Update. cvs/fedora-glibc-20050106T1443

2004-12-29  Jakub Jelinek  <jakub@redhat.com>

	* sysdeps/ia64/fpu/libm_support.h (__libm_error_support): Use
	libc_hidden_proto instead of HIDDEN_PROTO.
	* sysdeps/ia64/fpu/libm-symbols.h (HIDDEN_PROTO): Remove.
	(__libm_error_support): If ASSEMBLER and in libc, define to
	HIDDEN_JUMPTARGET(__libm_error_support).

2004-12-28  David Mosberger  <davidm@hpl.hp.com>

	* sysdeps/ia64/fpu/Makefile (duplicated-routines): New macro.
	(sysdep_routines): Replace libm_ldexp{,f,l} and libm_scalbn{,f,l}
	with $(duplicated-routines).
	(libm-sysdep_routines): Likewise, but substitute "s_" prefix for
	"m_" prefix.

2004-12-27  David Mosberger  <davidm@hpl.hp.com>

	* sysdeps/ia64/fpu/libm-symbols.h: Add include of <sysdep.h> and
	undefine "ret" macro.  Add __libm_error_support hidden definitions.

	* sysdeps/ia64/fpu/e_lgamma_r.c: Remove CVS-id comment.  Add
	missing portion of copyright statement.
	* sysdeps/ia64/fpu/e_lgammaf_r.c: Likewise.
	* sysdeps/ia64/fpu/e_lgammal_r.c: Likewise.

	* sysdeps/ia64/fpu/w_lgamma.c: Remove CVS-id comment.  Add
	missing portion of copyright statement.
	(__ieee754_lgamma): Rename from lgamma().  Make lgamma() a weak alias.
	(__ieee754_gamma): Likewise.
	* sysdeps/ia64/fpu/w_lgammaf.c: Likewise.
	* sysdeps/ia64/fpu/w_lgammal.c: Likewise.

2004-12-09  H. J. Lu <hjl@lucon.org>

	* sysdeps/ia64/fpu/s_nextafterl.c: Remove.
	* sysdeps/ia64/fpu/s_nexttoward.c: Likewise.
	* sysdeps/ia64/fpu/s_nexttowardf.c: Likewise.
	* sysdeps/ia64/fpu/e_atan2l.S: Remove (duplicate of e_atan2l.c).
	* sysdeps/ia64/fpu/e_expl.S: Likewise.
	* sysdeps/ia64/fpu/e_logl.c: Remove (conflicts with e_logl.S).

2004-11-18  David Mosberger  <davidm@hpl.hp.com>

	* sysdeps/ia64/fpu/README: New file.
	* sysdeps/ia64/fpu/gen_import_file_list: New file.
	* sysdeps/ia64/fpu/import_check: Likewise.
	* sysdeps/ia64/fpu/import_diffs: Likewise.
	* sysdeps/ia64/fpu/import_file.awk: Likewise.
	* sysdeps/ia64/fpu/import_intel_libm: Likewise.
	* sysdeps/ia64/fpu/libm-symbols.h: Likewise.

	* sysdeps/ia64/fpu/e_acos.S: Update from Intel libm v2.1+.
	* sysdeps/ia64/fpu/e_acosf.S: Likewise.
	* sysdeps/ia64/fpu/e_acosl.S: Likewise.
	* sysdeps/ia64/fpu/e_asin.S: Likewise.
	* sysdeps/ia64/fpu/e_asinf.S: Likewise.
	* sysdeps/ia64/fpu/e_asinl.S: Likewise.
	* sysdeps/ia64/fpu/e_atan2.S: Likewise.
	* sysdeps/ia64/fpu/e_atan2f.S: Likewise.
	* sysdeps/ia64/fpu/e_cosh.S: Likewise.
	* sysdeps/ia64/fpu/e_coshf.S: Likewise.
	* sysdeps/ia64/fpu/e_coshl.S: Likewise.
	* sysdeps/ia64/fpu/e_exp.S: Likewise.
	* sysdeps/ia64/fpu/e_expf.S: Likewise.
	* sysdeps/ia64/fpu/e_fmod.S: Likewise.
	* sysdeps/ia64/fpu/e_fmodf.S: Likewise.
	* sysdeps/ia64/fpu/e_fmodl.S: Likewise.
	* sysdeps/ia64/fpu/e_hypot.S: Likewise.
	* sysdeps/ia64/fpu/e_hypotf.S: Likewise.
	* sysdeps/ia64/fpu/e_hypotl.S: Likewise.
	* sysdeps/ia64/fpu/e_log.S: Likewise.
	* sysdeps/ia64/fpu/e_log2.S: Likewise.
	* sysdeps/ia64/fpu/e_log2f.S: Likewise.
	* sysdeps/ia64/fpu/e_log2l.S: Likewise.
	* sysdeps/ia64/fpu/e_logf.S: Likewise.
	* sysdeps/ia64/fpu/e_pow.S: Likewise.
	* sysdeps/ia64/fpu/e_powf.S: Likewise.
	* sysdeps/ia64/fpu/e_powl.S: Likewise.
	* sysdeps/ia64/fpu/e_remainder.S: Likewise.
	* sysdeps/ia64/fpu/e_remainderf.S: Likewise.
	* sysdeps/ia64/fpu/e_remainderl.S: Likewise.
	* sysdeps/ia64/fpu/e_scalb.S: Likewise.
	* sysdeps/ia64/fpu/e_scalbf.S: Likewise.
	* sysdeps/ia64/fpu/e_scalbl.S: Likewise.
	* sysdeps/ia64/fpu/e_sinh.S: Likewise.
	* sysdeps/ia64/fpu/e_sinhf.S: Likewise.
	* sysdeps/ia64/fpu/e_sinhl.S: Likewise.
	* sysdeps/ia64/fpu/e_sqrt.S: Likewise.
	* sysdeps/ia64/fpu/e_sqrtf.S: Likewise.
	* sysdeps/ia64/fpu/e_sqrtl.S: Likewise.
	* sysdeps/ia64/fpu/libm_error.c: Likewise.
	* sysdeps/ia64/fpu/libm_reduce.c: Likewise.
	* sysdeps/ia64/fpu/libm_support.h: Likewise.
	* sysdeps/ia64/fpu/s_atan.S: Likewise.
	* sysdeps/ia64/fpu/s_atanf.S: Likewise.
	* sysdeps/ia64/fpu/s_atanl.S: Likewise.
	* sysdeps/ia64/fpu/s_cbrt.S: Likewise.
	* sysdeps/ia64/fpu/s_cbrtf.S: Likewise.
	* sysdeps/ia64/fpu/s_cbrtl.S: Likewise.
	* sysdeps/ia64/fpu/s_ceil.S: Likewise.
	* sysdeps/ia64/fpu/s_ceilf.S: Likewise.
	* sysdeps/ia64/fpu/s_ceill.S: Likewise.
	* sysdeps/ia64/fpu/s_cos.S: Likewise.
	* sysdeps/ia64/fpu/s_cosf.S: Likewise.
	* sysdeps/ia64/fpu/s_cosl.S: Likewise.
	* sysdeps/ia64/fpu/s_expm1.S: Likewise.
	* sysdeps/ia64/fpu/s_expm1f.S: Likewise.
	* sysdeps/ia64/fpu/s_expm1l.S: Likewise.
	* sysdeps/ia64/fpu/s_fabs.S: Likewise.
	* sysdeps/ia64/fpu/s_fabsf.S: Likewise.
	* sysdeps/ia64/fpu/s_fabsl.S: Likewise.
	* sysdeps/ia64/fpu/s_floor.S: Likewise.
	* sysdeps/ia64/fpu/s_floorf.S: Likewise.
	* sysdeps/ia64/fpu/s_floorl.S: Likewise.
	* sysdeps/ia64/fpu/s_frexp.c: Likewise.
	* sysdeps/ia64/fpu/s_frexpf.c: Likewise.
	* sysdeps/ia64/fpu/s_frexpl.c: Likewise.
	* sysdeps/ia64/fpu/s_ilogb.S: Likewise.
	* sysdeps/ia64/fpu/s_ilogbf.S: Likewise.
	* sysdeps/ia64/fpu/s_ilogbl.S: Likewise.
	* sysdeps/ia64/fpu/s_log1p.S: Likewise.
	* sysdeps/ia64/fpu/s_log1pf.S: Likewise.
	* sysdeps/ia64/fpu/s_log1pl.S: Likewise.
	* sysdeps/ia64/fpu/s_logb.S: Likewise.
	* sysdeps/ia64/fpu/s_logbf.S: Likewise.
	* sysdeps/ia64/fpu/s_logbl.S: Likewise.
	* sysdeps/ia64/fpu/s_modf.S: Likewise.
	* sysdeps/ia64/fpu/s_modff.S: Likewise.
	* sysdeps/ia64/fpu/s_modfl.S: Likewise.
	* sysdeps/ia64/fpu/s_nearbyint.S: Likewise.
	* sysdeps/ia64/fpu/s_nearbyintf.S: Likewise.
	* sysdeps/ia64/fpu/s_nearbyintl.S: Likewise.
	* sysdeps/ia64/fpu/s_rint.S: Likewise.
	* sysdeps/ia64/fpu/s_rintf.S: Likewise.
	* sysdeps/ia64/fpu/s_rintl.S: Likewise.
	* sysdeps/ia64/fpu/s_round.S: Likewise.
	* sysdeps/ia64/fpu/s_roundf.S: Likewise.
	* sysdeps/ia64/fpu/s_roundl.S: Likewise.
	* sysdeps/ia64/fpu/s_significand.S: Likewise.
	* sysdeps/ia64/fpu/s_significandf.S: Likewise.
	* sysdeps/ia64/fpu/s_significandl.S: Likewise.
	* sysdeps/ia64/fpu/s_tan.S: Likewise.
	* sysdeps/ia64/fpu/s_tanf.S: Likewise.
	* sysdeps/ia64/fpu/s_tanl.S: Likewise.
	* sysdeps/ia64/fpu/s_trunc.S: Likewise.
	* sysdeps/ia64/fpu/s_truncf.S: Likewise.
	* sysdeps/ia64/fpu/s_truncl.S: Likewise.

	* sysdeps/ia64/fpu/e_acosh.S: New file from Intel libm v2.1+.
	* sysdeps/ia64/fpu/e_acoshf.S: Likewise.
	* sysdeps/ia64/fpu/e_acoshl.S: Likewise.
	* sysdeps/ia64/fpu/e_atanh.S: Likewise.
	* sysdeps/ia64/fpu/e_atanhf.S: Likewise.
	* sysdeps/ia64/fpu/e_atanhl.S: Likewise.
	* sysdeps/ia64/fpu/e_exp10.S: Likewise.
	* sysdeps/ia64/fpu/e_exp10f.S: Likewise.
	* sysdeps/ia64/fpu/e_exp10l.S: Likewise.
	* sysdeps/ia64/fpu/e_exp2.S: Likewise.
	* sysdeps/ia64/fpu/e_exp2f.S: Likewise.
	* sysdeps/ia64/fpu/e_exp2l.S: Likewise.
	* sysdeps/ia64/fpu/e_lgamma_r.S: Likewise.
	* sysdeps/ia64/fpu/e_lgammaf_r.S: Likewise.
	* sysdeps/ia64/fpu/e_lgammal_r.S: Likewise.
	* sysdeps/ia64/fpu/e_logl.S: Likewise.
	* sysdeps/ia64/fpu/libm_frexp.S: Likewise.
	* sysdeps/ia64/fpu/libm_frexpf.S: Likewise.
	* sysdeps/ia64/fpu/libm_frexpl.S: Likewise.
	* sysdeps/ia64/fpu/s_libm_ldexp.S: Likewise.
	* sysdeps/ia64/fpu/s_libm_ldexpf.S: Likewise.
	* sysdeps/ia64/fpu/s_libm_ldexpl.S: Likewise.
	* sysdeps/ia64/fpu/s_libm_scalbn.S: Likewise.
	* sysdeps/ia64/fpu/s_libm_scalbnf.S: Likewise.
	* sysdeps/ia64/fpu/s_libm_scalbnl.S: Likewise.
	* sysdeps/ia64/fpu/libm_lgamma.S: Likewise.
	* sysdeps/ia64/fpu/libm_lgammaf.S: Likewise.
	* sysdeps/ia64/fpu/libm_lgammal.S: Likewise.
	* sysdeps/ia64/fpu/libm_sincos.S: Likewise.
	* sysdeps/ia64/fpu/libm_sincos_large.S: Likewise.
	* sysdeps/ia64/fpu/libm_sincosf.S: Likewise.
	* sysdeps/ia64/fpu/libm_sincosl.S: Likewise.
	* sysdeps/ia64/fpu/libm_scalblnf.S: Likewise.
	* sysdeps/ia64/fpu/s_asinh.S: Likewise.
	* sysdeps/ia64/fpu/s_asinhf.S: Likewise.
	* sysdeps/ia64/fpu/s_asinhl.S: Likewise.
	* sysdeps/ia64/fpu/s_erf.S: Likewise.
	* sysdeps/ia64/fpu/s_erfc.S: Likewise.
	* sysdeps/ia64/fpu/s_erfcf.S: Likewise.
	* sysdeps/ia64/fpu/s_erfcl.S: Likewise.
	* sysdeps/ia64/fpu/s_erff.S: Likewise.
	* sysdeps/ia64/fpu/s_erfl.S: Likewise.
	* sysdeps/ia64/fpu/s_fdim.S: Likewise.
	* sysdeps/ia64/fpu/s_fdimf.S: Likewise.
	* sysdeps/ia64/fpu/s_fdiml.S: Likewise.
	* sysdeps/ia64/fpu/s_fma.S: Likewise.
	* sysdeps/ia64/fpu/s_fmaf.S: Likewise.
	* sysdeps/ia64/fpu/s_fmal.S: Likewise.
	* sysdeps/ia64/fpu/s_fmax.S: Likewise.
	* sysdeps/ia64/fpu/s_fmaxf.S: Likewise.
	* sysdeps/ia64/fpu/s_fmaxl.S: Likewise.
	* sysdeps/ia64/fpu/s_ldexp.c: Likewise.
	* sysdeps/ia64/fpu/s_ldexpf.c: Likewise.
	* sysdeps/ia64/fpu/s_ldexpl.c: Likewise.
	* sysdeps/ia64/fpu/s_nextafter.S: Likewise.
	* sysdeps/ia64/fpu/s_nextafterf.S: Likewise.
	* sysdeps/ia64/fpu/s_nextafterl.S: Likewise.
	* sysdeps/ia64/fpu/s_nexttoward.S: Likewise.
	* sysdeps/ia64/fpu/s_nexttowardf.S: Likewise.
	* sysdeps/ia64/fpu/s_nexttowardl.S: Likewise.
	* sysdeps/ia64/fpu/s_tanh.S: Likewise.
	* sysdeps/ia64/fpu/s_tanhf.S: Likewise.
	* sysdeps/ia64/fpu/s_tanhl.S: Likewise.
	* sysdeps/ia64/fpu/s_scalblnf.c: Likewise.
	* sysdeps/ia64/fpu/w_lgamma.c: Likewise.
	* sysdeps/ia64/fpu/w_lgammaf.c: Likewise.
	* sysdeps/ia64/fpu/w_lgammal.c: Likewise.
	* sysdeps/ia64/fpu/w_tgamma.S: Likewise.
	* sysdeps/ia64/fpu/w_tgammaf.S: Likewise.
	* sysdeps/ia64/fpu/w_tgammal.S: Likewise.

	* sysdeps/ia64/fpu/e_gamma_r.c: New empty dummy-file.
	* sysdeps/ia64/fpu/e_gammaf_r.c: Likewise.
	* sysdeps/ia64/fpu/e_gammal_r.c: Likewise.
	* sysdeps/ia64/fpu/w_acosh.c: Likewise.
	* sysdeps/ia64/fpu/w_acoshf.c: Likewise.
	* sysdeps/ia64/fpu/w_acoshl.c: Likewise.
	* sysdeps/ia64/fpu/w_atanh.c: Likewise.
	* sysdeps/ia64/fpu/w_atanhf.c: Likewise.
	* sysdeps/ia64/fpu/w_atanhl.c: Likewise.
	* sysdeps/ia64/fpu/w_exp10.c: Likewise.
	* sysdeps/ia64/fpu/w_exp10f.c: Likewise.
	* sysdeps/ia64/fpu/w_exp10l.c: Likewise.
	* sysdeps/ia64/fpu/w_exp2.c: Likewise.
	* sysdeps/ia64/fpu/w_exp2f.c: Likewise.
	* sysdeps/ia64/fpu/w_exp2l.c: Likewise.
	* sysdeps/ia64/fpu/w_expl.c: Likewise.
	* sysdeps/ia64/fpu/e_expl.S: Likewise.
	* sysdeps/ia64/fpu/w_lgamma_r.c: Likewise.
	* sysdeps/ia64/fpu/w_lgammaf_r.c: Likewise.
	* sysdeps/ia64/fpu/w_lgammal_r.c: Likewise.
	* sysdeps/ia64/fpu/w_log2.c: Likewise.
	* sysdeps/ia64/fpu/w_log2f.c: Likewise.
	* sysdeps/ia64/fpu/w_log2l.c: Likewise.
	* sysdeps/ia64/fpu/w_sinh.c: Likewise.
	* sysdeps/ia64/fpu/w_sinhf.c: Likewise.
	* sysdeps/ia64/fpu/w_sinhl.c: Likewise.

	* sysdeps/ia64/fpu/libm_atan2_reg.S: Remove.
	* sysdeps/ia64/fpu/s_ldexp.S: Likewise.
	* sysdeps/ia64/fpu/s_ldexpf.S: Likewise.
	* sysdeps/ia64/fpu/s_ldexpl.S: Likewise.
	* sysdeps/ia64/fpu/s_scalbn.S: Likewise.
	* sysdeps/ia64/fpu/s_scalbnf.S: Likewise.
	* sysdeps/ia64/fpu/s_scalbnl.S: Likewise.

	* sysdeps/ia64/fpu/s_sincos.c: Make it an empty dummy-file.
	* sysdeps/ia64/fpu/s_sincosf.c: Likewise.
	* sysdeps/ia64/fpu/s_sincosl.c: Likewise.

	* sysdeps/ia64/fpu/e_atan2l.S: Add "Not needed" comment.

	* sysdeps/ia64/fpu/s_copysign.S: Add __libm_copysign{,f,l}
	alias for use by libm_error.c

	* sysdeps/ia64/fpu/Makefile (libm-sysdep_routines): Remove
	libm_atan2_reg, libm_tan, libm_frexp4{f,l}.
	Mention s_erfc{,f,l}, libm_frexp{,f,l}, libm_ldexp{,f,l},
	libm_sincos{,f,l}, libm_sincos_large, libm_lgamma{,f,l},
	libm_scalbn{,f,l}, libm_scalblnf.
	(sysdep_routines): Remove libm_frexp4{,f,l}.
	Mention libm_frexp{,f,l}, libm_ldexp{,f,l}, and libm_scalbn{,f,l}.
	(sysdep-CPPFLAGS): Add -include libm-symbols.h, -D__POSIX__,
	_D_LIB_VERSIONIMF=_LIB_VERSION, -DSIZE_LONG_INT_64, and
	-DSIZE_LONG_LONG_INT_64.

212 files changed, 97708 insertions, 42198 deletions

diff --git a/sysdeps/ia64/fpu/Makefile b/sysdeps/ia64/fpu/Makefile
index 6d1b0c1717..7ec30c43d3 100644
--- a/sysdeps/ia64/fpu/Makefile
+++ b/sysdeps/ia64/fpu/Makefile
@@ -1,8 +1,33 @@
 ifeq ($(subdir),math)
-libm-sysdep_routines += libm_atan2_reg s_matherrf s_matherrl libm_reduce \
-			libm_tan libm_error \
-			libm_frexp4 libm_frexp4f libm_frexp4l
+#
+# Some files which need to go both into libc and libm have external
+# dependencies which need to be resolved differently for libc
+# vs. libm.  For example, inside libc, __libm_error_support needs to
+# resolve to HIDDEN_JUMPTARGET(__libm_error_support) whereas within
+# libm it always resolves to __libm_error_support.  Such files need to
+# be compiled twice.  Fortunately, math/Makefile already has logic to
+# support this: if a file starts with "s_", make will automatically
+# generate a matching file whose name starts with "m_" which simply
+# includes the corresponding "s_" file.
+#
+duplicated-routines = s_libm_ldexp s_libm_ldexpf s_libm_ldexpl \
+		      s_libm_scalbn s_libm_scalbnf s_libm_scalbnl
 
-sysdep_routines += libm_frexp4 libm_frexp4f libm_frexp4l libc_libm_error
-sysdep-CPPFLAGS += -DSIZE_INT_32
+libm-sysdep_routines += s_erfc s_erfcf s_erfcl \
+			s_matherrf s_matherrl libm_reduce \
+			libm_error \
+			libm_frexp libm_frexpf libm_frexpl \
+			libm_sincos libm_sincosf libm_sincosl \
+			libm_sincos_large \
+			libm_lgamma libm_lgammaf libm_lgammal \
+			libm_scalblnf \
+			$(duplicated-routines:s_%=m_%)
+
+sysdep_routines += libc_libm_error libm_frexp libm_frexpf libm_frexpl \
+		   $(duplicated-routines)
+
+sysdep-CPPFLAGS += -include libm-symbols.h \
+	-D__POSIX__ \
+	-D_LIB_VERSIONIMF=_LIB_VERSION \
+	-DSIZE_INT_32 -DSIZE_LONG_INT_64 -DSIZE_LONG_LONG_INT_64
 endif
diff --git a/sysdeps/ia64/fpu/README b/sysdeps/ia64/fpu/README
new file mode 100644
index 0000000000..6f4af0678a
--- /dev/null
+++ b/sysdeps/ia64/fpu/README
@@ -0,0 +1,50 @@
+  ----------------------------------------------------------
+  Notes on how to update libm based on Intel's libm releases
+  ----------------------------------------------------------
+
+This source code in this directory is currently based on Intel libm
+v2.1 as available from:
+
+  http://www.intel.com/software/products/opensource/libraries/num.htm
+
+To ease importing, fix some bugs, and simplify integration into libc,
+it is also necessary to apply the patch at:
+
+  ftp://ftp.hpl.hp.com/pub/linux-ia64/intel-libm-041228.diff.gz
+
+The expectation is that Intel will integrate most if not all of these
+changes into future releases of libm, so this patching step can
+hopefully be omitted in the future.
+
+Once the patched libm sources are extracted in a directory $LIBM, they
+can be imported into the libc source tree at $LIBC with the following
+step:
+
+	$ cd $LIBC/src/sysdep/ia64/fpu
+	$ ./import_intel_libm $LIBM
+
+This should produce a number of "Importing..." messages, without
+showing any errors.
+
+At this point, you should be able to build glibc in the usual fashion.
+We assume you do this in directory $OBJ.  Once the build has
+completed, run "make check" to verify that all (math) checks succeed.
+If these checks succeed, you should also run the following commands to
+verify that the new libm doesn't pollute the name-space and has proper
+size-info for the data objects:
+
+	$ cd $LIBC/src/sysdep/ia64/fpu
+	$ import_check $OBJ/math/
+
+There should be no (unexpected) errors reported by this script.
+
+As an optional step, you may also want to confirm that the new libm
+exports the exact same global symbols as the old one.
+
+If you want to see the changes introduced by the "import_intel_libm"
+script, you can run the commands:
+
+	$ cd $LIBC/src/sysdep/ia64/fpu
+	$ import_diffs
+
+That's it.
diff --git a/sysdeps/ia64/fpu/e_acos.S b/sysdeps/ia64/fpu/e_acos.S
index 7e83811727..b515f01a1e 100644
--- a/sysdeps/ia64/fpu/e_acos.S
+++ b/sysdeps/ia64/fpu/e_acos.S
@@ -1,10 +1,10 @@
 .file "acos.s"
 
-// Copyright (C) 2000, 2001, Intel Corporation
+
+// Copyright (c) 2000 - 2003 Intel Corporation
 // All rights reserved.
 //
-// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story,
-// and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation.
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
 //
 // Redistribution and use in source and binary forms, with or without
 // modification, are permitted provided that the following conditions are
@@ -20,9 +20,7 @@
 // * The name of Intel Corporation may not be used to endorse or promote
 // products derived from this software without specific prior written
 // permission.
-//
-// WARRANTY DISCLAIMER
-//
+
 // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
 // "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
@@ -37,838 +35,800 @@
 //
 // Intel Corporation is the author of this code, and requests that all
 // problem reports or change requests be submitted to it directly at
-// http://developer.intel.com/opensource.
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
 
 // History
 //==============================================================
-// 2/02/00  Initial version 
-// 8/17/00  New and much faster algorithm.
-// 8/30/00  Avoided bank conflicts on loads, shortened |x|=1 and x=0 paths,
+// 02/02/00 Initial version
+// 08/17/00 New and much faster algorithm.
+// 08/30/00 Avoided bank conflicts on loads, shortened |x|=1 and x=0 paths,
 //          fixed mfb split issue stalls.
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 08/02/02 New and much faster algorithm II
+// 02/06/03 Reordered header: .section, .global, .proc, .align
 
 // Description
 //=========================================
-// The acos function computes the principle value of the arc sine of x.
+// The acos function computes the principal value of the arc cosine of x.
+// acos(0) returns Pi/2, acos(1) returns 0, acos(-1) returns Pi.
 // A doman error occurs for arguments not in the range [-1,+1].
+//
+// The acos function returns the arc cosine in the range [0, Pi] radians.
+//
+// There are 8 paths:
+// 1. x = +/-0.0
+//    Return acos(x) = Pi/2 + x
+//
+// 2. 0.0 < |x| < 0.625
+//    Return acos(x) = Pi/2 - x - x^3 *PolA(x^2)
+//    where PolA(x^2) = A3 + A5*x^2 + A7*x^4 +...+ A35*x^32
+//
+// 3. 0.625 <=|x| < 1.0
+//    Return acos(x) = Pi/2 - asin(x) =
+//                   = Pi/2 - sign(x) * ( Pi/2 - sqrt(R) * PolB(R))
+//    Where R = 1 - |x|,
+//          PolB(R) = B0 + B1*R + B2*R^2 +...+B12*R^12
+//
+//    sqrt(R) is approximated using the following sequence:
+//        y0 = (1 + eps)/sqrt(R) - initial approximation by frsqrta,
+//             |eps| < 2^(-8)
+//        Then 3 iterations are used to refine the result:
+//        H0 = 0.5*y0
+//        S0 = R*y0
+//
+//        d0 = 0.5 - H0*S0
+//        H1 = H0 + d0*H0
+//        S1 = S0 + d0*S0
+//
+//        d1 = 0.5 - H1*S1
+//        H2 = H1 + d0*H1
+//        S2 = S1 + d0*S1
+//
+//        d2 = 0.5 - H2*S2
+//        S3 = S3 + d2*S3
+//
+//        S3 approximates sqrt(R) with enough accuracy for this algorithm
+//
+//    So, the result should be reconstracted as follows:
+//    acos(x) = Pi/2 - sign(x) * (Pi/2 - S3*PolB(R))
+//
+//    But for optimization purposes the reconstruction step is slightly
+//    changed:
+//    acos(x) = Cpi + sign(x)*PolB(R)*S2 - sign(x)*d2*S2*PolB(R)
+//        where Cpi = 0 if x > 0 and Cpi = Pi if x < 0
+//
+// 4. |x| = 1.0
+//    Return acos(1.0) = 0.0, acos(-1.0) = Pi
+//
+// 5. 1.0 < |x| <= +INF
+//    A doman error occurs for arguments not in the range [-1,+1]
+//
+// 6. x = [S,Q]NaN
+//    Return acos(x) = QNaN
+//
+// 7. x is denormal
+//    Return acos(x) = Pi/2 - x,
+//
+// 8. x is unnormal
+//    Normalize input in f8 and return to the very beginning of the function
+//
+// Registers used
+//==============================================================
+// Floating Point registers used:
+// f8, input, output
+// f6, f7, f9 -> f15, f32 -> f64
 
-// The acos function returns the arc cosine in the range [0, +pi] radians.
-// acos(1) returns +0, acos(-1) returns pi, acos(0) returns pi/2.
-// acos(x) returns a Nan and raises the invalid exception for |x| >1
+// General registers used:
+// r3, r21 -> r31, r32 -> r38
 
-// The acos function is just like asin except that pi/2 is added at the end.
+// Predicate registers used:
+// p0, p6 -> p14
 
 //
 // Assembly macros
 //=========================================
-
-#include "libm_support.h"
-
-// predicate registers
-//acos_pred_LEsqrt2by2            = p7
-//acos_pred_GTsqrt2by2            = p8
-
-// integer registers
-ASIN_Addr1                      = r33
-ASIN_Addr2                      = r34
-ASIN_FFFE                       = r35
-
-GR_SAVE_B0                      = r36
-GR_SAVE_PFS                     = r37
-GR_SAVE_GP                      = r38
-
-GR_Parameter_X                  = r39
-GR_Parameter_Y                  = r40
-GR_Parameter_RESULT             = r41
-GR_Parameter_Tag                = r42
-
-// floating point registers
-acos_coeff_P1                   = f32
-acos_coeff_P2                   = f33
-acos_coeff_P3                   = f34
-acos_coeff_P4                   = f35
-
-acos_coeff_P5                   = f36
-acos_coeff_P6                   = f37
-acos_coeff_P7                   = f38
-acos_coeff_P8                   = f39
-acos_coeff_P9                   = f40
-
-acos_coeff_P10                  = f41
-acos_coeff_P11                  = f42
-acos_coeff_P12                  = f43
-acos_coeff_P13                  = f44
-acos_coeff_P14                  = f45
-
-acos_coeff_P15                  = f46
-acos_coeff_P16                  = f47
-acos_coeff_P17                  = f48
-acos_coeff_P18                  = f49
-acos_coeff_P19                  = f50
-
-acos_coeff_P20                  = f51
-acos_coeff_P21                  = f52
-acos_const_sqrt2by2             = f53
-acos_const_piby2                = f54
-acos_abs_x                      = f55
-
-acos_tx                         = f56
-acos_tx2                        = f57
-acos_tx3                        = f58
-acos_tx4                        = f59
-acos_tx8                        = f60
-
-acos_tx11                       = f61
-acos_1poly_p8                   = f62
-acos_1poly_p19                  = f63
-acos_1poly_p4                   = f64
-acos_1poly_p15                  = f65
-
-acos_1poly_p6                   = f66
-acos_1poly_p17                  = f67
-acos_1poly_p0                   = f68
-acos_1poly_p11                  = f69
-acos_1poly_p2                   = f70
-
-acos_1poly_p13                  = f71
-acos_series_tx                  = f72
-acos_t                          = f73
-acos_t2                         = f74
-acos_t3                         = f75
-
-acos_t4                         = f76
-acos_t8                         = f77
-acos_t11                        = f78
-acos_poly_p8                    = f79
-acos_poly_p19                   = f80
-
-acos_poly_p4                    = f81
-acos_poly_p15                   = f82
-acos_poly_p6                    = f83
-acos_poly_p17                   = f84
-acos_poly_p0                    = f85
-
-acos_poly_p11                   = f86
-acos_poly_p2                    = f87
-acos_poly_p13                   = f88
-acos_series_t                   = f89
-acos_1by2                       = f90
-
-acos_3by2                       = f91
-acos_5by2                       = f92
-acos_11by4                      = f93
-acos_35by8                      = f94
-acos_63by8                      = f95
-
-acos_231by16                    = f96 
-acos_y0                         = f97 
-acos_H0                         = f98 
-acos_S0                         = f99 
-acos_d                          = f100
-
-acos_l1                         = f101
-acos_d2                         = f102
-acos_T0                         = f103
-acos_d1                         = f104
-acos_e0                         = f105
-
-acos_l2                         = f106
-acos_d3                         = f107
-acos_T3                         = f108
-acos_S1                         = f109
-acos_e1                         = f110
-
-acos_z                          = f111
-answer2                         = f112
-acos_sgn_x                      = f113
-acos_429by16                    = f114
-acos_18by4                      = f115
-
-acos_3by4                       = f116
-acos_l3                         = f117
-acos_T6                         = f118
-acos_const_add                  = f119
+// integer registers used
+// scratch
+rTblAddr                      = r3
+
+rPiBy2Ptr                     = r21
+rTmpPtr3                      = r22
+rDenoBound                    = r23
+rOne                          = r24
+rAbsXBits                     = r25
+rHalf                         = r26
+r0625                         = r27
+rSign                         = r28
+rXBits                        = r29
+rTmpPtr2                      = r30
+rTmpPtr1                      = r31
+
+// stacked
+GR_SAVE_PFS                   = r32
+GR_SAVE_B0                    = r33
+GR_SAVE_GP                    = r34
+GR_Parameter_X                = r35
+GR_Parameter_Y                = r36
+GR_Parameter_RESULT           = r37
+GR_Parameter_TAG              = r38
+
+// floating point registers used
+FR_X                          = f10
+FR_Y                          = f1
+FR_RESULT                     = f8
+
+
+// scratch
+fXSqr                         = f6
+fXCube                        = f7
+fXQuadr                       = f9
+f1pX                          = f10
+f1mX                          = f11
+f1pXRcp                       = f12
+f1mXRcp                       = f13
+fH                            = f14
+fS                            = f15
+// stacked
+fA3                           = f32
+fB1                           = f32
+fA5                           = f33
+fB2                           = f33
+fA7                           = f34
+fPiBy2                        = f34
+fA9                           = f35
+fA11                          = f36
+fB10                          = f35
+fB11                          = f36
+fA13                          = f37
+fA15                          = f38
+fB4                           = f37
+fB5                           = f38
+fA17                          = f39
+fA19                          = f40
+fB6                           = f39
+fB7                           = f40
+fA21                          = f41
+fA23                          = f42
+fB3                           = f41
+fB8                           = f42
+fA25                          = f43
+fA27                          = f44
+fB9                           = f43
+fB12                          = f44
+fA29                          = f45
+fA31                          = f46
+fA33                          = f47
+fA35                          = f48
+fBaseP                        = f49
+fB0                           = f50
+fSignedS                      = f51
+fD                            = f52
+fHalf                         = f53
+fR                            = f54
+fCloseTo1Pol                  = f55
+fSignX                        = f56
+fDenoBound                    = f57
+fNormX                        = f58
+fX8                           = f59
+fRSqr                         = f60
+fRQuadr                       = f61
+fR8                           = f62
+fX16                          = f63
+fCpi                          = f64
 
 // Data tables
 //==============================================================
-
-#ifdef _LIBC
-.rodata
-#else
-.data
-#endif
-
+RODATA
 .align 16
-
-acos_coeff_1_table:
-ASM_TYPE_DIRECTIVE(acos_coeff_1_table,@object)
-data8 0xE4E7E0A423A21249  , 0x00003FF8 //P7
-data8 0xC2F7EE0200FCE2A5  , 0x0000C003 //P18
-data8 0xB745D7F6C65C20E0  , 0x00003FF9 //P5
-data8 0xF75E381A323D4D94  , 0x0000C002 //P16
-data8 0x8959C2629C1024C0  , 0x0000C002 //P20
-data8 0xAFF68E7D241292C5  , 0x00003FF8 //P9
-data8 0xB6DB6DB7260AC30D  , 0x00003FFA //P3
-data8 0xD0417CE2B41CB7BF  , 0x0000C000 //P14
-data8 0x81D570FEA724E3E4  , 0x0000BFFD //P12
-data8 0xAAAAAAAAAAAAC277  , 0x00003FFC //P1
-data8 0xF534912FF3E7B76F  , 0x00003FFF //P21
-data8 0xc90fdaa22168c235  , 0x00003fff // pi/2
-data8 0x0000000000000000  , 0x00000000 // pad to avoid bank conflicts
-ASM_SIZE_DIRECTIVE(acos_coeff_1_table)
-
-
-acos_coeff_2_table:
-ASM_TYPE_DIRECTIVE(acos_coeff_2_table,@object)
-data8 0x8E26AF5F29B39A2A  , 0x00003FF9 //P6
-data8 0xB4F118A4B1015470  , 0x00004003 //P17
-data8 0xF8E38E10C25990E0  , 0x00003FF9 //P4
-data8 0x80F50489AEF1CAC6  , 0x00004002 //P15
-data8 0x92728015172CFE1C  , 0x00004003 //P19
-data8 0xBBC3D831D4595971  , 0x00003FF8 //P8
-data8 0x999999999952A5C3  , 0x00003FFB //P2
-data8 0x855576BE6F0975EC  , 0x00003FFF //P13
-data8 0xF12420E778077D89  , 0x00003FFA //P11
-data8 0xB6590FF4D23DE003  , 0x00003FF3 //P10
-data8 0xb504f333f9de6484  , 0x00003ffe // sqrt(2)/2
-ASM_SIZE_DIRECTIVE(acos_coeff_2_table)
-
-
-.align 32
-.global acos
-ASM_TYPE_DIRECTIVE(acos,@function)
+LOCAL_OBJECT_START(acos_base_range_table)
+// Ai: Polynomial coefficients for the acos(x), |x| < .625000
+// Bi: Polynomial coefficients for the acos(x), |x| > .625000
+data8 0xBFDAAB56C01AE468 //A29
+data8 0x3FE1C470B76A5B2B //A31
+data8 0xBFDC5FF82A0C4205 //A33
+data8 0x3FC71FD88BFE93F0 //A35
+data8 0xB504F333F9DE6487, 0x00003FFF //B0
+data8 0xAAAAAAAAAAAAFC18, 0x00003FFC //A3
+data8 0x3F9F1C71BC4A7823 //A9
+data8 0x3F96E8BBAAB216B2 //A11
+data8 0x3F91C4CA1F9F8A98 //A13
+data8 0x3F8C9DDCEDEBE7A6 //A15
+data8 0x3F877784442B1516 //A17
+data8 0x3F859C0491802BA2 //A19
+data8 0x9999999998C88B8F, 0x00003FFB //A5
+data8 0x3F6BD7A9A660BF5E //A21
+data8 0x3F9FC1659340419D //A23
+data8 0xB6DB6DB798149BDF, 0x00003FFA //A7
+data8 0xBFB3EF18964D3ED3 //A25
+data8 0x3FCD285315542CF2 //A27
+data8 0xF15BEEEFF7D2966A, 0x00003FFB //B1
+data8 0x3EF0DDA376D10FB3 //B10
+data8 0xBEB83CAFE05EBAC9 //B11
+data8 0x3F65FFB67B513644 //B4
+data8 0x3F5032FBB86A4501 //B5
+data8 0x3F392162276C7CBA //B6
+data8 0x3F2435949FD98BDF //B7
+data8 0xD93923D7FA08341C, 0x00003FF9 //B2
+data8 0x3F802995B6D90BDB //B3
+data8 0x3F10DF86B341A63F //B8
+data8 0xC90FDAA22168C235, 0x00003FFF // Pi/2
+data8 0x3EFA3EBD6B0ECB9D //B9
+data8 0x3EDE18BA080E9098 //B12
+LOCAL_OBJECT_END(acos_base_range_table)
 
 .section .text
-.proc  acos
-.align 32
-
-
-acos:
- 
-{     .mfi 
-     alloc      r32               = ar.pfs,1,6,4,0
-     fma.s1    acos_tx        =    f8,f8,f0
-     addl      ASIN_Addr2     =    @ltoff(acos_coeff_2_table),gp
-} 
-{     .mfi 
-     mov       ASIN_FFFE      =    0xFFFE
-     fnma.s1   acos_t         =    f8,f8,f1
-     addl      ASIN_Addr1     =    @ltoff(acos_coeff_1_table),gp
+GLOBAL_LIBM_ENTRY(acos)
+acos_unnormal_back:
+{ .mfi
+      getf.d             rXBits = f8 // grab bits of input value
+      // set p12 = 1 if x is a NaN, denormal, or zero
+      fclass.m           p12, p0 = f8, 0xcf
+      adds               rSign = 1, r0
+}
+{ .mfi
+      addl               rTblAddr = @ltoff(acos_base_range_table),gp
+      // 1 - x = 1 - |x| for positive x
+      fms.s1             f1mX = f1, f1, f8
+      addl               rHalf = 0xFFFE, r0 // exponent of 1/2
 }
 ;;
-
- 
-{     .mfi 
-     setf.exp       acos_1by2      =    ASIN_FFFE
-     fmerge.s       acos_abs_x     =    f1,f8
-     nop.i          999              ;;
-} 
- 
-
-{     .mmf 
-     ld8       ASIN_Addr1     =    [ASIN_Addr1]
-     ld8       ASIN_Addr2     =    [ASIN_Addr2]
-     fmerge.s  acos_sgn_x     =    f8,f1
-} 
-;;
-
-
-{     .mfi 
-     nop.m                      999
-     fcmp.lt.s1  p11,p12  = f8, f0
-     nop.i          999              ;;
-} 
- 
- 
-{     .mfi 
-     ldfe      acos_coeff_P7  =    [ASIN_Addr1],16
-     fma.s1    acos_tx2       =    acos_tx,acos_tx,f0
-     nop.i                      999
-} 
-{     .mfi 
-     ldfe      acos_coeff_P6  =    [ASIN_Addr2],16
-     fma.s1    acos_t2        =    acos_t,acos_t,f0
-     nop.i                      999;;
+{ .mfi
+      addl               r0625 = 0x3FE4, r0 // high 16 bits of 0.625
+      // set p8 = 1 if x < 0
+      fcmp.lt.s1         p8, p9 = f8, f0
+      shl                rSign = rSign, 63 // sign bit
+}
+{ .mfi
+      // point to the beginning of the table
+      ld8                rTblAddr = [rTblAddr]
+      // 1 + x = 1 - |x| for negative x
+      fma.s1             f1pX = f1, f1, f8
+      adds               rOne = 0x3FF, r0
 }
-
- 
-{     .mmf 
-     ldfe      acos_coeff_P18 =    [ASIN_Addr1],16
-     ldfe      acos_coeff_P17 =    [ASIN_Addr2],16
-     fclass.m.unc p8,p0  = f8, 0xc3	//@qnan |@snan
-} 
 ;;
-
- 
-{     .mmf 
-     ldfe      acos_coeff_P5  =    [ASIN_Addr1],16
-     ldfe      acos_coeff_P4  =    [ASIN_Addr2],16
-     frsqrta.s1     acos_y0,p0     =    acos_t
-} 
+{ .mfi
+      andcm              rAbsXBits = rXBits, rSign // bits of |x|
+      fmerge.s           fSignX = f8, f1 // signum(x)
+      shl                r0625 = r0625, 48 // bits of DP representation of 0.625
+}
+{ .mfb
+      setf.exp           fHalf = rHalf // load A2 to FP reg
+      fma.s1             fXSqr = f8, f8, f0 // x^2
+      // branch on special path if x is a NaN, denormal, or zero
+(p12) br.cond.spnt       acos_special
+}
 ;;
-
- 
-{     .mfi 
-     ldfe      acos_coeff_P16 =    [ASIN_Addr1],16
-     fcmp.gt.s1 p9,p0 = acos_abs_x,f1
-     nop.i                      999
-} 
-{     .mfb 
-     ldfe      acos_coeff_P15 =    [ASIN_Addr2],16
-(p8) fma.d     f8 = f8,f1,f0
-(p8) br.ret.spnt b0
+{ .mfi
+      adds               rPiBy2Ptr = 272, rTblAddr
+      nop.f              0
+      shl                rOne = rOne, 52 // bits of 1.0
+}
+{ .mfi
+      adds               rTmpPtr1 = 16, rTblAddr
+      nop.f              0
+      // set p6 = 1 if |x| < 0.625
+      cmp.lt             p6, p7 = rAbsXBits, r0625
 }
 ;;
-
- 
-{     .mmf 
-     ldfe      acos_coeff_P20 =    [ASIN_Addr1],16
-     ldfe      acos_coeff_P19 =    [ASIN_Addr2],16
-     fclass.m.unc p10,p0 = f8, 0x07	//@zero
-} 
+{ .mfi
+      ldfpd              fA29, fA31 = [rTblAddr] // A29, fA31
+      // 1 - x = 1 - |x| for positive x
+(p9)  fms.s1             fR = f1, f1, f8
+      // point to coefficient of "near 1" polynomial
+(p7)  adds               rTmpPtr2 = 176, rTblAddr
+}
+{ .mfi
+      ldfpd              fA33, fA35 = [rTmpPtr1], 16 // A33, fA35
+      // 1 + x = 1 - |x| for negative x
+(p8)  fma.s1             fR = f1, f1, f8
+(p6)  adds               rTmpPtr2 = 48, rTblAddr
+}
 ;;
-
- 
-{     .mfi 
-     ldfe      acos_coeff_P9  =    [ASIN_Addr1],16
-     fma.s1    acos_t4        =    acos_t2,acos_t2,f0
-(p9) mov GR_Parameter_Tag = 58 
-} 
-{     .mfi 
-     ldfe      acos_coeff_P8  =    [ASIN_Addr2],16
-     fma.s1    acos_3by2      =    acos_1by2,f1,f1
-     nop.i                      999;;
+{ .mfi
+      ldfe               fB0 = [rTmpPtr1], 16 // B0
+      nop.f              0
+      nop.i              0
 }
-
- 
-{     .mfi 
-     ldfe      acos_coeff_P2  =    [ASIN_Addr2],16
-     fma.s1    acos_tx4       =    acos_tx2,acos_tx2,f0
-     nop.i 999
-} 
-{     .mfb 
-     ldfe      acos_coeff_P3  =    [ASIN_Addr1],16
-     fma.s1    acos_t3        =    acos_t,acos_t2,f0
-(p9) br.cond.spnt  __libm_error_region
+{ .mib
+      adds               rTmpPtr3 = 16, rTmpPtr2
+      // set p10 = 1 if |x| = 1.0
+      cmp.eq             p10, p0 = rAbsXBits, rOne
+      // branch on special path for |x| = 1.0
+(p10) br.cond.spnt       acos_abs_1
 }
 ;;
-
- 
-{     .mfi 
-     ldfe      acos_coeff_P13 =    [ASIN_Addr2],16
-     fma.s1    acos_H0        =    acos_y0,acos_1by2,f0
-     nop.i                      999
-} 
-{     .mfi 
-     ldfe      acos_coeff_P14 =    [ASIN_Addr1],16
-     fma.s1    acos_S0        =    acos_y0,acos_t,f0
-     nop.i                      999;;
+{ .mfi
+      ldfe               fA3 = [rTmpPtr2], 48 // A3 or B1
+      nop.f              0
+      adds               rTmpPtr1 = 64, rTmpPtr3
 }
-
- 
-{     .mfi 
-     ldfe      acos_coeff_P11 =    [ASIN_Addr2],16
-     fcmp.eq.s1  p6,p0  = acos_abs_x, f1
-     nop.i                      999
-} 
-{     .mfi 
-     ldfe      acos_coeff_P12 =    [ASIN_Addr1],16
-     fma.s1    acos_tx3       =    acos_tx,acos_tx2,f0
-     nop.i 999
+{ .mib
+      ldfpd              fA9, fA11 = [rTmpPtr3], 16 // A9, A11 or B10, B11
+      // set p11 = 1 if |x| > 1.0
+      cmp.gt             p11, p0 = rAbsXBits, rOne
+      // branch on special path for |x| > 1.0
+(p11) br.cond.spnt       acos_abs_gt_1
 }
 ;;
-
- 
-{     .mfi 
-     ldfe      acos_coeff_P10 =    [ASIN_Addr2],16
-     fma.s1    acos_1poly_p6  =    acos_tx,acos_coeff_P7,acos_coeff_P6
-     nop.i                      999
-} 
-{     .mfi 
-     ldfe      acos_coeff_P1  =    [ASIN_Addr1],16
-     fma.s1    acos_poly_p6   =    acos_t,acos_coeff_P7,acos_coeff_P6
-     nop.i                      999;;
+{ .mfi
+      ldfpd              fA17, fA19 = [rTmpPtr2], 16 // A17, A19 or B6, B7
+      // initial approximation of 1 / sqrt(1 - x)
+      frsqrta.s1         f1mXRcp, p0 = f1mX
+      nop.i              0
 }
-
- 
-{     .mfi 
-     ldfe      acos_const_sqrt2by2 =    [ASIN_Addr2],16
-     fma.s1    acos_5by2           =    acos_3by2,f1,f1
-     nop.i                           999
-} 
-{     .mfi 
-     ldfe      acos_coeff_P21 =    [ASIN_Addr1],16
-     fma.s1    acos_11by4     =    acos_3by2,acos_3by2,acos_1by2
-     nop.i                      999;;
+{ .mfi
+      ldfpd              fA13, fA15 = [rTmpPtr3] // A13, A15 or B4, B5
+      fma.s1             fXCube = fXSqr, f8, f0 // x^3
+      nop.i              0
 }
-
- 
-{     .mfi 
-     ldfe      acos_const_piby2    =    [ASIN_Addr1],16
-     fma.s1    acos_poly_p17       =    acos_t,acos_coeff_P18,acos_coeff_P17
-     nop.i                      999
-} 
-{     .mfb 
-     nop.m                 999
-     fma.s1    acos_3by4 =    acos_3by2,acos_1by2,f0
-(p10) br.cond.spnt  L(ACOS_ZERO)    // Branch to short path if x=0
+;;
+{ .mfi
+      ldfe               fA5 = [rTmpPtr2], 48 // A5 or B2
+      // initial approximation of 1 / sqrt(1 + x)
+      frsqrta.s1         f1pXRcp, p0 = f1pX
+      nop.i              0
+}
+{ .mfi
+      ldfpd              fA21, fA23 = [rTmpPtr1], 16 // A21, A23 or B3, B8
+      fma.s1             fXQuadr = fXSqr, fXSqr, f0 // x^4
+      nop.i              0
 }
 ;;
-
- 
-{     .mfi 
-     nop.m                      999
-     fma.s1    acos_poly_p15  =    acos_t,acos_coeff_P16,acos_coeff_P15
-     nop.i                      999
-} 
-{     .mfb 
-     nop.m                 999
-     fnma.s1   acos_d    =    acos_S0,acos_H0,acos_1by2
-(p6) br.cond.spnt  L(ACOS_ABS_ONE)    // Branch to short path if |x|=1
+{ .mfi
+      ldfe               fA7 = [rTmpPtr1] // A7 or Pi/2
+      fma.s1             fRSqr = fR, fR, f0 // R^2
+      nop.i              0
+}
+{ .mfb
+      ldfpd              fA25, fA27 = [rTmpPtr2] // A25, A27 or B9, B12
+      nop.f              0
+(p6)  br.cond.spnt       acos_base_range;
 }
 ;;
 
- 
-{     .mfi 
-     nop.m                      999
-     fma.s1    acos_poly_p19  =    acos_t,acos_coeff_P20,acos_coeff_P19
-     nop.i                      999
-} 
-{     .mfi 
-     nop.m                      999
-     fma.s1    acos_poly_p4   =    acos_t,acos_coeff_P5,acos_coeff_P4
-     nop.i                      999;;
+{ .mfi
+      nop.m              0
+(p9)  fma.s1             fH = fHalf, f1mXRcp, f0 // H0 for x > 0
+      nop.i              0
 }
-
- 
-{     .mfi 
-     nop.m                      999
-     fma.s1    acos_1poly_p17 =    acos_tx,acos_coeff_P18,acos_coeff_P17
-     nop.i                      999
-} 
-{     .mfi 
-     nop.m                      999
-     fma.s1    acos_poly_p8   =    acos_t,acos_coeff_P9,acos_coeff_P8
-     nop.i                      999;;
+{ .mfi
+      nop.m              0
+(p9)  fma.s1             fS = f1mX, f1mXRcp, f0  // S0 for x > 0
+      nop.i              0
 }
-
- 
-{     .mfi 
-     nop.m                      999
-     fms.s1    acos_35by8     =    acos_5by2,acos_11by4,acos_5by2
-     nop.i                      999
-} 
-{     .mfi 
-     nop.m                      999
-     fma.s1    acos_63by8     =    acos_5by2,acos_11by4,f1
-     nop.i                      999;;
+;;
+{ .mfi
+      nop.m              0
+(p8)  fma.s1             fH = fHalf, f1pXRcp, f0 // H0 for x < 0
+      nop.i              0
 }
-
- 
-{     .mfi 
-     nop.m                      999
-     fma.s1    acos_poly_p13  =    acos_t,acos_coeff_P14,acos_coeff_P13
-     nop.i                      999
-} 
-{     .mfi 
-     nop.m                      999
-     fma.s1    acos_18by4     =    acos_3by2,acos_5by2,acos_3by4
-     nop.i                      999;;
+{ .mfi
+      nop.m              0
+(p8)  fma.s1             fS = f1pX, f1pXRcp, f0  // S0 for x > 0
+      nop.i              0
 }
-
- 
-{     .mfi 
-     nop.m                 999
-     fma.s1    acos_l1   =    acos_5by2,acos_d,acos_3by2
-     nop.i                 999
-} 
-{     .mfi 
-     nop.m                 999
-     fma.s1    acos_d2   =    acos_d,acos_d,f0
-     nop.i                 999;;
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fRQuadr = fRSqr, fRSqr, f0 // R^4
+      nop.i              0
 }
-
- 
-{     .mfi 
-     nop.m                      999
-     fma.s1    acos_poly_p15  =    acos_t2,acos_poly_p17,acos_poly_p15
-     nop.i                      999
-} 
-{     .mfi 
-     nop.m                 999
-     fma.s1    acos_T0   =    acos_d,acos_S0,f0
-     nop.i                 999;;
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fB11 = fB11, fR, fB10
+      nop.i              0
 }
-
- 
-{     .mfi 
-     nop.m                      999
-     fma.s1    acos_poly_p19  =    acos_t2,acos_coeff_P21,acos_poly_p19
-     nop.i                      999
-} 
-{     .mfi 
-     nop.m                      999
-     fma.s1    acos_poly_p4   =    acos_t2,acos_poly_p6,acos_poly_p4
-     nop.i                      999;;
+{ .mfi
+      nop.m              0
+      fma.s1             fB1 = fB1, fR, fB0
+      nop.i              0
 }
-
- 
-{     .mfi 
-     nop.m                 999
-     fma.s1    acos_d1   =    acos_35by8,acos_d,f0
-     nop.i                 999
-} 
-{     .mfi 
-     nop.m                      999
-     fma.s1    acos_231by16   =    acos_3by2,acos_35by8,acos_63by8
-     nop.i                      999;;
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fB5 = fB5, fR, fB4
+      nop.i              0
 }
-
- 
-{     .mfi 
-     nop.m                      999
-     fma.s1    acos_poly_p2   =    acos_t,acos_coeff_P3,acos_coeff_P2
-     nop.i                      999
-} 
-{     .mfi 
-     nop.m                      999
-     fma.s1    acos_poly_p8   =    acos_t2,acos_coeff_P10,acos_poly_p8
-     nop.i                      999;;
+{ .mfi
+      nop.m              0
+      fma.s1             fB7 = fB7, fR, fB6
+      nop.i              0
 }
-
- 
-{     .mfi 
-     nop.m                      999
-     fma.s1    acos_poly_p11  =    acos_t,acos_coeff_P12,acos_coeff_P11
-     nop.i                      999
-} 
-{     .mfi 
-     nop.m                 999
-     fma.s1    acos_e0   =    acos_d2,acos_l1,acos_d
-     nop.i                 999;;
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fB3 = fB3, fR, fB2
+      nop.i              0
 }
-
- 
-{     .mfi 
-     nop.m                      999
-     fma.s1    acos_1poly_p15 =    acos_tx,acos_coeff_P16,acos_coeff_P15
-     nop.i                      999
-} 
-{     .mfi 
-     nop.m                      999
-     fma.s1    acos_poly_p0   =    acos_t,acos_coeff_P1,f1
-     nop.i                      999;;
+;;
+{ .mfi
+      nop.m              0
+      fnma.s1            fD = fH, fS, fHalf // d0 = 1/2 - H0*S0
+      nop.i              0
 }
-
- 
-{     .mfi 
-     nop.m                      999
-     fma.s1    acos_1poly_p19 =    acos_tx,acos_coeff_P20,acos_coeff_P19
-     nop.i                      999
-} 
-{     .mfi 
-     nop.m                      999
-     fma.s1    acos_1poly_p4  =    acos_tx,acos_coeff_P5,acos_coeff_P4
-     nop.i                      999;;
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fR8 = fRQuadr, fRQuadr, f0 // R^4
+      nop.i              0
 }
-
- 
-{     .mfi 
-     nop.m                      999
-     fma.s1    acos_1poly_p8  =    acos_tx,acos_coeff_P9,acos_coeff_P8
-     nop.i                      999
-} 
-{     .mfi 
-     nop.m                 999
-     fma.s1    acos_l2   =    acos_231by16,acos_d,acos_63by8
-     nop.i                 999;;
+{ .mfi
+      nop.m              0
+      fma.s1             fB9 = fB9, fR, fB8
+      nop.i              0
 }
-
- 
-{     .mfi 
-     nop.m                 999
-     fma.s1    acos_d3   =    acos_d2,acos_d,f0
-     nop.i                 999
-} 
-{     .mfi 
-     nop.m                 999
-     fma.s1    acos_T3   =    acos_d2,acos_T0,f0
-     nop.i                 999;;
+;;
+{.mfi
+      nop.m              0
+      fma.s1             fB12 = fB12, fRSqr, fB11
+      nop.i              0
 }
-
- 
-{     .mfi 
-     nop.m                      999
-     fma.s1    acos_429by16   =    acos_18by4,acos_11by4,acos_231by16
-     nop.i                      999
-} 
-{     .mfi 
-     nop.m                 999
-     fma.s1    acos_S1   =    acos_e0,acos_S0,acos_S0
-     nop.i                 999;;
+{.mfi
+      nop.m              0
+      fma.s1             fB7 = fB7, fRSqr, fB5
+      nop.i              0
 }
-
- 
-{     .mfi 
-     nop.m                      999
-     fma.s1    acos_poly_p4   =    acos_t4,acos_poly_p8,acos_poly_p4
-     nop.i                      999
-} 
-{     .mfi 
-     nop.m                      999
-     fma.s1    acos_poly_p15  =    acos_t4,acos_poly_p19,acos_poly_p15
-     nop.i                      999;;
+;;
+{.mfi
+      nop.m              0
+      fma.s1             fB3 = fB3, fRSqr, fB1
+      nop.i              0
 }
-
- 
-{     .mfi 
-     nop.m                      999
-     fma.s1    acos_poly_p0   =    acos_t2,acos_poly_p2,acos_poly_p0
-     nop.i                      999
-} 
-{     .mfi 
-     nop.m                      999
-     fma.s1    acos_poly_p11  =    acos_t2,acos_poly_p13,acos_poly_p11
-     nop.i                      999;;
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fH = fH, fD, fH // H1 = H0 + H0*d0
+      nop.i              0
 }
-
- 
-{     .mfi 
-     nop.m                 999
-     fma.s1    acos_t8   =    acos_t4,acos_t4,f0
-     nop.i                 999
-} 
-{     .mfi 
-     nop.m                 999
-     fma.s1    acos_e1   =    acos_d2,acos_l2,acos_d1
-     nop.i                 999;;
+{ .mfi
+      nop.m              0
+      fma.s1             fS = fS, fD, fS // S1 = S0 + S0*d0
+      nop.i              0
 }
-
- 
-{     .mfi 
-     nop.m                      999
-     fma.s1    acos_1poly_p4  =    acos_tx2,acos_1poly_p6,acos_1poly_p4
-     nop.i                      999
-} 
-{     .mfi 
-     nop.m                      999
-     fma.s1    acos_1poly_p15 =    acos_tx2,acos_1poly_p17,acos_1poly_p15
-     nop.i                      999;;
+;;
+{.mfi
+      nop.m              0
+(p9)  fma.s1             fCpi = f1, f0, f0 // Cpi = 0 if x > 0
+      nop.i              0
 }
-
- 
-{     .mfi 
-     nop.m                      999
-     fma.s1    acos_1poly_p8  =    acos_tx2,acos_coeff_P10,acos_1poly_p8
-     nop.i                      999
-} 
-{     .mfi 
-     nop.m                      999
-     fma.s1    acos_1poly_p19 =    acos_tx2,acos_coeff_P21,acos_1poly_p19
-     nop.i                      999;;
+{ .mfi
+      nop.m              0
+(p8)  fma.s1             fCpi = fPiBy2, f1, fPiBy2 // Cpi = Pi if x < 0
+      nop.i              0
 }
-
- 
-{     .mfi 
-     nop.m                      999
-     fma.s1    acos_1poly_p2  =    acos_tx,acos_coeff_P3,acos_coeff_P2
-     nop.i                      999
-} 
-{     .mfi 
-     nop.m                      999
-     fma.s1    acos_1poly_p13 =    acos_tx,acos_coeff_P14,acos_coeff_P13
-     nop.i                      999;;
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fB12 = fB12, fRSqr, fB9
+      nop.i              0
 }
-
- 
-{     .mfi 
-     nop.m                      999
-     fma.s1    acos_1poly_p0  =    acos_tx,acos_coeff_P1,f1
-     nop.i                      999
-} 
-{     .mfi 
-     nop.m                      999
-     fma.s1    acos_1poly_p11 =    acos_tx,acos_coeff_P12,acos_coeff_P11
-     nop.i                      999;;
+{ .mfi
+      nop.m              0
+      fma.s1             fB7 = fB7, fRQuadr, fB3
+      nop.i              0
 }
-
- 
-{     .mfi 
-     nop.m                 999
-     fma.s1    acos_l3   =    acos_429by16,acos_d,f0
-     nop.i                 999
-} 
-{     .mfi 
-     nop.m                 999
-     fma.s1    acos_z    =    acos_e1,acos_T3,acos_S1
-     nop.i                 999;;
+;;
+{.mfi
+      nop.m              0
+      fnma.s1            fD = fH, fS, fHalf // d1 = 1/2 - H1*S1
+      nop.i              0
 }
-
- 
-{     .mfi 
-     nop.m                      999
-     fma.s1    acos_poly_p11  =    acos_t4,acos_poly_p15,acos_poly_p11
-     nop.i                      999
-} 
-{     .mfi 
-     nop.m                 999
-     fma.s1    acos_T6   =    acos_T3,acos_d3,f0
-     nop.i                 999;;
+{ .mfi
+      nop.m              0
+      fnma.s1            fSignedS = fSignX, fS, f0 // -signum(x)*S1
+      nop.i              0
 }
-
- 
-{     .mfi 
-     nop.m                 999
-     fma.s1    acos_t11  =    acos_t8,acos_t3,f0
-     nop.i                 999
-} 
-{     .mfi 
-     nop.m                      999
-     fma.s1    acos_poly_p0   =    acos_t4,acos_poly_p4,acos_poly_p0
-     nop.i                      999;;
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fCloseTo1Pol = fB12, fR8, fB7
+      nop.i              0
 }
-
- 
-{     .mfi 
-     nop.m                      999
-     fma.s1    acos_1poly_p4  =    acos_tx4,acos_1poly_p8,acos_1poly_p4
-     nop.i                      999
-} 
-{     .mfi 
-     nop.m                      999
-     fma.s1    acos_1poly_p15 =    acos_tx4,acos_1poly_p19,acos_1poly_p15
-     nop.i                      999;;
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fH = fH, fD, fH // H2 = H1 + H1*d1
+      nop.i              0
 }
-
- 
-{     .mfi 
-     nop.m                      999
-     fma.s1    acos_1poly_p0  =    acos_tx2,acos_1poly_p2,acos_1poly_p0
-     nop.i                      999
-} 
-{     .mfi 
-     nop.m                      999
-     fma.s1    acos_1poly_p11 =    acos_tx2,acos_1poly_p13,acos_1poly_p11
-     nop.i                      999;;
+{ .mfi
+      nop.m              0
+      fma.s1             fS = fS, fD, fS // S2 = S1 + S1*d1
+      nop.i              0
 }
-
- 
-{     .mfi 
-     nop.m                                                         999
-//     fcmp.le.s1     acos_pred_LEsqrt2by2,acos_pred_GTsqrt2by2    =    acos_abs_x,acos_const_sqrt2by2
-     fcmp.le.s1     p7,p8    =    acos_abs_x,acos_const_sqrt2by2
-     nop.i                                                         999
-} 
-{     .mfi 
-     nop.m                 999
-     fma.s1    acos_tx8  =    acos_tx4,acos_tx4,f0
-     nop.i                 999;;
+;;
+{ .mfi
+      nop.m              0
+      // -signum(x)* S2 = -signum(x)*(S1 + S1*d1)
+      fma.s1             fSignedS = fSignedS, fD, fSignedS
+      nop.i              0
 }
-
- 
-{     .mfi 
-     nop.m                 999
-     fma.s1    acos_z    =    acos_l3,acos_T6,acos_z
-     nop.i                 999;;
-} 
- 
-{     .mfi
-     nop.m                      999
-     fma.s1    acos_series_t  =    acos_t11,acos_poly_p11,acos_poly_p0
-     nop.i                      999
-}
-{    .mfi
-     nop.m 999
-(p11) fma.s1 acos_const_add = acos_const_piby2, f1, acos_const_piby2
-     nop.i 999
+;;
+{.mfi
+      nop.m              0
+      fnma.s1            fD = fH, fS, fHalf // d2 = 1/2 - H2*S2
+      nop.i              0
 }
 ;;
-
 { .mfi
-      nop.m 999
-(p12) fma.s1 acos_const_add = f1,f0,f0
-      nop.i 999
+      nop.m              0
+      // Cpi + signum(x)*PolB*S2
+      fnma.s1            fCpi = fSignedS, fCloseTo1Pol, fCpi
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      // signum(x)*PolB * S2
+      fnma.s1            fCloseTo1Pol = fSignedS, fCloseTo1Pol, f0
+      nop.i              0
 }
 ;;
- 
-{     .mfi 
-     nop.m                      999
-     fma.s1    acos_1poly_p0  =    acos_tx4,acos_1poly_p4,acos_1poly_p0
-     nop.i                      999
-} 
-{     .mfi 
-     nop.m                      999
-     fma.s1    acos_1poly_p11 =    acos_tx4,acos_1poly_p15,acos_1poly_p11
-     nop.i                      999;;
+{ .mfb
+      nop.m              0
+      // final result for 0.625 <= |x| < 1
+      fma.d.s0           f8 = fCloseTo1Pol, fD, fCpi
+      // exit here for  0.625 <= |x| < 1
+      br.ret.sptk        b0
 }
-
- 
-{     .mfi 
-     nop.m                 999
-     fma.s1    acos_tx11 =    acos_tx8,acos_tx3,f0
-     nop.i                 999;;
-} 
- 
-{     .mfi 
-                         nop.m                 999
-//(acos_pred_GTsqrt2by2)   fnma.s1      answer2   =    acos_z,acos_series_t,acos_const_piby2
-(p8)   fnma.s1      answer2   =    acos_z,acos_series_t,f0
-                         nop.i                 999;;
-} 
- 
-{     .mfi 
-     nop.m                      999
-     fma.s1    acos_series_tx =    acos_tx11,acos_1poly_p11,acos_1poly_p0
-     nop.i                      999;;
-} 
- 
-{     .mfi 
-                         nop.m                 999
-//(acos_pred_GTsqrt2by2)   fnma.d     f8   =    acos_sgn_x,answer2,acos_const_piby2
-(p8)   fnma.d     f8   =    acos_sgn_x,answer2,acos_const_add
-                         nop.i                 999;;
-} 
- 
-{     .mfb 
-                         nop.m                 999
-//(acos_pred_LEsqrt2by2)   fnma.d     f8   =    f8,acos_series_tx,acos_const_piby2
-(p7)   fnma.d     f8   =    f8,acos_series_tx,acos_const_piby2
-     br.ret.sptk b0 ;;
-} 
+;;
 
 
-L(ACOS_ZERO):
-// Here if x=0
-{     .mfb 
-      nop.m                 999
-      fma.d    f8 =    acos_const_piby2,f1,f0
-      br.ret.sptk b0 ;;
-} 
+// here if |x| < 0.625
+.align 32
+acos_base_range:
+{ .mfi
+      ldfe               fCpi = [rPiBy2Ptr] // Pi/2
+      fma.s1             fA33 = fA33, fXSqr, fA31
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fA15 = fA15, fXSqr, fA13
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fA29 = fA29, fXSqr, fA27
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fA25 = fA25, fXSqr, fA23
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fA21 = fA21, fXSqr, fA19
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fA9 = fA9, fXSqr, fA7
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fA5 = fA5, fXSqr, fA3
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fA35 = fA35, fXQuadr, fA33
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fA17 = fA17, fXQuadr, fA15
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fX8 = fXQuadr, fXQuadr, f0 // x^8
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fA25 = fA25, fXQuadr, fA21
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fA9 = fA9, fXQuadr, fA5
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fms.s1             fCpi = fCpi, f1, f8 // Pi/2 - x
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fA35 = fA35, fXQuadr, fA29
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fA17 = fA17, fXSqr, fA11
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fX16 = fX8, fX8, f0 // x^16
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fA35 = fA35, fX8, fA25
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fA17 = fA17, fX8, fA9
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fBaseP = fA35, fX16, fA17
+      nop.i              0
+}
+;;
+{ .mfb
+      nop.m              0
+      // final result for |x| < 0.625
+      fnma.d.s0           f8 = fBaseP, fXCube, fCpi
+      // exit here for |x| < 0.625 path
+      br.ret.sptk        b0
+}
+;;
 
+// here if |x| = 1
+// acos(1) = 0
+// acos(-1) = Pi
+.align 32
+acos_abs_1:
+{ .mfi
+      ldfe               fPiBy2 = [rPiBy2Ptr] // Pi/2
+      nop.f              0
+      nop.i              0
+}
+;;
+.pred.rel "mutex", p8, p9
+{ .mfi
+      nop.m              0
+      // result for x = 1.0
+(p9)  fma.d.s0           f8 = f1, f0, f0 // 0.0
+      nop.i              0
+}
+{.mfb
+      nop.m              0
+      // result for x = -1.0
+(p8)  fma.d.s0           f8 = fPiBy2, f1, fPiBy2 // Pi
+      // exit here for |x| = 1.0
+      br.ret.sptk        b0
+}
+;;
 
-L(ACOS_ABS_ONE):
-.pred.rel "mutex",p11,p12
-// Here if |x|=1
-{     .mfi 
-      nop.m                 999
-(p11) fma.d    f8 =    acos_const_piby2,f1,acos_const_piby2 // acos(-1)=pi
-      nop.i                 999
-} 
-{     .mfb 
-      nop.m                 999
-(p12) fma.d    f8 =    f1,f0,f0 // acos(1)=0
-      br.ret.sptk b0 ;;
-} 
+// here if x is a NaN, denormal, or zero
+.align 32
+acos_special:
+{ .mfi
+      // point to Pi/2
+      adds               rPiBy2Ptr = 272, rTblAddr
+      // set p12 = 1 if x is a NaN
+      fclass.m           p12, p0 = f8, 0xc3
+      nop.i              0
+}
+{ .mlx
+      nop.m              0
+      // smallest positive DP normalized number
+      movl               rDenoBound = 0x0010000000000000
+}
+;;
+{ .mfi
+      ldfe               fPiBy2 = [rPiBy2Ptr] // Pi/2
+      // set p13 = 1 if x = 0.0
+      fclass.m           p13, p0 = f8, 0x07
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fnorm.s1           fNormX = f8
+      nop.i              0
+}
+;;
+{ .mfb
+      // load smallest normal to FP reg
+      setf.d             fDenoBound = rDenoBound
+      // answer if x is a NaN
+(p12) fma.d.s0           f8 = f8,f1,f0
+      // exit here if x is a NaN
+(p12) br.ret.spnt        b0
+}
+;;
+{ .mfi
+      nop.m              0
+      // absolute value of normalized x
+      fmerge.s           fNormX = f1, fNormX
+      nop.i              0
+}
+;;
+{ .mfb
+      nop.m              0
+      // final result for x = 0
+(p13) fma.d.s0           f8 = fPiBy2, f1, f8
+      // exit here if x = 0.0
+(p13) br.ret.spnt        b0
+}
+;;
+// if we still here then x is denormal or unnormal
+{ .mfi
+      nop.m              0
+      // set p14 = 1 if normalized x is greater than or
+      // equal to the smallest denormalized value
+      // So, if p14 is set to 1 it means that we deal with
+      // unnormal rather than with "true" denormal
+      fcmp.ge.s1         p14, p0 = fNormX, fDenoBound
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+(p14) fcmp.eq.s0         p6, p0 = f8, f0      // Set D flag if x unnormal
+      nop.i              0
+}
+{ .mfb
+      nop.m              0
+      // normalize unnormal input
+(p14) fnorm.s1           f8 = f8
+      // return to the main path
+(p14) br.cond.sptk       acos_unnormal_back
+}
+;;
+// if we still here it means that input is "true" denormal
+{ .mfb
+      nop.m              0
+      // final result if x is denormal
+      fms.d.s0           f8 = fPiBy2, f1, f8 // Pi/2 - x
+      // exit here if x is denormal
+      br.ret.sptk        b0
+}
+;;
 
+// here if |x| > 1.0
+// error handler should be called
+.align 32
+acos_abs_gt_1:
+{ .mfi
+      alloc              r32 = ar.pfs, 0, 3, 4, 0 // get some registers
+      fmerge.s           FR_X = f8,f8
+      nop.i              0
+}
+{ .mfb
+      mov                GR_Parameter_TAG = 58 // error code
+      frcpa.s0           FR_RESULT, p0 = f0,f0
+      // call error handler routine
+      br.cond.sptk       __libm_error_region
+}
+;;
+GLOBAL_LIBM_END(acos)
 
-.endp acos
-ASM_SIZE_DIRECTIVE(acos)
 
-.proc __libm_error_region
-__libm_error_region:
+LOCAL_LIBM_ENTRY(__libm_error_region)
 .prologue
 { .mfi
         add   GR_Parameter_Y=-32,sp             // Parameter 2 value
-                nop.f 999
+        nop.f 0
 .save   ar.pfs,GR_SAVE_PFS
         mov  GR_SAVE_PFS=ar.pfs                 // Save ar.pfs
 }
@@ -879,28 +839,29 @@ __libm_error_region:
         mov GR_SAVE_GP=gp                       // Save gp
 };;
 { .mmi
-        stfs [GR_Parameter_Y] = f1,16         // Store Parameter 2 on stack
+        stfd [GR_Parameter_Y] = FR_Y,16         // STORE Parameter 2 on stack
         add GR_Parameter_X = 16,sp              // Parameter 1 address
 .save   b0, GR_SAVE_B0
         mov GR_SAVE_B0=b0                       // Save b0
 };;
-
 .body
-        frcpa.s0 f9,p0 = f0,f0
-;;
-
 { .mib
-        stfd [GR_Parameter_X] = f8            // Store Parameter 1 on stack
-        add   GR_Parameter_RESULT = 0,GR_Parameter_Y
-        nop.b 0                                 // Parameter 3 address
+        stfd [GR_Parameter_X] = FR_X                  // STORE Parameter 1 on stack
+        add   GR_Parameter_RESULT = 0,GR_Parameter_Y  // Parameter 3 address
+        nop.b 0
 }
 { .mib
-        stfd [GR_Parameter_Y] = f9,-16           // Store Parameter 3 on stack
-        adds r32 = 48,sp
-        br.call.sptk b0=__libm_error_support#   // Call error handling function
+        stfd [GR_Parameter_Y] = FR_RESULT             // STORE Parameter 3 on stack
+        add   GR_Parameter_Y = -16,GR_Parameter_Y
+        br.call.sptk b0=__libm_error_support#         // Call error handling function
 };;
 { .mmi
-        ldfd  f8 = [r32]       // Get return result off stack
+        add   GR_Parameter_RESULT = 48,sp
+        nop.m 0
+        nop.i 0
+};;
+{ .mmi
+        ldfd  f8 = [GR_Parameter_RESULT]       // Get return result off stack
 .restore sp
         add   sp = 64,sp                       // Restore stack pointer
         mov   b0 = GR_SAVE_B0                  // Restore return address
@@ -909,11 +870,8 @@ __libm_error_region:
         mov   gp = GR_SAVE_GP                  // Restore gp
         mov   ar.pfs = GR_SAVE_PFS             // Restore ar.pfs
         br.ret.sptk     b0                     // Return
-
 };;
 
-.endp __libm_error_region
-ASM_SIZE_DIRECTIVE(__libm_error_region)
-
-.type   __libm_error_support,@function
-.global __libm_error_support
+LOCAL_LIBM_END(__libm_error_region)
+.type   __libm_error_support#,@function
+.global __libm_error_support#
diff --git a/sysdeps/ia64/fpu/e_acosf.S b/sysdeps/ia64/fpu/e_acosf.S
index a3425414cf..417f5b7ddc 100644
--- a/sysdeps/ia64/fpu/e_acosf.S
+++ b/sysdeps/ia64/fpu/e_acosf.S
@@ -1,10 +1,10 @@
 .file "acosf.s"
 
-// Copyright (C) 2000, 2001, Intel Corporation
+
+// Copyright (c) 2000 - 2003, Intel Corporation
 // All rights reserved.
 //
-// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story,
-// and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation.
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
 //
 // Redistribution and use in source and binary forms, with or without
 // modification, are permitted provided that the following conditions are
@@ -20,7 +20,7 @@
 // * The name of Intel Corporation may not be used to endorse or promote
 // products derived from this software without specific prior written
 // permission.
-//
+
 // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
 // "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
@@ -35,19 +35,23 @@
 //
 // Intel Corporation is the author of this code, and requests that all
 // problem reports or change requests be submitted to it directly at
-// http://developer.intel.com/opensource.
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
 
 // History
 //==============================================================
-// 2/02/00  Initial revision
-// 6/28/00  Improved speed
-// 6/31/00  Changed register allocation because of some duplicate macros
+// 02/02/00 Initial version
+// 06/28/00 Improved speed
+// 06/31/00 Changed register allocation because of some duplicate macros
 //          moved nan exit bundle up to gain a cycle.
-// 8/15/00  Bundle added after call to __libm_error_support to properly
+// 08/15/00 Bundle added after call to __libm_error_support to properly
 //          set [the previously overwritten] GR_Parameter_RESULT.
-// 8/17/00  Changed predicate register macro-usage to direct predicate
+// 08/17/00 Changed predicate register macro-usage to direct predicate
 //          names due to an assembler bug.
 // 10/17/00 Improved speed of x=0 and x=1 paths, set D flag if x denormal.
+// 03/13/01 Corrected sign of imm1 value in dep instruction.
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 02/06/03 Reordered header: .section, .global, .proc, .align
+// 04/17/03 Moved mutex after label
 
 
 // Description
@@ -115,7 +119,6 @@
 //  answer2 = sign(x) z P(t)       if x>0
 //          = sign(x) z P(t) + pi  if x<0
 
-#include "libm_support.h"
 
 //
 // Assembly macros
@@ -222,42 +225,30 @@ acosf_poly_p1a                   = f90
 // Data tables
 //==============================================================
 
-#ifdef _LIBC
-.rodata
-#else
-.data
-#endif
+RODATA
 
 .align 16
 
-acosf_coeff_1_table:
-ASM_TYPE_DIRECTIVE(acosf_coeff_1_table,@object)
+LOCAL_OBJECT_START(acosf_coeff_1_table)
 data8 0x3FC5555607DCF816 // P1
 data8 0x3F9CF81AD9BAB2C6 // P4
 data8 0x3FC59E0975074DF3 // P7
 data8 0xBFA6F4CC2780AA1D // P6
 data8 0x3FC2DD45292E93CB // P9
 data8 0x3fe6a09e667f3bcd // sqrt(2)/2
-ASM_SIZE_DIRECTIVE(acosf_coeff_1_table)
+LOCAL_OBJECT_END(acosf_coeff_1_table)
 
-acosf_coeff_2_table:
-ASM_TYPE_DIRECTIVE(acosf_coeff_2_table,@object)
+LOCAL_OBJECT_START(acosf_coeff_2_table)
 data8 0x3FA6F108E31EFBA6 // P3
 data8 0xBFCA31BF175D82A0 // P8
 data8 0x3FA30C0337F6418B // P5
 data8 0x3FB332C9266CB1F9 // P2
 data8 0x3ff921fb54442d18 // pi_by_2
-ASM_SIZE_DIRECTIVE(acosf_coeff_2_table)
+LOCAL_OBJECT_END(acosf_coeff_2_table)
 
-.align 32
-.global acosf
-ASM_TYPE_DIRECTIVE(acosf,@function)
 
 .section .text
-.proc  acosf
-.align 32
-
-acosf:
+GLOBAL_LIBM_ENTRY(acosf)
  
 // Load the addresses of the two tables.
 // Then, load the coefficients and other constants.
@@ -342,7 +333,7 @@ acosf:
 } 
 {     .mfb 
      nop.m                                               999
-(p8) fma.s f8                = f8,f1,f0
+(p8) fma.s.s0 f8                = f8,f1,f0
 (p8) br.ret.spnt   b0 ;;  // Exit if x=nan
 }
 
@@ -350,7 +341,7 @@ acosf:
 {     .mfb 
      nop.m                 999
      fcmp.eq.s1 p6,p0 = acosf_abs_x,f1
-(p10) br.cond.spnt  L(ACOSF_ZERO) ;;     // Branch if x=0
+(p10) br.cond.spnt  ACOSF_ZERO ;;     // Branch if x=0
 } 
  
 {     .mfi 
@@ -367,7 +358,7 @@ acosf:
 {     .mfb 
      nop.m                      999
      fma.s1    acosf_t4  =    acosf_t2,acosf_t2,f0
-(p6) br.cond.spnt  L(ACOSF_ABS_ONE) ;;     // Branch if |x|=1
+(p6) br.cond.spnt  ACOSF_ABS_ONE ;;     // Branch if |x|=1
 } 
 
 {     .mfi 
@@ -575,42 +566,40 @@ acosf:
 .pred.rel "mutex",p8,p7    //acosf_pred_GTsqrt2by2,acosf_pred_LEsqrt2by2
 {     .mfi 
       nop.m            999
-(p8)  fma.s     f8   =    acosf_z,acosf_Pt,acosf_sgn_x_piby2
+(p8)  fma.s.s0     f8   =    acosf_z,acosf_Pt,acosf_sgn_x_piby2
       nop.i            999
 } 
  
 {     .mfb 
       nop.m            999
-(p7)  fms.s     f8   =    acosf_const_piby2,f1,acosf_sinf1
+(p7)  fms.s.s0     f8   =    acosf_const_piby2,f1,acosf_sinf1
       br.ret.sptk b0 ;;
 } 
 
-L(ACOSF_ZERO):
+ACOSF_ZERO:
 // Here if x=0
 {     .mfb 
       nop.m                 999
-      fma.s    f8 =    acosf_const_piby2,f1,f0  // acosf(0)=pi/2
+      fma.s.s0    f8 =    acosf_const_piby2,f1,f0  // acosf(0)=pi/2
       br.ret.sptk b0 ;;
 } 
 
 
-L(ACOSF_ABS_ONE):
+ACOSF_ABS_ONE:
 .pred.rel "mutex",p11,p12
 // Here if |x|=1
 {     .mfi 
       nop.m                 999
-(p11) fma.s    f8 =    acosf_const_piby2,f1,acosf_const_piby2 // acosf(-1)=pi
+(p11) fma.s.s0    f8 =    acosf_const_piby2,f1,acosf_const_piby2 // acosf(-1)=pi
       nop.i                 999
 } 
 {     .mfb 
       nop.m                 999
-(p12) fma.s    f8 =    f1,f0,f0 // acosf(1)=0
+(p12) fma.s.s0    f8 =    f1,f0,f0 // acosf(1)=0
       br.ret.sptk b0 ;;
 } 
 
-.endp acosf
-ASM_SIZE_DIRECTIVE(acosf)
-
+GLOBAL_LIBM_END(acosf)
 
 // Stack operations when calling error support.
 //       (1)               (2)
@@ -642,8 +631,7 @@ ASM_SIZE_DIRECTIVE(acosf)
 //                              restore ar.pfs
 
 
-.proc __libm_error_region
-__libm_error_region:
+LOCAL_LIBM_ENTRY(__libm_error_region)
 .prologue
 { .mfi
         add   GR_Parameter_Y=-32,sp             // Parameter 2 value
@@ -699,8 +687,7 @@ __libm_error_region:
         br.ret.sptk     b0                     // Return
 };;
 
-.endp __libm_error_region
-ASM_SIZE_DIRECTIVE(__libm_error_region)
+LOCAL_LIBM_END(__libm_error_region)
 
 .type   __libm_error_support#,@function
 .global __libm_error_support#
diff --git a/sysdeps/ia64/fpu/e_acosh.S b/sysdeps/ia64/fpu/e_acosh.S
new file mode 100644
index 0000000000..675d5fe799
--- /dev/null
+++ b/sysdeps/ia64/fpu/e_acosh.S
@@ -0,0 +1,1200 @@
+.file "acosh.s"
+
+
+// Copyright (c) 2000 - 2003, Intel Corporation
+// All rights reserved.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
+//
+// Redistribution and use in source and binary forms, with or without
+// modification, are permitted provided that the following conditions are
+// met:
+//
+// * Redistributions of source code must retain the above copyright
+// notice, this list of conditions and the following disclaimer.
+//
+// * Redistributions in binary form must reproduce the above copyright
+// notice, this list of conditions and the following disclaimer in the
+// documentation and/or other materials provided with the distribution.
+//
+// * The name of Intel Corporation may not be used to endorse or promote
+// products derived from this software without specific prior written
+// permission.
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
+// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
+// OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+//
+// Intel Corporation is the author of this code, and requests that all
+// problem reports or change requests be submitted to it directly at
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
+//
+// ==============================================================
+// History
+// ==============================================================
+// 03/23/01 Initial version
+// 04/19/01 Improved speed of the paths #1,2,3,4,5
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 02/06/03 Reordered header: .section, .global, .proc, .align
+// 05/14/03 Improved performance, set denormal flag for unorms >= 1.0
+//
+// API
+// ==============================================================
+// double acosh(double)
+//
+// Overview of operation
+// ==============================================================
+//
+// There are 7 paths:
+// 1. x = 1.0
+//    Return acosh(x) = 0.0
+// 2. 1.0 < x < 1.000499725341796875(0x3FF0020C00000000)
+//    Return acosh(x) = sqrt(x-1) * Pol4(x), where Pol4(x) =
+//      (((x*C4 + C3)*(x-1) + C2)*(x-1) + C1)*(x-1) + C0
+
+// 3. 1.000499725341796875(0x3FF0020C00000000) <= x < 2^63
+//    Return acosh(x) = log(x + sqrt(x^2 -1.0))
+//    To compute x + sqrt(x^2 -1.0) modified Newton Raphson method is used
+//      (3 iterations)
+//    Algorithm description for log function see below.
+//
+// 4. 2^63 <= x < +INF
+//    Return acosh(x) = log(2*x)
+//    Algorithm description for log function see below.
+//
+// 5. x = +INF
+//    Return acosh(x) = +INF
+//
+// 6. x = [S,Q]NaN
+//    Return acosh(x) = QNaN
+//
+// 7. x < 1.0
+//    It's domain error. Error handler with tag = 136 is called
+//
+//==============================================================
+// Algorithm Description for log(x) function
+// Below we are using the fact that inequality x - 1.0 > 2^(-6) is always
+//   true for this acosh implementation
+//
+// Consider  x = 2^N 1.f1 f2 f3 f4...f63
+// Log(x) = log(frcpa(x) x/frcpa(x))
+//        = log(1/frcpa(x)) + log(frcpa(x) x)
+//        = -log(frcpa(x)) + log(frcpa(x) x)
+//
+// frcpa(x)       = 2^-N frcpa((1.f1 f2 ... f63)
+//
+// -log(frcpa(x)) = -log(C)
+//                = -log(2^-N) - log(frcpa(1.f1 f2 ... f63))
+//
+// -log(frcpa(x)) = -log(C)
+//                = +Nlog2 - log(frcpa(1.f1 f2 ... f63))
+//
+// -log(frcpa(x)) = -log(C)
+//                = +Nlog2 + log(frcpa(1.f1 f2 ... f63))
+//
+// Log(x) = log(1/frcpa(x)) + log(frcpa(x) x)
+//
+// Log(x) =  +Nlog2 + log(1./frcpa(1.f1 f2 ... f63)) + log(frcpa(x) x)
+// Log(x) =  +Nlog2 - log(/frcpa(1.f1 f2 ... f63))   + log(frcpa(x) x)
+// Log(x) =  +Nlog2 + T                              + log(frcpa(x) x)
+//
+// Log(x) =  +Nlog2 + T                     + log(C x)
+//
+// Cx = 1 + r
+//
+// Log(x) =  +Nlog2 + T  + log(1+r)
+// Log(x) =  +Nlog2 + T  + Series( r - r^2/2 + r^3/3 - r^4/4 ....)
+//
+// 1.f1 f2 ... f8 has 256 entries.
+// They are 1 + k/2^8, k = 0 ... 255
+// These 256 values are the table entries.
+//
+// Implementation
+//==============================================================
+// C = frcpa(x)
+// r = C * x - 1
+//
+// Form rseries = r + P1*r^2 + P2*r^3 + P3*r^4 + P4*r^5 + P5*r^6
+//
+// x = f * 2*n where f is 1.f_1f_2f_3....f_63
+// Nfloat = float(n)  where n is the true unbiased exponent
+// pre-index = f_1f_2....f_8
+// index = pre_index * 16
+// get the dxt table entry at index + offset = T
+//
+// result = (T + Nfloat * log(2)) + rseries
+//
+// The T table is calculated as follows
+// Form x_k = 1 + k/2^8 where k goes from 0... 255
+//      y_k = frcpa(x_k)
+//      log(1/y_k)  in quad and round to double-extended
+//
+
+// Registers used
+//==============================================================
+// Floating Point registers used:
+// f8, input
+// f9 -> f15,  f32 -> f65
+
+// General registers used:
+// r14 -> r27, r32 -> r39
+
+// Predicate registers used:
+// p6 -> p15
+
+// p6 to filter out case when x = [Q,S]NaN
+// p7,p8 to filter out case when x < 1.0
+// p10 to select path #1
+// p11 to filter out case when x = +INF
+// p12 used in the frcpa
+// p13 to select path #4
+// p14,p15 to select path #2
+
+// Assembly macros
+//==============================================================
+log_GR_exp_17_ones    = r14
+log_GR_signexp_f8     = r15
+log_table_address2    = r16
+log_GR_exp_16_ones    = r17
+log_GR_exp_f8         = r18
+log_GR_true_exp_f8    = r19
+log_GR_significand_f8 = r20
+log_GR_index          = r21
+log_GR_comp2          = r22
+acosh_GR_f8           = r23
+log_GR_comp           = r24
+acosh_GR_f8_sig       = r25
+log_table_address3    = r26
+NR_table_address      = r27
+
+GR_SAVE_B0            = r33
+GR_SAVE_GP            = r34
+GR_SAVE_PFS           = r35
+
+GR_Parameter_X        = r36
+GR_Parameter_Y        = r37
+GR_Parameter_RESULT   = r38
+acosh_GR_tag          = r39
+
+//==============================================================
+log_y            = f9
+NR1              = f10
+NR2              = f11
+log_y_rs         = f12
+log_y_rs_iter    = f13
+log_y_rs_iter1   = f14
+log_NORM_f8      = f15
+acosh_comp       = f32
+log_w            = f34
+log_P5           = f35
+log_P4           = f36
+log_P3           = f37
+log_P2           = f38
+log_P1           = f39
+log_C0           = f40
+log_C1           = f41
+log_C2           = f42
+log2             = f43
+acosh_w_rs       = f44
+log_C            = f45
+log_arg          = f46
+acosh_w_iter1    = f47
+acosh_w_iter2    = f48
+log_int_Nfloat   = f49
+log_r            = f50
+log_rsq          = f51
+log_rp_p4        = f52
+log_rp_p32       = f53
+log_rcube        = f54
+log_rp_p10       = f55
+log_rp_p2        = f56
+log_Nfloat       = f57
+log_T            = f58
+log_r2P_r        = f59
+log_T_plus_Nlog2 = f60
+acosh_w_sqrt     = f61
+acosh_w_1        = f62
+log_C3           = f63
+log_C4           = f64
+log_arg_early    = f65
+
+
+// Data tables
+//==============================================================
+
+RODATA
+.align 16
+
+LOCAL_OBJECT_START(log_table_1)
+data8 0x3FF0020C49BA5E35 // 1.0005
+data8 0xBFC5555DA7212371 // P5
+data8 0x3FC999A19EEF5826 // P4
+data8 0xBFCFFFFFFFFEF009 // P3
+data8 0x3FD555555554ECB2 // P2
+data8 0xBFE0000000000000 // P1 = -0.5
+//
+data8 0xb17217f7d1cf79ac, 0x00003ffe  // log2
+LOCAL_OBJECT_END(log_table_1)
+
+LOCAL_OBJECT_START(log_table_2)
+data8 0x3FE0000000000000 // 0.5
+data8 0x4008000000000000 // 3.0
+//
+data8 0xAFE8F9203939CCF8, 0x00003FF6 // C4 3FF6AFE8F9203939CCF8
+data8 0xAD46EB6AE752D809, 0x0000BFF8 // C3 BFF8AD46EB6AE752D809
+data8 0xD93923D7F53F3627, 0x00003FF9 // C2 3FF9D93923D7F53F3627
+data8 0xF15BEEEFF7D32D36, 0x0000BFFB // C1 BFFBF15BEEEFF7D32D36
+data8 0xB504F333F9DE6484, 0x00003FFF // C0 3FFFB504F333F9DE6484
+LOCAL_OBJECT_END(log_table_2)
+
+
+LOCAL_OBJECT_START(log_table_3)
+data8 0x80200aaeac44ef38 , 0x00003ff6 //   log(1/frcpa(1+  0/2^-8))
+//
+data8 0xc09090a2c35aa070 , 0x00003ff7 //   log(1/frcpa(1+  1/2^-8))
+data8 0xa0c94fcb41977c75 , 0x00003ff8 //   log(1/frcpa(1+  2/2^-8))
+data8 0xe18b9c263af83301 , 0x00003ff8 //   log(1/frcpa(1+  3/2^-8))
+data8 0x8d35c8d6399c30ea , 0x00003ff9 //   log(1/frcpa(1+  4/2^-8))
+data8 0xadd4d2ecd601cbb8 , 0x00003ff9 //   log(1/frcpa(1+  5/2^-8))
+//
+data8 0xce95403a192f9f01 , 0x00003ff9 //   log(1/frcpa(1+  6/2^-8))
+data8 0xeb59392cbcc01096 , 0x00003ff9 //   log(1/frcpa(1+  7/2^-8))
+data8 0x862c7d0cefd54c5d , 0x00003ffa //   log(1/frcpa(1+  8/2^-8))
+data8 0x94aa63c65e70d499 , 0x00003ffa //   log(1/frcpa(1+  9/2^-8))
+data8 0xa54a696d4b62b382 , 0x00003ffa //   log(1/frcpa(1+ 10/2^-8))
+//
+data8 0xb3e4a796a5dac208 , 0x00003ffa //   log(1/frcpa(1+ 11/2^-8))
+data8 0xc28c45b1878340a9 , 0x00003ffa //   log(1/frcpa(1+ 12/2^-8))
+data8 0xd35c55f39d7a6235 , 0x00003ffa //   log(1/frcpa(1+ 13/2^-8))
+data8 0xe220f037b954f1f5 , 0x00003ffa //   log(1/frcpa(1+ 14/2^-8))
+data8 0xf0f3389b036834f3 , 0x00003ffa //   log(1/frcpa(1+ 15/2^-8))
+//
+data8 0xffd3488d5c980465 , 0x00003ffa //   log(1/frcpa(1+ 16/2^-8))
+data8 0x87609ce2ed300490 , 0x00003ffb //   log(1/frcpa(1+ 17/2^-8))
+data8 0x8ede9321e8c85927 , 0x00003ffb //   log(1/frcpa(1+ 18/2^-8))
+data8 0x96639427f2f8e2f4 , 0x00003ffb //   log(1/frcpa(1+ 19/2^-8))
+data8 0x9defad3e8f73217b , 0x00003ffb //   log(1/frcpa(1+ 20/2^-8))
+//
+data8 0xa582ebd50097029c , 0x00003ffb //   log(1/frcpa(1+ 21/2^-8))
+data8 0xac06dbe75ab80fee , 0x00003ffb //   log(1/frcpa(1+ 22/2^-8))
+data8 0xb3a78449b2d3ccca , 0x00003ffb //   log(1/frcpa(1+ 23/2^-8))
+data8 0xbb4f79635ab46bb2 , 0x00003ffb //   log(1/frcpa(1+ 24/2^-8))
+data8 0xc2fec93a83523f3f , 0x00003ffb //   log(1/frcpa(1+ 25/2^-8))
+//
+data8 0xc99af2eaca4c4571 , 0x00003ffb //   log(1/frcpa(1+ 26/2^-8))
+data8 0xd1581106472fa653 , 0x00003ffb //   log(1/frcpa(1+ 27/2^-8))
+data8 0xd8002560d4355f2e , 0x00003ffb //   log(1/frcpa(1+ 28/2^-8))
+data8 0xdfcb43b4fe508632 , 0x00003ffb //   log(1/frcpa(1+ 29/2^-8))
+data8 0xe67f6dff709d4119 , 0x00003ffb //   log(1/frcpa(1+ 30/2^-8))
+//
+data8 0xed393b1c22351280 , 0x00003ffb //   log(1/frcpa(1+ 31/2^-8))
+data8 0xf5192bff087bcc35 , 0x00003ffb //   log(1/frcpa(1+ 32/2^-8))
+data8 0xfbdf4ff6dfef2fa3 , 0x00003ffb //   log(1/frcpa(1+ 33/2^-8))
+data8 0x81559a97f92f9cc7 , 0x00003ffc //   log(1/frcpa(1+ 34/2^-8))
+data8 0x84be72bce90266e8 , 0x00003ffc //   log(1/frcpa(1+ 35/2^-8))
+//
+data8 0x88bc74113f23def2 , 0x00003ffc //   log(1/frcpa(1+ 36/2^-8))
+data8 0x8c2ba3edf6799d11 , 0x00003ffc //   log(1/frcpa(1+ 37/2^-8))
+data8 0x8f9dc92f92ea08b1 , 0x00003ffc //   log(1/frcpa(1+ 38/2^-8))
+data8 0x9312e8f36efab5a7 , 0x00003ffc //   log(1/frcpa(1+ 39/2^-8))
+data8 0x968b08643409ceb6 , 0x00003ffc //   log(1/frcpa(1+ 40/2^-8))
+//
+data8 0x9a062cba08a1708c , 0x00003ffc //   log(1/frcpa(1+ 41/2^-8))
+data8 0x9d845b3abf95485c , 0x00003ffc //   log(1/frcpa(1+ 42/2^-8))
+data8 0xa06fd841bc001bb4 , 0x00003ffc //   log(1/frcpa(1+ 43/2^-8))
+data8 0xa3f3a74652fbe0db , 0x00003ffc //   log(1/frcpa(1+ 44/2^-8))
+data8 0xa77a8fb2336f20f5 , 0x00003ffc //   log(1/frcpa(1+ 45/2^-8))
+//
+data8 0xab0497015d28b0a0 , 0x00003ffc //   log(1/frcpa(1+ 46/2^-8))
+data8 0xae91c2be6ba6a615 , 0x00003ffc //   log(1/frcpa(1+ 47/2^-8))
+data8 0xb189d1b99aebb20b , 0x00003ffc //   log(1/frcpa(1+ 48/2^-8))
+data8 0xb51cced5de9c1b2c , 0x00003ffc //   log(1/frcpa(1+ 49/2^-8))
+data8 0xb819bee9e720d42f , 0x00003ffc //   log(1/frcpa(1+ 50/2^-8))
+//
+data8 0xbbb2a0947b093a5d , 0x00003ffc //   log(1/frcpa(1+ 51/2^-8))
+data8 0xbf4ec1505811684a , 0x00003ffc //   log(1/frcpa(1+ 52/2^-8))
+data8 0xc2535bacfa8975ff , 0x00003ffc //   log(1/frcpa(1+ 53/2^-8))
+data8 0xc55a3eafad187eb8 , 0x00003ffc //   log(1/frcpa(1+ 54/2^-8))
+data8 0xc8ff2484b2c0da74 , 0x00003ffc //   log(1/frcpa(1+ 55/2^-8))
+//
+data8 0xcc0b1a008d53ab76 , 0x00003ffc //   log(1/frcpa(1+ 56/2^-8))
+data8 0xcfb6203844b3209b , 0x00003ffc //   log(1/frcpa(1+ 57/2^-8))
+data8 0xd2c73949a47a19f5 , 0x00003ffc //   log(1/frcpa(1+ 58/2^-8))
+data8 0xd5daae18b49d6695 , 0x00003ffc //   log(1/frcpa(1+ 59/2^-8))
+data8 0xd8f08248cf7e8019 , 0x00003ffc //   log(1/frcpa(1+ 60/2^-8))
+//
+data8 0xdca7749f1b3e540e , 0x00003ffc //   log(1/frcpa(1+ 61/2^-8))
+data8 0xdfc28e033aaaf7c7 , 0x00003ffc //   log(1/frcpa(1+ 62/2^-8))
+data8 0xe2e012a5f91d2f55 , 0x00003ffc //   log(1/frcpa(1+ 63/2^-8))
+data8 0xe600064ed9e292a8 , 0x00003ffc //   log(1/frcpa(1+ 64/2^-8))
+data8 0xe9226cce42b39f60 , 0x00003ffc //   log(1/frcpa(1+ 65/2^-8))
+//
+data8 0xec4749fd97a28360 , 0x00003ffc //   log(1/frcpa(1+ 66/2^-8))
+data8 0xef6ea1bf57780495 , 0x00003ffc //   log(1/frcpa(1+ 67/2^-8))
+data8 0xf29877ff38809091 , 0x00003ffc //   log(1/frcpa(1+ 68/2^-8))
+data8 0xf5c4d0b245cb89be , 0x00003ffc //   log(1/frcpa(1+ 69/2^-8))
+data8 0xf8f3afd6fcdef3aa , 0x00003ffc //   log(1/frcpa(1+ 70/2^-8))
+//
+data8 0xfc2519756be1abc7 , 0x00003ffc //   log(1/frcpa(1+ 71/2^-8))
+data8 0xff59119f503e6832 , 0x00003ffc //   log(1/frcpa(1+ 72/2^-8))
+data8 0x8147ce381ae0e146 , 0x00003ffd //   log(1/frcpa(1+ 73/2^-8))
+data8 0x82e45f06cb1ad0f2 , 0x00003ffd //   log(1/frcpa(1+ 74/2^-8))
+data8 0x842f5c7c573cbaa2 , 0x00003ffd //   log(1/frcpa(1+ 75/2^-8))
+//
+data8 0x85ce471968c8893a , 0x00003ffd //   log(1/frcpa(1+ 76/2^-8))
+data8 0x876e8305bc04066d , 0x00003ffd //   log(1/frcpa(1+ 77/2^-8))
+data8 0x891012678031fbb3 , 0x00003ffd //   log(1/frcpa(1+ 78/2^-8))
+data8 0x8a5f1493d766a05f , 0x00003ffd //   log(1/frcpa(1+ 79/2^-8))
+data8 0x8c030c778c56fa00 , 0x00003ffd //   log(1/frcpa(1+ 80/2^-8))
+//
+data8 0x8da85df17e31d9ae , 0x00003ffd //   log(1/frcpa(1+ 81/2^-8))
+data8 0x8efa663e7921687e , 0x00003ffd //   log(1/frcpa(1+ 82/2^-8))
+data8 0x90a22b6875c6a1f8 , 0x00003ffd //   log(1/frcpa(1+ 83/2^-8))
+data8 0x91f62cc8f5d24837 , 0x00003ffd //   log(1/frcpa(1+ 84/2^-8))
+data8 0x93a06cfc3857d980 , 0x00003ffd //   log(1/frcpa(1+ 85/2^-8))
+//
+data8 0x94f66d5e6fd01ced , 0x00003ffd //   log(1/frcpa(1+ 86/2^-8))
+data8 0x96a330156e6772f2 , 0x00003ffd //   log(1/frcpa(1+ 87/2^-8))
+data8 0x97fb3582754ea25b , 0x00003ffd //   log(1/frcpa(1+ 88/2^-8))
+data8 0x99aa8259aad1bbf2 , 0x00003ffd //   log(1/frcpa(1+ 89/2^-8))
+data8 0x9b0492f6227ae4a8 , 0x00003ffd //   log(1/frcpa(1+ 90/2^-8))
+//
+data8 0x9c5f8e199bf3a7a5 , 0x00003ffd //   log(1/frcpa(1+ 91/2^-8))
+data8 0x9e1293b9998c1daa , 0x00003ffd //   log(1/frcpa(1+ 92/2^-8))
+data8 0x9f6fa31e0b41f308 , 0x00003ffd //   log(1/frcpa(1+ 93/2^-8))
+data8 0xa0cda11eaf46390e , 0x00003ffd //   log(1/frcpa(1+ 94/2^-8))
+data8 0xa22c8f029cfa45aa , 0x00003ffd //   log(1/frcpa(1+ 95/2^-8))
+//
+data8 0xa3e48badb7856b34 , 0x00003ffd //   log(1/frcpa(1+ 96/2^-8))
+data8 0xa5459a0aa95849f9 , 0x00003ffd //   log(1/frcpa(1+ 97/2^-8))
+data8 0xa6a79c84480cfebd , 0x00003ffd //   log(1/frcpa(1+ 98/2^-8))
+data8 0xa80a946d0fcb3eb2 , 0x00003ffd //   log(1/frcpa(1+ 99/2^-8))
+data8 0xa96e831a3ea7b314 , 0x00003ffd //   log(1/frcpa(1+100/2^-8))
+//
+data8 0xaad369e3dc544e3b , 0x00003ffd //   log(1/frcpa(1+101/2^-8))
+data8 0xac92e9588952c815 , 0x00003ffd //   log(1/frcpa(1+102/2^-8))
+data8 0xadfa035aa1ed8fdc , 0x00003ffd //   log(1/frcpa(1+103/2^-8))
+data8 0xaf6219eae1ad6e34 , 0x00003ffd //   log(1/frcpa(1+104/2^-8))
+data8 0xb0cb2e6d8160f753 , 0x00003ffd //   log(1/frcpa(1+105/2^-8))
+//
+data8 0xb2354249ad950f72 , 0x00003ffd //   log(1/frcpa(1+106/2^-8))
+data8 0xb3a056e98ef4a3b4 , 0x00003ffd //   log(1/frcpa(1+107/2^-8))
+data8 0xb50c6dba52c6292a , 0x00003ffd //   log(1/frcpa(1+108/2^-8))
+data8 0xb679882c33876165 , 0x00003ffd //   log(1/frcpa(1+109/2^-8))
+data8 0xb78c07429785cedc , 0x00003ffd //   log(1/frcpa(1+110/2^-8))
+//
+data8 0xb8faeb8dc4a77d24 , 0x00003ffd //   log(1/frcpa(1+111/2^-8))
+data8 0xba6ad77eb36ae0d6 , 0x00003ffd //   log(1/frcpa(1+112/2^-8))
+data8 0xbbdbcc915e9bee50 , 0x00003ffd //   log(1/frcpa(1+113/2^-8))
+data8 0xbd4dcc44f8cf12ef , 0x00003ffd //   log(1/frcpa(1+114/2^-8))
+data8 0xbec0d81bf5b531fa , 0x00003ffd //   log(1/frcpa(1+115/2^-8))
+//
+data8 0xc034f19c139186f4 , 0x00003ffd //   log(1/frcpa(1+116/2^-8))
+data8 0xc14cb69f7c5e55ab , 0x00003ffd //   log(1/frcpa(1+117/2^-8))
+data8 0xc2c2abbb6e5fd56f , 0x00003ffd //   log(1/frcpa(1+118/2^-8))
+data8 0xc439b2c193e6771e , 0x00003ffd //   log(1/frcpa(1+119/2^-8))
+data8 0xc553acb9d5c67733 , 0x00003ffd //   log(1/frcpa(1+120/2^-8))
+//
+data8 0xc6cc96e441272441 , 0x00003ffd //   log(1/frcpa(1+121/2^-8))
+data8 0xc8469753eca88c30 , 0x00003ffd //   log(1/frcpa(1+122/2^-8))
+data8 0xc962cf3ce072b05c , 0x00003ffd //   log(1/frcpa(1+123/2^-8))
+data8 0xcadeba8771f694aa , 0x00003ffd //   log(1/frcpa(1+124/2^-8))
+data8 0xcc5bc08d1f72da94 , 0x00003ffd //   log(1/frcpa(1+125/2^-8))
+//
+data8 0xcd7a3f99ea035c29 , 0x00003ffd //   log(1/frcpa(1+126/2^-8))
+data8 0xcef93860c8a53c35 , 0x00003ffd //   log(1/frcpa(1+127/2^-8))
+data8 0xd0192f68a7ed23df , 0x00003ffd //   log(1/frcpa(1+128/2^-8))
+data8 0xd19a201127d3c645 , 0x00003ffd //   log(1/frcpa(1+129/2^-8))
+data8 0xd2bb92f4061c172c , 0x00003ffd //   log(1/frcpa(1+130/2^-8))
+//
+data8 0xd43e80b2ee8cc8fc , 0x00003ffd //   log(1/frcpa(1+131/2^-8))
+data8 0xd56173601fc4ade4 , 0x00003ffd //   log(1/frcpa(1+132/2^-8))
+data8 0xd6e6637efb54086f , 0x00003ffd //   log(1/frcpa(1+133/2^-8))
+data8 0xd80ad9f58f3c8193 , 0x00003ffd //   log(1/frcpa(1+134/2^-8))
+data8 0xd991d1d31aca41f8 , 0x00003ffd //   log(1/frcpa(1+135/2^-8))
+//
+data8 0xdab7d02231484a93 , 0x00003ffd //   log(1/frcpa(1+136/2^-8))
+data8 0xdc40d532cde49a54 , 0x00003ffd //   log(1/frcpa(1+137/2^-8))
+data8 0xdd685f79ed8b265e , 0x00003ffd //   log(1/frcpa(1+138/2^-8))
+data8 0xde9094bbc0e17b1d , 0x00003ffd //   log(1/frcpa(1+139/2^-8))
+data8 0xe01c91b78440c425 , 0x00003ffd //   log(1/frcpa(1+140/2^-8))
+//
+data8 0xe14658f26997e729 , 0x00003ffd //   log(1/frcpa(1+141/2^-8))
+data8 0xe270cdc2391e0d23 , 0x00003ffd //   log(1/frcpa(1+142/2^-8))
+data8 0xe3ffce3a2aa64922 , 0x00003ffd //   log(1/frcpa(1+143/2^-8))
+data8 0xe52bdb274ed82887 , 0x00003ffd //   log(1/frcpa(1+144/2^-8))
+data8 0xe6589852e75d7df6 , 0x00003ffd //   log(1/frcpa(1+145/2^-8))
+//
+data8 0xe786068c79937a7d , 0x00003ffd //   log(1/frcpa(1+146/2^-8))
+data8 0xe91903adad100911 , 0x00003ffd //   log(1/frcpa(1+147/2^-8))
+data8 0xea481236f7d35bb0 , 0x00003ffd //   log(1/frcpa(1+148/2^-8))
+data8 0xeb77d48c692e6b14 , 0x00003ffd //   log(1/frcpa(1+149/2^-8))
+data8 0xeca84b83d7297b87 , 0x00003ffd //   log(1/frcpa(1+150/2^-8))
+//
+data8 0xedd977f4962aa158 , 0x00003ffd //   log(1/frcpa(1+151/2^-8))
+data8 0xef7179a22f257754 , 0x00003ffd //   log(1/frcpa(1+152/2^-8))
+data8 0xf0a450d139366ca7 , 0x00003ffd //   log(1/frcpa(1+153/2^-8))
+data8 0xf1d7e0524ff9ffdb , 0x00003ffd //   log(1/frcpa(1+154/2^-8))
+data8 0xf30c29036a8b6cae , 0x00003ffd //   log(1/frcpa(1+155/2^-8))
+//
+data8 0xf4412bc411ea8d92 , 0x00003ffd //   log(1/frcpa(1+156/2^-8))
+data8 0xf576e97564c8619d , 0x00003ffd //   log(1/frcpa(1+157/2^-8))
+data8 0xf6ad62fa1b5f172f , 0x00003ffd //   log(1/frcpa(1+158/2^-8))
+data8 0xf7e499368b55c542 , 0x00003ffd //   log(1/frcpa(1+159/2^-8))
+data8 0xf91c8d10abaffe22 , 0x00003ffd //   log(1/frcpa(1+160/2^-8))
+//
+data8 0xfa553f7018c966f3 , 0x00003ffd //   log(1/frcpa(1+161/2^-8))
+data8 0xfb8eb13e185d802c , 0x00003ffd //   log(1/frcpa(1+162/2^-8))
+data8 0xfcc8e3659d9bcbed , 0x00003ffd //   log(1/frcpa(1+163/2^-8))
+data8 0xfe03d6d34d487fd2 , 0x00003ffd //   log(1/frcpa(1+164/2^-8))
+data8 0xff3f8c7581e9f0ae , 0x00003ffd //   log(1/frcpa(1+165/2^-8))
+//
+data8 0x803e029e280173ae , 0x00003ffe //   log(1/frcpa(1+166/2^-8))
+data8 0x80dca10cc52d0757 , 0x00003ffe //   log(1/frcpa(1+167/2^-8))
+data8 0x817ba200632755a1 , 0x00003ffe //   log(1/frcpa(1+168/2^-8))
+data8 0x821b05f3b01d6774 , 0x00003ffe //   log(1/frcpa(1+169/2^-8))
+data8 0x82bacd623ff19d06 , 0x00003ffe //   log(1/frcpa(1+170/2^-8))
+//
+data8 0x835af8c88e7a8f47 , 0x00003ffe //   log(1/frcpa(1+171/2^-8))
+data8 0x83c5f8299e2b4091 , 0x00003ffe //   log(1/frcpa(1+172/2^-8))
+data8 0x8466cb43f3d87300 , 0x00003ffe //   log(1/frcpa(1+173/2^-8))
+data8 0x850803a67c80ca4b , 0x00003ffe //   log(1/frcpa(1+174/2^-8))
+data8 0x85a9a1d11a23b461 , 0x00003ffe //   log(1/frcpa(1+175/2^-8))
+//
+data8 0x864ba644a18e6e05 , 0x00003ffe //   log(1/frcpa(1+176/2^-8))
+data8 0x86ee1182dcc432f7 , 0x00003ffe //   log(1/frcpa(1+177/2^-8))
+data8 0x875a925d7e48c316 , 0x00003ffe //   log(1/frcpa(1+178/2^-8))
+data8 0x87fdaa109d23aef7 , 0x00003ffe //   log(1/frcpa(1+179/2^-8))
+data8 0x88a129ed4becfaf2 , 0x00003ffe //   log(1/frcpa(1+180/2^-8))
+//
+data8 0x89451278ecd7f9cf , 0x00003ffe //   log(1/frcpa(1+181/2^-8))
+data8 0x89b29295f8432617 , 0x00003ffe //   log(1/frcpa(1+182/2^-8))
+data8 0x8a572ac5a5496882 , 0x00003ffe //   log(1/frcpa(1+183/2^-8))
+data8 0x8afc2d0ce3b2dadf , 0x00003ffe //   log(1/frcpa(1+184/2^-8))
+data8 0x8b6a69c608cfd3af , 0x00003ffe //   log(1/frcpa(1+185/2^-8))
+//
+data8 0x8c101e106e899a83 , 0x00003ffe //   log(1/frcpa(1+186/2^-8))
+data8 0x8cb63de258f9d626 , 0x00003ffe //   log(1/frcpa(1+187/2^-8))
+data8 0x8d2539c5bd19e2b1 , 0x00003ffe //   log(1/frcpa(1+188/2^-8))
+data8 0x8dcc0e064b29e6f1 , 0x00003ffe //   log(1/frcpa(1+189/2^-8))
+data8 0x8e734f45d88357ae , 0x00003ffe //   log(1/frcpa(1+190/2^-8))
+//
+data8 0x8ee30cef034a20db , 0x00003ffe //   log(1/frcpa(1+191/2^-8))
+data8 0x8f8b0515686d1d06 , 0x00003ffe //   log(1/frcpa(1+192/2^-8))
+data8 0x90336bba039bf32f , 0x00003ffe //   log(1/frcpa(1+193/2^-8))
+data8 0x90a3edd23d1c9d58 , 0x00003ffe //   log(1/frcpa(1+194/2^-8))
+data8 0x914d0de2f5d61b32 , 0x00003ffe //   log(1/frcpa(1+195/2^-8))
+//
+data8 0x91be0c20d28173b5 , 0x00003ffe //   log(1/frcpa(1+196/2^-8))
+data8 0x9267e737c06cd34a , 0x00003ffe //   log(1/frcpa(1+197/2^-8))
+data8 0x92d962ae6abb1237 , 0x00003ffe //   log(1/frcpa(1+198/2^-8))
+data8 0x9383fa6afbe2074c , 0x00003ffe //   log(1/frcpa(1+199/2^-8))
+data8 0x942f0421651c1c4e , 0x00003ffe //   log(1/frcpa(1+200/2^-8))
+//
+data8 0x94a14a3845bb985e , 0x00003ffe //   log(1/frcpa(1+201/2^-8))
+data8 0x954d133857f861e7 , 0x00003ffe //   log(1/frcpa(1+202/2^-8))
+data8 0x95bfd96468e604c4 , 0x00003ffe //   log(1/frcpa(1+203/2^-8))
+data8 0x9632d31cafafa858 , 0x00003ffe //   log(1/frcpa(1+204/2^-8))
+data8 0x96dfaabd86fa1647 , 0x00003ffe //   log(1/frcpa(1+205/2^-8))
+//
+data8 0x9753261fcbb2a594 , 0x00003ffe //   log(1/frcpa(1+206/2^-8))
+data8 0x9800c11b426b996d , 0x00003ffe //   log(1/frcpa(1+207/2^-8))
+data8 0x9874bf4d45ae663c , 0x00003ffe //   log(1/frcpa(1+208/2^-8))
+data8 0x99231f5ee9a74f79 , 0x00003ffe //   log(1/frcpa(1+209/2^-8))
+data8 0x9997a18a56bcad28 , 0x00003ffe //   log(1/frcpa(1+210/2^-8))
+//
+data8 0x9a46c873a3267e79 , 0x00003ffe //   log(1/frcpa(1+211/2^-8))
+data8 0x9abbcfc621eb6cb6 , 0x00003ffe //   log(1/frcpa(1+212/2^-8))
+data8 0x9b310cb0d354c990 , 0x00003ffe //   log(1/frcpa(1+213/2^-8))
+data8 0x9be14cf9e1b3515c , 0x00003ffe //   log(1/frcpa(1+214/2^-8))
+data8 0x9c5710b8cbb73a43 , 0x00003ffe //   log(1/frcpa(1+215/2^-8))
+//
+data8 0x9ccd0abd301f399c , 0x00003ffe //   log(1/frcpa(1+216/2^-8))
+data8 0x9d7e67f3bdce8888 , 0x00003ffe //   log(1/frcpa(1+217/2^-8))
+data8 0x9df4ea81a99daa01 , 0x00003ffe //   log(1/frcpa(1+218/2^-8))
+data8 0x9e6ba405a54514ba , 0x00003ffe //   log(1/frcpa(1+219/2^-8))
+data8 0x9f1e21c8c7bb62b3 , 0x00003ffe //   log(1/frcpa(1+220/2^-8))
+//
+data8 0x9f956593f6b6355c , 0x00003ffe //   log(1/frcpa(1+221/2^-8))
+data8 0xa00ce1092e5498c3 , 0x00003ffe //   log(1/frcpa(1+222/2^-8))
+data8 0xa0c08309c4b912c1 , 0x00003ffe //   log(1/frcpa(1+223/2^-8))
+data8 0xa1388a8c6faa2afa , 0x00003ffe //   log(1/frcpa(1+224/2^-8))
+data8 0xa1b0ca7095b5f985 , 0x00003ffe //   log(1/frcpa(1+225/2^-8))
+//
+data8 0xa22942eb47534a00 , 0x00003ffe //   log(1/frcpa(1+226/2^-8))
+data8 0xa2de62326449d0a3 , 0x00003ffe //   log(1/frcpa(1+227/2^-8))
+data8 0xa357690f88bfe345 , 0x00003ffe //   log(1/frcpa(1+228/2^-8))
+data8 0xa3d0a93f45169a4b , 0x00003ffe //   log(1/frcpa(1+229/2^-8))
+data8 0xa44a22f7ffe65f30 , 0x00003ffe //   log(1/frcpa(1+230/2^-8))
+//
+data8 0xa500c5e5b4c1aa36 , 0x00003ffe //   log(1/frcpa(1+231/2^-8))
+data8 0xa57ad064eb2ebbc2 , 0x00003ffe //   log(1/frcpa(1+232/2^-8))
+data8 0xa5f5152dedf4384e , 0x00003ffe //   log(1/frcpa(1+233/2^-8))
+data8 0xa66f9478856233ec , 0x00003ffe //   log(1/frcpa(1+234/2^-8))
+data8 0xa6ea4e7cca02c32e , 0x00003ffe //   log(1/frcpa(1+235/2^-8))
+//
+data8 0xa765437325341ccf , 0x00003ffe //   log(1/frcpa(1+236/2^-8))
+data8 0xa81e21e6c75b4020 , 0x00003ffe //   log(1/frcpa(1+237/2^-8))
+data8 0xa899ab333fe2b9ca , 0x00003ffe //   log(1/frcpa(1+238/2^-8))
+data8 0xa9157039c51ebe71 , 0x00003ffe //   log(1/frcpa(1+239/2^-8))
+data8 0xa991713433c2b999 , 0x00003ffe //   log(1/frcpa(1+240/2^-8))
+//
+data8 0xaa0dae5cbcc048b3 , 0x00003ffe //   log(1/frcpa(1+241/2^-8))
+data8 0xaa8a27ede5eb13ad , 0x00003ffe //   log(1/frcpa(1+242/2^-8))
+data8 0xab06de228a9e3499 , 0x00003ffe //   log(1/frcpa(1+243/2^-8))
+data8 0xab83d135dc633301 , 0x00003ffe //   log(1/frcpa(1+244/2^-8))
+data8 0xac3fb076adc7fe7a , 0x00003ffe //   log(1/frcpa(1+245/2^-8))
+//
+data8 0xacbd3cbbe47988f1 , 0x00003ffe //   log(1/frcpa(1+246/2^-8))
+data8 0xad3b06b1a5dc57c3 , 0x00003ffe //   log(1/frcpa(1+247/2^-8))
+data8 0xadb90e94af887717 , 0x00003ffe //   log(1/frcpa(1+248/2^-8))
+data8 0xae3754a218f7c816 , 0x00003ffe //   log(1/frcpa(1+249/2^-8))
+data8 0xaeb5d9175437afa2 , 0x00003ffe //   log(1/frcpa(1+250/2^-8))
+//
+data8 0xaf349c322e9c7cee , 0x00003ffe //   log(1/frcpa(1+251/2^-8))
+data8 0xafb39e30d1768d1c , 0x00003ffe //   log(1/frcpa(1+252/2^-8))
+data8 0xb032df51c2c93116 , 0x00003ffe //   log(1/frcpa(1+253/2^-8))
+data8 0xb0b25fd3e6035ad9 , 0x00003ffe //   log(1/frcpa(1+254/2^-8))
+data8 0xb1321ff67cba178c , 0x00003ffe //   log(1/frcpa(1+255/2^-8))
+LOCAL_OBJECT_END(log_table_3)
+
+
+.section .text
+GLOBAL_LIBM_ENTRY(acosh)
+
+{ .mfi
+      getf.exp   acosh_GR_f8 = f8
+      fclass.m   p6,p0 = f8, 0xc3                    // Test for x = NaN
+      mov        log_GR_comp2 = 0x1003e
+}
+{ .mfi
+      addl       NR_table_address = @ltoff(log_table_1), gp
+      fms.s1     log_y = f8, f8, f1                  // y = x^2-1
+      nop.i      0
+}
+;;
+
+{ .mfi
+      getf.sig   acosh_GR_f8_sig = f8
+      fclass.m   p11,p0 = f8, 0x21                   // Test for x=+inf
+      mov        log_GR_exp_17_ones = 0x1ffff
+}
+{ .mfi
+      ld8        NR_table_address = [NR_table_address]
+      fms.s1     log_w = f8,f1,f1                    // w = x - 1
+      nop.i      0
+}
+;;
+
+{ .mfi
+      nop.m      0
+      fcmp.lt.s1 p7,p8 = f8, f1            // Test for x<1.0
+      addl       log_GR_comp = 0x10020C,r0 // Upper 21 bits of signif of 1.0005
+}
+{ .mfb
+      mov        log_GR_exp_16_ones = 0xffff         //BIAS
+(p6)  fma.d.s0   f8 = f8,f1,f0      // quietize nan result if x=nan
+(p6)  br.ret.spnt b0                // Exit for x=nan
+}
+;;
+
+{ .mfb
+      //get second table address
+      adds       log_table_address2 = 0x40, NR_table_address
+      fcmp.eq.s1 p10,p0 = f8, f1      // Test for x=+1.0
+(p11) br.ret.spnt b0                  // Exit for x=+inf
+}
+;;
+
+{ .mfi
+      ldfpd      NR1,NR2 = [log_table_address2],16
+      frsqrta.s1 log_y_rs,p0 = log_y  // z=1/sqrt(y)
+      nop.i      0
+}
+{ .mfb
+      nop.m      0
+      fma.s1     log_arg = f8,f1,f8
+(p7)  br.cond.spnt ACOSH_LESS_ONE     // Branch if path 7, x < 1.0
+}
+;;
+
+{ .mfi
+      ldfe       log_C4 = [log_table_address2],16
+(p8)  fcmp.eq.s0 p6,p0 = f8, f0       // Dummy op sets denorm flag if unorm>=1.0
+      nop.i      0
+}
+{ .mfb
+(p8)  cmp.le.unc p13,p0 = log_GR_comp2,acosh_GR_f8
+      nop.f      0
+(p13) br.cond.spnt LOG_COMMON1        // Branch if path 4, x >= 2^63
+}
+;;
+
+{ .mfi
+      ldfe       log_C3 = [log_table_address2],16
+(p10) fmerge.s   f8 = f0, f0          // Return 0 if x=1.0
+      shr.u      acosh_GR_f8_sig = acosh_GR_f8_sig,43
+}
+{ .mib
+      cmp.eq     p14,p0 = log_GR_exp_16_ones,acosh_GR_f8
+      nop.i      0
+(p10) br.ret.spnt b0                  // Exit for x=1.0
+}
+;;
+
+{ .mfi
+      ldfe       log_C2 = [log_table_address2],16
+      frsqrta.s1 acosh_w_rs,p0 = log_w // t=1/sqrt(w)
+      nop.i      0
+}
+{ .mfb
+(p14) cmp.lt.unc p15,p0 = acosh_GR_f8_sig,log_GR_comp
+      nop.f      0
+(p15) br.cond.spnt ACOSH_NEAR_ONE     // Branch if path 2, 1.0 < x < 1.0005
+}
+;;
+
+// Here is main path, 1.0005 <= x < 2^63
+/////////////// The first iteration //////////////////////////////////
+{ .mfi
+      ldfpd      acosh_comp,log_P5 = [NR_table_address],16
+      fma.s1     log_y_rs_iter = log_y_rs,log_y,f0              // y*z
+      nop.i      0
+}
+;;
+
+{ .mfi
+      ldfpd      log_P4,log_P3 = [NR_table_address],16
+      fnma.s1    log_y_rs_iter = log_y_rs_iter,log_y_rs,NR2     // 3-(y*z)*z
+      nop.i      0
+}
+{ .mfi
+      nop.m      0
+      fma.s1     log_y_rs_iter1 = log_y_rs,NR1,f0               // 0.5*z
+      nop.i      0
+}
+;;
+
+{ .mfi
+      ldfpd      log_P2,log_P1 = [NR_table_address],16
+      //(0.5*z)*(3-(y*z)*z)
+      fma.s1     log_y_rs_iter = log_y_rs_iter1,log_y_rs_iter,f0
+      nop.i      0
+}
+;;
+
+/////////////////////////// The second iteration /////////////////////////////
+{ .mfi
+      nop.m      0
+      fma.s1     log_y_rs = log_y_rs_iter,log_y,f0
+      nop.i      0
+}
+;;
+
+{ .mfi
+      nop.m      0
+      fnma.s1    log_y_rs = log_y_rs,log_y_rs_iter,NR2
+      nop.i      0
+}
+{ .mfi
+      nop.m      0
+      fma.s1     log_y_rs_iter1 = log_y_rs_iter,NR1,f0
+      nop.i      0
+}
+;;
+
+{ .mfi
+      nop.m      0
+      //(0.5*z)*(3-(y*z)*z)
+      fma.s1     log_y_rs_iter = log_y_rs_iter1,log_y_rs,f0
+      nop.i      0
+}
+{ .mfi
+      nop.m      0
+      //(0.5*z)*(3-(y*z)*z)
+      fma.s1     log_arg_early = log_y_rs_iter1,log_y_rs,f0
+      nop.i      0
+}
+;;
+
+//////////////////////////////////////// The third iteration /////////////////
+{ .mfi
+      nop.m      0
+      fma.s1     log_y_rs = log_y_rs_iter,log_y,f0
+      nop.i      0
+}
+{ .mfi
+      nop.m      0
+      fma.s1     log_y_rs_iter1 = log_y_rs_iter,NR1,f0
+      nop.i      0
+}
+;;
+
+{ .mfi
+      nop.m      0
+      fma.s1     log_arg_early = log_arg_early,log_y,f8
+      nop.i      0
+}
+;;
+
+{ .mfi
+      nop.m      0
+      fnma.s1    log_y_rs = log_y_rs,log_y_rs_iter,NR2
+      nop.i      0
+}
+{ .mfi
+      nop.m      0
+      fma.s1     log_y_rs_iter1 = log_y_rs_iter1,log_y,f0
+      nop.i      0
+}
+;;
+
+{ .mfi
+      nop.m      0
+      frcpa.s1   log_C,p0 = f1,log_arg_early
+      nop.i      0
+}
+;;
+
+{ .mfi
+      getf.exp   log_GR_signexp_f8 = log_arg_early
+      nop.f      0
+      nop.i      0
+}
+;;
+
+{ .mfi
+      getf.sig   log_GR_significand_f8 = log_arg_early
+      fma.s1     log_arg = log_y_rs_iter1,log_y_rs,f8 // (0.5*z)*(3-(y*z)*z)
+      adds       log_table_address3 = 0x70, NR_table_address
+}
+;;
+
+///////////////////////////////// The end NR iterations /////////////////////
+{ .mfi
+      ldfe       log2 = [NR_table_address],16
+      nop.f      0
+      nop.i      0
+}
+;;
+
+{ .mmi
+      //significant bit destruction
+      and        log_GR_exp_f8 = log_GR_signexp_f8, log_GR_exp_17_ones
+;;
+      //BIAS subtraction
+      sub        log_GR_true_exp_f8 = log_GR_exp_f8, log_GR_exp_16_ones
+      nop.i      0
+}
+;;
+
+{ .mfi
+      setf.sig   log_int_Nfloat = log_GR_true_exp_f8
+      fms.s1     log_r = log_C,log_arg,f1  // C = frcpa(x); r = C * x - 1
+      extr.u     log_GR_index = log_GR_significand_f8,55,8 //Extract 8 bits
+}
+;;
+
+{ .mmi
+      //pre-index*16 + index
+      shladd     log_table_address3 = log_GR_index,4,log_table_address3
+;;
+      ldfe       log_T = [log_table_address3]
+      nop.i      0
+}
+;;
+
+{ .mfi
+      nop.m      0
+      fma.s1     log_rsq = log_r, log_r, f0         //r^2
+      nop.i      0
+}
+{ .mfi
+      nop.m      0
+      fma.s1     log_rp_p4 = log_P5, log_r, log_P4  //P5*r + P4
+      nop.i      0
+}
+;;
+
+{ .mfi
+      nop.m      0
+      fma.s1     log_rp_p32 = log_P3, log_r, log_P2 //P3*r + P2
+      nop.i      0
+}
+;;
+
+{ .mfi
+      nop.m      0
+      //convert N to the floating-point format log_Nfloat
+      fcvt.xf    log_Nfloat = log_int_Nfloat
+      nop.i      0
+}
+;;
+
+{ .mfi
+      nop.m      0
+      fma.s1     log_rcube = log_rsq, log_r, f0      //r^3
+      nop.i      0
+}
+{ .mfi
+      nop.m      0
+      fma.s1     log_rp_p10 = log_rsq, log_P1, log_r //P1*r^2 + r
+      nop.i      0
+}
+;;
+
+{ .mfi
+      nop.m      0
+      //(P5*r + P4)*r^2 + P3*r + P2
+      fma.s1     log_rp_p2 = log_rp_p4, log_rsq, log_rp_p32
+      nop.i      0
+}
+;;
+
+{ .mfi
+      nop.m      0
+      fma.s1     log_T_plus_Nlog2 = log_Nfloat,log2,log_T    //N*log2 + T
+      nop.i      0
+}
+{ .mfi
+      nop.m      0
+      //((P5*r + P4)*r^2 + P3*r + P2)*r^3 + P1*r^2 + r
+      fma.s1     log_r2P_r = log_rp_p2, log_rcube, log_rp_p10
+      nop.i      0
+}
+;;
+
+{ .mfb
+      nop.m      0
+      // N*log2 + T + ((P5*r + P4)*r^2 + P3*r + P2)*w^3 + P1*r^2 + r
+      fadd.d.s0  f8 = log_T_plus_Nlog2, log_r2P_r
+      br.ret.sptk b0           // Exit main path, path 3: 1.0005 <= x < 2^63
+}
+;;
+
+// Here if path 2, 1.0 < x < 1.0005
+ACOSH_NEAR_ONE:
+// The first NR iteration
+{ .mfi
+      ldfe       log_C1 = [log_table_address2],16
+      fma.s1     acosh_w_iter1 = acosh_w_rs,log_w,f0  //t*w
+      nop.i      0
+}
+{ .mfi
+      nop.m      0
+      fma.s1     acosh_w_1 = f8,log_C4,log_C3         //x*C4 + C3
+      nop.i      0
+}
+;;
+
+{ .mfi
+      ldfe       log_C0 = [log_table_address2],16
+      fma.s1     acosh_w_iter2 = acosh_w_rs,NR1,f0    //t*0.5
+      nop.i      0
+}
+{ .mfi
+      nop.m      0
+      fnma.s1    acosh_w_iter1 = acosh_w_iter1,acosh_w_rs,NR2 //3-t*t*w
+      nop.i      0
+}
+;;
+
+{ .mfi
+      nop.m      0
+      //(3-t*t*w)*t*0.5
+      fma.s1     acosh_w_iter2 = acosh_w_iter2,acosh_w_iter1,f0
+      nop.i      0
+}
+{ .mfi
+      nop.m      0
+      fma.s1     acosh_w_1 = acosh_w_1,log_w,log_C2 //(x*C4 + C3)*(x-1) + C2
+      nop.i      0
+}
+;;
+
+// The second NR iteration
+{ .mfi
+      nop.m      0
+      fma.s1     acosh_w_rs = acosh_w_iter2,log_w,f0  //t*w
+      nop.i      0
+}
+{ .mfi
+      nop.m      0
+      //((x*C4 + C3)*(x-1) + C2)*(x-1) + C1
+      fma.s1     acosh_w_1 = acosh_w_1,log_w,log_C1
+      nop.i      0
+}
+;;
+
+{ .mfi
+      nop.m      0
+      fnma.s1    acosh_w_iter1 = acosh_w_iter2,acosh_w_rs,NR2
+      nop.i      0
+}
+{ .mfi
+      nop.m      0
+      fma.s1     acosh_w_iter2 = acosh_w_iter2,NR1,f0
+      nop.i      0
+}
+;;
+
+{ .mfi
+      nop.m      0
+      fma.s1     acosh_w_iter2 = acosh_w_iter2,acosh_w_iter1,f0
+      nop.i      0
+}
+{ .mfi
+      nop.m      0
+      //(((x*C4 + C3)*(x-1) + C2)*(x-1) + C1)*(x-1) + C0
+      fma.s1     acosh_w_1 = acosh_w_1,log_w,log_C0
+      nop.i      0
+}
+;;
+
+//The third NR iteration
+{ .mfi
+      nop.m      0
+      fma.s1     acosh_w_rs = acosh_w_iter2,log_w,f0  //t*w
+      nop.i      0
+}
+;;
+
+{ .mfi
+      nop.m      0
+      fnma.s1    acosh_w_iter1 = acosh_w_iter2,acosh_w_rs,NR2
+      nop.i      0
+}
+{ .mfi
+      nop.m      0
+      fma.s1     acosh_w_iter2 = acosh_w_iter2,NR1,f0
+      nop.i      0
+}
+;;
+
+{ .mfi
+      nop.m      0
+      fma.s1     acosh_w_iter2 = acosh_w_iter2,acosh_w_iter1,f0
+      nop.i      0
+}
+;;
+
+{ .mfi
+      nop.m      0
+      fma.s1     acosh_w_sqrt = acosh_w_iter2,log_w,f0
+      nop.i      0
+}
+;;
+
+{ .mfb
+      nop.m      0
+      fma.d.s0   f8 = acosh_w_1,acosh_w_sqrt,f0
+      br.ret.sptk b0               // Exit path 2, 1.0 < x < 1.0005
+}
+;;
+
+// Here if path 4, x >= 2^63
+LOG_COMMON1:
+{ .mfi
+      ldfpd      acosh_comp,log_P5 = [NR_table_address],16
+      frcpa.s1   log_C,p0 = f1,log_arg
+      nop.i      0
+}
+;;
+
+{ .mmi
+      getf.exp   log_GR_signexp_f8 = log_arg
+      ldfpd      log_P4,log_P3 = [NR_table_address],16
+      nop.i      0
+}
+;;
+
+{ .mmi
+      getf.sig   log_GR_significand_f8 = log_arg
+      ldfpd      log_P2,log_P1 = [NR_table_address],16
+      nop.i      0
+}
+;;
+
+{ .mfi
+      adds       log_table_address3 = 0x70, NR_table_address
+      nop.f      0
+      //significant bit destruction
+      and        log_GR_exp_f8 = log_GR_signexp_f8, log_GR_exp_17_ones
+}
+;;
+
+{ .mmf
+      ldfe       log2 = [NR_table_address],16
+      //BIAS subtraction
+      sub        log_GR_true_exp_f8 = log_GR_exp_f8, log_GR_exp_16_ones
+      fms.s1     log_r = log_C,log_arg,f1  // C = frcpa(x); r = C * x - 1
+}
+;;
+
+{ .mfi
+      setf.sig   log_int_Nfloat = log_GR_true_exp_f8
+      nop.f      0
+      extr.u     log_GR_index = log_GR_significand_f8,55,8 //Extract 8 bits
+}
+;;
+
+{ .mmi
+      //pre-index*16 + index
+      shladd     log_table_address3 = log_GR_index,4,log_table_address3
+;;
+      ldfe       log_T = [log_table_address3]
+      nop.i      0
+}
+;;
+
+{ .mfi
+      nop.m      0
+      fma.s1     log_rsq = log_r, log_r, f0         //r^2
+      nop.i      0
+}
+{ .mfi
+      nop.m      0
+      fma.s1     log_rp_p4 = log_P5, log_r, log_P4  //P5*r + P4
+      nop.i      0
+}
+;;
+
+{ .mfi
+      nop.m      0
+      fma.s1     log_rp_p32 = log_P3, log_r, log_P2 //P3*r + P2
+      nop.i      0
+}
+;;
+
+{ .mfi
+      nop.m      0
+      fma.s1     log_rcube = log_rsq, log_r, f0     //r^3
+      nop.i      0
+}
+{ .mfi
+      nop.m      0
+      fma.s1     log_rp_p10 = log_rsq, log_P1, log_r //P1*r^2 + r
+      nop.i      0
+}
+;;
+
+{ .mfi
+      nop.m      0
+      //convert N to the floating-point format log_Nfloat
+      fcvt.xf    log_Nfloat = log_int_Nfloat
+      nop.i      0
+}
+{ .mfi
+      nop.m      0
+      //(P5*r + P4)*r^2 + P3*r + P2
+      fma.s1     log_rp_p2 = log_rp_p4, log_rsq, log_rp_p32
+      nop.i      0
+}
+;;
+
+{ .mfi
+      nop.m      0
+      fma.s1     log_T_plus_Nlog2 = log_Nfloat,log2,log_T    //N*log2 + T
+      nop.i      0
+}
+{ .mfi
+      nop.m      0
+      //((P5*r + P4)*r^2 + P3*r + P2)*w^3 + P1*r^2 + r
+      fma.s1     log_r2P_r = log_rp_p2, log_rcube, log_rp_p10
+      nop.i      0
+}
+;;
+
+{ .mfb
+      nop.m      0
+      //  N*log2 + T + ((P5*r + P4)*r^2 + P3*r + P2)*w^3 + P1*r^2 + r
+      fadd.d.s0  f8 = log_T_plus_Nlog2, log_r2P_r
+      br.ret.sptk b0              // Exit path 4, x >= 2^63
+}
+;;
+
+// Here if path 7, x < 1.0
+ACOSH_LESS_ONE:
+{ .mfi
+      alloc      r32 = ar.pfs,1,3,4,0
+      fmerge.s   f10 = f8,f8
+      nop.i      0
+}
+;;
+
+{ .mfb
+      mov        acosh_GR_tag = 136
+      frcpa.s0   f8,p0 = f0,f0
+      br.cond.sptk __libm_error_region
+}
+;;
+
+GLOBAL_LIBM_END(acosh)
+
+LOCAL_LIBM_ENTRY(__libm_error_region)
+.prologue
+
+{ .mfi
+        add   GR_Parameter_Y=-32,sp             // Parameter 2 value
+        nop.f 0
+.save   ar.pfs,GR_SAVE_PFS
+        mov  GR_SAVE_PFS=ar.pfs                 // Save ar.pfs
+}
+{ .mfi
+.fframe 64
+        add sp=-64,sp                          // Create new stack
+        nop.f 0
+        mov GR_SAVE_GP=gp                      // Save gp
+};;
+
+{ .mmi
+        stfd [GR_Parameter_Y] = f1,16         // STORE Parameter 2 on stack
+        add GR_Parameter_X = 16,sp            // Parameter 1 address
+.save   b0, GR_SAVE_B0
+        mov GR_SAVE_B0=b0                     // Save b0
+};;
+
+.body
+{ .mib
+        stfd [GR_Parameter_X] = f10           // STORE Parameter 1 on stack
+        add   GR_Parameter_RESULT = 0,GR_Parameter_Y  // Parameter 3 address
+        nop.b 0
+}
+{ .mib
+        stfd [GR_Parameter_Y] = f8            // STORE Parameter 3 on stack
+        add   GR_Parameter_Y = -16,GR_Parameter_Y
+        br.call.sptk b0=__libm_error_support# // Call error handling function
+};;
+
+{ .mmi
+        add   GR_Parameter_RESULT = 48,sp
+        nop.m 0
+        nop.i 0
+};;
+
+{ .mmi
+        ldfd  f8 = [GR_Parameter_RESULT]       // Get return result off stack
+.restore sp
+        add   sp = 64,sp                       // Restore stack pointer
+        mov   b0 = GR_SAVE_B0                  // Restore return address
+};;
+
+{ .mib
+        mov   gp = GR_SAVE_GP                  // Restore gp
+        mov   ar.pfs = GR_SAVE_PFS             // Restore ar.pfs
+        br.ret.sptk     b0                     // Return
+};;
+
+LOCAL_LIBM_END(__libm_error_region)
+
+
+.type   __libm_error_support#,@function
+.global __libm_error_support#
diff --git a/sysdeps/ia64/fpu/e_acoshf.S b/sysdeps/ia64/fpu/e_acoshf.S
new file mode 100644
index 0000000000..4a54c264c1
--- /dev/null
+++ b/sysdeps/ia64/fpu/e_acoshf.S
@@ -0,0 +1,1029 @@
+.file "acoshf.s"
+
+
+// Copyright (c) 2000 - 2003, Intel Corporation
+// All rights reserved.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
+//
+// Redistribution and use in source and binary forms, with or without
+// modification, are permitted provided that the following conditions are
+// met:
+//
+// * Redistributions of source code must retain the above copyright
+// notice, this list of conditions and the following disclaimer.
+//
+// * Redistributions in binary form must reproduce the above copyright
+// notice, this list of conditions and the following disclaimer in the
+// documentation and/or other materials provided with the distribution.
+//
+// * The name of Intel Corporation may not be used to endorse or promote
+// products derived from this software without specific prior written
+// permission.
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
+// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
+// OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+//
+// Intel Corporation is the author of this code, and requests that all
+// problem reports or change requests be submitted to it directly at
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
+//
+// ==============================================================
+// History
+// ==============================================================
+// 03/28/01 Initial version
+// 04/19/01 Improved speed of the paths #1,2,3,4,5
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 02/06/03 Reordered header: .section, .global, .proc, .align
+// 05/14/03 Improved performance, set denormal flag for unorms >= 1.0
+//
+// API
+// ==============================================================
+// float acoshf(float)
+//
+// Overview of operation
+// ==============================================================
+//
+// There are 7 paths:
+// 1. x = 1.0
+//    Return acoshf(x) = 0.0
+// 2. 1.0 < x < 1.000499725341796875(0x3FF0020C00000000)
+//    Return acoshf(x) = sqrt(x-1) * Pol4(x),
+//    where Pol4(x) = (x*C2 + C1)*(x-1) + C0
+//
+// 3. 1.000499725341796875(0x3FF0020C00000000) <= x < 2^51
+//    Return acoshf(x) = log(x + sqrt(x^2 -1.0))
+//    To compute x + sqrt(x^2 -1.0) modified Newton Raphson method is used
+//      (2 iterations)
+//    Algorithm description for log function see below.
+//
+// 4. 2^51 <= x < +INF
+//    Return acoshf(x) = log(2*x)
+//    Algorithm description for log function see below.
+//
+// 5. x = +INF
+//    Return acoshf(x) = +INF
+//
+// 6. x = [S,Q]NaN
+//    Return acoshf(x) = QNaN
+//
+// 7. x < 1.0
+//    It's domain error. Error handler with tag = 137 is called
+//
+//==============================================================
+// Algorithm Description for log(x) function
+// Below we are using the fact that inequality x - 1.0 > 2^(-6) is always
+//   true for this acosh implementation
+//
+// Consider  x = 2^N 1.f1 f2 f3 f4...f63
+// Log(x) = log(frcpa(x) x/frcpa(x))
+//        = log(1/frcpa(x)) + log(frcpa(x) x)
+//        = -log(frcpa(x)) + log(frcpa(x) x)
+//
+// frcpa(x)       = 2^-N frcpa((1.f1 f2 ... f63)
+//
+// -log(frcpa(x)) = -log(C)
+//                = -log(2^-N) - log(frcpa(1.f1 f2 ... f63))
+//
+// -log(frcpa(x)) = -log(C)
+//                = +Nlog2 - log(frcpa(1.f1 f2 ... f63))
+//
+// -log(frcpa(x)) = -log(C)
+//                = +Nlog2 + log(frcpa(1.f1 f2 ... f63))
+//
+// Log(x) = log(1/frcpa(x)) + log(frcpa(x) x)
+//
+// Log(x) =  +Nlog2 + log(1./frcpa(1.f1 f2 ... f63)) + log(frcpa(x) x)
+// Log(x) =  +Nlog2 - log(/frcpa(1.f1 f2 ... f63))   + log(frcpa(x) x)
+// Log(x) =  +Nlog2 + T                              + log(frcpa(x) x)
+//
+// Log(x) =  +Nlog2 + T                     + log(C x)
+//
+// Cx = 1 + r
+//
+// Log(x) =  +Nlog2 + T  + log(1+r)
+// Log(x) =  +Nlog2 + T  + Series( r - r^2/2 + r^3/3 - r^4/4 ....)
+//
+// 1.f1 f2 ... f8 has 256 entries.
+// They are 1 + k/2^8, k = 0 ... 255
+// These 256 values are the table entries.
+//
+// Implementation
+//==============================================================
+// C = frcpa(x)
+// r = C * x - 1
+//
+// Form rseries = r + P1*r^2 + P2*r^3 + P3*r^4
+//
+// x = f * 2*n where f is 1.f_1f_2f_3....f_63
+// Nfloat = float(n)  where n is the true unbiased exponent
+// pre-index = f_1f_2....f_8
+// index = pre_index * 8
+// get the dxt table entry at index + offset = T
+//
+// result = (T + Nfloat * log(2)) + rseries
+//
+// The T table is calculated as follows
+// Form x_k = 1 + k/2^8 where k goes from 0... 255
+//      y_k = frcpa(x_k)
+//      log(1/y_k)  in quad and round to double
+//
+
+// Registers used
+//==============================================================
+// Floating Point registers used:
+// f8, input
+// f9 -> f15,  f32 -> f62
+//
+// General registers used:
+// r14 -> r27, r32 -> r39
+//
+// Predicate registers used:
+// p6 -> p15
+//
+// p6 to filter out case when x = [Q,S]NaN
+// p7,p8 to filter out case when x < 1.0
+//
+// p10 to select path #1
+// p11 to filter out case when x = +INF
+// p12 used in the frcpa
+// p13 to select path #4
+// p14,p15 to select path #2
+
+// Assembly macros
+//==============================================================
+log_GR_exp_17_ones    = r14
+log_GR_signexp_f8     = r15
+log_table_address2    = r16
+log_GR_exp_16_ones    = r17
+log_GR_exp_f8         = r18
+log_GR_true_exp_f8    = r19
+log_GR_significand_f8 = r20
+log_GR_index          = r21
+log_GR_comp2          = r22
+acosh_GR_f8           = r23
+log_GR_comp           = r24
+acosh_GR_f8_sig       = r25
+log_table_address3    = r26
+NR_table_address      = r27
+
+GR_SAVE_B0            = r33
+GR_SAVE_GP            = r34
+GR_SAVE_PFS           = r35
+
+GR_Parameter_X        = r36
+GR_Parameter_Y        = r37
+GR_Parameter_RESULT   = r38
+acosh_GR_tag          = r39
+
+//==============================================================
+log_y            = f9
+NR1              = f10
+NR2              = f11
+log_y_rs         = f12
+log_y_rs_iter    = f13
+log_y_rs_iter1   = f14
+log_NORM_f8      = f15
+log_w            = f32
+acosh_comp       = f34
+acosh_comp2      = f33
+log_P3           = f35
+log_P2           = f36
+log_P1           = f37
+log2             = f38
+log_C0           = f39
+log_C1           = f40
+log_C2           = f41
+acosh_w_rs       = f42
+log_C            = f43
+log_arg          = f44
+acosh_w_iter1    = f45
+acosh_w_iter2    = f46
+log_int_Nfloat   = f47
+log_r            = f48
+log_rsq          = f49
+log_rp_p4        = f50
+log_rp_p32       = f51
+log_rcube        = f52
+log_rp_p10       = f53
+log_rp_p2        = f54
+log_Nfloat       = f55
+log_T            = f56
+log_r2P_r        = f57
+log_T_plus_Nlog2 = f58
+acosh_w_sqrt     = f59
+acosh_w_1        = f60
+log_arg_early    = f61
+log_y_rs_iter2   = f62
+
+
+// Data tables
+//==============================================================
+
+RODATA
+.align 16
+
+LOCAL_OBJECT_START(log_table_1)
+data8 0xbfd0001008f39d59 // p3
+data8 0x3fd5556073e0c45a // p2
+data8 0xbfdffffffffaea15 // p1
+data8 0x3FE62E42FEFA39EF // log2
+LOCAL_OBJECT_END(log_table_1)
+
+LOCAL_OBJECT_START(log_table_2)
+
+data8 0x3FE0000000000000 // 0.5
+data8 0x4008000000000000 // 3.0
+data8 0xD92CBAD213719F11, 0x00003FF9 // C2 3FF9D92CBAD213719F11
+data8 0x93D38EBF2EC9B073, 0x0000BFFC // C1 BFFC93D38EBF2EC9B073
+data8 0xB504F333F9DA0E32, 0x00003FFF // C0 3FFFB504F333F9DA0E32
+LOCAL_OBJECT_END(log_table_2)
+
+LOCAL_OBJECT_START(log_table_3)
+data8 0x3F60040155D5889E    //log(1/frcpa(1+   0/256)
+data8 0x3F78121214586B54    //log(1/frcpa(1+   1/256)
+data8 0x3F841929F96832F0    //log(1/frcpa(1+   2/256)
+data8 0x3F8C317384C75F06    //log(1/frcpa(1+   3/256)
+data8 0x3F91A6B91AC73386    //log(1/frcpa(1+   4/256)
+data8 0x3F95BA9A5D9AC039    //log(1/frcpa(1+   5/256)
+data8 0x3F99D2A8074325F4    //log(1/frcpa(1+   6/256)
+data8 0x3F9D6B2725979802    //log(1/frcpa(1+   7/256)
+data8 0x3FA0C58FA19DFAAA    //log(1/frcpa(1+   8/256)
+data8 0x3FA2954C78CBCE1B    //log(1/frcpa(1+   9/256)
+data8 0x3FA4A94D2DA96C56    //log(1/frcpa(1+  10/256)
+data8 0x3FA67C94F2D4BB58    //log(1/frcpa(1+  11/256)
+data8 0x3FA85188B630F068    //log(1/frcpa(1+  12/256)
+data8 0x3FAA6B8ABE73AF4C    //log(1/frcpa(1+  13/256)
+data8 0x3FAC441E06F72A9E    //log(1/frcpa(1+  14/256)
+data8 0x3FAE1E6713606D07    //log(1/frcpa(1+  15/256)
+data8 0x3FAFFA6911AB9301    //log(1/frcpa(1+  16/256)
+data8 0x3FB0EC139C5DA601    //log(1/frcpa(1+  17/256)
+data8 0x3FB1DBD2643D190B    //log(1/frcpa(1+  18/256)
+data8 0x3FB2CC7284FE5F1C    //log(1/frcpa(1+  19/256)
+data8 0x3FB3BDF5A7D1EE64    //log(1/frcpa(1+  20/256)
+data8 0x3FB4B05D7AA012E0    //log(1/frcpa(1+  21/256)
+data8 0x3FB580DB7CEB5702    //log(1/frcpa(1+  22/256)
+data8 0x3FB674F089365A7A    //log(1/frcpa(1+  23/256)
+data8 0x3FB769EF2C6B568D    //log(1/frcpa(1+  24/256)
+data8 0x3FB85FD927506A48    //log(1/frcpa(1+  25/256)
+data8 0x3FB9335E5D594989    //log(1/frcpa(1+  26/256)
+data8 0x3FBA2B0220C8E5F5    //log(1/frcpa(1+  27/256)
+data8 0x3FBB0004AC1A86AC    //log(1/frcpa(1+  28/256)
+data8 0x3FBBF968769FCA11    //log(1/frcpa(1+  29/256)
+data8 0x3FBCCFEDBFEE13A8    //log(1/frcpa(1+  30/256)
+data8 0x3FBDA727638446A2    //log(1/frcpa(1+  31/256)
+data8 0x3FBEA3257FE10F7A    //log(1/frcpa(1+  32/256)
+data8 0x3FBF7BE9FEDBFDE6    //log(1/frcpa(1+  33/256)
+data8 0x3FC02AB352FF25F4    //log(1/frcpa(1+  34/256)
+data8 0x3FC097CE579D204D    //log(1/frcpa(1+  35/256)
+data8 0x3FC1178E8227E47C    //log(1/frcpa(1+  36/256)
+data8 0x3FC185747DBECF34    //log(1/frcpa(1+  37/256)
+data8 0x3FC1F3B925F25D41    //log(1/frcpa(1+  38/256)
+data8 0x3FC2625D1E6DDF57    //log(1/frcpa(1+  39/256)
+data8 0x3FC2D1610C86813A    //log(1/frcpa(1+  40/256)
+data8 0x3FC340C59741142E    //log(1/frcpa(1+  41/256)
+data8 0x3FC3B08B6757F2A9    //log(1/frcpa(1+  42/256)
+data8 0x3FC40DFB08378003    //log(1/frcpa(1+  43/256)
+data8 0x3FC47E74E8CA5F7C    //log(1/frcpa(1+  44/256)
+data8 0x3FC4EF51F6466DE4    //log(1/frcpa(1+  45/256)
+data8 0x3FC56092E02BA516    //log(1/frcpa(1+  46/256)
+data8 0x3FC5D23857CD74D5    //log(1/frcpa(1+  47/256)
+data8 0x3FC6313A37335D76    //log(1/frcpa(1+  48/256)
+data8 0x3FC6A399DABBD383    //log(1/frcpa(1+  49/256)
+data8 0x3FC70337DD3CE41B    //log(1/frcpa(1+  50/256)
+data8 0x3FC77654128F6127    //log(1/frcpa(1+  51/256)
+data8 0x3FC7E9D82A0B022D    //log(1/frcpa(1+  52/256)
+data8 0x3FC84A6B759F512F    //log(1/frcpa(1+  53/256)
+data8 0x3FC8AB47D5F5A310    //log(1/frcpa(1+  54/256)
+data8 0x3FC91FE49096581B    //log(1/frcpa(1+  55/256)
+data8 0x3FC981634011AA75    //log(1/frcpa(1+  56/256)
+data8 0x3FC9F6C407089664    //log(1/frcpa(1+  57/256)
+data8 0x3FCA58E729348F43    //log(1/frcpa(1+  58/256)
+data8 0x3FCABB55C31693AD    //log(1/frcpa(1+  59/256)
+data8 0x3FCB1E104919EFD0    //log(1/frcpa(1+  60/256)
+data8 0x3FCB94EE93E367CB    //log(1/frcpa(1+  61/256)
+data8 0x3FCBF851C067555F    //log(1/frcpa(1+  62/256)
+data8 0x3FCC5C0254BF23A6    //log(1/frcpa(1+  63/256)
+data8 0x3FCCC000C9DB3C52    //log(1/frcpa(1+  64/256)
+data8 0x3FCD244D99C85674    //log(1/frcpa(1+  65/256)
+data8 0x3FCD88E93FB2F450    //log(1/frcpa(1+  66/256)
+data8 0x3FCDEDD437EAEF01    //log(1/frcpa(1+  67/256)
+data8 0x3FCE530EFFE71012    //log(1/frcpa(1+  68/256)
+data8 0x3FCEB89A1648B971    //log(1/frcpa(1+  69/256)
+data8 0x3FCF1E75FADF9BDE    //log(1/frcpa(1+  70/256)
+data8 0x3FCF84A32EAD7C35    //log(1/frcpa(1+  71/256)
+data8 0x3FCFEB2233EA07CD    //log(1/frcpa(1+  72/256)
+data8 0x3FD028F9C7035C1C    //log(1/frcpa(1+  73/256)
+data8 0x3FD05C8BE0D9635A    //log(1/frcpa(1+  74/256)
+data8 0x3FD085EB8F8AE797    //log(1/frcpa(1+  75/256)
+data8 0x3FD0B9C8E32D1911    //log(1/frcpa(1+  76/256)
+data8 0x3FD0EDD060B78081    //log(1/frcpa(1+  77/256)
+data8 0x3FD122024CF0063F    //log(1/frcpa(1+  78/256)
+data8 0x3FD14BE2927AECD4    //log(1/frcpa(1+  79/256)
+data8 0x3FD180618EF18ADF    //log(1/frcpa(1+  80/256)
+data8 0x3FD1B50BBE2FC63B    //log(1/frcpa(1+  81/256)
+data8 0x3FD1DF4CC7CF242D    //log(1/frcpa(1+  82/256)
+data8 0x3FD214456D0EB8D4    //log(1/frcpa(1+  83/256)
+data8 0x3FD23EC5991EBA49    //log(1/frcpa(1+  84/256)
+data8 0x3FD2740D9F870AFB    //log(1/frcpa(1+  85/256)
+data8 0x3FD29ECDABCDFA04    //log(1/frcpa(1+  86/256)
+data8 0x3FD2D46602ADCCEE    //log(1/frcpa(1+  87/256)
+data8 0x3FD2FF66B04EA9D4    //log(1/frcpa(1+  88/256)
+data8 0x3FD335504B355A37    //log(1/frcpa(1+  89/256)
+data8 0x3FD360925EC44F5D    //log(1/frcpa(1+  90/256)
+data8 0x3FD38BF1C3337E75    //log(1/frcpa(1+  91/256)
+data8 0x3FD3C25277333184    //log(1/frcpa(1+  92/256)
+data8 0x3FD3EDF463C1683E    //log(1/frcpa(1+  93/256)
+data8 0x3FD419B423D5E8C7    //log(1/frcpa(1+  94/256)
+data8 0x3FD44591E0539F49    //log(1/frcpa(1+  95/256)
+data8 0x3FD47C9175B6F0AD    //log(1/frcpa(1+  96/256)
+data8 0x3FD4A8B341552B09    //log(1/frcpa(1+  97/256)
+data8 0x3FD4D4F3908901A0    //log(1/frcpa(1+  98/256)
+data8 0x3FD501528DA1F968    //log(1/frcpa(1+  99/256)
+data8 0x3FD52DD06347D4F6    //log(1/frcpa(1+ 100/256)
+data8 0x3FD55A6D3C7B8A8A    //log(1/frcpa(1+ 101/256)
+data8 0x3FD5925D2B112A59    //log(1/frcpa(1+ 102/256)
+data8 0x3FD5BF406B543DB2    //log(1/frcpa(1+ 103/256)
+data8 0x3FD5EC433D5C35AE    //log(1/frcpa(1+ 104/256)
+data8 0x3FD61965CDB02C1F    //log(1/frcpa(1+ 105/256)
+data8 0x3FD646A84935B2A2    //log(1/frcpa(1+ 106/256)
+data8 0x3FD6740ADD31DE94    //log(1/frcpa(1+ 107/256)
+data8 0x3FD6A18DB74A58C5    //log(1/frcpa(1+ 108/256)
+data8 0x3FD6CF31058670EC    //log(1/frcpa(1+ 109/256)
+data8 0x3FD6F180E852F0BA    //log(1/frcpa(1+ 110/256)
+data8 0x3FD71F5D71B894F0    //log(1/frcpa(1+ 111/256)
+data8 0x3FD74D5AEFD66D5C    //log(1/frcpa(1+ 112/256)
+data8 0x3FD77B79922BD37E    //log(1/frcpa(1+ 113/256)
+data8 0x3FD7A9B9889F19E2    //log(1/frcpa(1+ 114/256)
+data8 0x3FD7D81B037EB6A6    //log(1/frcpa(1+ 115/256)
+data8 0x3FD8069E33827231    //log(1/frcpa(1+ 116/256)
+data8 0x3FD82996D3EF8BCB    //log(1/frcpa(1+ 117/256)
+data8 0x3FD85855776DCBFB    //log(1/frcpa(1+ 118/256)
+data8 0x3FD8873658327CCF    //log(1/frcpa(1+ 119/256)
+data8 0x3FD8AA75973AB8CF    //log(1/frcpa(1+ 120/256)
+data8 0x3FD8D992DC8824E5    //log(1/frcpa(1+ 121/256)
+data8 0x3FD908D2EA7D9512    //log(1/frcpa(1+ 122/256)
+data8 0x3FD92C59E79C0E56    //log(1/frcpa(1+ 123/256)
+data8 0x3FD95BD750EE3ED3    //log(1/frcpa(1+ 124/256)
+data8 0x3FD98B7811A3EE5B    //log(1/frcpa(1+ 125/256)
+data8 0x3FD9AF47F33D406C    //log(1/frcpa(1+ 126/256)
+data8 0x3FD9DF270C1914A8    //log(1/frcpa(1+ 127/256)
+data8 0x3FDA0325ED14FDA4    //log(1/frcpa(1+ 128/256)
+data8 0x3FDA33440224FA79    //log(1/frcpa(1+ 129/256)
+data8 0x3FDA57725E80C383    //log(1/frcpa(1+ 130/256)
+data8 0x3FDA87D0165DD199    //log(1/frcpa(1+ 131/256)
+data8 0x3FDAAC2E6C03F896    //log(1/frcpa(1+ 132/256)
+data8 0x3FDADCCC6FDF6A81    //log(1/frcpa(1+ 133/256)
+data8 0x3FDB015B3EB1E790    //log(1/frcpa(1+ 134/256)
+data8 0x3FDB323A3A635948    //log(1/frcpa(1+ 135/256)
+data8 0x3FDB56FA04462909    //log(1/frcpa(1+ 136/256)
+data8 0x3FDB881AA659BC93    //log(1/frcpa(1+ 137/256)
+data8 0x3FDBAD0BEF3DB165    //log(1/frcpa(1+ 138/256)
+data8 0x3FDBD21297781C2F    //log(1/frcpa(1+ 139/256)
+data8 0x3FDC039236F08819    //log(1/frcpa(1+ 140/256)
+data8 0x3FDC28CB1E4D32FD    //log(1/frcpa(1+ 141/256)
+data8 0x3FDC4E19B84723C2    //log(1/frcpa(1+ 142/256)
+data8 0x3FDC7FF9C74554C9    //log(1/frcpa(1+ 143/256)
+data8 0x3FDCA57B64E9DB05    //log(1/frcpa(1+ 144/256)
+data8 0x3FDCCB130A5CEBB0    //log(1/frcpa(1+ 145/256)
+data8 0x3FDCF0C0D18F326F    //log(1/frcpa(1+ 146/256)
+data8 0x3FDD232075B5A201    //log(1/frcpa(1+ 147/256)
+data8 0x3FDD490246DEFA6B    //log(1/frcpa(1+ 148/256)
+data8 0x3FDD6EFA918D25CD    //log(1/frcpa(1+ 149/256)
+data8 0x3FDD9509707AE52F    //log(1/frcpa(1+ 150/256)
+data8 0x3FDDBB2EFE92C554    //log(1/frcpa(1+ 151/256)
+data8 0x3FDDEE2F3445E4AF    //log(1/frcpa(1+ 152/256)
+data8 0x3FDE148A1A2726CE    //log(1/frcpa(1+ 153/256)
+data8 0x3FDE3AFC0A49FF40    //log(1/frcpa(1+ 154/256)
+data8 0x3FDE6185206D516E    //log(1/frcpa(1+ 155/256)
+data8 0x3FDE882578823D52    //log(1/frcpa(1+ 156/256)
+data8 0x3FDEAEDD2EAC990C    //log(1/frcpa(1+ 157/256)
+data8 0x3FDED5AC5F436BE3    //log(1/frcpa(1+ 158/256)
+data8 0x3FDEFC9326D16AB9    //log(1/frcpa(1+ 159/256)
+data8 0x3FDF2391A2157600    //log(1/frcpa(1+ 160/256)
+data8 0x3FDF4AA7EE03192D    //log(1/frcpa(1+ 161/256)
+data8 0x3FDF71D627C30BB0    //log(1/frcpa(1+ 162/256)
+data8 0x3FDF991C6CB3B379    //log(1/frcpa(1+ 163/256)
+data8 0x3FDFC07ADA69A910    //log(1/frcpa(1+ 164/256)
+data8 0x3FDFE7F18EB03D3E    //log(1/frcpa(1+ 165/256)
+data8 0x3FE007C053C5002E    //log(1/frcpa(1+ 166/256)
+data8 0x3FE01B942198A5A1    //log(1/frcpa(1+ 167/256)
+data8 0x3FE02F74400C64EB    //log(1/frcpa(1+ 168/256)
+data8 0x3FE04360BE7603AD    //log(1/frcpa(1+ 169/256)
+data8 0x3FE05759AC47FE34    //log(1/frcpa(1+ 170/256)
+data8 0x3FE06B5F1911CF52    //log(1/frcpa(1+ 171/256)
+data8 0x3FE078BF0533C568    //log(1/frcpa(1+ 172/256)
+data8 0x3FE08CD9687E7B0E    //log(1/frcpa(1+ 173/256)
+data8 0x3FE0A10074CF9019    //log(1/frcpa(1+ 174/256)
+data8 0x3FE0B5343A234477    //log(1/frcpa(1+ 175/256)
+data8 0x3FE0C974C89431CE    //log(1/frcpa(1+ 176/256)
+data8 0x3FE0DDC2305B9886    //log(1/frcpa(1+ 177/256)
+data8 0x3FE0EB524BAFC918    //log(1/frcpa(1+ 178/256)
+data8 0x3FE0FFB54213A476    //log(1/frcpa(1+ 179/256)
+data8 0x3FE114253DA97D9F    //log(1/frcpa(1+ 180/256)
+data8 0x3FE128A24F1D9AFF    //log(1/frcpa(1+ 181/256)
+data8 0x3FE1365252BF0865    //log(1/frcpa(1+ 182/256)
+data8 0x3FE14AE558B4A92D    //log(1/frcpa(1+ 183/256)
+data8 0x3FE15F85A19C765B    //log(1/frcpa(1+ 184/256)
+data8 0x3FE16D4D38C119FA    //log(1/frcpa(1+ 185/256)
+data8 0x3FE18203C20DD133    //log(1/frcpa(1+ 186/256)
+data8 0x3FE196C7BC4B1F3B    //log(1/frcpa(1+ 187/256)
+data8 0x3FE1A4A738B7A33C    //log(1/frcpa(1+ 188/256)
+data8 0x3FE1B981C0C9653D    //log(1/frcpa(1+ 189/256)
+data8 0x3FE1CE69E8BB106B    //log(1/frcpa(1+ 190/256)
+data8 0x3FE1DC619DE06944    //log(1/frcpa(1+ 191/256)
+data8 0x3FE1F160A2AD0DA4    //log(1/frcpa(1+ 192/256)
+data8 0x3FE2066D7740737E    //log(1/frcpa(1+ 193/256)
+data8 0x3FE2147DBA47A394    //log(1/frcpa(1+ 194/256)
+data8 0x3FE229A1BC5EBAC3    //log(1/frcpa(1+ 195/256)
+data8 0x3FE237C1841A502E    //log(1/frcpa(1+ 196/256)
+data8 0x3FE24CFCE6F80D9A    //log(1/frcpa(1+ 197/256)
+data8 0x3FE25B2C55CD5762    //log(1/frcpa(1+ 198/256)
+data8 0x3FE2707F4D5F7C41    //log(1/frcpa(1+ 199/256)
+data8 0x3FE285E0842CA384    //log(1/frcpa(1+ 200/256)
+data8 0x3FE294294708B773    //log(1/frcpa(1+ 201/256)
+data8 0x3FE2A9A2670AFF0C    //log(1/frcpa(1+ 202/256)
+data8 0x3FE2B7FB2C8D1CC1    //log(1/frcpa(1+ 203/256)
+data8 0x3FE2C65A6395F5F5    //log(1/frcpa(1+ 204/256)
+data8 0x3FE2DBF557B0DF43    //log(1/frcpa(1+ 205/256)
+data8 0x3FE2EA64C3F97655    //log(1/frcpa(1+ 206/256)
+data8 0x3FE3001823684D73    //log(1/frcpa(1+ 207/256)
+data8 0x3FE30E97E9A8B5CD    //log(1/frcpa(1+ 208/256)
+data8 0x3FE32463EBDD34EA    //log(1/frcpa(1+ 209/256)
+data8 0x3FE332F4314AD796    //log(1/frcpa(1+ 210/256)
+data8 0x3FE348D90E7464D0    //log(1/frcpa(1+ 211/256)
+data8 0x3FE35779F8C43D6E    //log(1/frcpa(1+ 212/256)
+data8 0x3FE36621961A6A99    //log(1/frcpa(1+ 213/256)
+data8 0x3FE37C299F3C366A    //log(1/frcpa(1+ 214/256)
+data8 0x3FE38AE2171976E7    //log(1/frcpa(1+ 215/256)
+data8 0x3FE399A157A603E7    //log(1/frcpa(1+ 216/256)
+data8 0x3FE3AFCCFE77B9D1    //log(1/frcpa(1+ 217/256)
+data8 0x3FE3BE9D503533B5    //log(1/frcpa(1+ 218/256)
+data8 0x3FE3CD7480B4A8A3    //log(1/frcpa(1+ 219/256)
+data8 0x3FE3E3C43918F76C    //log(1/frcpa(1+ 220/256)
+data8 0x3FE3F2ACB27ED6C7    //log(1/frcpa(1+ 221/256)
+data8 0x3FE4019C2125CA93    //log(1/frcpa(1+ 222/256)
+data8 0x3FE4181061389722    //log(1/frcpa(1+ 223/256)
+data8 0x3FE42711518DF545    //log(1/frcpa(1+ 224/256)
+data8 0x3FE436194E12B6BF    //log(1/frcpa(1+ 225/256)
+data8 0x3FE445285D68EA69    //log(1/frcpa(1+ 226/256)
+data8 0x3FE45BCC464C893A    //log(1/frcpa(1+ 227/256)
+data8 0x3FE46AED21F117FC    //log(1/frcpa(1+ 228/256)
+data8 0x3FE47A1527E8A2D3    //log(1/frcpa(1+ 229/256)
+data8 0x3FE489445EFFFCCC    //log(1/frcpa(1+ 230/256)
+data8 0x3FE4A018BCB69835    //log(1/frcpa(1+ 231/256)
+data8 0x3FE4AF5A0C9D65D7    //log(1/frcpa(1+ 232/256)
+data8 0x3FE4BEA2A5BDBE87    //log(1/frcpa(1+ 233/256)
+data8 0x3FE4CDF28F10AC46    //log(1/frcpa(1+ 234/256)
+data8 0x3FE4DD49CF994058    //log(1/frcpa(1+ 235/256)
+data8 0x3FE4ECA86E64A684    //log(1/frcpa(1+ 236/256)
+data8 0x3FE503C43CD8EB68    //log(1/frcpa(1+ 237/256)
+data8 0x3FE513356667FC57    //log(1/frcpa(1+ 238/256)
+data8 0x3FE522AE0738A3D8    //log(1/frcpa(1+ 239/256)
+data8 0x3FE5322E26867857    //log(1/frcpa(1+ 240/256)
+data8 0x3FE541B5CB979809    //log(1/frcpa(1+ 241/256)
+data8 0x3FE55144FDBCBD62    //log(1/frcpa(1+ 242/256)
+data8 0x3FE560DBC45153C7    //log(1/frcpa(1+ 243/256)
+data8 0x3FE5707A26BB8C66    //log(1/frcpa(1+ 244/256)
+data8 0x3FE587F60ED5B900    //log(1/frcpa(1+ 245/256)
+data8 0x3FE597A7977C8F31    //log(1/frcpa(1+ 246/256)
+data8 0x3FE5A760D634BB8B    //log(1/frcpa(1+ 247/256)
+data8 0x3FE5B721D295F10F    //log(1/frcpa(1+ 248/256)
+data8 0x3FE5C6EA94431EF9    //log(1/frcpa(1+ 249/256)
+data8 0x3FE5D6BB22EA86F6    //log(1/frcpa(1+ 250/256)
+data8 0x3FE5E6938645D390    //log(1/frcpa(1+ 251/256)
+data8 0x3FE5F673C61A2ED2    //log(1/frcpa(1+ 252/256)
+data8 0x3FE6065BEA385926    //log(1/frcpa(1+ 253/256)
+data8 0x3FE6164BFA7CC06B    //log(1/frcpa(1+ 254/256)
+data8 0x3FE62643FECF9743    //log(1/frcpa(1+ 255/256)
+LOCAL_OBJECT_END(log_table_3)
+
+
+.section .text
+GLOBAL_LIBM_ENTRY(acoshf)
+
+{ .mfi
+      getf.exp   acosh_GR_f8 = f8
+      fclass.m   p6,p0 = f8, 0xc3                    // Test for x = NaN
+      mov        log_GR_comp2 = 0x10032
+}
+{ .mfi
+      addl       NR_table_address = @ltoff(log_table_1), gp
+      fms.s1     log_y = f8, f8, f1                  // y = x^2-1
+      nop.i      0
+}
+;;
+
+{ .mfi
+      getf.sig   acosh_GR_f8_sig = f8
+      fclass.m   p11,p0 = f8, 0x21                   // Test for x=+inf
+      mov        log_GR_exp_17_ones = 0x1ffff
+}
+{ .mfi
+      ld8        NR_table_address = [NR_table_address]
+      fms.s1     log_w = f8,f1,f1                    // w = x - 1
+      nop.i      0
+}
+;;
+
+{ .mfi
+      nop.m      0
+      fcmp.lt.s1 p7,p8 = f8, f1            // Test for x<1.0
+      addl       log_GR_comp = 0x10020C,r0 // Upper 21 bits of signif of 1.0005
+}
+{ .mfb
+      mov        log_GR_exp_16_ones = 0xffff         //BIAS
+(p6)  fma.s.s0   f8 = f8,f1,f0      // quietize nan result if x=nan
+(p6)  br.ret.spnt b0                // Exit for x=nan
+}
+;;
+
+{ .mfb
+      //get second table address
+      adds       log_table_address2 = 0x20, NR_table_address
+      fcmp.eq.s1 p10,p0 = f8, f1      // Test for x=+1.0
+(p11) br.ret.spnt b0                  // Exit for x=+inf
+}
+;;
+
+{ .mfi
+      ldfpd      NR1,NR2 = [log_table_address2],16
+      frsqrta.s1 log_y_rs,p0 = log_y  // z=1/sqrt(y)
+      nop.i      0
+}
+{ .mfb
+      nop.m      0
+      fma.s1     log_arg = f8,f1,f8
+(p7)  br.cond.spnt ACOSH_LESS_ONE     // Branch if path 7, x < 1.0
+}
+;;
+
+{ .mfi
+      ldfe       log_C2 = [log_table_address2],16
+(p8)  fcmp.eq.s0 p6,p0 = f8, f0       // Dummy op sets denorm flag if unorm>=1.0
+      nop.i      0
+}
+{ .mfb
+(p8)  cmp.le.unc p13,p0 = log_GR_comp2,acosh_GR_f8
+      nop.f      0
+(p13) br.cond.spnt LOG_COMMON1        // Branch if path 4, x >= 2^51
+}
+;;
+
+{ .mfi
+      ldfe       log_C1 = [log_table_address2],16
+(p10) fmerge.s   f8 = f0, f0          // Return 0 if x=1.0
+      shr.u      acosh_GR_f8_sig = acosh_GR_f8_sig,43
+}
+{ .mib
+      cmp.eq     p14,p0 = log_GR_exp_16_ones,acosh_GR_f8
+      nop.i      0
+(p10) br.ret.spnt b0                  // Exit for x=1.0
+}
+;;
+
+{ .mfi
+      ldfe       log_C0 = [log_table_address2],16
+      frsqrta.s1 acosh_w_rs,p0 = log_w // t=1/sqrt(w)
+      nop.i      0
+}
+{ .mfb
+(p14) cmp.lt.unc p15,p0 = acosh_GR_f8_sig,log_GR_comp
+      nop.f      0
+(p15) br.cond.spnt ACOSH_NEAR_ONE     // Branch if path 2, 1.0 < x < 1.0005
+}
+;;
+
+// Here is main path, 1.0005 <= x < 2^51
+/////////////// The first iteration //////////////////////////////////
+{ .mfi
+      ldfpd      log_P3,log_P2 = [NR_table_address],16
+      fma.s1     log_y_rs_iter = log_y_rs,log_y,f0              // y*z
+      nop.i      0
+}
+;;
+
+{ .mfi
+      ldfpd      log_P1,log2 = [NR_table_address],16
+      fnma.s1    log_y_rs_iter2 = log_y_rs_iter,log_y_rs,NR2    // 3-(y*z)*z
+      nop.i      0
+}
+{ .mfi
+      nop.m      0
+      fma.s1     log_y_rs_iter1 = log_y_rs,NR1,f0               // 0.5*z
+      nop.i      0
+}
+;;
+
+{ .mfi
+      nop.m      0
+      // (0.5*z)*(3-(y*z)*z)
+      fma.s1     log_y_rs_iter = log_y_rs_iter1,log_y_rs_iter2,f0
+      nop.i      0
+}
+{ .mfi
+      nop.m      0
+      // (0.5*z)*(3-(y*z)*z)
+      fma.s1     log_arg_early = log_y_rs_iter1,log_y_rs_iter2,f0
+      nop.i      0
+}
+;;
+
+/////////////////////////// The second iteration /////////////////////////////
+{ .mfi
+      nop.m      0
+      fma.s1     log_y_rs = log_y_rs_iter,log_y,f0
+      nop.i      0
+}
+{ .mfi
+      nop.m      0
+      fma.s1     log_y_rs_iter1 = log_y_rs_iter,NR1,f0
+      nop.i      0
+}
+;;
+
+{ .mfi
+      nop.m      0
+      fma.s1     log_arg_early = log_arg_early,log_y,f8
+      nop.i      0
+}
+;;
+
+{ .mfi
+      nop.m      0
+      fnma.s1    log_y_rs = log_y_rs,log_y_rs_iter,NR2
+      nop.i      0
+}
+{ .mfi
+      nop.m      0
+      fma.s1     log_y_rs_iter1 = log_y_rs_iter1,log_y,f0
+      nop.i      0
+}
+;;
+
+{ .mfi
+      nop.m      0
+      frcpa.s1   log_C,p0 = f1,log_arg_early
+      nop.i      0
+}
+;;
+
+{ .mfi
+      getf.exp   log_GR_signexp_f8 = log_arg_early
+      nop.f      0
+      nop.i      0
+}
+;;
+
+{ .mfi
+      getf.sig   log_GR_significand_f8 = log_arg_early
+      fma.s1     log_arg = log_y_rs_iter1,log_y_rs,f8 // (0.5*z)*(3-(y*z)*z)
+      adds       log_table_address3 = 0x40, NR_table_address
+}
+;;
+
+///////////////////////////////// The end NR iterations /////////////////////
+
+{ .mmi
+      //significant bit destruction
+      and        log_GR_exp_f8 = log_GR_signexp_f8, log_GR_exp_17_ones
+;;
+      //BIAS subtraction
+      sub        log_GR_true_exp_f8 = log_GR_exp_f8, log_GR_exp_16_ones
+      nop.i      0
+}
+;;
+
+{ .mfi
+      setf.sig   log_int_Nfloat = log_GR_true_exp_f8
+      fms.s1     log_r = log_C,log_arg,f1  // C = frcpa(x); r = C * x - 1
+      extr.u     log_GR_index = log_GR_significand_f8,55,8 //Extract 8 bits
+}
+;;
+
+{ .mmi
+      //pre-index*8 + index
+      shladd     log_table_address3 = log_GR_index,3,log_table_address3
+;;
+      ldfd       log_T = [log_table_address3]
+      nop.i      0
+}
+;;
+
+{ .mfi
+      nop.m      0
+      fma.s1     log_rsq = log_r, log_r, f0         //r^2
+      nop.i      0
+}
+{ .mfi
+      nop.m      0
+      fma.s1     log_rp_p32 = log_P3, log_r, log_P2 //P3*r + P2
+      nop.i      0
+}
+;;
+
+{ .mfi
+      nop.m      0
+      fma.s1     log_rp_p10 = log_P1, log_r, f1     //P1*r + 1.0
+      nop.i      0
+}
+;;
+
+{ .mfi
+      nop.m      0
+      //convert N to the floating-point format log_Nfloat
+      fcvt.xf    log_Nfloat = log_int_Nfloat
+      nop.i      0
+}
+;;
+
+{ .mfi
+      nop.m      0
+      //(P3*r + P2)*r^2 + P1*r + 1.0
+      fma.s1     log_rp_p2 = log_rp_p32, log_rsq, log_rp_p10
+      nop.i      0
+}
+;;
+
+{ .mfi
+      nop.m      0
+      fma.s1     log_T_plus_Nlog2 = log_Nfloat,log2,log_T    //N*log2 + T
+      nop.i      0
+}
+;;
+
+{ .mfb
+      nop.m      0
+      fma.s.s0   f8 = log_rp_p2,log_r,log_T_plus_Nlog2
+      br.ret.sptk b0          // Exit main path, path 3: 1.0005 <= x < 2^51
+}
+;;
+
+// Here if path 2, 1.0 < x < 1.0005
+ACOSH_NEAR_ONE:
+// The first NR iteration
+{ .mfi
+      nop.m      0
+      fma.s1     acosh_w_iter1 = acosh_w_rs,log_w,f0  //t*w
+      nop.i      0
+}
+{ .mfi
+      nop.m      0
+      fma.s1     acosh_w_1 = f8,log_C2,log_C1         //x*C2 + C1
+      nop.i      0
+}
+;;
+
+{ .mfi
+      nop.m      0
+      fma.s1     acosh_w_iter2 = acosh_w_rs,NR1,f0    //t*0.5
+      nop.i      0
+}
+{ .mfi
+      nop.m      0
+      fnma.s1    acosh_w_iter1 = acosh_w_iter1,acosh_w_rs,NR2 //3-t*t*w
+      nop.i      0
+}
+;;
+
+{ .mfi
+      nop.m      0
+      //(3-t*t*w)*t*0.5
+      fma.s1     acosh_w_iter2 = acosh_w_iter2,acosh_w_iter1,f0
+      nop.i      0
+}
+{ .mfi
+      nop.m      0
+      fma.s1     acosh_w_1 = acosh_w_1,log_w,log_C0 //(x*C2 + C1)*(x-1) + C0
+      nop.i      0
+}
+;;
+
+// The second NR iteration
+{ .mfi
+      nop.m      0
+      fma.s1     acosh_w_rs = acosh_w_iter2,log_w,f0  //t*w
+      nop.i      0
+}
+;;
+
+{ .mfi
+      nop.m      0
+      fnma.s1    acosh_w_iter1 = acosh_w_iter2,acosh_w_rs,NR2
+      nop.i      0
+}
+{ .mfi
+      nop.m      0
+      fma.s1     acosh_w_iter2 = acosh_w_iter2,NR1,f0
+      nop.i      0
+}
+;;
+
+{ .mfi
+      nop.m      0
+      fma.s1     acosh_w_iter2 = acosh_w_iter2,acosh_w_iter1,f0
+      nop.i      0
+}
+;;
+
+{ .mfi
+      nop.m      0
+      fma.s1     acosh_w_sqrt = acosh_w_iter2,log_w,f0
+      nop.i      0
+}
+;;
+
+{ .mfb
+      nop.m      0
+      fma.s.s0   f8 = acosh_w_1,acosh_w_sqrt,f0
+      br.ret.sptk b0          // Exit path 2, 1.0 < x < 1.0005
+}
+;;
+
+// Here if path 4, x >= 2^51
+LOG_COMMON1:
+{ .mfi
+      ldfpd      log_P3,log_P2 = [NR_table_address],16
+      frcpa.s1   log_C,p0 = f1,log_arg
+      nop.i      0
+}
+;;
+
+{ .mmi
+      getf.exp   log_GR_signexp_f8 = log_arg
+      ldfpd      log_P1,log2 = [NR_table_address],16
+      nop.i      0
+}
+;;
+
+{ .mmi
+      getf.sig   log_GR_significand_f8 = log_arg
+      nop.m      0
+      nop.i      0
+}
+;;
+
+{ .mfi
+      adds       log_table_address3 = 0x40, NR_table_address
+      nop.f      0
+      //significant bit destruction
+      and        log_GR_exp_f8 = log_GR_signexp_f8, log_GR_exp_17_ones
+}
+;;
+
+{ .mmf
+      nop.m      0
+      //BIAS subtraction
+      sub        log_GR_true_exp_f8 = log_GR_exp_f8, log_GR_exp_16_ones
+      fms.s1     log_r = log_C,log_arg,f1  // C = frcpa(x); r = C * x - 1
+}
+;;
+
+{ .mfi
+      setf.sig   log_int_Nfloat = log_GR_true_exp_f8
+      nop.f      0
+      extr.u     log_GR_index = log_GR_significand_f8,55,8 //Extract 8 bits
+}
+;;
+
+{ .mmi
+      //pre-index*8 + index
+      shladd     log_table_address3 = log_GR_index,3,log_table_address3
+;;
+      ldfd       log_T = [log_table_address3]
+      nop.i      0
+}
+;;
+
+{ .mfi
+      nop.m      0
+      fma.s1     log_rsq = log_r, log_r, f0         //r^2
+      nop.i      0
+}
+{ .mfi
+      nop.m      0
+      fma.s1     log_rp_p32 = log_P3, log_r, log_P2 //P3*r + P2
+      nop.i      0
+}
+;;
+
+{ .mfi
+      nop.m      0
+      fma.s1     log_rp_p10 = log_P1, log_r, f1     //P1*r + 1.0
+      nop.i      0
+}
+;;
+
+{ .mfi
+      nop.m      0
+      //convert N to the floating-point format log_Nfloat
+      fcvt.xf    log_Nfloat = log_int_Nfloat
+      nop.i      0
+}
+{ .mfi
+      nop.m      0
+      fma.s1     log_rp_p2 = log_rp_p32, log_rsq, log_rp_p10
+      nop.i      0
+}
+;;
+
+{ .mfi
+      nop.m      0
+      fma.s1     log_T_plus_Nlog2 = log_Nfloat,log2,log_T    //N*log2 + T
+      nop.i      0
+}
+;;
+
+{ .mfb
+      nop.m      0
+      fma.s.s0   f8 = log_rp_p2,log_r,log_T_plus_Nlog2
+      br.ret.sptk b0        // Exit path 4, x >= 2^51
+}
+;;
+
+// Here if path 7, x < 1.0
+ACOSH_LESS_ONE:
+{ .mfi
+      alloc      r32 = ar.pfs,1,3,4,0
+      fmerge.s   f10 = f8,f8
+      nop.i      0
+}
+;;
+
+{ .mfb
+      mov        acosh_GR_tag = 137
+      frcpa.s0   f8,p0 = f0,f0
+      br.cond.sptk __libm_error_region
+}
+;;
+
+GLOBAL_LIBM_END(acoshf)
+
+LOCAL_LIBM_ENTRY(__libm_error_region)
+.prologue
+
+{ .mfi
+        add   GR_Parameter_Y=-32,sp             // Parameter 2 value
+        nop.f 0
+.save   ar.pfs,GR_SAVE_PFS
+        mov  GR_SAVE_PFS=ar.pfs                 // Save ar.pfs
+}
+{ .mfi
+.fframe 64
+        add sp=-64,sp                          // Create new stack
+        nop.f 0
+        mov GR_SAVE_GP=gp                      // Save gp
+};;
+
+{ .mmi
+        stfs [GR_Parameter_Y] = f1,16         // STORE Parameter 2 on stack
+        add GR_Parameter_X = 16,sp            // Parameter 1 address
+.save   b0, GR_SAVE_B0
+        mov GR_SAVE_B0=b0                     // Save b0
+};;
+
+.body
+{ .mib
+        stfs [GR_Parameter_X] = f10           // STORE Parameter 1 on stack
+        add   GR_Parameter_RESULT = 0,GR_Parameter_Y  // Parameter 3 address
+        nop.b 0
+}
+{ .mib
+        stfs [GR_Parameter_Y] = f8            // STORE Parameter 3 on stack
+        add   GR_Parameter_Y = -16,GR_Parameter_Y
+        br.call.sptk b0=__libm_error_support# // Call error handling function
+};;
+
+{ .mmi
+        add   GR_Parameter_RESULT = 48,sp
+        nop.m 0
+        nop.i 0
+};;
+
+{ .mmi
+        ldfs  f8 = [GR_Parameter_RESULT]       // Get return result off stack
+.restore sp
+        add   sp = 64,sp                       // Restore stack pointer
+        mov   b0 = GR_SAVE_B0                  // Restore return address
+};;
+
+{ .mib
+        mov   gp = GR_SAVE_GP                  // Restore gp
+        mov   ar.pfs = GR_SAVE_PFS             // Restore ar.pfs
+        br.ret.sptk     b0                     // Return
+};;
+
+LOCAL_LIBM_END(__libm_error_region)
+
+
+.type   __libm_error_support#,@function
+.global __libm_error_support#
diff --git a/sysdeps/ia64/fpu/e_acoshl.S b/sysdeps/ia64/fpu/e_acoshl.S
new file mode 100644
index 0000000000..85282d16d0
--- /dev/null
+++ b/sysdeps/ia64/fpu/e_acoshl.S
@@ -0,0 +1,1713 @@
+.file "acoshl.s"
+
+
+// Copyright (c) 2000 - 2003, Intel Corporation
+// All rights reserved.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
+//
+// Redistribution and use in source and binary forms, with or without
+// modification, are permitted provided that the following conditions are
+// met:
+//
+// * Redistributions of source code must retain the above copyright
+// notice, this list of conditions and the following disclaimer.
+//
+// * Redistributions in binary form must reproduce the above copyright
+// notice, this list of conditions and the following disclaimer in the
+// documentation and/or other materials provided with the distribution.
+//
+// * The name of Intel Corporation may not be used to endorse or promote
+// products derived from this software without specific prior written
+// permission.
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
+// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS 
+// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, 
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY 
+// OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 
+// 
+// Intel Corporation is the author of this code, and requests that all
+// problem reports or change requests be submitted to it directly at 
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
+//
+//*********************************************************************
+//
+// History: 
+// 10/01/01 Initial version
+// 10/10/01 Performance inproved
+// 12/11/01 Changed huges_logp to not be global
+// 01/02/02 Corrected .restore syntax
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 08/14/02 Changed mli templates to mlx
+// 02/06/03 Reorganized data tables
+//
+//*********************************************************************
+//
+// API
+//==============================================================
+// long double acoshl(long double);
+//
+// Overview of operation
+//==============================================================
+// 
+// There are 6 paths:
+// 1. x = 1
+//    Return acoshl(x) = 0;
+//
+// 2. x < 1
+//    Return acoshl(x) = Nan (Domain error, error handler call with tag 135);
+//
+// 3. x = [S,Q]Nan or +INF
+//    Return acoshl(x) = x + x;
+// 
+// 4. 'Near 1': 1 < x < 1+1/8
+//    Return acoshl(x) = sqrtl(2*y)*(1-P(y)/Q(y)), 
+//                   where y = 1, P(y)/Q(y) - rational approximation
+//
+// 5. 'Huges': x > 0.5*2^64
+//    Return acoshl(x) = (logl(2*x-1));
+//                    
+// 6. 'Main path': 1+1/8 < x < 0.5*2^64
+//    b_hi + b_lo = x + sqrt(x^2 - 1);
+//    acoshl(x) = logl_special(b_hi, b_lo);
+//  
+// Algorithm description                                                      
+//==============================================================
+//
+// I. Near 1 path algorithm
+// **************************************************************
+// The formula is acoshl(x) = sqrtl(2*y)*(1-P(y)/Q(y)), 
+//                 where y = 1, P(y)/Q(y) - rational approximation
+//
+// 1) y = x - 1, y2 = 2 * y
+//
+// 2) Compute in parallel sqrtl(2*y) and P(y)/Q(y)
+//    a) sqrtl computation method described below (main path algorithm, item 2))
+//       As result we obtain (gg+gl) - multiprecision result 
+//       as pair of double extended values
+//    b) P(y) and Q(y) calculated without any extra precision manipulations
+//    c) P/Q division:
+//       y = frcpa(Q)         initial approximation of 1/Q
+//       z = P*y              initial approximation of P/Q
+//     
+//       e = 1 - b*y
+//       e2 = e + e^2
+//       e1 = e^2
+//       y1 = y + y*e2 = y + y*(e+e^2)
+//
+//       e3 = e + e1^2
+//       y2 = y + y1*e3 = y + y*(e+e^2+..+e^6)
+//
+//       r = P - Q*z
+//       e = 1 - Q*y2
+//       xx = z + r*y2         high part of a/b
+//
+//       y3 = y2 + y2*e4
+//       r1 = P  - Q*xx
+//       xl = r1*y3            low part of a/b
+//
+// 3) res = sqrt(2*y) - sqrt(2*y)*(P(y)/Q(y)) =
+//        = (gg+gl) - (gg + gl)*(xx+xl);
+//
+//    a) hh = gg*xx; hl = gg*xl; lh = gl*xx; ll = gl*xl;
+//    b) res = ((((gl + ll) + lh) + hl) + hh) + gg;
+//       (exactly in this order)
+//
+// II. Main path algorithm 
+// ( thanks to Peter Markstein for the idea of sqrt(x^2+1) computation! )
+// **********************************************************************
+//
+// There are 3 parts of x+sqrt(x^2-1) computation:
+//
+//  1) m2 = (m2_hi+m2_lo) = x^2-1 obtaining
+//     ------------------------------------
+//     m2_hi = x2_hi - 1, where x2_hi = x * x;
+//     m2_lo = x2_lo + p1_lo, where 
+//                            x2_lo = FMS(x*x-x2_hi), 
+//                            p1_lo = (1 + m2_hi) - x2_hi;
+//
+//  2) g = (g_hi+g_lo) = sqrt(m2) = sqrt(m2_hi+m2_lo)
+//     ----------------------------------------------
+//     r = invsqrt(m2_hi) (8-bit reciprocal square root approximation);
+//     g = m2_hi * r (first 8 bit-approximation of sqrt);
+//     
+//     h = 0.5 * r;
+//     e = 0.5 - g * h;
+//     g = g * e + g (second 16 bit-approximation of sqrt);
+//     
+//     h = h * e + h;
+//     e = 0.5 - g * h;
+//     g = g * e + g (third 32 bit-approximation of sqrt);
+//
+//     h = h * e + h;
+//     e = 0.5 - g * h;
+//     g_hi = g * e + g (fourth 64 bit-approximation of sqrt);
+//  
+//     Remainder computation:
+//     h = h * e + h;
+//     d = (m2_hi - g_hi * g_hi) + m2_lo;
+//     g_lo = d * h;
+//
+//  3) b = (b_hi + b_lo) = x + g, where g = (g_hi + g_lo) = sqrt(x^2-1)
+//     -------------------------------------------------------------------
+//     b_hi = (g_hi + x) + gl;
+//     b_lo = (x - b_hi) + g_hi + gl;
+//     
+//  Now we pass b presented as sum b_hi + b_lo to special version
+//  of logl function which accept a pair of arguments as
+//  mutiprecision value.   
+//  
+//  Special log algorithm overview
+//  ================================
+//   Here we use a table lookup method. The basic idea is that in
+//   order to compute logl(Arg) for an argument Arg in [1,2), 
+//   we construct a value G such that G*Arg is close to 1 and that
+//   logl(1/G) is obtainable easily from a table of values calculated
+//   beforehand. Thus
+//
+//      logl(Arg) = logl(1/G) + logl((G*Arg - 1))
+//
+//   Because |G*Arg - 1| is small, the second term on the right hand
+//   side can be approximated by a short polynomial. We elaborate
+//   this method in four steps.
+//
+//   Step 0: Initialization
+//
+//   We need to calculate logl( X+1 ). Obtain N, S_hi such that
+//
+//      X = 2^N * ( S_hi + S_lo )   exactly
+//
+//   where S_hi in [1,2) and S_lo is a correction to S_hi in the sense
+//   that |S_lo| <= ulp(S_hi).
+//
+//   For the special version of logl: S_lo = b_lo
+//   !-----------------------------------------------!
+//
+//   Step 1: Argument Reduction
+//
+//   Based on S_hi, obtain G_1, G_2, G_3 from a table and calculate
+//
+//      G := G_1 * G_2 * G_3
+//      r := (G * S_hi - 1) + G * S_lo
+//
+//   These G_j's have the property that the product is exactly 
+//   representable and that |r| < 2^(-12) as a result.
+//
+//   Step 2: Approximation
+//
+//   logl(1 + r) is approximated by a short polynomial poly(r).
+//
+//   Step 3: Reconstruction
+//
+//   Finally, logl( X ) = logl( X+1 ) is given by
+//
+//   logl( X )   =   logl( 2^N * (S_hi + S_lo) )
+//                 ~=~  N*logl(2) + logl(1/G) + logl(1 + r)
+//                 ~=~  N*logl(2) + logl(1/G) + poly(r).
+//
+//   For detailed description see logl or log1pl function, regular path.
+//
+// Registers used
+//==============================================================
+// Floating Point registers used: 
+// f8, input
+// f32 -> f95 (64 registers)
+
+// General registers used:  
+// r32 -> r67 (36 registers)
+
+// Predicate registers used:
+// p7 -> p11
+// p7  for 'NaNs, Inf' path
+// p8  for 'near 1' path
+// p9  for 'huges' path
+// p10 for x = 1 
+// p11 for x < 1
+//
+//*********************************************************************
+// IEEE Special Conditions:
+//
+//    acoshl(+inf)  = +inf
+//    acoshl(-inf) = QNaN 
+//    acoshl(1)    = 0 
+//    acoshl(x<1)  = QNaN
+//    acoshl(SNaN) = QNaN
+//    acoshl(QNaN) = QNaN
+//
+
+// Data tables
+//==============================================================
+     
+RODATA
+.align 64
+
+// Near 1 path rational aproximation coefficients
+LOCAL_OBJECT_START(Poly_P)
+data8 0xB0978143F695D40F, 0x3FF1  // .84205539791447100108478906277453574946e-4  
+data8 0xB9800D841A8CAD29, 0x3FF6  // .28305085180397409672905983082168721069e-2  
+data8 0xC889F455758C1725, 0x3FF9  // .24479844297887530847660233111267222945e-1  
+data8 0x9BE1DFF006F45F12, 0x3FFB  // .76114415657565879842941751209926938306e-1  
+data8 0x9E34AF4D372861E0, 0x3FFB  // .77248925727776366270605984806795850504e-1  
+data8 0xF3DC502AEE14C4AE, 0x3FA6  // .3077953476682583606615438814166025592e-26  
+LOCAL_OBJECT_END(Poly_P)
+
+LOCAL_OBJECT_START(Poly_Q)
+data8 0xF76E3FD3C7680357, 0x3FF1  // .11798413344703621030038719253730708525e-3  
+data8 0xD107D2E7273263AE, 0x3FF7  // .63791065024872525660782716786703188820e-2  
+data8 0xB609BE5CDE206AEF, 0x3FFB  // .88885771950814004376363335821980079985e-1  
+data8 0xF7DEACAC28067C8A, 0x3FFD  // .48412074662702495416825113623936037072302  
+data8 0x8F9BE5890CEC7E38, 0x3FFF  // 1.1219450873557867470217771071068369729526  
+data8 0xED4F06F3D2BC92D1, 0x3FFE  // .92698710873331639524734537734804056798748  
+LOCAL_OBJECT_END(Poly_Q)
+
+// Q coeffs 
+LOCAL_OBJECT_START(Constants_Q)
+data4  0x00000000,0xB1721800,0x00003FFE,0x00000000 
+data4  0x4361C4C6,0x82E30865,0x0000BFE2,0x00000000
+data4  0x328833CB,0xCCCCCAF2,0x00003FFC,0x00000000
+data4  0xA9D4BAFB,0x80000077,0x0000BFFD,0x00000000
+data4  0xAAABE3D2,0xAAAAAAAA,0x00003FFD,0x00000000
+data4  0xFFFFDAB7,0xFFFFFFFF,0x0000BFFD,0x00000000 
+LOCAL_OBJECT_END(Constants_Q)
+
+// Z1 - 16 bit fixed
+LOCAL_OBJECT_START(Constants_Z_1)
+data4  0x00008000
+data4  0x00007879
+data4  0x000071C8
+data4  0x00006BCB
+data4  0x00006667
+data4  0x00006187
+data4  0x00005D18
+data4  0x0000590C
+data4  0x00005556
+data4  0x000051EC
+data4  0x00004EC5
+data4  0x00004BDB
+data4  0x00004925
+data4  0x0000469F
+data4  0x00004445
+data4  0x00004211
+LOCAL_OBJECT_END(Constants_Z_1)
+
+// G1 and H1 - IEEE single and h1 - IEEE double
+LOCAL_OBJECT_START(Constants_G_H_h1)
+data4  0x3F800000,0x00000000
+data8  0x0000000000000000
+data4  0x3F70F0F0,0x3D785196
+data8  0x3DA163A6617D741C
+data4  0x3F638E38,0x3DF13843
+data8  0x3E2C55E6CBD3D5BB
+data4  0x3F579430,0x3E2FF9A0
+data8  0xBE3EB0BFD86EA5E7
+data4  0x3F4CCCC8,0x3E647FD6
+data8  0x3E2E6A8C86B12760
+data4  0x3F430C30,0x3E8B3AE7
+data8  0x3E47574C5C0739BA
+data4  0x3F3A2E88,0x3EA30C68
+data8  0x3E20E30F13E8AF2F
+data4  0x3F321640,0x3EB9CEC8
+data8  0xBE42885BF2C630BD
+data4  0x3F2AAAA8,0x3ECF9927
+data8  0x3E497F3497E577C6
+data4  0x3F23D708,0x3EE47FC5
+data8  0x3E3E6A6EA6B0A5AB
+data4  0x3F1D89D8,0x3EF8947D
+data8  0xBDF43E3CD328D9BE
+data4  0x3F17B420,0x3F05F3A1
+data8  0x3E4094C30ADB090A
+data4  0x3F124920,0x3F0F4303
+data8  0xBE28FBB2FC1FE510
+data4  0x3F0D3DC8,0x3F183EBF
+data8  0x3E3A789510FDE3FA
+data4  0x3F088888,0x3F20EC80
+data8  0x3E508CE57CC8C98F
+data4  0x3F042108,0x3F29516A
+data8  0xBE534874A223106C
+LOCAL_OBJECT_END(Constants_G_H_h1)
+
+// Z2 - 16 bit fixed
+LOCAL_OBJECT_START(Constants_Z_2)
+data4  0x00008000
+data4  0x00007F81
+data4  0x00007F02
+data4  0x00007E85
+data4  0x00007E08
+data4  0x00007D8D
+data4  0x00007D12
+data4  0x00007C98
+data4  0x00007C20
+data4  0x00007BA8
+data4  0x00007B31
+data4  0x00007ABB
+data4  0x00007A45
+data4  0x000079D1
+data4  0x0000795D
+data4  0x000078EB
+LOCAL_OBJECT_END(Constants_Z_2)
+
+// G2 and H2 - IEEE single and h2 - IEEE double
+LOCAL_OBJECT_START(Constants_G_H_h2)
+data4  0x3F800000,0x00000000
+data8  0x0000000000000000
+data4  0x3F7F00F8,0x3B7F875D
+data8  0x3DB5A11622C42273
+data4  0x3F7E03F8,0x3BFF015B
+data8  0x3DE620CF21F86ED3
+data4  0x3F7D08E0,0x3C3EE393
+data8  0xBDAFA07E484F34ED
+data4  0x3F7C0FC0,0x3C7E0586
+data8  0xBDFE07F03860BCF6
+data4  0x3F7B1880,0x3C9E75D2
+data8  0x3DEA370FA78093D6
+data4  0x3F7A2328,0x3CBDC97A
+data8  0x3DFF579172A753D0
+data4  0x3F792FB0,0x3CDCFE47
+data8  0x3DFEBE6CA7EF896B
+data4  0x3F783E08,0x3CFC15D0
+data8  0x3E0CF156409ECB43
+data4  0x3F774E38,0x3D0D874D
+data8  0xBE0B6F97FFEF71DF
+data4  0x3F766038,0x3D1CF49B
+data8  0xBE0804835D59EEE8
+data4  0x3F757400,0x3D2C531D
+data8  0x3E1F91E9A9192A74
+data4  0x3F748988,0x3D3BA322
+data8  0xBE139A06BF72A8CD
+data4  0x3F73A0D0,0x3D4AE46F
+data8  0x3E1D9202F8FBA6CF
+data4  0x3F72B9D0,0x3D5A1756
+data8  0xBE1DCCC4BA796223
+data4  0x3F71D488,0x3D693B9D
+data8  0xBE049391B6B7C239
+LOCAL_OBJECT_END(Constants_G_H_h2)
+
+// G3 and H3 - IEEE single and h3 - IEEE double 
+LOCAL_OBJECT_START(Constants_G_H_h3)
+data4  0x3F7FFC00,0x38800100
+data8  0x3D355595562224CD
+data4  0x3F7FF400,0x39400480
+data8  0x3D8200A206136FF6
+data4  0x3F7FEC00,0x39A00640
+data8  0x3DA4D68DE8DE9AF0
+data4  0x3F7FE400,0x39E00C41
+data8  0xBD8B4291B10238DC
+data4  0x3F7FDC00,0x3A100A21
+data8  0xBD89CCB83B1952CA
+data4  0x3F7FD400,0x3A300F22
+data8  0xBDB107071DC46826
+data4  0x3F7FCC08,0x3A4FF51C
+data8  0x3DB6FCB9F43307DB
+data4  0x3F7FC408,0x3A6FFC1D
+data8  0xBD9B7C4762DC7872
+data4  0x3F7FBC10,0x3A87F20B
+data8  0xBDC3725E3F89154A
+data4  0x3F7FB410,0x3A97F68B
+data8  0xBD93519D62B9D392
+data4  0x3F7FAC18,0x3AA7EB86
+data8  0x3DC184410F21BD9D
+data4  0x3F7FA420,0x3AB7E101
+data8  0xBDA64B952245E0A6
+data4  0x3F7F9C20,0x3AC7E701
+data8  0x3DB4B0ECAABB34B8
+data4  0x3F7F9428,0x3AD7DD7B
+data8  0x3D9923376DC40A7E
+data4  0x3F7F8C30,0x3AE7D474
+data8  0x3DC6E17B4F2083D3
+data4  0x3F7F8438,0x3AF7CBED
+data8  0x3DAE314B811D4394
+data4  0x3F7F7C40,0x3B03E1F3
+data8  0xBDD46F21B08F2DB1
+data4  0x3F7F7448,0x3B0BDE2F
+data8  0xBDDC30A46D34522B
+data4  0x3F7F6C50,0x3B13DAAA
+data8  0x3DCB0070B1F473DB
+data4  0x3F7F6458,0x3B1BD766
+data8  0xBDD65DDC6AD282FD
+data4  0x3F7F5C68,0x3B23CC5C
+data8  0xBDCDAB83F153761A
+data4  0x3F7F5470,0x3B2BC997
+data8  0xBDDADA40341D0F8F
+data4  0x3F7F4C78,0x3B33C711
+data8  0x3DCD1BD7EBC394E8
+data4  0x3F7F4488,0x3B3BBCC6
+data8  0xBDC3532B52E3E695
+data4  0x3F7F3C90,0x3B43BAC0
+data8  0xBDA3961EE846B3DE
+data4  0x3F7F34A0,0x3B4BB0F4
+data8  0xBDDADF06785778D4
+data4  0x3F7F2CA8,0x3B53AF6D
+data8  0x3DCC3ED1E55CE212
+data4  0x3F7F24B8,0x3B5BA620
+data8  0xBDBA31039E382C15
+data4  0x3F7F1CC8,0x3B639D12
+data8  0x3D635A0B5C5AF197
+data4  0x3F7F14D8,0x3B6B9444
+data8  0xBDDCCB1971D34EFC
+data4  0x3F7F0CE0,0x3B7393BC
+data8  0x3DC7450252CD7ADA
+data4  0x3F7F04F0,0x3B7B8B6D
+data8  0xBDB68F177D7F2A42
+LOCAL_OBJECT_END(Constants_G_H_h3)
+
+// Assembly macros
+//==============================================================
+
+// Floating Point Registers
+
+FR_Arg          = f8
+FR_Res          = f8
+
+
+FR_PP0          = f32
+FR_PP1          = f33
+FR_PP2          = f34
+FR_PP3          = f35
+FR_PP4          = f36
+FR_PP5          = f37
+FR_QQ0          = f38
+FR_QQ1          = f39
+FR_QQ2          = f40
+FR_QQ3          = f41
+FR_QQ4          = f42
+FR_QQ5          = f43
+
+FR_Q1           = f44 
+FR_Q2           = f45 
+FR_Q3           = f46  
+FR_Q4           = f47 
+
+FR_Half         = f48
+FR_Two          = f49
+
+FR_log2_hi      = f50  
+FR_log2_lo      = f51  
+
+
+FR_X2           = f52
+FR_M2           = f53
+FR_M2L          = f54
+FR_Rcp          = f55
+FR_GG           = f56
+FR_HH           = f57
+FR_EE           = f58
+FR_DD           = f59
+FR_GL           = f60
+FR_Tmp          = f61
+
+
+FR_XM1          = f62
+FR_2XM1         = f63
+FR_XM12         = f64
+
+
+
+    // Special logl registers
+FR_XLog_Hi      = f65 
+FR_XLog_Lo      = f66 
+
+FR_Y_hi         = f67  
+FR_Y_lo         = f68
+
+FR_S_hi         = f69  
+FR_S_lo         = f70 
+
+FR_poly_lo      = f71
+FR_poly_hi      = f72
+
+FR_G            = f73
+FR_H            = f74
+FR_h            = f75
+
+FR_G2           = f76
+FR_H2           = f77
+FR_h2           = f78 
+
+FR_r            = f79  
+FR_rsq          = f80  
+FR_rcub         = f81 
+
+FR_float_N      = f82 
+
+FR_G3           = f83  
+FR_H3           = f84  
+FR_h3           = f85  
+
+FR_2_to_minus_N = f86 
+
+
+   // Near 1  registers
+FR_PP           = f65
+FR_QQ           = f66
+
+
+FR_PV6          = f69
+FR_PV4          = f70
+FR_PV3          = f71
+FR_PV2          = f72
+
+FR_QV6          = f73
+FR_QV4          = f74
+FR_QV3          = f75
+FR_QV2          = f76
+
+FR_Y0           = f77
+FR_Q0           = f78  
+FR_E0           = f79
+FR_E2           = f80
+FR_E1           = f81
+FR_Y1           = f82
+FR_E3           = f83
+FR_Y2           = f84
+FR_R0           = f85
+FR_E4           = f86
+FR_Y3           = f87
+FR_R1           = f88
+FR_X_Hi         = f89
+FR_X_lo         = f90
+
+FR_HH           = f91
+FR_LL           = f92
+FR_HL           = f93
+FR_LH           = f94
+
+
+
+	// Error handler registers
+FR_Arg_X        = f95
+FR_Arg_Y        = f0
+
+
+// General Purpose Registers
+
+    // General prolog registers
+GR_PFS          = r32
+GR_OneP125      = r33
+GR_TwoP63       = r34
+GR_Arg          = r35
+GR_Half         = r36
+
+    // Near 1 path registers
+GR_Poly_P       = r37
+GR_Poly_Q       = r38
+
+    // Special logl registers
+GR_Index1       = r39 
+GR_Index2       = r40 
+GR_signif       = r41 
+GR_X_0          = r42 
+GR_X_1          = r43 
+GR_X_2          = r44 
+GR_minus_N      = r45
+GR_Z_1          = r46 
+GR_Z_2          = r47 
+GR_N            = r48 
+GR_Bias         = r49 
+GR_M            = r50 
+GR_Index3       = r51 
+GR_exp_2tom80   = r52 
+GR_exp_mask     = r53 
+GR_exp_2tom7    = r54 
+GR_ad_ln10      = r55 
+GR_ad_tbl_1     = r56
+GR_ad_tbl_2     = r57
+GR_ad_tbl_3     = r58
+GR_ad_q         = r59
+GR_ad_z_1       = r60
+GR_ad_z_2       = r61
+GR_ad_z_3       = r62
+
+//
+// Added for unwind support
+//
+GR_SAVE_PFS         = r32
+GR_SAVE_B0          = r33
+GR_SAVE_GP          = r34
+
+GR_Parameter_X      = r64
+GR_Parameter_Y      = r65
+GR_Parameter_RESULT = r66
+GR_Parameter_TAG    = r67
+
+
+
+.section .text
+GLOBAL_LIBM_ENTRY(acoshl)
+
+{ .mfi
+      alloc      GR_PFS       = ar.pfs,0,32,4,0     // Local frame allocation
+      fcmp.lt.s1 p11, p0      = FR_Arg, f1          // if arg is less than 1
+      mov	     GR_Half      = 0xfffe              // 0.5's exp
+}
+{ .mfi
+      addl       GR_Poly_Q    = @ltoff(Poly_Q), gp  // Address of Q-coeff table
+      fma.s1     FR_X2        = FR_Arg, FR_Arg, f0  // Obtain x^2
+      addl       GR_Poly_P    = @ltoff(Poly_P), gp  // Address of P-coeff table
+};; 
+
+{ .mfi 
+      getf.d     GR_Arg       = FR_Arg        // get arument as double (int64)
+      fma.s0        FR_Two       = f1, f1, f1    // construct 2.0
+      addl       GR_ad_z_1    = @ltoff(Constants_Z_1#),gp // logl tables
+}
+{ .mlx 
+      nop.m 0  
+      movl       GR_TwoP63    = 0x43E8000000000000 // 0.5*2^63 (huge arguments)
+};; 
+
+{ .mfi 
+      ld8        GR_Poly_P    = [GR_Poly_P]  // get actual P-coeff table address
+      fcmp.eq.s1 p10, p0      = FR_Arg, f1   // if arg == 1 (return 0)
+      nop.i 0
+}
+{ .mlx   
+      ld8        GR_Poly_Q    = [GR_Poly_Q]  // get actual Q-coeff table address
+      movl       GR_OneP125   = 0x3FF2000000000000  // 1.125 (near 1 path bound)
+};;
+
+{ .mfi   
+      ld8        GR_ad_z_1    = [GR_ad_z_1]      // Get pointer to Constants_Z_1
+      fclass.m   p7,p0        = FR_Arg, 0xe3       // if arg NaN inf
+      cmp.le     p9, p0       = GR_TwoP63, GR_Arg // if arg > 0.5*2^63 ('huges')
+}
+{ .mfb
+      cmp.ge     p8, p0       = GR_OneP125, GR_Arg // if arg<1.125 -near 1 path
+	  fms.s1     FR_XM1       = FR_Arg, f1, f1     // X0 = X-1 (for near 1 path)
+(p11) br.cond.spnt acoshl_lt_pone                  // error branch (less than 1)
+};; 
+
+{ .mmi   
+      setf.exp	FR_Half       = GR_Half     // construct 0.5
+(p9)  setf.s    FR_XLog_Lo    = r0          // Low of logl arg=0 (Huges path)
+      mov        GR_exp_mask  = 0x1FFFF         // Create exponent mask
+};; 
+
+{ .mmf   
+(p8)  ldfe       FR_PP5       = [GR_Poly_P],16     // Load P5
+(p8)  ldfe       FR_QQ5       = [GR_Poly_Q],16     // Load Q5
+      fms.s1     FR_M2        = FR_X2, f1, f1      // m2 = x^2 - 1
+};;
+
+{ .mfi 
+(p8)  ldfe       FR_QQ4       = [GR_Poly_Q],16         // Load Q4
+      fms.s1     FR_M2L       = FR_Arg, FR_Arg, FR_X2  // low part of 
+	                                                   //    m2 = fma(X*X - m2)
+      add        GR_ad_tbl_1  = 0x040, GR_ad_z_1    // Point to Constants_G_H_h1
+}
+{ .mfb
+(p8)  ldfe       FR_PP4       = [GR_Poly_P],16     // Load P4 
+(p7)  fma.s0     FR_Res       = FR_Arg,f1,FR_Arg   // r = a + a (Nan, Inf)
+(p7)  br.ret.spnt b0                               // return    (Nan, Inf)
+};; 
+
+{ .mfi
+(p8)  ldfe       FR_PP3       = [GR_Poly_P],16      // Load P3
+      nop.f 0
+      add        GR_ad_q      = -0x60, GR_ad_z_1    // Point to Constants_P
+}
+{ .mfb
+(p8)  ldfe       FR_QQ3       = [GR_Poly_Q],16      // Load Q3
+(p9)  fms.s1 FR_XLog_Hi       = FR_Two, FR_Arg, f1  // Hi  of log arg = 2*X-1
+(p9)  br.cond.spnt huges_logl                       // special version of log
+}
+;; 
+
+{ .mfi   
+(p8)  ldfe       FR_PP2       = [GR_Poly_P],16       // Load P2
+(p8)  fma.s1     FR_2XM1      = FR_Two, FR_XM1, f0   // 2X0 = 2 * X0
+      add        GR_ad_z_2    = 0x140, GR_ad_z_1    // Point to Constants_Z_2
+}
+{ .mfb
+(p8)  ldfe       FR_QQ2       = [GR_Poly_Q],16       // Load Q2
+(p10) fma.s0   FR_Res         = f0,f1,f0             // r = 0  (arg = 1)
+(p10) br.ret.spnt b0                                 // return (arg = 1)       
+};; 
+
+{ .mmi 
+(p8)  ldfe       FR_PP1       = [GR_Poly_P],16       // Load P1
+(p8)  ldfe       FR_QQ1       = [GR_Poly_Q],16       // Load Q1
+      add        GR_ad_tbl_2  = 0x180, GR_ad_z_1    // Point to Constants_G_H_h2
+}
+;;
+
+{ .mfi   
+(p8)  ldfe       FR_PP0       = [GR_Poly_P]          // Load P0 
+      fma.s1     FR_Tmp       = f1, f1, FR_M2        // Tmp = 1 + m2
+      add        GR_ad_tbl_3  = 0x280, GR_ad_z_1    // Point to Constants_G_H_h3
+}
+{ .mfb
+(p8)  ldfe       FR_QQ0       = [GR_Poly_Q]
+      nop.f 0
+(p8)  br.cond.spnt near_1                            // near 1 path
+};; 
+{ .mfi   
+      ldfe       FR_log2_hi   = [GR_ad_q],16      // Load log2_hi
+      nop.f 0
+      mov        GR_Bias      = 0x0FFFF                  // Create exponent bias
+};;
+{ .mfi 
+      nop.m 0
+      frsqrta.s1 FR_Rcp, p0   = FR_M2           // Rcp = 1/m2 reciprocal appr.
+      nop.i 0
+};; 
+
+{ .mfi
+      ldfe       FR_log2_lo   = [GR_ad_q],16     // Load log2_lo
+      fms.s1     FR_Tmp       = FR_X2, f1, FR_Tmp  // Tmp =  x^2 - Tmp
+      nop.i 0
+};;
+
+{ .mfi
+      ldfe       FR_Q4        = [GR_ad_q],16          // Load Q4
+      fma.s1     FR_GG        = FR_Rcp, FR_M2, f0   // g = Rcp * m2
+                                               // 8 bit Newton Raphson iteration
+      nop.i 0
+}
+{ .mfi
+      nop.m 0  
+      fma.s1     FR_HH 		  = FR_Half, FR_Rcp, f0      // h = 0.5 * Rcp
+      nop.i 0
+};;
+{ .mfi
+      ldfe       FR_Q3        = [GR_ad_q],16   // Load Q3
+      fnma.s1    FR_EE        = FR_GG, FR_HH, FR_Half   // e = 0.5 - g * h
+      nop.i 0
+}
+{ .mfi
+      nop.m 0  
+      fma.s1     FR_M2L       = FR_Tmp, f1, FR_M2L  // low part of m2 = Tmp+m2l
+      nop.i 0
+};;
+
+{ .mfi
+      ldfe       FR_Q2        = [GR_ad_q],16      // Load Q2
+      fma.s1     FR_GG        = FR_GG, FR_EE, FR_GG     // g = g * e + g 
+                                              // 16 bit Newton Raphson iteration
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+      fma.s1     FR_HH        = FR_HH, FR_EE, FR_HH     // h = h * e + h
+      nop.i 0
+};;
+
+{ .mfi
+      ldfe       FR_Q1        = [GR_ad_q]                // Load Q1
+      fnma.s1    FR_EE        = FR_GG, FR_HH, FR_Half   // e = 0.5 - g * h
+      nop.i 0
+};;
+{ .mfi
+      nop.m 0
+      fma.s1    FR_GG         = FR_GG, FR_EE, FR_GG     // g = g * e + g 
+                                              // 32 bit Newton Raphson iteration
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+      fma.s1    FR_HH         = FR_HH, FR_EE, FR_HH     // h = h * e + h
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      fnma.s1   FR_EE         = FR_GG, FR_HH, FR_Half   // e = 0.5 - g * h
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      fma.s1    FR_GG         = FR_GG, FR_EE, FR_GG     // g = g * e + g 
+                                              // 64 bit Newton Raphson iteration
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+      fma.s1    FR_HH         = FR_HH, FR_EE, FR_HH     // h = h * e + h
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      fnma.s1   FR_DD         = FR_GG, FR_GG, FR_M2  // Remainder d = g * g - p2
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+      fma.s1    FR_XLog_Hi     = FR_Arg, f1, FR_GG // bh = z + gh
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      fma.s1    FR_DD         = FR_DD, f1, FR_M2L       // add p2l: d = d + p2l
+      nop.i 0
+};;
+
+{ .mfi
+      getf.sig  GR_signif     = FR_XLog_Hi     // Get significand of x+1
+      nop.f 0
+      mov       GR_exp_2tom7  = 0x0fff8        // Exponent of 2^-7
+};;
+
+{ .mfi
+      nop.m 0
+      fma.s1    FR_GL         = FR_DD, FR_HH, f0        // gl = d * h
+      extr.u    GR_Index1     = GR_signif, 59, 4    // Get high 4 bits of signif
+}
+{ .mfi
+      nop.m 0
+      fma.s1    FR_XLog_Hi     = FR_DD,  FR_HH, FR_XLog_Hi // bh = bh + gl
+      nop.i 0
+};;
+
+
+
+{ .mmi
+      shladd    GR_ad_z_1     = GR_Index1, 2, GR_ad_z_1  // Point to Z_1
+      shladd    GR_ad_tbl_1   = GR_Index1, 4, GR_ad_tbl_1  // Point to G_1
+      extr.u    GR_X_0        = GR_signif, 49, 15 // Get high 15 bits of signif.
+};;
+
+{ .mmi
+      ld4       GR_Z_1        = [GR_ad_z_1]    // Load Z_1
+      nop.m 0
+      nop.i 0
+};;
+
+{ .mmi
+      ldfps     FR_G, FR_H    = [GR_ad_tbl_1],8     // Load G_1, H_1
+      nop.m 0
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      fms.s1    FR_XLog_Lo     = FR_Arg,  f1,   FR_XLog_Hi // bl = x - bh
+      pmpyshr2.u GR_X_1       = GR_X_0,GR_Z_1,15  // Get bits 30-15 of X_0 * Z_1
+};;
+
+// WE CANNOT USE GR_X_1 IN NEXT 3 CYCLES BECAUSE OF POSSIBLE 10 CLOCKS STALL!
+// "DEAD" ZONE!
+
+{ .mfi
+      nop.m 0
+      nop.f 0
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      fmerge.se FR_S_hi       =  f1,FR_XLog_Hi            // Form |x+1|
+      nop.i 0
+};;
+
+
+{ .mmi
+      getf.exp  GR_N          =  FR_XLog_Hi    // Get N = exponent of x+1
+      ldfd      FR_h          = [GR_ad_tbl_1]        // Load h_1
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      nop.f 0
+      extr.u    GR_Index2     = GR_X_1, 6, 4      // Extract bits 6-9 of X_1 
+};;
+
+{ .mfi
+      shladd    GR_ad_tbl_2   = GR_Index2, 4, GR_ad_tbl_2  // Point to G_2
+      fma.s1    FR_XLog_Lo    = FR_XLog_Lo, f1, FR_GG // bl = bl + gg
+      mov       GR_exp_2tom80 = 0x0ffaf           // Exponent of 2^-80
+}
+{ .mfi
+      shladd    GR_ad_z_2     = GR_Index2, 2, GR_ad_z_2  // Point to Z_2
+      nop.f 0
+      sub       GR_N          = GR_N, GR_Bias // sub bias from exp
+};;
+
+{ .mmi
+      ldfps     FR_G2, FR_H2  = [GR_ad_tbl_2],8       // Load G_2, H_2
+      ld4       GR_Z_2        = [GR_ad_z_2]                // Load Z_2
+      sub       GR_minus_N    = GR_Bias, GR_N         // Form exponent of 2^(-N)
+};;
+
+{ .mmi
+      ldfd      FR_h2         = [GR_ad_tbl_2]             // Load h_2
+      nop.m 0
+      nop.i 0
+};;
+
+{ .mmi
+      setf.sig  FR_float_N    = GR_N        // Put integer N into rightmost sign
+      setf.exp  FR_2_to_minus_N = GR_minus_N   // Form 2^(-N)
+      pmpyshr2.u GR_X_2       = GR_X_1,GR_Z_2,15 // Get bits 30-15 of X_1 * Z_2
+};;
+
+// WE CANNOT USE GR_X_2 IN NEXT 3 CYCLES ("DEAD" ZONE!) 
+// BECAUSE OF POSSIBLE 10 CLOCKS STALL!
+// (Just nops added - nothing to do here)
+
+{ .mfi
+      nop.m 0
+      fma.s1    FR_XLog_Lo     = FR_XLog_Lo, f1, FR_GL // bl = bl + gl
+      nop.i 0
+};;
+{ .mfi
+      nop.m 0
+      nop.f 0
+      nop.i 0
+};;
+{ .mfi
+      nop.m 0
+      nop.f 0
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      nop.f 0
+      extr.u    GR_Index3     = GR_X_2, 1, 5         // Extract bits 1-5 of X_2
+};;
+
+{ .mfi
+      shladd    GR_ad_tbl_3   = GR_Index3, 4, GR_ad_tbl_3  // Point to G_3
+      nop.f 0
+      nop.i 0
+};;
+
+{ .mfi
+      ldfps     FR_G3, FR_H3  = [GR_ad_tbl_3],8   // Load G_3, H_3
+      nop.f 0
+      nop.i 0
+};;
+
+{ .mfi
+      ldfd      FR_h3         = [GR_ad_tbl_3]            // Load h_3
+	  fcvt.xf   FR_float_N    = FR_float_N
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      fmpy.s1   FR_G          = FR_G, FR_G2              // G = G_1 * G_2
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+      fadd.s1   FR_H          = FR_H, FR_H2              // H = H_1 + H_2
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      fadd.s1   FR_h          = FR_h, FR_h2              // h = h_1 + h_2
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+      fma.s1    FR_S_lo     = FR_XLog_Lo, FR_2_to_minus_N, f0 //S_lo=S_lo*2^(-N)
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      fmpy.s1   FR_G          = FR_G, FR_G3             // G = (G_1 * G_2) * G_3
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+      fadd.s1   FR_H          = FR_H, FR_H3             // H = (H_1 + H_2) + H_3
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      fadd.s1   FR_h          = FR_h, FR_h3             // h = (h_1 + h_2) + h_3
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      fms.s1    FR_r          = FR_G, FR_S_hi, f1           // r = G * S_hi - 1
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+      fma.s1    FR_Y_hi       = FR_float_N, FR_log2_hi, FR_H // Y_hi=N*log2_hi+H
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      fma.s1    FR_h          = FR_float_N, FR_log2_lo, FR_h  // h=N*log2_lo+h
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+      fma.s1    FR_r          = FR_G, FR_S_lo, FR_r  // r=G*S_lo+(G*S_hi-1)
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      fma.s1    FR_poly_lo    = FR_r, FR_Q4, FR_Q3      // poly_lo = r * Q4 + Q3
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+      fmpy.s1   FR_rsq        = FR_r, FR_r              // rsq = r * r
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      fma.s1    FR_poly_lo    = FR_poly_lo, FR_r, FR_Q2 // poly_lo=poly_lo*r+Q2
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+      fma.s1    FR_rcub       = FR_rsq, FR_r, f0        // rcub = r^3
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      fma.s1    FR_poly_hi    = FR_Q1, FR_rsq, FR_r // poly_hi = Q1*rsq + r
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      fma.s1    FR_poly_lo    = FR_poly_lo, FR_rcub, FR_h//poly_lo=poly_lo*r^3+h
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      fadd.s0   FR_Y_lo       = FR_poly_hi, FR_poly_lo  
+	                                                     // Y_lo=poly_hi+poly_lo
+      nop.i 0
+};;
+
+{ .mfb
+      nop.m 0
+      fadd.s0   FR_Res        = FR_Y_lo,FR_Y_hi    // Result=Y_lo+Y_hi
+      br.ret.sptk   b0                         // Common exit for 2^-7 < x < inf
+};;
+
+
+huges_logl:
+{ .mmi
+      getf.sig   GR_signif    = FR_XLog_Hi               // Get significand of x+1
+      mov        GR_exp_2tom7 = 0x0fff8            // Exponent of 2^-7
+      nop.i 0
+};;
+
+{ .mfi
+      add        GR_ad_tbl_1  = 0x040, GR_ad_z_1    // Point to Constants_G_H_h1
+      nop.f 0
+      add        GR_ad_q      = -0x60, GR_ad_z_1    // Point to Constants_P
+}
+{ .mfi
+      add        GR_ad_z_2    = 0x140, GR_ad_z_1    // Point to Constants_Z_2
+      nop.f 0
+      add        GR_ad_tbl_2  = 0x180, GR_ad_z_1    // Point to Constants_G_H_h2
+};;
+
+{ .mfi
+      add        GR_ad_tbl_3  = 0x280, GR_ad_z_1    // Point to Constants_G_H_h3
+      nop.f 0
+      extr.u     GR_Index1    = GR_signif, 59, 4    // Get high 4 bits of signif
+};;
+
+{ .mfi
+      shladd     GR_ad_z_1    = GR_Index1, 2, GR_ad_z_1  // Point to Z_1
+      nop.f 0
+      extr.u     GR_X_0       = GR_signif, 49, 15 // Get high 15 bits of signif.
+};;
+
+{ .mfi
+      ld4        GR_Z_1       = [GR_ad_z_1]     // Load Z_1
+      nop.f 0
+      mov        GR_exp_mask  = 0x1FFFF         // Create exponent mask
+}
+{ .mfi
+      shladd     GR_ad_tbl_1  = GR_Index1, 4, GR_ad_tbl_1 // Point to G_1
+      nop.f 0
+      mov        GR_Bias      = 0x0FFFF                  // Create exponent bias
+};;
+
+{ .mfi
+      ldfps      FR_G, FR_H   = [GR_ad_tbl_1],8     // Load G_1, H_1
+      fmerge.se  FR_S_hi      =  f1,FR_XLog_Hi            // Form |x|
+      nop.i 0
+};;
+
+{ .mmi
+      getf.exp   GR_N         =  FR_XLog_Hi         // Get N = exponent of x+1
+      ldfd       FR_h         = [GR_ad_tbl_1] // Load h_1
+      nop.i 0
+};;
+
+{ .mfi
+      ldfe       FR_log2_hi   = [GR_ad_q],16      // Load log2_hi
+      nop.f 0
+      pmpyshr2.u GR_X_1       = GR_X_0,GR_Z_1,15  // Get bits 30-15 of X_0 * Z_1
+};;
+
+{ .mmi
+      ldfe       FR_log2_lo   = [GR_ad_q],16     // Load log2_lo
+      sub        GR_N         = GR_N, GR_Bias 
+      mov        GR_exp_2tom80 = 0x0ffaf         // Exponent of 2^-80
+};;
+
+{ .mfi
+      ldfe       FR_Q4        = [GR_ad_q],16          // Load Q4
+      nop.f 0
+      sub        GR_minus_N   = GR_Bias, GR_N         // Form exponent of 2^(-N)
+};;
+
+{ .mmf
+      ldfe       FR_Q3        = [GR_ad_q],16   // Load Q3
+      setf.sig   FR_float_N   = GR_N        // Put integer N into rightmost sign
+      nop.f 0
+};;
+
+{ .mmi
+      ldfe       FR_Q2        = [GR_ad_q],16      // Load Q2
+	  nop.m 0
+      extr.u     GR_Index2    = GR_X_1, 6, 4      // Extract bits 6-9 of X_1 
+};;
+
+{ .mmi
+      ldfe       FR_Q1        = [GR_ad_q]                // Load Q1
+      shladd     GR_ad_z_2    = GR_Index2, 2, GR_ad_z_2  // Point to Z_2
+      nop.i 0
+};;
+
+{ .mmi
+      ld4        GR_Z_2       = [GR_ad_z_2]                // Load Z_2
+      shladd     GR_ad_tbl_2  = GR_Index2, 4, GR_ad_tbl_2  // Point to G_2
+	  nop.i 0
+};;
+
+{ .mmi
+      ldfps      FR_G2, FR_H2 = [GR_ad_tbl_2],8       // Load G_2, H_2
+      nop.m 0
+      nop.i 0
+};;
+
+{ .mmf
+      ldfd       FR_h2        = [GR_ad_tbl_2]         // Load h_2
+      setf.exp FR_2_to_minus_N = GR_minus_N   // Form 2^(-N)
+      nop.f 0
+};;
+
+{ .mfi
+      nop.m 0
+      nop.f 0
+      pmpyshr2.u GR_X_2       = GR_X_1,GR_Z_2,15   // Get bits 30-15 of X_1*Z_2
+};;
+
+// WE CANNOT USE GR_X_2 IN NEXT 3 CYCLES ("DEAD" ZONE!) 
+// BECAUSE OF POSSIBLE 10 CLOCKS STALL!
+// (Just nops added - nothing to do here)
+
+{ .mfi
+      nop.m 0
+      nop.f 0
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      nop.f 0
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      nop.f 0
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      nop.f 0
+      extr.u     GR_Index3    = GR_X_2, 1, 5          // Extract bits 1-5 of X_2
+};;
+
+{ .mfi
+      shladd     GR_ad_tbl_3  = GR_Index3, 4, GR_ad_tbl_3  // Point to G_3
+	  fcvt.xf    FR_float_N   = FR_float_N
+      nop.i 0
+};;
+
+{ .mfi
+      ldfps      FR_G3, FR_H3 = [GR_ad_tbl_3],8   // Load G_3, H_3
+      nop.f 0
+      nop.i 0
+};;
+
+{ .mfi
+      ldfd       FR_h3        = [GR_ad_tbl_3]            // Load h_3
+      fmpy.s1    FR_G         = FR_G, FR_G2              // G = G_1 * G_2
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+      fadd.s1    FR_H         = FR_H, FR_H2              // H = H_1 + H_2
+      nop.i 0
+};;
+
+{ .mmf
+      nop.m 0
+      nop.m 0
+      fadd.s1    FR_h         = FR_h, FR_h2              // h = h_1 + h_2
+};;
+
+{ .mfi
+      nop.m 0
+      fmpy.s1    FR_G         = FR_G, FR_G3              // G = (G_1 * G_2)*G_3
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+      fadd.s1    FR_H         = FR_H, FR_H3              // H = (H_1 + H_2)+H_3
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      fadd.s1    FR_h         = FR_h, FR_h3            // h = (h_1 + h_2) + h_3
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      fms.s1     FR_r         = FR_G, FR_S_hi, f1           // r = G * S_hi - 1
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+      fma.s1     FR_Y_hi      = FR_float_N, FR_log2_hi, FR_H // Y_hi=N*log2_hi+H
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      fma.s1     FR_h         = FR_float_N, FR_log2_lo, FR_h  // h = N*log2_lo+h
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      fma.s1     FR_poly_lo   = FR_r, FR_Q4, FR_Q3      // poly_lo = r * Q4 + Q3
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+      fmpy.s1    FR_rsq       = FR_r, FR_r              // rsq = r * r
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      fma.s1     FR_poly_lo   = FR_poly_lo, FR_r, FR_Q2 // poly_lo=poly_lo*r+Q2
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+      fma.s1     FR_rcub      = FR_rsq, FR_r, f0        // rcub = r^3
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      fma.s1     FR_poly_hi   = FR_Q1, FR_rsq, FR_r     // poly_hi = Q1*rsq + r
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      fma.s1     FR_poly_lo   = FR_poly_lo, FR_rcub, FR_h//poly_lo=poly_lo*r^3+h
+      nop.i 0
+};;
+{ .mfi
+      nop.m 0
+      fadd.s0    FR_Y_lo      = FR_poly_hi, FR_poly_lo  // Y_lo=poly_hi+poly_lo 
+      nop.i 0
+};;
+{ .mfb
+      nop.m 0
+      fadd.s0    FR_Res       = FR_Y_lo,FR_Y_hi    // Result=Y_lo+Y_hi
+      br.ret.sptk   b0                        // Common exit
+};;
+
+
+// NEAR ONE INTERVAL
+near_1:
+{ .mfi 
+      nop.m 0  
+      frsqrta.s1 FR_Rcp, p0   = FR_2XM1 // Rcp = 1/x reciprocal appr. &SQRT&
+      nop.i 0  
+};;
+
+{ .mfi 
+      nop.m 0  
+      fma.s1     FR_PV6       = FR_PP5, FR_XM1, FR_PP4 // pv6 = P5*xm1+P4 $POLY$
+      nop.i 0  
+}
+{ .mfi
+      nop.m 0  
+	  fma.s1     FR_QV6       = FR_QQ5, FR_XM1, FR_QQ4 // qv6 = Q5*xm1+Q4 $POLY$
+      nop.i 0  
+};;
+
+{ .mfi 
+      nop.m 0  
+	  fma.s1     FR_PV4       = FR_PP3, FR_XM1, FR_PP2 // pv4 = P3*xm1+P2 $POLY$
+      nop.i 0  
+}
+{ .mfi
+      nop.m 0  
+	  fma.s1     FR_QV4       = FR_QQ3, FR_XM1, FR_QQ2 // qv4 = Q3*xm1+Q2 $POLY$
+      nop.i 0  
+};;
+
+{ .mfi 
+      nop.m 0  
+	  fma.s1     FR_XM12      = FR_XM1, FR_XM1, f0 // xm1^2 = xm1 * xm1 $POLY$
+      nop.i 0  
+};;
+
+{ .mfi 
+      nop.m 0  
+	  fma.s1     FR_PV2       = FR_PP1, FR_XM1, FR_PP0 // pv2 = P1*xm1+P0 $POLY$
+      nop.i 0  
+}
+{ .mfi
+      nop.m 0  
+	  fma.s1     FR_QV2       = FR_QQ1, FR_XM1, FR_QQ0 // qv2 = Q1*xm1+Q0 $POLY$
+      nop.i 0  
+};;
+
+{ .mfi 
+      nop.m 0  
+      fma.s1     FR_GG        = FR_Rcp, FR_2XM1, f0 // g = Rcp * x &SQRT&                
+      nop.i 0  
+}
+{ .mfi
+      nop.m 0  
+      fma.s1     FR_HH        = FR_Half, FR_Rcp, f0 // h = 0.5 * Rcp &SQRT&
+      nop.i 0  
+};;
+
+
+{ .mfi 
+      nop.m 0  
+	  fma.s1    FR_PV3       = FR_XM12, FR_PV6, FR_PV4//pv3=pv6*xm1^2+pv4 $POLY$
+      nop.i 0  
+}
+{ .mfi
+      nop.m 0  
+	  fma.s1    FR_QV3       = FR_XM12, FR_QV6, FR_QV4//qv3=qv6*xm1^2+qv4 $POLY$
+      nop.i 0  
+};;
+
+
+{ .mfi 
+      nop.m 0  
+      fnma.s1   FR_EE        = FR_GG, FR_HH, FR_Half   // e = 0.5 - g * h &SQRT&
+      nop.i 0  
+};;
+
+{ .mfi 
+      nop.m 0  
+	  fma.s1    FR_PP        = FR_XM12, FR_PV3, FR_PV2 //pp=pv3*xm1^2+pv2 $POLY$
+      nop.i 0  
+}
+{ .mfi
+      nop.m 0  
+	  fma.s1    FR_QQ        = FR_XM12, FR_QV3, FR_QV2 //qq=qv3*xm1^2+qv2 $POLY$
+      nop.i 0  
+};;
+
+{ .mfi
+      nop.m 0  
+      fma.s1     FR_GG        = FR_GG, FR_EE, FR_GG  // g = g * e + g &SQRT&
+      nop.i 0  
+}
+{ .mfi
+      nop.m 0  
+      fma.s1     FR_HH        = FR_HH, FR_EE, FR_HH  // h = h * e + h &SQRT&
+      nop.i 0  
+};;
+
+{ .mfi
+      nop.m 0  
+      frcpa.s1   FR_Y0,p0     = f1,FR_QQ // y = frcpa(b)  #DIV#
+      nop.i 0  
+}
+{ .mfi
+      nop.m 0  
+      fnma.s1    FR_EE        = FR_GG, FR_HH, FR_Half // e = 0.5 - g*h &SQRT&
+      nop.i 0  
+};;
+
+{ .mfi
+      nop.m 0  
+      fma.s1     FR_Q0        = FR_PP,FR_Y0,f0 // q = a*y  #DIV#
+      nop.i 0  
+}
+{ .mfi
+      nop.m 0  
+      fnma.s1    FR_E0        = FR_Y0,FR_QQ,f1 // e = 1 - b*y  #DIV#
+      nop.i 0  
+};;
+
+{ .mfi
+      nop.m 0  
+      fma.s1     FR_GG        = FR_GG, FR_EE, FR_GG // g = g * e + g &SQRT&             
+      nop.i 0  
+}
+{ .mfi
+      nop.m 0  
+      fma.s1     FR_HH        = FR_HH, FR_EE, FR_HH // h = h * e + h &SQRT&
+      nop.i 0  
+};;
+
+{ .mfi
+      nop.m 0  
+      fma.s1     FR_E2        = FR_E0,FR_E0,FR_E0 // e2 = e+e^2 #DIV#
+      nop.i 0  
+}
+{ .mfi
+      nop.m 0  
+      fma.s1     FR_E1        = FR_E0,FR_E0,f0 // e1 = e^2 #DIV#
+      nop.i 0  
+};;
+
+{ .mfi
+      nop.m 0  
+      fnma.s1   FR_EE        = FR_GG, FR_HH, FR_Half   // e = 0.5 - g * h &SQRT&
+      nop.i 0  
+}
+{ .mfi
+      nop.m 0  
+	  fnma.s1   FR_DD        = FR_GG, FR_GG, FR_2XM1   // d = x - g * g &SQRT&
+      nop.i 0  
+};;
+
+{ .mfi
+      nop.m 0  
+      fma.s1     FR_Y1        = FR_Y0,FR_E2,FR_Y0 // y1 = y+y*e2 #DIV#
+      nop.i 0  
+}
+{ .mfi
+      nop.m 0  
+      fma.s1     FR_E3        = FR_E1,FR_E1,FR_E0 // e3 = e+e1^2 #DIV#
+      nop.i 0  
+};;
+
+{ .mfi
+      nop.m 0  
+      fma.s1     FR_GG        = FR_DD, FR_HH, FR_GG // g = d * h + g &SQRT&
+      nop.i 0  
+}
+{ .mfi
+      nop.m 0  
+      fma.s1     FR_HH        = FR_HH, FR_EE, FR_HH // h = h * e + h &SQRT&
+      nop.i 0  
+};;
+
+{ .mfi
+      nop.m 0  
+      fma.s1     FR_Y2        = FR_Y1,FR_E3,FR_Y0 // y2 = y+y1*e3 #DIV#
+      nop.i 0  
+}
+{ .mfi
+      nop.m 0  
+      fnma.s1    FR_R0        = FR_QQ,FR_Q0,FR_PP // r = a-b*q #DIV#
+      nop.i 0  
+};;
+
+{ .mfi
+      nop.m 0  
+      fnma.s1    FR_DD        = FR_GG, FR_GG, FR_2XM1 // d = x - g * g &SQRT&             
+      nop.i 0  
+};;
+
+{ .mfi
+      nop.m 0  
+      fnma.s1    FR_E4        = FR_QQ,FR_Y2,f1    // e4 = 1-b*y2 #DIV#
+      nop.i 0  
+}
+{ .mfi
+      nop.m 0  
+      fma.s1     FR_X_Hi      = FR_R0,FR_Y2,FR_Q0 // x = q+r*y2 #DIV#
+      nop.i 0  
+};;
+
+{ .mfi
+      nop.m 0  
+      fma.s1     FR_GL        = FR_DD, FR_HH, f0   // gl = d * h &SQRT&
+      nop.i 0  
+};;
+
+{ .mfi
+      nop.m 0  
+      fma.s1     FR_Y3        = FR_Y2,FR_E4,FR_Y2 // y3 = y2+y2*e4 #DIV#
+      nop.i 0  
+}
+{ .mfi
+      nop.m 0  
+      fnma.s1    FR_R1        = FR_QQ,FR_X_Hi,FR_PP // r1 = a-b*x #DIV#
+      nop.i 0  
+};;
+
+{ .mfi
+      nop.m 0  
+      fma.s1     FR_HH        = FR_GG, FR_X_Hi, f0 // hh = gg * x_hi
+      nop.i 0  
+}
+{ .mfi
+      nop.m 0  
+      fma.s1     FR_LH        = FR_GL, FR_X_Hi, f0 // lh = gl * x_hi
+      nop.i 0  
+};;
+
+{ .mfi
+      nop.m 0  
+      fma.s1     FR_X_lo      = FR_R1,FR_Y3,f0 // x_lo = r1*y3 #DIV#
+      nop.i 0  
+};;
+
+{ .mfi
+      nop.m 0  
+      fma.s1     FR_LL        = FR_GL, FR_X_lo, f0 // ll = gl*x_lo
+      nop.i 0  
+}
+{ .mfi
+      nop.m 0  
+      fma.s1     FR_HL        = FR_GG, FR_X_lo, f0 // hl = gg * x_lo
+      nop.i 0  
+};;
+
+{ .mfi
+      nop.m 0  
+	  fms.s1     FR_Res       = FR_GL,  f1, FR_LL // res = gl + ll
+      nop.i 0  
+};;
+
+{ .mfi
+      nop.m 0  
+	  fms.s1     FR_Res       = FR_Res, f1, FR_LH // res = res + lh
+      nop.i 0  
+};;
+
+{ .mfi
+      nop.m 0  
+	  fms.s1     FR_Res       = FR_Res, f1, FR_HL // res = res + hl
+      nop.i 0  
+};;
+
+{ .mfi
+      nop.m 0  
+	  fms.s1     FR_Res       = FR_Res, f1, FR_HH // res = res + hh
+      nop.i 0  
+};;
+
+{ .mfb
+      nop.m 0  
+	  fma.s0     FR_Res       = FR_Res, f1, FR_GG  // result = res + gg
+      br.ret.sptk   b0                     // Exit for near 1 path
+};;
+// NEAR ONE INTERVAL END
+
+
+
+
+acoshl_lt_pone:
+{ .mfi
+      nop.m 0  
+      fmerge.s   FR_Arg_X            = FR_Arg, FR_Arg
+      nop.i 0  
+};;
+{ .mfb
+      mov        GR_Parameter_TAG    = 135
+      frcpa.s0   FR_Res,p0           = f0,f0 // get QNaN,and raise invalid
+      br.cond.sptk  __libm_error_region      // exit if x < 1.0
+};;
+
+GLOBAL_LIBM_END(acoshl)
+
+
+LOCAL_LIBM_ENTRY(__libm_error_region)
+.prologue
+{ .mfi
+        add      GR_Parameter_Y      = -32,sp        // Parameter 2 value
+        nop.f 0
+.save   ar.pfs,GR_SAVE_PFS
+        mov      GR_SAVE_PFS         = ar.pfs        // Save ar.pfs
+}
+{ .mfi
+.fframe 64
+        add      sp                  = -64,sp        // Create new stack
+        nop.f 0
+        mov      GR_SAVE_GP          = gp            // Save gp
+};;
+
+{ .mmi
+        stfe     [GR_Parameter_Y]    = FR_Arg_Y,16   // Parameter 2 to stack
+        add      GR_Parameter_X      = 16,sp         // Parameter 1 address
+.save   b0,GR_SAVE_B0
+        mov      GR_SAVE_B0          = b0            // Save b0
+};;
+
+.body
+{ .mib
+        stfe     [GR_Parameter_X]    = FR_Arg_X         // Parameter 1 to stack
+        add      GR_Parameter_RESULT = 0,GR_Parameter_Y // Parameter 3 address
+        nop.b 0                                 
+}
+{ .mib
+        stfe     [GR_Parameter_Y]    = FR_Res        // Parameter 3 to stack
+        add      GR_Parameter_Y      = -16,GR_Parameter_Y
+        br.call.sptk b0 = __libm_error_support#      // Error handling function
+};;
+
+{ .mmi
+        nop.m 0
+        nop.m 0
+        add      GR_Parameter_RESULT = 48,sp
+};;
+
+{ .mmi
+        ldfe     f8                  = [GR_Parameter_RESULT]  // Get return res
+.restore sp
+        add      sp                  = 64,sp       // Restore stack pointer
+        mov      b0                  = GR_SAVE_B0  // Restore return address
+};;
+
+{ .mib
+        mov      gp                  = GR_SAVE_GP  // Restore gp
+        mov      ar.pfs              = GR_SAVE_PFS // Restore ar.pfs
+        br.ret.sptk b0                             // Return
+};;
+
+LOCAL_LIBM_END(__libm_error_region#)
+
+.type   __libm_error_support#,@function
+.global __libm_error_support#
+
+
+
+
diff --git a/sysdeps/ia64/fpu/e_acosl.S b/sysdeps/ia64/fpu/e_acosl.S
index ab1bbf41a7..daa75b18a5 100644
--- a/sysdeps/ia64/fpu/e_acosl.S
+++ b/sysdeps/ia64/fpu/e_acosl.S
@@ -1,10 +1,10 @@
 .file "acosl.s"
 
-// Copyright (C) 2000, 2001, Intel Corporation
+
+// Copyright (c) 2001 - 2003, Intel Corporation
 // All rights reserved.
-// 
-// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story,
-// and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation.
+//
+// Contributed 2001 by the Intel Numerics Group, Intel Corporation
 //
 // Redistribution and use in source and binary forms, with or without
 // modification, are permitted provided that the following conditions are
@@ -20,1027 +20,2469 @@
 // * The name of Intel Corporation may not be used to endorse or promote
 // products derived from this software without specific prior written
 // permission.
-//
-// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
-// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
-// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS 
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
 // CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
-// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, 
-// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 
-// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY 
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
 // OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
-// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 
-// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 
-// 
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+//
 // Intel Corporation is the author of this code, and requests that all
-// problem reports or change requests be submitted to it directly at 
-// http://developer.intel.com/opensource.
+// problem reports or change requests be submitted to it directly at
+// http: //www.intel.com/software/products/opensource/libraries/num.htm.
 //
 // History
 //==============================================================
-// 2/02/00  Initial version 
-// 2/07/00  Modified calculation of acos_corr to correct acosl
-// 4/04/00  Unwind support added
-// 8/15/00  Bundle added after call to __libm_error_support to properly
-//          set [the previously overwritten] GR_Parameter_RESULT.
-// 12/20/00 Set denormal flag properly.
+// 08/28/01 New version
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 02/06/03 Reordered header: .section, .global, .proc, .align
 //
 // API
 //==============================================================
-// double-extended = acosl (double-extended)
-// input  floating point f8
-// output floating point f8
+// long double acosl(long double)
 //
-// Registers used
+// Overview of operation
 //==============================================================
+// Background
 //
-// predicate registers used:
-// p6 -> p12
+// Implementation
 //
-// floating-point registers used:
-// f8 has input, then output
-// f8 -> f15, f32 ->f99
+// For |s| in [2^{-4}, sqrt(2)/2]:
+// Let t= 2^k*1.b1 b2..b6 1, where s= 2^k*1.b1 b2.. b52
+// acos(s)= pi/2-asin(t)-asin(r), where r= s*sqrt(1-t^2)-t*sqrt(1-s^2), i.e.
+// r= (s-t)*sqrt(1-t^2)-t*sqrt(1-t^2)*(sqrt((1-s^2)/(1-t^2))-1)
+// asin(r)-r evaluated as 9-degree polynomial (c3*r^3+c5*r^5+c7*r^7+c9*r^9)
+// The 64-bit significands of sqrt(1-t^2), 1/(1-t^2) are read from the table,
+// along with the high and low parts of asin(t) (stored as two double precision
+// values)
 //
-// general registers used:
-// r32 -> r48
+// |s| in (sqrt(2)/2, sqrt(255/256)):
+// Let t= 2^k*1.b1 b2..b6 1, where (1-s^2)*frsqrta(1-s^2)= 2^k*1.b1 b2..b6..
+// acos(|s|)= asin(t)-asin(r)
+// acos(-|s|)=pi-asin(t)+asin(r),   r= s*t-sqrt(1-s^2)*sqrt(1-t^2)
+// To minimize accumulated errors, r is computed as
+// r= (t*s)_s-t^2*y*z+z*y*(t^2-1+s^2)_s+z*y*(1-s^2)_s*x+z'*y*(1-s^2)*PS29+
+// +(t*s-(t*s)_s)+z*y*((t^2-1-(t^2-1+s^2)_s)+s^2)+z*y*(1-s^2-(1-s^2)_s)+
+// +ez*z'*y*(1-s^2)*(1-x),
+// where y= frsqrta(1-s^2), z= (sqrt(1-t^2))_s (rounded to 24 significant bits)
+// z'= sqrt(1-t^2), x= ((1-s^2)*y^2-1)/2
+//
+// |s|<2^{-4}: evaluate asin(s) as 17-degree polynomial, return pi/2-asin(s)
+// (or simply return pi/2-s, if|s|<2^{-64})
+//
+// |s| in [sqrt(255/256), 1): acos(|s|)= asin(sqrt(1-s^2))
+// acos(-|s|)= pi-asin(sqrt(1-s^2))
+// use 17-degree polynomial for asin(sqrt(1-s^2)),
+// 9-degree polynomial to evaluate sqrt(1-s^2)
+// High order term is (pi)_high-(y*(1-s^2))_high, for s<0,
+// or y*(1-s^2)_s, for s>0
 //
-// Overview of operation
-//==============================================================
-// There are three paths
-// 1. |x| < 2^-25                 ACOS_TINY
-// 2. 2^-25 <= |x| < 1/4          ACOS_POLY
-// 3. 1/4 <= |x| < 1              ACOS_ATAN
 
-#include "libm_support.h"
 
-// Assembly macros
+
+// Registers used
 //==============================================================
+// f6-f15, f32-f36
+// r2-r3, r23-r23
+// p6, p7, p8, p12
+//
 
-// f8 is input, but acos_V must be put in f8
-//    when __libm_atan2_reg is called, f8 must get V
-// f9 gets U when __libm_atan2_reg is called
 
+       GR_SAVE_B0= r33
+       GR_SAVE_PFS= r34
+       GR_SAVE_GP= r35 // This reg. can safely be used
+       GR_SAVE_SP= r36
 
-// __libm_atan2_reg returns 
-// f8  = Z_hi
-// f10 = Z_lo
-// f11 = s_lo
+       GR_Parameter_X= r37
+       GR_Parameter_Y= r38
+       GR_Parameter_RESULT= r39
+       GR_Parameter_TAG= r40
 
-acos_Z_hi = f8
-acos_Z_lo = f10
-acos_S_lo = f11
+       FR_X= f10
+       FR_Y= f1
+       FR_RESULT= f8
 
-// When we call __libm_atan2_reg, we must save 
-// the following:
 
-acos_corr  = f12
-acos_X     = f13
-acos_pi_hi = f14
-acos_pi_lo = f15
 
-// The rest of the assembly macros
-
-acos_P79                   = f32
-acos_P59                   = f33
-acos_P39                   = f34
-acos_P19                   = f35
+RODATA
 
-acos_P810                  = f36
-acos_P610                  = f37
-acos_P410                  = f38
-acos_P210                  = f39
+.align 16
 
-acos_A1                    = f41
-acos_A2                    = f42
-acos_A3                    = f43
-acos_A4                    = f44
-acos_A5                    = f45
-acos_A6                    = f46
-acos_A7                    = f47
-acos_A8                    = f48
-acos_A9                    = f49
-acos_A10                   = f50
+LOCAL_OBJECT_START(T_table)
+
+// stores 64-bit significand of 1/(1-t^2), 64-bit significand of sqrt(1-t^2),
+// asin(t)_high (double precision), asin(t)_low (double precision)
+
+data8 0x80828692b71c4391, 0xff7ddcec2d87e879
+data8 0x3fb022bc0ae531a0, 0x3c9f599c7bb42af6
+data8 0x80869f0163d0b082, 0xff79cad2247914d3
+data8 0x3fb062dd26afc320, 0x3ca4eff21bd49c5c
+data8 0x808ac7d5a8690705, 0xff75a89ed6b626b9
+data8 0x3fb0a2ff4a1821e0, 0x3cb7e33b58f164cc
+data8 0x808f0112ad8ad2e0, 0xff7176517c2cc0cb
+data8 0x3fb0e32279319d80, 0x3caee31546582c43
+data8 0x80934abba8a1da0a, 0xff6d33e949b1ed31
+data8 0x3fb12346b8101da0, 0x3cb8bfe463d087cd
+data8 0x8097a4d3dbe63d8f, 0xff68e16571015c63
+data8 0x3fb1636c0ac824e0, 0x3c8870a7c5a3556f
+data8 0x809c0f5e9662b3dd, 0xff647ec520bca0f0
+data8 0x3fb1a392756ed280, 0x3c964f1a927461ae
+data8 0x80a08a5f33fadc66, 0xff600c07846a6830
+data8 0x3fb1e3b9fc19e580, 0x3c69eb3576d56332
+data8 0x80a515d91d71acd4, 0xff5b892bc475affa
+data8 0x3fb223e2a2dfbe80, 0x3c6a4e19fd972fb6
+data8 0x80a9b1cfc86ff7cd, 0xff56f631062cf93d
+data8 0x3fb2640c6dd76260, 0x3c62041160e0849e
+data8 0x80ae5e46b78b0d68, 0xff5253166bc17794
+data8 0x3fb2a43761187c80, 0x3cac61651af678c0
+data8 0x80b31b417a4b756b, 0xff4d9fdb14463dc8
+data8 0x3fb2e46380bb6160, 0x3cb06ef23eeba7a1
+data8 0x80b7e8c3ad33c369, 0xff48dc7e1baf6738
+data8 0x3fb32490d0d910c0, 0x3caa05f480b300d5
+data8 0x80bcc6d0f9c784d6, 0xff4408fe9ad13e37
+data8 0x3fb364bf558b3820, 0x3cb01e7e403aaab9
+data8 0x80c1b56d1692492d, 0xff3f255ba75f5f4e
+data8 0x3fb3a4ef12ec3540, 0x3cb4fe8fcdf5f5f1
+data8 0x80c6b49bc72ec446, 0xff3a319453ebd961
+data8 0x3fb3e5200d171880, 0x3caf2dc089b2b7e2
+data8 0x80cbc460dc4e0ae8, 0xff352da7afe64ac6
+data8 0x3fb425524827a720, 0x3cb75a855e7c6053
+data8 0x80d0e4c033bee9c4, 0xff301994c79afb32
+data8 0x3fb46585c83a5e00, 0x3cb3264981c019ab
+data8 0x80d615bdb87556db, 0xff2af55aa431f291
+data8 0x3fb4a5ba916c73c0, 0x3c994251d94427b5
+data8 0x80db575d6291fd8a, 0xff25c0f84bae0cb9
+data8 0x3fb4e5f0a7dbdb20, 0x3cbee2fcc4c786cb
+data8 0x80e0a9a33769e535, 0xff207c6cc0ec09fd
+data8 0x3fb526280fa74620, 0x3c940656e5549b91
+data8 0x80e60c93498e32cd, 0xff1b27b703a19c98
+data8 0x3fb56660ccee2740, 0x3ca7082374d7b2cd
+data8 0x80eb8031b8d4052d, 0xff15c2d6105c72f8
+data8 0x3fb5a69ae3d0b520, 0x3c7c4d46e09ac68a
+data8 0x80f10482b25c6c8a, 0xff104dc8e0813ed4
+data8 0x3fb5e6d6586fec20, 0x3c9aa84ffd9b4958
+data8 0x80f6998a709c7cfb, 0xff0ac88e6a4ab926
+data8 0x3fb627132eed9140, 0x3cbced2cbbbe7d16
+data8 0x80fc3f4d3b657c44, 0xff053325a0c8a2ec
+data8 0x3fb667516b6c34c0, 0x3c6489c5fc68595a
+data8 0x8101f5cf67ed2af8, 0xfeff8d8d73dec2bb
+data8 0x3fb6a791120f33a0, 0x3cbe12acf159dfad
+data8 0x8107bd1558d6291f, 0xfef9d7c4d043df29
+data8 0x3fb6e7d226fabba0, 0x3ca386d099cd0dc7
+data8 0x810d95237e38766a, 0xfef411ca9f80b5f7
+data8 0x3fb72814ae53cc20, 0x3cb9f35731e71dd6
+data8 0x81137dfe55aa0e29, 0xfeee3b9dc7eef009
+data8 0x3fb76858ac403a00, 0x3c74df3dd959141a
+data8 0x811977aa6a479f0f, 0xfee8553d2cb8122c
+data8 0x3fb7a89e24e6b0e0, 0x3ca6034406ee42bc
+data8 0x811f822c54bd5ef8, 0xfee25ea7add46a91
+data8 0x3fb7e8e51c6eb6a0, 0x3cb82f8f78e68ed7
+data8 0x81259d88bb4ffac1, 0xfedc57dc2809fb1d
+data8 0x3fb8292d9700ad60, 0x3cbebb73c0e653f9
+data8 0x812bc9c451e5a257, 0xfed640d974eb6068
+data8 0x3fb8697798c5d620, 0x3ca2feee76a9701b
+data8 0x813206e3da0f3124, 0xfed0199e6ad6b585
+data8 0x3fb8a9c325e852e0, 0x3cb9e88f2f4d0efe
+data8 0x813854ec231172f9, 0xfec9e229dcf4747d
+data8 0x3fb8ea1042932a00, 0x3ca5ff40d81f66fd
+data8 0x813eb3e209ee858f, 0xfec39a7a9b36538b
+data8 0x3fb92a5ef2f247c0, 0x3cb5e3bece4d6b07
+data8 0x814523ca796f56ce, 0xfebd428f72561efe
+data8 0x3fb96aaf3b3281a0, 0x3cb7b9e499436d7c
+data8 0x814ba4aa6a2d3ff9, 0xfeb6da672bd48fe4
+data8 0x3fb9ab011f819860, 0x3cb9168143cc1a7f
+data8 0x81523686e29bbdd7, 0xfeb062008df81f50
+data8 0x3fb9eb54a40e3ac0, 0x3cb6e544197eb1e1
+data8 0x8158d964f7124614, 0xfea9d95a5bcbd65a
+data8 0x3fba2ba9cd080800, 0x3ca9a717be8f7446
+data8 0x815f8d49c9d639e4, 0xfea34073551e1ac8
+data8 0x3fba6c009e9f9260, 0x3c741e989a60938a
+data8 0x8166523a8b24f626, 0xfe9c974a367f785c
+data8 0x3fbaac591d0661a0, 0x3cb2c1290107e57d
+data8 0x816d283c793e0114, 0xfe95ddddb94166cb
+data8 0x3fbaecb34c6ef600, 0x3c9c7d5fbaec405d
+data8 0x81740f54e06d55bd, 0xfe8f142c93750c50
+data8 0x3fbb2d0f310cca00, 0x3cbc09479a9cbcfb
+data8 0x817b07891b15cd5e, 0xfe883a3577e9fceb
+data8 0x3fbb6d6ccf1455e0, 0x3cb9450bff4ee307
+data8 0x818210de91bba6c8, 0xfe814ff7162cf62f
+data8 0x3fbbadcc2abb1180, 0x3c9227fda12a8d24
+data8 0x81892b5abb0f2bf9, 0xfe7a55701a8697b1
+data8 0x3fbbee2d48377700, 0x3cb6fad72acfe356
+data8 0x819057031bf7760e, 0xfe734a9f2dfa1810
+data8 0x3fbc2e902bc10600, 0x3cb4465b588d16ad
+data8 0x819793dd479d4fbe, 0xfe6c2f82f643f68b
+data8 0x3fbc6ef4d9904580, 0x3c8b9ac54823960d
+data8 0x819ee1eedf76367a, 0xfe65041a15d8a92c
+data8 0x3fbcaf5b55dec6a0, 0x3ca2b8d28a954db2
+data8 0x81a6413d934f7a66, 0xfe5dc8632be3477f
+data8 0x3fbcefc3a4e727a0, 0x3c9380da83713ab4
+data8 0x81adb1cf21597d4b, 0xfe567c5cd44431d5
+data8 0x3fbd302dcae51600, 0x3ca995b83421756a
+data8 0x81b533a9563310b8, 0xfe4f2005a78fb50f
+data8 0x3fbd7099cc155180, 0x3caefa2f7a817d5f
+data8 0x81bcc6d20cf4f373, 0xfe47b35c3b0caaeb
+data8 0x3fbdb107acb5ae80, 0x3cb455fc372dd026
+data8 0x81c46b4f2f3d6e68, 0xfe40365f20b316d6
+data8 0x3fbdf177710518c0, 0x3cbee3dcc5b01434
+data8 0x81cc2126b53c1144, 0xfe38a90ce72abf36
+data8 0x3fbe31e91d439620, 0x3cb3e131c950aebd
+data8 0x81d3e85ea5bd8ee2, 0xfe310b6419c9c33a
+data8 0x3fbe725cb5b24900, 0x3c01d3fac6029027
+data8 0x81dbc0fd1637b9c1, 0xfe295d6340932d15
+data8 0x3fbeb2d23e937300, 0x3c6304cc44aeedd1
+data8 0x81e3ab082ad5a0a4, 0xfe219f08e03580b3
+data8 0x3fbef349bc2a77e0, 0x3cac1d2d6abe9c72
+data8 0x81eba6861683cb97, 0xfe19d0537a0946e2
+data8 0x3fbf33c332bbe020, 0x3ca0909dba4e96ca
+data8 0x81f3b37d1afc9979, 0xfe11f1418c0f94e2
+data8 0x3fbf743ea68d5b60, 0x3c937fc12a2a779a
+data8 0x81fbd1f388d4be45, 0xfe0a01d190f09063
+data8 0x3fbfb4bc1be5c340, 0x3cbf51a504b55813
+data8 0x820401efbf87e248, 0xfe020201fff9efea
+data8 0x3fbff53b970d1e80, 0x3ca625444b260078
+data8 0x82106ad2ffdca049, 0xfdf5e3940a49135e
+data8 0x3fc02aff52065460, 0x3c9125d113e22a57
+data8 0x8221343d6ea1d3e2, 0xfde581a45429b0a0
+data8 0x3fc06b84f8e03220, 0x3caccf362295894b
+data8 0x82324434adbf99c2, 0xfdd4de1a001fb775
+data8 0x3fc0ac0ed1fe7240, 0x3cc22f676096b0af
+data8 0x82439aee8d0c7747, 0xfdc3f8e8269d1f03
+data8 0x3fc0ec9cee9e4820, 0x3cca147e2886a628
+data8 0x825538a1d0fcb2f0, 0xfdb2d201a9b1ba66
+data8 0x3fc12d2f6006f0a0, 0x3cc72b36633bc2d4
+data8 0x82671d86345c5cee, 0xfda1695934d723e7
+data8 0x3fc16dc63789de60, 0x3cb11f9c47c7b83f
+data8 0x827949d46a121770, 0xfd8fbee13cbbb823
+data8 0x3fc1ae618682e620, 0x3cce1b59020cef8e
+data8 0x828bbdc61eeab9ba, 0xfd7dd28bff0c9f34
+data8 0x3fc1ef015e586c40, 0x3cafec043e0225ee
+data8 0x829e7995fb6de9e1, 0xfd6ba44b823ee1ca
+data8 0x3fc22fa5d07b90c0, 0x3cba905409caf8e3
+data8 0x82b17d7fa5bbc982, 0xfd5934119557883a
+data8 0x3fc2704eee685da0, 0x3cb5ef21838a823e
+data8 0x82c4c9bfc373d276, 0xfd4681cfcfb2c161
+data8 0x3fc2b0fcc9a5f3e0, 0x3ccc7952c5e0e312
+data8 0x82d85e93fba50136, 0xfd338d7790ca0f41
+data8 0x3fc2f1af73c6ba00, 0x3cbecf5f977d1ca9
+data8 0x82ec3c3af8c76b32, 0xfd2056f9fff97727
+data8 0x3fc33266fe6889a0, 0x3c9d329c022ebdb5
+data8 0x830062f46abf6022, 0xfd0cde480c43b327
+data8 0x3fc373237b34de60, 0x3cc95806d4928adb
+data8 0x8314d30108ea35f0, 0xfcf923526c1562b2
+data8 0x3fc3b3e4fbe10520, 0x3cbc299fe7223d54
+data8 0x83298ca29434df97, 0xfce526099d0737ed
+data8 0x3fc3f4ab922e4a60, 0x3cb59d8bb8fdbccc
+data8 0x833e901bd93c7009, 0xfcd0e65de39f1f7c
+data8 0x3fc435774fea2a60, 0x3c9ec18b43340914
+data8 0x8353ddb0b278aad8, 0xfcbc643f4b106055
+data8 0x3fc4764846ee80a0, 0x3cb90402efd87ed6
+data8 0x836975a60a70c52e, 0xfca79f9da4fab13a
+data8 0x3fc4b71e8921b860, 0xbc58f23449ed6365
+data8 0x837f5841ddfa7a46, 0xfc92986889284148
+data8 0x3fc4f7fa2876fca0, 0xbc6294812bf43acd
+data8 0x839585cb3e839773, 0xfc7d4e8f554ab12f
+data8 0x3fc538db36ee6960, 0x3cb910b773d4c578
+data8 0x83abfe8a5466246f, 0xfc67c2012cb6fa68
+data8 0x3fc579c1c6953cc0, 0x3cc5ede909fc47fc
+data8 0x83c2c2c861474d91, 0xfc51f2acf82041d5
+data8 0x3fc5baade9860880, 0x3cac63cdfc3588e5
+data8 0x83d9d2cfc2813637, 0xfc3be08165519325
+data8 0x3fc5fb9fb1e8e3a0, 0x3cbf7c8466578c29
+data8 0x83f12eebf397daac, 0xfc258b6ce6e6822f
+data8 0x3fc63c9731f39d40, 0x3cb6d2a7ffca3e9e
+data8 0x8408d76990b9296e, 0xfc0ef35db402af94
+data8 0x3fc67d947be9eec0, 0x3cb1980da09e6566
+data8 0x8420cc9659487cd7, 0xfbf81841c8082dc4
+data8 0x3fc6be97a21daf00, 0x3cc2ac8330e59aa5
+data8 0x84390ec132759ecb, 0xfbe0fa06e24cc390
+data8 0x3fc6ffa0b6ef05e0, 0x3ccc1a030fee56c4
+data8 0x84519e3a29df811a, 0xfbc9989a85ce0954
+data8 0x3fc740afcccca000, 0x3cc19692a5301ca6
+data8 0x846a7b527842d61b, 0xfbb1f3e9f8e45dc4
+data8 0x3fc781c4f633e2c0, 0x3cc0e98f3868a508
+data8 0x8483a65c8434b5f0, 0xfb9a0be244f4af45
+data8 0x3fc7c2e045b12140, 0x3cb2a8d309754420
+data8 0x849d1fabe4e97dd7, 0xfb81e070362116d1
+data8 0x3fc80401cddfd120, 0x3ca7a44544aa4ce6
+data8 0x84b6e795650817ea, 0xfb6971805af8411e
+data8 0x3fc84529a16ac020, 0x3c9e3b709c7d6f94
+data8 0x84d0fe6f0589da92, 0xfb50beff0423a2f5
+data8 0x3fc88657d30c49e0, 0x3cc60d65a7f0a278
+data8 0x84eb649000a73014, 0xfb37c8d84414755c
+data8 0x3fc8c78c758e8e80, 0x3cc94b2ee984c2b7
+data8 0x85061a50ccd13781, 0xfb1e8ef7eeaf764b
+data8 0x3fc908c79bcba900, 0x3cc8540ae794a2fe
+data8 0x8521200b1fb8916e, 0xfb05114998f76a83
+data8 0x3fc94a0958ade6c0, 0x3ca127f49839fa9c
+data8 0x853c7619f1618bf6, 0xfaeb4fb898b65d19
+data8 0x3fc98b51bf2ffee0, 0x3c8c9ba7a803909a
+data8 0x85581cd97f45e274, 0xfad14a3004259931
+data8 0x3fc9cca0e25d4ac0, 0x3cba458e91d3bf54
+data8 0x857414a74f8446b4, 0xfab7009ab1945a54
+data8 0x3fca0df6d551fe80, 0x3cc78ea1d329d2b2
+data8 0x85905de2341dea46, 0xfa9c72e3370d2fbc
+data8 0x3fca4f53ab3b6200, 0x3ccf60dca86d57ef
+data8 0x85acf8ea4e423ff8, 0xfa81a0f3e9fa0ee9
+data8 0x3fca90b777580aa0, 0x3ca4c4e2ec8a867e
+data8 0x85c9e62111a92e7d, 0xfa668ab6dec711b1
+data8 0x3fcad2224cf814e0, 0x3c303de5980d071c
+data8 0x85e725e947fbee97, 0xfa4b3015e883dbfe
+data8 0x3fcb13943f7d5f80, 0x3cc29d4eefa5cb1e
+data8 0x8604b8a7144cd054, 0xfa2f90fa9883a543
+data8 0x3fcb550d625bc6a0, 0x3c9e01a746152daf
+data8 0x86229ebff69e2415, 0xfa13ad4e3dfbe1c1
+data8 0x3fcb968dc9195ea0, 0x3ccc091bd73ae518
+data8 0x8640d89acf78858c, 0xf9f784f9e5a1877b
+data8 0x3fcbd815874eb160, 0x3cb5f4b89875e187
+data8 0x865f669fe390c7f5, 0xf9db17e65944eacf
+data8 0x3fcc19a4b0a6f9c0, 0x3cc5c0bc2b0bbf14
+data8 0x867e4938df7dc45f, 0xf9be65fc1f6c2e6e
+data8 0x3fcc5b3b58e061e0, 0x3cc1ca70df8f57e7
+data8 0x869d80d0db7e4c0c, 0xf9a16f237aec427a
+data8 0x3fcc9cd993cc4040, 0x3cbae93acc85eccf
+data8 0x86bd0dd45f4f8265, 0xf98433446a806e70
+data8 0x3fccde7f754f5660, 0x3cb22f70e64568d0
+data8 0x86dcf0b16613e37a, 0xf966b246a8606170
+data8 0x3fcd202d11620fa0, 0x3c962030e5d4c849
+data8 0x86fd29d7624b3d5d, 0xf948ec11a9d4c45b
+data8 0x3fcd61e27c10c0a0, 0x3cc7083c91d59217
+data8 0x871db9b741dbe44a, 0xf92ae08c9eca4941
+data8 0x3fcda39fc97be7c0, 0x3cc9258579e57211
+data8 0x873ea0c3722d6af2, 0xf90c8f9e71633363
+data8 0x3fcde5650dd86d60, 0x3ca4755a9ea582a9
+data8 0x875fdf6fe45529e8, 0xf8edf92dc5875319
+data8 0x3fce27325d6fe520, 0x3cbc1e2b6c1954f9
+data8 0x878176321154e2bc, 0xf8cf1d20f87270b8
+data8 0x3fce6907cca0d060, 0x3cb6ca4804750830
+data8 0x87a36580fe6bccf5, 0xf8affb5e20412199
+data8 0x3fceaae56fdee040, 0x3cad6b310d6fd46c
+data8 0x87c5add5417a5cb9, 0xf89093cb0b7c0233
+data8 0x3fceeccb5bb33900, 0x3cc16e99cedadb20
+data8 0x87e84fa9057914ca, 0xf870e64d40a15036
+data8 0x3fcf2eb9a4bcb600, 0x3cc75ee47c8b09e9
+data8 0x880b4b780f02b709, 0xf850f2c9fdacdf78
+data8 0x3fcf70b05fb02e20, 0x3cad6350d379f41a
+data8 0x882ea1bfc0f228ac, 0xf830b926379e6465
+data8 0x3fcfb2afa158b8a0, 0x3cce0ccd9f829985
+data8 0x885252ff21146108, 0xf810394699fe0e8e
+data8 0x3fcff4b77e97f3e0, 0x3c9b30faa7a4c703
+data8 0x88765fb6dceebbb3, 0xf7ef730f865f6df0
+data8 0x3fd01b6406332540, 0x3cdc5772c9e0b9bd
+data8 0x88ad1f69be2cc730, 0xf7bdc59bc9cfbd97
+data8 0x3fd04cf8ad203480, 0x3caeef44fe21a74a
+data8 0x88f763f70ae2245e, 0xf77a91c868a9c54e
+data8 0x3fd08f23ce0162a0, 0x3cd6290ab3fe5889
+data8 0x89431fc7bc0c2910, 0xf73642973c91298e
+data8 0x3fd0d1610f0c1ec0, 0x3cc67401a01f08cf
+data8 0x8990573407c7738e, 0xf6f0d71d1d7a2dd6
+data8 0x3fd113b0c65d88c0, 0x3cc7aa4020fe546f
+data8 0x89df0eb108594653, 0xf6aa4e6a05cfdef2
+data8 0x3fd156134ada6fe0, 0x3cc87369da09600c
+data8 0x8a2f4ad16e0ed78a, 0xf662a78900c35249
+data8 0x3fd19888f43427a0, 0x3cc62b220f38e49c
+data8 0x8a811046373e0819, 0xf619e180181d97cc
+data8 0x3fd1db121aed7720, 0x3ca3ede7490b52f4
+data8 0x8ad463df6ea0fa2c, 0xf5cffb504190f9a2
+data8 0x3fd21daf185fa360, 0x3caafad98c1d6c1b
+data8 0x8b294a8cf0488daf, 0xf584f3f54b8604e6
+data8 0x3fd2606046bf95a0, 0x3cdb2d704eeb08fa
+data8 0x8b7fc95f35647757, 0xf538ca65c960b582
+data8 0x3fd2a32601231ec0, 0x3cc661619fa2f126
+data8 0x8bd7e588272276f8, 0xf4eb7d92ff39fccb
+data8 0x3fd2e600a3865760, 0x3c8a2a36a99aca4a
+data8 0x8c31a45bf8e9255e, 0xf49d0c68cd09b689
+data8 0x3fd328f08ad12000, 0x3cb9efaf1d7ab552
+data8 0x8c8d0b520a35eb18, 0xf44d75cd993cfad2
+data8 0x3fd36bf614dcc040, 0x3ccacbb590bef70d
+data8 0x8cea2005d068f23d, 0xf3fcb8a23ab4942b
+data8 0x3fd3af11a079a6c0, 0x3cd9775872cf037d
+data8 0x8d48e837c8cd5027, 0xf3aad3c1e2273908
+data8 0x3fd3f2438d754b40, 0x3ca03304f667109a
+data8 0x8da969ce732f3ac7, 0xf357c60202e2fd7e
+data8 0x3fd4358c3ca032e0, 0x3caecf2504ff1a9d
+data8 0x8e0baad75555e361, 0xf3038e323ae9463a
+data8 0x3fd478ec0fd419c0, 0x3cc64bdc3d703971
+data8 0x8e6fb18807ba877e, 0xf2ae2b1c3a6057f7
+data8 0x3fd4bc6369fa40e0, 0x3cbb7122ec245cf2
+data8 0x8ed5843f4bda74d5, 0xf2579b83aa556f0c
+data8 0x3fd4fff2af11e2c0, 0x3c9cfa2dc792d394
+data8 0x8f3d29862c861fef, 0xf1ffde2612ca1909
+data8 0x3fd5439a4436d000, 0x3cc38d46d310526b
+data8 0x8fa6a81128940b2d, 0xf1a6f1bac0075669
+data8 0x3fd5875a8fa83520, 0x3cd8bf59b8153f8a
+data8 0x901206c1686317a6, 0xf14cd4f2a730d480
+data8 0x3fd5cb33f8cf8ac0, 0x3c9502b5c4d0e431
+data8 0x907f4ca5fe9cf739, 0xf0f186784a125726
+data8 0x3fd60f26e847b120, 0x3cc8a1a5e0acaa33
+data8 0x90ee80fd34aeda5e, 0xf09504ef9a212f18
+data8 0x3fd65333c7e43aa0, 0x3cae5b029cb1f26e
+data8 0x915fab35e37421c6, 0xf0374ef5daab5c45
+data8 0x3fd6975b02b8e360, 0x3cd5aa1c280c45e6
+data8 0x91d2d2f0d894d73c, 0xefd86321822dbb51
+data8 0x3fd6db9d05213b20, 0x3cbecf2c093ccd8b
+data8 0x9248000249200009, 0xef7840021aca5a72
+data8 0x3fd71ffa3cc87fc0, 0x3cb8d273f08d00d9
+data8 0x92bf3a7351f081d2, 0xef16e42021d7cbd5
+data8 0x3fd7647318b1ad20, 0x3cbce099d79cdc46
+data8 0x93388a8386725713, 0xeeb44dfce6820283
+data8 0x3fd7a908093fc1e0, 0x3ccb033ec17a30d9
+data8 0x93b3f8aa8e653812, 0xee507c126774fa45
+data8 0x3fd7edb9803e3c20, 0x3cc10aedb48671eb
+data8 0x94318d99d341ade4, 0xedeb6cd32f891afb
+data8 0x3fd83287f0e9cf80, 0x3c994c0c1505cd2a
+data8 0x94b1523e3dedc630, 0xed851eaa3168f43c
+data8 0x3fd87773cff956e0, 0x3cda3b7bce6a6b16
+data8 0x95334fc20577563f, 0xed1d8ffaa2279669
+data8 0x3fd8bc7d93a70440, 0x3cd4922edc792ce2
+data8 0x95b78f8e8f92f274, 0xecb4bf1fd2be72da
+data8 0x3fd901a5b3b9cf40, 0x3cd3fea1b00f9d0d
+data8 0x963e1b4e63a87c3f, 0xec4aaa6d08694cc1
+data8 0x3fd946eca98f2700, 0x3cdba4032d968ff1
+data8 0x96c6fcef314074fc, 0xebdf502d53d65fea
+data8 0x3fd98c52f024e800, 0x3cbe7be1ab8c95c9
+data8 0x97523ea3eab028b2, 0xeb72aea36720793e
+data8 0x3fd9d1d904239860, 0x3cd72d08a6a22b70
+data8 0x97dfeae6f4ee4a9a, 0xeb04c4096a884e94
+data8 0x3fda177f63e8ef00, 0x3cd818c3c1ebfac7
+data8 0x98700c7c6d85d119, 0xea958e90cfe1efd7
+data8 0x3fda5d468f92a540, 0x3cdf45fbfaa080fe
+data8 0x9902ae7487a9caa1, 0xea250c6224aab21a
+data8 0x3fdaa32f090998e0, 0x3cd715a9353cede4
+data8 0x9997dc2e017a9550, 0xe9b33b9ce2bb7638
+data8 0x3fdae939540d3f00, 0x3cc545c014943439
+data8 0x9a2fa158b29b649b, 0xe9401a573f8aa706
+data8 0x3fdb2f65f63f6c60, 0x3cd4a63c2f2ca8e2
+data8 0x9aca09f835466186, 0xe8cba69df9f0bf35
+data8 0x3fdb75b5773075e0, 0x3cda310ce1b217ec
+data8 0x9b672266ab1e0136, 0xe855de74266193d4
+data8 0x3fdbbc28606babc0, 0x3cdc84b75cca6c44
+data8 0x9c06f7579f0b7bd5, 0xe7debfd2f98c060b
+data8 0x3fdc02bf3d843420, 0x3cd225d967ffb922
+data8 0x9ca995db058cabdc, 0xe76648a991511c6e
+data8 0x3fdc497a9c224780, 0x3cde08101c5b825b
+data8 0x9d4f0b605ce71e88, 0xe6ec76dcbc02d9a7
+data8 0x3fdc905b0c10d420, 0x3cb1abbaa3edf120
+data8 0x9df765b9eecad5e6, 0xe6714846bdda7318
+data8 0x3fdcd7611f4b8a00, 0x3cbf6217ae80aadf
+data8 0x9ea2b320350540fe, 0xe5f4bab71494cd6b
+data8 0x3fdd1e8d6a0d56c0, 0x3cb726e048cc235c
+data8 0x9f51023562fc5676, 0xe576cbf239235ecb
+data8 0x3fdd65e082df5260, 0x3cd9e66872bd5250
+data8 0xa002620915c2a2f6, 0xe4f779b15f5ec5a7
+data8 0x3fddad5b02a82420, 0x3c89743b0b57534b
+data8 0xa0b6e21c2caf9992, 0xe476c1a233a7873e
+data8 0x3fddf4fd84bbe160, 0x3cbf7adea9ee3338
+data8 0xa16e9264cc83a6b2, 0xe3f4a16696608191
+data8 0x3fde3cc8a6ec6ee0, 0x3cce46f5a51f49c6
+data8 0xa22983528f3d8d49, 0xe3711694552da8a8
+data8 0x3fde84bd099a6600, 0x3cdc78f6490a2d31
+data8 0xa2e7c5d2e2e69460, 0xe2ec1eb4e1e0a5fb
+data8 0x3fdeccdb4fc685c0, 0x3cdd3aedb56a4825
+data8 0xa3a96b5599bd2532, 0xe265b74506fbe1c9
+data8 0x3fdf15241f23b3e0, 0x3cd440f3c6d65f65
+data8 0xa46e85d1ae49d7de, 0xe1ddddb499b3606f
+data8 0x3fdf5d98202994a0, 0x3cd6c44bd3fb745a
+data8 0xa53727ca3e11b99e, 0xe1548f662951b00d
+data8 0x3fdfa637fe27bf60, 0x3ca8ad1cd33054dd
+data8 0xa6036453bdc20186, 0xe0c9c9aeabe5e481
+data8 0x3fdfef0467599580, 0x3cc0f1ac0685d78a
+data8 0xa6d34f1969dda338, 0xe03d89d5281e4f81
+data8 0x3fe01bff067d6220, 0x3cc0731e8a9ef057
+data8 0xa7a6fc62f7246ff3, 0xdfafcd125c323f54
+data8 0x3fe04092d1ae3b40, 0x3ccabda24b59906d
+data8 0xa87e811a861df9b9, 0xdf20909061bb9760
+data8 0x3fe0653df0fd9fc0, 0x3ce94c8dcc722278
+data8 0xa959f2d2dd687200, 0xde8fd16a4e5f88bd
+data8 0x3fe08a00c1cae320, 0x3ce6b888bb60a274
+data8 0xaa3967cdeea58bda, 0xddfd8cabd1240d22
+data8 0x3fe0aedba3221c00, 0x3ced5941cd486e46
+data8 0xab904fd587263c84, 0xdd1f4472e1cf64ed
+data8 0x3fe0e651e85229c0, 0x3cdb6701042299b1
+data8 0xad686d44dd5a74bb, 0xdbf173e1f6b46e92
+data8 0x3fe1309cbf4cdb20, 0x3cbf1be7bb3f0ec5
+data8 0xaf524e15640ebee4, 0xdabd54896f1029f6
+data8 0x3fe17b4ee1641300, 0x3ce81dd055b792f1
+data8 0xb14eca24ef7db3fa, 0xd982cb9ae2f47e41
+data8 0x3fe1c66b9ffd6660, 0x3cd98ea31eb5ddc7
+data8 0xb35ec807669920ce, 0xd841bd1b8291d0b6
+data8 0x3fe211f66db3a5a0, 0x3ca480c35a27b4a2
+data8 0xb5833e4755e04dd1, 0xd6fa0bd3150b6930
+data8 0x3fe25df2e05b6c40, 0x3ca4bc324287a351
+data8 0xb7bd34c8000b7bd3, 0xd5ab9939a7d23aa1
+data8 0x3fe2aa64b32f7780, 0x3cba67314933077c
+data8 0xba0dc64d126cc135, 0xd4564563ce924481
+data8 0x3fe2f74fc9289ac0, 0x3cec1a1dc0efc5ec
+data8 0xbc76222cbbfa74a6, 0xd2f9eeed501125a8
+data8 0x3fe344b82f859ac0, 0x3ceeef218de413ac
+data8 0xbef78e31985291a9, 0xd19672e2182f78be
+data8 0x3fe392a22087b7e0, 0x3cd2619ba201204c
+data8 0xc19368b2b0629572, 0xd02baca5427e436a
+data8 0x3fe3e11206694520, 0x3cb5d0b3143fe689
+data8 0xc44b2ae8c6733e51, 0xceb975d60b6eae5d
+data8 0x3fe4300c7e945020, 0x3cbd367143da6582
+data8 0xc7206b894212dfef, 0xcd3fa6326ff0ac9a
+data8 0x3fe47f965d201d60, 0x3ce797c7a4ec1d63
+data8 0xca14e1b0622de526, 0xcbbe13773c3c5338
+data8 0x3fe4cfb4b09d1a20, 0x3cedfadb5347143c
+data8 0xcd2a6825eae65f82, 0xca34913d425a5ae9
+data8 0x3fe5206cc637e000, 0x3ce2798b38e54193
+data8 0xd06301095e1351ee, 0xc8a2f0d3679c08c0
+data8 0x3fe571c42e3d0be0, 0x3ccd7cb9c6c2ca68
+data8 0xd3c0d9f50057adda, 0xc70901152d59d16b
+data8 0x3fe5c3c0c108f940, 0x3ceb6c13563180ab
+data8 0xd74650a98cc14789, 0xc5668e3d4cbf8828
+data8 0x3fe61668a46ffa80, 0x3caa9092e9e3c0e5
+data8 0xdaf5f8579dcc8f8f, 0xc3bb61b3eed42d02
+data8 0x3fe669c251ad69e0, 0x3cccf896ef3b4fee
+data8 0xded29f9f9a6171b4, 0xc20741d7f8e8e8af
+data8 0x3fe6bdd49bea05c0, 0x3cdc6b29937c575d
+data8 0xe2df5765854ccdb0, 0xc049f1c2d1b8014b
+data8 0x3fe712a6b76c6e80, 0x3ce1ddc6f2922321
+data8 0xe71f7a9b94fcb4c3, 0xbe833105ec291e91
+data8 0x3fe76840418978a0, 0x3ccda46e85432c3d
+data8 0xeb96b72d3374b91e, 0xbcb2bb61493b28b3
+data8 0x3fe7bea9496d5a40, 0x3ce37b42ec6e17d3
+data8 0xf049183c3f53c39b, 0xbad848720223d3a8
+data8 0x3fe815ea59dab0a0, 0x3cb03ad41bfc415b
+data8 0xf53b11ec7f415f15, 0xb8f38b57c53c9c48
+data8 0x3fe86e0c84010760, 0x3cc03bfcfb17fe1f
+data8 0xfa718f05adbf2c33, 0xb70432500286b185
+data8 0x3fe8c7196b9225c0, 0x3ced99fcc6866ba9
+data8 0xfff200c3f5489608, 0xb509e6454dca33cc
+data8 0x3fe9211b54441080, 0x3cb789cb53515688
+// The following table entries are not used
+//data8 0x82e138a0fac48700, 0xb3044a513a8e6132
+//data8 0x3fe97c1d30f5b7c0, 0x3ce1eb765612d1d0
+//data8 0x85f4cc7fc670d021, 0xb0f2fb2ea6cbbc88
+//data8 0x3fe9d82ab4b5fde0, 0x3ced3fe6f27e8039
+//data8 0x89377c1387d5b908, 0xaed58e9a09014d5c
+//data8 0x3fea355065f87fa0, 0x3cbef481d25f5b58
+//data8 0x8cad7a2c98dec333, 0xacab929ce114d451
+//data8 0x3fea939bb451e2a0, 0x3c8e92b4fbf4560f
+//data8 0x905b7dfc99583025, 0xaa748cc0dbbbc0ec
+//data8 0x3feaf31b11270220, 0x3cdced8c61bd7bd5
+//data8 0x9446d8191f80dd42, 0xa82ff92687235baf
+//data8 0x3feb53de0bcffc20, 0x3cbe1722fb47509e
+//data8 0x98758ba086e4000a, 0xa5dd497a9c184f58
+//data8 0x3febb5f571cb0560, 0x3ce0c7774329a613
+//data8 0x9cee6c7bf18e4e24, 0xa37be3c3cd1de51b
+//data8 0x3fec197373bc7be0, 0x3ce08ebdb55c3177
+//data8 0xa1b944000a1b9440, 0xa10b2101b4f27e03
+//data8 0x3fec7e6bd023da60, 0x3ce5fc5fd4995959
+//data8 0xa6defd8ba04d3e38, 0x9e8a4b93cad088ec
+//data8 0x3fece4f404e29b20, 0x3cea3413401132b5
+//data8 0xac69dd408a10c62d, 0x9bf89d5d17ddae8c
+//data8 0x3fed4d2388f63600, 0x3cd5a7fb0d1d4276
+//data8 0xb265c39cbd80f97a, 0x99553d969fec7beb
+//data8 0x3fedb714101e0a00, 0x3cdbda21f01193f2
+//data8 0xb8e081a16ae4ae73, 0x969f3e3ed2a0516c
+//data8 0x3fee22e1da97bb00, 0x3ce7231177f85f71
+//data8 0xbfea427678945732, 0x93d5990f9ee787af
+//data8 0x3fee90ac13b18220, 0x3ce3c8a5453363a5
+//data8 0xc79611399b8c90c5, 0x90f72bde80febc31
+//data8 0x3fef009542b712e0, 0x3ce218fd79e8cb56
+//data8 0xcffa8425040624d7, 0x8e02b4418574ebed
+//data8 0x3fef72c3d2c57520, 0x3cd32a717f82203f
+//data8 0xd93299cddcf9cf23, 0x8af6ca48e9c44024
+//data8 0x3fefe762b77744c0, 0x3ce53478a6bbcf94
+//data8 0xe35eda760af69ad9, 0x87d1da0d7f45678b
+//data8 0x3ff02f511b223c00, 0x3ced6e11782c28fc
+//data8 0xeea6d733421da0a6, 0x84921bbe64ae029a
+//data8 0x3ff06c5c6f8ce9c0, 0x3ce71fc71c1ffc02
+//data8 0xfb3b2c73fc6195cc, 0x813589ba3a5651b6
+//data8 0x3ff0aaf2613700a0, 0x3cf2a72d2fd94ef3
+//data8 0x84ac1fcec4203245, 0xfb73a828893df19e
+//data8 0x3ff0eb367c3fd600, 0x3cf8054c158610de
+//data8 0x8ca50621110c60e6, 0xf438a14c158d867c
+//data8 0x3ff12d51caa6b580, 0x3ce6bce9748739b6
+//data8 0x95b8c2062d6f8161, 0xecb3ccdd37b369da
+//data8 0x3ff1717418520340, 0x3ca5c2732533177c
+//data8 0xa0262917caab4ad1, 0xe4dde4ddc81fd119
+//data8 0x3ff1b7d59dd40ba0, 0x3cc4c7c98e870ff5
+//data8 0xac402c688b72f3f4, 0xdcae469be46d4c8d
+//data8 0x3ff200b93cc5a540, 0x3c8dd6dc1bfe865a
+//data8 0xba76968b9eabd9ab, 0xd41a8f3df1115f7f
+//data8 0x3ff24c6f8f6affa0, 0x3cf1acb6d2a7eff7
+//data8 0xcb63c87c23a71dc5, 0xcb161074c17f54ec
+//data8 0x3ff29b5b338b7c80, 0x3ce9b5845f6ec746
+//data8 0xdfe323b8653af367, 0xc19107d99ab27e42
+//data8 0x3ff2edf6fac7f5a0, 0x3cf77f961925fa02
+//data8 0xf93746caaba3e1f1, 0xb777744a9df03bff
+//data8 0x3ff344df237486c0, 0x3cf6ddf5f6ddda43
+//data8 0x8ca77052f6c340f0, 0xacaf476f13806648
+//data8 0x3ff3a0dfa4bb4ae0, 0x3cfee01bbd761bff
+//data8 0xa1a48604a81d5c62, 0xa11575d30c0aae50
+//data8 0x3ff4030b73c55360, 0x3cf1cf0e0324d37c
+//data8 0xbe45074b05579024, 0x9478e362a07dd287
+//data8 0x3ff46ce4c738c4e0, 0x3ce3179555367d12
+//data8 0xe7a08b5693d214ec, 0x8690e3575b8a7c3b
+//data8 0x3ff4e0a887c40a80, 0x3cfbd5d46bfefe69
+//data8 0x94503d69396d91c7, 0xedd2ce885ff04028
+//data8 0x3ff561ebd9c18cc0, 0x3cf331bd176b233b
+//data8 0xced1d96c5bb209e6, 0xc965278083808702
+//data8 0x3ff5f71d7ff42c80, 0x3ce3301cc0b5a48c
+//data8 0xabac2cee0fc24e20, 0x9c4eb1136094cbbd
+//data8 0x3ff6ae4c63222720, 0x3cf5ff46874ee51e
+//data8 0x8040201008040201, 0xb4d7ac4d9acb1bf4
+//data8 0x3ff7b7d33b928c40, 0x3cfacdee584023bb
+LOCAL_OBJECT_END(T_table)
 
-acos_X2                    = f51
-acos_X4                    = f52
 
-acos_B                     = f53
-acos_Bb                    = f54
-acos_A                     = f55
-acos_Aa                    = f56
 
-acos_1mA                   = f57
+.align 16
 
-acos_W                     = f58
-acos_Ww                    = f59
+LOCAL_OBJECT_START(poly_coeffs)
+       // C_3
+data8 0xaaaaaaaaaaaaaaab, 0x0000000000003ffc
+       // C_5
+data8 0x999999999999999a, 0x0000000000003ffb
+       // C_7, C_9
+data8 0x3fa6db6db6db6db7, 0x3f9f1c71c71c71c8
+       // pi/2 (low, high)
+data8 0x3C91A62633145C07, 0x3FF921FB54442D18
+       // C_11, C_13
+data8 0x3f96e8ba2e8ba2e9, 0x3f91c4ec4ec4ec4e
+       // C_15, C_17
+data8 0x3f8c99999999999a, 0x3f87a87878787223
+       // pi (low, high)
+data8 0x3CA1A62633145C07, 0x400921FB54442D18
+LOCAL_OBJECT_END(poly_coeffs)
+
+
+R_DBL_S = r21
+R_EXP0 = r22
+R_EXP = r15
+R_SGNMASK = r23
+R_TMP = r24
+R_TMP2 = r25
+R_INDEX = r26
+R_TMP3 = r27
+R_TMP03 = r27
+R_TMP4 = r28
+R_TMP5 = r23
+R_TMP6 = r22
+R_TMP7 = r21
+R_T = r29
+R_BIAS = r20
+
+F_T = f6
+F_1S2 = f7
+F_1S2_S = f9
+F_INV_1T2 = f10
+F_SQRT_1T2 = f11
+F_S2T2 = f12
+F_X = f13
+F_D = f14
+F_2M64 = f15
+
+F_CS2 = f32
+F_CS3 = f33
+F_CS4 = f34
+F_CS5 = f35
+F_CS6 = f36
+F_CS7 = f37
+F_CS8 = f38
+F_CS9 = f39
+F_S23 = f40 
+F_S45 = f41 
+F_S67 = f42 
+F_S89 = f43 
+F_S25 = f44 
+F_S69 = f45 
+F_S29 = f46 
+F_X2 = f47 
+F_X4 = f48 
+F_TSQRT = f49 
+F_DTX = f50 
+F_R = f51 
+F_R2 = f52 
+F_R3 = f53 
+F_R4 = f54 
+
+F_C3 = f55 
+F_C5 = f56 
+F_C7 = f57 
+F_C9 = f58 
+F_P79 = f59 
+F_P35 = f60 
+F_P39 = f61 
+
+F_ATHI = f62 
+F_ATLO = f63 
+
+F_T1 = f64 
+F_Y = f65 
+F_Y2 = f66 
+F_ANDMASK = f67 
+F_ORMASK = f68 
+F_S = f69 
+F_05 = f70 
+F_SQRT_1S2 = f71 
+F_DS = f72 
+F_Z = f73 
+F_1T2 = f74 
+F_DZ = f75 
+F_ZE = f76 
+F_YZ = f77 
+F_Y1S2 = f78 
+F_Y1S2X = f79 
+F_1X = f80 
+F_ST = f81 
+F_1T2_ST = f82 
+F_TSS = f83 
+F_Y1S2X2 = f84 
+F_DZ_TERM = f85 
+F_DTS = f86 
+F_DS2X = f87 
+F_T2 = f88 
+F_ZY1S2S = f89 
+F_Y1S2_1X = f90 
+F_TS = f91
+F_PI2_LO = f92 
+F_PI2_HI = f93 
+F_S19 = f94 
+F_INV1T2_2 = f95 
+F_CORR = f96 
+F_DZ0 = f97 
+
+F_C11 = f98 
+F_C13 = f99 
+F_C15 = f100
+F_C17 = f101
+F_P1113 = f102
+F_P1517 = f103
+F_P1117 = f104
+F_P317 = f105
+F_R8 = f106
+F_HI = f107
+F_1S2_HI = f108
+F_DS2 = f109
+F_Y2_2 = f110
+//F_S2 = f111
+//F_S_DS2 = f112
+F_S_1S2S = f113
+F_XL = f114
+F_2M128 = f115
+F_1AS = f116
+F_AS = f117
 
-acos_y0                    = f60
-acos_y1                    = f61
-acos_y2                    = f62
 
-acos_H                     = f63
-acos_Hh                    = f64
 
-acos_t1                    = f65
-acos_t2                    = f66
-acos_t3                    = f67
-acos_t4                    = f68
-acos_t5                    = f69
+.section .text
+GLOBAL_LIBM_ENTRY(acosl)
 
-acos_Pseries               = f70
-acos_NORM_f8               = f71
-acos_ABS_NORM_f8           = f72
+{.mfi
+       // get exponent, mantissa (rounded to double precision) of s
+       getf.d R_DBL_S = f8
+       // 1-s^2
+       fnma.s1 F_1S2 = f8, f8, f1
+       // r2 = pointer to T_table
+       addl r2 = @ltoff(T_table), gp
+}
 
-acos_2                     = f73
-acos_P1P2                  = f74
-acos_HALF                  = f75
-acos_U                     = f76
+{.mfi
+       // sign mask
+       mov R_SGNMASK = 0x20000
+       nop.f 0
+       // bias-63-1
+       mov R_TMP03 = 0xffff-64;;
+}
 
-acos_1mB                   = f77
-acos_V                     = f78 
-acos_S                     = f79
 
-acos_BmUU                  = f80 
-acos_BmUUpb                = f81 
-acos_2U                    = f82
-acos_1d2U                  = f83
+{.mfi
+       // get exponent of s
+       getf.exp R_EXP = f8
+       nop.f 0
+       // R_TMP4 = 2^45
+       shl R_TMP4 = R_SGNMASK, 45-17
+}
 
-acos_Dd                    = f84
+{.mlx
+       // load bias-4
+       mov R_TMP = 0xffff-4
+       // load RU(sqrt(2)/2) to integer register (in double format, shifted left by 1)
+       movl R_TMP2 = 0x7fcd413cccfe779a;;
+}
 
-acos_pi_by_2_hi            = f85
-acos_pi_by_2_lo            = f86
-acos_xmpi_by_2_lo          = f87
-acos_xPmw                  = f88
 
-acos_Uu                    = f89
-acos_AmVV                  = f90 
-acos_AmVVpa                = f91 
+{.mfi
+       // load 2^{-64} in FP register
+       setf.exp F_2M64 = R_TMP03
+       nop.f 0
+       // index = (0x7-exponent)|b1 b2.. b6
+       extr.u R_INDEX = R_DBL_S, 46, 9
+}
 
-acos_2V                    = f92 
-acos_1d2V                  = f93
-acos_Vv                    = f94
+{.mfi
+       // get t = sign|exponent|b1 b2.. b6 1 x.. x
+       or R_T = R_DBL_S, R_TMP4
+       nop.f 0
+       // R_TMP4 = 2^45-1
+       sub R_TMP4 = R_TMP4, r0, 1;;
+}
 
-acos_Vu                    = f95 
-acos_Uv                    = f96 
-
-acos_2_Z_hi                = f97
-acos_s_lo_Z_lo             = f98
-acos_result_lo             = f99
-
-acos_Z_hi                  = f8
-acos_Z_lo                  = f10
-acos_s_lo                  = f11
-
-acos_GR_17_ones            = r33
-acos_GR_16_ones            = r34
-acos_GR_signexp_f8         = r35
-acos_GR_exp                = r36
-acos_GR_true_exp           = r37
-acos_GR_fffe               = r38
-
-GR_SAVE_PFS                = r43
-GR_SAVE_B0                 = r39
-GR_SAVE_GP                 = r41
-
-// r40 is address of table of coefficients
-// r42 
-
-GR_Parameter_X             = r44 
-GR_Parameter_Y             = r45 
-GR_Parameter_RESULT        = r46 
-GR_Parameter_TAG                = r47 
-
-
-// 2^-40:
-// A true exponent of -40 is
-//                    : -40 + register_bias
-//                    : -28 + ffff = ffd7
 
-// A true exponent of 1 is 
-//                    : 1 + register_bias
-//                    : 1 + ffff = 10000
+{.mfi
+       // get t = sign|exponent|b1 b2.. b6 1 0.. 0
+       andcm R_T = R_T, R_TMP4
+       nop.f 0
+       // eliminate sign from R_DBL_S (shift left by 1)
+       shl R_TMP3 = R_DBL_S, 1
+}
 
-// Data tables
-//==============================================================
+{.mfi
+       // R_BIAS = 3*2^6
+       mov R_BIAS = 0xc0
+       nop.f 0
+       // eliminate sign from R_EXP
+       andcm R_EXP0 = R_EXP, R_SGNMASK;;
+}
 
-#ifdef _LIBC
-.rodata
-#else
-.data
-#endif
 
-.align 16
 
-acos_coefficients:
-ASM_TYPE_DIRECTIVE(acos_coefficients,@object)
-data8  0xc90fdaa22168c234, 0x00003FFF            // pi_by_2_hi
-data8  0xc4c6628b80dc1cd1, 0x00003FBF            // pi_by_2_lo
-data8  0xc90fdaa22168c234, 0x00004000            // pi_hi
-data8  0xc4c6628b80dc1cd1, 0x00003FC0            // pi_lo
-
-data8  0xBB08911F2013961E, 0x00003FF8            // A10
-data8  0x981F1095A23A87D3, 0x00003FF8            // A9 
-data8  0xBDF09C6C4177BCC6, 0x00003FF8            // A8 
-data8  0xE4C3A60B049ACCEA, 0x00003FF8            // A7 
-data8  0x8E2789F4E8A8F1AD, 0x00003FF9            // A6 
-data8  0xB745D09B2B0E850B, 0x00003FF9            // A5 
-data8  0xF8E38E3BC4C50920, 0x00003FF9            // A4 
-data8  0xB6DB6DB6D89FCD81, 0x00003FFA            // A3 
-data8  0x99999999999AF376, 0x00003FFB            // A2 
-data8  0xAAAAAAAAAAAAAA71, 0x00003FFC            // A1
-ASM_SIZE_DIRECTIVE(acos_coefficients)
-
-
-.align 32
-.global acosl#
-ASM_TYPE_DIRECTIVE(acosl#,@function)
+{.mfi
+       // load start address for T_table
+       ld8 r2 = [r2]
+       nop.f 0
+       // p8 = 1 if |s|> = sqrt(2)/2
+       cmp.geu p8, p0 = R_TMP3, R_TMP2
+}
 
-.section .text
-.proc  acosl#
-.align 32
+{.mlx
+       // p7 = 1 if |s|<2^{-4} (exponent of s<bias-4)
+       cmp.lt p7, p0 = R_EXP0, R_TMP
+       // sqrt coefficient cs8 = -33*13/128
+       movl R_TMP2 = 0xc0568000;;
+}
 
 
-acosl: 
 
-// After normalizing f8, get its true exponent
-{ .mfi
-      alloc r32 = ar.pfs,1,11,4,0                                             
-(p0)  fnorm.s1    acos_NORM_f8 = f8                                            
-(p0)  mov         acos_GR_17_ones = 0x1ffff                                    
+{.mbb
+       // load t in FP register
+       setf.d F_T = R_T
+       // if |s|<2^{-4}, take alternate path
+ (p7) br.cond.spnt SMALL_S
+       // if |s|> = sqrt(2)/2, take alternate path
+ (p8) br.cond.sptk LARGE_S
 }
 
-{ .mmi
-(p0)  mov        acos_GR_16_ones = 0xffff                                     
-(p0)  addl                 r40   = @ltoff(acos_coefficients), gp
-      nop.i 999
+{.mlx
+       // index = (4-exponent)|b1 b2.. b6
+       sub R_INDEX = R_INDEX, R_BIAS
+       // sqrt coefficient cs9 = 55*13/128
+       movl R_TMP = 0x40b2c000;;
 }
-;;
 
-// Set denormal flag on denormal input with fcmp
-{ .mfi
-      ld8 r40 = [r40]
-      fcmp.eq  p6,p0 = f8,f0
-      nop.i 999
+
+{.mfi
+       // sqrt coefficient cs8 = -33*13/128
+       setf.s F_CS8 = R_TMP2
+       nop.f 0
+       // shift R_INDEX by 5
+       shl R_INDEX = R_INDEX, 5
 }
-;;
 
+{.mfi
+       // sqrt coefficient cs3 = 0.5 (set exponent = bias-1)
+       mov R_TMP4 = 0xffff - 1
+       nop.f 0
+       // sqrt coefficient cs6 = -21/16
+       mov R_TMP6 = 0xbfa8;;
+}
 
-// Load the constants pi_by_2 and pi.
-// Each is stored as hi and lo values
-// Also load the coefficients for ACOS_POLY
 
-{ .mmi
-(p0) ldfe       acos_pi_by_2_hi = [r40],16 ;;      
-(p0) ldfe       acos_pi_by_2_lo = [r40],16      
-     nop.i 999 ;;
+{.mlx
+       // table index
+       add r2 = r2, R_INDEX
+       // sqrt coefficient cs7 = 33/16
+       movl R_TMP2 = 0x40040000;;
 }
 
-{ .mmi
-(p0) ldfe       acos_pi_hi      = [r40],16 ;;      
-(p0) ldfe       acos_pi_lo      = [r40],16      
-     nop.i 999 ;;
+
+{.mmi
+       // load cs9 = 55*13/128
+       setf.s F_CS9 = R_TMP
+       // sqrt coefficient cs5 = 7/8
+       mov R_TMP3 = 0x3f60
+       // sqrt coefficient cs6 = 21/16
+       shl R_TMP6 = R_TMP6, 16;;
 }
 
-{ .mmi
-(p0) ldfe       acos_A10        = [r40],16 ;;      
-(p0) ldfe       acos_A9         = [r40],16      
-     nop.i 999 ;;
+
+{.mmi
+       // load significand of 1/(1-t^2)
+       ldf8 F_INV_1T2 = [r2], 8
+       // sqrt coefficient cs7 = 33/16
+       setf.s F_CS7 = R_TMP2
+       // sqrt coefficient cs4 = -5/8
+       mov R_TMP5 = 0xbf20;;
 }
 
-// Take the absolute value of f8
-{ .mmf
-      nop.m 999
-(p0)  getf.exp   acos_GR_signexp_f8  = acos_NORM_f8                           
-(p0)  fmerge.s  acos_ABS_NORM_f8 = f0, acos_NORM_f8 
+
+{.mmi
+       // load significand of sqrt(1-t^2)
+       ldf8 F_SQRT_1T2 = [r2], 8
+       // sqrt coefficient cs6 = 21/16
+       setf.s F_CS6 = R_TMP6
+       // sqrt coefficient cs5 = 7/8
+       shl R_TMP3 = R_TMP3, 16;;
 }
 
-{ .mii
-(p0) ldfe       acos_A8         = [r40],16      
-     nop.i 999 ;;
-(p0) and        acos_GR_exp         = acos_GR_signexp_f8, acos_GR_17_ones ;;    
+
+{.mmi
+       // sqrt coefficient cs3 = 0.5 (set exponent = bias-1)
+       setf.exp F_CS3 = R_TMP4
+       // r3 = pointer to polynomial coefficients
+       addl r3 = @ltoff(poly_coeffs), gp
+       // sqrt coefficient cs4 = -5/8
+       shl R_TMP5 = R_TMP5, 16;;
 }
 
-// case 1: |x| < 2^-25         ==> p6   ACOS_TINY
-// case 2: 2^-25 <= |x| < 2^-2 ==> p8   ACOS_POLY
-// case 3: 2^-2  <= |x| < 1    ==> p9   ACOS_ATAN
-// case 4: 1     <= |x|        ==> p11  ACOS_ERROR_RETURN
-//  Admittedly |x| = 1 is not an error but this is where that case is
-//  handled.
 
-{ .mii
-(p0) ldfe       acos_A7         = [r40],16      
-(p0) sub        acos_GR_true_exp    = acos_GR_exp, acos_GR_16_ones ;;           
-(p0) cmp.ge.unc p6, p7    = -26, acos_GR_true_exp ;;                            
+{.mfi
+       // sqrt coefficient cs5 = 7/8
+       setf.s F_CS5 = R_TMP3
+       // d = s-t
+       fms.s1 F_D = f8, f1, F_T
+       // set p6 = 1 if s<0, p11 = 1 if s> = 0
+       cmp.ge p6, p11 = R_EXP, R_DBL_S
 }
 
-{ .mii
-(p0) ldfe       acos_A6         = [r40],16      
-(p7) cmp.ge.unc p8, p9    = -3,  acos_GR_true_exp ;;                            
-(p9) cmp.ge.unc p10, p11  =  -1, acos_GR_true_exp                            
+{.mfi
+       // r3 = load start address to polynomial coefficients
+       ld8 r3 = [r3]
+       // s+t
+       fma.s1 F_S2T2 = f8, f1, F_T
+       nop.i 0;;
 }
 
-{ .mmi
-(p0) ldfe       acos_A5         = [r40],16 ;;      
-(p0) ldfe       acos_A4         = [r40],16      
-      nop.i 999 ;;
+
+{.mfi
+       // sqrt coefficient cs4 = -5/8
+       setf.s F_CS4 = R_TMP5
+       // s^2-t^2
+       fma.s1 F_S2T2 = F_S2T2, F_D, f0
+       nop.i 0;;
 }
 
-{ .mmi
-(p0) ldfe       acos_A3         = [r40],16 ;;      
-(p0) ldfe       acos_A2         = [r40],16      
-      nop.i 999 ;;
+
+{.mfi
+       // load C3
+       ldfe F_C3 = [r3], 16
+       // 0.5/(1-t^2) = 2^{-64}*(2^63/(1-t^2))
+       fma.s1 F_INV_1T2 = F_INV_1T2, F_2M64, f0
+       nop.i 0;;
 }
 
-// ACOS_ERROR_RETURN ==> p11 is true
-// case 4: |x| >= 1
-{ .mib
-(p0)  ldfe       acos_A1         = [r40],16      
-      nop.i 999
-(p11) br.spnt         L(ACOS_ERROR_RETURN) ;; 
+{.mfi
+       // load C_5
+       ldfe F_C5 = [r3], 16
+       // set correct exponent for sqrt(1-t^2)
+       fma.s1 F_SQRT_1T2 = F_SQRT_1T2, F_2M64, f0
+       nop.i 0;;
 }
 
-// ACOS_TINY ==> p6 is true
-// case 1: |x| < 2^-25
-{ .mfi
-      nop.m 999
-(p6)  fms.s1        acos_xmpi_by_2_lo = acos_NORM_f8,f1, acos_pi_by_2_lo 
-      nop.i 999 ;;
+
+{.mfi
+       // load C_7, C_9
+       ldfpd F_C7, F_C9 = [r3], 16
+       // x = -(s^2-t^2)/(1-t^2)/2
+       fnma.s1 F_X = F_INV_1T2, F_S2T2, f0
+       nop.i 0;;
 }
 
-{ .mfb
-           nop.m 999
-(p6)  fms.s0         f8 = acos_pi_by_2_hi,f1, acos_xmpi_by_2_lo                
-(p6)  br.ret.spnt   b0 ;;                                                   
+
+{.mmf
+       // load asin(t)_high, asin(t)_low
+       ldfpd F_ATHI, F_ATLO = [r2]
+	   // load pi/2
+	   ldfpd F_PI2_LO, F_PI2_HI = [r3]
+       // t*sqrt(1-t^2)
+       fma.s1 F_TSQRT = F_T, F_SQRT_1T2, f0;;
 }
 
 
+{.mfi
+       nop.m 0
+       // cs9*x+cs8
+       fma.s1 F_S89 = F_CS9, F_X, F_CS8
+       nop.i 0
+}
 
-// ACOS_POLY ==> p8 is true
-// case 2: 2^-25 <= |x| < 2^-2                   
-{ .mfi
-      nop.m 999
-(p8)  fms.s1        acos_W       = acos_pi_by_2_hi, f1, acos_NORM_f8     
-      nop.i 999 ;;
+{.mfi
+       nop.m 0
+       // cs7*x+cs6
+       fma.s1 F_S67 = F_CS7, F_X, F_CS6
+       nop.i 0;;
 }
 
-{ .mfi
-      nop.m 999
-(p8)  fma.s1        acos_X2   = f8,f8, f0                                
-      nop.i 999 ;;
+{.mfi
+       nop.m 0
+       // cs5*x+cs4
+       fma.s1 F_S45 = F_CS5, F_X, F_CS4
+       nop.i 0
 }
 
-{ .mfi
-      nop.m 999
-(p8)  fms.s1        acos_Ww      = acos_pi_by_2_hi, f1, acos_W           
-      nop.i 999 ;;
+{.mfi
+       nop.m 0
+       // x*x
+       fma.s1 F_X2 = F_X, F_X, f0
+       nop.i 0;;
 }
 
-{ .mfi
-      nop.m 999
-(p8)  fma.s1        acos_X4   = acos_X2,acos_X2, f0                      
-      nop.i 999 ;;
+
+{.mfi
+       nop.m 0
+       // (s-t)-t*x
+       fnma.s1 F_DTX = F_T, F_X, F_D
+       nop.i 0
 }
 
-{ .mfi
-      nop.m 999
-(p8)  fms.s1        acos_Ww      = acos_Ww, f1, acos_NORM_f8             
-      nop.i 999 ;;
+{.mfi
+       nop.m 0
+       // cs3*x+cs2 (cs2 = -0.5 = -cs3)
+       fms.s1 F_S23 = F_CS3, F_X, F_CS3
+       nop.i 0;;
 }
 
-{ .mfi
-      nop.m 999
-(p8)  fma.s1        acos_P810 = acos_X4, acos_A10, acos_A8               
-      nop.i 999
+{.mfi
+  nop.m 0
+  // if sign is negative, negate table values: asin(t)_low
+  (p6) fnma.s1 F_ATLO = F_ATLO, f1, f0
+  nop.i 0
 }
 
-// acos_P79  = X4*A9   + A7
-// acos_P810 = X4*A10  + A8
-{ .mfi
-      nop.m 999
-(p8)  fma.s1        acos_P79  = acos_X4, acos_A9, acos_A7                
-      nop.i 999 ;;
+{.mfi
+  nop.m 0
+  // if sign is negative, negate table values: asin(t)_high
+  (p6) fnma.s1 F_ATHI = F_ATHI, f1, f0
+  nop.i 0;;
 }
 
-{ .mfi
-      nop.m 999
-(p8)  fma.s1        acos_Ww      = acos_Ww, f1, acos_pi_by_2_lo          
-      nop.i 999 ;;
+
+{.mfi
+       nop.m 0
+       // cs9*x^3+cs8*x^2+cs7*x+cs6
+       fma.s1 F_S69 = F_S89, F_X2, F_S67
+       nop.i 0
 }
 
-{ .mfi
-      nop.m 999
-(p8)  fma.s1        acos_P610 = acos_X4, acos_P810, acos_A6              
-      nop.i 999
+{.mfi
+       nop.m 0
+       // x^4
+       fma.s1 F_X4 = F_X2, F_X2, f0
+       nop.i 0;;
 }
 
 
-// acos_P59   = X4*(X4*A9   + A7)  + A5
-// acos_P610  = X4*(X4*A10  + A8)  + A6
-{ .mfi
-      nop.m 999
-(p8)  fma.s1        acos_P59  = acos_X4, acos_P79, acos_A5               
-      nop.i 999 ;;
+{.mfi
+       nop.m 0
+       // t*sqrt(1-t^2)*x^2
+       fma.s1 F_TSQRT = F_TSQRT, F_X2, f0
+       nop.i 0
 }
 
-{ .mfi
-      nop.m 999
-(p8)  fma.s1        acos_P410 = acos_X4, acos_P610, acos_A4              
-      nop.i 999
+{.mfi
+       nop.m 0
+       // cs5*x^3+cs4*x^2+cs3*x+cs2
+       fma.s1 F_S25 = F_S45, F_X2, F_S23
+       nop.i 0;;
 }
 
-// acos_P39   = X4*(X4*(X4*A9   + A7)  + A5) + A3
-// acos_P410  = X4*(X4*(X4*A10  + A8)  + A6) + A4
-{ .mfi
-      nop.m 999
-(p8)  fma.s1        acos_P39  = acos_X4, acos_P59, acos_A3               
-      nop.i 999 ;;
+
+{.mfi
+       nop.m 0
+       // ((s-t)-t*x)*sqrt(1-t^2)
+       fma.s1 F_DTX = F_DTX, F_SQRT_1T2, f0
+       nop.i 0;;
 }
 
-{ .mfi
-      nop.m 999
-(p8)  fma.s1        acos_P210 = acos_X4, acos_P410, acos_A2              
-      nop.i 999
+{.mfi
+       nop.m 0
+       // (pi/2)_high - asin(t)_high
+       fnma.s1 F_ATHI = F_ATHI, f1, F_PI2_HI
+       nop.i 0
 }
 
-// acos_P19   = X4*(X4*(X4*(X4*A9   + A7)  + A5) + A3) + A1 = P1
-// acos_P210  = X4*(X4*(X4*(X4*A10  + A8)  + A6) + A4) + A2 = P2
-{ .mfi
-      nop.m 999
-(p8)  fma.s1        acos_P19  = acos_X4, acos_P39, acos_A1               
-      nop.i 999 ;;
+{.mfi
+       nop.m 0
+       // asin(t)_low - (pi/2)_low
+       fnma.s1 F_ATLO = F_PI2_LO, f1, F_ATLO
+	   nop.i 0;;
 }
 
-// acos_P1P2 = Xsq*P2 + P1
-// acos_P1P2 = Xsq*(Xsq*P2 + P1)
-{ .mfi
-      nop.m 999
-(p8)  fma.s1        acos_P1P2    = acos_X2, acos_P210, acos_P19          
-      nop.i 999 ;;
+
+{.mfi
+       nop.m 0
+       // PS29 = cs9*x^7+..+cs5*x^3+cs4*x^2+cs3*x+cs2
+       fma.s1 F_S29 = F_S69, F_X4, F_S25
+       nop.i 0;;
 }
 
-{ .mfi
-      nop.m 999
-(p8)  fma.s1        acos_P1P2    = acos_X2, acos_P1P2, f0                
-      nop.i 999 ;;
+
+
+{.mfi
+       nop.m 0
+       // R = ((s-t)-t*x)*sqrt(1-t^2)-t*sqrt(1-t^2)*x^2*PS29
+       fnma.s1 F_R = F_S29, F_TSQRT, F_DTX
+       nop.i 0;;
 }
 
-{ .mfi
-      nop.m 999
-(p8)  fms.s1        acos_xPmw    = acos_NORM_f8, acos_P1P2, acos_Ww       
-      nop.i 999 ;;
+
+{.mfi
+       nop.m 0
+       // R^2
+       fma.s1 F_R2 = F_R, F_R, f0
+       nop.i 0;;
 }
 
-{ .mfb
-      nop.m 999
-(p8)  fms.s0         f8           = acos_W, f1, acos_xPmw                 
-(p8)  br.ret.spnt   b0 ;;                                                   
+
+{.mfi
+       nop.m 0
+       // c7+c9*R^2
+       fma.s1 F_P79 = F_C9, F_R2, F_C7
+       nop.i 0
 }
 
+{.mfi
+       nop.m 0
+       // c3+c5*R^2
+       fma.s1 F_P35 = F_C5, F_R2, F_C3
+       nop.i 0;;
+}
 
-// ACOS_ATAN
-// case 3: 2^-2  <= |x| < 1                      
-// case 3: 2^-2  <= |x| < 1    ==> p9   ACOS_ATAN
+{.mfi
+       nop.m 0
+       // R^3
+       fma.s1 F_R4 = F_R2, F_R2, f0
+       nop.i 0;;
+}
 
-// Step 1.1:     Get A,B and a,b
-// A + a = 1- |X|
-// B + b = 1+ |X|
-// Note also that we will use  acos_corr (f13)
-// and                         acos_W
+{.mfi
+       nop.m 0
+       // R^3
+       fma.s1 F_R3 = F_R2, F_R, f0
+       nop.i 0;;
+}
 
-// Step 2
-// Call __libm_atan2_reg
 
 
-{ .mfi
-(p0)  mov    acos_GR_fffe = 0xfffe                      
-(p0)  fma.s1 acos_B          = f1,f1,  acos_ABS_NORM_f8                            
-(p0)  mov   GR_SAVE_B0 = b0 ;;                                
+{.mfi
+       nop.m 0
+       // c3+c5*R^2+c7*R^4+c9*R^6
+       fma.s1 F_P39 = F_P79, F_R4, F_P35
+       nop.i 0;;
 }
 
-{ .mmf
-(p0)  mov   GR_SAVE_GP = gp                                
-      nop.m 999
-(p0)  fms.s1 acos_A   = f1,f1,  acos_ABS_NORM_f8                            
+
+{.mfi
+       nop.m 0
+       // asin(t)_low+R^3*(c3+c5*R^2+c7*R^4+c9*R^6)
+       fma.s1 F_P39 = F_P39, F_R3, F_ATLO
+       nop.i 0;;
 }
 
-{ .mfi
-(p0)  setf.exp       acos_HALF = acos_GR_fffe                   
-      nop.f 999
-      nop.i 999 ;;
+
+{.mfi
+       nop.m 0
+       // R+asin(t)_low+R^3*(c3+c5*R^2+c7*R^4+c9*R^6)
+       fma.s1 F_P39 = F_P39, f1, F_R
+       nop.i 0;;
 }
 
-{ .mfi
-      nop.m 999
-(p0)  fms.s1 acos_1mB = f1,f1, acos_B                                       
-      nop.i 999 ;;
+
+{.mfb
+       nop.m 0
+       // result = (pi/2)-asin(t)_high+R+asin(t)_low+R^3*(c3+c5*R^2+c7*R^4+c9*R^6)
+       fnma.s0 f8 = F_P39, f1, F_ATHI
+       // return
+       br.ret.sptk b0;;
 }
 
-// We want atan2(V,U)
-//   so put V in f8 and U in f9
-//   but save X in acos_X
 
-{ .mfi
-      nop.m 999
-(p0)  fmerge.se acos_X = f8, f8                               
-      nop.i 999 ;;
+
+
+LARGE_S:
+
+{.mfi
+       // bias-1
+       mov R_TMP3 = 0xffff - 1
+       // y ~ 1/sqrt(1-s^2)
+       frsqrta.s1 F_Y, p7 = F_1S2
+       // c9 = 55*13*17/128
+       mov R_TMP4 = 0x10af7b
 }
 
-// Step 1.2:
-/////////////////////////
-// Get U = sqrt(B)
-/////////////////////////
+{.mlx
+       // c8 = -33*13*15/128
+       mov R_TMP5 = 0x184923
+       movl R_TMP2 = 0xff00000000000000;;
+}
 
-{ .mfi
-      nop.m 999
-(p0)  frsqrta.s1     acos_y0,p8  = acos_B                                
-      nop.i 999
+{.mfi
+       // set p6 = 1 if s<0, p11 = 1 if s>0
+       cmp.ge p6, p11 = R_EXP, R_DBL_S
+       // 1-s^2
+       fnma.s1 F_1S2 = f8, f8, f1
+       // set p9 = 1
+       cmp.eq p9, p0 = r0, r0;;
 }
 
-{ .mfi
-      nop.m 999
-(p0)  fms.s1 acos_1mA = f1,f1, acos_A                                       
-      nop.i 999 ;;
+
+{.mfi
+       // load 0.5
+       setf.exp F_05 = R_TMP3
+       // (1-s^2) rounded to single precision
+       fnma.s.s1 F_1S2_S = f8, f8, f1
+       // c9 = 55*13*17/128
+       shl R_TMP4 = R_TMP4, 10
 }
 
-{ .mfi
-      nop.m 999
-(p0)  fma.s1 acos_Bb  = acos_1mB,f1, acos_ABS_NORM_f8                       
-      nop.i 999 ;;
+{.mlx
+       // AND mask for getting t ~ sqrt(1-s^2)
+       setf.sig F_ANDMASK = R_TMP2
+       // OR mask
+       movl R_TMP2 = 0x0100000000000000;;
 }
 
-{ .mfi
-      nop.m 999
-(p0)  fma.s1         acos_Hh     = acos_HALF, acos_B, f0                 
-      nop.i 999 ;;
+.pred.rel "mutex", p6, p11
+{.mfi
+       nop.m 0
+	   // 1-|s|
+ (p6)  fma.s1 F_1AS = f8, f1, f1
+       nop.i 0
 }
 
-{ .mfi
-      nop.m 999
-(p0)  fma.s1         acos_t1     = acos_y0, acos_y0, f0                  
-      nop.i 999
+{.mfi
+       nop.m 0
+       // 1-|s|
+ (p11) fnma.s1 F_1AS = f8, f1, f1
+       nop.i 0;;
 }
 
-{ .mfi
-      nop.m 999
-(p0)  fms.s1 acos_Aa  = acos_1mA,f1, acos_ABS_NORM_f8                       
-      nop.i 999 ;;
+
+{.mfi
+       // c9 = 55*13*17/128
+       setf.s F_CS9 = R_TMP4
+	   // |s|
+ (p6)  fnma.s1 F_AS = f8, f1, f0
+       // c8 = -33*13*15/128
+       shl R_TMP5 = R_TMP5, 11
 }
 
-{ .mfi
-      nop.m 999
-(p0)  fnma.s1        acos_t2     = acos_t1, acos_Hh, acos_HALF           
-      nop.i 999 ;;
+{.mfi
+       // c7 = 33*13/16
+       mov R_TMP4 = 0x41d68
+	   // |s|
+ (p11) fma.s1 F_AS = f8, f1, f0
+       nop.i 0;;
 }
 
-{ .mfi
-      nop.m 999
-(p0)  fma.s1         acos_y1     = acos_t2, acos_y0, acos_y0             
-      nop.i 999
+
+{.mfi
+       setf.sig F_ORMASK = R_TMP2
+       // y^2
+       fma.s1 F_Y2 = F_Y, F_Y, f0
+       // c7 = 33*13/16
+       shl R_TMP4 = R_TMP4, 12
 }
 
+{.mfi
+       // c6 = -33*7/16
+       mov R_TMP6 = 0xc1670
+       // y' ~ sqrt(1-s^2)
+       fma.s1 F_T1 = F_Y, F_1S2, f0
+       // c5 = 63/8
+       mov R_TMP7 = 0x40fc;;
+}
 
-// Step 1.2:
-/////////////////////////
-// Get V = sqrt(A)
-/////////////////////////
-{ .mfi
-      nop.m 999
-(p0)  frsqrta.s1     acos_y0,p8  = acos_A                                
-      nop.i 999 ;;
+
+{.mlx
+       // load c8 = -33*13*15/128
+       setf.s F_CS8 = R_TMP5
+       // c4 = -35/8
+       movl R_TMP5 = 0xc08c0000;;
 }
 
-{ .mfi
-      nop.m 999
-(p0)  fma.s1         acos_t3     = acos_y1, acos_Hh, f0                  
-      nop.i 999 ;;
+{.mfi
+       // r3 = pointer to polynomial coefficients
+       addl r3 = @ltoff(poly_coeffs), gp
+       // 1-s-(1-s^2)_s
+       fnma.s1 F_DS = F_1S2_S, f1, F_1AS
+       // p9 = 0 if p7 = 1 (p9 = 1 for special cases only)
+ (p7) cmp.ne p9, p0 = r0, r0
 }
 
-{ .mfi
-      nop.m 999
-(p0)  fma.s1         acos_t1     = acos_y0, acos_y0, f0                  
-      nop.i 999 ;;
+{.mlx
+       // load c7 = 33*13/16
+       setf.s F_CS7 = R_TMP4
+       // c3 = 5/2
+       movl R_TMP4 = 0x40200000;;
 }
 
-{ .mfi
-      nop.m 999
-(p0)  fnma.s1        acos_t4     = acos_t3, acos_y1, acos_HALF           
-      nop.i 999 ;;
+
+{.mlx
+       // load c4 = -35/8
+       setf.s F_CS4 = R_TMP5
+       // c2 = -3/2
+       movl R_TMP5 = 0xbfc00000;;
 }
 
-{ .mfi
-      nop.m 999
-(p0)  fma.s1         acos_y2     = acos_t4, acos_y1, acos_y1             
-      nop.i 999 ;;
+
+{.mfi
+       // load c3 = 5/2
+       setf.s F_CS3 = R_TMP4
+       // x = (1-s^2)_s*y^2-1
+       fms.s1 F_X = F_1S2_S, F_Y2, f1
+       // c6 = -33*7/16
+       shl R_TMP6 = R_TMP6, 12
 }
 
-{ .mfi
-      nop.m 999
-(p0)  fma.s1         acos_S      = acos_B, acos_y2, f0                   
-      nop.i 999
+{.mfi
+       nop.m 0
+       // y^2/2
+       fma.s1 F_Y2_2 = F_Y2, F_05, f0
+       nop.i 0;;
 }
 
-{ .mfi
-      nop.m 999
-(p0)  fma.s1         acos_H      = acos_y2, acos_HALF, f0                
-      nop.i 999 ;;
+
+{.mfi
+       // load c6 = -33*7/16
+       setf.s F_CS6 = R_TMP6
+       // eliminate lower bits from y'
+       fand F_T = F_T1, F_ANDMASK
+       // c5 = 63/8
+       shl R_TMP7 = R_TMP7, 16
 }
 
-{ .mfi
-      nop.m 999
-(p0)  fma.s1         acos_t5     = acos_Hh, acos_y2, f0                  
-      nop.i 999
+
+{.mfb
+       // r3 = load start address to polynomial coefficients
+       ld8 r3 = [r3]
+       // 1-(1-s^2)_s-s^2
+       fma.s1 F_DS = F_AS, F_1AS, F_DS
+       // p9 = 1 if s is a special input (NaN, or |s|> = 1)
+ (p9) br.cond.spnt acosl_SPECIAL_CASES;;
 }
 
-{ .mfi
-      nop.m 999
-(p0)  fma.s1         acos_Hh     = acos_HALF, acos_A, f0                 
-      nop.i 999 ;;
+{.mmf
+       // get exponent, significand of y' (in single prec.)
+       getf.s R_TMP = F_T1
+       // load c3 = -3/2
+       setf.s F_CS2 = R_TMP5
+       // y*(1-s^2)
+       fma.s1 F_Y1S2 = F_Y, F_1S2, f0;;
 }
 
-{ .mfi
-      nop.m 999
-(p0)  fnma.s1        acos_Dd     = acos_S, acos_S, acos_B                
-      nop.i 999 ;;
+
+
+{.mfi
+       nop.m 0
+       // if s<0, set s = -s
+ (p6) fnma.s1 f8 = f8, f1, f0
+       nop.i 0;;
 }
 
-{ .mfi
-      nop.m 999
-(p0)  fnma.s1        acos_t2     = acos_t1, acos_Hh, acos_HALF           
-      nop.i 999 ;;
+
+{.mfi
+       // load c5 = 63/8
+       setf.s F_CS5 = R_TMP7
+       // x = (1-s^2)_s*y^2-1+(1-(1-s^2)_s-s^2)*y^2
+       fma.s1 F_X = F_DS, F_Y2, F_X
+       // for t = 2^k*1.b1 b2.., get 7-k|b1.. b6
+       extr.u R_INDEX = R_TMP, 17, 9;;
 }
 
-{ .mfi
-      nop.m 999
-(p0)  fma.s1         acos_U      = acos_Dd, acos_H, acos_S               
-      nop.i 999 ;;
+
+{.mmi
+       // index = (4-exponent)|b1 b2.. b6
+       sub R_INDEX = R_INDEX, R_BIAS
+       nop.m 0
+       // get exponent of y
+       shr.u R_TMP2 = R_TMP, 23;;
 }
 
-{ .mfi
-      nop.m 999
-(p0)  fma.s1         acos_y1     = acos_t2, acos_y0, acos_y0             
-      nop.i 999 ;;
+{.mmi
+       // load C3
+       ldfe F_C3 = [r3], 16
+       // set p8 = 1 if y'<2^{-4}
+       cmp.gt p8, p0 = 0x7b, R_TMP2
+       // shift R_INDEX by 5
+       shl R_INDEX = R_INDEX, 5;;
 }
 
-{ .mfi
-      nop.m 999
-(p0)  fma.s1         acos_2U       = acos_U, f1, acos_U                  
-      nop.i 999 ;;
+
+{.mfb
+       // get table index for sqrt(1-t^2)
+       add r2 = r2, R_INDEX
+       // get t = 2^k*1.b1 b2.. b7 1
+       for F_T = F_T, F_ORMASK
+ (p8) br.cond.spnt VERY_LARGE_INPUT;;
 }
 
-{ .mfi
-      nop.m 999
-(p0)  fma.s1         acos_t3     = acos_y1, acos_Hh, f0                  
-      nop.i 999
+
+
+{.mmf
+       // load C5
+       ldfe F_C5 = [r3], 16
+       // load 1/(1-t^2)
+       ldfp8 F_INV_1T2, F_SQRT_1T2 = [r2], 16
+       // x = ((1-s^2)*y^2-1)/2
+       fma.s1 F_X = F_X, F_05, f0;;
 }
 
 
-// Step 1.3: 
-// sqrt(A + a) = V + v
-// sqrt(B + b) = U + u
 
-/////////////////////////
-// Get u
-/////////////////////////
+{.mmf
+       nop.m 0
+       // C7, C9
+       ldfpd F_C7, F_C9 = [r3], 16
+       // set correct exponent for t
+       fmerge.se F_T = F_T1, F_T;;
+}
 
-// acos_BmUU   = B - UU
-// acos_BmUUpb = (B - UU) + b
 
-{ .mfi
-      nop.m 999
-(p0)  fnma.s1        acos_BmUU     = acos_U, acos_U, acos_B              
-      nop.i 999 ;;
+
+{.mfi
+       // get address for loading pi
+	   add r3 = 48, r3
+       // c9*x+c8
+       fma.s1 F_S89 = F_X, F_CS9, F_CS8
+       nop.i 0
 }
 
-{ .mfi
-      nop.m 999
-(p0)   fmerge.se f9 = acos_U, acos_U                           
-      nop.i 999 ;;
+{.mfi
+       nop.m 0
+       // x^2
+       fma.s1 F_X2 = F_X, F_X, f0
+       nop.i 0;;
 }
 
-{ .mfi
-      nop.m 999
-(p0)  fnma.s1        acos_t4     = acos_t3, acos_y1, acos_HALF           
-      nop.i 999 ;;
+
+{.mfi
+       // pi (low, high)
+       ldfpd F_PI2_LO, F_PI2_HI = [r3]
+       // y*(1-s^2)*x
+       fma.s1 F_Y1S2X = F_Y1S2, F_X, f0
+       nop.i 0
 }
 
-// acos_1d2U = frcpa(2U)
-{ .mfi
-      nop.m 999
-(p0)  frcpa.s1       acos_1d2U,p9  = f1, acos_2U                         
-      nop.i 999
+{.mfi
+       nop.m 0
+       // c7*x+c6
+       fma.s1 F_S67 = F_X, F_CS7, F_CS6
+       nop.i 0;;
 }
 
-{ .mfi
-      nop.m 999
-(p0)  fma.s1         acos_BmUUpb   = acos_BmUU, f1, acos_Bb              
-      nop.i 999 ;;
+
+{.mfi
+       nop.m 0
+       // 1-x
+       fnma.s1 F_1X = F_X, f1, f1
+       nop.i 0
 }
 
-{ .mfi
-      nop.m 999
-(p0)  fma.s1         acos_y2     = acos_t4, acos_y1, acos_y1             
-      nop.i 999 ;;
+{.mfi
+       nop.m 0
+       // c3*x+c2
+       fma.s1 F_S23 = F_X, F_CS3, F_CS2
+       nop.i 0;;
 }
 
-{ .mfi
-      nop.m 999
-// acos_Uu = ((B - UU) + b) * frcpa(2U)
-(p0)  fma.s1         acos_Uu       = acos_BmUUpb, acos_1d2U, f0          
-      nop.i 999 ;;
+
+{.mfi
+       nop.m 0
+       // 1-t^2
+       fnma.s1 F_1T2 = F_T, F_T, f1
+       nop.i 0
 }
 
-{ .mfi
-      nop.m 999
-(p0)  fma.s1         acos_S      = acos_A, acos_y2, f0                   
-      nop.i 999
+{.mfi
+       // load asin(t)_high, asin(t)_low
+       ldfpd F_ATHI, F_ATLO = [r2]
+       // c5*x+c4
+       fma.s1 F_S45 = F_X, F_CS5, F_CS4
+       nop.i 0;;
 }
 
-{ .mfi
-      nop.m 999
-(p0)  fma.s1         acos_H      = acos_y2, acos_HALF, f0                
-      nop.i 999 ;;
+
+
+{.mfi
+       nop.m 0
+       // t*s
+       fma.s1 F_TS = F_T, f8, f0
+       nop.i 0
 }
 
-{ .mfi
-      nop.m 999
-(p0)  fma.s1         acos_t5     = acos_Hh, acos_y2, f0                  
-      nop.i 999 ;;
+{.mfi
+       nop.m 0
+       // 0.5/(1-t^2)
+       fma.s1 F_INV_1T2 = F_INV_1T2, F_2M64, f0
+       nop.i 0;;
 }
 
-{ .mfi
-      nop.m 999
-(p0)  fnma.s1        acos_Dd     = acos_S, acos_S, acos_A                
-      nop.i 999 ;;
+{.mfi
+       nop.m 0
+       // z~sqrt(1-t^2), rounded to 24 significant bits
+       fma.s.s1 F_Z = F_SQRT_1T2, F_2M64, f0
+       nop.i 0
 }
 
-{ .mfi
-      nop.m 999
-(p0)  fma.s1         acos_V      = acos_Dd, acos_H, acos_S               
-      nop.i 999 ;;
+{.mfi
+       nop.m 0
+       // sqrt(1-t^2)
+       fma.s1 F_SQRT_1T2 = F_SQRT_1T2, F_2M64, f0
+       nop.i 0;;
 }
 
-{ .mfi
-      nop.m 999
-(p0)  fma.s1         acos_2V       = acos_V, f1, acos_V                  
-      nop.i 999
+
+{.mfi
+       nop.m 0
+       // y*(1-s^2)*x^2
+       fma.s1 F_Y1S2X2 = F_Y1S2, F_X2, f0
+       nop.i 0
 }
 
-// Step 3
-/////////////////////////
-// Calculate the correction, acos_corr
-/////////////////////////
-// acos_corr = U*v - (V*u)
+{.mfi
+       nop.m 0
+       // x^4
+       fma.s1 F_X4 = F_X2, F_X2, f0
+       nop.i 0;;
+}
 
-{ .mfi
-      nop.m 999
-(p0)  fma.s1  acos_Vu   = acos_V,acos_Uu, f0                  
-      nop.i 999 ;;
+
+{.mfi
+       nop.m 0
+       // s*t rounded to 24 significant bits
+       fma.s.s1 F_TSS = F_T, f8, f0
+       nop.i 0
 }
 
-/////////////////////////
-// Get v
-/////////////////////////
-// acos_AmVV   = A - VV
-// acos_AmVVpa = (A - VV) + a
+{.mfi
+       nop.m 0
+       // c9*x^3+..+c6
+       fma.s1 F_S69 = F_X2, F_S89, F_S67
+       nop.i 0;;
+}
 
-{ .mfi
-      nop.m 999
-(p0)  fnma.s1        acos_AmVV     = acos_V, acos_V, acos_A              
-      nop.i 999 ;;
+
+{.mfi
+       nop.m 0
+       // ST = (t^2-1+s^2) rounded to 24 significant bits
+       fms.s.s1 F_ST = f8, f8, F_1T2
+       nop.i 0
 }
 
-{ .mfi
-      nop.m 999
-(p0)   fmerge.se f8 = acos_V, acos_V                           
-      nop.i 999 ;;
+{.mfi
+       nop.m 0
+       // c5*x^3+..+c2
+       fma.s1 F_S25 = F_X2, F_S45, F_S23
+       nop.i 0;;
 }
 
-{ .mfi
-      nop.m 999
-(p0)  fma.s1         acos_AmVVpa   = acos_AmVV, f1, acos_Aa              
-      nop.i 999 ;;
+
+{.mfi
+       nop.m 0
+       // 0.25/(1-t^2)
+       fma.s1 F_INV1T2_2 = F_05, F_INV_1T2, f0
+       nop.i 0
 }
 
-// acos_1d2V = frcpa(2V)
-{ .mfi
-      nop.m 999
-(p0)  frcpa.s1       acos_1d2V,p9  = f1, acos_2V                         
-      nop.i 999 ;;
+{.mfi
+       nop.m 0
+       // t*s-sqrt(1-t^2)*(1-s^2)*y
+       fnma.s1 F_TS = F_Y1S2, F_SQRT_1T2, F_TS
+       nop.i 0;;
 }
 
-// acos_Vv = ((A - VV) + a) * frcpa(2V)
-{ .mfi
-      nop.m 999
-(p0)  fma.s1         acos_Vv       = acos_AmVVpa, acos_1d2V, f0          
-      nop.i 999 ;;
+
+{.mfi
+       nop.m 0
+       // z*0.5/(1-t^2)
+       fma.s1 F_ZE = F_INV_1T2, F_SQRT_1T2, f0
+       nop.i 0
 }
 
-{ .mfi
-      nop.m 999
-(p0)   fma.s1  acos_Uv   = acos_U,acos_Vv, f0                  
-      nop.i 999 ;;
+{.mfi
+       nop.m 0
+       // z^2+t^2-1
+       fms.s1 F_DZ0 = F_Z, F_Z, F_1T2
+       nop.i 0;;
 }
 
 
-.endp acosl#
-ASM_SIZE_DIRECTIVE(acosl#)
+{.mfi
+       nop.m 0
+       // (1-s^2-(1-s^2)_s)*x
+       fma.s1 F_DS2X = F_X, F_DS, f0
+       nop.i 0;;
+}
 
 
-.proc __libm_callout
-__libm_callout:
-.prologue
-{ .mfi
-        nop.m 0
-        nop.f 0
-.save   ar.pfs,GR_SAVE_PFS
-        mov  GR_SAVE_PFS=ar.pfs
+{.mfi
+       nop.m 0
+       // t*s-(t*s)_s
+       fms.s1 F_DTS = F_T, f8, F_TSS
+       nop.i 0
 }
-;;
 
-{ .mfi
-        mov GR_SAVE_GP=gp
-        nop.f 0
-.save   b0, GR_SAVE_B0
-        mov GR_SAVE_B0=b0
+{.mfi
+       nop.m 0
+       // c9*x^7+..+c2
+       fma.s1 F_S29 = F_X4, F_S69, F_S25
+       nop.i 0;;
 }
 
-.body
-{ .mfb
-      nop.m 999
-(p0)   fms.s1  acos_corr = acos_Uv,f1, acos_Vu                 
-(p0)   br.call.sptk.many  b0=__libm_atan2_reg# ;;                        
+
+{.mfi
+       nop.m 0
+       // y*z
+       fma.s1 F_YZ = F_Z, F_Y, f0
+       nop.i 0
 }
 
+{.mfi
+       nop.m 0
+       // t^2
+       fma.s1 F_T2 = F_T, F_T, f0
+       nop.i 0;;
+}
 
-// p6 ==> X is negative
-// p7 ==> x is positive
-// We know that |X| >= 1/4
 
-{ .mfi
-(p0)   mov gp              = GR_SAVE_GP                           
-(p0)   fcmp.lt.unc   p6,p7 = acos_X , f0                       
-(p0)   mov b0              = GR_SAVE_B0 ;;                           
+{.mfi
+       nop.m 0
+       // 1-t^2+ST
+       fma.s1 F_1T2_ST = F_ST, f1, F_1T2
+       nop.i 0;;
 }
 
-// acos_2_Z_hi    = 2 * acos_Z_hi
-// acos_s_lo_Z_lo = s_lo * Z_lo
 
-{ .mfi
-       nop.m 999
-(p0)   fma.s1  acos_2_Z_hi      = acos_Z_hi, f1, acos_Z_hi               
-(p0)   mov ar.pfs               = GR_SAVE_PFS                                     
+{.mfi
+       nop.m 0
+       // y*(1-s^2)(1-x)
+       fma.s1 F_Y1S2_1X = F_Y1S2, F_1X, f0
+       nop.i 0
 }
 
-{ .mfi
-      nop.m 999
-(p0)   fma.s1  acos_s_lo_Z_lo   = acos_s_lo, acos_Z_lo, f0               
-      nop.i 999 ;;
+{.mfi
+       nop.m 0
+       // dz ~ sqrt(1-t^2)-z
+       fma.s1 F_DZ = F_DZ0, F_ZE, f0
+       nop.i 0;;
 }
 
-// 2 is a constant needed later
-{ .mfi
-      nop.m 999
-(p0)  fma.s1     acos_2 = f1,f1,f1                             
-      nop.i 999 ;;
+
+{.mfi
+       nop.m 0
+       // -1+correction for sqrt(1-t^2)-z
+       fnma.s1 F_CORR = F_INV1T2_2, F_DZ0, f0
+       nop.i 0;;
 }
 
-// X >= 1/4
-// acos_result_lo = 2(s_lo * Z_lo) - corr
-// f8             = (2*Z_hi) + (2(s_lo * Z_lo) - corr)
 
-{ .mfi
-      nop.m 999
-(p7)   fma.s1  acos_result_lo     = acos_s_lo_Z_lo, acos_2, acos_corr      
-      nop.i 999 ;;
+{.mfi
+       nop.m 0
+       // (PS29*x^2+x)*y*(1-s^2)
+       fma.s1 F_S19 = F_Y1S2X2, F_S29, F_Y1S2X
+       nop.i 0;;
 }
 
-{ .mfi
-      nop.m 999
-(p7)  fma.s0   f8                 = acos_2_Z_hi, f1, acos_result_lo        
-      nop.i 999
+{.mfi
+       nop.m 0
+       // z*y*(1-s^2)_s
+       fma.s1 F_ZY1S2S = F_YZ, F_1S2_S, f0
+       nop.i 0
 }
 
-// acos_result_lo = (pi_lo - corr)
-// acos_result_lo = (pi_lo - corr) + acos_Ww 
-{ .mfi
-      nop.m 999
-(p6)  fms.s1  acos_result_lo     = acos_pi_lo, f1, acos_corr              
-      nop.i 999 ;;
+{.mfi
+       nop.m 0
+       // s^2-(1-t^2+ST)
+       fms.s1 F_1T2_ST = f8, f8, F_1T2_ST
+       nop.i 0;;
 }
 
-// X <= -1/4
-// acos_W = pi_hi - 2 * Z_hi
-{ .mfi
-      nop.m 999
-(p6)  fnma.s1 acos_W             = acos_2, acos_Z_hi, acos_pi_hi          
-      nop.i 999 ;;
+
+{.mfi
+       nop.m 0
+       // (t*s-(t*s)_s)+z*y*(1-s^2-(1-s^2)_s)*x
+       fma.s1 F_DTS = F_YZ, F_DS2X, F_DTS
+       nop.i 0
 }
 
-// acos_Ww = pi_hi - W
-// acos_Ww = (pi_hi - W) + (2 * Z_hi)
-{ .mfi
-      nop.m 999
-(p6)  fms.s1  acos_Ww            = acos_pi_hi, f1, acos_W                 
-      nop.i 999 ;;
+{.mfi
+       nop.m 0
+       // dz*y*(1-s^2)*(1-x)
+       fma.s1 F_DZ_TERM = F_DZ, F_Y1S2_1X, f0
+       nop.i 0;;
 }
 
-{ .mfi
-      nop.m 999
-(p6)   fms.s1  acos_Ww            = acos_Ww, f1, acos_2_Z_hi               
-      nop.i 999 ;;
+
+{.mfi
+       nop.m 0
+       // R = t*s-sqrt(1-t^2)*(1-s^2)*y+sqrt(1-t^2)*(1-s^2)*y*PS19
+       // (used for polynomial evaluation)
+       fma.s1 F_R = F_S19, F_SQRT_1T2, F_TS
+       nop.i 0;;
 }
 
-{ .mfi
-      nop.m 999
-(p6)   fma.s1  acos_result_lo     = acos_result_lo, f1, acos_Ww            
-      nop.i 999 ;;
+
+{.mfi
+       nop.m 0
+       // (PS29*x^2)*y*(1-s^2)
+       fma.s1 F_S29 = F_Y1S2X2, F_S29, f0
+       nop.i 0
 }
 
-// acos_Z_lo = ((pi_lo - corr) + acos_Ww) - 2 * (s_lo * Z_lo)
-{ .mfi
-      nop.m 999
-(p6)  fnma.s1  acos_Z_lo          = acos_s_lo_Z_lo, acos_2, acos_result_lo 
-      nop.i 999 ;;
+{.mfi
+       nop.m 0
+       // apply correction to dz*y*(1-s^2)*(1-x)
+       fma.s1 F_DZ_TERM = F_DZ_TERM, F_CORR, F_DZ_TERM
+       nop.i 0;;
 }
 
-{ .mfb
-      nop.m 999
-(p6)  fma.s0   f8                  = acos_W, f1, acos_Z_lo                
-(p0)  br.ret.sptk   b0 ;;                          
+
+{.mfi
+       nop.m 0
+       // R^2
+       fma.s1 F_R2 = F_R, F_R, f0
+       nop.i 0;;
 }
-.endp __libm_callout
-ASM_SIZE_DIRECTIVE(__libm_callout)
 
-.proc SPECIAL
-SPECIAL:
-L(ACOS_NAN): 
-{ .mfb
-      nop.m 999
-(p0)  fma.s0 f8 = f8,f1,f0                       
-(p0)  br.ret.sptk   b0 ;;                          
+
+{.mfi
+       nop.m 0
+       // (t*s-(t*s)_s)+z*y*(1-s^2-(1-s^2)_s)*x+dz*y*(1-s^2)*(1-x)
+       fma.s1 F_DZ_TERM = F_DZ_TERM, f1, F_DTS
+       nop.i 0;;
 }
 
-L(ACOS_ERROR_RETURN): 
-// Save ar.pfs, b0, and gp; restore on exit
 
-// qnan snan inf norm     unorm 0 -+
-// 1    1    0   0        0     0 11 = 0xc3
+{.mfi
+       nop.m 0
+       // c7+c9*R^2
+       fma.s1 F_P79 = F_C9, F_R2, F_C7
+       nop.i 0
+}
 
-// Coming in as X = +- 1
-// What should we return?
+{.mfi
+       nop.m 0
+       // c3+c5*R^2
+       fma.s1 F_P35 = F_C5, F_R2, F_C3
+       nop.i 0;;
+}
 
-// If X is 1, return (sign of X)pi/2
+{.mfi
+       nop.m 0
+       // asin(t)_low-(pi)_low (if s<0)
+ (p6)  fms.s1 F_ATLO = F_ATLO, f1, F_PI2_LO
+       nop.i 0
+}
 
+{.mfi
+       nop.m 0
+       // R^4
+       fma.s1 F_R4 = F_R2, F_R2, f0
+       nop.i 0;;
+}
 
-{ .mfi
-      nop.m 999
-(p0)  fcmp.eq.unc p6,p7 = acos_ABS_NORM_f8,f1              
-      nop.i 999 ;;
+{.mfi
+       nop.m 0
+       // R^3
+       fma.s1 F_R3 = F_R2, F_R, f0
+       nop.i 0;;
 }
 
-{ .mfi
-      nop.m 999
-(p6)  fcmp.lt.unc p8,p9 = f8,f0                            
-      nop.i 999 ;;
+
+{.mfi
+       nop.m 0
+       // (t*s)_s-t^2*y*z
+       fnma.s1 F_TSS = F_T2, F_YZ, F_TSS
+       nop.i 0
 }
 
-{ .mfi
-      nop.m 999
-(p8)  fma.s0 f8          = acos_pi_hi, f1, acos_pi_lo       
-      nop.i 999
+{.mfi
+       nop.m 0
+       // d(ts)+z*y*d(1-s^2)*x+dz*y*(1-s^2)*(1-x)+z*y*(s^2-1+t^2-ST)
+       fma.s1 F_DZ_TERM = F_YZ, F_1T2_ST, F_DZ_TERM
+       nop.i 0;;
 }
 
-{ .mfb
-      nop.m 999
-(p9)  fmerge.s    f8 = f8,f0                               
-(p6)  br.ret.spnt   b0 ;;                                     
+
+{.mfi
+       nop.m 0
+       // (pi)_hi-asin(t)_hi (if s<0)
+ (p6)  fms.s1 F_ATHI = F_PI2_HI, f1, F_ATHI
+       nop.i 0
 }
 
-// If X is a NAN, leave
-{ .mfi
-      nop.m 999
-(p0)  fclass.m.unc p12,p0 = f8, 0xc3            
-      nop.i 999 ;;
+{.mfi
+       nop.m 0
+       // c3+c5*R^2+c7*R^4+c9*R^6
+       fma.s1 F_P39 = F_P79, F_R4, F_P35
+       nop.i 0;;
 }
 
-{ .mfb
-      nop.m 999
-(p12) fma.s0 f8 = f8,f1,f0                       
-(p12) br.ret.spnt   b0 ;;                          
+
+{.mfi
+       nop.m 0
+       // d(ts)+z*y*d(1-s^2)*x+dz*y*(1-s^2)*(1-x)+z*y*(s^2-1+t^2-ST)+
+       // + sqrt(1-t^2)*y*(1-s^2)*x^2*PS29
+       fma.s1 F_DZ_TERM = F_SQRT_1T2, F_S29, F_DZ_TERM
+       nop.i 0;;
 }
 
-{ .mfi
-(p0)   mov   GR_Parameter_TAG = 57 
-(p0)   frcpa f10, p6 = f0, f0
-nop.i 999
-};;
 
-.endp SPECIAL
-ASM_SIZE_DIRECTIVE(SPECIAL)
+{.mfi
+       nop.m 0
+       // (t*s)_s-t^2*y*z+z*y*ST
+       fma.s1 F_TSS = F_YZ, F_ST, F_TSS
+       nop.i 0
+}
 
-.proc __libm_error_region
-__libm_error_region:
+{.mfi
+       nop.m 0
+       // -asin(t)_low+R^3*(c3+c5*R^2+c7*R^4+c9*R^6)
+       fms.s1 F_P39 = F_P39, F_R3, F_ATLO
+       nop.i 0;;
+}
+
+
+{.mfi
+       nop.m 0
+       // d(ts)+z*y*d(1-s^2)*x+dz*y*(1-s^2)*(1-x)+z*y*(s^2-1+t^2-ST) +
+       // + sqrt(1-t^2)*y*(1-s^2)*x^2*PS29 +
+       // - asin(t)_low+R^3*(c3+c5*R^2+c7*R^4+c9*R^6)
+       fma.s1 F_DZ_TERM = F_P39, f1, F_DZ_TERM
+       nop.i 0;;
+}
+
+
+{.mfi
+       nop.m 0
+       // d(ts)+z*y*d(1-s^2)*x+dz*y*(1-s^2)*(1-x)+z*y*(s^2-1+t^2-ST) +
+       // + sqrt(1-t^2)*y*(1-s^2)*x^2*PS29 + z*y*(1-s^2)_s*x +
+       // - asin(t)_low+R^3*(c3+c5*R^2+c7*R^4+c9*R^6)
+       fma.s1 F_DZ_TERM = F_ZY1S2S, F_X, F_DZ_TERM
+       nop.i 0;;
+}
+
+
+{.mfi
+       nop.m 0
+       // d(ts)+z*y*d(1-s^2)*x+dz*y*(1-s^2)*(1-x)+z*y*(s^2-1+t^2-ST) +
+       // + sqrt(1-t^2)*y*(1-s^2)*x^2*PS29 + z*y*(1-s^2)_s*x +
+       // - asin(t)_low+R^3*(c3+c5*R^2+c7*R^4+c9*R^6) +
+       // + (t*s)_s-t^2*y*z+z*y*ST
+       fma.s1 F_DZ_TERM = F_TSS, f1, F_DZ_TERM
+       nop.i 0;;
+}
+
+
+.pred.rel "mutex", p6, p11
+{.mfi
+       nop.m 0
+       // result: add high part of table value
+       // s>0 in this case
+ (p11) fnma.s0 f8 = F_DZ_TERM, f1, F_ATHI
+       nop.i 0
+}
+
+{.mfb
+       nop.m 0
+       // result: add high part of pi-table value
+       // if s<0
+ (p6)  fma.s0 f8 = F_DZ_TERM, f1, F_ATHI
+       br.ret.sptk b0;;
+}
+
+
+
+
+
+
+SMALL_S:
+
+       // use 15-term polynomial approximation
+
+{.mmi
+       // r3 = pointer to polynomial coefficients
+       addl r3 = @ltoff(poly_coeffs), gp;;
+       // load start address for coefficients
+       ld8 r3 = [r3]
+       mov R_TMP = 0x3fbf;;
+}
+
+
+{.mmi
+       add r2 = 64, r3
+       ldfe F_C3 = [r3], 16
+       // p7 = 1 if |s|<2^{-64} (exponent of s<bias-64)
+       cmp.lt p7, p0 = R_EXP0, R_TMP;;
+}
+
+{.mmf
+       ldfe F_C5 = [r3], 16
+       ldfpd F_C11, F_C13 = [r2], 16
+	   nop.f 0;;
+}
+
+{.mmf
+       ldfpd F_C7, F_C9 = [r3], 16
+       ldfpd F_C15, F_C17 = [r2]
+       nop.f 0;;
+}
+
+
+
+{.mfb
+       // load pi/2
+       ldfpd F_PI2_LO, F_PI2_HI = [r3]
+       // s^2
+       fma.s1 F_R2 = f8, f8, f0
+	   // |s|<2^{-64}
+  (p7) br.cond.spnt  RETURN_PI2;;
+}
+
+
+{.mfi
+       nop.m 0
+       // s^3
+       fma.s1 F_R3 = f8, F_R2, f0
+       nop.i 0
+}
+
+{.mfi
+       nop.m 0
+       // s^4
+       fma.s1 F_R4 = F_R2, F_R2, f0
+       nop.i 0;;
+}
+
+
+{.mfi
+       nop.m 0
+       // c3+c5*s^2
+       fma.s1 F_P35 = F_C5, F_R2, F_C3
+       nop.i 0
+}
+
+{.mfi
+       nop.m 0
+       // c11+c13*s^2
+       fma.s1 F_P1113 = F_C13, F_R2, F_C11
+       nop.i 0;;
+}
+
+
+{.mfi
+       nop.m 0
+       // c7+c9*s^2
+       fma.s1 F_P79 = F_C9, F_R2, F_C7
+       nop.i 0
+}
+
+{.mfi
+       nop.m 0
+       // c15+c17*s^2
+       fma.s1 F_P1517 = F_C17, F_R2, F_C15
+       nop.i 0;;
+}
+
+{.mfi
+       nop.m 0
+	   // (pi/2)_high-s_high
+	   fnma.s1 F_T = f8, f1, F_PI2_HI
+	   nop.i 0
+}
+{.mfi
+       nop.m 0
+       // s^8
+       fma.s1 F_R8 = F_R4, F_R4, f0
+       nop.i 0;;
+}
+
+
+{.mfi
+       nop.m 0
+       // c3+c5*s^2+c7*s^4+c9*s^6
+       fma.s1 F_P39 = F_P79, F_R4, F_P35
+       nop.i 0
+}
+
+{.mfi
+       nop.m 0
+       // c11+c13*s^2+c15*s^4+c17*s^6
+       fma.s1 F_P1117 = F_P1517, F_R4, F_P1113
+       nop.i 0;;
+}
+
+{.mfi
+       nop.m 0
+	   // -s_high
+	   fms.s1 F_S = F_T, f1, F_PI2_HI
+	   nop.i 0;;
+}
+
+{.mfi
+       nop.m 0
+       // c3+..+c17*s^14
+       fma.s1 F_P317 = F_R8, F_P1117, F_P39
+       nop.i 0;;
+}
+
+{.mfi
+       nop.m 0
+	   // s_low
+	   fma.s1 F_DS = f8, f1, F_S
+	   nop.i 0;;
+}
+
+{.mfi
+       nop.m 0
+       // (pi/2)_low-s^3*(c3+..+c17*s^14)
+       fnma.s0 F_P317 = F_P317, F_R3, F_PI2_LO
+	   nop.i 0;;
+}
+
+{.mfi
+       nop.m 0
+	   // (pi/2)_low-s_low-s^3*(c3+..+c17*s^14)
+	   fms.s1 F_P317 = F_P317, f1, F_DS
+	   nop.i 0;;
+}
+
+{.mfb
+       nop.m 0
+	   // result: pi/2-s-c3*s^3-..-c17*s^17
+	   fma.s0 f8 = F_T, f1, F_P317
+       br.ret.sptk b0;;
+}
+
+
+
+
+
+RETURN_PI2:
+
+{.mfi
+       nop.m 0
+       // (pi/2)_low-s
+	   fms.s0 F_PI2_LO = F_PI2_LO, f1, f8
+	   nop.i 0;;
+}
+
+{.mfb
+       nop.m 0
+	   // (pi/2)-s
+	   fma.s0 f8 = F_PI2_HI, f1, F_PI2_LO
+	   br.ret.sptk b0;;
+}
+
+
+
+
+
+VERY_LARGE_INPUT:
+
+
+{.mmf
+       // pointer to pi_low, pi_high
+	   add r2 = 80, r3
+       // load C5
+       ldfe F_C5 = [r3], 16
+       // x = ((1-(s^2)_s)*y^2-1)/2-(s^2-(s^2)_s)*y^2/2
+       fma.s1 F_X = F_X, F_05, f0;;
+}
+
+.pred.rel "mutex", p6, p11
+{.mmf
+       // load pi (low, high), if s<0
+ (p6)  ldfpd F_PI2_LO, F_PI2_HI = [r2]
+       // C7, C9
+       ldfpd F_C7, F_C9 = [r3], 16
+	   // if s>0, set F_PI2_LO=0
+ (p11) fma.s1 F_PI2_HI = f0, f0, f0;;
+}
+
+{.mfi
+       nop.m 0
+ (p11) fma.s1 F_PI2_LO = f0, f0, f0
+       nop.i 0;;
+}
+
+{.mfi
+       // adjust address for C_11
+	   add r3 = 16, r3
+       // c9*x+c8
+       fma.s1 F_S89 = F_X, F_CS9, F_CS8
+       nop.i 0
+}
+
+{.mfi
+       nop.m 0
+       // x^2
+       fma.s1 F_X2 = F_X, F_X, f0
+       nop.i 0;;
+}
+
+
+{.mfi
+       nop.m 0
+       // y*(1-s^2)*x
+       fma.s1 F_Y1S2X = F_Y1S2, F_X, f0
+       nop.i 0
+}
+
+{.mfi
+       // C11, C13
+       ldfpd F_C11, F_C13 = [r3], 16
+       // c7*x+c6
+       fma.s1 F_S67 = F_X, F_CS7, F_CS6
+       nop.i 0;;
+}
+
+
+{.mfi
+       // C15, C17
+       ldfpd F_C15, F_C17 = [r3], 16
+       // c3*x+c2
+       fma.s1 F_S23 = F_X, F_CS3, F_CS2
+       nop.i 0;;
+}
+
+
+{.mfi
+       nop.m 0
+       // c5*x+c4
+       fma.s1 F_S45 = F_X, F_CS5, F_CS4
+       nop.i 0;;
+}
+
+
+
+
+{.mfi
+       nop.m 0
+       // y*(1-s^2)*x^2
+       fma.s1 F_Y1S2X2 = F_Y1S2, F_X2, f0
+       nop.i 0
+}
+
+{.mfi
+       nop.m 0
+       // x^4
+       fma.s1 F_X4 = F_X2, F_X2, f0
+       nop.i 0;;
+}
+
+
+{.mfi
+       nop.m 0
+       // c9*x^3+..+c6
+       fma.s1 F_S69 = F_X2, F_S89, F_S67
+       nop.i 0;;
+}
+
+
+{.mfi
+       nop.m 0
+       // c5*x^3+..+c2
+       fma.s1 F_S25 = F_X2, F_S45, F_S23
+       nop.i 0;;
+}
+
+
+
+{.mfi
+       nop.m 0
+       // (pi)_high-y*(1-s^2)_s
+       fnma.s1 F_HI = F_Y, F_1S2_S, F_PI2_HI
+       nop.i 0;;
+}
+
+
+{.mfi
+       nop.m 0
+       // c9*x^7+..+c2
+       fma.s1 F_S29 = F_X4, F_S69, F_S25
+       nop.i 0;;
+}
+
+
+{.mfi
+       nop.m 0
+       // -(y*(1-s^2)_s)_high
+       fms.s1 F_1S2_HI = F_HI, f1, F_PI2_HI
+       nop.i 0;;
+}
+
+
+{.mfi
+       nop.m 0
+       // (PS29*x^2+x)*y*(1-s^2)
+       fma.s1 F_S19 = F_Y1S2X2, F_S29, F_Y1S2X
+       nop.i 0;;
+}
+
+
+{.mfi
+       nop.m 0
+       // y*(1-s^2)_s-(y*(1-s^2))_high
+       fma.s1 F_DS2 = F_Y, F_1S2_S, F_1S2_HI
+       nop.i 0;;
+}
+
+
+
+{.mfi
+       nop.m 0
+       // R ~ sqrt(1-s^2)
+       // (used for polynomial evaluation)
+       fnma.s1 F_R = F_S19, f1, F_Y1S2
+       nop.i 0;;
+}
+
+
+{.mfi
+       nop.m 0
+       // y*(1-s^2)-(y*(1-s^2))_high
+       fma.s1 F_DS2 = F_Y, F_DS, F_DS2
+       nop.i 0
+}
+
+{.mfi
+       nop.m 0
+       // (pi)_low+(PS29*x^2)*y*(1-s^2)
+       fma.s1 F_S29 = F_Y1S2X2, F_S29, F_PI2_LO
+       nop.i 0;;
+}
+
+
+{.mfi
+       nop.m 0
+       // R^2
+       fma.s1 F_R2 = F_R, F_R, f0
+       nop.i 0;;
+}
+
+
+{.mfi
+       nop.m 0
+	   // if s<0
+       // (pi)_low+(PS29*x^2)*y*(1-s^2)-(y*(1-s^2)-(y*(1-s^2))_high)
+       fms.s1 F_S29 = F_S29, f1, F_DS2
+       nop.i 0;;
+}
+
+
+{.mfi
+       nop.m 0
+       // c7+c9*R^2
+       fma.s1 F_P79 = F_C9, F_R2, F_C7
+       nop.i 0
+}
+
+{.mfi
+       nop.m 0
+       // c3+c5*R^2
+       fma.s1 F_P35 = F_C5, F_R2, F_C3
+       nop.i 0;;
+}
+
+
+
+{.mfi
+       nop.m 0
+       // R^4
+       fma.s1 F_R4 = F_R2, F_R2, f0
+       nop.i 0
+}
+
+{.mfi
+       nop.m 0
+       // R^3
+       fma.s1 F_R3 = F_R2, F_R, f0
+       nop.i 0;;
+}
+
+
+{.mfi
+       nop.m 0
+       // c11+c13*R^2
+       fma.s1 F_P1113 = F_C13, F_R2, F_C11
+       nop.i 0
+}
+
+{.mfi
+       nop.m 0
+       // c15+c17*R^2
+       fma.s1 F_P1517 = F_C17, F_R2, F_C15
+       nop.i 0;;
+}
+
+
+{.mfi
+       nop.m 0
+       // (pi)_low+(PS29*x^2)*y*(1-s^2)-(y*(1-s^2)-(y*(1-s^2))_high)+y*(1-s^2)*x
+       fma.s1 F_S29 = F_Y1S2, F_X, F_S29
+       nop.i 0;;
+}
+
+
+{.mfi
+       nop.m 0
+       // c11+c13*R^2+c15*R^4+c17*R^6
+       fma.s1 F_P1117 = F_P1517, F_R4, F_P1113
+       nop.i 0
+}
+
+{.mfi
+       nop.m 0
+       // c3+c5*R^2+c7*R^4+c9*R^6
+       fma.s1 F_P39 = F_P79, F_R4, F_P35
+       nop.i 0;;
+}
+
+
+
+{.mfi
+       nop.m 0
+       // R^8
+       fma.s1 F_R8 = F_R4, F_R4, f0
+       nop.i 0;;
+}
+
+
+{.mfi
+       nop.m 0
+       // c3+c5*R^2+c7*R^4+c9*R^6+..+c17*R^14
+       fma.s1 F_P317 = F_P1117, F_R8, F_P39
+       nop.i 0;;
+}
+
+
+{.mfi
+       nop.m 0
+       // (pi)_low-(PS29*x^2)*y*(1-s^2)-(y*(1-s^2)-
+       // -(y*(1-s^2))_high)+y*(1-s^2)*x - P3, 17
+       fnma.s1 F_S29 = F_P317, F_R3, F_S29
+       nop.i 0;;
+}
+
+.pred.rel "mutex", p6, p11
+{.mfi
+       nop.m 0
+       // Result (if s<0):
+       // (pi)_low-(PS29*x^2)*y*(1-s^2)-(y*(1-s^2)-
+       // -(y*(1-s^2))_high)+y*(1-s^2)*x - P3, 17
+       // +(pi)_high-(y*(1-s^2))_high
+ (p6)  fma.s0 f8 = F_S29, f1, F_HI
+       nop.i 0
+}
+
+{.mfb
+       nop.m 0
+	   // Result (if s>0):
+       // (PS29*x^2)*y*(1-s^2)-
+       // -y*(1-s^2)*x + P3, 17
+       // +(y*(1-s^2))
+ (p11) fms.s0 f8 = F_Y, F_1S2_S, F_S29
+       br.ret.sptk b0;;
+}
+
+
+
+
+
+
+acosl_SPECIAL_CASES:
+
+{.mfi
+       alloc r32 = ar.pfs, 1, 4, 4, 0
+       // check if the input is a NaN, or unsupported format
+       // (i.e. not infinity or normal/denormal)
+       fclass.nm p7, p8 = f8, 0x3f
+       // pointer to pi/2
+       add r3 = 96, r3;;
+}
+
+
+{.mfi
+       // load pi/2
+       ldfpd F_PI2_HI, F_PI2_LO = [r3]
+       // get |s|
+       fmerge.s F_S = f0, f8
+       nop.i 0
+}
+
+{.mfb
+       nop.m 0
+       // if NaN, quietize it, and return
+ (p7) fma.s0 f8 = f8, f1, f0
+ (p7) br.ret.spnt b0;;
+}
+
+
+{.mfi
+       nop.m 0
+       // |s| = 1 ?
+       fcmp.eq.s0 p9, p10 = F_S, f1
+       nop.i 0
+}
+
+{.mfi
+       nop.m 0
+       // load FR_X
+       fma.s1 FR_X = f8, f1, f0
+       // load error tag
+       mov GR_Parameter_TAG = 57;;
+}
+
+
+{.mfi
+       nop.m 0
+       // if s = 1, result is 0
+ (p9)  fma.s0 f8 = f0, f0, f0
+       // set p6=0 for |s|>1
+ (p10) cmp.ne p6, p0 = r0, r0;;
+}
+
+
+{.mfb
+       nop.m 0
+       //  if s = -1, result is pi
+ (p6) fma.s0 f8 = F_PI2_HI, f1, F_PI2_LO
+       // return if |s| = 1
+ (p9) br.ret.sptk b0;;
+}
+
+
+{.mfi
+       nop.m 0
+       // get Infinity
+       frcpa.s1 FR_RESULT, p0 = f1, f0
+       nop.i 0;;
+}
+
+
+{.mfb
+       nop.m 0
+       // return QNaN indefinite (0*Infinity)
+       fma.s0 FR_RESULT = f0, FR_RESULT, f0
+       nop.b 0;;
+}
+
+
+GLOBAL_LIBM_END(acosl)
+
+LOCAL_LIBM_ENTRY(__libm_error_region)
 .prologue
 // (1)
 { .mfi
@@ -1068,12 +2510,12 @@ __libm_error_region:
 .body
 // (3)
 { .mib
-        stfe [GR_Parameter_X] = f8              // Store Parameter 1 on stack
+        stfe [GR_Parameter_X] = FR_X              // Store Parameter 1 on stack
         add   GR_Parameter_RESULT = 0,GR_Parameter_Y
         nop.b 0                                 // Parameter 3 address
 }
 { .mib
-        stfe [GR_Parameter_Y] = f10             // Store Parameter 3 on stack
+        stfe [GR_Parameter_Y] = FR_RESULT             // Store Parameter 3 on stack
         add   GR_Parameter_Y = -16,GR_Parameter_Y
         br.call.sptk b0=__libm_error_support#   // Call error handling function
 };;
@@ -1097,11 +2539,13 @@ __libm_error_region:
         br.ret.sptk     b0                     // Return
 };;
 
-.endp __libm_error_region
-ASM_SIZE_DIRECTIVE(__libm_error_region)
+LOCAL_LIBM_END(__libm_error_region)
 
 .type   __libm_error_support#,@function
 .global __libm_error_support#
 
-.type   __libm_atan2_reg#,@function
-.global __libm_atan2_reg#
+
+
+
+
+
diff --git a/sysdeps/ia64/fpu/e_asin.S b/sysdeps/ia64/fpu/e_asin.S
index bb4c242fb2..398079eae4 100644
--- a/sysdeps/ia64/fpu/e_asin.S
+++ b/sysdeps/ia64/fpu/e_asin.S
@@ -1,10 +1,10 @@
 .file "asin.s"
 
-// Copyright (C) 2000, 2001, Intel Corporation
+
+// Copyright (c) 2000 - 2003 Intel Corporation
 // All rights reserved.
 //
-// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story,
-// and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation.
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
 //
 // Redistribution and use in source and binary forms, with or without
 // modification, are permitted provided that the following conditions are
@@ -20,7 +20,7 @@
 // * The name of Intel Corporation may not be used to endorse or promote
 // products derived from this software without specific prior written
 // permission.
-//
+
 // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
 // "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
@@ -35,818 +35,776 @@
 //
 // Intel Corporation is the author of this code, and requests that all
 // problem reports or change requests be submitted to it directly at
-// http://developer.intel.com/opensource.
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
 
 // History
 //==============================================================
-// 2/02/00  Initial version 
-// 8/17/00  New and much faster algorithm.
-// 8/31/00  Avoided bank conflicts on loads, shortened |x|=1 path, 
+// 02/02/00 Initial version
+// 08/17/00 New and much faster algorithm.
+// 08/31/00 Avoided bank conflicts on loads, shortened |x|=1 path,
 //          fixed mfb split issue stalls.
 // 12/19/00 Fixed small arg cases to force inexact, or inexact and underflow.
+// 08/02/02 New and much faster algorithm II
+// 02/06/03 Reordered header: .section, .global, .proc, .align
 
 // Description
 //=========================================
-// The asin function computes the principle value of the arc sine of x.
+// The asin function computes the principal value of the arc sine of x.
 // asin(0) returns 0, asin(1) returns pi/2, asin(-1) returns -pi/2.
 // A doman error occurs for arguments not in the range [-1,+1].
-
+//
 // The asin function returns the arc sine in the range [-pi/2, +pi/2] radians.
+//
+// There are 8 paths:
+// 1. x = +/-0.0
+//    Return asin(x) = +/-0.0
+//
+// 2. 0.0 < |x| < 0.625
+//    Return asin(x) = x + x^3 *PolA(x^2)
+//    where PolA(x^2) = A3 + A5*x^2 + A7*x^4 +...+ A35*x^32
+//
+// 3. 0.625 <=|x| < 1.0
+//    Return asin(x) = sign(x) * ( Pi/2 - sqrt(R) * PolB(R))
+//    Where R = 1 - |x|,
+//          PolB(R) = B0 + B1*R + B2*R^2 +...+B12*R^12
+//
+//    sqrt(R) is approximated using the following sequence:
+//        y0 = (1 + eps)/sqrt(R) - initial approximation by frsqrta,
+//             |eps| < 2^(-8)
+//        Then 3 iterations are used to refine the result:
+//        H0 = 0.5*y0
+//        S0 = R*y0
+//
+//        d0 = 0.5 - H0*S0
+//        H1 = H0 + d0*H0
+//        S1 = S0 + d0*S0
+//
+//        d1 = 0.5 - H1*S1
+//        H2 = H1 + d0*H1
+//        S2 = S1 + d0*S1
+//
+//        d2 = 0.5 - H2*S2
+//        S3 = S3 + d2*S3
+//
+//        S3 approximates sqrt(R) with enough accuracy for this algorithm
+//
+//    So, the result should be reconstracted as follows:
+//    asin(x) = sign(x) * (Pi/2 - S3*PolB(R))
+//
+//    But for optimization perposes the reconstruction step is slightly
+//    changed:
+//    asin(x) = sign(x)*(Pi/2 - PolB(R)*S2) + sign(x)*d2*S2*PolB(R)
+//
+// 4. |x| = 1.0
+//    Return asin(x) = sign(x)*Pi/2
+//
+// 5. 1.0 < |x| <= +INF
+//    A doman error occurs for arguments not in the range [-1,+1]
+//
+// 6. x = [S,Q]NaN
+//    Return asin(x) = QNaN
+//
+// 7. x is denormal
+//    Return asin(x) = x + x^3,
+//
+// 8. x is unnormal
+//    Normalize input in f8 and return to the very beginning of the function
+//
+// Registers used
+//==============================================================
+// Floating Point registers used:
+// f8, input, output
+// f6, f7, f9 -> f15, f32 -> f63
 
-#include "libm_support.h"
+// General registers used:
+// r3, r21 -> r31, r32 -> r38
+
+// Predicate registers used:
+// p0, p6 -> p14
 
 //
 // Assembly macros
 //=========================================
-
-
-// predicate registers
-//asin_pred_LEsqrt2by2            = p7
-//asin_pred_GTsqrt2by2            = p8
-
-// integer registers
-ASIN_Addr1                      = r33
-ASIN_Addr2                      = r34
-ASIN_FFFE                       = r35
-ASIN_lnorm_sig                  = r36
-ASIN_snorm_exp                  = r37
-
-GR_SAVE_B0                      = r36
-GR_SAVE_PFS                     = r37
-GR_SAVE_GP                      = r38
-
-GR_Parameter_X                  = r39
-GR_Parameter_Y                  = r40
-GR_Parameter_RESULT             = r41
-GR_Parameter_Tag                = r42
-
-// floating point registers
-asin_coeff_P1                   = f32
-asin_coeff_P2                   = f33
-asin_coeff_P3                   = f34
-asin_coeff_P4                   = f35
-
-asin_coeff_P5                   = f36
-asin_coeff_P6                   = f37
-asin_coeff_P7                   = f38
-asin_coeff_P8                   = f39
-asin_coeff_P9                   = f40
-
-asin_coeff_P10                  = f41
-asin_coeff_P11                  = f42
-asin_coeff_P12                  = f43
-asin_coeff_P13                  = f44
-asin_coeff_P14                  = f45
-
-asin_coeff_P15                  = f46
-asin_coeff_P16                  = f47
-asin_coeff_P17                  = f48
-asin_coeff_P18                  = f49
-asin_coeff_P19                  = f50
-
-asin_coeff_P20                  = f51
-asin_coeff_P21                  = f52
-asin_const_sqrt2by2             = f53
-asin_const_piby2                = f54
-asin_abs_x                      = f55
-
-asin_tx                         = f56
-asin_tx2                        = f57
-asin_tx3                        = f58
-asin_tx4                        = f59
-asin_tx8                        = f60
-
-asin_tx11                       = f61
-asin_1poly_p8                   = f62
-asin_1poly_p19                  = f63
-asin_1poly_p4                   = f64
-asin_1poly_p15                  = f65
-
-asin_1poly_p6                   = f66
-asin_1poly_p17                  = f67
-asin_1poly_p0                   = f68
-asin_1poly_p11                  = f69
-asin_1poly_p2                   = f70
-
-asin_1poly_p13                  = f71
-asin_series_tx                  = f72
-asin_t                          = f73
-asin_t2                         = f74
-asin_t3                         = f75
-
-asin_t4                         = f76
-asin_t8                         = f77
-asin_t11                        = f78
-asin_poly_p8                    = f79
-asin_poly_p19                   = f80
-
-asin_poly_p4                    = f81
-asin_poly_p15                   = f82
-asin_poly_p6                    = f83
-asin_poly_p17                   = f84
-asin_poly_p0                    = f85
-
-asin_poly_p11                   = f86
-asin_poly_p2                    = f87
-asin_poly_p13                   = f88
-asin_series_t                   = f89
-asin_1by2                       = f90
-
-asin_3by2                       = f91
-asin_5by2                       = f92
-asin_11by4                      = f93
-asin_35by8                      = f94
-asin_63by8                      = f95
-
-asin_231by16                    = f96 
-asin_y0                         = f97 
-asin_H0                         = f98 
-asin_S0                         = f99 
-asin_d                          = f100
-
-asin_l1                         = f101
-asin_d2                         = f102
-asin_T0                         = f103
-asin_d1                         = f104
-asin_e0                         = f105
-
-asin_l2                         = f106
-asin_d3                         = f107
-asin_T3                         = f108
-asin_S1                         = f109
-asin_e1                         = f110
-
-asin_z                          = f111
-answer2                         = f112
-asin_sgn_x                      = f113
-asin_429by16                    = f114
-asin_18by4                      = f115
-
-asin_3by4                       = f116
-asin_l3                         = f117
-asin_T6                         = f118
-asin_eps_exp                    = f119
-asin_eps_sig                    = f120
-asin_eps                        = f120
-
+// integer registers used
+// scratch
+rTblAddr                      = r3
+
+rPiBy2Ptr                     = r21
+rTmpPtr3                      = r22
+rDenoBound                    = r23
+rOne                          = r24
+rAbsXBits                     = r25
+rHalf                         = r26
+r0625                         = r27
+rSign                         = r28
+rXBits                        = r29
+rTmpPtr2                      = r30
+rTmpPtr1                      = r31
+
+// stacked
+GR_SAVE_PFS                   = r32
+GR_SAVE_B0                    = r33
+GR_SAVE_GP                    = r34
+GR_Parameter_X                = r35
+GR_Parameter_Y                = r36
+GR_Parameter_RESULT           = r37
+GR_Parameter_TAG              = r38
+
+// floating point registers used
+FR_X                          = f10
+FR_Y                          = f1
+FR_RESULT                     = f8
+
+
+// scratch
+fXSqr                         = f6
+fXCube                        = f7
+fXQuadr                       = f9
+f1pX                          = f10
+f1mX                          = f11
+f1pXRcp                       = f12
+f1mXRcp                       = f13
+fH                            = f14
+fS                            = f15
+// stacked
+fA3                           = f32
+fB1                           = f32
+fA5                           = f33
+fB2                           = f33
+fA7                           = f34
+fPiBy2                        = f34
+fA9                           = f35
+fA11                          = f36
+fB10                          = f35
+fB11                          = f36
+fA13                          = f37
+fA15                          = f38
+fB4                           = f37
+fB5                           = f38
+fA17                          = f39
+fA19                          = f40
+fB6                           = f39
+fB7                           = f40
+fA21                          = f41
+fA23                          = f42
+fB3                           = f41
+fB8                           = f42
+fA25                          = f43
+fA27                          = f44
+fB9                           = f43
+fB12                          = f44
+fA29                          = f45
+fA31                          = f46
+fA33                          = f47
+fA35                          = f48
+fBaseP                        = f49
+fB0                           = f50
+fSignedS                      = f51
+fD                            = f52
+fHalf                         = f53
+fR                            = f54
+fCloseTo1Pol                  = f55
+fSignX                        = f56
+fDenoBound                    = f57
+fNormX                        = f58
+fX8                           = f59
+fRSqr                         = f60
+fRQuadr                       = f61
+fR8                           = f62
+fX16                          = f63
 // Data tables
 //==============================================================
-
-#ifdef _LIBC
-.rodata
-#else
-.data
-#endif
-
+RODATA
 .align 16
-
-asin_coeff_1_table:
-ASM_TYPE_DIRECTIVE(asin_coeff_1_table,@object)
-data8 0xE4E7E0A423A21249  , 0x00003FF8 //P7
-data8 0xC2F7EE0200FCE2A5  , 0x0000C003 //P18
-data8 0xB745D7F6C65C20E0  , 0x00003FF9 //P5
-data8 0xF75E381A323D4D94  , 0x0000C002 //P16
-data8 0x8959C2629C1024C0  , 0x0000C002 //P20
-data8 0xAFF68E7D241292C5  , 0x00003FF8 //P9
-data8 0xB6DB6DB7260AC30D  , 0x00003FFA //P3
-data8 0xD0417CE2B41CB7BF  , 0x0000C000 //P14
-data8 0x81D570FEA724E3E4  , 0x0000BFFD //P12
-data8 0xAAAAAAAAAAAAC277  , 0x00003FFC //P1
-data8 0xF534912FF3E7B76F  , 0x00003FFF //P21
-data8 0xc90fdaa22168c235  , 0x00003fff // pi/2
-data8 0x0000000000000000  , 0x00000000 // pad to avoid data bank conflict
-ASM_SIZE_DIRECTIVE(asin_coeff_1_table)
-	
-
-asin_coeff_2_table:
-ASM_TYPE_DIRECTIVE(asin_coeff_2_table,@object)
-data8 0x8E26AF5F29B39A2A  , 0x00003FF9 //P6
-data8 0xB4F118A4B1015470  , 0x00004003 //P17
-data8 0xF8E38E10C25990E0  , 0x00003FF9 //P4
-data8 0x80F50489AEF1CAC6  , 0x00004002 //P15
-data8 0x92728015172CFE1C  , 0x00004003 //P19
-data8 0xBBC3D831D4595971  , 0x00003FF8 //P8
-data8 0x999999999952A5C3  , 0x00003FFB //P2
-data8 0x855576BE6F0975EC  , 0x00003FFF //P13
-data8 0xF12420E778077D89  , 0x00003FFA //P11
-data8 0xB6590FF4D23DE003  , 0x00003FF3 //P10
-data8 0xb504f333f9de6484  , 0x00003ffe // sqrt(2)/2
-ASM_SIZE_DIRECTIVE(asin_coeff_2_table)
+LOCAL_OBJECT_START(asin_base_range_table)
+// Ai: Polynomial coefficients for the asin(x), |x| < .625000
+// Bi: Polynomial coefficients for the asin(x), |x| > .625000
+data8 0xBFDAAB56C01AE468 //A29
+data8 0x3FE1C470B76A5B2B //A31
+data8 0xBFDC5FF82A0C4205 //A33
+data8 0x3FC71FD88BFE93F0 //A35
+data8 0xB504F333F9DE6487, 0x00003FFF //B0
+data8 0xAAAAAAAAAAAAFC18, 0x00003FFC //A3
+data8 0x3F9F1C71BC4A7823 //A9
+data8 0x3F96E8BBAAB216B2 //A11
+data8 0x3F91C4CA1F9F8A98 //A13
+data8 0x3F8C9DDCEDEBE7A6 //A15
+data8 0x3F877784442B1516 //A17
+data8 0x3F859C0491802BA2 //A19
+data8 0x9999999998C88B8F, 0x00003FFB //A5
+data8 0x3F6BD7A9A660BF5E //A21
+data8 0x3F9FC1659340419D //A23
+data8 0xB6DB6DB798149BDF, 0x00003FFA //A7
+data8 0xBFB3EF18964D3ED3 //A25
+data8 0x3FCD285315542CF2 //A27
+data8 0xF15BEEEFF7D2966A, 0x00003FFB //B1
+data8 0x3EF0DDA376D10FB3 //B10
+data8 0xBEB83CAFE05EBAC9 //B11
+data8 0x3F65FFB67B513644 //B4
+data8 0x3F5032FBB86A4501 //B5
+data8 0x3F392162276C7CBA //B6
+data8 0x3F2435949FD98BDF //B7
+data8 0xD93923D7FA08341C, 0x00003FF9 //B2
+data8 0x3F802995B6D90BDB //B3
+data8 0x3F10DF86B341A63F //B8
+data8 0xC90FDAA22168C235, 0x00003FFF // Pi/2
+data8 0x3EFA3EBD6B0ECB9D //B9
+data8 0x3EDE18BA080E9098 //B12
+LOCAL_OBJECT_END(asin_base_range_table)
 
 
-
-.align 32
-.global asin
-
 .section .text
-.proc  asin
-.align 32
-
-
-asin:
- 
-{     .mfi 
-     alloc      r32               = ar.pfs,1,6,4,0
-     fma.s1    asin_tx        =    f8,f8,f0
-     addl      ASIN_Addr2     =    @ltoff(asin_coeff_2_table),gp
-} 
-{     .mfi 
-     mov       ASIN_FFFE      =    0xFFFE
-     fnma.s1   asin_t         =    f8,f8,f1
-     addl      ASIN_Addr1     =    @ltoff(asin_coeff_1_table),gp
+GLOBAL_LIBM_ENTRY(asin)
+asin_unnormal_back:
+{ .mfi
+      getf.d             rXBits = f8 // grab bits of input value
+      // set p12 = 1 if x is a NaN, denormal, or zero
+      fclass.m           p12, p0 = f8, 0xcf
+      adds               rSign = 1, r0
+}
+{ .mfi
+      addl               rTblAddr = @ltoff(asin_base_range_table),gp
+      // 1 - x = 1 - |x| for positive x
+      fms.s1             f1mX = f1, f1, f8
+      addl               rHalf = 0xFFFE, r0 // exponent of 1/2
 }
 ;;
-
- 
-{     .mfi 
-     setf.exp       asin_1by2      =    ASIN_FFFE
-     fmerge.s       asin_abs_x     =    f1,f8
-     nop.i          999              ;;
-} 
- 
-{     .mmf 
-     ld8       ASIN_Addr1     =    [ASIN_Addr1]
-     ld8       ASIN_Addr2     =    [ASIN_Addr2]
-     fmerge.s  asin_sgn_x     =    f8,f1 ;;
-} 
-
- 
-{     .mfi 
-     ldfe      asin_coeff_P7  =    [ASIN_Addr1],16
-     fma.s1    asin_tx2       =    asin_tx,asin_tx,f0
-     nop.i                      999
-} 
-{     .mfi 
-     ldfe      asin_coeff_P6  =    [ASIN_Addr2],16
-     fma.s1    asin_t2        =    asin_t,asin_t,f0
-     nop.i                      999;;
+{ .mfi
+      addl               r0625 = 0x3FE4, r0 // high 16 bits of 0.625
+      // set p8 = 1 if x < 0
+      fcmp.lt.s1         p8, p9 = f8, f0
+      shl                rSign = rSign, 63 // sign bit
 }
-
- 
-{     .mmf 
-     ldfe      asin_coeff_P18 =    [ASIN_Addr1],16
-     ldfe      asin_coeff_P17 =    [ASIN_Addr2],16
-     fclass.m.unc p8,p0  = f8, 0xc3	//@qnan |@snan
-} 
-;;
- 
-{     .mmf 
-     ldfe           asin_coeff_P5  =    [ASIN_Addr1],16
-     ldfe      asin_coeff_P4  =    [ASIN_Addr2],16
-     frsqrta.s1     asin_y0,p0     =    asin_t
-} 
-;;
- 
-{     .mfi 
-     ldfe      asin_coeff_P16 =    [ASIN_Addr1],16
-     fcmp.gt.s1 p9,p0 = asin_abs_x,f1
-     nop.i                      999
-} 
-{     .mfb 
-     ldfe      asin_coeff_P15 =    [ASIN_Addr2],16
-(p8) fma.d     f8 = f8,f1,f0
-(p8) br.ret.spnt b0
+{ .mfi
+      // point to the beginning of the table
+      ld8                rTblAddr = [rTblAddr]
+      // 1 + x = 1 - |x| for negative x
+      fma.s1             f1pX = f1, f1, f8
+      adds               rOne = 0x3FF, r0
 }
 ;;
-
- 
-{     .mmf 
-     ldfe      asin_coeff_P20 =    [ASIN_Addr1],16
-     ldfe      asin_coeff_P19 =    [ASIN_Addr2],16
-     fclass.m.unc p8,p0 = f8, 0x07	//@zero
-} 
-;;
- 
-
-{     .mfi 
-     ldfe      asin_coeff_P9  =    [ASIN_Addr1],16
-     fma.s1    asin_t4        =    asin_t2,asin_t2,f0
-(p9) mov GR_Parameter_Tag = 61 
-} 
-{     .mfi 
-     ldfe      asin_coeff_P8  =    [ASIN_Addr2],16
-     fma.s1    asin_3by2      =    asin_1by2,f1,f1
-     nop.i                      999;;
+{ .mfi
+      andcm              rAbsXBits = rXBits, rSign // bits of |x|
+      fmerge.s           fSignX = f8, f1 // signum(x)
+      shl                r0625 = r0625, 48 // bits of DP representation of 0.625
 }
-
- 
-{     .mfi 
-     ldfe      asin_coeff_P2  =    [ASIN_Addr2],16
-     fma.s1    asin_tx4       =    asin_tx2,asin_tx2,f0
-     nop.i                      999
-} 
-{     .mfb 
-     ldfe      asin_coeff_P3  =    [ASIN_Addr1],16
-     fma.s1    asin_t3        =    asin_t,asin_t2,f0
-(p8) br.ret.spnt b0
+{ .mfb
+      setf.exp           fHalf = rHalf // load A2 to FP reg
+      fma.s1             fXSqr = f8, f8, f0 // x^2
+      // branch on special path if x is a NaN, denormal, or zero
+(p12) br.cond.spnt       asin_special
 }
 ;;
-
- 
-{     .mfi 
-     ldfe      asin_coeff_P13 =    [ASIN_Addr2],16
-     fma.s1    asin_H0        =    asin_y0,asin_1by2,f0
-     nop.i                      999
-} 
-{     .mfb 
-     ldfe      asin_coeff_P14 =    [ASIN_Addr1],16
-     fma.s1    asin_S0        =    asin_y0,asin_t,f0
-(p9) br.cond.spnt  __libm_error_region
+{ .mfi
+      adds               rPiBy2Ptr = 272, rTblAddr
+      nop.f              0
+      shl                rOne = rOne, 52 // bits of 1.0
+}
+{ .mfi
+      adds               rTmpPtr1 = 16, rTblAddr
+      nop.f              0
+      // set p6 = 1 if |x| < 0.625
+      cmp.lt             p6, p7 = rAbsXBits, r0625
 }
 ;;
-
- 
-{     .mfi 
-     ldfe      asin_coeff_P11 =    [ASIN_Addr2],16
-     fcmp.eq.s1 p6,p0 = asin_abs_x,f1
-     nop.i                      999
-} 
-{     .mfi 
-     ldfe      asin_coeff_P12 =    [ASIN_Addr1],16
-     fma.s1    asin_tx3       =    asin_tx,asin_tx2,f0
-     nop.i                      999;;
+{ .mfi
+      ldfpd              fA29, fA31 = [rTblAddr] // A29, fA31
+      // 1 - x = 1 - |x| for positive x
+(p9)  fms.s1             fR = f1, f1, f8
+      // point to coefficient of "near 1" polynomial
+(p7)  adds               rTmpPtr2 = 176, rTblAddr
 }
-
- 
-{     .mfi 
-     ldfe      asin_coeff_P10 =    [ASIN_Addr2],16
-     fma.s1    asin_1poly_p6  =    asin_tx,asin_coeff_P7,asin_coeff_P6
-     nop.i                      999
-} 
-{     .mfi 
-     ldfe      asin_coeff_P1  =    [ASIN_Addr1],16
-     fma.s1    asin_poly_p6   =    asin_t,asin_coeff_P7,asin_coeff_P6
-     nop.i                      999;;
+{ .mfi
+      ldfpd              fA33, fA35 = [rTmpPtr1], 16 // A33, fA35
+      // 1 + x = 1 - |x| for negative x
+(p8)  fma.s1             fR = f1, f1, f8
+(p6)  adds               rTmpPtr2 = 48, rTblAddr
 }
-
- 
-{     .mfi 
-     ldfe      asin_const_sqrt2by2 =    [ASIN_Addr2],16
-     fma.s1    asin_5by2           =    asin_3by2,f1,f1
-     nop.i                           999
-} 
-{     .mfi 
-     ldfe      asin_coeff_P21 =    [ASIN_Addr1],16
-     fma.s1    asin_11by4     =    asin_3by2,asin_3by2,asin_1by2
-     nop.i                      999;;
+;;
+{ .mfi
+      ldfe               fB0 = [rTmpPtr1], 16 // B0
+      nop.f              0
+      nop.i              0
 }
-
- 
-{     .mfi 
-     ldfe      asin_const_piby2    =    [ASIN_Addr1],16
-     fma.s1    asin_poly_p17       =    asin_t,asin_coeff_P18,asin_coeff_P17
-     nop.i                           999
-} 
-{     .mfb 
-     nop.m                 999
-     fma.s1    asin_3by4 =    asin_3by2,asin_1by2,f0
-(p6) br.cond.spnt  L(ASIN_ABS_1)      // Branch to short exit if |x|=1
+{ .mib
+      adds               rTmpPtr3 = 16, rTmpPtr2
+      // set p10 = 1 if |x| = 1.0
+      cmp.eq             p10, p0 = rAbsXBits, rOne
+      // branch on special path for |x| = 1.0
+(p10) br.cond.spnt       asin_abs_1
 }
 ;;
-
- 
-{     .mfi 
-     addl ASIN_lnorm_sig = -0x1,r0  // Form significand 0xffffffffffffffff
-     fma.s1    asin_poly_p15  =    asin_t,asin_coeff_P16,asin_coeff_P15
-     nop.i                      999
-} 
-{     .mfi 
-     addl ASIN_snorm_exp = 0x0c001,r0  // Form small exponent
-     fnma.s1   asin_d    =    asin_S0,asin_H0,asin_1by2
-     nop.i                 999;;
+{ .mfi
+      ldfe               fA3 = [rTmpPtr2], 48 // A3 or B1
+      nop.f              0
+      adds               rTmpPtr1 = 64, rTmpPtr3
 }
-
- 
-// Form the exponent and significand of a small number
-{     .mfi 
-     setf.sig asin_eps_sig = ASIN_lnorm_sig
-     fma.s1    asin_poly_p19  =    asin_t,asin_coeff_P20,asin_coeff_P19
-     nop.i                      999
-} 
-{     .mfi 
-     setf.exp asin_eps_exp = ASIN_snorm_exp
-     fma.s1    asin_poly_p4   =    asin_t,asin_coeff_P5,asin_coeff_P4
-     nop.i                      999;;
+{ .mib
+      ldfpd              fA9, fA11 = [rTmpPtr3], 16 // A9, A11 or B10, B11
+      // set p11 = 1 if |x| > 1.0
+      cmp.gt             p11, p0 = rAbsXBits, rOne
+      // branch on special path for |x| > 1.0
+(p11) br.cond.spnt       asin_abs_gt_1
 }
-
- 
-{     .mfi 
-     nop.m                      999
-     fma.s1    asin_1poly_p17 =    asin_tx,asin_coeff_P18,asin_coeff_P17
-     nop.i                      999
-} 
-{     .mfi 
-     nop.m                      999
-     fma.s1    asin_poly_p8   =    asin_t,asin_coeff_P9,asin_coeff_P8
-     nop.i                      999;;
+;;
+{ .mfi
+      ldfpd              fA17, fA19 = [rTmpPtr2], 16 // A17, A19 or B6, B7
+      // initial approximation of 1 / sqrt(1 - x)
+      frsqrta.s1         f1mXRcp, p0 = f1mX
+      nop.i              0
 }
-
- 
-{     .mfi 
-     nop.m                      999
-     fms.s1    asin_35by8     =    asin_5by2,asin_11by4,asin_5by2
-     nop.i                      999
-} 
-{     .mfi 
-     nop.m                      999
-     fma.s1    asin_63by8     =    asin_5by2,asin_11by4,f1
-     nop.i                      999;;
+{ .mfi
+      ldfpd              fA13, fA15 = [rTmpPtr3] // A13, A15 or B4, B5
+      fma.s1             fXCube = fXSqr, f8, f0 // x^3
+      nop.i              0
 }
-
- 
-{     .mfi 
-     nop.m                      999
-     fma.s1    asin_poly_p13  =    asin_t,asin_coeff_P14,asin_coeff_P13
-     nop.i                      999
-} 
-{     .mfi 
-     nop.m                      999
-     fma.s1    asin_18by4     =    asin_3by2,asin_5by2,asin_3by4
-     nop.i                      999;;
+;;
+{ .mfi
+      ldfe               fA5 = [rTmpPtr2], 48 // A5 or B2
+      // initial approximation of 1 / sqrt(1 + x)
+      frsqrta.s1         f1pXRcp, p0 = f1pX
+      nop.i              0
 }
-
- 
-{     .mfi 
-     nop.m                 999
-     fma.s1    asin_l1   =    asin_5by2,asin_d,asin_3by2
-     nop.i                 999
-} 
-{     .mfi 
-     nop.m                 999
-     fma.s1    asin_d2   =    asin_d,asin_d,f0
-     nop.i                 999;;
+{ .mfi
+      ldfpd              fA21, fA23 = [rTmpPtr1], 16 // A21, A23 or B3, B8
+      fma.s1             fXQuadr = fXSqr, fXSqr, f0 // x^4
+      nop.i              0
 }
-
- 
-{     .mfi 
-     nop.m                      999
-     fma.s1    asin_poly_p15  =    asin_t2,asin_poly_p17,asin_poly_p15
-     nop.i                      999
-} 
-{     .mfi 
-     nop.m                 999
-     fma.s1    asin_T0   =    asin_d,asin_S0,f0
-     nop.i                 999;;
+;;
+{ .mfi
+      ldfe               fA7 = [rTmpPtr1] // A7 or Pi/2
+      fma.s1             fRSqr = fR, fR, f0 // R^2
+      nop.i              0
 }
-
- 
-{     .mfi 
-     nop.m                      999
-     fma.s1    asin_poly_p19  =    asin_t2,asin_coeff_P21,asin_poly_p19
-     nop.i                      999
-} 
-{     .mfi 
-     nop.m                      999
-     fma.s1    asin_poly_p4   =    asin_t2,asin_poly_p6,asin_poly_p4
-     nop.i                      999;;
+{ .mfb
+      ldfpd              fA25, fA27 = [rTmpPtr2] // A25, A27 or B9, B12
+      nop.f              0
+(p6)  br.cond.spnt       asin_base_range;
 }
+;;
 
- 
-{     .mfi 
-     nop.m                 999
-     fma.s1    asin_d1   =    asin_35by8,asin_d,f0
-     nop.i                 999
-} 
-{     .mfi 
-     nop.m                      999
-     fma.s1    asin_231by16   =    asin_3by2,asin_35by8,asin_63by8
-     nop.i                      999;;
+{ .mfi
+      nop.m              0
+(p9)  fma.s1             fH = fHalf, f1mXRcp, f0 // H0 for x > 0
+      nop.i              0
 }
-
- 
-{     .mfi 
-     nop.m                      999
-     fma.s1    asin_poly_p2   =    asin_t,asin_coeff_P3,asin_coeff_P2
-     nop.i                      999
-} 
-{     .mfi 
-     nop.m                      999
-     fma.s1    asin_poly_p8   =    asin_t2,asin_coeff_P10,asin_poly_p8
-     nop.i                      999;;
+{ .mfi
+      nop.m              0
+(p9)  fma.s1             fS = f1mX, f1mXRcp, f0  // S0 for x > 0
+      nop.i              0
 }
-
- 
-{     .mfi 
-     nop.m                      999
-     fma.s1    asin_poly_p11  =    asin_t,asin_coeff_P12,asin_coeff_P11
-     nop.i                      999
-} 
-{     .mfi 
-     nop.m                 999
-     fma.s1    asin_e0   =    asin_d2,asin_l1,asin_d
-     nop.i                 999;;
+;;
+{ .mfi
+      nop.m              0
+(p8)  fma.s1             fH = fHalf, f1pXRcp, f0 // H0 for x < 0
+      nop.i              0
 }
-
- 
-{     .mfi 
-     nop.m                      999
-     fma.s1    asin_1poly_p15 =    asin_tx,asin_coeff_P16,asin_coeff_P15
-     nop.i                      999
-} 
-{     .mfi 
-     nop.m                      999
-     fma.s1    asin_poly_p0   =    asin_t,asin_coeff_P1,f1
-     nop.i                      999;;
+{ .mfi
+      nop.m              0
+(p8)  fma.s1             fS = f1pX, f1pXRcp, f0  // S0 for x > 0
+      nop.i              0
 }
-
- 
-{     .mfi 
-     nop.m                      999
-     fma.s1    asin_1poly_p19 =    asin_tx,asin_coeff_P20,asin_coeff_P19
-     nop.i                      999
-} 
-{     .mfi 
-     nop.m                      999
-     fma.s1    asin_1poly_p4  =    asin_tx,asin_coeff_P5,asin_coeff_P4
-     nop.i                      999;;
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fRQuadr = fRSqr, fRSqr, f0 // R^4
+      nop.i              0
 }
-
- 
-{     .mfi 
-     nop.m                      999
-     fma.s1    asin_1poly_p8  =    asin_tx,asin_coeff_P9,asin_coeff_P8
-     nop.i                      999
-} 
-{     .mfi 
-     nop.m                 999
-     fma.s1    asin_l2   =    asin_231by16,asin_d,asin_63by8
-     nop.i                 999;;
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fB11 = fB11, fR, fB10
+      nop.i              0
 }
-
- 
-{     .mfi 
-     nop.m                 999
-     fma.s1    asin_d3   =    asin_d2,asin_d,f0
-     nop.i                 999
-} 
-{     .mfi 
-     nop.m                 999
-     fma.s1    asin_T3   =    asin_d2,asin_T0,f0
-     nop.i                 999;;
+{ .mfi
+      nop.m              0
+      fma.s1             fB1 = fB1, fR, fB0
+      nop.i              0
 }
-
- 
-{     .mfi 
-     nop.m                      999
-     fma.s1    asin_429by16   =    asin_18by4,asin_11by4,asin_231by16
-     nop.i                      999
-} 
-{     .mfi 
-     nop.m                 999
-     fma.s1    asin_S1   =    asin_e0,asin_S0,asin_S0
-     nop.i                 999;;
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fB5 = fB5, fR, fB4
+      nop.i              0
 }
-
- 
-{     .mfi 
-     nop.m                      999
-     fma.s1    asin_poly_p4   =    asin_t4,asin_poly_p8,asin_poly_p4
-     nop.i                      999
-} 
-{     .mfi 
-     nop.m                      999
-     fma.s1    asin_poly_p15  =    asin_t4,asin_poly_p19,asin_poly_p15
-     nop.i                      999;;
+{ .mfi
+      nop.m              0
+      fma.s1             fB7 = fB7, fR, fB6
+      nop.i              0
 }
-
- 
-{     .mfi 
-     nop.m                      999
-     fma.s1    asin_poly_p0   =    asin_t2,asin_poly_p2,asin_poly_p0
-     nop.i                      999
-} 
-{     .mfi 
-     nop.m                      999
-     fma.s1    asin_poly_p11  =    asin_t2,asin_poly_p13,asin_poly_p11
-     nop.i                      999;;
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fB3 = fB3, fR, fB2
+      nop.i              0
 }
-
- 
-{     .mfi 
-     nop.m                 999
-     fma.s1    asin_t8   =    asin_t4,asin_t4,f0
-     nop.i                 999
-} 
-{     .mfi 
-     nop.m                 999
-     fma.s1    asin_e1   =    asin_d2,asin_l2,asin_d1
-     nop.i                 999;;
+;;
+{ .mfi
+      nop.m              0
+      fnma.s1            fD = fH, fS, fHalf // d0 = 1/2 - H0*S0
+      nop.i              0
 }
-
- 
-{     .mfi 
-     nop.m                      999
-     fma.s1    asin_1poly_p4  =    asin_tx2,asin_1poly_p6,asin_1poly_p4
-     nop.i                      999
-} 
-{     .mfi 
-     nop.m                      999
-     fma.s1    asin_1poly_p15 =    asin_tx2,asin_1poly_p17,asin_1poly_p15
-     nop.i                      999;;
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fR8 = fRQuadr, fRQuadr, f0 // R^4
+      nop.i              0
 }
-
- 
-{     .mfi 
-     nop.m                      999
-     fma.s1    asin_1poly_p8  =    asin_tx2,asin_coeff_P10,asin_1poly_p8
-     nop.i                      999
-} 
-{     .mfi 
-     nop.m                      999
-     fma.s1    asin_1poly_p19 =    asin_tx2,asin_coeff_P21,asin_1poly_p19
-     nop.i                      999;;
+{ .mfi
+      nop.m              0
+      fma.s1             fB9 = fB9, fR, fB8
+      nop.i              0
 }
-
- 
-{     .mfi 
-     nop.m                      999
-     fma.s1    asin_1poly_p2  =    asin_tx,asin_coeff_P3,asin_coeff_P2
-     nop.i                      999
-} 
-{     .mfi 
-     nop.m                      999
-     fma.s1    asin_1poly_p13 =    asin_tx,asin_coeff_P14,asin_coeff_P13
-     nop.i                      999;;
+;;
+{.mfi
+      nop.m              0
+      fma.s1             fB12 = fB12, fRSqr, fB11
+      nop.i              0
 }
-
- 
-{     .mfi 
-     nop.m                      999
-     fma.s1    asin_1poly_p0  =    asin_tx,asin_coeff_P1,f1
-     nop.i                      999
-} 
-{     .mfi 
-     nop.m                      999
-     fma.s1    asin_1poly_p11 =    asin_tx,asin_coeff_P12,asin_coeff_P11
-     nop.i                      999;;
+{.mfi
+      nop.m              0
+      fma.s1             fB7 = fB7, fRSqr, fB5
+      nop.i              0
 }
-
- 
-{     .mfi 
-     nop.m                 999
-     fma.s1    asin_l3   =    asin_429by16,asin_d,f0
-     nop.i                 999
-} 
-{     .mfi 
-     nop.m                 999
-     fma.s1    asin_z    =    asin_e1,asin_T3,asin_S1
-     nop.i                 999;;
+;;
+{.mfi
+      nop.m              0
+      fma.s1             fB3 = fB3, fRSqr, fB1
+      nop.i              0
 }
-
- 
-{     .mfi 
-     nop.m                      999
-     fma.s1    asin_poly_p11  =    asin_t4,asin_poly_p15,asin_poly_p11
-     nop.i                      999
-} 
-{     .mfi 
-     nop.m                 999
-     fma.s1    asin_T6   =    asin_T3,asin_d3,f0
-     nop.i                 999;;
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fH = fH, fD, fH // H1 = H0 + H0*d0
+      nop.i              0
 }
-
- 
-{     .mfi 
-     nop.m                 999
-     fma.s1    asin_t11  =    asin_t8,asin_t3,f0
-     nop.i                 999
-} 
-{     .mfi 
-     nop.m                      999
-     fma.s1    asin_poly_p0   =    asin_t4,asin_poly_p4,asin_poly_p0
-     nop.i                      999;;
+{ .mfi
+      nop.m              0
+      fma.s1             fS = fS, fD, fS // S1 = S0 + S0*d0
+      nop.i              0
 }
-
- 
-{     .mfi 
-     nop.m                      999
-     fma.s1    asin_1poly_p4  =    asin_tx4,asin_1poly_p8,asin_1poly_p4
-     nop.i                      999
-} 
-{     .mfi 
-     nop.m                      999
-     fma.s1    asin_1poly_p15 =    asin_tx4,asin_1poly_p19,asin_1poly_p15
-     nop.i                      999;;
+;;
+{.mfi
+      nop.m              0
+      fma.s1             fPiBy2 = fPiBy2, fSignX, f0 // signum(x)*Pi/2
+      nop.i              0
 }
-
- 
-{     .mfi 
-     nop.m                      999
-     fma.s1    asin_1poly_p0  =    asin_tx2,asin_1poly_p2,asin_1poly_p0
-     nop.i                      999
-} 
-{     .mfi 
-     nop.m                      999
-     fma.s1    asin_1poly_p11 =    asin_tx2,asin_1poly_p13,asin_1poly_p11
-     nop.i                      999;;
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fB12 = fB12, fRSqr, fB9
+      nop.i              0
 }
-
- 
-{     .mfi 
-     nop.m                                                         999
-//     fcmp.le.s1     asin_pred_LEsqrt2by2,asin_pred_GTsqrt2by2    =    asin_abs_x,asin_const_sqrt2by2
-     fcmp.le.s1     p7,p8    =    asin_abs_x,asin_const_sqrt2by2
-     nop.i                                                         999
-} 
-{     .mfi 
-     nop.m                 999
-     fma.s1    asin_tx8  =    asin_tx4,asin_tx4,f0
-     nop.i                 999;;
+{ .mfi
+      nop.m              0
+      fma.s1             fB7 = fB7, fRQuadr, fB3
+      nop.i              0
 }
-
- 
-// Form a small number to force inexact flag for small args 
-{     .mfi 
-     nop.m                 999
-     fmerge.se asin_eps = asin_eps_exp,asin_eps_sig
-     nop.i                 999
-} 
-{     .mfi 
-     nop.m                 999
-     fma.s1    asin_z    =    asin_l3,asin_T6,asin_z
-     nop.i                 999;;
-} 
- 
-{     .mfi 
-     nop.m                      999
-     fma.s1    asin_series_t  =    asin_t11,asin_poly_p11,asin_poly_p0
-     nop.i                      999;;
-} 
- 
-{     .mfi 
-     nop.m                      999
-     fma.s1    asin_1poly_p0  =    asin_tx4,asin_1poly_p4,asin_1poly_p0
-     nop.i                      999
-} 
-{     .mfi 
-     nop.m                      999
-     fma.s1    asin_1poly_p11 =    asin_tx4,asin_1poly_p15,asin_1poly_p11
-     nop.i                      999;;
+;;
+{.mfi
+      nop.m              0
+      fnma.s1            fD = fH, fS, fHalf // d1 = 1/2 - H1*S1
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fnma.s1            fSignedS = fSignX, fS, f0 // -signum(x)*S1
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fCloseTo1Pol = fB12, fR8, fB7
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fH = fH, fD, fH // H2 = H1 + H1*d1
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fS = fS, fD, fS // S2 = S1 + S1*d1
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      // -signum(x)* S2 = -signum(x)*(S1 + S1*d1)
+      fma.s1             fSignedS = fSignedS, fD, fSignedS
+      nop.i              0
+}
+;;
+{.mfi
+      nop.m              0
+      fnma.s1            fD = fH, fS, fHalf // d2 = 1/2 - H2*S2
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      // signum(x)*(Pi/2 - PolB*S2)
+      fma.s1             fPiBy2 = fSignedS, fCloseTo1Pol, fPiBy2
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      // -signum(x)*PolB * S2
+      fma.s1             fCloseTo1Pol = fSignedS, fCloseTo1Pol, f0
+      nop.i              0
+}
+;;
+{ .mfb
+      nop.m              0
+      // final result for 0.625 <= |x| < 1
+      fma.d.s0           f8 = fCloseTo1Pol, fD, fPiBy2
+      // exit here for  0.625 <= |x| < 1
+      br.ret.sptk        b0
 }
+;;
 
- 
-{     .mfi 
-     nop.m                 999
-     fma.s1    asin_tx11 =    asin_tx8,asin_tx3,f0
-     nop.i                 999;;
-} 
- 
-{     .mfi 
-                         nop.m                 999
-//(asin_pred_GTsqrt2by2)   fnma.s1      answer2   =    asin_z,asin_series_t,asin_const_piby2
-(p8)   fnma.s1      answer2   =    asin_z,asin_series_t,asin_const_piby2
-                         nop.i                 999;;
-} 
- 
-{     .mfi 
-     nop.m                      999
-     fma.s1    asin_series_tx =    asin_tx11,asin_1poly_p11,asin_1poly_p0
-     nop.i                      999;;
-} 
- 
-{     .mfi 
-                         nop.m                 999
-//(asin_pred_GTsqrt2by2)   fma.d     f8   =    asin_sgn_x,answer2,f0
-(p8)   fma.d     f8   =    asin_sgn_x,answer2,f0
-                         nop.i                 999;;
-} 
- 
-// asin_eps is added only to force inexact and possibly underflow flag 
-// in case asin_series_tx is zero
-//
-{     .mfi 
-                         nop.m                 999
-(p7)   fma.d     asin_eps   =    f8,asin_series_tx,asin_eps
-                         nop.i                 999
-} 
-{     .mfb 
-                         nop.m                 999
-//(asin_pred_LEsqrt2by2)   fma.d     f8   =    f8,asin_series_tx,f0
-(p7)   fma.d     f8   =    f8,asin_series_tx,f0
-       br.ret.sptk b0
-} 
+
+// here if |x| < 0.625
+.align 32
+asin_base_range:
+{ .mfi
+      nop.m              0
+      fma.s1             fA33 = fA33, fXSqr, fA31
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fA15 = fA15, fXSqr, fA13
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fA29 = fA29, fXSqr, fA27
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fA25 = fA25, fXSqr, fA23
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fA21 = fA21, fXSqr, fA19
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fA9 = fA9, fXSqr, fA7
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fA5 = fA5, fXSqr, fA3
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fA35 = fA35, fXQuadr, fA33
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fA17 = fA17, fXQuadr, fA15
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fX8 = fXQuadr, fXQuadr, f0 // x^8
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fA25 = fA25, fXQuadr, fA21
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fA9 = fA9, fXQuadr, fA5
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fA35 = fA35, fXQuadr, fA29
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fA17 = fA17, fXSqr, fA11
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fX16 = fX8, fX8, f0 // x^16
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fA35 = fA35, fX8, fA25
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fA17 = fA17, fX8, fA9
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fBaseP = fA35, fX16, fA17
+      nop.i              0
+}
+;;
+{ .mfb
+      nop.m              0
+      // final result for |x| < 0.625
+      fma.d.s0           f8 = fBaseP, fXCube, f8
+      // exit here for |x| < 0.625 path
+      br.ret.sptk        b0
+}
 ;;
 
+// here if |x| = 1
+// asin(x) = sign(x) * Pi/2
+.align 32
+asin_abs_1:
+{ .mfi
+      ldfe               fPiBy2 = [rPiBy2Ptr] // Pi/2
+      nop.f              0
+      nop.i              0
+}
+;;
+{.mfb
+      nop.m              0
+      // result for |x| = 1.0
+      fma.d.s0           f8 = fPiBy2, fSignX, f0
+      // exit here for |x| = 1.0
+      br.ret.sptk        b0
+}
+;;
 
-L(ASIN_ABS_1):
-// Here for short exit if |x|=1
-{     .mfb 
-     nop.m                      999
-     fma.d    f8 =    asin_sgn_x,asin_const_piby2,f0
-     br.ret.sptk b0
-} 
+// here if x is a NaN, denormal, or zero
+.align 32
+asin_special:
+{ .mfi
+      nop.m              0
+      // set p12 = 1 if x is a NaN
+      fclass.m           p12, p0 = f8, 0xc3
+      nop.i              0
+}
+{ .mlx
+      nop.m              0
+      // smallest positive DP normalized number
+      movl               rDenoBound = 0x0010000000000000
+}
+;;
+{ .mfi
+      nop.m              0
+      // set p13 = 1 if x = 0.0
+      fclass.m           p13, p0 = f8, 0x07
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fnorm.s1           fNormX = f8
+      nop.i              0
+}
+;;
+{ .mfb
+      // load smallest normal to FP reg
+      setf.d             fDenoBound = rDenoBound
+      // answer if x is a NaN
+(p12) fma.d.s0           f8 = f8,f1,f0
+      // exit here if x is a NaN
+(p12) br.ret.spnt        b0
+}
+;;
+{ .mfb
+      nop.m              0
+      nop.f              0
+      // exit here if x = 0.0
+(p13) br.ret.spnt        b0
+}
+;;
+// if we still here then x is denormal or unnormal
+{ .mfi
+      nop.m              0
+      // absolute value of normalized x
+      fmerge.s           fNormX = f1, fNormX
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      // set p14 = 1 if normalized x is greater than or
+      // equal to the smallest denormalized value
+      // So, if p14 is set to 1 it means that we deal with
+      // unnormal rather than with "true" denormal
+      fcmp.ge.s1         p14, p0 = fNormX, fDenoBound
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+(p14) fcmp.eq.s0         p6, p0 = f8, f0      // Set D flag if x unnormal
+      nop.i              0
+}
+{ .mfb
+      nop.m              0
+      // normalize unnormal input
+(p14) fnorm.s1           f8 = f8
+      // return to the main path
+(p14) br.cond.sptk       asin_unnormal_back
+}
+;;
+// if we still here it means that input is "true" denormal
+{ .mfb
+      nop.m              0
+      // final result if x is denormal
+      fma.d.s0           f8 = f8, fXSqr, f8
+      // exit here if x is denormal
+      br.ret.sptk        b0
+}
 ;;
 
+// here if |x| > 1.0
+// error handler should be called
+.align 32
+asin_abs_gt_1:
+{ .mfi
+      alloc              r32 = ar.pfs, 0, 3, 4, 0 // get some registers
+      fmerge.s           FR_X = f8,f8
+      nop.i              0
+}
+{ .mfb
+      mov                GR_Parameter_TAG = 61 // error code
+      frcpa.s0           FR_RESULT, p0 = f0,f0
+      // call error handler routine
+      br.cond.sptk       __libm_error_region
+}
+;;
+GLOBAL_LIBM_END(asin)
 
-.endp asin
-ASM_SIZE_DIRECTIVE(asin)
 
-.proc __libm_error_region
-__libm_error_region:
+LOCAL_LIBM_ENTRY(__libm_error_region)
 .prologue
 { .mfi
         add   GR_Parameter_Y=-32,sp             // Parameter 2 value
-                nop.f 999
+        nop.f 0
 .save   ar.pfs,GR_SAVE_PFS
         mov  GR_SAVE_PFS=ar.pfs                 // Save ar.pfs
 }
@@ -857,28 +815,29 @@ __libm_error_region:
         mov GR_SAVE_GP=gp                       // Save gp
 };;
 { .mmi
-        stfs [GR_Parameter_Y] = f1,16         // Store Parameter 2 on stack
+        stfd [GR_Parameter_Y] = FR_Y,16         // STORE Parameter 2 on stack
         add GR_Parameter_X = 16,sp              // Parameter 1 address
 .save   b0, GR_SAVE_B0
         mov GR_SAVE_B0=b0                       // Save b0
 };;
-
 .body
-        frcpa.s0 f9,p0 = f0,f0
-;;
-
 { .mib
-        stfd [GR_Parameter_X] = f8            // Store Parameter 1 on stack
-        add   GR_Parameter_RESULT = 0,GR_Parameter_Y
-        nop.b 0                                 // Parameter 3 address
+        stfd [GR_Parameter_X] = FR_X                  // STORE Parameter 1 on stack
+        add   GR_Parameter_RESULT = 0,GR_Parameter_Y  // Parameter 3 address
+        nop.b 0
 }
 { .mib
-        stfd [GR_Parameter_Y] = f9,-16           // Store Parameter 3 on stack
-        adds r32 = 48,sp
-        br.call.sptk b0=__libm_error_support#   // Call error handling function
+        stfd [GR_Parameter_Y] = FR_RESULT             // STORE Parameter 3 on stack
+        add   GR_Parameter_Y = -16,GR_Parameter_Y
+        br.call.sptk b0=__libm_error_support#         // Call error handling function
 };;
 { .mmi
-        ldfd  f8 = [r32]       // Get return result off stack
+        add   GR_Parameter_RESULT = 48,sp
+        nop.m 0
+        nop.i 0
+};;
+{ .mmi
+        ldfd  f8 = [GR_Parameter_RESULT]       // Get return result off stack
 .restore sp
         add   sp = 64,sp                       // Restore stack pointer
         mov   b0 = GR_SAVE_B0                  // Restore return address
@@ -887,11 +846,8 @@ __libm_error_region:
         mov   gp = GR_SAVE_GP                  // Restore gp
         mov   ar.pfs = GR_SAVE_PFS             // Restore ar.pfs
         br.ret.sptk     b0                     // Return
-
 };;
 
-.endp __libm_error_region
-ASM_SIZE_DIRECTIVE(__libm_error_region)
-
-.type   __libm_error_support,@function
-.global __libm_error_support
+LOCAL_LIBM_END(__libm_error_region)
+.type   __libm_error_support#,@function
+.global __libm_error_support#
diff --git a/sysdeps/ia64/fpu/e_asinf.S b/sysdeps/ia64/fpu/e_asinf.S
index ddae85880b..f9a1312b26 100644
--- a/sysdeps/ia64/fpu/e_asinf.S
+++ b/sysdeps/ia64/fpu/e_asinf.S
@@ -1,10 +1,10 @@
 .file "asinf.s"
 
-// Copyright (C) 2000, 2001, Intel Corporation
+
+// Copyright (c) 2000 - 2003, Intel Corporation
 // All rights reserved.
 //
-// Contributed 2/02/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story,
-// and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation.
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
 //
 // Redistribution and use in source and binary forms, with or without
 // modification, are permitted provided that the following conditions are
@@ -20,7 +20,7 @@
 // * The name of Intel Corporation may not be used to endorse or promote
 // products derived from this software without specific prior written
 // permission.
-//
+
 // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
 // "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
@@ -35,21 +35,25 @@
 //
 // Intel Corporation is the author of this code, and requests that all
 // problem reports or change requests be submitted to it directly at
-// http://developer.intel.com/opensource.
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
 
 // History
 //==============================================================
-// 2/02/00  Initial revision
-// 6/28/00  Improved speed 
-// 6/31/00  Changed register allocation because of some duplicate macros
+// 02/02/00 Initial version
+// 06/28/00 Improved speed 
+// 06/31/00 Changed register allocation because of some duplicate macros
 //          moved nan exit bundle up to gain a cycle. 
-// 8/08/00  Improved speed by avoiding SIR flush.
-// 8/15/00  Bundle added after call to __libm_error_support to properly
+// 08/08/00 Improved speed by avoiding SIR flush.
+// 08/15/00 Bundle added after call to __libm_error_support to properly
 //          set [the previously overwritten] GR_Parameter_RESULT.
-// 8/17/00  Changed predicate register macro-usage to direct predicate
+// 08/17/00 Changed predicate register macro-usage to direct predicate
 //          names due to an assembler bug.
 // 10/17/00 Improved speed of x=0 and x=1 paths, set D flag if x denormal.
+// 03/13/01 Corrected sign of imm1 value in dep instruction.
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 02/06/03 Reordered header: .section, .global, .proc, .align
 
+	
 // Description
 //=========================================
 // The asinf function computes the arc sine of x in the range [-pi,+pi].
@@ -119,7 +123,6 @@
 //  answer2 = - sign(x) z P(t) + (sign(x) pi/2)
 //
 
-#include "libm_support.h"
 
 // Assembly macros
 //=========================================
@@ -225,42 +228,30 @@ asinf_poly_p1a                   = f90
 // Data tables
 //==============================================================
 
-#ifdef _LIBC
-.rodata
-#else
-.data
-#endif
+RODATA
 
 .align 16
 
-asinf_coeff_1_table:
-ASM_TYPE_DIRECTIVE(asinf_coeff_1_table,@object)
+LOCAL_OBJECT_START(asinf_coeff_1_table)
 data8 0x3FC5555607DCF816 // P1
 data8 0x3F9CF81AD9BAB2C6 // P4
 data8 0x3FC59E0975074DF3 // P7
 data8 0xBFA6F4CC2780AA1D // P6
 data8 0x3FC2DD45292E93CB // P9
 data8 0x3fe6a09e667f3bcd // sqrt(2)/2
-ASM_SIZE_DIRECTIVE(asinf_coeff_1_table)
+LOCAL_OBJECT_END(asinf_coeff_1_table)
 
-asinf_coeff_2_table:
-ASM_TYPE_DIRECTIVE(asinf_coeff_2_table,@object)
+LOCAL_OBJECT_START(asinf_coeff_2_table)
 data8 0x3FA6F108E31EFBA6 // P3
 data8 0xBFCA31BF175D82A0 // P8
 data8 0x3FA30C0337F6418B // P5
 data8 0x3FB332C9266CB1F9 // P2
 data8 0x3ff921fb54442d18 // pi_by_2
-ASM_SIZE_DIRECTIVE(asinf_coeff_2_table)
+LOCAL_OBJECT_END(asinf_coeff_2_table)
 
 
-.align 32
-.global asinf
-
 .section .text
-.proc  asinf
-.align 32
-
-asinf:
+GLOBAL_LIBM_ENTRY(asinf)
  
 // Load the addresses of the two tables.
 // Then, load the coefficients and other constants.
@@ -345,7 +336,7 @@ asinf:
 } 
 {     .mfb 
      nop.m                                               999
-(p8) fma.s f8                = f8,f1,f0
+(p8) fma.s.s0 f8                = f8,f1,f0
 (p8) br.ret.spnt   b0 ;;  // Exit if x=nan
 }
 
@@ -370,7 +361,7 @@ asinf:
 {     .mfb 
      nop.m                      999
      fma.s1    asinf_t4  =    asinf_t2,asinf_t2,f0
-(p6) br.cond.spnt  L(ASINF_ABS_ONE) ;;     // Branch if |x|=1
+(p6) br.cond.spnt  ASINF_ABS_ONE ;;     // Branch if |x|=1
 } 
 
 {     .mfi 
@@ -572,28 +563,26 @@ asinf:
 .pred.rel "mutex",p8,p7    //asinf_pred_GTsqrt2by2,asinf_pred_LEsqrt2by2
 {     .mfi 
                          nop.m            999
-(p8)  fnma.s     f8   =    asinf_z,asinf_Pt,asinf_sgn_x_piby2
+(p8)  fnma.s.s0     f8   =    asinf_z,asinf_Pt,asinf_sgn_x_piby2
                          nop.i            999
 } 
  
 {     .mfb 
                          nop.m            999
-(p7)  fma.s    f8    =    asinf_x11,asinf_poly_Bx,asinf_poly_Ax
+(p7)  fma.s.s0    f8    =    asinf_x11,asinf_poly_Bx,asinf_poly_Ax
                          br.ret.sptk b0 ;;
 } 
 
-L(ASINF_ABS_ONE):
+ASINF_ABS_ONE:
 // Here for short exit if |x|=1
 {     .mfb 
      nop.m                      999
-     fma.s    f8 =    asinf_sgn_x,asinf_const_piby2,f0
+     fma.s.s0    f8 =    asinf_sgn_x,asinf_const_piby2,f0
      br.ret.sptk b0
 } 
 ;;
 
-.endp asinf
-ASM_SIZE_DIRECTIVE(asinf)
-
+GLOBAL_LIBM_END(asinf)
 // Stack operations when calling error support.
 //       (1)               (2)                  
 //   sp   -> +          psp -> +               
@@ -623,8 +612,7 @@ ASM_SIZE_DIRECTIVE(asinf)
 //                              restore gp
 //                              restore ar.pfs
 
-.proc __libm_error_region
-__libm_error_region:
+LOCAL_LIBM_ENTRY(__libm_error_region)
 .prologue
 { .mfi
         add   GR_Parameter_Y=-32,sp             // Parameter 2 value
@@ -680,8 +668,7 @@ __libm_error_region:
         br.ret.sptk     b0                     // Return
 };;
 
-.endp __libm_error_region
-ASM_SIZE_DIRECTIVE(__libm_error_region)
+LOCAL_LIBM_END(__libm_error_region)
 
 .type   __libm_error_support#,@function
 .global __libm_error_support#
diff --git a/sysdeps/ia64/fpu/e_asinl.S b/sysdeps/ia64/fpu/e_asinl.S
index 9153832090..bf5feba155 100644
--- a/sysdeps/ia64/fpu/e_asinl.S
+++ b/sysdeps/ia64/fpu/e_asinl.S
@@ -1,10 +1,10 @@
 .file "asinl.s"
 
-// Copyright (C) 2000, 2001, Intel Corporation
+
+// Copyright (c) 2001 - 2003, Intel Corporation
 // All rights reserved.
-// 
-// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story,
-// and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation.
+//
+// Contributed 2001 by the Intel Numerics Group, Intel Corporation
 //
 // Redistribution and use in source and binary forms, with or without
 // modification, are permitted provided that the following conditions are
@@ -20,720 +20,2448 @@
 // * The name of Intel Corporation may not be used to endorse or promote
 // products derived from this software without specific prior written
 // permission.
-//
-// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
-// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
-// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS 
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
 // CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
-// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, 
-// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 
-// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY 
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
 // OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
-// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 
-// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 
-// 
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+//
 // Intel Corporation is the author of this code, and requests that all
-// problem reports or change requests be submitted to it directly at 
-// http://developer.intel.com/opensource.
+// problem reports or change requests be submitted to it directly at
+// http: //www.intel.com/software/products/opensource/libraries/num.htm.
 //
 // History
 //==============================================================
-// 2/02/00  Initial version 
-// 4/04/00  Unwind support added
-// 8/15/00  Bundle added after call to __libm_error_support to properly
-//          set [the previously overwritten] GR_Parameter_RESULT.
+// 08/28/01 New version
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 02/06/03 Reordered header: .section, .global, .proc, .align
 //
 // API
 //==============================================================
-// long double = asinl(long double)
-// input  floating point f8
-// output floating point f8
+// long double asinl(long double)
 //
-// Registers used
+// Overview of operation
 //==============================================================
+// Background
 //
-// predicate registers used:
-// p6 -> p12
+// Implementation
 //
-// floating-point registers used:
-// f8 has input, then output
-// f32 -> f87, f8 -> f13, f32 -> f87
+// For |s| in [2^{-4}, sqrt(2)/2]:
+// Let t= 2^k*1.b1 b2..b6 1, where s= 2^k*1.b1 b2.. b52
+// asin(s)= asin(t)+asin(r), where r= s*sqrt(1-t^2)-t*sqrt(1-s^2), i.e.
+// r= (s-t)*sqrt(1-t^2)-t*sqrt(1-t^2)*(sqrt((1-s^2)/(1-t^2))-1)
+// asin(r)-r evaluated as 9-degree polynomial (c3*r^3+c5*r^5+c7*r^7+c9*r^9)
+// The 64-bit significands of sqrt(1-t^2), 1/(1-t^2) are read from the table,
+// along with the high and low parts of asin(t) (stored as two double precision
+// values)
 //
-// general registers used:
-// r32 -> r47
+// |s| in (sqrt(2)/2, sqrt(255/256)):
+// Let t= 2^k*1.b1 b2..b6 1, where (1-s^2)*frsqrta(1-s^2)= 2^k*1.b1 b2..b6..
+// asin(|s|)= pi/2-asin(t)+asin(r), r= s*t-sqrt(1-s^2)*sqrt(1-t^2)
+// To minimize accumulated errors, r is computed as
+// r= (t*s)_s-t^2*y*z+z*y*(t^2-1+s^2)_s+z*y*(1-s^2)_s*x+z'*y*(1-s^2)*PS29+
+// +(t*s-(t*s)_s)+z*y*((t^2-1-(t^2-1+s^2)_s)+s^2)+z*y*(1-s^2-(1-s^2)_s)+
+// +ez*z'*y*(1-s^2)*(1-x),
+// where y= frsqrta(1-s^2), z= (sqrt(1-t^2))_s (rounded to 24 significant bits)
+// z'= sqrt(1-t^2), x= ((1-s^2)*y^2-1)/2
+//
+// |s|<2^{-4}: evaluate as 17-degree polynomial
+// (or simply return s, if|s|<2^{-64})
+//
+// |s| in [sqrt(255/256), 1): asin(|s|)= pi/2-asin(sqrt(1-s^2))
+// use 17-degree polynomial for asin(sqrt(1-s^2)),
+// 9-degree polynomial to evaluate sqrt(1-s^2)
+// High order term is (pi/2)_high-(y*(1-s^2))_high
 //
-// Overview of operation
-//==============================================================
-// There are three paths
-// 1. |x| < 2^-40                 ASIN_TINY
-// 2. 2^-40 <= |x| < 1/4          ASIN_POLY
-// 3. 1/4 <= |x| < 1              ASIN_ATAN
 
-#include "libm_support.h"
 
-// Assembly macros
-//==============================================================
-FR_RESULT = f10
-FR_X = f8
-FR_Y = f1
-asin_P79                   = f32
-asin_P59                   = f33
-asin_P39                   = f34
-asin_P19                   = f35
-
-asin_P810                  = f36
-asin_P610                  = f37
-asin_P410                  = f38
-asin_P210                  = f39
-
-asin_A1                    = f41
-asin_A2                    = f42
-asin_A3                    = f43
-asin_A4                    = f44
-asin_A5                    = f45
-asin_A6                    = f46
-asin_A7                    = f47
-asin_A8                    = f48
-asin_A9                    = f49
-asin_A10                   = f50
-
-asin_X2                    = f51
-asin_X4                    = f52
-
-asin_B                     = f53
-asin_Bb                    = f54
-asin_C                     = f55
-asin_Cc                    = f56
-asin_D                     = f57
-
-asin_W                     = f58
-asin_Ww                    = f59
-
-asin_y0                    = f60
-asin_y1                    = f61
-asin_y2                    = f62
-
-asin_H                     = f63
-asin_Hh                    = f64
-
-asin_t1                    = f65
-asin_t2                    = f66
-asin_t3                    = f67
-asin_t4                    = f68
-asin_t5                    = f69
-
-asin_Pseries               = f70
-asin_NORM_f8               = f71
-asin_ABS_NORM_f8           = f72
-
-asin_2m100                 = f73
-asin_P1P2                  = f74
-asin_HALF                  = f75
-asin_1mD                   = f76
-
-asin_1mB                   = f77
-asin_1mBmC                 = f78 
-asin_S                     = f79
-
-asin_BmWW                  = f80 
-asin_BmWWpb                = f81 
-asin_2W                    = f82 
-asin_1d2W                  = f83 
-asin_Dd                    = f84
-
-asin_XWw                   = f85 
-asin_low                   = f86
-
-asin_pi_by_2               = f87
-asin_pi_by_2_lo            = f88
-
-asin_GR_17_ones            = r33
-asin_GR_16_ones            = r34
-asin_GR_signexp_f8         = r35
-asin_GR_exp                = r36
-asin_GR_true_exp           = r37
-asin_GR_ff9b               = r38 
-
-GR_SAVE_B0              = r39
-GR_SAVE_SP              = r40
-GR_SAVE_PFS             = r33 
-// r33 can be used safely.
-// r40 is address of table of coefficients
-// Later it is used to save sp across calls 
-GR_SAVE_GP              = r41
-asin_GR_fffe               = r42 
-asin_GR_retval             = r43 
-
-GR_Parameter_X                 = r44 
-GR_Parameter_Y                 = r45 
-GR_Parameter_RESULT            = r46 
-GR_Parameter_TAG               = r47 
-
-
-// 2^-40:
-// A true exponent of -40 is
-//                    : -40 + register_bias
-//                    : -28 + ffff = ffd7
-
-// A true exponent of -100 is 
-//                    : -100 + register_bias
-//                    : -64 + ffff = ff9b
-
-// Data tables
+
+// Registers used
 //==============================================================
+// f6-f15, f32-f36
+// r2-r3, r23-r23
+// p6, p7, p8, p12
+//
+
+
+       GR_SAVE_B0= r33
+       GR_SAVE_PFS= r34
+       GR_SAVE_GP= r35 // This reg. can safely be used
+       GR_SAVE_SP= r36
+
+       GR_Parameter_X= r37
+       GR_Parameter_Y= r38
+       GR_Parameter_RESULT= r39
+       GR_Parameter_TAG= r40
 
-#ifdef _LIBC
-.rodata
-#else
-.data
-#endif
+       FR_X= f10
+       FR_Y= f1
+       FR_RESULT= f8
+
+
+
+RODATA
 
 .align 16
 
-asin_coefficients:
-ASM_TYPE_DIRECTIVE(asin_coefficients,@object)
-data8  0xBB08911F2013961E, 0x00003FF8            // A10
-data8  0x981F1095A23A87D3, 0x00003FF8            // A9 
-data8  0xBDF09C6C4177BCC6, 0x00003FF8            // A8 
-data8  0xE4C3A60B049ACCEA, 0x00003FF8            // A7 
-data8  0x8E2789F4E8A8F1AD, 0x00003FF9            // A6 
-data8  0xB745D09B2B0E850B, 0x00003FF9            // A5 
-data8  0xF8E38E3BC4C50920, 0x00003FF9            // A4 
-data8  0xB6DB6DB6D89FCD81, 0x00003FFA            // A3 
-data8  0x99999999999AF376, 0x00003FFB            // A2 
-data8  0xAAAAAAAAAAAAAA71, 0x00003FFC            // A1
-
-data8  0xc90fdaa22168c234, 0x00003FFF            // pi_by_2_hi
-data8  0xc4c6628b80dc1cd1, 0x00003FBF            // pi_by_2_lo
-ASM_SIZE_DIRECTIVE(asin_coefficients)
-
-.align 32
-.global asinl#
+
+
+LOCAL_OBJECT_START(T_table)
+
+// stores 64-bit significand of 1/(1-t^2), 64-bit significand of sqrt(1-t^2),
+// asin(t)_high (double precision), asin(t)_low (double precision)
+
+data8 0x80828692b71c4391, 0xff7ddcec2d87e879
+data8 0x3fb022bc0ae531a0, 0x3c9f599c7bb42af6
+data8 0x80869f0163d0b082, 0xff79cad2247914d3
+data8 0x3fb062dd26afc320, 0x3ca4eff21bd49c5c
+data8 0x808ac7d5a8690705, 0xff75a89ed6b626b9
+data8 0x3fb0a2ff4a1821e0, 0x3cb7e33b58f164cc
+data8 0x808f0112ad8ad2e0, 0xff7176517c2cc0cb
+data8 0x3fb0e32279319d80, 0x3caee31546582c43
+data8 0x80934abba8a1da0a, 0xff6d33e949b1ed31
+data8 0x3fb12346b8101da0, 0x3cb8bfe463d087cd
+data8 0x8097a4d3dbe63d8f, 0xff68e16571015c63
+data8 0x3fb1636c0ac824e0, 0x3c8870a7c5a3556f
+data8 0x809c0f5e9662b3dd, 0xff647ec520bca0f0
+data8 0x3fb1a392756ed280, 0x3c964f1a927461ae
+data8 0x80a08a5f33fadc66, 0xff600c07846a6830
+data8 0x3fb1e3b9fc19e580, 0x3c69eb3576d56332
+data8 0x80a515d91d71acd4, 0xff5b892bc475affa
+data8 0x3fb223e2a2dfbe80, 0x3c6a4e19fd972fb6
+data8 0x80a9b1cfc86ff7cd, 0xff56f631062cf93d
+data8 0x3fb2640c6dd76260, 0x3c62041160e0849e
+data8 0x80ae5e46b78b0d68, 0xff5253166bc17794
+data8 0x3fb2a43761187c80, 0x3cac61651af678c0
+data8 0x80b31b417a4b756b, 0xff4d9fdb14463dc8
+data8 0x3fb2e46380bb6160, 0x3cb06ef23eeba7a1
+data8 0x80b7e8c3ad33c369, 0xff48dc7e1baf6738
+data8 0x3fb32490d0d910c0, 0x3caa05f480b300d5
+data8 0x80bcc6d0f9c784d6, 0xff4408fe9ad13e37
+data8 0x3fb364bf558b3820, 0x3cb01e7e403aaab9
+data8 0x80c1b56d1692492d, 0xff3f255ba75f5f4e
+data8 0x3fb3a4ef12ec3540, 0x3cb4fe8fcdf5f5f1
+data8 0x80c6b49bc72ec446, 0xff3a319453ebd961
+data8 0x3fb3e5200d171880, 0x3caf2dc089b2b7e2
+data8 0x80cbc460dc4e0ae8, 0xff352da7afe64ac6
+data8 0x3fb425524827a720, 0x3cb75a855e7c6053
+data8 0x80d0e4c033bee9c4, 0xff301994c79afb32
+data8 0x3fb46585c83a5e00, 0x3cb3264981c019ab
+data8 0x80d615bdb87556db, 0xff2af55aa431f291
+data8 0x3fb4a5ba916c73c0, 0x3c994251d94427b5
+data8 0x80db575d6291fd8a, 0xff25c0f84bae0cb9
+data8 0x3fb4e5f0a7dbdb20, 0x3cbee2fcc4c786cb
+data8 0x80e0a9a33769e535, 0xff207c6cc0ec09fd
+data8 0x3fb526280fa74620, 0x3c940656e5549b91
+data8 0x80e60c93498e32cd, 0xff1b27b703a19c98
+data8 0x3fb56660ccee2740, 0x3ca7082374d7b2cd
+data8 0x80eb8031b8d4052d, 0xff15c2d6105c72f8
+data8 0x3fb5a69ae3d0b520, 0x3c7c4d46e09ac68a
+data8 0x80f10482b25c6c8a, 0xff104dc8e0813ed4
+data8 0x3fb5e6d6586fec20, 0x3c9aa84ffd9b4958
+data8 0x80f6998a709c7cfb, 0xff0ac88e6a4ab926
+data8 0x3fb627132eed9140, 0x3cbced2cbbbe7d16
+data8 0x80fc3f4d3b657c44, 0xff053325a0c8a2ec
+data8 0x3fb667516b6c34c0, 0x3c6489c5fc68595a
+data8 0x8101f5cf67ed2af8, 0xfeff8d8d73dec2bb
+data8 0x3fb6a791120f33a0, 0x3cbe12acf159dfad
+data8 0x8107bd1558d6291f, 0xfef9d7c4d043df29
+data8 0x3fb6e7d226fabba0, 0x3ca386d099cd0dc7
+data8 0x810d95237e38766a, 0xfef411ca9f80b5f7
+data8 0x3fb72814ae53cc20, 0x3cb9f35731e71dd6
+data8 0x81137dfe55aa0e29, 0xfeee3b9dc7eef009
+data8 0x3fb76858ac403a00, 0x3c74df3dd959141a
+data8 0x811977aa6a479f0f, 0xfee8553d2cb8122c
+data8 0x3fb7a89e24e6b0e0, 0x3ca6034406ee42bc
+data8 0x811f822c54bd5ef8, 0xfee25ea7add46a91
+data8 0x3fb7e8e51c6eb6a0, 0x3cb82f8f78e68ed7
+data8 0x81259d88bb4ffac1, 0xfedc57dc2809fb1d
+data8 0x3fb8292d9700ad60, 0x3cbebb73c0e653f9
+data8 0x812bc9c451e5a257, 0xfed640d974eb6068
+data8 0x3fb8697798c5d620, 0x3ca2feee76a9701b
+data8 0x813206e3da0f3124, 0xfed0199e6ad6b585
+data8 0x3fb8a9c325e852e0, 0x3cb9e88f2f4d0efe
+data8 0x813854ec231172f9, 0xfec9e229dcf4747d
+data8 0x3fb8ea1042932a00, 0x3ca5ff40d81f66fd
+data8 0x813eb3e209ee858f, 0xfec39a7a9b36538b
+data8 0x3fb92a5ef2f247c0, 0x3cb5e3bece4d6b07
+data8 0x814523ca796f56ce, 0xfebd428f72561efe
+data8 0x3fb96aaf3b3281a0, 0x3cb7b9e499436d7c
+data8 0x814ba4aa6a2d3ff9, 0xfeb6da672bd48fe4
+data8 0x3fb9ab011f819860, 0x3cb9168143cc1a7f
+data8 0x81523686e29bbdd7, 0xfeb062008df81f50
+data8 0x3fb9eb54a40e3ac0, 0x3cb6e544197eb1e1
+data8 0x8158d964f7124614, 0xfea9d95a5bcbd65a
+data8 0x3fba2ba9cd080800, 0x3ca9a717be8f7446
+data8 0x815f8d49c9d639e4, 0xfea34073551e1ac8
+data8 0x3fba6c009e9f9260, 0x3c741e989a60938a
+data8 0x8166523a8b24f626, 0xfe9c974a367f785c
+data8 0x3fbaac591d0661a0, 0x3cb2c1290107e57d
+data8 0x816d283c793e0114, 0xfe95ddddb94166cb
+data8 0x3fbaecb34c6ef600, 0x3c9c7d5fbaec405d
+data8 0x81740f54e06d55bd, 0xfe8f142c93750c50
+data8 0x3fbb2d0f310cca00, 0x3cbc09479a9cbcfb
+data8 0x817b07891b15cd5e, 0xfe883a3577e9fceb
+data8 0x3fbb6d6ccf1455e0, 0x3cb9450bff4ee307
+data8 0x818210de91bba6c8, 0xfe814ff7162cf62f
+data8 0x3fbbadcc2abb1180, 0x3c9227fda12a8d24
+data8 0x81892b5abb0f2bf9, 0xfe7a55701a8697b1
+data8 0x3fbbee2d48377700, 0x3cb6fad72acfe356
+data8 0x819057031bf7760e, 0xfe734a9f2dfa1810
+data8 0x3fbc2e902bc10600, 0x3cb4465b588d16ad
+data8 0x819793dd479d4fbe, 0xfe6c2f82f643f68b
+data8 0x3fbc6ef4d9904580, 0x3c8b9ac54823960d
+data8 0x819ee1eedf76367a, 0xfe65041a15d8a92c
+data8 0x3fbcaf5b55dec6a0, 0x3ca2b8d28a954db2
+data8 0x81a6413d934f7a66, 0xfe5dc8632be3477f
+data8 0x3fbcefc3a4e727a0, 0x3c9380da83713ab4
+data8 0x81adb1cf21597d4b, 0xfe567c5cd44431d5
+data8 0x3fbd302dcae51600, 0x3ca995b83421756a
+data8 0x81b533a9563310b8, 0xfe4f2005a78fb50f
+data8 0x3fbd7099cc155180, 0x3caefa2f7a817d5f
+data8 0x81bcc6d20cf4f373, 0xfe47b35c3b0caaeb
+data8 0x3fbdb107acb5ae80, 0x3cb455fc372dd026
+data8 0x81c46b4f2f3d6e68, 0xfe40365f20b316d6
+data8 0x3fbdf177710518c0, 0x3cbee3dcc5b01434
+data8 0x81cc2126b53c1144, 0xfe38a90ce72abf36
+data8 0x3fbe31e91d439620, 0x3cb3e131c950aebd
+data8 0x81d3e85ea5bd8ee2, 0xfe310b6419c9c33a
+data8 0x3fbe725cb5b24900, 0x3c01d3fac6029027
+data8 0x81dbc0fd1637b9c1, 0xfe295d6340932d15
+data8 0x3fbeb2d23e937300, 0x3c6304cc44aeedd1
+data8 0x81e3ab082ad5a0a4, 0xfe219f08e03580b3
+data8 0x3fbef349bc2a77e0, 0x3cac1d2d6abe9c72
+data8 0x81eba6861683cb97, 0xfe19d0537a0946e2
+data8 0x3fbf33c332bbe020, 0x3ca0909dba4e96ca
+data8 0x81f3b37d1afc9979, 0xfe11f1418c0f94e2
+data8 0x3fbf743ea68d5b60, 0x3c937fc12a2a779a
+data8 0x81fbd1f388d4be45, 0xfe0a01d190f09063
+data8 0x3fbfb4bc1be5c340, 0x3cbf51a504b55813
+data8 0x820401efbf87e248, 0xfe020201fff9efea
+data8 0x3fbff53b970d1e80, 0x3ca625444b260078
+data8 0x82106ad2ffdca049, 0xfdf5e3940a49135e
+data8 0x3fc02aff52065460, 0x3c9125d113e22a57
+data8 0x8221343d6ea1d3e2, 0xfde581a45429b0a0
+data8 0x3fc06b84f8e03220, 0x3caccf362295894b
+data8 0x82324434adbf99c2, 0xfdd4de1a001fb775
+data8 0x3fc0ac0ed1fe7240, 0x3cc22f676096b0af
+data8 0x82439aee8d0c7747, 0xfdc3f8e8269d1f03
+data8 0x3fc0ec9cee9e4820, 0x3cca147e2886a628
+data8 0x825538a1d0fcb2f0, 0xfdb2d201a9b1ba66
+data8 0x3fc12d2f6006f0a0, 0x3cc72b36633bc2d4
+data8 0x82671d86345c5cee, 0xfda1695934d723e7
+data8 0x3fc16dc63789de60, 0x3cb11f9c47c7b83f
+data8 0x827949d46a121770, 0xfd8fbee13cbbb823
+data8 0x3fc1ae618682e620, 0x3cce1b59020cef8e
+data8 0x828bbdc61eeab9ba, 0xfd7dd28bff0c9f34
+data8 0x3fc1ef015e586c40, 0x3cafec043e0225ee
+data8 0x829e7995fb6de9e1, 0xfd6ba44b823ee1ca
+data8 0x3fc22fa5d07b90c0, 0x3cba905409caf8e3
+data8 0x82b17d7fa5bbc982, 0xfd5934119557883a
+data8 0x3fc2704eee685da0, 0x3cb5ef21838a823e
+data8 0x82c4c9bfc373d276, 0xfd4681cfcfb2c161
+data8 0x3fc2b0fcc9a5f3e0, 0x3ccc7952c5e0e312
+data8 0x82d85e93fba50136, 0xfd338d7790ca0f41
+data8 0x3fc2f1af73c6ba00, 0x3cbecf5f977d1ca9
+data8 0x82ec3c3af8c76b32, 0xfd2056f9fff97727
+data8 0x3fc33266fe6889a0, 0x3c9d329c022ebdb5
+data8 0x830062f46abf6022, 0xfd0cde480c43b327
+data8 0x3fc373237b34de60, 0x3cc95806d4928adb
+data8 0x8314d30108ea35f0, 0xfcf923526c1562b2
+data8 0x3fc3b3e4fbe10520, 0x3cbc299fe7223d54
+data8 0x83298ca29434df97, 0xfce526099d0737ed
+data8 0x3fc3f4ab922e4a60, 0x3cb59d8bb8fdbccc
+data8 0x833e901bd93c7009, 0xfcd0e65de39f1f7c
+data8 0x3fc435774fea2a60, 0x3c9ec18b43340914
+data8 0x8353ddb0b278aad8, 0xfcbc643f4b106055
+data8 0x3fc4764846ee80a0, 0x3cb90402efd87ed6
+data8 0x836975a60a70c52e, 0xfca79f9da4fab13a
+data8 0x3fc4b71e8921b860, 0xbc58f23449ed6365
+data8 0x837f5841ddfa7a46, 0xfc92986889284148
+data8 0x3fc4f7fa2876fca0, 0xbc6294812bf43acd
+data8 0x839585cb3e839773, 0xfc7d4e8f554ab12f
+data8 0x3fc538db36ee6960, 0x3cb910b773d4c578
+data8 0x83abfe8a5466246f, 0xfc67c2012cb6fa68
+data8 0x3fc579c1c6953cc0, 0x3cc5ede909fc47fc
+data8 0x83c2c2c861474d91, 0xfc51f2acf82041d5
+data8 0x3fc5baade9860880, 0x3cac63cdfc3588e5
+data8 0x83d9d2cfc2813637, 0xfc3be08165519325
+data8 0x3fc5fb9fb1e8e3a0, 0x3cbf7c8466578c29
+data8 0x83f12eebf397daac, 0xfc258b6ce6e6822f
+data8 0x3fc63c9731f39d40, 0x3cb6d2a7ffca3e9e
+data8 0x8408d76990b9296e, 0xfc0ef35db402af94
+data8 0x3fc67d947be9eec0, 0x3cb1980da09e6566
+data8 0x8420cc9659487cd7, 0xfbf81841c8082dc4
+data8 0x3fc6be97a21daf00, 0x3cc2ac8330e59aa5
+data8 0x84390ec132759ecb, 0xfbe0fa06e24cc390
+data8 0x3fc6ffa0b6ef05e0, 0x3ccc1a030fee56c4
+data8 0x84519e3a29df811a, 0xfbc9989a85ce0954
+data8 0x3fc740afcccca000, 0x3cc19692a5301ca6
+data8 0x846a7b527842d61b, 0xfbb1f3e9f8e45dc4
+data8 0x3fc781c4f633e2c0, 0x3cc0e98f3868a508
+data8 0x8483a65c8434b5f0, 0xfb9a0be244f4af45
+data8 0x3fc7c2e045b12140, 0x3cb2a8d309754420
+data8 0x849d1fabe4e97dd7, 0xfb81e070362116d1
+data8 0x3fc80401cddfd120, 0x3ca7a44544aa4ce6
+data8 0x84b6e795650817ea, 0xfb6971805af8411e
+data8 0x3fc84529a16ac020, 0x3c9e3b709c7d6f94
+data8 0x84d0fe6f0589da92, 0xfb50beff0423a2f5
+data8 0x3fc88657d30c49e0, 0x3cc60d65a7f0a278
+data8 0x84eb649000a73014, 0xfb37c8d84414755c
+data8 0x3fc8c78c758e8e80, 0x3cc94b2ee984c2b7
+data8 0x85061a50ccd13781, 0xfb1e8ef7eeaf764b
+data8 0x3fc908c79bcba900, 0x3cc8540ae794a2fe
+data8 0x8521200b1fb8916e, 0xfb05114998f76a83
+data8 0x3fc94a0958ade6c0, 0x3ca127f49839fa9c
+data8 0x853c7619f1618bf6, 0xfaeb4fb898b65d19
+data8 0x3fc98b51bf2ffee0, 0x3c8c9ba7a803909a
+data8 0x85581cd97f45e274, 0xfad14a3004259931
+data8 0x3fc9cca0e25d4ac0, 0x3cba458e91d3bf54
+data8 0x857414a74f8446b4, 0xfab7009ab1945a54
+data8 0x3fca0df6d551fe80, 0x3cc78ea1d329d2b2
+data8 0x85905de2341dea46, 0xfa9c72e3370d2fbc
+data8 0x3fca4f53ab3b6200, 0x3ccf60dca86d57ef
+data8 0x85acf8ea4e423ff8, 0xfa81a0f3e9fa0ee9
+data8 0x3fca90b777580aa0, 0x3ca4c4e2ec8a867e
+data8 0x85c9e62111a92e7d, 0xfa668ab6dec711b1
+data8 0x3fcad2224cf814e0, 0x3c303de5980d071c
+data8 0x85e725e947fbee97, 0xfa4b3015e883dbfe
+data8 0x3fcb13943f7d5f80, 0x3cc29d4eefa5cb1e
+data8 0x8604b8a7144cd054, 0xfa2f90fa9883a543
+data8 0x3fcb550d625bc6a0, 0x3c9e01a746152daf
+data8 0x86229ebff69e2415, 0xfa13ad4e3dfbe1c1
+data8 0x3fcb968dc9195ea0, 0x3ccc091bd73ae518
+data8 0x8640d89acf78858c, 0xf9f784f9e5a1877b
+data8 0x3fcbd815874eb160, 0x3cb5f4b89875e187
+data8 0x865f669fe390c7f5, 0xf9db17e65944eacf
+data8 0x3fcc19a4b0a6f9c0, 0x3cc5c0bc2b0bbf14
+data8 0x867e4938df7dc45f, 0xf9be65fc1f6c2e6e
+data8 0x3fcc5b3b58e061e0, 0x3cc1ca70df8f57e7
+data8 0x869d80d0db7e4c0c, 0xf9a16f237aec427a
+data8 0x3fcc9cd993cc4040, 0x3cbae93acc85eccf
+data8 0x86bd0dd45f4f8265, 0xf98433446a806e70
+data8 0x3fccde7f754f5660, 0x3cb22f70e64568d0
+data8 0x86dcf0b16613e37a, 0xf966b246a8606170
+data8 0x3fcd202d11620fa0, 0x3c962030e5d4c849
+data8 0x86fd29d7624b3d5d, 0xf948ec11a9d4c45b
+data8 0x3fcd61e27c10c0a0, 0x3cc7083c91d59217
+data8 0x871db9b741dbe44a, 0xf92ae08c9eca4941
+data8 0x3fcda39fc97be7c0, 0x3cc9258579e57211
+data8 0x873ea0c3722d6af2, 0xf90c8f9e71633363
+data8 0x3fcde5650dd86d60, 0x3ca4755a9ea582a9
+data8 0x875fdf6fe45529e8, 0xf8edf92dc5875319
+data8 0x3fce27325d6fe520, 0x3cbc1e2b6c1954f9
+data8 0x878176321154e2bc, 0xf8cf1d20f87270b8
+data8 0x3fce6907cca0d060, 0x3cb6ca4804750830
+data8 0x87a36580fe6bccf5, 0xf8affb5e20412199
+data8 0x3fceaae56fdee040, 0x3cad6b310d6fd46c
+data8 0x87c5add5417a5cb9, 0xf89093cb0b7c0233
+data8 0x3fceeccb5bb33900, 0x3cc16e99cedadb20
+data8 0x87e84fa9057914ca, 0xf870e64d40a15036
+data8 0x3fcf2eb9a4bcb600, 0x3cc75ee47c8b09e9
+data8 0x880b4b780f02b709, 0xf850f2c9fdacdf78
+data8 0x3fcf70b05fb02e20, 0x3cad6350d379f41a
+data8 0x882ea1bfc0f228ac, 0xf830b926379e6465
+data8 0x3fcfb2afa158b8a0, 0x3cce0ccd9f829985
+data8 0x885252ff21146108, 0xf810394699fe0e8e
+data8 0x3fcff4b77e97f3e0, 0x3c9b30faa7a4c703
+data8 0x88765fb6dceebbb3, 0xf7ef730f865f6df0
+data8 0x3fd01b6406332540, 0x3cdc5772c9e0b9bd
+data8 0x88ad1f69be2cc730, 0xf7bdc59bc9cfbd97
+data8 0x3fd04cf8ad203480, 0x3caeef44fe21a74a
+data8 0x88f763f70ae2245e, 0xf77a91c868a9c54e
+data8 0x3fd08f23ce0162a0, 0x3cd6290ab3fe5889
+data8 0x89431fc7bc0c2910, 0xf73642973c91298e
+data8 0x3fd0d1610f0c1ec0, 0x3cc67401a01f08cf
+data8 0x8990573407c7738e, 0xf6f0d71d1d7a2dd6
+data8 0x3fd113b0c65d88c0, 0x3cc7aa4020fe546f
+data8 0x89df0eb108594653, 0xf6aa4e6a05cfdef2
+data8 0x3fd156134ada6fe0, 0x3cc87369da09600c
+data8 0x8a2f4ad16e0ed78a, 0xf662a78900c35249
+data8 0x3fd19888f43427a0, 0x3cc62b220f38e49c
+data8 0x8a811046373e0819, 0xf619e180181d97cc
+data8 0x3fd1db121aed7720, 0x3ca3ede7490b52f4
+data8 0x8ad463df6ea0fa2c, 0xf5cffb504190f9a2
+data8 0x3fd21daf185fa360, 0x3caafad98c1d6c1b
+data8 0x8b294a8cf0488daf, 0xf584f3f54b8604e6
+data8 0x3fd2606046bf95a0, 0x3cdb2d704eeb08fa
+data8 0x8b7fc95f35647757, 0xf538ca65c960b582
+data8 0x3fd2a32601231ec0, 0x3cc661619fa2f126
+data8 0x8bd7e588272276f8, 0xf4eb7d92ff39fccb
+data8 0x3fd2e600a3865760, 0x3c8a2a36a99aca4a
+data8 0x8c31a45bf8e9255e, 0xf49d0c68cd09b689
+data8 0x3fd328f08ad12000, 0x3cb9efaf1d7ab552
+data8 0x8c8d0b520a35eb18, 0xf44d75cd993cfad2
+data8 0x3fd36bf614dcc040, 0x3ccacbb590bef70d
+data8 0x8cea2005d068f23d, 0xf3fcb8a23ab4942b
+data8 0x3fd3af11a079a6c0, 0x3cd9775872cf037d
+data8 0x8d48e837c8cd5027, 0xf3aad3c1e2273908
+data8 0x3fd3f2438d754b40, 0x3ca03304f667109a
+data8 0x8da969ce732f3ac7, 0xf357c60202e2fd7e
+data8 0x3fd4358c3ca032e0, 0x3caecf2504ff1a9d
+data8 0x8e0baad75555e361, 0xf3038e323ae9463a
+data8 0x3fd478ec0fd419c0, 0x3cc64bdc3d703971
+data8 0x8e6fb18807ba877e, 0xf2ae2b1c3a6057f7
+data8 0x3fd4bc6369fa40e0, 0x3cbb7122ec245cf2
+data8 0x8ed5843f4bda74d5, 0xf2579b83aa556f0c
+data8 0x3fd4fff2af11e2c0, 0x3c9cfa2dc792d394
+data8 0x8f3d29862c861fef, 0xf1ffde2612ca1909
+data8 0x3fd5439a4436d000, 0x3cc38d46d310526b
+data8 0x8fa6a81128940b2d, 0xf1a6f1bac0075669
+data8 0x3fd5875a8fa83520, 0x3cd8bf59b8153f8a
+data8 0x901206c1686317a6, 0xf14cd4f2a730d480
+data8 0x3fd5cb33f8cf8ac0, 0x3c9502b5c4d0e431
+data8 0x907f4ca5fe9cf739, 0xf0f186784a125726
+data8 0x3fd60f26e847b120, 0x3cc8a1a5e0acaa33
+data8 0x90ee80fd34aeda5e, 0xf09504ef9a212f18
+data8 0x3fd65333c7e43aa0, 0x3cae5b029cb1f26e
+data8 0x915fab35e37421c6, 0xf0374ef5daab5c45
+data8 0x3fd6975b02b8e360, 0x3cd5aa1c280c45e6
+data8 0x91d2d2f0d894d73c, 0xefd86321822dbb51
+data8 0x3fd6db9d05213b20, 0x3cbecf2c093ccd8b
+data8 0x9248000249200009, 0xef7840021aca5a72
+data8 0x3fd71ffa3cc87fc0, 0x3cb8d273f08d00d9
+data8 0x92bf3a7351f081d2, 0xef16e42021d7cbd5
+data8 0x3fd7647318b1ad20, 0x3cbce099d79cdc46
+data8 0x93388a8386725713, 0xeeb44dfce6820283
+data8 0x3fd7a908093fc1e0, 0x3ccb033ec17a30d9
+data8 0x93b3f8aa8e653812, 0xee507c126774fa45
+data8 0x3fd7edb9803e3c20, 0x3cc10aedb48671eb
+data8 0x94318d99d341ade4, 0xedeb6cd32f891afb
+data8 0x3fd83287f0e9cf80, 0x3c994c0c1505cd2a
+data8 0x94b1523e3dedc630, 0xed851eaa3168f43c
+data8 0x3fd87773cff956e0, 0x3cda3b7bce6a6b16
+data8 0x95334fc20577563f, 0xed1d8ffaa2279669
+data8 0x3fd8bc7d93a70440, 0x3cd4922edc792ce2
+data8 0x95b78f8e8f92f274, 0xecb4bf1fd2be72da
+data8 0x3fd901a5b3b9cf40, 0x3cd3fea1b00f9d0d
+data8 0x963e1b4e63a87c3f, 0xec4aaa6d08694cc1
+data8 0x3fd946eca98f2700, 0x3cdba4032d968ff1
+data8 0x96c6fcef314074fc, 0xebdf502d53d65fea
+data8 0x3fd98c52f024e800, 0x3cbe7be1ab8c95c9
+data8 0x97523ea3eab028b2, 0xeb72aea36720793e
+data8 0x3fd9d1d904239860, 0x3cd72d08a6a22b70
+data8 0x97dfeae6f4ee4a9a, 0xeb04c4096a884e94
+data8 0x3fda177f63e8ef00, 0x3cd818c3c1ebfac7
+data8 0x98700c7c6d85d119, 0xea958e90cfe1efd7
+data8 0x3fda5d468f92a540, 0x3cdf45fbfaa080fe
+data8 0x9902ae7487a9caa1, 0xea250c6224aab21a
+data8 0x3fdaa32f090998e0, 0x3cd715a9353cede4
+data8 0x9997dc2e017a9550, 0xe9b33b9ce2bb7638
+data8 0x3fdae939540d3f00, 0x3cc545c014943439
+data8 0x9a2fa158b29b649b, 0xe9401a573f8aa706
+data8 0x3fdb2f65f63f6c60, 0x3cd4a63c2f2ca8e2
+data8 0x9aca09f835466186, 0xe8cba69df9f0bf35
+data8 0x3fdb75b5773075e0, 0x3cda310ce1b217ec
+data8 0x9b672266ab1e0136, 0xe855de74266193d4
+data8 0x3fdbbc28606babc0, 0x3cdc84b75cca6c44
+data8 0x9c06f7579f0b7bd5, 0xe7debfd2f98c060b
+data8 0x3fdc02bf3d843420, 0x3cd225d967ffb922
+data8 0x9ca995db058cabdc, 0xe76648a991511c6e
+data8 0x3fdc497a9c224780, 0x3cde08101c5b825b
+data8 0x9d4f0b605ce71e88, 0xe6ec76dcbc02d9a7
+data8 0x3fdc905b0c10d420, 0x3cb1abbaa3edf120
+data8 0x9df765b9eecad5e6, 0xe6714846bdda7318
+data8 0x3fdcd7611f4b8a00, 0x3cbf6217ae80aadf
+data8 0x9ea2b320350540fe, 0xe5f4bab71494cd6b
+data8 0x3fdd1e8d6a0d56c0, 0x3cb726e048cc235c
+data8 0x9f51023562fc5676, 0xe576cbf239235ecb
+data8 0x3fdd65e082df5260, 0x3cd9e66872bd5250
+data8 0xa002620915c2a2f6, 0xe4f779b15f5ec5a7
+data8 0x3fddad5b02a82420, 0x3c89743b0b57534b
+data8 0xa0b6e21c2caf9992, 0xe476c1a233a7873e
+data8 0x3fddf4fd84bbe160, 0x3cbf7adea9ee3338
+data8 0xa16e9264cc83a6b2, 0xe3f4a16696608191
+data8 0x3fde3cc8a6ec6ee0, 0x3cce46f5a51f49c6
+data8 0xa22983528f3d8d49, 0xe3711694552da8a8
+data8 0x3fde84bd099a6600, 0x3cdc78f6490a2d31
+data8 0xa2e7c5d2e2e69460, 0xe2ec1eb4e1e0a5fb
+data8 0x3fdeccdb4fc685c0, 0x3cdd3aedb56a4825
+data8 0xa3a96b5599bd2532, 0xe265b74506fbe1c9
+data8 0x3fdf15241f23b3e0, 0x3cd440f3c6d65f65
+data8 0xa46e85d1ae49d7de, 0xe1ddddb499b3606f
+data8 0x3fdf5d98202994a0, 0x3cd6c44bd3fb745a
+data8 0xa53727ca3e11b99e, 0xe1548f662951b00d
+data8 0x3fdfa637fe27bf60, 0x3ca8ad1cd33054dd
+data8 0xa6036453bdc20186, 0xe0c9c9aeabe5e481
+data8 0x3fdfef0467599580, 0x3cc0f1ac0685d78a
+data8 0xa6d34f1969dda338, 0xe03d89d5281e4f81
+data8 0x3fe01bff067d6220, 0x3cc0731e8a9ef057
+data8 0xa7a6fc62f7246ff3, 0xdfafcd125c323f54
+data8 0x3fe04092d1ae3b40, 0x3ccabda24b59906d
+data8 0xa87e811a861df9b9, 0xdf20909061bb9760
+data8 0x3fe0653df0fd9fc0, 0x3ce94c8dcc722278
+data8 0xa959f2d2dd687200, 0xde8fd16a4e5f88bd
+data8 0x3fe08a00c1cae320, 0x3ce6b888bb60a274
+data8 0xaa3967cdeea58bda, 0xddfd8cabd1240d22
+data8 0x3fe0aedba3221c00, 0x3ced5941cd486e46
+data8 0xab904fd587263c84, 0xdd1f4472e1cf64ed
+data8 0x3fe0e651e85229c0, 0x3cdb6701042299b1
+data8 0xad686d44dd5a74bb, 0xdbf173e1f6b46e92
+data8 0x3fe1309cbf4cdb20, 0x3cbf1be7bb3f0ec5
+data8 0xaf524e15640ebee4, 0xdabd54896f1029f6
+data8 0x3fe17b4ee1641300, 0x3ce81dd055b792f1
+data8 0xb14eca24ef7db3fa, 0xd982cb9ae2f47e41
+data8 0x3fe1c66b9ffd6660, 0x3cd98ea31eb5ddc7
+data8 0xb35ec807669920ce, 0xd841bd1b8291d0b6
+data8 0x3fe211f66db3a5a0, 0x3ca480c35a27b4a2
+data8 0xb5833e4755e04dd1, 0xd6fa0bd3150b6930
+data8 0x3fe25df2e05b6c40, 0x3ca4bc324287a351
+data8 0xb7bd34c8000b7bd3, 0xd5ab9939a7d23aa1
+data8 0x3fe2aa64b32f7780, 0x3cba67314933077c
+data8 0xba0dc64d126cc135, 0xd4564563ce924481
+data8 0x3fe2f74fc9289ac0, 0x3cec1a1dc0efc5ec
+data8 0xbc76222cbbfa74a6, 0xd2f9eeed501125a8
+data8 0x3fe344b82f859ac0, 0x3ceeef218de413ac
+data8 0xbef78e31985291a9, 0xd19672e2182f78be
+data8 0x3fe392a22087b7e0, 0x3cd2619ba201204c
+data8 0xc19368b2b0629572, 0xd02baca5427e436a
+data8 0x3fe3e11206694520, 0x3cb5d0b3143fe689
+data8 0xc44b2ae8c6733e51, 0xceb975d60b6eae5d
+data8 0x3fe4300c7e945020, 0x3cbd367143da6582
+data8 0xc7206b894212dfef, 0xcd3fa6326ff0ac9a
+data8 0x3fe47f965d201d60, 0x3ce797c7a4ec1d63
+data8 0xca14e1b0622de526, 0xcbbe13773c3c5338
+data8 0x3fe4cfb4b09d1a20, 0x3cedfadb5347143c
+data8 0xcd2a6825eae65f82, 0xca34913d425a5ae9
+data8 0x3fe5206cc637e000, 0x3ce2798b38e54193
+data8 0xd06301095e1351ee, 0xc8a2f0d3679c08c0
+data8 0x3fe571c42e3d0be0, 0x3ccd7cb9c6c2ca68
+data8 0xd3c0d9f50057adda, 0xc70901152d59d16b
+data8 0x3fe5c3c0c108f940, 0x3ceb6c13563180ab
+data8 0xd74650a98cc14789, 0xc5668e3d4cbf8828
+data8 0x3fe61668a46ffa80, 0x3caa9092e9e3c0e5
+data8 0xdaf5f8579dcc8f8f, 0xc3bb61b3eed42d02
+data8 0x3fe669c251ad69e0, 0x3cccf896ef3b4fee
+data8 0xded29f9f9a6171b4, 0xc20741d7f8e8e8af
+data8 0x3fe6bdd49bea05c0, 0x3cdc6b29937c575d
+data8 0xe2df5765854ccdb0, 0xc049f1c2d1b8014b
+data8 0x3fe712a6b76c6e80, 0x3ce1ddc6f2922321
+data8 0xe71f7a9b94fcb4c3, 0xbe833105ec291e91
+data8 0x3fe76840418978a0, 0x3ccda46e85432c3d
+data8 0xeb96b72d3374b91e, 0xbcb2bb61493b28b3
+data8 0x3fe7bea9496d5a40, 0x3ce37b42ec6e17d3
+data8 0xf049183c3f53c39b, 0xbad848720223d3a8
+data8 0x3fe815ea59dab0a0, 0x3cb03ad41bfc415b
+data8 0xf53b11ec7f415f15, 0xb8f38b57c53c9c48
+data8 0x3fe86e0c84010760, 0x3cc03bfcfb17fe1f
+data8 0xfa718f05adbf2c33, 0xb70432500286b185
+data8 0x3fe8c7196b9225c0, 0x3ced99fcc6866ba9
+data8 0xfff200c3f5489608, 0xb509e6454dca33cc
+data8 0x3fe9211b54441080, 0x3cb789cb53515688
+// The following table entries are not used
+//data8 0x82e138a0fac48700, 0xb3044a513a8e6132
+//data8 0x3fe97c1d30f5b7c0, 0x3ce1eb765612d1d0
+//data8 0x85f4cc7fc670d021, 0xb0f2fb2ea6cbbc88
+//data8 0x3fe9d82ab4b5fde0, 0x3ced3fe6f27e8039
+//data8 0x89377c1387d5b908, 0xaed58e9a09014d5c
+//data8 0x3fea355065f87fa0, 0x3cbef481d25f5b58
+//data8 0x8cad7a2c98dec333, 0xacab929ce114d451
+//data8 0x3fea939bb451e2a0, 0x3c8e92b4fbf4560f
+//data8 0x905b7dfc99583025, 0xaa748cc0dbbbc0ec
+//data8 0x3feaf31b11270220, 0x3cdced8c61bd7bd5
+//data8 0x9446d8191f80dd42, 0xa82ff92687235baf
+//data8 0x3feb53de0bcffc20, 0x3cbe1722fb47509e
+//data8 0x98758ba086e4000a, 0xa5dd497a9c184f58
+//data8 0x3febb5f571cb0560, 0x3ce0c7774329a613
+//data8 0x9cee6c7bf18e4e24, 0xa37be3c3cd1de51b
+//data8 0x3fec197373bc7be0, 0x3ce08ebdb55c3177
+//data8 0xa1b944000a1b9440, 0xa10b2101b4f27e03
+//data8 0x3fec7e6bd023da60, 0x3ce5fc5fd4995959
+//data8 0xa6defd8ba04d3e38, 0x9e8a4b93cad088ec
+//data8 0x3fece4f404e29b20, 0x3cea3413401132b5
+//data8 0xac69dd408a10c62d, 0x9bf89d5d17ddae8c
+//data8 0x3fed4d2388f63600, 0x3cd5a7fb0d1d4276
+//data8 0xb265c39cbd80f97a, 0x99553d969fec7beb
+//data8 0x3fedb714101e0a00, 0x3cdbda21f01193f2
+//data8 0xb8e081a16ae4ae73, 0x969f3e3ed2a0516c
+//data8 0x3fee22e1da97bb00, 0x3ce7231177f85f71
+//data8 0xbfea427678945732, 0x93d5990f9ee787af
+//data8 0x3fee90ac13b18220, 0x3ce3c8a5453363a5
+//data8 0xc79611399b8c90c5, 0x90f72bde80febc31
+//data8 0x3fef009542b712e0, 0x3ce218fd79e8cb56
+//data8 0xcffa8425040624d7, 0x8e02b4418574ebed
+//data8 0x3fef72c3d2c57520, 0x3cd32a717f82203f
+//data8 0xd93299cddcf9cf23, 0x8af6ca48e9c44024
+//data8 0x3fefe762b77744c0, 0x3ce53478a6bbcf94
+//data8 0xe35eda760af69ad9, 0x87d1da0d7f45678b
+//data8 0x3ff02f511b223c00, 0x3ced6e11782c28fc
+//data8 0xeea6d733421da0a6, 0x84921bbe64ae029a
+//data8 0x3ff06c5c6f8ce9c0, 0x3ce71fc71c1ffc02
+//data8 0xfb3b2c73fc6195cc, 0x813589ba3a5651b6
+//data8 0x3ff0aaf2613700a0, 0x3cf2a72d2fd94ef3
+//data8 0x84ac1fcec4203245, 0xfb73a828893df19e
+//data8 0x3ff0eb367c3fd600, 0x3cf8054c158610de
+//data8 0x8ca50621110c60e6, 0xf438a14c158d867c
+//data8 0x3ff12d51caa6b580, 0x3ce6bce9748739b6
+//data8 0x95b8c2062d6f8161, 0xecb3ccdd37b369da
+//data8 0x3ff1717418520340, 0x3ca5c2732533177c
+//data8 0xa0262917caab4ad1, 0xe4dde4ddc81fd119
+//data8 0x3ff1b7d59dd40ba0, 0x3cc4c7c98e870ff5
+//data8 0xac402c688b72f3f4, 0xdcae469be46d4c8d
+//data8 0x3ff200b93cc5a540, 0x3c8dd6dc1bfe865a
+//data8 0xba76968b9eabd9ab, 0xd41a8f3df1115f7f
+//data8 0x3ff24c6f8f6affa0, 0x3cf1acb6d2a7eff7
+//data8 0xcb63c87c23a71dc5, 0xcb161074c17f54ec
+//data8 0x3ff29b5b338b7c80, 0x3ce9b5845f6ec746
+//data8 0xdfe323b8653af367, 0xc19107d99ab27e42
+//data8 0x3ff2edf6fac7f5a0, 0x3cf77f961925fa02
+//data8 0xf93746caaba3e1f1, 0xb777744a9df03bff
+//data8 0x3ff344df237486c0, 0x3cf6ddf5f6ddda43
+//data8 0x8ca77052f6c340f0, 0xacaf476f13806648
+//data8 0x3ff3a0dfa4bb4ae0, 0x3cfee01bbd761bff
+//data8 0xa1a48604a81d5c62, 0xa11575d30c0aae50
+//data8 0x3ff4030b73c55360, 0x3cf1cf0e0324d37c
+//data8 0xbe45074b05579024, 0x9478e362a07dd287
+//data8 0x3ff46ce4c738c4e0, 0x3ce3179555367d12
+//data8 0xe7a08b5693d214ec, 0x8690e3575b8a7c3b
+//data8 0x3ff4e0a887c40a80, 0x3cfbd5d46bfefe69
+//data8 0x94503d69396d91c7, 0xedd2ce885ff04028
+//data8 0x3ff561ebd9c18cc0, 0x3cf331bd176b233b
+//data8 0xced1d96c5bb209e6, 0xc965278083808702
+//data8 0x3ff5f71d7ff42c80, 0x3ce3301cc0b5a48c
+//data8 0xabac2cee0fc24e20, 0x9c4eb1136094cbbd
+//data8 0x3ff6ae4c63222720, 0x3cf5ff46874ee51e
+//data8 0x8040201008040201, 0xb4d7ac4d9acb1bf4
+//data8 0x3ff7b7d33b928c40, 0x3cfacdee584023bb
+LOCAL_OBJECT_END(T_table)
+
+
+
+.align 16
+
+LOCAL_OBJECT_START(poly_coeffs)
+       // C_3
+data8 0xaaaaaaaaaaaaaaab, 0x0000000000003ffc
+       // C_5
+data8 0x999999999999999a, 0x0000000000003ffb
+       // C_7, C_9
+data8 0x3fa6db6db6db6db7, 0x3f9f1c71c71c71c8
+       // pi/2 (low, high)
+data8 0x3C91A62633145C07, 0x3FF921FB54442D18
+       // C_11, C_13
+data8 0x3f96e8ba2e8ba2e9, 0x3f91c4ec4ec4ec4e
+       // C_15, C_17
+data8 0x3f8c99999999999a, 0x3f87a87878787223
+LOCAL_OBJECT_END(poly_coeffs)
+
+
+R_DBL_S = r21
+R_EXP0 = r22
+R_EXP = r15
+R_SGNMASK = r23
+R_TMP = r24
+R_TMP2 = r25
+R_INDEX = r26
+R_TMP3 = r27
+R_TMP03 = r27
+R_TMP4 = r28
+R_TMP5 = r23
+R_TMP6 = r22
+R_TMP7 = r21
+R_T = r29
+R_BIAS = r20
+
+F_T = f6
+F_1S2 = f7
+F_1S2_S = f9
+F_INV_1T2 = f10
+F_SQRT_1T2 = f11
+F_S2T2 = f12
+F_X = f13
+F_D = f14
+F_2M64 = f15
+
+F_CS2 = f32
+F_CS3 = f33
+F_CS4 = f34
+F_CS5 = f35
+F_CS6 = f36
+F_CS7 = f37
+F_CS8 = f38
+F_CS9 = f39
+F_S23 = f40 
+F_S45 = f41 
+F_S67 = f42 
+F_S89 = f43 
+F_S25 = f44 
+F_S69 = f45 
+F_S29 = f46 
+F_X2 = f47 
+F_X4 = f48 
+F_TSQRT = f49 
+F_DTX = f50 
+F_R = f51 
+F_R2 = f52 
+F_R3 = f53 
+F_R4 = f54 
+
+F_C3 = f55 
+F_C5 = f56 
+F_C7 = f57 
+F_C9 = f58 
+F_P79 = f59 
+F_P35 = f60 
+F_P39 = f61 
+
+F_ATHI = f62 
+F_ATLO = f63 
+
+F_T1 = f64 
+F_Y = f65 
+F_Y2 = f66 
+F_ANDMASK = f67 
+F_ORMASK = f68 
+F_S = f69 
+F_05 = f70 
+F_SQRT_1S2 = f71 
+F_DS = f72 
+F_Z = f73 
+F_1T2 = f74 
+F_DZ = f75 
+F_ZE = f76 
+F_YZ = f77 
+F_Y1S2 = f78 
+F_Y1S2X = f79 
+F_1X = f80 
+F_ST = f81 
+F_1T2_ST = f82 
+F_TSS = f83 
+F_Y1S2X2 = f84 
+F_DZ_TERM = f85 
+F_DTS = f86 
+F_DS2X = f87 
+F_T2 = f88 
+F_ZY1S2S = f89 
+F_Y1S2_1X = f90 
+F_TS = f91
+F_PI2_LO = f92 
+F_PI2_HI = f93 
+F_S19 = f94 
+F_INV1T2_2 = f95 
+F_CORR = f96 
+F_DZ0 = f97 
+
+F_C11 = f98 
+F_C13 = f99 
+F_C15 = f100
+F_C17 = f101
+F_P1113 = f102
+F_P1517 = f103
+F_P1117 = f104
+F_P317 = f105
+F_R8 = f106
+F_HI = f107
+F_1S2_HI = f108
+F_DS2 = f109
+F_Y2_2 = f110
+F_S2 = f111
+F_S_DS2 = f112
+F_S_1S2S = f113
+F_XL = f114
+F_2M128 = f115
+
 
 .section .text
-.proc  asinl#
-.align 32
+GLOBAL_LIBM_ENTRY(asinl)
+
+{.mfi
+       // get exponent, mantissa (rounded to double precision) of s
+       getf.d R_DBL_S = f8
+       // 1-s^2
+       fnma.s1 F_1S2 = f8, f8, f1
+       // r2 = pointer to T_table
+       addl r2 = @ltoff(T_table), gp
+}
 
+{.mfi
+       // sign mask
+       mov R_SGNMASK = 0x20000
+       nop.f 0
+       // bias-63-1
+       mov R_TMP03 = 0xffff-64;;
+}
 
-asinl: 
 
-{ .mfi
-      alloc r32 = ar.pfs,1,11,4,0                        
-(p0)  fnorm      asin_NORM_f8 = f8                       
-(p0)  mov        asin_GR_17_ones = 0x1ffff               
+{.mfi
+       // get exponent of s
+       getf.exp R_EXP = f8
+       nop.f 0
+       // R_TMP4 = 2^45
+       shl R_TMP4 = R_SGNMASK, 45-17
 }
 
-{ .mii
-(p0)  mov        asin_GR_16_ones = 0xffff                
-(p0)  mov        asin_GR_ff9b = 0xff9b ;;                   
-      nop.i 999
+{.mlx
+       // load bias-4
+       mov R_TMP = 0xffff-4
+       // load RU(sqrt(2)/2) to integer register (in double format, shifted left by 1)
+       movl R_TMP2 = 0x7fcd413cccfe779a;;
 }
 
 
-{ .mmi
-(p0)  setf.exp  asin_2m100 = asin_GR_ff9b                                      
-(p0)  addl           r40   = @ltoff(asin_coefficients), gp
-      nop.i 999
+{.mfi
+       // load 2^{-64} in FP register
+       setf.exp F_2M64 = R_TMP03
+       nop.f 0
+       // index = (0x7-exponent)|b1 b2.. b6
+       extr.u R_INDEX = R_DBL_S, 46, 9
 }
-;;
 
-{ .mmi
-      ld8 r40 = [r40]
-      nop.m 999
-      nop.i 999
+{.mfi
+       // get t = sign|exponent|b1 b2.. b6 1 x.. x
+       or R_T = R_DBL_S, R_TMP4
+       nop.f 0
+       // R_TMP4 = 2^45-1
+       sub R_TMP4 = R_TMP4, r0, 1;;
 }
-;;
 
 
+{.mfi
+       // get t = sign|exponent|b1 b2.. b6 1 0.. 0
+       andcm R_T = R_T, R_TMP4
+       nop.f 0
+       // eliminate sign from R_DBL_S (shift left by 1)
+       shl R_TMP3 = R_DBL_S, 1
+}
 
-// Load the constants
+{.mfi
+       // R_BIAS = 3*2^6
+       mov R_BIAS = 0xc0
+       nop.f 0
+       // eliminate sign from R_EXP
+       andcm R_EXP0 = R_EXP, R_SGNMASK;;
+}
 
-{ .mmi
-(p0) ldfe       asin_A10 = [r40],16 ;;      
-(p0) ldfe       asin_A9  = [r40],16      
-      nop.i 999 ;;
+
+
+{.mfi
+       // load start address for T_table
+       ld8 r2 = [r2]
+       nop.f 0
+       // p8 = 1 if |s|> = sqrt(2)/2
+       cmp.geu p8, p0 = R_TMP3, R_TMP2
 }
 
-{ .mmi
-(p0) ldfe       asin_A8  = [r40],16 ;;      
-(p0) ldfe       asin_A7  = [r40],16      
-      nop.i 999 ;;
+{.mlx
+       // p7 = 1 if |s|<2^{-4} (exponent of s<bias-4)
+       cmp.lt p7, p0 = R_EXP0, R_TMP
+       // sqrt coefficient cs8 = -33*13/128
+       movl R_TMP2 = 0xc0568000;;
 }
 
-{ .mmi
-(p0) ldfe       asin_A6  = [r40],16 ;;      
-(p0)  getf.exp   asin_GR_signexp_f8  = asin_NORM_f8                            
-      nop.i 999
+
+
+{.mbb
+       // load t in FP register
+       setf.d F_T = R_T
+       // if |s|<2^{-4}, take alternate path
+ (p7) br.cond.spnt SMALL_S
+       // if |s|> = sqrt(2)/2, take alternate path
+ (p8) br.cond.sptk LARGE_S
 }
 
-{ .mmi
-(p0) ldfe       asin_A5  = [r40],16 ;;      
-(p0) ldfe       asin_A4  = [r40],16      
-      nop.i 999 ;;
+{.mlx
+       // index = (4-exponent)|b1 b2.. b6
+       sub R_INDEX = R_INDEX, R_BIAS
+       // sqrt coefficient cs9 = 55*13/128
+       movl R_TMP = 0x40b2c000;;
 }
 
-{ .mfi
-      nop.m 999
-(p0) fmerge.s   asin_ABS_NORM_f8 = f0, asin_NORM_f8            
-(p0)  and        asin_GR_exp         = asin_GR_signexp_f8, asin_GR_17_ones ;;     
+
+{.mfi
+       // sqrt coefficient cs8 = -33*13/128
+       setf.s F_CS8 = R_TMP2
+       nop.f 0
+       // shift R_INDEX by 5
+       shl R_INDEX = R_INDEX, 5
+}
+
+{.mfi
+       // sqrt coefficient cs3 = 0.5 (set exponent = bias-1)
+       mov R_TMP4 = 0xffff - 1
+       nop.f 0
+       // sqrt coefficient cs6 = -21/16
+       mov R_TMP6 = 0xbfa8;;
 }
 
-// case 1: |x| < 2^-40         ==> p6 (includes x = +-0)
-// case 2: 2^-40 <= |x| < 2^-2 ==> p8
-// case 3: 2^-2  <= |x| < 1    ==> p9
-// case 4: 1  <= |x|           ==> p11
-//   In case 4, we pick up the special case x = +-1 and return +-pi/2
 
-{ .mii
-(p0) ldfe       asin_A3  = [r40],16      
-(p0)  sub        asin_GR_true_exp    = asin_GR_exp, asin_GR_16_ones ;;            
-(p0)  cmp.ge.unc p6, p7    = -41, asin_GR_true_exp ;;             
+{.mlx
+       // table index
+       add r2 = r2, R_INDEX
+       // sqrt coefficient cs7 = 33/16
+       movl R_TMP2 = 0x40040000;;
 }
 
-{ .mii
-(p0) ldfe       asin_A2  = [r40],16      
-(p7)  cmp.ge.unc p8, p9    = -3,  asin_GR_true_exp ;;             
-(p9)  cmp.ge.unc p10, p11  = -1,  asin_GR_true_exp              
+
+{.mmi
+       // load cs9 = 55*13/128
+       setf.s F_CS9 = R_TMP
+       // sqrt coefficient cs5 = 7/8
+       mov R_TMP3 = 0x3f60
+       // sqrt coefficient cs6 = 21/16
+       shl R_TMP6 = R_TMP6, 16;;
 }
 
-{ .mmi
-(p0) ldfe       asin_A1  = [r40],16 ;;      
-(p0) ldfe       asin_pi_by_2  = [r40],16 
-      nop.i 999
+
+{.mmi
+       // load significand of 1/(1-t^2)
+       ldf8 F_INV_1T2 = [r2], 8
+       // sqrt coefficient cs7 = 33/16
+       setf.s F_CS7 = R_TMP2
+       // sqrt coefficient cs4 = -5/8
+       mov R_TMP5 = 0xbf20;;
 }
 
-// case 4: |x| >= 1
-{ .mib
-      nop.m 999
-      nop.i 999
-(p11) br.spnt         L(ASIN_ERROR_RETURN) ;;                         
+
+{.mmi
+       // load significand of sqrt(1-t^2)
+       ldf8 F_SQRT_1T2 = [r2], 8
+       // sqrt coefficient cs6 = 21/16
+       setf.s F_CS6 = R_TMP6
+       // sqrt coefficient cs5 = 7/8
+       shl R_TMP3 = R_TMP3, 16;;
 }
 
-// case 1: |x| < 2^-40
-{ .mfb
-      nop.m 999
-(p6)  fma.s0         f8 = asin_2m100,f8,f8                       
-(p6)  br.ret.spnt   b0 ;;                                          
+
+{.mmi
+       // sqrt coefficient cs3 = 0.5 (set exponent = bias-1)
+       setf.exp F_CS3 = R_TMP4
+       // r3 = pointer to polynomial coefficients
+       addl r3 = @ltoff(poly_coeffs), gp
+       // sqrt coefficient cs4 = -5/8
+       shl R_TMP5 = R_TMP5, 16;;
 }
 
 
-// case 2: 2^-40 <= |x| < 2^-2 ==> p8
-{ .mfi
-      nop.m 999
-(p8)  fma.s1        asin_X2   = f8,f8, f0                       
-      nop.i 999 ;;
+{.mfi
+       // sqrt coefficient cs5 = 7/8
+       setf.s F_CS5 = R_TMP3
+       // d = s-t
+       fms.s1 F_D = f8, f1, F_T
+       // set p6 = 1 if s<0, p11 = 1 if s> = 0
+       cmp.ge p6, p11 = R_EXP, R_DBL_S
 }
 
-{ .mfi
-      nop.m 999
-(p8)  fma.s1        asin_X4   = asin_X2,asin_X2, f0             
-      nop.i 999 ;;
+{.mfi
+       // r3 = load start address to polynomial coefficients
+       ld8 r3 = [r3]
+       // s+t
+       fma.s1 F_S2T2 = f8, f1, F_T
+       nop.i 0;;
 }
 
-{ .mfi
-      nop.m 999
-(p8)  fma.s1        asin_P810 = asin_X4, asin_A10, asin_A8      
-      nop.i 999
+
+{.mfi
+       // sqrt coefficient cs4 = -5/8
+       setf.s F_CS4 = R_TMP5
+       // s^2-t^2
+       fma.s1 F_S2T2 = F_S2T2, F_D, f0
+       nop.i 0;;
 }
 
-{ .mfi
-      nop.m 999
-(p8)  fma.s1        asin_P79  = asin_X4, asin_A9, asin_A7       
-      nop.i 999 ;;
+
+{.mfi
+       // load C3
+       ldfe F_C3 = [r3], 16
+       // 0.5/(1-t^2) = 2^{-64}*(2^63/(1-t^2))
+       fma.s1 F_INV_1T2 = F_INV_1T2, F_2M64, f0
+       nop.i 0;;
 }
 
-{ .mfi
-      nop.m 999
-(p8)  fma.s1        asin_P610 = asin_X4, asin_P810, asin_A6     
-      nop.i 999
+{.mfi
+       // load C_5
+       ldfe F_C5 = [r3], 16
+       // set correct exponent for sqrt(1-t^2)
+       fma.s1 F_SQRT_1T2 = F_SQRT_1T2, F_2M64, f0
+       nop.i 0;;
 }
 
-{ .mfi
-      nop.m 999
-(p8)  fma.s1        asin_P59  = asin_X4, asin_P79, asin_A5      
-      nop.i 999 ;;
+
+{.mfi
+       // load C_7, C_9
+       ldfpd F_C7, F_C9 = [r3]
+       // x = -(s^2-t^2)/(1-t^2)/2
+       fnma.s1 F_X = F_INV_1T2, F_S2T2, f0
+       nop.i 0;;
 }
 
-{ .mfi
-      nop.m 999
-(p8)  fma.s1        asin_P410 = asin_X4, asin_P610, asin_A4     
-      nop.i 999
+
+{.mfi
+       // load asin(t)_high, asin(t)_low
+       ldfpd F_ATHI, F_ATLO = [r2]
+       // t*sqrt(1-t^2)
+       fma.s1 F_TSQRT = F_T, F_SQRT_1T2, f0
+       nop.i 0;;
 }
 
-{ .mfi
-      nop.m 999
-(p8)  fma.s1        asin_P39  = asin_X4, asin_P59, asin_A3      
-      nop.i 999 ;;
+
+{.mfi
+       nop.m 0
+       // cs9*x+cs8
+       fma.s1 F_S89 = F_CS9, F_X, F_CS8
+       nop.i 0
 }
 
-{ .mfi
-      nop.m 999
-(p8)  fma.s1        asin_P210 = asin_X4, asin_P410, asin_A2     
-      nop.i 999
+{.mfi
+       nop.m 0
+       // cs7*x+cs6
+       fma.s1 F_S67 = F_CS7, F_X, F_CS6
+       nop.i 0;;
 }
 
-{ .mfi
-      nop.m 999
-(p8)  fma.s1        asin_P19  = asin_X4, asin_P39, asin_A1      
-      nop.i 999 ;;
+{.mfi
+       nop.m 0
+       // cs5*x+cs4
+       fma.s1 F_S45 = F_CS5, F_X, F_CS4
+       nop.i 0
 }
 
-{ .mfi
-      nop.m 999
-(p8)  fma.s1        asin_P1P2    = asin_X2, asin_P210, asin_P19 
-      nop.i 999 ;;
+{.mfi
+       nop.m 0
+       // x*x
+       fma.s1 F_X2 = F_X, F_X, f0
+       nop.i 0;;
 }
 
-{ .mfi
-      nop.m 999
-(p8)  fma.s1        asin_P1P2    = asin_X2, asin_P1P2, f0       
-      nop.i 999 ;;
+
+{.mfi
+       nop.m 0
+       // (s-t)-t*x
+       fnma.s1 F_DTX = F_T, F_X, F_D
+       nop.i 0
 }
 
-{ .mfb
-      nop.m 999
-(p8)  fma.s0        f8 = asin_NORM_f8, asin_P1P2, asin_NORM_f8  
-(p8)  br.ret.spnt   b0 ;;                                          
+{.mfi
+       nop.m 0
+       // cs3*x+cs2 (cs2 = -0.5 = -cs3)
+       fms.s1 F_S23 = F_CS3, F_X, F_CS3
+       nop.i 0;;
 }
 
-// case 3: 2^-2  <= |x| < 1    
-// 1- X*X is computed as B + b
-// Step 1.1:     Get B and b
 
-// atan2 will return
-//   f8  = Z_hi
-//   f10 = Z_lo
-//   f11 = s_lo
+{.mfi
+       nop.m 0
+       // cs9*x^3+cs8*x^2+cs7*x+cs6
+       fma.s1 F_S69 = F_S89, F_X2, F_S67
+       nop.i 0
+}
 
+{.mfi
+       nop.m 0
+       // x^4
+       fma.s1 F_X4 = F_X2, F_X2, f0
+       nop.i 0;;
+}
 
-{ .mfi
-(p0)  mov            asin_GR_fffe = 0xfffe                      
-(p0)   fmerge.se f8 = asin_ABS_NORM_f8, asin_ABS_NORM_f8                                   
-nop.i 0
-};;
 
-{ .mmf
-nop.m 0
-(p0)   setf.exp       asin_HALF = asin_GR_fffe                   
-(p0)   fmerge.se f12 = asin_NORM_f8, asin_NORM_f8 ;;                         
+{.mfi
+       nop.m 0
+       // t*sqrt(1-t^2)*x^2
+       fma.s1 F_TSQRT = F_TSQRT, F_X2, f0
+       nop.i 0
 }
 
+{.mfi
+       nop.m 0
+       // cs5*x^3+cs4*x^2+cs3*x+cs2
+       fma.s1 F_S25 = F_S45, F_X2, F_S23
+       nop.i 0;;
+}
 
-{ .mfi
-      nop.m 999
-(p0)  fcmp.lt.unc.s1 p6,p7 = asin_ABS_NORM_f8, asin_HALF        
-      nop.i 999 ;;
+
+{.mfi
+       nop.m 0
+       // ((s-t)-t*x)*sqrt(1-t^2)
+       fma.s1 F_DTX = F_DTX, F_SQRT_1T2, f0
+       nop.i 0;;
 }
 
-{ .mfi
-      nop.m 999
-(p7)  fma.s1         asin_D   = f1,f1,asin_ABS_NORM_f8          
-      nop.i 999
+
+{.mfi
+       nop.m 0
+       // if sign is negative, negate table values: asin(t)_low
+ (p6) fnma.s1 F_ATLO = F_ATLO, f1, f0
+       nop.i 0
 }
 
-{ .mfi
-      nop.m 999
-(p7)  fms.s1         asin_C   = f1,f1,asin_ABS_NORM_f8          
-      nop.i 999 ;;
+{.mfi
+       nop.m 0
+       // PS29 = cs9*x^7+..+cs5*x^3+cs4*x^2+cs3*x+cs2
+       fma.s1 F_S29 = F_S69, F_X4, F_S25
+       nop.i 0;;
 }
 
-{ .mfi
-      nop.m 999
-(p7)  fma.s1         asin_B   = asin_C, asin_D, f0              
-      nop.i 999
+
+{.mfi
+       nop.m 0
+       // if sign is negative, negate table values: asin(t)_high
+ (p6) fnma.s1 F_ATHI = F_ATHI, f1, f0
+       nop.i 0
 }
 
-{ .mfi
-      nop.m 999
-(p7)  fms.s1         asin_1mD = f1,f1,asin_D                    
-      nop.i 999 ;;
+{.mfi
+       nop.m 0
+       // R = ((s-t)-t*x)*sqrt(1-t^2)-t*sqrt(1-t^2)*x^2*PS29
+       fnma.s1 F_R = F_S29, F_TSQRT, F_DTX
+       nop.i 0;;
 }
 
-{ .mfi
-      nop.m 999
-(p7)  fma.s1         asin_Dd  = asin_1mD,f1, asin_ABS_NORM_f8   
-      nop.i 999
+
+{.mfi
+       nop.m 0
+       // R^2
+       fma.s1 F_R2 = F_R, F_R, f0
+       nop.i 0;;
 }
 
-{ .mfi
-      nop.m 999
-(p7)  fms.s1         asin_Bb  = asin_C, asin_D, asin_B          
-      nop.i 999 ;;
+
+{.mfi
+       nop.m 0
+       // c7+c9*R^2
+       fma.s1 F_P79 = F_C9, F_R2, F_C7
+       nop.i 0
 }
 
-{ .mfi
-      nop.m 999
-(p7)  fma.s1         asin_Bb  = asin_C, asin_Dd, asin_Bb        
-      nop.i 999
+{.mfi
+       nop.m 0
+       // c3+c5*R^2
+       fma.s1 F_P35 = F_C5, F_R2, F_C3
+       nop.i 0;;
 }
 
-{ .mfi
-      nop.m 999
-(p6)  fma.s1         asin_C   = asin_ABS_NORM_f8, asin_ABS_NORM_f8, f0     
-      nop.i 999 ;;
+{.mfi
+       nop.m 0
+       // R^3
+       fma.s1 F_R4 = F_R2, F_R2, f0
+       nop.i 0;;
 }
 
-{ .mfi
-      nop.m 999
-(p6)  fms.s1         asin_B   = f1, f1, asin_C                             
-      nop.i 999
+{.mfi
+       nop.m 0
+       // R^3
+       fma.s1 F_R3 = F_R2, F_R, f0
+       nop.i 0;;
 }
 
-{ .mfi
-      nop.m 999
-(p6)  fms.s1         asin_Cc  = asin_ABS_NORM_f8, asin_ABS_NORM_f8, asin_C 
-      nop.i 999 ;;
+
+
+{.mfi
+       nop.m 0
+       // c3+c5*R^2+c7*R^4+c9*R^6
+       fma.s1 F_P39 = F_P79, F_R4, F_P35
+       nop.i 0;;
 }
 
-{ .mfi
-      nop.m 999
-(p0)  fma.s1         asin_Hh     = asin_HALF, asin_B, f0                   
-      nop.i 999
+
+{.mfi
+       nop.m 0
+       // asin(t)_low+R^3*(c3+c5*R^2+c7*R^4+c9*R^6)
+       fma.s1 F_P39 = F_P39, F_R3, F_ATLO
+       nop.i 0;;
 }
 
-{ .mfi
-      nop.m 999
-(p6)  fms.s1         asin_1mB = f1, f1, asin_B                             
-      nop.i 999 ;;
+
+{.mfi
+       nop.m 0
+       // R+asin(t)_low+R^3*(c3+c5*R^2+c7*R^4+c9*R^6)
+       fma.s1 F_P39 = F_P39, f1, F_R
+       nop.i 0;;
 }
 
-// Step 1.2: 
-// sqrt(B + b) is computed as W + w
-// Get W
 
-{ .mfi
-      nop.m 999
-(p0)  frsqrta.s1     asin_y0,p8  = asin_B                                  
-      nop.i 999 ;;
+{.mfb
+       nop.m 0
+       // result = asin(t)_high+R+asin(t)_low+R^3*(c3+c5*R^2+c7*R^4+c9*R^6)
+       fma.s0 f8 = F_ATHI, f1, F_P39
+       // return
+       br.ret.sptk b0;;
 }
 
-{ .mfi
-      nop.m 999
-(p6)  fms.s1         asin_1mBmC = asin_1mB, f1, asin_C                     
-      nop.i 999 ;;
+
+
+
+LARGE_S:
+
+{.mfi
+       // bias-1
+       mov R_TMP3 = 0xffff - 1
+       // y ~ 1/sqrt(1-s^2)
+       frsqrta.s1 F_Y, p7 = F_1S2
+       // c9 = 55*13*17/128
+       mov R_TMP4 = 0x10af7b
 }
 
-{ .mfi
-      nop.m 999
-(p0)  fma.s1         asin_t1     = asin_y0, asin_y0, f0                    
-      nop.i 999 ;;
+{.mlx
+       // c8 = -33*13*15/128
+       mov R_TMP5 = 0x184923
+       movl R_TMP2 = 0xff00000000000000;;
 }
 
-{ .mfi
-      nop.m 999
-(p6)  fms.s1         asin_Bb  = asin_1mBmC, f1, asin_Cc                    
-      nop.i 999 ;;
+{.mfi
+       // set p6 = 1 if s<0, p11 = 1 if s>0
+       cmp.ge p6, p11 = R_EXP, R_DBL_S
+       // 1-s^2
+       fnma.s1 F_1S2 = f8, f8, f1
+       // set p9 = 1
+       cmp.eq p9, p0 = r0, r0;;
 }
 
-{ .mfi
-      nop.m 999
-(p0)  fnma.s1        asin_t2     = asin_t1, asin_Hh, asin_HALF             
-      nop.i 999 ;;
+
+{.mfi
+       // load 0.5
+       setf.exp F_05 = R_TMP3
+       // (1-s^2) rounded to single precision
+       fnma.s.s1 F_1S2_S = f8, f8, f1
+       // c9 = 55*13*17/128
+       shl R_TMP4 = R_TMP4, 10
 }
 
-{ .mfi
-      nop.m 999
-(p0)  fma.s1         asin_y1     = asin_t2, asin_y0, asin_y0               
-      nop.i 999 ;;
+{.mlx
+       // AND mask for getting t ~ sqrt(1-s^2)
+       setf.sig F_ANDMASK = R_TMP2
+       // OR mask
+       movl R_TMP2 = 0x0100000000000000;;
 }
 
-{ .mfi
-      nop.m 999
-(p0)  fma.s1         asin_t3     = asin_y1, asin_Hh, f0                    
-      nop.i 999 ;;
+
+{.mfi
+       nop.m 0
+       // (s^2)_s
+       fma.s.s1 F_S2 = f8, f8, f0
+       nop.i 0;;
 }
 
-{ .mfi
-      nop.m 999
-(p0)  fnma.s1        asin_t4     = asin_t3, asin_y1, asin_HALF             
-      nop.i 999 ;;
+
+{.mmi
+       // c9 = 55*13*17/128
+       setf.s F_CS9 = R_TMP4
+       // c7 = 33*13/16
+       mov R_TMP4 = 0x41d68
+       // c8 = -33*13*15/128
+       shl R_TMP5 = R_TMP5, 11;;
 }
 
-{ .mfi
-      nop.m 999
-(p0)  fma.s1         asin_y2     = asin_t4, asin_y1, asin_y1               
-      nop.i 999 ;;
+
+{.mfi
+       setf.sig F_ORMASK = R_TMP2
+       // y^2
+       fma.s1 F_Y2 = F_Y, F_Y, f0
+       // c7 = 33*13/16
+       shl R_TMP4 = R_TMP4, 12
 }
 
-{ .mfi
-      nop.m 999
-(p0)  fma.s1         asin_S      = asin_B, asin_y2, f0                     
-      nop.i 999
+{.mfi
+       // c6 = -33*7/16
+       mov R_TMP6 = 0xc1670
+       // y' ~ sqrt(1-s^2)
+       fma.s1 F_T1 = F_Y, F_1S2, f0
+       // c5 = 63/8
+       mov R_TMP7 = 0x40fc;;
 }
 
-{ .mfi
-      nop.m 999
-(p0)  fma.s1         asin_H      = asin_y2, asin_HALF, f0                  
-      nop.i 999 ;;
+
+{.mlx
+       // load c8 = -33*13*15/128
+       setf.s F_CS8 = R_TMP5
+       // c4 = -35/8
+       movl R_TMP5 = 0xc08c0000;;
 }
 
-{ .mfi
-      nop.m 999
-(p0)  fma.s1         asin_t5     = asin_Hh, asin_y2, f0                    
-      nop.i 999 ;;
+{.mfi
+       // r3 = pointer to polynomial coefficients
+       addl r3 = @ltoff(poly_coeffs), gp
+       // 1-(1-s^2)_s
+       fnma.s1 F_DS = F_1S2_S, f1, f1
+       // p9 = 0 if p7 = 1 (p9 = 1 for special cases only)
+ (p7) cmp.ne p9, p0 = r0, r0
 }
 
-{ .mfi
-      nop.m 999
-(p0)  fnma.s1        asin_Dd     = asin_S, asin_S, asin_B                  
-      nop.i 999 ;;
+{.mlx
+       // load c7 = 33*13/16
+       setf.s F_CS7 = R_TMP4
+       // c3 = 5/2
+       movl R_TMP4 = 0x40200000;;
 }
 
-{ .mfi
-      nop.m 999
-(p0)  fma.s1         asin_W      = asin_Dd, asin_H, asin_S                 
-      nop.i 999 ;;
+
+{.mfi
+       nop.m 0
+       // 1-(s^2)_s
+       fnma.s1 F_S_1S2S = F_S2, f1, f1
+       nop.i 0
 }
 
-{ .mfi
-      nop.m 999
-(p0)  fma.s1         asin_2W       = asin_W, f1, asin_W                    
-      nop.i 999
+{.mlx
+       // load c4 = -35/8
+       setf.s F_CS4 = R_TMP5
+       // c2 = -3/2
+       movl R_TMP5 = 0xbfc00000;;
 }
 
-// Step 1.3
-// Get w
-{ .mfi
-      nop.m 999
-(p0)  fnma.s1        asin_BmWW     = asin_W, asin_W, asin_B                
-      nop.i 999 ;;
+
+{.mfi
+       // load c3 = 5/2
+       setf.s F_CS3 = R_TMP4
+       // x = (1-s^2)_s*y^2-1
+       fms.s1 F_X = F_1S2_S, F_Y2, f1
+       // c6 = -33*7/16
+       shl R_TMP6 = R_TMP6, 12
 }
 
-// Step 2
-// asin(x) = atan2(X,sqrt(1-X*X))
-//         = atan2(X, W) -Xw
-// corr = Xw
-// asin(x) = Z_hi + (s_lo*Z_lo - corr)
-// Call atan2(X, W)
-// Save W in f9 
-// Save X in f12 
-// Save w in f13
+{.mfi
+       nop.m 0
+       // y^2/2
+       fma.s1 F_Y2_2 = F_Y2, F_05, f0
+       nop.i 0;;
+}
 
-{ .mfi
-      nop.m 999
-(p0)   fmerge.se f9 = asin_W, asin_W                                      
-      nop.i 999 ;;
+
+{.mfi
+       // load c6 = -33*7/16
+       setf.s F_CS6 = R_TMP6
+       // eliminate lower bits from y'
+       fand F_T = F_T1, F_ANDMASK
+       // c5 = 63/8
+       shl R_TMP7 = R_TMP7, 16
 }
 
-{ .mfi
-      nop.m 999
-(p0)  fma.s1         asin_BmWWpb   = asin_BmWW, f1, asin_Bb                
-      nop.i 999 ;;
+{.mfb
+       // r3 = load start address to polynomial coefficients
+       ld8 r3 = [r3]
+       // 1-(1-s^2)_s-s^2
+       fnma.s1 F_DS = f8, f8, F_DS
+       // p9 = 1 if s is a special input (NaN, or |s|> = 1)
+ (p9) br.cond.spnt ASINL_SPECIAL_CASES;;
 }
 
-{ .mfi
-      nop.m 999
-(p0)  frcpa.s1       asin_1d2W,p9  = f1, asin_2W                           
-      nop.i 999 ;;
+{.mmf
+       // get exponent, significand of y' (in single prec.)
+       getf.s R_TMP = F_T1
+       // load c3 = -3/2
+       setf.s F_CS2 = R_TMP5
+       // y*(1-s^2)
+       fma.s1 F_Y1S2 = F_Y, F_1S2, f0;;
 }
 
-{ .mfi
-      nop.m 999
-(p0)  fma.s1         asin_Ww       = asin_BmWWpb, asin_1d2W, f0            
-      nop.i 999 ;;
+
+{.mfi
+       nop.m 0
+       // x' = (y^2/2)*(1-(s^2)_s)-0.5
+       fms.s1 F_XL = F_Y2_2, F_S_1S2S, F_05
+       nop.i 0
 }
-.endp asinl
-ASM_SIZE_DIRECTIVE(asinl)
 
-.proc __libm_callout
-__libm_callout:
-.prologue
-{ .mfi
-        nop.m 0
-        nop.f 0
-.save   ar.pfs,GR_SAVE_PFS
-        mov  GR_SAVE_PFS=ar.pfs                 // Save ar.pfs
-};;
-{ .mfi
-        mov GR_SAVE_GP=gp                       // Save gp
-        nop.f 0
-.save   b0, GR_SAVE_B0
-        mov GR_SAVE_B0=b0                       // Save b0
+{.mfi
+       nop.m 0
+       // s^2-(s^2)_s
+       fms.s1 F_S_DS2 = f8, f8, F_S2
+       nop.i 0;;
 }
-.body
+
+
+{.mfi
+       nop.m 0
+       // if s<0, set s = -s
+ (p6) fnma.s1 f8 = f8, f1, f0
+       nop.i 0;;
+}
+
+{.mfi
+       // load c5 = 63/8
+       setf.s F_CS5 = R_TMP7
+       // x = (1-s^2)_s*y^2-1+(1-(1-s^2)_s-s^2)*y^2
+       fma.s1 F_X = F_DS, F_Y2, F_X
+       // for t = 2^k*1.b1 b2.., get 7-k|b1.. b6
+       extr.u R_INDEX = R_TMP, 17, 9;;
+}
+
+
+{.mmi
+       // index = (4-exponent)|b1 b2.. b6
+       sub R_INDEX = R_INDEX, R_BIAS
+       nop.m 0
+       // get exponent of y
+       shr.u R_TMP2 = R_TMP, 23;;
+}
+
+{.mmi
+       // load C3
+       ldfe F_C3 = [r3], 16
+       // set p8 = 1 if y'<2^{-4}
+       cmp.gt p8, p0 = 0x7b, R_TMP2
+       // shift R_INDEX by 5
+       shl R_INDEX = R_INDEX, 5;;
+}
+
+
 {.mfb
-        nop.m 0
-(p0)    fmerge.se f13 = asin_Ww, asin_Ww                                   
-(p0)    br.call.sptk.many  b0=__libm_atan2_reg#                  
-};;
-{ .mfi
-        mov   gp = GR_SAVE_GP                  // Restore gp
-(p0)    fma.s1  asin_XWw  = asin_ABS_NORM_f8,f13,f0             
-        mov   b0 = GR_SAVE_B0                  // Restore return address
-};;
-// asin_XWw = Xw = corr
-// asin_low = (s_lo * Z_lo - corr)
-// f8       = Z_hi + (s_lo * Z_lo - corr)
+       // get table index for sqrt(1-t^2)
+       add r2 = r2, R_INDEX
+       // get t = 2^k*1.b1 b2.. b7 1
+       for F_T = F_T, F_ORMASK
+ (p8) br.cond.spnt VERY_LARGE_INPUT;;
+}
 
-{ .mfi
-        nop.m 999
-(p0)    fms.s1  asin_low  = f11, f10, asin_XWw                                
-        mov   ar.pfs = GR_SAVE_PFS             // Restore ar.pfs
-};;
 
-{ .mfi
-      nop.m 999
-(p0)   fma.s0  f8        = f8, f1, asin_low                                
-      nop.i 999 ;;
+
+{.mmf
+       // load C5
+       ldfe F_C5 = [r3], 16
+       // load 1/(1-t^2)
+       ldfp8 F_INV_1T2, F_SQRT_1T2 = [r2], 16
+       // x = ((1-s^2)*y^2-1)/2
+       fma.s1 F_X = F_X, F_05, f0;;
 }
 
-{ .mfb
-      nop.m 999
-(p0)   fmerge.s f8 = f12,f8 
-(p0)  br.ret.sptk   b0 ;;                                                    
+
+
+{.mmf
+       nop.m 0
+       // C7, C9
+       ldfpd F_C7, F_C9 = [r3], 16
+       // set correct exponent for t
+       fmerge.se F_T = F_T1, F_T;;
 }
-.endp __libm_callout
-ASM_SIZE_DIRECTIVE(__libm_callout)
 
-.proc SPECIAL
-SPECIAL:
-L(ASIN_ERROR_RETURN): 
 
-// If X is 1, return (sign of X)pi/2
 
-{ .mfi
-      nop.m 999
-(p0)  fcmp.eq.unc p6,p7 = asin_ABS_NORM_f8,f1   
-      nop.i 999 ;;
+{.mfi
+       // pi/2 (low, high)
+       ldfpd F_PI2_LO, F_PI2_HI = [r3]
+       // c9*x+c8
+       fma.s1 F_S89 = F_X, F_CS9, F_CS8
+       nop.i 0
 }
 
-{ .mfb
-(p6) ldfe          asin_pi_by_2_lo  = [r40] 
-(p6) fmerge.s      asin_pi_by_2 = f8,asin_pi_by_2          
-     nop.b 0;;
+{.mfi
+       nop.m 0
+       // x^2
+       fma.s1 F_X2 = F_X, F_X, f0
+       nop.i 0;;
 }
 
-// If X is a NAN, leave
-// qnan snan inf norm     unorm 0 -+
-// 1    1    0   0        0     0 11
-{ .mfb
-      nop.m 999
-(p6)  fma.s0     f8 = f8,asin_pi_by_2_lo,asin_pi_by_2              
-(p6)  br.ret.spnt   b0                           
+
+{.mfi
+       nop.m 0
+       // y*(1-s^2)*x
+       fma.s1 F_Y1S2X = F_Y1S2, F_X, f0
+       nop.i 0
 }
-{ .mfi
-      nop.m 999
-(p0)  fclass.m.unc p12,p0 = f8, 0xc3            
-      nop.i 999 ;;
+
+{.mfi
+       nop.m 0
+       // c7*x+c6
+       fma.s1 F_S67 = F_X, F_CS7, F_CS6
+       nop.i 0;;
 }
 
-{ .mfb
-      nop.m 999
-(p12) fma.s0 f8 = f8,f1,f0                       
-(p12) br.ret.spnt   b0 ;;                          
+
+{.mfi
+       nop.m 0
+       // 1-x
+       fnma.s1 F_1X = F_X, f1, f1
+       nop.i 0
+}
+
+{.mfi
+       nop.m 0
+       // c3*x+c2
+       fma.s1 F_S23 = F_X, F_CS3, F_CS2
+       nop.i 0;;
+}
+
+
+{.mfi
+       nop.m 0
+       // 1-t^2
+       fnma.s1 F_1T2 = F_T, F_T, f1
+       nop.i 0
+}
+
+{.mfi
+       // load asin(t)_high, asin(t)_low
+       ldfpd F_ATHI, F_ATLO = [r2]
+       // c5*x+c4
+       fma.s1 F_S45 = F_X, F_CS5, F_CS4
+       nop.i 0;;
+}
+
+
+
+{.mfi
+       nop.m 0
+       // t*s
+       fma.s1 F_TS = F_T, f8, f0
+       nop.i 0
+}
+
+{.mfi
+       nop.m 0
+       // 0.5/(1-t^2)
+       fma.s1 F_INV_1T2 = F_INV_1T2, F_2M64, f0
+       nop.i 0;;
+}
+
+{.mfi
+       nop.m 0
+       // z~sqrt(1-t^2), rounded to 24 significant bits
+       fma.s.s1 F_Z = F_SQRT_1T2, F_2M64, f0
+       nop.i 0
+}
+
+{.mfi
+       nop.m 0
+       // sqrt(1-t^2)
+       fma.s1 F_SQRT_1T2 = F_SQRT_1T2, F_2M64, f0
+       nop.i 0;;
+}
+
+
+{.mfi
+       nop.m 0
+       // y*(1-s^2)*x^2
+       fma.s1 F_Y1S2X2 = F_Y1S2, F_X2, f0
+       nop.i 0
+}
+
+{.mfi
+       nop.m 0
+       // x^4
+       fma.s1 F_X4 = F_X2, F_X2, f0
+       nop.i 0;;
+}
+
+
+{.mfi
+       nop.m 0
+       // s*t rounded to 24 significant bits
+       fma.s.s1 F_TSS = F_T, f8, f0
+       nop.i 0
+}
+
+{.mfi
+       nop.m 0
+       // c9*x^3+..+c6
+       fma.s1 F_S69 = F_X2, F_S89, F_S67
+       nop.i 0;;
+}
+
+
+{.mfi
+       nop.m 0
+       // ST = (t^2-1+s^2) rounded to 24 significant bits
+       fms.s.s1 F_ST = f8, f8, F_1T2
+       nop.i 0
+}
+
+{.mfi
+       nop.m 0
+       // c5*x^3+..+c2
+       fma.s1 F_S25 = F_X2, F_S45, F_S23
+       nop.i 0;;
+}
+
+
+{.mfi
+       nop.m 0
+       // 0.25/(1-t^2)
+       fma.s1 F_INV1T2_2 = F_05, F_INV_1T2, f0
+       nop.i 0
+}
+
+{.mfi
+       nop.m 0
+       // t*s-sqrt(1-t^2)*(1-s^2)*y
+       fnma.s1 F_TS = F_Y1S2, F_SQRT_1T2, F_TS
+       nop.i 0;;
+}
+
+
+{.mfi
+       nop.m 0
+       // z*0.5/(1-t^2)
+       fma.s1 F_ZE = F_INV_1T2, F_SQRT_1T2, f0
+       nop.i 0
+}
+
+{.mfi
+       nop.m 0
+       // z^2+t^2-1
+       fms.s1 F_DZ0 = F_Z, F_Z, F_1T2
+       nop.i 0;;
+}
+
+
+{.mfi
+       nop.m 0
+       // (1-s^2-(1-s^2)_s)*x
+       fma.s1 F_DS2X = F_X, F_DS, f0
+       nop.i 0;;
+}
+
+
+{.mfi
+       nop.m 0
+       // t*s-(t*s)_s
+       fms.s1 F_DTS = F_T, f8, F_TSS
+       nop.i 0
+}
+
+{.mfi
+       nop.m 0
+       // c9*x^7+..+c2
+       fma.s1 F_S29 = F_X4, F_S69, F_S25
+       nop.i 0;;
+}
+
+
+{.mfi
+       nop.m 0
+       // y*z
+       fma.s1 F_YZ = F_Z, F_Y, f0
+       nop.i 0
+}
+
+{.mfi
+       nop.m 0
+       // t^2
+       fma.s1 F_T2 = F_T, F_T, f0
+       nop.i 0;;
+}
+
+
+{.mfi
+       nop.m 0
+       // 1-t^2+ST
+       fma.s1 F_1T2_ST = F_ST, f1, F_1T2
+       nop.i 0;;
+}
+
+
+{.mfi
+       nop.m 0
+       // y*(1-s^2)(1-x)
+       fma.s1 F_Y1S2_1X = F_Y1S2, F_1X, f0
+       nop.i 0
+}
+
+{.mfi
+       nop.m 0
+       // dz ~ sqrt(1-t^2)-z
+       fma.s1 F_DZ = F_DZ0, F_ZE, f0
+       nop.i 0;;
+}
+
+
+{.mfi
+       nop.m 0
+       // -1+correction for sqrt(1-t^2)-z
+       fnma.s1 F_CORR = F_INV1T2_2, F_DZ0, f0
+       nop.i 0;;
+}
+
+
+{.mfi
+       nop.m 0
+       // (PS29*x^2+x)*y*(1-s^2)
+       fma.s1 F_S19 = F_Y1S2X2, F_S29, F_Y1S2X
+       nop.i 0;;
+}
+
+
+{.mfi
+       nop.m 0
+       // z*y*(1-s^2)_s
+       fma.s1 F_ZY1S2S = F_YZ, F_1S2_S, f0
+       nop.i 0
+}
+
+{.mfi
+       nop.m 0
+       // s^2-(1-t^2+ST)
+       fms.s1 F_1T2_ST = f8, f8, F_1T2_ST
+       nop.i 0;;
+}
+
+
+{.mfi
+       nop.m 0
+       // (t*s-(t*s)_s)+z*y*(1-s^2-(1-s^2)_s)*x
+       fma.s1 F_DTS = F_YZ, F_DS2X, F_DTS
+       nop.i 0
+}
+
+{.mfi
+       nop.m 0
+       // dz*y*(1-s^2)*(1-x)
+       fma.s1 F_DZ_TERM = F_DZ, F_Y1S2_1X, f0
+       nop.i 0;;
+}
+
+
+{.mfi
+       nop.m 0
+       // R = t*s-sqrt(1-t^2)*(1-s^2)*y+sqrt(1-t^2)*(1-s^2)*y*PS19
+       // (used for polynomial evaluation)
+       fma.s1 F_R = F_S19, F_SQRT_1T2, F_TS
+       nop.i 0;;
+}
+
+
+{.mfi
+       nop.m 0
+       // (PS29*x^2)*y*(1-s^2)
+       fma.s1 F_S29 = F_Y1S2X2, F_S29, f0
+       nop.i 0
+}
+
+{.mfi
+       nop.m 0
+       // apply correction to dz*y*(1-s^2)*(1-x)
+       fma.s1 F_DZ_TERM = F_DZ_TERM, F_CORR, F_DZ_TERM
+       nop.i 0;;
+}
+
+
+{.mfi
+       nop.m 0
+       // R^2
+       fma.s1 F_R2 = F_R, F_R, f0
+       nop.i 0;;
+}
+
+
+{.mfi
+       nop.m 0
+       // (t*s-(t*s)_s)+z*y*(1-s^2-(1-s^2)_s)*x+dz*y*(1-s^2)*(1-x)
+       fma.s1 F_DZ_TERM = F_DZ_TERM, f1, F_DTS
+       nop.i 0;;
 }
-{ .mfi
-(p0)   mov   GR_Parameter_TAG = 60                   
-(p0)   frcpa f10, p6 = f0, f0                   
-nop.i 0
-};;
-.endp SPECIAL
-ASM_SIZE_DIRECTIVE(SPECIAL)
 
-.proc __libm_error_region
-__libm_error_region:
+
+{.mfi
+       nop.m 0
+       // c7+c9*R^2
+       fma.s1 F_P79 = F_C9, F_R2, F_C7
+       nop.i 0
+}
+
+{.mfi
+       nop.m 0
+       // c3+c5*R^2
+       fma.s1 F_P35 = F_C5, F_R2, F_C3
+       nop.i 0;;
+}
+
+{.mfi
+       nop.m 0
+       // asin(t)_low-(pi/2)_low
+       fms.s1 F_ATLO = F_ATLO, f1, F_PI2_LO
+       nop.i 0
+}
+
+{.mfi
+       nop.m 0
+       // R^4
+       fma.s1 F_R4 = F_R2, F_R2, f0
+       nop.i 0;;
+}
+
+{.mfi
+       nop.m 0
+       // R^3
+       fma.s1 F_R3 = F_R2, F_R, f0
+       nop.i 0;;
+}
+
+
+{.mfi
+       nop.m 0
+       // (t*s)_s-t^2*y*z
+       fnma.s1 F_TSS = F_T2, F_YZ, F_TSS
+       nop.i 0
+}
+
+{.mfi
+       nop.m 0
+       // d(ts)+z*y*d(1-s^2)*x+dz*y*(1-s^2)*(1-x)+z*y*(s^2-1+t^2-ST)
+       fma.s1 F_DZ_TERM = F_YZ, F_1T2_ST, F_DZ_TERM
+       nop.i 0;;
+}
+
+
+{.mfi
+       nop.m 0
+       // (pi/2)_hi-asin(t)_hi
+       fms.s1 F_ATHI = F_PI2_HI, f1, F_ATHI
+       nop.i 0
+}
+
+{.mfi
+       nop.m 0
+       // c3+c5*R^2+c7*R^4+c9*R^6
+       fma.s1 F_P39 = F_P79, F_R4, F_P35
+       nop.i 0;;
+}
+
+
+{.mfi
+       nop.m 0
+       // d(ts)+z*y*d(1-s^2)*x+dz*y*(1-s^2)*(1-x)+z*y*(s^2-1+t^2-ST)+
+       // + sqrt(1-t^2)*y*(1-s^2)*x^2*PS29
+       fma.s1 F_DZ_TERM = F_SQRT_1T2, F_S29, F_DZ_TERM
+       nop.i 0;;
+}
+
+
+{.mfi
+       nop.m 0
+       // (t*s)_s-t^2*y*z+z*y*ST
+       fma.s1 F_TSS = F_YZ, F_ST, F_TSS
+       nop.i 0
+}
+
+{.mfi
+       nop.m 0
+       // -asin(t)_low+R^3*(c3+c5*R^2+c7*R^4+c9*R^6)
+       fms.s1 F_P39 = F_P39, F_R3, F_ATLO
+       nop.i 0;;
+}
+
+
+{.mfi
+       nop.m 0
+       // if s<0, change sign of F_ATHI
+ (p6) fnma.s1 F_ATHI = F_ATHI, f1, f0
+       nop.i 0
+}
+
+{.mfi
+       nop.m 0
+       // d(ts)+z*y*d(1-s^2)*x+dz*y*(1-s^2)*(1-x)+z*y*(s^2-1+t^2-ST) +
+       // + sqrt(1-t^2)*y*(1-s^2)*x^2*PS29 +
+       // - asin(t)_low+R^3*(c3+c5*R^2+c7*R^4+c9*R^6)
+       fma.s1 F_DZ_TERM = F_P39, f1, F_DZ_TERM
+       nop.i 0;;
+}
+
+
+{.mfi
+       nop.m 0
+       // d(ts)+z*y*d(1-s^2)*x+dz*y*(1-s^2)*(1-x)+z*y*(s^2-1+t^2-ST) +
+       // + sqrt(1-t^2)*y*(1-s^2)*x^2*PS29 + z*y*(1-s^2)_s*x +
+       // - asin(t)_low+R^3*(c3+c5*R^2+c7*R^4+c9*R^6)
+       fma.s1 F_DZ_TERM = F_ZY1S2S, F_X, F_DZ_TERM
+       nop.i 0;;
+}
+
+
+{.mfi
+       nop.m 0
+       // d(ts)+z*y*d(1-s^2)*x+dz*y*(1-s^2)*(1-x)+z*y*(s^2-1+t^2-ST) +
+       // + sqrt(1-t^2)*y*(1-s^2)*x^2*PS29 + z*y*(1-s^2)_s*x +
+       // - asin(t)_low+R^3*(c3+c5*R^2+c7*R^4+c9*R^6) +
+       // + (t*s)_s-t^2*y*z+z*y*ST
+       fma.s1 F_DZ_TERM = F_TSS, f1, F_DZ_TERM
+       nop.i 0;;
+}
+
+
+.pred.rel "mutex", p6, p11
+{.mfi
+       nop.m 0
+       // result: add high part of pi/2-table value
+       // s>0 in this case
+ (p11) fma.s0 f8 = F_DZ_TERM, f1, F_ATHI
+       nop.i 0
+}
+
+{.mfb
+       nop.m 0
+       // result: add high part of pi/2-table value
+       // if s<0
+ (p6) fnma.s0 f8 = F_DZ_TERM, f1, F_ATHI
+       br.ret.sptk b0;;
+}
+
+
+
+
+
+
+SMALL_S:
+
+       // use 15-term polynomial approximation
+
+{.mmi
+       // r3 = pointer to polynomial coefficients
+       addl r3 = @ltoff(poly_coeffs), gp;;
+       // load start address for coefficients
+       ld8 r3 = [r3]
+       mov R_TMP = 0x3fbf;;
+}
+
+
+{.mmi
+       add r2 = 64, r3
+       ldfe F_C3 = [r3], 16
+       // p7 = 1 if |s|<2^{-64} (exponent of s<bias-64)
+       cmp.lt p7, p0 = R_EXP0, R_TMP;;
+}
+
+{.mmf
+       ldfe F_C5 = [r3], 16
+       ldfpd F_C11, F_C13 = [r2], 16
+	   // 2^{-128}
+       fma.s1 F_2M128 = F_2M64, F_2M64, f0;;
+}
+
+{.mmf
+       ldfpd F_C7, F_C9 = [r3]
+       ldfpd F_C15, F_C17 = [r2]
+       // if |s|<2^{-64}, return s+2^{-128}*s
+ (p7) fma.s0 f8 = f8, F_2M128, f8;;
+}
+
+
+
+{.mfb
+       nop.m 0
+       // s^2
+       fma.s1 F_R2 = f8, f8, f0
+       // if |s|<2^{-64}, return s
+ (p7) br.ret.spnt b0;;
+}
+
+
+{.mfi
+       nop.m 0
+       // s^3
+       fma.s1 F_R3 = f8, F_R2, f0
+       nop.i 0
+}
+
+{.mfi
+       nop.m 0
+       // s^4
+       fma.s1 F_R4 = F_R2, F_R2, f0
+       nop.i 0;;
+}
+
+
+{.mfi
+       nop.m 0
+       // c3+c5*s^2
+       fma.s1 F_P35 = F_C5, F_R2, F_C3
+       nop.i 0
+}
+
+{.mfi
+       nop.m 0
+       // c11+c13*s^2
+       fma.s1 F_P1113 = F_C13, F_R2, F_C11
+       nop.i 0;;
+}
+
+
+{.mfi
+       nop.m 0
+       // c7+c9*s^2
+       fma.s1 F_P79 = F_C9, F_R2, F_C7
+       nop.i 0
+}
+
+{.mfi
+       nop.m 0
+       // c15+c17*s^2
+       fma.s1 F_P1517 = F_C17, F_R2, F_C15
+       nop.i 0;;
+}
+
+
+{.mfi
+       nop.m 0
+       // s^8
+       fma.s1 F_R8 = F_R4, F_R4, f0
+       nop.i 0;;
+}
+
+
+{.mfi
+       nop.m 0
+       // c3+c5*s^2+c7*s^4+c9*s^6
+       fma.s1 F_P39 = F_P79, F_R4, F_P35
+       nop.i 0
+}
+
+{.mfi
+       nop.m 0
+       // c11+c13*s^2+c15*s^4+c17*s^6
+       fma.s1 F_P1117 = F_P1517, F_R4, F_P1113
+       nop.i 0;;
+}
+
+
+{.mfi
+       nop.m 0
+       // c3+..+c17*s^14
+       fma.s1 F_P317 = F_R8, F_P1117, F_P39
+       nop.i 0;;
+}
+
+
+{.mfb
+       nop.m 0
+       // result
+       fma.s0 f8 = F_P317, F_R3, f8
+       br.ret.sptk b0;;
+}
+
+
+{.mfb
+       nop.m 0
+       fma.s0 f8 = F_P317, F_R3, f0//F_P317, F_R3, F_S29
+       // nop.f 0//fma.s0 f8 = f13, f6, f0
+       br.ret.sptk b0;;
+}
+
+
+
+
+
+       VERY_LARGE_INPUT:
+
+{.mfi
+       nop.m 0
+       // s rounded to 24 significant bits
+       fma.s.s1 F_S = f8, f1, f0
+       nop.i 0
+}
+
+{.mfi
+       // load C5
+       ldfe F_C5 = [r3], 16
+       // x = ((1-(s^2)_s)*y^2-1)/2-(s^2-(s^2)_s)*y^2/2
+       fnma.s1 F_X = F_S_DS2, F_Y2_2, F_XL
+       nop.i 0;;
+}
+
+
+
+{.mmf
+       nop.m 0
+       // C7, C9
+       ldfpd F_C7, F_C9 = [r3], 16
+       nop.f 0;;
+}
+
+
+
+{.mfi
+       // pi/2 (low, high)
+       ldfpd F_PI2_LO, F_PI2_HI = [r3], 16
+       // c9*x+c8
+       fma.s1 F_S89 = F_X, F_CS9, F_CS8
+       nop.i 0
+}
+
+{.mfi
+       nop.m 0
+       // x^2
+       fma.s1 F_X2 = F_X, F_X, f0
+       nop.i 0;;
+}
+
+
+{.mfi
+       nop.m 0
+       // y*(1-s^2)*x
+       fma.s1 F_Y1S2X = F_Y1S2, F_X, f0
+       nop.i 0
+}
+
+{.mfi
+       // C11, C13
+       ldfpd F_C11, F_C13 = [r3], 16
+       // c7*x+c6
+       fma.s1 F_S67 = F_X, F_CS7, F_CS6
+       nop.i 0;;
+}
+
+
+{.mfi
+       // C15, C17
+       ldfpd F_C15, F_C17 = [r3], 16
+       // c3*x+c2
+       fma.s1 F_S23 = F_X, F_CS3, F_CS2
+       nop.i 0;;
+}
+
+
+{.mfi
+       nop.m 0
+       // c5*x+c4
+       fma.s1 F_S45 = F_X, F_CS5, F_CS4
+       nop.i 0;;
+}
+
+
+{.mfi
+       nop.m 0
+       // (s_s)^2
+       fma.s1 F_DS = F_S, F_S, f0
+       nop.i 0
+}
+
+{.mfi
+       nop.m 0
+       // 1-(s_s)^2
+       fnma.s1 F_1S2_S = F_S, F_S, f1
+       nop.i 0;;
+}
+
+
+{.mfi
+       nop.m 0
+       // y*(1-s^2)*x^2
+       fma.s1 F_Y1S2X2 = F_Y1S2, F_X2, f0
+       nop.i 0
+}
+
+{.mfi
+       nop.m 0
+       // x^4
+       fma.s1 F_X4 = F_X2, F_X2, f0
+       nop.i 0;;
+}
+
+
+{.mfi
+       nop.m 0
+       // c9*x^3+..+c6
+       fma.s1 F_S69 = F_X2, F_S89, F_S67
+       nop.i 0;;
+}
+
+
+{.mfi
+       nop.m 0
+       // c5*x^3+..+c2
+       fma.s1 F_S25 = F_X2, F_S45, F_S23
+       nop.i 0;;
+}
+
+
+{.mfi
+       nop.m 0
+       // ((s_s)^2-s^2)
+       fnma.s1 F_DS = f8, f8, F_DS
+       nop.i 0
+}
+
+{.mfi
+       nop.m 0
+       // (pi/2)_high-y*(1-(s_s)^2)
+       fnma.s1 F_HI = F_Y, F_1S2_S, F_PI2_HI
+       nop.i 0;;
+}
+
+
+{.mfi
+       nop.m 0
+       // c9*x^7+..+c2
+       fma.s1 F_S29 = F_X4, F_S69, F_S25
+       nop.i 0;;
+}
+
+
+{.mfi
+       nop.m 0
+       // -(y*(1-(s_s)^2))_high
+       fms.s1 F_1S2_HI = F_HI, f1, F_PI2_HI
+       nop.i 0;;
+}
+
+
+{.mfi
+       nop.m 0
+       // (PS29*x^2+x)*y*(1-s^2)
+       fma.s1 F_S19 = F_Y1S2X2, F_S29, F_Y1S2X
+       nop.i 0;;
+}
+
+
+{.mfi
+       nop.m 0
+       // y*(1-(s_s)^2)-(y*(1-s^2))_high
+       fma.s1 F_DS2 = F_Y, F_1S2_S, F_1S2_HI
+       nop.i 0;;
+}
+
+
+
+{.mfi
+       nop.m 0
+       // R ~ sqrt(1-s^2)
+       // (used for polynomial evaluation)
+       fnma.s1 F_R = F_S19, f1, F_Y1S2
+       nop.i 0;;
+}
+
+
+{.mfi
+       nop.m 0
+       // y*(1-s^2)-(y*(1-s^2))_high
+       fma.s1 F_DS2 = F_Y, F_DS, F_DS2
+       nop.i 0
+}
+
+{.mfi
+       nop.m 0
+       // (pi/2)_low+(PS29*x^2)*y*(1-s^2)
+       fma.s1 F_S29 = F_Y1S2X2, F_S29, F_PI2_LO
+       nop.i 0;;
+}
+
+
+
+{.mfi
+       nop.m 0
+       // R^2
+       fma.s1 F_R2 = F_R, F_R, f0
+       nop.i 0;;
+}
+
+
+{.mfi
+       nop.m 0
+       // (pi/2)_low+(PS29*x^2)*y*(1-s^2)-(y*(1-s^2)-(y*(1-s^2))_high)
+       fms.s1 F_S29 = F_S29, f1, F_DS2
+       nop.i 0;;
+}
+
+
+{.mfi
+       nop.m 0
+       // c7+c9*R^2
+       fma.s1 F_P79 = F_C9, F_R2, F_C7
+       nop.i 0
+}
+
+{.mfi
+       nop.m 0
+       // c3+c5*R^2
+       fma.s1 F_P35 = F_C5, F_R2, F_C3
+       nop.i 0;;
+}
+
+
+
+{.mfi
+       nop.m 0
+       // R^4
+       fma.s1 F_R4 = F_R2, F_R2, f0
+       nop.i 0
+}
+
+{.mfi
+       nop.m 0
+       // R^3
+       fma.s1 F_R3 = F_R2, F_R, f0
+       nop.i 0;;
+}
+
+
+{.mfi
+       nop.m 0
+       // c11+c13*R^2
+       fma.s1 F_P1113 = F_C13, F_R2, F_C11
+       nop.i 0
+}
+
+{.mfi
+       nop.m 0
+       // c15+c17*R^2
+       fma.s1 F_P1517 = F_C17, F_R2, F_C15
+       nop.i 0;;
+}
+
+
+{.mfi
+       nop.m 0
+       // (pi/2)_low+(PS29*x^2)*y*(1-s^2)-(y*(1-s^2)-(y*(1-s^2))_high)+y*(1-s^2)*x
+       fma.s1 F_S29 = F_Y1S2, F_X, F_S29
+       nop.i 0;;
+}
+
+
+{.mfi
+       nop.m 0
+       // c11+c13*R^2+c15*R^4+c17*R^6
+       fma.s1 F_P1117 = F_P1517, F_R4, F_P1113
+       nop.i 0
+}
+
+{.mfi
+       nop.m 0
+       // c3+c5*R^2+c7*R^4+c9*R^6
+       fma.s1 F_P39 = F_P79, F_R4, F_P35
+       nop.i 0;;
+}
+
+
+{.mfi
+       nop.m 0
+       // R^8
+       fma.s1 F_R8 = F_R4, F_R4, f0
+       nop.i 0;;
+}
+
+
+{.mfi
+       nop.m 0
+       // c3+c5*R^2+c7*R^4+c9*R^6+..+c17*R^14
+       fma.s1 F_P317 = F_P1117, F_R8, F_P39
+       nop.i 0;;
+}
+
+
+{.mfi
+       nop.m 0
+       // (pi/2)_low-(PS29*x^2)*y*(1-s^2)-(y*(1-s^2)-
+       // -(y*(1-s^2))_high)+y*(1-s^2)*x - P3, 17
+       fnma.s1 F_S29 = F_P317, F_R3, F_S29
+       nop.i 0;;
+}
+
+{.mfi
+       nop.m 0
+       // set sign
+  (p6) fnma.s1 F_S29 = F_S29, f1, f0
+       nop.i 0
+}
+
+{.mfi
+       nop.m 0
+  (p6) fnma.s1 F_HI = F_HI, f1, f0
+       nop.i 0;;
+}
+
+
+{.mfb
+       nop.m 0
+       // Result:
+       // (pi/2)_low-(PS29*x^2)*y*(1-s^2)-(y*(1-s^2)-
+       // -(y*(1-s^2))_high)+y*(1-s^2)*x - P3, 17
+       // +(pi/2)_high-(y*(1-s^2))_high
+       fma.s0 f8 = F_S29, f1, F_HI
+       br.ret.sptk b0;;
+}
+
+
+
+
+
+
+
+
+
+       ASINL_SPECIAL_CASES:
+
+{.mfi
+       alloc r32 = ar.pfs, 1, 4, 4, 0
+       // check if the input is a NaN, or unsupported format
+       // (i.e. not infinity or normal/denormal)
+       fclass.nm p7, p8 = f8, 0x3f
+       // pointer to pi/2
+       add r3 = 48, r3;;
+}
+
+
+{.mfi
+       // load pi/2
+       ldfpd F_PI2_HI, F_PI2_LO = [r3]
+       // get |s|
+       fmerge.s F_S = f0, f8
+       nop.i 0
+}
+
+{.mfb
+       nop.m 0
+       // if NaN, quietize it, and return
+ (p7) fma.s0 f8 = f8, f1, f0
+ (p7) br.ret.spnt b0;;
+}
+
+
+{.mfi
+       nop.m 0
+       // |s| = 1 ?
+       fcmp.eq.s0 p9, p0 = F_S, f1
+       nop.i 0
+}
+
+{.mfi
+       nop.m 0
+       // load FR_X
+       fma.s1 FR_X = f8, f1, f0
+       // load error tag
+       mov GR_Parameter_TAG = 60;;
+}
+
+
+{.mfb
+       nop.m 0
+       // change sign if s = -1
+ (p6)  fnma.s1 F_PI2_HI = F_PI2_HI, f1, f0
+       nop.b 0
+}
+
+{.mfb
+       nop.m 0
+       // change sign if s = -1
+ (p6)  fnma.s1 F_PI2_LO = F_PI2_LO, f1, f0
+       nop.b 0;;
+}
+
+{.mfb
+       nop.m 0
+       // if s = 1, result is pi/2
+ (p9) fma.s0 f8 = F_PI2_HI, f1, F_PI2_LO
+       // return if |s| = 1
+ (p9) br.ret.sptk b0;;
+}
+
+
+{.mfi
+       nop.m 0
+       // get Infinity
+       frcpa.s1 FR_RESULT, p0 = f1, f0
+       nop.i 0;;
+}
+
+
+{.mfi
+       nop.m 0
+       // return QNaN indefinite (0*Infinity)
+       fma.s0 FR_RESULT = f0, FR_RESULT, f0
+       nop.i 0;;
+}
+
+
+GLOBAL_LIBM_END(asinl)
+
+
+LOCAL_LIBM_ENTRY(__libm_error_region)
 .prologue
+// (1)
 { .mfi
         add   GR_Parameter_Y=-32,sp             // Parameter 2 value
         nop.f 0
@@ -742,24 +2470,29 @@ __libm_error_region:
 }
 { .mfi
 .fframe 64
-        add sp=-64,sp                           // Create new stack
+        add sp=-64,sp                          // Create new stack
         nop.f 0
-        mov GR_SAVE_GP=gp                       // Save gp
+        mov GR_SAVE_GP=gp                      // Save gp
 };;
+
+
+// (2)
 { .mmi
-        stfe [GR_Parameter_Y] = FR_Y,16         // Store Parameter 2 on stack
-        add GR_Parameter_X = 16,sp              // Parameter 1 address
+        stfe [GR_Parameter_Y] = f1,16         // Store Parameter 2 on stack
+        add GR_Parameter_X = 16,sp            // Parameter 1 address
 .save   b0, GR_SAVE_B0
-        mov GR_SAVE_B0=b0                       // Save b0
+        mov GR_SAVE_B0=b0                     // Save b0
 };;
+
 .body
+// (3)
 { .mib
-        stfe [GR_Parameter_X] = FR_X            // Store Parameter 1 on stack
+        stfe [GR_Parameter_X] = FR_X              // Store Parameter 1 on stack
         add   GR_Parameter_RESULT = 0,GR_Parameter_Y
         nop.b 0                                 // Parameter 3 address
 }
 { .mib
-        stfe [GR_Parameter_Y] = FR_RESULT       // Store Parameter 3 on stack
+        stfe [GR_Parameter_Y] = FR_RESULT             // Store Parameter 3 on stack
         add   GR_Parameter_Y = -16,GR_Parameter_Y
         br.call.sptk b0=__libm_error_support#   // Call error handling function
 };;
@@ -768,23 +2501,27 @@ __libm_error_region:
         nop.m 0
         add   GR_Parameter_RESULT = 48,sp
 };;
+
+// (4)
 { .mmi
         ldfe  f8 = [GR_Parameter_RESULT]       // Get return result off stack
 .restore sp
         add   sp = 64,sp                       // Restore stack pointer
         mov   b0 = GR_SAVE_B0                  // Restore return address
 };;
+
 { .mib
-        mov   gp = GR_SAVE_GP                  // Restore gp 
+        mov   gp = GR_SAVE_GP                  // Restore gp
         mov   ar.pfs = GR_SAVE_PFS             // Restore ar.pfs
         br.ret.sptk     b0                     // Return
-};; 
+};;
 
-.endp __libm_error_region
-ASM_SIZE_DIRECTIVE(__libm_error_region)
+LOCAL_LIBM_END(__libm_error_region)
 
 .type   __libm_error_support#,@function
 .global __libm_error_support#
 
-.type   __libm_atan2_reg#,@function
-.global __libm_atan2_reg#
+
+
+
+
diff --git a/sysdeps/ia64/fpu/e_atan2.S b/sysdeps/ia64/fpu/e_atan2.S
index 38dd2f749a..8be7c6cec5 100644
--- a/sysdeps/ia64/fpu/e_atan2.S
+++ b/sysdeps/ia64/fpu/e_atan2.S
@@ -1,10 +1,10 @@
 .file "atan2.s"
 
-// Copyright (C) 2000, 2001, Intel Corporation
+
+// Copyright (c) 2000 - 2003, Intel Corporation
 // All rights reserved.
-// 
-// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story,
-// and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
 //
 // Redistribution and use in source and binary forms, with or without
 // modification, are permitted provided that the following conditions are
@@ -20,33 +20,38 @@
 // * The name of Intel Corporation may not be used to endorse or promote
 // products derived from this software without specific prior written
 // permission.
-//
-// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
-// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
-// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS 
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
 // CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
-// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, 
-// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 
-// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY 
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
 // OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
-// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 
-// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 
-// 
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+//
 // Intel Corporation is the author of this code, and requests that all
-// problem reports or change requests be submitted to it directly at 
-// http://developer.intel.com/opensource.
+// problem reports or change requests be submitted to it directly at
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
 //
 // History
 //==============================================================
-// 2/02/00  Initial version
-// 4/04/00  Unwind support added
-// 8/15/00  Bundle added after call to __libm_error_support to properly
-//          set [the previously overwritten] GR_Parameter_RESULT.
-// 8/17/00  Changed predicate register macro-usage to direct predicate
-//          names due to an assembler bug.
-// 9/28/00  Updated to set invalid on SNaN inputs
-// 1/19/01  Fixed flags for small results
+// 02/02/00  Initial version
+// 04/04/00  Unwind support added
+// 08/15/00  Bundle added after call to __libm_error_support to properly
+//           set [the previously overwritten] GR_Parameter_RESULT.
+// 08/17/00  Changed predicate register macro-usage to direct predicate
+//           names due to an assembler bug.
+// 09/28/00  Updated to set invalid on SNaN inputs
+// 01/19/01  Fixed flags for small results
+// 04/13/01  Rescheduled to make all paths faster
+// 05/20/02  Cleaned up namespace and sf0 syntax
+// 08/20/02  Corrected inexact flag and directed rounding symmetry bugs
+// 02/06/03  Reordered header: .section, .global, .proc, .align
+// 04/17/03  Added missing mutex directive
 //
 // API
 //==============================================================
@@ -55,10 +60,12 @@
 // Overview of operation
 //==============================================================
 //
+// The atan2 function returns values in the interval [-pi,+pi].
+//
 // There are two basic paths: swap true and swap false.
 // atan2(Y,X) ==> atan2(V/U) where U >= V. If Y > X, we must swap.
 //
-// p6  swap True    |Y| > |X| 
+// p6  swap True    |Y| > |X|
 // p7  swap False   |Y| <= |X|
 // p8  X+   (If swap=True p8=p9=0)
 // p9  X-
@@ -66,21 +73,21 @@
 // all the other predicates p10 thru p15 are false for the main path
 //
 // Simple trigonometric identities show
-//   Region 1 (-45 to +45 degrees):  
+//   Region 1 (-45 to +45 degrees):
 //         X>0, |Y|<=X, V=Y, U=X     atan2(Y,X) = sgnY * (0 + atan(V/U))
 //
-//   Region 2 (-90 to -45 degrees, and +45 to +90 degrees):  
+//   Region 2 (-90 to -45 degrees, and +45 to +90 degrees):
 //         X>0, |Y|>X, V=X, U=Y      atan2(Y,X) = sgnY * (pi/2 - atan(V/U))
 //
-//   Region 3 (-135 to -90 degrees, and +90 to +135 degrees):  
+//   Region 3 (-135 to -90 degrees, and +90 to +135 degrees):
 //         X<0, |Y|>X, V=X, U=Y      atan2(Y,X) = sgnY * (pi/2 + atan(V/U))
 //
-//   Region 4 (-180 to -135 degrees, and +135 to +180 degrees):  
+//   Region 4 (-180 to -135 degrees, and +135 to +180 degrees):
 //         X<0, |Y|<=X, V=Y, U=X      atan2(Y,X) = sgnY * (pi - atan(V/U))
 //
 // So the result is always of the form atan2(Y,X) = P + sgnXY * atan(V/U)
 //
-// We compute atan(V/U) from the identity 
+// We compute atan(V/U) from the identity
 //      atan(z) + atan([(V/U)-z] / [1+(V/U)z])
 //      where z is a limited precision approximation (16 bits) to V/U
 //
@@ -124,13 +131,13 @@
 //             +number           -0          +pi/2
 //             -number           -0          -pi/2
 //
-//             +0                +number     +0 
-//             -0                +number     -0 
+//             +0                +number     +0
+//             -0                +number     -0
 //             +0                -number     +pi
 //             -0                -number     -pi
 //
-//             +0                +0          +0 
-//             -0                +0          -0 
+//             +0                +0          +0
+//             -0                +0          -0
 //             +0                -0          +pi
 //             -0                -0          -pi
 //
@@ -138,16 +145,26 @@
 //            anything        NaN           quiet X
 
 // atan2(+-0/+-0) sets double error tag to 37
-// atan2(+-0/+-0) sets single error tag to 38
 
-#include "libm_support.h"
+// Registers used
+//==============================================================
+
+// predicate registers used:
+// p6 -> p15
+
+// floating-point registers used:
+// f8, f9 input
+// f32 -> f119
+
+// general registers used
+// r32 -> r41
 
 // Assembly macros
 //==============================================================
 
 EXP_AD_P1                    = r33
 EXP_AD_P2                    = r34
-atan2_GR_sml_exp             = r35
+rsig_near_one                = r35
 
 
 GR_SAVE_B0                   = r35
@@ -159,22 +176,23 @@ GR_Parameter_Y               = r39
 GR_Parameter_RESULT          = r40
 atan2_GR_tag                 = r41
 
-
-atan2_X                      = f9
 atan2_Y                      = f8
+atan2_X                      = f9
 
 atan2_u1_X                   = f32
 atan2_u1_Y                   = f33
-atan2_Umax                   = f34
-atan2_Vmin                   = f35
+atan2_z2_X                   = f34
+atan2_z2_Y                   = f35
+
 atan2_two                    = f36
-atan2_absX                   = f37
+atan2_B1sq_Y                 = f37
 atan2_z1_X                   = f38
 atan2_z1_Y                   = f39
 atan2_B1X                    = f40
+
 atan2_B1Y                    = f41
-atan2_wp                     = f42
-atan2_B1sq                   = f43
+atan2_wp_X                   = f42
+atan2_B1sq_X                 = f43
 atan2_z                      = f44
 atan2_w                      = f45
 
@@ -183,178 +201,149 @@ atan2_P1                     = f47
 atan2_P2                     = f48
 atan2_P3                     = f49
 atan2_P4                     = f50
+
 atan2_P5                     = f51
 atan2_P6                     = f52
 atan2_P7                     = f53
 atan2_P8                     = f54
 atan2_P9                     = f55
+
 atan2_P10                    = f56
 atan2_P11                    = f57
 atan2_P12                    = f58
 atan2_P13                    = f59
 atan2_P14                    = f60
+
 atan2_P15                    = f61
 atan2_P16                    = f62
 atan2_P17                    = f63
 atan2_P18                    = f64
 atan2_P19                    = f65
+
 atan2_P20                    = f66
 atan2_P21                    = f67
 atan2_P22                    = f68
-atan2_Pi_by_2                = f69
-
+atan2_tmp                    = f68
+atan2_pi_by_2                = f69
+atan2_sgn_pi_by_2            = f69
 atan2_V13                    = f70
+
 atan2_W11                    = f71
 atan2_E                      = f72
-atan2_gamma                  = f73
+atan2_wp_Y                   = f73
 atan2_V11                    = f74
 atan2_V12                    = f75
+
 atan2_V7                     = f76
 atan2_V8                     = f77
 atan2_W7                     = f78
 atan2_W8                     = f79
 atan2_W3                     = f80
+
 atan2_W4                     = f81
 atan2_V3                     = f82
 atan2_V4                     = f83
 atan2_F                      = f84
 atan2_gV                     = f85
+
 atan2_V10                    = f86
 atan2_zcub                   = f87
 atan2_V6                     = f88
 atan2_V9                     = f89
 atan2_W10                    = f90
+
 atan2_W6                     = f91
 atan2_W2                     = f92
 atan2_V2                     = f93
-
 atan2_alpha                  = f94
 atan2_alpha_1                = f95
+
 atan2_gVF                    = f96
 atan2_V5                     = f97
 atan2_W12                    = f98
 atan2_W5                     = f99
 atan2_alpha_sq               = f100
+
 atan2_Cp                     = f101
 atan2_V1                     = f102
-
-atan2_sml_norm               = f103
-atan2_FR_tmp                 = f103
-
+atan2_ysq                    = f103
 atan2_W1                     = f104
 atan2_alpha_cub              = f105
+
 atan2_C                      = f106
-atan2_P                      = f107
+atan2_xsq                    = f107
 atan2_d                      = f108
 atan2_A_hi                   = f109
 atan2_dsq                    = f110
+
 atan2_pd                     = f111
 atan2_A_lo                   = f112
 atan2_A                      = f113
-
 atan2_Pp                     = f114
+atan2_sgnY                   = f115
 
-atan2_sgnY                   = f116
+atan2_sig_near_one           = f116
+atan2_near_one               = f116
 atan2_pi                     = f117
-atan2_sgnX                   = f118
-atan2_sgnXY                  = f119
-
-atan2_3pi_by_4               = f120
-atan2_pi_by_4                = f121
-
-//atan2_sF                     = p7
-//atan2_sT                     = p6
+atan2_sgn_pi                 = f117
+atan2_3pi_by_4               = f118
+atan2_pi_by_4                = f119
 
-// These coefficients are for atan2. 
-// You can also use this set to substitute those used in the |X| <= 1 case for atan; 
-// BUT NOT vice versa.
 
 /////////////////////////////////////////////////////////////
 
 
-#ifdef _LIBC
-.rodata
-#else
-.data
-#endif
+RODATA
 
 .align 16
 
-atan2_tb1:
-ASM_TYPE_DIRECTIVE(atan2_tb1,@object)
-data8 0xB199DD6D2675C40F ,  0x0000BFFA // P10
+LOCAL_OBJECT_START(atan2_tb1)
 data8 0xA21922DC45605EA1 ,  0x00003FFA // P11
-data8 0xD78F28FC2A592781 ,  0x0000BFFA // P8
+data8 0xB199DD6D2675C40F ,  0x0000BFFA // P10
 data8 0xC2F01E5DDD100DBE ,  0x00003FFA // P9
-data8 0x9D89D7D55C3287A5 ,  0x00003FFB // P5
+data8 0xD78F28FC2A592781 ,  0x0000BFFA // P8
 data8 0xF0F03ADB3FC930D3 ,  0x00003FFA // P7
-data8 0xF396268151CFB11C ,  0x00003FF7 // P17 
-data8 0x9D3436AABE218776 ,  0x00003FF5 // P19
-data8 0x80D601879218B53A ,  0x00003FFA // P13
-data8 0xA2270D30A90AA220 ,  0x00003FF9 // P15
-data8 0xCCCCCCCCCCC906CD ,  0x00003FFC // P1
+data8 0x88887EBB209E3543 ,  0x0000BFFB // P6
+data8 0x9D89D7D55C3287A5 ,  0x00003FFB // P5
+data8 0xBA2E8B9793955C77 ,  0x0000BFFB // P4
 data8 0xE38E38E320A8A098 ,  0x00003FFB // P3
-data8 0xFE7E52D2A89995B3 ,  0x0000BFEC // P22
-data8 0xC90FDAA22168C235 ,  0x00003FFE // pi/4
-ASM_SIZE_DIRECTIVE(atan2_tb1)
+data8 0x9249249247E37913 ,  0x0000BFFC // P2
+data8 0xCCCCCCCCCCC906CD ,  0x00003FFC // P1
+data8 0xAAAAAAAAAAAAA8A9 ,  0x0000BFFD // P0
+data8 0xC90FDAA22168C235 ,  0x00004000 // pi
+LOCAL_OBJECT_END(atan2_tb1)
 
-atan2_tb2:
-ASM_TYPE_DIRECTIVE(atan2_tb2,@object)
-data8 0x9F90FB984D8E39D0 ,  0x0000BFF3 // P20
+LOCAL_OBJECT_START(atan2_tb2)
 data8 0xCE585A259BD8374C ,  0x00003FF0 // P21
-data8 0xBA2E8B9793955C77 ,  0x0000BFFB // P4
-data8 0x88887EBB209E3543 ,  0x0000BFFB // P6
-data8 0xD818B4BB43D84BF2 ,  0x0000BFF8 // P16
+data8 0x9F90FB984D8E39D0 ,  0x0000BFF3 // P20
+data8 0x9D3436AABE218776 ,  0x00003FF5 // P19
 data8 0xDEC343E068A6D2A8 ,  0x0000BFF6 // P18
-data8 0x9297B23CCFFB291F ,  0x0000BFFA // P12
+data8 0xF396268151CFB11C ,  0x00003FF7 // P17
+data8 0xD818B4BB43D84BF2 ,  0x0000BFF8 // P16
+data8 0xA2270D30A90AA220 ,  0x00003FF9 // P15
 data8 0xD5F4F2182E7A8725 ,  0x0000BFF9 // P14
-data8 0xAAAAAAAAAAAAA8A9 ,  0x0000BFFD // P0
-data8 0x9249249247E37913 ,  0x0000BFFC // P2
+data8 0x80D601879218B53A ,  0x00003FFA // P13
+data8 0x9297B23CCFFB291F ,  0x0000BFFA // P12
+data8 0xFE7E52D2A89995B3 ,  0x0000BFEC // P22
 data8 0xC90FDAA22168C235 ,  0x00003FFF // pi/2
-data8 0xC90FDAA22168C235 ,  0x00004000 // pi
+data8 0xC90FDAA22168C235 ,  0x00003FFE // pi/4
 data8 0x96cbe3f9990e91a8 ,  0x00004000 // 3pi/4
-ASM_SIZE_DIRECTIVE(atan2_tb2)
-
-
+LOCAL_OBJECT_END(atan2_tb2)
 
 
-.align 32
-.global atan2#
-#ifdef _LIBC
-.global __atan2#
-.global __ieee754_atan2#
-#endif
 
-////////////////////////////////////////////////////////
 
 .section .text
-.align 32
-
-.proc  atan2#
-atan2:
-#ifdef _LIBC
-.proc  __atan2#
-__atan2:
-.proc  __ieee754_atan2#
-__ieee754_atan2:
-#endif
-// qnan snan inf norm     unorm 0 -+
-// 0    0    1   0        0     0 11
-
-
-//         Y NAN?     p10 p11
-// p10 ==> quiet Y and return
-// p11     X NAN?     p12, p13 
-// p12 ==> quiet X and return
+GLOBAL_IEEE754_ENTRY(atan2)
 
 { .mfi
            alloc        r32           = ar.pfs,1,5,4,0
            frcpa.s1     atan2_u1_X,p6 = f1,atan2_X
-           addl         EXP_AD_P2   = @ltoff(atan2_tb2), gp
+           nop.i 999
 }
 { .mfi
            addl         EXP_AD_P1   = @ltoff(atan2_tb1), gp
-           fclass.m.unc p10,p11 = f8, 0xc3
+           fma.s1       atan2_two  = f1,f1,f1
            nop.i 999
 ;;
 }
@@ -366,256 +355,233 @@ __ieee754_atan2:
 }
 { .mfi
            nop.m 999
-           fma.s1       atan2_two  = f1,f1,f1 
+           fma.s1       atan2_xsq  = atan2_X,atan2_X,f0
            nop.i 999
 ;;
 }
 
-
 { .mfi
-           ld8 EXP_AD_P2 = [ EXP_AD_P2]
-           famax.s1     atan2_Umax =  f8,f9
+           nop.m 999
+           fclass.m p10,p0 = atan2_Y, 0xc3     // Test for y=nan
            nop.i 999
 }
-;;
-
 { .mfi
            nop.m 999
-           fmerge.s     atan2_absX = f0,atan2_X
+           fma.s1       atan2_ysq  = atan2_Y,atan2_Y,f0
            nop.i 999
 }
 ;;
 
-// p10 Y NAN, quiet and return
 { .mfi
-           ldfe         atan2_P10  = [EXP_AD_P1],16
-           fmerge.s     atan2_sgnY = atan2_Y,f1
+           add  EXP_AD_P2 = 0xd0,EXP_AD_P1
+           fclass.m p12,p0 = atan2_X, 0xc3     // Test for x nan
            nop.i 999
 }
-{ .mfb
-           nop.m 999
-(p10)      fma.d f8 = f8,f9,f0 
-(p10)      br.ret.spnt b0
 ;;
-}
 
 
-{ .mmf
+// p10 Y NAN, quiet and return
+{ .mfi
            ldfe         atan2_P11  = [EXP_AD_P1],16
-           ldfe         atan2_P20  = [EXP_AD_P2],16
-           fmerge.s     atan2_sgnX = atan2_X,f1
+           fmerge.s     atan2_sgnY = atan2_Y,f1
+           nop.i 999
+}
+{ .mfb
+           ldfe         atan2_P21  = [EXP_AD_P2],16
+(p10)      fma.d.s0 f8 = atan2_Y,atan2_X,f0   // If y=nan, result quietized y
+(p10)      br.ret.spnt b0        // Exit if y=nan
 ;;
 }
 
 
-{ .mfi 
-           ldfe         atan2_P8   = [EXP_AD_P1],16
+{ .mfi
+           ldfe         atan2_P10  = [EXP_AD_P1],16
            fma.s1       atan2_z1_X = atan2_u1_X, atan2_Y, f0
            nop.i 999
 }
-{ .mfi 
-
-           ldfe         atan2_P21  = [EXP_AD_P2],16
-           fma.s1       atan2_z1_Y = atan2_u1_Y, atan2_X, f0
+{ .mfi
+           ldfe         atan2_P20  = [EXP_AD_P2],16
+           fnma.s1      atan2_B1X  = atan2_u1_X, atan2_X, atan2_two
            nop.i 999
 ;;
 }
 
-{ .mfi 
+{ .mfi
            ldfe         atan2_P9   = [EXP_AD_P1],16
-           fnma.s1      atan2_B1X  = atan2_u1_X, atan2_X, atan2_two
+           fma.s1       atan2_z1_Y = atan2_u1_Y, atan2_X, f0
            nop.i 999
 }
-{ .mfi 
-
-           ldfe         atan2_P4   = [EXP_AD_P2],16
+{ .mfi
+           ldfe         atan2_P19  = [EXP_AD_P2],16
            fnma.s1      atan2_B1Y  = atan2_u1_Y, atan2_Y, atan2_two
            nop.i 999
-;;
 }
-
-// p6 (atan2_sT) true if swap
-// p7 (atan2_sF) true if no swap
-// p11 ==> Y !NAN;  X NAN?
+;;
 
 { .mfi
-           ldfe         atan2_P5   = [EXP_AD_P1],16
-//           fcmp.eq.unc.s1 atan2_sF,atan2_sT    = atan2_Umax, atan2_X
-           fcmp.eq.unc.s1 p7,p6    = atan2_Umax, atan2_X
+           ldfe         atan2_P8   = [EXP_AD_P1],16
+           fma.s1       atan2_z2_X = atan2_u1_X, atan2_ysq, f0
            nop.i 999
 }
 { .mfi
-           ldfe         atan2_P6   = [EXP_AD_P2],16
-(p11)      fclass.m.unc p12,p13    = f9, 0xc3
+           ldfe         atan2_P18  = [EXP_AD_P2],16
+           fma.s1       atan2_z2_Y = atan2_u1_Y, atan2_xsq, f0
            nop.i 999
-;;
 }
-
-{ .mmf
-           ldfe         atan2_P7   = [EXP_AD_P1],16
-           ldfe         atan2_P16  = [EXP_AD_P2],16
-           famin.s1     atan2_Vmin =  f8,f9
 ;;
-}
 
-// p8 true if X positive
-// p9 true if X negative
-// both are false is swap is true
+// p10 ==> x  inf     y ?
+// p11 ==> x !inf     y ?
 { .mfi
-           ldfe         atan2_P17  = [EXP_AD_P1],16
-//(atan2_sF) fcmp.eq.unc.s1 p8,p9    = atan2_sgnX,f1
-(p7) fcmp.eq.unc.s1 p8,p9    = atan2_sgnX,f1
+           ldfe         atan2_P7   = [EXP_AD_P1],16
+           fclass.m p10,p11 = atan2_X, 0x23    // test for x inf
            nop.i 999
 }
-{ .mfi
-           ldfe         atan2_P18  = [EXP_AD_P2],16
-           fma.s1       atan2_sgnXY     = atan2_sgnX, atan2_sgnY, f0 
-           nop.i 999
+{ .mfb
+           ldfe         atan2_P17  = [EXP_AD_P2],16
+(p12)      fma.d.s0        f8 = atan2_X,atan2_Y,f0     // If x nan, result quiet x
+(p12)      br.ret.spnt b0                 // Exit for x nan
 ;;
 }
 
+// p6 true if swap,    means |y| >  |x|    or ysq > xsq
+// p7 true if no swap, means |x| >= |y|    or xsq >= ysq
+{ .mmf
+           ldfe         atan2_P6   = [EXP_AD_P1],16
+           ldfe         atan2_P16  = [EXP_AD_P2],16
+           fcmp.ge.s1 p7,p6    = atan2_xsq, atan2_ysq
+;;
+}
 
 { .mfi
-           ldfe         atan2_P19  = [EXP_AD_P1],16
-//(atan2_sF) fma.s1       atan2_wp   = atan2_z1_X, atan2_z1_X, f0
-(p7) fma.s1       atan2_wp   = atan2_z1_X, atan2_z1_X, f0
+           ldfe         atan2_P5   = [EXP_AD_P1],16
+           fma.s1       atan2_wp_X   = atan2_z1_X, atan2_z1_X, f0
            nop.i 999
 }
 { .mfi
-           ldfe         atan2_P12  = [EXP_AD_P2],16
-//(atan2_sT) fma.s1       atan2_wp   = atan2_z1_Y, atan2_z1_Y, f0
-(p6) fma.s1       atan2_wp   = atan2_z1_Y, atan2_z1_Y, f0
+           ldfe         atan2_P15       = [EXP_AD_P2],16
+           fma.s1       atan2_B1sq_X = atan2_B1X, atan2_B1X, f0
            nop.i 999
 ;;
 }
 
-
 { .mfi
-           ldfe         atan2_P13  = [EXP_AD_P1],16
-//(atan2_sF) fma.s1       atan2_z         = atan2_z1_X, atan2_B1X, f0
-(p7) fma.s1       atan2_z         = atan2_z1_X, atan2_B1X, f0
+           ldfe         atan2_P4   = [EXP_AD_P1],16
+(p6)       fma.s1       atan2_wp_Y   = atan2_z1_Y, atan2_z1_Y, f0
            nop.i 999
 }
 { .mfi
            ldfe         atan2_P14  = [EXP_AD_P2],16
-//(atan2_sT) fma.s1       atan2_z         = atan2_z1_Y, atan2_B1Y, f0
-(p6) fma.s1       atan2_z         = atan2_z1_Y, atan2_B1Y, f0
+(p6)       fma.s1       atan2_B1sq_Y = atan2_B1Y, atan2_B1Y, f0
            nop.i 999
 ;;
 }
 
-
 { .mfi
-           ldfe         atan2_P15       = [EXP_AD_P1],16
-//(atan2_sF) fma.s1       atan2_B1sq = atan2_B1X, atan2_B1X, f0
-(p7) fma.s1       atan2_B1sq = atan2_B1X, atan2_B1X, f0
+           ldfe         atan2_P3        = [EXP_AD_P1],16
+(p6)       fma.s1       atan2_E         = atan2_z2_Y, atan2_B1Y, atan2_Y
            nop.i 999
 }
 { .mfi
-           ldfe         atan2_P0        = [EXP_AD_P2],16
-//(atan2_sT) fma.s1       atan2_B1sq = atan2_B1Y, atan2_B1Y, f0
-(p6) fma.s1       atan2_B1sq = atan2_B1Y, atan2_B1Y, f0
+           ldfe         atan2_P13  = [EXP_AD_P2],16
+(p7)       fma.s1       atan2_E         = atan2_z2_X, atan2_B1X, atan2_X
            nop.i 999
 ;;
 }
 
 
-// p12 ==> X NAN, quiet and return
 { .mfi
-           ldfe         atan2_P1        = [EXP_AD_P1],16
-           fmerge.s     atan2_Umax      = f0,atan2_Umax
+           ldfe         atan2_P2        = [EXP_AD_P1],16
+(p6)       fma.s1       atan2_z         = atan2_z1_Y, atan2_B1Y, f0
            nop.i 999
 }
-{ .mfb
-           ldfe         atan2_P2        = [EXP_AD_P2],16
-(p12)      fma.d        f8 = f9,f8,f0
-(p12)      br.ret.spnt b0
+{ .mfi
+           ldfe         atan2_P12  = [EXP_AD_P2],16
+(p7)       fma.s1       atan2_z         = atan2_z1_X, atan2_B1X, f0
+           nop.i 999
 ;;
 }
 
 
-// p10 ==> x  inf     y ?
-// p11 ==> x !inf     y ?
 { .mfi
-           ldfe         atan2_P3        = [EXP_AD_P1],16
-           fmerge.s     atan2_Vmin      = f0,atan2_Vmin
+           ldfe         atan2_P1        = [EXP_AD_P1],16
+           fcmp.eq.s0  p14,p15=atan2_X,atan2_Y  // Dummy for denorm and invalid
            nop.i 999
 }
-{ .mfi
-           ldfe         atan2_Pi_by_2   = [EXP_AD_P2],16
-           fclass.m.unc p10,p11 = f9, 0x23
-           nop.i 999
+{ .mlx
+           ldfe         atan2_P22       = [EXP_AD_P2],16
+           movl         rsig_near_one = 0x8000000000000001 // signif near 1.0
 ;;
 }
 
 
+// p12 ==> x  inf     y inf
+// p13 ==> x  inf     y !inf
 { .mmf
-           ldfe         atan2_P22       = [EXP_AD_P1],16
-           ldfe         atan2_pi        = [EXP_AD_P2],16
-           nop.f 999
+           ldfe         atan2_P0        = [EXP_AD_P1],16
+           ldfe         atan2_pi_by_2   = [EXP_AD_P2],16
+(p10)      fclass.m.unc p12,p13 = atan2_Y, 0x23  // x inf, test if y inf
 ;;
 }
 
 { .mfi
-           nop.m 999 
-           fcmp.eq.s0  p12,p13=f9,f8   // Dummy to catch denormal and invalid
+           ldfe         atan2_pi        = [EXP_AD_P1],16
+(p6)       fma.s1       atan2_w         = atan2_wp_Y, atan2_B1sq_Y,f0
            nop.i 999
-;;
 }
-
-
 { .mfi
-           ldfe         atan2_pi_by_4       = [EXP_AD_P1],16
-//(atan2_sT) fmerge.ns    atan2_sgnXY     = atan2_sgnXY, atan2_sgnXY
-(p6) fmerge.ns    atan2_sgnXY     = atan2_sgnXY, atan2_sgnXY
+           ldfe         atan2_pi_by_4       = [EXP_AD_P2],16
+(p7)       fma.s1       atan2_w         = atan2_wp_X, atan2_B1sq_X,f0
            nop.i 999
+;;
 }
+
 { .mfi
            ldfe         atan2_3pi_by_4       = [EXP_AD_P2],16
-           fma.s1       atan2_w         = atan2_wp, atan2_B1sq,f0
+(p11)      fclass.m.unc p9,p0 = atan2_Y, 0x23  // x not inf, test if y inf
            nop.i 999
 ;;
 }
 
-// p12 ==> x  inf     y inf
-// p13 ==> x  inf     y !inf
+{ .mfi
+           setf.sig      atan2_sig_near_one = rsig_near_one
+(p12)      fcmp.gt.unc.s1 p10,p11 = atan2_X,f0 // x inf, y inf, test if x +inf
+           nop.i 999
+}
 { .mfi
            nop.m 999
-           fmerge.s     atan2_z         = f0, atan2_z
+(p6)       fnma.s1       atan2_gV        = atan2_Y, atan2_z, atan2_X
            nop.i 999
 ;;
 }
 
 { .mfi
-           nop.m 99
-(p10)      fclass.m.unc p12,p13 = f8, 0x23
+           nop.m 999
+           frcpa.s1     atan2_F,p0     = f1, atan2_E
            nop.i 999
 }
 { .mfi
-           nop.m 99
-(p11)      fclass.m.unc p14,p15 = f8, 0x23
+           nop.m 999
+(p7)       fnma.s1       atan2_gV        = atan2_X, atan2_z, atan2_Y
            nop.i 999
 ;;
 }
 
+// p13 ==> x  inf     y !inf
 { .mfi
            nop.m 999
-(p12)      fcmp.eq.unc.s1 p10,p11       = atan2_sgnX,f1
-           nop.i 99
-;;
+(p13)      fcmp.gt.unc.s1 p14,p15 = atan2_X,f0 // x inf, y !inf, test if x +inf
+           nop.i 999
 }
-
-
 { .mfb
-           mov atan2_GR_sml_exp = 0x1  // Small exponent for making small norm
-(p14)      fma.d       f8 = atan2_sgnY, atan2_Pi_by_2, f0
-(p14)      br.ret.spnt b0
+           nop.m 999
+(p9)       fma.d.s0  f8 = atan2_sgnY, atan2_pi_by_2, f0  // +-pi/2 if x !inf, y inf
+(p9)       br.ret.spnt b0      // exit if x not inf, y inf, result is +-pi/2
 ;;
 }
 
-// Make a very small normal in case need to force inexact and underflow
 { .mfi
-           setf.exp atan2_sml_norm = atan2_GR_sml_exp
+           nop.m 999
            fma.s1       atan2_V13       = atan2_w, atan2_P11, atan2_P10
            nop.i 999
 }
@@ -626,58 +592,58 @@ __ieee754_atan2:
 ;;
 }
 
-
 { .mfi
            nop.m 999
-           fma.s1       atan2_E         = atan2_Vmin, atan2_z, atan2_Umax
+           fma.s1       atan2_V11       = atan2_w, atan2_P9, atan2_P8
            nop.i 999
 }
 { .mfi
            nop.m 999
-           fnma.s1      atan2_gamma     = atan2_Umax, atan2_z, f1
+           fma.s1       atan2_V12       = atan2_w, atan2_w, f0
            nop.i 999
 ;;
 }
 
 { .mfi
            nop.m 999
-           fma.s1       atan2_V11       = atan2_w, atan2_P9, atan2_P8
+           fma.s1       atan2_V8        = atan2_w, atan2_P7 , atan2_P6
            nop.i 999
 }
 { .mfi
            nop.m 999
-           fma.s1       atan2_V12       = atan2_w, atan2_w, f0
+           fma.s1       atan2_W8        = atan2_w, atan2_P19, atan2_P18
            nop.i 999
 ;;
 }
 
 { .mfi
            nop.m 999
-           fma.s1       atan2_V7        = atan2_w, atan2_P5 , atan2_P4 
+           fnma.s1      atan2_alpha     = atan2_E, atan2_F, f1
            nop.i 999
 }
 { .mfi
            nop.m 999
-           fma.s1       atan2_V8        = atan2_w, atan2_P7 , atan2_P6 
+           fnma.s1      atan2_alpha_1   = atan2_E, atan2_F, atan2_two
            nop.i 999
 ;;
 }
 
+
 { .mfi
            nop.m 999
-           fma.s1       atan2_W7        = atan2_w, atan2_P17, atan2_P16 
+           fma.s1       atan2_V7        = atan2_w, atan2_P5 , atan2_P4
            nop.i 999
 }
 { .mfi
            nop.m 999
-           fma.s1       atan2_W8        = atan2_w, atan2_P19, atan2_P18
+           fma.s1       atan2_W7        = atan2_w, atan2_P17, atan2_P16
            nop.i 999
 ;;
 }
 
 { .mfi
            nop.m 999
-           fma.s1       atan2_W3        = atan2_w, atan2_P13, atan2_P12 
+           fma.s1       atan2_V4        = atan2_w, atan2_P3 , atan2_P2
            nop.i 999
 }
 { .mfi
@@ -689,55 +655,55 @@ __ieee754_atan2:
 
 { .mfi
            nop.m 999
-           fma.s1       atan2_V3        = atan2_w, atan2_P1 , atan2_P0 
+           fma.s1       atan2_V3        = atan2_w, atan2_P1 , atan2_P0
            nop.i 999
 }
 { .mfi
            nop.m 999
-           fma.s1       atan2_V4        = atan2_w, atan2_P3 , atan2_P2
+           fma.s1       atan2_W3        = atan2_w, atan2_P13, atan2_P12
            nop.i 999
 ;;
 }
 
 { .mfi
            nop.m 999
-           fma.s1       atan2_zcub      = atan2_z, atan2_w, f0
+           fma.s1       atan2_V10       = atan2_V12, atan2_V13, atan2_V11
            nop.i 999
 }
 { .mfi
            nop.m 999
-           fnma.s1       atan2_gV        = atan2_Umax, atan2_z, atan2_Vmin 
+           fma.s1       atan2_gVF       = atan2_gV, atan2_F, f0
            nop.i 999
 ;;
 }
 
 { .mfi
            nop.m 999
-           frcpa.s1     atan2_F,p15     = f1, atan2_E
+           fma.s1       atan2_alpha_sq  = atan2_alpha, atan2_alpha, f0
            nop.i 999
 }
 { .mfi
            nop.m 999
-           fma.s1       atan2_V10       = atan2_V12, atan2_V13, atan2_V11
+           fma.s1       atan2_Cp        = atan2_alpha, atan2_alpha_1, f1
            nop.i 999
 ;;
 }
 
 { .mfi
            nop.m 999
-           fma.s1       atan2_V6        = atan2_V12, atan2_V8 , atan2_V7 
+           fma.s1       atan2_V9        = atan2_V12, atan2_V12, f0
            nop.i 999
 }
 { .mfi
            nop.m 999
-           fma.s1       atan2_V9        = atan2_V12, atan2_V12, f0
+           fma.s1       atan2_W10       = atan2_V12, atan2_P22 , atan2_W11
            nop.i 999
 ;;
 }
 
 { .mfi
            nop.m 999
-           fma.s1       atan2_W10       = atan2_V12, atan2_P22 , atan2_W11
+           fma.s1       atan2_V6        = atan2_V12, atan2_V8 , atan2_V7
            nop.i 999
 }
 { .mfi
@@ -749,65 +715,47 @@ __ieee754_atan2:
 
 { .mfi
            nop.m 999
-           fma.s1       atan2_W2        = atan2_V12, atan2_W4  , atan2_W3
+           fma.s1       atan2_V2        = atan2_V12, atan2_V4 , atan2_V3
            nop.i 999
 }
 { .mfi
            nop.m 999
-           fma.s1       atan2_V2        = atan2_V12, atan2_V4 , atan2_V3
+           fma.s1       atan2_W2        = atan2_V12, atan2_W4  , atan2_W3
            nop.i 999
 ;;
 }
 
-
-// Both X and Y are INF
-// p10 ==> X +
-// p11 ==> X -
-.pred.rel "mutex",p10,p11
-{ .mfb
-           nop.m 999
-(p10)      fma.d       f8              = atan2_sgnY, atan2_pi_by_4, f0
-(p10)      br.ret.spnt b0
-}
-{ .mfb
-           nop.m 999
-(p11)      fma.d       f8              = atan2_sgnY, atan2_3pi_by_4, f0
-(p11)      br.ret.spnt b0
-;;
-}
-
-
-.pred.rel "mutex",p8,p9,p6
+// p8 ==> y   0     x?
+// p9 ==> y  !0     x?
 { .mfi
            nop.m 999
-           fnma.s1      atan2_alpha     = atan2_E, atan2_F, f1
+           fclass.m p8,p9 = atan2_Y, 0x07  // Test for y=0
            nop.i 999
 }
 { .mfi
            nop.m 999
-           fnma.s1      atan2_alpha_1   = atan2_E, atan2_F, atan2_two
+           fma.s1       atan2_zcub      = atan2_z, atan2_w, f0
            nop.i 999
 ;;
 }
 
-
 { .mfi
            nop.m 999
-//(atan2_sT) fmerge.s     atan2_P         = atan2_Y, atan2_Pi_by_2
-(p6) fmerge.s     atan2_P         = atan2_Y, atan2_Pi_by_2
+           fma.s1       atan2_alpha_cub = atan2_alpha, atan2_alpha_sq, f0
            nop.i 999
 }
 { .mfi
            nop.m 999
-           fma.s1       atan2_gVF       = atan2_gV, atan2_F, f0
+           fma.s1       atan2_C         = atan2_gVF, atan2_Cp, f0
            nop.i 999
 ;;
 }
 
-
+// p12 ==>  y0     x0
+// p13 ==>  y0     x!0
 { .mfi
            nop.m 999
-           fma.s1       atan2_V5        = atan2_V9, atan2_V10, atan2_V6
+(p8)       fclass.m.unc p12,p13 = atan2_X, 0x07  // y=0, test if x is 0
            nop.i 999
 }
 { .mfi
@@ -817,11 +765,9 @@ __ieee754_atan2:
 ;;
 }
 
-
-
 { .mfi
            nop.m 999
-(p8)       fmerge.s     atan2_P         = atan2_sgnY, f0
+           fma.s1       atan2_V5        = atan2_V9, atan2_V10, atan2_V6
            nop.i 999
 }
 { .mfi
@@ -832,249 +778,214 @@ __ieee754_atan2:
 }
 
 
-
-
+// p9 ==>  y!0    x0
 { .mfi
            nop.m 999
-(p9)       fmerge.s     atan2_P         = atan2_sgnY, atan2_pi
+(p9)       fclass.m.unc p9,p0 = atan2_X, 0x07  // y not 0, test if x is 0
            nop.i 999
+}
+// p10 ==> X +INF, Y +-INF
+{ .mfb
+           nop.m 999
+(p10)      fma.d.s0       f8 = atan2_sgnY, atan2_pi_by_4, f0 // x=+inf, y=inf
+(p10)      br.ret.spnt b0          // Exit for x=+inf, y=inf, result is +-pi/4
 ;;
 }
 
-
+.pred.rel "mutex",p11,p14
 { .mfi
            nop.m 999
-           fma.s1       atan2_alpha_sq  = atan2_alpha, atan2_alpha, f0  
+(p14)      fmerge.s    f8 = atan2_sgnY, f0 // x=+inf, y !inf, result +-0
            nop.i 999
 }
-{ .mfi
+// p11 ==> X -INF, Y +-INF
+{ .mfb
            nop.m 999
-           fma.s1       atan2_Cp        = atan2_alpha, atan2_alpha_1, f1  
-           nop.i 999
+(p11)      fma.d.s0       f8 = atan2_sgnY, atan2_3pi_by_4, f0 // x=-inf, y=inf
+(p11)      br.ret.spnt b0          // Exit for x=-inf, y=inf, result is +-3pi/4
 ;;
 }
 
-
 { .mfi
            nop.m 999
-           fma.s1       atan2_V1        = atan2_V9, atan2_V5, atan2_V2
+(p13)      fcmp.gt.unc.s1 p10,p11 = atan2_X,f0 // x not 0, y=0, test if x>0
            nop.i 999
 }
-{ .mfi
+{ .mfb
            nop.m 999
-           fma.s1       atan2_W12       = atan2_V9, atan2_W12, f0
-           nop.i 999
+           fma.s1       atan2_d         = atan2_alpha_cub, atan2_C, atan2_C
+(p14)      br.ret.spnt b0         // Exit if x=+inf, y !inf, result +-0
 ;;
 }
 
-
-// p13 ==> x  inf     y !inf
 { .mfi
            nop.m 999
-           fma.s1       atan2_W1        = atan2_V9, atan2_W5, atan2_W2
+           fma.s1       atan2_W12       = atan2_V9, atan2_W12, f0
            nop.i 999
 }
-{ .mfi
+{ .mfb
            nop.m 999
-(p13)      fcmp.eq.unc.s1 p10,p11       = atan2_sgnX,f1
-           nop.i 999
+(p9)       fma.d.s0       f8 = atan2_sgnY, atan2_pi_by_2, f0 // x=0, y not 0
+(p9)       br.ret.spnt b0      // Exit if x=0 and y not 0, result is +-pi/2
 ;;
 }
 
-
 { .mfi
            nop.m 999
-           fma.s1       atan2_alpha_cub = atan2_alpha, atan2_alpha_sq, f0
+           fma.s1       atan2_V1        = atan2_V9, atan2_V5, atan2_V2
            nop.i 999
 }
-{ .mfi
+{ .mfb
            nop.m 999
-           fma.s1       atan2_C         = atan2_gVF, atan2_Cp, f0
-           nop.i 999
+           fma.s1       atan2_W1        = atan2_V9, atan2_W5, atan2_W2
+(p12)      br.spnt ATAN2_ERROR            // Branch if x=0 and y=0
 ;;
 }
 
-.pred.rel "mutex",p10,p11 
-// x inf y !inf
-{ .mfb
+{ .mfi
            nop.m 999
-(p10)      fmerge.s     f8              = atan2_sgnY, f0
-(p10)      br.ret.spnt b0
+(p10)      fmerge.s     f8              = atan2_sgnY, f0  // +-0 if x>0, y=0
+           nop.i 999
 }
 { .mfb
            nop.m 999
-(p11)      fma.d        f8              = atan2_sgnY, atan2_pi, f0
-(p11)      br.ret.spnt b0
+(p11)      fma.d.s0        f8 = atan2_sgnY, atan2_pi, f0 // +-pi if x<0, y=0
+(p13)      br.ret.spnt b0      // Exit if x!0 and y=0
 ;;
 }
 
 
-
-// p10 ==> y   0     x?
-// p11 ==> y  !0     x?
 { .mfi
            nop.m 999
-           fclass.m.unc p10,p11 = f8, 0x07
+           fma.s1       atan2_pd        = atan2_P0, atan2_d, f0
            nop.i 999
-;;
 }
-
 { .mfi
            nop.m 999
-(p8)       fmerge.s     atan2_sml_norm  = atan2_sgnY, atan2_sml_norm
+           fma.s1       atan2_dsq       = atan2_d, atan2_d, f0
            nop.i 999
 ;;
 }
 
+
 { .mfi
            nop.m 999
-           fma.s1       atan2_Pp        = atan2_W12, atan2_W1, atan2_V1
+           fmerge.se    atan2_near_one = f1, atan2_sig_near_one // Const ~1.0
            nop.i 999
 }
 { .mfi
            nop.m 999
-           fma.s1       atan2_d         = atan2_alpha_cub, atan2_C, atan2_C
+           fma.s1       atan2_Pp        = atan2_W12, atan2_W1, atan2_V1
            nop.i 999
 ;;
 }
 
-// p12 ==>  y0     x0
-// p13 ==>  y0     x!0
-// p14 ==>  y!0    x0
-// p15 ==>  y!0    x!0
-{ .mfi
-           nop.m 999
-(p10)      fclass.m.unc p12,p13 = f9, 0x07 
-           nop.i 999
-}
+// p8 true if no swap and X positive
+// p9 true if no swap and X negative
+// both are false is swap is true
 { .mfi
            nop.m 999
-(p11)      fclass.m.unc p14,p15 = f9, 0x07 
+(p7)       fcmp.ge.unc.s1 p8,p9    = atan2_X,f0
            nop.i 999
-;;
 }
-
-
-
-
 { .mfb
            nop.m 999
-(p13)      fcmp.eq.unc.s1 p10,p11       = atan2_sgnX,f1
-(p12)      br.spnt ATAN2_ERROR
+(p15)      fma.d.s0        f8              = atan2_sgnY, atan2_pi, f0
+(p15)      br.ret.spnt b0         // Exit if x=-inf, y !inf, result +-pi
 ;;
 }
 
-
-
 { .mfi
            nop.m 999
-           fma.s1       atan2_pd        = atan2_P0, atan2_d, f0
+           fma.s1       atan2_sgn_pi_by_2 = atan2_pi_by_2, atan2_sgnY, f0
            nop.i 999
 }
 { .mfi
            nop.m 999
-           fma.s1       atan2_dsq       = atan2_d, atan2_d, f0
+           fma.s1       atan2_A_lo      = atan2_pd, atan2_dsq, atan2_d
            nop.i 999
 ;;
 }
 
+
 { .mfi
            nop.m 999
-           fma.s1       atan2_A_hi      = atan2_zcub, atan2_Pp, atan2_z
+           fma.s1       atan2_sgn_pi = atan2_pi, atan2_sgnY, f0
            nop.i 999
 }
-{ .mfb
+{ .mfi
            nop.m 999
-(p14)      fma.d       f8 = atan2_sgnY, atan2_Pi_by_2, f0
-(p14)      br.ret.spnt b0                
+           fma.s1       atan2_A_hi      = atan2_zcub, atan2_Pp, atan2_z
+           nop.i 999
 ;;
 }
 
 
-
-{ .mfb
-           nop.m 999
-(p10)      fmerge.s     f8              = atan2_sgnY, f0
-(p10)      br.ret.spnt b0
-}
-{ .mfb
+// For |Y| <= |X| and X > 0, force inexact in case A_lo is zero
+{ .mfi
            nop.m 999
-(p11)      fma.d        f8              = atan2_sgnY, atan2_pi, f0
-(p11)      br.ret.spnt b0
+(p8)       fmpy.s0      atan2_tmp       = atan2_P22, atan2_P22
+           nop.i 999
 ;;
 }
 
-
-
 { .mfi
            nop.m 999
-           fma.s1       atan2_A_lo      = atan2_pd, atan2_dsq, atan2_d
+           fma.s1       atan2_A         = atan2_A_hi, f1, atan2_A_lo
            nop.i 999
-;;
 }
-
-
+// For |Y| <= |X| and X > 0, result is A_hi + A_lo
 { .mfi
            nop.m 999
-           fma.s1       atan2_A         = atan2_A_hi, f1, atan2_A_lo
+(p8)       fma.d.s0       f8         = atan2_A_hi, f1, atan2_A_lo
            nop.i 999
 ;;
 }
 
-// Force inexact and possibly underflow if very small results
+.pred.rel "mutex",p6,p9
+// We perturb A by multiplying by 1.0+1ulp as we produce the result
+// in order to get symmetrically rounded results in directed rounding modes.
+// If we don't do this, there are a few cases where the trailing 11 bits of
+// the significand of the result, before converting to double, are zero.  These
+// cases do not round symmetrically in round to +infinity or round to -infinity.
+// The perturbation also insures that the inexact flag is set.
+// For |Y| > |X|, result is  +- pi/2 - (A_hi + A_lo)
 { .mfi
            nop.m 999
-(p8)       fma.d        atan2_FR_tmp    = atan2_sgnXY, atan2_A, atan2_sml_norm
+(p6)       fnma.d.s0      f8        = atan2_A, atan2_near_one, atan2_sgn_pi_by_2
            nop.i 999
 }
+// For |Y| <= |X|, and X < 0, result is  +- pi + (A_hi + A_lo)
 { .mfb
            nop.m 999
-           fma.d        f8              = atan2_sgnXY, atan2_A, atan2_P
-           br.ret.sptk  b0     
+(p9)       fma.d.s0        f8        = atan2_A, atan2_near_one, atan2_sgn_pi
+           br.ret.sptk  b0
 ;;
 }
 
 ATAN2_ERROR:
-
+// Here if x=0 and y=0
 { .mfi
           nop.m 999
-          fcmp.eq.unc.s1 p10,p11       = atan2_sgnX,f1
+          fclass.m p10,p11       = atan2_X,0x05  // Test if x=+0
           nop.i 999
 }
 ;;
 
 { .mfi
-          mov        atan2_GR_tag     = 37 
-(p10)     fmerge.s     f10             = atan2_sgnY, f0
-          nop.i 999 
+          mov        atan2_GR_tag     = 37
+(p10)     fmerge.s     f10             = atan2_sgnY, f0 // x=+0, y=0
+          nop.i 999
 }
 { .mfi
           nop.m 999
-(p11)     fma.d        f10            = atan2_sgnY, atan2_pi, f0
+(p11)     fma.d.s0        f10            = atan2_sgnY, atan2_pi, f0 // x=-0, y=0
           nop.i 999
 ;;
 }
-.endp atan2#
-ASM_SIZE_DIRECTIVE(atan2#)
-
-
-// Stack operations when calling error support.
-//       (1)               (2)                          (3) (call)              (4)
-//   sp   -> +          psp -> +                     psp -> +                   sp -> +
-//           |                 |                            |                         |
-//           |                 | <- GR_Y               R3 ->| <- GR_RESULT            | -> f8
-//           |                 |                            |                         |
-//           | <-GR_Y      Y2->|                       Y2 ->| <- GR_Y                 |
-//           |                 |                            |                         |
-//           |                 | <- GR_X               X1 ->|                         |
-//           |                 |                            |                         |
-//  sp-64 -> +          sp ->  +                     sp ->  +                         +
-//    save ar.pfs          save b0                                               restore gp
-//    save gp                                                                    restore ar.pfs
+GLOBAL_IEEE754_END(atan2)
 
-
-.proc __libm_error_region
-__libm_error_region:
+LOCAL_LIBM_ENTRY(__libm_error_region)
 .prologue
 // (1)
 { .mfi
@@ -1102,19 +1013,19 @@ __libm_error_region:
 .body
 // (3)
 { .mib
-        stfd [GR_Parameter_X] = f9                   // STORE Parameter 1 on stack
+        stfd [GR_Parameter_X] = f9            // STORE Parameter 1 on stack
         add   GR_Parameter_RESULT = 0,GR_Parameter_Y // Parameter 3 address
-        nop.b 0                                 
+        nop.b 0
 }
 { .mib
-        stfd [GR_Parameter_Y] = f10                  // STORE Parameter 3 on stack
+        stfd [GR_Parameter_Y] = f10           // STORE Parameter 3 on stack
         add   GR_Parameter_Y = -16,GR_Parameter_Y
-        br.call.sptk b0=__libm_error_support#        // Call error handling function
+        br.call.sptk b0=__libm_error_support# // Call error handling function
 };;
 { .mmi
-        nop.m 0
-        nop.m 0
         add   GR_Parameter_RESULT = 48,sp
+        nop.m 0
+        nop.i 0
 };;
 
 // (4)
@@ -1130,8 +1041,7 @@ __libm_error_region:
         br.ret.sptk     b0                     // Return
 };;
 
-.endp __libm_error_region
-ASM_SIZE_DIRECTIVE(__libm_error_region)
+LOCAL_LIBM_END(__libm_error_region)
 
 .type   __libm_error_support#,@function
 .global __libm_error_support#
diff --git a/sysdeps/ia64/fpu/e_atan2f.S b/sysdeps/ia64/fpu/e_atan2f.S
index 03a4fed82f..c483a7ad34 100644
--- a/sysdeps/ia64/fpu/e_atan2f.S
+++ b/sysdeps/ia64/fpu/e_atan2f.S
@@ -1,10 +1,10 @@
 .file "atan2f.s"
 
-// Copyright (C) 2000, 2001, Intel Corporation
+
+// Copyright (c) 2000 - 2003, Intel Corporation
 // All rights reserved.
 //
-// Contributed 6/1/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story,
-// and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation.
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
 //
 // Redistribution and use in source and binary forms, with or without
 // modification, are permitted provided that the following conditions are
@@ -20,7 +20,7 @@
 // * The name of Intel Corporation may not be used to endorse or promote
 // products derived from this software without specific prior written
 // permission.
-//
+
 // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
 // "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
@@ -35,18 +35,21 @@
 //
 // Intel Corporation is the author of this code, and requests that all
 // problem reports or change requests be submitted to it directly at
-// http://developer.intel.com/opensource.
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
 
 // History
 //==============================================================
-// 6/01/00  Initial version
-// 8/15/00  Bundle added after call to __libm_error_support to properly
+// 06/01/00 Initial version
+// 08/15/00 Bundle added after call to __libm_error_support to properly
 //          set [the previously overwritten] GR_Parameter_RESULT.
-// 8/17/00  Changed predicate register macro-usage to direct predicate
+// 08/17/00 Changed predicate register macro-usage to direct predicate
 //          names due to an assembler bug.
-// 1/05/01  Fixed flag settings for denormal input.
-// 1/19/01  Added documentation
-// 1/30/01  Improved speed
+// 01/05/01 Fixed flag settings for denormal input.
+// 01/19/01 Added documentation
+// 01/30/01 Improved speed
+// 02/06/02 Corrected .section statement
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 02/06/03 Reordered header: .section, .global, .proc, .align
 
 // Description
 //=========================================
@@ -226,7 +229,6 @@
 // atan2f(+-0/+-0) sets single error tag to 38
 // These are domain errors.
 
-#include "libm_support.h"
 
 //
 // Assembly macros
@@ -324,22 +326,20 @@ atan2f_poly_atan_U     = f88
 //atan2f_Pred_Xneg     = p9 //  x  <   0
 
 
-.data
+RODATA
 
 .align 16
 
-atan2f_coef_table1:
-ASM_TYPE_DIRECTIVE(atan2f_coef_table1,@object)
+LOCAL_OBJECT_START(atan2f_coef_table1)
 data8 0xBFD5555512191621 // p1
 data8 0x3F522E5D33BC9BAA // p10
 data8 0xBFA6E10BA401393F // p7
 data8 0x3FB142A73D7C54E3 // p6
 data8 0xBFC2473C5145EE38 // p3
 data8 0x3FC9997E7AFBFF4E // p2
-ASM_SIZE_DIRECTIVE(atan2f_coef_table1)
+LOCAL_OBJECT_END(atan2f_coef_table1)
 
-atan2f_coef_table2:
-ASM_TYPE_DIRECTIVE(atan2f_coef_table2,@object)
+LOCAL_OBJECT_START(atan2f_coef_table2)
 data8 0xBF7DEAADAA336451 // p9
 data8 0x3F97105B4160F86B // p8
 data8 0xBFB68EED6A8CFA32 // p5
@@ -348,29 +348,12 @@ data8 0x3ff921fb54442d18 // pi/2
 data8 0x400921fb54442d18 // pi
 data8 0x3fe921fb54442d18 // pi/4
 data8 0x4002d97c7f3321d2 // 3pi/4
-ASM_SIZE_DIRECTIVE(atan2f_coef_table2)
-
+LOCAL_OBJECT_END(atan2f_coef_table2)
 
 
-.global atan2f
-#ifdef _LIBC
-.global __atan2f
-.global __ieee754_atan2f
-#endif
-
-.text
-.align 32
-
-atan2f:
-.proc  atan2f
-#ifdef _LIBC
-.proc  __atan2f
-__atan2f:
-.proc  __ieee754_atan2f
-__ieee754_atan2f:
-#endif
 
- 
+.section .text
+GLOBAL_IEEE754_ENTRY(atan2f)
  
 {     .mfi 
      alloc      r32           = ar.pfs,1,5,4,0
@@ -724,7 +707,7 @@ ATAN2F_XY_INF_NAN_ZERO:
 }
 { .mfb
       nop.m 999
-(p10) fma.s f8  = f9,f8,f0          // Result quietized y if y is nan
+(p10) fma.s.s0 f8  = f9,f8,f0          // Result quietized y if y is nan
 (p10) br.ret.spnt b0                // Exit if y is nan
 }
 ;;
@@ -737,7 +720,7 @@ ATAN2F_XY_INF_NAN_ZERO:
 }
 { .mfb
       nop.m 999
-(p12) fnorm.s f8 = f9               // Result quietized x if x is nan, y not nan
+(p12) fnorm.s.s0 f8 = f9               // Result quietized x if x is nan, y not nan
 (p12) br.ret.spnt b0                // Exit if x is nan, y not nan
 }
 ;;
@@ -757,7 +740,7 @@ ATAN2F_XY_INF_NAN_ZERO:
 }
 { .mfb
       nop.m 999
-(p7)  fma.s f8 = atan2f_sgn_Y, atan2f_const_piby4,f0 // Result +-pi/4
+(p7)  fma.s.s0 f8 = atan2f_sgn_Y, atan2f_const_piby4,f0 // Result +-pi/4
 (p7)  br.ret.spnt b0            // Exit if x +inf and y inf
 }
 ;;
@@ -790,19 +773,19 @@ ATAN2F_XY_INF_NAN_ZERO:
 }
 { .mfb
       nop.m 999
-(p13) fma.s   f8 = atan2f_sgn_Y, atan2f_const_piby2,f0 // Result +-pi/2
+(p13) fma.s.s0   f8 = atan2f_sgn_Y, atan2f_const_piby2,f0 // Result +-pi/2
 (p13) br.ret.spnt b0           // Exit if x not -inf and y inf
 }
 ;;
 
 { .mfi
       nop.m 999
-(p14) fma.s   f8 = atan2f_sgn_Y, atan2f_const_3piby4,f0 // Result +-3pi/4
+(p14) fma.s.s0   f8 = atan2f_sgn_Y, atan2f_const_3piby4,f0 // Result +-3pi/4
       nop.i 999
 }
 { .mfb
       nop.m 999
-(p15) fma.s   f8 = atan2f_sgn_Y, atan2f_const_pi,f0 // Result +-pi
+(p15) fma.s.s0   f8 = atan2f_sgn_Y, atan2f_const_pi,f0 // Result +-pi
 (p11) br.ret.spnt b0           // Exit if x -inf
 }
 ;;
@@ -829,31 +812,28 @@ ATAN2F_XY_INF_NAN_ZERO:
 }
 { .mfb
       nop.m 999
-(p9)  fma.s  f8 = atan2f_sgn_Y, atan2f_const_pi,f0 // x < 0, y 0, result +-pi
+(p9)  fma.s.s0  f8 = atan2f_sgn_Y, atan2f_const_pi,f0 // x < 0, y 0, result +-pi
 (p10) br.cond.spnt   __libm_error_region // Branch if x zero and y zero
 }
 ;;
 
 { .mfb
       nop.m 999
-(p11) fma.s  f8 = atan2f_sgn_Y, atan2f_const_piby2,f0 // x zero, y not zero
+(p11) fma.s.s0  f8 = atan2f_sgn_Y, atan2f_const_piby2,f0 // x zero, y not zero
       br.ret.sptk b0         // Final special case exit
 }
 ;;
 
 
-.endp atan2f
-ASM_SIZE_DIRECTIVE(atan2f)
-
+GLOBAL_IEEE754_END(atan2f)
 
-.proc __libm_error_region
-__libm_error_region:
+LOCAL_LIBM_ENTRY(__libm_error_region)
 .prologue
          mov            GR_Parameter_TAG      = 38
          fclass.m       p10,p11               = f9,0x5	// @zero | @pos
 ;;
 (p10)    fmerge.s       f10                   = f8, f0
-(p11)    fma.s          f10                   = atan2f_sgn_Y, atan2f_const_pi,f0
+(p11)    fma.s.s0          f10                   = atan2f_sgn_Y, atan2f_const_pi,f0
 ;;
 
 { .mfi
@@ -913,8 +893,7 @@ __libm_error_region:
 }
 ;;
 
-.endp __libm_error_region
-ASM_SIZE_DIRECTIVE(__libm_error_region)
+LOCAL_LIBM_END(__libm_error_region)
 
 .type   __libm_error_support#,@function
 .global __libm_error_support#
diff --git a/sysdeps/ia64/fpu/e_atanh.S b/sysdeps/ia64/fpu/e_atanh.S
new file mode 100644
index 0000000000..7ddc3e3023
--- /dev/null
+++ b/sysdeps/ia64/fpu/e_atanh.S
@@ -0,0 +1,1069 @@
+.file "atanh.s"
+
+
+// Copyright (c) 2000 - 2003, Intel Corporation
+// All rights reserved.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
+//
+// Redistribution and use in source and binary forms, with or without
+// modification, are permitted provided that the following conditions are
+// met:
+//
+// * Redistributions of source code must retain the above copyright
+// notice, this list of conditions and the following disclaimer.
+//
+// * Redistributions in binary form must reproduce the above copyright
+// notice, this list of conditions and the following disclaimer in the
+// documentation and/or other materials provided with the distribution.
+//
+// * The name of Intel Corporation may not be used to endorse or promote
+// products derived from this software without specific prior written
+// permission.
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
+// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
+// OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+//
+// Intel Corporation is the author of this code, and requests that all
+// problem reports or change requests be submitted to it directly at
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
+//
+// ==============================================================
+// History
+// ==============================================================
+// 05/03/01  Initial version
+// 05/20/02  Cleaned up namespace and sf0 syntax
+// 02/06/03  Reordered header: .section, .global, .proc, .align
+// 05/26/03  Improved performance, fixed to handle unorms
+//
+// API
+// ==============================================================
+// double atanh(double)
+//
+// Overview of operation
+// ==============================================================
+//
+// There are 7 paths:
+// 1. x = +/-0.0
+//    Return atanh(x) = +/-0.0
+//
+// 2. 0.0 < |x| < 1/4
+//    Return atanh(x) = Po2l(x),
+//    where Po2l(x) = (((((((((C9*x^2 + C8)*x^2 + C7)*x^2 + C6)*x^2 +
+//          C5)*x^2 + C4)*x^2 + C3)*x^2 + C2)*x^2 + C1)* x^2 + C0)*x^3 + x
+// 3. 1/4 <= |x| < 1
+//    Return atanh(x) = sign(x) * log((1 + |x|)/(1 - |x|))
+//    To compute (1 + |x|)/(1 - |x|) modified Newton Raphson method is used
+//    (3 iterations)
+//    Algorithm description for log function see below.
+//
+// 4. |x| = 1
+//    Return atanh(x) = sign(x) * +INF
+//
+// 5. 1 < |x| <= +INF
+//    Return atanh(x) = QNaN
+//
+// 6. x = [S,Q]NaN
+//    Return atanh(x) = QNaN
+//
+// 7. x = denormal
+//    Return atanh(x) = x
+//
+//==============================================================
+// Algorithm Description for log(x) function
+// Below we are using the fact that inequality x - 1.0 > 2^(-6) is always true
+// for this atanh implementation
+//
+// Consider  x = 2^N 1.f1 f2 f3 f4...f63
+// Log(x) = log(x * frcpa(x) / frcpa(x))
+//        = log(x * frcpa(x)) + log(1/frcpa(x))
+//        = log(x * frcpa(x)) - log(frcpa(x))
+//
+// frcpa(x)       = 2^-N * frcpa(1.f1 f2 ... f63)
+//
+// -log(frcpa(x)) = -log(C)
+//                = -log(2^-N) - log(frcpa(1.f1 f2 ... f63))
+//
+// -log(frcpa(x)) = -log(C)
+//                = N*log2 - log(frcpa(1.f1 f2 ... f63))
+//
+//
+// Log(x) = log(1/frcpa(x)) + log(frcpa(x) x)
+//
+// Log(x) = N*log2 + log(1./frcpa(1.f1 f2 ... f63)) + log(x * frcpa(x))
+// Log(x) = N*log2 + T                              + log(frcpa(x) x)
+//
+// Log(x) = N*log2 + T                              + log(C * x)
+//
+// C * x = 1 + r
+//
+// Log(x) = N*log2 + T + log(1 + r)
+// Log(x) = N*log2 + T + Series(r - r^2/2 + r^3/3 - r^4/4 + ...)
+//
+// 1.f1 f2 ... f8 has 256 entries.
+// They are 1 + k/2^8, k = 0 ... 255
+// These 256 values are the table entries.
+//
+// Implementation
+//==============================================================
+// C = frcpa(x)
+// r = C * x - 1
+//
+// Form rseries = r + P1*r^2 + P2*r^3 + P3*r^4 + P4*r^5 + P5*r^6
+//
+// x = f * 2*N where f is 1.f_1f_2f_3...f_63
+// Nfloat = float(n)  where n is the true unbiased exponent
+// pre-index = f_1f_2....f_8
+// index = pre_index * 16
+// get the dxt table entry at index + offset = T
+//
+// result = (T + Nfloat * log(2)) + rseries
+//
+// The T table is calculated as follows
+// Form x_k = 1 + k/2^8 where k goes from 0... 255
+//      y_k = frcpa(x_k)
+//      log(1/y_k)  in quad and round to double-extended
+//
+//
+// Registers used
+//==============================================================
+// Floating Point registers used:
+// f8, input
+// f32 -> f77
+
+// General registers used:
+// r14 -> r27, r33 -> r39
+
+// Predicate registers used:
+// p6 -> p14
+
+// p10, p11      to indicate is argument positive or negative
+// p12           to filter out case when x = [Q,S]NaN or +/-0
+// p13           to filter out case when x = denormal
+// p6, p7        to filter out case when |x| >= 1
+// p8            to filter out case when |x| < 1/4
+
+// Assembly macros
+//==============================================================
+Data2Ptr              = r14
+Data3Ptr              = r15
+RcpTablePtr           = r16
+rExpbMask             = r17
+rBias                 = r18
+rNearZeroBound        = r19
+rArgSExpb             = r20
+rArgExpb              = r21
+rSExpb                = r22
+rExpb                 = r23
+rSig                  = r24
+rN                    = r25
+rInd                  = r26
+DataPtr               = r27
+
+GR_SAVE_B0            = r33
+GR_SAVE_GP            = r34
+GR_SAVE_PFS           = r35
+
+GR_Parameter_X        = r36
+GR_Parameter_Y        = r37
+GR_Parameter_RESULT   = r38
+atanh_GR_tag          = r39
+
+//==============================================================
+fAbsX                 = f32
+fOneMx                = f33
+fOnePx                = f34
+fY                    = f35
+fR                    = f36
+fR2                   = f37
+fR3                   = f38
+fRcp                  = f39
+fY4Rcp                = f40
+fRcp0                 = f41
+fRcp0n                = f42
+fRcp1                 = f43
+fRcp2                 = f44
+fRcp3                 = f45
+fN4Cvt                = f46
+fN                    = f47
+fY2                   = f48
+fLog2                 = f49
+fLogT                 = f50
+fLogT_N               = f51
+fX2                   = f52
+fX3                   = f53
+fX4                   = f54
+fX8                   = f55
+fP0                   = f56
+fP5                   = f57
+fP4                   = f58
+fP3                   = f59
+fP2                   = f60
+fP1                   = f61
+fNormX                = f62
+fC9                   = f63
+fC8                   = f64
+fC7                   = f65
+fC6                   = f66
+fC5                   = f67
+fC4                   = f68
+fC3                   = f69
+fC2                   = f70
+fC1                   = f71
+fC0                   = f72
+fP98                  = f73
+fP76                  = f74
+fP54                  = f75
+fP32                  = f76
+fP10                  = f77
+
+// Data tables
+//==============================================================
+RODATA
+.align 16
+
+LOCAL_OBJECT_START(atanh_data)
+data8 0xBFC5555DA7212371              //   P5
+data8 0x3FC999A19EEF5826              //   P4
+data8 0xBFCFFFFFFFFEF009              //   P3
+data8 0x3FD555555554ECB2              //   P2
+data8 0xBFE0000000000000              //   P1 = -0.5
+data8 0x0000000000000000              //   pad
+data8 0xb17217f7d1cf79ac , 0x00003ffd //   0.5*log(2)
+data8 0x0000000000000000 , 0x00000000 //   pad to eliminate bank conflicts
+LOCAL_OBJECT_END(atanh_data)
+
+LOCAL_OBJECT_START(atanh_data_2)
+data8 0x8649FB89D3AD51FB , 0x00003FFB //   C9
+data8 0xCC10AABEF160077A , 0x00003FFA //   C8
+data8 0xF1EDB99AC0819CE2 , 0x00003FFA //   C7
+data8 0x8881E53A809AD24D , 0x00003FFB //   C6
+data8 0x9D8A116EF212F271 , 0x00003FFB //   C5
+data8 0xBA2E8A6D1D756453 , 0x00003FFB //   C4
+data8 0xE38E38E7A0945692 , 0x00003FFB //   C3
+data8 0x924924924536891A , 0x00003FFC //   C2
+data8 0xCCCCCCCCCCD08D51 , 0x00003FFC //   C1
+data8 0xAAAAAAAAAAAAAA0C , 0x00003FFD //   C0
+LOCAL_OBJECT_END(atanh_data_2)
+
+
+LOCAL_OBJECT_START(atanh_data_3)
+data8 0x80200aaeac44ef38 , 0x00003ff5 //   log(1/frcpa(1+0/2^-8))/2
+//
+data8 0xc09090a2c35aa070 , 0x00003ff6 //   log(1/frcpa(1+1/2^-8))/2
+data8 0xa0c94fcb41977c75 , 0x00003ff7 //   log(1/frcpa(1+2/2^-8))/2
+data8 0xe18b9c263af83301 , 0x00003ff7 //   log(1/frcpa(1+3/2^-8))/2
+data8 0x8d35c8d6399c30ea , 0x00003ff8 //   log(1/frcpa(1+4/2^-8))/2
+data8 0xadd4d2ecd601cbb8 , 0x00003ff8 //   log(1/frcpa(1+5/2^-8))/2
+//
+data8 0xce95403a192f9f01 , 0x00003ff8 //   log(1/frcpa(1+6/2^-8))/2
+data8 0xeb59392cbcc01096 , 0x00003ff8 //   log(1/frcpa(1+7/2^-8))/2
+data8 0x862c7d0cefd54c5d , 0x00003ff9 //   log(1/frcpa(1+8/2^-8))/2
+data8 0x94aa63c65e70d499 , 0x00003ff9 //   log(1/frcpa(1+9/2^-8))/2
+data8 0xa54a696d4b62b382 , 0x00003ff9 //   log(1/frcpa(1+10/2^-8))/2
+//
+data8 0xb3e4a796a5dac208 , 0x00003ff9 //   log(1/frcpa(1+11/2^-8))/2
+data8 0xc28c45b1878340a9 , 0x00003ff9 //   log(1/frcpa(1+12/2^-8))/2
+data8 0xd35c55f39d7a6235 , 0x00003ff9 //   log(1/frcpa(1+13/2^-8))/2
+data8 0xe220f037b954f1f5 , 0x00003ff9 //   log(1/frcpa(1+14/2^-8))/2
+data8 0xf0f3389b036834f3 , 0x00003ff9 //   log(1/frcpa(1+15/2^-8))/2
+//
+data8 0xffd3488d5c980465 , 0x00003ff9 //   log(1/frcpa(1+16/2^-8))/2
+data8 0x87609ce2ed300490 , 0x00003ffa //   log(1/frcpa(1+17/2^-8))/2
+data8 0x8ede9321e8c85927 , 0x00003ffa //   log(1/frcpa(1+18/2^-8))/2
+data8 0x96639427f2f8e2f4 , 0x00003ffa //   log(1/frcpa(1+19/2^-8))/2
+data8 0x9defad3e8f73217b , 0x00003ffa //   log(1/frcpa(1+20/2^-8))/2
+//
+data8 0xa582ebd50097029c , 0x00003ffa //   log(1/frcpa(1+21/2^-8))/2
+data8 0xac06dbe75ab80fee , 0x00003ffa //   log(1/frcpa(1+22/2^-8))/2
+data8 0xb3a78449b2d3ccca , 0x00003ffa //   log(1/frcpa(1+23/2^-8))/2
+data8 0xbb4f79635ab46bb2 , 0x00003ffa //   log(1/frcpa(1+24/2^-8))/2
+data8 0xc2fec93a83523f3f , 0x00003ffa //   log(1/frcpa(1+25/2^-8))/2
+//
+data8 0xc99af2eaca4c4571 , 0x00003ffa //   log(1/frcpa(1+26/2^-8))/2
+data8 0xd1581106472fa653 , 0x00003ffa //   log(1/frcpa(1+27/2^-8))/2
+data8 0xd8002560d4355f2e , 0x00003ffa //   log(1/frcpa(1+28/2^-8))/2
+data8 0xdfcb43b4fe508632 , 0x00003ffa //   log(1/frcpa(1+29/2^-8))/2
+data8 0xe67f6dff709d4119 , 0x00003ffa //   log(1/frcpa(1+30/2^-8))/2
+//
+data8 0xed393b1c22351280 , 0x00003ffa //   log(1/frcpa(1+31/2^-8))/2
+data8 0xf5192bff087bcc35 , 0x00003ffa //   log(1/frcpa(1+32/2^-8))/2
+data8 0xfbdf4ff6dfef2fa3 , 0x00003ffa //   log(1/frcpa(1+33/2^-8))/2
+data8 0x81559a97f92f9cc7 , 0x00003ffb //   log(1/frcpa(1+34/2^-8))/2
+data8 0x84be72bce90266e8 , 0x00003ffb //   log(1/frcpa(1+35/2^-8))/2
+//
+data8 0x88bc74113f23def2 , 0x00003ffb //   log(1/frcpa(1+36/2^-8))/2
+data8 0x8c2ba3edf6799d11 , 0x00003ffb //   log(1/frcpa(1+37/2^-8))/2
+data8 0x8f9dc92f92ea08b1 , 0x00003ffb //   log(1/frcpa(1+38/2^-8))/2
+data8 0x9312e8f36efab5a7 , 0x00003ffb //   log(1/frcpa(1+39/2^-8))/2
+data8 0x968b08643409ceb6 , 0x00003ffb //   log(1/frcpa(1+40/2^-8))/2
+//
+data8 0x9a062cba08a1708c , 0x00003ffb //   log(1/frcpa(1+41/2^-8))/2
+data8 0x9d845b3abf95485c , 0x00003ffb //   log(1/frcpa(1+42/2^-8))/2
+data8 0xa06fd841bc001bb4 , 0x00003ffb //   log(1/frcpa(1+43/2^-8))/2
+data8 0xa3f3a74652fbe0db , 0x00003ffb //   log(1/frcpa(1+44/2^-8))/2
+data8 0xa77a8fb2336f20f5 , 0x00003ffb //   log(1/frcpa(1+45/2^-8))/2
+//
+data8 0xab0497015d28b0a0 , 0x00003ffb //   log(1/frcpa(1+46/2^-8))/2
+data8 0xae91c2be6ba6a615 , 0x00003ffb //   log(1/frcpa(1+47/2^-8))/2
+data8 0xb189d1b99aebb20b , 0x00003ffb //   log(1/frcpa(1+48/2^-8))/2
+data8 0xb51cced5de9c1b2c , 0x00003ffb //   log(1/frcpa(1+49/2^-8))/2
+data8 0xb819bee9e720d42f , 0x00003ffb //   log(1/frcpa(1+50/2^-8))/2
+//
+data8 0xbbb2a0947b093a5d , 0x00003ffb //   log(1/frcpa(1+51/2^-8))/2
+data8 0xbf4ec1505811684a , 0x00003ffb //   log(1/frcpa(1+52/2^-8))/2
+data8 0xc2535bacfa8975ff , 0x00003ffb //   log(1/frcpa(1+53/2^-8))/2
+data8 0xc55a3eafad187eb8 , 0x00003ffb //   log(1/frcpa(1+54/2^-8))/2
+data8 0xc8ff2484b2c0da74 , 0x00003ffb //   log(1/frcpa(1+55/2^-8))/2
+//
+data8 0xcc0b1a008d53ab76 , 0x00003ffb //   log(1/frcpa(1+56/2^-8))/2
+data8 0xcfb6203844b3209b , 0x00003ffb //   log(1/frcpa(1+57/2^-8))/2
+data8 0xd2c73949a47a19f5 , 0x00003ffb //   log(1/frcpa(1+58/2^-8))/2
+data8 0xd5daae18b49d6695 , 0x00003ffb //   log(1/frcpa(1+59/2^-8))/2
+data8 0xd8f08248cf7e8019 , 0x00003ffb //   log(1/frcpa(1+60/2^-8))/2
+//
+data8 0xdca7749f1b3e540e , 0x00003ffb //   log(1/frcpa(1+61/2^-8))/2
+data8 0xdfc28e033aaaf7c7 , 0x00003ffb //   log(1/frcpa(1+62/2^-8))/2
+data8 0xe2e012a5f91d2f55 , 0x00003ffb //   log(1/frcpa(1+63/2^-8))/2
+data8 0xe600064ed9e292a8 , 0x00003ffb //   log(1/frcpa(1+64/2^-8))/2
+data8 0xe9226cce42b39f60 , 0x00003ffb //   log(1/frcpa(1+65/2^-8))/2
+//
+data8 0xec4749fd97a28360 , 0x00003ffb //   log(1/frcpa(1+66/2^-8))/2
+data8 0xef6ea1bf57780495 , 0x00003ffb //   log(1/frcpa(1+67/2^-8))/2
+data8 0xf29877ff38809091 , 0x00003ffb //   log(1/frcpa(1+68/2^-8))/2
+data8 0xf5c4d0b245cb89be , 0x00003ffb //   log(1/frcpa(1+69/2^-8))/2
+data8 0xf8f3afd6fcdef3aa , 0x00003ffb //   log(1/frcpa(1+70/2^-8))/2
+//
+data8 0xfc2519756be1abc7 , 0x00003ffb //   log(1/frcpa(1+71/2^-8))/2
+data8 0xff59119f503e6832 , 0x00003ffb //   log(1/frcpa(1+72/2^-8))/2
+data8 0x8147ce381ae0e146 , 0x00003ffc //   log(1/frcpa(1+73/2^-8))/2
+data8 0x82e45f06cb1ad0f2 , 0x00003ffc //   log(1/frcpa(1+74/2^-8))/2
+data8 0x842f5c7c573cbaa2 , 0x00003ffc //   log(1/frcpa(1+75/2^-8))/2
+//
+data8 0x85ce471968c8893a , 0x00003ffc //   log(1/frcpa(1+76/2^-8))/2
+data8 0x876e8305bc04066d , 0x00003ffc //   log(1/frcpa(1+77/2^-8))/2
+data8 0x891012678031fbb3 , 0x00003ffc //   log(1/frcpa(1+78/2^-8))/2
+data8 0x8a5f1493d766a05f , 0x00003ffc //   log(1/frcpa(1+79/2^-8))/2
+data8 0x8c030c778c56fa00 , 0x00003ffc //   log(1/frcpa(1+80/2^-8))/2
+//
+data8 0x8da85df17e31d9ae , 0x00003ffc //   log(1/frcpa(1+81/2^-8))/2
+data8 0x8efa663e7921687e , 0x00003ffc //   log(1/frcpa(1+82/2^-8))/2
+data8 0x90a22b6875c6a1f8 , 0x00003ffc //   log(1/frcpa(1+83/2^-8))/2
+data8 0x91f62cc8f5d24837 , 0x00003ffc //   log(1/frcpa(1+84/2^-8))/2
+data8 0x93a06cfc3857d980 , 0x00003ffc //   log(1/frcpa(1+85/2^-8))/2
+//
+data8 0x94f66d5e6fd01ced , 0x00003ffc //   log(1/frcpa(1+86/2^-8))/2
+data8 0x96a330156e6772f2 , 0x00003ffc //   log(1/frcpa(1+87/2^-8))/2
+data8 0x97fb3582754ea25b , 0x00003ffc //   log(1/frcpa(1+88/2^-8))/2
+data8 0x99aa8259aad1bbf2 , 0x00003ffc //   log(1/frcpa(1+89/2^-8))/2
+data8 0x9b0492f6227ae4a8 , 0x00003ffc //   log(1/frcpa(1+90/2^-8))/2
+//
+data8 0x9c5f8e199bf3a7a5 , 0x00003ffc //   log(1/frcpa(1+91/2^-8))/2
+data8 0x9e1293b9998c1daa , 0x00003ffc //   log(1/frcpa(1+92/2^-8))/2
+data8 0x9f6fa31e0b41f308 , 0x00003ffc //   log(1/frcpa(1+93/2^-8))/2
+data8 0xa0cda11eaf46390e , 0x00003ffc //   log(1/frcpa(1+94/2^-8))/2
+data8 0xa22c8f029cfa45aa , 0x00003ffc //   log(1/frcpa(1+95/2^-8))/2
+//
+data8 0xa3e48badb7856b34 , 0x00003ffc //   log(1/frcpa(1+96/2^-8))/2
+data8 0xa5459a0aa95849f9 , 0x00003ffc //   log(1/frcpa(1+97/2^-8))/2
+data8 0xa6a79c84480cfebd , 0x00003ffc //   log(1/frcpa(1+98/2^-8))/2
+data8 0xa80a946d0fcb3eb2 , 0x00003ffc //   log(1/frcpa(1+99/2^-8))/2
+data8 0xa96e831a3ea7b314 , 0x00003ffc //   log(1/frcpa(1+100/2^-8))/2
+//
+data8 0xaad369e3dc544e3b , 0x00003ffc //   log(1/frcpa(1+101/2^-8))/2
+data8 0xac92e9588952c815 , 0x00003ffc //   log(1/frcpa(1+102/2^-8))/2
+data8 0xadfa035aa1ed8fdc , 0x00003ffc //   log(1/frcpa(1+103/2^-8))/2
+data8 0xaf6219eae1ad6e34 , 0x00003ffc //   log(1/frcpa(1+104/2^-8))/2
+data8 0xb0cb2e6d8160f753 , 0x00003ffc //   log(1/frcpa(1+105/2^-8))/2
+//
+data8 0xb2354249ad950f72 , 0x00003ffc //   log(1/frcpa(1+106/2^-8))/2
+data8 0xb3a056e98ef4a3b4 , 0x00003ffc //   log(1/frcpa(1+107/2^-8))/2
+data8 0xb50c6dba52c6292a , 0x00003ffc //   log(1/frcpa(1+108/2^-8))/2
+data8 0xb679882c33876165 , 0x00003ffc //   log(1/frcpa(1+109/2^-8))/2
+data8 0xb78c07429785cedc , 0x00003ffc //   log(1/frcpa(1+110/2^-8))/2
+//
+data8 0xb8faeb8dc4a77d24 , 0x00003ffc //   log(1/frcpa(1+111/2^-8))/2
+data8 0xba6ad77eb36ae0d6 , 0x00003ffc //   log(1/frcpa(1+112/2^-8))/2
+data8 0xbbdbcc915e9bee50 , 0x00003ffc //   log(1/frcpa(1+113/2^-8))/2
+data8 0xbd4dcc44f8cf12ef , 0x00003ffc //   log(1/frcpa(1+114/2^-8))/2
+data8 0xbec0d81bf5b531fa , 0x00003ffc //   log(1/frcpa(1+115/2^-8))/2
+//
+data8 0xc034f19c139186f4 , 0x00003ffc //   log(1/frcpa(1+116/2^-8))/2
+data8 0xc14cb69f7c5e55ab , 0x00003ffc //   log(1/frcpa(1+117/2^-8))/2
+data8 0xc2c2abbb6e5fd56f , 0x00003ffc //   log(1/frcpa(1+118/2^-8))/2
+data8 0xc439b2c193e6771e , 0x00003ffc //   log(1/frcpa(1+119/2^-8))/2
+data8 0xc553acb9d5c67733 , 0x00003ffc //   log(1/frcpa(1+120/2^-8))/2
+//
+data8 0xc6cc96e441272441 , 0x00003ffc //   log(1/frcpa(1+121/2^-8))/2
+data8 0xc8469753eca88c30 , 0x00003ffc //   log(1/frcpa(1+122/2^-8))/2
+data8 0xc962cf3ce072b05c , 0x00003ffc //   log(1/frcpa(1+123/2^-8))/2
+data8 0xcadeba8771f694aa , 0x00003ffc //   log(1/frcpa(1+124/2^-8))/2
+data8 0xcc5bc08d1f72da94 , 0x00003ffc //   log(1/frcpa(1+125/2^-8))/2
+//
+data8 0xcd7a3f99ea035c29 , 0x00003ffc //   log(1/frcpa(1+126/2^-8))/2
+data8 0xcef93860c8a53c35 , 0x00003ffc //   log(1/frcpa(1+127/2^-8))/2
+data8 0xd0192f68a7ed23df , 0x00003ffc //   log(1/frcpa(1+128/2^-8))/2
+data8 0xd19a201127d3c645 , 0x00003ffc //   log(1/frcpa(1+129/2^-8))/2
+data8 0xd2bb92f4061c172c , 0x00003ffc //   log(1/frcpa(1+130/2^-8))/2
+//
+data8 0xd43e80b2ee8cc8fc , 0x00003ffc //   log(1/frcpa(1+131/2^-8))/2
+data8 0xd56173601fc4ade4 , 0x00003ffc //   log(1/frcpa(1+132/2^-8))/2
+data8 0xd6e6637efb54086f , 0x00003ffc //   log(1/frcpa(1+133/2^-8))/2
+data8 0xd80ad9f58f3c8193 , 0x00003ffc //   log(1/frcpa(1+134/2^-8))/2
+data8 0xd991d1d31aca41f8 , 0x00003ffc //   log(1/frcpa(1+135/2^-8))/2
+//
+data8 0xdab7d02231484a93 , 0x00003ffc //   log(1/frcpa(1+136/2^-8))/2
+data8 0xdc40d532cde49a54 , 0x00003ffc //   log(1/frcpa(1+137/2^-8))/2
+data8 0xdd685f79ed8b265e , 0x00003ffc //   log(1/frcpa(1+138/2^-8))/2
+data8 0xde9094bbc0e17b1d , 0x00003ffc //   log(1/frcpa(1+139/2^-8))/2
+data8 0xe01c91b78440c425 , 0x00003ffc //   log(1/frcpa(1+140/2^-8))/2
+//
+data8 0xe14658f26997e729 , 0x00003ffc //   log(1/frcpa(1+141/2^-8))/2
+data8 0xe270cdc2391e0d23 , 0x00003ffc //   log(1/frcpa(1+142/2^-8))/2
+data8 0xe3ffce3a2aa64922 , 0x00003ffc //   log(1/frcpa(1+143/2^-8))/2
+data8 0xe52bdb274ed82887 , 0x00003ffc //   log(1/frcpa(1+144/2^-8))/2
+data8 0xe6589852e75d7df6 , 0x00003ffc //   log(1/frcpa(1+145/2^-8))/2
+//
+data8 0xe786068c79937a7d , 0x00003ffc //   log(1/frcpa(1+146/2^-8))/2
+data8 0xe91903adad100911 , 0x00003ffc //   log(1/frcpa(1+147/2^-8))/2
+data8 0xea481236f7d35bb0 , 0x00003ffc //   log(1/frcpa(1+148/2^-8))/2
+data8 0xeb77d48c692e6b14 , 0x00003ffc //   log(1/frcpa(1+149/2^-8))/2
+data8 0xeca84b83d7297b87 , 0x00003ffc //   log(1/frcpa(1+150/2^-8))/2
+//
+data8 0xedd977f4962aa158 , 0x00003ffc //   log(1/frcpa(1+151/2^-8))/2
+data8 0xef7179a22f257754 , 0x00003ffc //   log(1/frcpa(1+152/2^-8))/2
+data8 0xf0a450d139366ca7 , 0x00003ffc //   log(1/frcpa(1+153/2^-8))/2
+data8 0xf1d7e0524ff9ffdb , 0x00003ffc //   log(1/frcpa(1+154/2^-8))/2
+data8 0xf30c29036a8b6cae , 0x00003ffc //   log(1/frcpa(1+155/2^-8))/2
+//
+data8 0xf4412bc411ea8d92 , 0x00003ffc //   log(1/frcpa(1+156/2^-8))/2
+data8 0xf576e97564c8619d , 0x00003ffc //   log(1/frcpa(1+157/2^-8))/2
+data8 0xf6ad62fa1b5f172f , 0x00003ffc //   log(1/frcpa(1+158/2^-8))/2
+data8 0xf7e499368b55c542 , 0x00003ffc //   log(1/frcpa(1+159/2^-8))/2
+data8 0xf91c8d10abaffe22 , 0x00003ffc //   log(1/frcpa(1+160/2^-8))/2
+//
+data8 0xfa553f7018c966f3 , 0x00003ffc //   log(1/frcpa(1+161/2^-8))/2
+data8 0xfb8eb13e185d802c , 0x00003ffc //   log(1/frcpa(1+162/2^-8))/2
+data8 0xfcc8e3659d9bcbed , 0x00003ffc //   log(1/frcpa(1+163/2^-8))/2
+data8 0xfe03d6d34d487fd2 , 0x00003ffc //   log(1/frcpa(1+164/2^-8))/2
+data8 0xff3f8c7581e9f0ae , 0x00003ffc //   log(1/frcpa(1+165/2^-8))/2
+//
+data8 0x803e029e280173ae , 0x00003ffd //   log(1/frcpa(1+166/2^-8))/2
+data8 0x80dca10cc52d0757 , 0x00003ffd //   log(1/frcpa(1+167/2^-8))/2
+data8 0x817ba200632755a1 , 0x00003ffd //   log(1/frcpa(1+168/2^-8))/2
+data8 0x821b05f3b01d6774 , 0x00003ffd //   log(1/frcpa(1+169/2^-8))/2
+data8 0x82bacd623ff19d06 , 0x00003ffd //   log(1/frcpa(1+170/2^-8))/2
+//
+data8 0x835af8c88e7a8f47 , 0x00003ffd //   log(1/frcpa(1+171/2^-8))/2
+data8 0x83c5f8299e2b4091 , 0x00003ffd //   log(1/frcpa(1+172/2^-8))/2
+data8 0x8466cb43f3d87300 , 0x00003ffd //   log(1/frcpa(1+173/2^-8))/2
+data8 0x850803a67c80ca4b , 0x00003ffd //   log(1/frcpa(1+174/2^-8))/2
+data8 0x85a9a1d11a23b461 , 0x00003ffd //   log(1/frcpa(1+175/2^-8))/2
+//
+data8 0x864ba644a18e6e05 , 0x00003ffd //   log(1/frcpa(1+176/2^-8))/2
+data8 0x86ee1182dcc432f7 , 0x00003ffd //   log(1/frcpa(1+177/2^-8))/2
+data8 0x875a925d7e48c316 , 0x00003ffd //   log(1/frcpa(1+178/2^-8))/2
+data8 0x87fdaa109d23aef7 , 0x00003ffd //   log(1/frcpa(1+179/2^-8))/2
+data8 0x88a129ed4becfaf2 , 0x00003ffd //   log(1/frcpa(1+180/2^-8))/2
+//
+data8 0x89451278ecd7f9cf , 0x00003ffd //   log(1/frcpa(1+181/2^-8))/2
+data8 0x89b29295f8432617 , 0x00003ffd //   log(1/frcpa(1+182/2^-8))/2
+data8 0x8a572ac5a5496882 , 0x00003ffd //   log(1/frcpa(1+183/2^-8))/2
+data8 0x8afc2d0ce3b2dadf , 0x00003ffd //   log(1/frcpa(1+184/2^-8))/2
+data8 0x8b6a69c608cfd3af , 0x00003ffd //   log(1/frcpa(1+185/2^-8))/2
+//
+data8 0x8c101e106e899a83 , 0x00003ffd //   log(1/frcpa(1+186/2^-8))/2
+data8 0x8cb63de258f9d626 , 0x00003ffd //   log(1/frcpa(1+187/2^-8))/2
+data8 0x8d2539c5bd19e2b1 , 0x00003ffd //   log(1/frcpa(1+188/2^-8))/2
+data8 0x8dcc0e064b29e6f1 , 0x00003ffd //   log(1/frcpa(1+189/2^-8))/2
+data8 0x8e734f45d88357ae , 0x00003ffd //   log(1/frcpa(1+190/2^-8))/2
+//
+data8 0x8ee30cef034a20db , 0x00003ffd //   log(1/frcpa(1+191/2^-8))/2
+data8 0x8f8b0515686d1d06 , 0x00003ffd //   log(1/frcpa(1+192/2^-8))/2
+data8 0x90336bba039bf32f , 0x00003ffd //   log(1/frcpa(1+193/2^-8))/2
+data8 0x90a3edd23d1c9d58 , 0x00003ffd //   log(1/frcpa(1+194/2^-8))/2
+data8 0x914d0de2f5d61b32 , 0x00003ffd //   log(1/frcpa(1+195/2^-8))/2
+//
+data8 0x91be0c20d28173b5 , 0x00003ffd //   log(1/frcpa(1+196/2^-8))/2
+data8 0x9267e737c06cd34a , 0x00003ffd //   log(1/frcpa(1+197/2^-8))/2
+data8 0x92d962ae6abb1237 , 0x00003ffd //   log(1/frcpa(1+198/2^-8))/2
+data8 0x9383fa6afbe2074c , 0x00003ffd //   log(1/frcpa(1+199/2^-8))/2
+data8 0x942f0421651c1c4e , 0x00003ffd //   log(1/frcpa(1+200/2^-8))/2
+//
+data8 0x94a14a3845bb985e , 0x00003ffd //   log(1/frcpa(1+201/2^-8))/2
+data8 0x954d133857f861e7 , 0x00003ffd //   log(1/frcpa(1+202/2^-8))/2
+data8 0x95bfd96468e604c4 , 0x00003ffd //   log(1/frcpa(1+203/2^-8))/2
+data8 0x9632d31cafafa858 , 0x00003ffd //   log(1/frcpa(1+204/2^-8))/2
+data8 0x96dfaabd86fa1647 , 0x00003ffd //   log(1/frcpa(1+205/2^-8))/2
+//
+data8 0x9753261fcbb2a594 , 0x00003ffd //   log(1/frcpa(1+206/2^-8))/2
+data8 0x9800c11b426b996d , 0x00003ffd //   log(1/frcpa(1+207/2^-8))/2
+data8 0x9874bf4d45ae663c , 0x00003ffd //   log(1/frcpa(1+208/2^-8))/2
+data8 0x99231f5ee9a74f79 , 0x00003ffd //   log(1/frcpa(1+209/2^-8))/2
+data8 0x9997a18a56bcad28 , 0x00003ffd //   log(1/frcpa(1+210/2^-8))/2
+//
+data8 0x9a46c873a3267e79 , 0x00003ffd //   log(1/frcpa(1+211/2^-8))/2
+data8 0x9abbcfc621eb6cb6 , 0x00003ffd //   log(1/frcpa(1+212/2^-8))/2
+data8 0x9b310cb0d354c990 , 0x00003ffd //   log(1/frcpa(1+213/2^-8))/2
+data8 0x9be14cf9e1b3515c , 0x00003ffd //   log(1/frcpa(1+214/2^-8))/2
+data8 0x9c5710b8cbb73a43 , 0x00003ffd //   log(1/frcpa(1+215/2^-8))/2
+//
+data8 0x9ccd0abd301f399c , 0x00003ffd //   log(1/frcpa(1+216/2^-8))/2
+data8 0x9d7e67f3bdce8888 , 0x00003ffd //   log(1/frcpa(1+217/2^-8))/2
+data8 0x9df4ea81a99daa01 , 0x00003ffd //   log(1/frcpa(1+218/2^-8))/2
+data8 0x9e6ba405a54514ba , 0x00003ffd //   log(1/frcpa(1+219/2^-8))/2
+data8 0x9f1e21c8c7bb62b3 , 0x00003ffd //   log(1/frcpa(1+220/2^-8))/2
+//
+data8 0x9f956593f6b6355c , 0x00003ffd //   log(1/frcpa(1+221/2^-8))/2
+data8 0xa00ce1092e5498c3 , 0x00003ffd //   log(1/frcpa(1+222/2^-8))/2
+data8 0xa0c08309c4b912c1 , 0x00003ffd //   log(1/frcpa(1+223/2^-8))/2
+data8 0xa1388a8c6faa2afa , 0x00003ffd //   log(1/frcpa(1+224/2^-8))/2
+data8 0xa1b0ca7095b5f985 , 0x00003ffd //   log(1/frcpa(1+225/2^-8))/2
+//
+data8 0xa22942eb47534a00 , 0x00003ffd //   log(1/frcpa(1+226/2^-8))/2
+data8 0xa2de62326449d0a3 , 0x00003ffd //   log(1/frcpa(1+227/2^-8))/2
+data8 0xa357690f88bfe345 , 0x00003ffd //   log(1/frcpa(1+228/2^-8))/2
+data8 0xa3d0a93f45169a4b , 0x00003ffd //   log(1/frcpa(1+229/2^-8))/2
+data8 0xa44a22f7ffe65f30 , 0x00003ffd //   log(1/frcpa(1+230/2^-8))/2
+//
+data8 0xa500c5e5b4c1aa36 , 0x00003ffd //   log(1/frcpa(1+231/2^-8))/2
+data8 0xa57ad064eb2ebbc2 , 0x00003ffd //   log(1/frcpa(1+232/2^-8))/2
+data8 0xa5f5152dedf4384e , 0x00003ffd //   log(1/frcpa(1+233/2^-8))/2
+data8 0xa66f9478856233ec , 0x00003ffd //   log(1/frcpa(1+234/2^-8))/2
+data8 0xa6ea4e7cca02c32e , 0x00003ffd //   log(1/frcpa(1+235/2^-8))/2
+//
+data8 0xa765437325341ccf , 0x00003ffd //   log(1/frcpa(1+236/2^-8))/2
+data8 0xa81e21e6c75b4020 , 0x00003ffd //   log(1/frcpa(1+237/2^-8))/2
+data8 0xa899ab333fe2b9ca , 0x00003ffd //   log(1/frcpa(1+238/2^-8))/2
+data8 0xa9157039c51ebe71 , 0x00003ffd //   log(1/frcpa(1+239/2^-8))/2
+data8 0xa991713433c2b999 , 0x00003ffd //   log(1/frcpa(1+240/2^-8))/2
+//
+data8 0xaa0dae5cbcc048b3 , 0x00003ffd //   log(1/frcpa(1+241/2^-8))/2
+data8 0xaa8a27ede5eb13ad , 0x00003ffd //   log(1/frcpa(1+242/2^-8))/2
+data8 0xab06de228a9e3499 , 0x00003ffd //   log(1/frcpa(1+243/2^-8))/2
+data8 0xab83d135dc633301 , 0x00003ffd //   log(1/frcpa(1+244/2^-8))/2
+data8 0xac3fb076adc7fe7a , 0x00003ffd //   log(1/frcpa(1+245/2^-8))/2
+//
+data8 0xacbd3cbbe47988f1 , 0x00003ffd //   log(1/frcpa(1+246/2^-8))/2
+data8 0xad3b06b1a5dc57c3 , 0x00003ffd //   log(1/frcpa(1+247/2^-8))/2
+data8 0xadb90e94af887717 , 0x00003ffd //   log(1/frcpa(1+248/2^-8))/2
+data8 0xae3754a218f7c816 , 0x00003ffd //   log(1/frcpa(1+249/2^-8))/2
+data8 0xaeb5d9175437afa2 , 0x00003ffd //   log(1/frcpa(1+250/2^-8))/2
+//
+data8 0xaf349c322e9c7cee , 0x00003ffd //   log(1/frcpa(1+251/2^-8))/2
+data8 0xafb39e30d1768d1c , 0x00003ffd //   log(1/frcpa(1+252/2^-8))/2
+data8 0xb032df51c2c93116 , 0x00003ffd //   log(1/frcpa(1+253/2^-8))/2
+data8 0xb0b25fd3e6035ad9 , 0x00003ffd //   log(1/frcpa(1+254/2^-8))/2
+data8 0xb1321ff67cba178c , 0x00003ffd //   log(1/frcpa(1+255/2^-8))/2
+LOCAL_OBJECT_END(atanh_data_3)
+
+
+
+.section .text
+GLOBAL_LIBM_ENTRY(atanh)
+
+{ .mfi
+      getf.exp      rArgSExpb = f8                  // Must recompute if x unorm
+      fclass.m      p13,p0 = f8, 0x0b               // is arg denormal ?
+      mov           rExpbMask = 0x1ffff
+}
+{ .mfi
+      addl          DataPtr = @ltoff(atanh_data), gp
+      fnma.s1       fOneMx = f8, f1, f1             // fOneMx = 1 - x
+      mov           rBias = 0xffff
+}
+;;
+
+{ .mfi
+      mov           rNearZeroBound = 0xfffd         // biased exp of 1/4
+      fclass.m      p12,p0 = f8, 0xc7               // is arg NaN or +/-0 ?
+      nop.i         0
+}
+{ .mfi
+      ld8           DataPtr = [DataPtr]
+      fma.s1        fOnePx = f8, f1, f1             // fOnePx = 1 + x
+      nop.i         0
+}
+;;
+
+{ .mfi
+      nop.m         0
+      fcmp.lt.s1    p10,p11 = f8,f0                 // is x < 0 ?
+      nop.i         0
+}
+{ .mfb
+      nop.m         0
+      fnorm.s1      fNormX = f8                     // Normalize x
+(p13) br.cond.spnt  ATANH_UNORM                     // Branch if x=unorm
+}
+;;
+
+ATANH_COMMON:
+// Return here if x=unorm and not denorm
+{ .mfi
+      adds          Data2Ptr = 0x50, DataPtr
+      fma.s1        fX2 = f8, f8, f0                // x^2
+      nop.i         0
+}
+{ .mfb
+      adds          Data3Ptr = 0xC0, DataPtr
+(p12) fma.d.s0      f8 = f8,f1,f8                   // NaN or +/-0
+(p12) br.ret.spnt   b0                              // Exit for x Nan or zero
+}
+;;
+
+{ .mfi
+      ldfe          fC9 = [Data2Ptr], 16
+(p11) frcpa.s1      fRcp0, p0 = f1, fOneMx
+      nop.i         0
+}
+;;
+
+{ .mfi
+      ldfe          fC8 = [Data2Ptr], 16
+(p10) frcpa.s1      fRcp0n, p0 = f1, fOnePx
+      and           rArgExpb = rArgSExpb, rExpbMask // biased exponent
+}
+{ .mfi
+      nop.m         0
+(p10) fma.s1        fOneMx = fOnePx, f1, f0         // fOnePx = 1 - |x|
+      nop.i         0
+}
+;;
+
+{ .mfi
+      ldfe          fC7 = [Data2Ptr], 16
+(p10) fnma.s1       fOnePx = fNormX, f1, f1         // fOnePx = 1 + |x|
+      cmp.ge        p6,p0 = rArgExpb, rBias         // is Expb(Arg) >= Expb(1) ?
+}
+{ .mfb
+      nop.m         0
+      nop.f         0
+(p6)  br.cond.spnt  atanh_ge_one                    // Branch if |x| >=1.0
+}
+;;
+
+{ .mfi
+      ldfe          fC6 = [Data2Ptr], 16
+      nop.f         0
+      nop.i         0
+}
+;;
+
+{ .mfi
+      ldfe          fC5 = [Data2Ptr], 16
+      fma.s1        fX4 = fX2, fX2, f0              // x^4
+      cmp.gt        p8,p0 = rNearZeroBound, rArgExpb
+}
+{ .mfb
+      ldfe          fC2 = [Data3Ptr], 16
+      fma.s1        fX3 = fX2, fNormX, f0           // x^3
+(p8)  br.cond.spnt  atanh_near_zero                 // Exit if 0 < |x| < 0.25
+}
+;;
+
+// Main path: 0.25 <= |x| < 1.0
+// NR method: iteration #1
+.pred.rel "mutex",p11,p10
+{ .mfi
+      ldfpd         fP5, fP4 = [DataPtr], 16
+(p11) fnma.s1       fRcp1 = fRcp0, fOneMx, f1       // t = 1 - r0*x
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+(p10) fnma.s1       fRcp1 = fRcp0n, fOneMx, f1      // t = 1 - r0*x
+      nop.i         0
+}
+;;
+
+{ .mfi
+      ldfpd         fP3, fP2 = [DataPtr], 16
+      // r1 = r0 + r0*t = r0 + r0*(1 - r0*x)
+(p11) fma.s1        fRcp1 = fRcp0, fRcp1, fRcp0
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      // r1 = r0 + r0*t = r0 + r0*(1 - r0*x)
+(p10) fma.s1        fRcp1 = fRcp0n, fRcp1, fRcp0n
+      nop.i         0
+}
+;;
+
+// NR method: iteration #2
+{ .mfi
+      ldfd          fP1 = [DataPtr], 16
+      fnma.s1       fRcp2 = fRcp1, fOneMx, f1       // t = 1 - r1*x
+      nop.i         0
+}
+;;
+
+{ .mfi
+      ldfe          fLog2 = [DataPtr], 16
+      // r2 = r1 + r1*t = r1 + r1*(1 - r1*x)
+      fma.s1        fRcp2 = fRcp1, fRcp2, fRcp1
+      nop.i         0
+}
+;;
+
+// NR method: iteration #3
+{ .mfi
+      adds          RcpTablePtr = 0xB0, DataPtr
+      fnma.s1       fRcp3 = fRcp2, fOneMx, f1       // t = 1 - r2*x
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        fY4Rcp = fRcp2, fOnePx, f0      // fY4Rcp = r2*(1 + x)
+      nop.i         0
+}
+;;
+
+// polynomial approximation & final reconstruction
+{ .mfi
+      nop.m         0
+      frcpa.s1      fRcp, p0 = f1, fY4Rcp
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      // y = r2 * (1 + x) + r2 * (1 + x) * t = (1 + x) * (r2 + r2*(1 - r2*x))
+      fma.s1        fY = fY4Rcp, fRcp3, fY4Rcp
+      nop.i         0
+}
+;;
+
+{ .mmi
+      getf.exp      rSExpb = fY4Rcp                 // biased exponent and sign
+;;
+      getf.sig      rSig = fY4Rcp                   // significand
+      nop.i         0
+}
+;;
+
+{ .mfi
+      nop.m         0
+      fms.s1        fR = fY, fRcp, f1               // fR = fY * fRcp - 1
+      nop.i         0
+}
+;;
+
+{ .mmi
+      and           rExpb = rSExpb, rExpbMask
+;;
+      sub           rN = rExpb, rBias               // exponent
+      extr.u        rInd = rSig,55,8                // Extract 8 bits
+}
+;;
+
+{ .mmi
+      setf.sig      fN4Cvt = rN
+      shladd        RcpTablePtr = rInd, 4, RcpTablePtr
+      nop.i         0
+}
+;;
+
+{ .mfi
+      ldfe          fLogT = [RcpTablePtr]
+      fma.s1        fR2 = fR, fR, f0                // r^2
+      nop.i         0
+}
+{
+      nop.m         0
+      fma.s1        fP54 = fP5, fR, fP4             // P5*r + P4
+      nop.i         0
+}
+;;
+
+{ .mfi
+      nop.m         0
+      fma.s1        fP32 = fP3, fR, fP2             // P3*r + P2
+      nop.i         0
+}
+;;
+
+{ .mfi
+      nop.m         0
+      fma.s1        fR3 = fR2, fR, f0               // r^3
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        fP10 = fP1, fR2, fR             // P1*r^2 + r
+      nop.i         0
+}
+;;
+
+{ .mfi
+      nop.m         0
+      fcvt.xf       fN = fN4Cvt
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        fP54 = fP54, fR2, fP32      // (P5*r + P4)*r^2 + P3*r + P2
+      nop.i         0
+}
+;;
+
+{ .mfi
+      nop.m         0
+      fma.s1        fLogT_N = fN, fLog2, fLogT      // N*Log2 + LogT
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      // ((P5*r + P4)*r^2 + P3*r + P2)*r^3 + P1*r^2 + r
+      fma.s1        fP54 = fP54, fR3, fP10
+      nop.i         0
+}
+;;
+
+.pred.rel "mutex",p11,p10
+{ .mfi
+      nop.m         0
+      // 0.5*(((P5*r + P4)*r^2 + P3*r + P2)*r^3 + P1*r^2 + r) + 0.5*(N*Log2 + T)
+(p11) fnma.d.s0     f8 = fP54, fP1, fLogT_N
+      nop.i         0
+}
+{ .mfb
+      nop.m         0
+     // -0.5*(((P5*r + P4)*r^2 + P3*r + P2)*r^3 + P1*r^2 + r) - 0.5*(N*Log2 + T)
+(p10) fms.d.s0      f8 = fP54, fP1, fLogT_N
+      br.ret.sptk   b0                          // Exit for 0.25 <= |x| < 1.0
+}
+;;
+
+// Here if 0 < |x| < 0.25
+atanh_near_zero:
+{ .mfi
+      ldfe          fC4 = [Data2Ptr], 16
+      fma.s1        fP98 = fC9, fX2, fC8           // C9*x^2 + C8
+      nop.i         0
+}
+{ .mfi
+      ldfe          fC1 = [Data3Ptr], 16
+      fma.s1        fP76 = fC7, fX2, fC6           // C7*x^2 + C6
+      nop.i         0
+}
+;;
+
+{ .mfi
+      ldfe          fC3 = [Data2Ptr], 16
+      fma.s1        fX8 = fX4, fX4, f0             // x^8
+      nop.i         0
+}
+{ .mfi
+      ldfe          fC0 = [Data3Ptr], 16
+      nop.f         0
+      nop.i         0
+}
+;;
+
+{ .mfi
+      nop.m         0
+      fma.s1        fP98 = fP98, fX4, fP76     // C9*x^6 + C8*x^4 + C7*x^2 + C6
+      nop.i         0
+}
+;;
+
+{ .mfi
+      nop.m         0
+      fma.s1        fP54 = fC5, fX2, fC4           // C5*x^2 + C4
+      nop.i         0
+}
+;;
+
+{ .mfi
+      nop.m         0
+      fma.s1        fP32 = fC3, fX2, fC2           // C3*x^2 + C2
+      nop.i         0
+}
+;;
+
+{ .mfi
+      nop.m         0
+      fma.s1        fP10 = fC1, fX2, fC0           // C1*x^2 + C0
+      nop.i         0
+}
+;;
+
+{ .mfi
+      nop.m         0
+      fma.s1        fP54 = fP54, fX4, fP32      // C5*x^6 + C4*x^4 + C3*x^2 + C2
+      nop.i         0
+}
+;;
+
+{ .mfi
+      nop.m         0
+      // C9*x^14 + C8*x^12 + C7*x^10 + C6*x^8 + C5*x^6 + C4*x^4 + C3*x^2 + C2
+      fma.s1        fP98 = fP98, fX8, fP54
+      nop.i         0
+}
+;;
+
+{ .mfi
+      nop.m         0
+      // C9*x^18 + C8*x^16 + C7*x^14 + C6*x^12 + C5*x^10 + C4*x^8 + C3*x^6 +
+      // C2*x^4 + C1*x^2 + C0
+      fma.s1        fP98 = fP98, fX4, fP10
+      nop.i         0
+}
+;;
+
+{ .mfb
+      nop.m         0
+      // C9*x^21 + C8*x^19 + C7*x^17 + C6*x^15 + C5*x^13 + C4*x^11 + C3*x^9 +
+      // C2*x^7 + C1*x^5 + C0*x^3 + x
+      fma.d.s0      f8 = fP98, fX3, fNormX
+      br.ret.sptk   b0                           // Exit for 0 < |x| < 0.25
+}
+;;
+
+ATANH_UNORM:
+// Here if x=unorm
+{ .mfi
+      getf.exp      rArgSExpb = fNormX           // Recompute if x unorm
+      fclass.m      p0,p13 = fNormX, 0x0b        // Test x denorm
+      nop.i         0
+}
+;;
+
+{ .mfb
+      nop.m         0
+      fcmp.eq.s0    p7,p0 = f8, f0        // Dummy to set denormal flag
+(p13) br.cond.sptk  ATANH_COMMON          // Continue if x unorm and not denorm
+}
+;;
+
+.pred.rel "mutex",p10,p11
+{ .mfi
+      nop.m         0
+(p10) fnma.d.s0     f8 = f8,f8,f8                // Result x-x^2 if x=-denorm
+      nop.i         0
+}
+{ .mfb
+      nop.m         0
+(p11) fma.d.s0      f8 = f8,f8,f8                // Result x+x^2 if x=+denorm
+      br.ret.spnt   b0                           // Exit if denorm
+}
+;;
+
+// Here if |x| >= 1.0
+atanh_ge_one:
+{ .mfi
+      alloc         r32 = ar.pfs,1,3,4,0
+      fmerge.s      fAbsX = f0, f8          // Form |x|
+      nop.i         0
+}
+;;
+
+{ .mfi
+      nop.m         0
+      fmerge.s      f10 = f8, f8            // Save input for error call
+      nop.i         0
+}
+;;
+
+{ .mfi
+      nop.m         0
+      fcmp.eq.s1    p6,p7 = fAbsX, f1       // Test for |x| = 1.0
+      nop.i         0
+}
+;;
+
+// Set error tag and result, and raise invalid flag if |x| > 1.0
+{ .mfi
+(p7)  mov           atanh_GR_tag = 131
+(p7)  frcpa.s0      f8, p0 = f0, f0         // Get QNaN, and raise invalid
+      nop.i         0
+}
+;;
+
+// Set error tag and result, and raise Z flag if |x| = 1.0
+{ .mfi
+      nop.m         0
+(p6)  frcpa.s0      fRcp, p0 = f1, f0       // Get inf, and raise Z flag
+      nop.i         0
+}
+;;
+
+{ .mfb
+(p6)  mov           atanh_GR_tag = 132
+(p6)  fmerge.s      f8 = f8, fRcp           // result is +-inf
+      br.cond.sptk  __libm_error_region     // Exit if |x| >= 1.0
+}
+;;
+
+GLOBAL_LIBM_END(atanh)
+
+LOCAL_LIBM_ENTRY(__libm_error_region)
+.prologue
+
+{ .mfi
+      add           GR_Parameter_Y=-32,sp        // Parameter 2 value
+      nop.f         0
+.save   ar.pfs,GR_SAVE_PFS
+      mov           GR_SAVE_PFS=ar.pfs           // Save ar.pfs
+}
+{ .mfi
+.fframe 64
+      add sp=-64,sp                              // Create new stack
+      nop.f 0
+      mov GR_SAVE_GP=gp                          // Save gp
+};;
+
+{ .mmi
+      stfd [GR_Parameter_Y] = f1,16              // STORE Parameter 2 on stack
+      add GR_Parameter_X = 16,sp                 // Parameter 1 address
+.save   b0, GR_SAVE_B0
+      mov GR_SAVE_B0=b0                          // Save b0
+};;
+
+.body
+{ .mib
+      stfd [GR_Parameter_X] = f10                // STORE Parameter 1 on stack
+      add   GR_Parameter_RESULT = 0,GR_Parameter_Y  // Parameter 3 address
+      nop.b 0
+}
+{ .mib
+      stfd [GR_Parameter_Y] = f8                 // STORE Parameter 3 on stack
+      add   GR_Parameter_Y = -16,GR_Parameter_Y
+      br.call.sptk b0=__libm_error_support#      // Call error handling function
+};;
+
+{ .mmi
+      add   GR_Parameter_RESULT = 48,sp
+      nop.m 0
+      nop.i 0
+};;
+
+{ .mmi
+      ldfd  f8 = [GR_Parameter_RESULT]           // Get return result off stack
+.restore sp
+      add   sp = 64,sp                           // Restore stack pointer
+      mov   b0 = GR_SAVE_B0                      // Restore return address
+};;
+
+{ .mib
+      mov   gp = GR_SAVE_GP                      // Restore gp
+      mov   ar.pfs = GR_SAVE_PFS                 // Restore ar.pfs
+      br.ret.sptk     b0                         // Return
+};;
+
+LOCAL_LIBM_END(__libm_error_region)
+
+
+.type   __libm_error_support#,@function
+.global __libm_error_support#
diff --git a/sysdeps/ia64/fpu/e_atanhf.S b/sysdeps/ia64/fpu/e_atanhf.S
new file mode 100644
index 0000000000..3675c5f4c1
--- /dev/null
+++ b/sysdeps/ia64/fpu/e_atanhf.S
@@ -0,0 +1,844 @@
+.file "atanhf.s"
+
+
+// Copyright (c) 2000 - 2003, Intel Corporation
+// All rights reserved.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
+//
+// Redistribution and use in source and binary forms, with or without
+// modification, are permitted provided that the following conditions are
+// met:
+//
+// * Redistributions of source code must retain the above copyright
+// notice, this list of conditions and the following disclaimer.
+//
+// * Redistributions in binary form must reproduce the above copyright
+// notice, this list of conditions and the following disclaimer in the
+// documentation and/or other materials provided with the distribution.
+//
+// * The name of Intel Corporation may not be used to endorse or promote
+// products derived from this software without specific prior written
+// permission.
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
+// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
+// OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+//
+// Intel Corporation is the author of this code, and requests that all
+// problem reports or change requests be submitted to it directly at
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
+//
+// History
+//==============================================================
+// 05/22/01 Initial version
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 08/06/02 Improved Itanium 2 performance
+// 02/06/03 Reordered header: .section, .global, .proc, .align
+// 05/26/03 Improved performance, fixed to handle unorms
+//
+// API
+//==============================================================
+// float atanhf(float)
+//
+// Overview of operation
+//==============================================================
+// Background
+//
+//
+// There are 7 paths:
+// 1. x = +/-0.0
+//    Return atanhf(x) = +/-0.0
+//
+// 2. 0.0 < |x| <= MAX_DENORMAL_ABS
+//    Return atanhf(x) = x + sign(x)*x^2
+//
+// 3. MAX_DENORMAL_ABS < |x| < 2^(-20)
+//    Return atanhf(x) = Pol3(x), where Pol3(x) = x + x^3
+//
+// 4. 2^(-20) <= |x| < 1
+//    Return atanhf(x) = 0.5 * (log(1 + x) - log(1 - x))
+//    Algorithm description for log function see below.
+//
+// 5. |x| = 1
+//    Return atanhf(x) = sign(x) * +INF
+//
+// 6. 1 < |x| <= +INF
+//    Return atanhf(x) = QNaN
+//
+// 7. x = [S,Q]NaN
+//    Return atanhf(x) = QNaN
+//
+//==============================================================
+// Algorithm Description for log(x) function
+//
+// Consider  x = 2^N * 1.f1 f2 f3 f4...f63
+// log(x) = log(x * frcpa(x) / frcpa(x))
+//        = log(x * frcpa(x)) + log(1/frcpa(x))
+//        = log(x * frcpa(x)) - log(frcpa(x))
+//
+// frcpa(x) = 2^(-N) * frcpa(1.f1 f2 ... f63)
+//
+// -log(frcpa(x)) = -log(C)
+//                = -log(2^(-N)) - log(frcpa(1.f1 f2 ... f63))
+//
+// -log(frcpa(x)) = -log(C)
+//                = N*log2 - log(frcpa(1.f1 f2 ... f63))
+//
+//
+// log(x) = log(1/frcpa(x)) + log(frcpa(x) x)
+//
+// log(x) = N*log2 + log(1./frcpa(1.f1 f2 ... f63)) + log(x * frcpa(x))
+// log(x) = N*log2 + T                              + log(frcpa(x) x)
+//
+// Log(x) = N*log2 + T                              + log(C * x)
+//
+// C * x = 1 + r
+//
+// log(x) = N*log2 + T + log(1 + r)
+// log(x) = N*log2 + T + Series(r)
+//
+// 1.f1 f2 ... f8 has 256 entries.
+// They are 1 + k/2^8, k = 0 ... 255
+// These 256 values are the table entries.
+//
+// Implementation
+//==============================================================
+// C = frcpa(x)
+// r = C * x - 1
+//
+// Form rseries = r + P1*r^2 + P2*r^3 + P3*r^4
+//
+// x = f * 2*N where f is 1.f_1f_2f_3...f_63
+// Nfloat = float(n)  where n is the true unbiased exponent
+// pre-index = f_1f_2....f_8
+// index = pre_index * 16
+// get the dxt table entry at index + offset = T
+//
+// result = (T + Nfloat * log(2)) + rseries
+//
+// The T table is calculated as follows
+// Form x_k = 1 + k/2^8 where k goes from 0... 255
+//      y_k = frcpa(x_k)
+//      log(1/y_k)  in quad and round to double-extended
+
+// Registers used
+//==============================================================
+// Floating Point registers used:
+// f8, input
+// f32 -> f59
+
+// General registers used:
+// r14 -> r29, r32 -> r39
+
+// Predicate registers used:
+// p6 -> p9
+
+// p6           to filter out case when |x| >= 1
+// p7           to filter out case when x = [Q,S]NaN or +/-0
+// p8           to filter out case when |x| < 2^(-20)
+// p9           to filter out case when x = denormal
+
+
+// Assembly macros
+//==============================================================
+DataPtr               = r14
+RcpTablePtrM          = r15
+RcpTablePtrP          = r16
+rExpbMask             = r17
+rBias                 = r18
+rNearZeroBound        = r19
+rArgSExpb             = r20
+rArgExpb              = r21
+rExpbm                = r22
+rExpbp                = r23
+rSigm                 = r24
+rSigp                 = r25
+rNm                   = r26
+rNp                   = r27
+rIndm                 = r28
+rIndp                 = r29
+
+GR_SAVE_B0            = r33
+GR_SAVE_GP            = r34
+GR_SAVE_PFS           = r35
+
+GR_Parameter_X        = r36
+GR_Parameter_Y        = r37
+GR_Parameter_RESULT   = r38
+atanh_GR_tag          = r39
+
+//==============================================================
+fOneMx                = f33
+fOnePx                = f34
+fRm2                  = f35
+fRm3                  = f36
+fRp2                  = f37
+fRp3                  = f38
+fRcpM                 = f39
+fRcpP                 = f40
+fRp                   = f41
+fRm                   = f42
+fN4CvtM               = f43
+fN4CvtP               = f44
+fNm                   = f45
+fNp                   = f46
+fLogTm                = f47
+fLogTp                = f48
+fLog2                 = f49
+fArgAbs               = f50
+fNormX                = f50
+fP32m                 = f51
+fP32p                 = f52
+fP10m                 = f53
+fP10p                 = f54
+fX2                   = f55
+fP3                   = f56
+fP2                   = f57
+fP1                   = f58
+fHalf                 = f59
+
+
+
+// Data tables
+//==============================================================
+
+RODATA
+
+.align 16
+
+LOCAL_OBJECT_START(atanhf_data)
+data8 0xbfc0001008f39d59    // P3*0.5
+data8 0x3fc5556073e0c45a    // P2*0.5
+data8 0xbfcffffffffaea15    // P1*0.5
+data8 0x3fe0000000000000    // 0.5
+data8 0x3fd62e42fefa39ef    // 0.5*ln(2)
+data8 0x0000000000000000    // pad
+LOCAL_OBJECT_END(atanhf_data)
+
+LOCAL_OBJECT_START(atanhf_data2)
+data8 0x3f50040155d5889e    //log(1/frcpa(1+0/256))/2
+data8 0x3f68121214586b54    //log(1/frcpa(1+1/256))/2
+data8 0x3f741929f96832f0    //log(1/frcpa(1+2/256))/2
+data8 0x3f7c317384c75f06    //log(1/frcpa(1+3/256))/2
+data8 0x3f81a6b91ac73386    //log(1/frcpa(1+4/256))/2
+data8 0x3f85ba9a5d9ac039    //log(1/frcpa(1+5/256))/2
+data8 0x3f89d2a8074325f4    //log(1/frcpa(1+6/256))/2
+data8 0x3f8d6b2725979802    //log(1/frcpa(1+7/256))/2
+data8 0x3f90c58fa19dfaaa    //log(1/frcpa(1+8/256))/2
+data8 0x3f92954c78cbce1b    //log(1/frcpa(1+9/256))/2
+data8 0x3f94a94d2da96c56    //log(1/frcpa(1+10/256))/2
+data8 0x3f967c94f2d4bb58    //log(1/frcpa(1+11/256))/2
+data8 0x3f985188b630f068    //log(1/frcpa(1+12/256))/2
+data8 0x3f9a6b8abe73af4c    //log(1/frcpa(1+13/256))/2
+data8 0x3f9c441e06f72a9e    //log(1/frcpa(1+14/256))/2
+data8 0x3f9e1e6713606d07    //log(1/frcpa(1+15/256))/2
+data8 0x3f9ffa6911ab9301    //log(1/frcpa(1+16/256))/2
+data8 0x3fa0ec139c5da601    //log(1/frcpa(1+17/256))/2
+data8 0x3fa1dbd2643d190b    //log(1/frcpa(1+18/256))/2
+data8 0x3fa2cc7284fe5f1c    //log(1/frcpa(1+19/256))/2
+data8 0x3fa3bdf5a7d1ee64    //log(1/frcpa(1+20/256))/2
+data8 0x3fa4b05d7aa012e0    //log(1/frcpa(1+21/256))/2
+data8 0x3fa580db7ceb5702    //log(1/frcpa(1+22/256))/2
+data8 0x3fa674f089365a7a    //log(1/frcpa(1+23/256))/2
+data8 0x3fa769ef2c6b568d    //log(1/frcpa(1+24/256))/2
+data8 0x3fa85fd927506a48    //log(1/frcpa(1+25/256))/2
+data8 0x3fa9335e5d594989    //log(1/frcpa(1+26/256))/2
+data8 0x3faa2b0220c8e5f5    //log(1/frcpa(1+27/256))/2
+data8 0x3fab0004ac1a86ac    //log(1/frcpa(1+28/256))/2
+data8 0x3fabf968769fca11    //log(1/frcpa(1+29/256))/2
+data8 0x3faccfedbfee13a8    //log(1/frcpa(1+30/256))/2
+data8 0x3fada727638446a2    //log(1/frcpa(1+31/256))/2
+data8 0x3faea3257fe10f7a    //log(1/frcpa(1+32/256))/2
+data8 0x3faf7be9fedbfde6    //log(1/frcpa(1+33/256))/2
+data8 0x3fb02ab352ff25f4    //log(1/frcpa(1+34/256))/2
+data8 0x3fb097ce579d204d    //log(1/frcpa(1+35/256))/2
+data8 0x3fb1178e8227e47c    //log(1/frcpa(1+36/256))/2
+data8 0x3fb185747dbecf34    //log(1/frcpa(1+37/256))/2
+data8 0x3fb1f3b925f25d41    //log(1/frcpa(1+38/256))/2
+data8 0x3fb2625d1e6ddf57    //log(1/frcpa(1+39/256))/2
+data8 0x3fb2d1610c86813a    //log(1/frcpa(1+40/256))/2
+data8 0x3fb340c59741142e    //log(1/frcpa(1+41/256))/2
+data8 0x3fb3b08b6757f2a9    //log(1/frcpa(1+42/256))/2
+data8 0x3fb40dfb08378003    //log(1/frcpa(1+43/256))/2
+data8 0x3fb47e74e8ca5f7c    //log(1/frcpa(1+44/256))/2
+data8 0x3fb4ef51f6466de4    //log(1/frcpa(1+45/256))/2
+data8 0x3fb56092e02ba516    //log(1/frcpa(1+46/256))/2
+data8 0x3fb5d23857cd74d5    //log(1/frcpa(1+47/256))/2
+data8 0x3fb6313a37335d76    //log(1/frcpa(1+48/256))/2
+data8 0x3fb6a399dabbd383    //log(1/frcpa(1+49/256))/2
+data8 0x3fb70337dd3ce41b    //log(1/frcpa(1+50/256))/2
+data8 0x3fb77654128f6127    //log(1/frcpa(1+51/256))/2
+data8 0x3fb7e9d82a0b022d    //log(1/frcpa(1+52/256))/2
+data8 0x3fb84a6b759f512f    //log(1/frcpa(1+53/256))/2
+data8 0x3fb8ab47d5f5a310    //log(1/frcpa(1+54/256))/2
+data8 0x3fb91fe49096581b    //log(1/frcpa(1+55/256))/2
+data8 0x3fb981634011aa75    //log(1/frcpa(1+56/256))/2
+data8 0x3fb9f6c407089664    //log(1/frcpa(1+57/256))/2
+data8 0x3fba58e729348f43    //log(1/frcpa(1+58/256))/2
+data8 0x3fbabb55c31693ad    //log(1/frcpa(1+59/256))/2
+data8 0x3fbb1e104919efd0    //log(1/frcpa(1+60/256))/2
+data8 0x3fbb94ee93e367cb    //log(1/frcpa(1+61/256))/2
+data8 0x3fbbf851c067555f    //log(1/frcpa(1+62/256))/2
+data8 0x3fbc5c0254bf23a6    //log(1/frcpa(1+63/256))/2
+data8 0x3fbcc000c9db3c52    //log(1/frcpa(1+64/256))/2
+data8 0x3fbd244d99c85674    //log(1/frcpa(1+65/256))/2
+data8 0x3fbd88e93fb2f450    //log(1/frcpa(1+66/256))/2
+data8 0x3fbdedd437eaef01    //log(1/frcpa(1+67/256))/2
+data8 0x3fbe530effe71012    //log(1/frcpa(1+68/256))/2
+data8 0x3fbeb89a1648b971    //log(1/frcpa(1+69/256))/2
+data8 0x3fbf1e75fadf9bde    //log(1/frcpa(1+70/256))/2
+data8 0x3fbf84a32ead7c35    //log(1/frcpa(1+71/256))/2
+data8 0x3fbfeb2233ea07cd    //log(1/frcpa(1+72/256))/2
+data8 0x3fc028f9c7035c1c    //log(1/frcpa(1+73/256))/2
+data8 0x3fc05c8be0d9635a    //log(1/frcpa(1+74/256))/2
+data8 0x3fc085eb8f8ae797    //log(1/frcpa(1+75/256))/2
+data8 0x3fc0b9c8e32d1911    //log(1/frcpa(1+76/256))/2
+data8 0x3fc0edd060b78081    //log(1/frcpa(1+77/256))/2
+data8 0x3fc122024cf0063f    //log(1/frcpa(1+78/256))/2
+data8 0x3fc14be2927aecd4    //log(1/frcpa(1+79/256))/2
+data8 0x3fc180618ef18adf    //log(1/frcpa(1+80/256))/2
+data8 0x3fc1b50bbe2fc63b    //log(1/frcpa(1+81/256))/2
+data8 0x3fc1df4cc7cf242d    //log(1/frcpa(1+82/256))/2
+data8 0x3fc214456d0eb8d4    //log(1/frcpa(1+83/256))/2
+data8 0x3fc23ec5991eba49    //log(1/frcpa(1+84/256))/2
+data8 0x3fc2740d9f870afb    //log(1/frcpa(1+85/256))/2
+data8 0x3fc29ecdabcdfa04    //log(1/frcpa(1+86/256))/2
+data8 0x3fc2d46602adccee    //log(1/frcpa(1+87/256))/2
+data8 0x3fc2ff66b04ea9d4    //log(1/frcpa(1+88/256))/2
+data8 0x3fc335504b355a37    //log(1/frcpa(1+89/256))/2
+data8 0x3fc360925ec44f5d    //log(1/frcpa(1+90/256))/2
+data8 0x3fc38bf1c3337e75    //log(1/frcpa(1+91/256))/2
+data8 0x3fc3c25277333184    //log(1/frcpa(1+92/256))/2
+data8 0x3fc3edf463c1683e    //log(1/frcpa(1+93/256))/2
+data8 0x3fc419b423d5e8c7    //log(1/frcpa(1+94/256))/2
+data8 0x3fc44591e0539f49    //log(1/frcpa(1+95/256))/2
+data8 0x3fc47c9175b6f0ad    //log(1/frcpa(1+96/256))/2
+data8 0x3fc4a8b341552b09    //log(1/frcpa(1+97/256))/2
+data8 0x3fc4d4f3908901a0    //log(1/frcpa(1+98/256))/2
+data8 0x3fc501528da1f968    //log(1/frcpa(1+99/256))/2
+data8 0x3fc52dd06347d4f6    //log(1/frcpa(1+100/256))/2
+data8 0x3fc55a6d3c7b8a8a    //log(1/frcpa(1+101/256))/2
+data8 0x3fc5925d2b112a59    //log(1/frcpa(1+102/256))/2
+data8 0x3fc5bf406b543db2    //log(1/frcpa(1+103/256))/2
+data8 0x3fc5ec433d5c35ae    //log(1/frcpa(1+104/256))/2
+data8 0x3fc61965cdb02c1f    //log(1/frcpa(1+105/256))/2
+data8 0x3fc646a84935b2a2    //log(1/frcpa(1+106/256))/2
+data8 0x3fc6740add31de94    //log(1/frcpa(1+107/256))/2
+data8 0x3fc6a18db74a58c5    //log(1/frcpa(1+108/256))/2
+data8 0x3fc6cf31058670ec    //log(1/frcpa(1+109/256))/2
+data8 0x3fc6f180e852f0ba    //log(1/frcpa(1+110/256))/2
+data8 0x3fc71f5d71b894f0    //log(1/frcpa(1+111/256))/2
+data8 0x3fc74d5aefd66d5c    //log(1/frcpa(1+112/256))/2
+data8 0x3fc77b79922bd37e    //log(1/frcpa(1+113/256))/2
+data8 0x3fc7a9b9889f19e2    //log(1/frcpa(1+114/256))/2
+data8 0x3fc7d81b037eb6a6    //log(1/frcpa(1+115/256))/2
+data8 0x3fc8069e33827231    //log(1/frcpa(1+116/256))/2
+data8 0x3fc82996d3ef8bcb    //log(1/frcpa(1+117/256))/2
+data8 0x3fc85855776dcbfb    //log(1/frcpa(1+118/256))/2
+data8 0x3fc8873658327ccf    //log(1/frcpa(1+119/256))/2
+data8 0x3fc8aa75973ab8cf    //log(1/frcpa(1+120/256))/2
+data8 0x3fc8d992dc8824e5    //log(1/frcpa(1+121/256))/2
+data8 0x3fc908d2ea7d9512    //log(1/frcpa(1+122/256))/2
+data8 0x3fc92c59e79c0e56    //log(1/frcpa(1+123/256))/2
+data8 0x3fc95bd750ee3ed3    //log(1/frcpa(1+124/256))/2
+data8 0x3fc98b7811a3ee5b    //log(1/frcpa(1+125/256))/2
+data8 0x3fc9af47f33d406c    //log(1/frcpa(1+126/256))/2
+data8 0x3fc9df270c1914a8    //log(1/frcpa(1+127/256))/2
+data8 0x3fca0325ed14fda4    //log(1/frcpa(1+128/256))/2
+data8 0x3fca33440224fa79    //log(1/frcpa(1+129/256))/2
+data8 0x3fca57725e80c383    //log(1/frcpa(1+130/256))/2
+data8 0x3fca87d0165dd199    //log(1/frcpa(1+131/256))/2
+data8 0x3fcaac2e6c03f896    //log(1/frcpa(1+132/256))/2
+data8 0x3fcadccc6fdf6a81    //log(1/frcpa(1+133/256))/2
+data8 0x3fcb015b3eb1e790    //log(1/frcpa(1+134/256))/2
+data8 0x3fcb323a3a635948    //log(1/frcpa(1+135/256))/2
+data8 0x3fcb56fa04462909    //log(1/frcpa(1+136/256))/2
+data8 0x3fcb881aa659bc93    //log(1/frcpa(1+137/256))/2
+data8 0x3fcbad0bef3db165    //log(1/frcpa(1+138/256))/2
+data8 0x3fcbd21297781c2f    //log(1/frcpa(1+139/256))/2
+data8 0x3fcc039236f08819    //log(1/frcpa(1+140/256))/2
+data8 0x3fcc28cb1e4d32fd    //log(1/frcpa(1+141/256))/2
+data8 0x3fcc4e19b84723c2    //log(1/frcpa(1+142/256))/2
+data8 0x3fcc7ff9c74554c9    //log(1/frcpa(1+143/256))/2
+data8 0x3fcca57b64e9db05    //log(1/frcpa(1+144/256))/2
+data8 0x3fcccb130a5cebb0    //log(1/frcpa(1+145/256))/2
+data8 0x3fccf0c0d18f326f    //log(1/frcpa(1+146/256))/2
+data8 0x3fcd232075b5a201    //log(1/frcpa(1+147/256))/2
+data8 0x3fcd490246defa6b    //log(1/frcpa(1+148/256))/2
+data8 0x3fcd6efa918d25cd    //log(1/frcpa(1+149/256))/2
+data8 0x3fcd9509707ae52f    //log(1/frcpa(1+150/256))/2
+data8 0x3fcdbb2efe92c554    //log(1/frcpa(1+151/256))/2
+data8 0x3fcdee2f3445e4af    //log(1/frcpa(1+152/256))/2
+data8 0x3fce148a1a2726ce    //log(1/frcpa(1+153/256))/2
+data8 0x3fce3afc0a49ff40    //log(1/frcpa(1+154/256))/2
+data8 0x3fce6185206d516e    //log(1/frcpa(1+155/256))/2
+data8 0x3fce882578823d52    //log(1/frcpa(1+156/256))/2
+data8 0x3fceaedd2eac990c    //log(1/frcpa(1+157/256))/2
+data8 0x3fced5ac5f436be3    //log(1/frcpa(1+158/256))/2
+data8 0x3fcefc9326d16ab9    //log(1/frcpa(1+159/256))/2
+data8 0x3fcf2391a2157600    //log(1/frcpa(1+160/256))/2
+data8 0x3fcf4aa7ee03192d    //log(1/frcpa(1+161/256))/2
+data8 0x3fcf71d627c30bb0    //log(1/frcpa(1+162/256))/2
+data8 0x3fcf991c6cb3b379    //log(1/frcpa(1+163/256))/2
+data8 0x3fcfc07ada69a910    //log(1/frcpa(1+164/256))/2
+data8 0x3fcfe7f18eb03d3e    //log(1/frcpa(1+165/256))/2
+data8 0x3fd007c053c5002e    //log(1/frcpa(1+166/256))/2
+data8 0x3fd01b942198a5a1    //log(1/frcpa(1+167/256))/2
+data8 0x3fd02f74400c64eb    //log(1/frcpa(1+168/256))/2
+data8 0x3fd04360be7603ad    //log(1/frcpa(1+169/256))/2
+data8 0x3fd05759ac47fe34    //log(1/frcpa(1+170/256))/2
+data8 0x3fd06b5f1911cf52    //log(1/frcpa(1+171/256))/2
+data8 0x3fd078bf0533c568    //log(1/frcpa(1+172/256))/2
+data8 0x3fd08cd9687e7b0e    //log(1/frcpa(1+173/256))/2
+data8 0x3fd0a10074cf9019    //log(1/frcpa(1+174/256))/2
+data8 0x3fd0b5343a234477    //log(1/frcpa(1+175/256))/2
+data8 0x3fd0c974c89431ce    //log(1/frcpa(1+176/256))/2
+data8 0x3fd0ddc2305b9886    //log(1/frcpa(1+177/256))/2
+data8 0x3fd0eb524bafc918    //log(1/frcpa(1+178/256))/2
+data8 0x3fd0ffb54213a476    //log(1/frcpa(1+179/256))/2
+data8 0x3fd114253da97d9f    //log(1/frcpa(1+180/256))/2
+data8 0x3fd128a24f1d9aff    //log(1/frcpa(1+181/256))/2
+data8 0x3fd1365252bf0865    //log(1/frcpa(1+182/256))/2
+data8 0x3fd14ae558b4a92d    //log(1/frcpa(1+183/256))/2
+data8 0x3fd15f85a19c765b    //log(1/frcpa(1+184/256))/2
+data8 0x3fd16d4d38c119fa    //log(1/frcpa(1+185/256))/2
+data8 0x3fd18203c20dd133    //log(1/frcpa(1+186/256))/2
+data8 0x3fd196c7bc4b1f3b    //log(1/frcpa(1+187/256))/2
+data8 0x3fd1a4a738b7a33c    //log(1/frcpa(1+188/256))/2
+data8 0x3fd1b981c0c9653d    //log(1/frcpa(1+189/256))/2
+data8 0x3fd1ce69e8bb106b    //log(1/frcpa(1+190/256))/2
+data8 0x3fd1dc619de06944    //log(1/frcpa(1+191/256))/2
+data8 0x3fd1f160a2ad0da4    //log(1/frcpa(1+192/256))/2
+data8 0x3fd2066d7740737e    //log(1/frcpa(1+193/256))/2
+data8 0x3fd2147dba47a394    //log(1/frcpa(1+194/256))/2
+data8 0x3fd229a1bc5ebac3    //log(1/frcpa(1+195/256))/2
+data8 0x3fd237c1841a502e    //log(1/frcpa(1+196/256))/2
+data8 0x3fd24cfce6f80d9a    //log(1/frcpa(1+197/256))/2
+data8 0x3fd25b2c55cd5762    //log(1/frcpa(1+198/256))/2
+data8 0x3fd2707f4d5f7c41    //log(1/frcpa(1+199/256))/2
+data8 0x3fd285e0842ca384    //log(1/frcpa(1+200/256))/2
+data8 0x3fd294294708b773    //log(1/frcpa(1+201/256))/2
+data8 0x3fd2a9a2670aff0c    //log(1/frcpa(1+202/256))/2
+data8 0x3fd2b7fb2c8d1cc1    //log(1/frcpa(1+203/256))/2
+data8 0x3fd2c65a6395f5f5    //log(1/frcpa(1+204/256))/2
+data8 0x3fd2dbf557b0df43    //log(1/frcpa(1+205/256))/2
+data8 0x3fd2ea64c3f97655    //log(1/frcpa(1+206/256))/2
+data8 0x3fd3001823684d73    //log(1/frcpa(1+207/256))/2
+data8 0x3fd30e97e9a8b5cd    //log(1/frcpa(1+208/256))/2
+data8 0x3fd32463ebdd34ea    //log(1/frcpa(1+209/256))/2
+data8 0x3fd332f4314ad796    //log(1/frcpa(1+210/256))/2
+data8 0x3fd348d90e7464d0    //log(1/frcpa(1+211/256))/2
+data8 0x3fd35779f8c43d6e    //log(1/frcpa(1+212/256))/2
+data8 0x3fd36621961a6a99    //log(1/frcpa(1+213/256))/2
+data8 0x3fd37c299f3c366a    //log(1/frcpa(1+214/256))/2
+data8 0x3fd38ae2171976e7    //log(1/frcpa(1+215/256))/2
+data8 0x3fd399a157a603e7    //log(1/frcpa(1+216/256))/2
+data8 0x3fd3afccfe77b9d1    //log(1/frcpa(1+217/256))/2
+data8 0x3fd3be9d503533b5    //log(1/frcpa(1+218/256))/2
+data8 0x3fd3cd7480b4a8a3    //log(1/frcpa(1+219/256))/2
+data8 0x3fd3e3c43918f76c    //log(1/frcpa(1+220/256))/2
+data8 0x3fd3f2acb27ed6c7    //log(1/frcpa(1+221/256))/2
+data8 0x3fd4019c2125ca93    //log(1/frcpa(1+222/256))/2
+data8 0x3fd4181061389722    //log(1/frcpa(1+223/256))/2
+data8 0x3fd42711518df545    //log(1/frcpa(1+224/256))/2
+data8 0x3fd436194e12b6bf    //log(1/frcpa(1+225/256))/2
+data8 0x3fd445285d68ea69    //log(1/frcpa(1+226/256))/2
+data8 0x3fd45bcc464c893a    //log(1/frcpa(1+227/256))/2
+data8 0x3fd46aed21f117fc    //log(1/frcpa(1+228/256))/2
+data8 0x3fd47a1527e8a2d3    //log(1/frcpa(1+229/256))/2
+data8 0x3fd489445efffccc    //log(1/frcpa(1+230/256))/2
+data8 0x3fd4a018bcb69835    //log(1/frcpa(1+231/256))/2
+data8 0x3fd4af5a0c9d65d7    //log(1/frcpa(1+232/256))/2
+data8 0x3fd4bea2a5bdbe87    //log(1/frcpa(1+233/256))/2
+data8 0x3fd4cdf28f10ac46    //log(1/frcpa(1+234/256))/2
+data8 0x3fd4dd49cf994058    //log(1/frcpa(1+235/256))/2
+data8 0x3fd4eca86e64a684    //log(1/frcpa(1+236/256))/2
+data8 0x3fd503c43cd8eb68    //log(1/frcpa(1+237/256))/2
+data8 0x3fd513356667fc57    //log(1/frcpa(1+238/256))/2
+data8 0x3fd522ae0738a3d8    //log(1/frcpa(1+239/256))/2
+data8 0x3fd5322e26867857    //log(1/frcpa(1+240/256))/2
+data8 0x3fd541b5cb979809    //log(1/frcpa(1+241/256))/2
+data8 0x3fd55144fdbcbd62    //log(1/frcpa(1+242/256))/2
+data8 0x3fd560dbc45153c7    //log(1/frcpa(1+243/256))/2
+data8 0x3fd5707a26bb8c66    //log(1/frcpa(1+244/256))/2
+data8 0x3fd587f60ed5b900    //log(1/frcpa(1+245/256))/2
+data8 0x3fd597a7977c8f31    //log(1/frcpa(1+246/256))/2
+data8 0x3fd5a760d634bb8b    //log(1/frcpa(1+247/256))/2
+data8 0x3fd5b721d295f10f    //log(1/frcpa(1+248/256))/2
+data8 0x3fd5c6ea94431ef9    //log(1/frcpa(1+249/256))/2
+data8 0x3fd5d6bb22ea86f6    //log(1/frcpa(1+250/256))/2
+data8 0x3fd5e6938645d390    //log(1/frcpa(1+251/256))/2
+data8 0x3fd5f673c61a2ed2    //log(1/frcpa(1+252/256))/2
+data8 0x3fd6065bea385926    //log(1/frcpa(1+253/256))/2
+data8 0x3fd6164bfa7cc06b    //log(1/frcpa(1+254/256))/2
+data8 0x3fd62643fecf9743    //log(1/frcpa(1+255/256))/2
+LOCAL_OBJECT_END(atanhf_data2)
+
+
+.section .text
+GLOBAL_LIBM_ENTRY(atanhf)
+
+{ .mfi
+      getf.exp      rArgSExpb = f8
+      fclass.m      p9,p0 = f8, 0x0b        // is arg denormal ?
+      mov           rExpbMask = 0x1ffff
+}
+{ .mfi
+      addl          DataPtr = @ltoff(atanhf_data), gp
+      fnma.s1       fOneMx = f8, f1, f1     // 1 - x
+      mov           rBias = 0xffff
+}
+;;
+
+{ .mfi
+      nop.m         0
+      fclass.m      p7,p0 = f8, 0xc7        // is arg NaN or +/-0 ?
+      mov           rNearZeroBound = 0xffeb // 2^(-20)
+}
+{ .mfi
+      ld8           DataPtr = [DataPtr]
+      fma.s1        fOnePx = f8, f1, f1     // 1 + x
+      nop.i         0
+}
+;;
+
+{ .mfb
+      nop.m         0
+      fnorm.s1      fNormX = f8                     // Normalize x
+(p9)  br.cond.spnt  ATANH_UNORM                     // Branch if x=unorm
+}
+;;
+
+ATANH_COMMON:
+// Return here if x=unorm and not denorm
+{ .mfi
+      ldfpd         fP3, fP2 = [DataPtr], 16
+      fma.s1        fX2 = f8, f8, f0        // x^2
+      nop.i         0
+}
+{ .mfb
+      nop.m         0
+(p7)  fma.s.s0      f8 =  f8,f1,f8          // NaN or +/-0
+(p7)  br.ret.spnt   b0
+}
+;;
+
+{ .mfi
+      ldfpd         fP1, fHalf = [DataPtr], 16
+      frcpa.s1      fRcpM, p9 = f1, fOneMx  // rcpm = frcpa(1 - x)
+      nop.i         0
+}
+;;
+
+{ .mfi
+      getf.exp      rExpbm = fOneMx
+      frcpa.s1      fRcpP, p0 = f1, fOnePx  // rcpp = frcpa(1 + x)
+      // biased exponent
+      and           rArgExpb = rArgSExpb, rExpbMask
+}
+;;
+
+{ .mmi
+      getf.exp      rExpbp = fOnePx
+      // is |x| < 2^(-20) ?
+      cmp.gt        p8,p0 = rNearZeroBound, rArgExpb
+      cmp.ge        p6,p0 = rArgExpb, rBias // is |x| >= 1 ?
+}
+;;
+
+{ .mmb
+      getf.sig      rSigm = fOneMx
+      nop.m         0
+(p6)  br.cond.spnt  atanhf_ge_one
+}
+;;
+
+{ .mfb
+      getf.sig      rSigp = fOnePx
+(p8)  fma.s.s0      f8 =  fX2, f8, f8  // x + x^3
+(p8)  br.ret.spnt   b0                 // Exit for MAX_DENORM_ABS < |x| < 2^-20
+}
+;;
+
+{ .mfi
+      ldfd          fLog2 = [DataPtr], 16
+      fms.s1        fRm = fRcpM, fOneMx, f1 // rm = rcpm * (1 - x) - 1
+      nop.i         0
+}
+;;
+
+{ .mmf
+      // (1 - x) is always positive here and we need not mask sign bit
+      sub           rNm = rExpbm, rBias
+      // (1 + x) is always positive here and we need not mask sign bit
+      sub           rNp = rExpbp, rBias
+      fms.s1        fRp = fRcpP, fOnePx, f1 // rp = rcpp * (1 + x) - 1
+}
+;;
+
+{ .mmi
+      setf.sig      fN4CvtM = rNm
+      setf.sig      fN4CvtP = rNp
+      extr.u        rIndm = rSigm,55,8                // Extract 8 bits
+}
+;;
+
+{ .mmi
+      shladd        RcpTablePtrM = rIndm, 3, DataPtr
+      nop.m         0
+      extr.u        rIndp = rSigp,55,8                // Extract 8 bits
+}
+;;
+
+{ .mmi
+      ldfd          fLogTm = [RcpTablePtrM]
+      shladd        RcpTablePtrP = rIndp, 3, DataPtr
+      nop.i         0
+}
+;;
+
+{ .mfi
+      ldfd          fLogTp = [RcpTablePtrP]
+      fma.s1        fRm2 = fRm, fRm, f0     // rm^2
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        fP32m = fP3, fRm, fP2   // P3*rm + P2
+      nop.i         0
+}
+;;
+
+{ .mfi
+      nop.m         0
+      fma.s1        fRp2 = fRp, fRp, f0     // rp^2
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        fP10m = fP1, fRm, fHalf   // P1*rm + 1
+      nop.i         0
+}
+;;
+
+{ .mfi
+      nop.m         0
+      fma.s1        fP32p = fP3, fRp, fP2   // P3*rp + P2
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        fP10p = fP1, fRp, fHalf   // P1*rp + 1
+      nop.i         0
+}
+;;
+
+{ .mfi
+      nop.m         0
+      fcvt.xf       fNm = fN4CvtM
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fcvt.xf       fNp = fN4CvtP
+      nop.i         0
+}
+;;
+
+{ .mfi
+      nop.m         0
+      // (P3*rm + P2)*rm^2 + (P1*rm + 1)
+      fma.s1        fP32m = fP32m, fRm2, fP10m
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      // (P3*rp + P2)*rp^2 + (P1*rp + 1)
+      fma.s1        fP32p = fP32p, fRp2, fP10p
+      nop.i         0
+}
+;;
+
+{ .mfi
+      nop.m         0
+      // Nm*ln(2)/2 + Tm/2
+      fma.s1        fLogTm = fNm, fLog2, fLogTm
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      // Np*ln(2)/2 + Tp/2
+      fma.s1        fLogTp = fNp, fLog2, fLogTp
+      nop.i         0
+}
+;;
+
+{ .mfi
+      nop.m         0
+      // ((P3*rm + P2)*rm^2 + (P3*rm + 1))*0.5*rm + (Nm*ln(2)/2 + Tm/2)
+      fma.d.s1      fP32m = fP32m, fRm, fLogTm
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      // ((P3*rp + P2)*rp^2 + (P3*rp + 1))*0.5*rp + (Np*ln(2)/2 + Tp/2)
+      fma.d.s1      fP32p = fP32p, fRp, fLogTp
+      nop.i         0
+}
+;;
+
+{ .mfb
+      nop.m         0
+      // atanhf(x) = 0.5 * (log(1 + x) - log(1 - x))
+      fnma.s.s0     f8 = fP32m, f1, fP32p
+      br.ret.sptk   b0                      // Exit for 2^(-20) <= |x| < 1.0
+}
+;;
+
+
+ATANH_UNORM:
+// Here if x=unorm
+{ .mfi
+      getf.exp      rArgSExpb = fNormX           // Recompute if x unorm
+      fclass.m      p0,p9 = fNormX, 0x0b         // Test x denorm
+      nop.i         0
+}
+;;
+
+{ .mfb
+      nop.m         0
+      fcmp.lt.s0    p10,p11 = f8, f0      // Set denormal flag
+(p9)  br.cond.sptk  ATANH_COMMON          // Continue if x unorm and not denorm
+}
+;;
+
+.pred.rel "mutex",p6,p7
+{ .mfi
+      nop.m         0
+(p6)  fnma.s.s0     f8 = f8,f8,f8                // Result x-x^2 if x=-denorm
+      nop.i         0
+}
+{ .mfb
+      nop.m         0
+(p7)  fma.s.s0      f8 = f8,f8,f8                // Result x+x^2 if x=+denorm
+      br.ret.spnt   b0                           // Exit if denorm
+}
+;;
+
+// Here if |x| >= 1.0
+atanhf_ge_one:
+{ .mfi
+      alloc         r32 = ar.pfs,1,3,4,0
+      fmerge.s      fArgAbs = f0, f8        // Form |x|
+      nop.i         0
+}
+;;
+
+{ .mfi
+      nop.m         0
+      fmerge.s      f10 = f8, f8            // Save input for error call
+      nop.i         0
+}
+;;
+
+{ .mfi
+      nop.m         0
+      fcmp.eq.s1    p6,p7 = fArgAbs, f1     // Test for |x| = 1.0
+      nop.i         0
+}
+;;
+
+// Set error tag and result, and raise invalid flag if |x| > 1.0
+{ .mfi
+(p7)  mov           atanh_GR_tag = 133
+(p7)  frcpa.s0      f8, p0 = f0, f0         // Get QNaN, and raise invalid
+      nop.i         0
+}
+;;
+
+// Set error tag and result, and raise Z flag if |x| = 1.0
+{ .mfi
+      nop.m         0
+(p6)  frcpa.s0      fRm, p0 = f1, f0        // Get inf, and raise Z flag
+      nop.i         0
+}
+;;
+
+{ .mfb
+(p6)  mov           atanh_GR_tag = 134
+(p6)  fmerge.s      f8 = f8, fRm            // result is +-inf
+      br.cond.sptk  __libm_error_region     // Exit if |x| >= 1.0
+}
+;;
+
+GLOBAL_LIBM_END(atanhf)
+
+LOCAL_LIBM_ENTRY(__libm_error_region)
+.prologue
+
+{ .mfi
+      add           GR_Parameter_Y=-32,sp   // Parameter 2 value
+      nop.f         0
+.save   ar.pfs,GR_SAVE_PFS
+      mov           GR_SAVE_PFS=ar.pfs      // Save ar.pfs
+}
+{ .mfi
+.fframe 64
+      add sp=-64,sp                         // Create new stack
+      nop.f 0
+      mov GR_SAVE_GP=gp                     // Save gp
+};;
+
+{ .mmi
+      stfs [GR_Parameter_Y] = f1,16         // STORE Parameter 2 on stack
+      add GR_Parameter_X = 16,sp            // Parameter 1 address
+.save   b0, GR_SAVE_B0
+      mov GR_SAVE_B0=b0                     // Save b0
+};;
+
+.body
+{ .mib
+      stfs [GR_Parameter_X] = f10           // STORE Parameter 1 on stack
+      // Parameter 3 address
+      add   GR_Parameter_RESULT = 0,GR_Parameter_Y
+      nop.b 0
+}
+{ .mib
+      stfs [GR_Parameter_Y] = f8            // STORE Parameter 3 on stack
+      add   GR_Parameter_Y = -16,GR_Parameter_Y
+      br.call.sptk b0=__libm_error_support# // Call error handling function
+};;
+
+{ .mmi
+      add   GR_Parameter_RESULT = 48,sp
+      nop.m 0
+      nop.i 0
+};;
+
+{ .mmi
+      ldfs  f8 = [GR_Parameter_RESULT]      // Get return result off stack
+.restore sp
+      add   sp = 64,sp                      // Restore stack pointer
+      mov   b0 = GR_SAVE_B0                 // Restore return address
+};;
+
+{ .mib
+      mov   gp = GR_SAVE_GP                 // Restore gp
+      mov   ar.pfs = GR_SAVE_PFS            // Restore ar.pfs
+      br.ret.sptk     b0                    // Return
+};;
+
+LOCAL_LIBM_END(__libm_error_region)
+
+
+.type   __libm_error_support#,@function
+.global __libm_error_support#
diff --git a/sysdeps/ia64/fpu/e_atanhl.S b/sysdeps/ia64/fpu/e_atanhl.S
new file mode 100644
index 0000000000..8266bd56fb
--- /dev/null
+++ b/sysdeps/ia64/fpu/e_atanhl.S
@@ -0,0 +1,1155 @@
+.file "atanhl.s" 
+
+
+// Copyright (c) 2001 - 2003, Intel Corporation
+// All rights reserved.
+//
+// Contributed 2001 by the Intel Numerics Group, Intel Corporation
+//
+// Redistribution and use in source and binary forms, with or without
+// modification, are permitted provided that the following conditions are
+// met:
+//
+// * Redistributions of source code must retain the above copyright
+// notice, this list of conditions and the following disclaimer.
+//
+// * Redistributions in binary form must reproduce the above copyright
+// notice, this list of conditions and the following disclaimer in the
+// documentation and/or other materials provided with the distribution.
+//
+// * The name of Intel Corporation may not be used to endorse or promote
+// products derived from this software without specific prior written
+// permission.
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES,INCLUDING,BUT NOT 
+// LIMITED TO,THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS 
+// CONTRIBUTORS BE LIABLE FOR ANY DIRECT,INDIRECT,INCIDENTAL,SPECIAL,
+// EXEMPLARY,OR CONSEQUENTIAL DAMAGES (INCLUDING,BUT NOT LIMITED TO,
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,DATA,OR 
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY 
+// OF LIABILITY,WHETHER IN CONTRACT,STRICT LIABILITY OR TORT (INCLUDING
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 
+// SOFTWARE,EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 
+// 
+// Intel Corporation is the author of this code,and requests that all
+// problem reports or change requests be submitted to it directly at 
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
+//
+//*********************************************************************
+//
+// History: 
+// 09/10/01  Initial version
+// 12/11/01  Corrected .restore syntax
+// 05/20/02  Cleaned up namespace and sf0 syntax
+// 02/10/03  Reordered header: .section, .global, .proc, .align;
+//           used data8 for long double table values
+//
+//*********************************************************************
+//
+//*********************************************************************
+//
+// Function: atanhl(x) computes the principle value of the inverse 
+// hyperbolic tangent of x.
+//
+//*********************************************************************
+//
+// Resources Used:
+//
+//    Floating-Point Registers: f8 (Input and Return Value)
+//                              f33-f73
+//
+//    General Purpose Registers:
+//      r32-r52
+//      r49-r52 (Used to pass arguments to error handling routine)
+//
+//    Predicate Registers:      p6-p15
+//
+//*********************************************************************
+//
+// IEEE Special Conditions:
+//
+//    atanhl(inf) = QNaN
+//    atanhl(-inf) = QNaN 
+//    atanhl(+/-0) = +/-0 
+//    atanhl(1) =  +inf 
+//    atanhl(-1) =  -inf 
+//    atanhl(|x|>1) = QNaN
+//    atanhl(SNaN) = QNaN
+//    atanhl(QNaN) = QNaN
+//
+//*********************************************************************
+//
+// Overview
+//
+// The method consists of two cases.
+//
+// If      |x| < 1/32  use case atanhl_near_zero;
+// else                 use case atanhl_regular;
+//
+// Case atanhl_near_zero:
+//
+//   atanhl(x) can be approximated by the Taylor series expansion
+//   up to order 17.
+//
+// Case atanhl_regular:
+//
+//   Here we use formula atanhl(x) = sign(x)*log1pl(2*|x|/(1-|x|))/2 and
+//   calculation is subdivided into two stages. The first stage is 
+//   calculating of X = 2*|x|/(1-|x|). The second one is calculating of 
+//   sign(x)*log1pl(X)/2. To obtain required accuracy we use precise division
+//   algorythm output of which is a pair of two extended precision values those
+//   approximate result of division with accuracy higher than working
+//   precision. This pair is passed to modified log1pl function.
+//
+//
+//   1. calculating of X = 2*|x|/(1-|x|)
+//   ( based on Peter Markstein's "IA-64 and Elementary Functions" book )
+//   ********************************************************************
+//
+//     a = 2*|x|
+//     b = 1 - |x|
+//     b_lo = |x| - (1 - b)
+//
+//     y = frcpa(b)         initial approximation of 1/b
+//     q = a*y              initial approximation of a/b
+//     
+//     e = 1 - b*y
+//     e2 = e + e^2
+//     e1 = e^2
+//     y1 = y + y*e2 = y + y*(e+e^2)
+//
+//     e3 = e + e1^2
+//     y2 = y + y1*e3 = y + y*(e+e^2+..+e^6)
+//
+//     r = a - b*q
+//     e = 1 - b*y2
+//     X = q + r*y2         high part of a/b
+//
+//     y3 = y2 + y2*e4
+//     r1 = a - b*X
+//     r1 = r1 - b_lo*X
+//     X_lo = r1*y3         low part of a/b
+//  
+//   2. special log1p algorithm overview
+//   ***********************************
+//
+//    Here we use a table lookup method. The basic idea is that in
+//    order to compute logl(Arg) = log1pl (Arg-1) for an argument Arg in [1,2), 
+//    we construct a value G such that G*Arg is close to 1 and that
+//    logl(1/G) is obtainable easily from a table of values calculated
+//    beforehand. Thus
+//
+//      logl(Arg) = logl(1/G) + logl(G*Arg)
+//           = logl(1/G) + logl(1 + (G*Arg - 1))
+//
+//    Because |G*Arg - 1| is small, the second term on the right hand
+//    side can be approximated by a short polynomial. We elaborate
+//    this method in several steps.
+//
+//    Step 0: Initialization
+//    ------
+//    We need to calculate logl(X + X_lo + 1). Obtain N, S_hi such that
+//
+//      X + X_lo + 1 = 2^N * ( S_hi + S_lo )   exactly
+//
+//    where S_hi in [1,2) and S_lo is a correction to S_hi in the sense
+//    that |S_lo| <= ulp(S_hi).
+//
+//    For the special version of log1p we add X_lo to S_lo (S_lo = S_lo + X_lo)
+//    !-----------------------------------------------------------------------!
+//
+//    Step 1: Argument Reduction
+//    ------
+//    Based on S_hi, obtain G_1, G_2, G_3 from a table and calculate
+//
+//      G := G_1 * G_2 * G_3
+//      r := (G * S_hi - 1) + G * S_lo
+//
+//    These G_j's have the property that the product is exactly 
+//    representable and that |r| < 2^(-12) as a result.
+//
+//    Step 2: Approximation
+//    ------
+//    logl(1 + r) is approximated by a short polynomial poly(r).
+//
+//    Step 3: Reconstruction
+//    ------
+//    Finally, log1pl(X + X_lo) = logl(X + X_lo + 1) is given by
+//
+//    logl(X + X_lo + 1) =  logl(2^N * (S_hi + S_lo))
+//                      ~=~ N*logl(2) + logl(1/G) + logl(1 + r)
+//                      ~=~ N*logl(2) + logl(1/G) + poly(r).
+//
+//    For detailed description see log1p1 function, regular path.
+//
+//*********************************************************************
+
+RODATA
+.align 64
+
+// ************* DO NOT CHANGE THE ORDER OF THESE TABLES *************
+
+LOCAL_OBJECT_START(Constants_TaylorSeries)
+data8  0xF0F0F0F0F0F0F0F1,0x00003FFA // C17
+data8  0x8888888888888889,0x00003FFB // C15
+data8  0x9D89D89D89D89D8A,0x00003FFB // C13
+data8  0xBA2E8BA2E8BA2E8C,0x00003FFB // C11
+data8  0xE38E38E38E38E38E,0x00003FFB // C9
+data8  0x9249249249249249,0x00003FFC // C7
+data8  0xCCCCCCCCCCCCCCCD,0x00003FFC // C5
+data8  0xAAAAAAAAAAAAAAAA,0x00003FFD // C3
+data4  0x3f000000                    // 1/2
+data4  0x00000000                    // pad 
+data4  0x00000000
+data4  0x00000000
+LOCAL_OBJECT_END(Constants_TaylorSeries)
+
+LOCAL_OBJECT_START(Constants_Q)
+data4  0x00000000,0xB1721800,0x00003FFE,0x00000000 // log2_hi
+data4  0x4361C4C6,0x82E30865,0x0000BFE2,0x00000000 // log2_lo
+data4  0x328833CB,0xCCCCCAF2,0x00003FFC,0x00000000 // Q4
+data4  0xA9D4BAFB,0x80000077,0x0000BFFD,0x00000000 // Q3
+data4  0xAAABE3D2,0xAAAAAAAA,0x00003FFD,0x00000000 // Q2
+data4  0xFFFFDAB7,0xFFFFFFFF,0x0000BFFD,0x00000000 // Q1
+LOCAL_OBJECT_END(Constants_Q)
+
+
+// Z1 - 16 bit fixed
+LOCAL_OBJECT_START(Constants_Z_1)
+data4  0x00008000
+data4  0x00007879
+data4  0x000071C8
+data4  0x00006BCB
+data4  0x00006667
+data4  0x00006187
+data4  0x00005D18
+data4  0x0000590C
+data4  0x00005556
+data4  0x000051EC
+data4  0x00004EC5
+data4  0x00004BDB
+data4  0x00004925
+data4  0x0000469F
+data4  0x00004445
+data4  0x00004211
+LOCAL_OBJECT_END(Constants_Z_1)
+
+// G1 and H1 - IEEE single and h1 - IEEE double
+LOCAL_OBJECT_START(Constants_G_H_h1)
+data4  0x3F800000,0x00000000
+data8  0x0000000000000000
+data4  0x3F70F0F0,0x3D785196
+data8  0x3DA163A6617D741C
+data4  0x3F638E38,0x3DF13843
+data8  0x3E2C55E6CBD3D5BB
+data4  0x3F579430,0x3E2FF9A0
+data8  0xBE3EB0BFD86EA5E7
+data4  0x3F4CCCC8,0x3E647FD6
+data8  0x3E2E6A8C86B12760
+data4  0x3F430C30,0x3E8B3AE7
+data8  0x3E47574C5C0739BA
+data4  0x3F3A2E88,0x3EA30C68
+data8  0x3E20E30F13E8AF2F
+data4  0x3F321640,0x3EB9CEC8
+data8  0xBE42885BF2C630BD
+data4  0x3F2AAAA8,0x3ECF9927
+data8  0x3E497F3497E577C6
+data4  0x3F23D708,0x3EE47FC5
+data8  0x3E3E6A6EA6B0A5AB
+data4  0x3F1D89D8,0x3EF8947D
+data8  0xBDF43E3CD328D9BE
+data4  0x3F17B420,0x3F05F3A1
+data8  0x3E4094C30ADB090A
+data4  0x3F124920,0x3F0F4303
+data8  0xBE28FBB2FC1FE510
+data4  0x3F0D3DC8,0x3F183EBF
+data8  0x3E3A789510FDE3FA
+data4  0x3F088888,0x3F20EC80
+data8  0x3E508CE57CC8C98F
+data4  0x3F042108,0x3F29516A
+data8  0xBE534874A223106C
+LOCAL_OBJECT_END(Constants_G_H_h1)
+
+// Z2 - 16 bit fixed
+LOCAL_OBJECT_START(Constants_Z_2)
+data4  0x00008000
+data4  0x00007F81
+data4  0x00007F02
+data4  0x00007E85
+data4  0x00007E08
+data4  0x00007D8D
+data4  0x00007D12
+data4  0x00007C98
+data4  0x00007C20
+data4  0x00007BA8
+data4  0x00007B31
+data4  0x00007ABB
+data4  0x00007A45
+data4  0x000079D1
+data4  0x0000795D
+data4  0x000078EB
+LOCAL_OBJECT_END(Constants_Z_2)
+
+// G2 and H2 - IEEE single and h2 - IEEE double
+LOCAL_OBJECT_START(Constants_G_H_h2)
+data4  0x3F800000,0x00000000
+data8  0x0000000000000000
+data4  0x3F7F00F8,0x3B7F875D
+data8  0x3DB5A11622C42273
+data4  0x3F7E03F8,0x3BFF015B
+data8  0x3DE620CF21F86ED3
+data4  0x3F7D08E0,0x3C3EE393
+data8  0xBDAFA07E484F34ED
+data4  0x3F7C0FC0,0x3C7E0586
+data8  0xBDFE07F03860BCF6
+data4  0x3F7B1880,0x3C9E75D2
+data8  0x3DEA370FA78093D6
+data4  0x3F7A2328,0x3CBDC97A
+data8  0x3DFF579172A753D0
+data4  0x3F792FB0,0x3CDCFE47
+data8  0x3DFEBE6CA7EF896B
+data4  0x3F783E08,0x3CFC15D0
+data8  0x3E0CF156409ECB43
+data4  0x3F774E38,0x3D0D874D
+data8  0xBE0B6F97FFEF71DF
+data4  0x3F766038,0x3D1CF49B
+data8  0xBE0804835D59EEE8
+data4  0x3F757400,0x3D2C531D
+data8  0x3E1F91E9A9192A74
+data4  0x3F748988,0x3D3BA322
+data8  0xBE139A06BF72A8CD
+data4  0x3F73A0D0,0x3D4AE46F
+data8  0x3E1D9202F8FBA6CF
+data4  0x3F72B9D0,0x3D5A1756
+data8  0xBE1DCCC4BA796223
+data4  0x3F71D488,0x3D693B9D
+data8  0xBE049391B6B7C239
+LOCAL_OBJECT_END(Constants_G_H_h2)
+
+// G3 and H3 - IEEE single and h3 - IEEE double 
+LOCAL_OBJECT_START(Constants_G_H_h3)
+data4  0x3F7FFC00,0x38800100
+data8  0x3D355595562224CD
+data4  0x3F7FF400,0x39400480
+data8  0x3D8200A206136FF6
+data4  0x3F7FEC00,0x39A00640
+data8  0x3DA4D68DE8DE9AF0
+data4  0x3F7FE400,0x39E00C41
+data8  0xBD8B4291B10238DC
+data4  0x3F7FDC00,0x3A100A21
+data8  0xBD89CCB83B1952CA
+data4  0x3F7FD400,0x3A300F22
+data8  0xBDB107071DC46826
+data4  0x3F7FCC08,0x3A4FF51C
+data8  0x3DB6FCB9F43307DB
+data4  0x3F7FC408,0x3A6FFC1D
+data8  0xBD9B7C4762DC7872
+data4  0x3F7FBC10,0x3A87F20B
+data8  0xBDC3725E3F89154A
+data4  0x3F7FB410,0x3A97F68B
+data8  0xBD93519D62B9D392
+data4  0x3F7FAC18,0x3AA7EB86
+data8  0x3DC184410F21BD9D
+data4  0x3F7FA420,0x3AB7E101
+data8  0xBDA64B952245E0A6
+data4  0x3F7F9C20,0x3AC7E701
+data8  0x3DB4B0ECAABB34B8
+data4  0x3F7F9428,0x3AD7DD7B
+data8  0x3D9923376DC40A7E
+data4  0x3F7F8C30,0x3AE7D474
+data8  0x3DC6E17B4F2083D3
+data4  0x3F7F8438,0x3AF7CBED
+data8  0x3DAE314B811D4394
+data4  0x3F7F7C40,0x3B03E1F3
+data8  0xBDD46F21B08F2DB1
+data4  0x3F7F7448,0x3B0BDE2F
+data8  0xBDDC30A46D34522B
+data4  0x3F7F6C50,0x3B13DAAA
+data8  0x3DCB0070B1F473DB
+data4  0x3F7F6458,0x3B1BD766
+data8  0xBDD65DDC6AD282FD
+data4  0x3F7F5C68,0x3B23CC5C
+data8  0xBDCDAB83F153761A
+data4  0x3F7F5470,0x3B2BC997
+data8  0xBDDADA40341D0F8F
+data4  0x3F7F4C78,0x3B33C711
+data8  0x3DCD1BD7EBC394E8
+data4  0x3F7F4488,0x3B3BBCC6
+data8  0xBDC3532B52E3E695
+data4  0x3F7F3C90,0x3B43BAC0
+data8  0xBDA3961EE846B3DE
+data4  0x3F7F34A0,0x3B4BB0F4
+data8  0xBDDADF06785778D4
+data4  0x3F7F2CA8,0x3B53AF6D
+data8  0x3DCC3ED1E55CE212
+data4  0x3F7F24B8,0x3B5BA620
+data8  0xBDBA31039E382C15
+data4  0x3F7F1CC8,0x3B639D12
+data8  0x3D635A0B5C5AF197
+data4  0x3F7F14D8,0x3B6B9444
+data8  0xBDDCCB1971D34EFC
+data4  0x3F7F0CE0,0x3B7393BC
+data8  0x3DC7450252CD7ADA
+data4  0x3F7F04F0,0x3B7B8B6D
+data8  0xBDB68F177D7F2A42
+LOCAL_OBJECT_END(Constants_G_H_h3)
+
+
+
+// Floating Point Registers
+
+FR_C17              = f50
+FR_C15              = f51
+FR_C13              = f52
+FR_C11              = f53
+FR_C9               = f54
+FR_C7               = f55
+FR_C5               = f56
+FR_C3               = f57
+FR_x2               = f58
+FR_x3               = f59
+FR_x4               = f60
+FR_x8               = f61
+
+FR_Rcp              = f61
+
+FR_A                = f33
+FR_R1               = f33
+
+FR_E1               = f34
+FR_E3               = f34
+FR_Y2               = f34
+FR_Y3               = f34
+
+FR_E2               = f35
+FR_Y1               = f35
+
+FR_B                = f36
+FR_Y0               = f37
+FR_E0               = f38
+FR_E4               = f39
+FR_Q0               = f40
+FR_R0               = f41
+FR_B_lo             = f42
+
+FR_abs_x            = f43
+FR_Bp               = f44
+FR_Bn               = f45
+FR_Yp               = f46
+FR_Yn               = f47
+
+FR_X                = f48
+FR_BB               = f48
+FR_X_lo             = f49
+
+FR_G                = f50
+FR_Y_hi             = f51
+FR_H                = f51
+FR_h                = f52
+FR_G2               = f53
+FR_H2               = f54
+FR_h2               = f55
+FR_G3               = f56
+FR_H3               = f57
+FR_h3               = f58
+
+FR_Q4               = f59
+FR_poly_lo          = f59
+FR_Y_lo             = f59
+
+FR_Q3               = f60
+FR_Q2               = f61
+
+FR_Q1               = f62
+FR_poly_hi          = f62
+
+FR_float_N          = f63
+
+FR_AA               = f64
+FR_S_lo             = f64
+
+FR_S_hi             = f65
+FR_r                = f65
+
+FR_log2_hi          = f66
+FR_log2_lo          = f67
+FR_Z                = f68
+FR_2_to_minus_N     = f69
+FR_rcub             = f70
+FR_rsq              = f71
+FR_05r              = f72
+FR_Half             = f73
+
+FR_Arg_X            = f50
+FR_Arg_Y            = f0
+FR_RESULT           = f8
+
+
+
+// General Purpose Registers
+
+GR_ad_05            = r33
+GR_Index1           = r34
+GR_ArgExp           = r34
+GR_Index2           = r35
+GR_ExpMask          = r35
+GR_NearZeroBound    = r36
+GR_signif           = r36
+GR_X_0              = r37
+GR_X_1              = r37
+GR_X_2              = r38
+GR_Index3           = r38
+GR_minus_N          = r39
+GR_Z_1              = r40
+GR_Z_2              = r40
+GR_N                = r41
+GR_Bias             = r42
+GR_M                = r43
+GR_ad_taylor        = r44
+GR_ad_taylor_2      = r45
+GR_ad2_tbl_3        = r45
+GR_ad_tbl_1         = r46
+GR_ad_tbl_2         = r47
+GR_ad_tbl_3         = r48
+GR_ad_q             = r49
+GR_ad_z_1           = r50
+GR_ad_z_2           = r51
+GR_ad_z_3           = r52
+
+//
+// Added for unwind support
+//
+GR_SAVE_PFS         = r46
+GR_SAVE_B0          = r47
+GR_SAVE_GP          = r48
+GR_Parameter_X      = r49
+GR_Parameter_Y      = r50
+GR_Parameter_RESULT = r51
+GR_Parameter_TAG    = r52
+
+
+
+.section .text
+GLOBAL_LIBM_ENTRY(atanhl)
+
+{ .mfi
+      alloc         r32 = ar.pfs,0,17,4,0
+      fnma.s1       FR_Bp = f8,f1,f1 // b = 1 - |arg| (for x>0)
+      mov           GR_ExpMask = 0x1ffff
+}                    
+{ .mfi                
+      addl          GR_ad_taylor = @ltoff(Constants_TaylorSeries),gp
+      fma.s1        FR_Bn = f8,f1,f1 // b = 1 - |arg| (for x<0)
+      mov           GR_NearZeroBound = 0xfffa  // biased exp of 1/32
+};;                    
+{ .mfi                
+      getf.exp      GR_ArgExp = f8
+      fcmp.lt.s1    p6,p7 = f8,f0 // is negative?
+      nop.i         0
+}                    
+{ .mfi                
+      ld8           GR_ad_taylor = [GR_ad_taylor]
+      fmerge.s      FR_abs_x =  f1,f8
+      nop.i         0
+};;                    
+{ .mfi                
+      nop.m         0
+      fclass.m      p8,p0 = f8,0x1C7 // is arg NaT,Q/SNaN or +/-0 ?
+      nop.i         0
+}
+{ .mfi                
+      nop.m         0
+      fma.s1        FR_x2 = f8,f8,f0
+      nop.i         0
+};;                    
+{ .mfi                
+      add           GR_ad_z_1 = 0x0F0,GR_ad_taylor
+      fclass.m      p9,p0 = f8,0x0a // is arg -denormal ?
+      add           GR_ad_taylor_2 = 0x010,GR_ad_taylor
+}                    
+{ .mfi                
+      add           GR_ad_05 = 0x080,GR_ad_taylor
+      nop.f         0
+      nop.i         0
+};;                    
+{ .mfi                
+      ldfe          FR_C17 = [GR_ad_taylor],32
+      fclass.m      p10,p0 = f8,0x09 // is arg +denormal ?
+      add           GR_ad_tbl_1 = 0x040,GR_ad_z_1 // point to Constants_G_H_h1
+}                    
+{ .mfb                
+      add           GR_ad_z_2 = 0x140,GR_ad_z_1 // point to Constants_Z_2
+ (p8) fma.s0        f8 =  f8,f1,f0 // NaN or +/-0
+ (p8) br.ret.spnt   b0             // exit for Nan or +/-0
+};;                    
+{ .mfi                
+      ldfe          FR_C15 = [GR_ad_taylor_2],32
+      fclass.m      p15,p0 = f8,0x23 // is +/-INF ?
+      add           GR_ad_tbl_2 = 0x180,GR_ad_z_1 // point to Constants_G_H_h2
+}                    
+{ .mfb                
+      ldfe          FR_C13 = [GR_ad_taylor],32
+ (p9) fnma.s0       f8 =  f8,f8,f8 // -denormal
+ (p9) br.ret.spnt   b0             // exit for -denormal
+};;                    
+{ .mfi                
+      ldfe          FR_C11 = [GR_ad_taylor_2],32
+      fcmp.eq.s0       p13,p0 = FR_abs_x,f1 // is |arg| = 1?
+      nop.i         0
+}                    
+{ .mfb                
+      ldfe          FR_C9 = [GR_ad_taylor],32
+(p10) fma.s0        f8 =  f8,f8,f8 // +denormal
+(p10) br.ret.spnt   b0             // exit for +denormal
+};;                    
+{ .mfi                
+      ldfe          FR_C7 = [GR_ad_taylor_2],32
+ (p6) frcpa.s1      FR_Yn,p11 = f1,FR_Bn // y = frcpa(b)
+      and           GR_ArgExp = GR_ArgExp,GR_ExpMask // biased exponent
+}                    
+{ .mfb                
+      ldfe          FR_C5 = [GR_ad_taylor],32
+      fnma.s1       FR_B = FR_abs_x,f1,f1 // b = 1 - |arg|
+(p15) br.cond.spnt  atanhl_gt_one // |arg| > 1
+};;
+{ .mfb
+      cmp.gt        p14,p0 = GR_NearZeroBound,GR_ArgExp
+ (p7) frcpa.s1      FR_Yp,p12 = f1,FR_Bp // y = frcpa(b)
+(p13) br.cond.spnt  atanhl_eq_one // |arg| = 1/32
+}
+{ .mfb
+      ldfe          FR_C3 = [GR_ad_taylor_2],32
+      fma.s1        FR_A = FR_abs_x,f1,FR_abs_x // a = 2 * |arg|
+(p14) br.cond.spnt  atanhl_near_zero // |arg| < 1/32
+};;
+{ .mfi
+      nop.m         0
+      fcmp.gt.s0       p8,p0 = FR_abs_x,f1 // is |arg| > 1 ?
+      nop.i         0
+};;
+.pred.rel "mutex",p6,p7
+{ .mfi
+      nop.m         0
+ (p6) fnma.s1       FR_B_lo = FR_Bn,f1,f1 // argt = 1 - (1 - |arg|)
+      nop.i         0
+}
+{ .mfi
+      ldfs          FR_Half = [GR_ad_05]
+ (p7) fnma.s1       FR_B_lo = FR_Bp,f1,f1
+      nop.i         0
+};;                    
+{ .mfi
+      nop.m         0
+ (p6) fnma.s1       FR_E0 = FR_Yn,FR_Bn,f1 // e = 1-b*y 
+      nop.i         0
+}                    
+{ .mfb                
+      nop.m         0
+ (p6) fma.s1        FR_Y0 = FR_Yn,f1,f0
+ (p8) br.cond.spnt  atanhl_gt_one // |arg| > 1
+};;
+{ .mfi
+      nop.m         0
+ (p7) fnma.s1       FR_E0 = FR_Yp,FR_Bp,f1 
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+ (p6) fma.s1        FR_Q0 = FR_A,FR_Yn,f0 // q = a*y
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+ (p7) fma.s1        FR_Q0 = FR_A,FR_Yp,f0
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+ (p7) fma.s1        FR_Y0 = FR_Yp,f1,f0
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fclass.nm     p10,p0 = f8,0x1FF  // test for unsupported
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_E2 = FR_E0,FR_E0,FR_E0 // e2 = e+e^2
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_E1 = FR_E0,FR_E0,f0 // e1 = e^2
+      nop.i         0
+};;
+{ .mfb
+      nop.m         0
+//    Return generated NaN or other value for unsupported values.
+(p10) fma.s0        f8 = f8, f0, f0
+(p10) br.ret.spnt   b0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_Y1 = FR_Y0,FR_E2,FR_Y0 // y1 = y+y*e2
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_E3 = FR_E1,FR_E1,FR_E0 // e3 = e+e1^2
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fnma.s1       FR_B_lo = FR_abs_x,f1,FR_B_lo // b_lo = argt-|arg|
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_Y2 = FR_Y1,FR_E3,FR_Y0 // y2 = y+y1*e3
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fnma.s1       FR_R0 = FR_B,FR_Q0,FR_A // r = a-b*q
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fnma.s1       FR_E4 = FR_B,FR_Y2,f1 // e4 = 1-b*y2
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_X = FR_R0,FR_Y2,FR_Q0 // x = q+r*y2
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_Z = FR_X,f1,f1 // x+1
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+ (p6) fnma.s1       FR_Half = FR_Half,f1,f0 // sign(arg)/2
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_Y3 = FR_Y2,FR_E4,FR_Y2 // y3 = y2+y2*e4
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fnma.s1       FR_R1 = FR_B,FR_X,FR_A // r1 = a-b*x
+      nop.i         0
+};;
+{ .mfi
+      getf.sig      GR_signif = FR_Z // get significand of x+1
+      nop.f         0
+      nop.i         0
+};;
+
+
+{ .mfi
+      add           GR_ad_q = -0x060,GR_ad_z_1
+      nop.f         0
+      extr.u        GR_Index1 = GR_signif,59,4 // get high 4 bits of signif
+}
+{ .mfi
+      add           GR_ad_tbl_3 = 0x280,GR_ad_z_1 // point to Constants_G_H_h3
+      nop.f         0
+      nop.i         0
+};;
+{ .mfi
+      shladd        GR_ad_z_1 = GR_Index1,2,GR_ad_z_1 // point to Z_1
+      nop.f         0
+      extr.u        GR_X_0 = GR_signif,49,15 // get high 15 bits of significand
+};;
+{ .mfi
+      ld4           GR_Z_1 = [GR_ad_z_1] // load Z_1
+      fmax.s1       FR_AA = FR_X,f1 // for S_lo,form AA = max(X,1.0)
+      nop.i         0
+}
+{ .mfi
+      shladd        GR_ad_tbl_1 = GR_Index1,4,GR_ad_tbl_1 // point to G_1
+      nop.f         0
+      mov           GR_Bias = 0x0FFFF // exponent bias
+};;
+{ .mfi
+      ldfps         FR_G,FR_H = [GR_ad_tbl_1],8  // load G_1,H_1
+      fmerge.se     FR_S_hi =  f1,FR_Z // form |x+1|
+      nop.i         0
+};;
+{ .mfi
+      getf.exp      GR_N =  FR_Z // get N = exponent of x+1
+      nop.f         0
+      nop.i         0
+}
+{ .mfi
+      ldfd          FR_h = [GR_ad_tbl_1] // load h_1
+      fnma.s1       FR_R1 = FR_B_lo,FR_X,FR_R1 // r1 = r1-b_lo*x
+      nop.i         0
+};;
+{ .mfi
+      ldfe          FR_log2_hi = [GR_ad_q],16 // load log2_hi
+      nop.f         0
+      pmpyshr2.u    GR_X_1 = GR_X_0,GR_Z_1,15 // get bits 30-15 of X_0 * Z_1
+};;
+//
+//    For performance,don't use result of pmpyshr2.u for 4 cycles.
+//
+{ .mfi
+      ldfe          FR_log2_lo = [GR_ad_q],16 // load log2_lo
+      nop.f         0
+      sub           GR_N = GR_N,GR_Bias 
+};;
+{ .mfi
+      ldfe          FR_Q4 = [GR_ad_q],16  // load Q4
+      fms.s1        FR_S_lo = FR_AA,f1,FR_Z // form S_lo = AA - Z 
+      sub           GR_minus_N = GR_Bias,GR_N // form exponent of 2^(-N)
+};;
+{ .mmf
+      ldfe          FR_Q3 = [GR_ad_q],16 // load Q3
+      // put integer N into rightmost significand
+      setf.sig      FR_float_N = GR_N
+      fmin.s1       FR_BB = FR_X,f1 // for S_lo,form BB = min(X,1.0)
+};;
+{ .mfi
+      ldfe          FR_Q2 = [GR_ad_q],16 // load Q2
+      nop.f         0
+      extr.u        GR_Index2 = GR_X_1,6,4 // extract bits 6-9 of X_1 
+};;
+{ .mmi
+      ldfe          FR_Q1 = [GR_ad_q] // load Q1
+      shladd        GR_ad_z_2 = GR_Index2,2,GR_ad_z_2 // point to Z_2
+      nop.i         0
+};;
+{ .mmi
+      ld4           GR_Z_2 = [GR_ad_z_2] // load Z_2
+      shladd        GR_ad_tbl_2 = GR_Index2,4,GR_ad_tbl_2 // point to G_2
+      nop.i         0
+};;
+{ .mfi
+      ldfps         FR_G2,FR_H2 = [GR_ad_tbl_2],8 // load G_2,H_2
+      nop.f         0
+      nop.i         0
+};;
+{ .mfi
+      ldfd          FR_h2 = [GR_ad_tbl_2] // load h_2
+      fma.s1        FR_S_lo = FR_S_lo,f1,FR_BB // S_lo = S_lo + BB
+      nop.i         0
+}
+{ .mfi
+      setf.exp      FR_2_to_minus_N = GR_minus_N // form 2^(-N)
+      fma.s1        FR_X_lo = FR_R1,FR_Y3,f0 // x_lo = r1*y3
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      nop.f         0
+      pmpyshr2.u    GR_X_2 = GR_X_1,GR_Z_2,15 // get bits 30-15 of X_1 * Z_2
+};;
+//
+//    For performance,don't use result of pmpyshr2.u for 4 cycles
+//
+{ .mfi
+      add           GR_ad2_tbl_3 = 8,GR_ad_tbl_3
+      nop.f         0
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      nop.f         0 
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      nop.f         0 
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      nop.f         0 
+      nop.i         0
+};;
+
+//
+//    Now GR_X_2 can be used
+//
+{ .mfi
+      nop.m         0
+      nop.f         0
+      extr.u        GR_Index3 = GR_X_2,1,5 // extract bits 1-5 of X_2
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_S_lo = FR_S_lo,f1,FR_X_lo // S_lo = S_lo + Arg_lo
+      nop.i         0
+};;
+
+{ .mfi
+      shladd        GR_ad_tbl_3 = GR_Index3,4,GR_ad_tbl_3 // point to G_3
+      fcvt.xf       FR_float_N = FR_float_N
+      nop.i         0
+}
+{ .mfi
+      shladd        GR_ad2_tbl_3 = GR_Index3,4,GR_ad2_tbl_3 // point to h_3
+      fma.s1        FR_Q1 = FR_Q1,FR_Half,f0 // sign(arg)*Q1/2
+      nop.i         0
+};;
+{ .mmi
+      ldfps         FR_G3,FR_H3 = [GR_ad_tbl_3],8 // load G_3,H_3
+      ldfd          FR_h3 = [GR_ad2_tbl_3] // load h_3
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fmpy.s1       FR_G = FR_G,FR_G2 // G = G_1 * G_2
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fadd.s1       FR_H = FR_H,FR_H2 // H = H_1 + H_2
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fadd.s1       FR_h = FR_h,FR_h2 // h = h_1 + h_2
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      // S_lo = S_lo * 2^(-N)
+      fma.s1        FR_S_lo = FR_S_lo,FR_2_to_minus_N,f0
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fmpy.s1       FR_G = FR_G,FR_G3 // G = (G_1 * G_2) * G_3
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fadd.s1       FR_H = FR_H,FR_H3 // H = (H_1 + H_2) + H_3
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fadd.s1       FR_h = FR_h,FR_h3 // h = (h_1 + h_2) + h_3
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fms.s1        FR_r = FR_G,FR_S_hi,f1 // r = G * S_hi - 1
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      // Y_hi = N * log2_hi + H
+      fma.s1        FR_Y_hi = FR_float_N,FR_log2_hi,FR_H
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_h = FR_float_N,FR_log2_lo,FR_h // h = N * log2_lo + h
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_r = FR_G,FR_S_lo,FR_r // r = G * S_lo + (G * S_hi - 1)
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_poly_lo = FR_r,FR_Q4,FR_Q3 // poly_lo = r * Q4 + Q3
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fmpy.s1       FR_rsq = FR_r,FR_r // rsq = r * r
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_05r = FR_r,FR_Half,f0 // sign(arg)*r/2
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      // poly_lo = poly_lo * r + Q2
+      fma.s1        FR_poly_lo = FR_poly_lo,FR_r,FR_Q2
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_rcub = FR_rsq,FR_r,f0 // rcub = r^3
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      // poly_hi = sing(arg)*(Q1*r^2 + r)/2
+      fma.s1        FR_poly_hi = FR_Q1,FR_rsq,FR_05r
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      // poly_lo = poly_lo*r^3 + h
+      fma.s1        FR_poly_lo = FR_poly_lo,FR_rcub,FR_h
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      // Y_lo = poly_hi + poly_lo/2
+      fma.s0        FR_Y_lo = FR_poly_lo,FR_Half,FR_poly_hi
+      nop.i         0
+};;
+{ .mfb
+      nop.m         0
+     // Result = arctanh(x) = Y_hi/2 + Y_lo
+      fma.s0        f8 = FR_Y_hi,FR_Half,FR_Y_lo
+      br.ret.sptk   b0
+};;
+
+// Taylor's series
+atanhl_near_zero:
+{ .mfi
+      nop.m         0
+      fma.s1        FR_x3 = FR_x2,f8,f0
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_x4 = FR_x2,FR_x2,f0
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_C17 = FR_C17,FR_x2,FR_C15
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_C13 = FR_C13,FR_x2,FR_C11
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_C9 = FR_C9,FR_x2,FR_C7
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_C5 = FR_C5,FR_x2,FR_C3
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_x8 = FR_x4,FR_x4,f0
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_C17 = FR_C17,FR_x4,FR_C13
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_C9 = FR_C9,FR_x4,FR_C5
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_C17 = FR_C17,FR_x8,FR_C9
+      nop.i         0
+};;
+{ .mfb
+      nop.m         0
+      fma.s0        f8 = FR_C17,FR_x3,f8
+      br.ret.sptk   b0 
+};;
+
+atanhl_eq_one:
+{ .mfi
+      nop.m         0
+      frcpa.s0      FR_Rcp,p0 = f1,f0 // get inf,and raise Z flag
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fmerge.s      FR_Arg_X = f8, f8
+      nop.i         0
+};;
+{ .mfb
+      mov           GR_Parameter_TAG = 130
+      fmerge.s      FR_RESULT = f8,FR_Rcp // result is +-inf
+      br.cond.sptk  __libm_error_region // exit if |x| = 1.0
+};;
+
+atanhl_gt_one:
+{ .mfi
+      nop.m         0
+      fmerge.s      FR_Arg_X = f8, f8
+      nop.i         0
+};;
+{ .mfb
+      mov           GR_Parameter_TAG = 129
+      frcpa.s0      FR_RESULT,p0 = f0,f0 // get QNaN,and raise invalid
+      br.cond.sptk  __libm_error_region // exit if |x| > 1.0
+};;
+
+GLOBAL_LIBM_END(atanhl)
+LOCAL_LIBM_ENTRY(__libm_error_region)
+.prologue
+{ .mfi
+        add   GR_Parameter_Y=-32,sp             // Parameter 2 value
+        nop.f 0
+.save   ar.pfs,GR_SAVE_PFS
+        mov  GR_SAVE_PFS=ar.pfs                 // Save ar.pfs
+}
+{ .mfi
+.fframe 64
+        add sp=-64,sp                           // Create new stack
+        nop.f 0
+        mov GR_SAVE_GP=gp                       // Save gp
+};;
+{ .mmi
+        stfe [GR_Parameter_Y] = FR_Arg_Y,16     // Save Parameter 2 on stack
+        add GR_Parameter_X = 16,sp              // Parameter 1 address
+.save   b0,GR_SAVE_B0
+        mov GR_SAVE_B0=b0                       // Save b0
+};;
+.body
+{ .mib
+        stfe [GR_Parameter_X] = FR_Arg_X        // Store Parameter 1 on stack
+        add   GR_Parameter_RESULT = 0,GR_Parameter_Y
+        nop.b 0                                 // Parameter 3 address
+}
+{ .mib
+        stfe [GR_Parameter_Y] = FR_RESULT       // Store Parameter 3 on stack
+        add   GR_Parameter_Y = -16,GR_Parameter_Y
+        br.call.sptk b0=__libm_error_support#  // Call error handling function
+};;
+{ .mmi
+        nop.m 0
+        nop.m 0
+        add   GR_Parameter_RESULT = 48,sp
+};;
+{ .mmi
+        ldfe  f8 = [GR_Parameter_RESULT]       // Get return result off stack
+.restore sp
+        add   sp = 64,sp                       // Restore stack pointer
+        mov   b0 = GR_SAVE_B0                  // Restore return address
+};;
+{ .mib
+        mov   gp = GR_SAVE_GP                  // Restore gp
+        mov   ar.pfs = GR_SAVE_PFS             // Restore ar.pfs
+        br.ret.sptk     b0                     // Return
+};;
+
+LOCAL_LIBM_END(__libm_error_region#)
+
+.type   __libm_error_support#,@function
+.global __libm_error_support#
diff --git a/sysdeps/ia64/fpu/e_cosh.S b/sysdeps/ia64/fpu/e_cosh.S
index 205653d4bf..0c6c5b451e 100644
--- a/sysdeps/ia64/fpu/e_cosh.S
+++ b/sysdeps/ia64/fpu/e_cosh.S
@@ -1,10 +1,10 @@
 .file "cosh.s"
 
-// Copyright (C) 2000, 2001, Intel Corporation
+
+// Copyright (c) 2000 - 2002, Intel Corporation
 // All rights reserved.
-// 
-// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story,
-// and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
 //
 // Redistribution and use in source and binary forms, with or without
 // modification, are permitted provided that the following conditions are
@@ -20,1081 +20,799 @@
 // * The name of Intel Corporation may not be used to endorse or promote
 // products derived from this software without specific prior written
 // permission.
-//
-// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
-// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
-// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS 
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
 // CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
-// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, 
-// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 
-// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY 
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
 // OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
-// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 
-// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 
-// 
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+//
 // Intel Corporation is the author of this code, and requests that all
-// problem reports or change requests be submitted to it directly at 
-// http://developer.intel.com/opensource.
+// problem reports or change requests be submitted to it directly at
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
 //
 // History
 //==============================================================
-// 2/02/00  Initial version 
-// 4/04/00  Unwind support added
-// 8/15/00  Bundle added after call to __libm_error_support to properly
+// 02/02/00 Initial version
+// 04/04/00 Unwind support added
+// 08/15/00 Bundle added after call to __libm_error_support to properly
 //          set [the previously overwritten] GR_Parameter_RESULT.
-//
+// 05/07/01 Reworked to improve speed of all paths
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 11/15/02 Improved speed with new algorithm
+
 // API
 //==============================================================
-// double = cosh(double)
-// input  floating point f8
-// output floating point f8
-
+// double cosh(double)
 
 // Overview of operation
 //==============================================================
-// There are four paths
+// Case 1:  0 < |x| < 0.25
+//  Evaluate cosh(x) by a 12th order polynomial
+//  Care is take for the order of multiplication; and A2 is not exactly 1/4!,
+//  A3 is not exactly 1/6!, etc.
+//  cosh(x) = 1 + (A1*x^2 + A2*x^4 + A3*x^6 + A4*x^8 + A5*x^10 + A6*x^12)
+//
+// Case 2:  0.25 < |x| < 710.47586
+//  Algorithm is based on the identity cosh(x) = ( exp(x) + exp(-x) ) / 2.
+//  The algorithm for exp is described as below.  There are a number of
+//  economies from evaluating both exp(x) and exp(-x).  Although we
+//  are evaluating both quantities, only where the quantities diverge do we
+//  duplicate the computations.  The basic algorithm for exp(x) is described
+//  below.
+//
+// Take the input x. w is "how many log2/128 in x?"
+//  w = x * 128/log2
+//  n = int(w)
+//  x = n log2/128 + r + delta
 
-// 1. |x| < 0.25        COSH_BY_POLY
-// 2. |x| < 32          COSH_BY_TBL
-// 3. |x| < 2^14        COSH_BY_EXP
-// 4. |x_ >= 2^14       COSH_HUGE
+//  n = 128M + index_1 + 2^4 index_2
+//  x = M log2 + (log2/128) index_1 + (log2/8) index_2 + r + delta
 
-// For paths 1, and 2 SAFE is always 1.
-// For path  4, Safe is always 0.
-// SAFE = 1 means we cannot overflow.
+//  exp(x) = 2^M  2^(index_1/128)  2^(index_2/8) exp(r) exp(delta)
+//       Construct 2^M
+//       Get 2^(index_1/128) from table_1;
+//       Get 2^(index_2/8)   from table_2;
+//       Calculate exp(r) by 5th order polynomial
+//          r = x - n (log2/128)_high
+//          delta = - n (log2/128)_low
+//       Calculate exp(delta) as 1 + delta
 
-#include "libm_support.h"
 
-// Assembly macros
+// Special values
 //==============================================================
-cosh_FR_X            = f44
-cosh_FR_SGNX         = f40
-
-cosh_FR_Inv_log2by64 = f9
-cosh_FR_log2by64_lo  = f11
-cosh_FR_log2by64_hi  = f10
-
-cosh_FR_A1           = f9
-cosh_FR_A2           = f10
-cosh_FR_A3           = f11
-
-cosh_FR_Rcub         = f12
-cosh_FR_M_temp       = f13
-cosh_FR_R_temp       = f13
-cosh_FR_Rsq          = f13
-cosh_FR_R            = f14
-
-cosh_FR_M            = f38
-
-cosh_FR_B1           = f15
-cosh_FR_B2           = f32
-cosh_FR_B3           = f33
-
-cosh_FR_peven_temp1  = f34
-cosh_FR_peven_temp2  = f35
-cosh_FR_peven        = f36
-
-cosh_FR_podd_temp1   = f34
-cosh_FR_podd_temp2   = f35
-cosh_FR_podd         = f37
-
-cosh_FR_J_temp       = f9
-cosh_FR_J            = f10
+// cosh(+0)    = 1.0
+// cosh(-0)    = 1.0
 
-cosh_FR_Mmj          = f39
+// cosh(+qnan) = +qnan
+// cosh(-qnan) = -qnan
+// cosh(+snan) = +qnan
+// cosh(-snan) = -qnan
 
-cosh_FR_N_temp1      = f11
-cosh_FR_N_temp2      = f12
-cosh_FR_N            = f13
+// cosh(-inf)  = +inf
+// cosh(+inf)  = +inf
 
-cosh_FR_spos         = f14
-cosh_FR_sneg         = f15
-
-cosh_FR_Tjhi         = f32
-cosh_FR_Tjlo         = f33
-cosh_FR_Tmjhi        = f34
-cosh_FR_Tmjlo        = f35
-
-GR_mJ           = r35
-GR_J            = r36
-
-AD_mJ           = r38
-AD_J            = r39
-
-cosh_FR_C_hi         = f9
-cosh_FR_C_hi_temp    = f10
-cosh_FR_C_lo_temp1   = f11 
-cosh_FR_C_lo_temp2   = f12 
-cosh_FR_C_lo_temp3   = f13 
-
-cosh_FR_C_lo         = f38
-cosh_FR_S_hi         = f39
-
-cosh_FR_S_hi_temp1   = f10
-cosh_FR_Y_hi         = f11 
-cosh_FR_Y_lo_temp    = f12 
-cosh_FR_Y_lo         = f13 
-cosh_FR_COSH         = f9
-
-cosh_FR_X2           = f9
-cosh_FR_X4           = f10
-
-cosh_FR_P1           = f14
-cosh_FR_P2           = f15
-cosh_FR_P3           = f32
-cosh_FR_P4           = f33
-cosh_FR_P5           = f34
-cosh_FR_P6           = f35
-
-cosh_FR_TINY_THRESH  = f9
-
-cosh_FR_COSH_temp    = f10
-cosh_FR_SCALE        = f11 
+// Overflow and Underflow
+//=======================
+// cosh(x) = largest double normal when
+//     x = 710.47586 = 0x408633ce8fb9f87d
+//
+// There is no underflow.
 
-cosh_FR_hi_lo = f10
+// Registers used
+//==============================================================
+// Floating Point registers used:
+// f8, input, output
+// f6 -> f15,  f32 -> f61
 
-cosh_FR_poly_podd_temp1    =  f11 
-cosh_FR_poly_podd_temp2    =  f13
-cosh_FR_poly_peven_temp1   =  f11
-cosh_FR_poly_peven_temp2   =  f13
+// General registers used:
+// r14 -> r40
 
-GR_SAVE_PFS                    = r41
-GR_SAVE_B0                     = r42
-GR_SAVE_GP                     = r43
+// Predicate registers used:
+// p6 -> p15
 
-GR_Parameter_X                 = r44
-GR_Parameter_Y                 = r45
-GR_Parameter_RESULT            = r46
+// Assembly macros
+//==============================================================
 
+rRshf                 = r14
+rN_neg                = r14
+rAD_TB1               = r15
+rAD_TB2               = r16
+rAD_P                 = r17
+rN                    = r18
+rIndex_1              = r19
+rIndex_2_16           = r20
+rM                    = r21
+rBiased_M             = r21
+rSig_inv_ln2          = r22
+rIndex_1_neg          = r22
+rExp_bias             = r23
+rExp_bias_minus_1     = r23
+rExp_mask             = r24
+rTmp                  = r24
+rGt_ln                = r24
+rIndex_2_16_neg       = r24
+rM_neg                = r25
+rBiased_M_neg         = r25
+rRshf_2to56           = r26
+rAD_T1_neg            = r26
+rExp_2tom56           = r28
+rAD_T2_neg            = r28
+rAD_T1                = r29
+rAD_T2                = r30
+rSignexp_x            = r31
+rExp_x                = r31
+
+GR_SAVE_B0            = r33
+GR_SAVE_PFS           = r34
+GR_SAVE_GP            = r35
+GR_SAVE_SP            = r36
+
+GR_Parameter_X        = r37
+GR_Parameter_Y        = r38
+GR_Parameter_RESULT   = r39
+GR_Parameter_TAG      = r40
+
+
+FR_X                  = f10
+FR_Y                  = f1
+FR_RESULT             = f8
+
+fRSHF_2TO56           = f6
+fINV_LN2_2TO63        = f7
+fW_2TO56_RSH          = f9
+f2TOM56               = f11
+fP5                   = f12
+fP4                   = f13
+fP3                   = f14
+fP2                   = f15
+
+fLn2_by_128_hi        = f33
+fLn2_by_128_lo        = f34
+
+fRSHF                 = f35
+fNfloat               = f36
+fNormX                = f37
+fR                    = f38
+fF                    = f39
+
+fRsq                  = f40
+f2M                   = f41
+fS1                   = f42
+fT1                   = f42
+fS2                   = f43
+fT2                   = f43
+fS                    = f43
+fWre_urm_f8           = f44
+fAbsX                 = f44
+
+fMIN_DBL_OFLOW_ARG    = f45
+fMAX_DBL_NORM_ARG     = f46
+fXsq                  = f47
+fX4                   = f48
+fGt_pln               = f49
+fTmp                  = f49
+
+fP54                  = f50
+fP5432                = f50
+fP32                  = f51
+fP                    = f52
+fP54_neg              = f53
+fP5432_neg            = f53
+fP32_neg              = f54
+fP_neg                = f55
+fF_neg                = f56
+
+f2M_neg               = f57
+fS1_neg               = f58
+fT1_neg               = f58
+fS2_neg               = f59
+fT2_neg               = f59
+fS_neg                = f59
+fExp                  = f60
+fExp_neg              = f61
+
+fA6                   = f50
+fA65                  = f50
+fA6543                = f50
+fA654321              = f50
+fA5                   = f51
+fA4                   = f52
+fA43                  = f52
+fA3                   = f53
+fA2                   = f54
+fA21                  = f54
+fA1                   = f55
 
 // Data tables
 //==============================================================
 
-#ifdef _LIBC
-.rodata
-#else
-.data
-#endif
-
+RODATA
 .align 16
-double_cosh_arg_reduction:
-ASM_TYPE_DIRECTIVE(double_cosh_arg_reduction,@object)
-   data8 0xB8AA3B295C17F0BC, 0x00004005
-   data8 0xB17217F7D1000000, 0x00003FF8
-   data8 0xCF79ABC9E3B39804, 0x00003FD0
-ASM_SIZE_DIRECTIVE(double_cosh_arg_reduction)
-
-double_cosh_p_table:
-ASM_TYPE_DIRECTIVE(double_cosh_p_table,@object)
-   data8 0x8000000000000000, 0x00003FFE
-   data8 0xAAAAAAAAAAAAAB80, 0x00003FFA
-   data8 0xB60B60B60B4FE884, 0x00003FF5
-   data8 0xD00D00D1021D7370, 0x00003FEF
-   data8 0x93F27740C0C2F1CC, 0x00003FE9
-   data8 0x8FA02AC65BCBD5BC, 0x00003FE2
-ASM_SIZE_DIRECTIVE(double_cosh_p_table)
-
-double_cosh_ab_table:
-ASM_TYPE_DIRECTIVE(double_cosh_ab_table,@object)
-   data8 0xAAAAAAAAAAAAAAAC, 0x00003FFC
-   data8 0x88888888884ECDD5, 0x00003FF8
-   data8 0xD00D0C6DCC26A86B, 0x00003FF2
-   data8 0x8000000000000002, 0x00003FFE
-   data8 0xAAAAAAAAAA402C77, 0x00003FFA
-   data8 0xB60B6CC96BDB144D, 0x00003FF5
-ASM_SIZE_DIRECTIVE(double_cosh_ab_table)
-
-double_cosh_j_table:
-ASM_TYPE_DIRECTIVE(double_cosh_j_table,@object)
-   data8 0xB504F333F9DE6484, 0x00003FFE, 0x1EB2FB13, 0x00000000
-   data8 0xB6FD91E328D17791, 0x00003FFE, 0x1CE2CBE2, 0x00000000
-   data8 0xB8FBAF4762FB9EE9, 0x00003FFE, 0x1DDC3CBC, 0x00000000
-   data8 0xBAFF5AB2133E45FB, 0x00003FFE, 0x1EE9AA34, 0x00000000
-   data8 0xBD08A39F580C36BF, 0x00003FFE, 0x9EAEFDC1, 0x00000000
-   data8 0xBF1799B67A731083, 0x00003FFE, 0x9DBF517B, 0x00000000
-   data8 0xC12C4CCA66709456, 0x00003FFE, 0x1EF88AFB, 0x00000000
-   data8 0xC346CCDA24976407, 0x00003FFE, 0x1E03B216, 0x00000000
-   data8 0xC5672A115506DADD, 0x00003FFE, 0x1E78AB43, 0x00000000
-   data8 0xC78D74C8ABB9B15D, 0x00003FFE, 0x9E7B1747, 0x00000000
-   data8 0xC9B9BD866E2F27A3, 0x00003FFE, 0x9EFE3C0E, 0x00000000
-   data8 0xCBEC14FEF2727C5D, 0x00003FFE, 0x9D36F837, 0x00000000
-   data8 0xCE248C151F8480E4, 0x00003FFE, 0x9DEE53E4, 0x00000000
-   data8 0xD06333DAEF2B2595, 0x00003FFE, 0x9E24AE8E, 0x00000000
-   data8 0xD2A81D91F12AE45A, 0x00003FFE, 0x1D912473, 0x00000000
-   data8 0xD4F35AABCFEDFA1F, 0x00003FFE, 0x1EB243BE, 0x00000000
-   data8 0xD744FCCAD69D6AF4, 0x00003FFE, 0x1E669A2F, 0x00000000
-   data8 0xD99D15C278AFD7B6, 0x00003FFE, 0x9BBC610A, 0x00000000
-   data8 0xDBFBB797DAF23755, 0x00003FFE, 0x1E761035, 0x00000000
-   data8 0xDE60F4825E0E9124, 0x00003FFE, 0x9E0BE175, 0x00000000
-   data8 0xE0CCDEEC2A94E111, 0x00003FFE, 0x1CCB12A1, 0x00000000
-   data8 0xE33F8972BE8A5A51, 0x00003FFE, 0x1D1BFE90, 0x00000000
-   data8 0xE5B906E77C8348A8, 0x00003FFE, 0x1DF2F47A, 0x00000000
-   data8 0xE8396A503C4BDC68, 0x00003FFE, 0x1EF22F22, 0x00000000
-   data8 0xEAC0C6E7DD24392F, 0x00003FFE, 0x9E3F4A29, 0x00000000
-   data8 0xED4F301ED9942B84, 0x00003FFE, 0x1EC01A5B, 0x00000000
-   data8 0xEFE4B99BDCDAF5CB, 0x00003FFE, 0x1E8CAC3A, 0x00000000
-   data8 0xF281773C59FFB13A, 0x00003FFE, 0x9DBB3FAB, 0x00000000
-   data8 0xF5257D152486CC2C, 0x00003FFE, 0x1EF73A19, 0x00000000
-   data8 0xF7D0DF730AD13BB9, 0x00003FFE, 0x9BB795B5, 0x00000000
-   data8 0xFA83B2DB722A033A, 0x00003FFE, 0x1EF84B76, 0x00000000
-   data8 0xFD3E0C0CF486C175, 0x00003FFE, 0x9EF5818B, 0x00000000
-   data8 0x8000000000000000, 0x00003FFF, 0x00000000, 0x00000000
-   data8 0x8164D1F3BC030773, 0x00003FFF, 0x1F77CACA, 0x00000000
-   data8 0x82CD8698AC2BA1D7, 0x00003FFF, 0x1EF8A91D, 0x00000000
-   data8 0x843A28C3ACDE4046, 0x00003FFF, 0x1E57C976, 0x00000000
-   data8 0x85AAC367CC487B15, 0x00003FFF, 0x9EE8DA92, 0x00000000
-   data8 0x871F61969E8D1010, 0x00003FFF, 0x1EE85C9F, 0x00000000
-   data8 0x88980E8092DA8527, 0x00003FFF, 0x1F3BF1AF, 0x00000000
-   data8 0x8A14D575496EFD9A, 0x00003FFF, 0x1D80CA1E, 0x00000000
-   data8 0x8B95C1E3EA8BD6E7, 0x00003FFF, 0x9D0373AF, 0x00000000
-   data8 0x8D1ADF5B7E5BA9E6, 0x00003FFF, 0x9F167097, 0x00000000
-   data8 0x8EA4398B45CD53C0, 0x00003FFF, 0x1EB70051, 0x00000000
-   data8 0x9031DC431466B1DC, 0x00003FFF, 0x1F6EB029, 0x00000000
-   data8 0x91C3D373AB11C336, 0x00003FFF, 0x1DFD6D8E, 0x00000000
-   data8 0x935A2B2F13E6E92C, 0x00003FFF, 0x9EB319B0, 0x00000000
-   data8 0x94F4EFA8FEF70961, 0x00003FFF, 0x1EBA2BEB, 0x00000000
-   data8 0x96942D3720185A00, 0x00003FFF, 0x1F11D537, 0x00000000
-   data8 0x9837F0518DB8A96F, 0x00003FFF, 0x1F0D5A46, 0x00000000
-   data8 0x99E0459320B7FA65, 0x00003FFF, 0x9E5E7BCA, 0x00000000
-   data8 0x9B8D39B9D54E5539, 0x00003FFF, 0x9F3AAFD1, 0x00000000
-   data8 0x9D3ED9A72CFFB751, 0x00003FFF, 0x9E86DACC, 0x00000000
-   data8 0x9EF5326091A111AE, 0x00003FFF, 0x9F3EDDC2, 0x00000000
-   data8 0xA0B0510FB9714FC2, 0x00003FFF, 0x1E496E3D, 0x00000000
-   data8 0xA27043030C496819, 0x00003FFF, 0x9F490BF6, 0x00000000
-   data8 0xA43515AE09E6809E, 0x00003FFF, 0x1DD1DB48, 0x00000000
-   data8 0xA5FED6A9B15138EA, 0x00003FFF, 0x1E65EBFB, 0x00000000
-   data8 0xA7CD93B4E965356A, 0x00003FFF, 0x9F427496, 0x00000000
-   data8 0xA9A15AB4EA7C0EF8, 0x00003FFF, 0x1F283C4A, 0x00000000
-   data8 0xAB7A39B5A93ED337, 0x00003FFF, 0x1F4B0047, 0x00000000
-   data8 0xAD583EEA42A14AC6, 0x00003FFF, 0x1F130152, 0x00000000
-   data8 0xAF3B78AD690A4375, 0x00003FFF, 0x9E8367C0, 0x00000000
-   data8 0xB123F581D2AC2590, 0x00003FFF, 0x9F705F90, 0x00000000
-   data8 0xB311C412A9112489, 0x00003FFF, 0x1EFB3C53, 0x00000000
-   data8 0xB504F333F9DE6484, 0x00003FFF, 0x1F32FB13, 0x00000000
-ASM_SIZE_DIRECTIVE(double_cosh_j_table)
-
-.align 32
-.global cosh#
 
-.section .text
-.proc  cosh#
-.align 32
+// ************* DO NOT CHANGE ORDER OF THESE TABLES ********************
 
-cosh: 
+// double-extended 1/ln(2)
+// 3fff b8aa 3b29 5c17 f0bb be87fed0691d3e88
+// 3fff b8aa 3b29 5c17 f0bc
+// For speed the significand will be loaded directly with a movl and setf.sig
+//   and the exponent will be bias+63 instead of bias+0.  Thus subsequent
+//   computations need to scale appropriately.
+// The constant 128/ln(2) is needed for the computation of w.  This is also
+//   obtained by scaling the computations.
+//
+// Two shifting constants are loaded directly with movl and setf.d.
+//   1. fRSHF_2TO56 = 1.1000..00 * 2^(63-7)
+//        This constant is added to x*1/ln2 to shift the integer part of
+//        x*128/ln2 into the rightmost bits of the significand.
+//        The result of this fma is fW_2TO56_RSH.
+//   2. fRSHF       = 1.1000..00 * 2^(63)
+//        This constant is subtracted from fW_2TO56_RSH * 2^(-56) to give
+//        the integer part of w, n, as a floating-point number.
+//        The result of this fms is fNfloat.
+
+
+LOCAL_OBJECT_START(exp_table_1)
+data8 0x408633ce8fb9f87e // smallest dbl overflow arg
+data8 0x408633ce8fb9f87d // largest dbl arg to give normal dbl result
+data8 0xb17217f7d1cf79ab , 0x00003ff7 // ln2/128 hi
+data8 0xc9e3b39803f2f6af , 0x00003fb7 // ln2/128 lo
+//
+// Table 1 is 2^(index_1/128) where
+// index_1 goes from 0 to 15
+//
+data8 0x8000000000000000 , 0x00003FFF
+data8 0x80B1ED4FD999AB6C , 0x00003FFF
+data8 0x8164D1F3BC030773 , 0x00003FFF
+data8 0x8218AF4373FC25EC , 0x00003FFF
+data8 0x82CD8698AC2BA1D7 , 0x00003FFF
+data8 0x8383594EEFB6EE37 , 0x00003FFF
+data8 0x843A28C3ACDE4046 , 0x00003FFF
+data8 0x84F1F656379C1A29 , 0x00003FFF
+data8 0x85AAC367CC487B15 , 0x00003FFF
+data8 0x8664915B923FBA04 , 0x00003FFF
+data8 0x871F61969E8D1010 , 0x00003FFF
+data8 0x87DB357FF698D792 , 0x00003FFF
+data8 0x88980E8092DA8527 , 0x00003FFF
+data8 0x8955EE03618E5FDD , 0x00003FFF
+data8 0x8A14D575496EFD9A , 0x00003FFF
+data8 0x8AD4C6452C728924 , 0x00003FFF
+LOCAL_OBJECT_END(exp_table_1)
+
+// Table 2 is 2^(index_1/8) where
+// index_2 goes from 0 to 7
+LOCAL_OBJECT_START(exp_table_2)
+data8 0x8000000000000000 , 0x00003FFF
+data8 0x8B95C1E3EA8BD6E7 , 0x00003FFF
+data8 0x9837F0518DB8A96F , 0x00003FFF
+data8 0xA5FED6A9B15138EA , 0x00003FFF
+data8 0xB504F333F9DE6484 , 0x00003FFF
+data8 0xC5672A115506DADD , 0x00003FFF
+data8 0xD744FCCAD69D6AF4 , 0x00003FFF
+data8 0xEAC0C6E7DD24392F , 0x00003FFF
+LOCAL_OBJECT_END(exp_table_2)
+
+LOCAL_OBJECT_START(exp_p_table)
+data8 0x3f8111116da21757 //P5
+data8 0x3fa55555d787761c //P4
+data8 0x3fc5555555555414 //P3
+data8 0x3fdffffffffffd6a //P2
+LOCAL_OBJECT_END(exp_p_table)
+
+LOCAL_OBJECT_START(cosh_p_table)
+data8 0x8FA02AC65BCBD5BC, 0x00003FE2  // A6
+data8 0xD00D00D1021D7370, 0x00003FEF  // A4
+data8 0xAAAAAAAAAAAAAB80, 0x00003FFA  // A2
+data8 0x93F27740C0C2F1CC, 0x00003FE9  // A5
+data8 0xB60B60B60B4FE884, 0x00003FF5  // A3
+data8 0x8000000000000000, 0x00003FFE  // A1
+LOCAL_OBJECT_END(cosh_p_table)
 
-#ifdef _LIBC
-.global __ieee754_cosh#
-.proc __ieee754_cosh#
-__ieee754_cosh:
-#endif
 
-// X NAN?
+.section .text
+GLOBAL_IEEE754_ENTRY(cosh)
 
-{ .mfi
-      alloc r32 = ar.pfs,0,12,4,0                  
-(p0)  fclass.m.unc  p6,p7 = f8, 0xc3	//@snan | @qnan 
-      nop.i 999
+{ .mlx
+      getf.exp        rSignexp_x = f8  // Must recompute if x unorm
+      movl            rSig_inv_ln2 = 0xb8aa3b295c17f0bc  // significand of 1/ln2
 }
-;;
-
-
-{ .mfb
-      nop.m 999
-(p6)  fma.d.s0   f8 = f8,f1,f8                  
-(p6)  br.ret.spnt     b0 ;;                          
+{ .mlx
+      addl            rAD_TB1    = @ltoff(exp_table_1), gp
+      movl            rRshf_2to56 = 0x4768000000000000   // 1.10000 2^(63+56)
 }
+;;
 
-
-// X infinity 
 { .mfi
-      nop.m 999
-(p0)  fclass.m.unc  p6,p0 = f8, 0x23	//@inf 
-      nop.i 999 ;;
-}
-
-{ .mfb
-      nop.m 999
-(p6)     fmerge.s      f8 = f0,f8                  
-(p6)  br.ret.spnt     b0 ;;                          
+      ld8             rAD_TB1    = [rAD_TB1]
+      fclass.m        p6,p0 = f8,0x0b  // Test for x=unorm
+      mov             rExp_mask = 0x1ffff
 }
-
-
-
-// Put 0.25 in f9; p6 true if x < 0.25
-{ .mlx
-         nop.m 999
-(p0)     movl            r32 = 0x000000000000fffd ;;         
-}
-
 { .mfi
-(p0)  setf.exp        f9 = r32                         
-      nop.f 999
-      nop.i 999 ;;
+      mov             rExp_bias = 0xffff
+      fnorm.s1        fNormX   = f8
+      mov             rExp_2tom56 = 0xffff-56
 }
+;;
+
+// Form two constants we need
+//  1/ln2 * 2^63  to compute  w = x * 1/ln2 * 128
+//  1.1000..000 * 2^(63+63-7) to right shift int(w) into the significand
 
 { .mfi
-      nop.m 999
-(p0)  fmerge.s      cosh_FR_X    = f0,f8                
+      setf.sig        fINV_LN2_2TO63 = rSig_inv_ln2 // form 1/ln2 * 2^63
+      fclass.m        p8,p0 = f8,0x07  // Test for x=0
       nop.i 999
 }
-
-{ .mfi
-      nop.m 999
-(p0)  fmerge.s      cosh_FR_SGNX = f8,f1                
-      nop.i 999 ;;
+{ .mlx
+      setf.d          fRSHF_2TO56 = rRshf_2to56 // Form const 1.100 * 2^(63+56)
+      movl            rRshf = 0x43e8000000000000 // 1.10000 2^63 for right shift
 }
+;;
 
 { .mfi
-      nop.m 999
-(p0)  fcmp.lt.unc     p0,p7 = cosh_FR_X,f9                    
-      nop.i 999 ;;
+      ldfpd           fMIN_DBL_OFLOW_ARG, fMAX_DBL_NORM_ARG = [rAD_TB1],16
+      fclass.m        p10,p0 = f8,0x1e3  // Test for x=inf, nan, NaT
+      nop.i           0
 }
-
-{ .mib
-      nop.m 999
-      nop.i 999
-(p7)  br.cond.sptk    L(COSH_BY_TBL) 
+{ .mfb
+      setf.exp        f2TOM56 = rExp_2tom56 // form 2^-56 for scaling Nfloat
+      nop.f           0
+(p6)  br.cond.spnt    COSH_UNORM            // Branch if x=unorm
 }
 ;;
 
-
-// COSH_BY_POLY: 
-// POLY cannot overflow so there is no need to call __libm_error_support
-// Get the values of P_x from the table
-
-{ .mmi
-      nop.m 999
-(p0)  addl           r34   = @ltoff(double_cosh_p_table), gp
-      nop.i 999
+COSH_COMMON:
+{ .mfi
+      ldfe            fLn2_by_128_hi  = [rAD_TB1],16
+      nop.f           0
+      nop.i           0
 }
-;;
-
-{ .mmi
-      ld8 r34 = [r34]
-      nop.m 999
-      nop.i 999
+{ .mfb
+      setf.d          fRSHF = rRshf // Form right shift const 1.100 * 2^63
+(p8)  fma.d.s0        f8 = f1,f1,f0           // quick exit for x=0
+(p8)  br.ret.spnt     b0
 }
 ;;
 
-
-// Calculate cosh_FR_X2 = ax*ax and cosh_FR_X4 = ax*ax*ax*ax
-{ .mmf
-         nop.m 999
-(p0)     ldfe       cosh_FR_P1 = [r34],16                 
-(p0)     fma.s1     cosh_FR_X2 = cosh_FR_X, cosh_FR_X, f0 ;;           
-}
-
-{ .mmi
-(p0)     ldfe       cosh_FR_P2 = [r34],16 ;;                 
-(p0)     ldfe       cosh_FR_P3 = [r34],16                 
-         nop.i 999 ;;
+{ .mfi
+      ldfe            fLn2_by_128_lo  = [rAD_TB1],16
+      nop.f           0
+      nop.i           0
 }
-
-{ .mmi
-(p0)     ldfe       cosh_FR_P4 = [r34],16 ;;                 
-(p0)     ldfe       cosh_FR_P5 = [r34],16                 
-         nop.i 999 ;;
+{ .mfb
+      and             rExp_x = rExp_mask, rSignexp_x // Biased exponent of x
+(p10) fma.d.s0        f8 = f8,f8,f0  // Result if x=inf, nan, NaT
+(p10) br.ret.spnt     b0               // quick exit for x=inf, nan, NaT
 }
+;;
 
+// After that last load rAD_TB1 points to the beginning of table 1
 { .mfi
-(p0)     ldfe       cosh_FR_P6 = [r34],16                 
-(p0)     fma.s1     cosh_FR_X4 = cosh_FR_X2, cosh_FR_X2, f0         
-         nop.i 999 ;;
+      nop.m           0
+      fcmp.eq.s0      p6,p0 = f8, f0       // Dummy to set D
+      sub             rExp_x = rExp_x, rExp_bias // True exponent of x
 }
+;;
 
-// Calculate cosh_FR_podd = x4 *(x4 * P_5 + P_3) + P_1
 { .mfi
-         nop.m 999
-(p0)     fma.s1     cosh_FR_poly_podd_temp1 = cosh_FR_X4, cosh_FR_P5, cosh_FR_P3                
-         nop.i 999 ;;
+      nop.m           0
+      fmerge.s        fAbsX = f0, fNormX   // Form |x|
+      nop.i           0
 }
-
-{ .mfi
-         nop.m 999
-(p0)     fma.s1     cosh_FR_podd            = cosh_FR_X4, cosh_FR_poly_podd_temp1, cosh_FR_P1   
-         nop.i 999
+{ .mfb
+      cmp.gt          p7, p0 = -2, rExp_x      // Test |x| < 2^(-2)
+      fma.s1          fXsq = fNormX, fNormX, f0  // x*x for small path
+(p7)  br.cond.spnt    COSH_SMALL               // Branch if 0 < |x| < 2^-2
 }
+;;
 
-// Calculate cosh_FR_peven =  p_even = x4 *(x4 * (x4 * P_6 + P_4) + P_2)
-{ .mfi
-         nop.m 999
-(p0)     fma.s1     cosh_FR_poly_peven_temp1 = cosh_FR_X4, cosh_FR_P6, cosh_FR_P4               
-         nop.i 999 ;;
-}
+// W = X * Inv_log2_by_128
+// By adding 1.10...0*2^63 we shift and get round_int(W) in significand.
+// We actually add 1.10...0*2^56 to X * Inv_log2 to do the same thing.
 
 { .mfi
-         nop.m 999
-(p0)     fma.s1     cosh_FR_poly_peven_temp2 = cosh_FR_X4, cosh_FR_poly_peven_temp1, cosh_FR_P2 
-         nop.i 999 ;;
+      add             rAD_P = 0x180, rAD_TB1
+      fma.s1          fW_2TO56_RSH  = fNormX, fINV_LN2_2TO63, fRSHF_2TO56
+      add             rAD_TB2 = 0x100, rAD_TB1
 }
+;;
+
+// Divide arguments into the following categories:
+//  Certain Safe                - 0.25 <= |x| <= MAX_DBL_NORM_ARG
+//  Possible Overflow       p14 - MAX_DBL_NORM_ARG < |x| < MIN_DBL_OFLOW_ARG
+//  Certain Overflow        p15 - MIN_DBL_OFLOW_ARG <= |x| < +inf
+//
+// If the input is really a double arg, then there will never be
+// "Possible Overflow" arguments.
+//
 
 { .mfi
-         nop.m 999
-(p0)     fma.s1     cosh_FR_peven       = cosh_FR_X4, cosh_FR_poly_peven_temp2, f0         
-         nop.i 999 ;;
+      ldfpd           fP5, fP4  = [rAD_P] ,16
+      fcmp.ge.s1      p15,p14 = fAbsX,fMIN_DBL_OFLOW_ARG
+      nop.i           0
 }
+;;
+
+// Nfloat = round_int(W)
+// The signficand of fW_2TO56_RSH contains the rounded integer part of W,
+// as a twos complement number in the lower bits (that is, it may be negative).
+// That twos complement number (called N) is put into rN.
+
+// Since fW_2TO56_RSH is scaled by 2^56, it must be multiplied by 2^-56
+// before the shift constant 1.10000 * 2^63 is subtracted to yield fNfloat.
+// Thus, fNfloat contains the floating point version of N
 
-// Y_lo = x2*p_odd + p_even
-// Calculate f8 = Y_hi + Y_lo 
 { .mfi
-         nop.m 999
-(p0)     fma.s1     cosh_FR_Y_lo         = cosh_FR_X2, cosh_FR_podd,  cosh_FR_peven    
-         nop.i 999 ;;
+      ldfpd           fP3, fP2  = [rAD_P]
+(p14) fcmp.gt.unc.s1  p14,p0 = fAbsX,fMAX_DBL_NORM_ARG
+      nop.i           0
 }
-
 { .mfb
-         nop.m 999
-(p0)     fma.d.s0   f8                   = f1, f1, cosh_FR_Y_lo                        
-(p0)  br.ret.sptk     b0 ;;                          
+      nop.m           0
+      fms.s1          fNfloat = fW_2TO56_RSH, f2TOM56, fRSHF
+(p15) br.cond.spnt    COSH_CERTAIN_OVERFLOW
 }
+;;
 
-
-L(COSH_BY_TBL): 
-
-// Now that we are at TBL; so far all we know is that |x| >= 0.25.
-// The first two steps are the same for TBL and EXP, but if we are HUGE
-// Double
-// Go to HUGE if |x| >= 2^10, 10009 (register-biased) is e = 10 (true)
-// Single
-// Go to HUGE if |x| >= 2^7,  10006 (register-biased) is e =  7 (true)
-// we want to leave now. Go to HUGE if |x| >= 2^14
-// 1000d (register-biased) is e = 14 (true)
-
-{ .mlx
-      nop.m 999
-(p0)     movl            r32 = 0x0000000000010009 ;;              
+{ .mfi
+      getf.sig        rN        = fW_2TO56_RSH
+      nop.f           0
+      mov             rExp_bias_minus_1 = 0xfffe
 }
+;;
+
+// rIndex_1 has index_1
+// rIndex_2_16 has index_2 * 16
+// rBiased_M has M
 
+// rM has true M
+// r = x - Nfloat * ln2_by_128_hi
+// f = 1 - Nfloat * ln2_by_128_lo
 { .mfi
-(p0)     setf.exp        f9 = r32                              
-      nop.f 999
-      nop.i 999 ;;
+      and             rIndex_1 = 0x0f, rN
+      fnma.s1         fR   = fNfloat, fLn2_by_128_hi, fNormX
+      shr             rM = rN,  0x7
 }
-
 { .mfi
-      nop.m 999
-(p0)     fcmp.ge.unc     p6,p7 = cosh_FR_X,f9                  
-      nop.i 999 ;;
+      and             rIndex_2_16 = 0x70, rN
+      fnma.s1         fF   = fNfloat, fLn2_by_128_lo, f1
+      sub             rN_neg = r0, rN
 }
+;;
 
-{ .mib
-      nop.m 999
-      nop.i 999
-(p6)     br.cond.spnt    L(COSH_HUGE) ;;                             
+{ .mmi
+      and             rIndex_1_neg = 0x0f, rN_neg
+      add             rBiased_M = rExp_bias_minus_1, rM
+      shr             rM_neg = rN_neg,  0x7
 }
-
-// r32 = 1
-// r34 = N-1 
-// r35 = N
-// r36 = j
-// r37 = N+1
-
-// TBL can never overflow
-// cosh(x) = cosh(B+R)
-//         = cosh(B) cosh(R) + sinh(B) sinh(R) 
-// cosh(R) can be approximated by 1 + p_even
-// sinh(R) can be approximated by p_odd
-
-// ******************************************************
-// STEP 1 (TBL and EXP)
-// ******************************************************
-// Get the following constants.
-// f9  = Inv_log2by64
-// f10 = log2by64_hi
-// f11 = log2by64_lo
-
 { .mmi
-(p0)     adds                 r32 = 0x1,r0      
-(p0)     addl           r34   = @ltoff(double_cosh_arg_reduction), gp
-         nop.i 999
+      and             rIndex_2_16_neg = 0x70, rN_neg
+      add             rAD_T2 = rAD_TB2, rIndex_2_16
+      shladd          rAD_T1 = rIndex_1, 4, rAD_TB1
 }
 ;;
 
-// We want 2^(N-1) and 2^(-N-1). So bias N-1 and -N-1 and
-// put them in an exponent.
-// cosh_FR_spos = 2^(N-1) and cosh_FR_sneg = 2^(-N-1)
-// r39 = 0xffff + (N-1)  = 0xffff +N -1
-// r40 = 0xffff - (N +1) = 0xffff -N -1
-
-{ .mlx
-         ld8 r34 = [r34]
-(p0)     movl                r38 = 0x000000000000fffe ;; 
-}
+// rAD_T1 has address of T1
+// rAD_T2 has address if T2
 
 { .mmi
-(p0)     ldfe            cosh_FR_Inv_log2by64 = [r34],16 ;;            
-(p0)     ldfe            cosh_FR_log2by64_hi  = [r34],16            
-         nop.i 999 ;;
+      setf.exp        f2M = rBiased_M
+      ldfe            fT2  = [rAD_T2]
+      nop.i           0
 }
-
-{ .mbb
-(p0)     ldfe            cosh_FR_log2by64_lo  = [r34],16            
-         nop.b 999
-         nop.b 999 ;;
-}
-
-// Get the A coefficients
-// f9  = A_1
-// f10 = A_2
-// f11 = A_3
-
 { .mmi
-      nop.m 999
-(p0)  addl           r34   = @ltoff(double_cosh_ab_table), gp
-      nop.i 999
+      add             rBiased_M_neg = rExp_bias_minus_1, rM_neg
+      add             rAD_T2_neg = rAD_TB2, rIndex_2_16_neg
+      shladd          rAD_T1_neg = rIndex_1_neg, 4, rAD_TB1
 }
 ;;
 
+// Create Scale = 2^M
+// Load T1 and T2
 { .mmi
-      ld8 r34 = [r34]
-      nop.m 999
-      nop.i 999
+      ldfe            fT1  = [rAD_T1]
+      nop.m           0
+      nop.i           0
+}
+{ .mmf
+      setf.exp        f2M_neg = rBiased_M_neg
+      ldfe            fT2_neg  = [rAD_T2_neg]
+      fma.s1          fF_neg   = fNfloat, fLn2_by_128_lo, f1
 }
 ;;
 
-
-// Calculate M and keep it as integer and floating point.
-// M = round-to-integer(x*Inv_log2by64)
-// cosh_FR_M = M = truncate(ax/(log2/64))
-// Put the significand of M in r35
-//    and the floating point representation of M in cosh_FR_M
-
 { .mfi
-      nop.m 999
-(p0)  fma.s1          cosh_FR_M      = cosh_FR_X, cosh_FR_Inv_log2by64, f0 
-      nop.i 999
+      nop.m           0
+      fma.s1          fRsq = fR, fR, f0
+      nop.i           0
 }
-
 { .mfi
-(p0)  ldfe            cosh_FR_A1 = [r34],16            
-      nop.f 999
-      nop.i 999 ;;
+      ldfe            fT1_neg  = [rAD_T1_neg]
+      fma.s1          fP54 = fR, fP5, fP4
+      nop.i           0
 }
+;;
 
 { .mfi
-      nop.m 999
-(p0)  fcvt.fx.s1      cosh_FR_M_temp = cosh_FR_M                      
-      nop.i 999 ;;
+      nop.m           0
+      fma.s1          fP32 = fR, fP3, fP2
+      nop.i           0
 }
-
 { .mfi
-      nop.m 999
-(p0)  fnorm.s1        cosh_FR_M      = cosh_FR_M_temp                 
-      nop.i 999 ;;
+      nop.m           0
+      fnma.s1         fP54_neg = fR, fP5, fP4
+      nop.i           0
 }
+;;
 
 { .mfi
-(p0)  getf.sig        r35       = cosh_FR_M_temp                 
-      nop.f 999
-      nop.i 999 ;;
-}
-
-// M is still in r35. Calculate j. j is the signed extension of the six lsb of M. It
-// has a range of -32 thru 31.
-// r35 = M
-// r36 = j 
-{ .mii
-      nop.m 999
-      nop.i 999 ;;
-(p0)  and            r36 = 0x3f, r35 ;;   
+      nop.m           0
+      fnma.s1         fP32_neg = fR, fP3, fP2
+      nop.i           0
 }
-
-// Calculate R
-// f13 = f44 - f12*f10 = x - M*log2by64_hi
-// f14 = f13 - f8*f11 = R = (x - M*log2by64_hi) - M*log2by64_lo
+;;
 
 { .mfi
-      nop.m 999
-(p0)  fnma.s1        cosh_FR_R_temp = cosh_FR_M, cosh_FR_log2by64_hi, cosh_FR_X      
-      nop.i 999
+      nop.m           0
+      fma.s1          fP5432  = fRsq, fP54, fP32
+      nop.i           0
 }
-
 { .mfi
-(p0)  ldfe            cosh_FR_A2 = [r34],16            
-      nop.f 999
-      nop.i 999 ;;
+      nop.m           0
+      fma.s1          fS2  = fF,fT2,f0
+      nop.i           0
 }
+;;
 
 { .mfi
-      nop.m 999
-(p0)  fnma.s1        cosh_FR_R      = cosh_FR_M, cosh_FR_log2by64_lo, cosh_FR_R_temp 
-      nop.i 999
+      nop.m           0
+      fma.s1          fS1  = f2M,fT1,f0
+      nop.i           0
 }
-
-// Get the B coefficients
-// f15 = B_1
-// f32 = B_2
-// f33 = B_3
-
-{ .mmi
-(p0)     ldfe            cosh_FR_A3 = [r34],16 ;;            
-(p0)     ldfe            cosh_FR_B1 = [r34],16            
-         nop.i 999 ;;
-}
-
-{ .mmi
-(p0)     ldfe            cosh_FR_B2 = [r34],16 ;;            
-(p0)     ldfe            cosh_FR_B3 = [r34],16            
-         nop.i 999 ;;
-}
-
-{ .mii
-         nop.m 999
-(p0)     shl            r34 = r36,  0x2 ;;   
-(p0)     sxt1           r37 = r34 ;;         
-}
-
-// ******************************************************
-// STEP 2 (TBL and EXP)
-// ******************************************************
-// Calculate Rsquared and Rcubed in preparation for p_even and p_odd
-// f12 = R*R*R
-// f13 = R*R
-// f14 = R <== from above
-
 { .mfi
-      nop.m 999
-(p0)     fma.s1          cosh_FR_Rsq  = cosh_FR_R,   cosh_FR_R, f0  
-(p0)     shr            r36 = r37,  0x2 ;;   
-}
-
-// r34 = M-j = r35 - r36
-// r35 = N = (M-j)/64
-
-{ .mii
-(p0)     sub                  r34 = r35, r36    
-         nop.i 999 ;;
-(p0)     shr                  r35 = r34, 0x6 ;;    
-}
-
-{ .mii
-(p0)     sub                 r40 = r38, r35           
-(p0)     adds                 r37 = 0x1, r35    
-(p0)     add                 r39 = r38, r35 ;;           
-}
-
-// Get the address of the J table, add the offset,
-// addresses are sinh_AD_mJ and sinh_AD_J, get the T value
-// f32 = T(j)_hi
-// f33 = T(j)_lo
-// f34 = T(-j)_hi
-// f35 = T(-j)_lo
-
-{ .mmi
-(p0)     sub                  r34 = r35, r32    
-(p0)     addl    r37   = @ltoff(double_cosh_j_table), gp
-         nop.i 999
+      nop.m           0
+      fma.s1          fP5432_neg  = fRsq, fP54_neg, fP32_neg
+      nop.i           0
 }
 ;;
 
 { .mfi
-      ld8 r37 = [r37]
-(p0)  fma.s1          cosh_FR_Rcub = cosh_FR_Rsq, cosh_FR_R, f0  
-      nop.i 999
+      nop.m           0
+      fma.s1          fS1_neg  = f2M_neg,fT1_neg,f0
+      nop.i           0
 }
-
-// ******************************************************
-// STEP 3 Now decide if we need to branch to EXP
-// ******************************************************
-// Put 32 in f9; p6 true if x < 32
-
-{ .mlx
-         nop.m 999
-(p0)     movl                r32 = 0x0000000000010004 ;;               
-}
-
-// Calculate p_even
-// f34 = B_2 + Rsq *B_3
-// f35 = B_1 + Rsq*f34      = B_1 + Rsq * (B_2 + Rsq *B_3)
-// f36 = peven = Rsq * f35 = Rsq * (B_1 + Rsq * (B_2 + Rsq *B_3))
-
 { .mfi
-      nop.m 999
-(p0)  fma.s1          cosh_FR_peven_temp1 = cosh_FR_Rsq, cosh_FR_B3,          cosh_FR_B2  
-      nop.i 999 ;;
+      nop.m           0
+      fma.s1          fS2_neg  = fF_neg,fT2_neg,f0
+      nop.i           0
 }
+;;
 
 { .mfi
-      nop.m 999
-(p0)  fma.s1          cosh_FR_peven_temp2 = cosh_FR_Rsq, cosh_FR_peven_temp1, cosh_FR_B1  
-      nop.i 999
+      nop.m           0
+      fma.s1          fP     = fRsq, fP5432, fR
+      nop.i           0
 }
-
-// Calculate p_odd
-// f34 = A_2 + Rsq *A_3
-// f35 = A_1 + Rsq * (A_2 + Rsq *A_3)
-// f37 = podd = R + Rcub * (A_1 + Rsq * (A_2 + Rsq *A_3))
-
 { .mfi
-      nop.m 999
-(p0)  fma.s1          cosh_FR_podd_temp1 = cosh_FR_Rsq,        cosh_FR_A3,         cosh_FR_A2  
-      nop.i 999 ;;
+      nop.m           0
+      fma.s1          fS   = fS1,fS2,f0
+      nop.i           0
 }
+;;
 
 { .mfi
-(p0)  setf.exp            cosh_FR_N_temp1 = r39            
-      nop.f 999
-      nop.i 999 ;;
+      nop.m           0
+      fms.s1          fP_neg     = fRsq, fP5432_neg, fR
+      nop.i           0
 }
-
 { .mfi
-      nop.m 999
-(p0)  fma.s1          cosh_FR_peven       = cosh_FR_Rsq, cosh_FR_peven_temp2, f0     
-      nop.i 999
+      nop.m           0
+      fma.s1          fS_neg   = fS1_neg,fS2_neg,f0
+      nop.i           0
 }
+;;
 
-{ .mfi
-      nop.m 999
-(p0)  fma.s1          cosh_FR_podd_temp2 = cosh_FR_Rsq,        cosh_FR_podd_temp1, cosh_FR_A1  
-      nop.i 999 ;;
+{ .mfb
+      nop.m           0
+      fmpy.s0         fTmp = fLn2_by_128_lo, fLn2_by_128_lo // Force inexact
+(p14) br.cond.spnt    COSH_POSSIBLE_OVERFLOW
 }
+;;
 
 { .mfi
-(p0)  setf.exp            f9  = r32                              
-      nop.f 999
-      nop.i 999 ;;
+      nop.m           0
+      fma.s1          fExp = fS, fP, fS
+      nop.i           0
 }
-
 { .mfi
-      nop.m 999
-(p0)  fma.s1          cosh_FR_podd       = cosh_FR_podd_temp2, cosh_FR_Rcub,       cosh_FR_R   
-      nop.i 999
+      nop.m           0
+      fma.s1          fExp_neg = fS_neg, fP_neg, fS_neg
+      nop.i           0
 }
+;;
 
-// sinh_GR_mj contains the table offset for -j
-// sinh_GR_j  contains the table offset for +j
-// p6 is true when j <= 0
-
-{ .mlx
-(p0)     setf.exp            cosh_FR_N_temp2 = r40            
-(p0)     movl                r40 = 0x0000000000000020 ;;    
+{ .mfb
+      nop.m           0
+      fma.d.s0        f8 = fExp, f1, fExp_neg
+      br.ret.sptk     b0                  // Normal path exit
 }
+;;
 
-{ .mfi
-(p0)     sub                 GR_mJ = r40,  r36           
-(p0)     fmerge.se           cosh_FR_spos    = cosh_FR_N_temp1, f1 
-(p0)     adds                GR_J  = 0x20, r36 ;;           
+// Here if 0 < |x| < 0.25
+COSH_SMALL:
+{ .mmf
+      add             rAD_T1 = 0x1a0, rAD_TB1
+      add             rAD_T2 = 0x1d0, rAD_TB1
 }
+;;
 
-{ .mii
-         nop.m 999
-(p0)     shl                  GR_mJ = GR_mJ, 5 ;;   
-(p0)     add                  AD_mJ = r37, GR_mJ ;; 
+{ .mmf
+      ldfe            fA6 = [rAD_T1],16
+      ldfe            fA5 = [rAD_T2],16
+      nop.f           0
 }
+;;
 
 { .mmi
-         nop.m 999
-(p0)     ldfe                 cosh_FR_Tmjhi = [AD_mJ],16                 
-(p0)     shl                  GR_J  = GR_J, 5 ;;    
-}
-
-{ .mfi
-(p0)     ldfs                 cosh_FR_Tmjlo = [AD_mJ],16                 
-(p0)     fcmp.lt.unc.s1      p6,p7 = cosh_FR_X,f9                          
-(p0)     add                  AD_J  = r37, GR_J ;;  
+      ldfe            fA4 = [rAD_T1],16
+      ldfe            fA3 = [rAD_T2],16
+      nop.i           0
 }
+;;
 
 { .mmi
-(p0)     ldfe                 cosh_FR_Tjhi  = [AD_J],16 ;;                  
-(p0)     ldfs                 cosh_FR_Tjlo  = [AD_J],16                  
-         nop.i 999 ;;
+      ldfe            fA2 = [rAD_T1],16
+      ldfe            fA1 = [rAD_T2],16
+      nop.i           0
 }
-
-{ .mfb
-         nop.m 999
-(p0)     fmerge.se           cosh_FR_sneg    = cosh_FR_N_temp2, f1 
-(p7)     br.cond.spnt        L(COSH_BY_EXP) ;;                            
-}
-
-// ******************************************************
-// If NOT branch to EXP
-// ******************************************************
-// Calculate C_hi
-// ******************************************************
-// cosh_FR_C_hi_temp = cosh_FR_sneg * cosh_FR_Tmjhi
-// cosh_FR_C_hi = cosh_FR_spos * cosh_FR_Tjhi + (cosh_FR_sneg * cosh_FR_Tmjhi)
-
-{ .mfi
-      nop.m 999
-(p0)  fma.s1         cosh_FR_C_hi_temp = cosh_FR_sneg, cosh_FR_Tmjhi, f0                   
-      nop.i 999 ;;
-}
-
-{ .mfi
-      nop.m 999
-(p0)  fma.s1         cosh_FR_C_hi      = cosh_FR_spos, cosh_FR_Tjhi,  cosh_FR_C_hi_temp    
-      nop.i 999
-}
-
-// ******************************************************
-// Calculate S_hi
-// ******************************************************
-// cosh_FR_S_hi_temp1 = cosh_FR_sneg * cosh_FR_Tmjhi
-// cosh_FR_S_hi = cosh_FR_spos * cosh_FR_Tjhi - cosh_FR_C_hi_temp1
-
-{ .mfi
-      nop.m 999
-(p0)  fma.s1        cosh_FR_S_hi_temp1 =  cosh_FR_sneg, cosh_FR_Tmjhi, f0                
-      nop.i 999 ;;
-}
-
-// ******************************************************
-// Calculate C_lo
-// ******************************************************
-// cosh_FR_C_lo_temp1 = cosh_FR_spos * cosh_FR_Tjhi - cosh_FR_C_hi
-// cosh_FR_C_lo_temp2 = cosh_FR_sneg * cosh_FR_Tmjlo + (cosh_FR_spos * cosh_FR_Tjhi - cosh_FR_C_hi)
-// cosh_FR_C_lo_temp1 = cosh_FR_sneg * cosh_FR_Tmjlo
-// cosh_FR_C_lo_temp3 = cosh_FR_spos * cosh_FR_Tjlo + (cosh_FR_sneg * cosh_FR_Tmjlo)
-// cosh_FR_C_lo = cosh_FR_C_lo_temp3 + cosh_FR_C_lo_temp2
+;;
 
 { .mfi
-      nop.m 999
-(p0)  fms.s1        cosh_FR_C_lo_temp1 = cosh_FR_spos, cosh_FR_Tjhi,  cosh_FR_C_hi        
-      nop.i 999
+      nop.m           0
+      fma.s1          fX4 = fXsq, fXsq, f0
+      nop.i           0
 }
+;;
 
 { .mfi
-      nop.m 999
-(p0)  fms.s1        cosh_FR_S_hi       =  cosh_FR_spos, cosh_FR_Tjhi, cosh_FR_S_hi_temp1 
-      nop.i 999 ;;
+      nop.m           0
+      fma.s1          fA65 = fXsq, fA6, fA5
+      nop.i           0
 }
-
 { .mfi
-      nop.m 999
-(p0)  fma.s1        cosh_FR_C_lo_temp2 = cosh_FR_sneg, cosh_FR_Tmjhi, cosh_FR_C_lo_temp1  
-      nop.i 999
-}
-
-{ .mfi
-      nop.m 999
-(p0)  fma.s1        cosh_FR_C_lo_temp1 = cosh_FR_sneg, cosh_FR_Tmjlo, f0                  
-      nop.i 999 ;;
+      nop.m           0
+      fma.s1          fA43 = fXsq, fA4, fA3
+      nop.i           0
 }
+;;
 
 { .mfi
-      nop.m 999
-(p0)  fma.s1        cosh_FR_C_lo_temp3 =  cosh_FR_spos, cosh_FR_Tjlo,  cosh_FR_C_lo_temp1 
-      nop.i 999 ;;
+      nop.m           0
+      fma.s1          fA21 = fXsq, fA2, fA1
+      nop.i           0
 }
+;;
 
 { .mfi
-      nop.m 999
-(p0)  fma.s1        cosh_FR_C_lo       =  cosh_FR_C_lo_temp3, f1,   cosh_FR_C_lo_temp2    
-      nop.i 999 ;;
+      nop.m           0
+      fma.s1          fA6543 = fX4, fA65, fA43
+      nop.i           0
 }
-
-// ******************************************************
-// cosh_FR_Y_lo_temp = cosh_FR_C_hi * cosh_FR_peven + cosh_FR_C_lo
-// cosh_FR_Y_lo = cosh_FR_S_hi * cosh_FR_podd + cosh_FR_Y_lo_temp
-// cosh_FR_COSH = Y_hi + Y_lo
+;;
 
 { .mfi
-      nop.m 999
-(p0)  fma.s1         cosh_FR_Y_lo_temp =  cosh_FR_C_hi, cosh_FR_peven, cosh_FR_C_lo       
-      nop.i 999 ;;
+      nop.m           0
+      fma.s1          fA654321 = fX4, fA6543, fA21
+      nop.i           0
 }
+;;
 
+// Dummy multiply to generate inexact
 { .mfi
-      nop.m 999
-(p0)  fma.s1         cosh_FR_Y_lo      =  cosh_FR_S_hi, cosh_FR_podd, cosh_FR_Y_lo_temp   
-      nop.i 999 ;;
+      nop.m           0
+      fmpy.s0         fTmp = fA6, fA6
+      nop.i           0
 }
-
 { .mfb
-      nop.m 999
-(p0)  fma.d.s0       f8 =  cosh_FR_C_hi, f1, cosh_FR_Y_lo                       
-(p0)  br.ret.sptk     b0 ;;                          
+      nop.m           0
+      fma.d.s0        f8 = fA654321, fXsq, f1
+      br.ret.sptk     b0                // Exit if 0 < |x| < 0.25
 }
+;;
 
-L(COSH_BY_EXP): 
 
-// When p7 is true,  we know that an overflow is not going to happen
-// When p7 is false, we must check for possible overflow
-// p7 is the over_SAFE flag
-// f44 = Scale * (Y_hi + Y_lo)
-//     =  cosh_FR_spos * (cosh_FR_Tjhi + cosh_FR_Y_lo)
+COSH_POSSIBLE_OVERFLOW:
 
-{ .mfi
-      nop.m 999
-(p0)  fma.s1         cosh_FR_Y_lo_temp =  cosh_FR_peven, f1,       cosh_FR_podd           
-      nop.i 999
-}
-
-// Now we are in EXP. This is the only path where an overflow is possible
-// but not for certain. So this is the only path where over_SAFE has any use.
-// r34 still has N-1
-// There is a danger of double-extended overflow   if N-1 > 16382 = 0x3ffe
-// There is a danger of double overflow            if N-1 > 0x3fe = 1022
+// Here if fMAX_DBL_NORM_ARG < |x| < fMIN_DBL_OFLOW_ARG
+// This cannot happen if input is a double, only if input higher precision.
+// Overflow is a possibility, not a certainty.
 
-{ .mlx
-       nop.m 999
-(p0)   movl                r32          = 0x00000000000003fe ;;                       
-}
+// Recompute result using status field 2 with user's rounding mode,
+// and wre set.  If result is larger than largest double, then we have
+// overflow
 
 { .mfi
-(p0)  cmp.gt.unc          p0,p7        = r34, r32                                 
-      nop.f 999
-      nop.i 999 ;;
+      mov             rGt_ln  = 0x103ff // Exponent for largest dbl + 1 ulp
+      fsetc.s2        0x7F,0x42         // Get user's round mode, set wre
+      nop.i           0
 }
+;;
 
 { .mfi
-      nop.m 999
-(p0)  fma.s1         cosh_FR_Y_lo      =  cosh_FR_Tjhi,  cosh_FR_Y_lo_temp, cosh_FR_Tjlo       
-      nop.i 999 ;;
+      setf.exp        fGt_pln = rGt_ln  // Create largest double + 1 ulp
+      fma.d.s2        fWre_urm_f8 = fS, fP, fS    // Result with wre set
+      nop.i           0
 }
+;;
 
 { .mfi
-      nop.m 999
-(p0)  fma.s1         cosh_FR_COSH_temp =  cosh_FR_Y_lo,  f1, cosh_FR_Tjhi                 
-      nop.i 999 ;;
+      nop.m           0
+      fsetc.s2        0x7F,0x40                   // Turn off wre in sf2
+      nop.i           0
 }
+;;
 
 { .mfi
-      nop.m 999
-(p0)  fma.d.s0       f44 = cosh_FR_spos,  cosh_FR_COSH_temp, f0                       
-      nop.i 999 ;;
+      nop.m           0
+      fcmp.ge.s1      p6, p0 =  fWre_urm_f8, fGt_pln // Test for overflow
+      nop.i           0
 }
+;;
 
-// If over_SAFE is set, return
 { .mfb
-       nop.m 999
-(p7)   fmerge.s            f8 = f44,f44
-(p7)  br.ret.sptk     b0 ;;                          
-}
-
-// Else see if we overflowed
-// S0 user supplied status
-// S2 user supplied status + WRE + TD  (Overflows)
-// If WRE is set then an overflow will not occur in EXP.
-// The input value that would cause a register (WRE) value to overflow is about 2^15
-// and this input would go into the HUGE path.
-// Answer with WRE is in f43.
-
-{ .mfi
-      nop.m 999
-(p0)  fsetc.s2            0x7F,0x42                                               
-      nop.i 999;;
-}
-
-{ .mfi
-      nop.m 999
-(p0)  fma.d.s2            f43  = cosh_FR_spos,  cosh_FR_COSH_temp, f0                      
-      nop.i 999 ;;
-}
-
-// 103FF => 103FF -FFFF = 400(true)
-// 400 + 3FF = 7FF, which is 1 more that the exponent of the largest
-// double (7FE). So 0 103FF 8000000000000000  is one ulp more than
-// largest double in register bias
-// Now  set p8 if the answer with WRE is greater than or equal this value
-// Also set p9 if the answer with WRE is less than or equal to negative this value
-
-{ .mlx
-       nop.m 999
-(p0)   movl                r32          = 0x00000000000103ff ;;                     
+      nop.m           0
+      nop.f           0
+(p6)  br.cond.spnt    COSH_CERTAIN_OVERFLOW // Branch if overflow
 }
+;;
 
-{ .mmf
-       nop.m 999
-(p0)   setf.exp            f41          = r32                                    
-(p0)   fsetc.s2            0x7F,0x40 ;;                                               
+{ .mfb
+      nop.m           0
+      fma.d.s0        f8 = fS, fP, fS
+      br.ret.sptk     b0                     // Exit if really no overflow
 }
+;;
 
-{ .mfi
-      nop.m 999
-(p0)  fcmp.ge.unc.s1      p8, p0       = f43, f41                               
-      nop.i 999
+COSH_CERTAIN_OVERFLOW:
+{ .mmi
+      sub             rTmp = rExp_mask, r0, 1
+;;
+      setf.exp        fTmp = rTmp
+      nop.i           0
 }
+;;
 
 { .mfi
-      nop.m 999
-(p0)  fmerge.ns           f42 = f41, f41                                          
-      nop.i 999 ;;
+      alloc           r32=ar.pfs,1,4,4,0
+      fmerge.s        FR_X = f8,f8
+      nop.i           0
 }
-
-// The error tag for overflow is 64
-{ .mii
-      nop.m 999
-      nop.i 999 ;;
-(p8)  mov                 r47 = 64 ;;                                               
-}
-
 { .mfb
-      nop.m 999
-(p0)  fcmp.le.unc.s1      p9, p0 =  f43, f42                                      
-(p8)  br.cond.spnt __libm_error_region ;;
-}
-
-{ .mii
-      nop.m 999
-      nop.i 999 ;;
-(p9)  mov                 r47 = 64                                               
-}
-
-{ .mib
-      nop.m 999
-      nop.i 999
-(p9)  br.cond.spnt __libm_error_region ;;
+      mov             GR_Parameter_TAG = 64
+      fma.d.s0        FR_RESULT = fTmp, fTmp, f0    // Set I,O and +INF result
+      br.cond.sptk    __libm_error_region
 }
+;;
 
+// Here if x unorm
+COSH_UNORM:
 { .mfb
-      nop.m 999
-(p0)  fmerge.s            f8 = f44,f44                                            
-(p0)  br.ret.sptk     b0 ;;                          
-}
-
-
-// for COSH_HUGE, put 24000 in exponent; take sign from input; add 1
-// SAFE: SAFE is always 0 for HUGE
-
-L(COSH_HUGE): 
-
-{ .mlx
-      nop.m 999
-(p0)  movl                r32 = 0x0000000000015dbf ;;                                
-}
-
-{ .mfi
-(p0)  setf.exp            f9  = r32                                               
-      nop.f 999
-      nop.i 999 ;;
-}
-
-{ .mfi
-      nop.m 999
-(p0)  fma.s1              cosh_FR_hi_lo = f1, f9, f1                              
-      nop.i 999 ;;
-}
-
-{ .mfi
-      nop.m 999
-(p0)  fma.d.s0            f44 = f9, cosh_FR_hi_lo, f0                             
-(p0)  mov                 r47 = 64                                               
+      getf.exp        rSignexp_x = fNormX    // Must recompute if x unorm
+      fcmp.eq.s0      p6, p0 = f8, f0        // Set D flag
+      br.cond.sptk    COSH_COMMON
 }
 ;;
 
-.endp cosh#
-ASM_SIZE_DIRECTIVE(cosh#)
-
-// Stack operations when calling error support.
-//       (1)               (2)                          (3) (call)              (4)
-//   sp   -> +          psp -> +                     psp -> +                   sp -> +
-//           |                 |                            |                         |
-//           |                 | <- GR_Y               R3 ->| <- GR_RESULT            | -> f8
-//           |                 |                            |                         |
-//           | <-GR_Y      Y2->|                       Y2 ->| <- GR_Y                 |
-//           |                 |                            |                         |
-//           |                 | <- GR_X               X1 ->|                         |
-//           |                 |                            |                         |
-//  sp-64 -> +          sp ->  +                     sp ->  +                         +
-//    save ar.pfs          save b0                                               restore gp
-//    save gp                                                                    restore ar.pfs
-
-.proc __libm_error_region
-__libm_error_region:
+GLOBAL_IEEE754_END(cosh)
+
+LOCAL_LIBM_ENTRY(__libm_error_region)
 .prologue
-// (1)
 { .mfi
         add   GR_Parameter_Y=-32,sp             // Parameter 2 value
         nop.f 0
@@ -1103,39 +821,32 @@ __libm_error_region:
 }
 { .mfi
 .fframe 64
-        add sp=-64,sp                          // Create new stack
+        add sp=-64,sp                           // Create new stack
         nop.f 0
-        mov GR_SAVE_GP=gp                      // Save gp
+        mov GR_SAVE_GP=gp                       // Save gp
 };;
-
-
-// (2)
 { .mmi
-        stfd [GR_Parameter_Y] = f0,16         // STORE Parameter 2 on stack
-        add GR_Parameter_X = 16,sp            // Parameter 1 address
+        stfd [GR_Parameter_Y] = FR_Y,16         // STORE Parameter 2 on stack
+        add GR_Parameter_X = 16,sp              // Parameter 1 address
 .save   b0, GR_SAVE_B0
-        mov GR_SAVE_B0=b0                     // Save b0
+        mov GR_SAVE_B0=b0                       // Save b0
 };;
-
 .body
-// (3)
 { .mib
-        stfd [GR_Parameter_X] = f8                    // STORE Parameter 1 on stack
+        stfd [GR_Parameter_X] = FR_X            // STORE Parameter 1 on stack
         add   GR_Parameter_RESULT = 0,GR_Parameter_Y  // Parameter 3 address
-        nop.b 0                                 
+        nop.b 0
 }
 { .mib
-        stfd [GR_Parameter_Y] = f44                   // STORE Parameter 3 on stack
+        stfd [GR_Parameter_Y] = FR_RESULT       // STORE Parameter 3 on stack
         add   GR_Parameter_Y = -16,GR_Parameter_Y
-        br.call.sptk b0=__libm_error_support#         // Call error handling function
+        br.call.sptk b0=__libm_error_support#   // Call error handling function
 };;
 { .mmi
-        nop.m 0
-        nop.m 0
         add   GR_Parameter_RESULT = 48,sp
+        nop.m 0
+        nop.i 0
 };;
-
-// (4)
 { .mmi
         ldfd  f8 = [GR_Parameter_RESULT]       // Get return result off stack
 .restore sp
@@ -1148,8 +859,6 @@ __libm_error_region:
         br.ret.sptk     b0                     // Return
 };;
 
-.endp __libm_error_region
-ASM_SIZE_DIRECTIVE(__libm_error_region)
-
+LOCAL_LIBM_END(__libm_error_region)
 .type   __libm_error_support#,@function
 .global __libm_error_support#
diff --git a/sysdeps/ia64/fpu/e_coshf.S b/sysdeps/ia64/fpu/e_coshf.S
index 969abc4ff6..91846e4717 100644
--- a/sysdeps/ia64/fpu/e_coshf.S
+++ b/sysdeps/ia64/fpu/e_coshf.S
@@ -1,10 +1,10 @@
 .file "coshf.s"
 
-// Copyright (C) 2000, 2001, Intel Corporation
+
+// Copyright (c) 2000 - 2002, Intel Corporation
 // All rights reserved.
-// 
-// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story,
-// and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
 //
 // Redistribution and use in source and binary forms, with or without
 // modification, are permitted provided that the following conditions are
@@ -20,1127 +20,690 @@
 // * The name of Intel Corporation may not be used to endorse or promote
 // products derived from this software without specific prior written
 // permission.
-//
-// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
-// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
-// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS 
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
 // CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
-// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, 
-// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 
-// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY 
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
 // OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
-// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 
-// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 
-// 
-// Intel Corporation is the author of this code, and requests that all
-// problem reports or change requests be submitted to it directly at 
-// http://developer.intel.com/opensource.
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
 //
+// Intel Corporation is the author of this code, and requests that all
+// problem reports or change requests be submitted to it directly at
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
+
 // History
-//==============================================================
-// 2/02/00  Initial version
-// 2/16/00  The error tag for coshf overflow changed to 65 (from 64).
-// 4/04/00  Unwind support added
-// 8/15/00  Bundle added after call to __libm_error_support to properly
+//*********************************************************************
+// 02/02/00 Initial version
+// 02/16/00 The error tag for coshf overflow changed to 65 (from 64).
+// 04/04/00 Unwind support added
+// 08/15/00 Bundle added after call to __libm_error_support to properly
 //          set [the previously overwritten] GR_Parameter_RESULT.
+// 05/07/01 Reworked to improve speed of all paths
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 11/15/02 Improved algorithm based on expf
 //
 // API
-//==============================================================
-// float = coshf(float)
-// input  floating point f8
-// output floating point f8
-
-
+//*********************************************************************
+// float coshf(float)
+//
 // Overview of operation
-//==============================================================
-// There are four paths
-
-// 1. |x| < 0.25        COSH_BY_POLY
-// 2. |x| < 32          COSH_BY_TBL
-// 3. |x| < 2^14        COSH_BY_EXP
-// 4. |x_ >= 2^14       COSH_HUGE
-
-// For paths 1, and 2 SAFE is always 1.
-// For path  4, Safe is always 0.
-// SAFE = 1 means we cannot overflow.
-
-#include "libm_support.h"
-
-// Assembly macros
-//==============================================================
-coshf_FR_X            = f44
-coshf_FR_SGNX         = f40
-
-coshf_FR_Inv_log2by64 = f9
-coshf_FR_log2by64_lo  = f11
-coshf_FR_log2by64_hi  = f10
-
-coshf_FR_A1           = f9
-coshf_FR_A2           = f10
-coshf_FR_A3           = f11
-
-coshf_FR_Rcub         = f12
-coshf_FR_M_temp       = f13
-coshf_FR_R_temp       = f13
-coshf_FR_Rsq          = f13
-coshf_FR_R            = f14
-
-coshf_FR_M            = f38
-
-coshf_FR_B1           = f15
-coshf_FR_B2           = f32
-coshf_FR_B3           = f33
-
-coshf_FR_peven_temp1  = f34
-coshf_FR_peven_temp2  = f35
-coshf_FR_peven        = f36
-
-coshf_FR_podd_temp1   = f34
-coshf_FR_podd_temp2   = f35
-coshf_FR_podd         = f37
-
-coshf_FR_J_temp       = f9
-coshf_FR_J            = f10
-
-coshf_FR_Mmj          = f39
-
-coshf_FR_N_temp1      = f11
-coshf_FR_N_temp2      = f12
-coshf_FR_N            = f13
-
-coshf_FR_spos         = f14
-coshf_FR_sneg         = f15
-
-coshf_FR_Tjhi         = f32
-coshf_FR_Tjlo         = f33
-coshf_FR_Tmjhi        = f34
-coshf_FR_Tmjlo        = f35
-
-GR_mJ           = r35
-GR_J            = r36
-
-AD_mJ           = r38
-AD_J            = r39
-
-
-GR_SAVE_B0                    = r42
-GR_SAVE_PFS                   = r41
-GR_SAVE_GP                    = r43 
-
-GR_Parameter_X                = r44
-GR_Parameter_Y                = r45
-GR_Parameter_RESULT           = r46
-GR_Parameter_TAG              = r47
-
-FR_X             = f8
-FR_Y             = f0
-FR_RESULT        = f44
-
-
-coshf_FR_C_hi         = f9
-coshf_FR_C_hi_temp    = f10
-coshf_FR_C_lo_temp1   = f11 
-coshf_FR_C_lo_temp2   = f12 
-coshf_FR_C_lo_temp3   = f13 
-
-coshf_FR_C_lo         = f38
-coshf_FR_S_hi         = f39
+//*********************************************************************
+// Case 1:  0 < |x| < 0.25
+//  Evaluate cosh(x) by a 8th order polynomial
+//  Care is take for the order of multiplication; and A2 is not exactly 1/4!,
+//  A3 is not exactly 1/6!, etc.
+//  cosh(x) = 1 + (A1*x^2 + A2*x^4 + A3*x^6 + A4*x^8)
+//
+// Case 2:  0.25 < |x| < 89.41598
+//  Algorithm is based on the identity cosh(x) = ( exp(x) + exp(-x) ) / 2.
+//  The algorithm for exp is described as below.  There are a number of
+//  economies from evaluating both exp(x) and exp(-x).  Although we
+//  are evaluating both quantities, only where the quantities diverge do we
+//  duplicate the computations.  The basic algorithm for exp(x) is described
+//  below.
+//
+// Take the input x. w is "how many log2/128 in x?"
+//  w = x * 64/log2
+//  NJ = int(w)
+//  x = NJ*log2/64 + R
 
-coshf_FR_S_hi_temp1   = f10
-coshf_FR_Y_hi         = f11 
-coshf_FR_Y_lo_temp    = f12 
-coshf_FR_Y_lo         = f13 
-coshf_FR_COSH         = f9
+//  NJ = 64*n + j
+//  x = n*log2 + (log2/64)*j + R
+//
+//  So, exp(x) = 2^n * 2^(j/64)* exp(R)
+//
+//  T =  2^n * 2^(j/64)
+//       Construct 2^n
+//       Get 2^(j/64) table
+//           actually all the entries of 2^(j/64) table are stored in DP and
+//           with exponent bits set to 0 -> multiplication on 2^n can be
+//           performed by doing logical "or" operation with bits presenting 2^n
+
+//  exp(R) = 1 + (exp(R) - 1)
+//  P = exp(R) - 1 approximated by Taylor series of 3rd degree
+//      P = A3*R^3 + A2*R^2 + R, A3 = 1/6, A2 = 1/2
+//
 
-coshf_FR_X2           = f9
-coshf_FR_X4           = f10
+//  The final result is reconstructed as follows
+//  exp(x) = T + T*P
 
-coshf_FR_P1           = f14
-coshf_FR_P2           = f15
-coshf_FR_P3           = f32
-coshf_FR_P4           = f33
-coshf_FR_P5           = f34
-coshf_FR_P6           = f35
+// Special values
+//*********************************************************************
+// coshf(+0)    = 1.0
+// coshf(-0)    = 1.0
 
-coshf_FR_TINY_THRESH  = f9
+// coshf(+qnan) = +qnan
+// coshf(-qnan) = -qnan
+// coshf(+snan) = +qnan
+// coshf(-snan) = -qnan
 
-coshf_FR_COSH_temp    = f10
-coshf_FR_SCALE        = f11 
+// coshf(-inf)  = +inf
+// coshf(+inf)  = +inf
 
-coshf_FR_hi_lo = f10
+// Overflow and Underflow
+//*********************************************************************
+// coshf(x) = largest single normal when
+//     x = 89.41598 = 0x42b2d4fc
+//
+// There is no underflow.
 
-coshf_FR_poly_podd_temp1    =  f11 
-coshf_FR_poly_podd_temp2    =  f13
-coshf_FR_poly_peven_temp1   =  f11
-coshf_FR_poly_peven_temp2   =  f13
+// Registers used
+//*********************************************************************
+// Floating Point registers used:
+// f8 input, output
+// f6,f7, f9 -> f15,  f32 -> f45
 
-// Data tables
-//==============================================================
+// General registers used:
+// r2, r3, r16 -> r38
 
-#ifdef _LIBC
-.rodata
-#else
-.data
-#endif
+// Predicate registers used:
+// p6 -> p15
 
+// Assembly macros
+//*********************************************************************
+// integer registers used
+// scratch
+rNJ                   = r2
+rNJ_neg               = r3
+
+rJ_neg                = r16
+rN_neg                = r17
+rSignexp_x            = r18
+rExp_x                = r18
+rExp_mask             = r19
+rExp_bias             = r20
+rAd1                  = r21
+rAd2                  = r22
+rJ                    = r23
+rN                    = r24
+rTblAddr              = r25
+rA3                   = r26
+rExpHalf              = r27
+rLn2Div64             = r28
+rGt_ln                = r29
+r17ones_m1            = r29
+rRightShifter         = r30
+rJ_mask               = r30
+r64DivLn2             = r31
+rN_mask               = r31
+// stacked
+GR_SAVE_PFS           = r32
+GR_SAVE_B0            = r33
+GR_SAVE_GP            = r34
+GR_Parameter_X        = r35
+GR_Parameter_Y        = r36
+GR_Parameter_RESULT   = r37
+GR_Parameter_TAG      = r38
+
+// floating point registers used
+FR_X                  = f10
+FR_Y                  = f1
+FR_RESULT             = f8
+// scratch
+fRightShifter         = f6
+f64DivLn2             = f7
+fNormX                = f9
+fNint                 = f10
+fN                    = f11
+fR                    = f12
+fLn2Div64             = f13
+fA2                   = f14
+fA3                   = f15
+// stacked
+fP                    = f32
+fT                    = f33
+fMIN_SGL_OFLOW_ARG    = f34
+fMAX_SGL_NORM_ARG     = f35
+fRSqr                 = f36
+fA1                   = f37
+fA21                  = f37
+fA4                   = f38
+fA43                  = f38
+fA4321                = f38
+fX4                   = f39
+fTmp                  = f39
+fGt_pln               = f39
+fWre_urm_f8           = f40
+fXsq                  = f40
+fP_neg                = f41
+fT_neg                = f42
+fExp                  = f43
+fExp_neg              = f44
+fAbsX                 = f45
+
+
+RODATA
 .align 16
-single_coshf_arg_reduction:
-ASM_TYPE_DIRECTIVE(single_coshf_arg_reduction,@object)
-   data8 0xB8AA3B295C17F0BC, 0x00004005
-   data8 0xB17217F7D1000000, 0x00003FF8
-   data8 0xCF79ABC9E3B39804, 0x00003FD0
-ASM_SIZE_DIRECTIVE(single_coshf_arg_reduction)
-
-single_coshf_p_table:
-ASM_TYPE_DIRECTIVE(single_coshf_p_table,@object)
-   data8 0x8000000000000000, 0x00003FFE
-   data8 0xAAAAAAAAAAAAAB80, 0x00003FFA
-   data8 0xB60B60B60B4FE884, 0x00003FF5
-   data8 0xD00D00D1021D7370, 0x00003FEF
-   data8 0x93F27740C0C2F1CC, 0x00003FE9
-   data8 0x8FA02AC65BCBD5BC, 0x00003FE2
-ASM_SIZE_DIRECTIVE(single_coshf_p_table)
-
-single_coshf_ab_table:
-ASM_TYPE_DIRECTIVE(single_coshf_ab_table,@object)
-   data8 0xAAAAAAAAAAAAAAAC, 0x00003FFC
-   data8 0x88888888884ECDD5, 0x00003FF8
-   data8 0xD00D0C6DCC26A86B, 0x00003FF2
-   data8 0x8000000000000002, 0x00003FFE
-   data8 0xAAAAAAAAAA402C77, 0x00003FFA
-   data8 0xB60B6CC96BDB144D, 0x00003FF5
-ASM_SIZE_DIRECTIVE(single_coshf_ab_table)
-
-single_coshf_j_table:
-ASM_TYPE_DIRECTIVE(single_coshf_j_table,@object)
-   data8 0xB504F333F9DE6484, 0x00003FFE, 0x1EB2FB13, 0x00000000
-   data8 0xB6FD91E328D17791, 0x00003FFE, 0x1CE2CBE2, 0x00000000
-   data8 0xB8FBAF4762FB9EE9, 0x00003FFE, 0x1DDC3CBC, 0x00000000
-   data8 0xBAFF5AB2133E45FB, 0x00003FFE, 0x1EE9AA34, 0x00000000
-   data8 0xBD08A39F580C36BF, 0x00003FFE, 0x9EAEFDC1, 0x00000000
-   data8 0xBF1799B67A731083, 0x00003FFE, 0x9DBF517B, 0x00000000
-   data8 0xC12C4CCA66709456, 0x00003FFE, 0x1EF88AFB, 0x00000000
-   data8 0xC346CCDA24976407, 0x00003FFE, 0x1E03B216, 0x00000000
-   data8 0xC5672A115506DADD, 0x00003FFE, 0x1E78AB43, 0x00000000
-   data8 0xC78D74C8ABB9B15D, 0x00003FFE, 0x9E7B1747, 0x00000000
-   data8 0xC9B9BD866E2F27A3, 0x00003FFE, 0x9EFE3C0E, 0x00000000
-   data8 0xCBEC14FEF2727C5D, 0x00003FFE, 0x9D36F837, 0x00000000
-   data8 0xCE248C151F8480E4, 0x00003FFE, 0x9DEE53E4, 0x00000000
-   data8 0xD06333DAEF2B2595, 0x00003FFE, 0x9E24AE8E, 0x00000000
-   data8 0xD2A81D91F12AE45A, 0x00003FFE, 0x1D912473, 0x00000000
-   data8 0xD4F35AABCFEDFA1F, 0x00003FFE, 0x1EB243BE, 0x00000000
-   data8 0xD744FCCAD69D6AF4, 0x00003FFE, 0x1E669A2F, 0x00000000
-   data8 0xD99D15C278AFD7B6, 0x00003FFE, 0x9BBC610A, 0x00000000
-   data8 0xDBFBB797DAF23755, 0x00003FFE, 0x1E761035, 0x00000000
-   data8 0xDE60F4825E0E9124, 0x00003FFE, 0x9E0BE175, 0x00000000
-   data8 0xE0CCDEEC2A94E111, 0x00003FFE, 0x1CCB12A1, 0x00000000
-   data8 0xE33F8972BE8A5A51, 0x00003FFE, 0x1D1BFE90, 0x00000000
-   data8 0xE5B906E77C8348A8, 0x00003FFE, 0x1DF2F47A, 0x00000000
-   data8 0xE8396A503C4BDC68, 0x00003FFE, 0x1EF22F22, 0x00000000
-   data8 0xEAC0C6E7DD24392F, 0x00003FFE, 0x9E3F4A29, 0x00000000
-   data8 0xED4F301ED9942B84, 0x00003FFE, 0x1EC01A5B, 0x00000000
-   data8 0xEFE4B99BDCDAF5CB, 0x00003FFE, 0x1E8CAC3A, 0x00000000
-   data8 0xF281773C59FFB13A, 0x00003FFE, 0x9DBB3FAB, 0x00000000
-   data8 0xF5257D152486CC2C, 0x00003FFE, 0x1EF73A19, 0x00000000
-   data8 0xF7D0DF730AD13BB9, 0x00003FFE, 0x9BB795B5, 0x00000000
-   data8 0xFA83B2DB722A033A, 0x00003FFE, 0x1EF84B76, 0x00000000
-   data8 0xFD3E0C0CF486C175, 0x00003FFE, 0x9EF5818B, 0x00000000
-   data8 0x8000000000000000, 0x00003FFF, 0x00000000, 0x00000000
-   data8 0x8164D1F3BC030773, 0x00003FFF, 0x1F77CACA, 0x00000000
-   data8 0x82CD8698AC2BA1D7, 0x00003FFF, 0x1EF8A91D, 0x00000000
-   data8 0x843A28C3ACDE4046, 0x00003FFF, 0x1E57C976, 0x00000000
-   data8 0x85AAC367CC487B15, 0x00003FFF, 0x9EE8DA92, 0x00000000
-   data8 0x871F61969E8D1010, 0x00003FFF, 0x1EE85C9F, 0x00000000
-   data8 0x88980E8092DA8527, 0x00003FFF, 0x1F3BF1AF, 0x00000000
-   data8 0x8A14D575496EFD9A, 0x00003FFF, 0x1D80CA1E, 0x00000000
-   data8 0x8B95C1E3EA8BD6E7, 0x00003FFF, 0x9D0373AF, 0x00000000
-   data8 0x8D1ADF5B7E5BA9E6, 0x00003FFF, 0x9F167097, 0x00000000
-   data8 0x8EA4398B45CD53C0, 0x00003FFF, 0x1EB70051, 0x00000000
-   data8 0x9031DC431466B1DC, 0x00003FFF, 0x1F6EB029, 0x00000000
-   data8 0x91C3D373AB11C336, 0x00003FFF, 0x1DFD6D8E, 0x00000000
-   data8 0x935A2B2F13E6E92C, 0x00003FFF, 0x9EB319B0, 0x00000000
-   data8 0x94F4EFA8FEF70961, 0x00003FFF, 0x1EBA2BEB, 0x00000000
-   data8 0x96942D3720185A00, 0x00003FFF, 0x1F11D537, 0x00000000
-   data8 0x9837F0518DB8A96F, 0x00003FFF, 0x1F0D5A46, 0x00000000
-   data8 0x99E0459320B7FA65, 0x00003FFF, 0x9E5E7BCA, 0x00000000
-   data8 0x9B8D39B9D54E5539, 0x00003FFF, 0x9F3AAFD1, 0x00000000
-   data8 0x9D3ED9A72CFFB751, 0x00003FFF, 0x9E86DACC, 0x00000000
-   data8 0x9EF5326091A111AE, 0x00003FFF, 0x9F3EDDC2, 0x00000000
-   data8 0xA0B0510FB9714FC2, 0x00003FFF, 0x1E496E3D, 0x00000000
-   data8 0xA27043030C496819, 0x00003FFF, 0x9F490BF6, 0x00000000
-   data8 0xA43515AE09E6809E, 0x00003FFF, 0x1DD1DB48, 0x00000000
-   data8 0xA5FED6A9B15138EA, 0x00003FFF, 0x1E65EBFB, 0x00000000
-   data8 0xA7CD93B4E965356A, 0x00003FFF, 0x9F427496, 0x00000000
-   data8 0xA9A15AB4EA7C0EF8, 0x00003FFF, 0x1F283C4A, 0x00000000
-   data8 0xAB7A39B5A93ED337, 0x00003FFF, 0x1F4B0047, 0x00000000
-   data8 0xAD583EEA42A14AC6, 0x00003FFF, 0x1F130152, 0x00000000
-   data8 0xAF3B78AD690A4375, 0x00003FFF, 0x9E8367C0, 0x00000000
-   data8 0xB123F581D2AC2590, 0x00003FFF, 0x9F705F90, 0x00000000
-   data8 0xB311C412A9112489, 0x00003FFF, 0x1EFB3C53, 0x00000000
-   data8 0xB504F333F9DE6484, 0x00003FFF, 0x1F32FB13, 0x00000000
-ASM_SIZE_DIRECTIVE(single_coshf_j_table)
-
-.align 32
-.global coshf#
-
-.section .text
-.proc  coshf#
-.align 32
-
-coshf: 
-
-#ifdef _LIBC
-.global __ieee754_coshf#
-.proc __ieee754_coshf#
-__ieee754_coshf:
-#endif
 
-// X NAN?
-
-
-{ .mfi
-      alloc r32 = ar.pfs,0,12,4,0                  
-(p0)  fclass.m.unc  p6,p7 = f8, 0xc3               
-	  nop.i 999 ;;                           
-}
-{ .mfb
-      nop.m 999
-(p6)  fma.s.s0   f8 = f8,f1,f8                  
-(p6)  br.ret.spnt b0 ;;                    
-}
-
-{ .mfi
-       nop.m 999
-       nop.f 999
-       nop.i 999 ;;
-}
+LOCAL_OBJECT_START(_coshf_table)
+data4 0x42b2d4fd         // Smallest single arg to overflow single result
+data4 0x42b2d4fc         // Largest single arg to give normal single result
+data4 0x00000000         // pad
+data4 0x00000000         // pad
+//
+// 2^(j/64) table, j goes from 0 to 63
+data8 0x0000000000000000 // 2^(0/64)
+data8 0x00002C9A3E778061 // 2^(1/64)
+data8 0x000059B0D3158574 // 2^(2/64)
+data8 0x0000874518759BC8 // 2^(3/64)
+data8 0x0000B5586CF9890F // 2^(4/64)
+data8 0x0000E3EC32D3D1A2 // 2^(5/64)
+data8 0x00011301D0125B51 // 2^(6/64)
+data8 0x0001429AAEA92DE0 // 2^(7/64)
+data8 0x000172B83C7D517B // 2^(8/64)
+data8 0x0001A35BEB6FCB75 // 2^(9/64)
+data8 0x0001D4873168B9AA // 2^(10/64)
+data8 0x0002063B88628CD6 // 2^(11/64)
+data8 0x0002387A6E756238 // 2^(12/64)
+data8 0x00026B4565E27CDD // 2^(13/64)
+data8 0x00029E9DF51FDEE1 // 2^(14/64)
+data8 0x0002D285A6E4030B // 2^(15/64)
+data8 0x000306FE0A31B715 // 2^(16/64)
+data8 0x00033C08B26416FF // 2^(17/64)
+data8 0x000371A7373AA9CB // 2^(18/64)
+data8 0x0003A7DB34E59FF7 // 2^(19/64)
+data8 0x0003DEA64C123422 // 2^(20/64)
+data8 0x0004160A21F72E2A // 2^(21/64)
+data8 0x00044E086061892D // 2^(22/64)
+data8 0x000486A2B5C13CD0 // 2^(23/64)
+data8 0x0004BFDAD5362A27 // 2^(24/64)
+data8 0x0004F9B2769D2CA7 // 2^(25/64)
+data8 0x0005342B569D4F82 // 2^(26/64)
+data8 0x00056F4736B527DA // 2^(27/64)
+data8 0x0005AB07DD485429 // 2^(28/64)
+data8 0x0005E76F15AD2148 // 2^(29/64)
+data8 0x0006247EB03A5585 // 2^(30/64)
+data8 0x0006623882552225 // 2^(31/64)
+data8 0x0006A09E667F3BCD // 2^(32/64)
+data8 0x0006DFB23C651A2F // 2^(33/64)
+data8 0x00071F75E8EC5F74 // 2^(34/64)
+data8 0x00075FEB564267C9 // 2^(35/64)
+data8 0x0007A11473EB0187 // 2^(36/64)
+data8 0x0007E2F336CF4E62 // 2^(37/64)
+data8 0x00082589994CCE13 // 2^(38/64)
+data8 0x000868D99B4492ED // 2^(39/64)
+data8 0x0008ACE5422AA0DB // 2^(40/64)
+data8 0x0008F1AE99157736 // 2^(41/64)
+data8 0x00093737B0CDC5E5 // 2^(42/64)
+data8 0x00097D829FDE4E50 // 2^(43/64)
+data8 0x0009C49182A3F090 // 2^(44/64)
+data8 0x000A0C667B5DE565 // 2^(45/64)
+data8 0x000A5503B23E255D // 2^(46/64)
+data8 0x000A9E6B5579FDBF // 2^(47/64)
+data8 0x000AE89F995AD3AD // 2^(48/64)
+data8 0x000B33A2B84F15FB // 2^(49/64)
+data8 0x000B7F76F2FB5E47 // 2^(50/64)
+data8 0x000BCC1E904BC1D2 // 2^(51/64)
+data8 0x000C199BDD85529C // 2^(52/64)
+data8 0x000C67F12E57D14B // 2^(53/64)
+data8 0x000CB720DCEF9069 // 2^(54/64)
+data8 0x000D072D4A07897C // 2^(55/64)
+data8 0x000D5818DCFBA487 // 2^(56/64)
+data8 0x000DA9E603DB3285 // 2^(57/64)
+data8 0x000DFC97337B9B5F // 2^(58/64)
+data8 0x000E502EE78B3FF6 // 2^(59/64)
+data8 0x000EA4AFA2A490DA // 2^(60/64)
+data8 0x000EFA1BEE615A27 // 2^(61/64)
+data8 0x000F50765B6E4540 // 2^(62/64)
+data8 0x000FA7C1819E90D8 // 2^(63/64)
+LOCAL_OBJECT_END(_coshf_table)
+
+LOCAL_OBJECT_START(cosh_p_table)
+data8 0x3efa3001dcf5905b // A4
+data8 0x3f56c1437543543e // A3
+data8 0x3fa5555572601504 // A2
+data8 0x3fdfffffffe2f097 // A1
+LOCAL_OBJECT_END(cosh_p_table)
 
-// X infinity 
-{ .mfi
-       nop.m 999
-(p0)  fclass.m.unc  p6,p0 = f8, 0x23               
-       nop.i 999 ;;
-}
 
-{ .mfb
-       nop.m 999
-(p6)     fmerge.s      f8 = f0,f8                  
-(p6)  br.ret.spnt    b0 ;;                  
-}
+.section .text
+GLOBAL_IEEE754_ENTRY(coshf)
 
-// Put 0.25 in f9; p6 true if x < 0.25
 { .mlx
-       nop.m 999
-(p0)     movl            r32 = 0x000000000000fffd ;;         
-}
-
-{ .mfi
-(p0)     setf.exp        f9 = r32                         
-       nop.f 999
-       nop.i 999 ;;
+      getf.exp        rSignexp_x = f8  // Must recompute if x unorm
+      movl            r64DivLn2 = 0x40571547652B82FE // 64/ln(2)
 }
-
-{ .mfi
-       nop.m 999
-(p0)  fmerge.s      coshf_FR_X    = f0,f8                
-       nop.i 999
+{ .mlx
+      addl            rTblAddr = @ltoff(_coshf_table),gp
+      movl            rRightShifter = 0x43E8000000000000 // DP Right Shifter
 }
+;;
 
 { .mfi
-       nop.m 999
-(p0)  fmerge.s      coshf_FR_SGNX = f8,f1                
-       nop.i 999 ;;
+      // point to the beginning of the table
+      ld8             rTblAddr = [rTblAddr]
+      fclass.m        p6, p0 = f8, 0x0b   // Test for x=unorm
+      addl            rA3 = 0x3E2AA, r0   // high bits of 1.0/6.0 rounded to SP
 }
-
 { .mfi
-       nop.m 999
-(p0)     fcmp.lt.unc     p0,p7 = coshf_FR_X,f9                    
-       nop.i 999 ;;
-}
-
-{ .mib
-       nop.m 999
-       nop.i 999
-(p7)     br.cond.sptk    L(COSH_BY_TBL) ;;                      
-}
-
-
-// COSH_BY_POLY: 
-
-// POLY cannot overflow so there is no need to call __libm_error_support
-// Get the values of P_x from the table
-
-{ .mmi
-      nop.m 999
-(p0)  addl           r34   = @ltoff(single_coshf_p_table), gp
-      nop.i 999
+      nop.m           0
+      fnorm.s1        fNormX = f8 // normalized x
+      addl            rExpHalf = 0xFFFE, r0 // exponent of 1/2
 }
 ;;
 
-{ .mmi
-      ld8 r34 = [r34]
-      nop.m 999
-      nop.i 999
-}
-;;
-
-// Calculate coshf_FR_X2 = ax*ax and coshf_FR_X4 = ax*ax*ax*ax
-{ .mmf
-       nop.m 999
-(p0)     ldfe       coshf_FR_P1 = [r34],16                 
-(p0)     fma.s1     coshf_FR_X2 = coshf_FR_X, coshf_FR_X, f0 ;;           
-}
-
-{ .mmi
-(p0)     ldfe       coshf_FR_P2 = [r34],16 ;;                 
-(p0)     ldfe       coshf_FR_P3 = [r34],16                 
-       nop.i 999 ;;
-}
-
-{ .mmi
-(p0)     ldfe       coshf_FR_P4 = [r34],16 ;;                 
-(p0)     ldfe       coshf_FR_P5 = [r34],16                 
-       nop.i 999 ;;
-}
-
 { .mfi
-(p0)     ldfe       coshf_FR_P6 = [r34],16                 
-(p0)     fma.s1     coshf_FR_X4 = coshf_FR_X2, coshf_FR_X2, f0         
-       nop.i 999 ;;
+      setf.d          f64DivLn2 = r64DivLn2 // load 64/ln(2) to FP reg
+      fclass.m        p15, p0 = f8, 0x1e3   // test for NaT,NaN,Inf
+      nop.i           0
 }
-
-// Calculate coshf_FR_podd = x4 *(x4 * P_5 + P_3) + P_1
-{ .mfi
-       nop.m 999
-(p0)     fma.s1     coshf_FR_poly_podd_temp1 = coshf_FR_X4, coshf_FR_P5, coshf_FR_P3                
-       nop.i 999 ;;
+{ .mlx
+      // load Right Shifter to FP reg
+      setf.d          fRightShifter = rRightShifter
+      movl            rLn2Div64 = 0x3F862E42FEFA39EF // DP ln(2)/64 in GR
 }
+;;
 
 { .mfi
-       nop.m 999
-(p0)     fma.s1     coshf_FR_podd            = coshf_FR_X4, coshf_FR_poly_podd_temp1, coshf_FR_P1   
-       nop.i 999
+      mov             rExp_mask = 0x1ffff
+      fcmp.eq.s1      p13, p0 = f0, f8 // test for x = 0.0
+      shl             rA3 = rA3, 12    // 0x3E2AA000, approx to 1.0/6.0 in SP
 }
-
-// Calculate coshf_FR_peven =  p_even = x4 *(x4 * (x4 * P_6 + P_4) + P_2)
-{ .mfi
-       nop.m 999
-(p0)     fma.s1     coshf_FR_poly_peven_temp1 = coshf_FR_X4, coshf_FR_P6, coshf_FR_P4               
-       nop.i 999 ;;
+{ .mfb
+      nop.m           0
+      nop.f           0
+(p6)  br.cond.spnt    COSH_UNORM            // Branch if x=unorm
 }
+;;
 
+COSH_COMMON:
 { .mfi
-       nop.m 999
-(p0)     fma.s1     coshf_FR_poly_peven_temp2 = coshf_FR_X4, coshf_FR_poly_peven_temp1, coshf_FR_P2 
-       nop.i 999 ;;
+      setf.exp        fA2 = rExpHalf        // load A2 to FP reg
+      nop.f           0
+      mov             rExp_bias = 0xffff
 }
-
-{ .mfi
-       nop.m 999
-(p0)     fma.s1     coshf_FR_peven       = coshf_FR_X4, coshf_FR_poly_peven_temp2, f0         
-       nop.i 999 ;;
+{ .mfb
+      setf.d          fLn2Div64 = rLn2Div64 // load ln(2)/64 to FP reg
+(p15) fma.s.s0        f8 = f8, f8, f0       // result if x = NaT,NaN,Inf
+(p15) br.ret.spnt     b0                    // exit here if x = NaT,NaN,Inf
 }
-
-// Y_lo = x2*p_odd + p_even
-// Calculate f8 = Y_hi + Y_lo 
+;;
 
 { .mfi
-       nop.m 999
-(p0)     fma.s1     coshf_FR_Y_lo         = coshf_FR_X2, coshf_FR_podd,  coshf_FR_peven    
-       nop.i 999 ;;
+      // min overflow and max normal threshold
+      ldfps           fMIN_SGL_OFLOW_ARG, fMAX_SGL_NORM_ARG = [rTblAddr], 8
+      nop.f           0
+      and             rExp_x = rExp_mask, rSignexp_x // Biased exponent of x
 }
-
 { .mfb
-       nop.m 999
-(p0)     fma.s.s0   f8                   = f1, f1, coshf_FR_Y_lo                        
-(p0)     br.ret.sptk    b0 ;;                                                        
-}
-
-
-L(COSH_BY_TBL): 
-
-// Now that we are at TBL; so far all we know is that |x| >= 0.25.
-// The first two steps are the same for TBL and EXP, but if we are HUGE
-// Double
-// Go to HUGE if |x| >= 2^10, 10009 (register-biased) is e = 10 (true)
-// Single
-// Go to HUGE if |x| >= 2^7,  10006 (register-biased) is e =  7 (true)
-// we want to leave now. Go to HUGE if |x| >= 2^14
-// 1000d (register-biased) is e = 14 (true)
-
-{ .mlx
-       nop.m 999
-(p0)     movl            r32 = 0x0000000000010006 ;;              
+      setf.s          fA3 = rA3                  // load A3 to FP reg
+(p13) fma.s.s0        f8 = f1, f1, f0            // result if x = 0.0
+(p13) br.ret.spnt     b0                         // exit here if x =0.0
 }
+;;
 
 { .mfi
-(p0)     setf.exp        f9 = r32                              
-       nop.f 999
-       nop.i 999 ;;
+      sub             rExp_x = rExp_x, rExp_bias // True exponent of x
+      fmerge.s        fAbsX = f0, fNormX         // Form |x|
+      nop.i           0
 }
+;;
 
 { .mfi
-       nop.m 999
-(p0)     fcmp.ge.unc     p6,p7 = coshf_FR_X,f9                  
-       nop.i 999 ;;
-}
-
-{ .mib
-       nop.m 999
-       nop.i 999
-(p6)     br.cond.spnt    L(COSH_HUGE) ;;                             
+      nop.m           0
+      // x*(64/ln(2)) + Right Shifter
+      fma.s1          fNint = fNormX, f64DivLn2, fRightShifter
+      add             rTblAddr = 8, rTblAddr
 }
-
-// r32 = 1
-// r34 = N-1 
-// r35 = N
-// r36 = j
-// r37 = N+1
-
-// TBL can never overflow
-// coshf(x) = coshf(B+R)
-//         = coshf(B) coshf(R) + sinh(B) sinh(R) 
-// coshf(R) can be approximated by 1 + p_even
-// sinh(R) can be approximated by p_odd
-
-// ******************************************************
-// STEP 1 (TBL and EXP)
-// ******************************************************
-// Get the following constants.
-// f9  = Inv_log2by64
-// f10 = log2by64_hi
-// f11 = log2by64_lo
-
-{ .mmi
-(p0)     adds                 r32 = 0x1,r0      
-(p0)     addl           r34   = @ltoff(single_coshf_arg_reduction), gp
-         nop.i 999
+{ .mfb
+      cmp.gt          p7, p0 = -2, rExp_x        // Test |x| < 2^(-2)
+      fma.s1          fXsq = fNormX, fNormX, f0  // x*x for small path
+(p7)  br.cond.spnt    COSH_SMALL                 // Branch if 0 < |x| < 2^-2
 }
 ;;
 
-
-// We want 2^(N-1) and 2^(-N-1). So bias N-1 and -N-1 and
-// put them in an exponent.
-// coshf_FR_spos = 2^(N-1) and coshf_FR_sneg = 2^(-N-1)
-// r39 = 0xffff + (N-1)  = 0xffff +N -1
-// r40 = 0xffff - (N +1) = 0xffff -N -1
-
-{ .mlx
-         ld8 r34 = [r34]
-(p0)     movl                r38 = 0x000000000000fffe ;; 
-}
-
-{ .mmi
-(p0)     ldfe            coshf_FR_Inv_log2by64 = [r34],16 ;;            
-(p0)     ldfe            coshf_FR_log2by64_hi  = [r34],16            
-       nop.i 999 ;;
-}
-
-{ .mbb
-(p0)     ldfe            coshf_FR_log2by64_lo  = [r34],16            
-       nop.b 999
-       nop.b 999 ;;
-}
-
-// Get the A coefficients
-// f9  = A_1
-// f10 = A_2
-// f11 = A_3
-
-{ .mmi
-      nop.m 999
-(p0)  addl           r34   = @ltoff(single_coshf_ab_table), gp
-      nop.i 999
+{ .mfi
+      nop.m           0
+      // check for overflow
+      fcmp.ge.s1      p12, p13 = fAbsX, fMIN_SGL_OFLOW_ARG
+      mov             rJ_mask = 0x3f             // 6-bit mask for J
 }
 ;;
 
-{ .mmi
-      ld8 r34 = [r34]
-      nop.m 999
-      nop.i 999
+{ .mfb
+      nop.m           0
+      fms.s1          fN = fNint, f1, fRightShifter // n in FP register
+      // branch out if overflow
+(p12) br.cond.spnt    COSH_CERTAIN_OVERFLOW
 }
 ;;
 
-
-// Calculate M and keep it as integer and floating point.
-// M = round-to-integer(x*Inv_log2by64)
-// coshf_FR_M = M = truncate(ax/(log2/64))
-// Put the significand of M in r35
-//    and the floating point representation of M in coshf_FR_M
-
-{ .mfi
-       nop.m 999
-(p0)     fma.s1          coshf_FR_M      = coshf_FR_X, coshf_FR_Inv_log2by64, f0 
-       nop.i 999
-}
-
-{ .mfi
-(p0)     ldfe            coshf_FR_A1 = [r34],16            
-       nop.f 999
-       nop.i 999 ;;
-}
-
 { .mfi
-       nop.m 999
-(p0)     fcvt.fx.s1      coshf_FR_M_temp = coshf_FR_M                      
-       nop.i 999 ;;
+      getf.sig        rNJ = fNint                   // bits of n, j
+      // check for possible overflow
+      fcmp.gt.s1      p13, p0 = fAbsX, fMAX_SGL_NORM_ARG
+      nop.i           0
 }
+;;
 
 { .mfi
-       nop.m 999
-(p0)     fnorm.s1        coshf_FR_M      = coshf_FR_M_temp                 
-       nop.i 999 ;;
+      addl            rN = 0xFFBF - 63, rNJ      // biased and shifted n-1,j
+      fnma.s1         fR = fLn2Div64, fN, fNormX // R = x - N*ln(2)/64
+      and             rJ = rJ_mask, rNJ          // bits of j
 }
-
 { .mfi
-(p0)     getf.sig        r35       = coshf_FR_M_temp                 
-       nop.f 999
-       nop.i 999 ;;
-}
-
-// M is still in r35. Calculate j. j is the signed extension of the six lsb of M. It
-// has a range of -32 thru 31.
-// r35 = M
-// r36 = j 
-
-{ .mii
-       nop.m 999
-       nop.i 999 ;;
-(p0)     and            r36 = 0x3f, r35 ;;   
+      sub             rNJ_neg = r0, rNJ          // bits of n, j for -x
+      nop.f           0
+      andcm           rN_mask = -1, rJ_mask      // 0xff...fc0 to mask N
 }
-
-// Calculate R
-// f13 = f44 - f12*f10 = x - M*log2by64_hi
-// f14 = f13 - f8*f11 = R = (x - M*log2by64_hi) - M*log2by64_lo
+;;
 
 { .mfi
-       nop.m 999
-(p0)     fnma.s1        coshf_FR_R_temp = coshf_FR_M, coshf_FR_log2by64_hi, coshf_FR_X      
-       nop.i 999
+      shladd          rJ = rJ, 3, rTblAddr // address in the 2^(j/64) table
+      nop.f           0
+      and             rN = rN_mask, rN     // biased, shifted n-1
 }
-
 { .mfi
-(p0)     ldfe            coshf_FR_A2 = [r34],16            
-       nop.f 999
-       nop.i 999 ;;
+      addl            rN_neg = 0xFFBF - 63, rNJ_neg // -x biased, shifted n-1,j
+      nop.f           0
+      and             rJ_neg = rJ_mask, rNJ_neg     // bits of j for -x
 }
+;;
 
 { .mfi
-       nop.m 999
-(p0)     fnma.s1        coshf_FR_R      = coshf_FR_M, coshf_FR_log2by64_lo, coshf_FR_R_temp 
-       nop.i 999
+      ld8             rJ = [rJ]                    // Table value
+      nop.f           0
+      shl             rN = rN, 46 // 2^(n-1) bits in DP format
 }
-
-// Get the B coefficients
-// f15 = B_1
-// f32 = B_2
-// f33 = B_3
-
-{ .mmi
-(p0)     ldfe            coshf_FR_A3 = [r34],16 ;;            
-(p0)     ldfe            coshf_FR_B1 = [r34],16            
-       nop.i 999 ;;
-}
-
-{ .mmi
-(p0)     ldfe            coshf_FR_B2 = [r34],16 ;;            
-(p0)     ldfe            coshf_FR_B3 = [r34],16            
-       nop.i 999 ;;
-}
-
-{ .mii
-       nop.m 999
-(p0)     shl            r34 = r36,  0x2 ;;   
-(p0)     sxt1           r37 = r34 ;;         
-}
-
-// ******************************************************
-// STEP 2 (TBL and EXP)
-// ******************************************************
-// Calculate Rsquared and Rcubed in preparation for p_even and p_odd
-// f12 = R*R*R
-// f13 = R*R
-// f14 = R <== from above
-
 { .mfi
-       nop.m 999
-(p0)     fma.s1          coshf_FR_Rsq  = coshf_FR_R,   coshf_FR_R, f0  
-(p0)     shr            r36 = r37,  0x2 ;;   
-}
-
-// r34 = M-j = r35 - r36
-// r35 = N = (M-j)/64
-
-{ .mii
-(p0)     sub                  r34 = r35, r36    
-       nop.i 999 ;;
-(p0)     shr                  r35 = r34, 0x6 ;;    
-}
-
-{ .mii
-(p0)     sub                 r40 = r38, r35           
-(p0)     adds                 r37 = 0x1, r35    
-(p0)     add                 r39 = r38, r35 ;;           
-}
-
-// Get the address of the J table, add the offset,
-// addresses are sinh_AD_mJ and sinh_AD_J, get the T value
-// f32 = T(j)_hi
-// f33 = T(j)_lo
-// f34 = T(-j)_hi
-// f35 = T(-j)_lo
-
-{ .mmi
-(p0)     sub                  r34 = r35, r32    
-(p0)     addl    r37   = @ltoff(single_coshf_j_table), gp
-         nop.i 999
+      shladd          rJ_neg = rJ_neg, 3, rTblAddr // addr in 2^(j/64) table -x
+      nop.f           0
+      and             rN_neg = rN_mask, rN_neg     // biased, shifted n-1 for -x
 }
 ;;
 
 { .mfi
-      ld8 r37 = [r37]
-(p0)     fma.s1          coshf_FR_Rcub = coshf_FR_Rsq, coshf_FR_R, f0  
-       nop.i 999
-}
-
-// ******************************************************
-// STEP 3 Now decide if we need to branch to EXP
-// ******************************************************
-// Put 32 in f9; p6 true if x < 32
-
-{ .mlx
-       nop.m 999
-(p0)     movl                r32 = 0x0000000000010004 ;;               
+      ld8             rJ_neg = [rJ_neg]            // Table value for -x
+      nop.f           0
+      shl             rN_neg = rN_neg, 46 // 2^(n-1) bits in DP format for -x
 }
-
-// Calculate p_even
-// f34 = B_2 + Rsq *B_3
-// f35 = B_1 + Rsq*f34      = B_1 + Rsq * (B_2 + Rsq *B_3)
-// f36 = peven = Rsq * f35 = Rsq * (B_1 + Rsq * (B_2 + Rsq *B_3))
+;;
 
 { .mfi
-       nop.m 999
-(p0)     fma.s1          coshf_FR_peven_temp1 = coshf_FR_Rsq, coshf_FR_B3,          coshf_FR_B2  
-       nop.i 999 ;;
+      or              rN = rN, rJ // bits of 2^n * 2^(j/64) in DP format
+      nop.f           0
+      nop.i           0
 }
+;;
 
-{ .mfi
-       nop.m 999
-(p0)     fma.s1          coshf_FR_peven_temp2 = coshf_FR_Rsq, coshf_FR_peven_temp1, coshf_FR_B1  
-       nop.i 999
+{ .mmf
+      setf.d          fT = rN            // 2^(n-1) * 2^(j/64)
+      or              rN_neg = rN_neg, rJ_neg // -x bits of 2^n * 2^(j/64) in DP
+      fma.s1          fRSqr = fR, fR, f0 // R^2
 }
-
-// Calculate p_odd
-// f34 = A_2 + Rsq *A_3
-// f35 = A_1 + Rsq * (A_2 + Rsq *A_3)
-// f37 = podd = R + Rcub * (A_1 + Rsq * (A_2 + Rsq *A_3))
+;;
 
 { .mfi
-       nop.m 999
-(p0)     fma.s1          coshf_FR_podd_temp1 = coshf_FR_Rsq,        coshf_FR_A3,         coshf_FR_A2  
-       nop.i 999 ;;
+      setf.d          fT_neg = rN_neg    // 2^(n-1) * 2^(j/64) for -x
+      fma.s1          fP = fA3, fR, fA2  // A3*R + A2
+      nop.i           0
 }
-
 { .mfi
-(p0)     setf.exp            coshf_FR_N_temp1 = r39            
-       nop.f 999
-       nop.i 999 ;;
+      nop.m           0
+      fnma.s1         fP_neg = fA3, fR, fA2  // A3*R + A2 for -x
+      nop.i           0
 }
+;;
 
 { .mfi
-       nop.m 999
-(p0)     fma.s1          coshf_FR_peven       = coshf_FR_Rsq, coshf_FR_peven_temp2, f0     
-       nop.i 999
+      nop.m           0
+      fma.s1          fP = fP, fRSqr, fR // P = (A3*R + A2)*R^2 + R
+      nop.i           0
 }
-
 { .mfi
-       nop.m 999
-(p0)     fma.s1          coshf_FR_podd_temp2 = coshf_FR_Rsq,        coshf_FR_podd_temp1, coshf_FR_A1  
-       nop.i 999 ;;
+      nop.m           0
+      fms.s1          fP_neg = fP_neg, fRSqr, fR // P = (A3*R + A2)*R^2 + R, -x
+      nop.i           0
 }
+;;
 
 { .mfi
-(p0)     setf.exp            f9  = r32                              
-       nop.f 999
-       nop.i 999 ;;
+      nop.m           0
+      fmpy.s0         fTmp = fLn2Div64, fLn2Div64       // Force inexact
+      nop.i           0
 }
+;;
 
 { .mfi
-       nop.m 999
-(p0)     fma.s1          coshf_FR_podd       = coshf_FR_podd_temp2, coshf_FR_Rcub,       coshf_FR_R   
-       nop.i 999
-}
-
-// sinh_GR_mj contains the table offset for -j
-// sinh_GR_j  contains the table offset for +j
-// p6 is true when j <= 0
-
-{ .mlx
-(p0)     setf.exp            coshf_FR_N_temp2 = r40            
-(p0)     movl                r40 = 0x0000000000000020 ;;    
+      nop.m           0
+      fma.s1          fExp = fP, fT, fT                 // exp(x)/2
+      nop.i           0
 }
-
-{ .mfi
-(p0)     sub                 GR_mJ = r40,  r36           
-(p0)     fmerge.se           coshf_FR_spos    = coshf_FR_N_temp1, f1 
-(p0)     adds                GR_J  = 0x20, r36 ;;           
+{ .mfb
+      nop.m           0
+      fma.s1          fExp_neg = fP_neg, fT_neg, fT_neg // exp(-x)/2
+      // branch out if possible overflow result
+(p13) br.cond.spnt    COSH_POSSIBLE_OVERFLOW
 }
+;;
 
-{ .mii
-       nop.m 999
-(p0)     shl                  GR_mJ = GR_mJ, 5 ;;   
-(p0)     add                  AD_mJ = r37, GR_mJ ;; 
+{ .mfb
+      nop.m           0
+      // final result in the absence of overflow
+      fma.s.s0        f8 = fExp, f1, fExp_neg  // result = (exp(x)+exp(-x))/2
+      // exit here in the absence of overflow
+      br.ret.sptk     b0              // Exit main path, 0.25 <= |x| < 89.41598
 }
+;;
 
+// Here if 0 < |x| < 0.25.  Evaluate 8th order polynomial.
+COSH_SMALL:
 { .mmi
-       nop.m 999
-(p0)     ldfe                 coshf_FR_Tmjhi = [AD_mJ],16                 
-(p0)     shl                  GR_J  = GR_J, 5 ;;    
-}
-
-{ .mfi
-(p0)     ldfs                 coshf_FR_Tmjlo = [AD_mJ],16                 
-(p0)     fcmp.lt.unc.s1      p6,p7 = coshf_FR_X,f9                          
-(p0)     add                  AD_J  = r37, GR_J ;;  
+      add             rAd1 = 0x200, rTblAddr
+      add             rAd2 = 0x210, rTblAddr
+      nop.i           0
 }
+;;
 
 { .mmi
-(p0)     ldfe                 coshf_FR_Tjhi  = [AD_J],16 ;;                  
-(p0)     ldfs                 coshf_FR_Tjlo  = [AD_J],16                  
-       nop.i 999 ;;
-}
-
-{ .mfb
-       nop.m 999
-(p0)     fmerge.se           coshf_FR_sneg    = coshf_FR_N_temp2, f1 
-(p7)     br.cond.spnt        L(COSH_BY_EXP) ;;                            
-}
-
-// ******************************************************
-// If NOT branch to EXP
-// ******************************************************
-// Calculate C_hi
-// ******************************************************
-// coshf_FR_C_hi_temp = coshf_FR_sneg * coshf_FR_Tmjhi
-// coshf_FR_C_hi = coshf_FR_spos * coshf_FR_Tjhi + (coshf_FR_sneg * coshf_FR_Tmjhi)
-
-{ .mfi
-       nop.m 999
-(p0)    fma.s1         coshf_FR_C_hi_temp = coshf_FR_sneg, coshf_FR_Tmjhi, f0                   
-       nop.i 999 ;;
-}
-
-{ .mfi
-       nop.m 999
-(p0)    fma.s1         coshf_FR_C_hi      = coshf_FR_spos, coshf_FR_Tjhi,  coshf_FR_C_hi_temp    
-       nop.i 999
-}
-
-// ******************************************************
-// Calculate S_hi
-// ******************************************************
-// coshf_FR_S_hi_temp1 = coshf_FR_sneg * coshf_FR_Tmjhi
-// coshf_FR_S_hi = coshf_FR_spos * coshf_FR_Tjhi - coshf_FR_C_hi_temp1
-
-{ .mfi
-       nop.m 999
-(p0)     fma.s1        coshf_FR_S_hi_temp1 =  coshf_FR_sneg, coshf_FR_Tmjhi, f0                
-       nop.i 999 ;;
-}
-
-// ******************************************************
-// Calculate C_lo
-// ******************************************************
-// coshf_FR_C_lo_temp1 = coshf_FR_spos * coshf_FR_Tjhi - coshf_FR_C_hi
-// coshf_FR_C_lo_temp2 = coshf_FR_sneg * coshf_FR_Tmjlo + (coshf_FR_spos * coshf_FR_Tjhi - coshf_FR_C_hi)
-// coshf_FR_C_lo_temp1 = coshf_FR_sneg * coshf_FR_Tmjlo
-// coshf_FR_C_lo_temp3 = coshf_FR_spos * coshf_FR_Tjlo + (coshf_FR_sneg * coshf_FR_Tmjlo)
-// coshf_FR_C_lo = coshf_FR_C_lo_temp3 + coshf_FR_C_lo_temp2
-
-{ .mfi
-       nop.m 999
-(p0)     fms.s1        coshf_FR_C_lo_temp1 = coshf_FR_spos, coshf_FR_Tjhi,  coshf_FR_C_hi        
-       nop.i 999
-}
-
-{ .mfi
-       nop.m 999
-(p0)     fms.s1        coshf_FR_S_hi       =  coshf_FR_spos, coshf_FR_Tjhi, coshf_FR_S_hi_temp1 
-       nop.i 999 ;;
-}
-
-{ .mfi
-       nop.m 999
-(p0)     fma.s1        coshf_FR_C_lo_temp2 = coshf_FR_sneg, coshf_FR_Tmjhi, coshf_FR_C_lo_temp1  
-       nop.i 999
+      ldfpd           fA4, fA3 = [rAd1]
+      ldfpd           fA2, fA1 = [rAd2]
+      nop.i           0
 }
+;;
 
 { .mfi
-       nop.m 999
-(p0)     fma.s1        coshf_FR_C_lo_temp1 = coshf_FR_sneg, coshf_FR_Tmjlo, f0                  
-       nop.i 999 ;;
+      nop.m           0
+      fma.s1          fX4 = fXsq, fXsq, f0
+      nop.i           0
 }
+;;
 
 { .mfi
-       nop.m 999
-(p0)     fma.s1        coshf_FR_C_lo_temp3 =  coshf_FR_spos, coshf_FR_Tjlo,  coshf_FR_C_lo_temp1 
-       nop.i 999 ;;
+      nop.m           0
+      fma.s1          fA43 = fXsq, fA4, fA3
+      nop.i           0
 }
-
 { .mfi
-       nop.m 999
-(p0)     fma.s1        coshf_FR_C_lo       =  coshf_FR_C_lo_temp3, f1,   coshf_FR_C_lo_temp2    
-       nop.i 999 ;;
+      nop.m           0
+      fma.s1          fA21 = fXsq, fA2, fA1
+      nop.i           0
 }
-
-// ******************************************************
-// coshf_FR_Y_lo_temp = coshf_FR_C_hi * coshf_FR_peven + coshf_FR_C_lo
-// coshf_FR_Y_lo = coshf_FR_S_hi * coshf_FR_podd + coshf_FR_Y_lo_temp
-// coshf_FR_COSH = Y_hi + Y_lo
+;;
 
 { .mfi
-       nop.m 999
-(p0)    fma.s1         coshf_FR_Y_lo_temp =  coshf_FR_C_hi, coshf_FR_peven, coshf_FR_C_lo       
-       nop.i 999 ;;
+      nop.m           0
+      fma.s1          fA4321 = fX4, fA43, fA21
+      nop.i           0
 }
+;;
 
+// Dummy multiply to generate inexact
 { .mfi
-       nop.m 999
-(p0)    fma.s1         coshf_FR_Y_lo      =  coshf_FR_S_hi, coshf_FR_podd, coshf_FR_Y_lo_temp   
-       nop.i 999 ;;
+      nop.m           0
+      fmpy.s0         fTmp = fA4, fA4
+      nop.i           0
 }
-
 { .mfb
-       nop.m 999
-(p0)    fma.s.s0       f8 =  coshf_FR_C_hi, f1, coshf_FR_Y_lo                       
-(p0)    br.ret.sptk        b0 ;;                                           
+      nop.m           0
+      fma.s.s0        f8 = fA4321, fXsq, f1
+      br.ret.sptk     b0                // Exit if 0 < |x| < 0.25
 }
+;;
 
+COSH_POSSIBLE_OVERFLOW:
 
-L(COSH_BY_EXP): 
+// Here if fMAX_SGL_NORM_ARG < x < fMIN_SGL_OFLOW_ARG
+// This cannot happen if input is a single, only if input higher precision.
+// Overflow is a possibility, not a certainty.
 
-// When p7 is true,  we know that an overflow is not going to happen
-// When p7 is false, we must check for possible overflow
-// p7 is the over_SAFE flag
-// f44 = Scale * (Y_hi + Y_lo)
-//     =  coshf_FR_spos * (coshf_FR_Tjhi + coshf_FR_Y_lo)
+// Recompute result using status field 2 with user's rounding mode,
+// and wre set.  If result is larger than largest single, then we have
+// overflow
 
 { .mfi
-       nop.m 999
-(p0)    fma.s1         coshf_FR_Y_lo_temp =  coshf_FR_peven, f1,       coshf_FR_podd           
-       nop.i 999
-}
-
-// Now we are in EXP. This is the only path where an overflow is possible
-// but not for certain. So this is the only path where over_SAFE has any use.
-// r34 still has N-1
-// There is a danger of double-extended overflow   if N-1 > 16382 = 0x3ffe
-// There is a danger of double overflow            if N-1 > 0x3fe = 1022
-// There is a danger of single overflow            if N-1 > 0x7e = 126
-
-{ .mlx
-       nop.m 999
-(p0)   movl                r32          = 0x000000000000007e ;;                       
-}
-
-{ .mfi
-(p0)   cmp.gt.unc          p0,p7        = r34, r32                                 
-       nop.f 999
-       nop.i 999 ;;
+      mov             rGt_ln  = 0x1007f // Exponent for largest single + 1 ulp
+      fsetc.s2        0x7F,0x42         // Get user's round mode, set wre
+      nop.i           0
 }
+;;
 
 { .mfi
-       nop.m 999
-(p0)    fma.s1         coshf_FR_Y_lo      =  coshf_FR_Tjhi,  coshf_FR_Y_lo_temp, coshf_FR_Tjlo       
-       nop.i 999 ;;
+      setf.exp        fGt_pln = rGt_ln  // Create largest single + 1 ulp
+      fma.s.s2        fWre_urm_f8 = fP, fT, fT    // Result with wre set
+      nop.i           0
 }
+;;
 
 { .mfi
-       nop.m 999
-(p0)    fma.s1         coshf_FR_COSH_temp =  coshf_FR_Y_lo,  f1, coshf_FR_Tjhi                 
-       nop.i 999 ;;
+      nop.m           0
+      fsetc.s2        0x7F,0x40                   // Turn off wre in sf2
+      nop.i           0
 }
+;;
 
 { .mfi
-       nop.m 999
-(p0)    fma.s.s0       f44 = coshf_FR_spos,  coshf_FR_COSH_temp, f0                       
-       nop.i 999 ;;
+      nop.m           0
+      fcmp.ge.s1      p6, p0 =  fWre_urm_f8, fGt_pln // Test for overflow
+      nop.i           0
 }
+;;
 
-// If over_SAFE is set, return
 { .mfb
-       nop.m 999
-(p7)   fmerge.s            f8 = f44,f44
-(p7)   br.ret.sptk        b0 ;;
-}
-
-// Else see if we overflowed
-// S0 user supplied status
-// S2 user supplied status + WRE + TD  (Overflows)
-// If WRE is set then an overflow will not occur in EXP.
-// The input value that would cause a register (WRE) value to overflow is about 2^15
-// and this input would go into the HUGE path.
-// Answer with WRE is in f43.
-
-{ .mfi
-       nop.m 999
-(p0)   fsetc.s2            0x7F,0x42                                               
-       nop.i 999;;
-}
-
-{ .mfi
-       nop.m 999
-(p0)   fma.s.s2            f43  = coshf_FR_spos,  coshf_FR_COSH_temp, f0                      
-       nop.i 999 ;;
-}
-
-// 1 more that the exponent of the largest double (7FE)  = 7FF
-// 7FF - 3FF = 400 (true); 400 + FFFF = 103FF (register-biased)
-// So 0 103FF 8000000000000000  is one ulp more than
-// largest double in register bias
-// 1 more that the exponent of the largest single (FE)  = FF
-// FF - 7F = 80 (true); 80 + FFFF = 1007F (register-biased)
-// Now  set p8 if the answer with WRE is greater than or equal this value
-// Also set p9 if the answer with WRE is less than or equal to negative this value
-
-{ .mlx
-       nop.m 999
-(p0)   movl                r32          = 0x000000000001007f ;;                     
+      nop.m           0
+      nop.f           0
+(p6)  br.cond.spnt    COSH_CERTAIN_OVERFLOW // Branch if overflow
 }
+;;
 
-{ .mmf
-       nop.m 999
-(p0)   setf.exp            f41          = r32                                    
-(p0)   fsetc.s2            0x7F,0x40 ;;                                               
+{ .mfb
+      nop.m           0
+      fma.s.s0        f8 = fP, fT, fT
+      br.ret.sptk     b0                     // Exit if really no overflow
 }
+;;
 
-{ .mfi
-       nop.m 999
-(p0)   fcmp.ge.unc.s1      p8, p0       = f43, f41                               
-       nop.i 999
+// here if overflow
+COSH_CERTAIN_OVERFLOW:
+{ .mmi
+      addl            r17ones_m1 = 0x1FFFE, r0
+;;
+      setf.exp        fTmp = r17ones_m1
+      nop.i           0
 }
+;;
 
 { .mfi
-       nop.m 999
-(p0)   fmerge.ns           f42 = f41, f41                                        
-       nop.i 999 ;;
-}
-
-// The error tag for overflow is 65
-{ .mii
-       nop.m 999
-       nop.i 999 ;;
-(p8)   mov                 GR_Parameter_TAG = 65 ;;                                              
+      alloc           r32 = ar.pfs, 0, 3, 4, 0 // get some registers
+      fmerge.s        FR_X = f8,f8
+      nop.i           0
 }
-
 { .mfb
-       nop.m 999
-(p0)   fcmp.le.unc.s1      p9, p0 =  f43, f42                                    
-(p8)   br.cond.spnt __libm_error_region ;;
-}
-
-{ .mii
-       nop.m 999
-       nop.i 999 ;;
-(p9)   mov                 GR_Parameter_TAG = 64                                              
-}
-
-{ .mib
-       nop.m 999
-       nop.i 999
-(p9)   br.cond.spnt __libm_error_region ;;
+      mov             GR_Parameter_TAG = 65
+      fma.s.s0        FR_RESULT = fTmp, fTmp, f0 // Set I,O and +INF result
+      br.cond.sptk    __libm_error_region
 }
+;;
 
+// Here if x unorm
+COSH_UNORM:
 { .mfb
-       nop.m 999
-(p0)   fmerge.s            f8 = f44,f44                                          
-(p0)   br.ret.sptk b0 ;; 
+      getf.exp        rSignexp_x = fNormX    // Must recompute if x unorm
+      fcmp.eq.s0      p6, p0 = f8, f0        // Set D flag
+      br.cond.sptk    COSH_COMMON            // Return to main path
 }
+;;
 
+GLOBAL_IEEE754_END(coshf)
 
-L(COSH_HUGE): 
-
-// for COSH_HUGE, put 24000 in exponent; take sign from input; add 1
-// SAFE: SAFE is always 0 for HUGE
-
-{ .mlx
-       nop.m 999
-(p0)   movl                r32 = 0x0000000000015dbf ;;                               
-}
-
-{ .mfi
-(p0)   setf.exp            f9  = r32                                              
-       nop.f 999
-       nop.i 999 ;;
-}
-
-{ .mfi
-       nop.m 999
-(p0)   fma.s1              coshf_FR_hi_lo = f1, f9, f1                            
-       nop.i 999 ;;
-}
-
-{ .mfi
-       nop.m 999
-(p0)   fma.s.s0            f44 = f9, coshf_FR_hi_lo, f0                           
-(p0)   mov                 GR_Parameter_TAG = 65                                               
-}
-.endp coshf
-ASM_SIZE_DIRECTIVE(coshf)
-
-
-.proc __libm_error_region
-__libm_error_region:
+LOCAL_LIBM_ENTRY(__libm_error_region)
 .prologue
 { .mfi
-        add   GR_Parameter_Y=-32,sp             // Parameter 2 value
-        nop.f 0
+      add   GR_Parameter_Y=-32,sp             // Parameter 2 value
+      nop.f 0
 .save   ar.pfs,GR_SAVE_PFS
-        mov  GR_SAVE_PFS=ar.pfs                 // Save ar.pfs 
+      mov  GR_SAVE_PFS=ar.pfs                 // Save ar.pfs
 }
 { .mfi
-.fframe 64 
-        add sp=-64,sp                           // Create new stack
-        nop.f 0
-        mov GR_SAVE_GP=gp                       // Save gp
+.fframe 64
+      add sp=-64,sp                           // Create new stack
+      nop.f 0
+      mov GR_SAVE_GP=gp                       // Save gp
 };;
 { .mmi
-        stfs [GR_Parameter_Y] = FR_Y,16         // Save Parameter 2 on stack
-        add GR_Parameter_X = 16,sp              // Parameter 1 address
-.save   b0, GR_SAVE_B0                      
-        mov GR_SAVE_B0=b0                       // Save b0 
+      stfs [GR_Parameter_Y] = FR_Y,16         // Store Parameter 2 on stack
+      add GR_Parameter_X = 16,sp              // Parameter 1 address
+.save   b0, GR_SAVE_B0
+      mov GR_SAVE_B0=b0                       // Save b0
 };;
 .body
-{ .mib
-        stfs [GR_Parameter_X] = FR_X            // Store Parameter 1 on stack 
-        add   GR_Parameter_RESULT = 0,GR_Parameter_Y  
-	nop.b 0                                 // Parameter 3 address
+{ .mfi
+      stfs [GR_Parameter_X] = FR_X            // Store Parameter 1 on stack
+      nop.f 0
+      add   GR_Parameter_RESULT = 0,GR_Parameter_Y // Parameter 3 address
 }
 { .mib
-        stfs [GR_Parameter_Y] = FR_RESULT      // Store Parameter 3 on stack
-        add   GR_Parameter_Y = -16,GR_Parameter_Y  
-        br.call.sptk.many b0=__libm_error_support#  // Call error handling function
+      stfs [GR_Parameter_Y] = FR_RESULT       // Store Parameter 3 on stack
+      add   GR_Parameter_Y = -16,GR_Parameter_Y
+      br.call.sptk b0=__libm_error_support#   // Call error handling function
 };;
+
 { .mmi
-        nop.m 0
-        nop.m 0
-        add   GR_Parameter_RESULT = 48,sp
+      add   GR_Parameter_RESULT = 48,sp
+      nop.m 0
+      nop.i 0
 };;
+
 { .mmi
-        ldfs  f8 = [GR_Parameter_RESULT]       // Get return result off stack
+      ldfs  f8 = [GR_Parameter_RESULT]       // Get return result off stack
 .restore sp
-        add   sp = 64,sp                       // Restore stack pointer
-        mov   b0 = GR_SAVE_B0                  // Restore return address
+      add   sp = 64,sp                       // Restore stack pointer
+      mov   b0 = GR_SAVE_B0                  // Restore return address
 };;
 { .mib
-        mov   gp = GR_SAVE_GP                  // Restore gp 
-        mov   ar.pfs = GR_SAVE_PFS             // Restore ar.pfs
-        br.ret.sptk     b0                     // Return
-};; 
+      mov   gp = GR_SAVE_GP                  // Restore gp
+      mov   ar.pfs = GR_SAVE_PFS             // Restore ar.pfs
+      br.ret.sptk     b0                     // Return
+};;
+
+LOCAL_LIBM_END(__libm_error_region)
 
-.endp __libm_error_region
-ASM_SIZE_DIRECTIVE(__libm_error_region)
 
 .type   __libm_error_support#,@function
 .global __libm_error_support#
diff --git a/sysdeps/ia64/fpu/e_coshl.S b/sysdeps/ia64/fpu/e_coshl.S
index daac20d9a3..cef8be0b1a 100644
--- a/sysdeps/ia64/fpu/e_coshl.S
+++ b/sysdeps/ia64/fpu/e_coshl.S
@@ -1,10 +1,10 @@
 .file "coshl.s"
 
-// Copyright (C) 2000, 2001, Intel Corporation
+
+// Copyright (c) 2000 - 2002, Intel Corporation
 // All rights reserved.
-// 
-// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story,
-// and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
 //
 // Redistribution and use in source and binary forms, with or without
 // modification, are permitted provided that the following conditions are
@@ -20,7 +20,7 @@
 // * The name of Intel Corporation may not be used to endorse or promote
 // products derived from this software without specific prior written
 // permission.
-//
+
 // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
 // "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
@@ -35,1129 +35,1060 @@
 // 
 // Intel Corporation is the author of this code, and requests that all
 // problem reports or change requests be submitted to it directly at 
-// http://developer.intel.com/opensource.
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
 //
 // History
 //==============================================================
-// 2/02/00  Initial version 
-// 4/04/00  Unwind support added
-// 8/15/00  Bundle added after call to __libm_error_support to properly
+// 02/02/00 Initial version 
+// 04/04/00 Unwind support added
+// 08/15/00 Bundle added after call to __libm_error_support to properly
 //          set [the previously overwritten] GR_Parameter_RESULT.
-// 1/23/01  Set inexact flag for large args.
+// 01/23/01 Set inexact flag for large args.
+// 05/07/01 Reworked to improve speed of all paths
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 12/06/02 Improved performance
 //
 // API
 //==============================================================
-// float       = cosh(float)
-// double      = cosh(double)
 // long double = coshl(long double)
 // input  floating point f8
 // output floating point f8
-
-
+//
+// Registers used
+//==============================================================
+// general registers: 
+// r14 -> r40
+// predicate registers used:
+// p6 -> p11
+// floating-point registers used:
+// f9 -> f15; f32 -> f90; 
+// f8 has input, then output
+//
 // Overview of operation
 //==============================================================
-// There are four paths
-
-// 1. |x| < 0.25        COSH_BY_POLY
-// 2. |x| < 32          COSH_BY_TBL
-// 3. |x| < 2^14        COSH_BY_EXP
-// 4. |x| >= 2^14       COSH_HUGE
-
-// For paths 1, and 2 SAFE is always 1.
-// For path  4, Safe is always 0.
-// SAFE = 1 means we cannot overflow.
-
-#include "libm_support.h"
-
+// There are seven paths
+// 1. 0 < |x| < 0.25          COSH_BY_POLY
+// 2. 0.25 <=|x| < 32         COSH_BY_TBL
+// 3. 32 <= |x| < 11357.21655 COSH_BY_EXP (merged path with COSH_BY_TBL)
+// 4. |x| >= 11357.21655      COSH_HUGE
+// 5. x=0                     Done with early exit
+// 6. x=inf,nan               Done with early exit
+// 7. x=denormal              COSH_DENORM
+//
+// For double extended we get overflow for x >= 400c b174 ddc0 31ae c0ea
+//                                           >= 11357.21655
+//
+//
+// 1. COSH_BY_POLY   0 < |x| < 0.25
+// ===============
+// Evaluate cosh(x) by a 12th order polynomial
+// Care is take for the order of multiplication; and P2 is not exactly 1/4!, 
+// P3 is not exactly 1/6!, etc.
+// cosh(x) = 1 + (P1*x^2 + P2*x^4 + P3*x^6 + P4*x^8 + P5*x^10 + P6*x^12)
+//
+// 2. COSH_BY_TBL   0.25 <= |x| < 32.0
+// =============
+// cosh(x) = cosh(B+R)
+//         = cosh(B)cosh(R) + sinh(B)sinh(R)
+// 
+// ax = |x| = M*log2/64 + R
+// B = M*log2/64
+// M = 64*N + j 
+//   We will calculate M and get N as (M-j)/64
+//   The division is a shift.
+// exp(B)  = exp(N*log2 + j*log2/64)
+//         = 2^N * 2^(j*log2/64)
+// cosh(B) = 1/2(e^B + e^-B)
+//         = 1/2(2^N * 2^(j*log2/64) + 2^-N * 2^(-j*log2/64)) 
+// cosh(B) = (2^(N-1) * 2^(j*log2/64) + 2^(-N-1) * 2^(-j*log2/64)) 
+// sinh(B) = (2^(N-1) * 2^(j*log2/64) - 2^(-N-1) * 2^(-j*log2/64)) 
+// 2^(j*log2/64) is stored as Tjhi + Tjlo , j= -32,....,32
+// Tjhi is double-extended (80-bit) and Tjlo is single(32-bit)
+//
+// R = ax - M*log2/64
+// R = ax - M*log2_by_64_hi - M*log2_by_64_lo
+// exp(R) = 1 + R +R^2(1/2! + R(1/3! + R(1/4! + ... + R(1/n!)...)
+//        = 1 + p_odd + p_even
+//        where the p_even uses the A coefficients and the p_even uses 
+//        the B coefficients
+//
+// So sinh(R) = 1 + p_odd + p_even -(1 -p_odd -p_even)/2 = p_odd
+//    cosh(R) = 1 + p_even
+//    cosh(B) = C_hi + C_lo
+//    sinh(B) = S_hi
+// cosh(x) = cosh(B)cosh(R) + sinh(B)sinh(R)
+//
+// 3. COSH_BY_EXP   32.0 <= |x| < 11357.21655  ( 400c b174 ddc0 31ae c0ea )
+// ==============
+// Can approximate result by exp(x)/2 in this region.
+// Y_hi = Tjhi
+// Y_lo = Tjhi * (p_odd + p_even) + Tjlo
+// cosh(x) = Y_hi + Y_lo
+//
+// 4. COSH_HUGE     |x| >= 11357.21655  ( 400c b174 ddc0 31ae c0ea )
+// ============
+// Set error tag and call error support
+//
+//
 // Assembly macros
 //==============================================================
-cosh_FR_X            = f44
-FR_RESULT            = f44
-cosh_FR_SGNX         = f40
-cosh_FR_all_ones     = f45
-
-FR_X                 = f8
-FR_Y                 = f0
-cosh_FR_Inv_log2by64 = f9
-cosh_FR_log2by64_lo  = f11
-cosh_FR_log2by64_hi  = f10
-
-cosh_FR_A1           = f9
-cosh_FR_A2           = f10
-cosh_FR_A3           = f11
-
-cosh_FR_Rcub         = f12
-cosh_FR_M_temp       = f13
-cosh_FR_R_temp       = f13
-cosh_FR_Rsq          = f13
-cosh_FR_R            = f14
-
-cosh_FR_M            = f38
-
-cosh_FR_tmp          = f15
-cosh_FR_B1           = f15
-cosh_FR_B2           = f32
-cosh_FR_B3           = f33
-
-cosh_FR_peven_temp1  = f34
-cosh_FR_peven_temp2  = f35
-cosh_FR_peven        = f36
-
-cosh_FR_podd_temp1   = f34
-cosh_FR_podd_temp2   = f35
-cosh_FR_podd         = f37
-
-cosh_FR_J_temp       = f9
-cosh_FR_J            = f10
-
-cosh_FR_Mmj          = f39
-
-cosh_FR_N_temp1      = f11
-cosh_FR_N_temp2      = f12
-cosh_FR_N            = f13
-
-cosh_FR_spos         = f14
-cosh_FR_sneg         = f15
-
-cosh_FR_Tjhi         = f32
-cosh_FR_Tjlo         = f33
-cosh_FR_Tmjhi        = f34
-cosh_FR_Tmjlo        = f35
-
-GR_mJ           = r35
-GR_J            = r36
-
-AD_mJ           = r38
-AD_J            = r39
-
-cosh_GR_all_ones     = r40
-
-GR_SAVE_PFS           = r41
-GR_SAVE_B0            = r42
-GR_SAVE_GP            = r43
-GR_Parameter_X        = r44
-GR_Parameter_Y        = r45
-GR_Parameter_RESULT   = r46
-GR_Parameter_TAG      = r47 
+r_ad5                 = r14
+r_rshf_2to57          = r15
+r_exp_denorm          = r15
+r_ad_mJ_lo            = r15
+r_ad_J_lo             = r16
+r_2Nm1                = r17
+r_2mNm1               = r18
+r_exp_x               = r18
+r_ad_J_hi             = r19
+r_ad2o                = r19
+r_ad_mJ_hi            = r20
+r_mj                  = r21
+r_ad2e                = r22
+r_ad3                 = r23
+r_ad1                 = r24
+r_Mmj                 = r24
+r_rshf                = r25
+r_M                   = r25
+r_N                   = r25
+r_jshf                = r26
+r_exp_2tom57          = r26
+r_j                   = r26
+r_exp_mask            = r27
+r_signexp_x           = r28
+r_signexp_0_5         = r28
+r_exp_0_25            = r29
+r_sig_inv_ln2         = r30
+r_exp_32              = r30
+r_exp_huge            = r30
+r_ad4                 = r31
+
+GR_SAVE_PFS           = r34
+GR_SAVE_B0            = r35
+GR_SAVE_GP            = r36
+
+GR_Parameter_X        = r37
+GR_Parameter_Y        = r38
+GR_Parameter_RESULT   = r39
+GR_Parameter_TAG      = r40
+
+
+f_ABS_X               = f9 
+f_X2                  = f10
+f_X4                  = f11
+f_tmp                 = f14
+f_RSHF                = f15
+
+f_Inv_log2by64        = f32
+f_log2by64_lo         = f33
+f_log2by64_hi         = f34
+f_A1                  = f35
+
+f_A2                  = f36
+f_A3                  = f37
+f_Rcub                = f38
+f_M_temp              = f39
+f_R_temp              = f40
+
+f_Rsq                 = f41
+f_R                   = f42
+f_M                   = f43
+f_B1                  = f44
+f_B2                  = f45
+
+f_B3                  = f46
+f_peven_temp1         = f47
+f_peven_temp2         = f48
+f_peven               = f49
+f_podd_temp1          = f50
+
+f_podd_temp2          = f51
+f_podd                = f52
+f_poly65              = f53
+f_poly6543            = f53
+f_poly6to1            = f53
+f_poly43              = f54
+f_poly21              = f55
+
+f_X3                  = f56
+f_INV_LN2_2TO63       = f57
+f_RSHF_2TO57          = f58
+f_2TOM57              = f59
+f_smlst_oflow_input   = f60
+
+f_pre_result          = f61
+f_huge                = f62
+f_spos                = f63
+f_sneg                = f64
+f_Tjhi                = f65
+
+f_Tjlo                = f66
+f_Tmjhi               = f67
+f_Tmjlo               = f68
+f_S_hi                = f69
+f_SC_hi_temp          = f70
+
+f_C_lo_temp1          = f71 
+f_C_lo_temp2          = f72 
+f_C_lo_temp3          = f73 
+f_C_lo_temp4          = f73 
+f_C_lo                = f74
+f_C_hi                = f75
+
+f_Y_hi                = f77 
+f_Y_lo_temp           = f78 
+f_Y_lo                = f79 
+f_NORM_X              = f80
+
+f_P1                  = f81
+f_P2                  = f82
+f_P3                  = f83
+f_P4                  = f84
+f_P5                  = f85
+
+f_P6                  = f86
+f_Tjhi_spos           = f87
+f_Tjlo_spos           = f88
+f_huge                = f89
+f_signed_hi_lo        = f90
 
-cosh_FR_C_hi         = f9
-cosh_FR_C_hi_temp    = f10
-cosh_FR_C_lo_temp1   = f11 
-cosh_FR_C_lo_temp2   = f12 
-cosh_FR_C_lo_temp3   = f13 
-
-cosh_FR_C_lo         = f38
-cosh_FR_S_hi         = f39
-
-cosh_FR_S_hi_temp1   = f10
-cosh_FR_Y_hi         = f11 
-cosh_FR_Y_lo_temp    = f12 
-cosh_FR_Y_lo         = f13 
-cosh_FR_COSH         = f9
-
-cosh_FR_X2           = f9
-cosh_FR_X4           = f10
-
-cosh_FR_P1           = f14
-cosh_FR_P2           = f15
-cosh_FR_P3           = f32
-cosh_FR_P4           = f33
-cosh_FR_P5           = f34
-cosh_FR_P6           = f35
-
-cosh_FR_TINY_THRESH  = f9
-
-cosh_FR_COSH_temp    = f10
-cosh_FR_SCALE        = f11 
-
-cosh_FR_hi_lo = f10
-
-cosh_FR_poly_podd_temp1    =  f11 
-cosh_FR_poly_podd_temp2    =  f13
-cosh_FR_poly_peven_temp1   =  f11
-cosh_FR_poly_peven_temp2   =  f13
 
 // Data tables
 //==============================================================
 
-#ifdef _LIBC
-.rodata
-#else
-.data
-#endif
+// DO NOT CHANGE ORDER OF THESE TABLES
+RODATA
 
 .align 16
-double_cosh_arg_reduction:
-ASM_TYPE_DIRECTIVE(double_cosh_arg_reduction,@object)
-   data8 0xB8AA3B295C17F0BC, 0x00004005
-   data8 0xB17217F7D1000000, 0x00003FF8
-   data8 0xCF79ABC9E3B39804, 0x00003FD0
-ASM_SIZE_DIRECTIVE(double_cosh_arg_reduction)
-
-double_cosh_p_table:
-ASM_TYPE_DIRECTIVE(double_cosh_p_table,@object)
-   data8 0x8000000000000000, 0x00003FFE
-   data8 0xAAAAAAAAAAAAAB80, 0x00003FFA
-   data8 0xB60B60B60B4FE884, 0x00003FF5
-   data8 0xD00D00D1021D7370, 0x00003FEF
-   data8 0x93F27740C0C2F1CC, 0x00003FE9
-   data8 0x8FA02AC65BCBD5BC, 0x00003FE2
-ASM_SIZE_DIRECTIVE(double_cosh_p_table)
-
-double_cosh_ab_table:
-ASM_TYPE_DIRECTIVE(double_cosh_ab_table,@object)
-   data8 0xAAAAAAAAAAAAAAAC, 0x00003FFC
-   data8 0x88888888884ECDD5, 0x00003FF8
-   data8 0xD00D0C6DCC26A86B, 0x00003FF2
-   data8 0x8000000000000002, 0x00003FFE
-   data8 0xAAAAAAAAAA402C77, 0x00003FFA
-   data8 0xB60B6CC96BDB144D, 0x00003FF5
-ASM_SIZE_DIRECTIVE(double_cosh_ab_table)
-
-double_cosh_j_table:
-ASM_TYPE_DIRECTIVE(double_cosh_j_table,@object)
-   data8 0xB504F333F9DE6484, 0x00003FFE, 0x1EB2FB13, 0x00000000
-   data8 0xB6FD91E328D17791, 0x00003FFE, 0x1CE2CBE2, 0x00000000
-   data8 0xB8FBAF4762FB9EE9, 0x00003FFE, 0x1DDC3CBC, 0x00000000
-   data8 0xBAFF5AB2133E45FB, 0x00003FFE, 0x1EE9AA34, 0x00000000
-   data8 0xBD08A39F580C36BF, 0x00003FFE, 0x9EAEFDC1, 0x00000000
-   data8 0xBF1799B67A731083, 0x00003FFE, 0x9DBF517B, 0x00000000
-   data8 0xC12C4CCA66709456, 0x00003FFE, 0x1EF88AFB, 0x00000000
-   data8 0xC346CCDA24976407, 0x00003FFE, 0x1E03B216, 0x00000000
-   data8 0xC5672A115506DADD, 0x00003FFE, 0x1E78AB43, 0x00000000
-   data8 0xC78D74C8ABB9B15D, 0x00003FFE, 0x9E7B1747, 0x00000000
-   data8 0xC9B9BD866E2F27A3, 0x00003FFE, 0x9EFE3C0E, 0x00000000
-   data8 0xCBEC14FEF2727C5D, 0x00003FFE, 0x9D36F837, 0x00000000
-   data8 0xCE248C151F8480E4, 0x00003FFE, 0x9DEE53E4, 0x00000000
-   data8 0xD06333DAEF2B2595, 0x00003FFE, 0x9E24AE8E, 0x00000000
-   data8 0xD2A81D91F12AE45A, 0x00003FFE, 0x1D912473, 0x00000000
-   data8 0xD4F35AABCFEDFA1F, 0x00003FFE, 0x1EB243BE, 0x00000000
-   data8 0xD744FCCAD69D6AF4, 0x00003FFE, 0x1E669A2F, 0x00000000
-   data8 0xD99D15C278AFD7B6, 0x00003FFE, 0x9BBC610A, 0x00000000
-   data8 0xDBFBB797DAF23755, 0x00003FFE, 0x1E761035, 0x00000000
-   data8 0xDE60F4825E0E9124, 0x00003FFE, 0x9E0BE175, 0x00000000
-   data8 0xE0CCDEEC2A94E111, 0x00003FFE, 0x1CCB12A1, 0x00000000
-   data8 0xE33F8972BE8A5A51, 0x00003FFE, 0x1D1BFE90, 0x00000000
-   data8 0xE5B906E77C8348A8, 0x00003FFE, 0x1DF2F47A, 0x00000000
-   data8 0xE8396A503C4BDC68, 0x00003FFE, 0x1EF22F22, 0x00000000
-   data8 0xEAC0C6E7DD24392F, 0x00003FFE, 0x9E3F4A29, 0x00000000
-   data8 0xED4F301ED9942B84, 0x00003FFE, 0x1EC01A5B, 0x00000000
-   data8 0xEFE4B99BDCDAF5CB, 0x00003FFE, 0x1E8CAC3A, 0x00000000
-   data8 0xF281773C59FFB13A, 0x00003FFE, 0x9DBB3FAB, 0x00000000
-   data8 0xF5257D152486CC2C, 0x00003FFE, 0x1EF73A19, 0x00000000
-   data8 0xF7D0DF730AD13BB9, 0x00003FFE, 0x9BB795B5, 0x00000000
-   data8 0xFA83B2DB722A033A, 0x00003FFE, 0x1EF84B76, 0x00000000
-   data8 0xFD3E0C0CF486C175, 0x00003FFE, 0x9EF5818B, 0x00000000
-   data8 0x8000000000000000, 0x00003FFF, 0x00000000, 0x00000000
-   data8 0x8164D1F3BC030773, 0x00003FFF, 0x1F77CACA, 0x00000000
-   data8 0x82CD8698AC2BA1D7, 0x00003FFF, 0x1EF8A91D, 0x00000000
-   data8 0x843A28C3ACDE4046, 0x00003FFF, 0x1E57C976, 0x00000000
-   data8 0x85AAC367CC487B15, 0x00003FFF, 0x9EE8DA92, 0x00000000
-   data8 0x871F61969E8D1010, 0x00003FFF, 0x1EE85C9F, 0x00000000
-   data8 0x88980E8092DA8527, 0x00003FFF, 0x1F3BF1AF, 0x00000000
-   data8 0x8A14D575496EFD9A, 0x00003FFF, 0x1D80CA1E, 0x00000000
-   data8 0x8B95C1E3EA8BD6E7, 0x00003FFF, 0x9D0373AF, 0x00000000
-   data8 0x8D1ADF5B7E5BA9E6, 0x00003FFF, 0x9F167097, 0x00000000
-   data8 0x8EA4398B45CD53C0, 0x00003FFF, 0x1EB70051, 0x00000000
-   data8 0x9031DC431466B1DC, 0x00003FFF, 0x1F6EB029, 0x00000000
-   data8 0x91C3D373AB11C336, 0x00003FFF, 0x1DFD6D8E, 0x00000000
-   data8 0x935A2B2F13E6E92C, 0x00003FFF, 0x9EB319B0, 0x00000000
-   data8 0x94F4EFA8FEF70961, 0x00003FFF, 0x1EBA2BEB, 0x00000000
-   data8 0x96942D3720185A00, 0x00003FFF, 0x1F11D537, 0x00000000
-   data8 0x9837F0518DB8A96F, 0x00003FFF, 0x1F0D5A46, 0x00000000
-   data8 0x99E0459320B7FA65, 0x00003FFF, 0x9E5E7BCA, 0x00000000
-   data8 0x9B8D39B9D54E5539, 0x00003FFF, 0x9F3AAFD1, 0x00000000
-   data8 0x9D3ED9A72CFFB751, 0x00003FFF, 0x9E86DACC, 0x00000000
-   data8 0x9EF5326091A111AE, 0x00003FFF, 0x9F3EDDC2, 0x00000000
-   data8 0xA0B0510FB9714FC2, 0x00003FFF, 0x1E496E3D, 0x00000000
-   data8 0xA27043030C496819, 0x00003FFF, 0x9F490BF6, 0x00000000
-   data8 0xA43515AE09E6809E, 0x00003FFF, 0x1DD1DB48, 0x00000000
-   data8 0xA5FED6A9B15138EA, 0x00003FFF, 0x1E65EBFB, 0x00000000
-   data8 0xA7CD93B4E965356A, 0x00003FFF, 0x9F427496, 0x00000000
-   data8 0xA9A15AB4EA7C0EF8, 0x00003FFF, 0x1F283C4A, 0x00000000
-   data8 0xAB7A39B5A93ED337, 0x00003FFF, 0x1F4B0047, 0x00000000
-   data8 0xAD583EEA42A14AC6, 0x00003FFF, 0x1F130152, 0x00000000
-   data8 0xAF3B78AD690A4375, 0x00003FFF, 0x9E8367C0, 0x00000000
-   data8 0xB123F581D2AC2590, 0x00003FFF, 0x9F705F90, 0x00000000
-   data8 0xB311C412A9112489, 0x00003FFF, 0x1EFB3C53, 0x00000000
-   data8 0xB504F333F9DE6484, 0x00003FFF, 0x1F32FB13, 0x00000000
-ASM_SIZE_DIRECTIVE(double_cosh_j_table)
-
-.align 32
-.global coshl#
-
-.section .text
-.proc  coshl#
-.align 32
-
-coshl:
-
-#ifdef _LIBC
-.global __ieee754_coshl#
-.proc __ieee754_coshl#
-__ieee754_coshl:
-#endif
-
-// X NAN?
-
-{ .mfi
-      alloc r32 = ar.pfs,0,12,4,0                  
-(p0)  fclass.m.unc  p6,p7 = f8, 0xc3               
-      mov cosh_GR_all_ones = -1
-};;
-
-//   This is more than we need but it is in preparation
-//   for the values we add for error support. We push three
-//   addresses on the stack (3*8) = 24 bytes and one tag
-
-{ .mfb
-      nop.m 999
-(p6)     fma.s0   f8 = f8,f1,f8                  
-(p6)  br.ret.spnt     b0 ;;                          
-}
-
-
-// Make constant that will generate inexact when squared
-// X infinity 
-{ .mfi
-      setf.sig cosh_FR_all_ones = cosh_GR_all_ones 
-(p0)  fclass.m.unc  p6,p0 = f8, 0x23               
-      nop.i 999 ;;
-}
-
-{ .mfb
-      nop.m 999
-(p6)     fmerge.s      f8 = f0,f8                  
-(p6)  br.ret.spnt     b0 ;;
-}
+LOCAL_OBJECT_START(cosh_arg_reduction)
+//   data8 0xB8AA3B295C17F0BC, 0x00004005  // 64/log2 -- signif loaded with setf
+   data8 0xB17217F7D1000000, 0x00003FF8  // log2/64 high part
+   data8 0xCF79ABC9E3B39804, 0x00003FD0  // log2/64 low part
+   data8 0xb174ddc031aec0ea, 0x0000400c  // Smallest x to overflow (11357.21655)
+LOCAL_OBJECT_END(cosh_arg_reduction)
+
+LOCAL_OBJECT_START(cosh_p_table)
+   data8 0x8FA02AC65BCBD5BC, 0x00003FE2  // P6
+   data8 0xD00D00D1021D7370, 0x00003FEF  // P4
+   data8 0xAAAAAAAAAAAAAB80, 0x00003FFA  // P2
+   data8 0x93F27740C0C2F1CC, 0x00003FE9  // P5
+   data8 0xB60B60B60B4FE884, 0x00003FF5  // P3
+   data8 0x8000000000000000, 0x00003FFE  // P1
+LOCAL_OBJECT_END(cosh_p_table)
+
+LOCAL_OBJECT_START(cosh_ab_table)
+   data8 0xAAAAAAAAAAAAAAAC, 0x00003FFC  // A1
+   data8 0x88888888884ECDD5, 0x00003FF8  // A2
+   data8 0xD00D0C6DCC26A86B, 0x00003FF2  // A3
+   data8 0x8000000000000002, 0x00003FFE  // B1
+   data8 0xAAAAAAAAAA402C77, 0x00003FFA  // B2
+   data8 0xB60B6CC96BDB144D, 0x00003FF5  // B3
+LOCAL_OBJECT_END(cosh_ab_table)
+
+LOCAL_OBJECT_START(cosh_j_hi_table)
+   data8 0xB504F333F9DE6484, 0x00003FFE
+   data8 0xB6FD91E328D17791, 0x00003FFE
+   data8 0xB8FBAF4762FB9EE9, 0x00003FFE
+   data8 0xBAFF5AB2133E45FB, 0x00003FFE
+   data8 0xBD08A39F580C36BF, 0x00003FFE
+   data8 0xBF1799B67A731083, 0x00003FFE
+   data8 0xC12C4CCA66709456, 0x00003FFE
+   data8 0xC346CCDA24976407, 0x00003FFE
+   data8 0xC5672A115506DADD, 0x00003FFE
+   data8 0xC78D74C8ABB9B15D, 0x00003FFE
+   data8 0xC9B9BD866E2F27A3, 0x00003FFE
+   data8 0xCBEC14FEF2727C5D, 0x00003FFE
+   data8 0xCE248C151F8480E4, 0x00003FFE
+   data8 0xD06333DAEF2B2595, 0x00003FFE
+   data8 0xD2A81D91F12AE45A, 0x00003FFE
+   data8 0xD4F35AABCFEDFA1F, 0x00003FFE
+   data8 0xD744FCCAD69D6AF4, 0x00003FFE
+   data8 0xD99D15C278AFD7B6, 0x00003FFE
+   data8 0xDBFBB797DAF23755, 0x00003FFE
+   data8 0xDE60F4825E0E9124, 0x00003FFE
+   data8 0xE0CCDEEC2A94E111, 0x00003FFE
+   data8 0xE33F8972BE8A5A51, 0x00003FFE
+   data8 0xE5B906E77C8348A8, 0x00003FFE
+   data8 0xE8396A503C4BDC68, 0x00003FFE
+   data8 0xEAC0C6E7DD24392F, 0x00003FFE
+   data8 0xED4F301ED9942B84, 0x00003FFE
+   data8 0xEFE4B99BDCDAF5CB, 0x00003FFE
+   data8 0xF281773C59FFB13A, 0x00003FFE
+   data8 0xF5257D152486CC2C, 0x00003FFE
+   data8 0xF7D0DF730AD13BB9, 0x00003FFE
+   data8 0xFA83B2DB722A033A, 0x00003FFE
+   data8 0xFD3E0C0CF486C175, 0x00003FFE
+   data8 0x8000000000000000, 0x00003FFF // Center of table
+   data8 0x8164D1F3BC030773, 0x00003FFF
+   data8 0x82CD8698AC2BA1D7, 0x00003FFF
+   data8 0x843A28C3ACDE4046, 0x00003FFF
+   data8 0x85AAC367CC487B15, 0x00003FFF
+   data8 0x871F61969E8D1010, 0x00003FFF
+   data8 0x88980E8092DA8527, 0x00003FFF
+   data8 0x8A14D575496EFD9A, 0x00003FFF
+   data8 0x8B95C1E3EA8BD6E7, 0x00003FFF
+   data8 0x8D1ADF5B7E5BA9E6, 0x00003FFF
+   data8 0x8EA4398B45CD53C0, 0x00003FFF
+   data8 0x9031DC431466B1DC, 0x00003FFF
+   data8 0x91C3D373AB11C336, 0x00003FFF
+   data8 0x935A2B2F13E6E92C, 0x00003FFF
+   data8 0x94F4EFA8FEF70961, 0x00003FFF
+   data8 0x96942D3720185A00, 0x00003FFF
+   data8 0x9837F0518DB8A96F, 0x00003FFF
+   data8 0x99E0459320B7FA65, 0x00003FFF
+   data8 0x9B8D39B9D54E5539, 0x00003FFF
+   data8 0x9D3ED9A72CFFB751, 0x00003FFF
+   data8 0x9EF5326091A111AE, 0x00003FFF
+   data8 0xA0B0510FB9714FC2, 0x00003FFF
+   data8 0xA27043030C496819, 0x00003FFF
+   data8 0xA43515AE09E6809E, 0x00003FFF
+   data8 0xA5FED6A9B15138EA, 0x00003FFF
+   data8 0xA7CD93B4E965356A, 0x00003FFF
+   data8 0xA9A15AB4EA7C0EF8, 0x00003FFF
+   data8 0xAB7A39B5A93ED337, 0x00003FFF
+   data8 0xAD583EEA42A14AC6, 0x00003FFF
+   data8 0xAF3B78AD690A4375, 0x00003FFF
+   data8 0xB123F581D2AC2590, 0x00003FFF
+   data8 0xB311C412A9112489, 0x00003FFF
+   data8 0xB504F333F9DE6484, 0x00003FFF
+LOCAL_OBJECT_END(cosh_j_hi_table)
+
+LOCAL_OBJECT_START(cosh_j_lo_table)
+   data4 0x1EB2FB13
+   data4 0x1CE2CBE2
+   data4 0x1DDC3CBC
+   data4 0x1EE9AA34
+   data4 0x9EAEFDC1
+   data4 0x9DBF517B
+   data4 0x1EF88AFB
+   data4 0x1E03B216
+   data4 0x1E78AB43
+   data4 0x9E7B1747
+   data4 0x9EFE3C0E
+   data4 0x9D36F837
+   data4 0x9DEE53E4
+   data4 0x9E24AE8E
+   data4 0x1D912473
+   data4 0x1EB243BE
+   data4 0x1E669A2F
+   data4 0x9BBC610A
+   data4 0x1E761035
+   data4 0x9E0BE175
+   data4 0x1CCB12A1
+   data4 0x1D1BFE90
+   data4 0x1DF2F47A
+   data4 0x1EF22F22
+   data4 0x9E3F4A29
+   data4 0x1EC01A5B
+   data4 0x1E8CAC3A
+   data4 0x9DBB3FAB
+   data4 0x1EF73A19
+   data4 0x9BB795B5
+   data4 0x1EF84B76
+   data4 0x9EF5818B
+   data4 0x00000000 // Center of table
+   data4 0x1F77CACA
+   data4 0x1EF8A91D
+   data4 0x1E57C976
+   data4 0x9EE8DA92
+   data4 0x1EE85C9F
+   data4 0x1F3BF1AF
+   data4 0x1D80CA1E
+   data4 0x9D0373AF
+   data4 0x9F167097
+   data4 0x1EB70051
+   data4 0x1F6EB029
+   data4 0x1DFD6D8E
+   data4 0x9EB319B0
+   data4 0x1EBA2BEB
+   data4 0x1F11D537
+   data4 0x1F0D5A46
+   data4 0x9E5E7BCA
+   data4 0x9F3AAFD1
+   data4 0x9E86DACC
+   data4 0x9F3EDDC2
+   data4 0x1E496E3D
+   data4 0x9F490BF6
+   data4 0x1DD1DB48
+   data4 0x1E65EBFB
+   data4 0x9F427496
+   data4 0x1F283C4A
+   data4 0x1F4B0047
+   data4 0x1F130152
+   data4 0x9E8367C0
+   data4 0x9F705F90
+   data4 0x1EFB3C53
+   data4 0x1F32FB13
+LOCAL_OBJECT_END(cosh_j_lo_table)
 
 
+.section .text
+GLOBAL_IEEE754_ENTRY(coshl)
 
-// Put 0.25 in f9; p6 true if x < 0.25
 { .mlx
-         nop.m 999
-(p0)     movl            r32 = 0x000000000000fffd ;;         
-}
-
-{ .mfi
-(p0)  setf.exp        f9 = r32                         
-      nop.f 999
-      nop.i 999 ;;
+      getf.exp        r_signexp_x = f8   // Get signexp of x, must redo if unorm
+      movl            r_sig_inv_ln2 = 0xb8aa3b295c17f0bc // significand of 1/ln2
 }
-
-{ .mfi
-      nop.m 999
-(p0)  fmerge.s      cosh_FR_X    = f0,f8                
-      nop.i 999
+{ .mlx
+      addl            r_ad1 = @ltoff(cosh_arg_reduction), gp
+      movl            r_rshf_2to57 = 0x4778000000000000 // 1.10000 2^(63+57)
 }
+;;
 
 { .mfi
-      nop.m 999
-(p0)  fmerge.s      cosh_FR_SGNX = f8,f1                
-      nop.i 999 ;;
+      ld8             r_ad1 = [r_ad1]
+      fmerge.s        f_ABS_X    = f0,f8
+      mov             r_exp_0_25 = 0x0fffd    // Form exponent for 0.25
 }
-
 { .mfi
-      nop.m 999
-(p0)  fcmp.lt.unc     p0,p7 = cosh_FR_X,f9                    
-      nop.i 999 ;;
-}
-
-{ .mib
-      nop.m 999
-      nop.i 999
-(p7)  br.cond.sptk    L(COSH_BY_TBL) 
+      nop.m           0
+      fnorm.s1        f_NORM_X = f8      
+      mov             r_exp_2tom57 = 0xffff-57
 }
 ;;
 
-
-// COSH_BY_POLY: 
-// POLY cannot overflow so there is no need to call __libm_error_support
-// Get the values of P_x from the table
-
-{ .mmi
-      nop.m 999
-(p0)  addl           r34   = @ltoff(double_cosh_p_table), gp
-      nop.i 999
+{ .mfi
+      setf.d          f_RSHF_2TO57 = r_rshf_2to57 // Form const 1.100 * 2^120
+      fclass.m        p10,p0 = f8, 0x0b           // Test for denorm
+      mov             r_exp_mask = 0x1ffff 
 }
-;;
-
-{ .mmi
-      ld8 r34 = [r34]
-      nop.m 999
-      nop.i 999
+{ .mlx
+      setf.sig        f_INV_LN2_2TO63 = r_sig_inv_ln2 // Form 1/ln2 * 2^63
+      movl            r_rshf = 0x43e8000000000000 // 1.1000 2^63 for right shift
 }
 ;;
 
-
-// Calculate cosh_FR_X2 = ax*ax and cosh_FR_X4 = ax*ax*ax*ax
-{ .mmf
-         nop.m 999
-(p0)     ldfe       cosh_FR_P1 = [r34],16                 
-(p0)     fma.s1     cosh_FR_X2 = cosh_FR_X, cosh_FR_X, f0 ;;           
-}
-
-{ .mmi
-(p0)     ldfe       cosh_FR_P2 = [r34],16 ;;                 
-(p0)     ldfe       cosh_FR_P3 = [r34],16                 
-         nop.i 999 ;;
-}
-
-{ .mmi
-(p0)     ldfe       cosh_FR_P4 = [r34],16 ;;                 
-(p0)     ldfe       cosh_FR_P5 = [r34],16                 
-         nop.i 999 ;;
-}
-
 { .mfi
-(p0)     ldfe       cosh_FR_P6 = [r34],16                 
-(p0)     fma.s1     cosh_FR_X4 = cosh_FR_X2, cosh_FR_X2, f0         
-         nop.i 999 ;;
+      nop.m           0
+      fclass.m        p7,p0 = f8, 0x07  // Test if x=0
+      nop.i           0
 }
-
-// Calculate cosh_FR_podd = x4 *(x4 * P_5 + P_3) + P_1
 { .mfi
-         nop.m 999
-(p0)     fma.s1     cosh_FR_poly_podd_temp1 = cosh_FR_X4, cosh_FR_P5, cosh_FR_P3                
-         nop.i 999 ;;
+      setf.exp        f_2TOM57 = r_exp_2tom57 // Form 2^-57 for scaling
+      nop.f           0
+      add             r_ad3 = 0x90, r_ad1  // Point to ab_table
 }
+;;
 
 { .mfi
-         nop.m 999
-(p0)     fma.s1     cosh_FR_podd            = cosh_FR_X4, cosh_FR_poly_podd_temp1, cosh_FR_P1   
-         nop.i 999
+      setf.d          f_RSHF = r_rshf     // Form right shift const 1.100 * 2^63
+      fclass.m        p6,p0 = f8, 0xe3     // Test if x nan, inf
+      add             r_ad4 = 0x2f0, r_ad1 // Point to j_hi_table midpoint
 }
-
-// Calculate cosh_FR_peven =  p_even = x4 *(x4 * (x4 * P_6 + P_4) + P_2)
-{ .mfi
-         nop.m 999
-(p0)     fma.s1     cosh_FR_poly_peven_temp1 = cosh_FR_X4, cosh_FR_P6, cosh_FR_P4               
-         nop.i 999 ;;
+{ .mib
+      add             r_ad2e = 0x20, r_ad1 // Point to p_table
+      nop.i           0
+(p10) br.cond.spnt    COSH_DENORM          // Branch if x denorm
 }
+;;
 
+// Common path -- return here from COSH_DENORM if x is unnorm
+COSH_COMMON:
 { .mfi
-         nop.m 999
-(p0)     fma.s1     cosh_FR_poly_peven_temp2 = cosh_FR_X4, cosh_FR_poly_peven_temp1, cosh_FR_P2 
-         nop.i 999 ;;
+      ldfe            f_smlst_oflow_input = [r_ad2e],16
+(p7)  fma.s0          f8 = f1, f1, f0      // Result = 1.0 if x=0
+      add             r_ad5 = 0x580, r_ad1 // Point to j_lo_table midpoint
 }
-
-{ .mfi
-         nop.m 999
-(p0)     fma.s1     cosh_FR_peven       = cosh_FR_X4, cosh_FR_poly_peven_temp2, f0         
-         nop.i 999 ;;
+{ .mib
+      ldfe            f_log2by64_hi  = [r_ad1],16       
+      and             r_exp_x = r_exp_mask, r_signexp_x
+(p7)  br.ret.spnt     b0                  // Exit if x=0
 }
+;;
 
-// Y_lo = x2*p_odd + p_even
-// Calculate f8 = Y_hi + Y_lo 
+// Get the A coefficients for COSH_BY_TBL
 { .mfi
-         nop.m 999
-(p0)     fma.s1     cosh_FR_Y_lo         = cosh_FR_X2, cosh_FR_podd,  cosh_FR_peven    
-         nop.i 999 ;;
+      ldfe            f_A1 = [r_ad3],16            
+      fcmp.lt.s1      p8,p9 = f8,f0           // Test for x<0
+      cmp.lt          p7,p0 = r_exp_x, r_exp_0_25  // Test x < 0.25
 }
-
 { .mfb
-         nop.m 999
-(p0)     fma.s0   f8                   = f1, f1, cosh_FR_Y_lo                        
-(p0)     br.ret.sptk     b0 ;;
-}
-
-
-L(COSH_BY_TBL): 
-
-// Now that we are at TBL; so far all we know is that |x| >= 0.25.
-// The first two steps are the same for TBL and EXP, but if we are HUGE
-// Double Extended
-// Go to HUGE if |x| >= 2^14, 1000d (register-biased) is e = 14 (true)
-// Double
-// Go to HUGE if |x| >= 2^10, 10009 (register-biased) is e = 10 (true)
-// Single
-// Go to HUGE if |x| >= 2^7,  10006 (register-biased) is e =  7 (true)
-// we want to leave now. Go to HUGE if |x| >= 2^14
-// 1000d (register-biased) is e = 14 (true)
-
-{ .mlx
-      nop.m 999
-(p0)     movl            r32 = 0x000000000001000d ;;              
-}
-
-{ .mfi
-(p0)     setf.exp        f9 = r32                              
-      nop.f 999
-      nop.i 999 ;;
+      add             r_ad2o = 0x30, r_ad2e  // Point to p_table odd coeffs
+(p6)  fma.s0          f8 = f8,f8,f0          // Result for x nan, inf          
+(p6)  br.ret.spnt     b0                     // Exit for x nan, inf
 }
+;;
 
+// Calculate X2 = ax*ax for COSH_BY_POLY
 { .mfi
-      nop.m 999
-(p0)     fcmp.ge.unc     p6,p7 = cosh_FR_X,f9                  
-      nop.i 999 ;;
+      ldfe            f_log2by64_lo  = [r_ad1],16       
+      nop.f           0
+      nop.i           0
 }
-
-{ .mib
-      nop.m 999
-      nop.i 999
-(p6)     br.cond.spnt    L(COSH_HUGE) ;;                             
+{ .mfb
+      ldfe            f_A2 = [r_ad3],16            
+      fma.s1          f_X2 = f_NORM_X, f_NORM_X, f0
+(p7)  br.cond.spnt    COSH_BY_POLY
 }
+;;
 
-// r32 = 1
-// r34 = N-1 
-// r35 = N
-// r36 = j
-// r37 = N+1
-
-// TBL can never overflow
-// cosh(x) = cosh(B+R)
-//         = cosh(B) cosh(R) + sinh(B) sinh(R) 
-// cosh(R) can be approximated by 1 + p_even
-// sinh(R) can be approximated by p_odd
-
+// Here if |x| >= 0.25
+COSH_BY_TBL: 
 // ******************************************************
-// STEP 1 (TBL and EXP)
+// STEP 1 (TBL and EXP) - Argument reduction
 // ******************************************************
-// Get the following constants.
-// f9  = Inv_log2by64
-// f10 = log2by64_hi
-// f11 = log2by64_lo
+// Get the following constants. 
+// Inv_log2by64
+// log2by64_hi
+// log2by64_lo
 
-{ .mmi
-(p0)     adds                 r32 = 0x1,r0      
-(p0)     addl           r34   = @ltoff(double_cosh_arg_reduction), gp
-         nop.i 999
-}
-;;
 
 // We want 2^(N-1) and 2^(-N-1). So bias N-1 and -N-1 and
 // put them in an exponent.
-// cosh_FR_spos = 2^(N-1) and cosh_FR_sneg = 2^(-N-1)
-// r39 = 0xffff + (N-1)  = 0xffff +N -1
-// r40 = 0xffff - (N +1) = 0xffff -N -1
-
-{ .mlx
-         ld8 r34 = [r34]
-(p0)     movl                r38 = 0x000000000000fffe ;; 
-}
+// f_spos = 2^(N-1) and f_sneg = 2^(-N-1)
+// 0xffff + (N-1)  = 0xffff +N -1
+// 0xffff - (N +1) = 0xffff -N -1
 
-{ .mmi
-(p0)     ldfe            cosh_FR_Inv_log2by64 = [r34],16 ;;            
-(p0)     ldfe            cosh_FR_log2by64_hi  = [r34],16            
-         nop.i 999 ;;
-}
-
-{ .mbb
-(p0)     ldfe            cosh_FR_log2by64_lo  = [r34],16            
-         nop.b 999
-         nop.b 999 ;;
-}
-
-// Get the A coefficients
-// f9  = A_1
-// f10 = A_2
-// f11 = A_3
 
-{ .mmi
-      nop.m 999
-(p0)  addl           r34   = @ltoff(double_cosh_ab_table), gp
-      nop.i 999
-}
-;;
+// Calculate M and keep it as integer and floating point.
+// M = round-to-integer(x*Inv_log2by64)
+// f_M = M = truncate(ax/(log2/64))
+// Put the integer representation of M in r_M
+//    and the floating point representation of M in f_M
 
+// Get the remaining A,B coefficients
 { .mmi
-      ld8 r34 = [r34]
-      nop.m 999
-      nop.i 999
+      ldfe            f_A3 = [r_ad3],16
+      nop.m           0
+      nop.i           0
 }
 ;;
 
-
-// Calculate M and keep it as integer and floating point.
-// M = round-to-integer(x*Inv_log2by64)
-// cosh_FR_M = M = truncate(ax/(log2/64))
-// Put the significand of M in r35
-//    and the floating point representation of M in cosh_FR_M
-
+// Use constant (1.100*2^(63-6)) to get rounded M into rightmost significand
+// |x| * 64 * 1/ln2 * 2^(63-6) + 1.1000 * 2^(63+(63-6))
 { .mfi
-      nop.m 999
-(p0)  fma.s1          cosh_FR_M      = cosh_FR_X, cosh_FR_Inv_log2by64, f0 
-      nop.i 999
+      nop.m           0
+      fma.s1          f_M_temp = f_ABS_X, f_INV_LN2_2TO63, f_RSHF_2TO57
+      mov             r_signexp_0_5 = 0x0fffe // signexp of +0.5
 }
+;;
 
+// Test for |x| >= overflow limit
 { .mfi
-(p0)  ldfe            cosh_FR_A1 = [r34],16            
-      nop.f 999
-      nop.i 999 ;;
+      ldfe            f_B1 = [r_ad3],16
+      fcmp.ge.s1      p6,p0 = f_ABS_X, f_smlst_oflow_input
+      nop.i           0
 }
+;;
 
 { .mfi
-      nop.m 999
-(p0)  fcvt.fx.s1      cosh_FR_M_temp = cosh_FR_M                      
-      nop.i 999 ;;
+      ldfe            f_B2 = [r_ad3],16
+      nop.f           0
+      mov             r_exp_32 = 0x10004
 }
+;;
 
-{ .mfi
-      nop.m 999
-(p0)  fnorm.s1        cosh_FR_M      = cosh_FR_M_temp                 
-      nop.i 999 ;;
+// Subtract RSHF constant to get rounded M as a floating point value
+// M_temp * 2^(63-6) - 2^63
+{ .mfb
+      ldfe            f_B3 = [r_ad3],16            
+      fms.s1          f_M = f_M_temp, f_2TOM57, f_RSHF
+(p6)  br.cond.spnt    COSH_HUGE  // Branch if result will overflow
 }
+;;
 
 { .mfi
-(p0)  getf.sig        r35       = cosh_FR_M_temp                 
-      nop.f 999
-      nop.i 999 ;;
+      getf.sig        r_M = f_M_temp                 
+      nop.f           0
+      cmp.ge          p7,p6 = r_exp_x, r_exp_32 // Test if x >= 32
 }
+;;
 
-// M is still in r35. Calculate j. j is the signed extension of the six lsb of M. It
+// Calculate j. j is the signed extension of the six lsb of M. It 
 // has a range of -32 thru 31.
-// r35 = M
-// r36 = j 
-{ .mii
-      nop.m 999
-      nop.i 999 ;;
-(p0)  and            r36 = 0x3f, r35 ;;   
-}
 
 // Calculate R
-// f13 = f44 - f12*f10 = x - M*log2by64_hi
-// f14 = f13 - f8*f11 = R = (x - M*log2by64_hi) - M*log2by64_lo
-
-{ .mfi
-      nop.m 999
-(p0)  fnma.s1        cosh_FR_R_temp = cosh_FR_M, cosh_FR_log2by64_hi, cosh_FR_X      
-      nop.i 999
-}
+// ax - M*log2by64_hi
+// R = (ax - M*log2by64_hi) - M*log2by64_lo
 
 { .mfi
-(p0)  ldfe            cosh_FR_A2 = [r34],16            
-      nop.f 999
-      nop.i 999 ;;
+      nop.m           0
+      fnma.s1         f_R_temp = f_M, f_log2by64_hi, f_ABS_X
+      and             r_j = 0x3f, r_M
 }
+;;
 
-{ .mfi
-      nop.m 999
-(p0)  fnma.s1        cosh_FR_R      = cosh_FR_M, cosh_FR_log2by64_lo, cosh_FR_R_temp 
-      nop.i 999
+{ .mii
+      nop.m           0
+      shl             r_jshf = r_j, 0x2 // Shift j so can sign extend it
+;;
+      sxt1            r_jshf = r_jshf
 }
+;;
 
-// Get the B coefficients
-// f15 = B_1
-// f32 = B_2
-// f33 = B_3
-
-{ .mmi
-(p0)     ldfe            cosh_FR_A3 = [r34],16 ;;            
-(p0)     ldfe            cosh_FR_B1 = [r34],16            
-         nop.i 999 ;;
+{ .mii
+      nop.m           0
+      shr             r_j = r_jshf, 0x2    // Now j has range -32 to 31
+      nop.i           0
 }
+;;
 
 { .mmi
-(p0)     ldfe            cosh_FR_B2 = [r34],16 ;;            
-(p0)     ldfe            cosh_FR_B3 = [r34],16            
-         nop.i 999 ;;
+      shladd          r_ad_J_hi = r_j, 4, r_ad4 // pointer to Tjhi
+      sub             r_Mmj = r_M, r_j          // M-j
+      sub             r_mj = r0, r_j            // Form -j
 }
+;;
 
-{ .mii
-         nop.m 999
-(p0)     shl            r34 = r36,  0x2 ;;   
-(p0)     sxt1           r37 = r34 ;;         
+// The TBL and EXP branches are merged and predicated
+// If TBL, p6 true, 0.25 <= |x| < 32
+// If EXP, p7 true, 32 <= |x| < overflow_limit
+//
+// N = (M-j)/64
+{ .mfi
+      ldfe            f_Tjhi = [r_ad_J_hi]
+      fnma.s1         f_R = f_M, f_log2by64_lo, f_R_temp 
+      shr             r_N = r_Mmj, 0x6            // N = (M-j)/64 
 }
-
-// ******************************************************
-// STEP 2 (TBL and EXP)
-// ******************************************************
-// Calculate Rsquared and Rcubed in preparation for p_even and p_odd
-// f12 = R*R*R
-// f13 = R*R
-// f14 = R <== from above
-
 { .mfi
-      nop.m 999
-(p0)     fma.s1          cosh_FR_Rsq  = cosh_FR_R,   cosh_FR_R, f0  
-(p0)     shr            r36 = r37,  0x2 ;;   
+      shladd          r_ad_mJ_hi = r_mj, 4, r_ad4 // pointer to Tmjhi
+      nop.f           0
+      shladd          r_ad_mJ_lo = r_mj, 2, r_ad5 // pointer to Tmjlo
 }
+;;
 
-// r34 = M-j = r35 - r36
-// r35 = N = (M-j)/64
-
-{ .mii
-(p0)     sub                  r34 = r35, r36    
-         nop.i 999 ;;
-(p0)     shr                  r35 = r34, 0x6 ;;    
+{ .mfi
+      sub             r_2mNm1 = r_signexp_0_5, r_N // signexp 2^(-N-1)
+      nop.f           0
+      shladd          r_ad_J_lo = r_j, 2, r_ad5   // pointer to Tjlo
 }
-
-{ .mii
-(p0)     sub                 r40 = r38, r35           
-(p0)     adds                 r37 = 0x1, r35    
-(p0)     add                 r39 = r38, r35 ;;           
+{ .mfi
+      ldfe            f_Tmjhi = [r_ad_mJ_hi]
+      nop.f           0
+      add             r_2Nm1 = r_signexp_0_5, r_N // signexp 2^(N-1)
 }
+;;
 
-// Get the address of the J table, add the offset,
-// addresses are sinh_AD_mJ and sinh_AD_J, get the T value
-// f32 = T(j)_hi
-// f33 = T(j)_lo
-// f34 = T(-j)_hi
-// f35 = T(-j)_lo
-
-{ .mmi
-(p0)     sub                  r34 = r35, r32    
-(p0)     addl    r37   = @ltoff(double_cosh_j_table), gp
-         nop.i 999
+{ .mmf
+      ldfs            f_Tmjlo = [r_ad_mJ_lo]
+      setf.exp        f_sneg = r_2mNm1            // Form 2^(-N-1)
+      nop.f           0
 }
 ;;
 
-{ .mfi
-      ld8 r37 = [r37]
-(p0)  fma.s1          cosh_FR_Rcub = cosh_FR_Rsq, cosh_FR_R, f0  
-      nop.i 999
+{ .mmf
+      ldfs            f_Tjlo  = [r_ad_J_lo]
+      setf.exp        f_spos = r_2Nm1             // Form 2^(N-1)
+      nop.f           0
 }
+;;
 
 // ******************************************************
-// STEP 3 Now decide if we need to branch to EXP
+// STEP 2 (TBL and EXP)
 // ******************************************************
-// Put 32 in f9; p6 true if x < 32
+// Calculate Rsquared and Rcubed in preparation for p_even and p_odd
 
-{ .mlx
-         nop.m 999
-(p0)     movl                r32 = 0x0000000000010004 ;;               
+{ .mmf
+      nop.m           0
+      nop.m           0
+      fma.s1          f_Rsq  = f_R, f_R, f0
 }
+;;
 
-// Calculate p_even
-// f34 = B_2 + Rsq *B_3
-// f35 = B_1 + Rsq*f34      = B_1 + Rsq * (B_2 + Rsq *B_3)
-// f36 = peven = Rsq * f35 = Rsq * (B_1 + Rsq * (B_2 + Rsq *B_3))
-
-{ .mfi
-      nop.m 999
-(p0)  fma.s1          cosh_FR_peven_temp1 = cosh_FR_Rsq, cosh_FR_B3,          cosh_FR_B2  
-      nop.i 999 ;;
-}
 
+// Calculate p_even
+// B_2 + Rsq *B_3
+// B_1 + Rsq * (B_2 + Rsq *B_3)
+// p_even = Rsq * (B_1 + Rsq * (B_2 + Rsq *B_3))
 { .mfi
-      nop.m 999
-(p0)  fma.s1          cosh_FR_peven_temp2 = cosh_FR_Rsq, cosh_FR_peven_temp1, cosh_FR_B1  
-      nop.i 999
+      nop.m           0
+      fma.s1          f_peven_temp1 = f_Rsq, f_B3, f_B2
+      nop.i           0
 }
-
 // Calculate p_odd
-// f34 = A_2 + Rsq *A_3
-// f35 = A_1 + Rsq * (A_2 + Rsq *A_3)
-// f37 = podd = R + Rcub * (A_1 + Rsq * (A_2 + Rsq *A_3))
-
+// A_2 + Rsq *A_3
+// A_1 + Rsq * (A_2 + Rsq *A_3)
+// podd = R + Rcub * (A_1 + Rsq * (A_2 + Rsq *A_3))
 { .mfi
-      nop.m 999
-(p0)  fma.s1          cosh_FR_podd_temp1 = cosh_FR_Rsq,        cosh_FR_A3,         cosh_FR_A2  
-      nop.i 999 ;;
+      nop.m           0
+      fma.s1          f_podd_temp1 = f_Rsq, f_A3, f_A2
+      nop.i           0
 }
+;;
 
 { .mfi
-(p0)  setf.exp            cosh_FR_N_temp1 = r39            
-      nop.f 999
-      nop.i 999 ;;
+      nop.m           0
+      fma.s1          f_Rcub = f_Rsq, f_R, f0
+      nop.i           0
 }
+;;
 
-{ .mfi
-      nop.m 999
-(p0)  fma.s1          cosh_FR_peven       = cosh_FR_Rsq, cosh_FR_peven_temp2, f0     
-      nop.i 999
-}
+// 
+// If TBL, 
+// Calculate S_hi and S_lo, and C_hi
+// SC_hi_temp = sneg * Tmjhi
+// S_hi = spos * Tjhi - SC_hi_temp
+// S_hi = spos * Tjhi - (sneg * Tmjhi)
+// C_hi = spos * Tjhi + SC_hi_temp
+// C_hi = spos * Tjhi + (sneg * Tmjhi)
 
 { .mfi
-      nop.m 999
-(p0)  fma.s1          cosh_FR_podd_temp2 = cosh_FR_Rsq,        cosh_FR_podd_temp1, cosh_FR_A1  
-      nop.i 999 ;;
+      nop.m           0
+(p6)  fma.s1          f_SC_hi_temp = f_sneg, f_Tmjhi, f0   
+      nop.i           0
 }
+;;
 
+// If TBL, 
+// C_lo_temp3 = sneg * Tmjlo
+// C_lo_temp4 = spos * Tjlo + C_lo_temp3
+// C_lo_temp4 = spos * Tjlo + (sneg * Tmjlo)
 { .mfi
-(p0)  setf.exp            f9  = r32                              
-      nop.f 999
-      nop.i 999 ;;
+      nop.m           0
+(p6)  fma.s1          f_C_lo_temp3 =  f_sneg, f_Tmjlo, f0
+      nop.i           0
 }
+;;
 
 { .mfi
-      nop.m 999
-(p0)  fma.s1          cosh_FR_podd       = cosh_FR_podd_temp2, cosh_FR_Rcub,       cosh_FR_R   
-      nop.i 999
-}
-
-// sinh_GR_mj contains the table offset for -j
-// sinh_GR_j  contains the table offset for +j
-// p6 is true when j <= 0
-
-{ .mlx
-(p0)     setf.exp            cosh_FR_N_temp2 = r40            
-(p0)     movl                r40 = 0x0000000000000020 ;;    
+      nop.m           0
+      fma.s1          f_peven_temp2 = f_Rsq, f_peven_temp1, f_B1
+      nop.i           0
 }
-
 { .mfi
-(p0)     sub                 GR_mJ = r40,  r36           
-(p0)     fmerge.se           cosh_FR_spos    = cosh_FR_N_temp1, f1 
-(p0)     adds                GR_J  = 0x20, r36 ;;           
+      nop.m           0
+      fma.s1          f_podd_temp2 = f_Rsq, f_podd_temp1, f_A1
+      nop.i           0
 }
+;;
 
-{ .mii
-         nop.m 999
-(p0)     shl                  GR_mJ = GR_mJ, 5 ;;   
-(p0)     add                  AD_mJ = r37, GR_mJ ;; 
+// If EXP, 
+// Compute 2^(N-1) * Tjhi and 2^(N-1) * Tjlo
+{ .mfi
+      nop.m           0
+(p7)  fma.s1          f_Tjhi_spos = f_Tjhi, f_spos, f0
+      nop.i           0
 }
-
-{ .mmi
-         nop.m 999
-(p0)     ldfe                 cosh_FR_Tmjhi = [AD_mJ],16                 
-(p0)     shl                  GR_J  = GR_J, 5 ;;    
+{ .mfi
+      nop.m           0
+(p7)  fma.s1          f_Tjlo_spos = f_Tjlo, f_spos, f0
+      nop.i           0
 }
+;;
 
 { .mfi
-(p0)     ldfs                 cosh_FR_Tmjlo = [AD_mJ],16                 
-(p0)     fcmp.lt.unc.s1      p6,p7 = cosh_FR_X,f9                          
-(p0)     add                  AD_J  = r37, GR_J ;;  
+      nop.m           0
+(p6)  fma.s1          f_C_hi = f_spos, f_Tjhi, f_SC_hi_temp
+      nop.i           0
 }
+;;
 
-{ .mmi
-(p0)     ldfe                 cosh_FR_Tjhi  = [AD_J],16 ;;                  
-(p0)     ldfs                 cosh_FR_Tjlo  = [AD_J],16                  
-         nop.i 999 ;;
+{ .mfi
+      nop.m           0
+(p6)  fms.s1          f_S_hi = f_spos, f_Tjhi, f_SC_hi_temp
+      nop.i           0
 }
-
-{ .mfb
-         nop.m 999
-(p0)     fmerge.se           cosh_FR_sneg    = cosh_FR_N_temp2, f1 
-(p7)     br.cond.spnt        L(COSH_BY_EXP) ;;                            
+{ .mfi
+      nop.m           0
+(p6)  fma.s1          f_C_lo_temp4 = f_spos, f_Tjlo, f_C_lo_temp3
+      nop.i           0
 }
-
-// ******************************************************
-// If NOT branch to EXP
-// ******************************************************
-// Calculate C_hi
-// ******************************************************
-// cosh_FR_C_hi_temp = cosh_FR_sneg * cosh_FR_Tmjhi
-// cosh_FR_C_hi = cosh_FR_spos * cosh_FR_Tjhi + (cosh_FR_sneg * cosh_FR_Tmjhi)
+;;
 
 { .mfi
-      nop.m 999
-(p0)  fma.s1         cosh_FR_C_hi_temp = cosh_FR_sneg, cosh_FR_Tmjhi, f0                   
-      nop.i 999 ;;
+      nop.m           0
+      fma.s1          f_peven = f_Rsq, f_peven_temp2, f0
+      nop.i           0
 }
-
 { .mfi
-      nop.m 999
-(p0)  fma.s1         cosh_FR_C_hi      = cosh_FR_spos, cosh_FR_Tjhi,  cosh_FR_C_hi_temp    
-      nop.i 999
+      nop.m           0
+      fma.s1          f_podd = f_podd_temp2, f_Rcub, f_R
+      nop.i           0
 }
+;;
 
-// ******************************************************
-// Calculate S_hi
-// ******************************************************
-// cosh_FR_S_hi_temp1 = cosh_FR_sneg * cosh_FR_Tmjhi
-// cosh_FR_S_hi = cosh_FR_spos * cosh_FR_Tjhi - cosh_FR_C_hi_temp1
+// If TBL,
+// C_lo_temp1 =  spos * Tjhi - C_hi
+// C_lo_temp2 =  sneg * Tmjlo + C_lo_temp1
+// C_lo_temp2 =  sneg * Tmjlo + (spos * Tjhi - C_hi)
 
 { .mfi
-      nop.m 999
-(p0)  fma.s1        cosh_FR_S_hi_temp1 =  cosh_FR_sneg, cosh_FR_Tmjhi, f0                
-      nop.i 999 ;;
+      nop.m           0
+(p6)  fms.s1          f_C_lo_temp1 =  f_spos, f_Tjhi,  f_C_hi
+      nop.i           0
 }
-
-// ******************************************************
-// Calculate C_lo
-// ******************************************************
-// cosh_FR_C_lo_temp1 = cosh_FR_spos * cosh_FR_Tjhi - cosh_FR_C_hi
-// cosh_FR_C_lo_temp2 = cosh_FR_sneg * cosh_FR_Tmjlo + (cosh_FR_spos * cosh_FR_Tjhi - cosh_FR_C_hi)
-// cosh_FR_C_lo_temp1 = cosh_FR_sneg * cosh_FR_Tmjlo
-// cosh_FR_C_lo_temp3 = cosh_FR_spos * cosh_FR_Tjlo + (cosh_FR_sneg * cosh_FR_Tmjlo)
-// cosh_FR_C_lo = cosh_FR_C_lo_temp3 + cosh_FR_C_lo_temp2
+;;
 
 { .mfi
-      nop.m 999
-(p0)  fms.s1        cosh_FR_C_lo_temp1 = cosh_FR_spos, cosh_FR_Tjhi,  cosh_FR_C_hi        
-      nop.i 999
+      nop.m           0
+(p6)  fma.s1          f_C_lo_temp2 = f_sneg, f_Tmjhi, f_C_lo_temp1       
+      nop.i           0
 }
+;;
 
+// If EXP,
+// Y_hi = 2^(N-1) * Tjhi
+// Y_lo = 2^(N-1) * Tjhi * (p_odd + p_even) + 2^(N-1) * Tjlo
 { .mfi
-      nop.m 999
-(p0)  fms.s1        cosh_FR_S_hi       =  cosh_FR_spos, cosh_FR_Tjhi, cosh_FR_S_hi_temp1 
-      nop.i 999 ;;
+      nop.m           0
+(p7)  fma.s1          f_Y_lo_temp =  f_peven, f1, f_podd
+      nop.i           0
 }
+;;
 
+// If TBL,
+// C_lo = C_lo_temp4 + C_lo_temp2
 { .mfi
-      nop.m 999
-(p0)  fma.s1        cosh_FR_C_lo_temp2 = cosh_FR_sneg, cosh_FR_Tmjhi, cosh_FR_C_lo_temp1  
-      nop.i 999
+      nop.m           0
+(p6)  fma.s1          f_C_lo = f_C_lo_temp4, f1, f_C_lo_temp2
+      nop.i           0
 }
+;;
 
+// If TBL,
+// Y_hi = C_hi 
+// Y_lo = S_hi*p_odd + (C_hi*p_even + C_lo)
 { .mfi
-      nop.m 999
-(p0)  fma.s1        cosh_FR_C_lo_temp1 = cosh_FR_sneg, cosh_FR_Tmjlo, f0                  
-      nop.i 999 ;;
+      nop.m           0
+(p6)  fma.s1          f_Y_lo_temp = f_C_hi, f_peven, f_C_lo
+      nop.i           0
 }
+;;
 
 { .mfi
-      nop.m 999
-(p0)  fma.s1        cosh_FR_C_lo_temp3 =  cosh_FR_spos, cosh_FR_Tjlo,  cosh_FR_C_lo_temp1 
-      nop.i 999 ;;
+      nop.m           0
+(p7)  fma.s1          f_Y_lo = f_Tjhi_spos, f_Y_lo_temp, f_Tjlo_spos
+      nop.i           0
 }
+;;
 
+// Dummy multiply to generate inexact
 { .mfi
-      nop.m 999
-(p0)  fma.s1        cosh_FR_C_lo       =  cosh_FR_C_lo_temp3, f1,   cosh_FR_C_lo_temp2    
-      nop.i 999 ;;
+      nop.m           0
+      fmpy.s0         f_tmp = f_B2, f_B2
+      nop.i           0
 }
-
-// ******************************************************
-// cosh_FR_Y_lo_temp = cosh_FR_C_hi * cosh_FR_peven + cosh_FR_C_lo
-// cosh_FR_Y_lo = cosh_FR_S_hi * cosh_FR_podd + cosh_FR_Y_lo_temp
-// cosh_FR_COSH = Y_hi + Y_lo
-
 { .mfi
-      nop.m 999
-(p0)  fma.s1         cosh_FR_Y_lo_temp =  cosh_FR_C_hi, cosh_FR_peven, cosh_FR_C_lo       
-      nop.i 999 ;;
+      nop.m           0
+(p6)  fma.s1          f_Y_lo = f_S_hi, f_podd, f_Y_lo_temp
+      nop.i           0
 }
+;;
 
+// f8 = answer = Y_hi + Y_lo
 { .mfi
-      nop.m 999
-(p0)  fma.s1         cosh_FR_Y_lo      =  cosh_FR_S_hi, cosh_FR_podd, cosh_FR_Y_lo_temp   
-      nop.i 999 ;;
+      nop.m           0
+(p7)  fma.s0          f8 = f_Y_lo,  f1, f_Tjhi_spos
+      nop.i           0
 }
+;;
 
+// f8 = answer = Y_hi + Y_lo
 { .mfb
-      nop.m 999
-(p0)  fma.s0       f8 =  cosh_FR_C_hi, f1, cosh_FR_Y_lo                       
-(p0)  br.ret.sptk     b0 ;;
+      nop.m           0
+(p6)  fma.s0          f8 = f_Y_lo, f1, f_C_hi
+      br.ret.sptk     b0      // Exit for COSH_BY_TBL and COSH_BY_EXP
 }
+;;
 
-L(COSH_BY_EXP): 
-
-// When p7 is true,  we know that an overflow is not going to happen
-// When p7 is false, we must check for possible overflow
-// p7 is the over_SAFE flag
-// f44 = Scale * (Y_hi + Y_lo)
-//     =  cosh_FR_spos * (cosh_FR_Tjhi + cosh_FR_Y_lo)
 
-{ .mfi
-      nop.m 999
-(p0)  fma.s1         cosh_FR_Y_lo_temp =  cosh_FR_peven, f1,       cosh_FR_podd           
-      nop.i 999
+// Here if 0 < |x| < 0.25
+COSH_BY_POLY: 
+{ .mmf
+      ldfe            f_P6 = [r_ad2e],16
+      ldfe            f_P5 = [r_ad2o],16
+      nop.f           0
 }
+;;
 
-// Now we are in EXP. This is the only path where an overflow is possible
-// but not for certain. So this is the only path where over_SAFE has any use.
-// r34 still has N-1
-// There is a danger of double-extended overflow   if N-1 > 0x3ffe = 16382
-// There is a danger of double overflow            if N-1 > 0x3fe  = 1022
-// There is a danger of single overflow            if N-1 > 0x7e   = 126
+{ .mmi
+      ldfe            f_P4 = [r_ad2e],16
+      ldfe            f_P3 = [r_ad2o],16
+      nop.i           0
+}
+;;
 
-{ .mlx
-       nop.m 999
-(p0)   movl                r32          = 0x0000000000003ffe ;;                       
+{ .mmi
+      ldfe            f_P2 = [r_ad2e],16
+      ldfe            f_P1 = [r_ad2o],16                 
+      nop.i           0
 }
+;;
 
 { .mfi
-(p0)  cmp.gt.unc          p0,p7        = r34, r32                                 
-      nop.f 999
-      nop.i 999 ;;
+      nop.m           0
+      fma.s1          f_X3 = f_NORM_X, f_X2, f0
+      nop.i           0
 }
-
 { .mfi
-      nop.m 999
-(p0)  fma.s1         cosh_FR_Y_lo      =  cosh_FR_Tjhi,  cosh_FR_Y_lo_temp, cosh_FR_Tjlo       
-      nop.i 999 ;;
+      nop.m           0
+      fma.s1          f_X4 = f_X2, f_X2, f0
+      nop.i           0
 }
+;;
 
 { .mfi
-      nop.m 999
-(p0)  fma.s1         cosh_FR_COSH_temp =  cosh_FR_Y_lo,  f1, cosh_FR_Tjhi                 
-      nop.i 999 ;;
+      nop.m           0
+      fma.s1          f_poly65 = f_X2, f_P6, f_P5
+      nop.i           0
 }
-
 { .mfi
-      nop.m 999
-(p0)  fma.s0       f44 = cosh_FR_spos,  cosh_FR_COSH_temp, f0                       
-      nop.i 999 ;;
+      nop.m           0
+      fma.s1          f_poly43 = f_X2, f_P4, f_P3
+      nop.i           0
 }
+;;
 
-// Dummy multiply to generate inexact
 { .mfi
-         nop.m 999
-(p7)     fmpy.s0      cosh_FR_tmp = cosh_FR_all_ones, cosh_FR_all_ones
-         nop.i 999 ;;
+      nop.m           0
+      fma.s1          f_poly21 = f_X2, f_P2, f_P1
+      nop.i           0
 }
+;;
 
-// If over_SAFE is set, return
-{ .mfb
-       nop.m 999
-(p7)   fmerge.s            f8 = f44,f44
-(p7)  br.ret.sptk     b0 ;;
+{ .mfi
+      nop.m           0
+      fma.s1          f_poly6543 = f_X4, f_poly65, f_poly43
+      nop.i           0
 }
-
-// Else see if we overflowed
-// S0 user supplied status
-// S2 user supplied status + WRE + TD  (Overflows)
-// If WRE is set then an overflow will not occur in EXP.
-// The input value that would cause a register (WRE) value to overflow is about 2^15
-// and this input would go into the HUGE path.
-// Answer with WRE is in f43.
+;;
 
 { .mfi
-      nop.m 999
-(p0)  fsetc.s2            0x7F,0x42                                               
-      nop.i 999;;
+      nop.m           0
+      fma.s1          f_poly6to1 = f_X4, f_poly6543, f_poly21
+      nop.i           0
 }
+;;
 
+// Dummy multiply to generate inexact
 { .mfi
-      nop.m 999
-(p0)  fma.s2            f43  = cosh_FR_spos,  cosh_FR_COSH_temp, f0                      
-      nop.i 999 ;;
+      nop.m           0
+      fmpy.s0         f_tmp = f_P6, f_P6
+      nop.i           0
 }
-
-// 103FF => 103FF -FFFF = 400(true)
-// 400 + 3FF = 7FF, which is 1 more than the exponent of the largest
-// double (7FE). So 0 103FF 8000000000000000  is one ulp more than
-// largest double in register bias
-
-// 13FFF => 13FFF -FFFF = 4000(true)
-
-// Now  set p8 if the answer with WRE is greater than or equal this value
-// Also set p9 if the answer with WRE is less than or equal to negative this value
-
-{ .mlx
-       nop.m 999
-(p0)   movl                r32          = 0x0000000000013fff ;;                     
+{ .mfb
+      nop.m           0
+      fma.s0          f8 = f_poly6to1, f_X2, f1
+      br.ret.sptk     b0                // Exit COSH_BY_POLY
 }
+;;
 
-{ .mmf
-       nop.m 999
-(p0)   setf.exp            f41          = r32                                    
-(p0)   fsetc.s2            0x7F,0x40 ;;                                               
-}
 
-{ .mfi
-      nop.m 999
-(p0)  fcmp.ge.unc.s1      p8, p0       = f43, f41                               
-      nop.i 999
+// Here if x denorm or unorm
+COSH_DENORM:
+// Determine if x really a denorm and not a unorm
+{ .mmf
+      getf.exp        r_signexp_x = f_NORM_X
+      mov             r_exp_denorm = 0x0c001   // Real denorms have exp < this
+      fmerge.s        f_ABS_X = f0, f_NORM_X
 }
+;;
 
 { .mfi
-      nop.m 999
-(p0)  fmerge.ns           f42 = f41, f41                                          
-      nop.i 999 ;;
+      nop.m           0
+      fcmp.eq.s0      p10,p0 = f8, f0  // Set denorm flag
+      nop.i           0
 }
+;;
 
-// The error tag for overflow is 63
-{ .mii
-      nop.m 999
-      nop.i 999 ;;
-(p8)  mov                 GR_Parameter_TAG = 63 ;;                                               
+// Set p8 if really a denorm
+{ .mmi
+      and             r_exp_x = r_exp_mask, r_signexp_x
+;;
+      cmp.lt          p8,p9 = r_exp_x, r_exp_denorm
+      nop.i           0
 }
+;;
 
+// Identify denormal operands.
 { .mfb
-      nop.m 999
-(p0)  fcmp.le.unc.s1      p9, p0 =  f43, f42                                      
-(p8)  br.cond.spnt __libm_error_region ;;
-}
-
-{ .mii
-      nop.m 999
-      nop.i 999 ;;
-(p9)  mov                 GR_Parameter_TAG = 63                                               
-}
-
-{ .mib
-      nop.m 999
-      nop.i 999
-(p9)  br.cond.spnt __libm_error_region ;;
-}
-
-// Dummy multiply to generate inexact
-{ .mfi
-         nop.m 999
-(p0)     fmpy.s0      cosh_FR_tmp = cosh_FR_all_ones, cosh_FR_all_ones
-         nop.i 999 ;;
+      nop.m           0
+(p8)  fma.s0          f8 =  f8,f8,f1 // If x denorm, result=1+x^2
+(p9)  br.cond.sptk    COSH_COMMON    // Return to main path if x unorm
 }
+;;
 
 { .mfb
-      nop.m 999
-(p0)  fmerge.s            f8 = f44,f44                                            
-(p0)  br.ret.sptk     b0 ;;
+      nop.m           0
+      nop.f           0
+      br.ret.sptk     b0            // Exit if x denorm
 }
+;;
 
 
-// for COSH_HUGE, put 24000 in exponent; take sign from input; add 1
-// SAFE: SAFE is always 0 for HUGE
-
-L(COSH_HUGE): 
-
-{ .mlx
-      nop.m 999
-(p0)  movl                r32 = 0x0000000000015dbf ;;                                
+// Here if |x| >= overflow limit
+COSH_HUGE: 
+// for COSH_HUGE, put 24000 in exponent; take sign from input
+{ .mmi
+      mov             r_exp_huge = 0x15dbf
+;;
+      setf.exp        f_huge  = r_exp_huge
+      nop.i           0
 }
+;;
 
 { .mfi
-(p0)  setf.exp            f9  = r32                                               
-      nop.f 999
-      nop.i 999 ;;
+      alloc           r32 = ar.pfs,0,5,4,0                  
+      fma.s1          f_signed_hi_lo = f_huge, f1, f1
+      nop.i           0
 }
+;;
 
 { .mfi
-      nop.m 999
-(p0)  fma.s1              cosh_FR_hi_lo = f1, f9, f1                              
-      nop.i 999 ;;
+      nop.m           0
+      fma.s0          f_pre_result = f_signed_hi_lo, f_huge, f0
+      mov             GR_Parameter_TAG = 63
 }
+;;
 
-{ .mfi
-      nop.m 999
-(p0)  fma.s0            f44 = f9, cosh_FR_hi_lo, f0                             
-(p0)  mov                 GR_Parameter_TAG = 63                                               
-}
-.endp coshl
-ASM_SIZE_DIRECTIVE(coshl)
+GLOBAL_IEEE754_END(coshl)
 
-.proc __libm_error_region
-__libm_error_region:
+LOCAL_LIBM_ENTRY(__libm_error_region)
 .prologue
+
 { .mfi
-        add   GR_Parameter_Y=-32,sp             // Parameter 2 value
+        add   GR_Parameter_Y=-32,sp              // Parameter 2 value
         nop.f 0
 .save   ar.pfs,GR_SAVE_PFS
-        mov  GR_SAVE_PFS=ar.pfs                 // Save ar.pfs
+        mov  GR_SAVE_PFS=ar.pfs                  // Save ar.pfs
 }
 { .mfi
 .fframe 64
-        add sp=-64,sp                           // Create new stack
+        add sp=-64,sp                            // Create new stack
         nop.f 0
-        mov GR_SAVE_GP=gp                       // Save gp
+        mov GR_SAVE_GP=gp                        // Save gp
 };;
+
 { .mmi
-        stfe [GR_Parameter_Y] = FR_Y,16         // Save Parameter 2 on stack
-        add GR_Parameter_X = 16,sp              // Parameter 1 address
+        stfe [GR_Parameter_Y] = f0,16            // STORE Parameter 2 on stack
+        add GR_Parameter_X = 16,sp               // Parameter 1 address
 .save   b0, GR_SAVE_B0
-        mov GR_SAVE_B0=b0                       // Save b0
+        mov GR_SAVE_B0=b0                        // Save b0
 };;
+
 .body
 { .mib
-        stfe [GR_Parameter_X] = FR_X            // Store Parameter 1 on stack
-        add   GR_Parameter_RESULT = 0,GR_Parameter_Y
-        nop.b 0                                 // Parameter 3 address
+        stfe [GR_Parameter_X] = f8               // STORE Parameter 1 on stack
+        add   GR_Parameter_RESULT = 0,GR_Parameter_Y   // Parameter 3 address
+        nop.b 0                            
 }
 { .mib
-        stfe [GR_Parameter_Y] = FR_RESULT      // Store Parameter 3 on stack
+        stfe [GR_Parameter_Y] = f_pre_result     // STORE Parameter 3 on stack
         add   GR_Parameter_Y = -16,GR_Parameter_Y
-        br.call.sptk b0=__libm_error_support#  // Call error handling function
+        br.call.sptk b0=__libm_error_support#    // Call error handling function
 };;
+
 { .mmi
-        nop.m 0
-        nop.m 0
         add   GR_Parameter_RESULT = 48,sp
+        nop.m 0
+        nop.i 0
 };;
+
 { .mmi
-        ldfe  f8 = [GR_Parameter_RESULT]       // Get return result off stack
+        ldfe  f8 = [GR_Parameter_RESULT]         // Get return result off stack
 .restore sp
-        add   sp = 64,sp                       // Restore stack pointer
-        mov   b0 = GR_SAVE_B0                  // Restore return address
+        add   sp = 64,sp                         // Restore stack pointer
+        mov   b0 = GR_SAVE_B0                    // Restore return address
 };;
+
 { .mib
-        mov   gp = GR_SAVE_GP                  // Restore gp
-        mov   ar.pfs = GR_SAVE_PFS             // Restore ar.pfs
-        br.ret.sptk     b0                     // Return
+        mov   gp = GR_SAVE_GP                    // Restore gp
+        mov   ar.pfs = GR_SAVE_PFS               // Restore ar.pfs
+        br.ret.sptk     b0                       // Return
 };;
 
-.endp __libm_error_region
-ASM_SIZE_DIRECTIVE(__libm_error_region)
+LOCAL_LIBM_END(__libm_error_region)
+
 
 .type   __libm_error_support#,@function
 .global __libm_error_support#
diff --git a/sysdeps/ia64/fpu/e_exp.S b/sysdeps/ia64/fpu/e_exp.S
index db02336ecf..5ae8afeb99 100644
--- a/sysdeps/ia64/fpu/e_exp.S
+++ b/sysdeps/ia64/fpu/e_exp.S
@@ -1,10 +1,10 @@
 .file "exp.s"
 
-// Copyright (C) 2000, 2001, Intel Corporation
+
+// Copyright (c) 2000 - 2002, Intel Corporation
 // All rights reserved.
-// 
-// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story,
-// and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
 //
 // Redistribution and use in source and binary forms, with or without
 // modification, are permitted provided that the following conditions are
@@ -20,26 +20,26 @@
 // * The name of Intel Corporation may not be used to endorse or promote
 // products derived from this software without specific prior written
 // permission.
-//
-// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
-// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
-// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS 
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
 // CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
-// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, 
-// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 
-// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY 
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
 // OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
-// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 
-// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 
-// 
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+//
 // Intel Corporation is the author of this code, and requests that all
-// problem reports or change requests be submitted to it directly at 
-// http://developer.intel.com/opensource.
+// problem reports or change requests be submitted to it directly at
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
 //
 // History
 //==============================================================
-// 2/02/00  Initial version 
+// 2/02/00  Initial version
 // 3/07/00  exp(inf)  = inf but now does NOT call error support
 //          exp(-inf) = 0   but now does NOT call error support
 // 4/04/00  Unwind support added
@@ -48,6 +48,10 @@
 // 11/30/00 Reworked to shorten main path, widen main path to include all
 //          args in normal range, and add quick exit for 0, nan, inf.
 // 12/05/00 Loaded constants earlier with setf to save 2 cycles.
+// 02/05/02 Corrected uninitialize predicate in POSSIBLE_UNDERFLOW path
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 09/07/02 Force inexact flag
+// 11/15/02 Split underflow path into zero/nonzero; eliminated fma in main path
 
 // API
 //==============================================================
@@ -67,187 +71,167 @@
 //       Construct 2^M
 //       Get 2^(index_1/128) from table_1;
 //       Get 2^(index_2/8)   from table_2;
-//       Calculate exp(r) by series
+//       Calculate exp(r) by 5th order polynomial
 //          r = x - n (log2/128)_high
 //          delta = - n (log2/128)_low
 //       Calculate exp(delta) as 1 + delta
 
 
-// Special values 
+// Special values
 //==============================================================
 // exp(+0)    = 1.0
 // exp(-0)    = 1.0
 
-// exp(+qnan) = +qnan 
-// exp(-qnan) = -qnan 
-// exp(+snan) = +qnan 
-// exp(-snan) = -qnan 
+// exp(+qnan) = +qnan
+// exp(-qnan) = -qnan
+// exp(+snan) = +qnan
+// exp(-snan) = -qnan
 
-// exp(-inf)  = +0 
+// exp(-inf)  = +0
 // exp(+inf)  = +inf
 
-// Overfow and Underfow
+// Overflow and Underflow
 //=======================
-// exp(-x) = smallest double normal when
-//     x = -708.396 = c086232bdd7abcd2
-
 // exp(x) = largest double normal when
-//     x = 709.7827 = 40862e42fefa39ef
+//     x = 709.7827 = 0x40862e42fefa39ef
+
+// exp(x) = smallest double normal when
+//     x = -708.396 = 0xc086232bdd7abcd2
 
+// exp(x) = largest round-to-nearest single zero when
+//     x = -745.1332 = 0xc0874910d52d3052
 
 
 // Registers used
 //==============================================================
-// Floating Point registers used: 
-// f8, input
-// f9 -> f15,  f32 -> f60
+// Floating Point registers used:
+// f8, input, output
+// f6 -> f15,  f32 -> f49
 
-// General registers used: 
-// r32 -> r60 
+// General registers used:
+// r14 -> r40
 
 // Predicate registers used:
 // p6 -> p15
 
-#include "libm_support.h"
-
 // Assembly macros
 //==============================================================
 
-exp_GR_rshf                   = r33
-EXP_AD_TB1                    = r34
-EXP_AD_TB2                    = r35
-EXP_AD_P                      = r36
-
-exp_GR_N                      = r37
-exp_GR_index_1                = r38
-exp_GR_index_2_16             = r39
-
-exp_GR_biased_M               = r40
-exp_GR_index_1_16             = r41
-EXP_AD_T1                     = r42
-EXP_AD_T2                     = r43
-exp_GR_sig_inv_ln2            = r44
-
-exp_GR_17ones                 = r45
-exp_GR_one                    = r46
-exp_TB1_size                  = r47
-exp_TB2_size                  = r48
-exp_GR_rshf_2to56             = r49
-
-exp_GR_gt_ln                  = r50
-exp_GR_exp_2tom56             = r51
-
-exp_GR_17ones_m1              = r52
-
-GR_SAVE_B0                    = r53
-GR_SAVE_PFS                   = r54
-GR_SAVE_GP                    = r55
-GR_SAVE_SP                    = r56
-
-GR_Parameter_X                = r57
-GR_Parameter_Y                = r58
-GR_Parameter_RESULT           = r59
-GR_Parameter_TAG              = r60
-
-
-FR_X             = f10
-FR_Y             = f1
-FR_RESULT        = f8
-
-EXP_RSHF_2TO56   = f6
-EXP_INV_LN2_2TO63 = f7
-EXP_W_2TO56_RSH  = f9
-EXP_2TOM56       = f11
-exp_P4           = f12 
-exp_P3           = f13 
-exp_P2           = f14 
-exp_P1           = f15 
-
-exp_ln2_by_128_hi  = f33 
-exp_ln2_by_128_lo  = f34 
-
-EXP_RSHF           = f35
-EXP_Nfloat         = f36 
-exp_W              = f37
-exp_r              = f38
-exp_f              = f39
-
-exp_rsq            = f40
-exp_rcube          = f41
-
-EXP_2M             = f42
-exp_S1             = f43
-exp_T1             = f44
-
-EXP_MIN_DBL_OFLOW_ARG = f45
-EXP_MAX_DBL_ZERO_ARG  = f46
-EXP_MAX_DBL_NORM_ARG  = f47
-EXP_MAX_DBL_UFLOW_ARG = f48
-EXP_MIN_DBL_NORM_ARG  = f49
-exp_rP4pP3         = f50
-exp_P_lo           = f51
-exp_P_hi           = f52
-exp_P              = f53
-exp_S              = f54
-
-EXP_NORM_f8        = f56   
-
-exp_wre_urm_f8     = f57
-exp_ftz_urm_f8     = f57
-
-exp_gt_pln         = f58
-
-exp_S2             = f59
-exp_T2             = f60
+rRshf                 = r14
+rAD_TB1               = r15
+rAD_T1                = r15
+rAD_TB2               = r16
+rAD_T2                = r16
+rAD_P                 = r17
+rN                    = r18
+rIndex_1              = r19
+rIndex_2_16           = r20
+rM                    = r21
+rBiased_M             = r21
+rIndex_1_16           = r21
+rSig_inv_ln2          = r22
+rExp_bias             = r23
+rExp_mask             = r24
+rTmp                  = r25
+rRshf_2to56           = r26
+rGt_ln                = r27
+rExp_2tom56           = r28
+
+
+GR_SAVE_B0            = r33
+GR_SAVE_PFS           = r34
+GR_SAVE_GP            = r35
+GR_SAVE_SP            = r36
+
+GR_Parameter_X        = r37
+GR_Parameter_Y        = r38
+GR_Parameter_RESULT   = r39
+GR_Parameter_TAG      = r40
+
+
+FR_X                  = f10
+FR_Y                  = f1
+FR_RESULT             = f8
+
+fRSHF_2TO56           = f6
+fINV_LN2_2TO63        = f7
+fW_2TO56_RSH          = f9
+f2TOM56               = f11
+fP5                   = f12
+fP54                  = f12
+fP5432                = f12
+fP4                   = f13
+fP3                   = f14
+fP32                  = f14
+fP2                   = f15
+fP                    = f15
+
+fLn2_by_128_hi        = f33
+fLn2_by_128_lo        = f34
+
+fRSHF                 = f35
+fNfloat               = f36
+fNormX                = f37
+fR                    = f38
+fF                    = f39
+
+fRsq                  = f40
+f2M                   = f41
+fS1                   = f42
+fT1                   = f42
+fS2                   = f43
+fT2                   = f43
+fS                    = f43
+fWre_urm_f8           = f44
+fFtz_urm_f8           = f44
+
+fMIN_DBL_OFLOW_ARG    = f45
+fMAX_DBL_ZERO_ARG     = f46
+fMAX_DBL_NORM_ARG     = f47
+fMIN_DBL_NORM_ARG     = f48
+fGt_pln               = f49
+fTmp                  = f49
 
 
 // Data tables
 //==============================================================
 
-#ifdef _LIBC
-.rodata
-#else
-.data
-#endif
-
+RODATA
 .align 16
 
 // ************* DO NOT CHANGE ORDER OF THESE TABLES ********************
 
 // double-extended 1/ln(2)
 // 3fff b8aa 3b29 5c17 f0bb be87fed0691d3e88
-// 3fff b8aa 3b29 5c17 f0bc 
+// 3fff b8aa 3b29 5c17 f0bc
 // For speed the significand will be loaded directly with a movl and setf.sig
 //   and the exponent will be bias+63 instead of bias+0.  Thus subsequent
 //   computations need to scale appropriately.
-// The constant 128/ln(2) is needed for the computation of w.  This is also 
+// The constant 128/ln(2) is needed for the computation of w.  This is also
 //   obtained by scaling the computations.
 //
-// Two shifting constants are loaded directly with movl and setf.d. 
-//   1. EXP_RSHF_2TO56 = 1.1000..00 * 2^(63-7) 
+// Two shifting constants are loaded directly with movl and setf.d.
+//   1. fRSHF_2TO56 = 1.1000..00 * 2^(63-7)
 //        This constant is added to x*1/ln2 to shift the integer part of
 //        x*128/ln2 into the rightmost bits of the significand.
-//        The result of this fma is EXP_W_2TO56_RSH.
-//   2. EXP_RSHF       = 1.1000..00 * 2^(63) 
-//        This constant is subtracted from EXP_W_2TO56_RSH * 2^(-56) to give
+//        The result of this fma is fW_2TO56_RSH.
+//   2. fRSHF       = 1.1000..00 * 2^(63)
+//        This constant is subtracted from fW_2TO56_RSH * 2^(-56) to give
 //        the integer part of w, n, as a floating-point number.
-//        The result of this fms is EXP_Nfloat.
+//        The result of this fms is fNfloat.
 
 
-exp_table_1:
-ASM_TYPE_DIRECTIVE(exp_table_1,@object)
-data8 0x40862e42fefa39f0 // smallest dbl overflow arg
-data8 0xc0874c0000000000 // approx largest arg for zero result
-data8 0x40862e42fefa39ef // largest dbl arg to give normal dbl result
-data8 0xc086232bdd7abcd3 // largest dbl underflow arg
-data8 0xc086232bdd7abcd2 // smallest dbl arg to give normal dbl result
-data8 0x0                // pad
+LOCAL_OBJECT_START(exp_table_1)
+data8 0x40862e42fefa39f0 // smallest dbl overflow arg, +709.7827
+data8 0xc0874910d52d3052 // largest arg for rnd-to-nearest 0 result, -745.133
+data8 0x40862e42fefa39ef // largest dbl arg to give normal dbl result, +709.7827
+data8 0xc086232bdd7abcd2 // smallest dbl arg to give normal dbl result, -708.396
 data8 0xb17217f7d1cf79ab , 0x00003ff7 // ln2/128 hi
 data8 0xc9e3b39803f2f6af , 0x00003fb7 // ln2/128 lo
-
+//
 // Table 1 is 2^(index_1/128) where
 // index_1 goes from 0 to 15
-
+//
 data8 0x8000000000000000 , 0x00003FFF
 data8 0x80B1ED4FD999AB6C , 0x00003FFF
 data8 0x8164D1F3BC030773 , 0x00003FFF
@@ -264,12 +248,11 @@ data8 0x88980E8092DA8527 , 0x00003FFF
 data8 0x8955EE03618E5FDD , 0x00003FFF
 data8 0x8A14D575496EFD9A , 0x00003FFF
 data8 0x8AD4C6452C728924 , 0x00003FFF
-ASM_SIZE_DIRECTIVE(exp_table_1)
+LOCAL_OBJECT_END(exp_table_1)
 
 // Table 2 is 2^(index_1/8) where
 // index_2 goes from 0 to 7
-exp_table_2:
-ASM_TYPE_DIRECTIVE(exp_table_2,@object)
+LOCAL_OBJECT_START(exp_table_2)
 data8 0x8000000000000000 , 0x00003FFF
 data8 0x8B95C1E3EA8BD6E7 , 0x00003FFF
 data8 0x9837F0518DB8A96F , 0x00003FFF
@@ -278,413 +261,356 @@ data8 0xB504F333F9DE6484 , 0x00003FFF
 data8 0xC5672A115506DADD , 0x00003FFF
 data8 0xD744FCCAD69D6AF4 , 0x00003FFF
 data8 0xEAC0C6E7DD24392F , 0x00003FFF
-ASM_SIZE_DIRECTIVE (exp_table_2)
-
+LOCAL_OBJECT_END(exp_table_2)
 
-exp_p_table:
-ASM_TYPE_DIRECTIVE(exp_p_table,@object)
-data8 0x3f8111116da21757 //P_4
-data8 0x3fa55555d787761c //P_3
-data8 0x3fc5555555555414 //P_2
-data8 0x3fdffffffffffd6a //P_1
-ASM_SIZE_DIRECTIVE(exp_p_table)
 
+LOCAL_OBJECT_START(exp_p_table)
+data8 0x3f8111116da21757 //P5
+data8 0x3fa55555d787761c //P4
+data8 0x3fc5555555555414 //P3
+data8 0x3fdffffffffffd6a //P2
+LOCAL_OBJECT_END(exp_p_table)
 
-.align 32
-.global exp#
 
 .section .text
-.proc  exp#
-.align 32
-exp: 
-#ifdef _LIBC
-.global __ieee754_exp#
-__ieee754_exp:
-#endif
+GLOBAL_IEEE754_ENTRY(exp)
 
 { .mlx
-      alloc      r32=ar.pfs,1,24,4,0                               
-      movl exp_GR_sig_inv_ln2 = 0xb8aa3b295c17f0bc  // significand of 1/ln2
+      nop.m           0
+      movl            rSig_inv_ln2 = 0xb8aa3b295c17f0bc  // significand of 1/ln2
 }
 { .mlx
-      addl       EXP_AD_TB1    = @ltoff(exp_table_1), gp
-      movl exp_GR_rshf_2to56 = 0x4768000000000000 ;;  // 1.10000 2^(63+56)
+      addl            rAD_TB1    = @ltoff(exp_table_1), gp
+      movl            rRshf_2to56 = 0x4768000000000000   // 1.10000 2^(63+56)
 }
 ;;
 
-// We do this fnorm right at the beginning to take any enabled
-// faults and to normalize any input unnormals so that SWA is not taken.
 { .mfi
-      ld8        EXP_AD_TB1    = [EXP_AD_TB1]
-      fclass.m   p8,p0 = f8,0x07  // Test for x=0
-      mov        exp_GR_17ones = 0x1FFFF                          
+      ld8             rAD_TB1    = [rAD_TB1]
+      fclass.m        p8,p0 = f8,0x07  // Test for x=0
+      mov             rExp_mask = 0x1ffff
 }
 { .mfi
-      mov        exp_TB1_size  = 0x100
-      fnorm      EXP_NORM_f8   = f8                                          
-      mov exp_GR_exp_2tom56 = 0xffff-56
+      mov             rExp_bias = 0xffff
+      fnorm.s1        fNormX   = f8
+      mov             rExp_2tom56 = 0xffff-56
 }
 ;;
 
 // Form two constants we need
-//  1/ln2 * 2^63  to compute  w = x * 1/ln2 * 128 
+//  1/ln2 * 2^63  to compute  w = x * 1/ln2 * 128
 //  1.1000..000 * 2^(63+63-7) to right shift int(w) into the significand
 
-{ .mmf
-      setf.sig  EXP_INV_LN2_2TO63 = exp_GR_sig_inv_ln2 // form 1/ln2 * 2^63
-      setf.d  EXP_RSHF_2TO56 = exp_GR_rshf_2to56 // Form const 1.100 * 2^(63+56)
-      fclass.m   p9,p0 = f8,0x22  // Test for x=-inf
+{ .mfi
+      setf.sig        fINV_LN2_2TO63 = rSig_inv_ln2 // form 1/ln2 * 2^63
+      fclass.m        p9,p0 = f8,0x22  // Test for x=-inf
+      nop.i           0
+}
+{ .mlx
+      setf.d          fRSHF_2TO56 = rRshf_2to56 // Form const 1.100 * 2^(63+56)
+      movl            rRshf = 0x43e8000000000000 // 1.10000 2^63 for right shift
 }
 ;;
 
-{ .mlx
-      setf.exp EXP_2TOM56 = exp_GR_exp_2tom56 // form 2^-56 for scaling Nfloat
-      movl exp_GR_rshf = 0x43e8000000000000   // 1.10000 2^63 for right shift
+{ .mfi
+      ldfpd           fMIN_DBL_OFLOW_ARG, fMAX_DBL_ZERO_ARG = [rAD_TB1],16
+      fclass.m        p10,p0 = f8,0x1e1  // Test for x=+inf, nan, NaT
+      nop.i           0
 }
 { .mfb
-      mov        exp_TB2_size  = 0x80
-(p8)  fma.d      f8 = f1,f1,f0           // quick exit for x=0
-(p8)  br.ret.spnt b0
-;;
+      setf.exp        f2TOM56 = rExp_2tom56 // form 2^-56 for scaling Nfloat
+(p9)  fma.d.s0        f8 = f0,f0,f0           // quick exit for x=-inf
+(p9)  br.ret.spnt     b0
 }
+;;
 
 { .mfi
-      ldfpd      EXP_MIN_DBL_OFLOW_ARG, EXP_MAX_DBL_ZERO_ARG = [EXP_AD_TB1],16
-      fclass.m   p10,p0 = f8,0x21  // Test for x=+inf
-      nop.i 999
+      ldfpd           fMAX_DBL_NORM_ARG, fMIN_DBL_NORM_ARG = [rAD_TB1],16
+      nop.f           0
+      nop.i           0
 }
 { .mfb
-      nop.m 999
-(p9)  fma.d      f8 = f0,f0,f0           // quick exit for x=-inf
-(p9)  br.ret.spnt b0
-;;                    
+      setf.d          fRSHF = rRshf // Form right shift const 1.100 * 2^63
+(p8)  fma.d.s0        f8 = f1,f1,f0           // quick exit for x=0
+(p8)  br.ret.spnt     b0
 }
-
-{ .mmf
-      ldfpd      EXP_MAX_DBL_NORM_ARG, EXP_MAX_DBL_UFLOW_ARG = [EXP_AD_TB1],16
-      setf.d  EXP_RSHF = exp_GR_rshf // Form right shift const 1.100 * 2^63
-      fclass.m   p11,p0 = f8,0xc3  // Test for x=nan
 ;;
-}
 
 { .mfb
-      ldfd      EXP_MIN_DBL_NORM_ARG = [EXP_AD_TB1],16
-      nop.f 999
-(p10) br.ret.spnt b0               // quick exit for x=+inf
-;;
+      ldfe            fLn2_by_128_hi  = [rAD_TB1],16
+(p10) fma.d.s0        f8 = f8,f8,f0  // Result if x=+inf, nan, NaT
+(p10) br.ret.spnt     b0               // quick exit for x=+inf, nan, NaT
 }
+;;
 
 { .mfi
-      ldfe       exp_ln2_by_128_hi  = [EXP_AD_TB1],16
-      nop.f 999
-      nop.i 999
-;;
+      ldfe            fLn2_by_128_lo  = [rAD_TB1],16
+      fcmp.eq.s0      p6,p0 = f8, f0       // Dummy to set D
+      nop.i           0
 }
-
-
-{ .mfb
-      ldfe       exp_ln2_by_128_lo  = [EXP_AD_TB1],16
-(p11) fmerge.s   f8 = EXP_NORM_f8, EXP_NORM_f8
-(p11) br.ret.spnt b0               // quick exit for x=nan
 ;;
-}
 
-// After that last load, EXP_AD_TB1 points to the beginning of table 1
+// After that last load, rAD_TB1 points to the beginning of table 1
 
 // W = X * Inv_log2_by_128
 // By adding 1.10...0*2^63 we shift and get round_int(W) in significand.
 // We actually add 1.10...0*2^56 to X * Inv_log2 to do the same thing.
 
 { .mfi
-      nop.m 999
-      fma.s1  EXP_W_2TO56_RSH  = EXP_NORM_f8, EXP_INV_LN2_2TO63, EXP_RSHF_2TO56
-      nop.i 999
-;;
+      nop.m           0
+      fma.s1          fW_2TO56_RSH  = fNormX, fINV_LN2_2TO63, fRSHF_2TO56
+      nop.i           0
 }
-
+;;
 
 // Divide arguments into the following categories:
-//  Certain Underflow/zero  p11 - -inf < x <= MAX_DBL_ZERO_ARG 
-//  Certain Underflow       p12 - MAX_DBL_ZERO_ARG < x <= MAX_DBL_UFLOW_ARG 
-//  Possible Underflow      p13 - MAX_DBL_UFLOW_ARG < x < MIN_DBL_NORM_ARG
+//  Certain Underflow       p11 - -inf < x <= MAX_DBL_ZERO_ARG
+//  Possible Underflow      p13 - MAX_DBL_ZERO_ARG < x < MIN_DBL_NORM_ARG
 //  Certain Safe                - MIN_DBL_NORM_ARG <= x <= MAX_DBL_NORM_ARG
 //  Possible Overflow       p14 - MAX_DBL_NORM_ARG < x < MIN_DBL_OFLOW_ARG
 //  Certain Overflow        p15 - MIN_DBL_OFLOW_ARG <= x < +inf
 //
-// If the input is really a double arg, then there will never be "Possible
-// Underflow" or "Possible Overflow" arguments.
+// If the input is really a double arg, then there will never be
+// "Possible Overflow" arguments.
 //
 
 { .mfi
-      add        EXP_AD_TB2 = exp_TB1_size, EXP_AD_TB1
-      fcmp.ge.s1  p15,p14 = EXP_NORM_f8,EXP_MIN_DBL_OFLOW_ARG
-      nop.i 999
-;;                        
+      add             rAD_TB2 = 0x100, rAD_TB1
+      fcmp.ge.s1      p15,p0 = fNormX,fMIN_DBL_OFLOW_ARG
+      nop.i           0
 }
+;;
 
 { .mfi
-      add        EXP_AD_P = exp_TB2_size, EXP_AD_TB2
-      fcmp.le.s1  p11,p12 = EXP_NORM_f8,EXP_MAX_DBL_ZERO_ARG
-      nop.i 999
-;;
+      add             rAD_P = 0x80, rAD_TB2
+      fcmp.le.s1      p11,p0 = fNormX,fMAX_DBL_ZERO_ARG
+      nop.i           0
 }
+;;
 
 { .mfb
-      ldfpd      exp_P4, exp_P3  = [EXP_AD_P] ,16
-(p14) fcmp.gt.unc.s1  p14,p0 = EXP_NORM_f8,EXP_MAX_DBL_NORM_ARG
-(p15) br.cond.spnt L(EXP_CERTAIN_OVERFLOW)
-;;
+      ldfpd           fP5, fP4  = [rAD_P] ,16
+      fcmp.gt.s1      p14,p0 = fNormX,fMAX_DBL_NORM_ARG
+(p15) br.cond.spnt    EXP_CERTAIN_OVERFLOW
 }
+;;
 
-
-// Nfloat = round_int(W) 
-// The signficand of EXP_W_2TO56_RSH contains the rounded integer part of W,
+// Nfloat = round_int(W)
+// The signficand of fW_2TO56_RSH contains the rounded integer part of W,
 // as a twos complement number in the lower bits (that is, it may be negative).
-// That twos complement number (called N) is put into exp_GR_N.
+// That twos complement number (called N) is put into rN.
 
-// Since EXP_W_2TO56_RSH is scaled by 2^56, it must be multiplied by 2^-56
-// before the shift constant 1.10000 * 2^63 is subtracted to yield EXP_Nfloat.
-// Thus, EXP_Nfloat contains the floating point version of N
+// Since fW_2TO56_RSH is scaled by 2^56, it must be multiplied by 2^-56
+// before the shift constant 1.10000 * 2^63 is subtracted to yield fNfloat.
+// Thus, fNfloat contains the floating point version of N
 
-
-{ .mfi
-      nop.m 999
-(p12) fcmp.le.unc  p12,p0 = EXP_NORM_f8,EXP_MAX_DBL_UFLOW_ARG
-      nop.i 999
-}
 { .mfb
-      ldfpd      exp_P2, exp_P1  = [EXP_AD_P]                                  
-      fms.s1          EXP_Nfloat = EXP_W_2TO56_RSH, EXP_2TOM56, EXP_RSHF 
-(p11) br.cond.spnt L(EXP_CERTAIN_UNDERFLOW_ZERO)
-;;
+      ldfpd           fP3, fP2  = [rAD_P]
+      fms.s1          fNfloat = fW_2TO56_RSH, f2TOM56, fRSHF
+(p11) br.cond.spnt    EXP_CERTAIN_UNDERFLOW
 }
+;;
 
 { .mfi
-      getf.sig        exp_GR_N        = EXP_W_2TO56_RSH
-(p13) fcmp.lt.unc  p13,p0 = EXP_NORM_f8,EXP_MIN_DBL_NORM_ARG
-      nop.i 999
-;;
+      getf.sig        rN        = fW_2TO56_RSH
+      nop.f           0
+      nop.i           0
 }
+;;
 
+// rIndex_1 has index_1
+// rIndex_2_16 has index_2 * 16
+// rBiased_M has M
+// rIndex_1_16 has index_1 * 16
 
-// exp_GR_index_1 has index_1
-// exp_GR_index_2_16 has index_2 * 16
-// exp_GR_biased_M has M
-// exp_GR_index_1_16 has index_1 * 16
-
-// r2 has true M
+// rM has true M
+// r = x - Nfloat * ln2_by_128_hi
+// f = 1 - Nfloat * ln2_by_128_lo
 { .mfi
-      and            exp_GR_index_1 = 0x0f, exp_GR_N
-      fnma.s1    exp_r   = EXP_Nfloat, exp_ln2_by_128_hi, EXP_NORM_f8 
-      shr            r2 = exp_GR_N,  0x7
+      and             rIndex_1 = 0x0f, rN
+      fnma.s1         fR   = fNfloat, fLn2_by_128_hi, fNormX
+      shr             rM = rN,  0x7
 }
 { .mfi
-      and            exp_GR_index_2_16 = 0x70, exp_GR_N
-      fnma.s1    exp_f   = EXP_Nfloat, exp_ln2_by_128_lo, f1 
-      nop.i 999
-;;                            
+      and             rIndex_2_16 = 0x70, rN
+      fnma.s1         fF   = fNfloat, fLn2_by_128_lo, f1
+      nop.i           0
 }
+;;
 
-
-// EXP_AD_T1 has address of T1                           
-// EXP_AD_T2 has address if T2                            
+// rAD_T1 has address of T1
+// rAD_T2 has address if T2
 
 { .mmi
-      addl           exp_GR_biased_M = 0xffff, r2 
-      add            EXP_AD_T2 = EXP_AD_TB2, exp_GR_index_2_16 
-      shladd         EXP_AD_T1 = exp_GR_index_1, 4, EXP_AD_TB1
-;;                            
+      add             rBiased_M = rExp_bias, rM
+      add             rAD_T2 = rAD_TB2, rIndex_2_16
+      shladd          rAD_T1 = rIndex_1, 4, rAD_TB1
 }
-
+;;
 
 // Create Scale = 2^M
-// r = x - Nfloat * ln2_by_128_hi 
-// f = 1 - Nfloat * ln2_by_128_lo 
-
 { .mmi
-      setf.exp        EXP_2M = exp_GR_biased_M                              
-      ldfe       exp_T2  = [EXP_AD_T2]                                
-      nop.i 999
-;;
+      setf.exp        f2M = rBiased_M
+      ldfe            fT2  = [rAD_T2]
+      nop.i           0
 }
+;;
 
 // Load T1 and T2
 { .mfi
-      ldfe       exp_T1  = [EXP_AD_T1]                                
-      nop.f 999
-      nop.i 999
-;;
+      ldfe            fT1  = [rAD_T1]
+      fmpy.s0         fTmp = fLn2_by_128_lo, fLn2_by_128_lo // Force inexact
+      nop.i           0
 }
-
+;;
 
 { .mfi
-        nop.m 999
-        fma.s1           exp_rsq = exp_r, exp_r, f0 
-        nop.i 999
+      nop.m           0
+      fma.s1          fRsq = fR, fR, f0
+      nop.i           0
 }
 { .mfi
-        nop.m 999
-        fma.s1        exp_rP4pP3 = exp_r, exp_P4, exp_P3               
-        nop.i 999
-;;
+      nop.m           0
+      fma.s1          fP54 = fR, fP5, fP4
+      nop.i           0
 }
-
-
+;;
 
 { .mfi
-        nop.m 999
-        fma.s1           exp_rcube = exp_r, exp_rsq, f0 
-        nop.i 999 
+      nop.m           0
+      fcmp.lt.s1      p13,p0 = fNormX,fMIN_DBL_NORM_ARG
+      nop.i           0
 }
 { .mfi
-        nop.m 999
-        fma.s1        exp_P_lo  = exp_r, exp_rP4pP3, exp_P2            
-        nop.i 999
-;;
+      nop.m           0
+      fma.s1          fP32 = fR, fP3, fP2
+      nop.i           0
 }
-
+;;
 
 { .mfi
-        nop.m 999
-        fma.s1        exp_P_hi  = exp_rsq, exp_P1, exp_r              
-        nop.i 999
+      nop.m           0
+      fma.s1          fP5432  = fRsq, fP54, fP32
+      nop.i           0
 }
-{ .mfi
-        nop.m 999
-        fma.s1        exp_S2  = exp_f,exp_T2,f0                       
-        nop.i 999
 ;;
-}
 
 { .mfi
-        nop.m 999
-        fma.s1        exp_S1  = EXP_2M,exp_T1,f0                      
-        nop.i 999
-;;
+      nop.m           0
+      fma.s1          fS1  = f2M,fT1,f0
+      nop.i           0
 }
-
-
 { .mfi
-        nop.m 999
-        fma.s1        exp_P     = exp_rcube, exp_P_lo, exp_P_hi       
-        nop.i 999
-;;
+      nop.m           0
+      fma.s1          fS2  = fF,fT2,f0
+      nop.i           0
 }
+;;
 
 { .mfi
-        nop.m 999
-        fma.s1        exp_S   = exp_S1,exp_S2,f0                      
-        nop.i 999
-;;
+      nop.m           0
+      fma.s1          fP     = fRsq, fP5432, fR
+      nop.i           0
 }
-
-{ .bbb
-(p12)   br.cond.spnt  L(EXP_CERTAIN_UNDERFLOW)
-(p13)   br.cond.spnt  L(EXP_POSSIBLE_UNDERFLOW)
-(p14)   br.cond.spnt  L(EXP_POSSIBLE_OVERFLOW)
-;;
+{ .mfi
+      nop.m           0
+      fma.s1          fS   = fS1,fS2,f0
+      nop.i           0
 }
+;;
 
+{ .mbb
+      nop.m           0
+(p13) br.cond.spnt    EXP_POSSIBLE_UNDERFLOW
+(p14) br.cond.spnt    EXP_POSSIBLE_OVERFLOW
+}
+;;
 
 { .mfb
-        nop.m 999
-        fma.d      f8 = exp_S, exp_P, exp_S 
-        br.ret.sptk     b0 ;;               // Normal path exit 
+      nop.m           0
+      fma.d.s0        f8 = fS, fP, fS
+      br.ret.sptk     b0                  // Normal path exit
 }
+;;
 
 
-L(EXP_POSSIBLE_OVERFLOW): 
+EXP_POSSIBLE_OVERFLOW:
 
-// We got an answer. EXP_MAX_DBL_NORM_ARG < x < EXP_MIN_DBL_OFLOW_ARG
-// overflow is a possibility, not a certainty
+// Here if fMAX_DBL_NORM_ARG < x < fMIN_DBL_OFLOW_ARG
+// This cannot happen if input is a double, only if input higher precision.
+// Overflow is a possibility, not a certainty.
 
-{ .mfi
-	nop.m 999
-        fsetc.s2 0x7F,0x42                                          
-	nop.i 999 ;;
-}
+// Recompute result using status field 2 with user's rounding mode,
+// and wre set.  If result is larger than largest double, then we have
+// overflow
 
 { .mfi
-	nop.m 999
-        fma.d.s2      exp_wre_urm_f8 = exp_S, exp_P, exp_S          
-	nop.i 999 ;;
+      mov             rGt_ln  = 0x103ff // Exponent for largest dbl + 1 ulp
+      fsetc.s2        0x7F,0x42         // Get user's round mode, set wre
+      nop.i           0
 }
-
-// We define an overflow when the answer with
-//    WRE set
-//    user-defined rounding mode
-// is ldn +1
-
-// Is the exponent 1 more than the largest double?
-// If so, go to ERROR RETURN, else get the answer and 
-// leave.
-
-// Largest double is 7FE (biased double)
-//                   7FE - 3FF + FFFF = 103FE
-// Create + largest_double_plus_ulp
-// Create - largest_double_plus_ulp
-// Calculate answer with WRE set.
-
-// Cases when answer is ldn+1  are as follows:
-//  ldn                   ldn+1
-// --+----------|----------+------------
-//              | 
-//    +inf          +inf      -inf
-//                  RN         RN
-//                             RZ 
+;;
 
 { .mfi
-	nop.m 999
-        fsetc.s2 0x7F,0x40                                          
-        mov           exp_GR_gt_ln  = 0x103ff ;;                      
+      setf.exp        fGt_pln = rGt_ln  // Create largest double + 1 ulp
+      fma.d.s2        fWre_urm_f8 = fS, fP, fS    // Result with wre set
+      nop.i           0
 }
+;;
 
 { .mfi
-        setf.exp      exp_gt_pln    = exp_GR_gt_ln                 
-	nop.f 999
-	nop.i 999 ;;
+      nop.m           0
+      fsetc.s2        0x7F,0x40                   // Turn off wre in sf2
+      nop.i           0
 }
+;;
 
 { .mfi
-	nop.m 999
-       fcmp.ge.unc.s1 p6, p0 =  exp_wre_urm_f8, exp_gt_pln 	  
-	nop.i 999 ;;
+      nop.m           0
+      fcmp.ge.s1      p6, p0 =  fWre_urm_f8, fGt_pln // Test for overflow
+      nop.i           0
 }
+;;
 
 { .mfb
-	nop.m 999
-	nop.f 999
-(p6)   br.cond.spnt L(EXP_CERTAIN_OVERFLOW) ;; // Branch if really overflow
+      nop.m           0
+      nop.f           0
+(p6)  br.cond.spnt    EXP_CERTAIN_OVERFLOW // Branch if overflow
 }
+;;
 
 { .mfb
-	nop.m 999
-       fma.d        f8 = exp_S, exp_P, exp_S                      
-       br.ret.sptk     b0 ;;             // Exit if really no overflow
+      nop.m           0
+      fma.d.s0        f8 = fS, fP, fS
+      br.ret.sptk     b0                     // Exit if really no overflow
 }
+;;
 
-L(EXP_CERTAIN_OVERFLOW):
+EXP_CERTAIN_OVERFLOW:
 { .mmi
-      sub   exp_GR_17ones_m1 = exp_GR_17ones, r0, 1 ;;
-      setf.exp     f9 = exp_GR_17ones_m1
-      nop.i 999 ;;
+      sub             rTmp = rExp_mask, r0, 1
+;;
+      setf.exp        fTmp = rTmp
+      nop.i           0
 }
+;;
 
 { .mfi
-      nop.m 999
-      fmerge.s FR_X = f8,f8
-      nop.i 999
+      alloc           r32=ar.pfs,1,4,4,0
+      fmerge.s        FR_X = f8,f8
+      nop.i           0
 }
 { .mfb
-      mov        GR_Parameter_TAG = 14
-      fma.d       FR_RESULT = f9, f9, f0    // Set I,O and +INF result
-      br.cond.sptk  __libm_error_region ;;                             
+      mov             GR_Parameter_TAG = 14
+      fma.d.s0        FR_RESULT = fTmp, fTmp, f0    // Set I,O and +INF result
+      br.cond.sptk    __libm_error_region
 }
+;;
 
-L(EXP_POSSIBLE_UNDERFLOW): 
+EXP_POSSIBLE_UNDERFLOW:
 
-// We got an answer. EXP_MAX_DBL_UFLOW_ARG < x < EXP_MIN_DBL_NORM_ARG
-// underflow is a possibility, not a certainty
+// Here if fMAX_DBL_ZERO_ARG < x < fMIN_DBL_NORM_ARG
+// Underflow is a possibility, not a certainty
 
 // We define an underflow when the answer with
 //    ftz set
@@ -709,81 +635,111 @@ L(EXP_POSSIBLE_UNDERFLOW):
 //    largest dn                               smallest normal
 
 { .mfi
-	nop.m 999
-       fsetc.s2 0x7F,0x41                                          
-	nop.i 999 ;;
+      nop.m           0
+      fsetc.s2        0x7F,0x41                // Get user's round mode, set ftz
+      nop.i           0
 }
+;;
+
 { .mfi
-	nop.m 999
-       fma.d.s2      exp_ftz_urm_f8 = exp_S, exp_P, exp_S          
-	nop.i 999 ;;
+      nop.m           0
+      fma.d.s2        fFtz_urm_f8 = fS, fP, fS // Result with ftz set
+      nop.i           0
 }
+;;
+
 { .mfi
-	nop.m 999
-       fsetc.s2 0x7F,0x40                                          
-	nop.i 999 ;;
+      nop.m           0
+      fsetc.s2        0x7F,0x40                // Turn off ftz in sf2
+      nop.i           0
 }
+;;
+
 { .mfi
-	nop.m 999
-       fcmp.eq.unc.s1 p6, p0 =  exp_ftz_urm_f8, f0 	          
-	nop.i 999 ;;
+      nop.m           0
+      fcmp.eq.s1      p6, p7 = fFtz_urm_f8, f0 // Test for underflow
+      nop.i           0
 }
-{ .mfb
-	nop.m 999
-	nop.f 999
-(p6)   br.cond.spnt L(EXP_CERTAIN_UNDERFLOW) ;; // Branch if really underflow
+{ .mfi
+      nop.m           0
+      fma.d.s0        f8 = fS, fP, fS          // Compute result, set I, maybe U
+      nop.i           0
 }
-{ .mfb
-	nop.m 999
-       fma.d        f8 = exp_S, exp_P, exp_S                      
-       br.ret.sptk     b0 ;;                // Exit if really no underflow
+;;
+
+{ .mbb
+      nop.m           0
+(p6)  br.cond.spnt    EXP_UNDERFLOW_COMMON     // Branch if really underflow
+(p7)  br.ret.sptk     b0                       // Exit if really no underflow
 }
+;;
 
-L(EXP_CERTAIN_UNDERFLOW):
-{ .mfi
-      nop.m 999
-      fmerge.s FR_X = f8,f8
-      nop.i 999
+EXP_CERTAIN_UNDERFLOW:
+// Here if  x < fMAX_DBL_ZERO_ARG
+// Result will be zero (or smallest denorm if round to +inf) with I, U set
+{ .mmi
+      mov             rTmp = 1
+;;
+      setf.exp        fTmp = rTmp               // Form small normal
+      nop.i           0
 }
+;;
+
 { .mfb
-      mov        GR_Parameter_TAG = 15
-      fma.d       FR_RESULT  = exp_S, exp_P, exp_S // Set I,U and tiny result
-      br.cond.sptk  __libm_error_region ;;                             
+      nop.m           0
+      fma.d.s0        f8 = fTmp, fTmp, f0 // Set I,U, tiny (+0.0) result
+      br.cond.sptk    EXP_UNDERFLOW_COMMON
 }
+;;
 
-L(EXP_CERTAIN_UNDERFLOW_ZERO):
-{ .mmi
-      mov   exp_GR_one = 1 ;;
-      setf.exp     f9 = exp_GR_one
-      nop.i 999 ;;
+EXP_UNDERFLOW_COMMON:
+// Determine if underflow result is zero or nonzero
+{ .mfi
+      alloc           r32=ar.pfs,1,4,4,0
+      fcmp.eq.s1      p6, p0 =  f8, f0
+      nop.i           0
 }
+;;
 
-{ .mfi
-      nop.m 999
-      fmerge.s FR_X = f8,f8
-      nop.i 999
+{ .mfb
+      nop.m           0
+      fmerge.s        FR_X = fNormX,fNormX
+(p6)  br.cond.spnt    EXP_UNDERFLOW_ZERO
 }
+;;
+
+EXP_UNDERFLOW_NONZERO:
+// Here if  x < fMIN_DBL_NORM_ARG and result nonzero;
+// I, U are set
 { .mfb
-      mov        GR_Parameter_TAG = 15
-      fma.d       FR_RESULT = f9, f9, f0    // Set I,U and tiny (+0.0) result
-      br.cond.sptk  __libm_error_region ;;                             
+      mov             GR_Parameter_TAG = 15
+      nop.f           0                         // FR_RESULT already set
+      br.cond.sptk    __libm_error_region
 }
+;;
 
-.endp exp
-ASM_SIZE_DIRECTIVE(exp)
+EXP_UNDERFLOW_ZERO:
+// Here if x < fMIN_DBL_NORM_ARG and result zero;
+// I, U are set
+{ .mfb
+      mov             GR_Parameter_TAG = 15
+      nop.f           0                         // FR_RESULT already set
+      br.cond.sptk    __libm_error_region
+}
+;;
 
+GLOBAL_IEEE754_END(exp)
 
-.proc __libm_error_region
-__libm_error_region:
+LOCAL_LIBM_ENTRY(__libm_error_region)
 .prologue
 { .mfi
         add   GR_Parameter_Y=-32,sp             // Parameter 2 value
         nop.f 0
 .save   ar.pfs,GR_SAVE_PFS
-        mov  GR_SAVE_PFS=ar.pfs                 // Save ar.pfs 
+        mov  GR_SAVE_PFS=ar.pfs                 // Save ar.pfs
 }
 { .mfi
-.fframe 64 
+.fframe 64
         add sp=-64,sp                           // Create new stack
         nop.f 0
         mov GR_SAVE_GP=gp                       // Save gp
@@ -791,24 +747,24 @@ __libm_error_region:
 { .mmi
         stfd [GR_Parameter_Y] = FR_Y,16         // STORE Parameter 2 on stack
         add GR_Parameter_X = 16,sp              // Parameter 1 address
-.save   b0, GR_SAVE_B0                      
-        mov GR_SAVE_B0=b0                       // Save b0 
+.save   b0, GR_SAVE_B0
+        mov GR_SAVE_B0=b0                       // Save b0
 };;
 .body
 { .mib
-        stfd [GR_Parameter_X] = FR_X                  // STORE Parameter 1 on stack 
-        add   GR_Parameter_RESULT = 0,GR_Parameter_Y  // Parameter 3 address 
-	nop.b 0                                      
+        stfd [GR_Parameter_X] = FR_X            // STORE Parameter 1 on stack
+        add   GR_Parameter_RESULT = 0,GR_Parameter_Y  // Parameter 3 address
+	nop.b 0
 }
 { .mib
-        stfd [GR_Parameter_Y] = FR_RESULT             // STORE Parameter 3 on stack
-        add   GR_Parameter_Y = -16,GR_Parameter_Y  
-        br.call.sptk b0=__libm_error_support#         // Call error handling function
+        stfd [GR_Parameter_Y] = FR_RESULT       // STORE Parameter 3 on stack
+        add   GR_Parameter_Y = -16,GR_Parameter_Y
+        br.call.sptk b0=__libm_error_support#   // Call error handling function
 };;
 { .mmi
-        nop.m 0
-        nop.m 0
         add   GR_Parameter_RESULT = 48,sp
+        nop.m 0
+        nop.i 0
 };;
 { .mmi
         ldfd  f8 = [GR_Parameter_RESULT]       // Get return result off stack
@@ -817,12 +773,11 @@ __libm_error_region:
         mov   b0 = GR_SAVE_B0                  // Restore return address
 };;
 { .mib
-        mov   gp = GR_SAVE_GP                  // Restore gp 
+        mov   gp = GR_SAVE_GP                  // Restore gp
         mov   ar.pfs = GR_SAVE_PFS             // Restore ar.pfs
         br.ret.sptk     b0                     // Return
-};; 
+};;
 
-.endp __libm_error_region
-ASM_SIZE_DIRECTIVE(__libm_error_region)
+LOCAL_LIBM_END(__libm_error_region)
 .type   __libm_error_support#,@function
 .global __libm_error_support#
diff --git a/sysdeps/ia64/fpu/e_exp10.S b/sysdeps/ia64/fpu/e_exp10.S
new file mode 100644
index 0000000000..1cc5bef406
--- /dev/null
+++ b/sysdeps/ia64/fpu/e_exp10.S
@@ -0,0 +1,602 @@
+.file "exp10.s"
+
+
+// Copyright (c) 2000 - 2003, Intel Corporation
+// All rights reserved.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
+//
+// Redistribution and use in source and binary forms, with or without
+// modification, are permitted provided that the following conditions are
+// met:
+//
+// * Redistributions of source code must retain the above copyright
+// notice, this list of conditions and the following disclaimer.
+//
+// * Redistributions in binary form must reproduce the above copyright
+// notice, this list of conditions and the following disclaimer in the
+// documentation and/or other materials provided with the distribution.
+//
+// * The name of Intel Corporation may not be used to endorse or promote
+// products derived from this software without specific prior written
+// permission.
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
+// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
+// OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+//
+// Intel Corporation is the author of this code, and requests that all
+// problem reports or change requests be submitted to it directly at
+// http: //www.intel.com/software/products/opensource/libraries/num.htm.
+//
+// History
+//==============================================================
+// 08/25/00 Initial version
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 09/06/02 Improved performance; no inexact flags on exact cases
+// 01/29/03 Added missing } to bundle templates
+//
+// API
+//==============================================================
+// double exp10(double)
+//
+// Overview of operation
+//==============================================================
+// Background
+//
+// Implementation
+//
+// Let x= (K + fh + fl + r)/log2(10), where
+// K is an integer, fh= 0.b1 b2 b3 b4 b5,
+// fl= 2^{-5}* 0.b6 b7 b8 b8 b10 (fh, fl >= 0),
+// and |r|<2^{-11}
+// Th is a table that stores 2^fh (32 entries) rounded to
+// double extended precision (only mantissa is stored)
+// Tl is a table that stores 2^fl (32 entries) rounded to
+// double extended precision (only mantissa is stored)
+//
+// 10^x is approximated as
+// 2^K * Th [ f ] * Tl [ f ] * (1+c1*e+c1*r+c2*r^2+c3*r^3+c4*r^4),
+// where e= (x*log2(10)_hi-RN(x*log2(10)_hi))+log2(10)_lo*x
+
+// Note there are only 22 non-zero values that produce an exact result:
+//  1.0, 2.0, ... 22.0.
+// We test for these cases and use s1 to avoid setting the inexact flag.
+
+// Special values
+//==============================================================
+// exp10(0)= 1
+// exp10(+inf)= inf
+// exp10(-inf)= 0
+//
+
+// Registers used
+//==============================================================
+// r2-r3, r14-r40
+// f6-f15, f32-f51
+// p6-p9, p12
+//
+
+
+GR_TBL_START        = r2
+GR_LOG_TBL          = r3
+
+GR_OF_LIMIT         = r14
+GR_UF_LIMIT         = r15
+GR_EXP_CORR         = r16
+GR_F_low            = r17
+GR_F_high           = r18
+GR_K                = r19
+GR_Flow_ADDR        = r20
+
+GR_BIAS             = r21
+GR_Fh               = r22
+GR_Fh_ADDR          = r23
+GR_EXPMAX           = r24
+GR_BIAS53           = r25
+
+GR_ROUNDVAL         = r26
+GR_MASK             = r27
+GR_KF0              = r28
+GR_MASK_low         = r29
+GR_COEFF_START      = r30
+GR_exact_limit      = r31
+
+GR_SAVE_B0          = r33
+GR_SAVE_PFS         = r34
+GR_SAVE_GP          = r35
+GR_SAVE_SP          = r36
+
+GR_Parameter_X      = r37
+GR_Parameter_Y      = r38
+GR_Parameter_RESULT = r39
+GR_Parameter_TAG    = r40
+
+
+FR_X                = f10
+FR_Y                = f1
+FR_RESULT           = f8
+
+
+FR_COEFF1           = f6
+FR_COEFF2           = f7
+FR_R                = f9
+FR_LOG2_10          = f10
+
+FR_2P53             = f11
+FR_KF0              = f12
+FR_COEFF3           = f13
+FR_COEFF4           = f14
+FR_UF_LIMIT         = f15
+
+FR_OF_LIMIT         = f32
+FR_DX_L210          = f33
+FR_ROUNDVAL         = f34
+FR_KF               = f35
+
+FR_2_TO_K           = f36
+FR_T_low            = f37
+FR_T_high           = f38
+FR_P34              = f39
+FR_R2               = f40
+
+FR_P12              = f41
+FR_T_low_K          = f42
+FR_P14              = f43
+FR_T                = f44
+FR_P                = f45
+
+FR_L2_10_low        = f46
+FR_L2_10_high       = f47
+FR_E0               = f48
+FR_E                = f49
+FR_exact_limit      = f50
+
+FR_int_x            = f51
+
+
+// Data tables
+//==============================================================
+
+RODATA
+
+.align 16
+
+LOCAL_OBJECT_START(poly_coeffs)
+
+data8 0xd49a784bcd1b8afe, 0x00003fcb // log2(10)*2^(10-63)
+data8 0x9257edfe9b5fb698, 0x3fbf // log2(10)_low (bits 64...127)
+data8 0x3fac6b08d704a0c0, 0x3f83b2ab6fba4e77 // C_3 and C_4
+data8 0xb17217f7d1cf79ab, 0x00003ffe // C_1
+data8 0xf5fdeffc162c7541, 0x00003ffc // C_2
+LOCAL_OBJECT_END(poly_coeffs)
+
+
+LOCAL_OBJECT_START(T_table)
+
+// 2^{0.00000 b6 b7 b8 b9 b10}
+data8 0x8000000000000000, 0x8016302f17467628
+data8 0x802c6436d0e04f50, 0x80429c17d77c18ed
+data8 0x8058d7d2d5e5f6b0, 0x806f17687707a7af
+data8 0x80855ad965e88b83, 0x809ba2264dada76a
+data8 0x80b1ed4fd999ab6c, 0x80c83c56b50cf77f
+data8 0x80de8f3b8b85a0af, 0x80f4e5ff089f763e
+data8 0x810b40a1d81406d4, 0x81219f24a5baa59d
+data8 0x813801881d886f7b, 0x814e67cceb90502c
+data8 0x8164d1f3bc030773, 0x817b3ffd3b2f2e47
+data8 0x8191b1ea15813bfd, 0x81a827baf7838b78
+data8 0x81bea1708dde6055, 0x81d51f0b8557ec1c
+data8 0x81eba08c8ad4536f, 0x820225f44b55b33b
+data8 0x8218af4373fc25eb, 0x822f3c7ab205c89a
+data8 0x8245cd9ab2cec048, 0x825c62a423d13f0c
+data8 0x8272fb97b2a5894c, 0x828998760d01faf3
+data8 0x82a0393fe0bb0ca8, 0x82b6ddf5dbc35906
+//
+//
+// 2^{0.b1 b2 b3 b4 b5}
+data8 0x8000000000000000, 0x82cd8698ac2ba1d7
+data8 0x85aac367cc487b14, 0x88980e8092da8527
+data8 0x8b95c1e3ea8bd6e6, 0x8ea4398b45cd53c0
+data8 0x91c3d373ab11c336, 0x94f4efa8fef70961
+data8 0x9837f0518db8a96f, 0x9b8d39b9d54e5538
+data8 0x9ef5326091a111ad, 0xa27043030c496818
+data8 0xa5fed6a9b15138ea, 0xa9a15ab4ea7c0ef8
+data8 0xad583eea42a14ac6, 0xb123f581d2ac258f
+data8 0xb504f333f9de6484, 0xb8fbaf4762fb9ee9
+data8 0xbd08a39f580c36be, 0xc12c4cca66709456
+data8 0xc5672a115506dadd, 0xc9b9bd866e2f27a2
+data8 0xce248c151f8480e3, 0xd2a81d91f12ae45a
+data8 0xd744fccad69d6af4, 0xdbfbb797daf23755
+data8 0xe0ccdeec2a94e111, 0xe5b906e77c8348a8
+data8 0xeac0c6e7dd24392e, 0xefe4b99bdcdaf5cb
+data8 0xf5257d152486cc2c, 0xfa83b2db722a033a
+LOCAL_OBJECT_END(T_table)
+
+
+
+.section .text
+GLOBAL_IEEE754_ENTRY(exp10)
+
+
+{.mfi
+       alloc r32= ar.pfs, 1, 4, 4, 0
+       // will continue only for non-zero normal/denormal numbers
+       fclass.nm.unc p12, p7= f8, 0x1b
+       mov GR_BIAS53= 0xffff+63-10
+}
+{.mlx
+       // GR_TBL_START= pointer to log2(10), C_1...C_4 followed by T_table
+       addl GR_TBL_START= @ltoff(poly_coeffs), gp
+       movl GR_ROUNDVAL= 0x3fc00000             // 1.5 (SP)
+}
+;;
+
+{.mfi
+       ld8 GR_COEFF_START= [ GR_TBL_START ]     // Load pointer to coeff table
+       fcmp.lt.s1 p6, p8= f8, f0                // X<0 ?
+       nop.i 0
+}
+;;
+
+{.mlx
+       setf.exp FR_2P53= GR_BIAS53              // 2^{63-10}
+       movl GR_UF_LIMIT= 0xc07439b746e36b52     // (-2^10-51) / log2(10)
+}
+{.mlx
+       setf.s FR_ROUNDVAL= GR_ROUNDVAL
+       movl GR_OF_LIMIT= 0x40734413509f79fe     // Overflow threshold
+}
+;;
+
+{.mib
+       ldfe FR_LOG2_10= [ GR_COEFF_START ], 16  // load log2(10)*2^(10-63)
+       nop.i 0
+ (p12) br.cond.spnt SPECIAL_exp10               // Branch if nan, inf, zero
+}
+;;
+
+{.mmf
+       ldfe FR_L2_10_low= [ GR_COEFF_START ], 16 // load log2(10)_low
+       setf.d FR_OF_LIMIT= GR_OF_LIMIT           // Set overflow limit
+       fma.s0 f8= f8, f1, f0                     // normalize x
+}
+;;
+
+{.mfi
+       ldfpd FR_COEFF3, FR_COEFF4= [ GR_COEFF_START ], 16 // load C_3, C_4
+ (p8)  fcvt.fx.s1 FR_int_x = f8                   // Convert x to integer
+       nop.i 0
+}
+{.mfi
+       setf.d FR_UF_LIMIT= GR_UF_LIMIT            // Set underflow limit
+       fma.s1 FR_KF0= f8, FR_LOG2_10, FR_ROUNDVAL // y= (x*log2(10)*2^10 +
+                                                  //    1.5*2^63) * 2^(-63)
+       mov GR_EXP_CORR= 0xffff-126
+}
+;;
+
+{.mfi
+       nop.m 0
+       fma.s1 FR_L2_10_high= FR_LOG2_10, FR_2P53, f0 // FR_LOG2_10= log2(10)_hi
+       nop.i 0
+}
+;;
+
+{.mfi
+       ldfe FR_COEFF1= [ GR_COEFF_START ], 16    // load C_1
+       fms.s1 FR_KF= FR_KF0, f1, FR_ROUNDVAL     // (K+f)*2^(10-63)
+       mov GR_MASK= 1023
+}
+;;
+
+{.mfi
+       ldfe FR_COEFF2= [ GR_COEFF_START ], 16    // load C_2
+       fma.s1 FR_LOG2_10= f8, FR_L2_10_high, f0  // y0= x*log2(10)_hi
+       mov GR_MASK_low= 31
+}
+;;
+
+{.mlx
+       getf.sig GR_KF0= FR_KF0                   // (K+f)*2^10= round_to_int(y)
+ (p8)  movl GR_exact_limit= 0x41b00000           // Largest x for exact result,
+                                                 //  +22.0
+}
+;;
+
+{.mfi
+       add GR_LOG_TBL= 256, GR_COEFF_START       // Pointer to high T_table
+       fcmp.gt.s1 p12, p7= f8, FR_OF_LIMIT       // x>overflow threshold ?
+       nop.i 0
+}
+;;
+
+{.mfi
+ (p8)  setf.s FR_exact_limit = GR_exact_limit    // Largest x for exact result
+ (p8)  fcvt.xf FR_int_x = FR_int_x               // Integral part of x
+       shr GR_K= GR_KF0, 10                      // K
+}
+{.mfi
+       and GR_F_high= GR_MASK, GR_KF0            // f_high*32
+       fnma.s1 FR_R= FR_KF, FR_2P53, FR_LOG2_10  // r= x*log2(10)-2^{63-10}*
+                                                 //    [ (K+f)*2^{10-63} ]
+       and GR_F_low= GR_KF0, GR_MASK_low         // f_low
+}
+;;
+
+{.mmi
+       shladd GR_Flow_ADDR= GR_F_low, 3, GR_COEFF_START // address of 2^{f_low}
+       add GR_BIAS= GR_K, GR_EXP_CORR            // K= bias-2*63
+       shr GR_Fh= GR_F_high, 5                   // f_high
+}
+;;
+
+{.mfi
+       setf.exp FR_2_TO_K= GR_BIAS               // 2^{K-126}
+ (p7)  fcmp.lt.s1 p12, p7= f8, FR_UF_LIMIT       // x<underflow threshold ?
+       shladd GR_Fh_ADDR= GR_Fh, 3, GR_LOG_TBL   // address of 2^{f_high}
+}
+{.mfi
+       ldf8 FR_T_low= [ GR_Flow_ADDR ]           // load T_low= 2^{f_low}
+       fms.s1 FR_DX_L210= f8, FR_L2_10_high, FR_LOG2_10 // x*log2(10)_hi-
+                                                 //        RN(x*log2(10)_hi)
+       nop.i 0
+}
+;;
+
+{.mfi
+       ldf8 FR_T_high= [ GR_Fh_ADDR ]            // load T_high= 2^{f_high}
+       fma.s1 FR_P34= FR_COEFF4, FR_R, FR_COEFF3 // P34= C_3+C_4*r
+       nop.i 0
+}
+{.mfb
+       nop.m 0
+       fma.s1 FR_R2= FR_R, FR_R, f0              // r*r
+ (p12) br.cond.spnt OUT_RANGE_exp10
+}
+;;
+
+{.mfi
+       nop.m 0
+       // e= (x*log2(10)_hi-RN(x*log2(10)_hi))+log2(10)_lo*x
+       fma.s1 FR_E0= f8, FR_L2_10_low, FR_DX_L210
+       cmp.eq p7,p9= r0,r0                       // Assume inexact result
+}
+{.mfi
+       nop.m 0
+       fma.s1 FR_P12= FR_COEFF2, FR_R, FR_COEFF1 // P12= C_1+C_2*r
+       nop.i 0
+}
+;;
+
+{.mfi
+       nop.m 0
+ (p8)  fcmp.eq.s1 p9,p7= FR_int_x, f8            // Test x positive integer
+       nop.i 0
+}
+{.mfi
+       nop.m 0
+       fma.s1 FR_T_low_K= FR_T_low, FR_2_TO_K, f0 // T= 2^{K-126}*T_low
+       nop.i 0
+}
+;;
+
+{.mfi
+       nop.m 0
+       fma.s1 FR_E= FR_E0, FR_COEFF1, f0          // E= C_1*e
+       nop.i 0
+}
+{.mfi
+       nop.m 0
+       fma.s1 FR_P14= FR_R2, FR_P34, FR_P12       // P14= P12+r2*P34
+       nop.i 0
+}
+;;
+
+// If x a positive integer, will it produce an exact result?
+//   p7 result will be inexact
+//   p9 result will be exact
+{.mfi
+       nop.m 0
+ (p9)  fcmp.le.s1 p9,p7= f8, FR_exact_limit       // Test x gives exact result
+       nop.i 0
+}
+{.mfi
+       nop.m 0
+       fma.s1 FR_T= FR_T_low_K, FR_T_high, f0     // T= T*T_high
+       nop.i 0
+}
+;;
+
+{.mfi
+       nop.m 0
+       fma.s1 FR_P= FR_P14, FR_R, FR_E            // P= P14*r+E
+       nop.i 0
+}
+;;
+
+.pred.rel "mutex",p7,p9
+{.mfi
+       nop.m 0
+ (p7)  fma.d.s0 f8= FR_P, FR_T, FR_T              // result= T+T*P, inexact set
+       nop.i 0
+}
+{.mfb
+       nop.m 0
+ (p9)  fma.d.s1 f8= FR_P, FR_T, FR_T              // result= T+T*P, exact use s1
+       br.ret.sptk b0                             // return
+}
+;;
+
+
+SPECIAL_exp10:
+{.mfi
+       nop.m 0
+       fclass.m p6, p0= f8, 0x22                  // x= -Infinity ?
+       nop.i 0
+}
+;;
+
+{.mfi
+       nop.m 0
+       fclass.m p7, p0= f8, 0x21                  // x= +Infinity ?
+       nop.i 0
+}
+;;
+
+{.mfi
+       nop.m 0
+       fclass.m p8, p0= f8, 0x7                   // x= +/-Zero ?
+       nop.i 0
+}
+{.mfb
+       nop.m 0
+ (p6)  mov f8= f0                                 // exp10(-Infinity)= 0
+ (p6)  br.ret.spnt b0
+}
+;;
+
+{.mfb
+       nop.m 0
+       nop.f 0
+ (p7)  br.ret.spnt b0                             // exp10(+Infinity)= +Infinity
+}
+;;
+
+{.mfb
+       nop.m 0
+ (p8)  mov f8= f1                                 // exp10(+/-0)= 1
+ (p8)  br.ret.spnt b0
+}
+;;
+
+{.mfb
+       nop.m 0
+       fma.d.s0 f8= f8, f1, f0                    // Remaining cases: NaNs
+       br.ret.sptk b0
+}
+;;
+
+
+OUT_RANGE_exp10:
+
+// overflow: p8= 1
+
+{.mii
+ (p8)  mov GR_EXPMAX= 0x1fffe
+       nop.i 0
+       nop.i 0
+}
+;;
+
+
+{.mmb
+ (p8)  mov GR_Parameter_TAG= 166
+ (p8)  setf.exp FR_R= GR_EXPMAX
+       nop.b 999
+}
+;;
+
+{.mfi
+       nop.m 999
+ (p8)  fma.d.s0 f8= FR_R, FR_R, f0                // Create overflow
+       nop.i 999
+}
+// underflow: p6= 1
+{.mii
+       nop.m 0
+ (p6)  mov GR_EXPMAX= 1
+       nop.i 0
+}
+;;
+
+{.mmb
+       nop.m 0
+ (p6)  setf.exp FR_R= GR_EXPMAX
+       nop.b 999
+}
+;;
+
+{.mfb
+       nop.m 999
+ (p6)  fma.d.s0 f8= FR_R, FR_R, f0                // Create underflow
+ (p6)  br.ret.sptk b0                  // will not call libm_error for underflow
+}
+;;
+
+GLOBAL_IEEE754_END(exp10)
+weak_alias (exp10, pow10)
+
+LOCAL_LIBM_ENTRY(__libm_error_region)
+
+.prologue
+{.mfi
+       add GR_Parameter_Y= -32, sp                // Parameter 2 value
+       nop.f 0
+.save ar.pfs, GR_SAVE_PFS
+       mov GR_SAVE_PFS= ar.pfs                    // Save ar.pfs
+}
+
+{.mfi
+.fframe 64
+       add sp= -64, sp                            // Create new stack
+       nop.f 0
+       mov GR_SAVE_GP= gp                         // Save gp
+}
+;;
+
+{.mmi
+       stfd [ GR_Parameter_Y ]= FR_Y, 16          // STORE Parameter 2 on stack
+       add GR_Parameter_X= 16, sp                 // Parameter 1 address
+.save b0, GR_SAVE_B0
+       mov GR_SAVE_B0= b0                         // Save b0
+}
+;;
+
+.body
+{.mib
+       stfd [ GR_Parameter_X ]= FR_X              // STORE Parameter 1 on stack
+       add GR_Parameter_RESULT= 0, GR_Parameter_Y // Parameter 3 address
+       nop.b 0
+}
+{.mib
+       stfd [ GR_Parameter_Y ]= FR_RESULT         // STORE Parameter 3 on stack
+       add GR_Parameter_Y= -16, GR_Parameter_Y
+       br.call.sptk b0= __libm_error_support#    // Call error handling function
+}
+;;
+
+{.mmi
+       add GR_Parameter_RESULT= 48, sp
+       nop.m 0
+       nop.i 0
+}
+;;
+
+{.mmi
+       ldfd f8= [ GR_Parameter_RESULT ]          // Get return result off stack
+.restore sp
+       add sp= 64, sp                            // Restore stack pointer
+       mov b0= GR_SAVE_B0                        // Restore return address
+}
+;;
+
+{.mib
+       mov gp= GR_SAVE_GP                        // Restore gp
+       mov ar.pfs= GR_SAVE_PFS                   // Restore ar.pfs
+       br.ret.sptk b0                            // Return
+}
+;;
+
+
+LOCAL_LIBM_END(__libm_error_region)
+
+.type __libm_error_support#, @function
+.global __libm_error_support#
diff --git a/sysdeps/ia64/fpu/e_exp10f.S b/sysdeps/ia64/fpu/e_exp10f.S
new file mode 100644
index 0000000000..f069b3afab
--- /dev/null
+++ b/sysdeps/ia64/fpu/e_exp10f.S
@@ -0,0 +1,561 @@
+.file "exp10f.s"
+
+
+// Copyright (c) 2000 - 2003, Intel Corporation
+// All rights reserved.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
+//
+// Redistribution and use in source and binary forms, with or without
+// modification, are permitted provided that the following conditions are
+// met:
+//
+// * Redistributions of source code must retain the above copyright
+// notice, this list of conditions and the following disclaimer.
+//
+// * Redistributions in binary form must reproduce the above copyright
+// notice, this list of conditions and the following disclaimer in the
+// documentation and/or other materials provided with the distribution.
+//
+// * The name of Intel Corporation may not be used to endorse or promote
+// products derived from this software without specific prior written
+// permission.
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
+// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
+// OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+//
+// Intel Corporation is the author of this code, and requests that all
+// problem reports or change requests be submitted to it directly at
+// http: //www.intel.com/software/products/opensource/libraries/num.htm.
+//
+// History
+//==============================================================
+// 08/25/00 Initial version
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 09/06/02 Improved performance and accuracy; no inexact flags on exact cases
+// 01/29/03 Added missing } to bundle templates
+//
+// API
+//==============================================================
+// float exp10f(float)
+//
+// Overview of operation
+//==============================================================
+// Background
+//
+// Implementation
+//
+// Let x= (K + fh + fl + r)/log2(10), where
+// K is an integer, fh= 0.b1 b2 b3 b4 b5,
+// fl= 2^{-5}* 0.b6 b7 b8 b8 b10 (fh, fl >= 0),
+// and |r|<2^{-11}
+// Th is a table that stores 2^fh (32 entries) rounded to
+// double extended precision (only mantissa is stored)
+// Tl is a table that stores 2^fl (32 entries) rounded to
+// double extended precision (only mantissa is stored)
+//
+// 10^x is approximated as
+// 2^K * Th [ f ] * Tl [ f ] * (1+c1*r+c2*r^2)
+
+// Note there are only 10 non-zero values that produce an exact result:
+//  1.0, 2.0, ... 10.0.
+// We test for these cases and use s1 to avoid setting the inexact flag.
+
+// Special values
+//==============================================================
+// exp10(0)= 1
+// exp10(+inf)= inf
+// exp10(-inf)= 0
+//
+
+// Registers used
+//==============================================================
+// r2-r3, r14-r40
+// f6-f15, f32-f51
+// p6-p9, p12
+//
+
+
+GR_TBL_START        = r2
+GR_LOG_TBL          = r3
+
+GR_OF_LIMIT         = r14
+GR_UF_LIMIT         = r15
+GR_EXP_CORR         = r16
+GR_F_low            = r17
+GR_F_high           = r18
+GR_K                = r19
+GR_Flow_ADDR        = r20
+
+GR_BIAS             = r21
+GR_Fh               = r22
+GR_Fh_ADDR          = r23
+GR_EXPMAX           = r24
+
+GR_ROUNDVAL         = r26
+GR_MASK             = r27
+GR_KF0              = r28
+GR_MASK_low         = r29
+GR_COEFF_START      = r30
+GR_exact_limit      = r31
+
+GR_SAVE_B0          = r33
+GR_SAVE_PFS         = r34
+GR_SAVE_GP          = r35
+GR_SAVE_SP          = r36
+
+GR_Parameter_X      = r37
+GR_Parameter_Y      = r38
+GR_Parameter_RESULT = r39
+GR_Parameter_TAG    = r40
+
+
+FR_X                = f10
+FR_Y                = f1
+FR_RESULT           = f8
+
+
+FR_COEFF1           = f6
+FR_COEFF2           = f7
+FR_R                = f9
+FR_LOG2_10          = f10
+
+FR_2P53             = f11
+FR_KF0              = f12
+FR_COEFF3           = f13
+FR_COEFF4           = f14
+FR_UF_LIMIT         = f15
+
+FR_OF_LIMIT         = f32
+FR_DX_L210          = f33
+FR_ROUNDVAL         = f34
+FR_KF               = f35
+
+FR_2_TO_K           = f36
+FR_T_low            = f37
+FR_T_high           = f38
+
+FR_P12              = f41
+FR_T_low_K          = f42
+FR_T                = f44
+FR_P                = f45
+
+FR_E                = f49
+FR_exact_limit      = f50
+
+FR_int_x            = f51
+
+
+// Data tables
+//==============================================================
+
+RODATA
+
+.align 16
+
+LOCAL_OBJECT_START(poly_coeffs)
+
+data8 0xd49a784bcd1b8afe, 0x00003fcb // log2(10)*2^(10-63)
+data8 0xb17217f7d1cf79ab, 0x00004033 // C_1 * 2^53
+data8 0xf5fdeffc162c7541, 0x00004066 // C_2 * 2^106
+LOCAL_OBJECT_END(poly_coeffs)
+
+
+LOCAL_OBJECT_START(T_table)
+
+// 2^{0.00000 b6 b7 b8 b9 b10}
+data8 0x8000000000000000, 0x8016302f17467628
+data8 0x802c6436d0e04f50, 0x80429c17d77c18ed
+data8 0x8058d7d2d5e5f6b0, 0x806f17687707a7af
+data8 0x80855ad965e88b83, 0x809ba2264dada76a
+data8 0x80b1ed4fd999ab6c, 0x80c83c56b50cf77f
+data8 0x80de8f3b8b85a0af, 0x80f4e5ff089f763e
+data8 0x810b40a1d81406d4, 0x81219f24a5baa59d
+data8 0x813801881d886f7b, 0x814e67cceb90502c
+data8 0x8164d1f3bc030773, 0x817b3ffd3b2f2e47
+data8 0x8191b1ea15813bfd, 0x81a827baf7838b78
+data8 0x81bea1708dde6055, 0x81d51f0b8557ec1c
+data8 0x81eba08c8ad4536f, 0x820225f44b55b33b
+data8 0x8218af4373fc25eb, 0x822f3c7ab205c89a
+data8 0x8245cd9ab2cec048, 0x825c62a423d13f0c
+data8 0x8272fb97b2a5894c, 0x828998760d01faf3
+data8 0x82a0393fe0bb0ca8, 0x82b6ddf5dbc35906
+//
+//
+// 2^{0.b1 b2 b3 b4 b5}
+data8 0x8000000000000000, 0x82cd8698ac2ba1d7
+data8 0x85aac367cc487b14, 0x88980e8092da8527
+data8 0x8b95c1e3ea8bd6e6, 0x8ea4398b45cd53c0
+data8 0x91c3d373ab11c336, 0x94f4efa8fef70961
+data8 0x9837f0518db8a96f, 0x9b8d39b9d54e5538
+data8 0x9ef5326091a111ad, 0xa27043030c496818
+data8 0xa5fed6a9b15138ea, 0xa9a15ab4ea7c0ef8
+data8 0xad583eea42a14ac6, 0xb123f581d2ac258f
+data8 0xb504f333f9de6484, 0xb8fbaf4762fb9ee9
+data8 0xbd08a39f580c36be, 0xc12c4cca66709456
+data8 0xc5672a115506dadd, 0xc9b9bd866e2f27a2
+data8 0xce248c151f8480e3, 0xd2a81d91f12ae45a
+data8 0xd744fccad69d6af4, 0xdbfbb797daf23755
+data8 0xe0ccdeec2a94e111, 0xe5b906e77c8348a8
+data8 0xeac0c6e7dd24392e, 0xefe4b99bdcdaf5cb
+data8 0xf5257d152486cc2c, 0xfa83b2db722a033a
+LOCAL_OBJECT_END(T_table)
+
+
+
+.section .text
+GLOBAL_IEEE754_ENTRY(exp10f)
+
+
+{.mfi
+       alloc r32= ar.pfs, 1, 4, 4, 0
+       // will continue only for non-zero normal/denormal numbers
+       fclass.nm.unc p12, p7= f8, 0x1b
+       nop.i 0
+}
+{.mlx
+       // GR_TBL_START= pointer to log2(10), C_1...C_4 followed by T_table
+       addl GR_TBL_START= @ltoff(poly_coeffs), gp
+       movl GR_ROUNDVAL= 0x3fc00000             // 1.5 (SP)
+}
+;;
+
+{.mfi
+       ld8 GR_COEFF_START= [ GR_TBL_START ]     // Load pointer to coeff table
+       fcmp.lt.s1 p6, p8= f8, f0                // X<0 ?
+       nop.i 0
+}
+;;
+
+{.mlx
+       nop.m 0
+       movl GR_UF_LIMIT= 0xc2349e35             // (-2^7-22) / log2(10)
+}
+{.mlx
+       setf.s FR_ROUNDVAL= GR_ROUNDVAL
+       movl GR_OF_LIMIT= 0x421a209a             // Overflow threshold
+}
+;;
+
+{.mib
+       ldfe FR_LOG2_10= [ GR_COEFF_START ], 16  // load log2(10)*2^(10-63)
+       nop.i 0
+ (p12) br.cond.spnt SPECIAL_exp10               // Branch if nan, inf, zero
+}
+;;
+
+{.mfi
+       setf.s FR_OF_LIMIT= GR_OF_LIMIT           // Set overflow limit
+       fma.s0 f8= f8, f1, f0                     // normalize x
+       nop.i 0
+}
+;;
+
+{.mfi
+       nop.m 0
+ (p8)  fcvt.fx.s1 FR_int_x = f8                   // Convert x to integer
+       nop.i 0
+}
+{.mfi
+       setf.s FR_UF_LIMIT= GR_UF_LIMIT            // Set underflow limit
+       fma.s1 FR_KF0= f8, FR_LOG2_10, FR_ROUNDVAL // y= (x*log2(10)*2^10 +
+                                                  //    1.5*2^63) * 2^(-63)
+       mov GR_EXP_CORR= 0xffff-126
+}
+;;
+
+{.mfi
+       ldfe FR_COEFF1= [ GR_COEFF_START ], 16    // load C_1
+       fms.s1 FR_KF= FR_KF0, f1, FR_ROUNDVAL     // (K+f)*2^(10-63)
+       mov GR_MASK= 1023
+}
+;;
+
+{.mfi
+       ldfe FR_COEFF2= [ GR_COEFF_START ], 16    // load C_2
+       nop.f 0
+       mov GR_MASK_low= 31
+}
+;;
+
+{.mlx
+       getf.sig GR_KF0= FR_KF0                   // (K+f)*2^10= round_to_int(y)
+ (p8)  movl GR_exact_limit= 0x41200000           // Largest x for exact result,
+                                                 //  +10.0
+}
+;;
+
+{.mfi
+       add GR_LOG_TBL= 256, GR_COEFF_START       // Pointer to high T_table
+       fcmp.gt.s1 p12, p7= f8, FR_OF_LIMIT       // x>overflow threshold ?
+       nop.i 0
+}
+;;
+
+{.mfi
+ (p8)  setf.s FR_exact_limit = GR_exact_limit    // Largest x for exact result
+ (p8)  fcvt.xf FR_int_x = FR_int_x               // Integral part of x
+       shr GR_K= GR_KF0, 10                      // K
+}
+{.mfi
+       and GR_F_high= GR_MASK, GR_KF0            // f_high*32
+       fms.s1 FR_R= f8, FR_LOG2_10, FR_KF        // r*2^(-53)= [ x*log2(10)-
+                                                 //           (K+f) ] *2^{10-63}
+       and GR_F_low= GR_KF0, GR_MASK_low         // f_low
+}
+;;
+
+{.mmi
+       shladd GR_Flow_ADDR= GR_F_low, 3, GR_COEFF_START // address of 2^{f_low}
+       add GR_BIAS= GR_K, GR_EXP_CORR            // K= bias-2*63
+       shr GR_Fh= GR_F_high, 5                   // f_high
+}
+;;
+
+{.mfi
+       setf.exp FR_2_TO_K= GR_BIAS               // 2^{K-126}
+ (p7)  fcmp.lt.s1 p12, p7= f8, FR_UF_LIMIT       // x<underflow threshold ?
+       shladd GR_Fh_ADDR= GR_Fh, 3, GR_LOG_TBL   // address of 2^{f_high}
+}
+{.mfi
+       ldf8 FR_T_low= [ GR_Flow_ADDR ]           // load T_low= 2^{f_low}
+       nop.f 0
+       nop.i 0
+}
+;;
+
+{.mfb
+       ldf8 FR_T_high= [ GR_Fh_ADDR ]            // load T_high= 2^{f_high}
+       nop.f 0
+ (p12) br.cond.spnt OUT_RANGE_exp10
+}
+;;
+
+{.mfi
+       nop.m 0
+       fma.s1 FR_P12= FR_COEFF2, FR_R, FR_COEFF1 // P12= C_1+C_2*r
+       cmp.eq p7,p9= r0,r0                       // Assume inexact result
+}
+;;
+
+{.mfi
+       nop.m 0
+ (p8)  fcmp.eq.s1 p9,p7= FR_int_x, f8            // Test x positive integer
+       nop.i 0
+}
+{.mfi
+       nop.m 0
+       fma.s1 FR_T_low_K= FR_T_low, FR_2_TO_K, f0 // T= 2^{K-126}*T_low
+       nop.i 0
+}
+;;
+
+{.mfi
+       nop.m 0
+       fma.s1 FR_P= FR_P12, FR_R, f0              // P= P12*r
+       nop.i 0
+}
+;;
+
+// If x a positive integer, will it produce an exact result?
+//   p7 result will be inexact
+//   p9 result will be exact
+{.mfi
+       nop.m 0
+ (p9)  fcmp.le.s1 p9,p7= f8, FR_exact_limit       // Test x gives exact result
+       nop.i 0
+}
+{.mfi
+       nop.m 0
+       fma.s1 FR_T= FR_T_low_K, FR_T_high, f0     // T= T*T_high
+       nop.i 0
+}
+;;
+
+.pred.rel "mutex",p7,p9
+{.mfi
+       nop.m 0
+ (p7)  fma.s.s0 f8= FR_P, FR_T, FR_T              // result= T+T*P, inexact set
+       nop.i 0
+}
+{.mfb
+       nop.m 0
+ (p9)  fma.s.s1 f8= FR_P, FR_T, FR_T              // result= T+T*P, exact use s1
+       br.ret.sptk b0                             // return
+}
+;;
+
+
+SPECIAL_exp10:
+{.mfi
+       nop.m 0
+       fclass.m p6, p0= f8, 0x22                  // x= -Infinity ?
+       nop.i 0
+}
+;;
+
+{.mfi
+       nop.m 0
+       fclass.m p7, p0= f8, 0x21                  // x= +Infinity ?
+       nop.i 0
+}
+;;
+
+{.mfi
+       nop.m 0
+       fclass.m p8, p0= f8, 0x7                   // x= +/-Zero ?
+       nop.i 0
+}
+{.mfb
+       nop.m 0
+ (p6)  mov f8= f0                                 // exp10(-Infinity)= 0
+ (p6)  br.ret.spnt b0
+}
+;;
+
+{.mfb
+       nop.m 0
+       nop.f 0
+ (p7)  br.ret.spnt b0                             // exp10(+Infinity)= +Infinity
+}
+;;
+
+{.mfb
+       nop.m 0
+ (p8)  mov f8= f1                                 // exp10(+/-0)= 1
+ (p8)  br.ret.spnt b0
+}
+;;
+
+{.mfb
+       nop.m 0
+       fma.s.s0 f8= f8, f1, f0                    // Remaining cases: NaNs
+       br.ret.sptk b0
+}
+;;
+
+
+OUT_RANGE_exp10:
+
+// overflow: p8= 1
+
+{.mii
+ (p8)  mov GR_EXPMAX= 0x1fffe
+       nop.i 0
+       nop.i 0
+}
+;;
+
+
+{.mmb
+ (p8)  mov GR_Parameter_TAG= 167
+ (p8)  setf.exp FR_R= GR_EXPMAX
+       nop.b 999
+}
+;;
+
+{.mfi
+       nop.m 999
+ (p8)  fma.s.s0 f8= FR_R, FR_R, f0                // Create overflow
+       nop.i 999
+}
+// underflow: p6= 1
+{.mii
+       nop.m 0
+ (p6)  mov GR_EXPMAX= 1
+       nop.i 0
+}
+;;
+
+{.mmb
+       nop.m 0
+ (p6)  setf.exp FR_R= GR_EXPMAX
+       nop.b 999
+}
+;;
+
+{.mfb
+       nop.m 999
+ (p6)  fma.s.s0 f8= FR_R, FR_R, f0                // Create underflow
+ (p6)  br.ret.sptk b0                  // will not call libm_error for underflow
+}
+;;
+
+GLOBAL_IEEE754_END(exp10f)
+weak_alias (exp10f, pow10f)
+
+LOCAL_LIBM_ENTRY(__libm_error_region)
+
+.prologue
+{.mfi
+       add GR_Parameter_Y= -32, sp                // Parameter 2 value
+       nop.f 0
+.save ar.pfs, GR_SAVE_PFS
+       mov GR_SAVE_PFS= ar.pfs                    // Save ar.pfs
+}
+
+{.mfi
+.fframe 64
+       add sp= -64, sp                            // Create new stack
+       nop.f 0
+       mov GR_SAVE_GP= gp                         // Save gp
+}
+;;
+
+{.mmi
+       stfs [ GR_Parameter_Y ]= FR_Y, 16          // STORE Parameter 2 on stack
+       add GR_Parameter_X= 16, sp                 // Parameter 1 address
+.save b0, GR_SAVE_B0
+       mov GR_SAVE_B0= b0                         // Save b0
+}
+;;
+
+.body
+{.mib
+       stfs [ GR_Parameter_X ]= FR_X              // STORE Parameter 1 on stack
+       add GR_Parameter_RESULT= 0, GR_Parameter_Y // Parameter 3 address
+       nop.b 0
+}
+{.mib
+       stfs [ GR_Parameter_Y ]= FR_RESULT         // STORE Parameter 3 on stack
+       add GR_Parameter_Y= -16, GR_Parameter_Y
+       br.call.sptk b0= __libm_error_support#    // Call error handling function
+}
+;;
+
+{.mmi
+       add GR_Parameter_RESULT= 48, sp
+       nop.m 0
+       nop.i 0
+}
+;;
+
+{.mmi
+       ldfs f8= [ GR_Parameter_RESULT ]          // Get return result off stack
+.restore sp
+       add sp= 64, sp                            // Restore stack pointer
+       mov b0= GR_SAVE_B0                        // Restore return address
+}
+;;
+
+{.mib
+       mov gp= GR_SAVE_GP                        // Restore gp
+       mov ar.pfs= GR_SAVE_PFS                   // Restore ar.pfs
+       br.ret.sptk b0                            // Return
+}
+;;
+
+
+LOCAL_LIBM_END(__libm_error_region)
+
+.type __libm_error_support#, @function
+.global __libm_error_support#
diff --git a/sysdeps/ia64/fpu/e_exp10l.S b/sysdeps/ia64/fpu/e_exp10l.S
new file mode 100644
index 0000000000..1b47258e73
--- /dev/null
+++ b/sysdeps/ia64/fpu/e_exp10l.S
@@ -0,0 +1,805 @@
+.file "exp10l.s"
+
+
+// Copyright (c) 2000 - 2003, Intel Corporation
+// All rights reserved.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
+//
+// Redistribution and use in source and binary forms, with or without
+// modification, are permitted provided that the following conditions are
+// met:
+//
+// * Redistributions of source code must retain the above copyright
+// notice, this list of conditions and the following disclaimer.
+//
+// * Redistributions in binary form must reproduce the above copyright
+// notice, this list of conditions and the following disclaimer in the
+// documentation and/or other materials provided with the distribution.
+//
+// * The name of Intel Corporation may not be used to endorse or promote
+// products derived from this software without specific prior written
+// permission.
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
+// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
+// OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+//
+// Intel Corporation is the author of this code, and requests that all
+// problem reports or change requests be submitted to it directly at
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
+//
+// History
+//==============================================================
+// 08/25/00 Initial version
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 02/06/03 Reordered header: .section, .global, .proc, .align
+// 05/08/03 Reformatted assembly source; corrected overflow result for round to
+//          -inf and round to zero; exact results now don't set inexact flag
+//
+// API
+//==============================================================
+// long double exp10l(long double)
+//
+// Overview of operation
+//==============================================================
+// Background
+//
+// Implementation
+//
+// Let x= (K + f + r)/log2(10), where
+// K is an integer, f= 0.b1 b2... b8 (f>= 0),
+// and |r|<2^{-9}
+// T is a table that stores 2^f (256 entries) rounded to
+// double extended precision (only mantissa is stored)
+// D stores (2^f/T [ f ] - 1), rounded to single precision
+//
+// 10^x is approximated as
+// 2^K * T [ f ] * ((1+c1*r+c2*r^2+...+c6*r^6)*(1+c1*e)+D [ f ] ),
+// where e= log2(10)_lo*x+(log2(10)_hi*x-RN(log2(10)_hi*x))
+//
+
+
+
+// Special values
+//==============================================================
+// exp10(0)= 1
+// exp10(+inf)= inf
+// exp10(-inf)= 0
+//
+
+
+// Registers used
+//==============================================================
+// f6-f15, f32-f62
+// r14-r30, r32-r40
+// p6-p8, p12-p14
+//
+
+
+       FR_X        = f10
+       FR_Y        = f1
+       FR_RESULT   = f8
+
+       FR_COEFF1   = f6
+       FR_COEFF2   = f7
+       FR_KF0      = f9
+       FR_LOG10    = f10
+       FR_CONST1   = f11
+       FR_XL10     = f12
+       FR_COEFF3   = f13
+       FR_COEFF4   = f14
+       FR_UF_TEST  = f15
+       FR_OF_TEST  = f32
+       FR_L10_LOW  = f33
+       FR_COEFF5   = f34
+       FR_COEFF6   = f35
+       FR_L10      = f36
+       FR_C_L10    = f37
+       FR_XL10_H   = f38
+       FR_XL10_L   = f39
+       FR_KF       = f40
+       FR_E        = f41
+       FR_T        = f42
+       FR_D        = f43
+       FR_EXP_M_63 = f44
+       FR_R        = f45
+       FR_E1       = f46
+       FR_COEFF2   = f47
+       FR_P34      = f48
+       FR_P56      = f49
+       FR_R2       = f50
+       FR_RE       = f51
+       FR_D1       = f52
+       FR_P36      = f53
+       FR_R3E      = f54
+       FR_P1       = f55
+       FR_P        = f56
+       FR_T1       = f57
+       FR_XINT     = f58
+       FR_XINTF    = f59
+       FR_4        = f60
+       FR_28       = f61
+       FR_32       = f62
+
+
+       GR_ADDR0    = r14
+       GR_D_ADDR   = r15
+       GR_ADDR     = r16
+       GR_B63      = r17
+       GR_KBITS    = r18
+       GR_F        = r19
+       GR_K        = r20
+       GR_D        = r21
+       GR_BM63     = r22
+       GR_T        = r23
+       GR_CONST1   = r24
+       GR_EMIN     = r25
+       GR_CONST2   = r26
+       GR_BM8      = r27
+       GR_SREG     = r28
+       GR_4_BIAS   = r29
+       GR_32_BIAS  = r30
+
+       GR_SAVE_B0  = r33
+       GR_SAVE_PFS = r34
+       GR_SAVE_GP  = r35
+       GR_SAVE_SP  = r36
+
+       GR_Parameter_X     = r37
+       GR_Parameter_Y     = r38
+       GR_Parameter_RESULT= r39
+       GR_Parameter_TAG   = r40
+
+
+// Data tables
+//==============================================================
+
+RODATA
+
+.align 16
+
+LOCAL_OBJECT_START(poly_coeffs)
+
+       data8 0xd49a784bcd1b8afe, 0x00004008 // log2(10)*2^8
+       data8 0x9a209a84fbcff798, 0x0000400b // overflow threshold
+       data8 0xb17217f7d1cf79ab, 0x00003ffe // C_1
+       data8 0xf5fdeffc162c7541, 0x00003ffc // C_2
+       data8 0x3fac6b08d704a0c0 // C_3
+       data8 0x3f83b2ab6fba4e77 // C_4
+       data8 0x3f55d87fe78a6731 // C_5
+       data8 0x3f2430912f86c787 // C_6
+       data8 0x9257edfe9b5fb698, 0x00003fbf // log2(10)_low (bits 64...127)
+LOCAL_OBJECT_END(poly_coeffs)
+
+
+LOCAL_OBJECT_START(T_table)
+
+       // 2^{0.b1 b2 b3 b4 b5 b6 b7 b8}
+       data8 0x8000000000000000, 0x8058d7d2d5e5f6b1
+       data8 0x80b1ed4fd999ab6c, 0x810b40a1d81406d4
+       data8 0x8164d1f3bc030773, 0x81bea1708dde6056
+       data8 0x8218af4373fc25ec, 0x8272fb97b2a5894c
+       data8 0x82cd8698ac2ba1d7, 0x83285071e0fc4547
+       data8 0x8383594eefb6ee37, 0x83dea15b9541b132
+       data8 0x843a28c3acde4046, 0x8495efb3303efd30
+       data8 0x84f1f656379c1a29, 0x854e3cd8f9c8c95d
+       data8 0x85aac367cc487b15, 0x86078a2f23642a9f
+       data8 0x8664915b923fba04, 0x86c1d919caef5c88
+       data8 0x871f61969e8d1010, 0x877d2afefd4e256c
+       data8 0x87db357ff698d792, 0x88398146b919f1d4
+       data8 0x88980e8092da8527, 0x88f6dd5af155ac6b
+       data8 0x8955ee03618e5fdd, 0x89b540a7902557a4
+       data8 0x8a14d575496efd9a, 0x8a74ac9a79896e47
+       data8 0x8ad4c6452c728924, 0x8b3522a38e1e1032
+       data8 0x8b95c1e3ea8bd6e7, 0x8bf6a434adde0085
+       data8 0x8c57c9c4646f4dde, 0x8cb932c1bae97a95
+       data8 0x8d1adf5b7e5ba9e6, 0x8d7ccfc09c50e2f8
+       data8 0x8ddf042022e69cd6, 0x8e417ca940e35a01
+       data8 0x8ea4398b45cd53c0, 0x8f073af5a2013520
+       data8 0x8f6a8117e6c8e5c4, 0x8fce0c21c6726481
+       data8 0x9031dc431466b1dc, 0x9095f1abc540ca6b
+       data8 0x90fa4c8beee4b12b, 0x915eed13c89689d3
+       data8 0x91c3d373ab11c336, 0x9228ffdc10a051ad
+       data8 0x928e727d9531f9ac, 0x92f42b88f673aa7c
+       data8 0x935a2b2f13e6e92c, 0x93c071a0eef94bc1
+       data8 0x9426ff0fab1c04b6, 0x948dd3ac8ddb7ed3
+       data8 0x94f4efa8fef70961, 0x955c5336887894d5
+       data8 0x95c3fe86d6cc7fef, 0x962bf1cbb8d97560
+       data8 0x96942d3720185a00, 0x96fcb0fb20ac4ba3
+       data8 0x97657d49f17ab08e, 0x97ce9255ec4357ab
+       data8 0x9837f0518db8a96f, 0x98a1976f7597e996
+       data8 0x990b87e266c189aa, 0x9975c1dd47518c77
+       data8 0x99e0459320b7fa65, 0x9a4b13371fd166ca
+       data8 0x9ab62afc94ff864a, 0x9b218d16f441d63d
+       data8 0x9b8d39b9d54e5539, 0x9bf93118f3aa4cc1
+       data8 0x9c6573682ec32c2d, 0x9cd200db8a0774cb
+       data8 0x9d3ed9a72cffb751, 0x9dabfdff6367a2aa
+       data8 0x9e196e189d472420, 0x9e872a276f0b98ff
+       data8 0x9ef5326091a111ae, 0x9f6386f8e28ba651
+       data8 0x9fd228256400dd06, 0xa041161b3d0121be
+       data8 0xa0b0510fb9714fc2, 0xa11fd9384a344cf7
+       data8 0xa18faeca8544b6e4, 0xa1ffd1fc25cea188
+       data8 0xa27043030c496819, 0xa2e102153e918f9e
+       data8 0xa3520f68e802bb93, 0xa3c36b345991b47c
+       data8 0xa43515ae09e6809e, 0xa4a70f0c95768ec5
+       data8 0xa5195786be9ef339, 0xa58bef536dbeb6ee
+       data8 0xa5fed6a9b15138ea, 0xa6720dc0be08a20c
+       data8 0xa6e594cfeee86b1e, 0xa7596c0ec55ff55b
+       data8 0xa7cd93b4e965356a, 0xa8420bfa298f70d1
+       data8 0xa8b6d5167b320e09, 0xa92bef41fa77771b
+       data8 0xa9a15ab4ea7c0ef8, 0xaa1717a7b5693979
+       data8 0xaa8d2652ec907629, 0xab0386ef48868de1
+       data8 0xab7a39b5a93ed337, 0xabf13edf162675e9
+       data8 0xac6896a4be3fe929, 0xace0413ff83e5d04
+       data8 0xad583eea42a14ac6, 0xadd08fdd43d01491
+       data8 0xae493452ca35b80e, 0xaec22c84cc5c9465
+       data8 0xaf3b78ad690a4375, 0xafb51906e75b8661
+       data8 0xb02f0dcbb6e04584, 0xb0a957366fb7a3c9
+       data8 0xb123f581d2ac2590, 0xb19ee8e8c94feb09
+       data8 0xb21a31a66618fe3b, 0xb295cff5e47db4a4
+       data8 0xb311c412a9112489, 0xb38e0e38419fae18
+       data8 0xb40aaea2654b9841, 0xb487a58cf4a9c180
+       data8 0xb504f333f9de6484, 0xb58297d3a8b9f0d2
+       data8 0xb60093a85ed5f76c, 0xb67ee6eea3b22b8f
+       data8 0xb6fd91e328d17791, 0xb77c94c2c9d725e9
+       data8 0xb7fbefca8ca41e7c, 0xb87ba337a1743834
+       data8 0xb8fbaf4762fb9ee9, 0xb97c143756844dbf
+       data8 0xb9fcd2452c0b9deb, 0xba7de9aebe5fea09
+       data8 0xbaff5ab2133e45fb, 0xbb81258d5b704b6f
+       data8 0xbc034a7ef2e9fb0d, 0xbc85c9c560e7b269
+       data8 0xbd08a39f580c36bf, 0xbd8bd84bb67ed483
+       data8 0xbe0f6809860993e2, 0xbe935317fc378238
+       data8 0xbf1799b67a731083, 0xbf9c3c248e2486f8
+       data8 0xc0213aa1f0d08db0, 0xc0a6956e8836ca8d
+       data8 0xc12c4cca66709456, 0xc1b260f5ca0fbb33
+       data8 0xc238d2311e3d6673, 0xc2bfa0bcfad907c9
+       data8 0xc346ccda24976407, 0xc3ce56c98d21b15d
+       data8 0xc4563ecc5334cb33, 0xc4de8523c2c07baa
+       data8 0xc5672a115506dadd, 0xc5f02dd6b0bbc3d9
+       data8 0xc67990b5aa245f79, 0xc70352f04336c51e
+       data8 0xc78d74c8abb9b15d, 0xc817f681416452b2
+       data8 0xc8a2d85c8ffe2c45, 0xc92e1a9d517f0ecc
+       data8 0xc9b9bd866e2f27a3, 0xca45c15afcc72624
+       data8 0xcad2265e4290774e, 0xcb5eecd3b38597c9
+       data8 0xcbec14fef2727c5d, 0xcc799f23d11510e5
+       data8 0xcd078b86503dcdd2, 0xcd95da6a9ff06445
+       data8 0xce248c151f8480e4, 0xceb3a0ca5dc6a55d
+       data8 0xcf4318cf191918c1, 0xcfd2f4683f94eeb5
+       data8 0xd06333daef2b2595, 0xd0f3d76c75c5db8d
+       data8 0xd184df6251699ac6, 0xd2164c023056bcab
+       data8 0xd2a81d91f12ae45a, 0xd33a5457a3029054
+       data8 0xd3ccf099859ac379, 0xd45ff29e0972c561
+       data8 0xd4f35aabcfedfa1f, 0xd5872909ab75d18a
+       data8 0xd61b5dfe9f9bce07, 0xd6aff9d1e13ba2fe
+       data8 0xd744fccad69d6af4, 0xd7da67311797f56a
+       data8 0xd870394c6db32c84, 0xd9067364d44a929c
+       data8 0xd99d15c278afd7b6, 0xda3420adba4d8704
+       data8 0xdacb946f2ac9cc72, 0xdb63714f8e295255
+       data8 0xdbfbb797daf23755, 0xdc9467913a4f1c92
+       data8 0xdd2d818508324c20, 0xddc705bcd378f7f0
+       data8 0xde60f4825e0e9124, 0xdefb4e1f9d1037f2
+       data8 0xdf9612deb8f04420, 0xe031430a0d99e627
+       data8 0xe0ccdeec2a94e111, 0xe168e6cfd3295d23
+       data8 0xe2055afffe83d369, 0xe2a23bc7d7d91226
+       data8 0xe33f8972be8a5a51, 0xe3dd444c46499619
+       data8 0xe47b6ca0373da88d, 0xe51a02ba8e26d681
+       data8 0xe5b906e77c8348a8, 0xe658797368b3a717
+       data8 0xe6f85aaaee1fce22, 0xe798aadadd5b9cbf
+       data8 0xe8396a503c4bdc68, 0xe8da9958464b42ab
+       data8 0xe97c38406c4f8c57, 0xea1e4756550eb27b
+       data8 0xeac0c6e7dd24392f, 0xeb63b74317369840
+       data8 0xec0718b64c1cbddc, 0xecaaeb8ffb03ab41
+       data8 0xed4f301ed9942b84, 0xedf3e6b1d418a491
+       data8 0xee990f980da3025b, 0xef3eab20e032bc6b
+       data8 0xefe4b99bdcdaf5cb, 0xf08b3b58cbe8b76a
+       data8 0xf13230a7ad094509, 0xf1d999d8b7708cc1
+       data8 0xf281773c59ffb13a, 0xf329c9233b6bae9c
+       data8 0xf3d28fde3a641a5b, 0xf47bcbbe6db9fddf
+       data8 0xf5257d152486cc2c, 0xf5cfa433e6537290
+       data8 0xf67a416c733f846e, 0xf7255510c4288239
+       data8 0xf7d0df730ad13bb9, 0xf87ce0e5b2094d9c
+       data8 0xf92959bb5dd4ba74, 0xf9d64a46eb939f35
+       data8 0xfa83b2db722a033a, 0xfb3193cc4227c3f4
+       data8 0xfbdfed6ce5f09c49, 0xfc8ec01121e447bb
+       data8 0xfd3e0c0cf486c175, 0xfdedd1b496a89f35
+       data8 0xfe9e115c7b8f884c, 0xff4ecb59511ec8a5
+LOCAL_OBJECT_END(T_table)
+
+
+LOCAL_OBJECT_START(D_table)
+       data4 0x00000000, 0x9f55c08f, 0x1e93ffa3, 0x1dcd43a8
+       data4 0x1f751f79, 0x9f3cdd88, 0x9f43d155, 0x1eda222c
+       data4 0x1ef35513, 0x9f597895, 0x9e698881, 0x1ec71073
+       data4 0x1e50e371, 0x9dc01e19, 0x1de74133, 0x1e2f028c
+       data4 0x9edefb47, 0x1ebbac48, 0x9e8b0330, 0x9e9e9314
+       data4 0x1edc1d11, 0x1f098529, 0x9f52827c, 0x1f50050d
+       data4 0x1f301e8e, 0x1f5b64d1, 0x9f45e3ee, 0x9ef64d6d
+       data4 0x1d6ec5e8, 0x9e61ad9a, 0x1d44ccbb, 0x9e4a8bbb
+       data4 0x9cf11576, 0x9dcce7e7, 0x9d02ac90, 0x1f26ccf0
+       data4 0x9f0877c6, 0x9ddd62ae, 0x9f4b7fc3, 0x1ea8ef6b
+       data4 0x1ea4378d, 0x1ef6fc38, 0x1db99fd9, 0x1f22bf6f
+       data4 0x1f53e172, 0x1e85504a, 0x9f37cc75, 0x1f0c5e17
+       data4 0x1dde8aac, 0x9cb42bb2, 0x1e153cd7, 0x1eb62bba
+       data4 0x9e9b941b, 0x9ea80e3c, 0x1f508823, 0x1ec3fd36
+       data4 0x1e9ffaa1, 0x1e21e2eb, 0x9d948b1d, 0x9e8ac93a
+       data4 0x1ef7ee6f, 0x9e80dda3, 0x1f0814be, 0x1dc5ddfe
+       data4 0x1eedb9d1, 0x9f2aaa26, 0x9ea5b0fc, 0x1edf702e
+       data4 0x9e391201, 0x1f1316bb, 0x1ea27fb7, 0x9e05ed18
+       data4 0x9f199ed2, 0x1ee7fd7c, 0x1f003db6, 0x9eac3793
+       data4 0x9e5b8c10, 0x9f3af17c, 0x1bc9a8be, 0x1ee3c004
+       data4 0x9f19b1b2, 0x9f242ce9, 0x9ce67dd1, 0x9e4f6275
+       data4 0x1e20742c, 0x1eb9328a, 0x9f477153, 0x1d969718
+       data4 0x9f1e6c43, 0x1f2f67f4, 0x9f39c7e4, 0x9e3c4feb
+       data4 0x1da3956b, 0x9e7c685d, 0x1f280911, 0x9f0d8afb
+       data4 0x1e314b40, 0x9eb4f250, 0x9f1a34ad, 0x1ef5d5e7
+       data4 0x9f145496, 0x1e604827, 0x9f1e5195, 0x1e9c1fc0
+       data4 0x1efde521, 0x1e69b385, 0x1f316830, 0x9f244eae
+       data4 0x1f1787ec, 0x9e939971, 0x1f0bb393, 0x9f0511d6
+       data4 0x1ed919de, 0x1d8b7b28, 0x1e5ca4a9, 0x1e7c357b
+       data4 0x9e3ff8e8, 0x1eef53b5, 0x9ed22ed7, 0x1f16659b
+       data4 0x9f2db102, 0x9e2c6a78, 0x1f328d7d, 0x9f2fec3c
+       data4 0x1eb395bd, 0x9f242b84, 0x9e2683e6, 0x1ed71e68
+       data4 0x1efd1df5, 0x9e9eeafd, 0x9ed2249c, 0x1eef129a
+       data4 0x1d1ea44c, 0x9e81f7ff, 0x1eaf77c9, 0x9ee7a285
+       data4 0x1e1864ed, 0x9ee7edbb, 0x9e15a27d, 0x9ae61655
+       data4 0x1f1ff1a2, 0x1da29755, 0x9e5f46fb, 0x1e901236
+       data4 0x9eecfb9b, 0x9f204d2f, 0x1ec64685, 0x9eb809bd
+       data4 0x9e0026c5, 0x1d9f1da1, 0x1f142b49, 0x9f20f22e
+       data4 0x1f24b067, 0x1f185a4c, 0x9f09765c, 0x9ece902f
+       data4 0x1e2ca5db, 0x1e6de464, 0x9f071f67, 0x1f1518c3
+       data4 0x1ea13ded, 0x1f0b8414, 0x1edb6ad4, 0x9e548740
+       data4 0x9ea10efb, 0x1ee48a60, 0x1e7954c5, 0x9edad013
+       data4 0x9f21517d, 0x9e9b6e0c, 0x9ee7f9a6, 0x9ebd4298
+       data4 0x9d65b24e, 0x1eed751f, 0x9f1573ea, 0x9d430377
+       data4 0x9e13fc0c, 0x1e47008a, 0x1e3d5c1d, 0x1ef41a91
+       data4 0x9e4a4ef7, 0x9e952f18, 0x1d620566, 0x1d9b8d33
+       data4 0x1db06247, 0x1e94b31e, 0x1f0730ad, 0x9d79ffb4
+       data4 0x1ed64d51, 0x9e91fd11, 0x9e28d35a, 0x9dea0ed9
+       data4 0x1e891def, 0x9ee28ac0, 0x1e1db99b, 0x9ee1ce38
+       data4 0x9bdd9bca, 0x1eb72cb9, 0x9e8c53c6, 0x1e0df6ca
+       data4 0x1e8f2ccd, 0x9e9b0886, 0x1eeb3bc7, 0x1ec7e772
+       data4 0x9e210776, 0x9daf246c, 0x1ea1f151, 0x1ece4dc6
+       data4 0x1ce741c8, 0x1ed3c88f, 0x9ec9a4fd, 0x9e0c8d30
+       data4 0x1d2fbb26, 0x9ef212a7, 0x1ee44f1c, 0x9e445550
+       data4 0x1e075f77, 0x9d9291a3, 0x1f09c2ee, 0x9e012c88
+       data4 0x1f057d62, 0x9e7bb0dc, 0x9d8758ee, 0x1ee8d6c1
+       data4 0x9e509a57, 0x9e4ca7b7, 0x1e2cb341, 0x9ec35106
+       data4 0x1ecf3baf, 0x1e11781c, 0x1ea0cc78, 0x1eb75ca6
+       data4 0x1e961e1a, 0x1eb88853, 0x1e7abf50, 0x1ee38704
+       data4 0x9dc5ab0f, 0x1afe197b, 0x9ec07523, 0x9d9b7f78
+       data4 0x1f011618, 0x1ed43b0b, 0x9f035945, 0x9e3fd014
+       data4 0x9bbda5cd, 0x9e83f8ab, 0x1e58a928, 0x1e392d61
+       data4 0x1efdbb52, 0x1ee310a8, 0x9ec7ecc1, 0x1e8c9ed6
+       data4 0x9ef82dee, 0x9e70545b, 0x9ea53fc4, 0x1e40f419
+LOCAL_OBJECT_END(D_table)
+
+
+
+.section .text
+GLOBAL_IEEE754_ENTRY(exp10l)
+
+{.mfi
+       alloc GR_SREG = ar.pfs, 1, 4, 4, 0
+       // will continue only for normal/denormal numbers
+       fclass.nm.unc p12, p7 = f8, 0x1b
+       // GR_ADDR0 = pointer to log2(10), C_1...C_6 followed by T_table
+       addl GR_ADDR0 = @ltoff(poly_coeffs), gp ;;
+}
+
+{.mfi
+       // load start address for C_1...C_6 followed by T_table
+       ld8 GR_ADDR0 = [ GR_ADDR0 ]
+       // X<0 ?
+       fcmp.lt.s1 p6, p8 = f8, f0
+       // GR_BM8 = bias-8
+       mov GR_BM8 = 0xffff-8
+}
+{.mlx
+       nop.m 0
+       // GR_EMIN = (-2^14-62)*2^{8}
+       movl GR_EMIN = 0xca807c00 ;;
+}
+
+{.mmb
+       // FR_CONST1 = 2^{-8}
+       setf.exp FR_CONST1 = GR_BM8
+       // load log2(10)*2^8
+       ldfe FR_LOG10 = [ GR_ADDR0 ], 16
+ (p12) br.cond.spnt SPECIAL_EXP10 ;;
+}
+
+{.mmf
+       setf.s FR_UF_TEST = GR_EMIN
+       // load overflow threshold
+       ldfe FR_OF_TEST = [ GR_ADDR0 ], 16
+       // normalize x
+       fma.s0 f8 = f8, f1, f0 ;;
+}
+
+{.mmi
+       // load C_1
+       ldfe FR_COEFF1 = [ GR_ADDR0 ], 16 ;;
+       // load C_2
+       ldfe FR_COEFF2 = [ GR_ADDR0 ], 16
+       nop.i 0 ;;
+}
+
+{.mmf
+       // GR_D_ADDR = pointer to D table
+       add GR_D_ADDR = 2048-64+96+16, GR_ADDR0
+       // load C_3, C_4
+       ldfpd FR_COEFF3, FR_COEFF4 = [ GR_ADDR0 ], 16
+       // y = x*log2(10)*2^8
+       fma.s1 FR_XL10 = f8, FR_LOG10, f0 ;;
+}
+
+{.mfi
+       // load C_5, C_6
+       ldfpd FR_COEFF5, FR_COEFF6 = [ GR_ADDR0 ], 16
+       // get int(x)
+       fcvt.fx.trunc.s1 FR_XINT = f8
+       nop.i 0
+}
+{.mfi
+       nop.m 0
+       // FR_LOG10 = log2(10)
+       fma.s1 FR_L10 = FR_LOG10, FR_CONST1, f0
+       nop.i 0 ;;
+}
+
+{.mfi
+       // load log2(10)_low
+       ldfe FR_L10_LOW = [ GR_ADDR0 ], 16
+       // y0 = x*log2(10) = x*log2(10)_hi
+       fma.s1 FR_LOG10 = f8, FR_L10, f0
+       mov GR_EMIN = 0xffff-63
+}
+{.mfi
+       mov GR_32_BIAS = 0xffff + 5
+       // (K+f)*2^8 = round_to_int(y)
+       fcvt.fx.s1 FR_KF0 = FR_XL10
+       mov GR_4_BIAS = 0xffff + 2;;
+}
+
+{.mfi
+       nop.m 0
+       // x>overflow threshold ?
+       fcmp.gt.s1 p12, p7 = f8, FR_OF_TEST
+       nop.i 0 ;;
+}
+
+{.mfi
+       setf.exp FR_32 = GR_32_BIAS
+       // x<underflow threshold ?
+  (p7) fcmp.lt.s1 p12, p7 = FR_XL10, FR_UF_TEST
+       nop.i 0 ;;
+}
+
+{.mfi
+       setf.exp FR_4 = GR_4_BIAS
+       fcvt.xf FR_XINTF = FR_XINT
+       nop.i 0
+}
+{.mfi
+       nop.m 0
+       // FR_L10 = log2(10)_h*x-RN(log2(10)_h*x)
+       fms.s1 FR_L10 = f8, FR_L10, FR_LOG10
+       nop.i 0 ;;
+}
+
+{.mfi
+       getf.sig GR_BM8 = FR_KF0
+       fcvt.xf FR_KF0 = FR_KF0
+       mov GR_CONST2 = 255 ;;
+}
+
+{.mfi
+       // GR_CONST2 = f
+       and GR_CONST2 = GR_CONST2, GR_BM8
+       // FR_L10_LOW = e = log2(10)_l*x+(log2(10)_h*x-RN(log2(10)_h*x))
+       fma.s1 FR_L10_LOW = FR_L10_LOW, f8, FR_L10
+       // GR_BM8 = K
+       shr GR_BM8 = GR_BM8, 8 ;;
+}
+
+{.mmi
+       // address of D
+       shladd GR_D_ADDR = GR_CONST2, 2, GR_D_ADDR
+       // K+ = bias-63
+       add GR_BM8 = GR_BM8, GR_EMIN
+       // address of T
+       shladd GR_ADDR0 = GR_CONST2, 3, GR_ADDR0 ;;
+}
+
+{.mfb
+       // load D
+       ldfs FR_OF_TEST = [ GR_D_ADDR ]
+       // is input an integer ?
+       fcmp.eq.s1 p13, p14 = f8, FR_XINTF
+ (p12) br.cond.spnt OUT_RANGE_EXP10 ;;
+}
+
+{.mmf
+       // load T
+       ldf8 FR_UF_TEST = [ GR_ADDR0 ]
+       // FR_XL10 = 2^{K-63}
+       setf.exp FR_XL10 = GR_BM8
+       // r = x*log2(10)_hi-2^{-10}* [ (K+f)*2^{10} ]
+       fnma.s1 FR_KF0 = FR_KF0, FR_CONST1, FR_LOG10 ;;
+}
+
+{.mfi
+       nop.m 0
+       // get 28.0
+       fms.s1 FR_28 = FR_32, f1, FR_4
+       nop.i 0
+}
+{.mfi
+       nop.m 0
+       // E = 1+C_1*e
+       fma.s1 FR_L10 = FR_L10_LOW, FR_COEFF1, f1
+       nop.i 0 ;;
+}
+
+{.mfi
+       nop.m 0
+       // P12 = C_1+C_2*r
+       fma.s1 FR_COEFF2 = FR_COEFF2, FR_KF0, FR_COEFF1
+       nop.i 0
+}
+{.mfi
+       nop.m 0
+       // P34 = C_3+C_4*r
+       fma.s1 FR_COEFF4 = FR_COEFF4, FR_KF0, FR_COEFF3
+       nop.i 0 ;;
+}
+
+{.mfi
+       nop.m 0
+       // P56 = C_5+C_6*r
+       fma.s1 FR_COEFF5 = FR_COEFF6, FR_KF0, FR_COEFF5
+       nop.i 0
+}
+{.mfi
+       nop.m 0
+       // GR_ADDR0 = r*r
+       fma.s1 FR_COEFF3 = FR_KF0, FR_KF0, f0
+       nop.i 0 ;;
+}
+
+{.mfi
+       nop.m 0
+       // if input is integer, is it positive ?
+ (p13) fcmp.ge.s1 p13, p14 = f8, f0
+       nop.i 0
+}
+{.mfi
+       nop.m 0
+       // r' = r*E
+       fma.s1 FR_KF0 = FR_KF0, FR_L10, f0
+       nop.i 0 ;;
+}
+
+{.mfi
+       nop.m 0
+       // D' = D+C_1*e
+       fma.s1 FR_OF_TEST = FR_L10_LOW, FR_COEFF1, FR_OF_TEST
+       nop.i 0 ;;
+}
+
+{.mfi
+       nop.m 0
+       // P36 = P34+r2*P56
+       fma.s1 FR_COEFF4 = FR_COEFF5, FR_COEFF3, FR_COEFF4
+       nop.i 0
+}
+{.mfi
+       nop.m 0
+       // GR_D_ADDR = r'*r2
+       fma.s1 FR_COEFF3 = FR_COEFF3, FR_KF0, f0
+       nop.i 0 ;;
+}
+
+{.mfi
+       nop.m 0
+       // is input below 28.0 ?
+ (p13) fcmp.lt.s1 p13, p14 = f8, FR_28
+       nop.i 0
+}
+{.mfi
+       nop.m 0
+       // P' = P12*r'+D'
+       fma.s1 FR_COEFF2 = FR_COEFF2, FR_KF0, FR_OF_TEST
+       nop.i 0 ;;
+}
+
+{.mfi
+       nop.m 0
+       // P = P'+r3*P36
+       fma.s1 FR_COEFF3 = FR_COEFF3, FR_COEFF4, FR_COEFF2
+       nop.i 0
+}
+{.mfi
+       nop.m 0
+       // T = 2^{K-63}*T
+       fma.s1 FR_UF_TEST = FR_UF_TEST, FR_XL10, f0
+       nop.i 0 ;;
+}
+
+.pred.rel "mutex",p13,p14
+{.mfi
+       nop.m 0
+ (p13) fma.s1 f8 = FR_COEFF3, FR_UF_TEST, FR_UF_TEST
+       nop.i 0
+}
+{.mfb
+       nop.m 0
+       // result = T+T*P
+ (p14) fma.s0 f8 = FR_COEFF3, FR_UF_TEST, FR_UF_TEST
+       // return
+       br.ret.sptk b0 ;;
+}
+
+
+SPECIAL_EXP10:
+
+{.mfi
+       nop.m 0
+       // x = -Infinity ?
+       fclass.m p6, p0 = f8, 0x22
+       nop.i 0 ;;
+}
+
+{.mfi
+       nop.m 0
+       // x = +Infinity ?
+       fclass.m p7, p0 = f8, 0x21
+       nop.i 0 ;;
+}
+
+{.mfi
+       nop.m 0
+       // x = +/-Zero ?
+       fclass.m p8, p0 = f8, 0x7
+       nop.i 0
+}
+{.mfb
+       nop.m 0
+       // exp10(-Infinity) = 0
+  (p6) mov f8 = f0
+  (p6) br.ret.spnt b0 ;;
+}
+
+{.mfb
+       nop.m 0
+       // exp10(+Infinity) = +Infinity
+       nop.f 0
+  (p7) br.ret.spnt b0 ;;
+}
+
+{.mfb
+       nop.m 0
+       // exp10(+/-0) = 1
+  (p8) mov f8 = f1
+  (p8) br.ret.spnt b0 ;;
+}
+
+{.mfb
+       nop.m 0
+       // Remaining cases: NaNs
+       fma.s0 f8 = f8, f1, f0
+       br.ret.sptk b0 ;;
+}
+
+
+OUT_RANGE_EXP10:
+
+{.mii
+       // overflow: p8 = 1
+  (p8) mov GR_CONST1 = 0x1fffe
+       nop.i 0
+       nop.i 0 ;;
+}
+
+{.mmb
+  (p8) mov GR_Parameter_TAG = 165
+  (p8) setf.exp FR_KF0 = GR_CONST1
+       nop.b 999 ;;
+}
+
+{.mfi
+       nop.m 999
+  (p8) fma.s0 f8 = FR_KF0, FR_KF0, f0
+       nop.i 999
+}
+{.mii
+       nop.m 0
+       // underflow: p6 = 1
+  (p6) mov GR_CONST1 = 1
+       nop.i 0 ;;
+}
+
+{.mmb
+       nop.m 0
+  (p6) setf.exp FR_KF0 = GR_CONST1
+       nop.b 999 ;;
+}
+
+{.mfb
+       nop.m 999
+  (p6) fma.s0 f8 = FR_KF0, FR_KF0, f0
+       // will not call libm_error for underflow
+  (p6) br.ret.sptk b0 ;;
+}
+
+GLOBAL_IEEE754_END(exp10l)
+weak_alias (exp10l, pow10l)
+
+LOCAL_LIBM_ENTRY(__libm_error_region)
+.prologue
+{.mfi
+       add GR_Parameter_Y = -32, sp // Parameter 2 value
+       nop.f 0
+.save ar.pfs, GR_SAVE_PFS
+       mov GR_SAVE_PFS = ar.pfs // Save ar.pfs
+}
+
+{.mfi
+.fframe 64
+       add sp = -64, sp // Create new stack
+       nop.f 0
+       mov GR_SAVE_GP = gp ;; // Save gp
+}
+
+{.mmi
+       stfe [ GR_Parameter_Y ] = FR_Y, 16 // STORE Parameter 2 on stack
+       add GR_Parameter_X = 16, sp // Parameter 1 address
+.save b0, GR_SAVE_B0
+       mov GR_SAVE_B0 = b0 ;; // Save b0
+}
+
+.body
+{.mib
+       stfe [ GR_Parameter_X ] = FR_X // STORE Parameter 1 on stack
+       add GR_Parameter_RESULT = 0, GR_Parameter_Y // Parameter 3 address
+       nop.b 0
+}
+{.mib
+       stfe [ GR_Parameter_Y ] = FR_RESULT // STORE Parameter 3 on stack
+       add GR_Parameter_Y = -16, GR_Parameter_Y
+       br.call.sptk b0 = __libm_error_support# ;; // Call error handling function
+}
+
+{.mmi
+       add GR_Parameter_RESULT = 48, sp
+       nop.m 0
+       nop.i 0 ;;
+}
+
+{.mmi
+       ldfe f8 = [ GR_Parameter_RESULT ] // Get return result off stack
+.restore sp
+       add sp = 64, sp // Restore stack pointer
+       mov b0 = GR_SAVE_B0 ;; // Restore return address
+}
+
+{.mib
+       mov gp = GR_SAVE_GP // Restore gp
+       mov ar.pfs = GR_SAVE_PFS // Restore ar.pfs
+       br.ret.sptk b0 ;; // Return
+}
+
+
+LOCAL_LIBM_END(__libm_error_region)
+.type __libm_error_support#, @function
+.global __libm_error_support#
+
diff --git a/sysdeps/ia64/fpu/e_exp2.S b/sysdeps/ia64/fpu/e_exp2.S
new file mode 100644
index 0000000000..e4a1dadd73
--- /dev/null
+++ b/sysdeps/ia64/fpu/e_exp2.S
@@ -0,0 +1,563 @@
+.file "exp2.s"
+
+
+// Copyright (c) 2000 - 2003, Intel Corporation
+// All rights reserved.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
+//
+// Redistribution and use in source and binary forms, with or without
+// modification, are permitted provided that the following conditions are
+// met:
+//
+// * Redistributions of source code must retain the above copyright
+// notice, this list of conditions and the following disclaimer.
+//
+// * Redistributions in binary form must reproduce the above copyright
+// notice, this list of conditions and the following disclaimer in the
+// documentation and/or other materials provided with the distribution.
+//
+// * The name of Intel Corporation may not be used to endorse or promote
+// products derived from this software without specific prior written
+// permission.
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
+// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
+// OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+//
+// Intel Corporation is the author of this code, and requests that all
+// problem reports or change requests be submitted to it directly at
+// http: //www.intel.com/software/products/opensource/libraries/num.htm.
+//
+// History
+//==============================================================
+// 08/25/00  Initial version
+// 05/20/02  Cleaned up namespace and sf0 syntax
+// 09/05/02  Improved performance
+// 01/17/03  Fixed to call error support when x=1024.0
+//
+// API
+//==============================================================
+// double exp2(double)
+//
+// Overview of operation
+//==============================================================
+// Background
+//
+// Implementation
+//
+// Let x= (K + fh + fl + r), where
+// K is an integer, fh= 0.b1 b2 b3 b4 b5,
+// fl= 2^{-5}* 0.b6 b7 b8 b8 b10 (fh, fl >= 0),
+// and |r|<2^{-11}
+// Th is a table that stores 2^fh (32 entries) rounded to
+// double extended precision (only mantissa is stored)
+// Tl is a table that stores 2^fl (32 entries) rounded to
+// double extended precision (only mantissa is stored)
+//
+// 2^x is approximated as
+// 2^K * Th [ f ] * Tl [ f ] * (1+c1*r+c2*r^2+c3*r^3+c4*r^4)
+
+// Note: We use the following trick to speed up conversion from FP to integer:
+//
+// Let  x = K + r, where K is an integer, and  |r| <= 0.5
+// Let N be the number of significand bits for the FP format used
+//   ( N=64 for double-extended, N=53 for double)
+//
+// Then let y = 1.5 * 2^(N-1)  +  x    for RN mode
+//          K = y -  1.5 * 2^(N-1)
+//          r  = x - K
+//
+// If we want to obtain the integer part and the first m fractional bits of x,
+// we can use the same trick, but with a constant of  1.5 * 2^(N-1-m):
+//
+// Let x = K + f + r
+// f = 0.b_1 b_2 ... b_m
+// |r| <= 2^(-m-1)
+//
+// Then let y = 1.5 * 2^(N-1-m)  +  x    for RN mode
+//          (K+f) = y -  1.5 * 2^(N-1-m)
+//          r  = x - K
+
+
+// Special values
+//==============================================================
+// exp2(0)= 1
+// exp2(+inf)= inf
+// exp2(-inf)= 0
+//
+
+// Registers used
+//==============================================================
+// r2-r3, r14-r40
+// f6-f15, f32-f45
+// p6-p8, p12
+//
+
+
+GR_TBL_START        = r2
+GR_LOG_TBL          = r3
+
+GR_OF_LIMIT         = r14
+GR_UF_LIMIT         = r15
+GR_EXP_CORR         = r16
+GR_F_low            = r17
+GR_F_high           = r18
+GR_K                = r19
+GR_Flow_ADDR        = r20
+
+GR_BIAS             = r21
+GR_Fh               = r22
+GR_Fh_ADDR          = r23
+GR_EXPMAX           = r24
+GR_EMIN             = r25
+
+GR_ROUNDVAL         = r26
+GR_MASK             = r27
+GR_KF0              = r28
+GR_MASK_low         = r29
+GR_COEFF_START      = r30
+
+GR_SAVE_B0          = r33
+GR_SAVE_PFS         = r34
+GR_SAVE_GP          = r35
+GR_SAVE_SP          = r36
+
+GR_Parameter_X      = r37
+GR_Parameter_Y      = r38
+GR_Parameter_RESULT = r39
+GR_Parameter_TAG    = r40
+
+
+FR_X                = f10
+FR_Y                = f1
+FR_RESULT           = f8
+
+
+FR_COEFF1           = f6
+FR_COEFF2           = f7
+FR_R                = f9
+
+FR_KF0              = f12
+FR_COEFF3           = f13
+FR_COEFF4           = f14
+FR_UF_LIMIT         = f15
+
+FR_OF_LIMIT         = f32
+FR_EXPMIN           = f33
+FR_ROUNDVAL         = f34
+FR_KF               = f35
+
+FR_2_TO_K           = f36
+FR_T_low            = f37
+FR_T_high           = f38
+FR_P34              = f39
+FR_R2               = f40
+
+FR_P12              = f41
+FR_T_low_K          = f42
+FR_P14              = f43
+FR_T                = f44
+FR_P                = f45
+
+
+// Data tables
+//==============================================================
+
+RODATA
+
+.align 16
+
+LOCAL_OBJECT_START(poly_coeffs)
+
+data8 0x3fac6b08d704a0c0, 0x3f83b2ab6fba4e77 // C_3 and C_4
+data8 0xb17217f7d1cf79ab, 0x00003ffe // C_1
+data8 0xf5fdeffc162c7541, 0x00003ffc // C_2
+LOCAL_OBJECT_END(poly_coeffs)
+
+
+LOCAL_OBJECT_START(T_table)
+
+// 2^{0.00000 b6 b7 b8 b9 b10}
+data8 0x8000000000000000, 0x8016302f17467628
+data8 0x802c6436d0e04f50, 0x80429c17d77c18ed
+data8 0x8058d7d2d5e5f6b0, 0x806f17687707a7af
+data8 0x80855ad965e88b83, 0x809ba2264dada76a
+data8 0x80b1ed4fd999ab6c, 0x80c83c56b50cf77f
+data8 0x80de8f3b8b85a0af, 0x80f4e5ff089f763e
+data8 0x810b40a1d81406d4, 0x81219f24a5baa59d
+data8 0x813801881d886f7b, 0x814e67cceb90502c
+data8 0x8164d1f3bc030773, 0x817b3ffd3b2f2e47
+data8 0x8191b1ea15813bfd, 0x81a827baf7838b78
+data8 0x81bea1708dde6055, 0x81d51f0b8557ec1c
+data8 0x81eba08c8ad4536f, 0x820225f44b55b33b
+data8 0x8218af4373fc25eb, 0x822f3c7ab205c89a
+data8 0x8245cd9ab2cec048, 0x825c62a423d13f0c
+data8 0x8272fb97b2a5894c, 0x828998760d01faf3
+data8 0x82a0393fe0bb0ca8, 0x82b6ddf5dbc35906
+//
+//
+// 2^{0.b1 b2 b3 b4 b5}
+data8 0x8000000000000000, 0x82cd8698ac2ba1d7
+data8 0x85aac367cc487b14, 0x88980e8092da8527
+data8 0x8b95c1e3ea8bd6e6, 0x8ea4398b45cd53c0
+data8 0x91c3d373ab11c336, 0x94f4efa8fef70961
+data8 0x9837f0518db8a96f, 0x9b8d39b9d54e5538
+data8 0x9ef5326091a111ad, 0xa27043030c496818
+data8 0xa5fed6a9b15138ea, 0xa9a15ab4ea7c0ef8
+data8 0xad583eea42a14ac6, 0xb123f581d2ac258f
+data8 0xb504f333f9de6484, 0xb8fbaf4762fb9ee9
+data8 0xbd08a39f580c36be, 0xc12c4cca66709456
+data8 0xc5672a115506dadd, 0xc9b9bd866e2f27a2
+data8 0xce248c151f8480e3, 0xd2a81d91f12ae45a
+data8 0xd744fccad69d6af4, 0xdbfbb797daf23755
+data8 0xe0ccdeec2a94e111, 0xe5b906e77c8348a8
+data8 0xeac0c6e7dd24392e, 0xefe4b99bdcdaf5cb
+data8 0xf5257d152486cc2c, 0xfa83b2db722a033a
+LOCAL_OBJECT_END(T_table)
+
+
+
+.section .text
+GLOBAL_LIBM_ENTRY(exp2)
+
+
+{.mfi
+       alloc r32= ar.pfs, 1, 4, 4, 0
+       // will continue only for non-zero normal/denormal numbers
+       fclass.nm p12, p0= f8, 0x1b
+       // GR_TBL_START= pointer to C_1...C_4 followed by T_table
+       addl GR_TBL_START= @ltoff(poly_coeffs), gp
+}
+{.mlx
+       mov GR_OF_LIMIT= 0xffff + 10              // Exponent of overflow limit
+       movl GR_ROUNDVAL= 0x5a400000              // 1.5*2^(63-10) (SP)
+}
+;;
+
+// Form special constant 1.5*2^(63-10) to give integer part and first 10
+// fractional bits of x
+{.mfi
+       setf.s FR_ROUNDVAL= GR_ROUNDVAL           // Form special constant
+       fcmp.lt.s1 p6, p8= f8, f0                 // X<0 ?
+       nop.i 0
+}
+{.mfb
+       ld8 GR_COEFF_START= [ GR_TBL_START ]      // Load pointer to coeff table
+       nop.f 0
+ (p12) br.cond.spnt SPECIAL_exp2                 // Branch if nan, inf, zero
+}
+;;
+
+{.mlx
+       setf.exp FR_OF_LIMIT= GR_OF_LIMIT         // Set overflow limit
+       movl GR_UF_LIMIT= 0xc4866000              // (-2^10-51) = -1075
+}
+;;
+
+{.mfi
+       ldfpd FR_COEFF3, FR_COEFF4= [ GR_COEFF_START ], 16 // load C_3, C_4
+       fma.s0 f8= f8, f1, f0                     // normalize x
+       nop.i 0
+}
+;;
+
+{.mmi
+       setf.s FR_UF_LIMIT= GR_UF_LIMIT           // Set underflow limit
+       ldfe FR_COEFF1= [ GR_COEFF_START ], 16    // load C_1
+       mov GR_EXP_CORR= 0xffff-126
+}
+;;
+
+{.mfi
+       ldfe FR_COEFF2= [ GR_COEFF_START ], 16    // load C_2
+       fma.s1 FR_KF0= f8, f1, FR_ROUNDVAL        // y= x + 1.5*2^(63-10)
+       nop.i 0
+}
+;;
+
+{.mfi
+       mov GR_MASK= 1023
+       fms.s1 FR_KF= FR_KF0, f1, FR_ROUNDVAL     // (K+f)
+       mov GR_MASK_low= 31
+}
+;;
+
+{.mfi
+       getf.sig GR_KF0= FR_KF0                   // (K+f)*2^10= round_to_int(y)
+       fcmp.ge.s1 p12, p7= f8, FR_OF_LIMIT       // x >= overflow threshold ?
+       add GR_LOG_TBL= 256, GR_COEFF_START       // Pointer to high T_table
+}
+;;
+
+{.mmi
+       and GR_F_low= GR_KF0, GR_MASK_low         // f_low
+       and GR_F_high= GR_MASK, GR_KF0            // f_high*32
+       shr GR_K= GR_KF0, 10                      // K
+}
+;;
+
+{.mmi
+       shladd GR_Flow_ADDR= GR_F_low, 3, GR_COEFF_START // address of 2^{f_low}
+       add GR_BIAS= GR_K, GR_EXP_CORR            // K= bias-2*63
+       shr GR_Fh= GR_F_high, 5                   // f_high
+}
+;;
+
+{.mfi
+       setf.exp FR_2_TO_K= GR_BIAS               // 2^{K-126}
+       fnma.s1 FR_R= FR_KF, f1, f8               // r= x - (K+f)
+       shladd GR_Fh_ADDR= GR_Fh, 3, GR_LOG_TBL   // address of 2^{f_high}
+}
+{.mlx
+       ldf8 FR_T_low= [ GR_Flow_ADDR ]           // load T_low= 2^{f_low}
+       movl GR_EMIN= 0xc47f8000                  // EMIN= -1022
+}
+;;
+
+{.mfi
+       ldf8 FR_T_high= [ GR_Fh_ADDR ]            // load T_high= 2^{f_high}
+ (p7)  fcmp.lt.s1 p12, p7= f8, FR_UF_LIMIT       // x<underflow threshold ?
+       nop.i 0
+}
+;;
+
+{.mfi
+       setf.s FR_EXPMIN= GR_EMIN                 // FR_EXPMIN= EMIN
+       fma.s1 FR_P34= FR_COEFF4, FR_R, FR_COEFF3 // P34= C_3+C_4*r
+       nop.i 0
+}
+{.mfb
+       nop.m 0
+       fma.s1 FR_R2= FR_R, FR_R, f0              // r*r
+ (p12) br.cond.spnt OUT_RANGE_exp2
+}
+;;
+
+{.mfi
+       nop.m 0
+       fma.s1 FR_P12= FR_COEFF2, FR_R, FR_COEFF1 // P12= C_1+C_2*r
+       nop.i 0
+}
+;;
+
+{.mfi
+       nop.m 0
+       fma.s1 FR_T_low_K= FR_T_low, FR_2_TO_K, f0 // T= 2^{K-126}*T_low
+       nop.i 0
+}
+;;
+
+{.mfi
+       nop.m 0
+       fma.s1 FR_P14= FR_R2, FR_P34, FR_P12       // P14= P12+r2*P34
+       nop.i 0
+}
+;;
+
+{.mfi
+       nop.m 0
+       fma.s1 FR_T= FR_T_low_K, FR_T_high, f0     // T= T*T_high
+       nop.i 0
+}
+;;
+
+{.mfi
+       nop.m 0
+       fcmp.lt.s0 p6, p8= f8, FR_EXPMIN           // underflow (x<EMIN) ?
+       nop.i 0
+}
+;;
+
+{.mfi
+       nop.m 0
+       fma.s1 FR_P= FR_P14, FR_R, f0              // P= P14*r
+       nop.i 0
+}
+;;
+
+{.mfb
+       nop.m 0
+       fma.d.s0 f8= FR_P, FR_T, FR_T              // result= T+T*P
+ (p8)  br.ret.sptk b0                             // return
+}
+;;
+
+{.mfb
+ (p6)  mov GR_Parameter_TAG= 162
+       nop.f 0
+ (p6)  br.cond.sptk __libm_error_region
+}
+;;
+
+
+SPECIAL_exp2:
+{.mfi
+       nop.m 0
+       fclass.m p6, p0= f8, 0x22                  // x= -Infinity ?
+       nop.i 0
+}
+;;
+
+{.mfi
+       nop.m 0
+       fclass.m p7, p0= f8, 0x21                  // x= +Infinity ?
+       nop.i 0
+}
+;;
+
+{.mfi
+       nop.m 0
+       fclass.m p8, p0= f8, 0x7                   // x= +/-Zero ?
+       nop.i 0
+}
+{.mfb
+       nop.m 0
+ (p6)  mov f8= f0                                 // exp2(-Infinity)= 0
+ (p6)  br.ret.spnt b0
+}
+;;
+
+{.mfb
+       nop.m 0
+       nop.f 0
+ (p7)  br.ret.spnt b0                             // exp2(+Infinity)= +Infinity
+}
+;;
+
+{.mfb
+       nop.m 0
+ (p8)  mov f8= f1                                 // exp2(+/-0)= 1
+ (p8)  br.ret.spnt b0
+}
+;;
+
+{.mfb
+       nop.m 0
+       fma.d.s0 f8= f8, f1, f0                    // Remaining cases: NaNs
+       br.ret.sptk b0
+}
+;;
+
+
+OUT_RANGE_exp2:
+
+// overflow: p8= 1
+
+{.mii
+ (p8)  mov GR_EXPMAX= 0x1fffe
+       nop.i 0
+       nop.i 0
+}
+;;
+
+{.mmb
+ (p8)  mov GR_Parameter_TAG= 161
+ (p8)  setf.exp FR_R= GR_EXPMAX
+       nop.b 999
+}
+;;
+
+{.mfi
+       nop.m 999
+ (p8)  fma.d.s0 f8= FR_R, FR_R, f0                // Create overflow
+       nop.i 999
+}
+// underflow: p6= 1
+{.mii
+ (p6)  mov GR_Parameter_TAG= 162
+ (p6)  mov GR_EXPMAX= 1
+       nop.i 0
+}
+;;
+
+{.mmb
+       nop.m 0
+ (p6)  setf.exp FR_R= GR_EXPMAX
+       nop.b 999
+}
+;;
+
+{.mfb
+       nop.m 999
+ (p6)  fma.d.s0 f8= FR_R, FR_R, f0                // Create underflow
+       nop.b 0
+}
+;;
+
+GLOBAL_LIBM_END(exp2)
+
+LOCAL_LIBM_ENTRY(__libm_error_region)
+
+.prologue
+{.mfi
+       add GR_Parameter_Y= -32, sp                // Parameter 2 value
+       nop.f 0
+.save ar.pfs, GR_SAVE_PFS
+       mov GR_SAVE_PFS= ar.pfs                    // Save ar.pfs
+}
+
+{.mfi
+.fframe 64
+       add sp= -64, sp                            // Create new stack
+       nop.f 0
+       mov GR_SAVE_GP= gp                         // Save gp
+}
+;;
+
+{.mmi
+       stfd [ GR_Parameter_Y ]= FR_Y, 16          // STORE Parameter 2 on stack
+       add GR_Parameter_X= 16, sp                 // Parameter 1 address
+.save b0, GR_SAVE_B0
+       mov GR_SAVE_B0= b0                         // Save b0
+}
+;;
+
+.body
+{.mib
+       stfd [ GR_Parameter_X ]= FR_X              // STORE Parameter 1 on stack
+       add GR_Parameter_RESULT= 0, GR_Parameter_Y // Parameter 3 address
+       nop.b 0
+}
+{.mib
+       stfd [ GR_Parameter_Y ]= FR_RESULT         // STORE Parameter 3 on stack
+       add GR_Parameter_Y= -16, GR_Parameter_Y
+       br.call.sptk b0= __libm_error_support#    // Call error handling function
+}
+;;
+
+{.mmi
+       add GR_Parameter_RESULT= 48, sp
+       nop.m 0
+       nop.i 0
+}
+;;
+
+{.mmi
+       ldfd f8= [ GR_Parameter_RESULT ]          // Get return result off stack
+.restore sp
+       add sp= 64, sp                            // Restore stack pointer
+       mov b0= GR_SAVE_B0                        // Restore return address
+}
+;;
+
+{.mib
+       mov gp= GR_SAVE_GP                        // Restore gp
+       mov ar.pfs= GR_SAVE_PFS                   // Restore ar.pfs
+       br.ret.sptk b0                            // Return
+}
+;;
+
+
+LOCAL_LIBM_END(__libm_error_region)
+
+.type __libm_error_support#, @function
+.global __libm_error_support#
diff --git a/sysdeps/ia64/fpu/e_exp2f.S b/sysdeps/ia64/fpu/e_exp2f.S
new file mode 100644
index 0000000000..f785b70e65
--- /dev/null
+++ b/sysdeps/ia64/fpu/e_exp2f.S
@@ -0,0 +1,538 @@
+.file "exp2f.s"
+
+
+// Copyright (c) 2000 - 2003, Intel Corporation
+// All rights reserved.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
+//
+// Redistribution and use in source and binary forms, with or without
+// modification, are permitted provided that the following conditions are
+// met:
+//
+// * Redistributions of source code must retain the above copyright
+// notice, this list of conditions and the following disclaimer.
+//
+// * Redistributions in binary form must reproduce the above copyright
+// notice, this list of conditions and the following disclaimer in the
+// documentation and/or other materials provided with the distribution.
+//
+// * The name of Intel Corporation may not be used to endorse or promote
+// products derived from this software without specific prior written
+// permission.
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
+// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
+// OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+//
+// Intel Corporation is the author of this code, and requests that all
+// problem reports or change requests be submitted to it directly at
+// http: //www.intel.com/software/products/opensource/libraries/num.htm.
+//
+// History
+//==============================================================
+// 08/25/00  Initial version
+// 05/20/02  Cleaned up namespace and sf0 syntax
+// 09/05/02  Improved performance and accuracy
+// 01/17/03  Fixed to call error support when x=128.0
+//
+// API
+//==============================================================
+// float exp2f(float)
+//
+// Overview of operation
+//==============================================================
+// Background
+//
+// Implementation
+//
+// Let x= (K + fh + fl + r), where
+// K is an integer, fh= 0.b1 b2 b3 b4 b5,
+// fl= 2^{-5}* 0.b6 b7 b8 b8 b10 (fh, fl >= 0),
+// and |r|<2^{-11}
+// Th is a table that stores 2^fh (32 entries) rounded to
+// double extended precision (only mantissa is stored)
+// Tl is a table that stores 2^fl (32 entries) rounded to
+// double extended precision (only mantissa is stored)
+//
+// 2^x is approximated as
+// 2^K * Th [ f ] * Tl [ f ] * (1+c1*r+c2*r^2)
+
+// Note: We use the following trick to speed up conversion from FP to integer:
+//
+// Let  x = K + r, where K is an integer, and  |r| <= 0.5
+// Let N be the number of significand bits for the FP format used
+//   ( N=64 for double-extended, N=53 for double)
+//
+// Then let y = 1.5 * 2^(N-1)  +  x    for RN mode
+//          K = y -  1.5 * 2^(N-1)
+//          r  = x - K
+//
+// If we want to obtain the integer part and the first m fractional bits of x,
+// we can use the same trick, but with a constant of  1.5 * 2^(N-1-m):
+//
+// Let x = K + f + r
+// f = 0.b_1 b_2 ... b_m
+// |r| <= 2^(-m-1)
+//
+// Then let y = 1.5 * 2^(N-1-m)  +  x    for RN mode
+//          (K+f) = y -  1.5 * 2^(N-1-m)
+//          r  = x - K
+
+
+// Special values
+//==============================================================
+// exp2(0)= 1
+// exp2(+inf)= inf
+// exp2(-inf)= 0
+//
+
+// Registers used
+//==============================================================
+// r2-r3, r14-r40
+// f6-f15, f32-f45
+// p6-p8, p12
+//
+
+
+GR_TBL_START        = r2
+GR_LOG_TBL          = r3
+
+GR_OF_LIMIT         = r14
+GR_UF_LIMIT         = r15
+GR_EXP_CORR         = r16
+GR_F_low            = r17
+GR_F_high           = r18
+GR_K                = r19
+GR_Flow_ADDR        = r20
+
+GR_BIAS             = r21
+GR_Fh               = r22
+GR_Fh_ADDR          = r23
+GR_EXPMAX           = r24
+GR_EMIN             = r25
+
+GR_ROUNDVAL         = r26
+GR_MASK             = r27
+GR_KF0              = r28
+GR_MASK_low         = r29
+GR_COEFF_START      = r30
+
+GR_SAVE_B0          = r33
+GR_SAVE_PFS         = r34
+GR_SAVE_GP          = r35
+GR_SAVE_SP          = r36
+
+GR_Parameter_X      = r37
+GR_Parameter_Y      = r38
+GR_Parameter_RESULT = r39
+GR_Parameter_TAG    = r40
+
+
+FR_X                = f10
+FR_Y                = f1
+FR_RESULT           = f8
+
+
+FR_COEFF1           = f6
+FR_COEFF2           = f7
+FR_R                = f9
+
+FR_KF0              = f12
+FR_UF_LIMIT         = f15
+
+FR_OF_LIMIT         = f32
+FR_EXPMIN           = f33
+FR_ROUNDVAL         = f34
+FR_KF               = f35
+
+FR_2_TO_K           = f36
+FR_T_low            = f37
+FR_T_high           = f38
+
+FR_P12              = f41
+FR_T_low_K          = f42
+FR_T                = f44
+FR_P                = f45
+
+
+// Data tables
+//==============================================================
+
+RODATA
+
+.align 16
+
+LOCAL_OBJECT_START(poly_coeffs)
+
+data8 0xb17217f7d1cf79ab, 0x00003ffe // C_1
+data8 0xf5fdeffc162c7541, 0x00003ffc // C_2
+LOCAL_OBJECT_END(poly_coeffs)
+
+
+LOCAL_OBJECT_START(T_table)
+
+// 2^{0.00000 b6 b7 b8 b9 b10}
+data8 0x8000000000000000, 0x8016302f17467628
+data8 0x802c6436d0e04f50, 0x80429c17d77c18ed
+data8 0x8058d7d2d5e5f6b0, 0x806f17687707a7af
+data8 0x80855ad965e88b83, 0x809ba2264dada76a
+data8 0x80b1ed4fd999ab6c, 0x80c83c56b50cf77f
+data8 0x80de8f3b8b85a0af, 0x80f4e5ff089f763e
+data8 0x810b40a1d81406d4, 0x81219f24a5baa59d
+data8 0x813801881d886f7b, 0x814e67cceb90502c
+data8 0x8164d1f3bc030773, 0x817b3ffd3b2f2e47
+data8 0x8191b1ea15813bfd, 0x81a827baf7838b78
+data8 0x81bea1708dde6055, 0x81d51f0b8557ec1c
+data8 0x81eba08c8ad4536f, 0x820225f44b55b33b
+data8 0x8218af4373fc25eb, 0x822f3c7ab205c89a
+data8 0x8245cd9ab2cec048, 0x825c62a423d13f0c
+data8 0x8272fb97b2a5894c, 0x828998760d01faf3
+data8 0x82a0393fe0bb0ca8, 0x82b6ddf5dbc35906
+//
+//
+// 2^{0.b1 b2 b3 b4 b5}
+data8 0x8000000000000000, 0x82cd8698ac2ba1d7
+data8 0x85aac367cc487b14, 0x88980e8092da8527
+data8 0x8b95c1e3ea8bd6e6, 0x8ea4398b45cd53c0
+data8 0x91c3d373ab11c336, 0x94f4efa8fef70961
+data8 0x9837f0518db8a96f, 0x9b8d39b9d54e5538
+data8 0x9ef5326091a111ad, 0xa27043030c496818
+data8 0xa5fed6a9b15138ea, 0xa9a15ab4ea7c0ef8
+data8 0xad583eea42a14ac6, 0xb123f581d2ac258f
+data8 0xb504f333f9de6484, 0xb8fbaf4762fb9ee9
+data8 0xbd08a39f580c36be, 0xc12c4cca66709456
+data8 0xc5672a115506dadd, 0xc9b9bd866e2f27a2
+data8 0xce248c151f8480e3, 0xd2a81d91f12ae45a
+data8 0xd744fccad69d6af4, 0xdbfbb797daf23755
+data8 0xe0ccdeec2a94e111, 0xe5b906e77c8348a8
+data8 0xeac0c6e7dd24392e, 0xefe4b99bdcdaf5cb
+data8 0xf5257d152486cc2c, 0xfa83b2db722a033a
+LOCAL_OBJECT_END(T_table)
+
+
+
+.section .text
+GLOBAL_LIBM_ENTRY(exp2f)
+
+
+{.mfi
+       alloc r32= ar.pfs, 1, 4, 4, 0
+       // will continue only for non-zero normal/denormal numbers
+       fclass.nm p12, p0= f8, 0x1b
+       // GR_TBL_START= pointer to C_1...C_2 followed by T_table
+       addl GR_TBL_START= @ltoff(poly_coeffs), gp
+}
+{.mlx
+       mov GR_OF_LIMIT= 0xffff + 7               // Exponent of overflow limit
+       movl GR_ROUNDVAL= 0x5a400000              // 1.5*2^(63-10) (SP)
+}
+;;
+
+// Form special constant 1.5*2^(63-10) to give integer part and first 10
+// fractional bits of x
+{.mfi
+       setf.s FR_ROUNDVAL= GR_ROUNDVAL           // Form special constant
+       fcmp.lt.s1 p6, p8= f8, f0                 // X<0 ?
+       nop.i 0
+}
+{.mfb
+       ld8 GR_COEFF_START= [ GR_TBL_START ]      // Load pointer to coeff table
+       nop.f 0
+ (p12) br.cond.spnt SPECIAL_exp2                 // Branch if nan, inf, zero
+}
+;;
+
+{.mlx
+       setf.exp FR_OF_LIMIT= GR_OF_LIMIT         // Set overflow limit
+       movl GR_UF_LIMIT= 0xc3160000              // (-2^7-22) = -150
+}
+;;
+
+{.mfi
+       ldfe FR_COEFF1= [ GR_COEFF_START ], 16    // load C_1
+       fma.s0 f8= f8, f1, f0                     // normalize x
+       nop.i 0
+}
+;;
+
+{.mmi
+       ldfe FR_COEFF2= [ GR_COEFF_START ], 16    // load C_2
+       setf.s FR_UF_LIMIT= GR_UF_LIMIT           // Set underflow limit
+       mov GR_EXP_CORR= 0xffff-126
+}
+;;
+
+{.mfi
+       nop.m 0
+       fma.s1 FR_KF0= f8, f1, FR_ROUNDVAL        // y= x + 1.5*2^(63-10)
+       nop.i 0
+}
+;;
+
+{.mfi
+       mov GR_MASK= 1023
+       fms.s1 FR_KF= FR_KF0, f1, FR_ROUNDVAL     // (K+f)
+       mov GR_MASK_low= 31
+}
+;;
+
+{.mfi
+       getf.sig GR_KF0= FR_KF0                   // (K+f)*2^10= round_to_int(y)
+       fcmp.ge.s1 p12, p7= f8, FR_OF_LIMIT       // x >= overflow threshold ?
+       add GR_LOG_TBL= 256, GR_COEFF_START       // Pointer to high T_table
+}
+;;
+
+{.mmi
+       and GR_F_low= GR_KF0, GR_MASK_low         // f_low
+       and GR_F_high= GR_MASK, GR_KF0            // f_high*32
+       shr GR_K= GR_KF0, 10                      // K
+}
+;;
+
+{.mmi
+       shladd GR_Flow_ADDR= GR_F_low, 3, GR_COEFF_START // address of 2^{f_low}
+       add GR_BIAS= GR_K, GR_EXP_CORR            // K= bias-2*63
+       shr GR_Fh= GR_F_high, 5                   // f_high
+}
+;;
+
+{.mfi
+       setf.exp FR_2_TO_K= GR_BIAS               // 2^{K-126}
+       fnma.s1 FR_R= FR_KF, f1, f8               // r= x - (K+f)
+       shladd GR_Fh_ADDR= GR_Fh, 3, GR_LOG_TBL   // address of 2^{f_high}
+}
+{.mlx
+       ldf8 FR_T_low= [ GR_Flow_ADDR ]           // load T_low= 2^{f_low}
+       movl GR_EMIN= 0xc2fc0000                  // EMIN= -126
+}
+;;
+
+{.mfi
+       ldf8 FR_T_high= [ GR_Fh_ADDR ]            // load T_high= 2^{f_high}
+ (p7)  fcmp.lt.s1 p12, p7= f8, FR_UF_LIMIT       // x<underflow threshold ?
+       nop.i 0
+}
+;;
+
+{.mfb
+       setf.s FR_EXPMIN= GR_EMIN                 // FR_EXPMIN= EMIN
+       fma.s1 FR_P12= FR_COEFF2, FR_R, FR_COEFF1 // P12= C_1+C_2*r
+ (p12) br.cond.spnt OUT_RANGE_exp2
+}
+;;
+
+{.mfi
+       nop.m 0
+       fma.s1 FR_T_low_K= FR_T_low, FR_2_TO_K, f0 // T= 2^{K-126}*T_low
+       nop.i 0
+}
+;;
+
+{.mfi
+       nop.m 0
+       fma.s1 FR_P= FR_R, FR_P12, f0              // P= P12+r
+       nop.i 0
+}
+;;
+
+{.mfi
+       nop.m 0
+       fma.s1 FR_T= FR_T_low_K, FR_T_high, f0     // T= T*T_high
+       nop.i 0
+}
+;;
+
+{.mfi
+       nop.m 0
+       fcmp.lt.s0 p6, p8= f8, FR_EXPMIN           // underflow (x<EMIN) ?
+       nop.i 0
+}
+;;
+
+{.mfb
+       nop.m 0
+       fma.s.s0 f8= FR_P, FR_T, FR_T              // result= T+T*P
+ (p8)  br.ret.sptk b0                             // return
+}
+;;
+
+{.mfb
+ (p6)  mov GR_Parameter_TAG= 164
+       nop.f 0
+ (p6)  br.cond.sptk __libm_error_region
+}
+;;
+
+
+SPECIAL_exp2:
+{.mfi
+       nop.m 0
+       fclass.m p6, p0= f8, 0x22                  // x= -Infinity ?
+       nop.i 0
+}
+;;
+
+{.mfi
+       nop.m 0
+       fclass.m p7, p0= f8, 0x21                  // x= +Infinity ?
+       nop.i 0
+}
+;;
+
+{.mfi
+       nop.m 0
+       fclass.m p8, p0= f8, 0x7                   // x= +/-Zero ?
+       nop.i 0
+}
+{.mfb
+       nop.m 0
+ (p6)  mov f8= f0                                 // exp2(-Infinity)= 0
+ (p6)  br.ret.spnt b0
+}
+;;
+
+{.mfb
+       nop.m 0
+       nop.f 0
+ (p7)  br.ret.spnt b0                             // exp2(+Infinity)= +Infinity
+}
+;;
+
+{.mfb
+       nop.m 0
+ (p8)  mov f8= f1                                 // exp2(+/-0)= 1
+ (p8)  br.ret.spnt b0
+}
+;;
+
+{.mfb
+       nop.m 0
+       fma.s.s0 f8= f8, f1, f0                    // Remaining cases: NaNs
+       br.ret.sptk b0
+}
+;;
+
+
+OUT_RANGE_exp2:
+
+// overflow: p8= 1
+
+{.mii
+ (p8)  mov GR_EXPMAX= 0x1fffe
+       nop.i 0
+       nop.i 0
+}
+;;
+
+{.mmb
+ (p8)  mov GR_Parameter_TAG= 163
+ (p8)  setf.exp FR_R= GR_EXPMAX
+       nop.b 999
+}
+;;
+
+{.mfi
+       nop.m 999
+ (p8)  fma.s.s0 f8= FR_R, FR_R, f0                // Create overflow
+       nop.i 999
+}
+// underflow: p6= 1
+{.mii
+ (p6)  mov GR_Parameter_TAG= 164
+ (p6)  mov GR_EXPMAX= 1
+       nop.i 0
+}
+;;
+
+{.mmb
+       nop.m 0
+ (p6)  setf.exp FR_R= GR_EXPMAX
+       nop.b 999
+}
+;;
+
+{.mfb
+       nop.m 999
+ (p6)  fma.s.s0 f8= FR_R, FR_R, f0                // Create underflow
+       nop.b 0
+}
+;;
+
+GLOBAL_LIBM_END(exp2f)
+
+LOCAL_LIBM_ENTRY(__libm_error_region)
+
+.prologue
+{.mfi
+       add GR_Parameter_Y= -32, sp                // Parameter 2 value
+       nop.f 0
+.save ar.pfs, GR_SAVE_PFS
+       mov GR_SAVE_PFS= ar.pfs                    // Save ar.pfs
+}
+
+{.mfi
+.fframe 64
+       add sp= -64, sp                            // Create new stack
+       nop.f 0
+       mov GR_SAVE_GP= gp                         // Save gp
+}
+;;
+
+{.mmi
+       stfs [ GR_Parameter_Y ]= FR_Y, 16          // STORE Parameter 2 on stack
+       add GR_Parameter_X= 16, sp                 // Parameter 1 address
+.save b0, GR_SAVE_B0
+       mov GR_SAVE_B0= b0                         // Save b0
+}
+;;
+
+.body
+{.mib
+       stfs [ GR_Parameter_X ]= FR_X              // STORE Parameter 1 on stack
+       add GR_Parameter_RESULT= 0, GR_Parameter_Y // Parameter 3 address
+       nop.b 0
+}
+{.mib
+       stfs [ GR_Parameter_Y ]= FR_RESULT         // STORE Parameter 3 on stack
+       add GR_Parameter_Y= -16, GR_Parameter_Y
+       br.call.sptk b0= __libm_error_support#    // Call error handling function
+}
+;;
+
+{.mmi
+       add GR_Parameter_RESULT= 48, sp
+       nop.m 0
+       nop.i 0
+}
+;;
+
+{.mmi
+       ldfs f8= [ GR_Parameter_RESULT ]          // Get return result off stack
+.restore sp
+       add sp= 64, sp                            // Restore stack pointer
+       mov b0= GR_SAVE_B0                        // Restore return address
+}
+;;
+
+{.mib
+       mov gp= GR_SAVE_GP                        // Restore gp
+       mov ar.pfs= GR_SAVE_PFS                   // Restore ar.pfs
+       br.ret.sptk b0                            // Return
+}
+;;
+
+
+LOCAL_LIBM_END(__libm_error_region)
+
+.type __libm_error_support#, @function
+.global __libm_error_support#
diff --git a/sysdeps/ia64/fpu/e_exp2l.S b/sysdeps/ia64/fpu/e_exp2l.S
new file mode 100644
index 0000000000..6e2a62ad91
--- /dev/null
+++ b/sysdeps/ia64/fpu/e_exp2l.S
@@ -0,0 +1,806 @@
+.file "exp2l.s"
+
+
+// Copyright (c) 2000 - 2003, Intel Corporation
+// All rights reserved.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
+//
+// Redistribution and use in source and binary forms, with or without
+// modification, are permitted provided that the following conditions are
+// met:
+//
+// * Redistributions of source code must retain the above copyright
+// notice, this list of conditions and the following disclaimer.
+//
+// * Redistributions in binary form must reproduce the above copyright
+// notice, this list of conditions and the following disclaimer in the
+// documentation and/or other materials provided with the distribution.
+//
+// * The name of Intel Corporation may not be used to endorse or promote
+// products derived from this software without specific prior written
+// permission.
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
+// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
+// OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+//
+// Intel Corporation is the author of this code, and requests that all
+// problem reports or change requests be submitted to it directly at
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
+//
+// History
+//==============================================================
+// 07/27/00 Initial version
+// 08/15/00 Bundle added after call to __libm_error_support to properly
+// set [ the previously overwritten ] GR_Parameter_RESULT.
+// 02/02/01 Added libm_error_support calls for underflow
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 02/06/03 Reordered header: .section, .global, .proc, .align
+// 05/07/03 Reformatted assembly source
+//
+// API
+//==============================================================
+// long double exp2l(long double)
+//
+// Overview of operation
+//==============================================================
+// Background
+//
+// Implementation
+//
+// Let x= K + f + r, where
+// K is an integer, f= 0.b1 b2... b8 (f>= 0),
+// and |r|<2^{-8}
+// T is a table that stores 2^f (256 entries) rounded to
+// double extended precision (only mantissa is stored)
+// D stores (2^f/T [ f ] - 1), rounded to single precision
+//
+// 2^x is approximated as
+// 2^K * T [ f ] * (1+D [ f ] +c1*r+c2*r^2+...+c6*r^6)
+//
+
+
+
+// Special values
+//==============================================================
+// exp2(0)= 1
+// exp2(+inf)= inf
+// exp2(-inf)= 0
+//
+
+
+// Registers used
+//==============================================================
+// f6-f15, f32-f46
+// r2-r3, r8-r11, r14-r40
+// p6, p7, p8, p12
+
+       FR_X        = f10
+       FR_Y        = f1
+       FR_RESULT   = f8
+
+       FR_KF0      = f6
+       FR_EXP63    = f7
+       FR_T        = f9
+       FR_COEFF3   = f10
+       FR_COEFF4   = f11
+       FR_COEFF5   = f12
+       FR_COEFF6   = f13
+       FR_COEFF1   = f14
+       FR_COEFF2   = f15
+       FR_2P14     = f32
+       FR_UF_TEST  = f33
+       FR_D        = f34
+       FR_R        = f35
+       FR_2EXP     = f36
+       FR_EMIN     = f37
+       FR_P34      = f38
+       FR_P56      = f39
+       FR_R2       = f40
+       FR_P12      = f41
+       FR_TS       = f42
+       FR_P36      = f43
+       FR_P02      = f44
+       FR_R3       = f45
+       FR_P06      = f46
+
+
+       GR_ADDR0    = r2
+       GR_ADDR     = r2
+       GR_D_ADDR0  = r3
+       GR_D_ADDR   = r3
+       GR_LEADBITS = r8
+       GR_256      = r9
+       GR_EM63     = r10
+       GR_255      = r11
+       GR_EXPON    = r14
+       GR_BM63     = r15
+       GR_UF_TEST  = r16
+       GR_INDEX    = r17
+       GR_K        = r18
+       GR_KF       = r19
+       GR_2P14     = r19
+       GR_EMIN     = r20
+       GR_IT       = r21
+       GR_ID       = r22
+       GR_63       = r23
+       GR_CONST1   = r24
+       GR_EBIAS    = r25
+       GR_CONST2   = r26
+       GR_CONST3   = r27
+       GR_SIGNIF   = r28
+       GR_ARGEXP   = r29
+       GR_SGN      = r30
+       GR_EMIN1    = r31
+       GR_SREG     = r32
+
+       GR_SAVE_B0  = r33
+       GR_SAVE_PFS = r34
+       GR_SAVE_GP  = r35
+       GR_SAVE_SP  = r36
+
+       GR_Parameter_X     = r37
+       GR_Parameter_Y     = r38
+       GR_Parameter_RESULT= r39
+       GR_Parameter_TAG   = r40
+
+
+// Data tables
+//==============================================================
+
+RODATA
+
+.align 16
+
+LOCAL_OBJECT_START(poly_coeffs)
+
+       data8 0x3fac6b08d704a0c0 // C_3
+       data8 0x3f83b2ab6fba4e77 // C_4
+       data8 0x3f55d87fe78a6731 // C_5
+       data8 0x3f2430912f86c787 // C_6
+       data8 0xb17217f7d1cf79ab, 0x00003ffe // C_1
+       data8 0xf5fdeffc162c7541, 0x00003ffc // C_2
+LOCAL_OBJECT_END(poly_coeffs)
+
+
+LOCAL_OBJECT_START(T_table)
+
+       data8 0x8000000000000000, 0x8058d7d2d5e5f6b1
+       data8 0x80b1ed4fd999ab6c, 0x810b40a1d81406d4
+       data8 0x8164d1f3bc030773, 0x81bea1708dde6056
+       data8 0x8218af4373fc25ec, 0x8272fb97b2a5894c
+       data8 0x82cd8698ac2ba1d7, 0x83285071e0fc4547
+       data8 0x8383594eefb6ee37, 0x83dea15b9541b132
+       data8 0x843a28c3acde4046, 0x8495efb3303efd30
+       data8 0x84f1f656379c1a29, 0x854e3cd8f9c8c95d
+       data8 0x85aac367cc487b15, 0x86078a2f23642a9f
+       data8 0x8664915b923fba04, 0x86c1d919caef5c88
+       data8 0x871f61969e8d1010, 0x877d2afefd4e256c
+       data8 0x87db357ff698d792, 0x88398146b919f1d4
+       data8 0x88980e8092da8527, 0x88f6dd5af155ac6b
+       data8 0x8955ee03618e5fdd, 0x89b540a7902557a4
+       data8 0x8a14d575496efd9a, 0x8a74ac9a79896e47
+       data8 0x8ad4c6452c728924, 0x8b3522a38e1e1032
+       data8 0x8b95c1e3ea8bd6e7, 0x8bf6a434adde0085
+       data8 0x8c57c9c4646f4dde, 0x8cb932c1bae97a95
+       data8 0x8d1adf5b7e5ba9e6, 0x8d7ccfc09c50e2f8
+       data8 0x8ddf042022e69cd6, 0x8e417ca940e35a01
+       data8 0x8ea4398b45cd53c0, 0x8f073af5a2013520
+       data8 0x8f6a8117e6c8e5c4, 0x8fce0c21c6726481
+       data8 0x9031dc431466b1dc, 0x9095f1abc540ca6b
+       data8 0x90fa4c8beee4b12b, 0x915eed13c89689d3
+       data8 0x91c3d373ab11c336, 0x9228ffdc10a051ad
+       data8 0x928e727d9531f9ac, 0x92f42b88f673aa7c
+       data8 0x935a2b2f13e6e92c, 0x93c071a0eef94bc1
+       data8 0x9426ff0fab1c04b6, 0x948dd3ac8ddb7ed3
+       data8 0x94f4efa8fef70961, 0x955c5336887894d5
+       data8 0x95c3fe86d6cc7fef, 0x962bf1cbb8d97560
+       data8 0x96942d3720185a00, 0x96fcb0fb20ac4ba3
+       data8 0x97657d49f17ab08e, 0x97ce9255ec4357ab
+       data8 0x9837f0518db8a96f, 0x98a1976f7597e996
+       data8 0x990b87e266c189aa, 0x9975c1dd47518c77
+       data8 0x99e0459320b7fa65, 0x9a4b13371fd166ca
+       data8 0x9ab62afc94ff864a, 0x9b218d16f441d63d
+       data8 0x9b8d39b9d54e5539, 0x9bf93118f3aa4cc1
+       data8 0x9c6573682ec32c2d, 0x9cd200db8a0774cb
+       data8 0x9d3ed9a72cffb751, 0x9dabfdff6367a2aa
+       data8 0x9e196e189d472420, 0x9e872a276f0b98ff
+       data8 0x9ef5326091a111ae, 0x9f6386f8e28ba651
+       data8 0x9fd228256400dd06, 0xa041161b3d0121be
+       data8 0xa0b0510fb9714fc2, 0xa11fd9384a344cf7
+       data8 0xa18faeca8544b6e4, 0xa1ffd1fc25cea188
+       data8 0xa27043030c496819, 0xa2e102153e918f9e
+       data8 0xa3520f68e802bb93, 0xa3c36b345991b47c
+       data8 0xa43515ae09e6809e, 0xa4a70f0c95768ec5
+       data8 0xa5195786be9ef339, 0xa58bef536dbeb6ee
+       data8 0xa5fed6a9b15138ea, 0xa6720dc0be08a20c
+       data8 0xa6e594cfeee86b1e, 0xa7596c0ec55ff55b
+       data8 0xa7cd93b4e965356a, 0xa8420bfa298f70d1
+       data8 0xa8b6d5167b320e09, 0xa92bef41fa77771b
+       data8 0xa9a15ab4ea7c0ef8, 0xaa1717a7b5693979
+       data8 0xaa8d2652ec907629, 0xab0386ef48868de1
+       data8 0xab7a39b5a93ed337, 0xabf13edf162675e9
+       data8 0xac6896a4be3fe929, 0xace0413ff83e5d04
+       data8 0xad583eea42a14ac6, 0xadd08fdd43d01491
+       data8 0xae493452ca35b80e, 0xaec22c84cc5c9465
+       data8 0xaf3b78ad690a4375, 0xafb51906e75b8661
+       data8 0xb02f0dcbb6e04584, 0xb0a957366fb7a3c9
+       data8 0xb123f581d2ac2590, 0xb19ee8e8c94feb09
+       data8 0xb21a31a66618fe3b, 0xb295cff5e47db4a4
+       data8 0xb311c412a9112489, 0xb38e0e38419fae18
+       data8 0xb40aaea2654b9841, 0xb487a58cf4a9c180
+       data8 0xb504f333f9de6484, 0xb58297d3a8b9f0d2
+       data8 0xb60093a85ed5f76c, 0xb67ee6eea3b22b8f
+       data8 0xb6fd91e328d17791, 0xb77c94c2c9d725e9
+       data8 0xb7fbefca8ca41e7c, 0xb87ba337a1743834
+       data8 0xb8fbaf4762fb9ee9, 0xb97c143756844dbf
+       data8 0xb9fcd2452c0b9deb, 0xba7de9aebe5fea09
+       data8 0xbaff5ab2133e45fb, 0xbb81258d5b704b6f
+       data8 0xbc034a7ef2e9fb0d, 0xbc85c9c560e7b269
+       data8 0xbd08a39f580c36bf, 0xbd8bd84bb67ed483
+       data8 0xbe0f6809860993e2, 0xbe935317fc378238
+       data8 0xbf1799b67a731083, 0xbf9c3c248e2486f8
+       data8 0xc0213aa1f0d08db0, 0xc0a6956e8836ca8d
+       data8 0xc12c4cca66709456, 0xc1b260f5ca0fbb33
+       data8 0xc238d2311e3d6673, 0xc2bfa0bcfad907c9
+       data8 0xc346ccda24976407, 0xc3ce56c98d21b15d
+       data8 0xc4563ecc5334cb33, 0xc4de8523c2c07baa
+       data8 0xc5672a115506dadd, 0xc5f02dd6b0bbc3d9
+       data8 0xc67990b5aa245f79, 0xc70352f04336c51e
+       data8 0xc78d74c8abb9b15d, 0xc817f681416452b2
+       data8 0xc8a2d85c8ffe2c45, 0xc92e1a9d517f0ecc
+       data8 0xc9b9bd866e2f27a3, 0xca45c15afcc72624
+       data8 0xcad2265e4290774e, 0xcb5eecd3b38597c9
+       data8 0xcbec14fef2727c5d, 0xcc799f23d11510e5
+       data8 0xcd078b86503dcdd2, 0xcd95da6a9ff06445
+       data8 0xce248c151f8480e4, 0xceb3a0ca5dc6a55d
+       data8 0xcf4318cf191918c1, 0xcfd2f4683f94eeb5
+       data8 0xd06333daef2b2595, 0xd0f3d76c75c5db8d
+       data8 0xd184df6251699ac6, 0xd2164c023056bcab
+       data8 0xd2a81d91f12ae45a, 0xd33a5457a3029054
+       data8 0xd3ccf099859ac379, 0xd45ff29e0972c561
+       data8 0xd4f35aabcfedfa1f, 0xd5872909ab75d18a
+       data8 0xd61b5dfe9f9bce07, 0xd6aff9d1e13ba2fe
+       data8 0xd744fccad69d6af4, 0xd7da67311797f56a
+       data8 0xd870394c6db32c84, 0xd9067364d44a929c
+       data8 0xd99d15c278afd7b6, 0xda3420adba4d8704
+       data8 0xdacb946f2ac9cc72, 0xdb63714f8e295255
+       data8 0xdbfbb797daf23755, 0xdc9467913a4f1c92
+       data8 0xdd2d818508324c20, 0xddc705bcd378f7f0
+       data8 0xde60f4825e0e9124, 0xdefb4e1f9d1037f2
+       data8 0xdf9612deb8f04420, 0xe031430a0d99e627
+       data8 0xe0ccdeec2a94e111, 0xe168e6cfd3295d23
+       data8 0xe2055afffe83d369, 0xe2a23bc7d7d91226
+       data8 0xe33f8972be8a5a51, 0xe3dd444c46499619
+       data8 0xe47b6ca0373da88d, 0xe51a02ba8e26d681
+       data8 0xe5b906e77c8348a8, 0xe658797368b3a717
+       data8 0xe6f85aaaee1fce22, 0xe798aadadd5b9cbf
+       data8 0xe8396a503c4bdc68, 0xe8da9958464b42ab
+       data8 0xe97c38406c4f8c57, 0xea1e4756550eb27b
+       data8 0xeac0c6e7dd24392f, 0xeb63b74317369840
+       data8 0xec0718b64c1cbddc, 0xecaaeb8ffb03ab41
+       data8 0xed4f301ed9942b84, 0xedf3e6b1d418a491
+       data8 0xee990f980da3025b, 0xef3eab20e032bc6b
+       data8 0xefe4b99bdcdaf5cb, 0xf08b3b58cbe8b76a
+       data8 0xf13230a7ad094509, 0xf1d999d8b7708cc1
+       data8 0xf281773c59ffb13a, 0xf329c9233b6bae9c
+       data8 0xf3d28fde3a641a5b, 0xf47bcbbe6db9fddf
+       data8 0xf5257d152486cc2c, 0xf5cfa433e6537290
+       data8 0xf67a416c733f846e, 0xf7255510c4288239
+       data8 0xf7d0df730ad13bb9, 0xf87ce0e5b2094d9c
+       data8 0xf92959bb5dd4ba74, 0xf9d64a46eb939f35
+       data8 0xfa83b2db722a033a, 0xfb3193cc4227c3f4
+       data8 0xfbdfed6ce5f09c49, 0xfc8ec01121e447bb
+       data8 0xfd3e0c0cf486c175, 0xfdedd1b496a89f35
+       data8 0xfe9e115c7b8f884c, 0xff4ecb59511ec8a5
+LOCAL_OBJECT_END(T_table)
+
+
+LOCAL_OBJECT_START(D_table)
+
+       data4 0x00000000, 0x9f55c08f, 0x1e93ffa3, 0x1dcd43a8
+       data4 0x1f751f79, 0x9f3cdd88, 0x9f43d155, 0x1eda222c
+       data4 0x1ef35513, 0x9f597895, 0x9e698881, 0x1ec71073
+       data4 0x1e50e371, 0x9dc01e19, 0x1de74133, 0x1e2f028c
+       data4 0x9edefb47, 0x1ebbac48, 0x9e8b0330, 0x9e9e9314
+       data4 0x1edc1d11, 0x1f098529, 0x9f52827c, 0x1f50050d
+       data4 0x1f301e8e, 0x1f5b64d1, 0x9f45e3ee, 0x9ef64d6d
+       data4 0x1d6ec5e8, 0x9e61ad9a, 0x1d44ccbb, 0x9e4a8bbb
+       data4 0x9cf11576, 0x9dcce7e7, 0x9d02ac90, 0x1f26ccf0
+       data4 0x9f0877c6, 0x9ddd62ae, 0x9f4b7fc3, 0x1ea8ef6b
+       data4 0x1ea4378d, 0x1ef6fc38, 0x1db99fd9, 0x1f22bf6f
+       data4 0x1f53e172, 0x1e85504a, 0x9f37cc75, 0x1f0c5e17
+       data4 0x1dde8aac, 0x9cb42bb2, 0x1e153cd7, 0x1eb62bba
+       data4 0x9e9b941b, 0x9ea80e3c, 0x1f508823, 0x1ec3fd36
+       data4 0x1e9ffaa1, 0x1e21e2eb, 0x9d948b1d, 0x9e8ac93a
+       data4 0x1ef7ee6f, 0x9e80dda3, 0x1f0814be, 0x1dc5ddfe
+       data4 0x1eedb9d1, 0x9f2aaa26, 0x9ea5b0fc, 0x1edf702e
+       data4 0x9e391201, 0x1f1316bb, 0x1ea27fb7, 0x9e05ed18
+       data4 0x9f199ed2, 0x1ee7fd7c, 0x1f003db6, 0x9eac3793
+       data4 0x9e5b8c10, 0x9f3af17c, 0x1bc9a8be, 0x1ee3c004
+       data4 0x9f19b1b2, 0x9f242ce9, 0x9ce67dd1, 0x9e4f6275
+       data4 0x1e20742c, 0x1eb9328a, 0x9f477153, 0x1d969718
+       data4 0x9f1e6c43, 0x1f2f67f4, 0x9f39c7e4, 0x9e3c4feb
+       data4 0x1da3956b, 0x9e7c685d, 0x1f280911, 0x9f0d8afb
+       data4 0x1e314b40, 0x9eb4f250, 0x9f1a34ad, 0x1ef5d5e7
+       data4 0x9f145496, 0x1e604827, 0x9f1e5195, 0x1e9c1fc0
+       data4 0x1efde521, 0x1e69b385, 0x1f316830, 0x9f244eae
+       data4 0x1f1787ec, 0x9e939971, 0x1f0bb393, 0x9f0511d6
+       data4 0x1ed919de, 0x1d8b7b28, 0x1e5ca4a9, 0x1e7c357b
+       data4 0x9e3ff8e8, 0x1eef53b5, 0x9ed22ed7, 0x1f16659b
+       data4 0x9f2db102, 0x9e2c6a78, 0x1f328d7d, 0x9f2fec3c
+       data4 0x1eb395bd, 0x9f242b84, 0x9e2683e6, 0x1ed71e68
+       data4 0x1efd1df5, 0x9e9eeafd, 0x9ed2249c, 0x1eef129a
+       data4 0x1d1ea44c, 0x9e81f7ff, 0x1eaf77c9, 0x9ee7a285
+       data4 0x1e1864ed, 0x9ee7edbb, 0x9e15a27d, 0x9ae61655
+       data4 0x1f1ff1a2, 0x1da29755, 0x9e5f46fb, 0x1e901236
+       data4 0x9eecfb9b, 0x9f204d2f, 0x1ec64685, 0x9eb809bd
+       data4 0x9e0026c5, 0x1d9f1da1, 0x1f142b49, 0x9f20f22e
+       data4 0x1f24b067, 0x1f185a4c, 0x9f09765c, 0x9ece902f
+       data4 0x1e2ca5db, 0x1e6de464, 0x9f071f67, 0x1f1518c3
+       data4 0x1ea13ded, 0x1f0b8414, 0x1edb6ad4, 0x9e548740
+       data4 0x9ea10efb, 0x1ee48a60, 0x1e7954c5, 0x9edad013
+       data4 0x9f21517d, 0x9e9b6e0c, 0x9ee7f9a6, 0x9ebd4298
+       data4 0x9d65b24e, 0x1eed751f, 0x9f1573ea, 0x9d430377
+       data4 0x9e13fc0c, 0x1e47008a, 0x1e3d5c1d, 0x1ef41a91
+       data4 0x9e4a4ef7, 0x9e952f18, 0x1d620566, 0x1d9b8d33
+       data4 0x1db06247, 0x1e94b31e, 0x1f0730ad, 0x9d79ffb4
+       data4 0x1ed64d51, 0x9e91fd11, 0x9e28d35a, 0x9dea0ed9
+       data4 0x1e891def, 0x9ee28ac0, 0x1e1db99b, 0x9ee1ce38
+       data4 0x9bdd9bca, 0x1eb72cb9, 0x9e8c53c6, 0x1e0df6ca
+       data4 0x1e8f2ccd, 0x9e9b0886, 0x1eeb3bc7, 0x1ec7e772
+       data4 0x9e210776, 0x9daf246c, 0x1ea1f151, 0x1ece4dc6
+       data4 0x1ce741c8, 0x1ed3c88f, 0x9ec9a4fd, 0x9e0c8d30
+       data4 0x1d2fbb26, 0x9ef212a7, 0x1ee44f1c, 0x9e445550
+       data4 0x1e075f77, 0x9d9291a3, 0x1f09c2ee, 0x9e012c88
+       data4 0x1f057d62, 0x9e7bb0dc, 0x9d8758ee, 0x1ee8d6c1
+       data4 0x9e509a57, 0x9e4ca7b7, 0x1e2cb341, 0x9ec35106
+       data4 0x1ecf3baf, 0x1e11781c, 0x1ea0cc78, 0x1eb75ca6
+       data4 0x1e961e1a, 0x1eb88853, 0x1e7abf50, 0x1ee38704
+       data4 0x9dc5ab0f, 0x1afe197b, 0x9ec07523, 0x9d9b7f78
+       data4 0x1f011618, 0x1ed43b0b, 0x9f035945, 0x9e3fd014
+       data4 0x9bbda5cd, 0x9e83f8ab, 0x1e58a928, 0x1e392d61
+       data4 0x1efdbb52, 0x1ee310a8, 0x9ec7ecc1, 0x1e8c9ed6
+       data4 0x9ef82dee, 0x9e70545b, 0x9ea53fc4, 0x1e40f419
+LOCAL_OBJECT_END(D_table)
+
+
+
+.section .text
+GLOBAL_LIBM_ENTRY(exp2l)
+
+{.mii
+       // get exponent
+       getf.exp GR_EBIAS = f8
+       // GR_D_ADDR0 = pointer to D_table
+       addl GR_D_ADDR0 = @ltoff(D_table), gp
+       // GR_ADDR0 = pointer to C_1...C_6 followed by T_table
+       addl GR_ADDR0 = @ltoff(poly_coeffs), gp ;;
+}
+
+{.mfi
+       // get significand
+       getf.sig GR_SIGNIF = f8
+       // will continue only for normal/denormal numbers
+       fclass.nm.unc p12, p7 = f8, 0x1b
+       mov GR_63 = 63 ;;
+}
+
+{.mfi
+       nop.m 0
+       nop.f 0
+       // GR_CONST2 = bias+63-8
+       mov GR_CONST2 = 0xffff+55
+}
+{.mfi
+       // GR_CONST1 = bias+15
+       mov GR_CONST1 = 0xffff+15
+       nop.f 0
+       mov GR_CONST3 = 0x1ffff ;;
+}
+
+{.mfi
+       // load start address for C_1...C_6 followed by T_table
+       ld8 GR_ADDR = [ GR_ADDR0 ]
+       nop.f 0
+       // get sign of argument
+       andcm GR_SGN = GR_EBIAS, GR_CONST3
+}
+{.mfi
+       // GR_D_ADDR = pointer to D_table
+       ld8 GR_D_ADDR = [ GR_D_ADDR0 ]
+       nop.f 0
+       // get argument exponent
+       and GR_ARGEXP = GR_CONST3, GR_EBIAS ;;
+}
+
+{.mfi
+       alloc GR_SREG = ar.pfs, 1, 4, 4, 0
+       nop.f 0
+       // p6 = 1 if sign = 1
+       cmp.ne p6, p8 = GR_SGN, r0
+}
+{.mfi
+       // p7 = 1 if exponent> = 15 (argument out of range)
+       cmp.ge p7, p0 = GR_ARGEXP, GR_CONST1
+       nop.f 0
+       sub GR_EXPON = GR_CONST2, GR_ARGEXP ;;
+}
+
+{.mib
+       // load C_3, C_4
+       ldfpd FR_COEFF3, FR_COEFF4 = [ GR_ADDR ], 16
+       // get first exponent+8 bits
+       shr.u GR_LEADBITS = GR_SIGNIF, GR_EXPON
+ (p12) br.cond.spnt SPECIAL_exp2l
+}
+{.mib
+       mov GR_256 = 256
+       // exponent- = 63
+       sub GR_EM63 = GR_EBIAS, GR_63
+  (p7) br.cond.spnt OUT_RANGE_exp2l ;;
+}
+
+{.mlx
+       // load C_5, C_6
+       ldfpd FR_COEFF5, FR_COEFF6 = [ GR_ADDR ], 16
+       // GR_2P14 = 2^14
+       movl GR_2P14 = 0x46800000 ;;
+}
+
+{.mfi
+       // load C_1
+       ldfe FR_COEFF1 = [ GR_ADDR ], 16
+       fma.s0 f8 = f8, f1, f0
+       // GR_BM63 = bias-63
+       mov GR_BM63 = 0xffff-63 ;;
+}
+
+{.mlx
+       setf.s FR_2P14 = GR_2P14
+       // GR_UF_TEST = -2^14-62
+       movl GR_UF_TEST = 0xc6807c00
+}
+{.mfi
+       // load C_2
+       ldfe FR_COEFF2 = [ GR_ADDR ], 16
+       nop.f 0
+       mov GR_255 = 255 ;;
+}
+
+{.mib
+       // get 8-bit index
+       and GR_INDEX = GR_255, GR_LEADBITS
+       // get K = integer part
+       shr.u GR_K = GR_LEADBITS, 8
+       nop.b 0 ;;
+}
+
+{.mmi
+       // if sign = 1 && f>0, set p7 = 1
+  (p6) cmp.gt.unc p7, p0 = GR_INDEX, r0
+       setf.s FR_UF_TEST = GR_UF_TEST
+       shl GR_KF = GR_LEADBITS, GR_EXPON ;;
+}
+
+{.mfi
+       // if sign = 1 && f>0, set f = 1-f
+  (p7) sub GR_INDEX = GR_256, GR_INDEX
+       nop.f 0
+       // if sign = 1 && f>0, set K = K+1
+  (p7) add GR_K = GR_K, r0, 1 ;;
+}
+
+{.mfi
+       // FR_EXP63 = 2^{expon-63}
+       setf.exp FR_EXP63 = GR_EM63
+       nop.f 0
+       nop.i 0 ;;
+}
+
+.pred.rel "mutex", p6, p8
+{.mfi
+       // if sign = 0, set scale factor exponent S = K+bias-63
+  (p8) add GR_K = GR_K, GR_BM63
+       nop.f 0
+       // if sign = 1, set scale factor exponent S = -K+bias-63
+  (p6) sub GR_K = GR_BM63, GR_K ;;
+}
+
+{.mmi
+       // FR_KF0 = 2^{63-expon}*(K+f)
+       setf.sig FR_KF0 = GR_KF
+       nop.m 0
+       // GR_EMIN = EMIN = 2-2^14
+       mov GR_EMIN = 0x18cfff ;;
+}
+
+{.mfi
+       // get T_table index
+       shladd GR_IT = GR_INDEX, 3, GR_ADDR
+       // p7 = 1 if x> = 2^10
+       fcmp.ge.s1 p7, p12 = f8, FR_2P14
+       // get D_table index
+       shladd GR_ID = GR_INDEX, 2, GR_D_ADDR ;;
+}
+
+{.mfi
+       // load T_table value
+       ldf8 FR_T = [ GR_IT ]
+       // p7 = 1 if x<-2^10-50
+ (p12) fcmp.lt.s1 p7, p0 = f8, FR_UF_TEST
+       // GR_EMIN1 = EMIN = 2-2^14
+       shl GR_EMIN1 = GR_EMIN, 11 ;;
+}
+
+{.mmb
+       // f50 = scale factor = 2^{K-63}
+       setf.exp FR_2EXP = GR_K
+       // load D_table value
+       ldfs FR_D = [ GR_ID ]
+  (p7) br.cond.spnt OUT_RANGE_exp2l ;;
+}
+
+{.mfi
+       nop.m 0
+       // get r = x-(K+f)
+       fnma.s1 FR_R = FR_KF0, FR_EXP63, f8
+       nop.i 0 ;;
+}
+
+{.mfi
+       // FR_EMIN = EMIN
+       setf.s FR_EMIN = GR_EMIN1
+       // P34 = C_4*r+C_3
+       fma.s1 FR_P34 = FR_COEFF4, FR_R, FR_COEFF3
+       nop.i 0
+}
+{.mfi
+       nop.m 0
+       // P56 = C_6*r+C_5
+       fma.s1 FR_P56 = FR_COEFF6, FR_R, FR_COEFF5
+       nop.i 0 ;;
+}
+
+{.mfi
+       nop.m 0
+       //  r*r
+       fma.s1 FR_R2 = FR_R, FR_R, f0
+       nop.i 0
+}
+{.mfi
+       nop.m 0
+       // P12 = C_2*r+C_1
+       fma.s1 FR_P12 = FR_COEFF2, FR_R, FR_COEFF1
+       nop.i 0 ;;
+}
+
+{.mfi
+       nop.m 0
+       // T* = scaling factor
+       fma.s1 FR_TS = FR_T, FR_2EXP, f0
+       nop.i 0
+}
+{.mfi
+       nop.m 0
+       // P36 = P34+r2*P56
+       fma.s1 FR_P36 = FR_P56, FR_R2, FR_P34
+       nop.i 0 ;;
+}
+
+{.mfi
+       nop.m 0
+       // P02 = D+r*P12
+       fma.s1 FR_P02 = FR_P12, FR_R, FR_D
+       nop.i 0
+}
+{.mfi
+       nop.m 0
+       // GR_ID = r*r2
+       fma.s1 FR_R3 = FR_R2, FR_R, f0
+       nop.i 0 ;;
+}
+
+{.mfi
+       nop.m 0
+       // P06 = P02+r3*P36
+       fma.s1 FR_P06 = FR_P36, FR_R3, FR_P02
+       nop.i 0 ;;
+}
+
+{.mfi
+       nop.m 0
+       // underflow (x<EMIN) ?
+       fcmp.lt.s0 p6, p8 = f8, FR_EMIN
+       nop.i 0 ;;
+}
+
+{.mfb
+       nop.m 0
+       // result = T+T*P06
+       fma.s0 f8 = FR_TS, FR_P06, FR_TS
+       // return
+  (p8) br.ret.sptk b0
+}
+{.mfb
+  (p6) mov GR_Parameter_TAG = 160
+       nop.f 0
+  (p6) br.cond.sptk __libm_error_region ;;
+}
+
+
+SPECIAL_exp2l:
+
+{.mfi
+       nop.m 0
+       // x = -Infinity ?
+       fclass.m p6, p0 = f8, 0x22
+       nop.i 0 ;;
+}
+
+{.mfi
+       nop.m 0
+       // x = +Infinity ?
+       fclass.m p7, p0 = f8, 0x21
+       nop.i 0 ;;
+}
+
+{.mfi
+       nop.m 0
+       // x = +/-Zero ?
+       fclass.m p8, p0 = f8, 0x7
+       nop.i 0
+}
+{.mfb
+       nop.m 0
+       // exp2l(-Infinity) = 0
+  (p6) mov f8 = f0
+  (p6) br.ret.spnt b0 ;;
+}
+
+{.mfb
+       nop.m 0
+       // exp2l(+Infinity) = +Infinity
+       nop.f 0
+  (p7) br.ret.spnt b0 ;;
+}
+
+{.mfb
+       nop.m 0
+       // exp2l(+/-0) = 1
+  (p8) mov f8 = f1
+  (p8) br.ret.spnt b0 ;;
+}
+
+{.mfb
+       nop.m 0
+       // Remaining cases: NaNs
+       fma.s0 f8 = f8, f1, f0
+       br.ret.sptk b0 ;;
+}
+
+
+OUT_RANGE_exp2l:
+
+
+{.mfi
+       // overflow: p8 = 1
+  (p8) mov GR_EM63 = 0x1fffe
+       // normalize input, to detect pseudo-zeroes
+       fma.s0 f8 = f8, f1, f0
+       nop.i 0 ;;
+}
+
+{.mfi
+       nop.m 0
+       // f8 = 0?
+       fcmp.eq.s1 p7, p0 = f8, f0
+       nop.i 0 ;;
+}
+
+{.mmb
+  (p8) mov GR_Parameter_TAG = 159
+  (p8) setf.exp FR_TS = GR_EM63
+       nop.b 999 ;;
+}
+
+{.mfb
+       nop.m 0
+       // pseudo-zero
+  (p7) mov f8 = f1
+  (p7) br.ret.sptk b0 ;;
+}
+
+{.mfi
+       nop.m 999
+  (p8) fma.s0 f8 = FR_TS, FR_TS, f0
+       nop.i 999
+}
+{.mii
+       nop.m 0
+       // underflow: p6 = 1
+  (p6) mov GR_EM63 = 1
+       nop.i 0 ;;
+}
+
+{.mmb
+  (p6) mov GR_Parameter_TAG = 160
+  (p6) setf.exp FR_TS = GR_EM63
+       nop.b 999 ;;
+}
+
+{.mfb
+       nop.m 999
+  (p6) fma.s0 f8 = FR_TS, FR_TS, f0
+       nop.b 0 ;;
+}
+
+
+GLOBAL_LIBM_END(exp2l)
+
+LOCAL_LIBM_ENTRY(__libm_error_region)
+.prologue
+{.mfi
+       add GR_Parameter_Y = -32, sp // Parameter 2 value
+       nop.f 0
+.save ar.pfs, GR_SAVE_PFS
+       mov GR_SAVE_PFS = ar.pfs // Save ar.pfs
+}
+{.mfi
+.fframe 64
+       add sp = -64, sp // Create new stack
+       nop.f 0
+       mov GR_SAVE_GP = gp ;; // Save gp
+}
+
+{.mmi
+       stfe [ GR_Parameter_Y ] = FR_Y, 16 // STORE Parameter 2 on stack
+       add GR_Parameter_X = 16, sp // Parameter 1 address
+.save b0, GR_SAVE_B0
+       mov GR_SAVE_B0 = b0 ;; // Save b0
+}
+
+.body
+{.mib
+       stfe [ GR_Parameter_X ] = FR_X // STORE Parameter 1 on stack
+       add GR_Parameter_RESULT = 0, GR_Parameter_Y // Parameter 3 address
+       nop.b 0
+}
+{.mib
+       stfe [ GR_Parameter_Y ] = FR_RESULT // STORE Parameter 3 on stack
+       add GR_Parameter_Y = -16, GR_Parameter_Y
+       br.call.sptk b0 = __libm_error_support# ;; // Call error handling function
+}
+
+{.mmi
+       add GR_Parameter_RESULT = 48, sp
+       nop.m 0
+       nop.i 0 ;;
+}
+
+{.mmi
+       ldfe f8 = [ GR_Parameter_RESULT ] // Get return result off stack
+.restore sp
+       add sp = 64, sp // Restore stack pointer
+       mov b0 = GR_SAVE_B0 ;; // Restore return address
+}
+
+{.mib
+       mov gp = GR_SAVE_GP // Restore gp
+       mov ar.pfs = GR_SAVE_PFS // Restore ar.pfs
+       br.ret.sptk b0 ;; // Return
+}
+
+
+LOCAL_LIBM_END(__libm_error_region)
+.type __libm_error_support#, @function
+.global __libm_error_support#
diff --git a/sysdeps/ia64/fpu/e_expf.S b/sysdeps/ia64/fpu/e_expf.S
index 2aad021335..8d620b6ffa 100644
--- a/sysdeps/ia64/fpu/e_expf.S
+++ b/sysdeps/ia64/fpu/e_expf.S
@@ -1,10 +1,10 @@
 .file "expf.s"
 
-// Copyright (C) 2000, 2001, Intel Corporation
+
+// Copyright (c) 2000 - 2002, Intel Corporation
 // All rights reserved.
 //
-// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story,
-// and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation.
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
 //
 // Redistribution and use in source and binary forms, with or without
 // modification, are permitted provided that the following conditions are
@@ -20,7 +20,7 @@
 // * The name of Intel Corporation may not be used to endorse or promote
 // products derived from this software without specific prior written
 // permission.
-//
+
 // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
 // "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
@@ -35,589 +35,501 @@
 //
 // Intel Corporation is the author of this code, and requests that all
 // problem reports or change requests be submitted to it directly at
-// http://developer.intel.com/opensource.
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
 
 // History
-//==============================================================
-// 4/04/00  Unwind update
-// 4/04/00  Unwind support added
-// 8/15/00  Bundle added after call to __libm_error_support to properly
+//*********************************************************************
+// 02/02/00 Original version
+// 04/04/00 Unwind support added
+// 08/15/00 Bundle added after call to __libm_error_support to properly
 //          set [the previously overwritten] GR_Parameter_RESULT.
-// 8/21/00  Improvements to save 2 cycles on main path, and shorten x=0 case
+// 08/21/00 Improvements to save 2 cycles on main path, and shorten x=0 case
 // 12/07/00 Widen main path, shorten x=inf, nan paths
+// 03/15/01 Fix monotonicity problem around x=0 for round to +inf
+// 02/05/02 Corrected uninitialize predicate in POSSIBLE_UNDERFLOW path
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 07/26/02 Algorithm changed, accuracy improved
+// 09/26/02 support of higher precision inputs added, underflow threshold
+//          corrected
+// 11/15/02 Improved performance on Itanium 2, added possible over/under paths
+//
+//
+// API
+//*********************************************************************
+// float expf(float)
+//
+// Overview of operation
+//*********************************************************************
+// Take the input x. w is "how many log2/128 in x?"
+//  w = x * 64/log2
+//  NJ = int(w)
+//  x = NJ*log2/64 + R
+
+//  NJ = 64*n + j
+//  x = n*log2 + (log2/64)*j + R
+//
+//  So, exp(x) = 2^n * 2^(j/64)* exp(R)
+//
+//  T =  2^n * 2^(j/64)
+//       Construct 2^n
+//       Get 2^(j/64) table
+//           actually all the entries of 2^(j/64) table are stored in DP and
+//           with exponent bits set to 0 -> multiplication on 2^n can be
+//           performed by doing logical "or" operation with bits presenting 2^n
+
+//  exp(R) = 1 + (exp(R) - 1)
+//  P = exp(R) - 1 approximated by Taylor series of 3rd degree
+//      P = A3*R^3 + A2*R^2 + R, A3 = 1/6, A2 = 1/2
 //
 
-#include "libm_support.h"
-
-// Assembly macros
-//==============================================================
-// integer registers used
-
- exp_GR_0x0f                = r33
- exp_GR_0xf0                = r34
+//  The final result is reconstructed as follows
+//  exp(x) = T + T*P
 
- EXP_AD_P_1                 = r36
- EXP_AD_P_2                 = r37
- EXP_AD_T1                  = r38
- EXP_AD_T2                  = r39
- exp_GR_Mint                = r40
+// Special values
+//*********************************************************************
+// expf(+0)    = 1.0
+// expf(-0)    = 1.0
 
- exp_GR_Mint_p_128          = r41
- exp_GR_Ind1                = r42
- EXP_AD_M1                  = r43
- exp_GR_Ind2                = r44
- EXP_AD_M2                  = r45
+// expf(+qnan) = +qnan
+// expf(-qnan) = -qnan
+// expf(+snan) = +qnan
+// expf(-snan) = -qnan
 
- exp_GR_min_oflow           = r46
- exp_GR_max_zero            = r47
- exp_GR_max_norm            = r48
- exp_GR_max_uflow           = r49
- exp_GR_min_norm            = r50
+// expf(-inf)  = +0
+// expf(+inf)  = +inf
 
- exp_GR_17ones              = r51
- exp_GR_gt_ln               = r52
- exp_GR_T2_size             = r53
+// Overflow and Underflow
+//*********************************************************************
+// expf(x) = largest single normal when
+//     x = 88.72283 = 0x42b17217
 
- exp_GR_17ones_m1           = r56
- exp_GR_one                 = r57
+// expf(x) = smallest single normal when
+//     x = -87.33654 = 0xc2aeac4f
 
+// expf(x) = largest round-to-nearest single zero when
+//     x = -103.97208 = 0xc2cff1b5
 
 
-GR_SAVE_B0                    = r53
-GR_SAVE_PFS                   = r55
-GR_SAVE_GP                    = r54 
+// Registers used
+//*********************************************************************
+// Floating Point registers used:
+// f8, input
+// f6,f7, f9 -> f15,  f32 -> f40
 
-GR_Parameter_X                = r59
-GR_Parameter_Y                = r60
-GR_Parameter_RESULT           = r61
-GR_Parameter_TAG              = r62
+// General registers used:
+// r3, r23 -> r38
 
-FR_X             = f10
-FR_Y             = f1
-FR_RESULT        = f8
+// Predicate registers used:
+// p10 -> p15
 
+// Assembly macros
+//*********************************************************************
+// integer registers used
+// scratch
+rNJ                   = r3
+
+rTmp                  = r23
+rJ                    = r23
+rN                    = r24
+rTblAddr              = r25
+rA3                   = r26
+rExpHalf              = r27
+rLn2Div64             = r28
+r17ones_m1            = r29
+rGt_ln                = r29
+rRightShifter         = r30
+r64DivLn2             = r31
+// stacked
+GR_SAVE_PFS           = r32
+GR_SAVE_B0            = r33
+GR_SAVE_GP            = r34
+GR_Parameter_X        = r35
+GR_Parameter_Y        = r36
+GR_Parameter_RESULT   = r37
+GR_Parameter_TAG      = r38
 
 // floating point registers used
-
- EXP_MIN_SGL_OFLOW_ARG      = f11
- EXP_MAX_SGL_ZERO_ARG       = f12
- EXP_MAX_SGL_NORM_ARG       = f13
- EXP_MAX_SGL_UFLOW_ARG      = f14
- EXP_MIN_SGL_NORM_ARG       = f15
-
- exp_coeff_P5               = f32
- exp_coeff_P6               = f33
- exp_coeff_P3               = f34
- exp_coeff_P4               = f35
-
- exp_coeff_P1               = f36
- exp_coeff_P2               = f37
- exp_Mx                     = f38
- exp_Mfloat                 = f39
- exp_R                      = f40
-
- exp_P1                     = f41
- exp_P2                     = f42
- exp_P3                     = f43
- exp_Rsq                    = f44
- exp_R4                     = f45
-
- exp_P4                     = f46
- exp_P5                     = f47
- exp_P6                     = f48
- exp_P7                     = f49
- exp_T1                     = f50
-
- exp_T2                     = f51
- exp_T                      = f52
- exp_A                      = f53
- exp_norm_f8                = f54
- exp_wre_urm_f8             = f55
-
- exp_ftz_urm_f8             = f56
- exp_gt_pln                 = f57
-
-
-#ifdef _LIBC
-.rodata
-#else
-.data
-#endif
-
+FR_X                  = f10
+FR_Y                  = f1
+FR_RESULT             = f8
+// scratch
+fRightShifter         = f6
+f64DivLn2             = f7
+fNormX                = f9
+fNint                 = f10
+fN                    = f11
+fR                    = f12
+fLn2Div64             = f13
+fA2                   = f14
+fA3                   = f15
+// stacked
+fP                    = f32
+fT                    = f33
+fMIN_SGL_OFLOW_ARG    = f34
+fMAX_SGL_ZERO_ARG     = f35
+fMAX_SGL_NORM_ARG     = f36
+fMIN_SGL_NORM_ARG     = f37
+fRSqr                 = f38
+fTmp                  = f39
+fGt_pln               = f39
+fWre_urm_f8           = f40
+fFtz_urm_f8           = f40
+
+
+RODATA
 .align 16
 
-exp_coeff_1_table:
-ASM_TYPE_DIRECTIVE(exp_coeff_1_table,@object)
-data8 0x3F56F35FDE4F8563 // p5
-data8 0x3F2A378BEFECCFDD // p6
-data8 0x3FE00000258C581D // p1
-data8 0x3FC555557AE7B3D4 // p2
-ASM_SIZE_DIRECTIVE(exp_coeff_1_table)
-
-
-exp_coeff_2_table:
-ASM_TYPE_DIRECTIVE(exp_coeff_2_table,@object)
-data8 0x3FA5551BB6592FAE // p3
-data8 0x3F8110E8EBFFD485 // p4
-ASM_SIZE_DIRECTIVE(exp_coeff_2_table)
-
-
-exp_T2_table:
-ASM_TYPE_DIRECTIVE(exp_T2_table,@object)
-data8 0xa175cf9cd7d85844 , 0x00003f46 // exp(-128)
-data8 0xdb7279415a1f9eed , 0x00003f47 // exp(-127)
-data8 0x95213b242bd8ca5f , 0x00003f49 // exp(-126)
-data8 0xcab03c968c989f83 , 0x00003f4a // exp(-125)
-data8 0x89bdb674702961ad , 0x00003f4c // exp(-124)
-data8 0xbb35a2eec278be35 , 0x00003f4d // exp(-123)
-data8 0xfe71b17f373e7e7a , 0x00003f4e // exp(-122)
-data8 0xace9a6ec52a39b63 , 0x00003f50 // exp(-121)
-data8 0xeb03423fe393cf1c , 0x00003f51 // exp(-120)
-data8 0x9fb52c5bcaef1693 , 0x00003f53 // exp(-119)
-data8 0xd910b6377ed60bf1 , 0x00003f54 // exp(-118)
-data8 0x9382dad8a9fdbfe4 , 0x00003f56 // exp(-117)
-data8 0xc87d0a84dea869a3 , 0x00003f57 // exp(-116)
-data8 0x883efb4c6d1087b0 , 0x00003f59 // exp(-115)
-data8 0xb92d7373dce9a502 , 0x00003f5a // exp(-114)
-data8 0xfbaeb020577fb0cb , 0x00003f5b // exp(-113)
-ASM_SIZE_DIRECTIVE(exp_T2_table)
-
-
-exp_T1_table:
-ASM_TYPE_DIRECTIVE(exp_T1_table,@object)
-data8 0x8000000000000000 , 0x00003fff // exp(16 * 0)
-data8 0x87975e8540010249 , 0x00004016 // exp(16 * 1) 
-data8 0x8fa1fe625b3163ec , 0x0000402d // exp(16 * 2) 
-data8 0x9826b576512a59d7 , 0x00004044 // exp(16 * 3) 
-data8 0xa12cc167acbe6902 , 0x0000405b // exp(16 * 4) 
-data8 0xaabbcdcc279f59e4 , 0x00004072 // exp(16 * 5) 
-data8 0xb4dbfaadc045d16f , 0x00004089 // exp(16 * 6) 
-data8 0xbf95e372ccdbf146 , 0x000040a0 // exp(16 * 7) 
-data8 0xcaf2a62eea10bbfb , 0x000040b7 // exp(16 * 8) 
-data8 0xd6fbeb62fddbd340 , 0x000040ce // exp(16 * 9) 
-data8 0xe3bbee32e4a440ea , 0x000040e5 // exp(16 * 10)
-data8 0xf13d8517c34199a8 , 0x000040fc // exp(16 * 11)
-data8 0xff8c2b166241eedd , 0x00004113 // exp(16 * 12)
-data8 0x875a04c0b38d6129 , 0x0000412b // exp(16 * 13)
-data8 0x8f610127db6774d7 , 0x00004142 // exp(16 * 14)
-data8 0x97e1dd87e5c20bb6 , 0x00004159 // exp(16 * 15)
-ASM_SIZE_DIRECTIVE(exp_T1_table)
-
-// Argument Reduction
-//  exp_Mx = (int)f8            ==> The value of f8 rounded to int is placed into the
-//                                  significand of exp_Mx as a two's
-//                                  complement number.
-
-// Later we want to have exp_Mx in a general register. Do this with a getf.sig
-// and call the general register exp_GR_Mint
-
-//  exp_Mfloat = (float)(int)f8 ==> the two's complement number in
-//                                  significand of exp_Mx is turned
-//                                  into a floating point number.
-//  R = 1 - exp_Mfloat          ==> reduced argument
-
-// Core Approximation
-// Calculate a series in R
-//  R * p6 + p5
-//  R * p4 + p3
-//  R * p2 + p1
-//  R^2
-//  R^4
-//  R^2(R * p6 + p5) + (R * p4 + p3)
-//  R^2(R * p2 + p1)
-//  R^4(R^2(R * p6 + p5) + (R * p4 + p3)) + (R^2(R * p2 + p1))
-//  R + 1
-//  exp(R) = (1 + R) + R^4(R^2(R * p6 + p5) + (R * p4 + p3)) + (R^2(R * p2 + p1))
-//  exp(R) = 1 + R + R^2 * p1 + R^3 * p2 + R^4 * p3 + R^5 * p4 + R^6 * p5 + R^7 * p6
-
-// Reconstruction
-// signficand of exp_Mx is two's complement,
-// -103 < x < 89
-// The smallest single denormal is 2^-149 = ssdn
-//    For e^x = ssdn
-//        x   = log(ssdn) = -103.279
-//    But with rounding result goes to ssdn until -103.972079
-// The largest single normal is  1.<23 1's> 2^126 ~ 2^127 = lsn
-//    For e^x = lsn
-//        x   = log(lsn) = 88.7228
+LOCAL_OBJECT_START(_expf_table)
+data4 0x42b17218         // Smallest sgl arg to overflow sgl result, +88.7228
+data4 0xc2cff1b5         // Largest sgl for rnd-to-nearest 0 result, -103.9720
+data4 0x42b17217         // Largest sgl arg to give normal sgl result, +88.7228
+data4 0xc2aeac4f         // Smallest sgl arg to give normal sgl result, -87.3365
 //
-// expf overflows                       when x > 42b17218 = 88.7228
-// expf returns largest single denormal when x = c2aeac50
-// expf goes to zero when                    x < c2cff1b5 
-
-// Consider range of 8-bit two's complement, -128 ---> 127
-// Add 128; range becomes                       0 ---> 255
-
-// The number (=i) in 0 ---> 255 is used as offset into two tables.
-
-// i = abcd efgh = abcd * 16 + efgh = i1 * 16 + i2
-
-// i1 = (exp_GR_Mint + 128)  & 0xf0 (show 0xf0 as -0x10 to avoid assembler error)
-//                                  (The immediate in the AND is an 8-bit two's complement)
-// i1 = i1 + start of T1 table (EXP_AD_T1)
-//    Note that the entries in T1 are double-extended numbers on 16-byte boundaries
-//    and that i1 is already shifted left by 16 after the AND.
-
-// i2 must be shifted left by 4 before adding to the start of the table.
-// i2 = ((exp_GR_Mint + 128)  & 0x0f) << 4
-// i2 = i2 + start of T2 table (EXP_AD_T2)
-
-// T      = T1 * T2
-// A      = T * (1 + R)
-// answer = T *  (R^2 * p1 + R^3 * p2 + R^4 * p3 + R^5 * p4 + R^6 * p5 + R^7 * p6) +
-//          T *  (1 + R)
-//        = T * exp(R)
-
+// 2^(j/64) table, j goes from 0 to 63
+data8 0x0000000000000000 // 2^(0/64)
+data8 0x00002C9A3E778061 // 2^(1/64)
+data8 0x000059B0D3158574 // 2^(2/64)
+data8 0x0000874518759BC8 // 2^(3/64)
+data8 0x0000B5586CF9890F // 2^(4/64)
+data8 0x0000E3EC32D3D1A2 // 2^(5/64)
+data8 0x00011301D0125B51 // 2^(6/64)
+data8 0x0001429AAEA92DE0 // 2^(7/64)
+data8 0x000172B83C7D517B // 2^(8/64)
+data8 0x0001A35BEB6FCB75 // 2^(9/64)
+data8 0x0001D4873168B9AA // 2^(10/64)
+data8 0x0002063B88628CD6 // 2^(11/64)
+data8 0x0002387A6E756238 // 2^(12/64)
+data8 0x00026B4565E27CDD // 2^(13/64)
+data8 0x00029E9DF51FDEE1 // 2^(14/64)
+data8 0x0002D285A6E4030B // 2^(15/64)
+data8 0x000306FE0A31B715 // 2^(16/64)
+data8 0x00033C08B26416FF // 2^(17/64)
+data8 0x000371A7373AA9CB // 2^(18/64)
+data8 0x0003A7DB34E59FF7 // 2^(19/64)
+data8 0x0003DEA64C123422 // 2^(20/64)
+data8 0x0004160A21F72E2A // 2^(21/64)
+data8 0x00044E086061892D // 2^(22/64)
+data8 0x000486A2B5C13CD0 // 2^(23/64)
+data8 0x0004BFDAD5362A27 // 2^(24/64)
+data8 0x0004F9B2769D2CA7 // 2^(25/64)
+data8 0x0005342B569D4F82 // 2^(26/64)
+data8 0x00056F4736B527DA // 2^(27/64)
+data8 0x0005AB07DD485429 // 2^(28/64)
+data8 0x0005E76F15AD2148 // 2^(29/64)
+data8 0x0006247EB03A5585 // 2^(30/64)
+data8 0x0006623882552225 // 2^(31/64)
+data8 0x0006A09E667F3BCD // 2^(32/64)
+data8 0x0006DFB23C651A2F // 2^(33/64)
+data8 0x00071F75E8EC5F74 // 2^(34/64)
+data8 0x00075FEB564267C9 // 2^(35/64)
+data8 0x0007A11473EB0187 // 2^(36/64)
+data8 0x0007E2F336CF4E62 // 2^(37/64)
+data8 0x00082589994CCE13 // 2^(38/64)
+data8 0x000868D99B4492ED // 2^(39/64)
+data8 0x0008ACE5422AA0DB // 2^(40/64)
+data8 0x0008F1AE99157736 // 2^(41/64)
+data8 0x00093737B0CDC5E5 // 2^(42/64)
+data8 0x00097D829FDE4E50 // 2^(43/64)
+data8 0x0009C49182A3F090 // 2^(44/64)
+data8 0x000A0C667B5DE565 // 2^(45/64)
+data8 0x000A5503B23E255D // 2^(46/64)
+data8 0x000A9E6B5579FDBF // 2^(47/64)
+data8 0x000AE89F995AD3AD // 2^(48/64)
+data8 0x000B33A2B84F15FB // 2^(49/64)
+data8 0x000B7F76F2FB5E47 // 2^(50/64)
+data8 0x000BCC1E904BC1D2 // 2^(51/64)
+data8 0x000C199BDD85529C // 2^(52/64)
+data8 0x000C67F12E57D14B // 2^(53/64)
+data8 0x000CB720DCEF9069 // 2^(54/64)
+data8 0x000D072D4A07897C // 2^(55/64)
+data8 0x000D5818DCFBA487 // 2^(56/64)
+data8 0x000DA9E603DB3285 // 2^(57/64)
+data8 0x000DFC97337B9B5F // 2^(58/64)
+data8 0x000E502EE78B3FF6 // 2^(59/64)
+data8 0x000EA4AFA2A490DA // 2^(60/64)
+data8 0x000EFA1BEE615A27 // 2^(61/64)
+data8 0x000F50765B6E4540 // 2^(62/64)
+data8 0x000FA7C1819E90D8 // 2^(63/64)
+LOCAL_OBJECT_END(_expf_table)
 
-.global expf#
 
 .section .text
-.proc  expf#
-.align 32
-expf:
-#ifdef _LIBC
-.global __ieee754_expf#
-__ieee754_expf:
-#endif
-
-{ .mfi
-     alloc      r32            = ar.pfs,1,26,4,0
-     fcvt.fx.s1   exp_Mx       =    f8
-     mov       exp_GR_17ones   =    0x1FFFF
+GLOBAL_IEEE754_ENTRY(expf)
+      
+{ .mlx
+      addl            rTblAddr = @ltoff(_expf_table),gp
+      movl            r64DivLn2 = 0x40571547652B82FE // 64/ln(2)
 }
 { .mlx
-     addl      EXP_AD_P_1      =    @ltoff(exp_coeff_1_table),gp
-     movl      exp_GR_min_oflow = 0x42b17218    
+      addl            rA3 = 0x3E2AA, r0 // high bits of 1.0/6.0 rounded to SP
+      movl            rRightShifter = 0x43E8000000000000 // DP Right Shifter
 }
 ;;
 
-// Fnorm done to take any enabled faults
 { .mfi
-     ld8       EXP_AD_P_1      =  [EXP_AD_P_1]
-     fclass.m  p6,p0      = f8, 0x07	//@zero
-     nop.i 999
+      // point to the beginning of the table
+      ld8             rTblAddr = [rTblAddr]
+      fclass.m        p14, p0 = f8, 0x22    // test for -INF
+      shl             rA3 = rA3, 12  // 0x3E2AA000, approx to 1.0/6.0 in SP
 }
 { .mfi
-     add       exp_GR_max_norm = -1, exp_GR_min_oflow  // 0x42b17217
-     fnorm     exp_norm_f8     =    f8
-     nop.i 999
+      nop.m           0
+      fnorm.s1        fNormX = f8           // normalized x
+      addl            rExpHalf = 0xFFFE, r0 // exponent of 1/2
 }
 ;;
 
 { .mfi
-     setf.s    EXP_MIN_SGL_OFLOW_ARG = exp_GR_min_oflow  // 0x42b17218
-     fclass.m  p7,p0      = f8, 0x22	// Test for x=-inf
-     mov       exp_GR_0xf0 = 0x0f0
+      setf.d          f64DivLn2 = r64DivLn2 // load 64/ln(2) to FP reg
+      fclass.m        p15, p0 = f8, 0x1e1   // test for NaT,NaN,+Inf
+      nop.i           0
 }
 { .mlx
-     setf.s    EXP_MAX_SGL_NORM_ARG = exp_GR_max_norm
-     movl      exp_GR_max_zero = 0xc2cff1b5    
+      // load Right Shifter to FP reg
+      setf.d          fRightShifter = rRightShifter
+      movl            rLn2Div64 = 0x3F862E42FEFA39EF // DP ln(2)/64 in GR
 }
 ;;
 
-
-{ .mlx
-     mov       exp_GR_0x0f = 0x00f
-     movl      exp_GR_max_uflow = 0xc2aeac50    
+{ .mfi
+      nop.m           0
+      fcmp.eq.s1      p13, p0 = f0, f8      // test for x = 0.0
+      nop.i           0
 }
 { .mfb
-     nop.m 999
-(p6) fma.s     f8 = f1,f1,f0
-(p6) br.ret.spnt   b0        // quick exit for x=0
+      setf.s          fA3 = rA3             // load A3 to FP reg
+(p14) fma.s.s0        f8 = f0, f1, f0       // result if x = -inf
+(p14) br.ret.spnt     b0                    // exit here if x = -inf
 }
 ;;
 
 { .mfi
-     setf.s    EXP_MAX_SGL_ZERO_ARG = exp_GR_max_zero
-     fclass.m  p8,p0      = f8, 0x21	// Test for x=+inf
-     adds      exp_GR_min_norm = 1, exp_GR_max_uflow  // 0xc2aeac51
+      setf.exp        fA2 = rExpHalf        // load A2 to FP reg
+      fcmp.eq.s0      p6, p0 = f8, f0       // Dummy to flag denorm
+      nop.i           0
 }
 { .mfb
-     ldfpd     exp_coeff_P5,exp_coeff_P6     =    [EXP_AD_P_1],16
-(p7) fma.s     f8 = f0,f0,f0
-(p7) br.ret.spnt   b0        // quick exit for x=-inf
+      setf.d          fLn2Div64 = rLn2Div64 // load ln(2)/64 to FP reg
+(p15) fma.s.s0        f8 = f8, f1, f0       // result if x = NaT,NaN,+Inf
+(p15) br.ret.spnt     b0                    // exit here if x = NaT,NaN,+Inf
 }
 ;;
 
-{ .mmf
-     ldfpd     exp_coeff_P1,exp_coeff_P2     =    [EXP_AD_P_1],16
-     setf.s    EXP_MAX_SGL_UFLOW_ARG = exp_GR_max_uflow
-     fclass.m  p9,p0      = f8, 0xc3	// Test for x=nan
-}
-;;
-
-{ .mmb
-     ldfpd     exp_coeff_P3,exp_coeff_P4     =    [EXP_AD_P_1],16
-     setf.s    EXP_MIN_SGL_NORM_ARG = exp_GR_min_norm
-(p8) br.ret.spnt   b0        // quick exit for x=+inf
+{ .mfb
+      // overflow and underflow_zero threshold
+      ldfps           fMIN_SGL_OFLOW_ARG, fMAX_SGL_ZERO_ARG = [rTblAddr], 8
+(p13) fma.s.s0        f8 = f1, f1, f0       // result if x = 0.0
+(p13) br.ret.spnt     b0                    // exit here if x =0.0
 }
 ;;
 
-// EXP_AD_P_1 now points to exp_T2_table
+      // max normal and underflow_denorm threshold
 { .mfi
-     mov exp_GR_T2_size           = 0x100
-     fcvt.xf   exp_Mfloat     =    exp_Mx
-     nop.i 999
+      ldfps           fMAX_SGL_NORM_ARG, fMIN_SGL_NORM_ARG = [rTblAddr], 8
+      nop.f           0
+      nop.i           0
 }
 ;;
 
-{ .mfb
-     getf.sig  exp_GR_Mint    =    exp_Mx
-(p9) fmerge.s     f8 = exp_norm_f8, exp_norm_f8
-(p9) br.ret.spnt   b0        // quick exit for x=nan
+{ .mfi
+      nop.m           0
+      // x*(64/ln(2)) + Right Shifter
+      fma.s1          fNint = fNormX, f64DivLn2, fRightShifter
+      nop.i           0
 }
 ;;
 
-{ .mmi
-     nop.m 999
-     mov      EXP_AD_T2       =  EXP_AD_P_1
-     add      EXP_AD_T1       =  exp_GR_T2_size,EXP_AD_P_1 ;;
-}
-
-
-{ .mmi
-     adds      exp_GR_Mint_p_128   =    0x80,exp_GR_Mint ;;
-     and       exp_GR_Ind1      =    exp_GR_Mint_p_128, exp_GR_0xf0
-     and       exp_GR_Ind2      =    exp_GR_Mint_p_128, exp_GR_0x0f ;;
-}
-
 // Divide arguments into the following categories:
-//  Certain Underflow/zero  p11 - -inf < x <= MAX_SGL_ZERO_ARG 
-//  Certain Underflow       p12 - MAX_SGL_ZERO_ARG < x <= MAX_SGL_UFLOW_ARG 
-//  Possible Underflow      p13 - MAX_SGL_UFLOW_ARG < x < MIN_SGL_NORM_ARG
+//  Certain Underflow       p11 - -inf < x <= MAX_SGL_ZERO_ARG
+//  Possible Underflow      p13 - MAX_SGL_ZERO_ARG < x < MIN_SGL_NORM_ARG
 //  Certain Safe                - MIN_SGL_NORM_ARG <= x <= MAX_SGL_NORM_ARG
 //  Possible Overflow       p14 - MAX_SGL_NORM_ARG < x < MIN_SGL_OFLOW_ARG
 //  Certain Overflow        p15 - MIN_SGL_OFLOW_ARG <= x < +inf
 //
-// If the input is really a single arg, then there will never be "Possible
-// Underflow" or "Possible Overflow" arguments.
+// If the input is really a single arg, then there will never be
+// "Possible Overflow" arguments.
 //
 
 { .mfi
-     add       EXP_AD_M1 =    exp_GR_Ind1,EXP_AD_T1
-     fcmp.ge.s1  p15,p14 = exp_norm_f8,EXP_MIN_SGL_OFLOW_ARG
-     nop.i 999
-}
-{ .mfi
-     shladd       EXP_AD_M2                =    exp_GR_Ind2,4,EXP_AD_T2
-     fms.s1    exp_R                    =    f1,f8,exp_Mfloat
-     nop.i 999 ;;
+      nop.m           0
+      // check for overflow
+      fcmp.ge.s1      p15, p0 = fNormX, fMIN_SGL_OFLOW_ARG
+      nop.i           0
 }
+;;
 
 { .mfi
-     ldfe           exp_T1    =    [EXP_AD_M1]
-     fcmp.le.s1  p11,p12 = exp_norm_f8,EXP_MAX_SGL_ZERO_ARG
-     nop.i 999 ;;
+      nop.m           0
+      // check for underflow and tiny (+0) result
+      fcmp.le.s1      p11, p0 = fNormX, fMAX_SGL_ZERO_ARG
+      nop.i           0
 }
-
 { .mfb
-      ldfe           exp_T2   =    [EXP_AD_M2]
-(p14) fcmp.gt.s1  p14,p0 = exp_norm_f8,EXP_MAX_SGL_NORM_ARG
-(p15) br.cond.spnt L(EXP_CERTAIN_OVERFLOW) ;;
-}
-
-{ .mfb
-      nop.m 999
-(p12) fcmp.le.s1  p12,p0 = exp_norm_f8,EXP_MAX_SGL_UFLOW_ARG
-(p11) br.cond.spnt L(EXP_CERTAIN_UNDERFLOW_ZERO)
+      nop.m           0
+      fms.s1          fN = fNint, f1, fRightShifter // n in FP register
+      // branch out if overflow
+(p15) br.cond.spnt    EXP_CERTAIN_OVERFLOW
 }
 ;;
 
-{ .mfi
-      nop.m 999
-(p13) fcmp.lt.s1  p13,p0 = exp_norm_f8,EXP_MIN_SGL_NORM_ARG
-      nop.i 999
+{ .mfb
+      getf.sig        rNJ = fNint           // bits of n, j
+      // check for underflow and deno result
+      fcmp.lt.s1      p13, p0 = fNormX, fMIN_SGL_NORM_ARG
+      // branch out if underflow and tiny (+0) result
+(p11) br.cond.spnt    EXP_CERTAIN_UNDERFLOW
 }
 ;;
 
-
 { .mfi
-     nop.m                 999
-     fma.s1    exp_Rsq   =    exp_R,exp_R,f0
-     nop.i                 999
+      nop.m           0
+      // check for possible overflow
+      fcmp.gt.s1      p14, p0 = fNormX, fMAX_SGL_NORM_ARG
+      extr.u          rJ = rNJ, 0, 6        // bits of j
 }
 { .mfi
-     nop.m                 999
-     fma.s1    exp_P3    =    exp_R,exp_coeff_P2,exp_coeff_P1
-     nop.i                 999 
+      addl            rN = 0xFFFF - 63, rNJ // biased and shifted n
+      fnma.s1         fR = fLn2Div64, fN, fNormX // R = x - N*ln(2)/64
+      nop.i           0
 }
 ;;
 
 { .mfi
-     nop.m                 999
-     fma.s1    exp_P1    =    exp_R,exp_coeff_P6,exp_coeff_P5
-     nop.i                 999 
-}
-{ .mfi
-     nop.m                 999
-     fma.s1    exp_P2    =    exp_R,exp_coeff_P4,exp_coeff_P3
-     nop.i                 999
+      shladd          rJ = rJ, 3, rTblAddr  // address in the 2^(j/64) table
+      nop.f           0
+      shr             rN = rN, 6            // biased n
 }
 ;;
 
-
 { .mfi
-     nop.m                 999
-     fma.s1    exp_P7    =    f1,exp_R,f1
-     nop.i                 999
+      ld8             rJ = [rJ]
+      nop.f           0
+      shl             rN = rN, 52           // 2^n bits in DP format
 }
 ;;
 
-
-{ .mfi
-     nop.m                 999
-     fma.s1    exp_P5    =    exp_Rsq,exp_P3,f0
-     nop.i                 999
-}
 { .mfi
-     nop.m                 999
-     fma.s1    exp_R4    =    exp_Rsq,exp_Rsq,f0
-     nop.i                 999 
+      or              rN = rN, rJ // bits of 2^n * 2^(j/64) in DP format
+      nop.f           0
+      nop.i           0
 }
 ;;
 
 { .mfi
-     nop.m                 999
-     fma.s1    exp_T     =    exp_T1,exp_T2,f0
-     nop.i                 999 
+      setf.d          fT = rN               // 2^n * 2^(j/64)
+      fma.s1          fP = fA3, fR, fA2     // A3*R + A2
+      nop.i           0
 }
 { .mfi
-     nop.m                 999
-     fma.s1    exp_P4    =    exp_Rsq,exp_P1,exp_P2
-     nop.i                 999 
+      nop.m           0
+      fma.s1          fRSqr = fR, fR, f0    // R^2
+      nop.i           0
 }
 ;;
 
 { .mfi
-     nop.m                 999
-     fma.s1    exp_A     =    exp_T,exp_P7,f0
-     nop.i                 999
-}
-{ .mfi
-     nop.m                 999
-     fma.s1    exp_P6    =    exp_R4,exp_P4,exp_P5
-     nop.i                 999
+      nop.m           0
+      fma.s1          fP = fP, fRSqr, fR    // P = (A3*R + A2)*R^2 + R
+      nop.i           0
 }
 ;;
 
-{ .bbb
-(p12) br.cond.spnt L(EXP_CERTAIN_UNDERFLOW)
-(p13) br.cond.spnt L(EXP_POSSIBLE_UNDERFLOW)
-(p14) br.cond.spnt L(EXP_POSSIBLE_OVERFLOW)
+{ .mbb
+      nop.m           0
+      // branch out if possible underflow
+(p13) br.cond.spnt    EXP_POSSIBLE_UNDERFLOW
+      // branch out if possible overflow result
+(p14) br.cond.spnt    EXP_POSSIBLE_OVERFLOW
 }
 ;;
 
 { .mfb
-     nop.m            999
-     fma.s     f8   =    exp_T,exp_P6,exp_A
-     br.ret.sptk     b0
+      nop.m           0
+      // final result in the absence of over- and underflow
+      fma.s.s0        f8 = fP, fT, fT
+      // exit here in the absence of over- and underflow
+      br.ret.sptk     b0
 }
 ;;
 
-L(EXP_POSSIBLE_OVERFLOW):
-
-// We got an answer. EXP_MAX_SGL_NORM_ARG < x < EXP_MIN_SGL_OFLOW_ARG
-// overflow is a possibility, not a certainty
-// Set wre in s2 and perform the last operation with s2
-
-// We define an overflow when the answer with
-//    WRE set
-//    user-defined rounding mode
-// is lsn +1
-
-// Is the exponent 1 more than the largest single?
-// If so, go to ERROR RETURN, else (no overflow) get the answer and
-// leave.
-
-// Largest single is FE (biased single)
-//                   FE - 7F + FFFF = 1007E
+EXP_POSSIBLE_OVERFLOW:
 
-// Create + largest_single_plus_ulp
-// Create - largest_single_plus_ulp
+// Here if fMAX_SGL_NORM_ARG < x < fMIN_SGL_OFLOW_ARG
+// This cannot happen if input is a single, only if input higher precision.
+// Overflow is a possibility, not a certainty.
 
-// Calculate answer with WRE set.
-
-// Cases when answer is lsn+1  are as follows:
-
-//           midpoint
-//              |
-//  lsn         |         lsn+1
-// --+----------|----------+------------
-//              |
-//    +inf          +inf      -inf
-//                  RN         RN
-//                             RZ
-// exp_gt_pln contains the floating point number lsn+1.
-// The setf.exp puts 0x1007f in the exponent and 0x800... in the significand.
-
-// If the answer is >= lsn+1, we have overflowed.
-// Then p6 is TRUE. Set the overflow tag, save input in FR_X,
-// do the final calculation for IEEE result, and branch to error return.
+// Recompute result using status field 2 with user's rounding mode,
+// and wre set.  If result is larger than largest single, then we have
+// overflow
 
 { .mfi
-       mov         exp_GR_gt_ln    = 0x1007F 
-       fsetc.s2    0x7F,0x42
-       nop.i 999
+      mov             rGt_ln  = 0x1007f // Exponent for largest single + 1 ulp
+      fsetc.s2        0x7F,0x42         // Get user's round mode, set wre
+      nop.i           0
 }
 ;;
 
 { .mfi
-       setf.exp      exp_gt_pln    = exp_GR_gt_ln
-       fma.s.s2    exp_wre_urm_f8  = exp_T,  exp_P6, exp_A
-       nop.i 999
+      setf.exp        fGt_pln = rGt_ln  // Create largest single + 1 ulp
+      fma.s.s2        fWre_urm_f8 = fP, fT, fT    // Result with wre set
+      nop.i           0
 }
 ;;
 
 { .mfi
-       nop.m 999
-       fsetc.s2 0x7F,0x40
-       nop.i 999
+      nop.m           0
+      fsetc.s2        0x7F,0x40                   // Turn off wre in sf2
+      nop.i           0
 }
 ;;
 
 { .mfi
-       nop.m 999
-       fcmp.ge.unc.s1 p6, p0       =  exp_wre_urm_f8, exp_gt_pln
-       nop.i 999
+      nop.m           0
+      fcmp.ge.s1      p6, p0 =  fWre_urm_f8, fGt_pln // Test for overflow
+      nop.i           0
 }
 ;;
 
 { .mfb
-       nop.m 999
-       nop.f 999
-(p6)   br.cond.spnt L(EXP_CERTAIN_OVERFLOW)  // Branch if really overflow
+      nop.m           0
+      nop.f           0
+(p6)  br.cond.spnt    EXP_CERTAIN_OVERFLOW // Branch if overflow
 }
 ;;
 
 { .mfb
-       nop.m 999
-       fma.s        f8             = exp_T,  exp_P6, exp_A
-       br.ret.sptk     b0                 // Exit if really no overflow
+      nop.m           0
+      fma.s.s0        f8 = fP, fT, fT
+      br.ret.sptk     b0                     // Exit if really no overflow
 }
 ;;
 
-L(EXP_CERTAIN_OVERFLOW):
+// here if overflow
+EXP_CERTAIN_OVERFLOW:
 { .mmi
-      sub   exp_GR_17ones_m1 = exp_GR_17ones, r0, 1 ;;
-      setf.exp     f9 = exp_GR_17ones_m1
-      nop.i 999 ;;
+      addl            r17ones_m1 = 0x1FFFE, r0
+;;
+      setf.exp        fTmp = r17ones_m1
+      nop.i           0
 }
+;;
 
 { .mfi
-      nop.m 999
-      fmerge.s FR_X = f8,f8
-      nop.i 999
+      alloc           r32=ar.pfs,0,3,4,0
+      fmerge.s        FR_X = f8,f8
+      nop.i           0
 }
 { .mfb
-      mov        GR_Parameter_TAG = 16
-      fma.s       FR_RESULT = f9, f9, f0    // Set I,O and +INF result
-      br.cond.sptk  __libm_error_region ;;                             
+      mov             GR_Parameter_TAG = 16
+      fma.s.s0        FR_RESULT = fTmp, fTmp, f0 // Set I,O and +INF result
+      br.cond.sptk    __libm_error_region
 }
+;;
 
-L(EXP_POSSIBLE_UNDERFLOW): 
+EXP_POSSIBLE_UNDERFLOW:
 
-// We got an answer. EXP_MAX_SGL_UFLOW_ARG < x < EXP_MIN_SGL_NORM_ARG
-// underflow is a possibility, not a certainty
+// Here if fMAX_SGL_ZERO_ARG < x < fMIN_SGL_NORM_ARG
+// Underflow is a possibility, not a certainty
 
 // We define an underflow when the answer with
 //    ftz set
@@ -637,144 +549,157 @@ L(EXP_POSSIBLE_UNDERFLOW):
 //                           E
 // -----+--------------------+--------------------+-----
 //      |                    |                    |
-//   1.1...10 2^-7f      1.1...11 2^-7f      1.0...00 2^-7e  
-//   0.1...11 2^-7e                                     (biased, 1)
+//   1.1...10 2^-3fff    1.1...11 2^-3fff    1.0...00 2^-3ffe
+//   0.1...11 2^-3ffe                                   (biased, 1)
 //    largest dn                               smallest normal
 
-// If the answer is = 0, we have underflowed.
-// Then p6 is TRUE. Set the underflow tag, save input in FR_X,
-// do the final calculation for IEEE result, and branch to error return.
-
 { .mfi
-       nop.m 999
-       fsetc.s2 0x7F,0x41
-       nop.i 999
+      nop.m           0
+      fsetc.s2        0x7F,0x41                // Get user's round mode, set ftz
+      nop.i           0
 }
 ;;
 
 { .mfi
-       nop.m 999
-       fma.s.s2     exp_ftz_urm_f8  = exp_T,  exp_P6, exp_A
-       nop.i 999
+      nop.m           0
+      fma.s.s2        fFtz_urm_f8 = fP, fT, fT // Result with ftz set
+      nop.i           0
 }
 ;;
 
-
 { .mfi
-       nop.m 999
-       fsetc.s2 0x7F,0x40
-       nop.i 999
+      nop.m           0
+      fsetc.s2        0x7F,0x40                // Turn off ftz in sf2
+      nop.i           0
 }
 ;;
 
 { .mfi
-       nop.m 999
-       fcmp.eq.unc.s1 p6, p0     =  exp_ftz_urm_f8, f0
-       nop.i 999
+      nop.m           0
+      fcmp.eq.s1      p6, p7 = fFtz_urm_f8, f0 // Test for underflow
+      nop.i           0
+}
+{ .mfi
+      nop.m           0
+      fma.s.s0        f8 = fP, fT, fT          // Compute result, set I, maybe U
+      nop.i           0
 }
 ;;
 
-{ .mfb
-       nop.m 999
-       nop.f 999
-(p6)   br.cond.spnt L(EXP_CERTAIN_UNDERFLOW)  // Branch if really underflow 
+{ .mbb
+      nop.m           0
+(p6)  br.cond.spnt    EXP_UNDERFLOW_COMMON     // Branch if really underflow
+(p7)  br.ret.sptk     b0                       // Exit if really no underflow
+}
+;;
+
+EXP_CERTAIN_UNDERFLOW:
+// Here if  x < fMAX_SGL_ZERO_ARG
+// Result will be zero (or smallest denorm if round to +inf) with I, U set
+{ .mmi
+      mov             rTmp = 1
+;;
+      setf.exp        fTmp = rTmp               // Form small normal
+      nop.i           0
 }
 ;;
 
 { .mfb
-       nop.m 999
-       fma.s        f8             = exp_T,  exp_P6, exp_A
-       br.ret.sptk     b0                  // Exit if really no underflow
+      nop.m           0
+      fma.s.s0        f8 = fTmp, fTmp, f0 // Set I,U, tiny (+0.0) result
+      br.cond.sptk    EXP_UNDERFLOW_COMMON
 }
 ;;
 
-L(EXP_CERTAIN_UNDERFLOW):
+EXP_UNDERFLOW_COMMON:
+// Determine if underflow result is zero or nonzero
 { .mfi
-      nop.m 999
-      fmerge.s FR_X = f8,f8
-      nop.i 999
+      alloc           r32=ar.pfs,0,3,4,0
+      fcmp.eq.s1      p6, p0 =  f8, f0
+      nop.i           0
 }
+;;
+
 { .mfb
-      mov        GR_Parameter_TAG = 17
-      fma.s       FR_RESULT  = exp_T, exp_P6, exp_A // Set I,U and tiny result
-      br.cond.sptk  __libm_error_region ;;                             
+      nop.m           0
+      fmerge.s        FR_X = fNormX,fNormX
+(p6)  br.cond.spnt    EXP_UNDERFLOW_ZERO
 }
+;;
 
-L(EXP_CERTAIN_UNDERFLOW_ZERO):
-{ .mmi
-      mov   exp_GR_one = 1 ;;
-      setf.exp     f9 = exp_GR_one
-      nop.i 999 ;;
+EXP_UNDERFLOW_NONZERO:
+// Here if  x < fMIN_SGL_NORM_ARG and result nonzero;
+// I, U are set
+{ .mfb
+      mov             GR_Parameter_TAG = 17
+      nop.f           0                         // FR_RESULT already set
+      br.cond.sptk    __libm_error_region
 }
+;;
 
-{ .mfi
-      nop.m 999
-      fmerge.s FR_X = f8,f8
-      nop.i 999
-}
+EXP_UNDERFLOW_ZERO:
+// Here if x < fMIN_SGL_NORM_ARG and result zero;
+// I, U are set
 { .mfb
-      mov        GR_Parameter_TAG = 17
-      fma.s       FR_RESULT = f9, f9, f0    // Set I,U and tiny (+0.0) result
-      br.cond.sptk  __libm_error_region ;;                             
+      mov             GR_Parameter_TAG = 17
+      nop.f           0                         // FR_RESULT already set
+      br.cond.sptk    __libm_error_region
 }
+;;
 
-.endp expf
-ASM_SIZE_DIRECTIVE(expf)
-
+GLOBAL_IEEE754_END(expf)
 
-.proc __libm_error_region
-__libm_error_region:
+LOCAL_LIBM_ENTRY(__libm_error_region)
 .prologue
 { .mfi
-        add   GR_Parameter_Y=-32,sp             // Parameter 2 value
-	nop.f 999
+      add   GR_Parameter_Y=-32,sp             // Parameter 2 value
+      nop.f 0
 .save   ar.pfs,GR_SAVE_PFS
-        mov  GR_SAVE_PFS=ar.pfs                 // Save ar.pfs
+      mov  GR_SAVE_PFS=ar.pfs                 // Save ar.pfs
 }
 { .mfi
 .fframe 64
-        add sp=-64,sp                           // Create new stack
-        nop.f 0
-        mov GR_SAVE_GP=gp                       // Save gp
+      add sp=-64,sp                           // Create new stack
+      nop.f 0
+      mov GR_SAVE_GP=gp                       // Save gp
 };;
 { .mmi
-        stfs [GR_Parameter_Y] = FR_Y,16         // Store Parameter 2 on stack
-        add GR_Parameter_X = 16,sp              // Parameter 1 address
+      stfs [GR_Parameter_Y] = FR_Y,16         // Store Parameter 2 on stack
+      add GR_Parameter_X = 16,sp              // Parameter 1 address
 .save   b0, GR_SAVE_B0
-        mov GR_SAVE_B0=b0                       // Save b0
+      mov GR_SAVE_B0=b0                       // Save b0
 };;
 .body
 { .mfi
-        stfs [GR_Parameter_X] = FR_X            // Store Parameter 1 on stack
-        nop.f 0
-        add   GR_Parameter_RESULT = 0,GR_Parameter_Y // Parameter 3 address
+      stfs [GR_Parameter_X] = FR_X            // Store Parameter 1 on stack
+      nop.f 0
+      add   GR_Parameter_RESULT = 0,GR_Parameter_Y // Parameter 3 address
 }
 { .mib
-        stfs [GR_Parameter_Y] = FR_RESULT       // Store Parameter 3 on stack
-        add   GR_Parameter_Y = -16,GR_Parameter_Y
-        br.call.sptk b0=__libm_error_support#   // Call error handling function
+      stfs [GR_Parameter_Y] = FR_RESULT       // Store Parameter 3 on stack
+      add   GR_Parameter_Y = -16,GR_Parameter_Y
+      br.call.sptk b0=__libm_error_support#   // Call error handling function
 };;
 
 { .mmi
-        nop.m 0
-        nop.m 0
-        add   GR_Parameter_RESULT = 48,sp
+      add   GR_Parameter_RESULT = 48,sp
+      nop.m 0
+      nop.i 0
 };;
 
 { .mmi
-        ldfs  f8 = [GR_Parameter_RESULT]       // Get return result off stack
+      ldfs  f8 = [GR_Parameter_RESULT]       // Get return result off stack
 .restore sp
-        add   sp = 64,sp                       // Restore stack pointer
-        mov   b0 = GR_SAVE_B0                  // Restore return address
+      add   sp = 64,sp                       // Restore stack pointer
+      mov   b0 = GR_SAVE_B0                  // Restore return address
 };;
 { .mib
-        mov   gp = GR_SAVE_GP                  // Restore gp 
-        mov   ar.pfs = GR_SAVE_PFS             // Restore ar.pfs
-        br.ret.sptk     b0                     // Return
-};; 
+      mov   gp = GR_SAVE_GP                  // Restore gp
+      mov   ar.pfs = GR_SAVE_PFS             // Restore ar.pfs
+      br.ret.sptk     b0                     // Return
+};;
 
-.endp __libm_error_region
-ASM_SIZE_DIRECTIVE(__libm_error_region)
+LOCAL_LIBM_END(__libm_error_region)
 
 
 .type   __libm_error_support#,@function
diff --git a/sysdeps/ia64/fpu/e_fmod.S b/sysdeps/ia64/fpu/e_fmod.S
index 2b3ee9610f..d801e0c128 100644
--- a/sysdeps/ia64/fpu/e_fmod.S
+++ b/sysdeps/ia64/fpu/e_fmod.S
@@ -1,11 +1,10 @@
 .file "fmod.s"
 
-// Copyright (C) 2000, 2001, Intel Corporation
+
+// Copyright (c) 2000 - 2003, Intel Corporation
 // All rights reserved.
 //
-// Contributed 2/2/2000 by John Harrison, Cristina Iordache, Ted Kubaska,
-// Bob Norin, Shane Story, and Ping Tak Peter Tang of the Computational
-// Software Lab, Intel Corporation.
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
 //
 // Redistribution and use in source and binary forms, with or without
 // modification, are permitted provided that the following conditions are
@@ -21,7 +20,7 @@
 // * The name of Intel Corporation may not be used to endorse or promote
 // products derived from this software without specific prior written
 // permission.
-//
+
 // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
 // "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
@@ -36,38 +35,42 @@
 //
 // Intel Corporation is the author of this code, and requests that all
 // problem reports or change requests be submitted to it directly at
-// http://developer.intel.com/opensource.
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
 //
 // History
 //====================================================================
-// 2/02/00  Initial version
-// 3/02/00  New Algorithm
-// 4/04/00  Unwind support added
-// 8/15/00  Bundle added after call to __libm_error_support to properly
+// 02/02/00 Initial version
+// 03/02/00 New Algorithm
+// 04/04/00 Unwind support added
+// 08/15/00 Bundle added after call to __libm_error_support to properly
 //          set [the previously overwritten] GR_Parameter_RESULT.
-//11/28/00  Set FR_Y to f9
+// 11/28/00 Set FR_Y to f9
+// 03/11/02 Fixed flags for fmod(qnan,zero)
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 02/10/03 Reordered header: .section, .global, .proc, .align
+// 04/28/03 Fix: fmod(sNaN,0) no longer sets errno
 //
 // API
 //====================================================================
-// double fmod(double,double);   
+// double fmod(double,double);
 //
 // Overview of operation
 //====================================================================
 //  fmod(a,b)=a-i*b,
-//  where i is an integer such that, if b!=0, 
+//  where i is an integer such that, if b!=0,
 //  |i|<|a/b| and |a/b-i|<1
 //
 // Algorithm
 //====================================================================
 // a). if |a|<|b|, return a
-// b). get quotient and reciprocal overestimates accurate to 
+// b). get quotient and reciprocal overestimates accurate to
 //     33 bits (q2,y2)
 // c). if the exponent difference (exponent(a)-exponent(b))
 //     is less than 32, truncate quotient to integer and
 //     finish in one iteration
 // d). if exponent(a)-exponent(b)>=32 (q2>=2^32)
 //     round quotient estimate to single precision (k=RN(q2)),
-//     calculate partial remainder (a'=a-k*b), 
+//     calculate partial remainder (a'=a-k*b),
 //     get quotient estimate (a'*y2), and repeat from c).
 //
 // Special cases
@@ -81,14 +84,9 @@
 // General registers:   r2,r29,r32 (ar.pfs), r33-r39
 // Floating point registers: f6-f15
 
-#include "libm_support.h"
-
-.section .text
-
-
 GR_SAVE_B0                    = r33
 GR_SAVE_PFS                   = r34
-GR_SAVE_GP                    = r35 
+GR_SAVE_GP                    = r35
 GR_SAVE_SP                    = r36
 
 GR_Parameter_X                = r37
@@ -101,17 +99,9 @@ FR_Y             = f9
 FR_RESULT        = f8
 
 
-.proc fmod#
-.align 32
-.global fmod#
-.align 32
+.section .text
+GLOBAL_IEEE754_ENTRY(fmod)
 
-fmod:
-#ifdef _LIBC
-.global __ieee754_fmod
-.type __ieee754_fmod,@function
-__ieee754_fmod:
-#endif
 // inputs in f8, f9
 // result in f8
 
@@ -133,12 +123,12 @@ __ieee754_fmod:
   // (1) y0
   frcpa.s1 f10,p6=f6,f7
   nop.i 0
-} 
+}
 
 // Y +-NAN, +-inf, +-0?     p7
 { .mfi
       nop.m 999
-(p0)  fclass.m.unc  p7,p0 = f9, 0xe7           
+      fclass.m.unc  p7,p0 = f9, 0xe7
       nop.i 999;;
 }
 
@@ -149,14 +139,14 @@ __ieee754_fmod:
 
 { .mfi
       nop.m 999
-(p0)  fclass.m.unc  p9,p0 = f8, 0xe3           
-      nop.i 999 
+      fclass.m.unc  p9,p0 = f8, 0xe3
+      nop.i 999
 }
 
 // |x| < |y|? Return x p8
 { .mfi
       nop.m 999
-(p0)  fcmp.lt.unc.s1 p8,p0 = f6,f7             
+      fcmp.lt.unc.s1 p8,p0 = f6,f7
       nop.i 999 ;;
 }
 
@@ -172,33 +162,33 @@ __ieee754_fmod:
   // (2) q0=a*y0
   (p6) fma.s1 f13=f6,f10,f0
   nop.i 0
-} 
+}
 { .mfi
   nop.m 0
   // (3) e0 = 1 - b * y0
   (p6) fnma.s1 f12=f7,f10,f1
   nop.i 0;;
-} 
+}
 
   {.mfi
   nop.m 0
   // normalize x (if |x|<|y|)
   (p8) fma.d.s0 f8=f8,f1,f0
   nop.i 0
-} 
+}
 {.bbb
-  (p9) br.cond.spnt L(FMOD_X_NAN_INF)
-  (p7) br.cond.spnt L(FMOD_Y_NAN_INF_ZERO)
+  (p9) br.cond.spnt FMOD_X_NAN_INF
+  (p7) br.cond.spnt FMOD_Y_NAN_INF_ZERO
   // if |x|<|y|, return
   (p8) br.ret.spnt    b0;;
 }
 
-  {.mfi 
+  {.mfi
   nop.m 0
   // normalize x
   fma.s0 f6=f6,f1,f0
   nop.i 0
-} 
+}
 {.mfi
   nop.m 0
   // normalize y
@@ -212,45 +202,45 @@ __ieee754_fmod:
   // (4) q1=q0+e0*q0
   (p6) fma.s1 f13=f12,f13,f13
   nop.i 0
-} 
+}
 { .mfi
   nop.m 0
   // (5) e1 = e0 * e0 + 2^-34
   (p6) fma.s1 f14=f12,f12,f11
   nop.i 0;;
-} 
+}
 {.mlx
   nop.m 0
   movl r2=0x33a00000;;
-} 
+}
 { .mfi
   nop.m 0
   // (6) y1 = y0 + e0 * y0
   (p6) fma.s1 f10=f12,f10,f10
   nop.i 0;;
-} 
+}
 {.mfi
   // set f12=1.25*2^{-24}
   setf.s f12=r2
   // (7) q2=q1+e1*q1
   (p6) fma.s1 f13=f13,f14,f13
   nop.i 0;;
-} 
+}
 {.mfi
   nop.m 0
   fmerge.s f9=f8,f9
   nop.i 0
-} 
+}
 { .mfi
   nop.m 0
   // (8) y2 = y1 + e1 * y1
   (p6) fma.s1 f10=f14,f10,f10
   // set p6=0, p10=0
   cmp.ne.and p6,p10=r0,r0;;
-} 
+}
 
 .align 32
-L(loop53):
+loop53:
   {.mfi
   nop.m 0
   // compare q2, 2^32
@@ -280,7 +270,7 @@ L(loop53):
   // normalize truncated quotient
   (p8) fcvt.xf f13=f11
   nop.i 0;;
-}  
+}
   { .mfi
   nop.m 0
   // calculate remainder (assuming f13=RZ(Q))
@@ -289,7 +279,7 @@ L(loop53):
 }
   {.mfi
   nop.m 0
-  // also if exponent>32, round quotient to single precision 
+  // also if exponent>32, round quotient to single precision
   // and subtract 1 ulp: q=q-q*(1.25*2^{-24})
   (p7) fnma.s.s1 f11=f13,f12,f13
   nop.i 0;;
@@ -332,7 +322,7 @@ L(loop53):
 .pred.rel "mutex",p6,p10
   {.mfb
   nop.m 0
-  // add b to estimated remainder (to cover the case when the quotient was overestimated) 
+  // add b to estimated remainder (to cover the case when the quotient was overestimated)
   // also set correct sign by using f9=|b|*sgn(a), f12=sgn(a)
   (p6) fma.d.s0 f8=f11,f12,f9
   nop.b 0
@@ -354,97 +344,114 @@ L(loop53):
   nop.m 0
   // if f14 was RZ(Q), set remainder to f14
   (p9) mov f6=f14
-  br.cond.sptk L(loop53);;
+  br.cond.sptk loop53;;
 }
 
 
 
-L(FMOD_X_NAN_INF): 
+FMOD_X_NAN_INF:
 
 // Y zero ?
-{.mfi 
+{.mfi
+  nop.m 0
+  fclass.m p10,p0=f8,0xc3     // Test x=nan
+  nop.i 0
+}
+{.mfi
   nop.m 0
   fma.s1 f10=f9,f1,f0
   nop.i 0;;
 }
+
 {.mfi
+  nop.m 0
+  fma.s0 f8=f8,f1,f0
+  nop.i 0
+}
+{.mfi
+  nop.m 0
+(p10) fclass.m p10,p0=f9,0x07 // Test x=nan, and y=zero
+  nop.i 0;;
+}
+
+{.mfb
  nop.m 0
  fcmp.eq.unc.s1 p11,p0=f10,f0
- nop.i 0;;
+(p10) br.ret.spnt b0;;        // Exit with result=x if x=nan and y=zero
 }
 {.mib
   nop.m 0
   nop.i 0
   // if Y zero
-  (p11) br.cond.spnt L(FMOD_Y_ZERO);;                        
+  (p11) br.cond.spnt FMOD_Y_ZERO;;
 }
 
 // X infinity? Return QNAN indefinite
 { .mfi
       nop.m 999
-(p0)  fclass.m.unc  p8,p9 = f8, 0x23 
-      nop.i 999;; 
+      fclass.m.unc  p8,p9 = f8, 0x23
+      nop.i 999;;
 }
 // Y NaN ?
 {.mfi
-	 nop.m 999
+     nop.m 999
 (p8) fclass.m p9,p8=f9,0xc3
-	 nop.i 0;;
+     nop.i 0;;
 }
 {.mfi
-	  nop.m 999
-(p8)  frcpa.s0 f8,p0 = f8,f8           
+      nop.m 999
+(p8)  frcpa.s0 f8,p0 = f8,f8
       nop.i 0
-} 
+}
 { .mfi
       nop.m 999
-	// also set Denormal flag if necessary
+    // also set Denormal flag if necessary
 (p8)  fma.s0 f9=f9,f1,f0
       nop.i 999 ;;
 }
 
 { .mfb
       nop.m 999
-(p8)  fma.d f8=f8,f1,f0                     
-	  nop.b 999 ;;                        
+(p8)  fma.d.s0 f8=f8,f1,f0
+      nop.b 999 ;;
 }
 
 { .mfb
       nop.m 999
-(p9)  frcpa.s0 f8,p7=f8,f9                     
-      br.ret.sptk   b0 ;;                        
+(p9)  frcpa.s0 f8,p7=f8,f9
+      br.ret.sptk   b0 ;;
 }
 
 
-L(FMOD_Y_NAN_INF_ZERO): 
+FMOD_Y_NAN_INF_ZERO:
 
 // Y INF
 { .mfi
       nop.m 999
-(p0)  fclass.m.unc  p7,p0 = f9, 0x23           
+      fclass.m.unc  p7,p0 = f9, 0x23
       nop.i 999 ;;
 }
 
 { .mfb
       nop.m 999
-(p7)  fma.d f8=f8,f1,f0                     
-(p7)  br.ret.spnt    b0 ;;                        
+(p7)  fma.d.s0 f8=f8,f1,f0
+(p7)  br.ret.spnt    b0 ;;
 }
 
 // Y NAN?
 { .mfi
       nop.m 999
-(p0)  fclass.m.unc  p9,p0 = f9, 0xc3           
+      fclass.m.unc  p9,p0 = f9, 0xc3
       nop.i 999 ;;
 }
 
 { .mfb
       nop.m 999
-(p9)  fma.d f8=f9,f1,f0                     
-(p9)  br.ret.spnt    b0 ;;                        
+(p9)  fma.d.s0 f8=f9,f1,f0
+(p9)  br.ret.spnt    b0 ;;
 }
 
-L(FMOD_Y_ZERO):
+FMOD_Y_ZERO:
 // Y zero? Must be zero at this point
 // because it is the only choice left.
 // Return QNAN indefinite
@@ -452,60 +459,56 @@ L(FMOD_Y_ZERO):
 {.mfi
   nop.m 0
   // set Invalid
-  frcpa f12,p0=f0,f0
+  frcpa.s0 f12,p0=f0,f0
   nop.i 0
 }
 // X NAN?
 { .mfi
       nop.m 999
-(p0)  fclass.m.unc  p9,p10 = f8, 0xc3           
+      fclass.m.unc  p9,p10 = f8, 0xc3
       nop.i 999 ;;
 }
 { .mfi
       nop.m 999
-(p10)  fclass.nm  p9,p10 = f8, 0xff           
+(p10)  fclass.nm  p9,p10 = f8, 0xff
       nop.i 999 ;;
 }
 
 {.mfi
  nop.m 999
- (p9) frcpa f11,p7=f8,f0
+ (p9) frcpa.s0 f11,p7=f8,f0
  nop.i 0;;
 }
 
 { .mfi
       nop.m 999
-(p10)  frcpa         f11,p7 = f9,f9           
-(p0)  mov        GR_Parameter_TAG = 121 ;;                                 
+(p10)  frcpa.s0         f11,p7 = f9,f9
+      mov        GR_Parameter_TAG = 121 ;;
 }
 
 { .mfi
       nop.m 999
-(p0)  fmerge.s      f10 = f8, f8             
+      fmerge.s      f10 = f8, f8
       nop.i 999
 }
 
 { .mfb
       nop.m 999
-(p0)  fma.d f8=f11,f1,f0                     
-(p0)  br.sptk __libm_error_region;; 
+      fma.d.s0 f8=f11,f1,f0
+      br.sptk __libm_error_region;;
 }
 
-.endp fmod
-ASM_SIZE_DIRECTIVE(fmod)
-ASM_SIZE_DIRECTIVE(__ieee754_fmod)
-
-.proc __libm_error_region
-__libm_error_region:
+GLOBAL_IEEE754_END(fmod)
+LOCAL_LIBM_ENTRY(__libm_error_region)
 .prologue
 { .mfi
         add   GR_Parameter_Y=-32,sp             // Parameter 2 value
         nop.f 0
 .save   ar.pfs,GR_SAVE_PFS
-        mov  GR_SAVE_PFS=ar.pfs                 // Save ar.pfs 
+        mov  GR_SAVE_PFS=ar.pfs                 // Save ar.pfs
 }
 { .mfi
-.fframe 64 
+.fframe 64
         add sp=-64,sp                           // Create new stack
         nop.f 0
         mov GR_SAVE_GP=gp                       // Save gp
@@ -513,18 +516,18 @@ __libm_error_region:
 { .mmi
         stfd [GR_Parameter_Y] = FR_Y,16         // Save Parameter 2 on stack
         add GR_Parameter_X = 16,sp              // Parameter 1 address
-.save   b0, GR_SAVE_B0                      
-        mov GR_SAVE_B0=b0                       // Save b0 
+.save   b0, GR_SAVE_B0
+        mov GR_SAVE_B0=b0                       // Save b0
 };;
 .body
 { .mib
-        stfd [GR_Parameter_X] = FR_X            // Store Parameter 1 on stack 
-        add   GR_Parameter_RESULT = 0,GR_Parameter_Y  
-	nop.b 0                                 // Parameter 3 address
+        stfd [GR_Parameter_X] = FR_X            // Store Parameter 1 on stack
+        add   GR_Parameter_RESULT = 0,GR_Parameter_Y
+    nop.b 0                                 // Parameter 3 address
 }
 { .mib
         stfd [GR_Parameter_Y] = FR_RESULT      // Store Parameter 3 on stack
-        add   GR_Parameter_Y = -16,GR_Parameter_Y  
+        add   GR_Parameter_Y = -16,GR_Parameter_Y
         br.call.sptk b0=__libm_error_support#  // Call error handling function
 };;
 { .mmi
@@ -539,13 +542,17 @@ __libm_error_region:
         mov   b0 = GR_SAVE_B0                  // Restore return address
 };;
 { .mib
-        mov   gp = GR_SAVE_GP                  // Restore gp 
+        mov   gp = GR_SAVE_GP                  // Restore gp
         mov   ar.pfs = GR_SAVE_PFS             // Restore ar.pfs
         br.ret.sptk     b0                     // Return
-};; 
+};;
+
+LOCAL_LIBM_END(__libm_error_region)
 
-.endp __libm_error_region
-ASM_SIZE_DIRECTIVE(__libm_error_region)
 
 .type   __libm_error_support#,@function
 .global __libm_error_support#
+
+
+
+
diff --git a/sysdeps/ia64/fpu/e_fmodf.S b/sysdeps/ia64/fpu/e_fmodf.S
index 5b6390eeec..fe1ec0304d 100644
--- a/sysdeps/ia64/fpu/e_fmodf.S
+++ b/sysdeps/ia64/fpu/e_fmodf.S
@@ -1,10 +1,10 @@
 .file "fmodf.s"
-// Copyright (c) 2000, 2001, Intel Corporation
+
+
+// Copyright (c) 2000 - 2003, Intel Corporation
 // All rights reserved.
 //
-// Contributed 2/2/2000 by John Harrison, Cristina Iordache, Ted Kubaska, 
-// Bob Norin, Shane Story, and Ping Tak Peter Tang of the Computational 
-// Software Lab, Intel Corporation.
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
 //
 // Redistribution and use in source and binary forms, with or without
 // modification, are permitted provided that the following conditions are
@@ -20,9 +20,7 @@
 // * The name of Intel Corporation may not be used to endorse or promote
 // products derived from this software without specific prior written
 // permission.
-//
-// WARRANTY DISCLAIMER
-//
+
 // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
 // "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
@@ -37,38 +35,42 @@
 //
 // Intel Corporation is the author of this code, and requests that all
 // problem reports or change requests be submitted to it directly at
-// http://developer.intel.com/opensource.
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
 //
 // History
 //====================================================================
-// 2/02/00  Initial version
-// 3/02/00  New Algorithm
-// 4/04/00  Unwind support added
-// 8/15/00  Bundle added after call to __libm_error_support to properly
+// 02/02/00 Initial version
+// 03/02/00 New Algorithm
+// 04/04/00 Unwind support added
+// 08/15/00 Bundle added after call to __libm_error_support to properly
 //          set [the previously overwritten] GR_Parameter_RESULT.
-//11/28/00  Set FR_Y to f9
+// 11/28/00 Set FR_Y to f9
+// 03/11/02 Fixed flags for fmodf(qnan,zero)
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 02/10/03 Reordered header: .section, .global, .proc, .align
+// 04/28/03 Fix: fmod(sNaN,0) no longer sets errno
 //
 // API
 //====================================================================
-// float fmodf(float,float);   
+// float fmodf(float,float);
 //
 // Overview of operation
 //====================================================================
 //  fmod(a,b)=a-i*b,
-//  where i is an integer such that, if b!=0, 
+//  where i is an integer such that, if b!=0,
 //  |i|<|a/b| and |a/b-i|<1
 
 // Algorithm
 //====================================================================
 // a). if |a|<|b|, return a
-// b). get quotient and reciprocal overestimates accurate to 
+// b). get quotient and reciprocal overestimates accurate to
 //     33 bits (q2,y2)
 // c). if the exponent difference (exponent(a)-exponent(b))
 //     is less than 32, truncate quotient to integer and
 //     finish in one iteration
 // d). if exponent(a)-exponent(b)>=32 (q2>=2^32)
 //     round quotient estimate to single precision (k=RN(q2)),
-//     calculate partial remainder (a'=a-k*b), 
+//     calculate partial remainder (a'=a-k*b),
 //     get quotient estimate (a'*y2), and repeat from c).
 
 // Special cases
@@ -82,13 +84,9 @@
 // General registers:   r2,r29,r32 (ar.pfs), r33-r39
 // Floating point registers: f6-f15
 
-#include "libm_support.h"
-
-.section .text
-
 GR_SAVE_B0                    = r33
 GR_SAVE_PFS                   = r34
-GR_SAVE_GP                    = r35 
+GR_SAVE_GP                    = r35
 GR_SAVE_SP                    = r36
 
 GR_Parameter_X                = r37
@@ -101,18 +99,9 @@ FR_Y             = f9
 FR_RESULT        = f8
 
 
+.section .text
+GLOBAL_IEEE754_ENTRY(fmodf)
 
-.proc fmodf#
-.align 32
-.global fmodf#
-.align 32
-
-fmodf:
-#ifdef _LIBC
-.global __ieee754_fmodf
-.type __ieee754_fmodf,@function
-__ieee754_fmodf:
-#endif
 // inputs in f8, f9
 // result in f8
 
@@ -134,13 +123,13 @@ __ieee754_fmodf:
   // (1) y0
   frcpa.s1 f10,p6=f6,f7
   nop.i 0
-} 
+}
 
 // eliminate special cases
 // Y +-NAN, +-inf, +-0?     p7
 { .mfi
       nop.m 999
-(p0)  fclass.m.unc  p7,p0 = f9, 0xe7           
+      fclass.m.unc  p7,p0 = f9, 0xe7
       nop.i 999;;
 }
 
@@ -151,14 +140,14 @@ __ieee754_fmodf:
 
 { .mfi
       nop.m 999
-(p0)  fclass.m.unc  p9,p0 = f8, 0xe3           
-      nop.i 999 
+      fclass.m.unc  p9,p0 = f8, 0xe3
+      nop.i 999
 }
 
 // |x| < |y|? Return x p8
 { .mfi
       nop.m 999
-(p0)  fcmp.lt.unc.s1 p8,p0 = f6,f7             
+      fcmp.lt.unc.s1 p8,p0 = f6,f7
       nop.i 999 ;;
 }
 
@@ -174,33 +163,33 @@ __ieee754_fmodf:
   // (2) q0=a*y0
   (p6) fma.s1 f13=f6,f10,f0
   nop.i 0
-} 
+}
 { .mfi
   nop.m 0
   // (3) e0 = 1 - b * y0
   (p6) fnma.s1 f12=f7,f10,f1
   nop.i 0;;
-} 
+}
 
   {.mfi
   nop.m 0
   // normalize x (if |x|<|y|)
   (p8) fma.s.s0 f8=f8,f1,f0
   nop.i 0
-} 
+}
 {.bbb
-  (p9) br.cond.spnt L(FMOD_X_NAN_INF)
-  (p7) br.cond.spnt L(FMOD_Y_NAN_INF_ZERO)
+  (p9) br.cond.spnt FMOD_X_NAN_INF
+  (p7) br.cond.spnt FMOD_Y_NAN_INF_ZERO
   // if |x|<|y|, return
   (p8) br.ret.spnt    b0;;
 }
 
-  {.mfi 
+  {.mfi
   nop.m 0
   // normalize x
   fma.s0 f6=f6,f1,f0
   nop.i 0
-} 
+}
 {.mfi
   nop.m 0
   // normalize y
@@ -215,45 +204,45 @@ __ieee754_fmodf:
   // (4) q1=q0+e0*q0
   (p6) fma.s1 f13=f12,f13,f13
   nop.i 0
-} 
+}
 { .mfi
   nop.m 0
   // (5) e1 = e0 * e0 + 2^-34
   (p6) fma.s1 f14=f12,f12,f11
   nop.i 0;;
-} 
+}
 {.mlx
   nop.m 0
   movl r2=0x33a00000;;
-} 
+}
 { .mfi
   nop.m 0
   // (6) y1 = y0 + e0 * y0
   (p6) fma.s1 f10=f12,f10,f10
   nop.i 0;;
-} 
+}
 {.mfi
   // set f12=1.25*2^{-24}
   setf.s f12=r2
   // (7) q2=q1+e1*q1
   (p6) fma.s1 f13=f13,f14,f13
   nop.i 0;;
-} 
+}
 {.mfi
   nop.m 0
   fmerge.s f9=f8,f9
   nop.i 0
-} 
+}
 { .mfi
   nop.m 0
   // (8) y2 = y1 + e1 * y1
   (p6) fma.s1 f10=f14,f10,f10
   // set p6=0, p10=0
   cmp.ne.and p6,p10=r0,r0;;
-} 
+}
 
 .align 32
-L(loop24):
+loop24:
   {.mfi
   nop.m 0
   // compare q2, 2^32
@@ -283,7 +272,7 @@ L(loop24):
   // normalize truncated quotient
   (p8) fcvt.xf f13=f11
   nop.i 0;;
-}  
+}
   { .mfi
   nop.m 0
   // calculate remainder (assuming f13=RZ(Q))
@@ -292,7 +281,7 @@ L(loop24):
 }
   {.mfi
   nop.m 0
-  // also if exponent>32, round quotient to single precision 
+  // also if exponent>32, round quotient to single precision
   // and subtract 1 ulp: q=q-q*(1.25*2^{-24})
   (p7) fnma.s.s1 f11=f13,f12,f13
   nop.i 0;;
@@ -335,7 +324,7 @@ L(loop24):
 .pred.rel "mutex",p6,p10
   {.mfb
   nop.m 0
-  // add b to estimated remainder (to cover the case when the quotient was overestimated) 
+  // add b to estimated remainder (to cover the case when the quotient was overestimated)
   // also set correct sign by using f9=|b|*sgn(a), f12=sgn(a)
   (p6) fma.s.s0 f8=f11,f12,f9
   nop.b 0
@@ -357,102 +346,118 @@ L(loop24):
   nop.m 0
   // if f14 was RZ(Q), set remainder to f14
   (p9) mov f6=f14
-  br.cond.sptk L(loop24);;
+  br.cond.sptk loop24;;
 }
 
   {  .mmb
-	nop.m 0				    
-	nop.m 0				    
-	br.ret.sptk b0;;
+    nop.m 0
+    nop.m 0
+    br.ret.sptk b0;;
  }
 
-L(FMOD_X_NAN_INF): 
+FMOD_X_NAN_INF:
 
 
 // Y zero ?
-{.mfi 
+{.mfi
+  nop.m 0
+  fclass.m p10,p0=f8,0xc3     // Test x=nan
+  nop.i 0
+}
+{.mfi
   nop.m 0
   fma.s1 f10=f9,f1,f0
   nop.i 0;;
 }
+
 {.mfi
+  nop.m 0
+  fma.s0 f8=f8,f1,f0
+  nop.i 0
+}
+{.mfi
+  nop.m 0
+(p10) fclass.m p10,p0=f9,0x07 // Test x=nan, and y=zero
+  nop.i 0;;
+}
+{.mfb
  nop.m 0
  fcmp.eq.unc.s1 p11,p0=f10,f0
- nop.i 0;;
+(p10) br.ret.spnt b0;;        // Exit with result=x if x=nan and y=zero
 }
 {.mib
   nop.m 0
   nop.i 0
   // if Y zero
-  (p11) br.cond.spnt L(FMOD_Y_ZERO);;                        
+  (p11) br.cond.spnt FMOD_Y_ZERO;;
 }
 
 // X infinity? Return QNAN indefinite
 { .mfi
       nop.m 999
-(p0)  fclass.m.unc  p8,p9 = f8, 0x23 
-      nop.i 999;; 
+      fclass.m.unc  p8,p9 = f8, 0x23
+      nop.i 999;;
 }
 // Y NaN ?
 {.mfi
-	 nop.m 999
+     nop.m 999
 (p8) fclass.m p9,p8=f9,0xc3
-	 nop.i 0;;
+     nop.i 0;;
 }
 {.mfi
-	nop.m 999
-(p8)  frcpa.s0 f8,p0 = f8,f8           
+    nop.m 999
+(p8)  frcpa.s0 f8,p0 = f8,f8
     nop.i 0
-} 
+}
 { .mfi
       nop.m 999
-	// also set Denormal flag if necessary
+    // also set Denormal flag if necessary
 (p8)  fma.s0 f9=f9,f1,f0
       nop.i 999 ;;
 }
 
 { .mfb
       nop.m 999
-(p8)  fma.s f8=f8,f1,f0                     
-	  nop.b 999 ;;                        
+(p8)  fma.s.s0 f8=f8,f1,f0
+      nop.b 999 ;;
 }
 
 { .mfb
       nop.m 999
-(p9)  frcpa.s0 f8,p7=f8,f9                     
-      br.ret.sptk    b0 ;;                        
+(p9)  frcpa.s0 f8,p7=f8,f9
+      br.ret.sptk    b0 ;;
 }
 
 
-L(FMOD_Y_NAN_INF_ZERO): 
+FMOD_Y_NAN_INF_ZERO:
 
 // Y INF
 { .mfi
       nop.m 999
-(p0)  fclass.m.unc  p7,p0 = f9, 0x23           
+      fclass.m.unc  p7,p0 = f9, 0x23
       nop.i 999 ;;
 }
 
 { .mfb
       nop.m 999
-(p7)  fma.s f8=f8,f1,f0                     
-(p7)  br.ret.spnt    b0 ;;                        
+(p7)  fma.s.s0 f8=f8,f1,f0
+(p7)  br.ret.spnt    b0 ;;
 }
 
 // Y NAN?
 { .mfi
       nop.m 999
-(p0)  fclass.m.unc  p9,p0 = f9, 0xc3           
+      fclass.m.unc  p9,p0 = f9, 0xc3
       nop.i 999 ;;
 }
 
 { .mfb
       nop.m 999
-(p9)  fma.s f8=f9,f1,f0                     
-(p9)  br.ret.spnt    b0 ;;                        
+(p9)  fma.s.s0 f8=f9,f1,f0
+(p9)  br.ret.spnt    b0 ;;
 }
 
-L(FMOD_Y_ZERO):
+FMOD_Y_ZERO:
 // Y zero? Must be zero at this point
 // because it is the only choice left.
 // Return QNAN indefinite
@@ -460,69 +465,65 @@ L(FMOD_Y_ZERO):
 {.mfi
   nop.m 0
   // set Invalid
-  frcpa f12,p0=f0,f0
+  frcpa.s0 f12,p0=f0,f0
   nop.i 999
 }
 // X NAN?
 { .mfi
       nop.m 999
-(p0)  fclass.m.unc  p9,p10 = f8, 0xc3           
+      fclass.m.unc  p9,p10 = f8, 0xc3
       nop.i 999 ;;
 }
 { .mfi
       nop.m 999
-(p10)  fclass.nm  p9,p10 = f8, 0xff           
+(p10)  fclass.nm  p9,p10 = f8, 0xff
       nop.i 999 ;;
 }
 
 {.mfi
  nop.m 999
- (p9) frcpa f11,p7=f8,f0
+ (p9) frcpa.s0 f11,p7=f8,f0
  nop.i 0;;
 }
 
 { .mfi
       nop.m 999
-(p10) frcpa f11,p7 = f0,f0           
+(p10) frcpa.s0 f11,p7 = f0,f0
 nop.i 999;;
 }
 
 { .mfi
       nop.m 999
-(p0)  fmerge.s      f10 = f8, f8             
+      fmerge.s      f10 = f8, f8
       nop.i 999
 }
 
 { .mfi
       nop.m 999
-(p0)  fma.s f8=f11,f1,f0                     
+      fma.s.s0 f8=f11,f1,f0
       nop.i 999;;
 }
 
-L(EXP_ERROR_RETURN): 
+EXP_ERROR_RETURN:
 
 
 { .mib
       nop.m 0
-(p0)  mov GR_Parameter_TAG=122                                 
-(p0)  br.sptk __libm_error_region;; 
+      mov GR_Parameter_TAG=122
+      br.sptk __libm_error_region;;
 }
 
-.endp fmodf
-ASM_SIZE_DIRECTIVE(fmodf)
-ASM_SIZE_DIRECTIVE(__ieee754_fmodf)
-
-.proc __libm_error_region
-__libm_error_region:
+GLOBAL_IEEE754_END(fmodf)
+LOCAL_LIBM_ENTRY(__libm_error_region)
 .prologue
 { .mfi
         add   GR_Parameter_Y=-32,sp             // Parameter 2 value
         nop.f 0
 .save   ar.pfs,GR_SAVE_PFS
-        mov  GR_SAVE_PFS=ar.pfs                 // Save ar.pfs 
+        mov  GR_SAVE_PFS=ar.pfs                 // Save ar.pfs
 }
 { .mfi
-.fframe 64 
+.fframe 64
         add sp=-64,sp                           // Create new stack
         nop.f 0
         mov GR_SAVE_GP=gp                       // Save gp
@@ -530,18 +531,18 @@ __libm_error_region:
 { .mmi
         stfs [GR_Parameter_Y] = FR_Y,16         // Save Parameter 2 on stack
         add GR_Parameter_X = 16,sp              // Parameter 1 address
-.save   b0, GR_SAVE_B0                      
-        mov GR_SAVE_B0=b0                       // Save b0 
+.save   b0, GR_SAVE_B0
+        mov GR_SAVE_B0=b0                       // Save b0
 };;
 .body
 { .mib
-        stfs [GR_Parameter_X] = FR_X            // Store Parameter 1 on stack 
-        add   GR_Parameter_RESULT = 0,GR_Parameter_Y  
-	nop.b 0                                 // Parameter 3 address
+        stfs [GR_Parameter_X] = FR_X            // Store Parameter 1 on stack
+        add   GR_Parameter_RESULT = 0,GR_Parameter_Y
+    nop.b 0                                 // Parameter 3 address
 }
 { .mib
         stfs [GR_Parameter_Y] = FR_RESULT      // Store Parameter 3 on stack
-        add   GR_Parameter_Y = -16,GR_Parameter_Y  
+        add   GR_Parameter_Y = -16,GR_Parameter_Y
         br.call.sptk b0=__libm_error_support#;;  // Call error handling function
 }
 { .mmi
@@ -556,13 +557,14 @@ __libm_error_region:
         mov   b0 = GR_SAVE_B0                  // Restore return address
 };;
 { .mib
-        mov   gp = GR_SAVE_GP                  // Restore gp 
+        mov   gp = GR_SAVE_GP                  // Restore gp
         mov   ar.pfs = GR_SAVE_PFS             // Restore ar.pfs
         br.ret.sptk     b0                     // Return
-};; 
+};;
 
-.endp __libm_error_region
-ASM_SIZE_DIRECTIVE(__libm_error_region)
+LOCAL_LIBM_END(__libm_error_region)
 
 .type   __libm_error_support#,@function
 .global __libm_error_support#
+
+
diff --git a/sysdeps/ia64/fpu/e_fmodl.S b/sysdeps/ia64/fpu/e_fmodl.S
index 85c9f6ef82..da08ae3f5c 100644
--- a/sysdeps/ia64/fpu/e_fmodl.S
+++ b/sysdeps/ia64/fpu/e_fmodl.S
@@ -1,11 +1,10 @@
 .file "fmodl.s"
 
-// Copyright (C) 2000, 2001, Intel Corporation
+
+// Copyright (c) 2000 - 2003, Intel Corporation
 // All rights reserved.
 //
-// Contributed 2/2/2000 by John Harrison, Cristina Iordache, Ted Kubaska,
-// Bob Norin, Shane Story, and Ping Tak Peter Tang of the Computational
-// Software Lab, Intel Corporation.
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
 //
 // Redistribution and use in source and binary forms, with or without
 // modification, are permitted provided that the following conditions are
@@ -21,7 +20,7 @@
 // * The name of Intel Corporation may not be used to endorse or promote
 // products derived from this software without specific prior written
 // permission.
-//
+
 // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
 // "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
@@ -36,38 +35,42 @@
 //
 // Intel Corporation is the author of this code, and requests that all
 // problem reports or change requests be submitted to it directly at
-// http://developer.intel.com/opensource.
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
 //
 // History
 //====================================================================
-// 2/02/00  Initial version
-// 3/02/00  New Algorithm
-// 4/04/00  Unwind support added
-// 8/15/00  Bundle added after call to __libm_error_support to properly
+// 02/02/00 Initial version
+// 03/02/00 New Algorithm
+// 04/04/00 Unwind support added
+// 08/15/00 Bundle added after call to __libm_error_support to properly
 //          set [the previously overwritten] GR_Parameter_RESULT.
-//11/28/00  Set FR_Y to f9
+// 11/28/00 Set FR_Y to f9
+// 03/11/02 Fixed flags for fmodl(qnan,zero)
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 02/10/03 Reordered header: .section, .global, .proc, .align
+// 04/28/03 Fix: fmod(sNaN,0) no longer sets errno
 //
 // API
 //====================================================================
-// long double fmodl(long double,long double);   
+// long double fmodl(long double,long double);
 //
 // Overview of operation
 //====================================================================
 //  fmod(a,b)=a-i*b,
-//  where i is an integer such that, if b!=0, 
+//  where i is an integer such that, if b!=0,
 //  |i|<|a/b| and |a/b-i|<1
 //
 // Algorithm
 //====================================================================
 // a). if |a|<|b|, return a
-// b). get quotient and reciprocal overestimates accurate to 
+// b). get quotient and reciprocal overestimates accurate to
 //     33 bits (q2,y2)
 // c). if the exponent difference (exponent(a)-exponent(b))
 //     is less than 32, truncate quotient to integer and
 //     finish in one iteration
 // d). if exponent(a)-exponent(b)>=32 (q2>=2^32)
 //     round quotient estimate to single precision (k=RN(q2)),
-//     calculate partial remainder (a'=a-k*b), 
+//     calculate partial remainder (a'=a-k*b),
 //     get quotient estimate (a'*y2), and repeat from c).
 //
 // Registers used
@@ -76,13 +79,9 @@
 // General registers:   r2,r29,r32 (ar.pfs), r33-r39
 // Floating point registers: f6-f15
 
-#include "libm_support.h"
-
-.section .text
-
 GR_SAVE_B0                    = r33
 GR_SAVE_PFS                   = r34
-GR_SAVE_GP                    = r35 
+GR_SAVE_GP                    = r35
 GR_SAVE_SP                    = r36
 
 GR_Parameter_X                = r37
@@ -95,18 +94,9 @@ FR_Y             = f9
 FR_RESULT        = f8
 
 
+.section .text
+GLOBAL_IEEE754_ENTRY(fmodl)
 
-.proc fmodl#
-.align 32
-.global fmodl#
-.align 32
-
-fmodl:
-#ifdef _LIBC
-.global __ieee754_fmodl
-.type __ieee754_fmodl,@function
-__ieee754_fmodl:
-#endif
 // inputs in f8, f9
 // result in f8
 
@@ -128,7 +118,7 @@ __ieee754_fmodl:
   // (1) y0
   frcpa.s1 f10,p6=f6,f7
   nop.i 0;;
-} 
+}
 
 // eliminate special cases
 {.mmi
@@ -141,7 +131,7 @@ cmp.eq p7,p10=r29,r0;;
 // Y +-NAN, +-inf, +-0?     p7
 { .mfi
       nop.m 999
-(p10)  fclass.m  p7,p10 = f9, 0xe7           
+(p10)  fclass.m  p7,p10 = f9, 0xe7
       nop.i 999;;
 }
 
@@ -152,14 +142,14 @@ cmp.eq p7,p10=r29,r0;;
 
 { .mfi
       nop.m 999
-(p0)  fclass.m.unc  p9,p11 = f8, 0xe3           
-      nop.i 999 
+      fclass.m.unc  p9,p11 = f8, 0xe3
+      nop.i 999
 }
 
 // |x| < |y|? Return x p8
 { .mfi
       nop.m 999
-(p10)  fcmp.lt.unc.s1 p8,p0 = f6,f7             
+(p10)  fcmp.lt.unc.s1 p8,p0 = f6,f7
       nop.i 999 ;;
 }
 
@@ -173,13 +163,13 @@ cmp.eq p7,p10=r29,r0;;
   // (3) e0 = 1 - b * y0
   (p6) fnma.s1 f12=f7,f10,f1
   nop.i 0;;
-} 
+}
 
 // Y +-NAN, +-inf, +-0?     p7
 { .mfi
       nop.m 999
-	  // pseudo-NaN ?
-(p10)  fclass.nm  p7,p0 = f9, 0xff           
+      // pseudo-NaN ?
+(p10)  fclass.nm  p7,p0 = f9, 0xff
       nop.i 999
 }
 
@@ -190,7 +180,7 @@ cmp.eq p7,p10=r29,r0;;
 
 { .mfi
       nop.m 999
-(p11)  fclass.nm  p9,p0 = f8, 0xff          
+(p11)  fclass.nm  p9,p0 = f8, 0xff
       nop.i 999;;
 }
 
@@ -209,18 +199,18 @@ cmp.eq p7,p10=r29,r0;;
   nop.i 0
 }
 {.bbb
-  (p9) br.cond.spnt L(FMOD_X_NAN_INF)
-  (p7) br.cond.spnt L(FMOD_Y_NAN_INF_ZERO)
+  (p9) br.cond.spnt FMOD_X_NAN_INF
+  (p7) br.cond.spnt FMOD_Y_NAN_INF_ZERO
   // if |x|<|y|, return
   (p8) br.ret.spnt    b0;;
 }
 
-  {.mfi 
+  {.mfi
   nop.m 0
   // x denormal ? set D flag
   fnma.s0 f32=f6,f1,f6
   nop.i 0
-} 
+}
 {.mfi
   nop.m 0
   // y denormal ? set D flag
@@ -234,46 +224,46 @@ cmp.eq p7,p10=r29,r0;;
   // (4) q1=q0+e0*q0
   (p6) fma.s1 f13=f12,f13,f13
   nop.i 0
-} 
+}
 { .mfi
   nop.m 0
   // (5) e1 = e0 * e0 + 2^-34
   (p6) fma.s1 f14=f12,f12,f11
   nop.i 0;;
-} 
+}
 {.mlx
   nop.m 0
   movl r2=0x33a00000;;
-} 
+}
 { .mfi
   nop.m 0
   // (6) y1 = y0 + e0 * y0
   (p6) fma.s1 f10=f12,f10,f10
   nop.i 0;;
-} 
+}
 {.mfi
   // set f12=1.25*2^{-24}
   setf.s f12=r2
   // (7) q2=q1+e1*q1
   (p6) fma.s1 f13=f13,f14,f13
   nop.i 0;;
-} 
+}
 {.mfi
   nop.m 0
   fmerge.s f9=f8,f9
   nop.i 0
-} 
+}
 { .mfi
   nop.m 0
   // (8) y2 = y1 + e1 * y1
   (p6) fma.s1 f10=f14,f10,f10
   // set p6=0, p10=0
   cmp.ne.and p6,p10=r0,r0;;
-} 
+}
 
 
 .align 32
-L(loop64):
+loop64:
   {.mfi
   nop.m 0
   // compare q2, 2^32
@@ -305,7 +295,7 @@ L(loop64):
   // normalize truncated quotient
   (p8) fcvt.xf f13=f11
   nop.i 0;;
-}  
+}
   { .mfi
   nop.m 0
   // calculate remainder (assuming f13=RZ(Q))
@@ -314,7 +304,7 @@ L(loop64):
 }
   {.mfi
   nop.m 0
-  // also if exponent>32, round quotient to single precision 
+  // also if exponent>32, round quotient to single precision
   // and subtract 1 ulp: q=q-q*(1.25*2^{-24})
   (p7) fnma.s.s1 f11=f13,f12,f13
   nop.i 0;;
@@ -357,7 +347,7 @@ L(loop64):
 .pred.rel "mutex",p6,p10
   {.mfb
   nop.m 0
-  // add b to estimated remainder (to cover the case when the quotient was overestimated) 
+  // add b to estimated remainder (to cover the case when the quotient was overestimated)
   // also set correct sign by using f9=|b|*sgn(a), f12=sgn(a)
   (p6) fma.s0 f8=f11,f12,f9
   nop.b 0
@@ -378,43 +368,59 @@ L(loop64):
   nop.m 0
   // if f14 was RZ(Q), set remainder to f14
   (p9) mov f6=f14
-  br.cond.sptk L(loop64);;
+  br.cond.sptk loop64;;
 }
 
 
 
-L(FMOD_X_NAN_INF): 
+FMOD_X_NAN_INF:
 
 // Y zero ?
-{.mfi 
+{.mfi
+  nop.m 0
+  fclass.m p10,p0=f8,0xc3     // Test x=nan
+  nop.i 0
+}
+{.mfi
   nop.m 0
   fma.s1 f10=f9,f1,f0
   nop.i 0;;
 }
+
+{.mfi
+  nop.m 0
+  fma.s0 f8=f8,f1,f0
+  nop.i 0
+}
 {.mfi
+  nop.m 0
+(p10) fclass.m p10,p0=f9,0x07 // Test x=nan, and y=zero
+  nop.i 0;;
+}
+{.mfb
  nop.m 0
  fcmp.eq.unc.s1 p11,p0=f10,f0
- nop.i 0;;
+(p10) br.ret.spnt b0;;        // Exit with result=x if x=nan and y=zero
 }
 {.mib
   nop.m 0
   nop.i 0
   // if Y zero
-  (p11) br.cond.spnt L(FMOD_Y_ZERO);;                        
+  (p11) br.cond.spnt FMOD_Y_ZERO;;
 }
 
 // X infinity? Return QNAN indefinite
 { .mfi
-	 // set p7 t0 0
-	 cmp.ne p7,p0=r0,r0
-(p0) fclass.m.unc  p8,p9 = f8, 0x23 
-     nop.i 999;; 
+     // set p7 t0 0
+     cmp.ne p7,p0=r0,r0
+     fclass.m.unc  p8,p9 = f8, 0x23
+     nop.i 999;;
 }
 // Y NaN ?
 {.mfi
      nop.m 999
 (p8) fclass.m p9,p8=f9,0xc3
-	 nop.i 0;;
+     nop.i 0;;
 }
 // Y not pseudo-zero ? (r29 holds significand)
 {.mii
@@ -423,63 +429,63 @@ L(FMOD_X_NAN_INF):
      nop.i 0;;
 }
 {.mfi
-	nop.m 999
-(p8)  frcpa.s0 f8,p0 = f8,f8           
+    nop.m 999
+(p8)  frcpa.s0 f8,p0 = f8,f8
     nop.i 0
-} 
+}
 { .mfi
      nop.m 999
-	// also set Denormal flag if necessary
+    // also set Denormal flag if necessary
 (p7) fnma.s0 f9=f9,f1,f9
      nop.i 999 ;;
 }
 
 { .mfb
       nop.m 999
-(p8)  fma.s0 f8=f8,f1,f0                     
-	  nop.b 999 ;;                        
+(p8)  fma.s0 f8=f8,f1,f0
+      nop.b 999 ;;
 }
 
 { .mfb
       nop.m 999
-(p9)  frcpa.s0 f8,p7=f8,f9                     
-      br.ret.sptk    b0 ;;                        
+(p9)  frcpa.s0 f8,p7=f8,f9
+      br.ret.sptk    b0 ;;
 }
 
 
-L(FMOD_Y_NAN_INF_ZERO): 
+FMOD_Y_NAN_INF_ZERO:
 // Y INF
 { .mfi
       nop.m 999
-(p0)  fclass.m.unc  p7,p0 = f9, 0x23           
+      fclass.m.unc  p7,p0 = f9, 0x23
       nop.i 999 ;;
 }
 
 { .mfb
       nop.m 999
-(p7)  fma f8=f8,f1,f0                     
-(p7)  br.ret.spnt    b0 ;;                        
+(p7)  fma.s0 f8=f8,f1,f0
+(p7)  br.ret.spnt    b0 ;;
 }
 
 // Y NAN?
 { .mfi
       nop.m 999
-(p0)  fclass.m.unc  p9,p10 = f9, 0xc3           
+      fclass.m.unc  p9,p10 = f9, 0xc3
       nop.i 999 ;;
 }
 { .mfi
       nop.m 999
-(p10)  fclass.nm  p9,p0 = f9, 0xff           
+(p10)  fclass.nm  p9,p0 = f9, 0xff
       nop.i 999 ;;
 }
 
 { .mfb
       nop.m 999
-(p9)  fma f8=f9,f1,f0                     
-(p9)  br.ret.spnt    b0 ;;                        
+(p9)  fma.s0 f8=f9,f1,f0
+(p9)  br.ret.spnt    b0 ;;
 }
 
-L(FMOD_Y_ZERO):
+FMOD_Y_ZERO:
 // Y zero? Must be zero at this point
 // because it is the only choice left.
 // Return QNAN indefinite
@@ -487,62 +493,59 @@ L(FMOD_Y_ZERO):
 {.mfi
   nop.m 0
   // set Invalid
-  frcpa f12,p0=f0,f0
+  frcpa.s0 f12,p0=f0,f0
   nop.i 0
 }
 // X NAN?
 { .mfi
       nop.m 999
-(p0)  fclass.m.unc  p9,p10 = f8, 0xc3           
+      fclass.m.unc  p9,p10 = f8, 0xc3
       nop.i 999 ;;
 }
 { .mfi
       nop.m 999
-(p10)  fclass.nm  p9,p10 = f8, 0xff           
+(p10)  fclass.nm  p9,p10 = f8, 0xff
       nop.i 999 ;;
 }
 
 {.mfi
  nop.m 999
- (p9) frcpa f11,p7=f8,f0
+ (p9) frcpa.s0 f11,p7=f8,f0
  nop.i 0;;
 }
 
 
 { .mfi
       nop.m 999
-(p10) frcpa  f11,p7 = f9,f9           
-(p0)  mov    GR_Parameter_TAG = 120 ;;                                 
+(p10) frcpa.s0  f11,p7 = f9,f9
+      mov    GR_Parameter_TAG = 120 ;;
 }
 
 { .mfi
       nop.m 999
-(p0)  fmerge.s      f10 = f8, f8             
+      fmerge.s      f10 = f8, f8
       nop.i 999
 }
 
 { .mfb
       nop.m 999
-(p0)  fma f8=f11,f1,f0                     
-(p0)  br.sptk __libm_error_region;; 
+      fma.s0 f8=f11,f1,f0
+      br.sptk __libm_error_region;;
 }
 
-.endp fmodl
-ASM_SIZE_DIRECTIVE(fmodl)
-ASM_SIZE_DIRECTIVE(__ieee754_fmodl)
+GLOBAL_IEEE754_END(fmodl)
 
 
-.proc __libm_error_region
-__libm_error_region:
+LOCAL_LIBM_ENTRY(__libm_error_region)
 .prologue
 { .mfi
         add   GR_Parameter_Y=-32,sp             // Parameter 2 value
         nop.f 0
 .save   ar.pfs,GR_SAVE_PFS
-        mov  GR_SAVE_PFS=ar.pfs                 // Save ar.pfs 
+        mov  GR_SAVE_PFS=ar.pfs                 // Save ar.pfs
 }
 { .mfi
-.fframe 64 
+.fframe 64
         add sp=-64,sp                           // Create new stack
         nop.f 0
         mov GR_SAVE_GP=gp                       // Save gp
@@ -550,18 +553,18 @@ __libm_error_region:
 { .mmi
         stfe [GR_Parameter_Y] = FR_Y,16         // Save Parameter 2 on stack
         add GR_Parameter_X = 16,sp              // Parameter 1 address
-.save   b0, GR_SAVE_B0                      
-        mov GR_SAVE_B0=b0                       // Save b0 
+.save   b0, GR_SAVE_B0
+        mov GR_SAVE_B0=b0                       // Save b0
 };;
 .body
 { .mib
-        stfe [GR_Parameter_X] = FR_X            // Store Parameter 1 on stack 
-        add   GR_Parameter_RESULT = 0,GR_Parameter_Y  
-	nop.b 0                                 // Parameter 3 address
+        stfe [GR_Parameter_X] = FR_X            // Store Parameter 1 on stack
+        add   GR_Parameter_RESULT = 0,GR_Parameter_Y
+    nop.b 0                                 // Parameter 3 address
 }
 { .mib
         stfe [GR_Parameter_Y] = FR_RESULT      // Store Parameter 3 on stack
-        add   GR_Parameter_Y = -16,GR_Parameter_Y  
+        add   GR_Parameter_Y = -16,GR_Parameter_Y
         br.call.sptk b0=__libm_error_support#  // Call error handling function
 };;
 { .mmi
@@ -576,15 +579,17 @@ __libm_error_region:
         mov   b0 = GR_SAVE_B0                  // Restore return address
 };;
 { .mib
-        mov   gp = GR_SAVE_GP                  // Restore gp 
+        mov   gp = GR_SAVE_GP                  // Restore gp
         mov   ar.pfs = GR_SAVE_PFS             // Restore ar.pfs
         br.ret.sptk     b0                     // Return
-};; 
+};;
+
+LOCAL_LIBM_END(__libm_error_region)
 
-.endp __libm_error_region
-ASM_SIZE_DIRECTIVE(__libm_error_region)
 
 
 
 .type   __libm_error_support#,@function
 .global __libm_error_support#
+
+
diff --git a/sysdeps/ia64/fpu/e_gamma_r.c b/sysdeps/ia64/fpu/e_gamma_r.c
new file mode 100644
index 0000000000..41254ae60a
--- /dev/null
+++ b/sysdeps/ia64/fpu/e_gamma_r.c
@@ -0,0 +1 @@
+/* Not needed. */
diff --git a/sysdeps/ia64/fpu/e_gammaf_r.c b/sysdeps/ia64/fpu/e_gammaf_r.c
new file mode 100644
index 0000000000..41254ae60a
--- /dev/null
+++ b/sysdeps/ia64/fpu/e_gammaf_r.c
@@ -0,0 +1 @@
+/* Not needed. */
diff --git a/sysdeps/ia64/fpu/e_gammal_r.c b/sysdeps/ia64/fpu/e_gammal_r.c
new file mode 100644
index 0000000000..41254ae60a
--- /dev/null
+++ b/sysdeps/ia64/fpu/e_gammal_r.c
@@ -0,0 +1 @@
+/* Not needed. */
diff --git a/sysdeps/ia64/fpu/e_hypot.S b/sysdeps/ia64/fpu/e_hypot.S
index 113aac3461..885c819326 100644
--- a/sysdeps/ia64/fpu/e_hypot.S
+++ b/sysdeps/ia64/fpu/e_hypot.S
@@ -1,11 +1,10 @@
-.file "hypot.asm"
+.file "hypot.s"
 
-// Copyright (C) 2000, 2001, Intel Corporation
+
+// Copyright (c) 2000 - 2003, Intel Corporation
 // All rights reserved.
-// 
-// Contributed 2/2/2000 by John Harrison, Cristina Iordache, Ted Kubaska, 
-// Bob Norin, Shane Story, and Ping Tak Peter Tang of the 
-// Computational Software Lab, Intel Corporation.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
 //
 // Redistribution and use in source and binary forms, with or without
 // modification, are permitted provided that the following conditions are
@@ -21,7 +20,7 @@
 // * The name of Intel Corporation may not be used to endorse or promote
 // products derived from this software without specific prior written
 // permission.
-//
+
 // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
 // "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
@@ -36,24 +35,27 @@
 // 
 // Intel Corporation is the author of this code, and requests that all
 // problem reports or change requests be submitted to it directly at 
-// http://developer.intel.com/opensource.
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
 //
-// *********************************************************************
+//*********************************************************************
 //
 // History: 
-// 2/02/00  hand-optimized
-// 4/04/00  Unwind support added
-// 6/20/00  new version
-// 8/15/00  Bundle added after call to __libm_error_support to properly
+// 02/02/00 hand-optimized
+// 04/04/00 Unwind support added
+// 06/20/00 new version
+// 08/15/00 Bundle added after call to __libm_error_support to properly
 //          set [the previously overwritten] GR_Parameter_RESULT.
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 02/10/03 Reordered header: .section, .global, .proc, .align
+// 04/17/03 Added missing mutex directive
 //
-// *********************************************************************
+//*********************************************************************
 //                           ___________
 // Function:   hypot(x,y) = |(x^2 + y^2) = for double precision values
 //             x and y
 //             Also provides cabs functionality.
 //
-// *********************************************************************
+//*********************************************************************
 //
 // Resources Used:
 //
@@ -68,7 +70,7 @@
 //
 //    Predicate Registers:      p6 - p10
 //
-// *********************************************************************
+//*********************************************************************
 //
 // IEEE Special Conditions:
 //
@@ -78,7 +80,7 @@
 //    hypot(QNaN and anything) = QNaN
 //    hypot(SNaN and anything ) = QNaN
 //
-// *********************************************************************
+//*********************************************************************
 //
 // Implementation:
 //  x2 = x * x   in double-extended
@@ -86,9 +88,7 @@
 //  temp = x2 + y2   in double-extended
 //  sqrt(temp) rounded to double 
 //
-// *********************************************************************
-
-#include "libm_support.h"
+//*********************************************************************
 
 GR_SAVE_PFS         = r33
 GR_SAVE_B0          = r34
@@ -103,23 +103,11 @@ FR_Y                = f33
 FR_RESULT           = f8
 
 .section .text
-#ifndef _LIBC
-.proc cabs#
-.global cabs#
-cabs: 
-.endp cabs
-#endif
-.proc hypot#
-.global hypot#
-.align 64 
 
-hypot:
-#ifdef _LIBC
-.global __hypot
-__hypot:
-.global __ieee754_hypot
-__ieee754_hypot:
-#endif 
+LOCAL_LIBM_ENTRY(cabs)
+LOCAL_LIBM_END(cabs)
+GLOBAL_IEEE754_ENTRY(hypot)
+
 {.mfi
   alloc r32= ar.pfs,0,4,4,0
   // Compute x*x
@@ -221,6 +209,7 @@ __ieee754_hypot:
   mov r2=0x107fb;;
 }
 
+.pred.rel "mutex",p7,p8
 {.mfb
   nop.m 0
   // if f8=Infinity or f9=Zero, return |f8|
@@ -394,11 +383,8 @@ __ieee754_hypot:
 	 // No overflow
 (p9) br.ret.sptk b0;; 
 }
-.endp hypot
-ASM_SIZE_DIRECTIVE(hypot)
-
-.proc __libm_error_region
-__libm_error_region:
+GLOBAL_IEEE754_END(hypot)
+LOCAL_LIBM_ENTRY(__libm_error_region)
 .prologue
 { .mfi
         add   GR_Parameter_Y=-32,sp             // Parameter 2 value
@@ -445,7 +431,8 @@ __libm_error_region:
         mov   ar.pfs = GR_SAVE_PFS             // Restore ar.pfs
         br.ret.sptk     b0                     // Return
 };;
-.endp __libm_error_region
-ASM_SIZE_DIRECTIVE(__libm_error_region) 
+LOCAL_LIBM_END(__libm_error_region#)
 .type   __libm_error_support#,@function
 .global __libm_error_support#
+
+
diff --git a/sysdeps/ia64/fpu/e_hypotf.S b/sysdeps/ia64/fpu/e_hypotf.S
index 0a11ec5b41..633bb67e59 100644
--- a/sysdeps/ia64/fpu/e_hypotf.S
+++ b/sysdeps/ia64/fpu/e_hypotf.S
@@ -1,11 +1,10 @@
-.file "hypotf.asm"
+.file "hypotf.s"
 
-// Copyright (C) 2000, 2001, Intel Corporation
+
+// Copyright (c) 2000 - 2003, Intel Corporation
 // All rights reserved.
-// 
-// Contributed 2/2/2000 by John Harrison, Cristina Iordache, Ted Kubaska, 
-// Bob Norin, Shane Story, and Ping Tak Peter Tang of the 
-// Computational Software Lab, Intel Corporation.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
 //
 // Redistribution and use in source and binary forms, with or without
 // modification, are permitted provided that the following conditions are
@@ -21,7 +20,7 @@
 // * The name of Intel Corporation may not be used to endorse or promote
 // products derived from this software without specific prior written
 // permission.
-//
+
 // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
 // "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
@@ -36,24 +35,27 @@
 // 
 // Intel Corporation is the author of this code, and requests that all
 // problem reports or change requests be submitted to it directly at 
-// http://developer.intel.com/opensource.
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
 //
-// *********************************************************************
+//*********************************************************************
 //
 // History: 
-// 2/02/00  hand-optimized
-// 4/04/00  Unwind support added
-// 6/26/00  new version
-// 8/15/00  Bundle added after call to __libm_error_support to properly
+// 02/02/00 hand-optimized
+// 04/04/00 Unwind support added
+// 06/26/00 new version
+// 08/15/00 Bundle added after call to __libm_error_support to properly
 //          set [the previously overwritten] GR_Parameter_RESULT.
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 02/10/03 Reordered header: .section, .global, .proc, .align
+// 04/17/03 Added missing mutex directive
 //
-// *********************************************************************
+//*********************************************************************
 //                           ___________
 // Function:   hypotf(x,y) = |(x^2 + y^2) = for single precision values
 //             x and y
 //             Also provides cabsf functionality.
 //
-// *********************************************************************
+//*********************************************************************
 //
 // Resources Used:
 //
@@ -68,7 +70,7 @@
 //
 //    Predicate Registers:      p6 - p10
 //
-// *********************************************************************
+//*********************************************************************
 //
 // IEEE Special Conditions:
 //
@@ -78,7 +80,7 @@
 //    hypotf(QNaN and anything) = QNaN
 //    hypotf(SNaN and anything ) = QNaN
 //
-// *********************************************************************
+//*********************************************************************
 //
 // Implementation:
 //  x2 = x * x   in double-extended
@@ -86,9 +88,7 @@
 //  temp = x2 + y2   in double-extended
 //  sqrt(temp) rounded to single precision 
 //
-// *********************************************************************
-
-#include "libm_support.h"
+//*********************************************************************
 
 GR_SAVE_PFS         = r33
 GR_SAVE_B0          = r34
@@ -103,23 +103,10 @@ FR_Y                = f15
 FR_RESULT           = f8
 
 .section .text
-#ifndef _LIBC
-.proc cabsf#
-.global cabsf#
-cabsf: 
-.endp cabsf
-#endif
-.proc hypotf#
-.global hypotf#
-.align 64 
 
-hypotf: 
-#ifdef _LIBC
-.global __hypotf
-__hypotf:
-.global __ieee754_hypotf
-__ieee754_hypotf:
-#endif 
+LOCAL_LIBM_ENTRY(cabsf)
+LOCAL_LIBM_END(cabsf)
+GLOBAL_IEEE754_ENTRY(hypotf)
 {.mfi
   alloc r32= ar.pfs,0,4,4,0
   // Compute x*x
@@ -207,6 +194,7 @@ __ieee754_hypotf:
   nop.i 0;;
 }
 
+.pred.rel "mutex",p7,p8
 {.mfb
   nop.m 0
   // if f8=Infinity or f9=Zero, return |f8|
@@ -348,15 +336,12 @@ __ieee754_hypotf:
 	 // No overflow
 (p9) br.ret.sptk b0;; 
 }
-.endp hypotf
-ASM_SIZE_DIRECTIVE(hypotf)
-
-.proc __libm_error_region
-__libm_error_region:
+GLOBAL_IEEE754_END(hypotf)
+LOCAL_LIBM_ENTRY(__libm_error_region)
 .prologue
 { .mii
         add   GR_Parameter_Y=-32,sp             // Parameter 2 value
-(p0)    mov   GR_Parameter_TAG = 47                   
+        mov   GR_Parameter_TAG = 47                   
 .save   ar.pfs,GR_SAVE_PFS
         mov  GR_SAVE_PFS=ar.pfs                 // Save ar.pfs
 }
@@ -400,8 +385,9 @@ __libm_error_region:
         br.ret.sptk     b0                     // Return
 };; 
 
-.endp __libm_error_region
-ASM_SIZE_DIRECTIVE(__libm_error_region)
+LOCAL_LIBM_END(__libm_error_region)
+
 
 .type   __libm_error_support#,@function
 .global __libm_error_support#
+
diff --git a/sysdeps/ia64/fpu/e_hypotl.S b/sysdeps/ia64/fpu/e_hypotl.S
index 986faf6fcc..0aa94b69b8 100644
--- a/sysdeps/ia64/fpu/e_hypotl.S
+++ b/sysdeps/ia64/fpu/e_hypotl.S
@@ -1,11 +1,10 @@
-.file "hypotl.asm"
+.file "hypotl.s"
 
-// Copyright (C) 2000, 2001, Intel Corporation
+
+// Copyright (c) 2000 - 2003, Intel Corporation
 // All rights reserved.
-// 
-// Contributed 2/2/2000 by John Harrison, Cristina Iordache, Ted Kubaska, 
-// Bob Norin, Shane Story, and Ping Tak Peter Tang of the 
-// Computational Software Lab, Intel Corporation.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
 //
 // Redistribution and use in source and binary forms, with or without
 // modification, are permitted provided that the following conditions are
@@ -21,7 +20,7 @@
 // * The name of Intel Corporation may not be used to endorse or promote
 // products derived from this software without specific prior written
 // permission.
-//
+
 // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
 // "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
@@ -36,24 +35,26 @@
 // 
 // Intel Corporation is the author of this code, and requests that all
 // problem reports or change requests be submitted to it directly at 
-// http://developer.intel.com/opensource.
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
 //
-// *********************************************************************
+//*********************************************************************
 //
 // History: 
-// 2/02/00  hand-optimized
-// 4/04/00  Unwind support added
-// 6/20/00  new version
-// 8/15/00  Bundle added after call to __libm_error_support to properly
+// 02/02/00 hand-optimized
+// 04/04/00 Unwind support added
+// 06/20/00 new version
+// 08/15/00 Bundle added after call to __libm_error_support to properly
 //          set [the previously overwritten] GR_Parameter_RESULT.
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 02/10/03 Reordered header: .section, .global, .proc, .align
 //
-// *********************************************************************
+//*********************************************************************
 //                           ___________
 // Function:   hypotl(x,y) = |(x^2 + y^2) = for double extended values
 //             x and y
 //             Also provides cabsl functionality.
 //
-// *********************************************************************
+//*********************************************************************
 //
 // Resources Used:
 //
@@ -68,7 +69,7 @@
 //
 //    Predicate Registers:      p6 - p10
 //
-// *********************************************************************
+//*********************************************************************
 //
 // IEEE Special Conditions:
 //
@@ -78,7 +79,7 @@
 //    hypotl(QNaN and anything) = QNaN
 //    hypotl(SNaN and anything ) = QNaN
 //
-// *********************************************************************
+//*********************************************************************
 //
 // Implementation:
 //  x2 = x * x   in double-extended
@@ -86,9 +87,7 @@
 //  temp = x2 + y2   in double-extended
 //  sqrt(temp) rounded to double extended
 //
-// *********************************************************************
-
-#include "libm_support.h"
+//*********************************************************************
 
 GR_SAVE_PFS         = r33
 GR_SAVE_B0          = r34
@@ -103,23 +102,10 @@ FR_Y                = f33
 FR_RESULT           = f8
 
 .section .text
-#ifndef _LIBC
-.proc cabsl#
-.global cabsl#
-cabsl: 
-.endp cabsl
-#endif
-.proc hypotl#
-.global hypotl#
-.align 64 
 
-hypotl: 
-#ifdef _LIBC
-.global __hypotl
-__hypotl:
-.global __ieee754_hypotl
-__ieee754_hypotl:
-#endif 
+LOCAL_LIBM_ENTRY(cabsl)
+LOCAL_LIBM_END(cabsl)
+GLOBAL_IEEE754_ENTRY(hypotl)
 {.mfi
   alloc r32= ar.pfs,0,4,4,0
   // Compute x*x
@@ -434,11 +420,8 @@ __ieee754_hypotl:
 	 // No overflow
 (p9) br.ret.sptk b0;; 
 }
-.endp hypotl
-ASM_SIZE_DIRECTIVE(hypotl)
-
-.proc __libm_error_region
-__libm_error_region:
+GLOBAL_IEEE754_END(hypotl)
+LOCAL_LIBM_ENTRY(__libm_error_region)
 .prologue
 { .mfi
         add   GR_Parameter_Y=-32,sp             // Parameter 2 value
@@ -485,7 +468,9 @@ __libm_error_region:
         mov   ar.pfs = GR_SAVE_PFS             // Restore ar.pfs
         br.ret.sptk     b0                     // Return
 };;
-.endp __libm_error_region
-ASM_SIZE_DIRECTIVE(__libm_error_region) 
+LOCAL_LIBM_END(__libm_error_region#)
 .type   __libm_error_support#,@function
 .global __libm_error_support#
+
+
+
diff --git a/sysdeps/ia64/fpu/e_lgamma_r.c b/sysdeps/ia64/fpu/e_lgamma_r.c
new file mode 100644
index 0000000000..e892635eae
--- /dev/null
+++ b/sysdeps/ia64/fpu/e_lgamma_r.c
@@ -0,0 +1,71 @@
+/* file: lgamma_r.c */
+
+// Copyright (c) 2002 Intel Corporation
+// All rights reserved.
+//
+// Contributed 2002 by the Intel Numerics Group, Intel Corporation
+//
+// Redistribution and use in source and binary forms, with or without
+// modification, are permitted provided that the following conditions are
+// met:
+//
+// * Redistributions of source code must retain the above copyright
+// notice, this list of conditions and the following disclaimer.
+//
+// * Redistributions in binary form must reproduce the above copyright
+// notice, this list of conditions and the following disclaimer in the
+// documentation and/or other materials provided with the distribution.
+//
+// * The name of Intel Corporation may not be used to endorse or promote
+// products derived from this software without specific prior written
+// permission.
+
+// WARRANTY DISCLAIMER
+//
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
+// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
+// OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+//
+// Intel Corporation is the author of this code, and requests that all
+// problem reports or change requests be submitted to it directly at
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
+//
+//
+
+// History
+//==============================================================
+// 02/04/02: Initial version
+// 02/22/02: Removed lgammaf_r, gammaf_r
+/*
+//   FUNCTIONS:    double  lgamma_r(double x, int* signgam)
+//                 double  gamma_r(double x, int* signgam)
+//                 Natural logarithm of GAMMA function
+*/
+
+#include "libm_support.h"
+
+
+extern double __libm_lgamma(double /*x*/, int* /*signgam*/, int /*signgamsz*/);
+
+
+double __ieee754_lgamma_r(double x, int* signgam)
+{
+    return __libm_lgamma(x, signgam, sizeof(*signgam));
+}
+weak_alias(__ieee754_lgamma_r, lgamma_r)
+
+#ifndef _LIBC
+double __ieee754_gamma_r(double x, int* signgam)
+{
+    return __libm_lgamma(x, signgam, sizeof(*signgam));
+}
+weak_alias(__ieee754_gamma_r, gamma_r)
+#endif
diff --git a/sysdeps/ia64/fpu/e_lgammaf_r.c b/sysdeps/ia64/fpu/e_lgammaf_r.c
new file mode 100644
index 0000000000..e5d4d2e0d8
--- /dev/null
+++ b/sysdeps/ia64/fpu/e_lgammaf_r.c
@@ -0,0 +1,71 @@
+/* file: lgammaf_r.c */
+
+// Copyright (c) 2002 Intel Corporation
+// All rights reserved.
+//
+// Contributed 2002 by the Intel Numerics Group, Intel Corporation
+//
+// Redistribution and use in source and binary forms, with or without
+// modification, are permitted provided that the following conditions are
+// met:
+//
+// * Redistributions of source code must retain the above copyright
+// notice, this list of conditions and the following disclaimer.
+//
+// * Redistributions in binary form must reproduce the above copyright
+// notice, this list of conditions and the following disclaimer in the
+// documentation and/or other materials provided with the distribution.
+//
+// * The name of Intel Corporation may not be used to endorse or promote
+// products derived from this software without specific prior written
+// permission.
+
+// WARRANTY DISCLAIMER
+//
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
+// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
+// OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+//
+// Intel Corporation is the author of this code, and requests that all
+// problem reports or change requests be submitted to it directly at
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
+//
+//
+
+// History
+//==============================================================
+// 02/04/02: Initial version
+// 02/22/02: Removed lgamma_r, gamma_r
+/*
+//   FUNCTIONS:    float   lgammaf_r(float x, int* signgam)
+//                 float   gammaf_r(float x, int* signgam)
+//                 Natural logarithm of GAMMA function
+*/
+
+#include "libm_support.h"
+
+
+extern float  __libm_lgammaf(float /*x*/, int* /*signgam*/, int /*signgamsz*/);
+
+
+float __ieee754_lgammaf_r(float x, int* signgam)
+{
+    return __libm_lgammaf(x, signgam, sizeof(*signgam));
+}
+weak_alias(__ieee754_lgammaf_r, lgammaf_r)
+
+#ifndef _LIBC
+float __ieee754_gammaf_r(float x, int* signgam)
+{
+    return __libm_lgammaf(x, signgam, sizeof(*signgam));
+}
+weak_alias(__ieee754_gammaf_r, gammaf_r)
+#endif
diff --git a/sysdeps/ia64/fpu/e_lgammal_r.c b/sysdeps/ia64/fpu/e_lgammal_r.c
new file mode 100644
index 0000000000..a2b36d6394
--- /dev/null
+++ b/sysdeps/ia64/fpu/e_lgammal_r.c
@@ -0,0 +1,70 @@
+/* file: lgammal_r.c */
+
+// Copyright (c) 2002 Intel Corporation
+// All rights reserved.
+//
+// Contributed 2002 by the Intel Numerics Group, Intel Corporation
+//
+// Redistribution and use in source and binary forms, with or without
+// modification, are permitted provided that the following conditions are
+// met:
+//
+// * Redistributions of source code must retain the above copyright
+// notice, this list of conditions and the following disclaimer.
+//
+// * Redistributions in binary form must reproduce the above copyright
+// notice, this list of conditions and the following disclaimer in the
+// documentation and/or other materials provided with the distribution.
+//
+// * The name of Intel Corporation may not be used to endorse or promote
+// products derived from this software without specific prior written
+// permission.
+
+// WARRANTY DISCLAIMER
+//
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
+// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
+// OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+//
+// Intel Corporation is the author of this code, and requests that all
+// problem reports or change requests be submitted to it directly at
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
+//
+//
+
+// History
+//==============================================================
+// 08/15/02: Initial version
+/*
+//   FUNCTIONS:    long double  lgammal_r(long double x, int* signgam)
+//                 long double  gammal_r(long double x, int* signgam)
+//                 Natural logarithm of GAMMA function
+*/
+
+#include "libm_support.h"
+
+
+extern double __libm_lgammal(long double /*x*/, int* /*signgam*/, int /*signgamsz*/);
+
+
+long double __ieee754_lgammal_r(long double x, int* signgam)
+{
+    return __libm_lgammal(x, signgam, sizeof(*signgam));
+}
+weak_alias(__ieee754_lgammal_r, lgammal_r)
+
+#ifndef _LIBC
+long double __ieee754_gammal_r(long double x, int* signgam)
+{
+    return __libm_lgammal(x, signgam, sizeof(*signgam));
+}
+weak_alias(__ieee754_gammal_r, gammal_r)
+#endif
diff --git a/sysdeps/ia64/fpu/e_log.S b/sysdeps/ia64/fpu/e_log.S
index 9ad1e5fe56..f80f153679 100644
--- a/sysdeps/ia64/fpu/e_log.S
+++ b/sysdeps/ia64/fpu/e_log.S
@@ -1,10 +1,10 @@
 .file "log.s"
 
-// Copyright (C) 2000, 2001, Intel Corporation
+
+// Copyright (c) 2000 - 2002, Intel Corporation
 // All rights reserved.
-// 
-// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story,
-// and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
 //
 // Redistribution and use in source and binary forms, with or without
 // modification, are permitted provided that the following conditions are
@@ -20,1085 +20,1707 @@
 // * The name of Intel Corporation may not be used to endorse or promote
 // products derived from this software without specific prior written
 // permission.
-//
-// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
-// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
-// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS 
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
 // CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
-// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, 
-// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 
-// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY 
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
 // OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
-// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 
-// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 
-// 
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+//
 // Intel Corporation is the author of this code, and requests that all
-// problem reports or change requests be submitted to it directly at 
-// http://developer.intel.com/opensource.
+// problem reports or change requests be submitted to it directly at
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
 //
 // History
 //==============================================================
-// 2/02/00  Initial version
-// 4/04/00  Unwind support added
-// 6/16/00  Updated table to be rounded correctly
-// 8/15/00  Bundle added after call to __libm_error_support to properly
+// 02/02/00 Initial version
+// 04/04/00 Unwind support added
+// 06/16/00 Updated table to be rounded correctly
+// 08/15/00 Bundle added after call to __libm_error_support to properly
 //          set [the previously overwritten] GR_Parameter_RESULT.
-// 8/17/00  Improved speed of main path by 5 cycles
+// 08/17/00 Improved speed of main path by 5 cycles
 //          Shortened path for x=1.0
-// 1/09/01  Improved speed, fixed flags for neg denormals
-//
+// 01/09/01 Improved speed, fixed flags for neg denormals
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 05/23/02 Modified algorithm. Now only one polynomial is used
+//          for |x-1| >= 1/256 and for |x-1| < 1/256
+// 12/11/02 Improved performance for Itanium 2
 //
 // API
 //==============================================================
 // double log(double)
 // double log10(double)
 //
+//
 // Overview of operation
 //==============================================================
 // Background
+// ----------
 //
-// Consider  x = 2^N 1.f1 f2 f3 f4...f63
-// Log(x) = log(frcpa(x) x/frcpa(x))
-//        = log(1/frcpa(x)) + log(frcpa(x) x)
-//        = -log(frcpa(x)) + log(frcpa(x) x)
+// This algorithm is based on fact that
+// log(a b) = log(a) + log(b).
+// In our case we have x = 2^N f, where 1 <= f < 2.
+// So
+//   log(x) = log(2^N f) = log(2^N) + log(f) = n*log(2) + log(f)
 //
-// frcpa(x)       = 2^-N frcpa((1.f1 f2 ... f63)
+// To calculate log(f) we do following
+//   log(f) = log(f * frcpa(f) / frcpa(f)) =
+//          = log(f * frcpa(f)) + log(1/frcpa(f))
 //
-// -log(frcpa(x)) = -log(C) 
-//                = -log(2^-N) - log(frcpa(1.f1 f2 ... f63))
+// According to definition of IA-64's frcpa instruction it's a
+// floating point that approximates 1/f using a lookup on the
+// top of 8 bits of the input number's significand with relative
+// error < 2^(-8.886). So we have following
 //
-// -log(frcpa(x)) = -log(C) 
-//                = +Nlog2 - log(frcpa(1.f1 f2 ... f63))
+// |(1/f - frcpa(f)) / (1/f))| = |1 - f*frcpa(f)| < 1/256
 //
-// -log(frcpa(x)) = -log(C) 
-//                = +Nlog2 + log(frcpa(1.f1 f2 ... f63))
+// and
 //
-// Log(x) = log(1/frcpa(x)) + log(frcpa(x) x)
-
-// Log(x) =  +Nlog2 + log(1./frcpa(1.f1 f2 ... f63)) + log(frcpa(x) x)
-// Log(x) =  +Nlog2 - log(/frcpa(1.f1 f2 ... f63))   + log(frcpa(x) x)
-// Log(x) =  +Nlog2 + T                              + log(frcpa(x) x)
+// log(f) = log(f * frcpa(f)) + log(1/frcpa(f)) =
+//        = log(1 + r) + T
+//
+// The first value can be computed by polynomial P(r) approximating
+// log(1 + r) on |r| < 1/256 and the second is precomputed tabular
+// value defined by top 8 bit of f.
 //
-// Log(x) =  +Nlog2 + T                     + log(C x)
+// Finally we have that  log(x) ~ (N*log(2) + T) + P(r)
 //
-// Cx = 1 + r
+// Note that if input argument is close to 1.0 (in our case it means
+// that |1 - x| < 1/256) we can use just polynomial approximation
+// because x = 2^0 * f = f = 1 + r and
+// log(x) = log(1 + r) ~ P(r)
 //
-// Log(x) =  +Nlog2 + T  + log(1+r)
-// Log(x) =  +Nlog2 + T  + Series( r - r^2/2 + r^3/3 - r^4/4 ....)
 //
-// 1.f1 f2 ... f8 has 256 entries.
-// They are 1 + k/2^8, k = 0 ... 255
-// These 256 values are the table entries.
+// To compute log10(x) we use the simple identity
+//
+//  log10(x) = log(x)/log(10)
+//
+// so we have that
+//
+//  log10(x) = (N*log(2) + T  + log(1+r)) / log(10) =
+//           = N*(log(2)/log(10)) + (T/log(10)) + log(1 + r)/log(10)
+//
 //
 // Implementation
-//===============
-// CASE 1:  |x-1| >= 2^-6
-// C = frcpa(x)
-// r = C * x - 1
+// --------------
+// It can be seen that formulas for log and log10 differ from one another
+// only by coefficients and tabular values. Namely as log as log10 are
+// calculated as (N*L1 + T) + L2*Series(r) where in case of log
+//   L1 = log(2)
+//   T  = log(1/frcpa(x))
+//   L2 = 1.0
+// and in case of log10
+//   L1 = log(2)/log(10)
+//   T  = log(1/frcpa(x))/log(10)
+//   L2 = 1.0/log(10)
 //
-// Form rseries = r + P1*r^2 + P2*r^3 + P3*r^4 + P4*r^5 + P5*r^6
+// So common code with two different entry points those set pointers
+// to the base address of coresponding data sets containing values
+// of L2,T and prepare integer representation of L1 needed for following
+// setf instruction.
 //
-// x = f * 2*n where f is 1.f_1f_2f_3....f_63
-// Nfloat = float(n)  where n is the true unbiased exponent
-// pre-index = f_1f_2....f_8
-// index = pre_index * 16
-// get the dxt table entry at index + offset = T
+// Note that both log and log10 use common approximation polynomial
+// it means we need only one set of coefficients of approximation.
 //
-// result = (T + Nfloat * log(2)) + rseries
 //
-// The T table is calculated as follows
-// Form x_k = 1 + k/2^8 where k goes from 0... 255
-//      y_k = frcpa(x_k)
-//      log(1/y_k)  in quad and round to double-extended
-
-// CASE 2:  |x-1| < 2^-6
-// w = x - 1
+// 1. |x-1| >= 1/256
+//   InvX = frcpa(x)
+//   r = InvX*x - 1
+//   P(r) = r*((r*A3 - A2) + r^4*((A4 + r*A5) + r^2*(A6 + r*A7)),
+//   all coefficients are calcutated in quad and rounded to double
+//   precision. A7,A6,A5,A4 are stored in memory whereas A3 and A2
+//   created with setf.
+//
+//   N = float(n) where n is true unbiased exponent of x
+//
+//   T is tabular value of log(1/frcpa(x)) calculated in quad precision
+//   and represented by two floating-point numbers 64-bit Thi and 32-bit Tlo.
+//   To load Thi,Tlo we get bits from 55 to 62 of register format significand
+//   as index and calculate two addresses
+//     ad_Thi = Thi_table_base_addr + 8 * index
+//     ad_Tlo = Tlo_table_base_addr + 4 * index
+//
+//   L2 (1.0 or 1.0/log(10) depending on function) is calculated in quad
+//   precision and rounded to double extended; it's loaded from memory.
+//
+//   L1 (log(2) or log10(2) depending on function) is calculated in quad
+//   precision and represented by two floating-point 64-bit numbers L1hi,L1lo
+//   stored in memory.
 //
-// Form wseries = w + Q1*w^2 + Q2*w^3 + ... + Q7*w^8 + Q8*w^9
+//   And final result = ((L1hi*N + Thi) + (N*L1lo + Tlo)) + L2*P(r)
+//
+//
+// 2. |x-1| < 1/256
+//   r = x - 1
+//   P(r) = r*((r*A3 - A2) + r^4*((A4 + r*A5) + r^2*(A6 + r*A7)),
+//   A7,A6,A5A4,A3,A2 are the same as in case |x-1| >= 1/256
+//
+//   And final results
+//     log(x)   = P(r)
+//     log10(x) = L2*P(r)
+//
+// 3. How we define is input argument such that |x-1| < 1/256 or not.
+//
+//    To do it we analyze biased exponent and integer representation of
+//    input argument
+//
+//      a) First we test is biased exponent equal to 0xFFFE or 0xFFFF (i.e.
+//         we test is 0.5 <= x < 2). This comparison can be performed using
+//         unsigned version of cmp instruction in such a way
+//         biased_exponent_of_x - 0xFFFE < 2
+//
+//
+//      b) Second (in case when result of a) is true) we need to compare x
+//         with 1-1/256 and 1+1/256 or in double precision memory representation
+//         with 0x3FEFE00000000000 and 0x3FF0100000000000 correspondingly.
+//         This comparison can be made like in a), using unsigned
+//         version of cmp i.e. ix - 0x3FEFE00000000000 < 0x0000300000000000.
+//         0x0000300000000000 is difference between 0x3FF0100000000000 and
+//         0x3FEFE00000000000
+//
+//    Note: NaT, any NaNs, +/-INF, +/-0, negatives and unnormalized numbers are
+//          filtered and processed on special branches.
 //
-// result = wseries
 
-// Special values 
+//
+// Special values
 //==============================================================
-
-
+//
 // log(+0)    = -inf
 // log(-0)    = -inf
-
-// log(+qnan) = +qnan 
-// log(-qnan) = -qnan 
-// log(+snan) = +qnan 
-// log(-snan) = -qnan 
-
+//
+// log(+qnan) = +qnan
+// log(-qnan) = -qnan
+// log(+snan) = +qnan
+// log(-snan) = -qnan
+//
 // log(-n)    = QNAN Indefinite
-// log(-inf)  = QNAN Indefinite 
-
+// log(-inf)  = QNAN Indefinite
+//
 // log(+inf)  = +inf
-
+//
+//
 // Registers used
 //==============================================================
-// Floating Point registers used: 
+// Floating Point registers used:
 // f8, input
-// f9 -> f15,  f32 -> f68
-
-// General registers used:  
-// r32 -> r51
-
+// f7 -> f15,  f32 -> f42
+//
+// General registers used:
+// r8  -> r11
+// r14 -> r23
+//
 // Predicate registers used:
 // p6 -> p15
 
-// p8 log base e
-// p6 log base e special
-// p9 used in the frcpa
-// p13 log base e large W
-// p14 log base e small w
-
-// p7 log base 10
-// p10 log base 10 large W
-// p11 log base 10 small w
-// p12 log base 10 special
-
-#include "libm_support.h"
-
 // Assembly macros
 //==============================================================
-
-log_int_Nfloat   = f9 
-log_Nfloat       = f10 
-
-log_P5           = f11 
-log_P4           = f12 
-log_P3           = f13 
-log_P2           = f14 
-log_half         = f15
-
-log_log2         = f32 
-log_T            = f33 
-
-log_rp_p4        = f34 
-log_rp_p32       = f35 
-log_rp_p2        = f36 
-log_w6           = f37
-log_rp_p10       = f38
-log_rcube        = f39
-log_rsq          = f40 
-
-log_T_plus_Nlog2 = f41 
-log_w3           = f42
-
-log_r            = f43
-log_C            = f44
-
-log_w            = f45
-log_Q8           = f46
-log_Q7           = f47
-log_Q4           = f48 
-log_Q3           = f49
-log_Q6           = f50 
-log_Q5           = f51
-log_Q2           = f52
-log_Q1           = f53 
-log_P1           = f53 
-
-log_rp_q7        = f54 
-log_rp_q65       = f55
-log_Qlo          = f56
-
-log_rp_q3        = f57
-log_rp_q21       = f58
-log_Qhi          = f59
-
-log_wsq          = f60
-log_w4           = f61
-log_Q            = f62
-
-log_inv_ln10     = f63
-log_log10_hi     = f64
-log_log10_lo     = f65
-log_rp_q10       = f66
-log_NORM_f8      = f67
-log_r2P_r        = f68 
-
-// ===================================
-
-log_GR_exp_17_ones               = r33
-log_GR_exp_16_ones               = r34
-log_GR_exp_f8                    = r35
-log_GR_signexp_f8                = r36
-log_GR_true_exp_f8               = r37
-log_GR_significand_f8            = r38
-log_GR_half_exp                  = r39
-log_GR_index                     = r39
-log_AD_1                         = r40
-log_GR_signexp_w                 = r41
-log_GR_fff9                      = r42
-log_AD_2                         = r43
-log_GR_exp_w                     = r44
-
-GR_SAVE_B0                       = r45
-GR_SAVE_GP                       = r46
-GR_SAVE_PFS                      = r47
-
-GR_Parameter_X                   = r48
-GR_Parameter_Y                   = r49
-GR_Parameter_RESULT              = r50
-log_GR_tag                       = r51
-
-
-// Data tables
+GR_TAG                 = r8
+GR_ad_1                = r8
+GR_ad_2                = r9
+GR_Exp                 = r10
+GR_N                   = r11
+
+GR_x                   = r14
+GR_dx                  = r15
+GR_NearOne             = r15
+GR_xorg                = r16
+GR_mask                = r16
+GR_05                  = r17
+GR_A3                  = r18
+GR_Sig                 = r19
+GR_Ind                 = r19
+GR_Nm1                 = r20
+GR_bias                = r21
+GR_ad_3                = r22
+GR_rexp                = r23
+
+
+GR_SAVE_B0             = r33
+GR_SAVE_PFS            = r34
+GR_SAVE_GP             = r35
+GR_SAVE_SP             = r36
+
+GR_Parameter_X         = r37
+GR_Parameter_Y         = r38
+GR_Parameter_RESULT    = r39
+GR_Parameter_TAG       = r40
+
+
+
+FR_NormX               = f7
+FR_RcpX                = f9
+FR_tmp                 = f9
+FR_r                   = f10
+FR_r2                  = f11
+FR_r4                  = f12
+FR_N                   = f13
+FR_Ln2hi               = f14
+FR_Ln2lo               = f15
+
+FR_A7                  = f32
+FR_A6                  = f33
+FR_A5                  = f34
+FR_A4                  = f35
+FR_A3                  = f36
+FR_A2                  = f37
+
+FR_Thi                 = f38
+FR_NxLn2hipThi         = f38
+FR_NxLn2pT             = f38
+FR_Tlo                 = f39
+FR_NxLn2lopTlo         = f39
+
+FR_InvLn10             = f40
+FR_A32                 = f41
+FR_A321                = f42
+
+
+FR_Y                   = f1
+FR_X                   = f10
+FR_RESULT              = f8
+
+
+// Data
 //==============================================================
-
-#ifdef _LIBC
-.rodata
-#else
-.data
-#endif
-
+RODATA
 .align 16
 
-log_table_1:
-ASM_TYPE_DIRECTIVE(log_table_1,@object)
-data8 0xBFC5555DA7212371 // P5
-data8 0x3FC999A19EEF5826 // P4
-data8 0x3FBC756AC654273B // Q8
-data8 0xBFC001A42489AB4D // Q7
-data8 0x3FC99999999A169B // Q4
-data8 0xBFD00000000019AC // Q3
-ASM_SIZE_DIRECTIVE(log_table_1)
-log_table_2:
-ASM_TYPE_DIRECTIVE(log_table_2,@object)
-data8 0xBFCFFFFFFFFEF009 // P3
-data8 0x3FD555555554ECB2 // P2
-data8 0x3FC2492479AA0DF8 // Q6
-data8 0xBFC5555544986F52 // Q5
-data8 0x3FD5555555555555 // Q2
-data8 0xBFE0000000000000 // Q1, P1 = -0.5
-
-
-data8 0xde5bd8a937287195, 0x00003ffd  // double-extended 1/ln(10)
-data8 0xb17217f7d1cf79ac, 0x00003ffe  // log2
-//      b17217f7d1cf79ab c9e3b39803f2f6a
-
-
-data8 0x80200aaeac44ef38 , 0x00003ff6 //   log(1/frcpa(1+  0/2^-8))
-
-data8 0xc09090a2c35aa070 , 0x00003ff7 //   log(1/frcpa(1+  1/2^-8))
-data8 0xa0c94fcb41977c75 , 0x00003ff8 //   log(1/frcpa(1+  2/2^-8))
-data8 0xe18b9c263af83301 , 0x00003ff8 //   log(1/frcpa(1+  3/2^-8))
-data8 0x8d35c8d6399c30ea , 0x00003ff9 //   log(1/frcpa(1+  4/2^-8))
-data8 0xadd4d2ecd601cbb8 , 0x00003ff9 //   log(1/frcpa(1+  5/2^-8))
-
-data8 0xce95403a192f9f01 , 0x00003ff9 //   log(1/frcpa(1+  6/2^-8))
-data8 0xeb59392cbcc01096 , 0x00003ff9 //   log(1/frcpa(1+  7/2^-8))
-data8 0x862c7d0cefd54c5d , 0x00003ffa //   log(1/frcpa(1+  8/2^-8))
-data8 0x94aa63c65e70d499 , 0x00003ffa //   log(1/frcpa(1+  9/2^-8))
-data8 0xa54a696d4b62b382 , 0x00003ffa //   log(1/frcpa(1+ 10/2^-8))
-
-data8 0xb3e4a796a5dac208 , 0x00003ffa //   log(1/frcpa(1+ 11/2^-8))
-data8 0xc28c45b1878340a9 , 0x00003ffa //   log(1/frcpa(1+ 12/2^-8))
-data8 0xd35c55f39d7a6235 , 0x00003ffa //   log(1/frcpa(1+ 13/2^-8))
-data8 0xe220f037b954f1f5 , 0x00003ffa //   log(1/frcpa(1+ 14/2^-8))
-data8 0xf0f3389b036834f3 , 0x00003ffa //   log(1/frcpa(1+ 15/2^-8))
-
-data8 0xffd3488d5c980465 , 0x00003ffa //   log(1/frcpa(1+ 16/2^-8))
-data8 0x87609ce2ed300490 , 0x00003ffb //   log(1/frcpa(1+ 17/2^-8))
-data8 0x8ede9321e8c85927 , 0x00003ffb //   log(1/frcpa(1+ 18/2^-8))
-data8 0x96639427f2f8e2f4 , 0x00003ffb //   log(1/frcpa(1+ 19/2^-8))
-data8 0x9defad3e8f73217b , 0x00003ffb //   log(1/frcpa(1+ 20/2^-8))
-
-data8 0xa582ebd50097029c , 0x00003ffb //   log(1/frcpa(1+ 21/2^-8))
-data8 0xac06dbe75ab80fee , 0x00003ffb //   log(1/frcpa(1+ 22/2^-8))
-data8 0xb3a78449b2d3ccca , 0x00003ffb //   log(1/frcpa(1+ 23/2^-8))
-data8 0xbb4f79635ab46bb2 , 0x00003ffb //   log(1/frcpa(1+ 24/2^-8))
-data8 0xc2fec93a83523f3f , 0x00003ffb //   log(1/frcpa(1+ 25/2^-8))
-
-data8 0xc99af2eaca4c4571 , 0x00003ffb //   log(1/frcpa(1+ 26/2^-8))
-data8 0xd1581106472fa653 , 0x00003ffb //   log(1/frcpa(1+ 27/2^-8))
-data8 0xd8002560d4355f2e , 0x00003ffb //   log(1/frcpa(1+ 28/2^-8))
-data8 0xdfcb43b4fe508632 , 0x00003ffb //   log(1/frcpa(1+ 29/2^-8))
-data8 0xe67f6dff709d4119 , 0x00003ffb //   log(1/frcpa(1+ 30/2^-8))
-
-data8 0xed393b1c22351280 , 0x00003ffb //   log(1/frcpa(1+ 31/2^-8))
-data8 0xf5192bff087bcc35 , 0x00003ffb //   log(1/frcpa(1+ 32/2^-8))
-data8 0xfbdf4ff6dfef2fa3 , 0x00003ffb //   log(1/frcpa(1+ 33/2^-8))
-data8 0x81559a97f92f9cc7 , 0x00003ffc //   log(1/frcpa(1+ 34/2^-8))
-data8 0x84be72bce90266e8 , 0x00003ffc //   log(1/frcpa(1+ 35/2^-8))
-
-data8 0x88bc74113f23def2 , 0x00003ffc //   log(1/frcpa(1+ 36/2^-8))
-data8 0x8c2ba3edf6799d11 , 0x00003ffc //   log(1/frcpa(1+ 37/2^-8))
-data8 0x8f9dc92f92ea08b1 , 0x00003ffc //   log(1/frcpa(1+ 38/2^-8))
-data8 0x9312e8f36efab5a7 , 0x00003ffc //   log(1/frcpa(1+ 39/2^-8))
-data8 0x968b08643409ceb6 , 0x00003ffc //   log(1/frcpa(1+ 40/2^-8))
-
-data8 0x9a062cba08a1708c , 0x00003ffc //   log(1/frcpa(1+ 41/2^-8))
-data8 0x9d845b3abf95485c , 0x00003ffc //   log(1/frcpa(1+ 42/2^-8))
-data8 0xa06fd841bc001bb4 , 0x00003ffc //   log(1/frcpa(1+ 43/2^-8))
-data8 0xa3f3a74652fbe0db , 0x00003ffc //   log(1/frcpa(1+ 44/2^-8))
-data8 0xa77a8fb2336f20f5 , 0x00003ffc //   log(1/frcpa(1+ 45/2^-8))
-
-data8 0xab0497015d28b0a0 , 0x00003ffc //   log(1/frcpa(1+ 46/2^-8))
-data8 0xae91c2be6ba6a615 , 0x00003ffc //   log(1/frcpa(1+ 47/2^-8))
-data8 0xb189d1b99aebb20b , 0x00003ffc //   log(1/frcpa(1+ 48/2^-8))
-data8 0xb51cced5de9c1b2c , 0x00003ffc //   log(1/frcpa(1+ 49/2^-8))
-data8 0xb819bee9e720d42f , 0x00003ffc //   log(1/frcpa(1+ 50/2^-8))
-
-data8 0xbbb2a0947b093a5d , 0x00003ffc //   log(1/frcpa(1+ 51/2^-8))
-data8 0xbf4ec1505811684a , 0x00003ffc //   log(1/frcpa(1+ 52/2^-8))
-data8 0xc2535bacfa8975ff , 0x00003ffc //   log(1/frcpa(1+ 53/2^-8))
-data8 0xc55a3eafad187eb8 , 0x00003ffc //   log(1/frcpa(1+ 54/2^-8))
-data8 0xc8ff2484b2c0da74 , 0x00003ffc //   log(1/frcpa(1+ 55/2^-8))
-
-data8 0xcc0b1a008d53ab76 , 0x00003ffc //   log(1/frcpa(1+ 56/2^-8))
-data8 0xcfb6203844b3209b , 0x00003ffc //   log(1/frcpa(1+ 57/2^-8))
-data8 0xd2c73949a47a19f5 , 0x00003ffc //   log(1/frcpa(1+ 58/2^-8))
-data8 0xd5daae18b49d6695 , 0x00003ffc //   log(1/frcpa(1+ 59/2^-8))
-data8 0xd8f08248cf7e8019 , 0x00003ffc //   log(1/frcpa(1+ 60/2^-8))
-
-data8 0xdca7749f1b3e540e , 0x00003ffc //   log(1/frcpa(1+ 61/2^-8))
-data8 0xdfc28e033aaaf7c7 , 0x00003ffc //   log(1/frcpa(1+ 62/2^-8))
-data8 0xe2e012a5f91d2f55 , 0x00003ffc //   log(1/frcpa(1+ 63/2^-8))
-data8 0xe600064ed9e292a8 , 0x00003ffc //   log(1/frcpa(1+ 64/2^-8))
-data8 0xe9226cce42b39f60 , 0x00003ffc //   log(1/frcpa(1+ 65/2^-8))
-
-data8 0xec4749fd97a28360 , 0x00003ffc //   log(1/frcpa(1+ 66/2^-8))
-data8 0xef6ea1bf57780495 , 0x00003ffc //   log(1/frcpa(1+ 67/2^-8))
-data8 0xf29877ff38809091 , 0x00003ffc //   log(1/frcpa(1+ 68/2^-8))
-data8 0xf5c4d0b245cb89be , 0x00003ffc //   log(1/frcpa(1+ 69/2^-8))
-data8 0xf8f3afd6fcdef3aa , 0x00003ffc //   log(1/frcpa(1+ 70/2^-8))
-
-data8 0xfc2519756be1abc7 , 0x00003ffc //   log(1/frcpa(1+ 71/2^-8))
-data8 0xff59119f503e6832 , 0x00003ffc //   log(1/frcpa(1+ 72/2^-8))
-data8 0x8147ce381ae0e146 , 0x00003ffd //   log(1/frcpa(1+ 73/2^-8))
-data8 0x82e45f06cb1ad0f2 , 0x00003ffd //   log(1/frcpa(1+ 74/2^-8))
-data8 0x842f5c7c573cbaa2 , 0x00003ffd //   log(1/frcpa(1+ 75/2^-8))
-
-data8 0x85ce471968c8893a , 0x00003ffd //   log(1/frcpa(1+ 76/2^-8))
-data8 0x876e8305bc04066d , 0x00003ffd //   log(1/frcpa(1+ 77/2^-8))
-data8 0x891012678031fbb3 , 0x00003ffd //   log(1/frcpa(1+ 78/2^-8))
-data8 0x8a5f1493d766a05f , 0x00003ffd //   log(1/frcpa(1+ 79/2^-8))
-data8 0x8c030c778c56fa00 , 0x00003ffd //   log(1/frcpa(1+ 80/2^-8))
-
-data8 0x8da85df17e31d9ae , 0x00003ffd //   log(1/frcpa(1+ 81/2^-8))
-data8 0x8efa663e7921687e , 0x00003ffd //   log(1/frcpa(1+ 82/2^-8))
-data8 0x90a22b6875c6a1f8 , 0x00003ffd //   log(1/frcpa(1+ 83/2^-8))
-data8 0x91f62cc8f5d24837 , 0x00003ffd //   log(1/frcpa(1+ 84/2^-8))
-data8 0x93a06cfc3857d980 , 0x00003ffd //   log(1/frcpa(1+ 85/2^-8))
-
-data8 0x94f66d5e6fd01ced , 0x00003ffd //   log(1/frcpa(1+ 86/2^-8))
-data8 0x96a330156e6772f2 , 0x00003ffd //   log(1/frcpa(1+ 87/2^-8))
-data8 0x97fb3582754ea25b , 0x00003ffd //   log(1/frcpa(1+ 88/2^-8))
-data8 0x99aa8259aad1bbf2 , 0x00003ffd //   log(1/frcpa(1+ 89/2^-8))
-data8 0x9b0492f6227ae4a8 , 0x00003ffd //   log(1/frcpa(1+ 90/2^-8))
-
-data8 0x9c5f8e199bf3a7a5 , 0x00003ffd //   log(1/frcpa(1+ 91/2^-8))
-data8 0x9e1293b9998c1daa , 0x00003ffd //   log(1/frcpa(1+ 92/2^-8))
-data8 0x9f6fa31e0b41f308 , 0x00003ffd //   log(1/frcpa(1+ 93/2^-8))
-data8 0xa0cda11eaf46390e , 0x00003ffd //   log(1/frcpa(1+ 94/2^-8))
-data8 0xa22c8f029cfa45aa , 0x00003ffd //   log(1/frcpa(1+ 95/2^-8))
-
-data8 0xa3e48badb7856b34 , 0x00003ffd //   log(1/frcpa(1+ 96/2^-8))
-data8 0xa5459a0aa95849f9 , 0x00003ffd //   log(1/frcpa(1+ 97/2^-8))
-data8 0xa6a79c84480cfebd , 0x00003ffd //   log(1/frcpa(1+ 98/2^-8))
-data8 0xa80a946d0fcb3eb2 , 0x00003ffd //   log(1/frcpa(1+ 99/2^-8))
-data8 0xa96e831a3ea7b314 , 0x00003ffd //   log(1/frcpa(1+100/2^-8))
-
-data8 0xaad369e3dc544e3b , 0x00003ffd //   log(1/frcpa(1+101/2^-8))
-data8 0xac92e9588952c815 , 0x00003ffd //   log(1/frcpa(1+102/2^-8))
-data8 0xadfa035aa1ed8fdc , 0x00003ffd //   log(1/frcpa(1+103/2^-8))
-data8 0xaf6219eae1ad6e34 , 0x00003ffd //   log(1/frcpa(1+104/2^-8))
-data8 0xb0cb2e6d8160f753 , 0x00003ffd //   log(1/frcpa(1+105/2^-8))
-
-data8 0xb2354249ad950f72 , 0x00003ffd //   log(1/frcpa(1+106/2^-8))
-data8 0xb3a056e98ef4a3b4 , 0x00003ffd //   log(1/frcpa(1+107/2^-8))
-data8 0xb50c6dba52c6292a , 0x00003ffd //   log(1/frcpa(1+108/2^-8))
-data8 0xb679882c33876165 , 0x00003ffd //   log(1/frcpa(1+109/2^-8))
-data8 0xb78c07429785cedc , 0x00003ffd //   log(1/frcpa(1+110/2^-8))
-
-data8 0xb8faeb8dc4a77d24 , 0x00003ffd //   log(1/frcpa(1+111/2^-8))
-data8 0xba6ad77eb36ae0d6 , 0x00003ffd //   log(1/frcpa(1+112/2^-8))
-data8 0xbbdbcc915e9bee50 , 0x00003ffd //   log(1/frcpa(1+113/2^-8))
-data8 0xbd4dcc44f8cf12ef , 0x00003ffd //   log(1/frcpa(1+114/2^-8))
-data8 0xbec0d81bf5b531fa , 0x00003ffd //   log(1/frcpa(1+115/2^-8))
-
-data8 0xc034f19c139186f4 , 0x00003ffd //   log(1/frcpa(1+116/2^-8))
-data8 0xc14cb69f7c5e55ab , 0x00003ffd //   log(1/frcpa(1+117/2^-8))
-data8 0xc2c2abbb6e5fd56f , 0x00003ffd //   log(1/frcpa(1+118/2^-8))
-data8 0xc439b2c193e6771e , 0x00003ffd //   log(1/frcpa(1+119/2^-8))
-data8 0xc553acb9d5c67733 , 0x00003ffd //   log(1/frcpa(1+120/2^-8))
-
-data8 0xc6cc96e441272441 , 0x00003ffd //   log(1/frcpa(1+121/2^-8))
-data8 0xc8469753eca88c30 , 0x00003ffd //   log(1/frcpa(1+122/2^-8))
-data8 0xc962cf3ce072b05c , 0x00003ffd //   log(1/frcpa(1+123/2^-8))
-data8 0xcadeba8771f694aa , 0x00003ffd //   log(1/frcpa(1+124/2^-8))
-data8 0xcc5bc08d1f72da94 , 0x00003ffd //   log(1/frcpa(1+125/2^-8))
-
-data8 0xcd7a3f99ea035c29 , 0x00003ffd //   log(1/frcpa(1+126/2^-8))
-data8 0xcef93860c8a53c35 , 0x00003ffd //   log(1/frcpa(1+127/2^-8))
-data8 0xd0192f68a7ed23df , 0x00003ffd //   log(1/frcpa(1+128/2^-8))
-data8 0xd19a201127d3c645 , 0x00003ffd //   log(1/frcpa(1+129/2^-8))
-data8 0xd2bb92f4061c172c , 0x00003ffd //   log(1/frcpa(1+130/2^-8))
-
-data8 0xd43e80b2ee8cc8fc , 0x00003ffd //   log(1/frcpa(1+131/2^-8))
-data8 0xd56173601fc4ade4 , 0x00003ffd //   log(1/frcpa(1+132/2^-8))
-data8 0xd6e6637efb54086f , 0x00003ffd //   log(1/frcpa(1+133/2^-8))
-data8 0xd80ad9f58f3c8193 , 0x00003ffd //   log(1/frcpa(1+134/2^-8))
-data8 0xd991d1d31aca41f8 , 0x00003ffd //   log(1/frcpa(1+135/2^-8))
-
-data8 0xdab7d02231484a93 , 0x00003ffd //   log(1/frcpa(1+136/2^-8))
-data8 0xdc40d532cde49a54 , 0x00003ffd //   log(1/frcpa(1+137/2^-8))
-data8 0xdd685f79ed8b265e , 0x00003ffd //   log(1/frcpa(1+138/2^-8))
-data8 0xde9094bbc0e17b1d , 0x00003ffd //   log(1/frcpa(1+139/2^-8))
-data8 0xe01c91b78440c425 , 0x00003ffd //   log(1/frcpa(1+140/2^-8))
-
-data8 0xe14658f26997e729 , 0x00003ffd //   log(1/frcpa(1+141/2^-8))
-data8 0xe270cdc2391e0d23 , 0x00003ffd //   log(1/frcpa(1+142/2^-8))
-data8 0xe3ffce3a2aa64922 , 0x00003ffd //   log(1/frcpa(1+143/2^-8))
-data8 0xe52bdb274ed82887 , 0x00003ffd //   log(1/frcpa(1+144/2^-8))
-data8 0xe6589852e75d7df6 , 0x00003ffd //   log(1/frcpa(1+145/2^-8))
-
-data8 0xe786068c79937a7d , 0x00003ffd //   log(1/frcpa(1+146/2^-8))
-data8 0xe91903adad100911 , 0x00003ffd //   log(1/frcpa(1+147/2^-8))
-data8 0xea481236f7d35bb0 , 0x00003ffd //   log(1/frcpa(1+148/2^-8))
-data8 0xeb77d48c692e6b14 , 0x00003ffd //   log(1/frcpa(1+149/2^-8))
-data8 0xeca84b83d7297b87 , 0x00003ffd //   log(1/frcpa(1+150/2^-8))
-
-data8 0xedd977f4962aa158 , 0x00003ffd //   log(1/frcpa(1+151/2^-8))
-data8 0xef7179a22f257754 , 0x00003ffd //   log(1/frcpa(1+152/2^-8))
-data8 0xf0a450d139366ca7 , 0x00003ffd //   log(1/frcpa(1+153/2^-8))
-data8 0xf1d7e0524ff9ffdb , 0x00003ffd //   log(1/frcpa(1+154/2^-8))
-data8 0xf30c29036a8b6cae , 0x00003ffd //   log(1/frcpa(1+155/2^-8))
-
-data8 0xf4412bc411ea8d92 , 0x00003ffd //   log(1/frcpa(1+156/2^-8))
-data8 0xf576e97564c8619d , 0x00003ffd //   log(1/frcpa(1+157/2^-8))
-data8 0xf6ad62fa1b5f172f , 0x00003ffd //   log(1/frcpa(1+158/2^-8))
-data8 0xf7e499368b55c542 , 0x00003ffd //   log(1/frcpa(1+159/2^-8))
-data8 0xf91c8d10abaffe22 , 0x00003ffd //   log(1/frcpa(1+160/2^-8))
-
-data8 0xfa553f7018c966f3 , 0x00003ffd //   log(1/frcpa(1+161/2^-8))
-data8 0xfb8eb13e185d802c , 0x00003ffd //   log(1/frcpa(1+162/2^-8))
-data8 0xfcc8e3659d9bcbed , 0x00003ffd //   log(1/frcpa(1+163/2^-8))
-data8 0xfe03d6d34d487fd2 , 0x00003ffd //   log(1/frcpa(1+164/2^-8))
-data8 0xff3f8c7581e9f0ae , 0x00003ffd //   log(1/frcpa(1+165/2^-8))
-
-data8 0x803e029e280173ae , 0x00003ffe //   log(1/frcpa(1+166/2^-8))
-data8 0x80dca10cc52d0757 , 0x00003ffe //   log(1/frcpa(1+167/2^-8))
-data8 0x817ba200632755a1 , 0x00003ffe //   log(1/frcpa(1+168/2^-8))
-data8 0x821b05f3b01d6774 , 0x00003ffe //   log(1/frcpa(1+169/2^-8))
-data8 0x82bacd623ff19d06 , 0x00003ffe //   log(1/frcpa(1+170/2^-8))
-
-data8 0x835af8c88e7a8f47 , 0x00003ffe //   log(1/frcpa(1+171/2^-8))
-data8 0x83c5f8299e2b4091 , 0x00003ffe //   log(1/frcpa(1+172/2^-8))
-data8 0x8466cb43f3d87300 , 0x00003ffe //   log(1/frcpa(1+173/2^-8))
-data8 0x850803a67c80ca4b , 0x00003ffe //   log(1/frcpa(1+174/2^-8))
-data8 0x85a9a1d11a23b461 , 0x00003ffe //   log(1/frcpa(1+175/2^-8))
-
-data8 0x864ba644a18e6e05 , 0x00003ffe //   log(1/frcpa(1+176/2^-8))
-data8 0x86ee1182dcc432f7 , 0x00003ffe //   log(1/frcpa(1+177/2^-8))
-data8 0x875a925d7e48c316 , 0x00003ffe //   log(1/frcpa(1+178/2^-8))
-data8 0x87fdaa109d23aef7 , 0x00003ffe //   log(1/frcpa(1+179/2^-8))
-data8 0x88a129ed4becfaf2 , 0x00003ffe //   log(1/frcpa(1+180/2^-8))
-
-data8 0x89451278ecd7f9cf , 0x00003ffe //   log(1/frcpa(1+181/2^-8))
-data8 0x89b29295f8432617 , 0x00003ffe //   log(1/frcpa(1+182/2^-8))
-data8 0x8a572ac5a5496882 , 0x00003ffe //   log(1/frcpa(1+183/2^-8))
-data8 0x8afc2d0ce3b2dadf , 0x00003ffe //   log(1/frcpa(1+184/2^-8))
-data8 0x8b6a69c608cfd3af , 0x00003ffe //   log(1/frcpa(1+185/2^-8))
-
-data8 0x8c101e106e899a83 , 0x00003ffe //   log(1/frcpa(1+186/2^-8))
-data8 0x8cb63de258f9d626 , 0x00003ffe //   log(1/frcpa(1+187/2^-8))
-data8 0x8d2539c5bd19e2b1 , 0x00003ffe //   log(1/frcpa(1+188/2^-8))
-data8 0x8dcc0e064b29e6f1 , 0x00003ffe //   log(1/frcpa(1+189/2^-8))
-data8 0x8e734f45d88357ae , 0x00003ffe //   log(1/frcpa(1+190/2^-8))
-
-data8 0x8ee30cef034a20db , 0x00003ffe //   log(1/frcpa(1+191/2^-8))
-data8 0x8f8b0515686d1d06 , 0x00003ffe //   log(1/frcpa(1+192/2^-8))
-data8 0x90336bba039bf32f , 0x00003ffe //   log(1/frcpa(1+193/2^-8))
-data8 0x90a3edd23d1c9d58 , 0x00003ffe //   log(1/frcpa(1+194/2^-8))
-data8 0x914d0de2f5d61b32 , 0x00003ffe //   log(1/frcpa(1+195/2^-8))
-
-data8 0x91be0c20d28173b5 , 0x00003ffe //   log(1/frcpa(1+196/2^-8))
-data8 0x9267e737c06cd34a , 0x00003ffe //   log(1/frcpa(1+197/2^-8))
-data8 0x92d962ae6abb1237 , 0x00003ffe //   log(1/frcpa(1+198/2^-8))
-data8 0x9383fa6afbe2074c , 0x00003ffe //   log(1/frcpa(1+199/2^-8))
-data8 0x942f0421651c1c4e , 0x00003ffe //   log(1/frcpa(1+200/2^-8))
-
-data8 0x94a14a3845bb985e , 0x00003ffe //   log(1/frcpa(1+201/2^-8))
-data8 0x954d133857f861e7 , 0x00003ffe //   log(1/frcpa(1+202/2^-8))
-data8 0x95bfd96468e604c4 , 0x00003ffe //   log(1/frcpa(1+203/2^-8))
-data8 0x9632d31cafafa858 , 0x00003ffe //   log(1/frcpa(1+204/2^-8))
-data8 0x96dfaabd86fa1647 , 0x00003ffe //   log(1/frcpa(1+205/2^-8))
-
-data8 0x9753261fcbb2a594 , 0x00003ffe //   log(1/frcpa(1+206/2^-8))
-data8 0x9800c11b426b996d , 0x00003ffe //   log(1/frcpa(1+207/2^-8))
-data8 0x9874bf4d45ae663c , 0x00003ffe //   log(1/frcpa(1+208/2^-8))
-data8 0x99231f5ee9a74f79 , 0x00003ffe //   log(1/frcpa(1+209/2^-8))
-data8 0x9997a18a56bcad28 , 0x00003ffe //   log(1/frcpa(1+210/2^-8))
-
-data8 0x9a46c873a3267e79 , 0x00003ffe //   log(1/frcpa(1+211/2^-8))
-data8 0x9abbcfc621eb6cb6 , 0x00003ffe //   log(1/frcpa(1+212/2^-8))
-data8 0x9b310cb0d354c990 , 0x00003ffe //   log(1/frcpa(1+213/2^-8))
-data8 0x9be14cf9e1b3515c , 0x00003ffe //   log(1/frcpa(1+214/2^-8))
-data8 0x9c5710b8cbb73a43 , 0x00003ffe //   log(1/frcpa(1+215/2^-8))
-
-data8 0x9ccd0abd301f399c , 0x00003ffe //   log(1/frcpa(1+216/2^-8))
-data8 0x9d7e67f3bdce8888 , 0x00003ffe //   log(1/frcpa(1+217/2^-8))
-data8 0x9df4ea81a99daa01 , 0x00003ffe //   log(1/frcpa(1+218/2^-8))
-data8 0x9e6ba405a54514ba , 0x00003ffe //   log(1/frcpa(1+219/2^-8))
-data8 0x9f1e21c8c7bb62b3 , 0x00003ffe //   log(1/frcpa(1+220/2^-8))
-
-data8 0x9f956593f6b6355c , 0x00003ffe //   log(1/frcpa(1+221/2^-8))
-data8 0xa00ce1092e5498c3 , 0x00003ffe //   log(1/frcpa(1+222/2^-8))
-data8 0xa0c08309c4b912c1 , 0x00003ffe //   log(1/frcpa(1+223/2^-8))
-data8 0xa1388a8c6faa2afa , 0x00003ffe //   log(1/frcpa(1+224/2^-8))
-data8 0xa1b0ca7095b5f985 , 0x00003ffe //   log(1/frcpa(1+225/2^-8))
-
-data8 0xa22942eb47534a00 , 0x00003ffe //   log(1/frcpa(1+226/2^-8))
-data8 0xa2de62326449d0a3 , 0x00003ffe //   log(1/frcpa(1+227/2^-8))
-data8 0xa357690f88bfe345 , 0x00003ffe //   log(1/frcpa(1+228/2^-8))
-data8 0xa3d0a93f45169a4b , 0x00003ffe //   log(1/frcpa(1+229/2^-8))
-data8 0xa44a22f7ffe65f30 , 0x00003ffe //   log(1/frcpa(1+230/2^-8))
-
-data8 0xa500c5e5b4c1aa36 , 0x00003ffe //   log(1/frcpa(1+231/2^-8))
-data8 0xa57ad064eb2ebbc2 , 0x00003ffe //   log(1/frcpa(1+232/2^-8))
-data8 0xa5f5152dedf4384e , 0x00003ffe //   log(1/frcpa(1+233/2^-8))
-data8 0xa66f9478856233ec , 0x00003ffe //   log(1/frcpa(1+234/2^-8))
-data8 0xa6ea4e7cca02c32e , 0x00003ffe //   log(1/frcpa(1+235/2^-8))
-
-data8 0xa765437325341ccf , 0x00003ffe //   log(1/frcpa(1+236/2^-8))
-data8 0xa81e21e6c75b4020 , 0x00003ffe //   log(1/frcpa(1+237/2^-8))
-data8 0xa899ab333fe2b9ca , 0x00003ffe //   log(1/frcpa(1+238/2^-8))
-data8 0xa9157039c51ebe71 , 0x00003ffe //   log(1/frcpa(1+239/2^-8))
-data8 0xa991713433c2b999 , 0x00003ffe //   log(1/frcpa(1+240/2^-8))
-
-data8 0xaa0dae5cbcc048b3 , 0x00003ffe //   log(1/frcpa(1+241/2^-8))
-data8 0xaa8a27ede5eb13ad , 0x00003ffe //   log(1/frcpa(1+242/2^-8))
-data8 0xab06de228a9e3499 , 0x00003ffe //   log(1/frcpa(1+243/2^-8))
-data8 0xab83d135dc633301 , 0x00003ffe //   log(1/frcpa(1+244/2^-8))
-data8 0xac3fb076adc7fe7a , 0x00003ffe //   log(1/frcpa(1+245/2^-8))
-
-data8 0xacbd3cbbe47988f1 , 0x00003ffe //   log(1/frcpa(1+246/2^-8))
-data8 0xad3b06b1a5dc57c3 , 0x00003ffe //   log(1/frcpa(1+247/2^-8))
-data8 0xadb90e94af887717 , 0x00003ffe //   log(1/frcpa(1+248/2^-8))
-data8 0xae3754a218f7c816 , 0x00003ffe //   log(1/frcpa(1+249/2^-8))
-data8 0xaeb5d9175437afa2 , 0x00003ffe //   log(1/frcpa(1+250/2^-8))
-
-data8 0xaf349c322e9c7cee , 0x00003ffe //   log(1/frcpa(1+251/2^-8))
-data8 0xafb39e30d1768d1c , 0x00003ffe //   log(1/frcpa(1+252/2^-8))
-data8 0xb032df51c2c93116 , 0x00003ffe //   log(1/frcpa(1+253/2^-8))
-data8 0xb0b25fd3e6035ad9 , 0x00003ffe //   log(1/frcpa(1+254/2^-8))
-data8 0xb1321ff67cba178c , 0x00003ffe //   log(1/frcpa(1+255/2^-8))
-ASM_SIZE_DIRECTIVE(log_table_2)
-
-   
-.align 32
-.global log#
-.global log10#
+LOCAL_OBJECT_START(log_data)
+// coefficients of polynomial approximation
+data8 0x3FC2494104381A8E // A7
+data8 0xBFC5556D556BBB69 // A6
+//
+// two parts of ln(2)
+data8 0x3FE62E42FEF00000,0x3DD473DE6AF278ED
+//
+data8 0x8000000000000000,0x3FFF // 1.0
+//
+data8 0x3FC999999988B5E9 // A5
+data8 0xBFCFFFFFFFF6FFF5 // A4
+//
+// hi parts of ln(1/frcpa(1+i/256)), i=0...255
+data8 0x3F60040155D5889D // 0
+data8 0x3F78121214586B54 // 1
+data8 0x3F841929F96832EF // 2
+data8 0x3F8C317384C75F06 // 3
+data8 0x3F91A6B91AC73386 // 4
+data8 0x3F95BA9A5D9AC039 // 5
+data8 0x3F99D2A8074325F3 // 6
+data8 0x3F9D6B2725979802 // 7
+data8 0x3FA0C58FA19DFAA9 // 8
+data8 0x3FA2954C78CBCE1A // 9
+data8 0x3FA4A94D2DA96C56 // 10
+data8 0x3FA67C94F2D4BB58 // 11
+data8 0x3FA85188B630F068 // 12
+data8 0x3FAA6B8ABE73AF4C // 13
+data8 0x3FAC441E06F72A9E // 14
+data8 0x3FAE1E6713606D06 // 15
+data8 0x3FAFFA6911AB9300 // 16
+data8 0x3FB0EC139C5DA600 // 17
+data8 0x3FB1DBD2643D190B // 18
+data8 0x3FB2CC7284FE5F1C // 19
+data8 0x3FB3BDF5A7D1EE64 // 20
+data8 0x3FB4B05D7AA012E0 // 21
+data8 0x3FB580DB7CEB5701 // 22
+data8 0x3FB674F089365A79 // 23
+data8 0x3FB769EF2C6B568D // 24
+data8 0x3FB85FD927506A47 // 25
+data8 0x3FB9335E5D594988 // 26
+data8 0x3FBA2B0220C8E5F4 // 27
+data8 0x3FBB0004AC1A86AB // 28
+data8 0x3FBBF968769FCA10 // 29
+data8 0x3FBCCFEDBFEE13A8 // 30
+data8 0x3FBDA727638446A2 // 31
+data8 0x3FBEA3257FE10F79 // 32
+data8 0x3FBF7BE9FEDBFDE5 // 33
+data8 0x3FC02AB352FF25F3 // 34
+data8 0x3FC097CE579D204C // 35
+data8 0x3FC1178E8227E47B // 36
+data8 0x3FC185747DBECF33 // 37
+data8 0x3FC1F3B925F25D41 // 38
+data8 0x3FC2625D1E6DDF56 // 39
+data8 0x3FC2D1610C868139 // 40
+data8 0x3FC340C59741142E // 41
+data8 0x3FC3B08B6757F2A9 // 42
+data8 0x3FC40DFB08378003 // 43
+data8 0x3FC47E74E8CA5F7C // 44
+data8 0x3FC4EF51F6466DE4 // 45
+data8 0x3FC56092E02BA516 // 46
+data8 0x3FC5D23857CD74D4 // 47
+data8 0x3FC6313A37335D76 // 48
+data8 0x3FC6A399DABBD383 // 49
+data8 0x3FC70337DD3CE41A // 50
+data8 0x3FC77654128F6127 // 51
+data8 0x3FC7E9D82A0B022D // 52
+data8 0x3FC84A6B759F512E // 53
+data8 0x3FC8AB47D5F5A30F // 54
+data8 0x3FC91FE49096581B // 55
+data8 0x3FC981634011AA75 // 56
+data8 0x3FC9F6C407089664 // 57
+data8 0x3FCA58E729348F43 // 58
+data8 0x3FCABB55C31693AC // 59
+data8 0x3FCB1E104919EFD0 // 60
+data8 0x3FCB94EE93E367CA // 61
+data8 0x3FCBF851C067555E // 62
+data8 0x3FCC5C0254BF23A5 // 63
+data8 0x3FCCC000C9DB3C52 // 64
+data8 0x3FCD244D99C85673 // 65
+data8 0x3FCD88E93FB2F450 // 66
+data8 0x3FCDEDD437EAEF00 // 67
+data8 0x3FCE530EFFE71012 // 68
+data8 0x3FCEB89A1648B971 // 69
+data8 0x3FCF1E75FADF9BDE // 70
+data8 0x3FCF84A32EAD7C35 // 71
+data8 0x3FCFEB2233EA07CD // 72
+data8 0x3FD028F9C7035C1C // 73
+data8 0x3FD05C8BE0D9635A // 74
+data8 0x3FD085EB8F8AE797 // 75
+data8 0x3FD0B9C8E32D1911 // 76
+data8 0x3FD0EDD060B78080 // 77
+data8 0x3FD122024CF0063F // 78
+data8 0x3FD14BE2927AECD4 // 79
+data8 0x3FD180618EF18ADF // 80
+data8 0x3FD1B50BBE2FC63B // 81
+data8 0x3FD1DF4CC7CF242D // 82
+data8 0x3FD214456D0EB8D4 // 83
+data8 0x3FD23EC5991EBA49 // 84
+data8 0x3FD2740D9F870AFB // 85
+data8 0x3FD29ECDABCDFA03 // 86
+data8 0x3FD2D46602ADCCEE // 87
+data8 0x3FD2FF66B04EA9D4 // 88
+data8 0x3FD335504B355A37 // 89
+data8 0x3FD360925EC44F5C // 90
+data8 0x3FD38BF1C3337E74 // 91
+data8 0x3FD3C25277333183 // 92
+data8 0x3FD3EDF463C1683E // 93
+data8 0x3FD419B423D5E8C7 // 94
+data8 0x3FD44591E0539F48 // 95
+data8 0x3FD47C9175B6F0AD // 96
+data8 0x3FD4A8B341552B09 // 97
+data8 0x3FD4D4F39089019F // 98
+data8 0x3FD501528DA1F967 // 99
+data8 0x3FD52DD06347D4F6 // 100
+data8 0x3FD55A6D3C7B8A89 // 101
+data8 0x3FD5925D2B112A59 // 102
+data8 0x3FD5BF406B543DB1 // 103
+data8 0x3FD5EC433D5C35AD // 104
+data8 0x3FD61965CDB02C1E // 105
+data8 0x3FD646A84935B2A1 // 106
+data8 0x3FD6740ADD31DE94 // 107
+data8 0x3FD6A18DB74A58C5 // 108
+data8 0x3FD6CF31058670EC // 109
+data8 0x3FD6F180E852F0B9 // 110
+data8 0x3FD71F5D71B894EF // 111
+data8 0x3FD74D5AEFD66D5C // 112
+data8 0x3FD77B79922BD37D // 113
+data8 0x3FD7A9B9889F19E2 // 114
+data8 0x3FD7D81B037EB6A6 // 115
+data8 0x3FD8069E33827230 // 116
+data8 0x3FD82996D3EF8BCA // 117
+data8 0x3FD85855776DCBFA // 118
+data8 0x3FD8873658327CCE // 119
+data8 0x3FD8AA75973AB8CE // 120
+data8 0x3FD8D992DC8824E4 // 121
+data8 0x3FD908D2EA7D9511 // 122
+data8 0x3FD92C59E79C0E56 // 123
+data8 0x3FD95BD750EE3ED2 // 124
+data8 0x3FD98B7811A3EE5B // 125
+data8 0x3FD9AF47F33D406B // 126
+data8 0x3FD9DF270C1914A7 // 127
+data8 0x3FDA0325ED14FDA4 // 128
+data8 0x3FDA33440224FA78 // 129
+data8 0x3FDA57725E80C382 // 130
+data8 0x3FDA87D0165DD199 // 131
+data8 0x3FDAAC2E6C03F895 // 132
+data8 0x3FDADCCC6FDF6A81 // 133
+data8 0x3FDB015B3EB1E790 // 134
+data8 0x3FDB323A3A635948 // 135
+data8 0x3FDB56FA04462909 // 136
+data8 0x3FDB881AA659BC93 // 137
+data8 0x3FDBAD0BEF3DB164 // 138
+data8 0x3FDBD21297781C2F // 139
+data8 0x3FDC039236F08818 // 140
+data8 0x3FDC28CB1E4D32FC // 141
+data8 0x3FDC4E19B84723C1 // 142
+data8 0x3FDC7FF9C74554C9 // 143
+data8 0x3FDCA57B64E9DB05 // 144
+data8 0x3FDCCB130A5CEBAF // 145
+data8 0x3FDCF0C0D18F326F // 146
+data8 0x3FDD232075B5A201 // 147
+data8 0x3FDD490246DEFA6B // 148
+data8 0x3FDD6EFA918D25CD // 149
+data8 0x3FDD9509707AE52F // 150
+data8 0x3FDDBB2EFE92C554 // 151
+data8 0x3FDDEE2F3445E4AE // 152
+data8 0x3FDE148A1A2726CD // 153
+data8 0x3FDE3AFC0A49FF3F // 154
+data8 0x3FDE6185206D516D // 155
+data8 0x3FDE882578823D51 // 156
+data8 0x3FDEAEDD2EAC990C // 157
+data8 0x3FDED5AC5F436BE2 // 158
+data8 0x3FDEFC9326D16AB8 // 159
+data8 0x3FDF2391A21575FF // 160
+data8 0x3FDF4AA7EE03192C // 161
+data8 0x3FDF71D627C30BB0 // 162
+data8 0x3FDF991C6CB3B379 // 163
+data8 0x3FDFC07ADA69A90F // 164
+data8 0x3FDFE7F18EB03D3E // 165
+data8 0x3FE007C053C5002E // 166
+data8 0x3FE01B942198A5A0 // 167
+data8 0x3FE02F74400C64EA // 168
+data8 0x3FE04360BE7603AC // 169
+data8 0x3FE05759AC47FE33 // 170
+data8 0x3FE06B5F1911CF51 // 171
+data8 0x3FE078BF0533C568 // 172
+data8 0x3FE08CD9687E7B0E // 173
+data8 0x3FE0A10074CF9019 // 174
+data8 0x3FE0B5343A234476 // 175
+data8 0x3FE0C974C89431CD // 176
+data8 0x3FE0DDC2305B9886 // 177
+data8 0x3FE0EB524BAFC918 // 178
+data8 0x3FE0FFB54213A475 // 179
+data8 0x3FE114253DA97D9F // 180
+data8 0x3FE128A24F1D9AFF // 181
+data8 0x3FE1365252BF0864 // 182
+data8 0x3FE14AE558B4A92D // 183
+data8 0x3FE15F85A19C765B // 184
+data8 0x3FE16D4D38C119FA // 185
+data8 0x3FE18203C20DD133 // 186
+data8 0x3FE196C7BC4B1F3A // 187
+data8 0x3FE1A4A738B7A33C // 188
+data8 0x3FE1B981C0C9653C // 189
+data8 0x3FE1CE69E8BB106A // 190
+data8 0x3FE1DC619DE06944 // 191
+data8 0x3FE1F160A2AD0DA3 // 192
+data8 0x3FE2066D7740737E // 193
+data8 0x3FE2147DBA47A393 // 194
+data8 0x3FE229A1BC5EBAC3 // 195
+data8 0x3FE237C1841A502E // 196
+data8 0x3FE24CFCE6F80D9A // 197
+data8 0x3FE25B2C55CD5762 // 198
+data8 0x3FE2707F4D5F7C40 // 199
+data8 0x3FE285E0842CA383 // 200
+data8 0x3FE294294708B773 // 201
+data8 0x3FE2A9A2670AFF0C // 202
+data8 0x3FE2B7FB2C8D1CC0 // 203
+data8 0x3FE2C65A6395F5F5 // 204
+data8 0x3FE2DBF557B0DF42 // 205
+data8 0x3FE2EA64C3F97654 // 206
+data8 0x3FE3001823684D73 // 207
+data8 0x3FE30E97E9A8B5CC // 208
+data8 0x3FE32463EBDD34E9 // 209
+data8 0x3FE332F4314AD795 // 210
+data8 0x3FE348D90E7464CF // 211
+data8 0x3FE35779F8C43D6D // 212
+data8 0x3FE36621961A6A99 // 213
+data8 0x3FE37C299F3C366A // 214
+data8 0x3FE38AE2171976E7 // 215
+data8 0x3FE399A157A603E7 // 216
+data8 0x3FE3AFCCFE77B9D1 // 217
+data8 0x3FE3BE9D503533B5 // 218
+data8 0x3FE3CD7480B4A8A2 // 219
+data8 0x3FE3E3C43918F76C // 220
+data8 0x3FE3F2ACB27ED6C6 // 221
+data8 0x3FE4019C2125CA93 // 222
+data8 0x3FE4181061389722 // 223
+data8 0x3FE42711518DF545 // 224
+data8 0x3FE436194E12B6BF // 225
+data8 0x3FE445285D68EA69 // 226
+data8 0x3FE45BCC464C893A // 227
+data8 0x3FE46AED21F117FC // 228
+data8 0x3FE47A1527E8A2D3 // 229
+data8 0x3FE489445EFFFCCB // 230
+data8 0x3FE4A018BCB69835 // 231
+data8 0x3FE4AF5A0C9D65D7 // 232
+data8 0x3FE4BEA2A5BDBE87 // 233
+data8 0x3FE4CDF28F10AC46 // 234
+data8 0x3FE4DD49CF994058 // 235
+data8 0x3FE4ECA86E64A683 // 236
+data8 0x3FE503C43CD8EB68 // 237
+data8 0x3FE513356667FC57 // 238
+data8 0x3FE522AE0738A3D7 // 239
+data8 0x3FE5322E26867857 // 240
+data8 0x3FE541B5CB979809 // 241
+data8 0x3FE55144FDBCBD62 // 242
+data8 0x3FE560DBC45153C6 // 243
+data8 0x3FE5707A26BB8C66 // 244
+data8 0x3FE587F60ED5B8FF // 245
+data8 0x3FE597A7977C8F31 // 246
+data8 0x3FE5A760D634BB8A // 247
+data8 0x3FE5B721D295F10E // 248
+data8 0x3FE5C6EA94431EF9 // 249
+data8 0x3FE5D6BB22EA86F5 // 250
+data8 0x3FE5E6938645D38F // 251
+data8 0x3FE5F673C61A2ED1 // 252
+data8 0x3FE6065BEA385926 // 253
+data8 0x3FE6164BFA7CC06B // 254
+data8 0x3FE62643FECF9742 // 255
+//
+// lo parts of ln(1/frcpa(1+i/256)), i=0...255
+data4 0x20E70672 // 0
+data4 0x1F60A5D0 // 1
+data4 0x218EABA0 // 2
+data4 0x21403104 // 3
+data4 0x20E9B54E // 4
+data4 0x21EE1382 // 5
+data4 0x226014E3 // 6
+data4 0x2095E5C9 // 7
+data4 0x228BA9D4 // 8
+data4 0x22932B86 // 9
+data4 0x22608A57 // 10
+data4 0x220209F3 // 11
+data4 0x212882CC // 12
+data4 0x220D46E2 // 13
+data4 0x21FA4C28 // 14
+data4 0x229E5BD9 // 15
+data4 0x228C9838 // 16
+data4 0x2311F954 // 17
+data4 0x221365DF // 18
+data4 0x22BD0CB3 // 19
+data4 0x223D4BB7 // 20
+data4 0x22A71BBE // 21
+data4 0x237DB2FA // 22
+data4 0x23194C9D // 23
+data4 0x22EC639E // 24
+data4 0x2367E669 // 25
+data4 0x232E1D5F // 26
+data4 0x234A639B // 27
+data4 0x2365C0E0 // 28
+data4 0x234646C1 // 29
+data4 0x220CBF9C // 30
+data4 0x22A00FD4 // 31
+data4 0x2306A3F2 // 32
+data4 0x23745A9B // 33
+data4 0x2398D756 // 34
+data4 0x23DD0B6A // 35
+data4 0x23DE338B // 36
+data4 0x23A222DF // 37
+data4 0x223164F8 // 38
+data4 0x23B4E87B // 39
+data4 0x23D6CCB8 // 40
+data4 0x220C2099 // 41
+data4 0x21B86B67 // 42
+data4 0x236D14F1 // 43
+data4 0x225A923F // 44
+data4 0x22748723 // 45
+data4 0x22200D13 // 46
+data4 0x23C296EA // 47
+data4 0x2302AC38 // 48
+data4 0x234B1996 // 49
+data4 0x2385E298 // 50
+data4 0x23175BE5 // 51
+data4 0x2193F482 // 52
+data4 0x23BFEA90 // 53
+data4 0x23D70A0C // 54
+data4 0x231CF30A // 55
+data4 0x235D9E90 // 56
+data4 0x221AD0CB // 57
+data4 0x22FAA08B // 58
+data4 0x23D29A87 // 59
+data4 0x20C4B2FE // 60
+data4 0x2381B8B7 // 61
+data4 0x23F8D9FC // 62
+data4 0x23EAAE7B // 63
+data4 0x2329E8AA // 64
+data4 0x23EC0322 // 65
+data4 0x2357FDCB // 66
+data4 0x2392A9AD // 67
+data4 0x22113B02 // 68
+data4 0x22DEE901 // 69
+data4 0x236A6D14 // 70
+data4 0x2371D33E // 71
+data4 0x2146F005 // 72
+data4 0x23230B06 // 73
+data4 0x22F1C77D // 74
+data4 0x23A89FA3 // 75
+data4 0x231D1241 // 76
+data4 0x244DA96C // 77
+data4 0x23ECBB7D // 78
+data4 0x223E42B4 // 79
+data4 0x23801BC9 // 80
+data4 0x23573263 // 81
+data4 0x227C1158 // 82
+data4 0x237BD749 // 83
+data4 0x21DDBAE9 // 84
+data4 0x23401735 // 85
+data4 0x241D9DEE // 86
+data4 0x23BC88CB // 87
+data4 0x2396D5F1 // 88
+data4 0x23FC89CF // 89
+data4 0x2414F9A2 // 90
+data4 0x2474A0F5 // 91
+data4 0x24354B60 // 92
+data4 0x23C1EB40 // 93
+data4 0x2306DD92 // 94
+data4 0x24353B6B // 95
+data4 0x23CD1701 // 96
+data4 0x237C7A1C // 97
+data4 0x245793AA // 98
+data4 0x24563695 // 99
+data4 0x23C51467 // 100
+data4 0x24476B68 // 101
+data4 0x212585A9 // 102
+data4 0x247B8293 // 103
+data4 0x2446848A // 104
+data4 0x246A53F8 // 105
+data4 0x246E496D // 106
+data4 0x23ED1D36 // 107
+data4 0x2314C258 // 108
+data4 0x233244A7 // 109
+data4 0x245B7AF0 // 110
+data4 0x24247130 // 111
+data4 0x22D67B38 // 112
+data4 0x2449F620 // 113
+data4 0x23BBC8B8 // 114
+data4 0x237D3BA0 // 115
+data4 0x245E8F13 // 116
+data4 0x2435573F // 117
+data4 0x242DE666 // 118
+data4 0x2463BC10 // 119
+data4 0x2466587D // 120
+data4 0x2408144B // 121
+data4 0x2405F0E5 // 122
+data4 0x22381CFF // 123
+data4 0x24154F9B // 124
+data4 0x23A4E96E // 125
+data4 0x24052967 // 126
+data4 0x2406963F // 127
+data4 0x23F7D3CB // 128
+data4 0x2448AFF4 // 129
+data4 0x24657A21 // 130
+data4 0x22FBC230 // 131
+data4 0x243C8DEA // 132
+data4 0x225DC4B7 // 133
+data4 0x23496EBF // 134
+data4 0x237C2B2B // 135
+data4 0x23A4A5B1 // 136
+data4 0x2394E9D1 // 137
+data4 0x244BC950 // 138
+data4 0x23C7448F // 139
+data4 0x2404A1AD // 140
+data4 0x246511D5 // 141
+data4 0x24246526 // 142
+data4 0x23111F57 // 143
+data4 0x22868951 // 144
+data4 0x243EB77F // 145
+data4 0x239F3DFF // 146
+data4 0x23089666 // 147
+data4 0x23EBFA6A // 148
+data4 0x23C51312 // 149
+data4 0x23E1DD5E // 150
+data4 0x232C0944 // 151
+data4 0x246A741F // 152
+data4 0x2414DF8D // 153
+data4 0x247B5546 // 154
+data4 0x2415C980 // 155
+data4 0x24324ABD // 156
+data4 0x234EB5E5 // 157
+data4 0x2465E43E // 158
+data4 0x242840D1 // 159
+data4 0x24444057 // 160
+data4 0x245E56F0 // 161
+data4 0x21AE30F8 // 162
+data4 0x23FB3283 // 163
+data4 0x247A4D07 // 164
+data4 0x22AE314D // 165
+data4 0x246B7727 // 166
+data4 0x24EAD526 // 167
+data4 0x24B41DC9 // 168
+data4 0x24EE8062 // 169
+data4 0x24A0C7C4 // 170
+data4 0x24E8DA67 // 171
+data4 0x231120F7 // 172
+data4 0x24401FFB // 173
+data4 0x2412DD09 // 174
+data4 0x248C131A // 175
+data4 0x24C0A7CE // 176
+data4 0x243DD4C8 // 177
+data4 0x24457FEB // 178
+data4 0x24DEEFBB // 179
+data4 0x243C70AE // 180
+data4 0x23E7A6FA // 181
+data4 0x24C2D311 // 182
+data4 0x23026255 // 183
+data4 0x2437C9B9 // 184
+data4 0x246BA847 // 185
+data4 0x2420B448 // 186
+data4 0x24C4CF5A // 187
+data4 0x242C4981 // 188
+data4 0x24DE1525 // 189
+data4 0x24F5CC33 // 190
+data4 0x235A85DA // 191
+data4 0x24A0B64F // 192
+data4 0x244BA0A4 // 193
+data4 0x24AAF30A // 194
+data4 0x244C86F9 // 195
+data4 0x246D5B82 // 196
+data4 0x24529347 // 197
+data4 0x240DD008 // 198
+data4 0x24E98790 // 199
+data4 0x2489B0CE // 200
+data4 0x22BC29AC // 201
+data4 0x23F37C7A // 202
+data4 0x24987FE8 // 203
+data4 0x22AFE20B // 204
+data4 0x24C8D7C2 // 205
+data4 0x24B28B7D // 206
+data4 0x23B6B271 // 207
+data4 0x24C77CB6 // 208
+data4 0x24EF1DCA // 209
+data4 0x24A4F0AC // 210
+data4 0x24CF113E // 211
+data4 0x2496BBAB // 212
+data4 0x23C7CC8A // 213
+data4 0x23AE3961 // 214
+data4 0x2410A895 // 215
+data4 0x23CE3114 // 216
+data4 0x2308247D // 217
+data4 0x240045E9 // 218
+data4 0x24974F60 // 219
+data4 0x242CB39F // 220
+data4 0x24AB8D69 // 221
+data4 0x23436788 // 222
+data4 0x24305E9E // 223
+data4 0x243E71A9 // 224
+data4 0x23C2A6B3 // 225
+data4 0x23FFE6CF // 226
+data4 0x2322D801 // 227
+data4 0x24515F21 // 228
+data4 0x2412A0D6 // 229
+data4 0x24E60D44 // 230
+data4 0x240D9251 // 231
+data4 0x247076E2 // 232
+data4 0x229B101B // 233
+data4 0x247B12DE // 234
+data4 0x244B9127 // 235
+data4 0x2499EC42 // 236
+data4 0x21FC3963 // 237
+data4 0x23E53266 // 238
+data4 0x24CE102D // 239
+data4 0x23CC45D2 // 240
+data4 0x2333171D // 241
+data4 0x246B3533 // 242
+data4 0x24931129 // 243
+data4 0x24405FFA // 244
+data4 0x24CF464D // 245
+data4 0x237095CD // 246
+data4 0x24F86CBD // 247
+data4 0x24E2D84B // 248
+data4 0x21ACBB44 // 249
+data4 0x24F43A8C // 250
+data4 0x249DB931 // 251
+data4 0x24A385EF // 252
+data4 0x238B1279 // 253
+data4 0x2436213E // 254
+data4 0x24F18A3B // 255
+LOCAL_OBJECT_END(log_data)
+
+
+LOCAL_OBJECT_START(log10_data)
+// coefficients of polynoimal approximation
+data8 0x3FC2494104381A8E // A7
+data8 0xBFC5556D556BBB69 // A6
+//
+// two parts of ln(2)/ln(10)
+data8 0x3FD3441350900000, 0x3DCEF3FDE623E256
+//
+data8 0xDE5BD8A937287195,0x3FFD // 1/ln(10)
+//
+data8 0x3FC999999988B5E9 // A5
+data8 0xBFCFFFFFFFF6FFF5 // A4
+//
+// Hi parts of ln(1/frcpa(1+i/256))/ln(10), i=0...255
+data8 0x3F4BD27045BFD024 // 0
+data8 0x3F64E84E793A474A // 1
+data8 0x3F7175085AB85FF0 // 2
+data8 0x3F787CFF9D9147A5 // 3
+data8 0x3F7EA9D372B89FC8 // 4
+data8 0x3F82DF9D95DA961C // 5
+data8 0x3F866DF172D6372B // 6
+data8 0x3F898D79EF5EEDEF // 7
+data8 0x3F8D22ADF3F9579C // 8
+data8 0x3F9024231D30C398 // 9
+data8 0x3F91F23A98897D49 // 10
+data8 0x3F93881A7B818F9E // 11
+data8 0x3F951F6E1E759E35 // 12
+data8 0x3F96F2BCE7ADC5B4 // 13
+data8 0x3F988D362CDF359E // 14
+data8 0x3F9A292BAF010981 // 15
+data8 0x3F9BC6A03117EB97 // 16
+data8 0x3F9D65967DE3AB08 // 17
+data8 0x3F9F061167FC31E7 // 18
+data8 0x3FA05409E4F7819B // 19
+data8 0x3FA125D0432EA20D // 20
+data8 0x3FA1F85D440D299B // 21
+data8 0x3FA2AD755749617C // 22
+data8 0x3FA381772A00E603 // 23
+data8 0x3FA45643E165A70A // 24
+data8 0x3FA52BDD034475B8 // 25
+data8 0x3FA5E3966B7E9295 // 26
+data8 0x3FA6BAAF47C5B244 // 27
+data8 0x3FA773B3E8C4F3C7 // 28
+data8 0x3FA84C51EBEE8D15 // 29
+data8 0x3FA906A6786FC1CA // 30
+data8 0x3FA9C197ABF00DD6 // 31
+data8 0x3FAA9C78712191F7 // 32
+data8 0x3FAB58C09C8D637C // 33
+data8 0x3FAC15A8BCDD7B7E // 34
+data8 0x3FACD331E2C2967B // 35
+data8 0x3FADB11ED766ABF4 // 36
+data8 0x3FAE70089346A9E6 // 37
+data8 0x3FAF2F96C6754AED // 38
+data8 0x3FAFEFCA8D451FD5 // 39
+data8 0x3FB0585283764177 // 40
+data8 0x3FB0B913AAC7D3A6 // 41
+data8 0x3FB11A294F2569F5 // 42
+data8 0x3FB16B51A2696890 // 43
+data8 0x3FB1CD03ADACC8BD // 44
+data8 0x3FB22F0BDD7745F5 // 45
+data8 0x3FB2916ACA38D1E7 // 46
+data8 0x3FB2F4210DF7663C // 47
+data8 0x3FB346A6C3C49065 // 48
+data8 0x3FB3A9FEBC605409 // 49
+data8 0x3FB3FD0C10A3AA54 // 50
+data8 0x3FB46107D3540A81 // 51
+data8 0x3FB4C55DD16967FE // 52
+data8 0x3FB51940330C000A // 53
+data8 0x3FB56D620EE7115E // 54
+data8 0x3FB5D2ABCF26178D // 55
+data8 0x3FB6275AA5DEBF81 // 56
+data8 0x3FB68D4EAF26D7EE // 57
+data8 0x3FB6E28C5C54A28D // 58
+data8 0x3FB7380B9665B7C7 // 59
+data8 0x3FB78DCCC278E85B // 60
+data8 0x3FB7F50C2CF25579 // 61
+data8 0x3FB84B5FD5EAEFD7 // 62
+data8 0x3FB8A1F6BAB2B226 // 63
+data8 0x3FB8F8D144557BDF // 64
+data8 0x3FB94FEFDCD61D92 // 65
+data8 0x3FB9A752EF316149 // 66
+data8 0x3FB9FEFAE7611EDF // 67
+data8 0x3FBA56E8325F5C86 // 68
+data8 0x3FBAAF1B3E297BB3 // 69
+data8 0x3FBB079479C372AC // 70
+data8 0x3FBB6054553B12F7 // 71
+data8 0x3FBBB95B41AB5CE5 // 72
+data8 0x3FBC12A9B13FE079 // 73
+data8 0x3FBC6C4017382BEA // 74
+data8 0x3FBCB41FBA42686C // 75
+data8 0x3FBD0E38CE73393E // 76
+data8 0x3FBD689B2193F132 // 77
+data8 0x3FBDC3472B1D285F // 78
+data8 0x3FBE0C06300D528B // 79
+data8 0x3FBE6738190E394B // 80
+data8 0x3FBEC2B50D208D9A // 81
+data8 0x3FBF0C1C2B936827 // 82
+data8 0x3FBF68216C9CC726 // 83
+data8 0x3FBFB1F6381856F3 // 84
+data8 0x3FC00742AF4CE5F8 // 85
+data8 0x3FC02C64906512D2 // 86
+data8 0x3FC05AF1E63E03B4 // 87
+data8 0x3FC0804BEA723AA8 // 88
+data8 0x3FC0AF1FD6711526 // 89
+data8 0x3FC0D4B2A88059FF // 90
+data8 0x3FC0FA5EF136A06C // 91
+data8 0x3FC1299A4FB3E305 // 92
+data8 0x3FC14F806253C3EC // 93
+data8 0x3FC175805D1587C1 // 94
+data8 0x3FC19B9A637CA294 // 95
+data8 0x3FC1CB5FC26EDE16 // 96
+data8 0x3FC1F1B4E65F2590 // 97
+data8 0x3FC218248B5DC3E5 // 98
+data8 0x3FC23EAED62ADC76 // 99
+data8 0x3FC26553EBD337BC // 100
+data8 0x3FC28C13F1B118FF // 101
+data8 0x3FC2BCAA14381385 // 102
+data8 0x3FC2E3A740B7800E // 103
+data8 0x3FC30ABFD8F333B6 // 104
+data8 0x3FC331F403985096 // 105
+data8 0x3FC35943E7A6068F // 106
+data8 0x3FC380AFAC6E7C07 // 107
+data8 0x3FC3A8377997B9E5 // 108
+data8 0x3FC3CFDB771C9ADB // 109
+data8 0x3FC3EDA90D39A5DE // 110
+data8 0x3FC4157EC09505CC // 111
+data8 0x3FC43D7113FB04C0 // 112
+data8 0x3FC4658030AD1CCE // 113
+data8 0x3FC48DAC404638F5 // 114
+data8 0x3FC4B5F56CBBB869 // 115
+data8 0x3FC4DE5BE05E7582 // 116
+data8 0x3FC4FCBC0776FD85 // 117
+data8 0x3FC525561E9256EE // 118
+data8 0x3FC54E0DF3198865 // 119
+data8 0x3FC56CAB7112BDE2 // 120
+data8 0x3FC59597BA735B15 // 121
+data8 0x3FC5BEA23A506FD9 // 122
+data8 0x3FC5DD7E08DE382E // 123
+data8 0x3FC606BDD3F92355 // 124
+data8 0x3FC6301C518A501E // 125
+data8 0x3FC64F3770618915 // 126
+data8 0x3FC678CC14C1E2D7 // 127
+data8 0x3FC6981005ED2947 // 128
+data8 0x3FC6C1DB5F9BB335 // 129
+data8 0x3FC6E1488ECD2880 // 130
+data8 0x3FC70B4B2E7E41B8 // 131
+data8 0x3FC72AE209146BF8 // 132
+data8 0x3FC7551C81BD8DCF // 133
+data8 0x3FC774DD76CC43BD // 134
+data8 0x3FC79F505DB00E88 // 135
+data8 0x3FC7BF3BDE099F30 // 136
+data8 0x3FC7E9E7CAC437F8 // 137
+data8 0x3FC809FE4902D00D // 138
+data8 0x3FC82A2757995CBD // 139
+data8 0x3FC85525C625E098 // 140
+data8 0x3FC8757A79831887 // 141
+data8 0x3FC895E2058D8E02 // 142
+data8 0x3FC8C13437695531 // 143
+data8 0x3FC8E1C812EF32BE // 144
+data8 0x3FC9026F112197E8 // 145
+data8 0x3FC923294888880A // 146
+data8 0x3FC94EEA4B8334F2 // 147
+data8 0x3FC96FD1B639FC09 // 148
+data8 0x3FC990CCA66229AB // 149
+data8 0x3FC9B1DB33334842 // 150
+data8 0x3FC9D2FD740E6606 // 151
+data8 0x3FC9FF49EEDCB553 // 152
+data8 0x3FCA209A84FBCFF7 // 153
+data8 0x3FCA41FF1E43F02B // 154
+data8 0x3FCA6377D2CE9377 // 155
+data8 0x3FCA8504BAE0D9F5 // 156
+data8 0x3FCAA6A5EEEBEFE2 // 157
+data8 0x3FCAC85B878D7878 // 158
+data8 0x3FCAEA259D8FFA0B // 159
+data8 0x3FCB0C0449EB4B6A // 160
+data8 0x3FCB2DF7A5C50299 // 161
+data8 0x3FCB4FFFCA70E4D1 // 162
+data8 0x3FCB721CD17157E2 // 163
+data8 0x3FCB944ED477D4EC // 164
+data8 0x3FCBB695ED655C7C // 165
+data8 0x3FCBD8F2364AEC0F // 166
+data8 0x3FCBFB63C969F4FF // 167
+data8 0x3FCC1DEAC134D4E9 // 168
+data8 0x3FCC4087384F4F80 // 169
+data8 0x3FCC6339498F09E1 // 170
+data8 0x3FCC86010FFC076B // 171
+data8 0x3FCC9D3D065C5B41 // 172
+data8 0x3FCCC029375BA079 // 173
+data8 0x3FCCE32B66978BA4 // 174
+data8 0x3FCD0643AFD51404 // 175
+data8 0x3FCD29722F0DEA45 // 176
+data8 0x3FCD4CB70070FE43 // 177
+data8 0x3FCD6446AB3F8C95 // 178
+data8 0x3FCD87B0EF71DB44 // 179
+data8 0x3FCDAB31D1FE99A6 // 180
+data8 0x3FCDCEC96FDC888E // 181
+data8 0x3FCDE69088763579 // 182
+data8 0x3FCE0A4E4A25C1FF // 183
+data8 0x3FCE2E2315755E32 // 184
+data8 0x3FCE461322D1648A // 185
+data8 0x3FCE6A0E95C7787B // 186
+data8 0x3FCE8E216243DD60 // 187
+data8 0x3FCEA63AF26E007C // 188
+data8 0x3FCECA74ED15E0B7 // 189
+data8 0x3FCEEEC692CCD259 // 190
+data8 0x3FCF070A36B8D9C0 // 191
+data8 0x3FCF2B8393E34A2D // 192
+data8 0x3FCF5014EF538A5A // 193
+data8 0x3FCF68833AF1B17F // 194
+data8 0x3FCF8D3CD9F3F04E // 195
+data8 0x3FCFA5C61ADD93E9 // 196
+data8 0x3FCFCAA8567EBA79 // 197
+data8 0x3FCFE34CC8743DD8 // 198
+data8 0x3FD0042BFD74F519 // 199
+data8 0x3FD016BDF6A18017 // 200
+data8 0x3FD023262F907322 // 201
+data8 0x3FD035CCED8D32A1 // 202
+data8 0x3FD042430E869FFB // 203
+data8 0x3FD04EBEC842B2DF // 204
+data8 0x3FD06182E84FD4AB // 205
+data8 0x3FD06E0CB609D383 // 206
+data8 0x3FD080E60BEC8F12 // 207
+data8 0x3FD08D7E0D894735 // 208
+data8 0x3FD0A06CC96A2055 // 209
+data8 0x3FD0AD131F3B3C55 // 210
+data8 0x3FD0C01771E775FB // 211
+data8 0x3FD0CCCC3CAD6F4B // 212
+data8 0x3FD0D986D91A34A8 // 213
+data8 0x3FD0ECA9B8861A2D // 214
+data8 0x3FD0F972F87FF3D5 // 215
+data8 0x3FD106421CF0E5F7 // 216
+data8 0x3FD11983EBE28A9C // 217
+data8 0x3FD12661E35B7859 // 218
+data8 0x3FD13345D2779D3B // 219
+data8 0x3FD146A6F597283A // 220
+data8 0x3FD15399E81EA83D // 221
+data8 0x3FD16092E5D3A9A6 // 222
+data8 0x3FD17413C3B7AB5D // 223
+data8 0x3FD1811BF629D6FA // 224
+data8 0x3FD18E2A47B46685 // 225
+data8 0x3FD19B3EBE1A4418 // 226
+data8 0x3FD1AEE9017CB450 // 227
+data8 0x3FD1BC0CED7134E1 // 228
+data8 0x3FD1C93712ABC7FF // 229
+data8 0x3FD1D66777147D3E // 230
+data8 0x3FD1EA3BD1286E1C // 231
+data8 0x3FD1F77BED932C4C // 232
+data8 0x3FD204C25E1B031F // 233
+data8 0x3FD2120F28CE69B1 // 234
+data8 0x3FD21F6253C48D00 // 235
+data8 0x3FD22CBBE51D60A9 // 236
+data8 0x3FD240CE4C975444 // 237
+data8 0x3FD24E37F8ECDAE7 // 238
+data8 0x3FD25BA8215AF7FC // 239
+data8 0x3FD2691ECC29F042 // 240
+data8 0x3FD2769BFFAB2DFF // 241
+data8 0x3FD2841FC23952C9 // 242
+data8 0x3FD291AA1A384978 // 243
+data8 0x3FD29F3B0E15584A // 244
+data8 0x3FD2B3A0EE479DF7 // 245
+data8 0x3FD2C142842C09E5 // 246
+data8 0x3FD2CEEACCB7BD6C // 247
+data8 0x3FD2DC99CE82FF20 // 248
+data8 0x3FD2EA4F902FD7D9 // 249
+data8 0x3FD2F80C186A25FC // 250
+data8 0x3FD305CF6DE7B0F6 // 251
+data8 0x3FD3139997683CE7 // 252
+data8 0x3FD3216A9BB59E7C // 253
+data8 0x3FD32F4281A3CEFE // 254
+data8 0x3FD33D2150110091 // 255
+//
+// Lo parts of ln(1/frcpa(1+i/256))/ln(10), i=0...255
+data4 0x1FB0EB5A // 0
+data4 0x206E5EE3 // 1
+data4 0x208F3609 // 2
+data4 0x2070EB03 // 3
+data4 0x1F314BAE // 4
+data4 0x217A889D // 5
+data4 0x21E63650 // 6
+data4 0x21C2F4A3 // 7
+data4 0x2192A10C // 8
+data4 0x1F84B73E // 9
+data4 0x2243FBCA // 10
+data4 0x21BD9C51 // 11
+data4 0x213C542B // 12
+data4 0x21047386 // 13
+data4 0x21217D8F // 14
+data4 0x226791B7 // 15
+data4 0x204CCE66 // 16
+data4 0x2234CE9F // 17
+data4 0x220675E2 // 18
+data4 0x22B8E5BA // 19
+data4 0x22C12D14 // 20
+data4 0x211D41F0 // 21
+data4 0x228507F3 // 22
+data4 0x22F7274B // 23
+data4 0x22A7FDD1 // 24
+data4 0x2244A06E // 25
+data4 0x215DCE69 // 26
+data4 0x22F5C961 // 27
+data4 0x22EBEF29 // 28
+data4 0x222A2CB6 // 29
+data4 0x22B9FE00 // 30
+data4 0x22E79EB7 // 31
+data4 0x222F9607 // 32
+data4 0x2189D87F // 33
+data4 0x2236DB45 // 34
+data4 0x22ED77FB // 35
+data4 0x21CB70F0 // 36
+data4 0x21B8ACE8 // 37
+data4 0x22EC58C1 // 38
+data4 0x22CFCC1C // 39
+data4 0x2343E77A // 40
+data4 0x237FBC7F // 41
+data4 0x230D472E // 42
+data4 0x234686FB // 43
+data4 0x23770425 // 44
+data4 0x223977EC // 45
+data4 0x2345800A // 46
+data4 0x237BC351 // 47
+data4 0x23191502 // 48
+data4 0x232BAC12 // 49
+data4 0x22692421 // 50
+data4 0x234D409D // 51
+data4 0x22EC3214 // 52
+data4 0x2376C916 // 53
+data4 0x22B00DD1 // 54
+data4 0x2309D910 // 55
+data4 0x22F925FD // 56
+data4 0x22A63A7B // 57
+data4 0x2106264A // 58
+data4 0x234227F9 // 59
+data4 0x1ECB1978 // 60
+data4 0x23460A62 // 61
+data4 0x232ED4B1 // 62
+data4 0x226DDC38 // 63
+data4 0x1F101A73 // 64
+data4 0x21B1F82B // 65
+data4 0x22752F19 // 66
+data4 0x2320BC15 // 67
+data4 0x236EEC5E // 68
+data4 0x23404D3E // 69
+data4 0x2304C517 // 70
+data4 0x22F7441A // 71
+data4 0x230D3D7A // 72
+data4 0x2264A9DF // 73
+data4 0x22410CC8 // 74
+data4 0x2342CCCB // 75
+data4 0x23560BD4 // 76
+data4 0x237BBFFE // 77
+data4 0x2373A206 // 78
+data4 0x22C871B9 // 79
+data4 0x2354B70C // 80
+data4 0x232EDB33 // 81
+data4 0x235DB680 // 82
+data4 0x230EF422 // 83
+data4 0x235316CA // 84
+data4 0x22EEEE8B // 85
+data4 0x2375C88C // 86
+data4 0x235ABD21 // 87
+data4 0x23A0D232 // 88
+data4 0x23F5FFB5 // 89
+data4 0x23D3CEC8 // 90
+data4 0x22A92204 // 91
+data4 0x238C64DF // 92
+data4 0x23B82896 // 93
+data4 0x22D633B8 // 94
+data4 0x23861E93 // 95
+data4 0x23CB594B // 96
+data4 0x2330387E // 97
+data4 0x21CD4702 // 98
+data4 0x2284C505 // 99
+data4 0x23D6995C // 100
+data4 0x23F6C807 // 101
+data4 0x239CEF5C // 102
+data4 0x239442B0 // 103
+data4 0x22B35EE5 // 104
+data4 0x2391E9A4 // 105
+data4 0x23A390F5 // 106
+data4 0x2349AC9C // 107
+data4 0x23FA5535 // 108
+data4 0x21E3A46A // 109
+data4 0x23B44ABA // 110
+data4 0x23CEA8E0 // 111
+data4 0x23F647DC // 112
+data4 0x2390D1A8 // 113
+data4 0x23D0CFA2 // 114
+data4 0x236E0872 // 115
+data4 0x23B88B91 // 116
+data4 0x2283C359 // 117
+data4 0x232F647F // 118
+data4 0x23122CD7 // 119
+data4 0x232CF564 // 120
+data4 0x232630FD // 121
+data4 0x23BEE1C8 // 122
+data4 0x23B2BD30 // 123
+data4 0x2301F1C0 // 124
+data4 0x23CE4D67 // 125
+data4 0x23A353C9 // 126
+data4 0x238086E8 // 127
+data4 0x22D0D29E // 128
+data4 0x23A3B3C8 // 129
+data4 0x23F69F4B // 130
+data4 0x23EA3C21 // 131
+data4 0x23951C88 // 132
+data4 0x2372AFFC // 133
+data4 0x23A6D1A8 // 134
+data4 0x22BBBAF4 // 135
+data4 0x227FA3DD // 136
+data4 0x23804D9B // 137
+data4 0x232D771F // 138
+data4 0x239CB57B // 139
+data4 0x2303CF34 // 140
+data4 0x22218C2A // 141
+data4 0x23991BEE // 142
+data4 0x23EB3596 // 143
+data4 0x230487FA // 144
+data4 0x2135DF4C // 145
+data4 0x2380FD2D // 146
+data4 0x23EB75E9 // 147
+data4 0x211C62C8 // 148
+data4 0x23F518F1 // 149
+data4 0x23FEF882 // 150
+data4 0x239097C7 // 151
+data4 0x223E2BDA // 152
+data4 0x23988F89 // 153
+data4 0x22E4A4AD // 154
+data4 0x23F03D9C // 155
+data4 0x23F5018F // 156
+data4 0x23E1E250 // 157
+data4 0x23FD3D90 // 158
+data4 0x22DEE2FF // 159
+data4 0x238342AB // 160
+data4 0x22E6736F // 161
+data4 0x233AFC28 // 162
+data4 0x2395F661 // 163
+data4 0x23D8B991 // 164
+data4 0x23CD58D5 // 165
+data4 0x21941FD6 // 166
+data4 0x23352915 // 167
+data4 0x235D09EE // 168
+data4 0x22DC7EF9 // 169
+data4 0x238BC9F3 // 170
+data4 0x2397DF8F // 171
+data4 0x2380A7BB // 172
+data4 0x23EFF48C // 173
+data4 0x21E67408 // 174
+data4 0x236420F7 // 175
+data4 0x22C8DFB5 // 176
+data4 0x239B5D35 // 177
+data4 0x23BDC09D // 178
+data4 0x239E822C // 179
+data4 0x23984F0A // 180
+data4 0x23EF2119 // 181
+data4 0x23F738B8 // 182
+data4 0x23B66187 // 183
+data4 0x23B06AD7 // 184
+data4 0x2369140F // 185
+data4 0x218DACE6 // 186
+data4 0x21DF23F1 // 187
+data4 0x235D8B34 // 188
+data4 0x23460333 // 189
+data4 0x23F11D62 // 190
+data4 0x23C37147 // 191
+data4 0x22B2AE2A // 192
+data4 0x23949211 // 193
+data4 0x23B69799 // 194
+data4 0x23DBEC75 // 195
+data4 0x229A6FB3 // 196
+data4 0x23FC6C60 // 197
+data4 0x22D01FFC // 198
+data4 0x235985F0 // 199
+data4 0x23F7ECA5 // 200
+data4 0x23F924D3 // 201
+data4 0x2381B92F // 202
+data4 0x243A0FBE // 203
+data4 0x24712D72 // 204
+data4 0x24594E2F // 205
+data4 0x220CD12A // 206
+data4 0x23D87FB0 // 207
+data4 0x2338288A // 208
+data4 0x242BB2CC // 209
+data4 0x220F6265 // 210
+data4 0x23BB7FE3 // 211
+data4 0x2301C0A2 // 212
+data4 0x246709AB // 213
+data4 0x23A619E2 // 214
+data4 0x24030E3B // 215
+data4 0x233C36CC // 216
+data4 0x241AAB77 // 217
+data4 0x243D41A3 // 218
+data4 0x23834A60 // 219
+data4 0x236AC7BF // 220
+data4 0x23B6D597 // 221
+data4 0x210E9474 // 222
+data4 0x242156E6 // 223
+data4 0x243A1D68 // 224
+data4 0x2472187C // 225
+data4 0x23834E86 // 226
+data4 0x23CA0807 // 227
+data4 0x24745887 // 228
+data4 0x23E2B0E1 // 229
+data4 0x2421EB67 // 230
+data4 0x23DCC64E // 231
+data4 0x22DF71D1 // 232
+data4 0x238D5ECA // 233
+data4 0x23CDE86F // 234
+data4 0x24131F45 // 235
+data4 0x240FE4E2 // 236
+data4 0x2317731A // 237
+data4 0x24015C76 // 238
+data4 0x2301A4E8 // 239
+data4 0x23E52A6D // 240
+data4 0x247D8A0D // 241
+data4 0x23DFEEBA // 242
+data4 0x22139FEC // 243
+data4 0x2454A112 // 244
+data4 0x23C21E28 // 245
+data4 0x2460D813 // 246
+data4 0x24258924 // 247
+data4 0x2425680F // 248
+data4 0x24194D1E // 249
+data4 0x24242C2F // 250
+data4 0x243DDE5E // 251
+data4 0x23DEB388 // 252
+data4 0x23E0E6EB // 253
+data4 0x24393E74 // 254
+data4 0x241B1863 // 255
+LOCAL_OBJECT_END(log10_data)
+
+
+
+// Code
+//==============================================================
 
-// log10 has p7 true, p8 false
-// log   has p8 true, p7 false
+// log   has p13 true, p14 false
+// log10 has p14 true, p13 false
 
 .section .text
-.proc  log10#
-.align 32
-
-log10:
-#ifdef _LIBC
-.global __ieee754_log10
-.type __ieee754_log10,@function
-__ieee754_log10:
-#endif
+GLOBAL_IEEE754_ENTRY(log10)
 { .mfi
-     alloc     r32=ar.pfs,1,15,4,0                    
-     frcpa.s1  log_C,p9 = f1,f8                 
-     cmp.eq.unc     p7,p8         = r0, r0 
-}
-{ .mfb
-     addl           log_AD_1   = @ltoff(log_table_1), gp
-     fnorm.s1 log_NORM_f8 = f8 
-     br.sptk        L(LOG_LOG10_X) 
+      getf.exp      GR_Exp = f8 // if x is unorm then must recompute
+      frcpa.s1      FR_RcpX,p0 = f1,f8
+      mov           GR_05 = 0xFFFE // biased exponent of A2=0.5
 }
-;;
-
-.endp log10
-ASM_SIZE_DIRECTIVE(log10)
-ASM_SIZE_DIRECTIVE(__ieee754_log10)
-
-
-.section .text
-.proc  log#
-.align 32
-log: 
-#ifdef _LIBC
-.global __ieee754_log
-.type __ieee754_log,@function
-__ieee754_log:
-#endif
+{ .mlx
+      addl          GR_ad_1 = @ltoff(log10_data),gp
+      movl          GR_A3 = 0x3fd5555555555557 // double precision memory
+                                               // representation of A3
+};;
 
 { .mfi
-     alloc     r32=ar.pfs,1,15,4,0                    
-     frcpa.s1  log_C,p9 = f1,f8                 
-     cmp.eq.unc     p8,p7         = r0, r0 
+      getf.sig      GR_Sig = f8 // get significand to calculate index
+      fclass.m      p8,p0 = f8,9 // is x positive unorm?
+      mov           GR_xorg = 0x3fefe // double precision memory msb of 255/256
 }
-{ .mfi
-     addl           log_AD_1   = @ltoff(log_table_1), gp
-     fnorm.s1 log_NORM_f8 = f8 
-     nop.i 999
-}
-;;
-
-L(LOG_LOG10_X):
+{ .mib
+      ld8           GR_ad_1 = [GR_ad_1]
+      cmp.eq        p14,p13 = r0,r0 // set p14 to 1 for log10
+      br.cond.sptk  log_log10_common
+};;
+GLOBAL_IEEE754_END(log10)
 
+GLOBAL_IEEE754_ENTRY(log)
 { .mfi
-     ld8 log_AD_1 = [log_AD_1]
-     fclass.m.unc p15,p0 = f8, 0x0b            // Test for x=unorm
-     mov        log_GR_fff9 = 0xfff9
-}
-{ .mfi
-     mov       log_GR_half_exp = 0x0fffe
-     fms.s1     log_w = f8,f1,f1              
-     mov       log_GR_exp_17_ones = 0x1ffff
-}
-;;
-
-{ .mmi
-     getf.exp   log_GR_signexp_f8 = f8 // If x unorm then must recompute
-     setf.exp   log_half = log_GR_half_exp  // Form 0.5 = -Q1
-     nop.i 999
-}
-;;
-
-{ .mmb
-     adds log_AD_2 = 0x30, log_AD_1
-     mov       log_GR_exp_16_ones = 0xffff
-(p15) br.cond.spnt L(LOG_DENORM)     
-}
-;;
-
-L(LOG_COMMON):
-{.mfi
-     ldfpd      log_P5,log_P4 = [log_AD_1],16           
-     fclass.m.unc p6,p0 = f8, 0xc3             // Test for x=nan
-     and        log_GR_exp_f8 = log_GR_signexp_f8, log_GR_exp_17_ones  
+      getf.exp      GR_Exp = f8 // if x is unorm then must recompute
+      frcpa.s1      FR_RcpX,p0 = f1,f8
+      mov           GR_05 = 0xfffe
 }
-{.mfi
-     ldfpd      log_P3,log_P2 = [log_AD_2],16           
-     nop.f 999
-     nop.i 999
-}
-;;
+{ .mlx
+      addl          GR_ad_1 = @ltoff(log_data),gp
+      movl          GR_A3 = 0x3fd5555555555557 // double precision memory
+                                               // representation of A3
+};;
 
 { .mfi
-     ldfpd      log_Q8,log_Q7 = [log_AD_1],16           
-     fclass.m.unc p11,p0 = f8, 0x21            // Test for x=+inf
-     sub       log_GR_true_exp_f8 = log_GR_exp_f8, log_GR_exp_16_ones 
+      getf.sig      GR_Sig = f8 // get significand to calculate index
+      fclass.m      p8,p0 = f8,9 // is x positive unorm?
+      mov           GR_xorg = 0x3fefe // double precision memory msb of 255/256
 }
 { .mfi
-     ldfpd      log_Q6,log_Q5 = [log_AD_2],16           
-     nop.f 999
-     nop.i 999
-}
-;;
-
+      ld8           GR_ad_1 = [GR_ad_1]
+      nop.f         0
+      cmp.eq        p13,p14 = r0,r0 // set p13 to 1 for log
+};;
 
+log_log10_common:
 { .mfi
-     ldfpd      log_Q4,log_Q3 = [log_AD_1],16           
-     fma.s1     log_wsq     = log_w, log_w, f0
-     nop.i 999
-}
-{ .mfb
-     ldfpd      log_Q2,log_Q1 = [log_AD_2],16           
-(p6) fma.d.s0   f8 = f8,f1,f0      // quietize nan result if x=nan
-(p6) br.ret.spnt b0                // Exit for x=nan
+      getf.d        GR_x = f8 // double precision memory representation of x
+      fclass.m      p9,p0 = f8,0x1E1 // is x NaN, NaT or +Inf?
+      dep.z         GR_dx = 3, 44, 2 // Create 0x0000300000000000
+                                     // Difference between double precision
+                                     // memory representations of 257/256 and
+                                     // 255/256
 }
-;;
-
-
 { .mfi
-     setf.sig  log_int_Nfloat = log_GR_true_exp_f8
-     fcmp.eq.s1 p10,p0 = log_NORM_f8, f1  // Test for x=+1.0
-     nop.i 999
-}
-{ .mfb
-     nop.m 999
-     fms.s1     log_r = log_C,f8,f1
-(p11) br.ret.spnt b0               // Exit for x=+inf
-}
-;;
-
-
-{ .mmf
-     getf.sig   log_GR_significand_f8 = log_NORM_f8 
-     ldfe       log_inv_ln10 = [log_AD_2],16      
-     fclass.m.unc p6,p0 = f8, 0x07        // Test for x=0
-}
-;;
-
-
-{ .mfb
-     nop.m 999
-(p10) fmerge.s f8 = f0, f0
-(p10) br.ret.spnt b0                // Exit for x=1.0
-;;
-}
-
+      setf.exp      FR_A2 = GR_05 // create A2
+      fnorm.s1      FR_NormX = f8
+      mov           GR_bias = 0xffff
+};;
+  
 { .mfi
-     getf.exp   log_GR_signexp_w = log_w
-     fclass.m.unc p12,p0 = f8, 0x3a       // Test for x neg norm, unorm, inf
-     shl        log_GR_index = log_GR_significand_f8,1            
+      setf.d        FR_A3 = GR_A3 // create A3
+      fcmp.eq.s1    p12,p0 = f1,f8 // is x equal to 1.0?
+      dep.z         GR_xorg = GR_xorg, 44, 19 // 0x3fefe00000000000 
+                                              // double precision memory
+                                              // representation of 255/256
 }
-;;
+{ .mib
+      add           GR_ad_2 = 0x30,GR_ad_1 // address of A5,A4
+      add           GR_ad_3 = 0x840,GR_ad_1 // address of ln(1/frcpa) lo parts
+(p8)  br.cond.spnt  log_positive_unorms
+};;
 
+log_core:
 { .mfi
-     ldfe       log_log2 = [log_AD_2],16   
-     fnma.s1    log_rp_q10 = log_half, log_wsq, log_w
-     shr.u     log_GR_index = log_GR_index,56
+      ldfpd         FR_A7,FR_A6 = [GR_ad_1],16
+      fclass.m      p10,p0 = f8,0x3A // is x < 0?
+      sub           GR_Nm1 = GR_Exp,GR_05 // unbiased_exponent_of_x - 1
 }
-{ .mfb
-     nop.m 999
-     fma.s1      log_w3      = log_wsq, log_w, f0
-(p6) br.cond.spnt L(LOG_ZERO_NEG)      // Branch if x=0
-;;
-}
- 
-
 { .mfi
-     and log_GR_exp_w = log_GR_exp_17_ones, log_GR_signexp_w
-     fma.s1      log_w4      = log_wsq, log_wsq, f0
-     nop.i 999
-}
-{ .mfb
-     shladd log_AD_2 = log_GR_index,4,log_AD_2
-     fma.s1     log_rsq     = log_r, log_r, f0                   
-(p12) br.cond.spnt L(LOG_ZERO_NEG)     // Branch if x<0
-;;
-}
+      ldfpd         FR_A5,FR_A4 = [GR_ad_2],16
+(p9)  fma.d.s0      f8 = f8,f1,f0 // set V-flag
+      sub           GR_N = GR_Exp,GR_bias // unbiased_exponent_of_x
+};;
 
 { .mfi
-     ldfe       log_T = [log_AD_2]
-     fma.s1    log_rp_p4   = log_P5, log_r, log_P4
-     nop.i 999
+      setf.sig      FR_N = GR_N // copy unbiased exponent of x to significand
+      fms.s1        FR_r = FR_RcpX,f8,f1 // range reduction for |x-1|>=1/256
+      extr.u        GR_Ind = GR_Sig,55,8 // get bits from 55 to 62 as index
 }
-{ .mfi
-     nop.m 999
-     fma.s1      log_rp_p32 = log_P3, log_r, log_P2
-     nop.i 999
-;;
-}
-
+{ .mib
+      sub           GR_x = GR_x, GR_xorg // get diff between x and 255/256
+      cmp.gtu       p6, p7 = 2, GR_Nm1 // p6 true if 0.5 <= x < 2
+(p9)  br.ret.spnt   b0 // exit for NaN, NaT and +Inf
+};;
 
 { .mfi
-     nop.m 999
-     fma.s1    log_rp_q7   = log_Q8, log_w, log_Q7
-     nop.i 999
-}
-{ .mfi
-     nop.m 999
-     fma.s1    log_rp_q65  = log_Q6, log_w, log_Q5
-     nop.i 999
-;;
+      ldfpd         FR_Ln2hi,FR_Ln2lo = [GR_ad_1],16
+      fclass.m      p11,p0 = f8,0x07 // is x = 0?
+      shladd        GR_ad_3 = GR_Ind,2,GR_ad_3 // address of Tlo
 }
+{ .mib
+      shladd        GR_ad_2 = GR_Ind,3,GR_ad_2 // address of Thi
+(p6)  cmp.leu       p6, p7 = GR_x, GR_dx       // 255/256 <= x <= 257/256
+(p10) br.cond.spnt  log_negatives // jump if x is negative
+};;
 
-//    p13 <== large w log
-//    p14 <== small w log
+// p6 is true if |x-1| < 1/256
+// p7 is true if |x-1| >= 1/256
 { .mfi
-(p8) cmp.ge.unc p13,p14 = log_GR_exp_w, log_GR_fff9
-     fma.s1    log_rp_q3   = log_Q4, log_w, log_Q3
-     nop.i 999
-;;
-}
+      ldfd          FR_Thi = [GR_ad_2]
+(p6)  fms.s1        FR_r = f8,f1,f1 // range reduction for |x-1|<1/256
+      nop.i         0
+};;
 
-//    p10 <== large w log10
-//    p11 <== small w log10
-{ .mfi
-(p7) cmp.ge.unc p10,p11 = log_GR_exp_w, log_GR_fff9
-     fcvt.xf   log_Nfloat = log_int_Nfloat
-     nop.i 999
+{ .mmi
+(p7)  ldfs          FR_Tlo = [GR_ad_3]
+      nop.m         0
+      nop.i         0
 }
+{ .mfb
+      nop.m         0
+(p12) fma.d.s0      f8 = f0,f0,f0
+(p12) br.ret.spnt   b0 // exit for +1.0
+};;
 
+.pred.rel "mutex",p6,p7
 { .mfi
-     nop.m 999
-     fma.s1    log_rp_q21  = log_Q2, log_w3, log_rp_q10
-     nop.i 999 ;;
+(p6)  mov           GR_NearOne = 1
+      fms.s1        FR_A32 = FR_A3,FR_r,FR_A2 // A3*r-A2
+(p7)  mov           GR_NearOne = 0
 }
+{ .mfb
+      ldfe          FR_InvLn10 = [GR_ad_1],16
+      fma.s1        FR_r2 = FR_r,FR_r,f0 // r^2
+(p11) br.cond.spnt  log_zeroes // jump if x is zero
+};;
 
 { .mfi
-     nop.m 999
-     fma.s1    log_rcube   = log_rsq, log_r, f0
-     nop.i 999
+      nop.m         0
+      fma.s1        FR_A6 = FR_A7,FR_r,FR_A6 // A7*r+A6
+      nop.i         0
 }
 { .mfi
-     nop.m 999
-     fma.s1    log_rp_p10   = log_rsq, log_P1, log_r
-     nop.i 999
-;;
-}
+(p7)  cmp.eq.unc    p9,p0 = r0,r0  // set p9 if |x-1| > 1/256
+      fma.s1        FR_A4 = FR_A5,FR_r,FR_A4 // A5*r+A4
+(p14) cmp.eq.unc    p8,p0 = 1,GR_NearOne // set p8 to 1 if it's log10
+                                         // and argument near 1.0
+};;
 
 { .mfi
-     nop.m 999
-     fcmp.eq.s0 p6,p0 = f8,f0         // Sets flag on +denormal input
-     nop.i 999
-}
-{ .mfi
-     nop.m 999
-     fma.s1     log_rp_p2   = log_rp_p4, log_rsq, log_rp_p32
-     nop.i 999
-;;
-}
-
+(p6)  getf.exp      GR_rexp = FR_r  // Get signexp of x-1
+(p7)  fcvt.xf       FR_N = FR_N
+(p8)  cmp.eq        p9,p6 = r0,r0        // Also set p9 and clear p6 if log10 
+                                         // and arg near 1
+};;
 
 { .mfi
-     nop.m 999
-     fma.s1        log_w6     = log_w3, log_w3, f0           
-     nop.i 999 
+      nop.m         0
+      fma.s1        FR_r4 = FR_r2,FR_r2,f0 // r^4
+      nop.i         0
 }
 { .mfi
-     nop.m 999
-     fma.s1        log_Qlo     = log_rp_q7, log_wsq, log_rp_q65           
-     nop.i 999 
-}
-;;
+      nop.m         0
+(p8)  fma.s1        FR_NxLn2pT = f0,f0,f0  // Clear NxLn2pT if log10 near 1
+      nop.i         0
+};;
 
 { .mfi
-     nop.m 999
-     fma.s1        log_Qhi     = log_rp_q3, log_w4, log_rp_q21
-     nop.i 999 ;;
+      nop.m         0
+      // (A3*r+A2)*r^2+r
+      fma.s1        FR_A321 = FR_A32,FR_r2,FR_r
+      mov           GR_mask = 0x1ffff
 }
-
-
 { .mfi
-     nop.m 999
-     fma.s1        log_T_plus_Nlog2 = log_Nfloat,log_log2, log_T    
-     nop.i 999 ;;
-}
+      nop.m         0
+      // (A7*r+A6)*r^2+(A5*r+A4)
+      fma.s1        FR_A4 = FR_A6,FR_r2,FR_A4
+      nop.i         0
+};;
 
 { .mfi
-     nop.m 999
-     fma.s1        log_r2P_r = log_rp_p2, log_rcube, log_rp_p10           
-     nop.i 999 ;;
+(p6)  and           GR_rexp = GR_rexp, GR_mask
+      // N*Ln2hi+Thi
+(p7)  fma.s1        FR_NxLn2hipThi = FR_N,FR_Ln2hi,FR_Thi
+      nop.i         0
 }
+{ .mfi
+      nop.m         0
+      // N*Ln2lo+Tlo
+(p7)  fma.s1        FR_NxLn2lopTlo = FR_N,FR_Ln2lo,FR_Tlo
+      nop.i         0
+};;
 
-
-//    small w, log   <== p14
 { .mfi
-     nop.m 999
-(p14) fma.d        f8       = log_Qlo, log_w6, log_Qhi          
-     nop.i 999
+(p6)  sub           GR_rexp = GR_rexp, GR_bias // unbiased exponent of x-1
+(p9)  fma.s1        f8 = FR_A4,FR_r4,FR_A321 // P(r) if |x-1| >= 1/256 or
+                                             // log10 and |x-1| < 1/256
+      nop.i         0
 }
 { .mfi
-     nop.m 999
-     fma.s1        log_Q       = log_Qlo, log_w6, log_Qhi          
-     nop.i 999 ;;
-}
-
+      nop.m         0
+      // (N*Ln2hi+Thi) + (N*Ln2lo+Tlo)
+(p7)  fma.s1        FR_NxLn2pT = FR_NxLn2hipThi,f1,FR_NxLn2lopTlo
+      nop.i         0
+};;
 
 { .mfi
-     nop.m 999
-(p10) fma.s1        log_log10_hi     = log_T_plus_Nlog2, log_inv_ln10,f0
-     nop.i 999  ;;
-}
+(p6)  cmp.gt.unc    p10, p6 = -40, GR_rexp // Test |x-1| < 2^-40
+      nop.f         0
+      nop.i         0
+};;
 
-//    large w, log   <== p13
-.pred.rel "mutex",p13,p10
 { .mfi
-      nop.m 999
-(p13) fadd.d        f8              = log_T_plus_Nlog2, log_r2P_r 
-      nop.i 999 
-}
-{ .mfi
-      nop.m 999
-(p10) fma.s1     log_log10_lo     = log_inv_ln10, log_r2P_r,f0
-      nop.i 999  ;;
-}
-
+      nop.m         0
+(p10) fma.d.s0      f8 = FR_A32,FR_r2,FR_r // log(x) if |x-1| < 2^-40
+      nop.i         0
+};;
 
-//    small w, log10 <== p11
+.pred.rel "mutex",p6,p9
 { .mfi
-      nop.m 999
-(p11) fma.d      f8 = log_inv_ln10,log_Q,f0                         
-      nop.i 999 ;;
-}
-
-//    large w, log10 <== p10
-{ .mfb
-      nop.m 999
-(p10) fma.d      f8                = log_log10_hi, f1, log_log10_lo 
-      br.ret.sptk     b0 
-;;
+      nop.m         0
+(p6)  fma.d.s0      f8 = FR_A4,FR_r4,FR_A321 // log(x) if 2^-40 <= |x-1| < 1/256
+      nop.i         0
 }
-
-L(LOG_DENORM):
 { .mfb
-     getf.exp   log_GR_signexp_f8 = log_NORM_f8 
-     nop.f 999
-     br.cond.sptk L(LOG_COMMON)
-}
-;;
-
-L(LOG_ZERO_NEG): 
-
-// qnan snan inf norm     unorm 0 -+
-// 0    0    0   0        0     1 11      0x7
-// 0    0    1   1        1     0 10      0x3a
-
-// Save x (f8) in f10
-{ .mfi
-     nop.m 999
-     fmerge.s f10 = f8,f8 
-     nop.i 999  ;;
-}
-
-// p8 p9  means  ln(+-0)  = -inf
-// p7 p10 means  log(+-0) = -inf
-
-//    p13 means  ln(-)
-//    p14 means  log(-)
-
+      nop.m         0
+(p9)  fma.d.s0      f8 = f8,FR_InvLn10,FR_NxLn2pT // result if |x-1| >= 1/256
+                                                  // or log10 and |x-1| < 1/256
+      br.ret.sptk   b0
+};;
 
-{ .mfi
-     nop.m 999
-     fmerge.ns   f6 = f1,f1            // Form -1.0
-     nop.i 999  ;;
-}
+.align 32
+log_positive_unorms:
+{ .mmf
+      getf.exp      GR_Exp = FR_NormX // recompute biased exponent
+      getf.d        GR_x = FR_NormX   // recompute double precision x
+      fcmp.eq.s1    p12,p0 = f1,FR_NormX // is x equal to 1.0?
+};;
 
-// p9  means  ln(+-0)  = -inf
-// p10 means  log(+-0) = -inf
-// Log(+-0) = -inf 
+{ .mfb
+      getf.sig      GR_Sig = FR_NormX // recompute significand
+      fcmp.eq.s0    p15, p0 = f8, f0  // set denormal flag
+      br.cond.sptk  log_core
+};;
 
+.align 32
+log_zeroes:
 { .mfi
-	nop.m 999
-(p8)  fclass.m.unc  p9,p0 = f10, 0x07           
-	nop.i 999
+      nop.m         0
+      fmerge.s      FR_X = f8,f8 // keep input argument for subsequent
+                                 // call of __libm_error_support#
+      nop.i         0
 }
 { .mfi
-	nop.m 999
-(p7)  fclass.m.unc  p10,p0 = f10, 0x07           
-	nop.i 999 ;;
-}
-
-
-// p13  ln(-)
-// p14  log(-)
+      nop.m         0
+      fms.s1        FR_tmp = f0,f0,f1 // -1.0
+      nop.i         0
+};;
 
-// Log(-inf, -normal, -unnormal) = QNAN indefinite
-{ .mfi
-	nop.m 999
-(p8)  fclass.m.unc  p13,p0 = f10, 0x3a           
-	nop.i 999 
-}
+.pred.rel "mutex",p13,p14
 { .mfi
-	nop.m 999
-(p7)  fclass.m.unc  p14,p0 = f10, 0x3a           
-	nop.i 999  ;;
+(p13) mov           GR_TAG = 2 // set libm error in case of log
+      frcpa.s0      f8,p0 = FR_tmp,f0 // log(+/-0) should be equal to -INF.
+                                      // We can get it using frcpa because it
+                                      // sets result to the IEEE-754 mandated
+                                      // quotient of FR_tmp/f0.
+                                      // As far as FR_tmp is -1 it'll be -INF
+      nop.i         0
 }
+{ .mib
+(p14) mov           GR_TAG = 8 // set libm error in case of log10
+      nop.i         0
+      br.cond.sptk  log_libm_err
+};;
 
-
-.pred.rel "mutex",p9,p10
-{ .mfi
-(p9)     mov        log_GR_tag = 2       
-(p9)    frcpa f8,p11 = f6,f0                   
-            nop.i 999
-}
+.align 32
+log_negatives:
 { .mfi
-(p10)    mov        log_GR_tag = 8       
-(p10)   frcpa f8,p12 = f6,f0                   
-            nop.i 999 ;;
-}
+      nop.m         0
+      fmerge.s      FR_X = f8,f8
+      nop.i         0
+};;
 
 .pred.rel "mutex",p13,p14
 { .mfi
-(p13)    mov        log_GR_tag = 3       
-(p13)    frcpa f8,p11 = f0,f0                   
-            nop.i 999
-}
-{ .mfb
-(p14)    mov        log_GR_tag = 9       
-(p14)   frcpa f8,p12 = f0,f0                   
-        br.cond.sptk __libm_error_region ;; 
-}
-.endp log
-ASM_SIZE_DIRECTIVE(log)
-ASM_SIZE_DIRECTIVE(__ieee754_log)
-
-
-// Stack operations when calling error support.
-//       (1)               (2)                          (3) (call)              (4)
-//   sp   -> +          psp -> +                     psp -> +                   sp -> +
-//           |                 |                            |                         |
-//           |                 | <- GR_Y               R3 ->| <- GR_RESULT            | -> f8
-//           |                 |                            |                         |
-//           | <-GR_Y      Y2->|                       Y2 ->| <- GR_Y                 |
-//           |                 |                            |                         |
-//           |                 | <- GR_X               X1 ->|                         |
-//           |                 |                            |                         |
-//  sp-64 -> +          sp ->  +                     sp ->  +                         +
-//    save ar.pfs          save b0                                               restore gp
-//    save gp                                                                    restore ar.pfs
-
+(p13) mov           GR_TAG = 3 // set libm error in case of log
+      frcpa.s0      f8,p0 = f0,f0 // log(negatives) should be equal to NaN.
+                                  // We can get it using frcpa because it
+                                  // sets result to the IEEE-754 mandated
+                                  // quotient of f0/f0 i.e. NaN.
+(p14) mov           GR_TAG = 9 // set libm error in case of log10
+};;
 
+.align 32
+log_libm_err:
+{ .mmi
+      alloc         r32 = ar.pfs,1,4,4,0
+      mov           GR_Parameter_TAG = GR_TAG
+      nop.i         0
+};;
+GLOBAL_IEEE754_END(log)
 
-.proc __libm_error_region
-__libm_error_region:
+LOCAL_LIBM_ENTRY(__libm_error_region)
 .prologue
-
-// (1)
 { .mfi
-        add   GR_Parameter_Y=-32,sp             // Parameter 2 value
+        add   GR_Parameter_Y = -32,sp         // Parameter 2 value
         nop.f 0
 .save   ar.pfs,GR_SAVE_PFS
-        mov  GR_SAVE_PFS=ar.pfs                 // Save ar.pfs
+        mov  GR_SAVE_PFS = ar.pfs             // Save ar.pfs
 }
 { .mfi
 .fframe 64
-        add sp=-64,sp                          // Create new stack
+        add sp = -64,sp                       // Create new stack
         nop.f 0
-        mov GR_SAVE_GP=gp                      // Save gp
+        mov GR_SAVE_GP = gp                   // Save gp
 };;
 
-
-// (2)
 { .mmi
-        stfd [GR_Parameter_Y] = f1,16         // STORE Parameter 2 on stack
+        stfd [GR_Parameter_Y] = FR_Y,16       // STORE Parameter 2 on stack
         add GR_Parameter_X = 16,sp            // Parameter 1 address
 .save   b0, GR_SAVE_B0
-        mov GR_SAVE_B0=b0                     // Save b0
+        mov GR_SAVE_B0 = b0                   // Save b0
 };;
 
 .body
-// (3)
 { .mib
-        stfd [GR_Parameter_X] = f10                   // STORE Parameter 1 on stack
-        add   GR_Parameter_RESULT = 0,GR_Parameter_Y  // Parameter 3 address
-        nop.b 0                             
+        stfd [GR_Parameter_X] = FR_X          // STORE Parameter 1 on stack
+        add   GR_Parameter_RESULT = 0,GR_Parameter_Y // Parameter 3 address
+        nop.b 0
 }
 { .mib
-        stfd [GR_Parameter_Y] = f8                    // STORE Parameter 3 on stack
+        stfd [GR_Parameter_Y] = FR_RESULT     // STORE Parameter 3 on stack
         add   GR_Parameter_Y = -16,GR_Parameter_Y
-        br.call.sptk b0=__libm_error_support#         // Call error handling function
+        br.call.sptk b0=__libm_error_support# // Call error handling function
 };;
 
 { .mmi
-        nop.m 0
-        nop.m 0
         add   GR_Parameter_RESULT = 48,sp
+        nop.m 0
+        nop.i 0
 };;
 
-// (4)
 { .mmi
-        ldfd  f8 = [GR_Parameter_RESULT]       // Get return result off stack
+        ldfd  f8 = [GR_Parameter_RESULT]      // Get return result off stack
 .restore sp
-        add   sp = 64,sp                       // Restore stack pointer
-        mov   b0 = GR_SAVE_B0                  // Restore return address
+        add   sp = 64,sp                      // Restore stack pointer
+        mov   b0 = GR_SAVE_B0                 // Restore return address
 };;
+
 { .mib
-        mov   gp = GR_SAVE_GP                  // Restore gp
-        mov   ar.pfs = GR_SAVE_PFS             // Restore ar.pfs
-        br.ret.sptk     b0                     // Return
+        mov   gp = GR_SAVE_GP                 // Restore gp
+        mov   ar.pfs = GR_SAVE_PFS            // Restore ar.pfs
+        br.ret.sptk     b0                    // Return
 };;
-
-.endp __libm_error_region
-ASM_SIZE_DIRECTIVE(__libm_error_region)
-
+LOCAL_LIBM_END(__libm_error_region)
 
 .type   __libm_error_support#,@function
 .global __libm_error_support#
+
diff --git a/sysdeps/ia64/fpu/e_log2.S b/sysdeps/ia64/fpu/e_log2.S
new file mode 100644
index 0000000000..76793574ea
--- /dev/null
+++ b/sysdeps/ia64/fpu/e_log2.S
@@ -0,0 +1,710 @@
+.file "log2.s"
+
+
+// Copyright (c) 2000 - 2003, Intel Corporation
+// All rights reserved.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
+//
+// Redistribution and use in source and binary forms, with or without
+// modification, are permitted provided that the following conditions are
+// met:
+//
+// * Redistributions of source code must retain the above copyright
+// notice, this list of conditions and the following disclaimer.
+//
+// * Redistributions in binary form must reproduce the above copyright
+// notice, this list of conditions and the following disclaimer in the
+// documentation and/or other materials provided with the distribution.
+//
+// * The name of Intel Corporation may not be used to endorse or promote
+// products derived from this software without specific prior written
+// permission.
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
+// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS 
+// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, 
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY 
+// OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 
+// 
+// Intel Corporation is the author of this code, and requests that all
+// problem reports or change requests be submitted to it directly at 
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
+//
+// History
+//=================================================================
+// 09/11/00 Initial version 
+// 03/19/01 Added one polynomial coefficient, to improve accuracy
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 02/10/03 Reordered header: .section, .global, .proc, .align
+// 04/18/03 Reformatted T[255]
+//
+// API
+//=================================================================
+// double log2(double)
+//
+// Overview of operation
+//=================================================================
+// Background
+//
+// Implementation
+//
+// Let x = 2^l * m, where     m=1.b1 b2 ... b8 b9 ... b52
+//     y=frcpa(m),   r=m*y-1, f=b1 b2 .. b8 (table index)
+// j=0 if f<128; j=1 if f>=128
+// T is a table that stores log2(1/y) (in entries 1..255) rounded to
+//   double extended precision; f is used as an index; T[255]=0
+// 
+// If f=0 and b9=0, r is set to 2^{-8}* 0.b9 b10 ... b52 = m-1 (fractional part of m),
+//                  and 0 is used instead of T[0] 
+//                  (polynomial evaluation only, for m=1+r, 0<=r<2^{-9})
+// If f=255, r is set to (m-2)/2  (T[255]=0, and only polynomial evaluation is used
+//                                 for m=2(1-r'), 0<=r'<2^{-9})
+//
+// log2(x) is approximated as
+//     (l-j) + T[f] + (c1*r+c2*r^2+...+c7*r^7), if f>0
+// 
+
+
+// Special values 
+//=================================================================
+//  log2(0)=-inf, raises Divide by Zero
+//  log2(+inf)=inf
+//  log2(x)=NaN,  raises Invalid if x<0
+//
+
+
+// Registers used
+//==============================================================
+//   f6-f15, f32-f33
+//   r2-r3, r23-r30
+//   p6,p7,p8,p12
+//
+
+
+GR_SAVE_B0                    = r33
+GR_SAVE_PFS                   = r34
+GR_SAVE_GP                    = r35 // This reg. can safely be used 
+GR_SAVE_SP                    = r36
+
+GR_Parameter_X                = r37
+GR_Parameter_Y                = r38
+GR_Parameter_RESULT           = r39
+GR_Parameter_TAG              = r40
+
+FR_X             = f10
+FR_Y             = f1
+FR_RESULT        = f8
+
+
+
+
+// Data tables
+//==============================================================
+
+RODATA
+
+.align 16
+
+LOCAL_OBJECT_START(poly_coeffs)
+
+data8 0xbfd0000000000000, 0x3fc999999999999a //C_4, C_5
+data8 0xbfc5555555555555, 0x3fc2492492492492 //C_6, C_7
+data8 0xb8aa3b295c17f0bc, 0x00003fff  // C_1
+data8 0xaaaaaaaaaaaaaaab, 0x00003ffd  // C_3=1/3
+LOCAL_OBJECT_END(poly_coeffs)
+
+
+LOCAL_OBJECT_START(T_table)
+
+data8 0xb8d8752172fed131, 0x00003ff6
+data8 0x8ae7f475764180a3, 0x00003ff8
+data8 0xe7f73862e72ee35d, 0x00003ff8
+data8 0xa2b25310c941a2f2, 0x00003ff9
+data8 0xcbb91d671abb2e85, 0x00003ff9
+data8 0xfac91e34daa50483, 0x00003ff9
+data8 0x9504a5042eb495c5, 0x00003ffa
+data8 0xa9c4a0bbb580ee02, 0x00003ffa
+data8 0xc19264dc8a5e3bf9, 0x00003ffa
+data8 0xd67aa6703ebf4a77, 0x00003ffa
+data8 0xee76cac6d6e08ce7, 0x00003ffa
+data8 0x81c3f7de5434ed04, 0x00003ffb
+data8 0x8c563033a3ce01e4, 0x00003ffb
+data8 0x9876e9f09a98661c, 0x00003ffb
+data8 0xa31e0ac9b2326ce2, 0x00003ffb
+data8 0xadcf09e1fd10e4a5, 0x00003ffb
+data8 0xb889f992cf03cdb6, 0x00003ffb
+data8 0xc34eec68d901a714, 0x00003ffb
+data8 0xce1df524e9909ed9, 0x00003ffb
+data8 0xd8f726bcb0b80ad0, 0x00003ffb
+data8 0xe3da945b878e27d1, 0x00003ffb
+data8 0xeec851633b76a320, 0x00003ffb
+data8 0xf82ea4bb6101421a, 0x00003ffb
+data8 0x8197ddd7736b2864, 0x00003ffc
+data8 0x871dad4f994253f0, 0x00003ffc
+data8 0x8ca8cae3e892d549, 0x00003ffc
+data8 0x916d6e1559a4b697, 0x00003ffc
+data8 0x97028118efabeb7d, 0x00003ffc
+data8 0x9bcfbce1592ad5d5, 0x00003ffc
+data8 0xa16ee95d0da54a91, 0x00003ffc
+data8 0xa644dcf3403fa5d0, 0x00003ffc
+data8 0xab1ee14ffd659064, 0x00003ffc
+data8 0xb0cd12faebcc6757, 0x00003ffc
+data8 0xb5affdf9b3b221e0, 0x00003ffc
+data8 0xba970fb307c6ade1, 0x00003ffc
+data8 0xbf824f3a9f3e7561, 0x00003ffc
+data8 0xc544c055fde99333, 0x00003ffc
+data8 0xca39266532bdf26c, 0x00003ffc
+data8 0xcf31d124b8fa2f56, 0x00003ffc
+data8 0xd42ec7f59017b6ab, 0x00003ffc
+data8 0xd930124bea9a2c67, 0x00003ffc
+data8 0xde35b7af70e4dab3, 0x00003ffc
+data8 0xe33fbfbb8533ef03, 0x00003ffc
+data8 0xe77625911a7dcef3, 0x00003ffc
+data8 0xec884bd689cc12e3, 0x00003ffc
+data8 0xf19eeabf9e99a40a, 0x00003ffc
+data8 0xf6ba0a35e3d88051, 0x00003ffc
+data8 0xfbd9b237f7b4192b, 0x00003ffc
+data8 0x80111d4a1ee0c79e, 0x00003ffd
+data8 0x82a523a5f875bbfc, 0x00003ffd
+data8 0x84ccecdc92cd0815, 0x00003ffd
+data8 0x87653369d92c057a, 0x00003ffd
+data8 0x89ffd1742da3aa21, 0x00003ffd
+data8 0x8c2d2227d053d9b6, 0x00003ffd
+data8 0x8e5c189793f7f798, 0x00003ffd
+data8 0x90fd0a20e72f3c96, 0x00003ffd
+data8 0x932fa937301e59ae, 0x00003ffd
+data8 0x95d5061a5f0f5f7f, 0x00003ffd
+data8 0x980b5a2ef10e7023, 0x00003ffd
+data8 0x9a4361c5514d3c27, 0x00003ffd
+data8 0x9c7d1f7d541313fd, 0x00003ffd
+data8 0x9f2b16040b500d04, 0x00003ffd
+data8 0xa168a0fa9db22c98, 0x00003ffd
+data8 0xa3a7eaa1f9116293, 0x00003ffd
+data8 0xa5e8f5b4072a3d44, 0x00003ffd
+data8 0xa82bc4f11a5e88aa, 0x00003ffd
+data8 0xaa705b2001db8317, 0x00003ffd
+data8 0xacb6bb0e1e0f8005, 0x00003ffd
+data8 0xaefee78f75707221, 0x00003ffd
+data8 0xb148e37ec994dd99, 0x00003ffd
+data8 0xb394b1bdaca0bc17, 0x00003ffd
+data8 0xb5e255349707e496, 0x00003ffd
+data8 0xb831d0d2fda791cc, 0x00003ffd
+data8 0xba83278f6838ab20, 0x00003ffd
+data8 0xbcd65c67881c7d47, 0x00003ffd
+data8 0xbeb3e0f21d72dc92, 0x00003ffd
+data8 0xc10a7a03457d35dc, 0x00003ffd
+data8 0xc362f9b6f51eddd3, 0x00003ffd
+data8 0xc5bd6326ebfce656, 0x00003ffd
+data8 0xc7a0b3d0637c8f97, 0x00003ffd
+data8 0xc9fe96af0df8e4b5, 0x00003ffd
+data8 0xcc5e6c214b4a2cd7, 0x00003ffd
+data8 0xce46199f374d29cf, 0x00003ffd
+data8 0xd0a978a14c0d9ebe, 0x00003ffd
+data8 0xd293fecafec7f9b5, 0x00003ffd
+data8 0xd4faf1f6f5cf32e6, 0x00003ffd
+data8 0xd6e8595abaad34d1, 0x00003ffd
+data8 0xd952eb7a8ffc1593, 0x00003ffd
+data8 0xdb433ccd805f171e, 0x00003ffd
+data8 0xddb178dc43e6bd84, 0x00003ffd
+data8 0xdfa4bcfb333342a4, 0x00003ffd
+data8 0xe19953741ccea015, 0x00003ffd
+data8 0xe40cee16a2ff21c5, 0x00003ffd
+data8 0xe6048470cdbde8ea, 0x00003ffd
+data8 0xe7fd7308d6895b14, 0x00003ffd
+data8 0xe9f7bbb6a1ff9f87, 0x00003ffd
+data8 0xec7280138809433d, 0x00003ffd
+data8 0xee6fda4365cd051f, 0x00003ffd
+data8 0xf06e94a122ff1f12, 0x00003ffd
+data8 0xf26eb1151441fce5, 0x00003ffd
+data8 0xf470318b88a77e2f, 0x00003ffd
+data8 0xf67317f4d4c8aa58, 0x00003ffd
+data8 0xf8f8b250a9c4cde6, 0x00003ffd
+data8 0xfafec54831f1a484, 0x00003ffd
+data8 0xfd06449bf3eaea1e, 0x00003ffd
+data8 0xff0f324ddb19ab67, 0x00003ffd
+data8 0x808cc8320a9acf15, 0x00003ffe
+data8 0x8192b0748f2cef06, 0x00003ffe
+data8 0x829952f5e6a24ee5, 0x00003ffe
+data8 0x83a0b0bfafe1424e, 0x00003ffe
+data8 0x8466b29f9c41caea, 0x00003ffe
+data8 0x856f5aae0881d857, 0x00003ffe
+data8 0x8678c0eae8ee8190, 0x00003ffe
+data8 0x8782e6685676b9d7, 0x00003ffe
+data8 0x888dcc3abc4554ec, 0x00003ffe
+data8 0x89997378de7b98b8, 0x00003ffe
+data8 0x8aa5dd3be1044279, 0x00003ffe
+data8 0x8b6facdfd0360ab8, 0x00003ffe
+data8 0x8c7d6db7169e0cdb, 0x00003ffe
+data8 0x8d8bf424d6e130b2, 0x00003ffe
+data8 0x8e575b506f409fa6, 0x00003ffe
+data8 0x8f673e418776492c, 0x00003ffe
+data8 0x9077e9ed700ef9ba, 0x00003ffe
+data8 0x9144ef1baec80b20, 0x00003ffe
+data8 0x9256fcdb537f035f, 0x00003ffe
+data8 0x9369d68d75e7e1d6, 0x00003ffe
+data8 0x943880613b8f9f1e, 0x00003ffe
+data8 0x954cc1d9e0d94206, 0x00003ffe
+data8 0xd3c70a37bdf7a294, 0x0000bffd
+data8 0xd19bb053fb0284ec, 0x0000bffd
+data8 0xcffa1a3b7dafb8bf, 0x0000bffd
+data8 0xcdcbe1e2776479ee, 0x0000bffd
+data8 0xcc282218b8bfdda2, 0x0000bffd
+data8 0xc9f703a9afcb38ac, 0x0000bffd
+data8 0xc851146ab89593c6, 0x0000bffd
+data8 0xc61d08265927a860, 0x0000bffd
+data8 0xc474e39705912d26, 0x0000bffd
+data8 0xc23de19ec30c6e3e, 0x0000bffd
+data8 0xc09381cc45db45b4, 0x0000bffd
+data8 0xbee82b4e025ff90c, 0x0000bffd
+data8 0xbcace101149788ec, 0x0000bffd
+data8 0xbaff46962ea47964, 0x0000bffd
+data8 0xb950b1be5e0c14a2, 0x0000bffd
+data8 0xb7110e6ce866f2bc, 0x0000bffd
+data8 0xb5602ccc2a81db52, 0x0000bffd
+data8 0xb3ae4ce740fc8ef1, 0x0000bffd
+data8 0xb1fb6d92c8240ccc, 0x0000bffd
+data8 0xafb609c09b244abc, 0x0000bffd
+data8 0xae00d1cfdeb43cfd, 0x0000bffd
+data8 0xac4a967a8c8c9bd0, 0x0000bffd
+data8 0xaa93568c249e6c52, 0x0000bffd
+data8 0xa8db10cdff375343, 0x0000bffd
+data8 0xa68e6fc5a42376e3, 0x0000bffd
+data8 0xa4d3c25e68dc57f2, 0x0000bffd
+data8 0xa3180b0c192a3816, 0x0000bffd
+data8 0xa15b488e7aa329a0, 0x0000bffd
+data8 0x9f9d79a30f0e1d5f, 0x0000bffd
+data8 0x9dde9d050ee7d4ac, 0x0000bffd
+data8 0x9c1eb16d63d7356c, 0x0000bffd
+data8 0x9a5db592a310c36a, 0x0000bffd
+data8 0x989ba82907a9016f, 0x0000bffd
+data8 0x96d887e26cd57b79, 0x0000bffd
+data8 0x9514536e481c3a4f, 0x0000bffd
+data8 0x934f0979a3715fc9, 0x0000bffd
+data8 0x9188a8af1742a9d5, 0x0000bffd
+data8 0x8fc12fb6c470995f, 0x0000bffd
+data8 0x8df89d364e34f8f1, 0x0000bffd
+data8 0x8c2eefd0d3f67dd6, 0x0000bffd
+data8 0x8a642626eb093d54, 0x0000bffd
+data8 0x88983ed6985bae58, 0x0000bffd
+data8 0x86cb387b4a0feec6, 0x0000bffd
+data8 0x84fd11add101024b, 0x0000bffd
+data8 0x83c856dd81804b78, 0x0000bffd
+data8 0x81f84c2c62afd6f1, 0x0000bffd
+data8 0x80271d3e4be5ea5a, 0x0000bffd
+data8 0xfca991447e7b485d, 0x0000bffc
+data8 0xf90299c904793a3c, 0x0000bffc
+data8 0xf559511d2dc1ed69, 0x0000bffc
+data8 0xf2e72afee9bd2aee, 0x0000bffc
+data8 0xef39ff1d8a40770e, 0x0000bffc
+data8 0xeb8a7a2311c935dc, 0x0000bffc
+data8 0xe7d8990dc620012f, 0x0000bffc
+data8 0xe560b1e3b86e44b6, 0x0000bffc
+data8 0xe1aadb38caee80c4, 0x0000bffc
+data8 0xddf2a051f81b76a4, 0x0000bffc
+data8 0xdb7678bafcaf4b5f, 0x0000bffc
+data8 0xd7ba3a8f0df19bfc, 0x0000bffc
+data8 0xd3fb8fdbdd5cebdb, 0x0000bffc
+data8 0xd17b191905c35652, 0x0000bffc
+data8 0xcdb85d29cefd7121, 0x0000bffc
+data8 0xc9f32c3c88221ef6, 0x0000bffc
+data8 0xc76e5741a95b5dae, 0x0000bffc
+data8 0xc3a506d80d38c718, 0x0000bffc
+data8 0xbfd938ccef8b68c1, 0x0000bffc
+data8 0xbd4ff63e82eef78c, 0x0000bffc
+data8 0xb97ffa2b563865bd, 0x0000bffc
+data8 0xb6f3eb3011eddcea, 0x0000bffc
+data8 0xb31fb7d64898b3e6, 0x0000bffc
+data8 0xb090d63a409e7880, 0x0000bffc
+data8 0xacb8623c7ffa4f39, 0x0000bffc
+data8 0xa8dd5c83d2e45246, 0x0000bffc
+data8 0xa649e998a8d91f2e, 0x0000bffc
+data8 0xa26a93fed6faa94f, 0x0000bffc
+data8 0x9fd43df079d0db1f, 0x0000bffc
+data8 0x9d3cbe69aecac4c2, 0x0000bffc
+data8 0x99574f13c570d0fb, 0x0000bffc
+data8 0x96bce349bf7ee6c7, 0x0000bffc
+data8 0x92d30c9b86cee18e, 0x0000bffc
+data8 0x9035adef17c5bd5c, 0x0000bffc
+data8 0x8c4765e8e8b5f251, 0x0000bffc
+data8 0x89a70da448316ffa, 0x0000bffc
+data8 0x85b44a24474af78a, 0x0000bffc
+data8 0x8310f17aab5adf70, 0x0000bffc
+data8 0x806c6388d0965f29, 0x0000bffc
+data8 0xf8e69092bf0c5ead, 0x0000bffb
+data8 0xf397608bfd2d90e6, 0x0000bffb
+data8 0xee45be24d0eedbc4, 0x0000bffb
+data8 0xe646af233db881e9, 0x0000bffb
+data8 0xe0eee4e1ce3d06fb, 0x0000bffb
+data8 0xdb94a049e6e87a4f, 0x0000bffb
+data8 0xd3888ef9a4249f5a, 0x0000bffb
+data8 0xce280e6fbac39194, 0x0000bffb
+data8 0xc8c50b72319ad574, 0x0000bffb
+data8 0xc0abcd39f41e329b, 0x0000bffb
+data8 0xbb4279cfa7f9667b, 0x0000bffb
+data8 0xb5d69bac77ec398a, 0x0000bffb
+data8 0xb068306bf20d6233, 0x0000bffb
+data8 0xa83dc1b019ddb6a8, 0x0000bffb
+data8 0xa2c8eb1886c2d024, 0x0000bffb
+data8 0x9d517ee93f8e16c0, 0x0000bffb
+data8 0x97d77aae659b92fb, 0x0000bffb
+data8 0x8f9b91da5736d415, 0x0000bffb
+data8 0x8a1b06b09b7fd1d1, 0x0000bffb
+data8 0x8497daca0a2e077a, 0x0000bffb
+data8 0xfe241745a453f10c, 0x0000bffa
+data8 0xf3132d6708d723c5, 0x0000bffa
+data8 0xe7fcf2e21a0e7d77, 0x0000bffa
+data8 0xd75198b04afb8da9, 0x0000bffa
+data8 0xcc2dfe1a4a8ca305, 0x0000bffa
+data8 0xc10500d63aa65882, 0x0000bffa
+data8 0xb5d69bac77ec398a, 0x0000bffa
+data8 0xaaa2c95dc66abcde, 0x0000bffa
+data8 0x9f6984a342d13101, 0x0000bffa
+data8 0x942ac82e5387ac51, 0x0000bffa
+data8 0x88e68ea899a0976c, 0x0000bffa
+data8 0xefebc4409ccf872e, 0x0000bff9
+data8 0xd947b0c6642ef69e, 0x0000bff9
+data8 0xc2987d51e043d407, 0x0000bff9
+data8 0xabde1eeee6bfd257, 0x0000bff9
+data8 0x95188a9917cf2e01, 0x0000bff9
+data8 0xfc8f6a777c1b7f1e, 0x0000bff8
+data8 0xced727635c59725c, 0x0000bff8
+data8 0xa108358a4c904615, 0x0000bff8
+data8 0xe644fcbeb3ac9c90, 0x0000bff7
+data8 0x8a4bd667bf08e7de, 0x0000bff7
+data8 0x0000000000000000 // T[255] Low
+data8 0x0000000000000000 // T[255] High
+LOCAL_OBJECT_END(T_table)
+
+
+
+.section .text
+GLOBAL_LIBM_ENTRY(log2)
+
+{ .mfi
+  alloc r32=ar.pfs,1,4,4,0     
+  // y=frcpa(x)  
+  frcpa.s1 f6,p0=f1,f8
+  // will form significand of 1.5 (to test whether the index is 128 or above) 
+  mov r24=0xc
+}
+{.mfi
+  nop.m 0
+  // normalize x 
+  fma.s1 f7=f8,f1,f0
+  // r2 = pointer to C_1...C_6 followed by T_table
+  addl r2 = @ltoff(poly_coeffs), gp;;
+}
+{.mfi
+  // get significand
+  getf.sig r25=f8
+  // f8 denormal ?
+  fclass.m p8,p10=f8,0x9
+  // will form significand of 1.5 (to test whether the index is 128 or above) 
+  shl r24=r24,60
+}
+{.mfi
+  mov r26=0x804
+  nop.f 0
+  // r23=bias-1
+  mov r23=0xfffe;;
+}
+
+{.mmf
+  getf.exp r29=f8
+  // load start address for C_1...C_6 followed by T_table
+  ld8 r2=[r2]
+  // will continue only for positive normal/denormal numbers          
+  fclass.nm.unc p12,p7 = f8, 0x19 ;;
+}
+
+.pred.rel "mutex",p8,p10
+{.mfi
+  // denormal input, repeat get significand (after normalization)
+  (p8) getf.sig r25=f7
+  // x=1 ?
+  fcmp.eq.s0 p6,p0=f8,f1
+  // get T_index
+  (p10) shr.u r28=r25,63-8
+}
+{.mfi
+  // f32=0.5
+  setf.exp f32=r23
+  nop.f 0
+  // r27=bias
+  mov r27=0xffff;;
+}
+
+{.mmi
+  // denormal input, repeat get exponent (after normalization)
+  (p8) getf.exp r29=f7
+  mov r23=0xff
+  // r26=0x80400...0 (threshold for using polynomial approximation)
+  shl r26=r26,64-12;;
+}
+
+{.mfb
+  add r3=48,r2
+  // r=1-x*y
+  fms.s1 f6=f6,f8,f1
+  (p12) br.cond.spnt SPECIAL_LOG2
+}
+{.mfi
+  // load C_4, C_5
+  ldfpd f10,f11=[r2],16
+  nop.f 0
+  cmp.geu p12,p0=r25,r24;;
+}
+
+{.mmi
+  // load C_6, C_7
+  ldfpd f12,f13=[r2],16
+  // r27=bias-1 (if index >=128, will add exponent+1) 
+  (p12) mov r27=0xfffe
+  (p8) shr.u r28=r25,63-8;;
+}
+
+
+{.mfi
+  // load C_1
+  ldfe f14=[r2],32
+  fmerge.se f7=f1,f7
+  // if first 9 bits after leading 1 are all zero, then p8=1
+  cmp.ltu p8,p12=r25,r26
+}
+{.mfi
+  // load C_3
+  ldfe f15=[r3]
+  nop.f 0
+  // get T_index
+  and r28=r28,r23;;
+}
+{.mfi
+  // r29=exponent-bias
+  sub r29=r29,r27
+  // x=1, return 0
+  (p6) fma.d.s0 f8=f0,f0,f0
+  // get T address
+  shladd r2=r28,4,r2
+}
+{.mfb
+  // first 8 bits after leading 1 are all ones ?
+  cmp.eq p10,p0=r23,r28
+  // if first 8 bits after leading bit are 0, use polynomial approx. only
+  (p8) fms.s1 f6=f7,f1,f1
+  // x=1, return
+  (p6) br.ret.spnt b0;;
+}
+{.mfi
+  // r26=1
+  mov r26=1
+  // if first 8 bits after leading 1 are all ones, use polynomial approx. only
+  (p10) fms.s1 f6=f7,f32,f1
+  nop.i 0;;
+}
+
+.pred.rel "mutex",p8,p12
+{.mmf
+  // load T (unless first 9 bits after leading 1 are 0)
+  (p12) ldfe f33=[r2]
+  // f8=expon - bias 
+  setf.sig f8=r29
+  // set T=0 (if first 9 bits after leading 1 are 0)
+  (p8) fma.s1 f33=f0,f0,f0;;
+}
+
+{.mfi
+  nop.m 0
+  // P12=1-0.5*r
+  fnma.s1 f32=f32,f6,f1
+  // r26=2^{63}
+  shl r26=r26,63
+}
+{.mfi
+  nop.m 0
+  // r2=r*r
+  fma.s1 f7=f6,f6,f0
+  nop.i 0;;
+}
+{.mfi
+  // significand(x)=1 ?
+  cmp.eq p0,p6=r26,r25
+  // P67=C_6+C_7*r
+  fma.s1 f13=f13,f6,f12
+  nop.i 0
+}
+{.mfi
+  nop.m 0
+  // P45=C_4+C_5*r
+  fma.s1 f10=f11,f6,f10
+  nop.i 0;;
+}
+
+{.mfi
+  nop.m 0
+  // C_1*r
+  (p6) fma.s1 f14=f14,f6,f0
+  nop.i 0;;
+}
+{.mfi
+  nop.m 0
+  // normalize additive term (l=exponent of x)
+  fcvt.xf f8=f8
+  nop.i 0
+}
+{.mfi
+  nop.m 0
+  // P13=1-0.5*r+C_3*r^2
+  (p6) fma.s1 f15=f15,f7,f32
+  nop.i 0;;
+}
+
+{.mfi
+  nop.m 0
+  // P47=P45+r2*P67
+  (p6) fma.s1 f13=f13,f7,f10
+  // if significand(x)=1, return exponent (l)
+  nop.i 0
+}
+{.mfi
+  nop.m 0
+  // r3=r^3
+  (p6) fma.s1 f7=f7,f6,f0
+  nop.i 0;;
+}
+
+{.mfi
+  nop.m 0
+  // add T+l
+  (p6) fma.s1 f8=f8,f1,f33
+  nop.i 0
+}
+{.mfi
+  nop.m 0
+  // P17=P13+r3*P47
+  (p6) fma.s1 f13=f13,f7,f15
+  nop.i 0;;
+}
+
+{.mfb
+  nop.m 0
+  // result=T+l+(C_1*r)*P16
+  (p6) fma.d.s0 f8=f13,f14,f8
+  // return
+  br.ret.sptk b0;;
+}
+
+
+SPECIAL_LOG2:
+{.mfi 
+  nop.m 0
+  // x=+Infinity ?
+  fclass.m p7,p0=f8,0x21
+  nop.i 0;;
+}
+{.mfi
+  nop.m 0
+  // x=+/-Zero ?
+  fclass.m p8,p0=f8,0x7
+  nop.i 0;;
+}
+{.mfi
+  nop.m 0
+  // x=-Infinity, -normal, -denormal ?
+  fclass.m p6,p0=f8,0x3a
+  nop.i 0;;
+}
+{.mfb
+  nop.m 0
+  // log2(+Infinity)=+Infinity
+  nop.f 0
+  (p7) br.ret.spnt b0;;
+}
+{.mfi
+  (p8) mov GR_Parameter_TAG = 170                          
+  // log2(+/-0)=-infinity, raises Divide by Zero
+  // set f8=-0
+  (p8) fmerge.ns f8=f0,f8
+  nop.i 0;;
+}
+{.mfb
+  nop.m 0
+  (p8) frcpa.s0 f8,p0=f1,f8
+  (p8) br.cond.sptk __libm_error_region;;
+}
+{.mfb
+  (p6) mov GR_Parameter_TAG = 171 
+  // x<0: return NaN, raise Invalid
+  (p6) frcpa.s0 f8,p0=f0,f0
+  (p6) br.cond.sptk __libm_error_region;;
+}                          
+  
+
+{.mfb
+  nop.m 0
+  // Remaining cases: NaNs
+  fma.d.s0 f8=f8,f1,f0
+  br.ret.sptk b0;;
+}
+
+GLOBAL_LIBM_END(log2)
+
+LOCAL_LIBM_ENTRY(__libm_error_region)
+.prologue
+{ .mfi
+        add   GR_Parameter_Y=-32,sp             // Parameter 2 value
+        nop.f 0
+.save   ar.pfs,GR_SAVE_PFS
+        mov  GR_SAVE_PFS=ar.pfs                 // Save ar.pfs 
+}
+{ .mfi
+.fframe 64 
+        add sp=-64,sp                           // Create new stack
+        nop.f 0
+        mov GR_SAVE_GP=gp                       // Save gp
+};;
+{ .mmi
+        stfd [GR_Parameter_Y] = FR_Y,16         // STORE Parameter 2 on stack
+        add GR_Parameter_X = 16,sp              // Parameter 1 address
+.save   b0, GR_SAVE_B0                      
+        mov GR_SAVE_B0=b0                       // Save b0 
+};;
+.body
+{ .mib
+        stfd [GR_Parameter_X] = FR_X                  // STORE Parameter 1 on stack 
+        add   GR_Parameter_RESULT = 0,GR_Parameter_Y  // Parameter 3 address 
+	nop.b 0                                      
+}
+{ .mib
+        stfd [GR_Parameter_Y] = FR_RESULT             // STORE Parameter 3 on stack
+        add   GR_Parameter_Y = -16,GR_Parameter_Y  
+        br.call.sptk b0=__libm_error_support#         // Call error handling function
+};;
+{ .mmi
+        nop.m 0
+        nop.m 0
+        add   GR_Parameter_RESULT = 48,sp
+};;
+{ .mmi
+        ldfd  f8 = [GR_Parameter_RESULT]       // Get return result off stack
+.restore sp
+        add   sp = 64,sp                       // Restore stack pointer
+        mov   b0 = GR_SAVE_B0                  // Restore return address
+};;
+{ .mib
+        mov   gp = GR_SAVE_GP                  // Restore gp 
+        mov   ar.pfs = GR_SAVE_PFS             // Restore ar.pfs
+        br.ret.sptk     b0                     // Return
+};; 
+
+LOCAL_LIBM_END(__libm_error_region)
+.type   __libm_error_support#,@function
+.global __libm_error_support#
+
+
diff --git a/sysdeps/ia64/fpu/e_log2f.S b/sysdeps/ia64/fpu/e_log2f.S
new file mode 100644
index 0000000000..6de2f38720
--- /dev/null
+++ b/sysdeps/ia64/fpu/e_log2f.S
@@ -0,0 +1,550 @@
+.file "log2f.s"
+
+
+// Copyright (c) 2000 - 2003, Intel Corporation
+// All rights reserved.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
+//
+// Redistribution and use in source and binary forms, with or without
+// modification, are permitted provided that the following conditions are
+// met:
+//
+// * Redistributions of source code must retain the above copyright
+// notice, this list of conditions and the following disclaimer.
+//
+// * Redistributions in binary form must reproduce the above copyright
+// notice, this list of conditions and the following disclaimer in the
+// documentation and/or other materials provided with the distribution.
+//
+// * The name of Intel Corporation may not be used to endorse or promote
+// products derived from this software without specific prior written
+// permission.
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
+// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS 
+// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, 
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY 
+// OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 
+// 
+// Intel Corporation is the author of this code, and requests that all
+// problem reports or change requests be submitted to it directly at 
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
+//
+// History
+//==============================================================
+// 09/11/00 Initial version 
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 02/10/03 Reordered header: .section, .global, .proc, .align
+//
+// API
+//==============================================================
+// float log2f(float)
+//
+// Overview of operation
+//==============================================================
+// Background
+//
+// Implementation
+//
+// Let x = 2^l * m, where     m=1.b1 b2 ... b8 b9 ... b52
+//     y=frcpa(m),   r=m*y-1, f=b1 b2 .. b8 (table index)
+// j=0 if f<128; j=1 if f>=128
+// T is a table that stores log2(1/y) (in entries 1..255) rounded to
+//   double extended precision; f is used as an index; T[255]=0
+// 
+// If f=0 and b9=0, r is set to 2^{-8}* 0.b9 b10 ... b52 = m-1 (fractional part of m),
+//                  and 0 is used instead of T[0] 
+//                  (polynomial evaluation only, for m=1+r, 0<=r<2^{-9})
+// If f=255, r is set to (m-2)/2  (T[255]=0, and only polynomial evaluation is used
+//                                 for m=2(1-r'), 0<=r'<2^{-9})
+//
+// log2f(x) is approximated as
+//     (l-j) + T[f] + (c1*r+c2*r^2+...+c6*r^6), if f>0
+// 
+
+
+// Special values 
+//==============================================================
+//  log2f(0)=-inf, raises Divide by Zero
+//  log2f(+inf)=inf
+//  log2f(x)=NaN,  raises Invalid if x<0
+//
+
+
+// Registers used
+//==============================================================
+//   f6-f14
+//   r2-r3, r23-r30
+//   p6,p7,p8,p12
+//
+
+
+GR_SAVE_B0                    = r33
+GR_SAVE_PFS                   = r34
+GR_SAVE_GP                    = r35 // This reg. can safely be used 
+GR_SAVE_SP                    = r36
+
+GR_Parameter_X                = r37
+GR_Parameter_Y                = r38
+GR_Parameter_RESULT           = r39
+GR_Parameter_TAG              = r40
+
+FR_X             = f10
+FR_Y             = f1
+FR_RESULT        = f8
+
+
+
+
+// Data tables
+//==============================================================
+
+RODATA
+
+.align 16
+
+LOCAL_OBJECT_START(poly_coeffs)
+
+data8 0x3fdec709dc3a03fd, 0xbfd71547652b82fe //C_3 and C_4
+data8 0xb8aa3b295c17f0bc, 0x00003fff  // C_1
+data8 0xb8aa3b295c17f0bc, 0x0000bffe  // C_2
+LOCAL_OBJECT_END(poly_coeffs)
+
+
+LOCAL_OBJECT_START(T_table)
+
+data8 0x3f671b0ea42e5fda, 0x3f815cfe8eaec830
+data8 0x3f8cfee70c5ce5dc, 0x3f94564a62192834
+data8 0x3f997723ace35766, 0x3f9f5923c69b54a1
+data8 0x3fa2a094a085d693, 0x3fa538941776b01e
+data8 0x3fa8324c9b914bc7, 0x3faacf54ce07d7e9
+data8 0x3fadced958dadc12, 0x3fb0387efbca869e
+data8 0x3fb18ac6067479c0, 0x3fb30edd3e13530d
+data8 0x3fb463c15936464e, 0x3fb5b9e13c3fa21d
+data8 0x3fb7113f3259e07a, 0x3fb869dd8d1b2035
+data8 0x3fb9c3bea49d3214, 0x3fbb1ee4d7961701
+data8 0x3fbc7b528b70f1c5, 0x3fbdd90a2c676ed4
+data8 0x3fbf05d4976c2028, 0x3fc032fbbaee6d65
+data8 0x3fc0e3b5a9f3284a, 0x3fc195195c7d125b
+data8 0x3fc22dadc2ab3497, 0x3fc2e050231df57d
+data8 0x3fc379f79c2b255b, 0x3fc42ddd2ba1b4a9
+data8 0x3fc4c89b9e6807f5, 0x3fc563dc29ffacb2
+data8 0x3fc619a25f5d798d, 0x3fc6b5ffbf367644
+data8 0x3fc752e1f660f8d6, 0x3fc7f049e753e7cf
+data8 0x3fc8a8980abfbd32, 0x3fc94724cca657be
+data8 0x3fc9e63a24971f46, 0x3fca85d8feb202f7
+data8 0x3fcb2602497d5346, 0x3fcbc6b6f5ee1c9b
+data8 0x3fcc67f7f770a67e, 0x3fcceec4b2234fba
+data8 0x3fcd91097ad13982, 0x3fce33dd57f3d335
+data8 0x3fced74146bc7b10, 0x3fcf7b3646fef683
+data8 0x3fd00223a943dc19, 0x3fd054a474bf0eb7
+data8 0x3fd0999d9b9259a1, 0x3fd0eca66d3b2581
+data8 0x3fd13ffa2e85b475, 0x3fd185a444fa0a7b
+data8 0x3fd1cb8312f27eff, 0x3fd21fa1441ce5e8
+data8 0x3fd265f526e603cb, 0x3fd2baa0c34be1ec
+data8 0x3fd3016b45de21ce, 0x3fd3486c38aa29a8
+data8 0x3fd38fa3efaa8262, 0x3fd3e562c0816a02
+data8 0x3fd42d141f53b646, 0x3fd474fd543f222c
+data8 0x3fd4bd1eb680e548, 0x3fd505789e234bd1
+data8 0x3fd54e0b64003b70, 0x3fd596d761c3c1f0
+data8 0x3fd5dfdcf1eeae0e, 0x3fd6291c6fd9329c
+data8 0x3fd6729637b59418, 0x3fd6bc4aa692e0fd
+data8 0x3fd7063a1a5fb4f2, 0x3fd75064f1ed0715
+data8 0x3fd79acb8cf10390, 0x3fd7d67c1e43ae5c
+data8 0x3fd8214f4068afa7, 0x3fd86c5f36dea3dc
+data8 0x3fd8b7ac64dd7f9d, 0x3fd8f4167a0c6f92
+data8 0x3fd93fd2d5e1bf1d, 0x3fd98bcd84296946
+data8 0x3fd9c8c333e6e9a5, 0x3fda152f142981b4
+data8 0x3fda527fd95fd8ff, 0x3fda9f5e3edeb9e6
+data8 0x3fdadd0b2b5755a7, 0x3fdb2a5d6f51ff83
+data8 0x3fdb686799b00be3, 0x3fdbb62f1b887cd8
+data8 0x3fdbf4979f666668, 0x3fdc332a6e8399d4
+data8 0x3fdc819dc2d45fe4, 0x3fdcc0908e19b7bd
+data8 0x3fdcffae611ad12b, 0x3fdd3ef776d43ff4
+data8 0x3fdd8e5002710128, 0x3fddcdfb486cb9a1
+data8 0x3fde0dd294245fe4, 0x3fde4dd622a28840
+data8 0x3fde8e06317114f0, 0x3fdece62fe9a9915
+data8 0x3fdf1f164a15389a, 0x3fdf5fd8a9063e35
+data8 0x3fdfa0c8937e7d5d, 0x3fdfe1e649bb6335
+data8 0x3fe011990641535a, 0x3fe032560e91e59e
+data8 0x3fe0532a5ebcd44a, 0x3fe0741617f5fc28
+data8 0x3fe08cd653f38839, 0x3fe0adeb55c1103b
+data8 0x3fe0cf181d5d1dd0, 0x3fe0f05ccd0aced7
+data8 0x3fe111b9875788ab, 0x3fe1332e6f1bcf73
+data8 0x3fe154bba77c2088, 0x3fe16df59bfa06c1
+data8 0x3fe18fadb6e2d3c2, 0x3fe1b17e849adc26
+data8 0x3fe1caeb6a0de814, 0x3fe1ece7c830eec9
+data8 0x3fe20efd3dae01df, 0x3fe2289de375d901
+data8 0x3fe24adf9b6a6fe0, 0x3fe26d3ad1aebcfc
+data8 0x3fe287100c2771f4, 0x3fe2a9983b3c1b28
+data8 0xbfda78e146f7bef4, 0xbfda33760a7f6051
+data8 0xbfd9ff43476fb5f7, 0xbfd9b97c3c4eec8f
+data8 0xbfd98504431717fc, 0xbfd93ee07535f967
+data8 0xbfd90a228d5712b2, 0xbfd8c3a104cb24f5
+data8 0xbfd88e9c72e0b226, 0xbfd847bc33d8618e
+data8 0xbfd812703988bb69, 0xbfd7dd0569c04bff
+data8 0xbfd7959c202292f1, 0xbfd75fe8d2c5d48f
+data8 0xbfd72a1637cbc183, 0xbfd6e221cd9d0cde
+data8 0xbfd6ac059985503b, 0xbfd675c99ce81f92
+data8 0xbfd63f6db2590482, 0xbfd5f6c138136489
+data8 0xbfd5c01a39fbd688, 0xbfd58952cf519193
+data8 0xbfd5526ad18493ce, 0xbfd51b6219bfe6ea
+data8 0xbfd4d1cdf8b4846f, 0xbfd49a784bcd1b8b
+data8 0xbfd4630161832547, 0xbfd42b6911cf5465
+data8 0xbfd3f3af3461e1c4, 0xbfd3bbd3a0a1dcfb
+data8 0xbfd383d62dac7ae7, 0xbfd34bb6b2546218
+data8 0xbfd313750520f520, 0xbfd2db10fc4d9aaf
+data8 0xbfd2a28a6dc90387, 0xbfd269e12f346e2c
+data8 0xbfd2311515e2e855, 0xbfd1f825f6d88e13
+data8 0xbfd1bf13a6c9c69f, 0xbfd185ddfa1a7ed0
+data8 0xbfd14c84c4dd6128, 0xbfd11307dad30b76
+data8 0xbfd0d9670f6941fe, 0xbfd09fa235ba2020
+data8 0xbfd0790adbb03009, 0xbfd03f09858c55fb
+data8 0xbfd004e3a7c97cbd, 0xbfcf9532288fcf69
+data8 0xbfcf205339208f27, 0xbfceab2a23a5b83e
+data8 0xbfce5ce55fdd37a5, 0xbfcde73fe3b1480f
+data8 0xbfcd714f44623927, 0xbfccfb1321b8c400
+data8 0xbfccac163c770dc9, 0xbfcc355b67195dd0
+data8 0xbfcbbe540a3f036f, 0xbfcb6ecf175f95e9
+data8 0xbfcaf74751e1be33, 0xbfca7f71fb7bab9d
+data8 0xbfca2f632320b86b, 0xbfc9b70ba539dfae
+data8 0xbfc93e6587910444, 0xbfc8edcae8352b6c
+data8 0xbfc874a0db01a719, 0xbfc7fb27199df16d
+data8 0xbfc7a9fec7d05ddf, 0xbfc72fff456ac70d
+data8 0xbfc6de7d66023dbc, 0xbfc663f6fac91316
+data8 0xbfc6121ac74813cf, 0xbfc5970c478fff4a
+data8 0xbfc51bab907a5c8a, 0xbfc4c93d33151b24
+data8 0xbfc44d527fdadf55, 0xbfc3fa87be0f3a1b
+data8 0xbfc3a797cd35d959, 0xbfc32ae9e278ae1a
+data8 0xbfc2d79c6937efdd, 0xbfc25a619370d9dc
+data8 0xbfc206b5bde2f8b8, 0xbfc188ecbd1d16be
+data8 0xbfc134e1b489062e, 0xbfc0b6894488e95f
+data8 0xbfc0621e2f556b5c, 0xbfc00d8c711a12cc
+data8 0xbfbf1cd21257e18c, 0xbfbe72ec117fa5b2
+data8 0xbfbdc8b7c49a1ddb, 0xbfbcc8d5e467b710
+data8 0xbfbc1ddc9c39c7a1, 0xbfbb7294093cdd0f
+data8 0xbfba7111df348494, 0xbfb9c501cdf75872
+data8 0xbfb918a16e46335b, 0xbfb81579a73e83c6
+data8 0xbfb7684f39f4ff2d, 0xbfb6bad3758efd87
+data8 0xbfb60d060d7e41ac, 0xbfb507b836033bb7
+data8 0xbfb4591d6310d85a, 0xbfb3aa2fdd27f1c3
+data8 0xbfb2faef55ccb372, 0xbfb1f3723b4ae6db
+data8 0xbfb14360d6136ffa, 0xbfb092fb594145c1
+data8 0xbfafc482e8b48a7e, 0xbfae6265ace11ae4
+data8 0xbfacff9e5c4341d0, 0xbfaaea3316095f72
+data8 0xbfa985bfc3495194, 0xbfa820a01ac754cb
+data8 0xbfa6bad3758efd87, 0xbfa554592bb8cd58
+data8 0xbfa3ed3094685a26, 0xbfa2855905ca70f6
+data8 0xbfa11cd1d5133413, 0xbf9dfd78881399f1
+data8 0xbf9b28f618cc85df, 0xbf98530faa3c087b
+data8 0xbf957bc3dddcd7fa, 0xbf92a3115322f9e6
+data8 0xbf8f91ed4eef8370, 0xbf89dae4ec6b8b2e
+data8 0xbf842106b1499209, 0xbf7cc89f97d67594
+data8 0xbf71497accf7e11d, 0x0000000000000000
+LOCAL_OBJECT_END(T_table)
+
+
+.section .text
+GLOBAL_LIBM_ENTRY(log2f)
+
+{ .mfi
+  alloc r32=ar.pfs,1,4,4,0     
+  // y=frcpa(x)  
+  frcpa.s1 f6,p0=f1,f8
+  // will form significand of 1.5 (to test whether the index is 128 or above) 
+  mov r24=0xc
+}
+{.mfi
+  nop.m 0
+  // normalize x 
+  fma.s1 f7=f8,f1,f0
+  // r2 = pointer to C_1...C_6 followed by T_table
+  addl r2 = @ltoff(poly_coeffs), gp;;
+}
+{.mfi
+  // get significand
+  getf.sig r25=f8
+  // f8 denormal ?
+  fclass.m p8,p10=f8,0x9
+  // will form significand of 1.5 (to test whether the index is 128 or above) 
+  shl r24=r24,60
+}
+{.mfi
+  mov r26=0x804
+  nop.f 0
+  // r23=bias-1
+  mov r23=0xfffe;;
+}
+
+{.mmf
+  getf.exp r29=f8
+  // load start address for C_1...C_6 followed by T_table
+  ld8 r2=[r2]
+  // will continue only for positive normal/denormal numbers          
+  fclass.nm.unc p12,p7 = f8, 0x19 ;;
+}
+
+.pred.rel "mutex",p8,p10
+{.mfi
+  // denormal input, repeat get significand (after normalization)
+  (p8) getf.sig r25=f7
+  // x=1 ?
+  fcmp.eq.s0 p6,p0=f8,f1
+  // get T_index
+  (p10) shr.u r28=r25,63-8
+}
+{.mfi
+  // f12=0.5
+  setf.exp f12=r23
+  nop.f 0
+  // r27=bias
+  mov r27=0xffff;;
+}
+
+{.mfb
+  // denormal input, repeat get exponent (after normalization)
+  (p8) getf.exp r29=f7
+  nop.f 0
+  (p12) br.cond.spnt SPECIAL_log2f
+}
+{.mfi
+  cmp.geu p12,p0=r25,r24
+  nop.f 0
+  mov r23=0xff;;
+}
+
+{.mfi
+  add r3=32,r2
+  // r=1-x*y
+  fms.s1 f6=f6,f8,f1
+  // r26=0x80400...0 (threshold for using polynomial approximation)
+  shl r26=r26,64-12
+}
+{.mfi
+  // load C_3, C_4
+  ldfpd f10,f11=[r2],16
+  nop.f 0
+  // r27=bias-1 (if index >=128, will add exponent+1) 
+  (p12) mov r27=0xfffe;;
+}
+
+{.mfi
+  // load C_1
+  ldfe f14=[r2],32
+  // x=1, return 0
+  (p6) fma.s.s0 f8=f0,f0,f0
+  (p8) shr.u r28=r25,63-8
+}
+{.mib
+  // load C_2
+  ldfe f13=[r3]
+  // r29=exponent-bias
+  sub r29=r29,r27
+  // x=1, return
+  (p6) br.ret.spnt b0;;
+}
+
+
+{.mfi
+  // get T_index
+  and r28=r28,r23
+  fmerge.se f7=f1,f7
+  // if first 9 bits after leading 1 are all zero, then p8=1
+  cmp.ltu p8,p12=r25,r26;;
+}
+{.mfi
+  // f8=expon - bias 
+  setf.sig f8=r29
+  nop.f 0
+  // get T address
+  shladd r2=r28,3,r2
+}
+{.mfi
+  // first 8 bits after leading 1 are all ones ?
+  cmp.eq p10,p0=r23,r28
+  // if first 8 bits after leading bit are 0, use polynomial approx. only
+  (p8) fms.s1 f6=f7,f1,f1
+  nop.i 0;;
+}
+{.mfi
+  //r26=1
+  mov r26=1
+  // if first 8 bits after leading 1 are all ones, use polynomial approx. only
+  (p10) fms.s1 f6=f7,f12,f1
+  nop.i 0;;
+}
+
+.pred.rel "mutex",p8,p12
+{.mmf
+  // load T (unless first 9 bits after leading 1 are 0)
+  (p12) ldfd f12=[r2]
+  nop.m 0
+  // set T=0 (if first 9 bits after leading 1 are 0)
+  (p8) fma.s1 f12=f0,f0,f0;;
+}
+
+{.mfi
+  nop.m 0
+  // P34=C_3+C_4*r
+  fma.s1 f10=f11,f6,f10
+  // r26=2^{63}
+  shl r26=r26,63
+}
+{.mfi
+  nop.m 0
+  // r2=r*r
+  fma.s1 f11=f6,f6,f0
+  nop.i 0;;
+}
+{.mfi
+  // significand of x is 1 ?
+  cmp.eq p0,p6=r25,r26
+  // P12=C_1+C_2*r
+  fma.s1 f14=f13,f6,f14
+  nop.i 0;;
+}
+{.mfi
+  nop.m 0
+  // normalize additive term (l=exponent of x)
+  fcvt.xf f8=f8
+  // if significand(x)=1, return exponent (l)
+  nop.i 0;;
+}
+{.mfi
+  nop.m 0
+  // add T+l
+  (p6) fma.s1 f8=f8,f1,f12
+  nop.i 0
+}
+{.mfi
+  nop.m 0
+  // P14=P12+r2*P34
+  (p6) fma.s1 f13=f10,f11,f14
+  nop.i 0;;
+}
+
+{.mfb
+  nop.m 0
+  // result=T+l+r*P14
+  (p6) fma.s.s0 f8=f13,f6,f8
+  // return
+  br.ret.sptk b0;;
+}
+
+
+SPECIAL_log2f:
+{.mfi 
+  nop.m 0
+  // x=+Infinity ?
+  fclass.m p7,p0=f8,0x21
+  nop.i 0;;
+}
+{.mfi
+  nop.m 0
+  // x=+/-Zero ?
+  fclass.m p8,p0=f8,0x7
+  nop.i 0;;
+}
+{.mfi
+  nop.m 0
+  // x=-Infinity, -normal, -denormal ?
+  fclass.m p6,p0=f8,0x3a
+  nop.i 0;;
+}
+{.mfb
+  nop.m 0
+  // log2f(+Infinity)=+Infinity
+  nop.f 0
+  (p7) br.ret.spnt b0;;
+}
+{.mfi
+  (p8) mov GR_Parameter_TAG = 172                          
+  // log2f(+/-0)=-infinity, raises Divide by Zero
+  // set f8=-0
+  (p8) fmerge.ns f8=f0,f8
+  nop.i 0;;
+}
+{.mfb
+  nop.m 0
+  (p8) frcpa.s0 f8,p0=f1,f8
+  (p8) br.cond.sptk __libm_error_region;;
+}
+{.mfb
+  (p6) mov GR_Parameter_TAG = 173 
+  // x<0: return NaN, raise Invalid
+  (p6) frcpa.s0 f8,p0=f0,f0
+  (p6) br.cond.sptk __libm_error_region;;
+}                          
+  
+
+{.mfb
+  nop.m 0
+  // Remaining cases: NaNs
+  fma.s.s0 f8=f8,f1,f0
+  br.ret.sptk b0;;
+}
+
+GLOBAL_LIBM_END(log2f)
+
+LOCAL_LIBM_ENTRY(__libm_error_region)
+.prologue
+{ .mfi
+        add   GR_Parameter_Y=-32,sp             // Parameter 2 value
+        nop.f 0
+.save   ar.pfs,GR_SAVE_PFS
+        mov  GR_SAVE_PFS=ar.pfs                 // Save ar.pfs 
+}
+{ .mfi
+.fframe 64 
+        add sp=-64,sp                           // Create new stack
+        nop.f 0
+        mov GR_SAVE_GP=gp                       // Save gp
+};;
+{ .mmi
+        stfs [GR_Parameter_Y] = FR_Y,16         // STORE Parameter 2 on stack
+        add GR_Parameter_X = 16,sp              // Parameter 1 address
+.save   b0, GR_SAVE_B0                      
+        mov GR_SAVE_B0=b0                       // Save b0 
+};;
+.body
+{ .mib
+        stfs [GR_Parameter_X] = FR_X                  // STORE Parameter 1 on stack 
+        add   GR_Parameter_RESULT = 0,GR_Parameter_Y  // Parameter 3 address 
+	nop.b 0                                      
+}
+{ .mib
+        stfs [GR_Parameter_Y] = FR_RESULT             // STORE Parameter 3 on stack
+        add   GR_Parameter_Y = -16,GR_Parameter_Y  
+        br.call.sptk b0=__libm_error_support#         // Call error handling function
+};;
+{ .mmi
+        nop.m 0
+        nop.m 0
+        add   GR_Parameter_RESULT = 48,sp
+};;
+{ .mmi
+        ldfs  f8 = [GR_Parameter_RESULT]       // Get return result off stack
+.restore sp
+        add   sp = 64,sp                       // Restore stack pointer
+        mov   b0 = GR_SAVE_B0                  // Restore return address
+};;
+{ .mib
+        mov   gp = GR_SAVE_GP                  // Restore gp 
+        mov   ar.pfs = GR_SAVE_PFS             // Restore ar.pfs
+        br.ret.sptk     b0                     // Return
+};; 
+
+LOCAL_LIBM_END(__libm_error_region)
+.type   __libm_error_support#,@function
+.global __libm_error_support#
+
+
+
+
diff --git a/sysdeps/ia64/fpu/e_log2l.S b/sysdeps/ia64/fpu/e_log2l.S
new file mode 100644
index 0000000000..37af2f2553
--- /dev/null
+++ b/sysdeps/ia64/fpu/e_log2l.S
@@ -0,0 +1,816 @@
+.file "log2l.s"
+
+
+// Copyright (c) 2000 - 2003, Intel Corporation
+// All rights reserved.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
+//
+// Redistribution and use in source and binary forms, with or without
+// modification, are permitted provided that the following conditions are
+// met:
+//
+// * Redistributions of source code must retain the above copyright
+// notice, this list of conditions and the following disclaimer.
+//
+// * Redistributions in binary form must reproduce the above copyright
+// notice, this list of conditions and the following disclaimer in the
+// documentation and/or other materials provided with the distribution.
+//
+// * The name of Intel Corporation may not be used to endorse or promote
+// products derived from this software without specific prior written
+// permission.
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
+// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS 
+// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, 
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY 
+// OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 
+// 
+// Intel Corporation is the author of this code, and requests that all
+// problem reports or change requests be submitted to it directly at 
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
+//
+// History
+//==============================================================
+// 09/25/00 Initial version 
+// 11/22/00 Fixed accuracy bug (for mantissas near 1, 2)
+// 12/07/00 Fixed C_1l constant, eliminated rounding errors in 
+//          reduced argument (x*frcpa(x)-1)
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 02/10/03 Reordered header: .section, .global, .proc, .align
+//
+// API
+//==============================================================
+// long double log2l(long double)
+//
+// Overview of operation
+//==============================================================
+// Background
+//
+// Implementation
+//
+// Let x = 2^l * m, where     m=1.b1 b2 ... b8 b9 ... b52
+//     y=frcpa(m),   r=m*y-1, f=b1 b2 .. b8 
+// T_hi is a table that stores the 24 most significant bits of log2(1/y) 
+// (in entries 1..255) in single precision format
+// T_low is a table that stores (log2(1/y)-T_high), rounded to double
+// precision 
+//
+// f is used as an index; T_high[255]=T_low[255]=0
+// 
+// If f=0 and b9=0, r is set to 2^{-8}* 0.b9 b10 ... b52 = m-1 (fractional part of m),
+//                  and 0 is used instead of T_high[0], T_low[0] 
+//                  (polynomial evaluation only, for m=1+r, 0<=r<2^{-9})
+// If f=255, r is set to (m-2)/2  (T[255]=0, and only polynomial evaluation is used
+//                                 for m=2(1-r'), 0<=r'<2^{-9})
+//
+// If 2^{-9}<=m<2-2^{-8} or (input not near 1), let C1r=(2^{16}+C1*r)-2^{16}
+//                       and let E=((RN(m*y)-1)-r)+(m*y-RN(m*y))
+// Else let C1r=C1*r (rounded to 64 significant bits)  and let  E=0
+//
+// Let D=C1*r-C1r
+//
+//
+// log2l(x) is approximated as
+//     (l+T_high[f]+C1r) + (D+r*(c1+c2*r+c3*r^2...+c8*r^7)+(T_low[f]+C_1*E))
+// 
+
+
+// Special values 
+//==============================================================
+//  log2l(0)=-inf, raises Divide by Zero
+//  log2l(+inf)=inf
+//  log2l(x)=NaN,  raises Invalid if x<0
+//
+
+
+// Registers used
+//==============================================================
+//   f6-f15, f32-f36
+//   r2-r3, r23-r23
+//   p6,p7,p8,p12
+//
+
+
+GR_SAVE_B0                    = r33
+GR_SAVE_PFS                   = r34
+GR_SAVE_GP                    = r35 // This reg. can safely be used 
+GR_SAVE_SP                    = r36
+
+GR_Parameter_X                = r37
+GR_Parameter_Y                = r38
+GR_Parameter_RESULT           = r39
+GR_Parameter_TAG              = r40
+
+FR_X             = f10
+FR_Y             = f1
+FR_RESULT        = f8
+
+
+
+
+// Data tables
+//==============================================================
+
+RODATA
+
+.align 16
+
+LOCAL_OBJECT_START(poly_coeffs)
+
+data8 0xb8aa3b295c17f0bc, 0x00003fff  // C_1
+data8 0x3fca61762a7aded9, 0xbfc71547652b82fe // C_7, C_8
+data8 0x3fd2776c50ef9bfe, 0xbfcec709dc3a03fd // C_5, C_6 
+data8 0x3fdec709dc3a03fd, 0xbfd71547652b82fe  // C_3, C_4
+//data8 0xd871319ff0342580, 0x0000bfbd	// C_1l (low part of C1)
+data8 0x82f0025f2dc582ee, 0x0000bfbe   // C_1l (low part of C1)
+data8 0xb8aa3b295c17f0bc, 0x0000bffe  // C_2
+LOCAL_OBJECT_END(poly_coeffs)
+
+
+
+
+LOCAL_OBJECT_START(T_table)
+
+data4 0x3b38d875, 0x3c0ae7f4, 0x3c67f738, 0x3ca2b253
+data4 0x3ccbb91d, 0x3cfac91e, 0x3d1504a5, 0x3d29c4a0
+data4 0x3d419264, 0x3d567aa6, 0x3d6e76ca, 0x3d81c3f7
+data4 0x3d8c5630, 0x3d9876e9, 0x3da31e0a, 0x3dadcf09
+data4 0x3db889f9, 0x3dc34eec, 0x3dce1df5, 0x3dd8f726
+data4 0x3de3da94, 0x3deec851, 0x3df82ea4, 0x3e0197dd
+data4 0x3e071dad, 0x3e0ca8ca, 0x3e116d6e, 0x3e170281
+data4 0x3e1bcfbc, 0x3e216ee9, 0x3e2644dc, 0x3e2b1ee1
+data4 0x3e30cd12, 0x3e35affd, 0x3e3a970f, 0x3e3f824f
+data4 0x3e4544c0, 0x3e4a3926, 0x3e4f31d1, 0x3e542ec7
+data4 0x3e593012, 0x3e5e35b7, 0x3e633fbf, 0x3e677625
+data4 0x3e6c884b, 0x3e719eea, 0x3e76ba0a, 0x3e7bd9b2
+data4 0x3e80111d, 0x3e82a523, 0x3e84ccec, 0x3e876533
+data4 0x3e89ffd1, 0x3e8c2d22, 0x3e8e5c18, 0x3e90fd0a
+data4 0x3e932fa9, 0x3e95d506, 0x3e980b5a, 0x3e9a4361
+data4 0x3e9c7d1f, 0x3e9f2b16, 0x3ea168a0, 0x3ea3a7ea
+data4 0x3ea5e8f5, 0x3ea82bc4, 0x3eaa705b, 0x3eacb6bb
+data4 0x3eaefee7, 0x3eb148e3, 0x3eb394b1, 0x3eb5e255
+data4 0x3eb831d0, 0x3eba8327, 0x3ebcd65c, 0x3ebeb3e0
+data4 0x3ec10a7a, 0x3ec362f9, 0x3ec5bd63, 0x3ec7a0b3
+data4 0x3ec9fe96, 0x3ecc5e6c, 0x3ece4619, 0x3ed0a978
+data4 0x3ed293fe, 0x3ed4faf1, 0x3ed6e859, 0x3ed952eb
+data4 0x3edb433c, 0x3eddb178, 0x3edfa4bc, 0x3ee19953
+data4 0x3ee40cee, 0x3ee60484, 0x3ee7fd73, 0x3ee9f7bb
+data4 0x3eec7280, 0x3eee6fda, 0x3ef06e94, 0x3ef26eb1
+data4 0x3ef47031, 0x3ef67317, 0x3ef8f8b2, 0x3efafec5
+data4 0x3efd0644, 0x3eff0f32, 0x3f008cc8, 0x3f0192b0
+data4 0x3f029952, 0x3f03a0b0, 0x3f0466b2, 0x3f056f5a
+data4 0x3f0678c0, 0x3f0782e6, 0x3f088dcc, 0x3f099973
+data4 0x3f0aa5dd, 0x3f0b6fac, 0x3f0c7d6d, 0x3f0d8bf4
+data4 0x3f0e575b, 0x3f0f673e, 0x3f1077e9, 0x3f1144ef
+data4 0x3f1256fc, 0x3f1369d6, 0x3f143880, 0x3f154cc1
+data4 0x3f161c7a, 0x3f173227, 0x3f1802f2, 0x3f191a0f
+data4 0x3f19ebee, 0x3f1b047e, 0x3f1bd775, 0x3f1cf17b
+data4 0x3f1dc58e, 0x3f1ee10f, 0x3f1fb63f, 0x3f208bea
+data4 0x3f21a98f, 0x3f22805c, 0x3f2357a7, 0x3f247778
+data4 0x3f254fe9, 0x3f2628d9, 0x3f270249, 0x3f2824fb
+data4 0x3f28ff97, 0x3f29dab4, 0x3f2ab654, 0x3f2b9277
+data4 0x3f2cb8c8, 0x3f2d961e, 0x3f2e73fa, 0x3f2f525b
+data4 0x3f303143, 0x3f3110b1, 0x3f31f0a7, 0x3f32d125
+data4 0x3f33b22b, 0x3f3493bc, 0x3f3575d6, 0x3f36587b
+data4 0x3f373bab, 0x3f381f68, 0x3f3903b1, 0x3f39e888
+data4 0x3f3acdec, 0x3f3bb3e0, 0x3f3c9a63, 0x3f3d8177
+data4 0x3f3e1bd4, 0x3f3f03d9, 0x3f3fec71, 0x3f40d59b
+data4 0x3f41bf59, 0x3f42a9ab, 0x3f434635, 0x3f443180
+data4 0x3f451d61, 0x3f4609d9, 0x3f46a7d3, 0x3f479549
+data4 0x3f488357, 0x3f492261, 0x3f4a1171, 0x3f4b011c
+data4 0x3f4ba139, 0x3f4c91e8, 0x3f4d8334, 0x3f4e246a
+data4 0x3f4f16be, 0x3f5009b1, 0x3f50ac02, 0x3f51a001
+data4 0x3f524305, 0x3f533812, 0x3f53dbca, 0x3f54d1e7
+data4 0x3f55c8a8, 0x3f566d85, 0x3f57655b, 0x3f580af0
+data4 0x3f58b0d0, 0x3f59aa2c, 0x3f5a50c7, 0x3f5b4b3c
+data4 0x3f5bf294, 0x3f5cee26, 0x3f5d963c, 0x3f5e92ed
+data4 0x3f5f3bc3, 0x3f5fe4e7, 0x3f60e32d, 0x3f618d13
+data4 0x3f623748, 0x3f63372a, 0x3f63e223, 0x3f648d6b
+data4 0x3f658eee, 0x3f663afe, 0x3f66e75e, 0x3f67ea86
+data4 0x3f6897b0, 0x3f69452c, 0x3f69f2f9, 0x3f6af847
+data4 0x3f6ba6e2, 0x3f6c55d0, 0x3f6d0510, 0x3f6e0c8d
+data4 0x3f6ebc9f, 0x3f6f6d04, 0x3f701dbe, 0x3f70cecd
+data4 0x3f718030, 0x3f728ae6, 0x3f733d20, 0x3f73efaf
+data4 0x3f74a296, 0x3f7555d3, 0x3f760967, 0x3f76bd53
+data4 0x3f777197, 0x3f7880a1, 0x3f7935c2, 0x3f79eb3c
+data4 0x3f7aa10f, 0x3f7b573b, 0x3f7c0dc2, 0x3f7cc4a3
+data4 0x3f7d7bdf, 0x3f7e3376, 0x3f7eeb68, 0x00000000
+LOCAL_OBJECT_END(T_table)
+
+
+
+LOCAL_OBJECT_START(T_low)
+
+
+data8 0x3dc0b97f689876ef, 0x3dfd5d906028ac01
+data8 0x3df8b9cbb8d7240b, 0x3de0c941a2f220cd
+data8 0x3e09c6aecba15936, 0x3dfa6d528241827c
+data8 0x3dd0bad25714903c, 0x3e2776b01dc036a2
+data8 0x3e2b914bc77f158b, 0x3e1c0fafd29dc74a
+data8 0x3e28dadc119cd3de, 0x3e3bca869da085be
+data8 0x3e19d1e700f2200a, 0x3e3e13530cc37504
+data8 0x3e3936464d9c41ee, 0x3e3c3fa21c9499d0
+data8 0x3e3259e079b6c6e8, 0x3e2a364069c4f7f3
+data8 0x3e1274c84f6c6364, 0x3e3796170159f454
+data8 0x3e26e1e389f4364e, 0x3e28cedda8c7f658
+data8 0x3e376c2028433268, 0x3e4aee6d650c82e1
+data8 0x3e33e65094fbeeb4, 0x3e4c7d125aa92c5d
+data8 0x3e1559a4b69691d8, 0x3e18efabeb7d7221
+data8 0x3e4c2b255abaa8de, 0x3e37436952a4538b
+data8 0x3e4e6807f4ba00b8, 0x3e33ff5964190e42
+data8 0x3e4f5d798cead43c, 0x3e4f3676443bf453
+data8 0x3e4660f8d5bc1bf5, 0x3e2d4f9f3ab04f36
+data8 0x3e357f7a64ccd537, 0x3e394caf7c9b05af
+data8 0x3e225c7d17ab29b0, 0x3e4eb202f6d55a12
+data8 0x3e32faa68b19bcd2, 0x3e45ee1c9b566a8b
+data8 0x3e4770a67de054ff, 0x3e42234fb9de6d6b
+data8 0x3e4ad139825c6e19, 0x3e47f3d334814a93
+data8 0x3e2af1ec402867b6, 0x3e2bfbda0c956e3d
+data8 0x3e4287b831e77ff2, 0x3e54bf0eb77f7b89
+data8 0x3e5b9259a1029607, 0x3e4a764b015e699d
+data8 0x3e4d0b68ea883ab5, 0x3e33e829ecdadf46
+data8 0x3e52f27efef3031b, 0x3e3073979e4af89e
+data8 0x3e3b980f2cd6c253, 0x3e2a5f0f5f7f66a9
+data8 0x3e37788738117b02, 0x3e58aa29a784d52f
+data8 0x3e4f5504c4ff2466, 0x3e002d40340fa647
+data8 0x3e5f53b64592f4c3, 0x3e543f222c526802
+data8 0x3e5680e547a872fa, 0x3e5e234bd1154450
+data8 0x3e3000edc18b6d21, 0x3e1c3c1f000942a8
+data8 0x3e51eeae0e442d6e, 0x3e4fb265376623f2
+data8 0x3e57b5941782d830, 0x3e3a4b83f24ae52c
+data8 0x3e5a5fb4f23978de, 0x3e51ed071563fb02
+data8 0x3e49e2071f51a7a8, 0x3e5e43ae5b924234
+data8 0x3dfa2be9aedf374a, 0x3e56dea3dbba67d5
+data8 0x3e3375fe732b3c3e, 0x3e5a0c6f91f2e77e
+data8 0x3e55e1bf1c969e41, 0x3e30a5a5166b8eee
+data8 0x3e53e6e9a539d46c, 0x3e542981b3d7b0e6
+data8 0x3e595fd8ff36ad64, 0x3e5edeb9e65cbbb4
+data8 0x3e46aeab4d3434c1, 0x3e4ea3ff0564b010
+data8 0x3e59b00be2e3c25a, 0x3e5b887cd7b0821f
+data8 0x3e5f666668547b4d, 0x3e4d0733a805273f
+data8 0x3e26a2ff21c4aec5, 0x3e4c336f7a3a78f3
+data8 0x3e11ad12b628e2d0, 0x3e56d43ff3f0ea64
+data8 0x3e238809433cccd2, 0x3e40d9734147d40f
+data8 0x3e54245fe3e24e06, 0x3e251441fce4d48c
+data8 0x3e517114efc5d1f9, 0x3e5e9a99154b0d82
+data8 0x3e442a71337970f8, 0x3e420c7c69211fdf
+data8 0x3e537e7d5d43c6a7, 0x3e4376c66ad9ad8b
+data8 0x3e49054d678a4f1c, 0x3e5d23cb3bc19f18
+data8 0x3e6ebcd449dcab2b, 0x3e67f5fc2849c88a
+data8 0x3e63f388395d3e84, 0x3e65c1103b0ad7e9
+data8 0x3e6d5d1dd031f353, 0x3e5a159dae75c4d0
+data8 0x3e4d5e22aa75f71d, 0x3e5e379ee62e1e35
+data8 0x3e4df082213cb2dc, 0x3e6bfa06c156f521
+data8 0x3e66e2d3c19b517b, 0x3e426b7098590071
+data8 0x3e541bd027e9854e, 0x3e5061dd924b0ac0
+data8 0x3e6dae01df373a03, 0x3e3baec80b207b0b
+data8 0x3e6b6a6fe06bebac, 0x3e61aebcfc3ab5d1
+data8 0x3e584ee3e7c79d83, 0x3e6b3c1b2840cb40
+data8 0x3e6c842085d6befd, 0x3e6ac04fd7b141e0
+data8 0x3e6c48250474141d, 0x3e2d889b86125f69
+data8 0x3e6e74740225dad0, 0x3e45940d31d50a7c
+data8 0x3e695476a6c39ddc, 0x3e6d9a6d857a060a
+data8 0x3e4a3e9bb4b69337, 0x3e484f3ce4707ed6
+data8 0x3e39dd125d25fc27, 0x3e563fb400de8732
+data8 0x3e5fdd6d0ee28b48, 0x3e669d15b869bb07
+data8 0x3e40687cfad7964d, 0x3e69317990d43957
+data8 0x3e633d57e24ae1bd, 0x3e618bf03710eabb
+data8 0x3e4b4df6fccd1160, 0x3e3fb26ddaa1ec45
+data8 0x3e3810a5e1817fd4, 0x3e6857373642fa5c
+data8 0x3e673db6193add31, 0x3e63200c8acbc9c3
+data8 0x3e3d2dee448ebb62, 0x3e6a19723a80db6a
+data8 0x3e5e7cdab8fd3e6a, 0x3e671855cd660672
+data8 0x3e473c3c78a85ecd, 0x3e5f5e23056a7cf2
+data8 0x3e52538519527367, 0x3e4b573bcf2580e9
+data8 0x3e6d6f856fe90c60, 0x3e2d932a8487642e
+data8 0x3e5236fc78b6174c, 0x3e50cb91d406db50
+data8 0x3e650e8bd562aa57, 0x3e424ee3d9a82f2e
+data8 0x3e59363960e1e3d9, 0x3e379604c1150a3e
+data8 0x3e6d914f6c2ac258, 0x3e62967a451a7b48
+data8 0x3e684b5f01139cb2, 0x3e448bbfbf6d292c
+data8 0x3e6227e7fb487e73, 0x3e6d39d50290f458
+data8 0x3e58368342b4b668, 0x3e65dc0c25bd1763
+data8 0x3e61b7dc362e22b5, 0x3e671691f094bb80
+data8 0x3e5011642d5123f2, 0x3e4c4eb7f11e41be
+data8 0x3e5dcee36ca242cf, 0x3e6791cefff688f1
+data8 0x3e60e23c8dda4ecd, 0x3e48e6a22fe78cfe
+data8 0x3e6d703f244adc86, 0x3e6a281a85a5049d
+data8 0x3e570f20e6403d9e, 0x3e2211518a12956f
+data8 0x3e6737d1e54d71df, 0x3e66b1881476f5e9
+data8 0x3e6e1bbeef085376, 0x3e47cad4944a32be
+data8 0x3e527f2c738e7ee9, 0x3e699883a4b9fb29
+data8 0x3e5c17d1108740d9, 0x3e5d4a9c79a43389
+data8 0x3e49fdc24462ba3b, 0x3e24dbb3a60cceb2
+data8 0x3e5c5bf618780748, 0x3e5c38005b0c778c
+data8 0x3e6be168dd6dd3fe, 0x3e633ab9370693b0
+data8 0x3dd290556b0ae339, 0x3e607c317927096a
+data8 0x3e59651353b3d90e, 0x3e4d8751e5e0ae0d
+data8 0x3e46c81023272a85, 0x3e6b23c988f391b2
+data8 0x3e608741d215209c, 0x3e60b8ba506d758f
+data8 0x3e62ddbe74803297, 0x3e5dbb8b5087587d
+data8 0x3e642aa529048131, 0x3e3dcbda6835dcf4
+data8 0x3e6db503ce854d2a, 0x3e6dd00b49bc6849
+data8 0x3e4db2f11243bc84, 0x3e3b9848efc2ea97
+data8 0x3e58f18e17c82609, 0x3e6ed8645e16c312
+data8 0x3e4065bdb60a5dd4, 0x3e490453c6e6c30a
+data8 0x3e62373994aa31ba, 0x3e56305f0e6b2a95
+data8 0x3e68c1601a6614ee, 0x3e614e204f19d93f
+data8 0x3e6e5037ca773299, 0x3e693f98892561a6
+data8 0x3e639de4f4bf700d, 0x3e416c071e93fd97
+data8 0x3e65466991b415ef, 0x3e6896a324afac9d
+data8 0x3e44f64802e2f11c, 0x3e64d7d747e2191a
+data8 0x3e6174b7581de84c, 0x3e44c7b946e1d43c
+data8 0x3e6a3bcbe30512ec, 0x3e5d3ed411c95ce4
+data8 0x3e3e5b5735cfaf8e, 0x3e6e538ab34efb51
+data8 0x3e514e204f19d93f, 0x3e5a88e6550c89a4
+data8 0x3e66b97a5d9dfd8b, 0x3e5f46b1e14ebaf3
+data8 0x3e357665f6893f5d, 0x3e6bbf633078d1d5
+data8 0x3e5e7337a212c417, 0x3e3570fde15fc8cc
+data8 0x3e21119402da92b4, 0x3e6566e830d1ff3b
+data8 0x3e558883e480e220, 0x3e589ca3a68da411
+data8 0x3e44eb66df73d648, 0x3e1a0a629b1b7e68
+data8 0x3e54cc207b8c1116, 0x0000000000000000
+LOCAL_OBJECT_END(T_low)
+
+
+.section .text
+GLOBAL_IEEE754_ENTRY(log2l)
+
+{ .mfi
+  alloc r32=ar.pfs,1,4,4,0     
+  // normalize x 
+  // y=frcpa(x)  
+  frcpa.s1 f41,p0=f1,f8
+  // r26=bias-1
+  mov r26=0xfffe
+}
+{.mfi
+  // r23=bias+16
+  mov r23=0xffff+16
+  fma.s1 f7=f8,f1,f0
+  // r2 = pointer to C_1...C_6 followed by T_table
+  addl r2 = @ltoff(poly_coeffs), gp;;
+}
+{.mfi
+  // get significand
+  getf.sig r25=f8
+  // f8 denormal ?
+  fclass.m p8,p10=f8,0x9
+  // r24=bias-8
+  mov r24=0xffff-8;;
+}
+{.mfi
+  setf.exp f36=r26
+  nop.f 0
+  // r27=bias
+  mov r27=0xffff;;
+}
+
+{.mmf
+  getf.exp r29=f8
+  // load start address for C_1...C_7 followed by T_table
+  ld8 r2=[r2]
+  // will continue only for positive normal/unnormal numbers          
+  fclass.m.unc p0,p12 = f8, 0x19;; 
+}
+
+
+.pred.rel "mutex",p8,p10
+{.mfi
+  // denormal input, repeat get significand (after normalization)
+  (p8) getf.sig r25=f7
+  // x=1 ?
+  fcmp.eq.s0 p6,p0=f8,f1
+  // get T_index
+  (p10) shr.u r28=r25,63-8
+}
+{.mfi
+  // f32=2^16
+  setf.exp f32=r23
+  nop.f 0
+  mov r26=0x804;;
+}
+
+{.mfi
+  // denormal input, repeat get exponent (after normalization)
+  (p8) getf.exp r29=f7
+  // f33=0
+  mov f33=f0
+  // r26=0x80400...0 (threshold for using polynomial approximation)
+  shl r26=r26,64-12;;
+}
+
+{.mfb
+  add r3=16,r2 
+  // r=x*y-1
+  fms.s1 f6=f41,f8,f1
+  (p12) br.cond.spnt SPECIAL_log2l
+}
+{.mfi
+  // load C_1
+  ldfe f14=[r2],48
+  // RN(x*y)
+  fma.s1 f43=f41,f8,f0
+  mov r23=0xff;;
+}
+
+{.mmi
+  // load C_7, C_8
+  ldfpd f10,f11=[r3],16
+  // load C_3,C_4
+  ldfpd f15,f42=[r2],16
+  (p8) shr.u r28=r25,63-8;;
+}
+
+
+{.mfi
+  // load C_5, C_6
+  ldfpd f12,f13=[r3]
+  // pseudo-zero ?
+  fcmp.eq.s0 p7,p0=f7,f0
+  // if first 9 bits after leading 1 are all zero, then p8=1
+  cmp.ltu p8,p12=r25,r26
+}
+{.mfi
+  // load C1l
+  ldfe f34=[r2],16
+  fmerge.se f7=f1,f7
+  // get T_index
+  and r28=r28,r23;;
+}
+{.mfi
+  // r29=exponent-bias
+  sub r29=r29,r27
+  // if first 8 bits after leading bit are 0, use polynomial approx. only
+  (p8) fms.s1 f6=f7,f1,f1
+  // start address of T_low
+  add r3=1024+16,r2
+}
+{.mfi
+  // load C_2
+  ldfe f35=[r2],16
+  // x=1, return 0
+  (p6) fma.s0 f8=f0,f0,f0
+  // first 8 bits after leading 1 are all ones ?
+  cmp.eq p10,p0=r23,r28;;
+}
+
+{.mfb
+  // if first 8 bits after leading 1 are all ones, use polynomial approx. only
+  // add 1 to the exponent additive term, and estimate log2(1-r)
+  (p10) add r29=1,r29
+  nop.f 0
+  (p7) br.cond.spnt LOG2_PSEUDO_ZERO 
+}
+{.mfi
+  // get T_low adress 
+  shladd r3=r28,3,r3
+  // if first 8 bits after leading 1 are all ones, use polynomial approx. only
+  (p10) fms.s1 f6=f7,f36,f1
+  // p10 --> p8=1, p12=0
+  (p10) cmp.eq p8,p12=r0,r0;;
+}
+
+{.mfi
+  // get T_high address
+  shladd r2=r28,2,r2
+  // L(x*y)=x*y-RN(x*y)
+  fms.s1 f41=f41,f8,f43
+  nop.i 0
+}
+{.mfi
+  // p13=p12
+  (p12) cmp.eq.unc p13,p0=r0,r0
+  // RtH=RN(x*y)-1  (will eliminate rounding errors in r)
+  fms.s1 f43=f43,f1,f1
+  nop.i 0;;
+}
+
+.pred.rel "mutex",p8,p12
+{.mfb
+  // load T_high (unless first 9 bits after leading 1 are 0)
+  (p12) ldfs f7=[r2]
+  // set T_high=0 (if first 9 bits after leading 1 are 0)
+  (p8) fma.s1 f7=f0,f0,f0
+  // x=1, return
+  (p6) br.ret.spnt b0
+}
+.pred.rel "mutex",p8,p12
+{.mfi
+  // p12: load T_low
+  (p12) ldfd f36=[r3]
+  // p8: set T_low=0
+  (p8) fma.s1 f36=f0,f0,f0
+  (p8) cmp.eq p8,p12=r29,r0;; //nop.i 0;;
+}
+
+.pred.rel "mutex",p8,p12
+{.mfi
+  // f8=expon - bias 
+  setf.sig f8=r29
+  // general case: 2^{16}+C1*r
+  (p12) fma.s1 f33=f6,f14,f32
+  nop.i 0
+}
+{.mfi
+  // r26=1
+  mov r26=1
+  // p8 (mantissa is close to 1, or close to 2): 2^{-8}+C1*r
+  (p8) fma.s1 f32=f6,f14,f33
+  nop.i 0;;
+}
+
+{.mfi
+  nop.m 0
+  // P78=C_7+C_8*r
+  fma.s1 f10=f11,f6,f10
+  // r26=2^{63}
+  shl r26=r26,63
+}
+{.mfi
+  nop.m 0
+  // P34=C_3+r*C_4
+  fma.s1 f15=f42,f6,f15
+  nop.i 0;;
+}
+{.mfi
+  nop.m 0
+  // r2=r*r
+  fma.s1 f11=f6,f6,f0
+  nop.i 0
+}
+{.mfi
+  nop.m 0
+  // P56=C_5+C_6*r
+  fma.s1 f13=f13,f6,f12
+  nop.i 0;;
+}
+
+{.mfi
+  nop.m 0
+  // Rth-r
+  (p13) fms.s1 f43=f43,f1,f6
+  nop.i 0
+}
+{.mfi
+  // significand(x)=1 ?
+  cmp.eq p0,p6=r25,r26
+  // P12=C1l+C_2*r
+  fma.s1 f34=f35,f6,f34
+  nop.i 0;;
+}
+
+.pred.rel "mutex",p8,p12
+{.mfi
+  nop.m 0
+  // p12: C1r=(2^{16}+C1*r)-2^{16}
+  (p12) fms.s1 f32=f33,f1,f32
+  nop.i 0
+}
+{.mfi
+  nop.m 0
+  // p8: C1r=C1*r (double extended)
+  (p8) fms.s1 f32=f32,f1,f33
+  nop.i 0;;
+}
+
+{.mfi
+  nop.m 0
+  // L(x*y)*C_1+T_low
+  (p13) fma.s1 f36=f41,f14,f36
+  nop.i 0
+}
+{.mfi
+  nop.m 0
+  // P58=P56+r2*P78
+  fma.s1 f13=f11,f10,f13
+  nop.i 0;;
+}
+{.mfi
+  nop.m 0
+  // P14=P12+r2*P34
+  fma.s1 f15=f15,f11,f34
+  nop.i 0
+}
+{.mfi
+  nop.m 0
+  // r4=r2*r2
+  fma.s1 f11=f11,f11,f0
+  nop.i 0;;
+}
+
+{.mfi
+  nop.m 0
+  // normalize additive term (l=exponent of x)
+  fcvt.xf f8=f8
+  nop.i 0;;
+}
+
+
+{.mfi
+  nop.m 0
+  // D=C1*r-C1r
+  (p6) fms.s1 f12=f14,f6,f32
+  nop.i 0;;
+}
+
+{.mfi
+  nop.m 0
+  // T_low'=(Rth-r)*C1+(L(x*y)*C1+T_low)
+  (p13) fma.s1 f36=f43,f14,f36
+  nop.i 0;;
+}
+{.mfi
+  nop.m 0
+  // P18=P14+r4*P58
+  (p6) fma.s1 f13=f11,f13,f15
+  nop.i 0;;
+}
+
+{.mfi
+  nop.m 0
+  // add T_high+l
+  (p6) fma.s1 f8=f8,f1,f7
+  nop.i 0;;
+}
+
+
+{.mfi
+  nop.m 0
+  // D+T_low
+  (p6) fma.s1 f12=f12,f1,f36
+  nop.i 0;;
+}
+
+
+{.mfi
+  nop.m 0
+  // (T_high+l)+C1r
+  (p6) fma.s1 f8=f8,f1,f32
+  nop.i 0
+}
+{.mfi
+  nop.m 0
+  // (D+T_low)+r*P18
+  (p6) fma.s1 f13=f13,f6,f12
+  nop.i 0;;
+}
+
+//{.mfb
+//nop.m 0
+//mov f8=f36
+//fma.s0 f8=f13,f6,f0
+//br.ret.sptk b0;;
+//}
+
+
+{.mfb
+  nop.m 0
+  // result=((T_high+l)+C1r)+((D+T_low)+r*P18)
+  (p6) fma.s0 f8=f13,f1,f8
+  // return
+  br.ret.sptk b0;;
+}
+
+
+SPECIAL_log2l:
+{.mfi
+  nop.m 0
+  mov FR_X=f8
+  nop.i 0
+}
+{.mfi 
+  nop.m 0
+  // x=+Infinity ?
+  fclass.m p7,p0=f8,0x21
+  nop.i 0;;
+}
+{.mfi
+  nop.m 0
+  // x=+/-Zero ?
+  fclass.m p8,p0=f7,0x7
+  nop.i 0;;
+}
+{.mfi
+  nop.m 0
+  // x=-Infinity, -normal, -denormal ?
+  fclass.m p6,p0=f8,0x3a
+  nop.i 0;;
+}
+{.mfb
+  nop.m 0
+  // log2l(+Infinity)=+Infinity
+  nop.f 0
+  (p7) br.ret.spnt b0;;
+}
+{.mfi
+  (p8) mov GR_Parameter_TAG = 168                          
+  // log2l(+/-0)=-infinity, raises Divide by Zero
+  // set f8=-0
+  (p8) fmerge.ns f8=f0,f8
+  nop.i 0;;
+}
+{.mfb
+  nop.m 0
+  (p8) frcpa.s0 f8,p0=f1,f8
+  (p8) br.cond.sptk __libm_error_region;;
+}
+{.mfb
+  (p6) mov GR_Parameter_TAG = 169 
+  // x<0: return NaN, raise Invalid
+  (p6) frcpa.s0 f8,p0=f0,f0
+  (p6) br.cond.sptk __libm_error_region;;
+}                          
+  
+
+{.mfb
+  nop.m 0
+  // Remaining cases: NaNs
+  fma.s0 f8=f8,f1,f0
+  br.ret.sptk b0;;
+}
+
+LOG2_PSEUDO_ZERO:
+
+{.mfi
+  nop.m 0
+  mov FR_X=f8
+  nop.i 0
+}
+{.mfi
+  mov GR_Parameter_TAG = 168                          
+  // log2l(+/-0)=-infinity, raises Divide by Zero
+  // set f8=-0
+  fmerge.ns f8=f0,f8
+  nop.i 0;;
+}
+{.mfb
+  nop.m 0
+  frcpa.s0 f8,p0=f1,f8
+  br.cond.sptk __libm_error_region;;
+}
+
+
+GLOBAL_IEEE754_END(log2l)
+
+LOCAL_LIBM_ENTRY(__libm_error_region)
+.prologue
+{ .mfi
+        add   GR_Parameter_Y=-32,sp             // Parameter 2 value
+        nop.f 0
+.save   ar.pfs,GR_SAVE_PFS
+        mov  GR_SAVE_PFS=ar.pfs                 // Save ar.pfs 
+}
+{ .mfi
+.fframe 64 
+        add sp=-64,sp                           // Create new stack
+        nop.f 0
+        mov GR_SAVE_GP=gp                       // Save gp
+};;
+{ .mmi
+        stfe [GR_Parameter_Y] = FR_Y,16         // STORE Parameter 2 on stack
+        add GR_Parameter_X = 16,sp              // Parameter 1 address
+.save   b0, GR_SAVE_B0                      
+        mov GR_SAVE_B0=b0                       // Save b0 
+};;
+.body
+{ .mib
+        stfe [GR_Parameter_X] = FR_X                  // STORE Parameter 1 on stack 
+        add   GR_Parameter_RESULT = 0,GR_Parameter_Y  // Parameter 3 address 
+	nop.b 0                                      
+}
+{ .mib
+        stfe [GR_Parameter_Y] = FR_RESULT             // STORE Parameter 3 on stack
+        add   GR_Parameter_Y = -16,GR_Parameter_Y  
+        br.call.sptk b0=__libm_error_support#         // Call error handling function
+};;
+{ .mmi
+        nop.m 0
+        nop.m 0
+        add   GR_Parameter_RESULT = 48,sp
+};;
+{ .mmi
+        ldfe  f8 = [GR_Parameter_RESULT]       // Get return result off stack
+.restore sp
+        add   sp = 64,sp                       // Restore stack pointer
+        mov   b0 = GR_SAVE_B0                  // Restore return address
+};;
+{ .mib
+        mov   gp = GR_SAVE_GP                  // Restore gp 
+        mov   ar.pfs = GR_SAVE_PFS             // Restore ar.pfs
+        br.ret.sptk     b0                     // Return
+};; 
+
+LOCAL_LIBM_END(__libm_error_region)
+.type   __libm_error_support#,@function
+.global __libm_error_support#
+
+
diff --git a/sysdeps/ia64/fpu/e_logf.S b/sysdeps/ia64/fpu/e_logf.S
index 829d0abed0..0ca6d3f2c8 100644
--- a/sysdeps/ia64/fpu/e_logf.S
+++ b/sysdeps/ia64/fpu/e_logf.S
@@ -1,10 +1,10 @@
 .file "logf.s"
 
-// Copyright (C) 2000, 2001, Intel Corporation
+
+// Copyright (c) 2000 - 2003, Intel Corporation
 // All rights reserved.
-// 
-// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story,
-// and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
 //
 // Redistribution and use in source and binary forms, with or without
 // modification, are permitted provided that the following conditions are
@@ -20,861 +20,1072 @@
 // * The name of Intel Corporation may not be used to endorse or promote
 // products derived from this software without specific prior written
 // permission.
-//
-// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
-// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
-// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS 
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
 // CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
-// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, 
-// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 
-// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY 
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
 // OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
-// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 
-// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 
-// 
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+//
 // Intel Corporation is the author of this code, and requests that all
-// problem reports or change requests be submitted to it directly at 
-// http://developer.intel.com/opensource.
+// problem reports or change requests be submitted to it directly at
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
 //
 // History
 //==============================================================
-// 3/01/00  Initial version
-// 8/15/00  Bundle added after call to __libm_error_support to properly
+// 03/01/00 Initial version
+// 08/15/00 Bundle added after call to __libm_error_support to properly
 //          set [the previously overwritten] GR_Parameter_RESULT.
-// 1/10/01  Improved speed, fixed flags for neg denormals
-//
+// 01/10/01 Improved speed, fixed flags for neg denormals
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 05/23/02 Modified algorithm. Now only one polynomial is used
+//          for |x-1| >= 1/256 and for |x-1| < 1/256
+// 02/10/03 Reordered header: .section, .global, .proc, .align
 //
 // API
 //==============================================================
 // float logf(float)
 // float log10f(float)
 //
+//
 // Overview of operation
 //==============================================================
 // Background
+// ----------
 //
-// Consider  x = 2^N 1.f1 f2 f3 f4...f63
-// Log(x) = log(frcpa(x) x/frcpa(x))
-//        = log(1/frcpa(x)) + log(frcpa(x) x)
-//        = -log(frcpa(x)) + log(frcpa(x) x)
+// This algorithm is based on fact that
+// log(a b) = log(a) + log(b).
 //
-// frcpa(x)       = 2^-N frcpa((1.f1 f2 ... f63)
+// In our case we have x = 2^N f, where 1 <= f < 2.
+// So
+//   log(x) = log(2^N f) = log(2^N) + log(f) = n*log(2) + log(f)
 //
-// -log(frcpa(x)) = -log(C) 
-//                = -log(2^-N) - log(frcpa(1.f1 f2 ... f63))
+// To calculate log(f) we do following
+//   log(f) = log(f * frcpa(f) / frcpa(f)) =
+//          = log(f * frcpa(f)) + log(1/frcpa(f))
 //
-// -log(frcpa(x)) = -log(C) 
-//                = +Nlog2 - log(frcpa(1.f1 f2 ... f63))
+// According to definition of IA-64's frcpa instruction it's a
+// floating point that approximates 1/f using a lookup on the
+// top of 8 bits of the input number's significand with relative
+// error < 2^(-8.886). So we have following
 //
-// -log(frcpa(x)) = -log(C) 
-//                = +Nlog2 + log(frcpa(1.f1 f2 ... f63))
+// |(1/f - frcpa(f)) / (1/f))| = |1 - f*frcpa(f)| < 1/256
 //
-// Log(x) = log(1/frcpa(x)) + log(frcpa(x) x)
-
-// Log(x) =  +Nlog2 + log(1./frcpa(1.f1 f2 ... f63)) + log(frcpa(x) x)
-// Log(x) =  +Nlog2 - log(/frcpa(1.f1 f2 ... f63))   + log(frcpa(x) x)
-// Log(x) =  +Nlog2 + T                              + log(frcpa(x) x)
+// and
+//
+// log(f) = log(f * frcpa(f)) + log(1/frcpa(f)) =
+//        = log(1 + r) + T
+//
+// The first value can be computed by polynomial P(r) approximating
+// log(1 + r) on |r| < 1/256 and the second is precomputed tabular
+// value defined by top 8 bit of f.
+//
+// Finally we have that  log(x) ~ (N*log(2) + T) + P(r)
+//
+// Note that if input argument is close to 1.0 (in our case it means
+// that |1 - x| < 1/256) we can use just polynomial approximation
+// because x = 2^0 * f = f = 1 + r and
+// log(x) = log(1 + r) ~ P(r)
+//
+//
+// To compute log10(x) we just use identity:
 //
-// Log(x) =  +Nlog2 + T                     + log(C x)
+//  log10(x) = log(x)/log(10)
 //
-// Cx = 1 + r
+// so we have that
 //
-// Log(x) =  +Nlog2 + T  + log(1+r)
-// Log(x) =  +Nlog2 + T  + Series( r - r^2/2 + r^3/3 - r^4/4 ....)
+//  log10(x) = (N*log(2) + T  + log(1+r)) / log(10) =
+//           = N*(log(2)/log(10)) + (T/log(10)) + log(1 + r)/log(10)
 //
-// 1.f1 f2 ... f8 has 256 entries.
-// They are 1 + k/2^8, k = 0 ... 255
-// These 256 values are the table entries.
 //
 // Implementation
-//===============
-// CASE 1:  |x-1| >= 2^-8
-// C = frcpa(x)
-// r = C * x - 1
+// --------------
+// It can be seen that formulas for log and log10 differ from one another
+// only by coefficients and tabular values. Namely as log as log10 are
+// calculated as (N*L1 + T) + L2*Series(r) where in case of log
+//   L1 = log(2)
+//   T  = log(1/frcpa(x))
+//   L2 = 1.0
+// and in case of log10
+//   L1 = log(2)/log(10)
+//   T  = log(1/frcpa(x))/log(10)
+//   L2 = 1.0/log(10)
 //
-// Form rseries = r + P1*r^2 + P2*r^3 + P3*r^4
+// So common code with two different entry points those set pointers
+// to the base address of coresponding data sets containing values
+// of L2,T and prepare integer representation of L1 needed for following
+// setf instruction can be used.
 //
-// x = f * 2*n where f is 1.f_1f_2f_3....f_63
-// Nfloat = float(n)  where n is the true unbiased exponent
-// pre-index = f_1f_2....f_8
-// index = pre_index * 16
-// get the dxt table entry at index + offset = T
+// Note that both log and log10 use common approximation polynomial
+// it means we need only one set of coefficients of approximation.
 //
-// result = (T + Nfloat * log(2)) + rseries
+// 1. Computation of log(x) for |x-1| >= 1/256
+//   InvX = frcpa(x)
+//   r = InvX*x - 1
+//   P(r) = r*((1 - A2*r) + r^2*(A3 - A4*r)) = r*P2(r),
+//   A4,A3,A2 are created with setf inctruction.
+//   We use Taylor series and so A4 = 1/4, A3 = 1/3,
+//   A2 = 1/2 rounded to double.
 //
-// The T table is calculated as follows
-// Form x_k = 1 + k/2^8 where k goes from 0... 255
-//      y_k = frcpa(x_k)
-//      log(1/y_k)  in quad and round to double
-
-// CASE 2:  |x-1| < 2^-6
-// w = x - 1
+//   N = float(n) where n is true unbiased exponent of x
 //
-// Form wseries = w + Q1*w^2 + Q2*w^3 + Q3*w^4
+//   T is tabular value of log(1/frcpa(x)) calculated in quad precision
+//   and rounded to double. To T we get bits from 55 to 62 of register
+//   format significand of x and calculate address
+//     ad_T = table_base_addr + 8 * index
 //
-// result = wseries
-
-// Special values 
+//   L2 (1.0 or 1.0/log(10) depending on function) is calculated in quad
+//   precision and rounded to double; it's loaded from memory
+//
+//   L1 (log(2) or log10(2) depending on function) is calculated in quad
+//   precision and rounded to double; it's created with setf.
+//
+//   And final result = P2(r)*(r*L2) + (T + N*L1)
+//
+//
+// 2. Computation of log(x) for |x-1| < 1/256
+//   r = x - 1
+//   P(r) = r*((1 - A2*r) + r^2*(A3 - A4*r)) = r*P2(r),
+//   A4,A3,A2 are the same as in case |x-1| >= 1/256
+//
+//   And final result = P2(r)*(r*L2)
+//
+// 3. How we define is input argument such that |x-1| < 1/256 or not.
+//
+//    To do it we analyze biased exponent and significand of input argment.
+//
+//      a) First we test is biased exponent equal to 0xFFFE or 0xFFFF (i.e.
+//         we test is 0.5 <= x < 2). This comparison can be performed using
+//         unsigned version of cmp instruction in such a way
+//         biased_exponent_of_x - 0xFFFE < 2
+//
+//
+//      b) Second (in case when result of a) is true) we need to compare x
+//         with 1-1/256 and 1+1/256 or in register format representation with
+//         0xFFFEFF00000000000000 and 0xFFFF8080000000000000 correspondingly.
+//         As far as biased exponent of x here can be equal only to 0xFFFE or
+//         0xFFFF we need to test only last bit of it. Also signifigand always
+//         has implicit bit set to 1 that can be exluded from comparison.
+//         Thus it's quite enough to generate 64-bit integer bits of that are
+//         ix[63] = biased_exponent_of_x[0] and ix[62-0] = significand_of_x[62-0]
+//         and compare it with 0x7F00000000000000 and 0x80800000000000000 (those
+//         obtained like ix from register representatinos of 255/256 and
+//         257/256). This comparison can be made like in a), using unsigned
+//         version of cmp i.e. ix - 0x7F00000000000000 < 0x0180000000000000.
+//         0x0180000000000000 is difference between 0x80800000000000000 and
+//         0x7F00000000000000.
+//
+//    Note: NaT, any NaNs, +/-INF, +/-0, negatives and unnormalized numbers are
+//          filtered and processed on special branches.
+//
+//
+// Special values
 //==============================================================
-
-
-// log(+0)    = -inf
-// log(-0)    = -inf
-
-// log(+qnan) = +qnan 
-// log(-qnan) = -qnan 
-// log(+snan) = +qnan 
-// log(-snan) = -qnan 
-
-// log(-n)    = QNAN Indefinite
-// log(-inf)  = QNAN Indefinite 
-
-// log(+inf)  = +inf
-
+//
+// logf(+0)    = -inf
+// logf(-0)    = -inf
+//
+// logf(+qnan) = +qnan
+// logf(-qnan) = -qnan
+// logf(+snan) = +qnan
+// logf(-snan) = -qnan
+//
+// logf(-n)    = QNAN Indefinite
+// logf(-inf)  = QNAN Indefinite
+//
+// logf(+inf)  = +inf
+//
 // Registers used
 //==============================================================
-// Floating Point registers used: 
+// Floating Point registers used:
 // f8, input
-// f9 -> f15,  f32 -> f47
-
-// General registers used:  
-// r32 -> r51
-
+// f12 -> f14,  f33 -> f39
+//
+// General registers used:
+// r8  -> r11
+// r14 -> r19
+//
 // Predicate registers used:
-// p6 -> p15
+// p6 -> p12
 
-// p8 log base e
-// p6 log base e special
-// p9 used in the frcpa
-// p13 log base e large W
-// p14 log base e small w
-
-// p7 log base 10
-// p10 log base 10 large W
-// p11 log base 10 small w
-// p12 log base 10 special
-
-#include "libm_support.h"
 
 // Assembly macros
 //==============================================================
 
-log_int_Nfloat   = f9 
-log_Nfloat       = f10 
-
-log_P3           = f11 
-log_P2           = f12 
-log_P1           = f13 
-log_inv_ln10     = f14
-log_log2         = f15 
-
-log_w            = f32
-log_T            = f33 
-log_rp_p32       = f34 
-log_rp_p2        = f35 
-log_rp_p10       = f36
-log_rsq          = f37 
-log_T_plus_Nlog2 = f38 
-log_r            = f39
-log_C            = f40
-log_rp_q32       = f41
-log_rp_q2        = f42
-log_rp_q10       = f43
-log_wsq          = f44
-log_Q            = f45
-log_inv_ln10     = f46
-log_NORM_f8      = f47
-
-// ===================================
-
-log_GR_exp_17_ones               = r33
-log_GR_exp_16_ones               = r34
-log_GR_exp_f8                    = r35
-log_GR_signexp_f8                = r36
-log_GR_true_exp_f8               = r37
-log_GR_significand_f8            = r38
-log_GR_index                     = r39
-log_AD_1                         = r40
-log_GR_signexp_w                 = r41
-log_GR_fff7                      = r42
-log_AD_2                         = r43
-log_GR_exp_w                     = r44
-
-GR_SAVE_B0                       = r45
-GR_SAVE_GP                       = r46
-GR_SAVE_PFS                      = r47
-
-GR_Parameter_X                   = r48
-GR_Parameter_Y                   = r49
-GR_Parameter_RESULT              = r50
-log_GR_tag                       = r51
+GR_TAG                 = r8
+GR_ad_T                = r8
+GR_N                   = r9
+GR_Exp                 = r10
+GR_Sig                 = r11
+
+GR_025                 = r14
+GR_05                  = r15
+GR_A3                  = r16
+GR_Ind                 = r17
+GR_dx                  = r15
+GR_Ln2                 = r19
+GR_de                  = r20
+GR_x                   = r21
+GR_xorg                = r22
+
+GR_SAVE_B0             = r33
+GR_SAVE_PFS            = r34
+GR_SAVE_GP             = r35
+GR_SAVE_SP             = r36
+
+GR_Parameter_X         = r37
+GR_Parameter_Y         = r38
+GR_Parameter_RESULT    = r39
+GR_Parameter_TAG       = r40
+
+
+FR_A2                  = f12
+FR_A3                  = f13
+FR_A4                  = f14
+
+FR_RcpX                = f33
+FR_r                   = f34
+FR_r2                  = f35
+FR_tmp                 = f35
+FR_Ln2                 = f36
+FR_T                   = f37
+FR_N                   = f38
+FR_NxLn2pT             = f38
+FR_NormX               = f39
+FR_InvLn10             = f40
+
+
+FR_Y                   = f1
+FR_X                   = f10
+FR_RESULT              = f8
 
 
 // Data tables
 //==============================================================
-
-#ifdef _LIBC
-.rodata
-#else
-.data
-#endif
-
+RODATA
 .align 16
-
-log_table_1:
-ASM_TYPE_DIRECTIVE(log_table_1,@object)
-data8 0xbfd0001008f39d59    // p3
-data8 0x3fd5556073e0c45a    // p2
-ASM_SIZE_DIRECTIVE(log_table_1)
-
-log_table_2:
-ASM_TYPE_DIRECTIVE(log_table_2,@object)
-data8 0xbfdffffffffaea15    // p1
-data8 0x3fdbcb7b1526e50e    // 1/ln10
-data8 0x3fe62e42fefa39ef    // Log(2)
-data8 0x0                   // pad
-
-data8 0x3F60040155D5889E    //log(1/frcpa(1+   0/256)
-data8 0x3F78121214586B54    //log(1/frcpa(1+   1/256)
-data8 0x3F841929F96832F0    //log(1/frcpa(1+   2/256)
-data8 0x3F8C317384C75F06    //log(1/frcpa(1+   3/256)
-data8 0x3F91A6B91AC73386    //log(1/frcpa(1+   4/256)
-data8 0x3F95BA9A5D9AC039    //log(1/frcpa(1+   5/256)
-data8 0x3F99D2A8074325F4    //log(1/frcpa(1+   6/256)
-data8 0x3F9D6B2725979802    //log(1/frcpa(1+   7/256)
-data8 0x3FA0C58FA19DFAAA    //log(1/frcpa(1+   8/256)
-data8 0x3FA2954C78CBCE1B    //log(1/frcpa(1+   9/256)
-data8 0x3FA4A94D2DA96C56    //log(1/frcpa(1+  10/256)
-data8 0x3FA67C94F2D4BB58    //log(1/frcpa(1+  11/256)
-data8 0x3FA85188B630F068    //log(1/frcpa(1+  12/256)
-data8 0x3FAA6B8ABE73AF4C    //log(1/frcpa(1+  13/256)
-data8 0x3FAC441E06F72A9E    //log(1/frcpa(1+  14/256)
-data8 0x3FAE1E6713606D07    //log(1/frcpa(1+  15/256)
-data8 0x3FAFFA6911AB9301    //log(1/frcpa(1+  16/256)
-data8 0x3FB0EC139C5DA601    //log(1/frcpa(1+  17/256)
-data8 0x3FB1DBD2643D190B    //log(1/frcpa(1+  18/256)
-data8 0x3FB2CC7284FE5F1C    //log(1/frcpa(1+  19/256)
-data8 0x3FB3BDF5A7D1EE64    //log(1/frcpa(1+  20/256)
-data8 0x3FB4B05D7AA012E0    //log(1/frcpa(1+  21/256)
-data8 0x3FB580DB7CEB5702    //log(1/frcpa(1+  22/256)
-data8 0x3FB674F089365A7A    //log(1/frcpa(1+  23/256)
-data8 0x3FB769EF2C6B568D    //log(1/frcpa(1+  24/256)
-data8 0x3FB85FD927506A48    //log(1/frcpa(1+  25/256)
-data8 0x3FB9335E5D594989    //log(1/frcpa(1+  26/256)
-data8 0x3FBA2B0220C8E5F5    //log(1/frcpa(1+  27/256)
-data8 0x3FBB0004AC1A86AC    //log(1/frcpa(1+  28/256)
-data8 0x3FBBF968769FCA11    //log(1/frcpa(1+  29/256)
-data8 0x3FBCCFEDBFEE13A8    //log(1/frcpa(1+  30/256)
-data8 0x3FBDA727638446A2    //log(1/frcpa(1+  31/256)
-data8 0x3FBEA3257FE10F7A    //log(1/frcpa(1+  32/256)
-data8 0x3FBF7BE9FEDBFDE6    //log(1/frcpa(1+  33/256)
-data8 0x3FC02AB352FF25F4    //log(1/frcpa(1+  34/256)
-data8 0x3FC097CE579D204D    //log(1/frcpa(1+  35/256)
-data8 0x3FC1178E8227E47C    //log(1/frcpa(1+  36/256)
-data8 0x3FC185747DBECF34    //log(1/frcpa(1+  37/256)
-data8 0x3FC1F3B925F25D41    //log(1/frcpa(1+  38/256)
-data8 0x3FC2625D1E6DDF57    //log(1/frcpa(1+  39/256)
-data8 0x3FC2D1610C86813A    //log(1/frcpa(1+  40/256)
-data8 0x3FC340C59741142E    //log(1/frcpa(1+  41/256)
-data8 0x3FC3B08B6757F2A9    //log(1/frcpa(1+  42/256)
-data8 0x3FC40DFB08378003    //log(1/frcpa(1+  43/256)
-data8 0x3FC47E74E8CA5F7C    //log(1/frcpa(1+  44/256)
-data8 0x3FC4EF51F6466DE4    //log(1/frcpa(1+  45/256)
-data8 0x3FC56092E02BA516    //log(1/frcpa(1+  46/256)
-data8 0x3FC5D23857CD74D5    //log(1/frcpa(1+  47/256)
-data8 0x3FC6313A37335D76    //log(1/frcpa(1+  48/256)
-data8 0x3FC6A399DABBD383    //log(1/frcpa(1+  49/256)
-data8 0x3FC70337DD3CE41B    //log(1/frcpa(1+  50/256)
-data8 0x3FC77654128F6127    //log(1/frcpa(1+  51/256)
-data8 0x3FC7E9D82A0B022D    //log(1/frcpa(1+  52/256)
-data8 0x3FC84A6B759F512F    //log(1/frcpa(1+  53/256)
-data8 0x3FC8AB47D5F5A310    //log(1/frcpa(1+  54/256)
-data8 0x3FC91FE49096581B    //log(1/frcpa(1+  55/256)
-data8 0x3FC981634011AA75    //log(1/frcpa(1+  56/256)
-data8 0x3FC9F6C407089664    //log(1/frcpa(1+  57/256)
-data8 0x3FCA58E729348F43    //log(1/frcpa(1+  58/256)
-data8 0x3FCABB55C31693AD    //log(1/frcpa(1+  59/256)
-data8 0x3FCB1E104919EFD0    //log(1/frcpa(1+  60/256)
-data8 0x3FCB94EE93E367CB    //log(1/frcpa(1+  61/256)
-data8 0x3FCBF851C067555F    //log(1/frcpa(1+  62/256)
-data8 0x3FCC5C0254BF23A6    //log(1/frcpa(1+  63/256)
-data8 0x3FCCC000C9DB3C52    //log(1/frcpa(1+  64/256)
-data8 0x3FCD244D99C85674    //log(1/frcpa(1+  65/256)
-data8 0x3FCD88E93FB2F450    //log(1/frcpa(1+  66/256)
-data8 0x3FCDEDD437EAEF01    //log(1/frcpa(1+  67/256)
-data8 0x3FCE530EFFE71012    //log(1/frcpa(1+  68/256)
-data8 0x3FCEB89A1648B971    //log(1/frcpa(1+  69/256)
-data8 0x3FCF1E75FADF9BDE    //log(1/frcpa(1+  70/256)
-data8 0x3FCF84A32EAD7C35    //log(1/frcpa(1+  71/256)
-data8 0x3FCFEB2233EA07CD    //log(1/frcpa(1+  72/256)
-data8 0x3FD028F9C7035C1C    //log(1/frcpa(1+  73/256)
-data8 0x3FD05C8BE0D9635A    //log(1/frcpa(1+  74/256)
-data8 0x3FD085EB8F8AE797    //log(1/frcpa(1+  75/256)
-data8 0x3FD0B9C8E32D1911    //log(1/frcpa(1+  76/256)
-data8 0x3FD0EDD060B78081    //log(1/frcpa(1+  77/256)
-data8 0x3FD122024CF0063F    //log(1/frcpa(1+  78/256)
-data8 0x3FD14BE2927AECD4    //log(1/frcpa(1+  79/256)
-data8 0x3FD180618EF18ADF    //log(1/frcpa(1+  80/256)
-data8 0x3FD1B50BBE2FC63B    //log(1/frcpa(1+  81/256)
-data8 0x3FD1DF4CC7CF242D    //log(1/frcpa(1+  82/256)
-data8 0x3FD214456D0EB8D4    //log(1/frcpa(1+  83/256)
-data8 0x3FD23EC5991EBA49    //log(1/frcpa(1+  84/256)
-data8 0x3FD2740D9F870AFB    //log(1/frcpa(1+  85/256)
-data8 0x3FD29ECDABCDFA04    //log(1/frcpa(1+  86/256)
-data8 0x3FD2D46602ADCCEE    //log(1/frcpa(1+  87/256)
-data8 0x3FD2FF66B04EA9D4    //log(1/frcpa(1+  88/256)
-data8 0x3FD335504B355A37    //log(1/frcpa(1+  89/256)
-data8 0x3FD360925EC44F5D    //log(1/frcpa(1+  90/256)
-data8 0x3FD38BF1C3337E75    //log(1/frcpa(1+  91/256)
-data8 0x3FD3C25277333184    //log(1/frcpa(1+  92/256)
-data8 0x3FD3EDF463C1683E    //log(1/frcpa(1+  93/256)
-data8 0x3FD419B423D5E8C7    //log(1/frcpa(1+  94/256)
-data8 0x3FD44591E0539F49    //log(1/frcpa(1+  95/256)
-data8 0x3FD47C9175B6F0AD    //log(1/frcpa(1+  96/256)
-data8 0x3FD4A8B341552B09    //log(1/frcpa(1+  97/256)
-data8 0x3FD4D4F3908901A0    //log(1/frcpa(1+  98/256)
-data8 0x3FD501528DA1F968    //log(1/frcpa(1+  99/256)
-data8 0x3FD52DD06347D4F6    //log(1/frcpa(1+ 100/256)
-data8 0x3FD55A6D3C7B8A8A    //log(1/frcpa(1+ 101/256)
-data8 0x3FD5925D2B112A59    //log(1/frcpa(1+ 102/256)
-data8 0x3FD5BF406B543DB2    //log(1/frcpa(1+ 103/256)
-data8 0x3FD5EC433D5C35AE    //log(1/frcpa(1+ 104/256)
-data8 0x3FD61965CDB02C1F    //log(1/frcpa(1+ 105/256)
-data8 0x3FD646A84935B2A2    //log(1/frcpa(1+ 106/256)
-data8 0x3FD6740ADD31DE94    //log(1/frcpa(1+ 107/256)
-data8 0x3FD6A18DB74A58C5    //log(1/frcpa(1+ 108/256)
-data8 0x3FD6CF31058670EC    //log(1/frcpa(1+ 109/256)
-data8 0x3FD6F180E852F0BA    //log(1/frcpa(1+ 110/256)
-data8 0x3FD71F5D71B894F0    //log(1/frcpa(1+ 111/256)
-data8 0x3FD74D5AEFD66D5C    //log(1/frcpa(1+ 112/256)
-data8 0x3FD77B79922BD37E    //log(1/frcpa(1+ 113/256)
-data8 0x3FD7A9B9889F19E2    //log(1/frcpa(1+ 114/256)
-data8 0x3FD7D81B037EB6A6    //log(1/frcpa(1+ 115/256)
-data8 0x3FD8069E33827231    //log(1/frcpa(1+ 116/256)
-data8 0x3FD82996D3EF8BCB    //log(1/frcpa(1+ 117/256)
-data8 0x3FD85855776DCBFB    //log(1/frcpa(1+ 118/256)
-data8 0x3FD8873658327CCF    //log(1/frcpa(1+ 119/256)
-data8 0x3FD8AA75973AB8CF    //log(1/frcpa(1+ 120/256)
-data8 0x3FD8D992DC8824E5    //log(1/frcpa(1+ 121/256)
-data8 0x3FD908D2EA7D9512    //log(1/frcpa(1+ 122/256)
-data8 0x3FD92C59E79C0E56    //log(1/frcpa(1+ 123/256)
-data8 0x3FD95BD750EE3ED3    //log(1/frcpa(1+ 124/256)
-data8 0x3FD98B7811A3EE5B    //log(1/frcpa(1+ 125/256)
-data8 0x3FD9AF47F33D406C    //log(1/frcpa(1+ 126/256)
-data8 0x3FD9DF270C1914A8    //log(1/frcpa(1+ 127/256)
-data8 0x3FDA0325ED14FDA4    //log(1/frcpa(1+ 128/256)
-data8 0x3FDA33440224FA79    //log(1/frcpa(1+ 129/256)
-data8 0x3FDA57725E80C383    //log(1/frcpa(1+ 130/256)
-data8 0x3FDA87D0165DD199    //log(1/frcpa(1+ 131/256)
-data8 0x3FDAAC2E6C03F896    //log(1/frcpa(1+ 132/256)
-data8 0x3FDADCCC6FDF6A81    //log(1/frcpa(1+ 133/256)
-data8 0x3FDB015B3EB1E790    //log(1/frcpa(1+ 134/256)
-data8 0x3FDB323A3A635948    //log(1/frcpa(1+ 135/256)
-data8 0x3FDB56FA04462909    //log(1/frcpa(1+ 136/256)
-data8 0x3FDB881AA659BC93    //log(1/frcpa(1+ 137/256)
-data8 0x3FDBAD0BEF3DB165    //log(1/frcpa(1+ 138/256)
-data8 0x3FDBD21297781C2F    //log(1/frcpa(1+ 139/256)
-data8 0x3FDC039236F08819    //log(1/frcpa(1+ 140/256)
-data8 0x3FDC28CB1E4D32FD    //log(1/frcpa(1+ 141/256)
-data8 0x3FDC4E19B84723C2    //log(1/frcpa(1+ 142/256)
-data8 0x3FDC7FF9C74554C9    //log(1/frcpa(1+ 143/256)
-data8 0x3FDCA57B64E9DB05    //log(1/frcpa(1+ 144/256)
-data8 0x3FDCCB130A5CEBB0    //log(1/frcpa(1+ 145/256)
-data8 0x3FDCF0C0D18F326F    //log(1/frcpa(1+ 146/256)
-data8 0x3FDD232075B5A201    //log(1/frcpa(1+ 147/256)
-data8 0x3FDD490246DEFA6B    //log(1/frcpa(1+ 148/256)
-data8 0x3FDD6EFA918D25CD    //log(1/frcpa(1+ 149/256)
-data8 0x3FDD9509707AE52F    //log(1/frcpa(1+ 150/256)
-data8 0x3FDDBB2EFE92C554    //log(1/frcpa(1+ 151/256)
-data8 0x3FDDEE2F3445E4AF    //log(1/frcpa(1+ 152/256)
-data8 0x3FDE148A1A2726CE    //log(1/frcpa(1+ 153/256)
-data8 0x3FDE3AFC0A49FF40    //log(1/frcpa(1+ 154/256)
-data8 0x3FDE6185206D516E    //log(1/frcpa(1+ 155/256)
-data8 0x3FDE882578823D52    //log(1/frcpa(1+ 156/256)
-data8 0x3FDEAEDD2EAC990C    //log(1/frcpa(1+ 157/256)
-data8 0x3FDED5AC5F436BE3    //log(1/frcpa(1+ 158/256)
-data8 0x3FDEFC9326D16AB9    //log(1/frcpa(1+ 159/256)
-data8 0x3FDF2391A2157600    //log(1/frcpa(1+ 160/256)
-data8 0x3FDF4AA7EE03192D    //log(1/frcpa(1+ 161/256)
-data8 0x3FDF71D627C30BB0    //log(1/frcpa(1+ 162/256)
-data8 0x3FDF991C6CB3B379    //log(1/frcpa(1+ 163/256)
-data8 0x3FDFC07ADA69A910    //log(1/frcpa(1+ 164/256)
-data8 0x3FDFE7F18EB03D3E    //log(1/frcpa(1+ 165/256)
-data8 0x3FE007C053C5002E    //log(1/frcpa(1+ 166/256)
-data8 0x3FE01B942198A5A1    //log(1/frcpa(1+ 167/256)
-data8 0x3FE02F74400C64EB    //log(1/frcpa(1+ 168/256)
-data8 0x3FE04360BE7603AD    //log(1/frcpa(1+ 169/256)
-data8 0x3FE05759AC47FE34    //log(1/frcpa(1+ 170/256)
-data8 0x3FE06B5F1911CF52    //log(1/frcpa(1+ 171/256)
-data8 0x3FE078BF0533C568    //log(1/frcpa(1+ 172/256)
-data8 0x3FE08CD9687E7B0E    //log(1/frcpa(1+ 173/256)
-data8 0x3FE0A10074CF9019    //log(1/frcpa(1+ 174/256)
-data8 0x3FE0B5343A234477    //log(1/frcpa(1+ 175/256)
-data8 0x3FE0C974C89431CE    //log(1/frcpa(1+ 176/256)
-data8 0x3FE0DDC2305B9886    //log(1/frcpa(1+ 177/256)
-data8 0x3FE0EB524BAFC918    //log(1/frcpa(1+ 178/256)
-data8 0x3FE0FFB54213A476    //log(1/frcpa(1+ 179/256)
-data8 0x3FE114253DA97D9F    //log(1/frcpa(1+ 180/256)
-data8 0x3FE128A24F1D9AFF    //log(1/frcpa(1+ 181/256)
-data8 0x3FE1365252BF0865    //log(1/frcpa(1+ 182/256)
-data8 0x3FE14AE558B4A92D    //log(1/frcpa(1+ 183/256)
-data8 0x3FE15F85A19C765B    //log(1/frcpa(1+ 184/256)
-data8 0x3FE16D4D38C119FA    //log(1/frcpa(1+ 185/256)
-data8 0x3FE18203C20DD133    //log(1/frcpa(1+ 186/256)
-data8 0x3FE196C7BC4B1F3B    //log(1/frcpa(1+ 187/256)
-data8 0x3FE1A4A738B7A33C    //log(1/frcpa(1+ 188/256)
-data8 0x3FE1B981C0C9653D    //log(1/frcpa(1+ 189/256)
-data8 0x3FE1CE69E8BB106B    //log(1/frcpa(1+ 190/256)
-data8 0x3FE1DC619DE06944    //log(1/frcpa(1+ 191/256)
-data8 0x3FE1F160A2AD0DA4    //log(1/frcpa(1+ 192/256)
-data8 0x3FE2066D7740737E    //log(1/frcpa(1+ 193/256)
-data8 0x3FE2147DBA47A394    //log(1/frcpa(1+ 194/256)
-data8 0x3FE229A1BC5EBAC3    //log(1/frcpa(1+ 195/256)
-data8 0x3FE237C1841A502E    //log(1/frcpa(1+ 196/256)
-data8 0x3FE24CFCE6F80D9A    //log(1/frcpa(1+ 197/256)
-data8 0x3FE25B2C55CD5762    //log(1/frcpa(1+ 198/256)
-data8 0x3FE2707F4D5F7C41    //log(1/frcpa(1+ 199/256)
-data8 0x3FE285E0842CA384    //log(1/frcpa(1+ 200/256)
-data8 0x3FE294294708B773    //log(1/frcpa(1+ 201/256)
-data8 0x3FE2A9A2670AFF0C    //log(1/frcpa(1+ 202/256)
-data8 0x3FE2B7FB2C8D1CC1    //log(1/frcpa(1+ 203/256)
-data8 0x3FE2C65A6395F5F5    //log(1/frcpa(1+ 204/256)
-data8 0x3FE2DBF557B0DF43    //log(1/frcpa(1+ 205/256)
-data8 0x3FE2EA64C3F97655    //log(1/frcpa(1+ 206/256)
-data8 0x3FE3001823684D73    //log(1/frcpa(1+ 207/256)
-data8 0x3FE30E97E9A8B5CD    //log(1/frcpa(1+ 208/256)
-data8 0x3FE32463EBDD34EA    //log(1/frcpa(1+ 209/256)
-data8 0x3FE332F4314AD796    //log(1/frcpa(1+ 210/256)
-data8 0x3FE348D90E7464D0    //log(1/frcpa(1+ 211/256)
-data8 0x3FE35779F8C43D6E    //log(1/frcpa(1+ 212/256)
-data8 0x3FE36621961A6A99    //log(1/frcpa(1+ 213/256)
-data8 0x3FE37C299F3C366A    //log(1/frcpa(1+ 214/256)
-data8 0x3FE38AE2171976E7    //log(1/frcpa(1+ 215/256)
-data8 0x3FE399A157A603E7    //log(1/frcpa(1+ 216/256)
-data8 0x3FE3AFCCFE77B9D1    //log(1/frcpa(1+ 217/256)
-data8 0x3FE3BE9D503533B5    //log(1/frcpa(1+ 218/256)
-data8 0x3FE3CD7480B4A8A3    //log(1/frcpa(1+ 219/256)
-data8 0x3FE3E3C43918F76C    //log(1/frcpa(1+ 220/256)
-data8 0x3FE3F2ACB27ED6C7    //log(1/frcpa(1+ 221/256)
-data8 0x3FE4019C2125CA93    //log(1/frcpa(1+ 222/256)
-data8 0x3FE4181061389722    //log(1/frcpa(1+ 223/256)
-data8 0x3FE42711518DF545    //log(1/frcpa(1+ 224/256)
-data8 0x3FE436194E12B6BF    //log(1/frcpa(1+ 225/256)
-data8 0x3FE445285D68EA69    //log(1/frcpa(1+ 226/256)
-data8 0x3FE45BCC464C893A    //log(1/frcpa(1+ 227/256)
-data8 0x3FE46AED21F117FC    //log(1/frcpa(1+ 228/256)
-data8 0x3FE47A1527E8A2D3    //log(1/frcpa(1+ 229/256)
-data8 0x3FE489445EFFFCCC    //log(1/frcpa(1+ 230/256)
-data8 0x3FE4A018BCB69835    //log(1/frcpa(1+ 231/256)
-data8 0x3FE4AF5A0C9D65D7    //log(1/frcpa(1+ 232/256)
-data8 0x3FE4BEA2A5BDBE87    //log(1/frcpa(1+ 233/256)
-data8 0x3FE4CDF28F10AC46    //log(1/frcpa(1+ 234/256)
-data8 0x3FE4DD49CF994058    //log(1/frcpa(1+ 235/256)
-data8 0x3FE4ECA86E64A684    //log(1/frcpa(1+ 236/256)
-data8 0x3FE503C43CD8EB68    //log(1/frcpa(1+ 237/256)
-data8 0x3FE513356667FC57    //log(1/frcpa(1+ 238/256)
-data8 0x3FE522AE0738A3D8    //log(1/frcpa(1+ 239/256)
-data8 0x3FE5322E26867857    //log(1/frcpa(1+ 240/256)
-data8 0x3FE541B5CB979809    //log(1/frcpa(1+ 241/256)
-data8 0x3FE55144FDBCBD62    //log(1/frcpa(1+ 242/256)
-data8 0x3FE560DBC45153C7    //log(1/frcpa(1+ 243/256)
-data8 0x3FE5707A26BB8C66    //log(1/frcpa(1+ 244/256)
-data8 0x3FE587F60ED5B900    //log(1/frcpa(1+ 245/256)
-data8 0x3FE597A7977C8F31    //log(1/frcpa(1+ 246/256)
-data8 0x3FE5A760D634BB8B    //log(1/frcpa(1+ 247/256)
-data8 0x3FE5B721D295F10F    //log(1/frcpa(1+ 248/256)
-data8 0x3FE5C6EA94431EF9    //log(1/frcpa(1+ 249/256)
-data8 0x3FE5D6BB22EA86F6    //log(1/frcpa(1+ 250/256)
-data8 0x3FE5E6938645D390    //log(1/frcpa(1+ 251/256)
-data8 0x3FE5F673C61A2ED2    //log(1/frcpa(1+ 252/256)
-data8 0x3FE6065BEA385926    //log(1/frcpa(1+ 253/256)
-data8 0x3FE6164BFA7CC06B    //log(1/frcpa(1+ 254/256)
-data8 0x3FE62643FECF9743    //log(1/frcpa(1+ 255/256)
-ASM_SIZE_DIRECTIVE(log_table_2)
-
-   
-.align 32
-.global logf#
-.global log10f#
-
-// log10 has p7 true, p8 false
-// log   has p8 true, p7 false
-
+LOCAL_OBJECT_START(logf_data)
+data8 0x3FF0000000000000 // 1.0
+//
+// ln(1/frcpa(1+i/256)), i=0...255
+data8 0x3F60040155D5889E // 0
+data8 0x3F78121214586B54 // 1
+data8 0x3F841929F96832F0 // 2
+data8 0x3F8C317384C75F06 // 3
+data8 0x3F91A6B91AC73386 // 4
+data8 0x3F95BA9A5D9AC039 // 5
+data8 0x3F99D2A8074325F4 // 6
+data8 0x3F9D6B2725979802 // 7
+data8 0x3FA0C58FA19DFAAA // 8
+data8 0x3FA2954C78CBCE1B // 9
+data8 0x3FA4A94D2DA96C56 // 10
+data8 0x3FA67C94F2D4BB58 // 11
+data8 0x3FA85188B630F068 // 12
+data8 0x3FAA6B8ABE73AF4C // 13
+data8 0x3FAC441E06F72A9E // 14
+data8 0x3FAE1E6713606D07 // 15
+data8 0x3FAFFA6911AB9301 // 16
+data8 0x3FB0EC139C5DA601 // 17
+data8 0x3FB1DBD2643D190B // 18
+data8 0x3FB2CC7284FE5F1C // 19
+data8 0x3FB3BDF5A7D1EE64 // 20
+data8 0x3FB4B05D7AA012E0 // 21
+data8 0x3FB580DB7CEB5702 // 22
+data8 0x3FB674F089365A7A // 23
+data8 0x3FB769EF2C6B568D // 24
+data8 0x3FB85FD927506A48 // 25
+data8 0x3FB9335E5D594989 // 26
+data8 0x3FBA2B0220C8E5F5 // 27
+data8 0x3FBB0004AC1A86AC // 28
+data8 0x3FBBF968769FCA11 // 29
+data8 0x3FBCCFEDBFEE13A8 // 30
+data8 0x3FBDA727638446A2 // 31
+data8 0x3FBEA3257FE10F7A // 32
+data8 0x3FBF7BE9FEDBFDE6 // 33
+data8 0x3FC02AB352FF25F4 // 34
+data8 0x3FC097CE579D204D // 35
+data8 0x3FC1178E8227E47C // 36
+data8 0x3FC185747DBECF34 // 37
+data8 0x3FC1F3B925F25D41 // 38
+data8 0x3FC2625D1E6DDF57 // 39
+data8 0x3FC2D1610C86813A // 40
+data8 0x3FC340C59741142E // 41
+data8 0x3FC3B08B6757F2A9 // 42
+data8 0x3FC40DFB08378003 // 43
+data8 0x3FC47E74E8CA5F7C // 44
+data8 0x3FC4EF51F6466DE4 // 45
+data8 0x3FC56092E02BA516 // 46
+data8 0x3FC5D23857CD74D5 // 47
+data8 0x3FC6313A37335D76 // 48
+data8 0x3FC6A399DABBD383 // 49
+data8 0x3FC70337DD3CE41B // 50
+data8 0x3FC77654128F6127 // 51
+data8 0x3FC7E9D82A0B022D // 52
+data8 0x3FC84A6B759F512F // 53
+data8 0x3FC8AB47D5F5A310 // 54
+data8 0x3FC91FE49096581B // 55
+data8 0x3FC981634011AA75 // 56
+data8 0x3FC9F6C407089664 // 57
+data8 0x3FCA58E729348F43 // 58
+data8 0x3FCABB55C31693AD // 59
+data8 0x3FCB1E104919EFD0 // 60
+data8 0x3FCB94EE93E367CB // 61
+data8 0x3FCBF851C067555F // 62
+data8 0x3FCC5C0254BF23A6 // 63
+data8 0x3FCCC000C9DB3C52 // 64
+data8 0x3FCD244D99C85674 // 65
+data8 0x3FCD88E93FB2F450 // 66
+data8 0x3FCDEDD437EAEF01 // 67
+data8 0x3FCE530EFFE71012 // 68
+data8 0x3FCEB89A1648B971 // 69
+data8 0x3FCF1E75FADF9BDE // 70
+data8 0x3FCF84A32EAD7C35 // 71
+data8 0x3FCFEB2233EA07CD // 72
+data8 0x3FD028F9C7035C1C // 73
+data8 0x3FD05C8BE0D9635A // 74
+data8 0x3FD085EB8F8AE797 // 75
+data8 0x3FD0B9C8E32D1911 // 76
+data8 0x3FD0EDD060B78081 // 77
+data8 0x3FD122024CF0063F // 78
+data8 0x3FD14BE2927AECD4 // 79
+data8 0x3FD180618EF18ADF // 80
+data8 0x3FD1B50BBE2FC63B // 81
+data8 0x3FD1DF4CC7CF242D // 82
+data8 0x3FD214456D0EB8D4 // 83
+data8 0x3FD23EC5991EBA49 // 84
+data8 0x3FD2740D9F870AFB // 85
+data8 0x3FD29ECDABCDFA04 // 86
+data8 0x3FD2D46602ADCCEE // 87
+data8 0x3FD2FF66B04EA9D4 // 88
+data8 0x3FD335504B355A37 // 89
+data8 0x3FD360925EC44F5D // 90
+data8 0x3FD38BF1C3337E75 // 91
+data8 0x3FD3C25277333184 // 92
+data8 0x3FD3EDF463C1683E // 93
+data8 0x3FD419B423D5E8C7 // 94
+data8 0x3FD44591E0539F49 // 95
+data8 0x3FD47C9175B6F0AD // 96
+data8 0x3FD4A8B341552B09 // 97
+data8 0x3FD4D4F3908901A0 // 98
+data8 0x3FD501528DA1F968 // 99
+data8 0x3FD52DD06347D4F6 // 100
+data8 0x3FD55A6D3C7B8A8A // 101
+data8 0x3FD5925D2B112A59 // 102
+data8 0x3FD5BF406B543DB2 // 103
+data8 0x3FD5EC433D5C35AE // 104
+data8 0x3FD61965CDB02C1F // 105
+data8 0x3FD646A84935B2A2 // 106
+data8 0x3FD6740ADD31DE94 // 107
+data8 0x3FD6A18DB74A58C5 // 108
+data8 0x3FD6CF31058670EC // 109
+data8 0x3FD6F180E852F0BA // 110
+data8 0x3FD71F5D71B894F0 // 111
+data8 0x3FD74D5AEFD66D5C // 112
+data8 0x3FD77B79922BD37E // 113
+data8 0x3FD7A9B9889F19E2 // 114
+data8 0x3FD7D81B037EB6A6 // 115
+data8 0x3FD8069E33827231 // 116
+data8 0x3FD82996D3EF8BCB // 117
+data8 0x3FD85855776DCBFB // 118
+data8 0x3FD8873658327CCF // 119
+data8 0x3FD8AA75973AB8CF // 120
+data8 0x3FD8D992DC8824E5 // 121
+data8 0x3FD908D2EA7D9512 // 122
+data8 0x3FD92C59E79C0E56 // 123
+data8 0x3FD95BD750EE3ED3 // 124
+data8 0x3FD98B7811A3EE5B // 125
+data8 0x3FD9AF47F33D406C // 126
+data8 0x3FD9DF270C1914A8 // 127
+data8 0x3FDA0325ED14FDA4 // 128
+data8 0x3FDA33440224FA79 // 129
+data8 0x3FDA57725E80C383 // 130
+data8 0x3FDA87D0165DD199 // 131
+data8 0x3FDAAC2E6C03F896 // 132
+data8 0x3FDADCCC6FDF6A81 // 133
+data8 0x3FDB015B3EB1E790 // 134
+data8 0x3FDB323A3A635948 // 135
+data8 0x3FDB56FA04462909 // 136
+data8 0x3FDB881AA659BC93 // 137
+data8 0x3FDBAD0BEF3DB165 // 138
+data8 0x3FDBD21297781C2F // 139
+data8 0x3FDC039236F08819 // 140
+data8 0x3FDC28CB1E4D32FD // 141
+data8 0x3FDC4E19B84723C2 // 142
+data8 0x3FDC7FF9C74554C9 // 143
+data8 0x3FDCA57B64E9DB05 // 144
+data8 0x3FDCCB130A5CEBB0 // 145
+data8 0x3FDCF0C0D18F326F // 146
+data8 0x3FDD232075B5A201 // 147
+data8 0x3FDD490246DEFA6B // 148
+data8 0x3FDD6EFA918D25CD // 149
+data8 0x3FDD9509707AE52F // 150
+data8 0x3FDDBB2EFE92C554 // 151
+data8 0x3FDDEE2F3445E4AF // 152
+data8 0x3FDE148A1A2726CE // 153
+data8 0x3FDE3AFC0A49FF40 // 154
+data8 0x3FDE6185206D516E // 155
+data8 0x3FDE882578823D52 // 156
+data8 0x3FDEAEDD2EAC990C // 157
+data8 0x3FDED5AC5F436BE3 // 158
+data8 0x3FDEFC9326D16AB9 // 159
+data8 0x3FDF2391A2157600 // 160
+data8 0x3FDF4AA7EE03192D // 161
+data8 0x3FDF71D627C30BB0 // 162
+data8 0x3FDF991C6CB3B379 // 163
+data8 0x3FDFC07ADA69A910 // 164
+data8 0x3FDFE7F18EB03D3E // 165
+data8 0x3FE007C053C5002E // 166
+data8 0x3FE01B942198A5A1 // 167
+data8 0x3FE02F74400C64EB // 168
+data8 0x3FE04360BE7603AD // 169
+data8 0x3FE05759AC47FE34 // 170
+data8 0x3FE06B5F1911CF52 // 171
+data8 0x3FE078BF0533C568 // 172
+data8 0x3FE08CD9687E7B0E // 173
+data8 0x3FE0A10074CF9019 // 174
+data8 0x3FE0B5343A234477 // 175
+data8 0x3FE0C974C89431CE // 176
+data8 0x3FE0DDC2305B9886 // 177
+data8 0x3FE0EB524BAFC918 // 178
+data8 0x3FE0FFB54213A476 // 179
+data8 0x3FE114253DA97D9F // 180
+data8 0x3FE128A24F1D9AFF // 181
+data8 0x3FE1365252BF0865 // 182
+data8 0x3FE14AE558B4A92D // 183
+data8 0x3FE15F85A19C765B // 184
+data8 0x3FE16D4D38C119FA // 185
+data8 0x3FE18203C20DD133 // 186
+data8 0x3FE196C7BC4B1F3B // 187
+data8 0x3FE1A4A738B7A33C // 188
+data8 0x3FE1B981C0C9653D // 189
+data8 0x3FE1CE69E8BB106B // 190
+data8 0x3FE1DC619DE06944 // 191
+data8 0x3FE1F160A2AD0DA4 // 192
+data8 0x3FE2066D7740737E // 193
+data8 0x3FE2147DBA47A394 // 194
+data8 0x3FE229A1BC5EBAC3 // 195
+data8 0x3FE237C1841A502E // 196
+data8 0x3FE24CFCE6F80D9A // 197
+data8 0x3FE25B2C55CD5762 // 198
+data8 0x3FE2707F4D5F7C41 // 199
+data8 0x3FE285E0842CA384 // 200
+data8 0x3FE294294708B773 // 201
+data8 0x3FE2A9A2670AFF0C // 202
+data8 0x3FE2B7FB2C8D1CC1 // 203
+data8 0x3FE2C65A6395F5F5 // 204
+data8 0x3FE2DBF557B0DF43 // 205
+data8 0x3FE2EA64C3F97655 // 206
+data8 0x3FE3001823684D73 // 207
+data8 0x3FE30E97E9A8B5CD // 208
+data8 0x3FE32463EBDD34EA // 209
+data8 0x3FE332F4314AD796 // 210
+data8 0x3FE348D90E7464D0 // 211
+data8 0x3FE35779F8C43D6E // 212
+data8 0x3FE36621961A6A99 // 213
+data8 0x3FE37C299F3C366A // 214
+data8 0x3FE38AE2171976E7 // 215
+data8 0x3FE399A157A603E7 // 216
+data8 0x3FE3AFCCFE77B9D1 // 217
+data8 0x3FE3BE9D503533B5 // 218
+data8 0x3FE3CD7480B4A8A3 // 219
+data8 0x3FE3E3C43918F76C // 220
+data8 0x3FE3F2ACB27ED6C7 // 221
+data8 0x3FE4019C2125CA93 // 222
+data8 0x3FE4181061389722 // 223
+data8 0x3FE42711518DF545 // 224
+data8 0x3FE436194E12B6BF // 225
+data8 0x3FE445285D68EA69 // 226
+data8 0x3FE45BCC464C893A // 227
+data8 0x3FE46AED21F117FC // 228
+data8 0x3FE47A1527E8A2D3 // 229
+data8 0x3FE489445EFFFCCC // 230
+data8 0x3FE4A018BCB69835 // 231
+data8 0x3FE4AF5A0C9D65D7 // 232
+data8 0x3FE4BEA2A5BDBE87 // 233
+data8 0x3FE4CDF28F10AC46 // 234
+data8 0x3FE4DD49CF994058 // 235
+data8 0x3FE4ECA86E64A684 // 236
+data8 0x3FE503C43CD8EB68 // 237
+data8 0x3FE513356667FC57 // 238
+data8 0x3FE522AE0738A3D8 // 239
+data8 0x3FE5322E26867857 // 240
+data8 0x3FE541B5CB979809 // 241
+data8 0x3FE55144FDBCBD62 // 242
+data8 0x3FE560DBC45153C7 // 243
+data8 0x3FE5707A26BB8C66 // 244
+data8 0x3FE587F60ED5B900 // 245
+data8 0x3FE597A7977C8F31 // 246
+data8 0x3FE5A760D634BB8B // 247
+data8 0x3FE5B721D295F10F // 248
+data8 0x3FE5C6EA94431EF9 // 249
+data8 0x3FE5D6BB22EA86F6 // 250
+data8 0x3FE5E6938645D390 // 251
+data8 0x3FE5F673C61A2ED2 // 252
+data8 0x3FE6065BEA385926 // 253
+data8 0x3FE6164BFA7CC06B // 254
+data8 0x3FE62643FECF9743 // 255
+LOCAL_OBJECT_END(logf_data)
+
+LOCAL_OBJECT_START(log10f_data)
+data8 0x3FDBCB7B1526E50E // 1/ln(10)
+//
+// ln(1/frcpa(1+i/256))/ln(10), i=0...255
+data8 0x3F4BD27045BFD025 // 0
+data8 0x3F64E84E793A474A // 1
+data8 0x3F7175085AB85FF0 // 2
+data8 0x3F787CFF9D9147A5 // 3
+data8 0x3F7EA9D372B89FC8 // 4
+data8 0x3F82DF9D95DA961C // 5
+data8 0x3F866DF172D6372C // 6
+data8 0x3F898D79EF5EEDF0 // 7
+data8 0x3F8D22ADF3F9579D // 8
+data8 0x3F9024231D30C398 // 9
+data8 0x3F91F23A98897D4A // 10
+data8 0x3F93881A7B818F9E // 11
+data8 0x3F951F6E1E759E35 // 12
+data8 0x3F96F2BCE7ADC5B4 // 13
+data8 0x3F988D362CDF359E // 14
+data8 0x3F9A292BAF010982 // 15
+data8 0x3F9BC6A03117EB97 // 16
+data8 0x3F9D65967DE3AB09 // 17
+data8 0x3F9F061167FC31E8 // 18
+data8 0x3FA05409E4F7819C // 19
+data8 0x3FA125D0432EA20E // 20
+data8 0x3FA1F85D440D299B // 21
+data8 0x3FA2AD755749617D // 22
+data8 0x3FA381772A00E604 // 23
+data8 0x3FA45643E165A70B // 24
+data8 0x3FA52BDD034475B8 // 25
+data8 0x3FA5E3966B7E9295 // 26
+data8 0x3FA6BAAF47C5B245 // 27
+data8 0x3FA773B3E8C4F3C8 // 28
+data8 0x3FA84C51EBEE8D15 // 29
+data8 0x3FA906A6786FC1CB // 30
+data8 0x3FA9C197ABF00DD7 // 31
+data8 0x3FAA9C78712191F7 // 32
+data8 0x3FAB58C09C8D637C // 33
+data8 0x3FAC15A8BCDD7B7E // 34
+data8 0x3FACD331E2C2967C // 35
+data8 0x3FADB11ED766ABF4 // 36
+data8 0x3FAE70089346A9E6 // 37
+data8 0x3FAF2F96C6754AEE // 38
+data8 0x3FAFEFCA8D451FD6 // 39
+data8 0x3FB0585283764178 // 40
+data8 0x3FB0B913AAC7D3A7 // 41
+data8 0x3FB11A294F2569F6 // 42
+data8 0x3FB16B51A2696891 // 43
+data8 0x3FB1CD03ADACC8BE // 44
+data8 0x3FB22F0BDD7745F5 // 45
+data8 0x3FB2916ACA38D1E8 // 46
+data8 0x3FB2F4210DF7663D // 47
+data8 0x3FB346A6C3C49066 // 48
+data8 0x3FB3A9FEBC60540A // 49
+data8 0x3FB3FD0C10A3AA54 // 50
+data8 0x3FB46107D3540A82 // 51
+data8 0x3FB4C55DD16967FE // 52
+data8 0x3FB51940330C000B // 53
+data8 0x3FB56D620EE7115E // 54
+data8 0x3FB5D2ABCF26178E // 55
+data8 0x3FB6275AA5DEBF81 // 56
+data8 0x3FB68D4EAF26D7EE // 57
+data8 0x3FB6E28C5C54A28D // 58
+data8 0x3FB7380B9665B7C8 // 59
+data8 0x3FB78DCCC278E85B // 60
+data8 0x3FB7F50C2CF2557A // 61
+data8 0x3FB84B5FD5EAEFD8 // 62
+data8 0x3FB8A1F6BAB2B226 // 63
+data8 0x3FB8F8D144557BDF // 64
+data8 0x3FB94FEFDCD61D92 // 65
+data8 0x3FB9A752EF316149 // 66
+data8 0x3FB9FEFAE7611EE0 // 67
+data8 0x3FBA56E8325F5C87 // 68
+data8 0x3FBAAF1B3E297BB4 // 69
+data8 0x3FBB079479C372AD // 70
+data8 0x3FBB6054553B12F7 // 71
+data8 0x3FBBB95B41AB5CE6 // 72
+data8 0x3FBC12A9B13FE079 // 73
+data8 0x3FBC6C4017382BEA // 74
+data8 0x3FBCB41FBA42686D // 75
+data8 0x3FBD0E38CE73393F // 76
+data8 0x3FBD689B2193F133 // 77
+data8 0x3FBDC3472B1D2860 // 78
+data8 0x3FBE0C06300D528B // 79
+data8 0x3FBE6738190E394C // 80
+data8 0x3FBEC2B50D208D9B // 81
+data8 0x3FBF0C1C2B936828 // 82
+data8 0x3FBF68216C9CC727 // 83
+data8 0x3FBFB1F6381856F4 // 84
+data8 0x3FC00742AF4CE5F8 // 85
+data8 0x3FC02C64906512D2 // 86
+data8 0x3FC05AF1E63E03B4 // 87
+data8 0x3FC0804BEA723AA9 // 88
+data8 0x3FC0AF1FD6711527 // 89
+data8 0x3FC0D4B2A8805A00 // 90
+data8 0x3FC0FA5EF136A06C // 91
+data8 0x3FC1299A4FB3E306 // 92
+data8 0x3FC14F806253C3ED // 93
+data8 0x3FC175805D1587C1 // 94
+data8 0x3FC19B9A637CA295 // 95
+data8 0x3FC1CB5FC26EDE17 // 96
+data8 0x3FC1F1B4E65F2590 // 97
+data8 0x3FC218248B5DC3E5 // 98
+data8 0x3FC23EAED62ADC76 // 99
+data8 0x3FC26553EBD337BD // 100
+data8 0x3FC28C13F1B11900 // 101
+data8 0x3FC2BCAA14381386 // 102
+data8 0x3FC2E3A740B7800F // 103
+data8 0x3FC30ABFD8F333B6 // 104
+data8 0x3FC331F403985097 // 105
+data8 0x3FC35943E7A60690 // 106
+data8 0x3FC380AFAC6E7C07 // 107
+data8 0x3FC3A8377997B9E6 // 108
+data8 0x3FC3CFDB771C9ADB // 109
+data8 0x3FC3EDA90D39A5DF // 110
+data8 0x3FC4157EC09505CD // 111
+data8 0x3FC43D7113FB04C1 // 112
+data8 0x3FC4658030AD1CCF // 113
+data8 0x3FC48DAC404638F6 // 114
+data8 0x3FC4B5F56CBBB869 // 115
+data8 0x3FC4DE5BE05E7583 // 116
+data8 0x3FC4FCBC0776FD85 // 117
+data8 0x3FC525561E9256EE // 118
+data8 0x3FC54E0DF3198865 // 119
+data8 0x3FC56CAB7112BDE2 // 120
+data8 0x3FC59597BA735B15 // 121
+data8 0x3FC5BEA23A506FDA // 122
+data8 0x3FC5DD7E08DE382F // 123
+data8 0x3FC606BDD3F92355 // 124
+data8 0x3FC6301C518A501F // 125
+data8 0x3FC64F3770618916 // 126
+data8 0x3FC678CC14C1E2D8 // 127
+data8 0x3FC6981005ED2947 // 128
+data8 0x3FC6C1DB5F9BB336 // 129
+data8 0x3FC6E1488ECD2881 // 130
+data8 0x3FC70B4B2E7E41B9 // 131
+data8 0x3FC72AE209146BF9 // 132
+data8 0x3FC7551C81BD8DCF // 133
+data8 0x3FC774DD76CC43BE // 134
+data8 0x3FC79F505DB00E88 // 135
+data8 0x3FC7BF3BDE099F30 // 136
+data8 0x3FC7E9E7CAC437F9 // 137
+data8 0x3FC809FE4902D00D // 138
+data8 0x3FC82A2757995CBE // 139
+data8 0x3FC85525C625E098 // 140
+data8 0x3FC8757A79831887 // 141
+data8 0x3FC895E2058D8E03 // 142
+data8 0x3FC8C13437695532 // 143
+data8 0x3FC8E1C812EF32BE // 144
+data8 0x3FC9026F112197E8 // 145
+data8 0x3FC923294888880B // 146
+data8 0x3FC94EEA4B8334F3 // 147
+data8 0x3FC96FD1B639FC09 // 148
+data8 0x3FC990CCA66229AC // 149
+data8 0x3FC9B1DB33334843 // 150
+data8 0x3FC9D2FD740E6607 // 151
+data8 0x3FC9FF49EEDCB553 // 152
+data8 0x3FCA209A84FBCFF8 // 153
+data8 0x3FCA41FF1E43F02B // 154
+data8 0x3FCA6377D2CE9378 // 155
+data8 0x3FCA8504BAE0D9F6 // 156
+data8 0x3FCAA6A5EEEBEFE3 // 157
+data8 0x3FCAC85B878D7879 // 158
+data8 0x3FCAEA259D8FFA0B // 159
+data8 0x3FCB0C0449EB4B6B // 160
+data8 0x3FCB2DF7A5C50299 // 161
+data8 0x3FCB4FFFCA70E4D1 // 162
+data8 0x3FCB721CD17157E3 // 163
+data8 0x3FCB944ED477D4ED // 164
+data8 0x3FCBB695ED655C7D // 165
+data8 0x3FCBD8F2364AEC0F // 166
+data8 0x3FCBFB63C969F4FF // 167
+data8 0x3FCC1DEAC134D4E9 // 168
+data8 0x3FCC4087384F4F80 // 169
+data8 0x3FCC6339498F09E2 // 170
+data8 0x3FCC86010FFC076C // 171
+data8 0x3FCC9D3D065C5B42 // 172
+data8 0x3FCCC029375BA07A // 173
+data8 0x3FCCE32B66978BA4 // 174
+data8 0x3FCD0643AFD51404 // 175
+data8 0x3FCD29722F0DEA45 // 176
+data8 0x3FCD4CB70070FE44 // 177
+data8 0x3FCD6446AB3F8C96 // 178
+data8 0x3FCD87B0EF71DB45 // 179
+data8 0x3FCDAB31D1FE99A7 // 180
+data8 0x3FCDCEC96FDC888F // 181
+data8 0x3FCDE6908876357A // 182
+data8 0x3FCE0A4E4A25C200 // 183
+data8 0x3FCE2E2315755E33 // 184
+data8 0x3FCE461322D1648A // 185
+data8 0x3FCE6A0E95C7787B // 186
+data8 0x3FCE8E216243DD60 // 187
+data8 0x3FCEA63AF26E007C // 188
+data8 0x3FCECA74ED15E0B7 // 189
+data8 0x3FCEEEC692CCD25A // 190
+data8 0x3FCF070A36B8D9C1 // 191
+data8 0x3FCF2B8393E34A2D // 192
+data8 0x3FCF5014EF538A5B // 193
+data8 0x3FCF68833AF1B180 // 194
+data8 0x3FCF8D3CD9F3F04F // 195
+data8 0x3FCFA5C61ADD93E9 // 196
+data8 0x3FCFCAA8567EBA7A // 197
+data8 0x3FCFE34CC8743DD8 // 198
+data8 0x3FD0042BFD74F519 // 199
+data8 0x3FD016BDF6A18017 // 200
+data8 0x3FD023262F907322 // 201
+data8 0x3FD035CCED8D32A1 // 202
+data8 0x3FD042430E869FFC // 203
+data8 0x3FD04EBEC842B2E0 // 204
+data8 0x3FD06182E84FD4AC // 205
+data8 0x3FD06E0CB609D383 // 206
+data8 0x3FD080E60BEC8F12 // 207
+data8 0x3FD08D7E0D894735 // 208
+data8 0x3FD0A06CC96A2056 // 209
+data8 0x3FD0AD131F3B3C55 // 210
+data8 0x3FD0C01771E775FB // 211
+data8 0x3FD0CCCC3CAD6F4B // 212
+data8 0x3FD0D986D91A34A9 // 213
+data8 0x3FD0ECA9B8861A2D // 214
+data8 0x3FD0F972F87FF3D6 // 215
+data8 0x3FD106421CF0E5F7 // 216
+data8 0x3FD11983EBE28A9D // 217
+data8 0x3FD12661E35B785A // 218
+data8 0x3FD13345D2779D3B // 219
+data8 0x3FD146A6F597283A // 220
+data8 0x3FD15399E81EA83D // 221
+data8 0x3FD16092E5D3A9A6 // 222
+data8 0x3FD17413C3B7AB5E // 223
+data8 0x3FD1811BF629D6FB // 224
+data8 0x3FD18E2A47B46686 // 225
+data8 0x3FD19B3EBE1A4418 // 226
+data8 0x3FD1AEE9017CB450 // 227
+data8 0x3FD1BC0CED7134E2 // 228
+data8 0x3FD1C93712ABC7FF // 229
+data8 0x3FD1D66777147D3F // 230
+data8 0x3FD1EA3BD1286E1C // 231
+data8 0x3FD1F77BED932C4C // 232
+data8 0x3FD204C25E1B031F // 233
+data8 0x3FD2120F28CE69B1 // 234
+data8 0x3FD21F6253C48D01 // 235
+data8 0x3FD22CBBE51D60AA // 236
+data8 0x3FD240CE4C975444 // 237
+data8 0x3FD24E37F8ECDAE8 // 238
+data8 0x3FD25BA8215AF7FC // 239
+data8 0x3FD2691ECC29F042 // 240
+data8 0x3FD2769BFFAB2E00 // 241
+data8 0x3FD2841FC23952C9 // 242
+data8 0x3FD291AA1A384978 // 243
+data8 0x3FD29F3B0E15584B // 244
+data8 0x3FD2B3A0EE479DF7 // 245
+data8 0x3FD2C142842C09E6 // 246
+data8 0x3FD2CEEACCB7BD6D // 247
+data8 0x3FD2DC99CE82FF21 // 248
+data8 0x3FD2EA4F902FD7DA // 249
+data8 0x3FD2F80C186A25FD // 250
+data8 0x3FD305CF6DE7B0F7 // 251
+data8 0x3FD3139997683CE7 // 252
+data8 0x3FD3216A9BB59E7C // 253
+data8 0x3FD32F4281A3CEFF // 254
+data8 0x3FD33D2150110092 // 255
+LOCAL_OBJECT_END(log10f_data)
+
+
+// Code
+//==============================================================
 .section .text
-.proc  log10f#
-.align 32
 
-log10f: 
-#ifdef _LIBC
-.global __ieee754_log10f
-.type __ieee754_log10f,@function
-__ieee754_log10f:
-#endif
-{ .mfi
-     alloc     r32=ar.pfs,1,15,4,0                    
-     frcpa.s1  log_C,p9 = f1,f8                 
-     cmp.eq.unc     p7,p8         = r0, r0 
-}
-{ .mfb
-     addl           log_AD_1   = @ltoff(log_table_1), gp
-     fnorm.s1 log_NORM_f8 = f8 
-     br.sptk        L(LOG_LOG10_X) 
-}
-;;
-
-.endp log10f
-ASM_SIZE_DIRECTIVE(log10f)
-ASM_SIZE_DIRECTIVE(__ieee754_log10f)
-
-
-
-.section .text
-.proc  logf#
-.align 32
-logf: 
-#ifdef _LIBC
-.global __ieee754_logf
-.type __ieee754_logf,@function
-__ieee754_logf:
-#endif
+// logf   has p13 true, p14 false
+// log10f has p14 true, p13 false
 
+GLOBAL_IEEE754_ENTRY(log10f)
 { .mfi
-     alloc     r32=ar.pfs,1,15,4,0                    
-     frcpa.s1  log_C,p9 = f1,f8                 
-     cmp.eq.unc     p8,p7         = r0, r0 
+      getf.exp      GR_Exp = f8 // if x is unorm then must recompute
+      frcpa.s1      FR_RcpX,p0 = f1,f8
+      mov           GR_05 = 0xFFFE // biased exponent of A2=0.5
 }
+{ .mlx
+      addl          GR_ad_T = @ltoff(log10f_data),gp
+      movl          GR_A3 = 0x3FD5555555555555 // double precision memory
+                                               // representation of A3
+};;
 { .mfi
-     addl           log_AD_1   = @ltoff(log_table_1), gp
-     fnorm.s1 log_NORM_f8 = f8 
-     nop.i 999
-}
-;;
-
-L(LOG_LOG10_X):
-
-{ .mfi
-     getf.exp   log_GR_signexp_f8 = f8 // If x unorm then must recompute
-     fclass.m.unc p15,p0 = f8, 0x0b            // Test for x=unorm
-     mov        log_GR_fff7 = 0xfff7
+      getf.sig      GR_Sig = f8 // if x is unorm then must recompute
+      fclass.m      p8,p0 = f8,9 // is x positive unorm?
+      sub           GR_025 = GR_05,r0,1 // biased exponent of A4=0.25
 }
+{ .mlx
+      ld8           GR_ad_T = [GR_ad_T]
+      movl          GR_Ln2 = 0x3FD34413509F79FF // double precision memory
+                                                // representation of
+                                                // log(2)/ln(10)
+};;
 { .mfi
-     ld8 log_AD_1 = [log_AD_1]
-     fms.s1     log_w = f8,f1,f1              
-     mov       log_GR_exp_17_ones = 0x1ffff
+      setf.d        FR_A3 = GR_A3 // create A3
+      fcmp.eq.s1    p14,p13 = f0,f0 // set p14 to 1 for log10f
+      dep.z         GR_xorg = GR_05,55,8 // 0x7F00000000000000 integer number
+                                         // bits of that are
+                                         // GR_xorg[63]   = last bit of biased
+                                         //            exponent of 255/256
+                                         // GR_xorg[62-0] = bits from 62 to 0
+                                         //            of significand of 255/256
 }
-;;
-
-{ .mmi
-     getf.sig   log_GR_significand_f8 = f8 // If x unorm then must recompute
-     mov       log_GR_exp_16_ones = 0xffff
-     nop.i 999
-}
-;;
-
-{ .mmb
-     adds log_AD_2 = 0x10, log_AD_1
-     and        log_GR_exp_f8 = log_GR_signexp_f8, log_GR_exp_17_ones  
-(p15) br.cond.spnt L(LOG_DENORM)     
-}
-;;
-
-L(LOG_COMMON):
-{.mfi
-     ldfpd      log_P3,log_P2 = [log_AD_1],16           
-     fclass.m.unc p6,p0 = f8, 0xc3             // Test for x=nan
-     shl        log_GR_index = log_GR_significand_f8,1            
-}
-{.mfi
-     sub       log_GR_true_exp_f8 = log_GR_exp_f8, log_GR_exp_16_ones 
-     nop.f 999
-     nop.i 999
-}
-;;
-
+{ .mib
+      setf.exp      FR_A2 = GR_05 // create A2
+      sub           GR_de = GR_Exp,GR_05 // biased_exponent_of_x - 0xFFFE
+                                         // needed to comparion with 0.5 and 2.0
+      br.cond.sptk  logf_log10f_common
+};;
+GLOBAL_IEEE754_END(log10f)
+GLOBAL_IEEE754_ENTRY(logf)
 { .mfi
-     ldfpd      log_P1,log_inv_ln10 = [log_AD_2],16           
-     fclass.m.unc p11,p0 = f8, 0x21            // Test for x=+inf
-     shr.u     log_GR_index = log_GR_index,56
+      getf.exp      GR_Exp = f8 // if x is unorm then must recompute
+      frcpa.s1      FR_RcpX,p0 = f1,f8
+      mov           GR_05 = 0xFFFE // biased exponent of A2=-0.5
 }
+{ .mlx
+      addl          GR_ad_T = @ltoff(logf_data),gp
+      movl          GR_A3 = 0x3FD5555555555555 // double precision memory
+                                               // representation of A3
+};;
 { .mfi
-     setf.sig  log_int_Nfloat = log_GR_true_exp_f8
-     nop.f 999
-     nop.i 999
+      getf.sig      GR_Sig = f8 // if x is unorm then must recompute
+      fclass.m      p8,p0 = f8,9 // is x positive unorm?
+      dep.z         GR_xorg = GR_05,55,8 // 0x7F00000000000000 integer number
+                                         // bits of that are
+                                         // GR_xorg[63]   = last bit of biased
+                                         //            exponent of 255/256
+                                         // GR_xorg[62-0] = bits from 62 to 0
+                                         //            of significand of 255/256
 }
-;;
-
-
 { .mfi
-     ldfd       log_log2 = [log_AD_2],16   
-     fma.s1     log_wsq     = log_w, log_w, f0
-     nop.i 999
-}
-{ .mfb
-     nop.m 999
-(p6) fma.s.s0   f8 = f8,f1,f0      // quietize nan result if x=nan
-(p6) br.ret.spnt b0                // Exit for x=nan
-}
-;;
-
-
+      ld8           GR_ad_T = [GR_ad_T]
+      nop.f         0
+      sub           GR_025 = GR_05,r0,1 // biased exponent of A4=0.25
+};;
 { .mfi
-     shladd log_AD_2 = log_GR_index,3,log_AD_2
-     fcmp.eq.s1 p10,p0 = log_NORM_f8, f1  // Test for x=+1.0
-     nop.i 999
+      setf.d        FR_A3 = GR_A3 // create A3
+      fcmp.eq.s1    p13,p14 = f0,f0 // p13 - true for logf
+      sub           GR_de = GR_Exp,GR_05 // biased_exponent_of_x - 0xFFFE
+                                         // needed to comparion with 0.5 and 2.0
 }
-{ .mfb
-     nop.m 999
-     fms.s1     log_r = log_C,f8,f1
-(p11) br.ret.spnt b0               // Exit for x=+inf
-}
-;;
-
-
-{ .mmf
-     nop.m 999
-     nop.m 999
-     fclass.m.unc p6,p0 = f8, 0x07        // Test for x=0
-}
-;;
-
-
-{ .mfb
-     ldfd       log_T = [log_AD_2]
-(p10) fmerge.s f8 = f0, f0
-(p10) br.ret.spnt b0                // Exit for x=1.0
-;;
-}
-
+{ .mlx
+      setf.exp      FR_A2 = GR_05 // create A2
+      movl          GR_Ln2 = 0x3FE62E42FEFA39EF // double precision memory
+                                                // representation of log(2)
+};;
+logf_log10f_common:
 { .mfi
-     getf.exp   log_GR_signexp_w = log_w
-     fclass.m.unc p12,p0 = f8, 0x3a       // Test for x neg norm, unorm, inf
-     nop.i 999
-}
-;;
-
-{ .mmb
-     nop.m 999
-     nop.m 999
-(p6) br.cond.spnt L(LOG_ZERO_NEG)      // Branch if x=0
-;;
+      setf.exp      FR_A4 = GR_025 // create A4=0.25
+      fclass.m      p9,p0 = f8,0x3A // is x < 0 (including negateve unnormals)?
+      dep           GR_x = GR_Exp,GR_Sig,63,1 // produce integer that bits are
+                                              // GR_x[63] = GR_Exp[0]
+                                              // GR_x[62-0] = GR_Sig[62-0]
 }
- 
-
+{ .mib
+      sub           GR_N = GR_Exp,GR_05,1 // unbiased exponent of x
+      cmp.gtu       p6,p7 = 2,GR_de // is 0.5 <= x < 2.0?
+(p8)  br.cond.spnt  logf_positive_unorm
+};;
+logf_core:
 { .mfi
-     and log_GR_exp_w = log_GR_exp_17_ones, log_GR_signexp_w
-     nop.f 999
-     nop.i 999
+      setf.sig      FR_N = GR_N // copy unbiased exponent of x to the
+                                // significand field of FR_N
+      fclass.m      p10,p0 = f8,0x1E1 // is x NaN, NaT or +Inf?
+      dep.z         GR_dx = GR_05,54,3 // 0x0180000000000000 - difference
+                                       // between our integer representations
+                                       // of 257/256 and 255/256
 }
-{ .mfb
-     nop.m 999
-     fma.s1     log_rsq     = log_r, log_r, f0                   
-(p12) br.cond.spnt L(LOG_ZERO_NEG)     // Branch if x<0
-;;
-}
-
 { .mfi
-     nop.m 999
-     fma.s1      log_rp_p32 = log_P3, log_r, log_P2
-     nop.i 999
-}
+      nop.m         0
+      nop.f         0
+      sub           GR_x = GR_x,GR_xorg // difference between representations
+                                        // of x and 255/256
+};;
 { .mfi
-     nop.m 999
-     fma.s1    log_rp_q32   = log_P3, log_w, log_P2
-     nop.i 999
-;;
+      ldfd          FR_InvLn10 = [GR_ad_T],8
+      fcmp.eq.s1    p11,p0 = f8,f1 // is x equal to 1.0?
+      extr.u        GR_Ind = GR_Sig,55,8 // get bits from 55 to 62 as index
 }
-
+{ .mib
+      setf.d        FR_Ln2 = GR_Ln2 // create log(2) or log10(2)
+(p6)  cmp.gtu       p6,p7 = GR_dx,GR_x // set p6 if 255/256 <= x < 257/256
+(p9)  br.cond.spnt  logf_negatives // jump if input argument is negative number
+};;
+// p6 is true if |x-1| < 1/256
+// p7 is true if |x-1| >= 1/256
+.pred.rel "mutex",p6,p7
 { .mfi
-     nop.m 999
-     fcvt.xf   log_Nfloat = log_int_Nfloat
-     nop.i 999 ;;
+      shladd        GR_ad_T = GR_Ind,3,GR_ad_T // calculate address of T
+(p7)  fms.s1        FR_r = FR_RcpX,f8,f1 // range reduction for |x-1|>=1/256
+      extr.u        GR_Exp = GR_Exp,0,17 // exponent without sign
 }
-
+{ .mfb
+      nop.m         0
+(p6)  fms.s1        FR_r = f8,f1,f1 // range reduction for |x-1|<1/256
+(p10) br.cond.spnt  logf_nan_nat_pinf // exit for NaN, NaT or +Inf
+};;
+{ .mfb
+      ldfd          FR_T = [GR_ad_T] // load T
+(p11) fma.s.s0      f8 = f0,f0,f0
+(p11) br.ret.spnt   b0 // exit for x = 1.0
+};;
+{ .mib
+      nop.m         0
+      cmp.eq        p12,p0 = r0,GR_Exp // is x +/-0? (here it's quite enough
+                                       // only to compare exponent with 0
+                                       // because all unnormals already
+                                       // have been filtered)
+(p12) br.cond.spnt  logf_zeroes        // Branch if input argument is +/-0
+};;
 { .mfi
-     nop.m 999
-     fma.s1    log_rp_p10   = log_P1, log_r, f1
-     nop.i 999
+      nop.m         0
+      fnma.s1       FR_A2 = FR_A2,FR_r,f1 // A2*r+1
+      nop.i         0
 }
 { .mfi
-     nop.m 999
-     fma.s1    log_rp_q10  = log_P1, log_w, f1
-     nop.i 999
-;;
-}
-
-//    p13 <== large w log
-//    p14 <== small w log
+      nop.m         0
+      fma.s1        FR_r2 = FR_r,FR_r,f0  // r^2
+      nop.i         0
+};;
 { .mfi
-(p8) cmp.ge.unc p13,p14 = log_GR_exp_w, log_GR_fff7
-     fcmp.eq.s0 p6,p0 = f8,f0         // Sets flag on +denormal input
-     nop.i 999
-;;
+      nop.m         0
+      fcvt.xf       FR_N = FR_N // convert integer N in significand of FR_N
+                                // to floating-point representation
+      nop.i         0
 }
-
-//    p10 <== large w log10
-//    p11 <== small w log10
 { .mfi
-(p7) cmp.ge.unc p10,p11 = log_GR_exp_w, log_GR_fff7
-     nop.f 999
-     nop.i 999 ;;
-}
-
+      nop.m         0
+      fnma.s1       FR_A3 = FR_A4,FR_r,FR_A3 // A4*r+A3
+      nop.i         0
+};;
 { .mfi
-     nop.m 999
-     fma.s1        log_T_plus_Nlog2 = log_Nfloat,log_log2, log_T    
-     nop.i 999 ;;
+      nop.m         0
+      fma.s1        FR_r = FR_r,FR_InvLn10,f0 // For log10f we have r/log(10)
+      nop.i         0
 }
-
-
 { .mfi
-     nop.m 999
-     fma.s1     log_rp_p2   = log_rp_p32, log_rsq, log_rp_p10
-     nop.i 999
-}
+      nop.m         0
+      nop.f         0
+      nop.i         0
+};;
 { .mfi
-     nop.m 999
-     fma.s1     log_rp_q2   = log_rp_q32, log_wsq, log_rp_q10
-     nop.i 999
-;;
+      nop.m         0
+      fma.s1        FR_A2 = FR_A3,FR_r2,FR_A2 // (A4*r+A3)*r^2+(A2*r+1)
+      nop.i         0
 }
-
-
-//    small w, log   <== p14
 { .mfi
-     nop.m 999
-(p14) fma.s        f8       = log_rp_q2, log_w, f0
-     nop.i 999
-}
+      nop.m         0
+      fma.s1        FR_NxLn2pT = FR_N,FR_Ln2,FR_T // N*Ln2+T
+      nop.i         0
+};;
+.pred.rel "mutex",p6,p7
 { .mfi
-     nop.m 999
-(p11) fma.s1        log_Q       = log_rp_q2, log_w, f0
-     nop.i 999 ;;
+      nop.m         0
+(p7)  fma.s.s0      f8 = FR_A2,FR_r,FR_NxLn2pT // result for |x-1|>=1/256
+      nop.i         0
 }
+{ .mfb
+      nop.m         0
+(p6)  fma.s.s0      f8 = FR_A2,FR_r,f0 // result for |x-1|<1/256
+      br.ret.sptk   b0
+};;
 
-
-//    large w, log   <== p13
-.pred.rel "mutex",p13,p10
+.align 32
+logf_positive_unorm:
 { .mfi
-      nop.m 999
-(p13) fma.s        f8        = log_rp_p2, log_r, log_T_plus_Nlog2
-      nop.i 999 
-}
+      nop.m         0
+(p8)  fma.s0        f8 = f8,f1,f0 // Normalize & set D-flag
+      nop.i         0
+};;
 { .mfi
-      nop.m 999
-(p10) fma.s1     log_Q     = log_rp_p2, log_r, log_T_plus_Nlog2
-      nop.i 999  ;;
-}
-
-
-//    log10
-{ .mfb
-      nop.m 999
-(p7)  fma.s      f8 = log_inv_ln10,log_Q,f0                         
-      br.ret.sptk     b0 
-;;
-}
-
-
-L(LOG_DENORM):
-{ .mmi
-     getf.exp   log_GR_signexp_f8 = log_NORM_f8 
-     nop.m 999
-     nop.i 999
-}
-;;
-{ .mmb
-     getf.sig   log_GR_significand_f8 = log_NORM_f8 
-     and        log_GR_exp_f8 = log_GR_signexp_f8, log_GR_exp_17_ones  
-     br.cond.sptk L(LOG_COMMON)
-}
-;;
-
-L(LOG_ZERO_NEG): 
-
-// qnan snan inf norm     unorm 0 -+
-// 0    0    0   0        0     1 11      0x7
-// 0    0    1   1        1     0 10      0x3a
-
-// Save x (f8) in f10
+      getf.exp      GR_Exp = f8    // recompute biased exponent
+      nop.f         0
+      cmp.ne        p6,p7 = r0,r0  // p6 <- 0, p7 <- 1 because
+                                   // in case of unorm we are out
+                                   // interval [255/256; 257/256]
+};;
 { .mfi
-     nop.m 999
-     fmerge.s f10 = f8,f8 
-     nop.i 999  ;;
-}
-
-// p8 p9  means  ln(+-0)  = -inf
-// p7 p10 means  log(+-0) = -inf
-
-//    p13 means  ln(-)
-//    p14 means  log(-)
-
+      getf.sig      GR_Sig = f8 // recompute significand
+      nop.f         0
+      nop.i         0
+};;
+{ .mib
+      sub           GR_N = GR_Exp,GR_05,1 // unbiased exponent N
+      nop.i         0
+      br.cond.sptk  logf_core // return into main path
+};;
 
+.align 32
+logf_nan_nat_pinf:
 { .mfi
-     nop.m 999
-     fmerge.ns   f6 = f1,f1            // Form -1.0
-     nop.i 999  ;;
+      nop.m         0
+      fma.s.s0      f8 = f8,f1,f0 // set V-flag
+      nop.i         0
 }
+{ .mfb
+      nop.m         0
+      nop.f         0
+      br.ret.sptk   b0 // exit for NaN, NaT or +Inf
+};;
 
-// p9  means  ln(+-0)  = -inf
-// p10 means  log(+-0) = -inf
-// Log(+-0) = -inf 
-
-{ .mfi
-	nop.m 999
-(p8)  fclass.m.unc  p9,p0 = f10, 0x07           
-	nop.i 999
-}
+.align 32
+logf_zeroes:
 { .mfi
-	nop.m 999
-(p7)  fclass.m.unc  p10,p0 = f10, 0x07           
-	nop.i 999 ;;
+      nop.m         0
+      fmerge.s      FR_X = f8,f8 // keep input argument for subsequent
+                                 // call of __libm_error_support#
+      nop.i         0
 }
-
-
-// p13  ln(-)
-// p14  log(-)
-
-// Log(-inf, -normal, -unnormal) = QNAN indefinite
 { .mfi
-	nop.m 999
-(p8)  fclass.m.unc  p13,p0 = f10, 0x3a           
-	nop.i 999 
-}
+(p13) mov           GR_TAG = 4 // set libm error in case of logf
+      fms.s1        FR_tmp = f0,f0,f1 // -1.0
+      nop.i         0
+};;
 { .mfi
-	nop.m 999
-(p7)  fclass.m.unc  p14,p0 = f10, 0x3a           
-	nop.i 999  ;;
+      nop.m         0
+      frcpa.s0      f8,p0 = FR_tmp,f0 // log(+/-0) should be equal to -INF.
+                                      // We can get it using frcpa because it
+                                      // sets result to the IEEE-754 mandated
+                                      // quotient of FR_tmp/f0.
+                                      // As far as FR_tmp is -1 it'll be -INF
+      nop.i         0
 }
+{ .mib
+(p14) mov           GR_TAG = 10 // set libm error in case of log10f
+      nop.i         0
+      br.cond.sptk  logf_libm_err
+};;
 
-
-.pred.rel "mutex",p9,p10
-{ .mfi
-(p9)     mov        log_GR_tag = 4       
-(p9)    frcpa f8,p11 = f6,f0                   
-            nop.i 999
-}
+.align 32
+logf_negatives:
 { .mfi
-(p10)    mov        log_GR_tag = 10       
-(p10)   frcpa f8,p12 = f6,f0                   
-            nop.i 999 ;;
-}
-
-.pred.rel "mutex",p13,p14
+(p13) mov           GR_TAG = 5 // set libm error in case of logf
+      fmerge.s      FR_X = f8,f8 // keep input argument for subsequent
+                                 // call of __libm_error_support#
+      nop.i         0
+};;
 { .mfi
-(p13)    mov        log_GR_tag = 5       
-(p13)    frcpa f8,p11 = f0,f0                   
-            nop.i 999
-}
-{ .mfb
-(p14)    mov        log_GR_tag = 11       
-(p14)   frcpa f8,p12 = f0,f0                   
-        br.cond.sptk __libm_error_region ;; 
-}
-.endp logf
-ASM_SIZE_DIRECTIVE(logf)
-ASM_SIZE_DIRECTIVE(__ieee754_logf)
+(p14) mov           GR_TAG = 11 // set libm error in case of log10f
+      frcpa.s0      f8,p0 = f0,f0 // log(negatives) should be equal to NaN.
+                                  // We can get it using frcpa because it
+                                  // sets result to the IEEE-754 mandated
+                                  // quotient of f0/f0 i.e. NaN.
+      nop.i         0
+};;
 
+.align 32
+logf_libm_err:
+{ .mmi
+      alloc         r32 = ar.pfs,1,4,4,0
+      mov           GR_Parameter_TAG = GR_TAG
+      nop.i         0
+};;
+GLOBAL_IEEE754_END(logf)
 
 // Stack operations when calling error support.
 //       (1)               (2)                          (3) (call)              (4)
@@ -890,70 +1101,56 @@ ASM_SIZE_DIRECTIVE(__ieee754_logf)
 //    save ar.pfs          save b0                                               restore gp
 //    save gp                                                                    restore ar.pfs
 
-
-
-.proc __libm_error_region
-__libm_error_region:
+LOCAL_LIBM_ENTRY(__libm_error_region)
 .prologue
-
-// (1)
 { .mfi
-        add   GR_Parameter_Y=-32,sp             // Parameter 2 value
-        nop.f 0
-.save   ar.pfs,GR_SAVE_PFS
-        mov  GR_SAVE_PFS=ar.pfs                 // Save ar.pfs
+      add   GR_Parameter_Y=-32,sp             // Parameter 2 value
+      nop.f 0
+.save ar.pfs,GR_SAVE_PFS
+      mov  GR_SAVE_PFS=ar.pfs                 // Save ar.pfs
 }
 { .mfi
 .fframe 64
-        add sp=-64,sp                          // Create new stack
-        nop.f 0
-        mov GR_SAVE_GP=gp                      // Save gp
+      add sp=-64,sp                           // Create new stack
+      nop.f 0
+      mov GR_SAVE_GP=gp                       // Save gp
 };;
-
-
-// (2)
 { .mmi
-        stfs [GR_Parameter_Y] = f1,16         // STORE Parameter 2 on stack
-        add GR_Parameter_X = 16,sp            // Parameter 1 address
+      stfs [GR_Parameter_Y] = FR_Y,16         // STORE Parameter 2 on stack
+      add GR_Parameter_X = 16,sp              // Parameter 1 address
 .save   b0, GR_SAVE_B0
-        mov GR_SAVE_B0=b0                     // Save b0
+      mov GR_SAVE_B0=b0                       // Save b0
 };;
-
 .body
-// (3)
 { .mib
-        stfs [GR_Parameter_X] = f10                   // STORE Parameter 1 on stack
-        add   GR_Parameter_RESULT = 0,GR_Parameter_Y  // Parameter 3 address
-        nop.b 0                             
+      stfs [GR_Parameter_X] = FR_X                  // STORE Parameter 1 on stack
+      add   GR_Parameter_RESULT = 0,GR_Parameter_Y  // Parameter 3 address
+      nop.b 0
 }
 { .mib
-        stfs [GR_Parameter_Y] = f8                    // STORE Parameter 3 on stack
-        add   GR_Parameter_Y = -16,GR_Parameter_Y
-        br.call.sptk b0=__libm_error_support#         // Call error handling function
+      stfs [GR_Parameter_Y] = FR_RESULT             // STORE Parameter 3 on stack
+      add   GR_Parameter_Y = -16,GR_Parameter_Y
+      br.call.sptk b0=__libm_error_support#         // Call error handling function
 };;
-
 { .mmi
-        nop.m 0
-        nop.m 0
-        add   GR_Parameter_RESULT = 48,sp
+      nop.m 0
+      nop.m 0
+      add   GR_Parameter_RESULT = 48,sp
 };;
-
-// (4)
 { .mmi
-        ldfs  f8 = [GR_Parameter_RESULT]       // Get return result off stack
+      ldfs  f8 = [GR_Parameter_RESULT]       // Get return result off stack
 .restore sp
-        add   sp = 64,sp                       // Restore stack pointer
-        mov   b0 = GR_SAVE_B0                  // Restore return address
+      add   sp = 64,sp                       // Restore stack pointer
+      mov   b0 = GR_SAVE_B0                  // Restore return address
 };;
 { .mib
-        mov   gp = GR_SAVE_GP                  // Restore gp
-        mov   ar.pfs = GR_SAVE_PFS             // Restore ar.pfs
-        br.ret.sptk     b0                     // Return
+      mov   gp = GR_SAVE_GP                  // Restore gp
+      mov   ar.pfs = GR_SAVE_PFS             // Restore ar.pfs
+      br.ret.sptk     b0                     // Return
 };;
 
-.endp __libm_error_region
-ASM_SIZE_DIRECTIVE(__libm_error_region)
-
+LOCAL_LIBM_END(__libm_error_region)
 
 .type   __libm_error_support#,@function
 .global __libm_error_support#
+
diff --git a/sysdeps/ia64/fpu/e_logl.S b/sysdeps/ia64/fpu/e_logl.S
new file mode 100644
index 0000000000..ba6b55bb9c
--- /dev/null
+++ b/sysdeps/ia64/fpu/e_logl.S
@@ -0,0 +1,1198 @@
+.file "logl.s" 
+
+
+// Copyright (c) 2000 - 2003, Intel Corporation
+// All rights reserved.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
+//
+// Redistribution and use in source and binary forms, with or without
+// modification, are permitted provided that the following conditions are
+// met:
+//
+// * Redistributions of source code must retain the above copyright
+// notice, this list of conditions and the following disclaimer.
+//
+// * Redistributions in binary form must reproduce the above copyright
+// notice, this list of conditions and the following disclaimer in the
+// documentation and/or other materials provided with the distribution.
+//
+// * The name of Intel Corporation may not be used to endorse or promote
+// products derived from this software without specific prior written
+// permission.
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
+// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS 
+// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, 
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY 
+// OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 
+// 
+// Intel Corporation is the author of this code, and requests that all
+// problem reports or change requests be submitted to it directly at 
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
+//
+//*********************************************************************
+//
+// History: 
+// 05/21/01 Extracted logl and log10l from log1pl.s file, and optimized 
+//          all paths.
+// 06/20/01 Fixed error tag for x=-inf.
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 02/10/03 Reordered header: .section, .global, .proc, .align;
+//          used data8 for long double table values
+//
+//*********************************************************************
+//
+//*********************************************************************
+//
+// Function:   Combined logl(x) and log10l(x) where
+//             logl(x)   = ln(x), for double-extended precision x values
+//             log10l(x) = log (x), for double-extended precision x values
+//                           10
+//
+//*********************************************************************
+//
+// Resources Used:
+//
+//    Floating-Point Registers: f8 (Input and Return Value)
+//                              f34-f76
+//
+//    General Purpose Registers:
+//      r32-r56
+//      r53-r56 (Used to pass arguments to error handling routine)
+//
+//    Predicate Registers:      p6-p14
+//
+//*********************************************************************
+//
+// IEEE Special Conditions:
+//
+//    Denormal  fault raised on denormal inputs
+//    Overflow exceptions cannot occur  
+//    Underflow exceptions raised when appropriate for log1p 
+//    (Error Handling Routine called for underflow)
+//    Inexact raised when appropriate by algorithm
+//
+//    logl(inf) = inf
+//    logl(-inf) = QNaN 
+//    logl(+/-0) = -inf 
+//    logl(SNaN) = QNaN
+//    logl(QNaN) = QNaN
+//    logl(EM_special Values) = QNaN
+//    log10l(inf) = inf
+//    log10l(-inf) = QNaN 
+//    log10l(+/-0) = -inf 
+//    log10l(SNaN) = QNaN
+//    log10l(QNaN) = QNaN
+//    log10l(EM_special Values) = QNaN
+//
+//*********************************************************************
+//
+// Overview
+//
+// The method consists of two cases.
+//
+// If      |X-1| < 2^(-7)	use case log_near1;
+// else      			use case log_regular;
+//
+// Case log_near1:
+//
+//   logl( 1 + X ) can be approximated by a simple polynomial
+//   in W = X-1. This polynomial resembles the truncated Taylor
+//   series W - W^/2 + W^3/3 - ...
+// 
+// Case log_regular:
+//
+//   Here we use a table lookup method. The basic idea is that in
+//   order to compute logl(Arg) for an argument Arg in [1,2), we 
+//   construct a value G such that G*Arg is close to 1 and that
+//   logl(1/G) is obtainable easily from a table of values calculated
+//   beforehand. Thus
+//
+//      logl(Arg) = logl(1/G) + logl(G*Arg)
+//      	 = logl(1/G) + logl(1 + (G*Arg - 1))
+//
+//   Because |G*Arg - 1| is small, the second term on the right hand
+//   side can be approximated by a short polynomial. We elaborate
+//   this method in four steps.
+//
+//   Step 0: Initialization
+//
+//   We need to calculate logl( X ). Obtain N, S_hi such that
+//
+//      X = 2^N * S_hi 	exactly
+//
+//   where S_hi in [1,2) 
+//
+//   Step 1: Argument Reduction
+//
+//   Based on S_hi, obtain G_1, G_2, G_3 from a table and calculate
+//
+//      G := G_1 * G_2 * G_3
+//      r := (G * S_hi - 1)
+//
+//   These G_j's have the property that the product is exactly 
+//   representable and that |r| < 2^(-12) as a result.
+//
+//   Step 2: Approximation
+//
+//
+//   logl(1 + r) is approximated by a short polynomial poly(r).
+//
+//   Step 3: Reconstruction
+//
+//
+//   Finally, logl( X ) is given by
+//
+//   logl( X )   =   logl( 2^N * S_hi )
+//                 ~=~  N*logl(2) + logl(1/G) + logl(1 + r)
+//                 ~=~  N*logl(2) + logl(1/G) + poly(r).
+//
+// **** Algorithm ****
+//
+// Case log_near1:
+//
+// Here we compute a simple polynomial. To exploit parallelism, we split
+// the polynomial into two portions.
+// 
+//       W := X - 1
+//       Wsq := W * W
+//       W4  := Wsq*Wsq
+//       W6  := W4*Wsq
+//       Y_hi := W + Wsq*(P_1 + W*(P_2 + W*(P_3 + W*P_4))
+//       Y_lo := W6*(P_5 + W*(P_6 + W*(P_7 + W*P_8)))
+//
+// Case log_regular:
+//
+// We present the algorithm in four steps.
+//
+//   Step 0. Initialization
+//   ----------------------
+//
+//   Z := X 
+//   N := unbaised exponent of Z
+//   S_hi := 2^(-N) * Z
+//
+//   Step 1. Argument Reduction
+//   --------------------------
+//
+//   Let
+//
+//      Z = 2^N * S_hi = 2^N * 1.d_1 d_2 d_3 ... d_63
+//
+//   We obtain G_1, G_2, G_3 by the following steps.
+//
+//
+//      Define		X_0 := 1.d_1 d_2 ... d_14. This is extracted
+//      		from S_hi.
+//
+//      Define		A_1 := 1.d_1 d_2 d_3 d_4. This is X_0 truncated
+//      		to lsb = 2^(-4).
+//
+//      Define		index_1 := [ d_1 d_2 d_3 d_4 ].
+//
+//      Fetch 		Z_1 := (1/A_1) rounded UP in fixed point with
+//      fixed point	lsb = 2^(-15).
+//      		Z_1 looks like z_0.z_1 z_2 ... z_15
+//      	        Note that the fetching is done using index_1.
+//      		A_1 is actually not needed in the implementation
+//      		and is used here only to explain how is the value
+//      		Z_1 defined.
+//
+//      Fetch		G_1 := (1/A_1) truncated to 21 sig. bits.
+//      floating pt.	Again, fetching is done using index_1. A_1
+//      		explains how G_1 is defined.
+//
+//      Calculate	X_1 := X_0 * Z_1 truncated to lsb = 2^(-14)
+//      		     = 1.0 0 0 0 d_5 ... d_14
+//      		This is accomplised by integer multiplication.
+//      		It is proved that X_1 indeed always begin
+//      		with 1.0000 in fixed point.
+//
+//
+//      Define		A_2 := 1.0 0 0 0 d_5 d_6 d_7 d_8. This is X_1 
+//      		truncated to lsb = 2^(-8). Similar to A_1,
+//      		A_2 is not needed in actual implementation. It
+//      		helps explain how some of the values are defined.
+//
+//      Define		index_2 := [ d_5 d_6 d_7 d_8 ].
+//
+//      Fetch 		Z_2 := (1/A_2) rounded UP in fixed point with
+//      fixed point	lsb = 2^(-15). Fetch done using index_2.
+//      		Z_2 looks like z_0.z_1 z_2 ... z_15
+//
+//      Fetch		G_2 := (1/A_2) truncated to 21 sig. bits.
+//      floating pt.
+//
+//      Calculate	X_2 := X_1 * Z_2 truncated to lsb = 2^(-14)
+//      		     = 1.0 0 0 0 0 0 0 0 d_9 d_10 ... d_14
+//      		This is accomplised by integer multiplication.
+//      		It is proved that X_2 indeed always begin
+//      		with 1.00000000 in fixed point.
+//
+//
+//      Define		A_3 := 1.0 0 0 0 0 0 0 0 d_9 d_10 d_11 d_12 d_13 1.
+//      		This is 2^(-14) + X_2 truncated to lsb = 2^(-13).
+//
+//      Define		index_3 := [ d_9 d_10 d_11 d_12 d_13 ].
+//
+//      Fetch		G_3 := (1/A_3) truncated to 21 sig. bits.
+//      floating pt.	Fetch is done using index_3.
+//
+//      Compute		G := G_1 * G_2 * G_3. 
+//
+//      This is done exactly since each of G_j only has 21 sig. bits.
+//
+//      Compute   
+//
+//      	r := (G*S_hi - 1) 
+//
+//
+//  Step 2. Approximation
+//  ---------------------
+//
+//   This step computes an approximation to logl( 1 + r ) where r is the
+//   reduced argument just obtained. It is proved that |r| <= 1.9*2^(-13);
+//   thus logl(1+r) can be approximated by a short polynomial:
+//
+//      logl(1+r) ~=~ poly = r + Q1 r^2 + ... + Q4 r^5
+//
+//
+//  Step 3. Reconstruction
+//  ----------------------
+//
+//   This step computes the desired result of logl(X):
+//
+//      logl(X)  =   logl( 2^N * S_hi )
+//      	  =   N*logl(2) + logl( S_hi )
+//      	  =   N*logl(2) + logl(1/G) +
+//      	      logl(1 + G*S_hi - 1 )
+//
+//   logl(2), logl(1/G_j) are stored as pairs of (single,double) numbers:
+//   log2_hi, log2_lo, log1byGj_hi, log1byGj_lo. The high parts are
+//   single-precision numbers and the low parts are double precision
+//   numbers. These have the property that
+//
+//      N*log2_hi + SUM ( log1byGj_hi )
+//
+//   is computable exactly in double-extended precision (64 sig. bits).
+//   Finally
+//
+//      Y_hi := N*log2_hi + SUM ( log1byGj_hi )
+//      Y_lo := poly_hi + [ poly_lo + 
+//              ( SUM ( log1byGj_lo ) + N*log2_lo ) ]
+//
+
+RODATA
+.align 64
+
+// ************* DO NOT CHANGE THE ORDER OF THESE TABLES *************
+
+// P_8, P_7, P_6, P_5, P_4, P_3, P_2, and P_1 
+
+LOCAL_OBJECT_START(Constants_P)
+data8  0xE3936754EFD62B15,0x00003FFB
+data8  0x8003B271A5E56381,0x0000BFFC
+data8  0x9249248C73282DB0,0x00003FFC
+data8  0xAAAAAA9F47305052,0x0000BFFC
+data8  0xCCCCCCCCCCD17FC9,0x00003FFC
+data8  0x8000000000067ED5,0x0000BFFD
+data8  0xAAAAAAAAAAAAAAAA,0x00003FFD
+data8  0xFFFFFFFFFFFFFFFE,0x0000BFFD
+LOCAL_OBJECT_END(Constants_P)
+
+// log2_hi, log2_lo, Q_4, Q_3, Q_2, and Q_1 
+
+LOCAL_OBJECT_START(Constants_Q)
+data8  0xB172180000000000,0x00003FFE
+data8  0x82E308654361C4C6,0x0000BFE2
+data8  0xCCCCCAF2328833CB,0x00003FFC
+data8  0x80000077A9D4BAFB,0x0000BFFD
+data8  0xAAAAAAAAAAABE3D2,0x00003FFD
+data8  0xFFFFFFFFFFFFDAB7,0x0000BFFD
+LOCAL_OBJECT_END(Constants_Q)
+
+// 1/ln10_hi, 1/ln10_lo
+
+LOCAL_OBJECT_START(Constants_1_by_LN10)
+data8  0xDE5BD8A937287195,0x00003FFD
+data8  0xD56EAABEACCF70C8,0x00003FBB
+LOCAL_OBJECT_END(Constants_1_by_LN10)
+
+
+// Z1 - 16 bit fixed
+ 
+LOCAL_OBJECT_START(Constants_Z_1)
+data4  0x00008000
+data4  0x00007879
+data4  0x000071C8
+data4  0x00006BCB
+data4  0x00006667
+data4  0x00006187
+data4  0x00005D18
+data4  0x0000590C
+data4  0x00005556
+data4  0x000051EC
+data4  0x00004EC5
+data4  0x00004BDB
+data4  0x00004925
+data4  0x0000469F
+data4  0x00004445
+data4  0x00004211
+LOCAL_OBJECT_END(Constants_Z_1)
+
+// G1 and H1 - IEEE single and h1 - IEEE double
+
+LOCAL_OBJECT_START(Constants_G_H_h1)
+data4  0x3F800000,0x00000000
+data8  0x0000000000000000
+data4  0x3F70F0F0,0x3D785196
+data8  0x3DA163A6617D741C
+data4  0x3F638E38,0x3DF13843
+data8  0x3E2C55E6CBD3D5BB
+data4  0x3F579430,0x3E2FF9A0
+data8  0xBE3EB0BFD86EA5E7
+data4  0x3F4CCCC8,0x3E647FD6
+data8  0x3E2E6A8C86B12760
+data4  0x3F430C30,0x3E8B3AE7
+data8  0x3E47574C5C0739BA
+data4  0x3F3A2E88,0x3EA30C68
+data8  0x3E20E30F13E8AF2F
+data4  0x3F321640,0x3EB9CEC8
+data8  0xBE42885BF2C630BD
+data4  0x3F2AAAA8,0x3ECF9927
+data8  0x3E497F3497E577C6
+data4  0x3F23D708,0x3EE47FC5
+data8  0x3E3E6A6EA6B0A5AB
+data4  0x3F1D89D8,0x3EF8947D
+data8  0xBDF43E3CD328D9BE
+data4  0x3F17B420,0x3F05F3A1
+data8  0x3E4094C30ADB090A
+data4  0x3F124920,0x3F0F4303
+data8  0xBE28FBB2FC1FE510
+data4  0x3F0D3DC8,0x3F183EBF
+data8  0x3E3A789510FDE3FA
+data4  0x3F088888,0x3F20EC80
+data8  0x3E508CE57CC8C98F
+data4  0x3F042108,0x3F29516A
+data8  0xBE534874A223106C
+LOCAL_OBJECT_END(Constants_G_H_h1)
+
+// Z2 - 16 bit fixed
+
+LOCAL_OBJECT_START(Constants_Z_2)
+data4  0x00008000
+data4  0x00007F81
+data4  0x00007F02
+data4  0x00007E85
+data4  0x00007E08
+data4  0x00007D8D
+data4  0x00007D12
+data4  0x00007C98
+data4  0x00007C20
+data4  0x00007BA8
+data4  0x00007B31
+data4  0x00007ABB
+data4  0x00007A45
+data4  0x000079D1
+data4  0x0000795D
+data4  0x000078EB
+LOCAL_OBJECT_END(Constants_Z_2)
+
+// G2 and H2 - IEEE single and h2 - IEEE double
+
+LOCAL_OBJECT_START(Constants_G_H_h2)
+data4  0x3F800000,0x00000000
+data8  0x0000000000000000
+data4  0x3F7F00F8,0x3B7F875D
+data8  0x3DB5A11622C42273
+data4  0x3F7E03F8,0x3BFF015B
+data8  0x3DE620CF21F86ED3
+data4  0x3F7D08E0,0x3C3EE393
+data8  0xBDAFA07E484F34ED
+data4  0x3F7C0FC0,0x3C7E0586
+data8  0xBDFE07F03860BCF6
+data4  0x3F7B1880,0x3C9E75D2
+data8  0x3DEA370FA78093D6
+data4  0x3F7A2328,0x3CBDC97A
+data8  0x3DFF579172A753D0
+data4  0x3F792FB0,0x3CDCFE47
+data8  0x3DFEBE6CA7EF896B
+data4  0x3F783E08,0x3CFC15D0
+data8  0x3E0CF156409ECB43
+data4  0x3F774E38,0x3D0D874D
+data8  0xBE0B6F97FFEF71DF
+data4  0x3F766038,0x3D1CF49B
+data8  0xBE0804835D59EEE8
+data4  0x3F757400,0x3D2C531D
+data8  0x3E1F91E9A9192A74
+data4  0x3F748988,0x3D3BA322
+data8  0xBE139A06BF72A8CD
+data4  0x3F73A0D0,0x3D4AE46F
+data8  0x3E1D9202F8FBA6CF
+data4  0x3F72B9D0,0x3D5A1756
+data8  0xBE1DCCC4BA796223
+data4  0x3F71D488,0x3D693B9D
+data8  0xBE049391B6B7C239
+LOCAL_OBJECT_END(Constants_G_H_h2)
+
+// G3 and H3 - IEEE single and h3 - IEEE double 
+
+LOCAL_OBJECT_START(Constants_G_H_h3)
+data4  0x3F7FFC00,0x38800100
+data8  0x3D355595562224CD
+data4  0x3F7FF400,0x39400480
+data8  0x3D8200A206136FF6
+data4  0x3F7FEC00,0x39A00640
+data8  0x3DA4D68DE8DE9AF0
+data4  0x3F7FE400,0x39E00C41
+data8  0xBD8B4291B10238DC
+data4  0x3F7FDC00,0x3A100A21
+data8  0xBD89CCB83B1952CA
+data4  0x3F7FD400,0x3A300F22
+data8  0xBDB107071DC46826
+data4  0x3F7FCC08,0x3A4FF51C
+data8  0x3DB6FCB9F43307DB
+data4  0x3F7FC408,0x3A6FFC1D
+data8  0xBD9B7C4762DC7872
+data4  0x3F7FBC10,0x3A87F20B
+data8  0xBDC3725E3F89154A
+data4  0x3F7FB410,0x3A97F68B
+data8  0xBD93519D62B9D392
+data4  0x3F7FAC18,0x3AA7EB86
+data8  0x3DC184410F21BD9D
+data4  0x3F7FA420,0x3AB7E101
+data8  0xBDA64B952245E0A6
+data4  0x3F7F9C20,0x3AC7E701
+data8  0x3DB4B0ECAABB34B8
+data4  0x3F7F9428,0x3AD7DD7B
+data8  0x3D9923376DC40A7E
+data4  0x3F7F8C30,0x3AE7D474
+data8  0x3DC6E17B4F2083D3
+data4  0x3F7F8438,0x3AF7CBED
+data8  0x3DAE314B811D4394
+data4  0x3F7F7C40,0x3B03E1F3
+data8  0xBDD46F21B08F2DB1
+data4  0x3F7F7448,0x3B0BDE2F
+data8  0xBDDC30A46D34522B
+data4  0x3F7F6C50,0x3B13DAAA
+data8  0x3DCB0070B1F473DB
+data4  0x3F7F6458,0x3B1BD766
+data8  0xBDD65DDC6AD282FD
+data4  0x3F7F5C68,0x3B23CC5C
+data8  0xBDCDAB83F153761A
+data4  0x3F7F5470,0x3B2BC997
+data8  0xBDDADA40341D0F8F
+data4  0x3F7F4C78,0x3B33C711
+data8  0x3DCD1BD7EBC394E8
+data4  0x3F7F4488,0x3B3BBCC6
+data8  0xBDC3532B52E3E695
+data4  0x3F7F3C90,0x3B43BAC0
+data8  0xBDA3961EE846B3DE
+data4  0x3F7F34A0,0x3B4BB0F4
+data8  0xBDDADF06785778D4
+data4  0x3F7F2CA8,0x3B53AF6D
+data8  0x3DCC3ED1E55CE212
+data4  0x3F7F24B8,0x3B5BA620
+data8  0xBDBA31039E382C15
+data4  0x3F7F1CC8,0x3B639D12
+data8  0x3D635A0B5C5AF197
+data4  0x3F7F14D8,0x3B6B9444
+data8  0xBDDCCB1971D34EFC
+data4  0x3F7F0CE0,0x3B7393BC
+data8  0x3DC7450252CD7ADA
+data4  0x3F7F04F0,0x3B7B8B6D
+data8  0xBDB68F177D7F2A42
+LOCAL_OBJECT_END(Constants_G_H_h3)
+
+
+// Floating Point Registers
+
+FR_Input_X      = f8 
+
+FR_Y_hi         = f34  
+FR_Y_lo         = f35
+
+FR_Scale        = f36
+FR_X_Prime      = f37 
+FR_S_hi         = f38  
+FR_W            = f39
+FR_G            = f40
+
+FR_H            = f41
+FR_wsq          = f42 
+FR_w4           = f43
+FR_h            = f44
+FR_w6           = f45  
+
+FR_G2           = f46
+FR_H2           = f47
+FR_poly_lo      = f48
+FR_P8           = f49  
+FR_poly_hi      = f50
+
+FR_P7           = f51  
+FR_h2           = f52 
+FR_rsq          = f53  
+FR_P6           = f54
+FR_r            = f55  
+
+FR_log2_hi      = f56  
+FR_log2_lo      = f57  
+FR_p87          = f58  
+FR_p876         = f58  
+FR_p8765        = f58  
+FR_float_N      = f59 
+FR_Q4           = f60 
+
+FR_p43          = f61  
+FR_p432         = f61  
+FR_p4321        = f61  
+FR_P4           = f62  
+FR_G3           = f63  
+FR_H3           = f64  
+FR_h3           = f65  
+
+FR_Q3           = f66  
+FR_P3           = f67  
+FR_Q2           = f68 
+FR_P2           = f69  
+FR_1LN10_hi     = f70 
+
+FR_Q1           = f71 
+FR_P1           = f72 
+FR_1LN10_lo     = f73 
+FR_P5           = f74 
+FR_rcub         = f75 
+
+FR_Output_X_tmp = f76 
+
+FR_X                = f8
+FR_Y                = f0
+FR_RESULT           = f76
+
+
+// General Purpose Registers
+
+GR_ad_p         = r33
+GR_Index1       = r34 
+GR_Index2       = r35 
+GR_signif       = r36 
+GR_X_0          = r37 
+GR_X_1          = r38 
+GR_X_2          = r39 
+GR_Z_1          = r40 
+GR_Z_2          = r41 
+GR_N            = r42 
+GR_Bias         = r43 
+GR_M            = r44 
+GR_Index3       = r45 
+GR_ad_p2        = r46
+GR_exp_mask     = r47 
+GR_exp_2tom7    = r48 
+GR_ad_ln10      = r49 
+GR_ad_tbl_1     = r50
+GR_ad_tbl_2     = r51
+GR_ad_tbl_3     = r52
+GR_ad_q         = r53
+GR_ad_z_1       = r54
+GR_ad_z_2       = r55
+GR_ad_z_3       = r56
+
+//
+// Added for unwind support
+//
+
+GR_SAVE_PFS         = r50
+GR_SAVE_B0          = r51
+GR_SAVE_GP          = r52
+GR_Parameter_X      = r53
+GR_Parameter_Y      = r54
+GR_Parameter_RESULT = r55
+GR_Parameter_TAG    = r56
+
+.section .text
+
+GLOBAL_IEEE754_ENTRY(logl)
+{ .mfi
+      alloc r32 = ar.pfs,0,21,4,0
+      fclass.m p6, p0 =  FR_Input_X, 0x1E3  // Test for natval, nan, inf
+      cmp.eq  p7, p14 = r0, r0              // Set p7 if logl
+}
+{ .mfb
+      addl GR_ad_z_1 = @ltoff(Constants_Z_1#),gp
+      fnorm.s1 FR_X_Prime = FR_Input_X      // Normalize x
+      br.cond.sptk LOGL_BEGIN
+}
+;;
+
+GLOBAL_IEEE754_END(logl)
+
+GLOBAL_IEEE754_ENTRY(log10l)
+{ .mfi
+      alloc r32 = ar.pfs,0,21,4,0
+      fclass.m p6, p0 =  FR_Input_X, 0x1E3  // Test for natval, nan, inf
+      cmp.ne  p7, p14 = r0, r0              // Set p14 if log10l
+}
+{ .mfb
+      addl GR_ad_z_1 = @ltoff(Constants_Z_1#),gp
+      fnorm.s1 FR_X_Prime = FR_Input_X      // Normalize x
+      nop.b 999
+}
+;;
+
+
+// Common code for logl and log10
+LOGL_BEGIN: 
+{ .mfi
+      ld8    GR_ad_z_1 = [GR_ad_z_1]          // Get pointer to Constants_Z_1
+      fclass.m p10, p0 =  FR_Input_X, 0x0b    // Test for denormal
+      mov GR_exp_2tom7 = 0x0fff8              // Exponent of 2^-7
+}
+;;
+
+{ .mfb
+      getf.sig GR_signif = FR_Input_X         // Get significand of x
+      fcmp.eq.s1 p9, p0 =  FR_Input_X, f1     // Test for x=1.0
+(p6)  br.cond.spnt LOGL_64_special            // Branch for nan, inf, natval
+}
+;;
+
+{ .mfi
+      add   GR_ad_tbl_1 = 0x040, GR_ad_z_1    // Point to Constants_G_H_h1
+      fcmp.lt.s1 p13, p0 =  FR_Input_X, f0    // Test for x<0
+      add   GR_ad_p = -0x100, GR_ad_z_1       // Point to Constants_P
+}
+{ .mib
+      add   GR_ad_z_2 = 0x140, GR_ad_z_1      // Point to Constants_Z_2
+      add   GR_ad_tbl_2 = 0x180, GR_ad_z_1    // Point to Constants_G_H_h2
+(p10) br.cond.spnt LOGL_64_denormal           // Branch for denormal
+}
+;;
+
+LOGL_64_COMMON:
+{ .mfi
+      add   GR_ad_q = 0x080, GR_ad_p          // Point to Constants_Q
+      fcmp.eq.s1 p8, p0 =  FR_Input_X, f0     // Test for x=0
+      extr.u GR_Index1 = GR_signif, 59, 4     // Get high 4 bits of signif
+}
+{ .mfb
+      add   GR_ad_tbl_3 = 0x280, GR_ad_z_1    // Point to Constants_G_H_h3
+(p9)  fma.s0  f8 = FR_Input_X, f0, f0         // If x=1, return +0.0
+(p9)  br.ret.spnt  b0                         // Exit if x=1
+}
+;;
+
+{ .mfi
+      shladd GR_ad_z_1 = GR_Index1, 2, GR_ad_z_1  // Point to Z_1
+      fclass.nm p10, p0 =  FR_Input_X, 0x1FF  // Test for unsupported
+      extr.u GR_X_0 = GR_signif, 49, 15       // Get high 15 bits of significand
+}
+{ .mfi
+      ldfe FR_P8 = [GR_ad_p],16               // Load P_8 for near1 path
+      fsub.s1 FR_W = FR_X_Prime, f1           // W = x - 1
+      add   GR_ad_ln10 = 0x060, GR_ad_q       // Point to Constants_1_by_LN10
+}
+;;
+
+{ .mfi
+      ld4 GR_Z_1 = [GR_ad_z_1]                // Load Z_1
+      nop.f 999
+      mov GR_exp_mask = 0x1FFFF               // Create exponent mask
+}
+{ .mib
+      shladd GR_ad_tbl_1 = GR_Index1, 4, GR_ad_tbl_1  // Point to G_1
+      mov GR_Bias = 0x0FFFF                   // Create exponent bias
+(p13) br.cond.spnt LOGL_64_negative           // Branch if x<0
+}
+;;
+
+{ .mfb
+      ldfps  FR_G, FR_H = [GR_ad_tbl_1],8     // Load G_1, H_1
+      fmerge.se FR_S_hi =  f1,FR_X_Prime      // Form |x|
+(p8)  br.cond.spnt LOGL_64_zero               // Branch if x=0
+}
+;;
+
+{ .mmb
+      getf.exp GR_N =  FR_X_Prime             // Get N = exponent of x
+      ldfd  FR_h = [GR_ad_tbl_1]              // Load h_1
+(p10) br.cond.spnt LOGL_64_unsupported        // Branch for unsupported type
+}
+;;
+
+{ .mfi
+      ldfe FR_log2_hi = [GR_ad_q],16          // Load log2_hi
+      fcmp.eq.s0 p8, p0 =  FR_Input_X, f0     // Dummy op to flag denormals
+      pmpyshr2.u GR_X_1 = GR_X_0,GR_Z_1,15    // Get bits 30-15 of X_0 * Z_1
+}
+;;
+
+//
+//    For performance, don't use result of pmpyshr2.u for 4 cycles.
+//
+{ .mmi
+      ldfe FR_log2_lo = [GR_ad_q],16          // Load log2_lo
+(p14) ldfe FR_1LN10_hi = [GR_ad_ln10],16      // If log10l, load 1/ln10_hi
+      sub GR_N = GR_N, GR_Bias 
+}
+;;
+
+{ .mmi
+      ldfe FR_Q4 = [GR_ad_q],16               // Load Q4
+(p14) ldfe FR_1LN10_lo = [GR_ad_ln10]         // If log10l, load 1/ln10_lo
+      nop.i 999
+}
+;;
+
+{ .mmi
+      ldfe FR_Q3 = [GR_ad_q],16               // Load Q3
+      setf.sig FR_float_N = GR_N   // Put integer N into rightmost significand
+      nop.i 999
+}
+;;
+
+{ .mmi
+      getf.exp GR_M = FR_W                    // Get signexp of w = x - 1
+      ldfe FR_Q2 = [GR_ad_q],16               // Load Q2
+      extr.u GR_Index2 = GR_X_1, 6, 4         // Extract bits 6-9 of X_1 
+}
+;;
+
+{ .mmi
+      ldfe FR_Q1 = [GR_ad_q]                  // Load Q1
+      shladd GR_ad_z_2 = GR_Index2, 2, GR_ad_z_2  // Point to Z_2
+      add GR_ad_p2  = 0x30,GR_ad_p            // Point to P_4
+}
+;;
+
+{ .mmi
+      ld4 GR_Z_2 = [GR_ad_z_2]                // Load Z_2
+      shladd GR_ad_tbl_2 = GR_Index2, 4, GR_ad_tbl_2  // Point to G_2
+      and GR_M = GR_exp_mask, GR_M            // Get exponent of w = x - 1
+}
+;;
+
+{ .mmi
+      ldfps  FR_G2, FR_H2 = [GR_ad_tbl_2],8   // Load G_2, H_2
+      cmp.lt  p8, p9 =  GR_M, GR_exp_2tom7    // Test |x-1| < 2^-7
+      nop.i 999
+}
+;;
+
+// Paths are merged.
+//  p8 is for the near1 path: |x-1| < 2^-7
+//  p9 is for regular path:   |x-1| >= 2^-7
+
+{ .mmi
+      ldfd  FR_h2 = [GR_ad_tbl_2]             // Load h_2
+      nop.m 999
+      nop.i 999
+}
+;;
+
+{ .mmi
+(p8)  ldfe FR_P7 = [GR_ad_p],16               // Load P_7 for near1 path
+(p8)  ldfe FR_P4 = [GR_ad_p2],16              // Load P_4 for near1 path
+(p9)  pmpyshr2.u GR_X_2 = GR_X_1,GR_Z_2,15    // Get bits 30-15 of X_1 * Z_2
+}
+;;
+
+//
+//    For performance, don't use result of pmpyshr2.u for 4 cycles.
+//
+{ .mmi
+(p8)  ldfe FR_P6 = [GR_ad_p],16               // Load P_6 for near1 path
+(p8)  ldfe FR_P3 = [GR_ad_p2],16              // Load P_3 for near1 path
+      nop.i 999
+}
+;;
+
+{ .mmf
+(p8)  ldfe FR_P5 = [GR_ad_p],16               // Load P_5 for near1 path
+(p8)  ldfe FR_P2 = [GR_ad_p2],16              // Load P_2 for near1 path
+(p8)  fmpy.s1 FR_wsq = FR_W, FR_W             // wsq = w * w for near1 path
+}
+;;
+
+{ .mmi
+(p8)  ldfe FR_P1 = [GR_ad_p2],16 ;;           // Load P_1 for near1 path
+      nop.m 999
+(p9)  extr.u GR_Index3 = GR_X_2, 1, 5         // Extract bits 1-5 of X_2
+}
+;;
+
+{ .mfi
+(p9)  shladd GR_ad_tbl_3 = GR_Index3, 4, GR_ad_tbl_3  // Point to G_3
+(p9)  fcvt.xf FR_float_N = FR_float_N
+      nop.i 999
+}
+;;
+
+{ .mfi
+(p9)  ldfps  FR_G3, FR_H3 = [GR_ad_tbl_3],8   // Load G_3, H_3
+      nop.f 999
+      nop.i 999
+}
+;;
+
+{ .mfi
+(p9)  ldfd  FR_h3 = [GR_ad_tbl_3]             // Load h_3
+(p9)  fmpy.s1 FR_G = FR_G, FR_G2              // G = G_1 * G_2
+      nop.i 999
+}
+{ .mfi
+      nop.m 999
+(p9)  fadd.s1 FR_H = FR_H, FR_H2              // H = H_1 + H_2
+      nop.i 999
+}
+;;
+
+{ .mmf
+      nop.m 999
+      nop.m 999
+(p9)  fadd.s1 FR_h = FR_h, FR_h2              // h = h_1 + h_2
+}
+;;
+
+{ .mfi
+      nop.m 999
+(p8)  fmpy.s1 FR_w4 = FR_wsq, FR_wsq          // w4 = w^4 for near1 path
+      nop.i 999
+}
+{ .mfi
+      nop.m 999
+(p8)  fma.s1 FR_p87 = FR_W, FR_P8, FR_P7      // p87 = w * P8 + P7
+      nop.i 999
+}
+;;
+
+{ .mfi
+      nop.m 999
+(p8)  fma.s1 FR_p43 = FR_W, FR_P4, FR_P3      // p43 = w * P4 + P3
+      nop.i 999
+}
+;;
+
+{ .mfi
+      nop.m 999
+(p9)  fmpy.s1 FR_G = FR_G, FR_G3              // G = (G_1 * G_2) * G_3
+      nop.i 999
+}
+{ .mfi
+      nop.m 999
+(p9)  fadd.s1 FR_H = FR_H, FR_H3              // H = (H_1 + H_2) + H_3
+      nop.i 999
+}
+;;
+
+{ .mfi
+      nop.m 999
+(p9)  fadd.s1 FR_h = FR_h, FR_h3              // h = (h_1 + h_2) + h_3
+      nop.i 999
+}
+{ .mfi
+      nop.m 999
+(p8)  fmpy.s1 FR_w6 = FR_w4, FR_wsq           // w6 = w^6 for near1 path
+      nop.i 999
+}
+;;
+
+{ .mfi
+      nop.m 999
+(p8)  fma.s1 FR_p432 = FR_W, FR_p43, FR_P2    // p432 = w * p43 + P2
+      nop.i 999
+}
+{ .mfi
+      nop.m 999
+(p8)  fma.s1 FR_p876 = FR_W, FR_p87, FR_P6    // p876 = w * p87 + P6
+      nop.i 999
+}
+;;
+
+{ .mfi
+      nop.m 999
+(p9)  fms.s1 FR_r = FR_G, FR_S_hi, f1         // r = G * S_hi - 1
+      nop.i 999
+}
+{ .mfi
+      nop.m 999
+(p9)  fma.s1 FR_Y_hi = FR_float_N, FR_log2_hi, FR_H // Y_hi = N * log2_hi + H
+      nop.i 999
+}
+;;
+
+{ .mfi
+      nop.m 999
+(p9)  fma.s1 FR_h = FR_float_N, FR_log2_lo, FR_h  // h = N * log2_lo + h
+      nop.i 999
+}
+;;
+
+{ .mfi
+      nop.m 999
+(p8)  fma.s1 FR_p4321 = FR_W, FR_p432, FR_P1      // p4321 = w * p432 + P1
+      nop.i 999
+}
+{ .mfi
+      nop.m 999
+(p8)  fma.s1 FR_p8765 = FR_W, FR_p876, FR_P5      // p8765 = w * p876 + P5
+      nop.i 999
+}
+;;
+
+{ .mfi
+      nop.m 999
+(p9)  fma.s1 FR_poly_lo = FR_r, FR_Q4, FR_Q3      // poly_lo = r * Q4 + Q3
+      nop.i 999
+}
+{ .mfi
+      nop.m 999
+(p9)  fmpy.s1 FR_rsq = FR_r, FR_r                 // rsq = r * r
+      nop.i 999
+}
+;;
+
+{ .mfi
+      nop.m 999
+(p8)  fma.s1 FR_Y_lo = FR_wsq, FR_p4321, f0       // Y_lo = wsq * p4321
+      nop.i 999
+}
+{ .mfi
+      nop.m 999
+(p8)  fma.s1 FR_Y_hi = FR_W, f1, f0               // Y_hi = w for near1 path
+      nop.i 999
+}
+;;
+
+{ .mfi
+      nop.m 999
+(p9)  fma.s1 FR_poly_lo = FR_poly_lo, FR_r, FR_Q2 // poly_lo = poly_lo * r + Q2
+      nop.i 999
+}
+{ .mfi
+      nop.m 999
+(p9)  fma.s1 FR_rcub = FR_rsq, FR_r, f0           // rcub = r^3
+      nop.i 999
+}
+;;
+
+{ .mfi
+      nop.m 999
+(p8)  fma.s1 FR_Y_lo = FR_w6, FR_p8765,FR_Y_lo // Y_lo = w6 * p8765 + w2 * p4321
+      nop.i 999
+}
+;;
+
+{ .mfi
+      nop.m 999
+(p9)  fma.s1 FR_poly_hi = FR_Q1, FR_rsq, FR_r     // poly_hi = Q1 * rsq + r
+      nop.i 999
+}
+;;
+
+{ .mfi
+      nop.m 999
+(p9)  fma.s1 FR_poly_lo = FR_poly_lo, FR_rcub, FR_h // poly_lo = poly_lo*r^3 + h
+      nop.i 999
+}
+;;
+
+{ .mfi
+      nop.m 999
+(p9)  fadd.s1 FR_Y_lo = FR_poly_hi, FR_poly_lo    // Y_lo = poly_hi + poly_lo 
+      nop.i 999
+}
+;;
+
+// Remainder of code is common for near1 and regular paths
+{ .mfi
+      nop.m 999
+(p7)  fadd.s0  f8 = FR_Y_lo,FR_Y_hi               // If logl, result=Y_lo+Y_hi
+      nop.i 999
+}
+{ .mfi
+      nop.m 999
+(p14) fmpy.s1 FR_Output_X_tmp = FR_Y_lo,FR_1LN10_hi
+      nop.i 999
+}
+;;
+
+{ .mfi
+      nop.m 999
+(p14) fma.s1  FR_Output_X_tmp = FR_Y_hi,FR_1LN10_lo,FR_Output_X_tmp
+      nop.i 999
+}
+;;
+
+{ .mfb
+      nop.m 999
+(p14) fma.s0  f8 = FR_Y_hi,FR_1LN10_hi,FR_Output_X_tmp
+      br.ret.sptk   b0                        // Common exit for 0 < x < inf
+}
+;;
+
+
+// Here if x=+-0
+LOGL_64_zero: 
+//
+//    If x=+-0 raise divide by zero and return -inf
+//  
+{ .mfi
+(p7)  mov   GR_Parameter_TAG = 0
+      fsub.s1 FR_Output_X_tmp = f0, f1 
+      nop.i 999
+}
+;;
+
+{ .mfb
+(p14) mov   GR_Parameter_TAG = 6 
+      frcpa.s0 FR_Output_X_tmp, p8 =  FR_Output_X_tmp, f0 
+      br.cond.sptk __libm_error_region
+}
+;;
+
+LOGL_64_special: 
+{ .mfi
+      nop.m 999
+      fclass.m.unc p8, p0 =  FR_Input_X, 0x1E1  // Test for natval, nan, +inf
+      nop.i 999
+}
+;;
+
+//     
+//    For SNaN raise invalid and return QNaN.
+//    For QNaN raise invalid and return QNaN.
+//    For +Inf return +Inf.
+//    
+{ .mfb
+      nop.m 999
+(p8)  fmpy.s0 f8 =  FR_Input_X, f1 
+(p8)  br.ret.sptk   b0                          // Return for natval, nan, +inf
+}
+;;
+
+//    
+//    For -Inf raise invalid and return QNaN.
+//    
+{ .mmi
+(p7)  mov   GR_Parameter_TAG = 1
+      nop.m 999
+      nop.i 999
+}
+;;
+
+{ .mfb
+(p14) mov   GR_Parameter_TAG = 7
+      fmpy.s0 FR_Output_X_tmp =  FR_Input_X, f0 
+      br.cond.sptk __libm_error_region
+}
+;;
+
+// Here if x denormal or unnormal
+LOGL_64_denormal:
+{ .mmi
+      getf.sig GR_signif = FR_X_Prime   // Get significand of normalized input
+      nop.m 999
+      nop.i 999
+}
+;;
+
+{ .mmb
+      getf.exp GR_N =  FR_X_Prime       // Get exponent of normalized input
+      nop.m 999
+      br.cond.sptk   LOGL_64_COMMON     // Branch back to common code
+}
+;;
+
+LOGL_64_unsupported: 
+//    
+//    Return generated NaN or other value.
+//    
+{ .mfb
+      nop.m 999
+      fmpy.s0 f8 = FR_Input_X, f0 
+      br.ret.sptk   b0
+}
+;;
+
+// Here if -inf < x < 0
+LOGL_64_negative: 
+//     
+//    Deal with x < 0 in a special way - raise
+//    invalid and produce QNaN indefinite.
+//    
+{ .mfi
+(p7)  mov   GR_Parameter_TAG = 1
+      frcpa.s0 FR_Output_X_tmp, p8 =  f0, f0
+      nop.i 999
+}
+;;
+
+{ .mib
+(p14) mov   GR_Parameter_TAG = 7
+      nop.i 999
+      br.cond.sptk __libm_error_region
+}
+;;
+
+
+GLOBAL_IEEE754_END(log10l)
+LOCAL_LIBM_ENTRY(__libm_error_region)
+.prologue
+{ .mfi
+        add   GR_Parameter_Y=-32,sp             // Parameter 2 value
+        nop.f 0
+.save   ar.pfs,GR_SAVE_PFS
+        mov  GR_SAVE_PFS=ar.pfs                 // Save ar.pfs
+}
+{ .mfi
+.fframe 64
+        add sp=-64,sp                           // Create new stack
+        nop.f 0
+        mov GR_SAVE_GP=gp                       // Save gp
+};;
+{ .mmi
+        stfe [GR_Parameter_Y] = FR_Y,16         // Save Parameter 2 on stack
+        add GR_Parameter_X = 16,sp              // Parameter 1 address
+.save   b0, GR_SAVE_B0
+        mov GR_SAVE_B0=b0                       // Save b0
+};;
+.body
+{ .mib
+        stfe [GR_Parameter_X] = FR_X            // Store Parameter 1 on stack
+        add   GR_Parameter_RESULT = 0,GR_Parameter_Y
+        nop.b 0                                 // Parameter 3 address
+}
+{ .mib
+        stfe [GR_Parameter_Y] = FR_RESULT      // Store Parameter 3 on stack
+        add   GR_Parameter_Y = -16,GR_Parameter_Y
+        br.call.sptk b0=__libm_error_support#  // Call error handling function
+};;
+{ .mmi
+        nop.m 999
+        nop.m 999
+        add   GR_Parameter_RESULT = 48,sp
+};;
+{ .mmi
+        ldfe  f8 = [GR_Parameter_RESULT]       // Get return result off stack
+.restore sp
+        add   sp = 64,sp                       // Restore stack pointer
+        mov   b0 = GR_SAVE_B0                  // Restore return address
+};;
+{ .mib
+        mov   gp = GR_SAVE_GP                  // Restore gp
+        mov   ar.pfs = GR_SAVE_PFS             // Restore ar.pfs
+        br.ret.sptk     b0                     // Return
+};;
+
+LOCAL_LIBM_END(__libm_error_region#)
+
+.type   __libm_error_support#,@function
+.global __libm_error_support#
diff --git a/sysdeps/ia64/fpu/e_pow.S b/sysdeps/ia64/fpu/e_pow.S
index 56f7f078ba..11fae53d72 100644
--- a/sysdeps/ia64/fpu/e_pow.S
+++ b/sysdeps/ia64/fpu/e_pow.S
@@ -1,10 +1,10 @@
 .file "pow.s"
 
-// Copyright (C) 2000, 2001, Intel Corporation
+
+// Copyright (c) 2000 - 2003, Intel Corporation
 // All rights reserved.
 //
-// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story,
-// and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation.
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
 //
 // Redistribution and use in source and binary forms, with or without
 // modification, are permitted provided that the following conditions are
@@ -20,7 +20,7 @@
 // * The name of Intel Corporation may not be used to endorse or promote
 // products derived from this software without specific prior written
 // permission.
-//
+
 // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
 // "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
@@ -35,30 +35,41 @@
 //
 // Intel Corporation is the author of this code, and requests that all
 // problem reports or change requests be submitted to it directly at
-// http://developer.intel.com/opensource.
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
 //
 // History
 //==============================================================
-// 2/02/00  Initial version
-// 2/03/00  Added p12 to definite over/under path. With odd power we did not
+// 02/02/00 Initial version
+// 02/03/00 Added p12 to definite over/under path. With odd power we did not
 //          maintain the sign of x in this path.
-// 4/04/00  Unwind support added
-// 4/19/00  pow(+-1,inf) now returns NaN
-//          pow(+-val, +-inf) returns 0 or inf, but now does not call error support
+// 04/04/00 Unwind support added
+// 04/19/00 pow(+-1,inf) now returns NaN
+//          pow(+-val, +-inf) returns 0 or inf, but now does not call error
+//          support
 //          Added s1 to fcvt.fx because invalid flag was incorrectly set.
-// 8/15/00  Bundle added after call to __libm_error_support to properly
+// 08/15/00 Bundle added after call to __libm_error_support to properly
 //          set [the previously overwritten] GR_Parameter_RESULT.
-// 9/07/00  Improved performance by eliminating bank conflicts and other stalls,
+// 09/07/00 Improved performance by eliminating bank conflicts and other stalls,
 //          and tweaking the critical path
-// 9/08/00  Per c99, pow(+-1,inf) now returns 1, and pow(+1,nan) returns 1
-// 9/28/00  Updated NaN**0 path 
-// 1/20/01  Fixed denormal flag settings.
-// 2/12/01  Improved speed.
+// 09/08/00 Per c99, pow(+-1,inf) now returns 1, and pow(+1,nan) returns 1
+// 09/28/00 Updated NaN**0 path
+// 01/20/01 Fixed denormal flag settings.
+// 02/13/01 Improved speed.
+// 03/19/01 Reordered exp polynomial to improve speed and eliminate monotonicity
+//          problem in round up, down, and to zero modes.  Also corrected
+//          overflow result when x negative, y odd in round up, down, zero.
+// 06/14/01 Added brace missing from bundle
+// 12/10/01 Corrected case where x negative, 2^52 <= |y| < 2^53, y odd integer.
+// 12/20/01 Fixed monotonity problem in round to nearest.
+// 02/08/02 Fixed overflow/underflow cases that were not calling error support.
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 08/29/02 Improved Itanium 2 performance
+// 09/21/02 Added branch for |y*log(x)|<2^-11 to fix monotonicity problems.
+// 02/10/03 Reordered header: .section, .global, .proc, .align
 //
 // API
 //==============================================================
-// double pow(double)
-// float  powf(float)
+// double pow(double x, double y)
 //
 // Overview of operation
 //==============================================================
@@ -67,51 +78,51 @@
 // 1. Log(x)
 // 2. y Log(x)
 // 3. exp(y log(x))
-// 
+//
 // This means we work with the absolute value of x and merge in the sign later.
 //      Log(x) = G + delta + r -rsq/2 + p
 // G,delta depend on the exponent of x and table entries. The table entries are
 // indexed by the exponent of x, called K.
-// 
+//
 // The G and delta come out of the reduction; r is the reduced x.
-// 
+//
 // B = frcpa(x)
 // xB-1 is small means that B is the approximate inverse of x.
-// 
+//
 //      Log(x) = Log( (1/B)(Bx) )
 //             = Log(1/B) + Log(Bx)
 //             = Log(1/B) + Log( 1 + (Bx-1))
-// 
+//
 //      x  = 2^K 1.x_1x_2.....x_52
-//      B= frcpa(x) = 2^-k Cm 
+//      B= frcpa(x) = 2^-k Cm
 //      Log(1/B) = Log(1/(2^-K Cm))
 //      Log(1/B) = Log((2^K/ Cm))
 //      Log(1/B) = K Log(2) + Log(1/Cm)
-// 
+//
 //      Log(x)   = K Log(2) + Log(1/Cm) + Log( 1 + (Bx-1))
-// 
+//
 // If you take the significand of x, set the exponent to true 0, then Cm is
 // the frcpa. We tabulate the Log(1/Cm) values. There are 256 of them.
 // The frcpa table is indexed by 8 bits, the x_1 thru x_8.
 // m = x_1x_2...x_8 is an 8-bit index.
-// 
+//
 //      Log(1/Cm) = log(1/frcpa(1+m/256)) where m goes from 0 to 255.
-// 
+//
 // We tabluate as two doubles, T and t, where T +t is the value itself.
-// 
+//
 //      Log(x)   = (K Log(2)_hi + T) + (Log(2)_hi + t) + Log( 1 + (Bx-1))
 //      Log(x)   =  G + delta           + Log( 1 + (Bx-1))
-// 
+//
 // The Log( 1 + (Bx-1)) can be calculated as a series in r = Bx-1.
-// 
+//
 //      Log( 1 + (Bx-1)) = r - rsq/2 + p
-// 
+//
 // Then,
-//    
+//
 //      yLog(x) = yG + y delta + y(r-rsq/2) + yp
 //      yLog(x) = Z1 + e3      + Z2         + Z3 + (e2 + e3)
-// 
-// 
+//
+//
 //     exp(yLog(x)) = exp(Z1 + Z2 + Z3) exp(e1 + e2 + e3)
 //
 //
@@ -133,7 +144,7 @@
 //       exp(r)       = exp(Z - N log2/128)
 //
 //      r = s + d = (Z - N (log2/128)_hi) -N (log2/128)_lo
-//                =  Z - N (log2/128) 
+//                =  Z - N (log2/128)
 //
 //      Z         = s+d +N (log2/128)
 //
@@ -149,22 +160,22 @@
 //      n log2/128 = n_7n_6n_5 log2/8 + n_4n_3n_2n_1 log2/128
 //      n log2/128 = I2 log2/8 + I1 log2/128
 //
-//      N log2/128 = M log2 + I2 log2/8 + I1 log2/128 
+//      N log2/128 = M log2 + I2 log2/8 + I1 log2/128
 //
 //      exp(Z)    = exp(s) (1+d) exp(log(2^M) + log(2^I2/8) + log(2^I1/128))
 //      exp(Z)    = exp(s) (1+d1) (1+d2)(2^M) 2^I2/8 2^I1/128
 //      exp(Z)    = exp(s) f1 f2 (2^M) 2^I2/8 2^I1/128
 //
 // I1, I2 are table indices. Use a series for exp(s).
-// Then get exp(Z) 
+// Then get exp(Z)
 //
 //     exp(yLog(x)) = exp(Z1 + Z2 + Z3) exp(e1 + e2 + e3)
-//     exp(yLog(x)) = exp(Z) exp(Z3) f3 
-//     exp(yLog(x)) = exp(Z)f3 exp(Z3)  
-//     exp(yLog(x)) = A exp(Z3)  
+//     exp(yLog(x)) = exp(Z) exp(Z3) f3
+//     exp(yLog(x)) = exp(Z)f3 exp(Z3)
+//     exp(yLog(x)) = A exp(Z3)
 //
 // We actually calculate exp(Z3) -1.
-// Then, 
+// Then,
 //     exp(yLog(x)) = A + A( exp(Z3)   -1)
 //
 
@@ -175,142 +186,146 @@
 // ==============
 // The operation (K*log2_hi) must be exact. K is the true exponent of x.
 // If we allow gradual underflow (denormals), K can be represented in 12 bits
-// (as a two's complement number). We assume 13 bits as an engineering precaution.
-// 
+// (as a two's complement number). We assume 13 bits as an engineering
+// precaution.
+//
 //           +------------+----------------+-+
 //           |  13 bits   | 50 bits        | |
 //           +------------+----------------+-+
 //           0            1                66
 //                        2                34
-// 
+//
 // So we want the lsb(log2_hi) to be 2^-50
 // We get log2 as a quad-extended (15-bit exponent, 128-bit significand)
-// 
+//
 //      0 fffe b17217f7d1cf79ab c9e3b39803f2f6af (4...)
-// 
+//
 // Consider numbering the bits left to right, starting at 0 thru 127.
 // Bit 0 is the 2^-1 bit; bit 49 is the 2^-50 bit.
-// 
+//
 //  ...79ab
 //     0111 1001 1010 1011
 //     44
 //     89
-// 
-// So if we shift off the rightmost 14 bits, then (shift back only 
+//
+// So if we shift off the rightmost 14 bits, then (shift back only
 // the top half) we get
-// 
+//
 //      0 fffe b17217f7d1cf4000 e6af278ece600fcb dabc000000000000
-// 
+//
 // Put the right 64-bit signficand in an FR register, convert to double;
 // it is exact. Put the next 128 bits into a quad register and round to double.
 // The true exponent of the low part is -51.
-// 
+//
 // hi is 0 fffe b17217f7d1cf4000
 // lo is 0 ffcc e6af278ece601000
-// 
+//
 // Convert to double memory format and get
-// 
+//
 // hi is 0x3fe62e42fefa39e8
-// lo is 0x3cccd5e4f1d9cc02 
-// 
+// lo is 0x3cccd5e4f1d9cc02
+//
 // log2_hi + log2_lo is an accurate value for log2.
-// 
-// 
+//
+//
 // The T and t values
 // ==================
 // A similar method is used to generate the T and t values.
-// 
+//
 // K * log2_hi + T  must be exact.
-// 
+//
 // Smallest T,t
 // ----------
-// The smallest T,t is 
+// The smallest T,t is
 //       T                   t
-// data8 0x3f60040155d58800, 0x3c93bce0ce3ddd81  log(1/frcpa(1+0/256))=  +1.95503e-003
-// 
+// 0x3f60040155d58800, 0x3c93bce0ce3ddd81  log(1/frcpa(1+0/256))=  +1.95503e-003
+//
 // The exponent is 0x3f6 (biased)  or -9 (true).
 // For the smallest T value, what we want is to clip the significand such that
-// when it is shifted right by 9, its lsb is in the bit for 2^-51. The 9 is the specific 
-// for the first entry. In general, it is 0xffff - (biased 15-bit exponent).
+// when it is shifted right by 9, its lsb is in the bit for 2^-51. The 9 is the
+// specific for the first entry. In general, it is 0xffff - (biased 15-bit
+// exponent).
 
-// Independently, what we have calculated is the table value as a quad precision number.
+// Independently, what we have calculated is the table value as a quad
+// precision number.
 // Table entry 1 is
 // 0 fff6 80200aaeac44ef38 338f77605fdf8000
-// 
+//
 // We store this quad precision number in a data structure that is
-//    sign:           1 
+//    sign:           1
 //    exponent:      15
 //    signficand_hi: 64 (includes explicit bit)
 //    signficand_lo: 49
 // Because the explicit bit is included, the significand is 113 bits.
-// 
+//
 // Consider significand_hi for table entry 1.
-// 
-// 
+//
+//
 // +-+--- ... -------+--------------------+
 // | |
 // +-+--- ... -------+--------------------+
 // 0 1               4444444455555555556666
 //                   2345678901234567890123
-// 
+//
 // Labeled as above, bit 0 is 2^0, bit 1 is 2^-1, etc.
 // Bit 42 is 2^-42. If we shift to the right by 9, the bit in
 // bit 42 goes in 51.
-// 
+//
 // So what we want to do is shift bits 43 thru 63 into significand_lo.
-// This is shifting bit 42 into bit 63, taking care to retain the shifted-off bits.
-// Then shifting (just with signficaand_hi) back into bit 42. 
-//  
-// The shift_value is 63-42 = 21. In general, this is 
+// This is shifting bit 42 into bit 63, taking care to retain shifted-off bits.
+// Then shifting (just with signficaand_hi) back into bit 42.
+//
+// The shift_value is 63-42 = 21. In general, this is
 //      63 - (51 -(0xffff - 0xfff6))
 // For this example, it is
 //      63 - (51 - 9) = 63 - 42  = 21
-// 
-// This means we are shifting 21 bits into significand_lo.  We must maintain more
-// that a 128-bit signficand not to lose bits. So before the shift we put the 128-bit 
-// significand into a 256-bit signficand and then shift.
+//
+// This means we are shifting 21 bits into significand_lo. We must maintain more
+// that a 128-bit signficand not to lose bits. So before the shift we put the
+// 128-bit significand into a 256-bit signficand and then shift.
 // The 256-bit significand has four parts: hh, hl, lh, and ll.
-// 
+//
 // Start off with
 //      hh         hl         lh         ll
 //      <64>       <49><15_0> <64_0>     <64_0>
-// 
+//
 // After shift by 21 (then return for significand_hi),
 //      <43><21_0> <21><43>   <6><58_0>  <64_0>
-// 
+//
 // Take the hh part and convert to a double. There is no rounding here.
-// The conversion is exact. The true exponent of the high part is the same as the
-// true exponent of the input quad.
-// 
-// We have some 64 plus significand bits for the low part. In this example, we have
-// 70 bits. We want to round this to a double. Put them in a quad and then do a quad fnorm.
-// For this example the true exponent of the low part is 
+// The conversion is exact. The true exponent of the high part is the same as
+// the true exponent of the input quad.
+//
+// We have some 64 plus significand bits for the low part. In this example, we
+// have 70 bits. We want to round this to a double. Put them in a quad and then
+// do a quad fnorm.
+// For this example the true exponent of the low part is
 //      true_exponent_of_high - 43 = true_exponent_of_high - (64-21)
-// In general, this is 
-//      true_exponent_of_high - (64 - shift_value)  
-// 
-// 
+// In general, this is
+//      true_exponent_of_high - (64 - shift_value)
+//
+//
 // Largest T,t
 // ----------
 // The largest T,t is
-// data8 0x3fe62643fecf9742, 0x3c9e3147684bd37d    log(1/frcpa(1+255/256))=  +6.92171e-001
-// 
+// 0x3fe62643fecf9742, 0x3c9e3147684bd37d  log(1/frcpa(1+255/256))=+6.92171e-001
+//
 // Table entry 256 is
 // 0 fffe b1321ff67cba178c 51da12f4df5a0000
-// 
-// The shift value is 
+//
+// The shift value is
 //      63 - (51 -(0xffff - 0xfffe)) = 13
-// 
-// The true exponent of the low part is 
+//
+// The true exponent of the low part is
 //      true_exponent_of_high - (64 - shift_value)
 //      -1 - (64-13) = -52
 // Biased as a double, this is 0x3cb
-// 
-// 
-// 
+//
+//
+//
 // So then lsb(T) must be >= 2^-51
 // msb(Klog2_hi) <= 2^12
-// 
+//
 //              +--------+---------+
 //              |       51 bits    | <== largest T
 //              +--------+---------+
@@ -320,7 +335,6 @@
 // +------------+----------------+-+
 
 
-
 // Special Cases
 //==============================================================
 
@@ -385,63 +399,67 @@
 
 // X any   Y =0               +1
 
-#include "libm_support.h"
-
 // Assembly macros
 //==============================================================
 
 // integer registers used
 
-pow_AD_Tt                 = r33
-pow_GR_FFF7               = r34
-pow_GR_exp_Y              = r34 // duplicate
-pow_GR_17ones             = r35
-
-pow_AD_P                  = r36
-pow_AD_Q                  = r37
-pow_AD_tbl1               = r38
-pow_AD_tbl2               = r39
-pow_GR_exp_X              = r40
-pow_GR_true_exp_X         = r40 // duplicate
-
-pow_GR_offset             = r41
-pow_GR_exp_Xm1            = r42
-pow_GR_sig_X              = r43
-pow_GR_signexp_X          = r44
-
-pow_GR_signexp_Xm1        = r46
-pow_GR_int_W1             = r47
-pow_GR_int_W2             = r48
-pow_GR_int_N              = r49
-pow_GR_index1             = r50
-
-pow_GR_index2             = r51
-pow_AD_T1                 = r52
-pow_AD_T2                 = r53
-pow_GR_gt_ln              = r53 // duplicate
-pow_int_GR_M              = r54
-pow_GR_10033              = r55
-
-pow_GR_16ones             = r56
-pow_GR_sig_int_Y          = r57
-pow_GR_sign_Y_Gpr         = r58
-pow_GR_17ones_m1          = r59
-pow_GR_one                = r60
-pow_GR_sign_Y             = r60 
-
-pow_GR_signexp_Y_Gpr      = r61 
-pow_GR_exp_Y_Gpr          = r62 
-pow_GR_true_exp_Y_Gpr     = r63 
-pow_GR_signexp_Y          = r64 
-
-GR_SAVE_B0                = r65
-GR_SAVE_GP                = r66
-GR_SAVE_PFS               = r67
-
-GR_Parameter_X            = r68
-GR_Parameter_Y            = r69
-GR_Parameter_RESULT       = r70
-pow_GR_tag                = r71
+pow_GR_signexp_X          = r14
+pow_GR_17ones             = r15
+pow_AD_P                  = r16
+pow_GR_exp_2tom8          = r17
+pow_GR_sig_X              = r18
+pow_GR_10033              = r19
+pow_GR_16ones             = r20
+
+pow_AD_Tt                 = r21
+pow_GR_exp_X              = r22
+pow_AD_Q                  = r23
+pow_GR_true_exp_X         = r24
+pow_GR_y_zero             = r25
+
+pow_GR_exp_Y              = r26
+pow_AD_tbl1               = r27
+pow_AD_tbl2               = r28
+pow_GR_offset             = r29
+pow_GR_exp_Xm1            = r30
+pow_GR_xneg_yodd          = r31
+
+pow_GR_signexp_Xm1        = r35
+pow_GR_int_W1             = r36
+pow_GR_int_W2             = r37
+pow_GR_int_N              = r38
+pow_GR_index1             = r39
+pow_GR_index2             = r40
+
+pow_AD_T1                 = r41
+pow_AD_T2                 = r42
+pow_int_GR_M              = r43
+pow_GR_sig_int_Y          = r44
+pow_GR_sign_Y_Gpr         = r45
+
+pow_GR_17ones_m1          = r46
+pow_GR_one                = r47
+pow_GR_sign_Y             = r48
+pow_GR_signexp_Y_Gpr      = r49
+pow_GR_exp_Y_Gpr          = r50
+
+pow_GR_true_exp_Y_Gpr     = r51
+pow_GR_signexp_Y          = r52
+pow_GR_x_one              = r53
+pow_GR_exp_2toM63         = r54
+pow_GR_big_pos            = r55
+
+pow_GR_big_neg            = r56
+
+GR_SAVE_B0                = r50
+GR_SAVE_GP                = r51
+GR_SAVE_PFS               = r52
+
+GR_Parameter_X            = r53
+GR_Parameter_Y            = r54
+GR_Parameter_RESULT       = r55
+pow_GR_tag                = r56
 
 
 // floating point registers used
@@ -464,7 +482,8 @@ POW_log2_lo               = f43
 POW_r                     = f44
 POW_Q0_half               = f45
 
-POW_Q1                    = f46  
+POW_Q1                    = f46
+POW_tmp                   = f47
 POW_log2_hi               = f48
 POW_Q4                    = f49
 POW_P1                    = f50
@@ -476,6 +495,7 @@ POW_Yrcub                 = f54
 POW_log2_by_128_lo        = f55
 
 POW_v6                    = f56
+POW_xsq                   = f57
 POW_v4                    = f58
 POW_v2                    = f59
 POW_T                     = f60
@@ -484,6 +504,7 @@ POW_Tt                    = f61
 POW_RSHF                  = f62
 POW_v21ps                 = f63
 POW_s4                    = f64
+POW_twoV                  = f65
 
 POW_U                     = f66
 POW_G                     = f67
@@ -533,44 +554,45 @@ POW_1ps                   = f103
 POW_A                     = f104
 POW_es                    = f105
 
+POW_Xp1                   = f106
 POW_int_K                 = f107
 POW_K                     = f108
 POW_f123                  = f109
 POW_Gpr                   = f110
 
-POW_Y_Gpr                 = f111 
+POW_Y_Gpr                 = f111
 POW_int_Y                 = f112
+POW_abs_q                 = f114
+POW_2toM63                = f115
 
 POW_float_int_Y           = f116
 POW_ftz_urm_f8            = f117
 POW_wre_urm_f8            = f118
-POW_abs_A                 = f119
-POW_gt_pln                = f120
+POW_big_neg               = f119
+POW_big_pos               = f120
 
-POW_xsq                   = f121
-
-POW_twoV                  = f122
-POW_Xp1                   = f123
+POW_GY_Z2                 = f121
+POW_pYrcub_e3             = f122
+POW_d                     = f123
+POW_d2                    = f124
+POW_poly_d_hi             = f121
+POW_poly_d_lo             = f122
+POW_poly_d                = f121
 
 // Data tables
 //==============================================================
 
-#ifdef _LIBC
-.rodata
-#else
-.data
-#endif
+RODATA
 
 .align 16
 
-pow_table_P:
-ASM_TYPE_DIRECTIVE(pow_table_P,@object)
+LOCAL_OBJECT_START(pow_table_P)
 data8 0x8000F7B249FF332D, 0x0000BFFC  // P_5
 data8 0xAAAAAAA9E7902C7F, 0x0000BFFC  // P_3
 data8 0x80000000000018E5, 0x0000BFFD  // P_1
 data8 0xb8aa3b295c17f0bc, 0x00004006  // inv_ln2_by_128
-
-
+//
+//
 data8 0x3FA5555555554A9E // Q_2
 data8 0x3F8111124F4DD9F9 // Q_3
 data8 0x3FE0000000000000 // Q_0
@@ -580,20 +602,18 @@ data8 0x43e8000000000000 // Right shift constant for exp
 data8 0xc9e3b39803f2f6af, 0x00003fb7  // ln2_by_128_lo
 data8 0x0000000000000000 // pad to eliminate bank conflicts with pow_table_Q
 data8 0x0000000000000000 // pad to eliminate bank conflicts with pow_table_Q
-ASM_SIZE_DIRECTIVE(pow_table_P)
+LOCAL_OBJECT_END(pow_table_P)
 
-pow_table_Q:
-ASM_TYPE_DIRECTIVE(pow_table_Q,@object)
+LOCAL_OBJECT_START(pow_table_Q)
 data8 0x9249FE7F0DC423CF, 0x00003FFC  // P_4
 data8 0xCCCCCCCC4ED2BA7F, 0x00003FFC  // P_2
 data8 0xAAAAAAAAAAAAB505, 0x00003FFD  // P_0
 data8 0x3fe62e42fefa39e8, 0x3cccd5e4f1d9cc02 // log2 hi lo =  +6.93147e-001
 data8 0xb17217f7d1cf79ab, 0x00003ff7  // ln2_by_128_hi
-ASM_SIZE_DIRECTIVE(pow_table_Q)
+LOCAL_OBJECT_END(pow_table_Q)
 
 
-pow_Tt:
-ASM_TYPE_DIRECTIVE(pow_Tt,@object)
+LOCAL_OBJECT_START(pow_Tt)
 data8 0x3f60040155d58800, 0x3c93bce0ce3ddd81 // log(1/frcpa(1+0/256))=  +1.95503e-003
 data8 0x3f78121214586a00, 0x3cb540e0a5cfc9bc // log(1/frcpa(1+1/256))=  +5.87661e-003
 data8 0x3f841929f9683200, 0x3cbdf1d57404da1f // log(1/frcpa(1+2/256))=  +9.81362e-003
@@ -850,13 +870,12 @@ data8 0x3fe5f673c61a2ed0, 0x3caa385eef5f2789 // log(1/frcpa(1+252/256))=  +6.863
 data8 0x3fe6065bea385924, 0x3cb11624f165c5b4 // log(1/frcpa(1+253/256))=  +6.88276e-001
 data8 0x3fe6164bfa7cc068, 0x3cbad884f87073fa // log(1/frcpa(1+254/256))=  +6.90222e-001
 data8 0x3fe62643fecf9740, 0x3cb78c51da12f4df // log(1/frcpa(1+255/256))=  +6.92171e-001
-ASM_SIZE_DIRECTIVE(pow_Tt)
+LOCAL_OBJECT_END(pow_Tt)
 
 
 // Table 1 is 2^(index_1/128) where
 // index_1 goes from 0 to 15
-pow_tbl1:
-ASM_TYPE_DIRECTIVE(pow_tbl1,@object)
+LOCAL_OBJECT_START(pow_tbl1)
 data8 0x8000000000000000 , 0x00003FFF
 data8 0x80B1ED4FD999AB6C , 0x00003FFF
 data8 0x8164D1F3BC030773 , 0x00003FFF
@@ -873,13 +892,12 @@ data8 0x88980E8092DA8527 , 0x00003FFF
 data8 0x8955EE03618E5FDD , 0x00003FFF
 data8 0x8A14D575496EFD9A , 0x00003FFF
 data8 0x8AD4C6452C728924 , 0x00003FFF
-ASM_SIZE_DIRECTIVE(pow_tbl1)
+LOCAL_OBJECT_END(pow_tbl1)
 
 
 // Table 2 is 2^(index_1/8) where
 // index_2 goes from 0 to 7
-pow_tbl2:
-ASM_TYPE_DIRECTIVE(pow_tbl2,@object)
+LOCAL_OBJECT_START(pow_tbl2)
 data8 0x8000000000000000 , 0x00003FFF
 data8 0x8B95C1E3EA8BD6E7 , 0x00003FFF
 data8 0x9837F0518DB8A96F , 0x00003FFF
@@ -888,402 +906,319 @@ data8 0xB504F333F9DE6484 , 0x00003FFF
 data8 0xC5672A115506DADD , 0x00003FFF
 data8 0xD744FCCAD69D6AF4 , 0x00003FFF
 data8 0xEAC0C6E7DD24392F , 0x00003FFF
-ASM_SIZE_DIRECTIVE(pow_tbl2)
-
-.global pow
+LOCAL_OBJECT_END(pow_tbl2)
 
 .section .text
-.proc  pow
-.align 32
-
-pow:
+GLOBAL_LIBM_ENTRY(pow)
 
+// Get exponent of x.  Will be used to calculate K.
 { .mfi
-          alloc         r32=ar.pfs,1,35,4,0 
-          fms.s1 POW_Xm1 = f8,f1,f1   // Will be used for r1 if x>0
-          mov           pow_GR_17ones  = 0x1FFFF
+          getf.exp     pow_GR_signexp_X = f8
+          fms.s1 POW_Xm1 = f8,f1,f1     // Will be used for r1 if x>0
+          mov           pow_GR_17ones   = 0x1FFFF
 }
 { .mfi
-(p0)      addl          pow_AD_P   = @ltoff(pow_table_P), gp
-          fma.s1 POW_Xp1 = f8,f1,f1   // Will be used for r1 if x<0
+          addl          pow_AD_P        = @ltoff(pow_table_P), gp
+          fma.s1 POW_Xp1 = f8,f1,f1     // Will be used for r1 if x<0
           nop.i 999
 ;;
 }
 
-
-// Get exponent of x.  Will be used to calculate K.
+// Get significand of x.  Will be used to get index to fetch T, Tt.
 { .mfi
-          getf.exp      pow_GR_signexp_X    = f8
-          frcpa.s1      POW_B, p6   = f1,f8
+          getf.sig      pow_GR_sig_X    = f8
+          frcpa.s1      POW_B, p6       = f1,f8
           nop.i 999
 }
 { .mfi
           ld8 pow_AD_P = [pow_AD_P]
-          fma.s1        POW_NORM_X     = f8,f1,f0
-          mov           pow_GR_FFF7    = 0xFFF7
+          fma.s1        POW_NORM_X      = f8,f1,f0
+          mov          pow_GR_exp_2tom8 = 0xFFF7
 }
 ;;
 
-
-
-// Get significand of x.  Will be used to get index to fetch T, Tt.
 // p13 = TRUE ==> X is unorm
 // DOUBLE 0x10033  exponent limit at which y is an integer
-// SINGLE 0x10016
 { .mfi
-          getf.sig      pow_GR_sig_X        = f8
-          fclass.m  p13,p0          = f8, 0x0b  // Test for x unorm
-          addl pow_GR_10033                 = 0x10033, r0
+          nop.m 999
+          fclass.m  p13,p0              = f8, 0x0b  // Test for x unorm
+          addl pow_GR_10033             = 0x10033, r0
 }
 { .mfi
           mov           pow_GR_16ones   = 0xFFFF
-          fma.s1        POW_NORM_Y     = f9,f1,f0
+          fma.s1        POW_NORM_Y      = f9,f1,f0
           nop.i 999
 }
 ;;
 
-
 // p14 = TRUE ==> X is ZERO
 { .mfi
           adds          pow_AD_Tt       = pow_Tt - pow_table_P,  pow_AD_P
-          fclass.m  p14,p15          = f8, 0x07
-          and           pow_GR_exp_X        = pow_GR_signexp_X, pow_GR_17ones
+          fclass.m  p14,p0              = f8, 0x07
+          and           pow_GR_exp_X    = pow_GR_signexp_X, pow_GR_17ones
 }
 { .mfi
-          adds          pow_AD_Q       = pow_table_Q - pow_table_P,  pow_AD_P
+          adds          pow_AD_Q        = pow_table_Q - pow_table_P,  pow_AD_P
           nop.f 999
           nop.i 999
 }
 ;;
 
 { .mfi
-          ldfe          POW_P5         = [pow_AD_P], 16
-          fcmp.lt.s1 p8,p9 = f8, f0    // Test for x<0
-          shl           pow_GR_offset       = pow_GR_sig_X, 1
+          ldfe          POW_P5          = [pow_AD_P], 16
+          fcmp.lt.s1 p8,p9 = f8, f0     // Test for x<0
+          nop.i 999
 }
 { .mib
-          ldfe          POW_P4         = [pow_AD_Q], 16
-          sub       pow_GR_true_exp_X       = pow_GR_exp_X, pow_GR_16ones
-(p13)     br.cond.spnt L(POW_X_DENORM)
+          ldfe          POW_P4          = [pow_AD_Q], 16
+          sub       pow_GR_true_exp_X   = pow_GR_exp_X, pow_GR_16ones
+(p13)     br.cond.spnt POW_X_DENORM
 }
 ;;
 
-
 // Continue normal and denormal paths here
-L(POW_COMMON):
+POW_COMMON:
 // p11 = TRUE ==> Y is a NAN
 { .mfi
-          ldfe          POW_P3         = [pow_AD_P], 16
-          fclass.m.unc  p11,p0         = f9, 0xc3
-          shr.u     pow_GR_offset           = pow_GR_offset,56
+          ldfe          POW_P3          = [pow_AD_P], 16
+          fclass.m  p11,p0              = f9, 0xc3
+          nop.i 999
 }
 { .mfi
-          ldfe          POW_P2         = [pow_AD_Q], 16
+          ldfe          POW_P2          = [pow_AD_Q], 16
           nop.f 999
-          nop.i 999
+          mov pow_GR_y_zero = 0
 }
 ;;
 
-
-
-// Compute xsq to decide later if |x|=1
-// p11 = TRUE ==> Y is a NaN
+// Note POW_Xm1 and POW_r1 are used interchangably
 { .mfi
-          setf.sig POW_int_K                = pow_GR_true_exp_X
-(p15)     fms.s1        POW_r          = POW_B, POW_NORM_X,f1
-          shladd pow_AD_Tt = pow_GR_offset, 4, pow_AD_Tt
+          alloc         r32=ar.pfs,2,19,4,0
+          fms.s1        POW_r           = POW_B, POW_NORM_X,f1
+          nop.i 999
 }
 { .mfi
-          nop.m 999
-(p8)      fnma.s1        POW_Xm1       = POW_Xp1,f1,f0
+          setf.sig POW_int_K            = pow_GR_true_exp_X
+(p8)      fnma.s1        POW_Xm1        = POW_Xp1,f1,f0
           nop.i 999
 }
 ;;
 
-
-
-// p12 = TRUE ==> X is ZERO and Y is ZERO
+// p12 = TRUE if Y is ZERO
+// Compute xsq to decide later if |x|=1
 { .mfi
-          ldfe          POW_P1         = [pow_AD_P], 16
-(p14)     fclass.m.unc  p12,p0              = f9, 0x07
-          nop.i 999
+          ldfe          POW_P1          = [pow_AD_P], 16
+          fclass.m      p12,p0          = f9, 0x07
+          shl           pow_GR_offset   = pow_GR_sig_X, 1
 }
 { .mfb
-          ldfe          POW_P0         = [pow_AD_Q], 16
+          ldfe          POW_P0          = [pow_AD_Q], 16
           fma.s1        POW_xsq = POW_NORM_X, POW_NORM_X, f0
-(p11)     br.cond.spnt   L(POW_Y_NAN)
+(p11)     br.cond.spnt  POW_Y_NAN       // Branch if y=nan
 }
 ;;
 
-
-.pred.rel "mutex",p8,p9
 // Get exponent of |x|-1 to use in comparison to 2^-8
-{ .mmf
-(p8)      getf.exp      pow_GR_signexp_Xm1  = POW_Xp1
-(p9)      getf.exp      pow_GR_signexp_Xm1  = POW_Xm1
-          fcvt.fx.s1   POW_int_Y            = POW_NORM_Y
+{ .mfi
+          getf.exp  pow_GR_signexp_Xm1  = POW_Xm1
+          fcvt.fx.s1   POW_int_Y        = POW_NORM_Y
+          shr.u     pow_GR_offset       = pow_GR_offset,56
 }
 ;;
 
-
 // p11 = TRUE ==> X is a NAN
 { .mfi
           ldfpd         POW_log2_hi, POW_log2_lo  = [pow_AD_Q], 16
-          fclass.m.unc  p11,p0              = f8, 0xc3
-          nop.i 999
-}
-{ .mib
-          ldfpd  POW_T, POW_Tt              = [pow_AD_Tt], 16
-          nop.i 999
-(p12)     br.cond.spnt L(POW_X_0_Y_0)
+          fclass.m      p11,p0          = f8, 0xc3
+          shladd pow_AD_Tt = pow_GR_offset, 4, pow_AD_Tt
 }
-;;
-
-
-// p14 = TRUE ==> X is zero
-//    p15 = TRUE ==> X is zero AND Y is negative
-//    p10 = TRUE ==> X is zero AND Y is >= zero 
 { .mfi
           ldfe          POW_inv_log2_by_128 = [pow_AD_P], 16
-(p14)     fcmp.lt.unc.s1 p15, p10           = f9,f0
-          nop.i 999
+          fma.s1 POW_delta              = f0,f0,f0 // delta=0 in case |x| near 1
+(p12)     mov pow_GR_y_zero = 1
 }
-{ .mfi
-          nop.m 999
-          nop.f 999
-          and       pow_GR_exp_Xm1          = pow_GR_signexp_Xm1, pow_GR_17ones
-} 
-;;
-
-
-// Determine if we will use the |x| near 1 path (p6) or normal path (p7)
-// p12 = TRUE ==> X is a NAN and Y is a zero
-// p13 = TRUE ==> X is a NAN and Y is anything else
-{ .mfi
-          getf.exp  pow_GR_signexp_Y        = POW_NORM_Y 
-(p11)     fclass.m.unc  p12,p13             = f9, 0x07
-          cmp.lt.unc p6,p7                  = pow_GR_exp_Xm1, pow_GR_FFF7
-}
-{ .mfi
-          ldfpd  POW_Q2, POW_Q3             = [pow_AD_P], 16
-          fma.s1        POW_rsq             = POW_r, POW_r,f0
-          nop.i 999
 ;;
-}
 
-// If on the x near 1 path, assign r1 to r and r1*r1 to rsq
 { .mfi
-          ldfpd  POW_Q0_half, POW_Q1             = [pow_AD_P], 16
-(p6)      fma.s1    POW_r                 = POW_r1, f1, f0
-          nop.i 999
+          ldfpd  POW_Q2, POW_Q3         = [pow_AD_P], 16
+          fma.s1 POW_G                  = f0,f0,f0  // G=0 in case |x| near 1
+          and       pow_GR_exp_Xm1      = pow_GR_signexp_Xm1, pow_GR_17ones
 }
-{ .mfi
-          nop.m 999
-(p6)      fma.s1    POW_rsq                 = POW_r1, POW_r1, f0
-          nop.i 999
 ;;
-}
-
 
+// Determine if we will use the |x| near 1 path (p6) or normal path (p7)
 { .mfi
-          ldfpd   POW_Q4, POW_RSHF          = [pow_AD_P], 16
-(p7)      fma.s1 POW_v6                     = POW_r,  POW_P5, POW_P4
-          and pow_GR_exp_Y                   = pow_GR_signexp_Y, pow_GR_17ones
+          getf.exp  pow_GR_signexp_Y    = POW_NORM_Y
+          nop.f 999
+          cmp.lt p6,p7                  = pow_GR_exp_Xm1, pow_GR_exp_2tom8
 }
 { .mfb
-          nop.m 999
-(p6)      fma.s1 POW_v6                     = POW_r1, POW_P5, POW_P4
-(p12)     br.cond.spnt L(POW_X_NAN_Y_0)
+          ldfpd  POW_T, POW_Tt          = [pow_AD_Tt], 16
+          fma.s1        POW_rsq         = POW_r, POW_r,f0
+(p11)     br.cond.spnt  POW_X_NAN       // Branch if x=nan and y not nan
 }
 ;;
 
-
+// If on the x near 1 path, assign r1 to r and r1*r1 to rsq
 { .mfi
-          nop.m 999
-(p7)      fma.s1 POW_v4                     = POW_P3, POW_r,  POW_P2 
-          andcm pow_GR_sign_Y               = pow_GR_signexp_Y, pow_GR_17ones
+          ldfpd  POW_Q0_half, POW_Q1    = [pow_AD_P], 16
+(p6)      fma.s1    POW_r               = POW_r1, f1, f0
+          nop.i 999
 }
 { .mfb
           nop.m 999
-(p6)      fma.s1 POW_v4                     = POW_P3, POW_r1, POW_P2 
-(p12)     br.cond.spnt L(POW_X_NAN_Y_0)
+(p6)      fma.s1    POW_rsq             = POW_r1, POW_r1, f0
+(p14)     br.cond.spnt POW_X_0          // Branch if x zero and y not nan
 }
 ;;
 
 { .mfi
-          nop.m 999
-          fcvt.xf POW_K                     = POW_int_K
+          ldfpd   POW_Q4, POW_RSHF      = [pow_AD_P], 16
+(p7)      fma.s1 POW_v6                 = POW_r,  POW_P5, POW_P4
           nop.i 999
 }
-{ .mfb
-          nop.m 999
-(p13)     fma.d f8                           = f8,f1,f0
-(p13)     br.ret.spnt  b0    // Exit if x nan, y anything but zero
+{ .mfi
+          mov pow_GR_exp_2toM63         = 0xffc0  // Exponent of 2^-63
+(p6)      fma.s1 POW_v6                 = POW_r1, POW_P5, POW_P4
+          nop.i 999
 }
 ;;
-          
-// p10 = TRUE ==> X is zero  AND Y is positive
-//  p8  = TRUE ==> X is zero  AND Y is outside integer range (treat as even int)
-//                   return +0
-//  p9  = TRUE ==> X is zero  AND Y is within integer range (may not be integer) 
+
 { .mfi
-(p10)     cmp.gt.unc p8,p9                  =  pow_GR_exp_Y, pow_GR_10033
-(p6)      fmerge.s POW_delta                 = f0,f0
+          setf.exp POW_2toM63 = pow_GR_exp_2toM63  // Form 2^-63 for test of q
+(p7)      fma.s1 POW_v4                 = POW_P3, POW_r,  POW_P2
           nop.i 999
 }
 { .mfi
           nop.m 999
-(p6)      fma.s1 POW_G                       = f0,f0,f0
+(p6)      fma.s1 POW_v4                 = POW_P3, POW_r1, POW_P2
           nop.i 999
 }
 ;;
 
 { .mfi
-          getf.sig pow_GR_sig_int_Y         = POW_int_Y
-          fnma.s1 POW_twoV                   = POW_NORM_Y, POW_rsq,f0
-          nop.i 999
-}
-{ .mfi
           nop.m 999
-          fma.s1 POW_U                      = POW_NORM_Y,POW_r,f0
+          fcvt.xf POW_K                 = POW_int_K
           nop.i 999
 }
 ;;
 
 { .mfi
-          ldfe      POW_log2_by_128_lo      = [pow_AD_P], 16
-(p6)      fma.s1 POW_v2                     = POW_P1, POW_r1, POW_P0 
-          nop.i 999
+          getf.sig pow_GR_sig_int_Y     = POW_int_Y
+          fnma.s1 POW_twoV              = POW_NORM_Y, POW_rsq,f0
+          and pow_GR_exp_Y              = pow_GR_signexp_Y, pow_GR_17ones
 }
-{ .mfi
-          ldfe          POW_log2_by_128_hi  = [pow_AD_Q], 16
-(p7)      fma.s1 POW_v2                     = POW_P1, POW_r,  POW_P0 
-          nop.i 999
+{ .mfb
+          andcm pow_GR_sign_Y           = pow_GR_signexp_Y, pow_GR_17ones
+          fma.s1 POW_U                  = POW_NORM_Y,POW_r,f0
+(p12)     br.cond.spnt POW_Y_0   // Branch if y=zero, x not zero or nan
 }
 ;;
 
-
+// p11 = TRUE ==> X is NEGATIVE but not inf
 { .mfi
-          nop.m 999
-          fcvt.xf   POW_float_int_Y               = POW_int_Y
+          ldfe      POW_log2_by_128_lo  = [pow_AD_P], 16
+          fclass.m  p11,p0              = f8, 0x1a
           nop.i 999
 }
 { .mfi
-          nop.m 999
-          fma.s1 POW_v3                     = POW_v6, POW_rsq,  POW_v4 
-          adds          pow_AD_tbl1       = pow_tbl1 - pow_Tt,  pow_AD_Q
+          ldfe      POW_log2_by_128_hi  = [pow_AD_Q], 16
+          fma.s1 POW_v2                 = POW_P1, POW_r,  POW_P0
+          nop.i 999
 }
 ;;
 
 { .mfi
           nop.m 999
-(p7)      fma.s1 POW_delta                  = POW_K, POW_log2_lo, POW_Tt
+          fcvt.xf   POW_float_int_Y     = POW_int_Y
           nop.i 999
 }
 { .mfi
           nop.m 999
-(p7)      fma.s1 POW_G                      = POW_K, POW_log2_hi, POW_T 
-          adds pow_AD_tbl2                  = pow_tbl2 - pow_tbl1,  pow_AD_tbl1
+          fma.s1 POW_v3                 = POW_v6, POW_rsq,  POW_v4
+          adds          pow_AD_tbl1     = pow_tbl1 - pow_Tt,  pow_AD_Q
 }
 ;;
 
-
 { .mfi
           nop.m 999
-          fms.s1 POW_e2                     = POW_NORM_Y, POW_r, POW_U
+(p7)      fma.s1 POW_delta              = POW_K, POW_log2_lo, POW_Tt
           nop.i 999
 }
 { .mfi
           nop.m 999
-          fma.s1 POW_Z2                     = POW_twoV, POW_Q0_half, POW_U
-          nop.i 999
+(p7)      fma.s1 POW_G                  = POW_K, POW_log2_hi, POW_T
+          adds pow_AD_tbl2              = pow_tbl2 - pow_tbl1,  pow_AD_tbl1
 }
 ;;
 
-// p11 = TRUE ==> X is NEGATIVE 
-// p8  = TRUE ==> X is zero  AND Y is outside intger range (treat as even int)
-//                return +0
 { .mfi
           nop.m 999
-          fclass.m.unc  p11,p0              = f8, 0x1a
+          fms.s1 POW_e2                 = POW_NORM_Y, POW_r, POW_U
           nop.i 999
 }
-{ .mfb
+{ .mfi
           nop.m 999
-(p8)      fma.d f8                          = f0,f0,f0
-(p8)      br.ret.spnt b0
+          fma.s1 POW_Z2                 = POW_twoV, POW_Q0_half, POW_U
+          nop.i 999
 }
 ;;
 
-{ .mfi 
+{ .mfi
           nop.m 999
-          fma.s1 POW_Yrcub                 = POW_rsq, POW_U, f0
+          fma.s1 POW_Yrcub              = POW_rsq, POW_U, f0
           nop.i 999
 }
-{ .mfi 
+{ .mfi
           nop.m 999
-          fma.s1 POW_p                      = POW_rsq, POW_v3, POW_v2
+          fma.s1 POW_p                  = POW_rsq, POW_v3, POW_v2
           nop.i 999
 }
 ;;
 
-
-// p11 = TRUE ==> X is NEGATIVE
-//    p12 = TRUE ==> X is NEGATIVE  AND  Y  already int
+// p11 = TRUE ==> X is NEGATIVE but not inf
+//    p12 = TRUE ==> X is NEGATIVE  AND  Y  already even int
 //    p13 = TRUE ==> X is NEGATIVE  AND  Y possible int
 { .mfi
           nop.m 999
-          fma.s1 POW_Z1                     = POW_NORM_Y, POW_G, f0
-(p11)     cmp.ge.unc  p12,p13                = pow_GR_exp_Y, pow_GR_10033
+          fma.s1 POW_Z1                 = POW_NORM_Y, POW_G, f0
+(p11)     cmp.gt.unc  p12,p13           = pow_GR_exp_Y, pow_GR_10033
 }
 { .mfi
           nop.m 999
-          fma.s1 POW_e3                     = POW_NORM_Y, POW_delta, f0
+          fma.s1 POW_Gpr                = POW_G, f1, POW_r
           nop.i 999
 }
 ;;
 
-// p9  = TRUE ==> X is zero  AND Y is within integer range (may not be integer)
-//    p6 = TRUE ==>  X is zero  AND  Y is an integer (may be even or odd)
-//    p7 = TRUE ==>  X is zero  AND  Y is NOT an integer, return +0
+// By adding RSHF (1.1000...*2^63) we put integer part in rightmost significand
 { .mfi
           nop.m 999
-(p9)      fcmp.eq.unc.s1 p6,p7             = POW_float_int_Y,  POW_NORM_Y
+          fma.s1 POW_W2  = POW_Z2, POW_inv_log2_by_128, POW_RSHF
           nop.i 999
 }
-{ .mfi 
+{ .mfi
           nop.m 999
-          fma.s1 POW_Gpr                    = POW_G, f1, POW_r
+          fms.s1 POW_UmZ2               = POW_U, f1, POW_Z2
           nop.i 999
 }
 ;;
 
-// By adding RSHF (1.1000...*2^63) we put integer part in rightmost significand
 { .mfi
           nop.m 999
-          fma.s1 POW_W2  = POW_Z2, POW_inv_log2_by_128, POW_RSHF
-          nop.i 999
-}
-{ .mfi
-          nop.m 999
-          fms.s1 POW_UmZ2                   = POW_U, f1, POW_Z2
+          fma.s1 POW_e3                 = POW_NORM_Y, POW_delta, f0
           nop.i 999
 }
 ;;
 
-
-// If x=0 and y>0, test y and flag denormal
-// p6  = TRUE ==>  X is zero  AND  Y is an integer (may be even or odd)
-//    p8 = TRUE ==>  X is zero  AND  Y is an odd  integer
-//    p9 = TRUE ==>  X is zero  AND  Y is an even integer
 { .mfi
           nop.m 999
-(p10)     fcmp.eq.s0 p15,p0 = f9,f0
-(p6)      tbit.nz.unc  p8,p9                = pow_GR_sig_int_Y,0
+          fma.s1 POW_Z3                 = POW_p, POW_Yrcub, f0
+          nop.i 999
 }
 { .mfi
           nop.m 999
-          fma.s1 POW_Z3                      = POW_p, POW_Yrcub, f0
+          fma.s1 POW_GY_Z2              = POW_G, POW_NORM_Y, POW_Z2
           nop.i 999
 }
 ;;
@@ -1291,7 +1226,7 @@ L(POW_COMMON):
 // By adding RSHF (1.1000...*2^63) we put integer part in rightmost significand
 { .mfi
           nop.m 999
-          fms.s1 POW_e1                     = POW_NORM_Y, POW_G, POW_Z1
+          fms.s1 POW_e1                 = POW_NORM_Y, POW_G, POW_Z1
           nop.i 999
 }
 { .mfi
@@ -1301,81 +1236,60 @@ L(POW_COMMON):
 }
 ;;
 
+// p13 = TRUE ==> X is NEGATIVE  AND  Y possible int
+//     p10 = TRUE ==> X is NEG and Y is an int
+//     p12 = TRUE ==> X is NEG and Y is not an int
 { .mfi
           nop.m 999
-(p7)      fma.d f8  = f0,f0,f0  // Result +0 if x zero and y not integer
-          nop.i 999
+(p13)     fcmp.eq.unc.s1 p10,p12        = POW_float_int_Y,  POW_NORM_Y
+          mov pow_GR_xneg_yodd = 0
 }
-{ .mfb
+{ .mfi
           nop.m 999
-          fma.s1 POW_Y_Gpr                  = POW_NORM_Y, POW_Gpr, f0
-(p8)      br.ret.spnt b0        // Exit if x zero and y odd integer
+          fma.s1 POW_Y_Gpr              = POW_NORM_Y, POW_Gpr, f0
+          nop.i 999
 }
 ;;
 
 // By subtracting RSHF we get rounded integer POW_N2float
-// p15 = TRUE ==> X_0_Y_NEG
 { .mfi
           nop.m 999
           fms.s1 POW_N2float  = POW_W2, f1, POW_RSHF
           nop.i 999
 }
-{ .mfb
+{ .mfi
           nop.m 999
-          fma.s1 POW_UmZ2pV                 = POW_twoV,POW_Q0_half,POW_UmZ2
-(p15)     br.cond.spnt L(POW_X_0_Y_NEG)
+          fma.s1 POW_UmZ2pV             = POW_twoV,POW_Q0_half,POW_UmZ2
+          nop.i 999
 }
 ;;
 
-
-
 { .mfi
           nop.m 999
-          fma.s1 POW_Z3sq                   = POW_Z3, POW_Z3, f0
+          fma.s1 POW_Z3sq               = POW_Z3, POW_Z3, f0
           nop.i 999
 }
-{ .mfb
+{ .mfi
           nop.m 999
-          fma.s1 POW_v4                     = POW_Z3, POW_Q3, POW_Q2
-(p7)      br.ret.spnt b0     // Exit if x zero and y not an integer
+          fma.s1 POW_v4                 = POW_Z3, POW_Q3, POW_Q2
+          nop.i 999
 }
 ;;
 
-
-
 // Extract rounded integer from rightmost significand of POW_W2
 // By subtracting RSHF we get rounded integer POW_N1float
 { .mfi
-          getf.sig pow_GR_int_W2             = POW_W2
+          getf.sig pow_GR_int_W2        = POW_W2
           fms.s1 POW_N1float  = POW_W1, f1, POW_RSHF
           nop.i 999
 }
 { .mfi
           nop.m 999
-          fma.s1 POW_v2                     = POW_Z3, POW_Q1, POW_Q0_half
+          fma.s1 POW_v2                 = POW_Z3, POW_Q1, POW_Q0_half
           nop.i 999
 }
 ;;
 
-
-
-
-// p13 = TRUE ==> X is NEGATIVE  AND  Y possible int
-//     p10 = TRUE ==> X is NEG and Y is an int
-//     p12 = TRUE ==> X is NEG and Y is not an int
-{ .mfi
-          nop.m 999
-(p13)     fcmp.eq.unc.s1 p10,p12             = POW_float_int_Y,  POW_NORM_Y
-          nop.i 999
-}
-{ .mfb
-          nop.m 999
-(p9)      fma.d f8  = f0,f0,f0   // Result +0 if x zero and y even integer
-(p9)      br.ret.spnt b0    // Exit if x zero and y even integer
-}
-;;
-
-
 { .mfi
           nop.m 999
           fnma.s1 POW_s2 = POW_N2float, POW_log2_by_128_hi, POW_Z2
@@ -1383,7 +1297,7 @@ L(POW_COMMON):
 }
 { .mfi
           nop.m 999
-          fma.s1 POW_e2                     = POW_e2,f1,POW_UmZ2pV
+          fma.s1 POW_e2                 = POW_e2,f1,POW_UmZ2pV
           nop.i 999
 }
 ;;
@@ -1391,278 +1305,283 @@ L(POW_COMMON):
 // Extract rounded integer from rightmost significand of POW_W1
 // Test if x inf
 { .mfi
-          getf.sig pow_GR_int_W1             = POW_W1
-          fclass.m.unc p15,p0 = POW_NORM_X,  0x23
+          getf.sig pow_GR_int_W1        = POW_W1
+          fclass.m p15,p0 = POW_NORM_X,  0x23
           nop.i 999
 }
 { .mfb
           nop.m 999
           fnma.s1 POW_f2  = POW_N2float, POW_log2_by_128_lo, f1
-(p12)     br.cond.spnt L(POW_X_NEG_Y_NONINT)  // Branch if x neg, y not integer
+(p12)     br.cond.spnt POW_X_NEG_Y_NONINT  // Branch if x neg, y not integer
 }
 ;;
 
+// p11 = TRUE ==> X is +1.0
 // p12 = TRUE ==> X is NEGATIVE  AND Y is an odd integer
 { .mfi
-          getf.exp pow_GR_signexp_Y_Gpr       = POW_Y_Gpr
-          fma.s1 POW_v3                     = POW_Z3sq, POW_Q4, POW_v4
-(p10)     tbit.nz.unc  p12,p0                = pow_GR_sig_int_Y,0
+          getf.exp pow_GR_signexp_Y_Gpr = POW_Y_Gpr
+          fcmp.eq.s1 p11,p0 = POW_NORM_X, f1
+(p10)     tbit.nz.unc  p12,p0           = pow_GR_sig_int_Y,0
+}
+{ .mfi
+          nop.m 999
+          fma.s1 POW_v3                 = POW_Z3sq, POW_Q4, POW_v4
+          nop.i 999
 }
 ;;
 
-
 { .mfi
-          add pow_GR_int_N                   = pow_GR_int_W1, pow_GR_int_W2
+          nop.m 999
           fnma.s1 POW_f1  = POW_N1float, POW_log2_by_128_lo, f1
           nop.i 999
 }
 { .mfb
           nop.m 999
           fnma.s1 POW_s1  = POW_N1float, POW_log2_by_128_hi, POW_Z1
-(p15)     br.cond.spnt L(POW_X_INF)
+(p15)     br.cond.spnt POW_X_INF
 }
 ;;
 
-
 // Test x and y and flag denormal
 { .mfi
-          and pow_GR_index1                  = 0x0f, pow_GR_int_N
+          nop.m 999
           fcmp.eq.s0 p15,p0 = f8,f9
-          shr r2                             = pow_GR_int_N, 7
+          nop.i 999
 }
 { .mfi
-          and pow_GR_exp_Y_Gpr               = pow_GR_signexp_Y_Gpr, pow_GR_17ones
-          nop.f 999
-          and pow_GR_index2                  = 0x70, pow_GR_int_N
+          nop.m 999
+          fma.s1 POW_pYrcub_e3          = POW_p, POW_Yrcub, POW_e3
+          nop.i 999
 }
 ;;
 
-
-
 { .mfi
-          shladd pow_AD_T1                   = pow_GR_index1, 4, pow_AD_tbl1
+          nop.m 999
           fcmp.eq.s1 p7,p0 = POW_NORM_Y, f1  // Test for y=1.0
-          sub pow_GR_true_exp_Y_Gpr          = pow_GR_exp_Y_Gpr, pow_GR_16ones
+          nop.i 999
 }
 { .mfi
-          addl pow_int_GR_M                  = 0xFFFF, r2
-          fma.s1  POW_e12                     = POW_e1,f1,POW_e2
-          add pow_AD_T2                      = pow_AD_tbl2, pow_GR_index2
+          nop.m 999
+          fma.s1  POW_e12               = POW_e1,f1,POW_e2
+          nop.i 999
 }
 ;;
 
-
-{ .mmi
-          ldfe POW_T1                        = [pow_AD_T1],16
-          setf.exp POW_2M                    = pow_int_GR_M
-          andcm pow_GR_sign_Y_Gpr            = pow_GR_signexp_Y_Gpr, pow_GR_17ones
+{ .mfi
+          add pow_GR_int_N              = pow_GR_int_W1, pow_GR_int_W2
+(p11)     fma.d.s0 f8 = f1,f1,f0    // If x=1, result is +1
+          nop.i 999
+}
+{ .mib
+(p12)     mov pow_GR_xneg_yodd = 1
+          nop.i 999
+(p11)     br.ret.spnt b0            // Early exit if x=1.0, result is +1
 }
 ;;
 
-
-{ .mfb
-          ldfe POW_T2                        = [pow_AD_T2],16
-          fma.s1 POW_q                       = POW_Z3sq, POW_v3, POW_v2
+{ .mfi
+          and pow_GR_index1             = 0x0f, pow_GR_int_N
+          fma.s1 POW_q                  = POW_Z3sq, POW_v3, POW_v2
+          shr pow_int_GR_M              = pow_GR_int_N, 7    // M = N/128
+}
+{ .mib
+          and pow_GR_index2             = 0x70, pow_GR_int_N
+          cmp.eq p6, p0                 = pow_GR_xneg_yodd, r0
 (p7)      br.ret.spnt b0        // Early exit if y=1.0, result is x
 }
 ;;
 
-
-// double: p8 TRUE ==> |Y(G + r)| >= 10
-// single: p8 TRUE ==> |Y(G + r)| >= 7
-
-// double
-//     -2^10  -2^9             2^9   2^10
-// -----+-----+----+ ... +-----+-----+-----
-//  p8  |             p9             |  p8
-//      |     |       p10      |     |  
-// single
-//     -2^7   -2^6             2^6   2^7
-// -----+-----+----+ ... +-----+-----+-----
-//  p8  |             p9             |  p8
-//      |     |       p10      |     |
-
-
 { .mfi
-(p0)      cmp.le.unc p8,p9                   = 10, pow_GR_true_exp_Y_Gpr
-          fma.s1 POW_s                       = POW_s1, f1, POW_s2
-          nop.i 999
+          shladd pow_AD_T1              = pow_GR_index1, 4, pow_AD_tbl1
+          fma.s1 POW_s                  = POW_s1, f1, POW_s2
+          add pow_int_GR_M              = pow_GR_16ones, pow_int_GR_M
 }
 { .mfi
-          nop.m 999
-          fma.s1 POW_f12                     = POW_f1, POW_f2,f0
-          nop.i 999
+          add pow_AD_T2                 = pow_AD_tbl2, pow_GR_index2
+          fma.s1 POW_f12                = POW_f1, POW_f2,f0
+          and pow_GR_exp_Y_Gpr          = pow_GR_signexp_Y_Gpr, pow_GR_17ones
 }
 ;;
 
-
-{ .mfi
-          nop.f 999
-(p9)      cmp.le.unc p0,p10                  = 9, pow_GR_true_exp_Y_Gpr
+{ .mmi
+          ldfe POW_T1                   = [pow_AD_T1]
+          ldfe POW_T2                   = [pow_AD_T2]
+          sub pow_GR_true_exp_Y_Gpr     = pow_GR_exp_Y_Gpr, pow_GR_16ones
 }
 ;;
 
-
-
+{ .mfi
+          setf.exp POW_2M               = pow_int_GR_M
+          fma.s1 POW_e123               = POW_e12, f1, POW_e3
+          nop.i 999
+}
 { .mfb
-          nop.m 999
-          fma.s1 POW_e123                    = POW_e12, f1, POW_e3
-(p8)      br.cond.spnt L(POW_OVER_UNDER_X_NOT_INF)
+(p6)      cmp.gt p6, p0                 = -11, pow_GR_true_exp_Y_Gpr
+          fma.s1 POW_d                  = POW_GY_Z2, f1, POW_pYrcub_e3
+(p6)      br.cond.spnt POW_NEAR_ONE // branch if |y*log(x)| < 2^(-11)
 }
 ;;
 
-
-{ .mmf
-          fma.s1 POW_q                       = POW_Z3sq, POW_q, POW_Z3
+{ .mfi
+          nop.m 999
+          fma.s1 POW_q                  = POW_Z3sq, POW_q, POW_Z3
+          nop.i 999
 }
 ;;
 
+// p8 TRUE ==> |Y(G + r)| >= 10
 
+// double
+//     -2^10  -2^9             2^9   2^10
+// -----+-----+----+ ... +-----+-----+-----
+//  p8  |             p9             |  p8
+//      |     |       p10      |     |
+
+// Form signexp of constants to indicate overflow
 { .mfi
-          nop.m 999 
-          fma.s1 POW_ssq                     = POW_s, POW_s, f0
-          nop.i 999
+          mov         pow_GR_big_pos    = 0x103ff
+          fma.s1 POW_ssq                = POW_s, POW_s, f0
+          cmp.le p8,p9                  = 10, pow_GR_true_exp_Y_Gpr
 }
 { .mfi
-          nop.m 999 
-          fma.s1 POW_v4                      = POW_s, POW_Q3, POW_Q2
-          nop.i 999
+          mov         pow_GR_big_neg    = 0x303ff
+          fma.s1 POW_v4                 = POW_s, POW_Q3, POW_Q2
+          andcm pow_GR_sign_Y_Gpr       = pow_GR_signexp_Y_Gpr, pow_GR_17ones
 }
 ;;
 
+// Form big positive and negative constants to test for possible overflow
 { .mfi
-          nop.m 999
-          fma.s1 POW_v2                      = POW_s, POW_Q1, POW_Q0_half
-          nop.i 999
+          setf.exp POW_big_pos          = pow_GR_big_pos
+          fma.s1 POW_v2                 = POW_s, POW_Q1, POW_Q0_half
+(p9)      cmp.le.unc p0,p10             = 9, pow_GR_true_exp_Y_Gpr
 }
-{ .mfi
-          nop.m 999
-          fma.s1 POW_1ps                     = f1,f1,POW_s
-          nop.i 999
+{ .mfb
+          setf.exp POW_big_neg          = pow_GR_big_neg
+          fma.s1 POW_1ps                = f1,f1,POW_s
+(p8)      br.cond.spnt POW_OVER_UNDER_X_NOT_INF
 }
 ;;
 
+// f123 = f12*(e123+1) = f12*e123+f12
 { .mfi
           nop.m 999
-          fma.s1 POW_f3                      = POW_e123,f1,f1
+          fma.s1 POW_f123               = POW_e123,POW_f12,POW_f12
           nop.i 999
 }
 ;;
 
 { .mfi
           nop.m 999
-          fma.s1 POW_T1T2                    = POW_T1, POW_T2, f0
+          fma.s1 POW_T1T2               = POW_T1, POW_T2, f0
           nop.i 999
 }
-;;
-
 { .mfi
           nop.m 999
-          fma.s1 POW_v3                     = POW_ssq, POW_Q4, POW_v4
-          nop.i 999
+          fma.s1 POW_v3                 = POW_ssq, POW_Q4, POW_v4
+          cmp.ne p12,p13 = pow_GR_xneg_yodd, r0
 }
 ;;
 
 { .mfi
           nop.m 999
-          fma.s1 POW_v21ps                  = POW_ssq, POW_v2, POW_1ps
+          fma.s1 POW_v21ps              = POW_ssq, POW_v2, POW_1ps
           nop.i 999
 }
 { .mfi
           nop.m 999
-          fma.s1 POW_s4                     = POW_ssq, POW_ssq, f0
+          fma.s1 POW_s4                 = POW_ssq, POW_ssq, f0
           nop.i 999
 }
 ;;
 
 { .mfi
           nop.m 999
-          fma.s1 POW_f123                    = POW_f12, POW_f3, f0
+(p12)     fnma.s1 POW_A                 =  POW_2M, POW_f123, f0
           nop.i 999
 }
+{ .mfi
+          nop.m 999
+(p13)     fma.s1 POW_A                  =  POW_2M, POW_f123, f0
+          cmp.eq p14,p11 = r0,r0   // Initialize p14 on, p11 off
+}
 ;;
 
 { .mfi
           nop.m 999
-          fma.s1 POW_A                      =  POW_2M, POW_T1T2, f0
+          fmerge.s POW_abs_q = f0, POW_q // Form |q| so can test its size
           nop.i 999
 }
 ;;
 
-
-
 { .mfi
-          nop.m 999
-(p12)     fmerge.s POW_f123 = f8,POW_f123  // if x neg, y odd int
+(p10)     cmp.eq p0,p14 = r0,r0    // Turn off p14 if no overflow
+          fma.s1 POW_es                 = POW_s4,  POW_v3, POW_v21ps
           nop.i 999
 }
 { .mfi
           nop.m 999
-//          fma.s1 POW_es                     = POW_ssq,  POW_v3, POW_v2
+          fma.s1 POW_A                  = POW_A, POW_T1T2, f0
           nop.i 999
 }
 ;;
 
 { .mfi
+// Test for |q| < 2^-63.  If so then reverse last two steps of the result
+// to avoid monotonicity problems for results near 1.0 in round up/down/zero.
+// p11 will be set if need to reverse the order, p14 if not.
           nop.m 999
-          fma.s1 POW_es                     = POW_s4,  POW_v3, POW_v21ps
+(p10)     fcmp.lt.s0 p11,p14 = POW_abs_q, POW_2toM63 // Test |q| <2^-63
           nop.i 999
 }
 ;;
 
-
+.pred.rel "mutex",p11,p14
 { .mfi
           nop.m 999
-          fma.s1 POW_A                      = POW_A, POW_f123, f0
+(p14)     fma.s1 POW_A                  = POW_A, POW_es, f0
           nop.i 999
 }
 { .mfi
           nop.m 999
-//          fma.s1 POW_es                     = POW_es, POW_ssq, POW_1ps
+(p11)     fma.s1 POW_A                  = POW_A, POW_q, POW_A
           nop.i 999
 }
 ;;
 
-
+// Dummy op to set inexact if |q| < 2^-63
 { .mfi
           nop.m 999
-          fma.s1 POW_A                      = POW_A, POW_es,f0
+(p11)     fma.d.s0 POW_tmp              = POW_A, POW_q, POW_A
           nop.i 999
 }
 ;;
 
-
-
+{ .mfi
+          nop.m 999
+(p14)     fma.d.s0 f8                   = POW_A, POW_q, POW_A
+          nop.i 999
+}
 { .mfb
           nop.m 999
-(p10)     fma.d f8                          = POW_A, POW_q, POW_A
-(p10)     br.ret.sptk     b0
+(p11)     fma.d.s0 f8                   = POW_A, POW_es, f0
+(p10)     br.ret.sptk     b0            // Exit main branch if no over/underflow
 }
 ;;
 
-
-
-
-
 // POSSIBLE_OVER_UNDER
-// p6 = TRUE ==> Y negative
+// p6 = TRUE ==> Y_Gpr negative
+// Result is already computed.  We just need to know if over/underflow occurred.
 
-{ .mfi
-        nop.m 999
-        fmerge.s POW_abs_A                = f0, POW_A
-        cmp.eq.unc p0,p6                  = pow_GR_sign_Y, r0
-}
-;;
-
-{ .mib
-        nop.m 999
-        nop.i 999
-(p6)    br.cond.spnt L(POW_POSSIBLE_UNDER) 
+{ .mfb
+        cmp.eq p0,p6                    = pow_GR_sign_Y_Gpr, r0
+        nop.f 999
+(p6)    br.cond.spnt POW_POSSIBLE_UNDER
 }
 ;;
 
 // POSSIBLE_OVER
-// We got an answer. 
+// We got an answer.
 // overflow is a possibility, not a certainty
 
 
@@ -1692,21 +1611,20 @@ L(POW_COMMON):
 //                  RN         RN
 //                             RZ
 
-
 // Put in s2 (td set, wre set)
 { .mfi
-        mov           pow_GR_gt_ln                 = 0x103ff 
+        nop.m 999
         fsetc.s2 0x7F,0x42
-        nop.i 999 
+        nop.i 999
 }
 ;;
 
-
 { .mfi
-        setf.exp POW_gt_pln                        = pow_GR_gt_ln
-        fma.d.s2 POW_wre_urm_f8                    = POW_abs_A, POW_q, POW_abs_A
-        nop.i 999 ;;
+        nop.m 999
+        fma.d.s2 POW_wre_urm_f8         = POW_A, POW_q, POW_A
+        nop.i 999
 }
+;;
 
 // Return s2 to default
 { .mfi
@@ -1716,31 +1634,67 @@ L(POW_COMMON):
 }
 ;;
 
-
 // p7 = TRUE ==> yes, we have an overflow
 { .mfi
         nop.m 999
-        fcmp.ge.unc.s1 p7, p0                    =  POW_wre_urm_f8, POW_gt_pln
+        fcmp.ge.s1 p7, p8               =  POW_wre_urm_f8, POW_big_pos
         nop.i 999
 }
 ;;
 
+{ .mfi
+        nop.m 999
+(p8)    fcmp.le.s1 p7, p0               =  POW_wre_urm_f8, POW_big_neg
+        nop.i 999
+}
+;;
 
+{ .mbb
+(p7)   mov pow_GR_tag                   = 24
+(p7)   br.cond.spnt __libm_error_region // Branch if overflow
+       br.ret.sptk     b0               // Exit if did not overflow
+}
+;;
 
-{ .mfb
-(p7)   mov pow_GR_tag                            = 24
-       fma.d f8                                  = POW_A, POW_q, POW_A
-(p7)   br.cond.spnt __libm_error_region 
+// Here if |y*log(x)| < 2^(-11)
+// pow(x,y) ~ exp(d) ~ 1 + d + 0.5*d^2 + Q1*d^3 + Q2*d^4, where d = y*log(x)
+.align 32
+POW_NEAR_ONE:
+
+{ .mfi
+          nop.m 999
+          fma.s1 POW_d2                 = POW_d, POW_d, f0
+          nop.i 999
 }
-{ .mfb
-       nop.m 999
-       nop.f 999
-(p0)   br.ret.sptk     b0 
+;;
+
+{ .mfi
+          nop.m 999
+          fma.s1 POW_poly_d_hi          = POW_d, POW_Q0_half, f1
+          nop.i 999
+}
+{ .mfi
+          nop.m 999
+          fma.s1 POW_poly_d_lo          = POW_d, POW_Q2, POW_Q1
+          nop.i 999
 }
 ;;
 
+{ .mfi
+          nop.m 999
+          fma.s1 POW_poly_d             = POW_d2, POW_poly_d_lo, POW_poly_d_hi
+          nop.i 999
+}
+;;
+
+{ .mfb
+          nop.m 999
+          fma.d.s0 f8                   = POW_d, POW_poly_d, f1
+          br.ret.sptk b0 // exit function for arguments |y*log(x)| < 2^(-11)
+}
+;;
 
-L(POW_POSSIBLE_UNDER):
+POW_POSSIBLE_UNDER:
 // We got an answer. input was < -2^9 but > -2^10 (double)
 // We got an answer. input was < -2^6 but > -2^7  (float)
 // underflow is a possibility, not a certainty
@@ -1763,124 +1717,250 @@ L(POW_POSSIBLE_UNDER):
 //   0.1...11 2^-3ffe                                   (biased, 1)
 //    largest dn                               smallest normal
 
-
 // Put in s2 (td set, ftz set)
 { .mfi
         nop.m 999
         fsetc.s2 0x7F,0x41
-        nop.i 999 
+        nop.i 999
 }
 ;;
 
-
-
 { .mfi
         nop.m 999
-        fma.d.s2 POW_ftz_urm_f8                    = POW_A, POW_q, POW_A
+        fma.d.s2 POW_ftz_urm_f8         = POW_A, POW_q, POW_A
         nop.i 999
 }
 ;;
 
-
 // Return s2 to default
 { .mfi
         nop.m 999
         fsetc.s2 0x7F,0x40
-        nop.i 999 
+        nop.i 999
 }
 ;;
 
-
 // p7 = TRUE ==> yes, we have an underflow
 { .mfi
         nop.m 999
-        fcmp.eq.unc.s1 p7, p0                     =  POW_ftz_urm_f8, f0
-        nop.i 999 
+        fcmp.eq.s1 p7, p0               =  POW_ftz_urm_f8, f0
+        nop.i 999
 }
 ;;
 
+{ .mbb
+(p7)    mov pow_GR_tag                  = 25
+(p7)    br.cond.spnt __libm_error_region // Branch if underflow
+        br.ret.sptk     b0               // Exit if did not underflow
+}
+;;
+
+POW_X_DENORM:
+// Here if x unorm. Use the NORM_X for getf instructions, and then back
+// to normal path
+{ .mfi
+        getf.exp      pow_GR_signexp_X  = POW_NORM_X
+        nop.f 999
+        nop.i 999
+}
+;;
 
+{ .mmi
+        getf.sig      pow_GR_sig_X      = POW_NORM_X
+;;
+        and           pow_GR_exp_X      = pow_GR_signexp_X, pow_GR_17ones
+        nop.i 999
+}
+;;
+
+{ .mib
+        sub       pow_GR_true_exp_X     = pow_GR_exp_X, pow_GR_16ones
+        nop.i 999
+        br.cond.sptk    POW_COMMON
+}
+;;
 
+POW_X_0:
+// Here if x=0 and y not nan
+//
+// We have the following cases:
+//  p6  x=0  and  y>0 and is an integer (may be even or odd)
+//  p7  x=0  and  y>0 and is NOT an integer, return +0
+//  p8  x=0  and  y>0 and so big as to always be an even integer, return +0
+//  p9  x=0  and  y>0 and may not be integer
+//  p10 x=0  and  y>0 and is an odd  integer, return x
+//  p11 x=0  and  y>0 and is an even integer, return +0
+//  p12 used in dummy fcmp to set denormal flag if y=unorm
+//  p13 x=0  and  y>0
+//  p14 x=0  and  y=0, branch to code for calling error handling
+//  p15 x=0  and  y<0, branch to code for calling error handling
+//
+{ .mfi
+        getf.sig pow_GR_sig_int_Y = POW_int_Y // Get signif of int_Y
+        fcmp.lt.s1 p15,p13 = f9, f0           // Test for y<0
+        and pow_GR_exp_Y = pow_GR_signexp_Y, pow_GR_17ones
+}
+{ .mfb
+        cmp.ne p14,p0 = pow_GR_y_zero,r0      // Test for y=0
+        fcvt.xf   POW_float_int_Y = POW_int_Y
+(p14)   br.cond.spnt POW_X_0_Y_0              // Branch if x=0 and y=0
+}
+;;
 
+// If x=0 and y>0, test y and flag denormal
 { .mfb
-(p7)    mov pow_GR_tag                           = 25
-        fma.d f8                                 = POW_A, POW_q, POW_A
-(p7)    br.cond.spnt __libm_error_region 
+(p13)   cmp.gt.unc p8,p9 = pow_GR_exp_Y, pow_GR_10033 // Test y +big = even int
+(p13)   fcmp.eq.s0 p12,p0 = f9,f0    // If x=0, y>0 dummy op to flag denormal
+(p15)   br.cond.spnt POW_X_0_Y_NEG // Branch if x=0 and y<0
 }
 ;;
 
+// Here if x=0 and y>0
+{ .mfi
+        nop.m 999
+(p9)    fcmp.eq.unc.s1 p6,p7 = POW_float_int_Y,  POW_NORM_Y // Test y=int
+        nop.i 999
+}
+{ .mfi
+        nop.m 999
+(p8)    fma.d.s0 f8 = f0,f0,f0 // If x=0, y>0 and large even int, return +0
+        nop.i 999
+}
+;;
 
+{ .mfi
+        nop.m 999
+(p7)    fma.d.s0 f8  = f0,f0,f0   // Result +0 if x=0 and y>0 and not integer
+(p6)    tbit.nz.unc p10,p11 = pow_GR_sig_int_Y,0 // If y>0 int, test y even/odd
+}
+;;
+
+// Note if x=0, y>0 and odd integer, just return x
 { .mfb
         nop.m 999
-        nop.f 999
-        br.ret.sptk     b0 
+(p11)   fma.d.s0 f8  = f0,f0,f0   // Result +0 if x=0 and y even integer
+        br.ret.sptk b0            // Exit if x=0 and y>0
 }
 ;;
 
+POW_X_0_Y_0:
+// When X is +-0 and Y is +-0, IEEE returns 1.0
+// We call error support with this value
 
-L(POW_X_DENORM):
-// Here if x unorm. Use the NORM_X for getf instructions, and the back
-// to normal path
-{ .mfi
-        getf.exp      pow_GR_signexp_X    = POW_NORM_X
-        nop.f 999
-        nop.i 999
+{ .mfb
+        mov pow_GR_tag                  = 26
+        fma.d.s0 f8                     = f1,f1,f0
+        br.cond.sptk __libm_error_region
 }
 ;;
 
+POW_X_0_Y_NEG:
+// When X is +-0 and Y is negative, IEEE returns
+// X     Y           answer
+// +0    -odd int    +inf
+// -0    -odd int    -inf
+
+// +0    !-odd int   +inf
+// -0    !-odd int   +inf
+
+// p6 == Y is a floating point number outside the integer.
+//       Hence it is an integer and is even.
+//       return +inf
+
+// p7 == Y is a floating point number within the integer range.
+//      p9  == (int_Y = NORM_Y), Y is an integer, which may be odd or even.
+//           p11 odd
+//              return (sign_of_x)inf
+//           p12 even
+//              return +inf
+//      p10 == Y is not an integer
+//         return +inf
+//
+
 { .mfi
-        getf.sig      pow_GR_sig_X        = POW_NORM_X
-        nop.f 999
-        nop.i 999
+          nop.m 999
+          nop.f 999
+          cmp.gt  p6,p7                 = pow_GR_exp_Y, pow_GR_10033
 }
 ;;
 
 { .mfi
-        and           pow_GR_exp_X        = pow_GR_signexp_X, pow_GR_17ones
-        nop.f 999
+          mov pow_GR_tag                = 27
+(p7)      fcmp.eq.unc.s1 p9,p10         = POW_float_int_Y,  POW_NORM_Y
+          nop.i 999
 }
 ;;
 
-{ .mib
-        sub       pow_GR_true_exp_X       = pow_GR_exp_X, pow_GR_16ones
-        shl           pow_GR_offset       = pow_GR_sig_X, 1
-        br.cond.sptk    L(POW_COMMON)
+{ .mfb
+          nop.m 999
+(p6)      frcpa.s0 f8,p13               = f1, f0
+(p6)      br.cond.sptk __libm_error_region   // x=0, y<0, y large neg int
+}
+;;
+
+{ .mfb
+          nop.m 999
+(p10)     frcpa.s0 f8,p13               = f1, f0
+(p10)     br.cond.sptk __libm_error_region   // x=0, y<0, y not int
 }
 ;;
 
+// x=0, y<0, y an int
+{ .mib
+          nop.m 999
+(p9)      tbit.nz.unc p11,p12           = pow_GR_sig_int_Y,0
+          nop.b 999
+}
+;;
 
-L(POW_X_0_Y_0):
-// When X is +-0 and Y is +-0, IEEE returns 1.0 
-// We call error support with this value 
+{ .mfi
+          nop.m 999
+(p12)     frcpa.s0 f8,p13               = f1,f0
+          nop.i 999
+}
+;;
 
 { .mfb
-         mov pow_GR_tag                     = 26
-         fma.d f8                           = f1,f1,f0
-         br.cond.sptk __libm_error_region
+          nop.m 999
+(p11)     frcpa.s0 f8,p13               = f1,f8
+          br.cond.sptk __libm_error_region
 }
 ;;
 
 
+POW_Y_0:
+// Here for y zero, x anything but zero and nan
+// Set flag if x denormal
+// Result is +1.0
+{ .mfi
+        nop.m 999
+        fcmp.eq.s0 p6,p0 = f8,f0    // Sets flag if x denormal
+        nop.i 999
+}
+{ .mfb
+        nop.m 999
+        fma.d.s0 f8 = f1,f1,f0
+        br.ret.sptk b0
+}
+;;
 
 
-L(POW_X_INF):
-// When X is +-inf and Y is +-, IEEE returns 
+POW_X_INF:
+// Here when X is +-inf
 
-// overflow                       
-// X +inf  Y +inf             +inf  
-// X -inf  Y +inf             +inf 
+// X +inf  Y +inf             +inf
+// X -inf  Y +inf             +inf
 
-// X +inf  Y >0               +inf    
+// X +inf  Y >0               +inf
 // X -inf  Y >0, !odd integer +inf     <== (-inf)^0.5 = +inf !!
-// X -inf  Y >0,  odd integer  -inf   
+// X -inf  Y >0,  odd integer -inf
 
-// underflow                     
-// X +inf  Y -inf             +0   
-// X -inf  Y -inf             +0  
+// X +inf  Y -inf             +0
+// X -inf  Y -inf             +0
 
-// X +inf  Y <0               +0      
-// X -inf  Y <0, !odd integer +0     
-// X -inf  Y <0, odd integer  -0    
+// X +inf  Y <0               +0
+// X -inf  Y <0, !odd integer +0
+// X -inf  Y <0, odd integer  -0
 
 // X + inf Y=+0                +1
 // X + inf Y=-0                +1
@@ -1892,32 +1972,30 @@ L(POW_X_INF):
 
 // p6 == Y is a floating point number outside the integer.
 //       Hence it is an integer and is even.
-//       p13 == (Y negative) 
+//       p13 == (Y negative)
 //          return +inf
 //       p14 == (Y positive)
 //          return +0
 
-
-
 // p7 == Y is a floating point number within the integer range.
 //      p9  == (int_Y = NORM_Y), Y is an integer, which may be odd or even.
 //           p11 odd
-//              p13 == (Y negative)    
+//              p13 == (Y negative)
 //                 return (sign_of_x)inf
-//              p14 == (Y positive) 
+//              p14 == (Y positive)
 //                 return (sign_of_x)0
-//           pxx even                
-//              p13 == (Y negative) 
-//                 return +inf     
+//           pxx even
+//              p13 == (Y negative)
+//                 return +inf
 //              p14 == (Y positive)
-//                 return +0     
+//                 return +0
 
 //      pxx == Y is not an integer
-//           p13 == (Y negative) 
+//           p13 == (Y negative)
 //                 return +inf
 //           p14 == (Y positive)
 //                 return +0
-// 
+//
 
 // If x=inf, test y and flag denormal
 { .mfi
@@ -1929,207 +2007,131 @@ L(POW_X_INF):
 
 { .mfi
           nop.m 999
-          fcmp.lt p13,p14                    = POW_NORM_Y,f0 
-          cmp.gt.unc  p6,p7                  = pow_GR_exp_Y, pow_GR_10033
+          fcmp.lt.s0 p13,p14            = POW_NORM_Y,f0
+          cmp.gt  p6,p7                 = pow_GR_exp_Y, pow_GR_10033
 }
 { .mfi
           nop.m 999
-          fclass.m p12,p0                    = f9, 0x23
+          fclass.m p12,p0               = f9, 0x23 //@inf
           nop.i 999
 }
 ;;
 
-
 { .mfi
           nop.m 999
-          fclass.m p15,p0                    = f9, 0x07	//@zero
+          fclass.m p15,p0               = f9, 0x07 //@zero
           nop.i 999
 }
 ;;
 
 { .mfb
           nop.m 999
-(p15)     fmerge.s f8 = f1,f1
-(p15)     br.ret.spnt b0
+(p15)     fmerge.s f8 = f1,f1      // Return +1.0 if x=inf, y=0
+(p15)     br.ret.spnt b0           // Exit if x=inf, y=0
 }
 ;;
 
-        
 { .mfi
-(p13)     mov pow_GR_tag                     = 25
-(p14)     frcpa.s1 f8,p10                       = f1,f0
+          nop.m 999
+(p14)     frcpa.s1 f8,p10 = f1,f0  // If x=inf, y>0, assume result +inf
           nop.i 999
 }
 { .mfb
-(p14)     mov pow_GR_tag                     = 24
-(p13)     fma.s1 f8                          = f0,f0,f0
-(p12)     br.ret.spnt b0
-}
-;;
-
-   
-
-{ .mfb
           nop.m 999
-(p7)      fcmp.eq.unc.s1 p9,p0              = POW_float_int_Y,  POW_NORM_Y
-          nop.b 999
+(p13)     fma.d.s0 f8 = f0,f0,f0   // If x=inf, y<0, assume result +0.0
+(p12)     br.ret.spnt b0           // Exit if x=inf, y=inf
 }
 ;;
 
+// Here if x=inf, and 0 < |y| < inf.  Need to correct results if y odd integer.
 { .mfi
           nop.m 999
-          nop.f 999
-(p9)      tbit.nz.unc p11,p0                 = pow_GR_sig_int_Y,0
-}
-;;
-
-{ .mfb
-          nop.m 999
-(p11)     fmerge.s f8 = POW_NORM_X,f8
-          br.ret.sptk b0 
+(p7)      fcmp.eq.unc.s1 p9,p0 = POW_float_int_Y,  POW_NORM_Y // Is y integer?
+          nop.i 999
 }
 ;;
 
-
-
-L(POW_X_0_Y_NEG):
-// When X is +-0 and Y is negative, IEEE returns 
-// X     Y           answer
-// +0    -odd int    +inf
-// -0    -odd int    -inf
-
-// +0    !-odd int   +inf
-// -0    !-odd int   +inf
-
-
-// p6 == Y is a floating point number outside the integer.
-//       Hence it is an integer and is even.
-//       return +inf
-
-// p7 == Y is a floating point number within the integer range.
-//      p9  == (int_Y = NORM_Y), Y is an integer, which may be odd or even.
-//           p11 odd
-//              return (sign_of_x)inf
-//           p12 even
-//              return +inf
-//      p10 == Y is not an integer
-//         return +inf
-// 
-// 
-
 { .mfi
           nop.m 999
           nop.f 999
-          cmp.gt.unc  p6,p7                  = pow_GR_exp_Y, pow_GR_10033
-}
-;;
-
-
-{ .mfi
-          mov pow_GR_tag                     = 27
-(p7)      fcmp.eq.unc.s1 p9,p10              = POW_float_int_Y,  POW_NORM_Y
-          nop.i 999
-}
-;;
-
-
-{ .mfb
-          nop.m 999
-(p6)      frcpa.s0 f8,p13                       = f1, f0
-(p6)      br.cond.sptk __libm_error_region
+(p9)      tbit.nz.unc p11,p0 = pow_GR_sig_int_Y,0  // Test for y odd integer
 }
 ;;
 
 { .mfb
           nop.m 999
-(p10)     frcpa.s0 f8,p13                       = f1, f0
-(p10)     br.cond.sptk __libm_error_region
+(p11)     fmerge.s f8 = POW_NORM_X,f8    // If y odd integer use sign of x
+          br.ret.sptk b0                 // Exit for x=inf, 0 < |y| < inf
 }
 ;;
 
 
+POW_X_NEG_Y_NONINT:
+// When X is negative and Y is a non-integer, IEEE
+// returns a qnan indefinite.
+// We call error support with this value
 
-{ .mib
-          nop.m 999
-(p9)      tbit.nz.unc p11,p12                = pow_GR_sig_int_Y,0
-          nop.b 999
+{ .mfb
+         mov pow_GR_tag                 = 28
+         frcpa.s0 f8,p6                 = f0,f0
+         br.cond.sptk __libm_error_region
 }
 ;;
 
-
-
+POW_X_NAN:
+// Here if x=nan, y not nan
 { .mfi
-          nop.m 999
-(p12)     frcpa.s0 f8,p13                      = f1,f0
-          nop.i 999
+         nop.m 999
+         fclass.m  p9,p13 = f9, 0x07 // Test y=zero
+         nop.i 999
 }
 ;;
 
 { .mfb
-          nop.m 999
-(p11)     frcpa f8,p13                      = f1,f8 
-          br.cond.sptk __libm_error_region
+         nop.m 999
+(p13)    fma.d.s0 f8 = f8,f1,f0
+(p13)    br.ret.sptk  b0            // Exit if x nan, y anything but zero or nan
 }
 ;;
 
-
-
-
-L(POW_X_NEG_Y_NONINT):
-// When X is negative and Y is a non-integer, IEEE
-// returns a qnan indefinite.
-// We call error support with this value 
-
-{ .mfb
-         mov pow_GR_tag                     = 28
-         frcpa f8,p6                        = f0,f0
-         br.cond.sptk __libm_error_region
-}
-;;
-
-
-
-
-L(POW_X_NAN_Y_0):
+POW_X_NAN_Y_0:
 // When X is a NAN and Y is zero, IEEE returns 1.
 // We call error support with this value.
-
 { .mfi
-         nop.m 0
-         fma.d.s0 f10 = f8,f1,f0 
-         nop.i 0
+         nop.m 999
+         fcmp.eq.s0 p6,p0 = f8,f0       // Dummy op to set invalid on snan
+         nop.i 999
 }
 { .mfb
-         mov pow_GR_tag                     = 29
-         fma.d.s0 f8 = f0,f0,f1 
+         mov pow_GR_tag                 = 29
+         fma.d.s0 f8 = f0,f0,f1
          br.cond.sptk __libm_error_region
 }
 ;;
 
 
-L(POW_OVER_UNDER_X_NOT_INF):
+POW_OVER_UNDER_X_NOT_INF:
 
 // p8 is TRUE for overflow
 // p9 is TRUE for underflow
 
 // if y is infinity, we should not over/underflow
 
-
 { .mfi
           nop.m 999
-          fcmp.eq.unc.s1     p14, p13        = POW_xsq,f1
-          cmp.eq.unc p8,p9                   = pow_GR_sign_Y_Gpr, r0
+          fcmp.eq.s1     p14, p13       = POW_xsq,f1  // Test |x|=1
+          cmp.eq p8,p9                  = pow_GR_sign_Y_Gpr, r0
 }
 ;;
 
 { .mfi
           nop.m 999
-(p14)     fclass.m.unc       p15, p0         = f9, 0x23
+(p14)     fclass.m.unc       p15, p0    = f9, 0x23 // If |x|=1, test y=inf
           nop.i 999
 }
 { .mfi
           nop.m 999
-(p13)     fclass.m.unc       p11,p0         = f9, 0x23
+(p13)     fclass.m.unc       p11,p0     = f9, 0x23 // If |x| not 1, test y=inf
           nop.i 999
 }
 ;;
@@ -2137,31 +2139,33 @@ L(POW_OVER_UNDER_X_NOT_INF):
 // p15 = TRUE if |x|=1, y=inf, return +1
 { .mfb
           nop.m 999
-(p15)     fma.d              f8              = f1,f1,f0
-(p15)     br.ret.spnt b0
+(p15)     fma.d.s0          f8          = f1,f1,f0 // If |x|=1, y=inf, result +1
+(p15)     br.ret.spnt b0                // Exit if |x|=1, y=inf
 }
 ;;
 
 .pred.rel "mutex",p8,p9
 {  .mfb
-(p8)      setf.exp           f8              = pow_GR_17ones
-(p9)      fmerge.s           f8              = f0,f0
-(p11)     br.ret.sptk b0
+(p8)      setf.exp           f8 = pow_GR_17ones // If exp(+big), result inf
+(p9)      fmerge.s           f8 = f0,f0         // If exp(-big), result 0
+(p11)     br.ret.sptk b0                // Exit if |x| not 1, y=inf
 }
+;;
 
 { .mfb
           nop.m 999
           nop.f 999
-          br.cond.sptk L(POW_OVER_UNDER_ERROR)
+          br.cond.sptk POW_OVER_UNDER_ERROR // Branch if y not inf
 }
 ;;
 
-L(POW_Y_NAN):
 
-// Is x = +1 then result is +1, else result is quiet Y
+POW_Y_NAN:
+// Here if y=nan, x anything
+// If x = +1 then result is +1, else result is quiet Y
 { .mfi
        nop.m 999
-       fcmp.eq.s1         p10,p9               = POW_NORM_X, f1 
+       fcmp.eq.s1         p10,p9        = POW_NORM_X, f1
        nop.i 999
 }
 ;;
@@ -2175,148 +2179,117 @@ L(POW_Y_NAN):
 
 { .mfi
        nop.m 999
-(p10)  fma.d f8 = f1,f1,f0 
+(p10)  fma.d.s0 f8 = f1,f1,f0
        nop.i 999
 }
 { .mfb
        nop.m 999
-(p9)   fma.d f8 = f9,f8,f0 
-       br.ret.sptk b0
+(p9)   fma.d.s0 f8 = f9,f8,f0
+       br.ret.sptk b0             // Exit y=nan
 }
 ;;
 
 
-L(POW_OVER_UNDER_ERROR):
+POW_OVER_UNDER_ERROR:
+// Here if we have overflow or underflow.
+// Enter with p12 true if x negative and y odd int to force -0 or -inf
 
 { .mfi
-          nop.m 999
-          fmerge.s f10                      = POW_NORM_X,POW_NORM_X
-          nop.i 999
-}
-{ .mfi
-          sub   pow_GR_17ones_m1            = pow_GR_17ones, r0, 1
-          nop.f 999
-          mov pow_GR_one                    = 0x1
+         sub   pow_GR_17ones_m1         = pow_GR_17ones, r0, 1
+         nop.f 999
+         mov pow_GR_one                 = 0x1
 }
 ;;
 
-// overflow
+// overflow, force inf with O flag
 { .mmb
-(p8)     mov pow_GR_tag                     = 24
-(p8)     setf.exp f11                       = pow_GR_17ones_m1
+(p8)     mov pow_GR_tag                 = 24
+(p8)     setf.exp POW_tmp               = pow_GR_17ones_m1
          nop.b 999
 }
 ;;
 
-        
-// underflow
+// underflow, force zero with I, U flags
 { .mmi
-(p9)    mov pow_GR_tag                     = 25
-(p9)    setf.exp f11                       = pow_GR_one
+(p9)    mov pow_GR_tag                  = 25
+(p9)    setf.exp POW_tmp                = pow_GR_one
         nop.i 999
 }
 ;;
 
-
-// p12 x is negative and y is an odd integer 
-
-
 { .mfi
         nop.m 999
-        fma.d f8                               = f11, f11, f0
+        fma.d.s0 f8                     = POW_tmp, POW_tmp, f0
         nop.i 999
 }
 ;;
 
+// p12 x is negative and y is an odd integer, change sign of result
 { .mfi
         nop.m 999
-(p12)   fmerge.ns f8                           = f8, f8
+(p12)   fnma.d.s0 f8                    = POW_tmp, POW_tmp, f0
         nop.i 999
 }
 ;;
 
+GLOBAL_LIBM_END(pow)
 
-.endp pow
-ASM_SIZE_DIRECTIVE(pow)
-
-
-// Stack operations when calling error support.
-//       (1)               (2)                          (3) (call)              (4)
-//   sp   -> +          psp -> +                     psp -> +                   sp -> +
-//           |                 |                            |                         |
-//           |                 | <- GR_Y               R3 ->| <- GR_RESULT            | -> f8
-//           |                 |                            |                         |
-//           | <-GR_Y      Y2->|                       Y2 ->| <- GR_Y                 |
-//           |                 |                            |                         |
-//           |                 | <- GR_X               X1 ->|                         |
-//           |                 |                            |                         |
-//  sp-64 -> +          sp ->  +                     sp ->  +                         +
-//    save ar.pfs          save b0                                               restore gp
-//    save gp                                                                    restore ar.pfs
-
-
+LOCAL_LIBM_ENTRY(__libm_error_region)
 
-.proc __libm_error_region
-__libm_error_region:
-
-// Answer is inf for overflow and 0 for underflow.
 .prologue
-// (1)
 { .mfi
-        add   GR_Parameter_Y=-32,sp             // Parameter 2 value
+        add   GR_Parameter_Y=-32,sp     // Parameter 2 value
         nop.f 0
 .save   ar.pfs,GR_SAVE_PFS
-        mov  GR_SAVE_PFS=ar.pfs                 // Save ar.pfs
+        mov  GR_SAVE_PFS=ar.pfs         // Save ar.pfs
 }
 { .mfi
 .fframe 64
-        add sp=-64,sp                          // Create new stack
+        add sp=-64,sp                   // Create new stack
         nop.f 0
-        mov GR_SAVE_GP=gp                      // Save gp
+        mov GR_SAVE_GP=gp               // Save gp
 };;
 
-
-// (2)
 { .mmi
         stfd [GR_Parameter_Y] = POW_NORM_Y,16 // STORE Parameter 2 on stack
-        add GR_Parameter_X = 16,sp            // Parameter 1 address
+        add GR_Parameter_X = 16,sp      // Parameter 1 address
 .save   b0, GR_SAVE_B0
-        mov GR_SAVE_B0=b0                     // Save b0
+        mov GR_SAVE_B0=b0               // Save b0
 };;
 
 .body
-// (3)
 { .mib
-        stfd [GR_Parameter_X] = POW_NORM_X              // STORE Parameter 1 on stack
+        stfd [GR_Parameter_X] = POW_NORM_X // STORE Parameter 1 on stack
         add   GR_Parameter_RESULT = 0,GR_Parameter_Y    // Parameter 3 address
-        nop.b 0                                
+        nop.b 0
 }
 { .mib
-        stfd [GR_Parameter_Y] = f8                      // STORE Parameter 3 on stack
+        stfd [GR_Parameter_Y] = f8      // STORE Parameter 3 on stack
         add   GR_Parameter_Y = -16,GR_Parameter_Y
-        br.call.sptk b0=__libm_error_support#           // Call error handling function
+        br.call.sptk b0=__libm_error_support# // Call error handling function
 };;
+
 { .mmi
-        nop.m 0
-        nop.m 0
         add   GR_Parameter_RESULT = 48,sp
+        nop.m 0
+        nop.i 0
 };;
 
-// (4)
 { .mmi
-        ldfd  f8 = [GR_Parameter_RESULT]       // Get return result off stack
+        ldfd  f8 = [GR_Parameter_RESULT] // Get return result off stack
 .restore sp
-        add   sp = 64,sp                       // Restore stack pointer
-        mov   b0 = GR_SAVE_B0                  // Restore return address
+        add   sp = 64,sp                 // Restore stack pointer
+        mov   b0 = GR_SAVE_B0            // Restore return address
 };;
+
 { .mib
-        mov   gp = GR_SAVE_GP                  // Restore gp
-        mov   ar.pfs = GR_SAVE_PFS             // Restore ar.pfs
-        br.ret.sptk     b0                     // Return
+        mov   gp = GR_SAVE_GP            // Restore gp
+        mov   ar.pfs = GR_SAVE_PFS       // Restore ar.pfs
+        br.ret.sptk     b0               // Return
 };;
 
-.endp __libm_error_region
-ASM_SIZE_DIRECTIVE(__libm_error_region)
+LOCAL_LIBM_END(__libm_error_region)
 
 .type   __libm_error_support#,@function
 .global __libm_error_support#
+
diff --git a/sysdeps/ia64/fpu/e_powf.S b/sysdeps/ia64/fpu/e_powf.S
index d464058262..275843f1e2 100644
--- a/sysdeps/ia64/fpu/e_powf.S
+++ b/sysdeps/ia64/fpu/e_powf.S
@@ -1,10 +1,10 @@
 .file "powf.s"
 
-// Copyright (C) 2000, 2001, Intel Corporation
+
+// Copyright (c) 2000 - 2003, Intel Corporation
 // All rights reserved.
 //
-// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story,
-// and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation.
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
 //
 // Redistribution and use in source and binary forms, with or without
 // modification, are permitted provided that the following conditions are
@@ -20,7 +20,7 @@
 // * The name of Intel Corporation may not be used to endorse or promote
 // products derived from this software without specific prior written
 // permission.
-//
+
 // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
 // "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
@@ -35,30 +35,39 @@
 //
 // Intel Corporation is the author of this code, and requests that all
 // problem reports or change requests be submitted to it directly at
-// http://developer.intel.com/opensource.
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
 //
 // History
 //==============================================================
-// 2/02/00  Initial version
-// 2/03/00  Added p12 to definite over/under path. With odd power we did not
+// 02/02/00 Initial version
+// 02/03/00 Added p12 to definite over/under path. With odd power we did not
 //          maintain the sign of x in this path.
-// 4/04/00  Unwind support added
-// 4/19/00  pow(+-1,inf) now returns NaN
-//          pow(+-val, +-inf) returns 0 or inf, but now does not call error support
+// 04/04/00 Unwind support added
+// 04/19/00 pow(+-1,inf) now returns NaN
+//          pow(+-val, +-inf) returns 0 or inf, but now does not call error
+//          support
 //          Added s1 to fcvt.fx because invalid flag was incorrectly set.
-// 8/15/00  Bundle added after call to __libm_error_support to properly
+// 08/15/00 Bundle added after call to __libm_error_support to properly
 //          set [the previously overwritten] GR_Parameter_RESULT.
-// 9/07/00  Improved performance by eliminating bank conflicts and other stalls,
+// 09/07/00 Improved performance by eliminating bank conflicts and other stalls,
 //          and tweaking the critical path
-// 9/08/00  Per c99, pow(+-1,inf) now returns 1, and pow(+1,nan) returns 1
-// 9/28/00  Updated NaN**0 path 
-// 1/20/01  Fixed denormal flag settings.
-// 2/12/01  Improved speed.
+// 09/08/00 Per c99, pow(+-1,inf) now returns 1, and pow(+1,nan) returns 1
+// 09/28/00 Updated NaN**0 path
+// 01/20/01 Fixed denormal flag settings.
+// 02/13/01 Improved speed.
+// 03/19/01 Reordered exp polynomial to improve speed and eliminate monotonicity
+//          problem in round up, down, and to zero modes.  Also corrected
+//          overflow result when x negative, y odd in round up, down, zero.
+// 06/14/01 Added brace missing from bundle
+// 12/10/01 Corrected case where x negative, 2^23 <= |y| < 2^24, y odd integer.
+// 02/08/02 Fixed overflow/underflow cases that were not calling error support.
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 08/29/02 Improved Itanium 2 performance
+// 02/10/03 Reordered header: .section, .global, .proc, .align
 //
 // API
 //==============================================================
-// double pow(double)
-// float  powf(float)
+// float powf(float x, float y)
 //
 // Overview of operation
 //==============================================================
@@ -67,51 +76,51 @@
 // 1. Log(x)
 // 2. y Log(x)
 // 3. exp(y log(x))
-// 
+//
 // This means we work with the absolute value of x and merge in the sign later.
 //      Log(x) = G + delta + r -rsq/2 + p
 // G,delta depend on the exponent of x and table entries. The table entries are
 // indexed by the exponent of x, called K.
-// 
+//
 // The G and delta come out of the reduction; r is the reduced x.
-// 
+//
 // B = frcpa(x)
 // xB-1 is small means that B is the approximate inverse of x.
-// 
+//
 //      Log(x) = Log( (1/B)(Bx) )
 //             = Log(1/B) + Log(Bx)
 //             = Log(1/B) + Log( 1 + (Bx-1))
-// 
+//
 //      x  = 2^K 1.x_1x_2.....x_52
-//      B= frcpa(x) = 2^-k Cm 
+//      B= frcpa(x) = 2^-k Cm
 //      Log(1/B) = Log(1/(2^-K Cm))
 //      Log(1/B) = Log((2^K/ Cm))
 //      Log(1/B) = K Log(2) + Log(1/Cm)
-// 
+//
 //      Log(x)   = K Log(2) + Log(1/Cm) + Log( 1 + (Bx-1))
-// 
+//
 // If you take the significand of x, set the exponent to true 0, then Cm is
 // the frcpa. We tabulate the Log(1/Cm) values. There are 256 of them.
 // The frcpa table is indexed by 8 bits, the x_1 thru x_8.
 // m = x_1x_2...x_8 is an 8-bit index.
-// 
+//
 //      Log(1/Cm) = log(1/frcpa(1+m/256)) where m goes from 0 to 255.
-// 
+//
 // We tabluate as two doubles, T and t, where T +t is the value itself.
-// 
+//
 //      Log(x)   = (K Log(2)_hi + T) + (Log(2)_hi + t) + Log( 1 + (Bx-1))
 //      Log(x)   =  G + delta           + Log( 1 + (Bx-1))
-// 
+//
 // The Log( 1 + (Bx-1)) can be calculated as a series in r = Bx-1.
-// 
+//
 //      Log( 1 + (Bx-1)) = r - rsq/2 + p
-// 
+//
 // Then,
-//    
+//
 //      yLog(x) = yG + y delta + y(r-rsq/2) + yp
 //      yLog(x) = Z1 + e3      + Z2         + Z3 + (e2 + e3)
-// 
-// 
+//
+//
 //     exp(yLog(x)) = exp(Z1 + Z2 + Z3) exp(e1 + e2 + e3)
 //
 //
@@ -133,7 +142,7 @@
 //       exp(r)       = exp(Z - N log2/128)
 //
 //      r = s + d = (Z - N (log2/128)_hi) -N (log2/128)_lo
-//                =  Z - N (log2/128) 
+//                =  Z - N (log2/128)
 //
 //      Z         = s+d +N (log2/128)
 //
@@ -149,22 +158,22 @@
 //      n log2/128 = n_7n_6n_5 log2/8 + n_4n_3n_2n_1 log2/128
 //      n log2/128 = I2 log2/8 + I1 log2/128
 //
-//      N log2/128 = M log2 + I2 log2/8 + I1 log2/128 
+//      N log2/128 = M log2 + I2 log2/8 + I1 log2/128
 //
 //      exp(Z)    = exp(s) (1+d) exp(log(2^M) + log(2^I2/8) + log(2^I1/128))
 //      exp(Z)    = exp(s) (1+d1) (1+d2)(2^M) 2^I2/8 2^I1/128
 //      exp(Z)    = exp(s) f1 f2 (2^M) 2^I2/8 2^I1/128
 //
 // I1, I2 are table indices. Use a series for exp(s).
-// Then get exp(Z) 
+// Then get exp(Z)
 //
 //     exp(yLog(x)) = exp(Z1 + Z2 + Z3) exp(e1 + e2 + e3)
-//     exp(yLog(x)) = exp(Z) exp(Z3) f3 
-//     exp(yLog(x)) = exp(Z)f3 exp(Z3)  
-//     exp(yLog(x)) = A exp(Z3)  
+//     exp(yLog(x)) = exp(Z) exp(Z3) f3
+//     exp(yLog(x)) = exp(Z)f3 exp(Z3)
+//     exp(yLog(x)) = A exp(Z3)
 //
 // We actually calculate exp(Z3) -1.
-// Then, 
+// Then,
 //     exp(yLog(x)) = A + A( exp(Z3)   -1)
 //
 
@@ -175,142 +184,146 @@
 // ==============
 // The operation (K*log2_hi) must be exact. K is the true exponent of x.
 // If we allow gradual underflow (denormals), K can be represented in 12 bits
-// (as a two's complement number). We assume 13 bits as an engineering precaution.
-// 
+// (as a two's complement number). We assume 13 bits as an engineering
+// precaution.
+//
 //           +------------+----------------+-+
 //           |  13 bits   | 50 bits        | |
 //           +------------+----------------+-+
 //           0            1                66
 //                        2                34
-// 
+//
 // So we want the lsb(log2_hi) to be 2^-50
 // We get log2 as a quad-extended (15-bit exponent, 128-bit significand)
-// 
+//
 //      0 fffe b17217f7d1cf79ab c9e3b39803f2f6af (4...)
-// 
+//
 // Consider numbering the bits left to right, starting at 0 thru 127.
 // Bit 0 is the 2^-1 bit; bit 49 is the 2^-50 bit.
-// 
+//
 //  ...79ab
 //     0111 1001 1010 1011
 //     44
 //     89
-// 
-// So if we shift off the rightmost 14 bits, then (shift back only 
+//
+// So if we shift off the rightmost 14 bits, then (shift back only
 // the top half) we get
-// 
+//
 //      0 fffe b17217f7d1cf4000 e6af278ece600fcb dabc000000000000
-// 
+//
 // Put the right 64-bit signficand in an FR register, convert to double;
 // it is exact. Put the next 128 bits into a quad register and round to double.
 // The true exponent of the low part is -51.
-// 
+//
 // hi is 0 fffe b17217f7d1cf4000
 // lo is 0 ffcc e6af278ece601000
-// 
+//
 // Convert to double memory format and get
-// 
+//
 // hi is 0x3fe62e42fefa39e8
-// lo is 0x3cccd5e4f1d9cc02 
-// 
+// lo is 0x3cccd5e4f1d9cc02
+//
 // log2_hi + log2_lo is an accurate value for log2.
-// 
-// 
+//
+//
 // The T and t values
 // ==================
 // A similar method is used to generate the T and t values.
-// 
+//
 // K * log2_hi + T  must be exact.
-// 
+//
 // Smallest T,t
 // ----------
-// The smallest T,t is 
+// The smallest T,t is
 //       T                   t
-// data8 0x3f60040155d58800, 0x3c93bce0ce3ddd81  log(1/frcpa(1+0/256))=  +1.95503e-003
-// 
+// 0x3f60040155d58800, 0x3c93bce0ce3ddd81  log(1/frcpa(1+0/256))=  +1.95503e-003
+//
 // The exponent is 0x3f6 (biased)  or -9 (true).
 // For the smallest T value, what we want is to clip the significand such that
-// when it is shifted right by 9, its lsb is in the bit for 2^-51. The 9 is the specific 
-// for the first entry. In general, it is 0xffff - (biased 15-bit exponent).
+// when it is shifted right by 9, its lsb is in the bit for 2^-51. The 9 is the
+// specific for the first entry. In general, it is 0xffff - (biased 15-bit
+// exponent).
 
-// Independently, what we have calculated is the table value as a quad precision number.
+// Independently, what we have calculated is the table value as a quad
+// precision number.
 // Table entry 1 is
 // 0 fff6 80200aaeac44ef38 338f77605fdf8000
-// 
+//
 // We store this quad precision number in a data structure that is
-//    sign:           1 
+//    sign:           1
 //    exponent:      15
 //    signficand_hi: 64 (includes explicit bit)
 //    signficand_lo: 49
 // Because the explicit bit is included, the significand is 113 bits.
-// 
+//
 // Consider significand_hi for table entry 1.
-// 
-// 
+//
+//
 // +-+--- ... -------+--------------------+
 // | |
 // +-+--- ... -------+--------------------+
 // 0 1               4444444455555555556666
 //                   2345678901234567890123
-// 
+//
 // Labeled as above, bit 0 is 2^0, bit 1 is 2^-1, etc.
 // Bit 42 is 2^-42. If we shift to the right by 9, the bit in
 // bit 42 goes in 51.
-// 
+//
 // So what we want to do is shift bits 43 thru 63 into significand_lo.
-// This is shifting bit 42 into bit 63, taking care to retain the shifted-off bits.
-// Then shifting (just with signficaand_hi) back into bit 42. 
-//  
-// The shift_value is 63-42 = 21. In general, this is 
+// This is shifting bit 42 into bit 63, taking care to retain shifted-off bits.
+// Then shifting (just with signficaand_hi) back into bit 42.
+//
+// The shift_value is 63-42 = 21. In general, this is
 //      63 - (51 -(0xffff - 0xfff6))
 // For this example, it is
 //      63 - (51 - 9) = 63 - 42  = 21
-// 
-// This means we are shifting 21 bits into significand_lo.  We must maintain more
-// that a 128-bit signficand not to lose bits. So before the shift we put the 128-bit 
-// significand into a 256-bit signficand and then shift.
+//
+// This means we are shifting 21 bits into significand_lo. We must maintain more
+// that a 128-bit signficand not to lose bits. So before the shift we put the
+// 128-bit significand into a 256-bit signficand and then shift.
 // The 256-bit significand has four parts: hh, hl, lh, and ll.
-// 
+//
 // Start off with
 //      hh         hl         lh         ll
 //      <64>       <49><15_0> <64_0>     <64_0>
-// 
+//
 // After shift by 21 (then return for significand_hi),
 //      <43><21_0> <21><43>   <6><58_0>  <64_0>
-// 
+//
 // Take the hh part and convert to a double. There is no rounding here.
-// The conversion is exact. The true exponent of the high part is the same as the
-// true exponent of the input quad.
-// 
-// We have some 64 plus significand bits for the low part. In this example, we have
-// 70 bits. We want to round this to a double. Put them in a quad and then do a quad fnorm.
-// For this example the true exponent of the low part is 
+// The conversion is exact. The true exponent of the high part is the same as
+// the true exponent of the input quad.
+//
+// We have some 64 plus significand bits for the low part. In this example, we
+// have 70 bits. We want to round this to a double. Put them in a quad and then
+// do a quad fnorm.
+// For this example the true exponent of the low part is
 //      true_exponent_of_high - 43 = true_exponent_of_high - (64-21)
-// In general, this is 
-//      true_exponent_of_high - (64 - shift_value)  
-// 
-// 
+// In general, this is
+//      true_exponent_of_high - (64 - shift_value)
+//
+//
 // Largest T,t
 // ----------
 // The largest T,t is
-// data8 0x3fe62643fecf9742, 0x3c9e3147684bd37d    log(1/frcpa(1+255/256))=  +6.92171e-001
-// 
+// 0x3fe62643fecf9742, 0x3c9e3147684bd37d  log(1/frcpa(1+255/256))=+6.92171e-001
+//
 // Table entry 256 is
 // 0 fffe b1321ff67cba178c 51da12f4df5a0000
-// 
-// The shift value is 
+//
+// The shift value is
 //      63 - (51 -(0xffff - 0xfffe)) = 13
-// 
-// The true exponent of the low part is 
+//
+// The true exponent of the low part is
 //      true_exponent_of_high - (64 - shift_value)
 //      -1 - (64-13) = -52
 // Biased as a double, this is 0x3cb
-// 
-// 
-// 
+//
+//
+//
 // So then lsb(T) must be >= 2^-51
 // msb(Klog2_hi) <= 2^12
-// 
+//
 //              +--------+---------+
 //              |       51 bits    | <== largest T
 //              +--------+---------+
@@ -320,7 +333,6 @@
 // +------------+----------------+-+
 
 
-
 // Special Cases
 //==============================================================
 
@@ -385,63 +397,66 @@
 
 // X any   Y =0               +1
 
-#include "libm_support.h"
-
 // Assembly macros
 //==============================================================
 
 // integer registers used
 
-pow_AD_Tt                 = r33
-pow_GR_FFF7               = r34
-pow_GR_exp_Y              = r34 // duplicate
-pow_GR_17ones             = r35
-
-pow_AD_P                  = r36
-pow_AD_Q                  = r37
-pow_AD_tbl1               = r38
-pow_AD_tbl2               = r39
-pow_GR_exp_X              = r40
-pow_GR_true_exp_X         = r40 // duplicate
-
-pow_GR_offset             = r41
-pow_GR_exp_Xm1            = r42
-pow_GR_sig_X              = r43
-pow_GR_signexp_X          = r44
-
-pow_GR_signexp_Xm1        = r46
-pow_GR_int_W1             = r47
-pow_GR_int_W2             = r48
-pow_GR_int_N              = r49
-pow_GR_index1             = r50
-
-pow_GR_index2             = r51
-pow_AD_T1                 = r52
-pow_AD_T2                 = r53
-pow_GR_gt_ln              = r53 // duplicate
-pow_int_GR_M              = r54
-pow_GR_10033              = r55
-
-pow_GR_16ones             = r56
-pow_GR_sig_int_Y          = r57
-pow_GR_sign_Y_Gpr         = r58
-pow_GR_17ones_m1          = r59
-pow_GR_one                = r60
-pow_GR_sign_Y             = r60 
-
-pow_GR_signexp_Y_Gpr      = r61 
-pow_GR_exp_Y_Gpr          = r62 
-pow_GR_true_exp_Y_Gpr     = r63 
-pow_GR_signexp_Y          = r64 
-
-GR_SAVE_B0                = r65
-GR_SAVE_GP                = r66
-GR_SAVE_PFS               = r67
-
-GR_Parameter_X            = r68
-GR_Parameter_Y            = r69
-GR_Parameter_RESULT       = r70
-pow_GR_tag                = r71
+pow_GR_signexp_X          = r14
+pow_GR_17ones             = r15
+pow_AD_P                  = r16
+pow_GR_exp_2tom8          = r17
+pow_GR_sig_X              = r18
+pow_GR_10033              = r19
+pow_GR_16ones             = r20
+
+pow_AD_Tt                 = r21
+pow_GR_exp_X              = r22
+pow_AD_Q                  = r23
+pow_GR_true_exp_X         = r24
+pow_GR_y_zero             = r25
+
+pow_GR_exp_Y              = r26
+pow_AD_tbl1               = r27
+pow_AD_tbl2               = r28
+pow_GR_offset             = r29
+pow_GR_exp_Xm1            = r30
+pow_GR_xneg_yodd          = r31
+
+pow_GR_signexp_Xm1        = r35
+pow_GR_int_W1             = r36
+pow_GR_int_W2             = r37
+pow_GR_int_N              = r38
+pow_GR_index1             = r39
+pow_GR_index2             = r40
+
+pow_AD_T1                 = r41
+pow_AD_T2                 = r42
+pow_int_GR_M              = r43
+pow_GR_sig_int_Y          = r44
+pow_GR_sign_Y_Gpr         = r45
+
+pow_GR_17ones_m1          = r46
+pow_GR_one                = r47
+pow_GR_sign_Y             = r48
+pow_GR_signexp_Y_Gpr      = r49
+pow_GR_exp_Y_Gpr          = r50
+
+pow_GR_true_exp_Y_Gpr     = r51
+pow_GR_signexp_Y          = r52
+pow_GR_x_one              = r53
+pow_GR_big_pos            = r55
+
+pow_GR_big_neg            = r56
+
+GR_SAVE_B0                = r50
+GR_SAVE_GP                = r51
+GR_SAVE_PFS               = r52
+
+GR_Parameter_X            = r53
+GR_Parameter_Y            = r54
+GR_Parameter_RESULT       = r55
+pow_GR_tag                = r56
 
 
 // floating point registers used
@@ -464,7 +479,8 @@ POW_log2_lo               = f43
 POW_r                     = f44
 POW_Q0_half               = f45
 
-POW_Q1                    = f46  
+POW_Q1                    = f46
+POW_tmp                   = f47
 POW_log2_hi               = f48
 POW_Q4                    = f49
 POW_P1                    = f50
@@ -476,6 +492,7 @@ POW_Yrcub                 = f54
 POW_log2_by_128_lo        = f55
 
 POW_v6                    = f56
+POW_xsq                   = f57
 POW_v4                    = f58
 POW_v2                    = f59
 POW_T                     = f60
@@ -484,6 +501,7 @@ POW_Tt                    = f61
 POW_RSHF                  = f62
 POW_v21ps                 = f63
 POW_s4                    = f64
+POW_twoV                  = f65
 
 POW_U                     = f66
 POW_G                     = f67
@@ -533,44 +551,36 @@ POW_1ps                   = f103
 POW_A                     = f104
 POW_es                    = f105
 
+POW_Xp1                   = f106
 POW_int_K                 = f107
 POW_K                     = f108
 POW_f123                  = f109
 POW_Gpr                   = f110
 
-POW_Y_Gpr                 = f111 
+POW_Y_Gpr                 = f111
 POW_int_Y                 = f112
+POW_2Mqp1                 = f113
 
 POW_float_int_Y           = f116
 POW_ftz_urm_f8            = f117
 POW_wre_urm_f8            = f118
-POW_abs_A                 = f119
-POW_gt_pln                = f120
-
-POW_xsq                   = f121
-
-POW_twoV                  = f122
-POW_Xp1                   = f123
+POW_big_neg               = f119
+POW_big_pos               = f120
 
 // Data tables
 //==============================================================
 
-#ifdef _LIBC
-.rodata
-#else
-.data
-#endif
+RODATA
 
 .align 16
 
-pow_table_P:
-ASM_TYPE_DIRECTIVE(pow_table_P,@object)
+LOCAL_OBJECT_START(pow_table_P)
 data8 0x8000F7B249FF332D, 0x0000BFFC  // P_5
 data8 0xAAAAAAA9E7902C7F, 0x0000BFFC  // P_3
 data8 0x80000000000018E5, 0x0000BFFD  // P_1
 data8 0xb8aa3b295c17f0bc, 0x00004006  // inv_ln2_by_128
-
-
+//
+//
 data8 0x3FA5555555554A9E // Q_2
 data8 0x3F8111124F4DD9F9 // Q_3
 data8 0x3FE0000000000000 // Q_0
@@ -580,20 +590,18 @@ data8 0x43e8000000000000 // Right shift constant for exp
 data8 0xc9e3b39803f2f6af, 0x00003fb7  // ln2_by_128_lo
 data8 0x0000000000000000 // pad to eliminate bank conflicts with pow_table_Q
 data8 0x0000000000000000 // pad to eliminate bank conflicts with pow_table_Q
-ASM_SIZE_DIRECTIVE(pow_table_P)
+LOCAL_OBJECT_END(pow_table_P)
 
-pow_table_Q:
-ASM_TYPE_DIRECTIVE(pow_table_Q,@object)
+LOCAL_OBJECT_START(pow_table_Q)
 data8 0x9249FE7F0DC423CF, 0x00003FFC  // P_4
 data8 0xCCCCCCCC4ED2BA7F, 0x00003FFC  // P_2
 data8 0xAAAAAAAAAAAAB505, 0x00003FFD  // P_0
 data8 0x3fe62e42fefa39e8, 0x3cccd5e4f1d9cc02 // log2 hi lo =  +6.93147e-001
 data8 0xb17217f7d1cf79ab, 0x00003ff7  // ln2_by_128_hi
-ASM_SIZE_DIRECTIVE(pow_table_Q)
+LOCAL_OBJECT_END(pow_table_Q)
 
 
-pow_Tt:
-ASM_TYPE_DIRECTIVE(pow_Tt,@object)
+LOCAL_OBJECT_START(pow_Tt)
 data8 0x3f60040155d58800, 0x3c93bce0ce3ddd81 // log(1/frcpa(1+0/256))=  +1.95503e-003
 data8 0x3f78121214586a00, 0x3cb540e0a5cfc9bc // log(1/frcpa(1+1/256))=  +5.87661e-003
 data8 0x3f841929f9683200, 0x3cbdf1d57404da1f // log(1/frcpa(1+2/256))=  +9.81362e-003
@@ -850,13 +858,12 @@ data8 0x3fe5f673c61a2ed0, 0x3caa385eef5f2789 // log(1/frcpa(1+252/256))=  +6.863
 data8 0x3fe6065bea385924, 0x3cb11624f165c5b4 // log(1/frcpa(1+253/256))=  +6.88276e-001
 data8 0x3fe6164bfa7cc068, 0x3cbad884f87073fa // log(1/frcpa(1+254/256))=  +6.90222e-001
 data8 0x3fe62643fecf9740, 0x3cb78c51da12f4df // log(1/frcpa(1+255/256))=  +6.92171e-001
-ASM_SIZE_DIRECTIVE(pow_Tt)
+LOCAL_OBJECT_END(pow_Tt)
 
 
 // Table 1 is 2^(index_1/128) where
 // index_1 goes from 0 to 15
-pow_tbl1:
-ASM_TYPE_DIRECTIVE(pow_tbl1,@object)
+LOCAL_OBJECT_START(pow_tbl1)
 data8 0x8000000000000000 , 0x00003FFF
 data8 0x80B1ED4FD999AB6C , 0x00003FFF
 data8 0x8164D1F3BC030773 , 0x00003FFF
@@ -873,13 +880,12 @@ data8 0x88980E8092DA8527 , 0x00003FFF
 data8 0x8955EE03618E5FDD , 0x00003FFF
 data8 0x8A14D575496EFD9A , 0x00003FFF
 data8 0x8AD4C6452C728924 , 0x00003FFF
-ASM_SIZE_DIRECTIVE(pow_tbl1)
+LOCAL_OBJECT_END(pow_tbl1)
 
 
 // Table 2 is 2^(index_1/8) where
 // index_2 goes from 0 to 7
-pow_tbl2:
-ASM_TYPE_DIRECTIVE(pow_tbl2,@object)
+LOCAL_OBJECT_START(pow_tbl2)
 data8 0x8000000000000000 , 0x00003FFF
 data8 0x8B95C1E3EA8BD6E7 , 0x00003FFF
 data8 0x9837F0518DB8A96F , 0x00003FFF
@@ -888,372 +894,287 @@ data8 0xB504F333F9DE6484 , 0x00003FFF
 data8 0xC5672A115506DADD , 0x00003FFF
 data8 0xD744FCCAD69D6AF4 , 0x00003FFF
 data8 0xEAC0C6E7DD24392F , 0x00003FFF
-ASM_SIZE_DIRECTIVE(pow_tbl2)
-
-.global powf
+LOCAL_OBJECT_END(pow_tbl2)
 
 .section .text
-.proc  powf
-.align 32
-
-powf:
+GLOBAL_LIBM_ENTRY(powf)
 
+// Get exponent of x.  Will be used to calculate K.
 { .mfi
-          alloc         r32=ar.pfs,1,35,4,0 
-          fms.s1 POW_Xm1 = f8,f1,f1   // Will be used for r1 if x>0
-          mov           pow_GR_17ones  = 0x1FFFF
+          getf.exp     pow_GR_signexp_X = f8
+          fms.s1 POW_Xm1 = f8,f1,f1     // Will be used for r1 if x>0
+          mov           pow_GR_17ones   = 0x1FFFF
 }
 { .mfi
-(p0)      addl          pow_AD_P   = @ltoff(pow_table_P), gp
-          fma.s1 POW_Xp1 = f8,f1,f1   // Will be used for r1 if x<0
+          addl          pow_AD_P        = @ltoff(pow_table_P), gp
+          fma.s1 POW_Xp1 = f8,f1,f1     // Will be used for r1 if x<0
           nop.i 999
 ;;
 }
 
-
-// Get exponent of x.  Will be used to calculate K.
+// Get significand of x.  Will be used to get index to fetch T, Tt.
 { .mfi
-          getf.exp      pow_GR_signexp_X    = f8
-          frcpa.s1      POW_B, p6   = f1,f8
+          getf.sig      pow_GR_sig_X    = f8
+          frcpa.s1      POW_B, p6       = f1,f8
           nop.i 999
 }
 { .mfi
           ld8 pow_AD_P = [pow_AD_P]
-          fma.s1        POW_NORM_X     = f8,f1,f0
-          mov           pow_GR_FFF7    = 0xFFF7
+          fma.s1        POW_NORM_X      = f8,f1,f0
+          mov          pow_GR_exp_2tom8 = 0xFFF7
 }
 ;;
 
-
-
-// Get significand of x.  Will be used to get index to fetch T, Tt.
 // p13 = TRUE ==> X is unorm
 // DOUBLE 0x10033  exponent limit at which y is an integer
-// SINGLE 0x10016
 { .mfi
-          getf.sig      pow_GR_sig_X        = f8
-          fclass.m  p13,p0          = f8, 0x0b  // Test for x unorm
-          addl pow_GR_10033                 = 0x10033, r0
+          nop.m 999
+          fclass.m  p13,p0              = f8, 0x0b  // Test for x unorm
+          addl pow_GR_10033             = 0x10033, r0
 }
 { .mfi
           mov           pow_GR_16ones   = 0xFFFF
-          fma.s1        POW_NORM_Y     = f9,f1,f0
+          fma.s1        POW_NORM_Y      = f9,f1,f0
           nop.i 999
 }
 ;;
 
-
 // p14 = TRUE ==> X is ZERO
 { .mfi
           adds          pow_AD_Tt       = pow_Tt - pow_table_P,  pow_AD_P
-          fclass.m  p14,p15          = f8, 0x07
-          and           pow_GR_exp_X        = pow_GR_signexp_X, pow_GR_17ones
+          fclass.m  p14,p0              = f8, 0x07
+          and           pow_GR_exp_X    = pow_GR_signexp_X, pow_GR_17ones
 }
 { .mfi
-          adds          pow_AD_Q       = pow_table_Q - pow_table_P,  pow_AD_P
+          adds          pow_AD_Q        = pow_table_Q - pow_table_P,  pow_AD_P
           nop.f 999
           nop.i 999
 }
 ;;
 
 { .mfi
-          ldfe          POW_P5         = [pow_AD_P], 16
-          fcmp.lt.s1 p8,p9 = f8, f0    // Test for x<0
-          shl           pow_GR_offset       = pow_GR_sig_X, 1
+          ldfe          POW_P5          = [pow_AD_P], 16
+          fcmp.lt.s1 p8,p9 = f8, f0     // Test for x<0
+          nop.i 999
 }
 { .mib
-          ldfe          POW_P4         = [pow_AD_Q], 16
-          sub       pow_GR_true_exp_X       = pow_GR_exp_X, pow_GR_16ones
-(p13)     br.cond.spnt L(POW_X_DENORM)
+          ldfe          POW_P4          = [pow_AD_Q], 16
+          sub       pow_GR_true_exp_X   = pow_GR_exp_X, pow_GR_16ones
+(p13)     br.cond.spnt POW_X_DENORM
 }
 ;;
 
-
 // Continue normal and denormal paths here
-L(POW_COMMON):
+POW_COMMON:
 // p11 = TRUE ==> Y is a NAN
 { .mfi
-          ldfe          POW_P3         = [pow_AD_P], 16
-          fclass.m.unc  p11,p0         = f9, 0xc3
-          shr.u     pow_GR_offset           = pow_GR_offset,56
+          ldfe          POW_P3          = [pow_AD_P], 16
+          fclass.m  p11,p0              = f9, 0xc3
+          nop.i 999
 }
 { .mfi
-          ldfe          POW_P2         = [pow_AD_Q], 16
+          ldfe          POW_P2          = [pow_AD_Q], 16
           nop.f 999
-          nop.i 999
+          mov pow_GR_y_zero = 0
 }
 ;;
 
-
-
-// Compute xsq to decide later if |x|=1
-// p11 = TRUE ==> Y is a NaN
+// Note POW_Xm1 and POW_r1 are used interchangably
 { .mfi
-          setf.sig POW_int_K                = pow_GR_true_exp_X
-(p15)     fms.s1        POW_r          = POW_B, POW_NORM_X,f1
-          shladd pow_AD_Tt = pow_GR_offset, 4, pow_AD_Tt
+          alloc         r32=ar.pfs,2,19,4,0
+          fms.s1        POW_r           = POW_B, POW_NORM_X,f1
+          nop.i 999
 }
 { .mfi
-          nop.m 999
-(p8)      fnma.s1        POW_Xm1       = POW_Xp1,f1,f0
+          setf.sig POW_int_K            = pow_GR_true_exp_X
+(p8)      fnma.s1        POW_Xm1        = POW_Xp1,f1,f0
           nop.i 999
 }
 ;;
 
-
-
-// p12 = TRUE ==> X is ZERO and Y is ZERO
+// p12 = TRUE if Y is ZERO
+// Compute xsq to decide later if |x|=1
 { .mfi
-          ldfe          POW_P1         = [pow_AD_P], 16
-(p14)     fclass.m.unc  p12,p0              = f9, 0x07
-          nop.i 999
+          ldfe          POW_P1          = [pow_AD_P], 16
+          fclass.m      p12,p0          = f9, 0x07
+          shl           pow_GR_offset   = pow_GR_sig_X, 1
 }
 { .mfb
-          ldfe          POW_P0         = [pow_AD_Q], 16
+          ldfe          POW_P0          = [pow_AD_Q], 16
           fma.s1        POW_xsq = POW_NORM_X, POW_NORM_X, f0
-(p11)     br.cond.spnt   L(POW_Y_NAN)
+(p11)     br.cond.spnt  POW_Y_NAN       // Branch if y=nan
 }
 ;;
 
-
-.pred.rel "mutex",p8,p9
 // Get exponent of |x|-1 to use in comparison to 2^-8
-{ .mmf
-(p8)      getf.exp      pow_GR_signexp_Xm1  = POW_Xp1
-(p9)      getf.exp      pow_GR_signexp_Xm1  = POW_Xm1
-          fcvt.fx.s1   POW_int_Y            = POW_NORM_Y
+{ .mfi
+          getf.exp  pow_GR_signexp_Xm1  = POW_Xm1
+          fcvt.fx.s1   POW_int_Y        = POW_NORM_Y
+          shr.u     pow_GR_offset       = pow_GR_offset,56
 }
 ;;
 
-
 // p11 = TRUE ==> X is a NAN
 { .mfi
           ldfpd         POW_log2_hi, POW_log2_lo  = [pow_AD_Q], 16
-          fclass.m.unc  p11,p0              = f8, 0xc3
-          nop.i 999
+          fclass.m      p11,p0          = f8, 0xc3
+          shladd pow_AD_Tt = pow_GR_offset, 4, pow_AD_Tt
 }
-{ .mib
-          ldfpd  POW_T, POW_Tt              = [pow_AD_Tt], 16
-          nop.i 999
-(p12)     br.cond.spnt L(POW_X_0_Y_0)
+{ .mfi
+          ldfe          POW_inv_log2_by_128 = [pow_AD_P], 16
+          fma.s1 POW_delta              = f0,f0,f0 // delta=0 in case |x| near 1
+(p12)     mov pow_GR_y_zero = 1
 }
 ;;
 
-
-// p14 = TRUE ==> X is zero
-//    p15 = TRUE ==> X is zero AND Y is negative
-//    p10 = TRUE ==> X is zero AND Y is >= zero 
 { .mfi
-          ldfe          POW_inv_log2_by_128 = [pow_AD_P], 16
-(p14)     fcmp.lt.unc.s1 p15, p10           = f9,f0
-          nop.i 999
+          ldfpd  POW_Q2, POW_Q3         = [pow_AD_P], 16
+          fma.s1 POW_G                  = f0,f0,f0  // G=0 in case |x| near 1
+          and       pow_GR_exp_Xm1      = pow_GR_signexp_Xm1, pow_GR_17ones
 }
-{ .mfi
-          nop.m 999
-          nop.f 999
-          and       pow_GR_exp_Xm1          = pow_GR_signexp_Xm1, pow_GR_17ones
-} 
 ;;
 
-
 // Determine if we will use the |x| near 1 path (p6) or normal path (p7)
-// p12 = TRUE ==> X is a NAN and Y is a zero
-// p13 = TRUE ==> X is a NAN and Y is anything else
 { .mfi
-          getf.exp  pow_GR_signexp_Y        = POW_NORM_Y 
-(p11)     fclass.m.unc  p12,p13             = f9, 0x07
-          cmp.lt.unc p6,p7                  = pow_GR_exp_Xm1, pow_GR_FFF7
+          getf.exp  pow_GR_signexp_Y    = POW_NORM_Y
+          nop.f 999
+          cmp.lt p6,p7                  = pow_GR_exp_Xm1, pow_GR_exp_2tom8
 }
-{ .mfi
-          ldfpd  POW_Q2, POW_Q3             = [pow_AD_P], 16
-          fma.s1        POW_rsq             = POW_r, POW_r,f0
-          nop.i 999
-;;
+{ .mfb
+          ldfpd  POW_T, POW_Tt          = [pow_AD_Tt], 16
+          fma.s1        POW_rsq         = POW_r, POW_r,f0
+(p11)     br.cond.spnt  POW_X_NAN       // Branch if x=nan and y not nan
 }
+;;
 
 // If on the x near 1 path, assign r1 to r and r1*r1 to rsq
 { .mfi
-          ldfpd  POW_Q0_half, POW_Q1             = [pow_AD_P], 16
-(p6)      fma.s1    POW_r                 = POW_r1, f1, f0
-          nop.i 999
-}
-{ .mfi
-          nop.m 999
-(p6)      fma.s1    POW_rsq                 = POW_r1, POW_r1, f0
+          ldfpd  POW_Q0_half, POW_Q1    = [pow_AD_P], 16
+(p6)      fma.s1    POW_r               = POW_r1, f1, f0
           nop.i 999
-;;
-}
-
-
-{ .mfi
-          ldfpd   POW_Q4, POW_RSHF          = [pow_AD_P], 16
-(p7)      fma.s1 POW_v6                     = POW_r,  POW_P5, POW_P4
-          and pow_GR_exp_Y                   = pow_GR_signexp_Y, pow_GR_17ones
 }
 { .mfb
           nop.m 999
-(p6)      fma.s1 POW_v6                     = POW_r1, POW_P5, POW_P4
-(p12)     br.cond.spnt L(POW_X_NAN_Y_0)
+(p6)      fma.s1    POW_rsq             = POW_r1, POW_r1, f0
+(p14)     br.cond.spnt POW_X_0          // Branch if x zero and y not nan
 }
 ;;
 
-
 { .mfi
-          nop.m 999
-(p7)      fma.s1 POW_v4                     = POW_P3, POW_r,  POW_P2 
-          andcm pow_GR_sign_Y               = pow_GR_signexp_Y, pow_GR_17ones
+          ldfpd   POW_Q4, POW_RSHF      = [pow_AD_P], 16
+(p7)      fma.s1 POW_v6                 = POW_r,  POW_P5, POW_P4
+          nop.i 999
 }
-{ .mfb
+{ .mfi
           nop.m 999
-(p6)      fma.s1 POW_v4                     = POW_P3, POW_r1, POW_P2 
-(p12)     br.cond.spnt L(POW_X_NAN_Y_0)
+(p6)      fma.s1 POW_v6                 = POW_r1, POW_P5, POW_P4
+          nop.i 999
 }
 ;;
 
 { .mfi
           nop.m 999
-          fcvt.xf POW_K                     = POW_int_K
+(p7)      fma.s1 POW_v4                 = POW_P3, POW_r,  POW_P2
           nop.i 999
 }
-{ .mfb
-          nop.m 999
-(p13)     fma.s f8                           = f8,f1,f0
-(p13)     br.ret.spnt  b0    // Exit if x nan, y anything but zero
-}
-;;
-          
-// p10 = TRUE ==> X is zero  AND Y is positive
-//  p8  = TRUE ==> X is zero  AND Y is outside integer range (treat as even int)
-//                   return +0
-//  p9  = TRUE ==> X is zero  AND Y is within integer range (may not be integer) 
 { .mfi
-(p10)     cmp.gt.unc p8,p9                  =  pow_GR_exp_Y, pow_GR_10033
-(p6)      fmerge.s POW_delta                 = f0,f0
+          nop.m 999
+(p6)      fma.s1 POW_v4                 = POW_P3, POW_r1, POW_P2
           nop.i 999
 }
+;;
+
 { .mfi
           nop.m 999
-(p6)      fma.s1 POW_G                       = f0,f0,f0
+          fcvt.xf POW_K                 = POW_int_K
           nop.i 999
 }
 ;;
 
 { .mfi
-          getf.sig pow_GR_sig_int_Y         = POW_int_Y
-          fnma.s1 POW_twoV                   = POW_NORM_Y, POW_rsq,f0
-          nop.i 999
+          getf.sig pow_GR_sig_int_Y     = POW_int_Y
+          fnma.s1 POW_twoV              = POW_NORM_Y, POW_rsq,f0
+          and pow_GR_exp_Y              = pow_GR_signexp_Y, pow_GR_17ones
 }
-{ .mfi
-          nop.m 999
-          fma.s1 POW_U                      = POW_NORM_Y,POW_r,f0
-          nop.i 999
+{ .mfb
+          andcm pow_GR_sign_Y           = pow_GR_signexp_Y, pow_GR_17ones
+          fma.s1 POW_U                  = POW_NORM_Y,POW_r,f0
+(p12)     br.cond.spnt POW_Y_0   // Branch if y=zero, x not zero or nan
 }
 ;;
 
+// p11 = TRUE ==> X is NEGATIVE but not inf
 { .mfi
-          ldfe      POW_log2_by_128_lo      = [pow_AD_P], 16
-(p6)      fma.s1 POW_v2                     = POW_P1, POW_r1, POW_P0 
+          ldfe      POW_log2_by_128_lo  = [pow_AD_P], 16
+          fclass.m  p11,p0              = f8, 0x1a
           nop.i 999
 }
 { .mfi
-          ldfe          POW_log2_by_128_hi  = [pow_AD_Q], 16
-(p7)      fma.s1 POW_v2                     = POW_P1, POW_r,  POW_P0 
+          ldfe      POW_log2_by_128_hi  = [pow_AD_Q], 16
+          fma.s1 POW_v2                 = POW_P1, POW_r,  POW_P0
           nop.i 999
 }
 ;;
 
-
 { .mfi
           nop.m 999
-          fcvt.xf   POW_float_int_Y               = POW_int_Y
+          fcvt.xf   POW_float_int_Y     = POW_int_Y
           nop.i 999
 }
 { .mfi
           nop.m 999
-          fma.s1 POW_v3                     = POW_v6, POW_rsq,  POW_v4 
-          adds          pow_AD_tbl1       = pow_tbl1 - pow_Tt,  pow_AD_Q
+          fma.s1 POW_v3                 = POW_v6, POW_rsq,  POW_v4
+          adds          pow_AD_tbl1     = pow_tbl1 - pow_Tt,  pow_AD_Q
 }
 ;;
 
 { .mfi
           nop.m 999
-(p7)      fma.s1 POW_delta                  = POW_K, POW_log2_lo, POW_Tt
+(p7)      fma.s1 POW_delta              = POW_K, POW_log2_lo, POW_Tt
           nop.i 999
 }
 { .mfi
           nop.m 999
-(p7)      fma.s1 POW_G                      = POW_K, POW_log2_hi, POW_T 
-          adds pow_AD_tbl2                  = pow_tbl2 - pow_tbl1,  pow_AD_tbl1
+(p7)      fma.s1 POW_G                  = POW_K, POW_log2_hi, POW_T
+          adds pow_AD_tbl2              = pow_tbl2 - pow_tbl1,  pow_AD_tbl1
 }
 ;;
 
-
 { .mfi
           nop.m 999
-          fms.s1 POW_e2                     = POW_NORM_Y, POW_r, POW_U
+          fms.s1 POW_e2                 = POW_NORM_Y, POW_r, POW_U
           nop.i 999
 }
 { .mfi
           nop.m 999
-          fma.s1 POW_Z2                     = POW_twoV, POW_Q0_half, POW_U
+          fma.s1 POW_Z2                 = POW_twoV, POW_Q0_half, POW_U
           nop.i 999
 }
 ;;
 
-// p11 = TRUE ==> X is NEGATIVE 
-// p8  = TRUE ==> X is zero  AND Y is outside intger range (treat as even int)
-//                return +0
 { .mfi
           nop.m 999
-          fclass.m.unc  p11,p0              = f8, 0x1a
-          nop.i 999
-}
-{ .mfb
-          nop.m 999
-(p8)      fma.s f8                          = f0,f0,f0
-(p8)      br.ret.spnt b0
-}
-;;
-
-{ .mfi 
-          nop.m 999
-          fma.s1 POW_Yrcub                 = POW_rsq, POW_U, f0
+          fma.s1 POW_Yrcub              = POW_rsq, POW_U, f0
           nop.i 999
 }
-{ .mfi 
+{ .mfi
           nop.m 999
-          fma.s1 POW_p                      = POW_rsq, POW_v3, POW_v2
+          fma.s1 POW_p                  = POW_rsq, POW_v3, POW_v2
           nop.i 999
 }
 ;;
 
-
-// p11 = TRUE ==> X is NEGATIVE
-//    p12 = TRUE ==> X is NEGATIVE  AND  Y  already int
+// p11 = TRUE ==> X is NEGATIVE but not inf
+//    p12 = TRUE ==> X is NEGATIVE  AND  Y  already even int
 //    p13 = TRUE ==> X is NEGATIVE  AND  Y possible int
 { .mfi
           nop.m 999
-          fma.s1 POW_Z1                     = POW_NORM_Y, POW_G, f0
-(p11)     cmp.ge.unc  p12,p13                = pow_GR_exp_Y, pow_GR_10033
+          fma.s1 POW_Z1                 = POW_NORM_Y, POW_G, f0
+(p11)     cmp.gt.unc  p12,p13           = pow_GR_exp_Y, pow_GR_10033
 }
 { .mfi
           nop.m 999
-          fma.s1 POW_e3                     = POW_NORM_Y, POW_delta, f0
-          nop.i 999
-}
-;;
-
-// p9  = TRUE ==> X is zero  AND Y is within integer range (may not be integer)
-//    p6 = TRUE ==>  X is zero  AND  Y is an integer (may be even or odd)
-//    p7 = TRUE ==>  X is zero  AND  Y is NOT an integer, return +0
-{ .mfi
-          nop.m 999
-(p9)      fcmp.eq.unc.s1 p6,p7             = POW_float_int_Y,  POW_NORM_Y
-          nop.i 999
-}
-{ .mfi 
-          nop.m 999
-          fma.s1 POW_Gpr                    = POW_G, f1, POW_r
+          fma.s1 POW_Gpr                = POW_G, f1, POW_r
           nop.i 999
 }
 ;;
@@ -1266,24 +1187,14 @@ L(POW_COMMON):
 }
 { .mfi
           nop.m 999
-          fms.s1 POW_UmZ2                   = POW_U, f1, POW_Z2
+          fms.s1 POW_UmZ2               = POW_U, f1, POW_Z2
           nop.i 999
 }
 ;;
 
-
-// If x=0 and y>0, test y and flag denormal
-// p6  = TRUE ==>  X is zero  AND  Y is an integer (may be even or odd)
-//    p8 = TRUE ==>  X is zero  AND  Y is an odd  integer
-//    p9 = TRUE ==>  X is zero  AND  Y is an even integer
-{ .mfi
-          nop.m 999
-(p10)     fcmp.eq.s0 p15,p0 = f9,f0
-(p6)      tbit.nz.unc  p8,p9                = pow_GR_sig_int_Y,0
-}
 { .mfi
           nop.m 999
-          fma.s1 POW_Z3                      = POW_p, POW_Yrcub, f0
+          fma.s1 POW_Z3                 = POW_p, POW_Yrcub, f0
           nop.i 999
 }
 ;;
@@ -1291,7 +1202,7 @@ L(POW_COMMON):
 // By adding RSHF (1.1000...*2^63) we put integer part in rightmost significand
 { .mfi
           nop.m 999
-          fms.s1 POW_e1                     = POW_NORM_Y, POW_G, POW_Z1
+          fms.s1 POW_e1                 = POW_NORM_Y, POW_G, POW_Z1
           nop.i 999
 }
 { .mfi
@@ -1301,81 +1212,60 @@ L(POW_COMMON):
 }
 ;;
 
+// p13 = TRUE ==> X is NEGATIVE  AND  Y possible int
+//     p10 = TRUE ==> X is NEG and Y is an int
+//     p12 = TRUE ==> X is NEG and Y is not an int
 { .mfi
           nop.m 999
-(p7)      fma.s f8  = f0,f0,f0  // Result +0 if x zero and y not integer
-          nop.i 999
+(p13)     fcmp.eq.unc.s1 p10,p12        = POW_float_int_Y,  POW_NORM_Y
+          mov pow_GR_xneg_yodd = 0
 }
-{ .mfb
+{ .mfi
           nop.m 999
-          fma.s1 POW_Y_Gpr                  = POW_NORM_Y, POW_Gpr, f0
-(p8)      br.ret.spnt b0        // Exit if x zero and y odd integer
+          fma.s1 POW_Y_Gpr              = POW_NORM_Y, POW_Gpr, f0
+          nop.i 999
 }
 ;;
 
 // By subtracting RSHF we get rounded integer POW_N2float
-// p15 = TRUE ==> X_0_Y_NEG
 { .mfi
           nop.m 999
           fms.s1 POW_N2float  = POW_W2, f1, POW_RSHF
           nop.i 999
 }
-{ .mfb
+{ .mfi
           nop.m 999
-          fma.s1 POW_UmZ2pV                 = POW_twoV,POW_Q0_half,POW_UmZ2
-(p15)     br.cond.spnt L(POW_X_0_Y_NEG)
+          fma.s1 POW_UmZ2pV             = POW_twoV,POW_Q0_half,POW_UmZ2
+          nop.i 999
 }
 ;;
 
-
-
 { .mfi
           nop.m 999
-          fma.s1 POW_Z3sq                   = POW_Z3, POW_Z3, f0
+          fma.s1 POW_Z3sq               = POW_Z3, POW_Z3, f0
           nop.i 999
 }
-{ .mfb
+{ .mfi
           nop.m 999
-          fma.s1 POW_v4                     = POW_Z3, POW_Q3, POW_Q2
-(p7)      br.ret.spnt b0     // Exit if x zero and y not an integer
+          fma.s1 POW_v4                 = POW_Z3, POW_Q3, POW_Q2
+          nop.i 999
 }
 ;;
 
-
-
 // Extract rounded integer from rightmost significand of POW_W2
 // By subtracting RSHF we get rounded integer POW_N1float
 { .mfi
-          getf.sig pow_GR_int_W2             = POW_W2
+          getf.sig pow_GR_int_W2        = POW_W2
           fms.s1 POW_N1float  = POW_W1, f1, POW_RSHF
           nop.i 999
 }
 { .mfi
           nop.m 999
-          fma.s1 POW_v2                     = POW_Z3, POW_Q1, POW_Q0_half
-          nop.i 999
-}
-;;
-
-
-
-
-// p13 = TRUE ==> X is NEGATIVE  AND  Y possible int
-//     p10 = TRUE ==> X is NEG and Y is an int
-//     p12 = TRUE ==> X is NEG and Y is not an int
-{ .mfi
-          nop.m 999
-(p13)     fcmp.eq.unc.s1 p10,p12             = POW_float_int_Y,  POW_NORM_Y
+          fma.s1 POW_v2                 = POW_Z3, POW_Q1, POW_Q0_half
           nop.i 999
 }
-{ .mfb
-          nop.m 999
-(p9)      fma.s f8  = f0,f0,f0   // Result +0 if x zero and y even integer
-(p9)      br.ret.spnt b0    // Exit if x zero and y even integer
-}
 ;;
 
-
 { .mfi
           nop.m 999
           fnma.s1 POW_s2 = POW_N2float, POW_log2_by_128_hi, POW_Z2
@@ -1383,7 +1273,7 @@ L(POW_COMMON):
 }
 { .mfi
           nop.m 999
-          fma.s1 POW_e2                     = POW_e2,f1,POW_UmZ2pV
+          fma.s1 POW_e2                 = POW_e2,f1,POW_UmZ2pV
           nop.i 999
 }
 ;;
@@ -1391,278 +1281,250 @@ L(POW_COMMON):
 // Extract rounded integer from rightmost significand of POW_W1
 // Test if x inf
 { .mfi
-          getf.sig pow_GR_int_W1             = POW_W1
-          fclass.m.unc p15,p0 = POW_NORM_X,  0x23
+          getf.sig pow_GR_int_W1        = POW_W1
+          fclass.m p15,p0 = POW_NORM_X,  0x23
           nop.i 999
 }
 { .mfb
           nop.m 999
           fnma.s1 POW_f2  = POW_N2float, POW_log2_by_128_lo, f1
-(p12)     br.cond.spnt L(POW_X_NEG_Y_NONINT)  // Branch if x neg, y not integer
+(p12)     br.cond.spnt POW_X_NEG_Y_NONINT  // Branch if x neg, y not integer
 }
 ;;
 
+// p11 = TRUE ==> X is +1.0
 // p12 = TRUE ==> X is NEGATIVE  AND Y is an odd integer
 { .mfi
-          getf.exp pow_GR_signexp_Y_Gpr       = POW_Y_Gpr
-          fma.s1 POW_v3                     = POW_Z3sq, POW_Q4, POW_v4
-(p10)     tbit.nz.unc  p12,p0                = pow_GR_sig_int_Y,0
+          getf.exp pow_GR_signexp_Y_Gpr = POW_Y_Gpr
+          fcmp.eq.s1 p11,p0 = POW_NORM_X, f1
+(p10)     tbit.nz.unc  p12,p0           = pow_GR_sig_int_Y,0
+}
+{ .mfi
+          nop.m 999
+          fma.s1 POW_v3                 = POW_Z3sq, POW_Q4, POW_v4
+          nop.i 999
 }
 ;;
 
-
 { .mfi
-          add pow_GR_int_N                   = pow_GR_int_W1, pow_GR_int_W2
+          nop.m 999
           fnma.s1 POW_f1  = POW_N1float, POW_log2_by_128_lo, f1
           nop.i 999
 }
 { .mfb
           nop.m 999
           fnma.s1 POW_s1  = POW_N1float, POW_log2_by_128_hi, POW_Z1
-(p15)     br.cond.spnt L(POW_X_INF)
+(p15)     br.cond.spnt POW_X_INF
 }
 ;;
 
-
 // Test x and y and flag denormal
 { .mfi
-          and pow_GR_index1                  = 0x0f, pow_GR_int_N
+          nop.m 999
           fcmp.eq.s0 p15,p0 = f8,f9
-          shr r2                             = pow_GR_int_N, 7
+          nop.i 999
 }
 { .mfi
-          and pow_GR_exp_Y_Gpr               = pow_GR_signexp_Y_Gpr, pow_GR_17ones
-          nop.f 999
-          and pow_GR_index2                  = 0x70, pow_GR_int_N
+          nop.m 999
+          fma.s1 POW_e3                 = POW_NORM_Y, POW_delta, f0
+          nop.i 999
 }
 ;;
 
-
-
 { .mfi
-          shladd pow_AD_T1                   = pow_GR_index1, 4, pow_AD_tbl1
+          nop.m 999
           fcmp.eq.s1 p7,p0 = POW_NORM_Y, f1  // Test for y=1.0
-          sub pow_GR_true_exp_Y_Gpr          = pow_GR_exp_Y_Gpr, pow_GR_16ones
+          nop.i 999
 }
 { .mfi
-          addl pow_int_GR_M                  = 0xFFFF, r2
-          fma.s1  POW_e12                     = POW_e1,f1,POW_e2
-          add pow_AD_T2                      = pow_AD_tbl2, pow_GR_index2
+          nop.m 999
+          fma.s1  POW_e12               = POW_e1,f1,POW_e2
+          nop.i 999
 }
 ;;
 
-
-{ .mmi
-          ldfe POW_T1                        = [pow_AD_T1],16
-          setf.exp POW_2M                    = pow_int_GR_M
-          andcm pow_GR_sign_Y_Gpr            = pow_GR_signexp_Y_Gpr, pow_GR_17ones
+{ .mfi
+          add pow_GR_int_N              = pow_GR_int_W1, pow_GR_int_W2
+(p11)     fma.s.s0 f8 = f1,f1,f0    // If x=1, result is +1
+          nop.i 999
+}
+{ .mib
+(p12)     mov pow_GR_xneg_yodd = 1
+          nop.i 999
+(p11)     br.ret.spnt b0            // Early exit if x=1.0, result is +1
 }
 ;;
 
-
-{ .mfb
-          ldfe POW_T2                        = [pow_AD_T2],16
-          fma.s1 POW_q                       = POW_Z3sq, POW_v3, POW_v2
+{ .mfi
+          and pow_GR_index1             = 0x0f, pow_GR_int_N
+          fma.s1 POW_q                  = POW_Z3sq, POW_v3, POW_v2
+          shr pow_int_GR_M              = pow_GR_int_N, 7    // M = N/128
+}
+{ .mib
+          and pow_GR_index2             = 0x70, pow_GR_int_N
+          nop.i 999
 (p7)      br.ret.spnt b0        // Early exit if y=1.0, result is x
 }
 ;;
 
-
-// double: p8 TRUE ==> |Y(G + r)| >= 10
-// single: p8 TRUE ==> |Y(G + r)| >= 7
-
-// double
-//     -2^10  -2^9             2^9   2^10
-// -----+-----+----+ ... +-----+-----+-----
-//  p8  |             p9             |  p8
-//      |     |       p10      |     |  
-// single
-//     -2^7   -2^6             2^6   2^7
-// -----+-----+----+ ... +-----+-----+-----
-//  p8  |             p9             |  p8
-//      |     |       p10      |     |
-
-
 { .mfi
-(p0)      cmp.le.unc p8,p9                   = 7, pow_GR_true_exp_Y_Gpr
-          fma.s1 POW_s                       = POW_s1, f1, POW_s2
-          nop.i 999
+          shladd pow_AD_T1              = pow_GR_index1, 4, pow_AD_tbl1
+          fma.s1 POW_s                  = POW_s1, f1, POW_s2
+          add pow_int_GR_M              = pow_GR_16ones, pow_int_GR_M
 }
 { .mfi
-          nop.m 999
-          fma.s1 POW_f12                     = POW_f1, POW_f2,f0
+          add pow_AD_T2                 = pow_AD_tbl2, pow_GR_index2
+          fma.s1 POW_f12                = POW_f1, POW_f2,f0
           nop.i 999
 }
 ;;
 
-
-{ .mfi
+{ .mmf
+          ldfe POW_T1                   = [pow_AD_T1]
+          ldfe POW_T2                   = [pow_AD_T2]
           nop.f 999
-(p9)      cmp.le.unc p0,p10                  = 6, pow_GR_true_exp_Y_Gpr
 }
 ;;
 
-
-
-{ .mfb
-          nop.m 999
-          fma.s1 POW_e123                    = POW_e12, f1, POW_e3
-(p8)      br.cond.spnt L(POW_OVER_UNDER_X_NOT_INF)
+{ .mfi
+          setf.exp POW_2M               = pow_int_GR_M
+          fma.s1 POW_e123               = POW_e12, f1, POW_e3
+          and pow_GR_exp_Y_Gpr          = pow_GR_signexp_Y_Gpr, pow_GR_17ones
 }
 ;;
 
-
-{ .mmf
-          fma.s1 POW_q                       = POW_Z3sq, POW_q, POW_Z3
+{ .mfi
+          nop.m 999
+          fma.s1 POW_q                  = POW_Z3sq, POW_q, POW_Z3
+          sub pow_GR_true_exp_Y_Gpr     = pow_GR_exp_Y_Gpr, pow_GR_16ones
 }
 ;;
 
+// p8 TRUE ==> |Y(G + r)| >= 7
 
+// single
+//     -2^7   -2^6             2^6   2^7
+// -----+-----+----+ ... +-----+-----+-----
+//  p8  |             p9             |  p8
+//      |     |       p10      |     |
+
+// Form signexp of constants to indicate overflow
 { .mfi
-          nop.m 999 
-          fma.s1 POW_ssq                     = POW_s, POW_s, f0
-          nop.i 999
+          mov         pow_GR_big_pos    = 0x1007f
+          fma.s1 POW_ssq                = POW_s, POW_s, f0
+          cmp.le p8,p9                  = 7, pow_GR_true_exp_Y_Gpr
 }
 { .mfi
-          nop.m 999 
-          fma.s1 POW_v4                      = POW_s, POW_Q3, POW_Q2
-          nop.i 999
+          mov         pow_GR_big_neg    = 0x3007f
+          fma.s1 POW_v4                 = POW_s, POW_Q3, POW_Q2
+          andcm pow_GR_sign_Y_Gpr       = pow_GR_signexp_Y_Gpr, pow_GR_17ones
 }
 ;;
 
+// Form big positive and negative constants to test for possible overflow
 { .mfi
-          nop.m 999
-          fma.s1 POW_v2                      = POW_s, POW_Q1, POW_Q0_half
-          nop.i 999
+          setf.exp POW_big_pos          = pow_GR_big_pos
+          fma.s1 POW_v2                 = POW_s, POW_Q1, POW_Q0_half
+(p9)      cmp.le.unc p0,p10             = 6, pow_GR_true_exp_Y_Gpr
 }
-{ .mfi
-          nop.m 999
-          fma.s1 POW_1ps                     = f1,f1,POW_s
-          nop.i 999
+{ .mfb
+          setf.exp POW_big_neg          = pow_GR_big_neg
+          fma.s1 POW_1ps                = f1,f1,POW_s
+(p8)      br.cond.spnt POW_OVER_UNDER_X_NOT_INF
 }
 ;;
 
+// f123 = f12*(e123+1) = f12*e123+f12
 { .mfi
           nop.m 999
-          fma.s1 POW_f3                      = POW_e123,f1,f1
+          fma.s1 POW_f123               = POW_e123,POW_f12,POW_f12
           nop.i 999
 }
 ;;
 
 { .mfi
           nop.m 999
-          fma.s1 POW_T1T2                    = POW_T1, POW_T2, f0
+          fma.s1 POW_T1T2               = POW_T1, POW_T2, f0
           nop.i 999
 }
-;;
-
 { .mfi
           nop.m 999
-          fma.s1 POW_v3                     = POW_ssq, POW_Q4, POW_v4
-          nop.i 999
+          fma.s1 POW_v3                 = POW_ssq, POW_Q4, POW_v4
+          cmp.ne p12,p13 = pow_GR_xneg_yodd, r0
 }
 ;;
 
 { .mfi
           nop.m 999
-          fma.s1 POW_v21ps                  = POW_ssq, POW_v2, POW_1ps
-          nop.i 999
-}
-{ .mfi
-          nop.m 999
-          fma.s1 POW_s4                     = POW_ssq, POW_ssq, f0
+          fma.s1 POW_2Mqp1              = POW_2M, POW_q, POW_2M
           nop.i 999
 }
 ;;
 
 { .mfi
           nop.m 999
-          fma.s1 POW_f123                    = POW_f12, POW_f3, f0
+          fma.s1 POW_v21ps              = POW_ssq, POW_v2, POW_1ps
           nop.i 999
 }
-;;
-
 { .mfi
           nop.m 999
-          fma.s1 POW_A                      =  POW_2M, POW_T1T2, f0
+          fma.s1 POW_s4                 = POW_ssq, POW_ssq, f0
           nop.i 999
 }
 ;;
 
-
-
 { .mfi
           nop.m 999
-(p12)     fmerge.s POW_f123 = f8,POW_f123  // if x neg, y odd int
+(p12)     fnma.s1 POW_A                 =  POW_T1T2, POW_f123, f0
           nop.i 999
 }
 { .mfi
           nop.m 999
-//          fma.s1 POW_es                     = POW_ssq,  POW_v3, POW_v2
+(p13)     fma.s1 POW_A                  =  POW_T1T2, POW_f123, f0
           nop.i 999
 }
 ;;
 
 { .mfi
           nop.m 999
-          fma.s1 POW_es                     = POW_s4,  POW_v3, POW_v21ps
+          fma.s1 POW_es                 = POW_s4,  POW_v3, POW_v21ps
           nop.i 999
 }
-;;
-
-
 { .mfi
           nop.m 999
-          fma.s1 POW_A                      = POW_A, POW_f123, f0
-          nop.i 999
-}
-{ .mfi
-          nop.m 999
-//          fma.s1 POW_es                     = POW_es, POW_ssq, POW_1ps
+          fma.s1 POW_A                  = POW_A, POW_2Mqp1, f0
           nop.i 999
 }
 ;;
 
-
+// Dummy op to set inexact
 { .mfi
           nop.m 999
-          fma.s1 POW_A                      = POW_A, POW_es,f0
+          fma.s0 POW_tmp                = POW_2M, POW_q, POW_2M
           nop.i 999
 }
 ;;
 
-
-
 { .mfb
           nop.m 999
-(p10)     fma.s f8                          = POW_A, POW_q, POW_A
-(p10)     br.ret.sptk     b0
+          fma.s.s0 f8                   = POW_A, POW_es, f0
+(p10)     br.ret.sptk     b0            // Exit main branch if no over/underflow
 }
 ;;
 
-
-
-
-
 // POSSIBLE_OVER_UNDER
-// p6 = TRUE ==> Y negative
+// p6 = TRUE ==> Y_Gpr negative
+// Result is already computed.  We just need to know if over/underflow occurred.
 
-{ .mfi
-        nop.m 999
-        fmerge.s POW_abs_A                = f0, POW_A
-        cmp.eq.unc p0,p6                  = pow_GR_sign_Y, r0
-}
-;;
-
-{ .mib
-        nop.m 999
-        nop.i 999
-(p6)    br.cond.spnt L(POW_POSSIBLE_UNDER) 
+{ .mfb
+        cmp.eq p0,p6                    = pow_GR_sign_Y_Gpr, r0
+        nop.f 999
+(p6)    br.cond.spnt POW_POSSIBLE_UNDER
 }
 ;;
 
 // POSSIBLE_OVER
-// We got an answer. 
+// We got an answer.
 // overflow is a possibility, not a certainty
 
 
@@ -1692,21 +1554,20 @@ L(POW_COMMON):
 //                  RN         RN
 //                             RZ
 
-
 // Put in s2 (td set, wre set)
 { .mfi
-        mov           pow_GR_gt_ln                 = 0x1007f 
+        nop.m 999
         fsetc.s2 0x7F,0x42
-        nop.i 999 
+        nop.i 999
 }
 ;;
 
-
 { .mfi
-        setf.exp POW_gt_pln                        = pow_GR_gt_ln
-        fma.s.s2 POW_wre_urm_f8                    = POW_abs_A, POW_q, POW_abs_A
-        nop.i 999 ;;
+        nop.m 999
+        fma.s.s2 POW_wre_urm_f8         = POW_A, POW_es, f0
+        nop.i 999
 }
+;;
 
 // Return s2 to default
 { .mfi
@@ -1716,31 +1577,30 @@ L(POW_COMMON):
 }
 ;;
 
-
 // p7 = TRUE ==> yes, we have an overflow
 { .mfi
         nop.m 999
-        fcmp.ge.unc.s1 p7, p0                    =  POW_wre_urm_f8, POW_gt_pln
+        fcmp.ge.s1 p7, p8               =  POW_wre_urm_f8, POW_big_pos
         nop.i 999
 }
 ;;
 
-
-
-{ .mfb
-(p7)   mov pow_GR_tag                            = 30
-       fma.s f8                                  = POW_A, POW_q, POW_A
-(p7)   br.cond.spnt __libm_error_region 
+{ .mfi
+        nop.m 999
+(p8)    fcmp.le.s1 p7, p0               =  POW_wre_urm_f8, POW_big_neg
+        nop.i 999
 }
-{ .mfb
-       nop.m 999
-       nop.f 999
-(p0)   br.ret.sptk     b0 
+;;
+
+{ .mbb
+(p7)   mov pow_GR_tag                   = 30
+(p7)   br.cond.spnt __libm_error_region // Branch if overflow
+       br.ret.sptk     b0               // Exit if did not overflow
 }
 ;;
 
 
-L(POW_POSSIBLE_UNDER):
+POW_POSSIBLE_UNDER:
 // We got an answer. input was < -2^9 but > -2^10 (double)
 // We got an answer. input was < -2^6 but > -2^7  (float)
 // underflow is a possibility, not a certainty
@@ -1763,124 +1623,250 @@ L(POW_POSSIBLE_UNDER):
 //   0.1...11 2^-3ffe                                   (biased, 1)
 //    largest dn                               smallest normal
 
-
 // Put in s2 (td set, ftz set)
 { .mfi
         nop.m 999
         fsetc.s2 0x7F,0x41
-        nop.i 999 
+        nop.i 999
 }
 ;;
 
-
-
 { .mfi
         nop.m 999
-        fma.s.s2 POW_ftz_urm_f8                    = POW_A, POW_q, POW_A
+        fma.s.s2 POW_ftz_urm_f8         = POW_A, POW_es, f0
         nop.i 999
 }
 ;;
 
-
 // Return s2 to default
 { .mfi
         nop.m 999
         fsetc.s2 0x7F,0x40
-        nop.i 999 
+        nop.i 999
 }
 ;;
 
-
 // p7 = TRUE ==> yes, we have an underflow
 { .mfi
         nop.m 999
-        fcmp.eq.unc.s1 p7, p0                     =  POW_ftz_urm_f8, f0
-        nop.i 999 
+        fcmp.eq.s1 p7, p0               =  POW_ftz_urm_f8, f0
+        nop.i 999
 }
 ;;
 
+{ .mbb
+(p7)    mov pow_GR_tag                  = 31
+(p7)    br.cond.spnt __libm_error_region // Branch if underflow
+        br.ret.sptk     b0               // Exit if did not underflow
+}
+;;
 
+POW_X_DENORM:
+// Here if x unorm. Use the NORM_X for getf instructions, and then back
+// to normal path
+{ .mfi
+        getf.exp      pow_GR_signexp_X  = POW_NORM_X
+        nop.f 999
+        nop.i 999
+}
+;;
 
+{ .mmi
+        getf.sig      pow_GR_sig_X      = POW_NORM_X
+;;
+        and           pow_GR_exp_X      = pow_GR_signexp_X, pow_GR_17ones
+        nop.i 999
+}
+;;
+
+{ .mib
+        sub       pow_GR_true_exp_X     = pow_GR_exp_X, pow_GR_16ones
+        nop.i 999
+        br.cond.sptk    POW_COMMON
+}
+;;
+
+POW_X_0:
+// Here if x=0 and y not nan
+//
+// We have the following cases:
+//  p6  x=0  and  y>0 and is an integer (may be even or odd)
+//  p7  x=0  and  y>0 and is NOT an integer, return +0
+//  p8  x=0  and  y>0 and so big as to always be an even integer, return +0
+//  p9  x=0  and  y>0 and may not be integer
+//  p10 x=0  and  y>0 and is an odd  integer, return x
+//  p11 x=0  and  y>0 and is an even integer, return +0
+//  p12 used in dummy fcmp to set denormal flag if y=unorm
+//  p13 x=0  and  y>0
+//  p14 x=0  and  y=0, branch to code for calling error handling
+//  p15 x=0  and  y<0, branch to code for calling error handling
+//
+{ .mfi
+        getf.sig pow_GR_sig_int_Y = POW_int_Y // Get signif of int_Y
+        fcmp.lt.s1 p15,p13 = f9, f0           // Test for y<0
+        and pow_GR_exp_Y = pow_GR_signexp_Y, pow_GR_17ones
+}
+{ .mfb
+        cmp.ne p14,p0 = pow_GR_y_zero,r0      // Test for y=0
+        fcvt.xf   POW_float_int_Y = POW_int_Y
+(p14)   br.cond.spnt POW_X_0_Y_0              // Branch if x=0 and y=0
+}
+;;
 
+// If x=0 and y>0, test y and flag denormal
 { .mfb
-(p7)    mov pow_GR_tag                           = 31
-        fma.s f8                                 = POW_A, POW_q, POW_A
-(p7)    br.cond.spnt __libm_error_region 
+(p13)   cmp.gt.unc p8,p9 = pow_GR_exp_Y, pow_GR_10033 // Test y +big = even int
+(p13)   fcmp.eq.s0 p12,p0 = f9,f0    // If x=0, y>0 dummy op to flag denormal
+(p15)   br.cond.spnt POW_X_0_Y_NEG // Branch if x=0 and y<0
 }
 ;;
 
+// Here if x=0 and y>0
+{ .mfi
+        nop.m 999
+(p9)    fcmp.eq.unc.s1 p6,p7 = POW_float_int_Y,  POW_NORM_Y // Test y=int
+        nop.i 999
+}
+{ .mfi
+        nop.m 999
+(p8)    fma.s.s0 f8 = f0,f0,f0 // If x=0, y>0 and large even int, return +0
+        nop.i 999
+}
+;;
+
+{ .mfi
+        nop.m 999
+(p7)    fma.s.s0 f8  = f0,f0,f0   // Result +0 if x=0 and y>0 and not integer
+(p6)    tbit.nz.unc p10,p11 = pow_GR_sig_int_Y,0 // If y>0 int, test y even/odd
+}
+;;
 
+// Note if x=0, y>0 and odd integer, just return x
 { .mfb
         nop.m 999
-        nop.f 999
-        br.ret.sptk     b0 
+(p11)   fma.s.s0 f8  = f0,f0,f0   // Result +0 if x=0 and y even integer
+        br.ret.sptk b0            // Exit if x=0 and y>0
 }
 ;;
 
+POW_X_0_Y_0:
+// When X is +-0 and Y is +-0, IEEE returns 1.0
+// We call error support with this value
 
-L(POW_X_DENORM):
-// Here if x unorm. Use the NORM_X for getf instructions, and the back
-// to normal path
-{ .mfi
-        getf.exp      pow_GR_signexp_X    = POW_NORM_X
-        nop.f 999
-        nop.i 999
+{ .mfb
+        mov pow_GR_tag                  = 32
+        fma.s.s0 f8                     = f1,f1,f0
+        br.cond.sptk __libm_error_region
 }
 ;;
 
+POW_X_0_Y_NEG:
+// When X is +-0 and Y is negative, IEEE returns
+// X     Y           answer
+// +0    -odd int    +inf
+// -0    -odd int    -inf
+
+// +0    !-odd int   +inf
+// -0    !-odd int   +inf
+
+// p6 == Y is a floating point number outside the integer.
+//       Hence it is an integer and is even.
+//       return +inf
+
+// p7 == Y is a floating point number within the integer range.
+//      p9  == (int_Y = NORM_Y), Y is an integer, which may be odd or even.
+//           p11 odd
+//              return (sign_of_x)inf
+//           p12 even
+//              return +inf
+//      p10 == Y is not an integer
+//         return +inf
+//
+
 { .mfi
-        getf.sig      pow_GR_sig_X        = POW_NORM_X
-        nop.f 999
-        nop.i 999
+          nop.m 999
+          nop.f 999
+          cmp.gt  p6,p7                 = pow_GR_exp_Y, pow_GR_10033
 }
 ;;
 
 { .mfi
-        and           pow_GR_exp_X        = pow_GR_signexp_X, pow_GR_17ones
-        nop.f 999
+          mov pow_GR_tag                = 33
+(p7)      fcmp.eq.unc.s1 p9,p10         = POW_float_int_Y,  POW_NORM_Y
+          nop.i 999
 }
 ;;
 
-{ .mib
-        sub       pow_GR_true_exp_X       = pow_GR_exp_X, pow_GR_16ones
-        shl           pow_GR_offset       = pow_GR_sig_X, 1
-        br.cond.sptk    L(POW_COMMON)
+{ .mfb
+          nop.m 999
+(p6)      frcpa.s0 f8,p13               = f1, f0
+(p6)      br.cond.sptk __libm_error_region   // x=0, y<0, y large neg int
 }
 ;;
 
+{ .mfb
+          nop.m 999
+(p10)     frcpa.s0 f8,p13               = f1, f0
+(p10)     br.cond.sptk __libm_error_region   // x=0, y<0, y not int
+}
+;;
 
-L(POW_X_0_Y_0):
-// When X is +-0 and Y is +-0, IEEE returns 1.0 
-// We call error support with this value 
+// x=0, y<0, y an int
+{ .mib
+          nop.m 999
+(p9)      tbit.nz.unc p11,p12           = pow_GR_sig_int_Y,0
+          nop.b 999
+}
+;;
+
+{ .mfi
+          nop.m 999
+(p12)     frcpa.s0 f8,p13               = f1,f0
+          nop.i 999
+}
+;;
 
 { .mfb
-         mov pow_GR_tag                     = 32
-         fma.s f8                           = f1,f1,f0
-         br.cond.sptk __libm_error_region
+          nop.m 999
+(p11)     frcpa.s0 f8,p13               = f1,f8
+          br.cond.sptk __libm_error_region
 }
 ;;
 
 
+POW_Y_0:
+// Here for y zero, x anything but zero and nan
+// Set flag if x denormal
+// Result is +1.0
+{ .mfi
+        nop.m 999
+        fcmp.eq.s0 p6,p0 = f8,f0    // Sets flag if x denormal
+        nop.i 999
+}
+{ .mfb
+        nop.m 999
+        fma.s.s0 f8 = f1,f1,f0
+        br.ret.sptk b0
+}
+;;
 
 
-L(POW_X_INF):
-// When X is +-inf and Y is +-, IEEE returns 
+POW_X_INF:
+// Here when X is +-inf
 
-// overflow                       
-// X +inf  Y +inf             +inf  
-// X -inf  Y +inf             +inf 
+// X +inf  Y +inf             +inf
+// X -inf  Y +inf             +inf
 
-// X +inf  Y >0               +inf    
+// X +inf  Y >0               +inf
 // X -inf  Y >0, !odd integer +inf     <== (-inf)^0.5 = +inf !!
-// X -inf  Y >0,  odd integer  -inf   
+// X -inf  Y >0,  odd integer -inf
 
-// underflow                     
-// X +inf  Y -inf             +0   
-// X -inf  Y -inf             +0  
+// X +inf  Y -inf             +0
+// X -inf  Y -inf             +0
 
-// X +inf  Y <0               +0      
-// X -inf  Y <0, !odd integer +0     
-// X -inf  Y <0, odd integer  -0    
+// X +inf  Y <0               +0
+// X -inf  Y <0, !odd integer +0
+// X -inf  Y <0, odd integer  -0
 
 // X + inf Y=+0                +1
 // X + inf Y=-0                +1
@@ -1892,32 +1878,30 @@ L(POW_X_INF):
 
 // p6 == Y is a floating point number outside the integer.
 //       Hence it is an integer and is even.
-//       p13 == (Y negative) 
+//       p13 == (Y negative)
 //          return +inf
 //       p14 == (Y positive)
 //          return +0
 
-
-
 // p7 == Y is a floating point number within the integer range.
 //      p9  == (int_Y = NORM_Y), Y is an integer, which may be odd or even.
 //           p11 odd
-//              p13 == (Y negative)    
+//              p13 == (Y negative)
 //                 return (sign_of_x)inf
-//              p14 == (Y positive) 
+//              p14 == (Y positive)
 //                 return (sign_of_x)0
-//           pxx even                
-//              p13 == (Y negative) 
-//                 return +inf     
+//           pxx even
+//              p13 == (Y negative)
+//                 return +inf
 //              p14 == (Y positive)
-//                 return +0     
+//                 return +0
 
 //      pxx == Y is not an integer
-//           p13 == (Y negative) 
+//           p13 == (Y negative)
 //                 return +inf
 //           p14 == (Y positive)
 //                 return +0
-// 
+//
 
 // If x=inf, test y and flag denormal
 { .mfi
@@ -1929,207 +1913,131 @@ L(POW_X_INF):
 
 { .mfi
           nop.m 999
-          fcmp.lt p13,p14                    = POW_NORM_Y,f0 
-          cmp.gt.unc  p6,p7                  = pow_GR_exp_Y, pow_GR_10033
+          fcmp.lt.s0 p13,p14            = POW_NORM_Y,f0
+          cmp.gt  p6,p7                 = pow_GR_exp_Y, pow_GR_10033
 }
 { .mfi
           nop.m 999
-          fclass.m p12,p0                    = f9, 0x23
+          fclass.m p12,p0               = f9, 0x23 //@inf
           nop.i 999
 }
 ;;
 
-
 { .mfi
           nop.m 999
-          fclass.m p15,p0                    = f9, 0x07	//@zero
+          fclass.m p15,p0               = f9, 0x07 //@zero
           nop.i 999
 }
 ;;
 
 { .mfb
           nop.m 999
-(p15)     fmerge.s f8 = f1,f1
-(p15)     br.ret.spnt b0
+(p15)     fmerge.s f8 = f1,f1      // Return +1.0 if x=inf, y=0
+(p15)     br.ret.spnt b0           // Exit if x=inf, y=0
 }
 ;;
 
-        
 { .mfi
-(p13)     mov pow_GR_tag                     = 31
-(p14)     frcpa.s1 f8,p10                       = f1,f0
+          nop.m 999
+(p14)     frcpa.s1 f8,p10 = f1,f0  // If x=inf, y>0, assume result +inf
           nop.i 999
 }
 { .mfb
-(p14)     mov pow_GR_tag                     = 30
-(p13)     fma.s1 f8                          = f0,f0,f0
-(p12)     br.ret.spnt b0
-}
-;;
-
-   
-
-{ .mfb
           nop.m 999
-(p7)      fcmp.eq.unc.s1 p9,p0              = POW_float_int_Y,  POW_NORM_Y
-          nop.b 999
+(p13)     fma.s.s0 f8 = f0,f0,f0   // If x=inf, y<0, assume result +0.0
+(p12)     br.ret.spnt b0           // Exit if x=inf, y=inf
 }
 ;;
 
+// Here if x=inf, and 0 < |y| < inf.  Need to correct results if y odd integer.
 { .mfi
           nop.m 999
-          nop.f 999
-(p9)      tbit.nz.unc p11,p0                 = pow_GR_sig_int_Y,0
-}
-;;
-
-{ .mfb
-          nop.m 999
-(p11)     fmerge.s f8 = POW_NORM_X,f8
-          br.ret.sptk b0 
+(p7)      fcmp.eq.unc.s1 p9,p0 = POW_float_int_Y,  POW_NORM_Y // Is y integer?
+          nop.i 999
 }
 ;;
 
-
-
-L(POW_X_0_Y_NEG):
-// When X is +-0 and Y is negative, IEEE returns 
-// X     Y           answer
-// +0    -odd int    +inf
-// -0    -odd int    -inf
-
-// +0    !-odd int   +inf
-// -0    !-odd int   +inf
-
-
-// p6 == Y is a floating point number outside the integer.
-//       Hence it is an integer and is even.
-//       return +inf
-
-// p7 == Y is a floating point number within the integer range.
-//      p9  == (int_Y = NORM_Y), Y is an integer, which may be odd or even.
-//           p11 odd
-//              return (sign_of_x)inf
-//           p12 even
-//              return +inf
-//      p10 == Y is not an integer
-//         return +inf
-// 
-// 
-
 { .mfi
           nop.m 999
           nop.f 999
-          cmp.gt.unc  p6,p7                  = pow_GR_exp_Y, pow_GR_10033
-}
-;;
-
-
-{ .mfi
-          mov pow_GR_tag                     = 33
-(p7)      fcmp.eq.unc.s1 p9,p10              = POW_float_int_Y,  POW_NORM_Y
-          nop.i 999
-}
-;;
-
-
-{ .mfb
-          nop.m 999
-(p6)      frcpa.s0 f8,p13                       = f1, f0
-(p6)      br.cond.sptk __libm_error_region
+(p9)      tbit.nz.unc p11,p0 = pow_GR_sig_int_Y,0  // Test for y odd integer
 }
 ;;
 
 { .mfb
           nop.m 999
-(p10)     frcpa.s0 f8,p13                       = f1, f0
-(p10)     br.cond.sptk __libm_error_region
+(p11)     fmerge.s f8 = POW_NORM_X,f8    // If y odd integer use sign of x
+          br.ret.sptk b0                 // Exit for x=inf, 0 < |y| < inf
 }
 ;;
 
 
+POW_X_NEG_Y_NONINT:
+// When X is negative and Y is a non-integer, IEEE
+// returns a qnan indefinite.
+// We call error support with this value
 
-{ .mib
-          nop.m 999
-(p9)      tbit.nz.unc p11,p12                = pow_GR_sig_int_Y,0
-          nop.b 999
+{ .mfb
+         mov pow_GR_tag                 = 34
+         frcpa.s0 f8,p6                 = f0,f0
+         br.cond.sptk __libm_error_region
 }
 ;;
 
-
-
+POW_X_NAN:
+// Here if x=nan, y not nan
 { .mfi
-          nop.m 999
-(p12)     frcpa.s0 f8,p13                      = f1,f0
-          nop.i 999
-}
-;;
-
-{ .mfb
-          nop.m 999
-(p11)     frcpa f8,p13                      = f1,f8 
-          br.cond.sptk __libm_error_region
+         nop.m 999
+         fclass.m  p9,p13 = f9, 0x07 // Test y=zero
+         nop.i 999
 }
 ;;
 
-
-
-
-L(POW_X_NEG_Y_NONINT):
-// When X is negative and Y is a non-integer, IEEE
-// returns a qnan indefinite.
-// We call error support with this value 
-
 { .mfb
-         mov pow_GR_tag                     = 34
-         frcpa f8,p6                        = f0,f0
-         br.cond.sptk __libm_error_region
+         nop.m 999
+(p13)    fma.s.s0 f8 = f8,f1,f0
+(p13)    br.ret.sptk  b0            // Exit if x nan, y anything but zero or nan
 }
 ;;
 
-
-
-
-L(POW_X_NAN_Y_0):
+POW_X_NAN_Y_0:
 // When X is a NAN and Y is zero, IEEE returns 1.
 // We call error support with this value.
-
 { .mfi
-         nop.m 0
-         fma.s.s0 f10 = f8,f1,f0 
-         nop.i 0
+         nop.m 999
+         fcmp.eq.s0 p6,p0 = f8,f0       // Dummy op to set invalid on snan
+         nop.i 999
 }
 { .mfb
-         mov pow_GR_tag                     = 35
-         fma.s.s0 f8 = f0,f0,f1 
+         mov pow_GR_tag                 = 35
+         fma.s.s0 f8 = f0,f0,f1
          br.cond.sptk __libm_error_region
 }
 ;;
 
 
-L(POW_OVER_UNDER_X_NOT_INF):
+POW_OVER_UNDER_X_NOT_INF:
 
 // p8 is TRUE for overflow
 // p9 is TRUE for underflow
 
 // if y is infinity, we should not over/underflow
 
-
 { .mfi
           nop.m 999
-          fcmp.eq.unc.s1     p14, p13        = POW_xsq,f1
-          cmp.eq.unc p8,p9                   = pow_GR_sign_Y_Gpr, r0
+          fcmp.eq.s1     p14, p13       = POW_xsq,f1  // Test |x|=1
+          cmp.eq p8,p9                  = pow_GR_sign_Y_Gpr, r0
 }
 ;;
 
 { .mfi
           nop.m 999
-(p14)     fclass.m.unc       p15, p0         = f9, 0x23
+(p14)     fclass.m.unc       p15, p0    = f9, 0x23 // If |x|=1, test y=inf
           nop.i 999
 }
 { .mfi
           nop.m 999
-(p13)     fclass.m.unc       p11,p0         = f9, 0x23
+(p13)     fclass.m.unc       p11,p0     = f9, 0x23 // If |x| not 1, test y=inf
           nop.i 999
 }
 ;;
@@ -2137,31 +2045,33 @@ L(POW_OVER_UNDER_X_NOT_INF):
 // p15 = TRUE if |x|=1, y=inf, return +1
 { .mfb
           nop.m 999
-(p15)     fma.s              f8              = f1,f1,f0
-(p15)     br.ret.spnt b0
+(p15)     fma.s.s0          f8          = f1,f1,f0 // If |x|=1, y=inf, result +1
+(p15)     br.ret.spnt b0                // Exit if |x|=1, y=inf
 }
 ;;
 
 .pred.rel "mutex",p8,p9
 {  .mfb
-(p8)      setf.exp           f8              = pow_GR_17ones
-(p9)      fmerge.s           f8              = f0,f0
-(p11)     br.ret.sptk b0
+(p8)      setf.exp           f8 = pow_GR_17ones // If exp(+big), result inf
+(p9)      fmerge.s           f8 = f0,f0         // If exp(-big), result 0
+(p11)     br.ret.sptk b0                // Exit if |x| not 1, y=inf
 }
+;;
 
 { .mfb
           nop.m 999
           nop.f 999
-          br.cond.sptk L(POW_OVER_UNDER_ERROR)
+          br.cond.sptk POW_OVER_UNDER_ERROR // Branch if y not inf
 }
 ;;
 
-L(POW_Y_NAN):
 
-// Is x = +1 then result is +1, else result is quiet Y
+POW_Y_NAN:
+// Here if y=nan, x anything
+// If x = +1 then result is +1, else result is quiet Y
 { .mfi
        nop.m 999
-       fcmp.eq.s1         p10,p9               = POW_NORM_X, f1 
+       fcmp.eq.s1         p10,p9        = POW_NORM_X, f1
        nop.i 999
 }
 ;;
@@ -2175,148 +2085,117 @@ L(POW_Y_NAN):
 
 { .mfi
        nop.m 999
-(p10)  fma.s f8 = f1,f1,f0 
+(p10)  fma.s.s0 f8 = f1,f1,f0
        nop.i 999
 }
 { .mfb
        nop.m 999
-(p9)   fma.s f8 = f9,f8,f0 
-       br.ret.sptk b0
+(p9)   fma.s.s0 f8 = f9,f8,f0
+       br.ret.sptk b0             // Exit y=nan
 }
 ;;
 
 
-L(POW_OVER_UNDER_ERROR):
+POW_OVER_UNDER_ERROR:
+// Here if we have overflow or underflow.
+// Enter with p12 true if x negative and y odd int to force -0 or -inf
 
 { .mfi
-          nop.m 999
-          fmerge.s f10                      = POW_NORM_X,POW_NORM_X
-          nop.i 999
-}
-{ .mfi
-          sub   pow_GR_17ones_m1            = pow_GR_17ones, r0, 1
-          nop.f 999
-          mov pow_GR_one                    = 0x1
+         sub   pow_GR_17ones_m1         = pow_GR_17ones, r0, 1
+         nop.f 999
+         mov pow_GR_one                 = 0x1
 }
 ;;
 
-// overflow
+// overflow, force inf with O flag
 { .mmb
-(p8)     mov pow_GR_tag                     = 30
-(p8)     setf.exp f11                       = pow_GR_17ones_m1
+(p8)     mov pow_GR_tag                 = 30
+(p8)     setf.exp POW_tmp               = pow_GR_17ones_m1
          nop.b 999
 }
 ;;
 
-        
-// underflow
+// underflow, force zero with I, U flags
 { .mmi
-(p9)    mov pow_GR_tag                     = 31
-(p9)    setf.exp f11                       = pow_GR_one
+(p9)    mov pow_GR_tag                  = 31
+(p9)    setf.exp POW_tmp                = pow_GR_one
         nop.i 999
 }
 ;;
 
-
-// p12 x is negative and y is an odd integer 
-
-
 { .mfi
         nop.m 999
-        fma.s f8                               = f11, f11, f0
+        fma.s.s0 f8                     = POW_tmp, POW_tmp, f0
         nop.i 999
 }
 ;;
 
+// p12 x is negative and y is an odd integer, change sign of result
 { .mfi
         nop.m 999
-(p12)   fmerge.ns f8                           = f8, f8
+(p12)   fnma.s.s0 f8                    = POW_tmp, POW_tmp, f0
         nop.i 999
 }
 ;;
 
+GLOBAL_LIBM_END(powf)
 
-.endp powf
-ASM_SIZE_DIRECTIVE(powf)
-
-
-// Stack operations when calling error support.
-//       (1)               (2)                          (3) (call)              (4)
-//   sp   -> +          psp -> +                     psp -> +                   sp -> +
-//           |                 |                            |                         |
-//           |                 | <- GR_Y               R3 ->| <- GR_RESULT            | -> f8
-//           |                 |                            |                         |
-//           | <-GR_Y      Y2->|                       Y2 ->| <- GR_Y                 |
-//           |                 |                            |                         |
-//           |                 | <- GR_X               X1 ->|                         |
-//           |                 |                            |                         |
-//  sp-64 -> +          sp ->  +                     sp ->  +                         +
-//    save ar.pfs          save b0                                               restore gp
-//    save gp                                                                    restore ar.pfs
-
-
+LOCAL_LIBM_ENTRY(__libm_error_region)
 
-.proc __libm_error_region
-__libm_error_region:
-
-// Answer is inf for overflow and 0 for underflow.
 .prologue
-// (1)
 { .mfi
-        add   GR_Parameter_Y=-32,sp             // Parameter 2 value
+        add   GR_Parameter_Y=-32,sp     // Parameter 2 value
         nop.f 0
 .save   ar.pfs,GR_SAVE_PFS
-        mov  GR_SAVE_PFS=ar.pfs                 // Save ar.pfs
+        mov  GR_SAVE_PFS=ar.pfs         // Save ar.pfs
 }
 { .mfi
 .fframe 64
-        add sp=-64,sp                          // Create new stack
+        add sp=-64,sp                   // Create new stack
         nop.f 0
-        mov GR_SAVE_GP=gp                      // Save gp
+        mov GR_SAVE_GP=gp               // Save gp
 };;
 
-
-// (2)
 { .mmi
         stfs [GR_Parameter_Y] = POW_NORM_Y,16 // STORE Parameter 2 on stack
-        add GR_Parameter_X = 16,sp            // Parameter 1 address
+        add GR_Parameter_X = 16,sp      // Parameter 1 address
 .save   b0, GR_SAVE_B0
-        mov GR_SAVE_B0=b0                     // Save b0
+        mov GR_SAVE_B0=b0               // Save b0
 };;
 
 .body
-// (3)
 { .mib
-        stfs [GR_Parameter_X] = POW_NORM_X              // STORE Parameter 1 on stack
+        stfs [GR_Parameter_X] = POW_NORM_X // STORE Parameter 1 on stack
         add   GR_Parameter_RESULT = 0,GR_Parameter_Y    // Parameter 3 address
-        nop.b 0                                
+        nop.b 0
 }
 { .mib
-        stfs [GR_Parameter_Y] = f8                      // STORE Parameter 3 on stack
+        stfs [GR_Parameter_Y] = f8      // STORE Parameter 3 on stack
         add   GR_Parameter_Y = -16,GR_Parameter_Y
-        br.call.sptk b0=__libm_error_support#           // Call error handling function
+        br.call.sptk b0=__libm_error_support# // Call error handling function
 };;
+
 { .mmi
-        nop.m 0
-        nop.m 0
         add   GR_Parameter_RESULT = 48,sp
+        nop.m 0
+        nop.i 0
 };;
 
-// (4)
 { .mmi
-        ldfs  f8 = [GR_Parameter_RESULT]       // Get return result off stack
+        ldfs  f8 = [GR_Parameter_RESULT] // Get return result off stack
 .restore sp
-        add   sp = 64,sp                       // Restore stack pointer
-        mov   b0 = GR_SAVE_B0                  // Restore return address
+        add   sp = 64,sp                 // Restore stack pointer
+        mov   b0 = GR_SAVE_B0            // Restore return address
 };;
+
 { .mib
-        mov   gp = GR_SAVE_GP                  // Restore gp
-        mov   ar.pfs = GR_SAVE_PFS             // Restore ar.pfs
-        br.ret.sptk     b0                     // Return
+        mov   gp = GR_SAVE_GP            // Restore gp
+        mov   ar.pfs = GR_SAVE_PFS       // Restore ar.pfs
+        br.ret.sptk     b0               // Return
 };;
 
-.endp __libm_error_region
-ASM_SIZE_DIRECTIVE(__libm_error_region)
+LOCAL_LIBM_END(__libm_error_region)
 
 .type   __libm_error_support#,@function
 .global __libm_error_support#
+
diff --git a/sysdeps/ia64/fpu/e_powl.S b/sysdeps/ia64/fpu/e_powl.S
index d286e9abad..0896c19aac 100644
--- a/sysdeps/ia64/fpu/e_powl.S
+++ b/sysdeps/ia64/fpu/e_powl.S
@@ -1,10 +1,10 @@
 .file "powl.s"
 
-// Copyright (C) 2000, 2001, Intel Corporation
+
+// Copyright (c) 2000 - 2003, Intel Corporation
 // All rights reserved.
-// 
-// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story,
-// and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
 //
 // Redistribution and use in source and binary forms, with or without
 // modification, are permitted provided that the following conditions are
@@ -20,61 +20,69 @@
 // * The name of Intel Corporation may not be used to endorse or promote
 // products derived from this software without specific prior written
 // permission.
-//
-// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
-// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
-// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS 
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
 // CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
-// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, 
-// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 
-// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY 
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
 // OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
-// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 
-// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 
-// 
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+//
 // Intel Corporation is the author of this code, and requests that all
-// problem reports or change requests be submitted to it directly at 
-// http://developer.intel.com/opensource.
+// problem reports or change requests be submitted to it directly at
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
 //
-// *********************************************************************
+//*********************************************************************
 //
 // Function:   powl(x,y), where
-//                         y
+//                          y
 //             powl(x,y) = x , for double extended precision x and y values
 //
-// *********************************************************************
+//*********************************************************************
 //
-// History: 
-// 2/02/00  (Hand Optimized)
-// 4/04/00  Unwind support added
-// 8/15/00  Bundle added after call to __libm_error_support to properly
+// History:
+// 02/02/00 (Hand Optimized)
+// 04/04/00 Unwind support added
+// 08/15/00 Bundle added after call to __libm_error_support to properly
 //          set [the previously overwritten] GR_Parameter_RESULT.
-// 1/22/01  Corrected results for powl(1,inf), powl(1,nan), and
+// 01/22/01 Corrected results for powl(1,inf), powl(1,nan), and
 //          powl(snan,0) to be 1 per C99, not nan.  Fixed many flag settings.
-// 2/06/01  Call __libm_error support if over/underflow when y=2.
+// 02/06/01 Call __libm_error support if over/underflow when y=2.
+// 04/17/01 Support added for y close to 1 and x a non-special value.
+//          Shared software under/overflow detection for all paths
+// 02/07/02 Corrected sf3 setting to disable traps
+// 05/13/02 Improved performance of all paths
+// 02/10/03 Reordered header: .section, .global, .proc, .align;
+//          used data8 for long double table values
+// 04/17/03 Added missing mutex directive
 //
-// *********************************************************************
+//*********************************************************************
 //
 // Resources Used:
 //
-//    Floating-Point Registers: 
-//                        f8  (Input and Return Value)
-//                        f9-f15,f32-f63,f99 
+//    Floating-Point Registers:
+//                        f8  (Input x and Return Value)
+//                        f9  (Input y)
+//                        f10-f15,f32-f79
 //
 //    General Purpose Registers:
-//                        Locals r32 - r61
+//                        Locals r14-24,r32-r65
 //                        Parameters to __libm_error_support r62,r63,r64,r65
 //
 //    Predicate Registers: p6-p15
 //
-// *********************************************************************
+//*********************************************************************
 //
 //  Special Cases and IEEE special conditions:
 //
 //    Denormal fault raised on denormal inputs
-//    Overflow exceptions raised when appropriate for pow 
-//    Underflow exceptions raised when appropriate for pow 
+//    Overflow exceptions raised when appropriate for pow
+//    Underflow exceptions raised when appropriate for pow
 //    (Error Handling Routine called for overflow and Underflow)
 //    Inexact raised when appropriate by algorithm
 //
@@ -102,8 +110,8 @@
 //  22. X or Y denorm/unorm and denorm/unorm operand trap is enabled,
 //      generate denorm/unorm fault except if invalid or div_0 raised.
 //
-// *********************************************************************
-// 
+//*********************************************************************
+//
 //  Algorithm
 //  =========
 //
@@ -113,23 +121,23 @@
 //    If Y = 0.5,  return sqrt(X).
 //
 //  Compute log(X) to extra precision.
-//  
+//
 //  ker_log_80( X, logX_hi, logX_lo, Safe );
 //
-//   ...logX_hi + logX_lo approximates log(X) to roughly 80 
+//   ...logX_hi + logX_lo approximates log(X) to roughly 80
 //   ...significant bits of accuracy.
 //
 //  Compute Y*log(X) to extra precision.
 //
 //    P_hi := Y * logX_hi
-//    P_lo := Y * logX_hi - P_hi	...using FMA
-//    P_lo := Y * logX_lo + P_lo	...using FMA
+//    P_lo := Y * logX_hi - P_hi       ...using FMA
+//    P_lo := Y * logX_lo + P_lo       ...using FMA
 //
 //  Compute exp(P_hi + P_lo)
 //
-//    Flag := 2; 
+//    Flag := 2;
 //    Expo_Range := 2; (assuming double-extended power function)
-//    ker_exp_64( P_hi, P_lo, Flag, Expo_Range, 
+//    ker_exp_64( P_hi, P_lo, Flag, Expo_Range,
 //                Z_hi, Z_lo, scale, Safe )
 //
 //    scale := sgn * scale
@@ -138,7 +146,7 @@
 //       return scale*Z_hi + (scale*Z_lo)
 //       quickly
 //    Else
-//       take necessary precaution in computing 
+//       take necessary precaution in computing
 //       scale*Z_hi + (scale*Z_lo)
 //       to set possible exceptions correctly.
 //    End If
@@ -152,8 +160,8 @@
 //   If Y is qNaN, return Y without exception.
 //   If X is qNaN, return X without exception.
 //
-//   At this point, X is real and Y is +-inf. 
-//   Thus |X| can only be 1, strictly bigger than 1, or 
+//   At this point, X is real and Y is +-inf.
+//   Thus |X| can only be 1, strictly bigger than 1, or
 //   strictly less than 1.
 //
 //   If |X| < 1, then
@@ -169,8 +177,8 @@
 //   ...Note that Y is real, finite, non-zero, and not +1.
 //
 //   If X is qNaN, return X without exception.
-//    
-//   If X is +-0, 
+//
+//   If X is +-0,
 //   return ( Y > 0 ? +0 : +inf )
 //
 //   If X is +inf
@@ -180,11 +188,11 @@
 //   return -0 ** -Y
 //   return ( Y > 0 ? +inf : +0 )
 //
-//  Case_Invalid 
+//  Case_Invalid
 //
 //   Return 0 * inf to generate a quiet NaN together
 //   with an invalid exception.
-// 
+//
 //  Implementation
 //  ==============
 //
@@ -193,15 +201,15 @@
 //
 //  STAGE 1
 //  -------
-//   This stage contains two threads. 
+//   This stage contains two threads.
 //
 //   Stage1.Thread1
 //
 //     fclass.m   X_excep,  X_ok   = X, (NatVal or s/qNaN) or
-//				  +-0, +-infinity
+//                              +-0, +-infinity
 //
 //     fclass.nm  X_unsupp, X_supp = X, (NatVal or s/qNaN) or
-//				  +-(0, unnorm, norm, infinity)
+//                              +-(0, unnorm, norm, infinity)
 //
 //     X_norm := fnorm( X ) with traps disabled
 //
@@ -209,26 +217,26 @@
 //     If (X_unsupp) goto Filtering (Step 2)
 //
 //     Stage1.Thread2
-//     ..............    
+//     ..............
 //
 //     fclass.m   Y_excep,  Y_ok   = Y, (NatVal or s/qNaN) or
-//				  +-0, +-infinity
+//                              +-0, +-infinity
 //
 //     fclass.nm  Y_unsupp, Y_supp = Y, (NatVal or s/qNaN) or
-//				  +-(0, unnorm, norm, infinity)
+//                              +-(0, unnorm, norm, infinity)
 //
 //     Y_norm := fnorm( Y ) with traps disabled
 //
 //     If (Y_excep)  goto Filtering (Step 2)
 //     If (Y_unsupp) goto Filtering (Step 2)
 //
-// 
+//
 //  STAGE 2
 //  -------
 //  This stage contains two threads.
 //
-//     Stage2.Thread1		
-//     ..............	
+//     Stage2.Thread1
+//     ..............
 //
 //     Set X_lt_0 if X < 0 (using fcmp)
 //     sgn := +1.0
@@ -245,14 +253,14 @@
 //   This stage contains two threads.
 //
 //
-//   Stage3.Thread1		
-//   .............. 	
+//   Stage3.Thread1
+//   ..............
 //
 //     X := fnorm(X) in prevailing traps
 //
 //
-//     Stage3.Thread2		
-//     ..............	
+//     Stage3.Thread2
+//     ..............
 //
 //     Y := fnorm(Y) in prevailing traps
 //
@@ -262,60 +270,56 @@
 //   Go to Case_Normal.
 //
 
-#include "libm_support.h"
-
-#ifdef _LIBC
-.rodata
-#else
-.data
-#endif
-
-// Inv_L, L_hi, L_lo 
-.align 64
-Constants_exp_64_Arg:
-ASM_TYPE_DIRECTIVE(Constants_exp_64_Arg,@object)
-data4 0x5C17F0BC,0xB8AA3B29,0x0000400B,0x00000000 
-data4 0x00000000,0xB17217F4,0x00003FF2,0x00000000
-data4 0xF278ECE6,0xF473DE6A,0x00003FD4,0x00000000
-ASM_SIZE_DIRECTIVE(Constants_exp_64_Arg)
-
-.align 64
-Constants_exp_64_Exponents:
-ASM_TYPE_DIRECTIVE(Constants_exp_64_Exponents,@object)
-data4 0x0000007E,0x00000000,0xFFFFFF83,0xFFFFFFFF
-data4 0x000003FE,0x00000000,0xFFFFFC03,0xFFFFFFFF
-data4 0x00003FFE,0x00000000,0xFFFFC003,0xFFFFFFFF
-data4 0x00003FFE,0x00000000,0xFFFFC003,0xFFFFFFFF
-data4 0xFFFFFFE2,0xFFFFFFFF,0xFFFFFFC4,0xFFFFFFFF
-data4 0xFFFFFFBA,0xFFFFFFFF,0xFFFFFFBA,0xFFFFFFFF
-ASM_SIZE_DIRECTIVE(Constants_exp_64_Exponents)
-
-.align 64
-Constants_exp_64_A:
-ASM_TYPE_DIRECTIVE(Constants_exp_64_A,@object)
-// Reversed 
-data4 0xB1B736A0,0xAAAAAAAB,0x00003FFA,0x00000000
-data4 0x90CD6327,0xAAAAAAAB,0x00003FFC,0x00000000
-data4 0xFFFFFFFF,0xFFFFFFFF,0x00003FFD,0x00000000
-ASM_SIZE_DIRECTIVE(Constants_exp_64_A)
-
-.align 64
-Constants_exp_64_P:
-ASM_TYPE_DIRECTIVE(Constants_exp_64_P,@object)
-// Reversed 
-data4 0x43914A8A,0xD00D6C81,0x00003FF2,0x00000000
-data4 0x30304B30,0xB60BC4AC,0x00003FF5,0x00000000
-data4 0x7474C518,0x88888888,0x00003FF8,0x00000000
-data4 0x8DAE729D,0xAAAAAAAA,0x00003FFA,0x00000000
-data4 0xAAAAAF61,0xAAAAAAAA,0x00003FFC,0x00000000
-data4 0x000004C7,0x80000000,0x00003FFE,0x00000000
-ASM_SIZE_DIRECTIVE(Constants_exp_64_P)
-
-.align 64
-Constants_exp_64_T1:
-ASM_TYPE_DIRECTIVE(Constants_exp_64_T1,@object)
-data4 0x3F800000,0x3F8164D2,0x3F82CD87,0x3F843A29 
-data4 0x3F85AAC3,0x3F871F62,0x3F88980F,0x3F8A14D5 
+
+// ************* DO NOT CHANGE ORDER OF THESE TABLES ********************
+
+// double-extended 1/ln(2)
+// 3fff b8aa 3b29 5c17 f0bb be87fed0691d3e88
+// 3fff b8aa 3b29 5c17 f0bc
+// For speed the significand will be loaded directly with a movl and setf.sig
+//   and the exponent will be bias+63 instead of bias+0.  Thus subsequent
+//   computations need to scale appropriately.
+// The constant 2^12/ln(2) is needed for the computation of N.  This is also
+//   obtained by scaling the computations.
+//
+// Two shifting constants are loaded directly with movl and setf.d.
+//   1. RSHF_2TO51 = 1.1000..00 * 2^(63-12)
+//        This constant is added to x*1/ln2 to shift the integer part of
+//        x*2^12/ln2 into the rightmost bits of the significand.
+//        The result of this fma is N_signif.
+//   2. RSHF       = 1.1000..00 * 2^(63)
+//        This constant is subtracted from N_signif * 2^(-51) to give
+//        the integer part of N, N_fix, as a floating-point number.
+//        The result of this fms is float_N.
+RODATA
+
+.align 16
+// L_hi, L_lo
+LOCAL_OBJECT_START(Constants_exp_64_Arg)
+data8 0xB17217F400000000,0x00003FF2 // L_hi = hi part log(2)/2^12
+data8 0xF473DE6AF278ECE6,0x00003FD4 // L_lo = lo part log(2)/2^12
+LOCAL_OBJECT_END(Constants_exp_64_Arg)
+
+LOCAL_OBJECT_START(Constants_exp_64_A)
+// Reversed
+data8 0xAAAAAAABB1B736A0,0x00003FFA
+data8 0xAAAAAAAB90CD6327,0x00003FFC
+data8 0xFFFFFFFFFFFFFFFF,0x00003FFD
+LOCAL_OBJECT_END(Constants_exp_64_A)
+
+LOCAL_OBJECT_START(Constants_exp_64_P)
+// Reversed
+data8 0xD00D6C8143914A8A,0x00003FF2
+data8 0xB60BC4AC30304B30,0x00003FF5
+data8 0x888888887474C518,0x00003FF8
+data8 0xAAAAAAAA8DAE729D,0x00003FFA
+data8 0xAAAAAAAAAAAAAF61,0x00003FFC
+data8 0x80000000000004C7,0x00003FFE
+LOCAL_OBJECT_END(Constants_exp_64_P)
+
+LOCAL_OBJECT_START(Constants_exp_64_T1)
+data4 0x3F800000,0x3F8164D2,0x3F82CD87,0x3F843A29
+data4 0x3F85AAC3,0x3F871F62,0x3F88980F,0x3F8A14D5
 data4 0x3F8B95C2,0x3F8D1ADF,0x3F8EA43A,0x3F9031DC
 data4 0x3F91C3D3,0x3F935A2B,0x3F94F4F0,0x3F96942D
 data4 0x3F9837F0,0x3F99E046,0x3F9B8D3A,0x3F9D3EDA
@@ -330,274 +334,263 @@ data4 0x3FD744FD,0x3FD99D16,0x3FDBFBB8,0x3FDE60F5
 data4 0x3FE0CCDF,0x3FE33F89,0x3FE5B907,0x3FE8396A
 data4 0x3FEAC0C7,0x3FED4F30,0x3FEFE4BA,0x3FF28177
 data4 0x3FF5257D,0x3FF7D0DF,0x3FFA83B3,0x3FFD3E0C
-ASM_SIZE_DIRECTIVE(Constants_exp_64_T1)
-
-.align 64
-Constants_exp_64_T2:
-ASM_TYPE_DIRECTIVE(Constants_exp_64_T2,@object)
-data4 0x3F800000,0x3F80058C,0x3F800B18,0x3F8010A4 
-data4 0x3F801630,0x3F801BBD,0x3F80214A,0x3F8026D7 
-data4 0x3F802C64,0x3F8031F2,0x3F803780,0x3F803D0E 
-data4 0x3F80429C,0x3F80482B,0x3F804DB9,0x3F805349 
-data4 0x3F8058D8,0x3F805E67,0x3F8063F7,0x3F806987 
-data4 0x3F806F17,0x3F8074A8,0x3F807A39,0x3F807FCA 
-data4 0x3F80855B,0x3F808AEC,0x3F80907E,0x3F809610 
-data4 0x3F809BA2,0x3F80A135,0x3F80A6C7,0x3F80AC5A 
-data4 0x3F80B1ED,0x3F80B781,0x3F80BD14,0x3F80C2A8 
-data4 0x3F80C83C,0x3F80CDD1,0x3F80D365,0x3F80D8FA 
-data4 0x3F80DE8F,0x3F80E425,0x3F80E9BA,0x3F80EF50 
-data4 0x3F80F4E6,0x3F80FA7C,0x3F810013,0x3F8105AA 
-data4 0x3F810B41,0x3F8110D8,0x3F81166F,0x3F811C07 
-data4 0x3F81219F,0x3F812737,0x3F812CD0,0x3F813269 
-data4 0x3F813802,0x3F813D9B,0x3F814334,0x3F8148CE 
+LOCAL_OBJECT_END(Constants_exp_64_T1)
+
+LOCAL_OBJECT_START(Constants_exp_64_T2)
+data4 0x3F800000,0x3F80058C,0x3F800B18,0x3F8010A4
+data4 0x3F801630,0x3F801BBD,0x3F80214A,0x3F8026D7
+data4 0x3F802C64,0x3F8031F2,0x3F803780,0x3F803D0E
+data4 0x3F80429C,0x3F80482B,0x3F804DB9,0x3F805349
+data4 0x3F8058D8,0x3F805E67,0x3F8063F7,0x3F806987
+data4 0x3F806F17,0x3F8074A8,0x3F807A39,0x3F807FCA
+data4 0x3F80855B,0x3F808AEC,0x3F80907E,0x3F809610
+data4 0x3F809BA2,0x3F80A135,0x3F80A6C7,0x3F80AC5A
+data4 0x3F80B1ED,0x3F80B781,0x3F80BD14,0x3F80C2A8
+data4 0x3F80C83C,0x3F80CDD1,0x3F80D365,0x3F80D8FA
+data4 0x3F80DE8F,0x3F80E425,0x3F80E9BA,0x3F80EF50
+data4 0x3F80F4E6,0x3F80FA7C,0x3F810013,0x3F8105AA
+data4 0x3F810B41,0x3F8110D8,0x3F81166F,0x3F811C07
+data4 0x3F81219F,0x3F812737,0x3F812CD0,0x3F813269
+data4 0x3F813802,0x3F813D9B,0x3F814334,0x3F8148CE
 data4 0x3F814E68,0x3F815402,0x3F81599C,0x3F815F37
-ASM_SIZE_DIRECTIVE(Constants_exp_64_T2)
-  
-.align 64
-Constants_exp_64_W1:
-ASM_TYPE_DIRECTIVE(Constants_exp_64_W1,@object)
-data4 0x00000000,0x00000000,0x171EC4B4,0xBE384454
-data4 0x4AA72766,0xBE694741,0xD42518F8,0xBE5D32B6
-data4 0x3A319149,0x3E68D96D,0x62415F36,0xBE68F4DA
-data4 0xC9C86A3B,0xBE6DDA2F,0xF49228FE,0x3E6B2E50
-data4 0x1188B886,0xBE49C0C2,0x1A4C2F1F,0x3E64BFC2
-data4 0x2CB98B54,0xBE6A2FBB,0x9A55D329,0x3E5DC5DE
-data4 0x39A7AACE,0x3E696490,0x5C66DBA5,0x3E54728B
-data4 0xBA1C7D7D,0xBE62B0DB,0x09F1AF5F,0x3E576E04
-data4 0x1A0DD6A1,0x3E612500,0x795FBDEF,0xBE66A419
-data4 0xE1BD41FC,0xBE5CDE8C,0xEA54964F,0xBE621376
-data4 0x476E76EE,0x3E6370BE,0x3427EB92,0x3E390D1A 
-data4 0x2BF82BF8,0x3E1336DE,0xD0F7BD9E,0xBE5FF1CB 
-data4 0x0CEB09DD,0xBE60A355,0x0980F30D,0xBE5CA37E 
-data4 0x4C082D25,0xBE5C541B,0x3B467D29,0xBE5BBECA 
-data4 0xB9D946C5,0xBE400D8A,0x07ED374A,0xBE5E2A08 
-data4 0x365C8B0A,0xBE66CB28,0xD3403BCA,0x3E3AAD5B 
-data4 0xC7EA21E0,0x3E526055,0xE72880D6,0xBE442C75 
-data4 0x85222A43,0x3E58B2BB,0x522C42BF,0xBE5AAB79 
-data4 0x469DC2BC,0xBE605CB4,0xA48C40DC,0xBE589FA7 
-data4 0x1AA42614,0xBE51C214,0xC37293F4,0xBE48D087 
-data4 0xA2D673E0,0x3E367A1C,0x114F7A38,0xBE51BEBB 
-data4 0x661A4B48,0xBE6348E5,0x1D3B9962,0xBDF52643  
-data4 0x35A78A53,0x3E3A3B5E,0x1CECD788,0xBE46C46C 
-data4 0x7857D689,0xBE60B7EC,0xD14F1AD7,0xBE594D3D 
-data4 0x4C9A8F60,0xBE4F9C30,0x02DFF9D2,0xBE521873 
-data4 0x55E6D68F,0xBE5E4C88,0x667F3DC4,0xBE62140F 
-data4 0x3BF88747,0xBE36961B,0xC96EC6AA,0x3E602861 
-data4 0xD57FD718,0xBE3B5151,0xFC4A627B,0x3E561CD0 
-data4 0xCA913FEA,0xBE3A5217,0x9A5D193A,0x3E40A3CC 
-data4 0x10A9C312,0xBE5AB713,0xC5F57719,0x3E4FDADB 
-data4 0xDBDF59D5,0x3E361428,0x61B4180D,0x3E5DB5DB 
-data4 0x7408D856,0xBE42AD5F,0x31B2B707,0x3E2A3148
-ASM_SIZE_DIRECTIVE(Constants_exp_64_W1)
-
-.align 64
-Constants_exp_64_W2:
-ASM_TYPE_DIRECTIVE(Constants_exp_64_W2,@object)
-data4 0x00000000,0x00000000,0x37A3D7A2,0xBE641F25 
-data4 0xAD028C40,0xBE68DD57,0xF212B1B6,0xBE5C77D8 
-data4 0x1BA5B070,0x3E57878F,0x2ECAE6FE,0xBE55A36A 
-data4 0x569DFA3B,0xBE620608,0xA6D300A3,0xBE53B50E 
-data4 0x223F8F2C,0x3E5B5EF2,0xD6DE0DF4,0xBE56A0D9 
-data4 0xEAE28F51,0xBE64EEF3,0x367EA80B,0xBE5E5AE2 
-data4 0x5FCBC02D,0x3E47CB1A,0x9BDAFEB7,0xBE656BA0 
-data4 0x805AFEE7,0x3E6E70C6,0xA3415EBA,0xBE6E0509 
-data4 0x49BFF529,0xBE56856B,0x00508651,0x3E66DD33 
-data4 0xC114BC13,0x3E51165F,0xC453290F,0x3E53333D 
-data4 0x05539FDA,0x3E6A072B,0x7C0A7696,0xBE47CD87 
-data4 0xEB05C6D9,0xBE668BF4,0x6AE86C93,0xBE67C3E3 
-data4 0xD0B3E84B,0xBE533904,0x556B53CE,0x3E63E8D9 
-data4 0x63A98DC8,0x3E212C89,0x032A7A22,0xBE33138F 
-data4 0xBC584008,0x3E530FA9,0xCCB93C97,0xBE6ADF82 
-data4 0x8370EA39,0x3E5F9113,0xFB6A05D8,0x3E5443A4 
-data4 0x181FEE7A,0x3E63DACD,0xF0F67DEC,0xBE62B29D 
-data4 0x3DDE6307,0x3E65C483,0xD40A24C1,0x3E5BF030  
-data4 0x14E437BE,0x3E658B8F,0xED98B6C7,0xBE631C29 
-data4 0x04CF7C71,0x3E6335D2,0xE954A79D,0x3E529EED
-data4 0xF64A2FB8,0x3E5D9257,0x854ED06C,0xBE6BED1B 
-data4 0xD71405CB,0x3E5096F6,0xACB9FDF5,0xBE3D4893 
-data4 0x01B68349,0xBDFEB158,0xC6A463B9,0x3E628D35 
-data4 0xADE45917,0xBE559725,0x042FC476,0xBE68C29C 
-data4 0x01E511FA,0xBE67593B,0x398801ED,0xBE4A4313 
-data4 0xDA7C3300,0x3E699571,0x08062A9E,0x3E5349BE 
-data4 0x755BB28E,0x3E5229C4,0x77A1F80D,0x3E67E426 
-data4 0x6B69C352,0xBE52B33F,0x084DA57F,0xBE6B3550 
-data4 0xD1D09A20,0xBE6DB03F,0x2161B2C1,0xBE60CBC4 
-data4 0x78A2B771,0x3E56ED9C,0x9D0FA795,0xBE508E31 
-data4 0xFD1A54E9,0xBE59482A,0xB07FD23E,0xBE2A17CE 
-data4 0x17365712,0x3E68BF5C,0xB3785569,0x3E3956F9
-ASM_SIZE_DIRECTIVE(Constants_exp_64_W2)
-
-.align 64
-Constants_log_80_P:
-ASM_TYPE_DIRECTIVE(Constants_log_80_P,@object)
-// 1/2, P_8, P_7, ..., P_1  
-data4 0x00000000, 0x80000000, 0x00003FFE, 0x00000000
-data4 0x3B1042BC, 0xCCCE8B88, 0x0000BFFB, 0x00000000
-data4 0xCADC2149, 0xE38997B7, 0x00003FFB, 0x00000000
-data4 0xB1ACB090, 0xFFFFFFFE, 0x0000BFFB, 0x00000000
-data4 0x06481C81, 0x92492498, 0x00003FFC, 0x00000000
-data4 0xAAAAB0EF, 0xAAAAAAAA, 0x0000BFFC, 0x00000000
-data4 0xCCC91416, 0xCCCCCCCC, 0x00003FFC, 0x00000000
-data4 0x00000000, 0x80000000, 0x0000BFFD, 0x00000000
-data4 0xAAAAAAAB, 0xAAAAAAAA, 0x00003FFD
-ASM_SIZE_DIRECTIVE(Constants_log_80_P)
-
-.align 64
-Constants_log_80_Q:
-ASM_TYPE_DIRECTIVE(Constants_log_80_Q,@object)
-// log2_hi, log2_lo, Q_6, Q_5, Q_4, Q_3, Q_2, Q_1 
-data4 0x00000000,0xB1721800,0x00003FFE,0x00000000
-data4 0x4361C4C6,0x82E30865,0x0000BFE2,0x00000000
-data4 0xA51BE0AF,0x92492453,0x00003FFC,0x00000000
-data4 0xA0CFD29F,0xAAAAAB73,0x0000BFFC,0x00000000
-data4 0xCCCE3872,0xCCCCCCCC,0x00003FFC,0x00000000
-data4 0xFFFFB4FB,0xFFFFFFFF,0x0000BFFC,0x00000000
-data4 0xAAAAAAAB,0xAAAAAAAA,0x00003FFD,0x00000000
-data4 0x00000000,0x80000000,0x0000BFFE,0x00000000
-ASM_SIZE_DIRECTIVE(Constants_log_80_Q)
-
-.align 64
-Constants_log_80_Z_G_H_h1:
-ASM_TYPE_DIRECTIVE(Constants_log_80_Z_G_H_h1,@object)
-// Z1 - 16 bit fixed, G1 and H1 IEEE single, h1 IEEE double   
+LOCAL_OBJECT_END(Constants_exp_64_T2)
+
+LOCAL_OBJECT_START(Constants_exp_64_W1)
+data8 0x0000000000000000, 0xBE384454171EC4B4
+data8 0xBE6947414AA72766, 0xBE5D32B6D42518F8
+data8 0x3E68D96D3A319149, 0xBE68F4DA62415F36
+data8 0xBE6DDA2FC9C86A3B, 0x3E6B2E50F49228FE
+data8 0xBE49C0C21188B886, 0x3E64BFC21A4C2F1F
+data8 0xBE6A2FBB2CB98B54, 0x3E5DC5DE9A55D329
+data8 0x3E69649039A7AACE, 0x3E54728B5C66DBA5
+data8 0xBE62B0DBBA1C7D7D, 0x3E576E0409F1AF5F
+data8 0x3E6125001A0DD6A1, 0xBE66A419795FBDEF
+data8 0xBE5CDE8CE1BD41FC, 0xBE621376EA54964F
+data8 0x3E6370BE476E76EE, 0x3E390D1A3427EB92
+data8 0x3E1336DE2BF82BF8, 0xBE5FF1CBD0F7BD9E
+data8 0xBE60A3550CEB09DD, 0xBE5CA37E0980F30D
+data8 0xBE5C541B4C082D25, 0xBE5BBECA3B467D29
+data8 0xBE400D8AB9D946C5, 0xBE5E2A0807ED374A
+data8 0xBE66CB28365C8B0A, 0x3E3AAD5BD3403BCA
+data8 0x3E526055C7EA21E0, 0xBE442C75E72880D6
+data8 0x3E58B2BB85222A43, 0xBE5AAB79522C42BF
+data8 0xBE605CB4469DC2BC, 0xBE589FA7A48C40DC
+data8 0xBE51C2141AA42614, 0xBE48D087C37293F4
+data8 0x3E367A1CA2D673E0, 0xBE51BEBB114F7A38
+data8 0xBE6348E5661A4B48, 0xBDF526431D3B9962
+data8 0x3E3A3B5E35A78A53, 0xBE46C46C1CECD788
+data8 0xBE60B7EC7857D689, 0xBE594D3DD14F1AD7
+data8 0xBE4F9C304C9A8F60, 0xBE52187302DFF9D2
+data8 0xBE5E4C8855E6D68F, 0xBE62140F667F3DC4
+data8 0xBE36961B3BF88747, 0x3E602861C96EC6AA
+data8 0xBE3B5151D57FD718, 0x3E561CD0FC4A627B
+data8 0xBE3A5217CA913FEA, 0x3E40A3CC9A5D193A
+data8 0xBE5AB71310A9C312, 0x3E4FDADBC5F57719
+data8 0x3E361428DBDF59D5, 0x3E5DB5DB61B4180D
+data8 0xBE42AD5F7408D856, 0x3E2A314831B2B707
+LOCAL_OBJECT_END(Constants_exp_64_W1)
+
+LOCAL_OBJECT_START(Constants_exp_64_W2)
+data8 0x0000000000000000, 0xBE641F2537A3D7A2
+data8 0xBE68DD57AD028C40, 0xBE5C77D8F212B1B6
+data8 0x3E57878F1BA5B070, 0xBE55A36A2ECAE6FE
+data8 0xBE620608569DFA3B, 0xBE53B50EA6D300A3
+data8 0x3E5B5EF2223F8F2C, 0xBE56A0D9D6DE0DF4
+data8 0xBE64EEF3EAE28F51, 0xBE5E5AE2367EA80B
+data8 0x3E47CB1A5FCBC02D, 0xBE656BA09BDAFEB7
+data8 0x3E6E70C6805AFEE7, 0xBE6E0509A3415EBA
+data8 0xBE56856B49BFF529, 0x3E66DD3300508651
+data8 0x3E51165FC114BC13, 0x3E53333DC453290F
+data8 0x3E6A072B05539FDA, 0xBE47CD877C0A7696
+data8 0xBE668BF4EB05C6D9, 0xBE67C3E36AE86C93
+data8 0xBE533904D0B3E84B, 0x3E63E8D9556B53CE
+data8 0x3E212C8963A98DC8, 0xBE33138F032A7A22
+data8 0x3E530FA9BC584008, 0xBE6ADF82CCB93C97
+data8 0x3E5F91138370EA39, 0x3E5443A4FB6A05D8
+data8 0x3E63DACD181FEE7A, 0xBE62B29DF0F67DEC
+data8 0x3E65C4833DDE6307, 0x3E5BF030D40A24C1
+data8 0x3E658B8F14E437BE, 0xBE631C29ED98B6C7
+data8 0x3E6335D204CF7C71, 0x3E529EEDE954A79D
+data8 0x3E5D9257F64A2FB8, 0xBE6BED1B854ED06C
+data8 0x3E5096F6D71405CB, 0xBE3D4893ACB9FDF5
+data8 0xBDFEB15801B68349, 0x3E628D35C6A463B9
+data8 0xBE559725ADE45917, 0xBE68C29C042FC476
+data8 0xBE67593B01E511FA, 0xBE4A4313398801ED
+data8 0x3E699571DA7C3300, 0x3E5349BE08062A9E
+data8 0x3E5229C4755BB28E, 0x3E67E42677A1F80D
+data8 0xBE52B33F6B69C352, 0xBE6B3550084DA57F
+data8 0xBE6DB03FD1D09A20, 0xBE60CBC42161B2C1
+data8 0x3E56ED9C78A2B771, 0xBE508E319D0FA795
+data8 0xBE59482AFD1A54E9, 0xBE2A17CEB07FD23E
+data8 0x3E68BF5C17365712, 0x3E3956F9B3785569
+LOCAL_OBJECT_END(Constants_exp_64_W2)
+
+LOCAL_OBJECT_START(Constants_log_80_P)
+// P_8, P_7, ..., P_1
+data8 0xCCCE8B883B1042BC, 0x0000BFFB // P_8
+data8 0xE38997B7CADC2149, 0x00003FFB // P_7
+data8 0xFFFFFFFEB1ACB090, 0x0000BFFB // P_6
+data8 0x9249249806481C81, 0x00003FFC // P_5
+data8 0x0000000000000000, 0x00000000 // Pad for bank conflicts
+data8 0xAAAAAAAAAAAAB0EF, 0x0000BFFC // P_4
+data8 0xCCCCCCCCCCC91416, 0x00003FFC // P_3
+data8 0x8000000000000000, 0x0000BFFD // P_2
+data8 0xAAAAAAAAAAAAAAAB, 0x00003FFD // P_1
+LOCAL_OBJECT_END(Constants_log_80_P)
+
+LOCAL_OBJECT_START(Constants_log_80_Q)
+// log2_hi, log2_lo, Q_6, Q_5, Q_4, Q_3, Q_2, Q_1
+data8 0xB172180000000000,0x00003FFE
+data8 0x82E308654361C4C6,0x0000BFE2
+data8 0x92492453A51BE0AF,0x00003FFC
+data8 0xAAAAAB73A0CFD29F,0x0000BFFC
+data8 0xCCCCCCCCCCCE3872,0x00003FFC
+data8 0xFFFFFFFFFFFFB4FB,0x0000BFFC
+data8 0xAAAAAAAAAAAAAAAB,0x00003FFD
+data8 0x8000000000000000,0x0000BFFE
+LOCAL_OBJECT_END(Constants_log_80_Q)
+
+LOCAL_OBJECT_START(Constants_log_80_Z_G_H_h1)
+// Z1 - 16 bit fixed, G1 and H1 IEEE single, h1 IEEE double
 data4 0x00008000,0x3F800000,0x00000000,0x00000000
-data4 0x00000000,0x00000000,0x00000000,0x00000000 
+data4 0x00000000,0x00000000,0x00000000,0x00000000
 data4 0x00007879,0x3F70F0F0,0x3D785196,0x00000000
 data4 0xEBA0E0D1,0x8B1D330B,0x00003FDA,0x00000000
 data4 0x000071C8,0x3F638E38,0x3DF13843,0x00000000
 data4 0x9EADD553,0xE2AF365E,0x00003FE2,0x00000000
 data4 0x00006BCB,0x3F579430,0x3E2FF9A0,0x00000000
-data4 0x752F34A2,0xF585FEC3,0x0000BFE3,0x00000000  
+data4 0x752F34A2,0xF585FEC3,0x0000BFE3,0x00000000
 data4 0x00006667,0x3F4CCCC8,0x3E647FD6,0x00000000
-data4 0x893B03F3,0xF3546435,0x00003FE2,0x00000000  
-data4 0x00006187,0x3F430C30,0x3E8B3AE7,0x00000000 
-data4 0x39CDD2AC,0xBABA62E0,0x00003FE4,0x00000000 
-data4 0x00005D18,0x3F3A2E88,0x3EA30C68,0x00000000 
+data4 0x893B03F3,0xF3546435,0x00003FE2,0x00000000
+data4 0x00006187,0x3F430C30,0x3E8B3AE7,0x00000000
+data4 0x39CDD2AC,0xBABA62E0,0x00003FE4,0x00000000
+data4 0x00005D18,0x3F3A2E88,0x3EA30C68,0x00000000
 data4 0x457978A1,0x8718789F,0x00003FE2,0x00000000
-data4 0x0000590C,0x3F321640,0x3EB9CEC8,0x00000000 
-data4 0x3185E56A,0x9442DF96,0x0000BFE4,0x00000000 
-data4 0x00005556,0x3F2AAAA8,0x3ECF9927,0x00000000 
-data4 0x2BBE2CBD,0xCBF9A4BF,0x00003FE4,0x00000000 
-data4 0x000051EC,0x3F23D708,0x3EE47FC5,0x00000000 
-data4 0x852D5935,0xF3537535,0x00003FE3,0x00000000 
-data4 0x00004EC5,0x3F1D89D8,0x3EF8947D,0x00000000 
-data4 0x46CDF32F,0xA1F1E699,0x0000BFDF,0x00000000 
-data4 0x00004BDB,0x3F17B420,0x3F05F3A1,0x00000000 
-data4 0xD8484CE3,0x84A61856,0x00003FE4,0x00000000 
+data4 0x0000590C,0x3F321640,0x3EB9CEC8,0x00000000
+data4 0x3185E56A,0x9442DF96,0x0000BFE4,0x00000000
+data4 0x00005556,0x3F2AAAA8,0x3ECF9927,0x00000000
+data4 0x2BBE2CBD,0xCBF9A4BF,0x00003FE4,0x00000000
+data4 0x000051EC,0x3F23D708,0x3EE47FC5,0x00000000
+data4 0x852D5935,0xF3537535,0x00003FE3,0x00000000
+data4 0x00004EC5,0x3F1D89D8,0x3EF8947D,0x00000000
+data4 0x46CDF32F,0xA1F1E699,0x0000BFDF,0x00000000
+data4 0x00004BDB,0x3F17B420,0x3F05F3A1,0x00000000
+data4 0xD8484CE3,0x84A61856,0x00003FE4,0x00000000
 data4 0x00004925,0x3F124920,0x3F0F4303,0x00000000
-data4 0xFF28821B,0xC7DD97E0,0x0000BFE2,0x00000000    
-data4 0x0000469F,0x3F0D3DC8,0x3F183EBF,0x00000000 
-data4 0xEF1FD32F,0xD3C4A887,0x00003FE3,0x00000000  
-data4 0x00004445,0x3F088888,0x3F20EC80,0x00000000 
-data4 0x464C76DA,0x84672BE6,0x00003FE5,0x00000000 
+data4 0xFF28821B,0xC7DD97E0,0x0000BFE2,0x00000000
+data4 0x0000469F,0x3F0D3DC8,0x3F183EBF,0x00000000
+data4 0xEF1FD32F,0xD3C4A887,0x00003FE3,0x00000000
+data4 0x00004445,0x3F088888,0x3F20EC80,0x00000000
+data4 0x464C76DA,0x84672BE6,0x00003FE5,0x00000000
 data4 0x00004211,0x3F042108,0x3F29516A,0x00000000
-data4 0x18835FB9,0x9A43A511,0x0000BFE5,0x00000000 
-ASM_SIZE_DIRECTIVE(Constants_log_80_Z_G_H_h1)
-
-.align 64
-Constants_log_80_Z_G_H_h2:
-ASM_TYPE_DIRECTIVE(Constants_log_80_Z_G_H_h2,@object)
-// Z2 - 16 bit fixed, G2 and H2 IEEE single, h2 IEEE double   
-data4 0x00008000,0x3F800000,0x00000000,0x00000000 
-data4 0x00000000,0x00000000,0x00000000,0x00000000 
-data4 0x00007F81,0x3F7F00F8,0x3B7F875D,0x00000000 
+data4 0x18835FB9,0x9A43A511,0x0000BFE5,0x00000000
+LOCAL_OBJECT_END(Constants_log_80_Z_G_H_h1)
+
+LOCAL_OBJECT_START(Constants_log_80_Z_G_H_h2)
+// Z2 - 16 bit fixed, G2 and H2 IEEE single, h2 IEEE double
+data4 0x00008000,0x3F800000,0x00000000,0x00000000
+data4 0x00000000,0x00000000,0x00000000,0x00000000
+data4 0x00007F81,0x3F7F00F8,0x3B7F875D,0x00000000
 data4 0x211398BF,0xAD08B116,0x00003FDB,0x00000000
-data4 0x00007F02,0x3F7E03F8,0x3BFF015B,0x00000000 
-data4 0xC376958E,0xB106790F,0x00003FDE,0x00000000 
-data4 0x00007E85,0x3F7D08E0,0x3C3EE393,0x00000000 
-data4 0x79A7679A,0xFD03F242,0x0000BFDA,0x00000000 
-data4 0x00007E08,0x3F7C0FC0,0x3C7E0586,0x00000000 
-data4 0x05E7AE08,0xF03F81C3,0x0000BFDF,0x00000000 
-data4 0x00007D8D,0x3F7B1880,0x3C9E75D2,0x00000000 
+data4 0x00007F02,0x3F7E03F8,0x3BFF015B,0x00000000
+data4 0xC376958E,0xB106790F,0x00003FDE,0x00000000
+data4 0x00007E85,0x3F7D08E0,0x3C3EE393,0x00000000
+data4 0x79A7679A,0xFD03F242,0x0000BFDA,0x00000000
+data4 0x00007E08,0x3F7C0FC0,0x3C7E0586,0x00000000
+data4 0x05E7AE08,0xF03F81C3,0x0000BFDF,0x00000000
+data4 0x00007D8D,0x3F7B1880,0x3C9E75D2,0x00000000
 data4 0x049EB22F,0xD1B87D3C,0x00003FDE,0x00000000
-data4 0x00007D12,0x3F7A2328,0x3CBDC97A,0x00000000 
-data4 0x3A9E81E0,0xFABC8B95,0x00003FDF,0x00000000 
+data4 0x00007D12,0x3F7A2328,0x3CBDC97A,0x00000000
+data4 0x3A9E81E0,0xFABC8B95,0x00003FDF,0x00000000
 data4 0x00007C98,0x3F792FB0,0x3CDCFE47,0x00000000
-data4 0x7C4B5443,0xF5F3653F,0x00003FDF,0x00000000 
-data4 0x00007C20,0x3F783E08,0x3CFC15D0,0x00000000 
-data4 0xF65A1773,0xE78AB204,0x00003FE0,0x00000000  
-data4 0x00007BA8,0x3F774E38,0x3D0D874D,0x00000000 
-data4 0x7B8EF695,0xDB7CBFFF,0x0000BFE0,0x00000000 
-data4 0x00007B31,0x3F766038,0x3D1CF49B,0x00000000 
-data4 0xCF773FB3,0xC0241AEA,0x0000BFE0,0x00000000 
-data4 0x00007ABB,0x3F757400,0x3D2C531D,0x00000000 
-data4 0xC9539FDF,0xFC8F4D48,0x00003FE1,0x00000000  
-data4 0x00007A45,0x3F748988,0x3D3BA322,0x00000000 
-data4 0x954665C2,0x9CD035FB,0x0000BFE1,0x00000000  
-data4 0x000079D1,0x3F73A0D0,0x3D4AE46F,0x00000000 
-data4 0xDD367A30,0xEC9017C7,0x00003FE1,0x00000000 
-data4 0x0000795D,0x3F72B9D0,0x3D5A1756,0x00000000 
-data4 0xCB11189C,0xEE6625D3,0x0000BFE1,0x00000000 
-data4 0x000078EB,0x3F71D488,0x3D693B9D,0x00000000 
+data4 0x7C4B5443,0xF5F3653F,0x00003FDF,0x00000000
+data4 0x00007C20,0x3F783E08,0x3CFC15D0,0x00000000
+data4 0xF65A1773,0xE78AB204,0x00003FE0,0x00000000
+data4 0x00007BA8,0x3F774E38,0x3D0D874D,0x00000000
+data4 0x7B8EF695,0xDB7CBFFF,0x0000BFE0,0x00000000
+data4 0x00007B31,0x3F766038,0x3D1CF49B,0x00000000
+data4 0xCF773FB3,0xC0241AEA,0x0000BFE0,0x00000000
+data4 0x00007ABB,0x3F757400,0x3D2C531D,0x00000000
+data4 0xC9539FDF,0xFC8F4D48,0x00003FE1,0x00000000
+data4 0x00007A45,0x3F748988,0x3D3BA322,0x00000000
+data4 0x954665C2,0x9CD035FB,0x0000BFE1,0x00000000
+data4 0x000079D1,0x3F73A0D0,0x3D4AE46F,0x00000000
+data4 0xDD367A30,0xEC9017C7,0x00003FE1,0x00000000
+data4 0x0000795D,0x3F72B9D0,0x3D5A1756,0x00000000
+data4 0xCB11189C,0xEE6625D3,0x0000BFE1,0x00000000
+data4 0x000078EB,0x3F71D488,0x3D693B9D,0x00000000
 data4 0xBE11C424,0xA49C8DB5,0x0000BFE0,0x00000000
-ASM_SIZE_DIRECTIVE(Constants_log_80_Z_G_H_h2)
- 
-.align 64
-Constants_log_80_h3_G_H:
-ASM_TYPE_DIRECTIVE(Constants_log_80_h3_G_H,@object)
-// h3 IEEE double extended, H3 and G3 IEEE single   
-data4 0x112666B0,0xAAACAAB1,0x00003FD3,0x3F7FFC00 
+LOCAL_OBJECT_END(Constants_log_80_Z_G_H_h2)
+
+LOCAL_OBJECT_START(Constants_log_80_h3_G_H)
+// h3 IEEE double extended, H3 and G3 IEEE single
+data4 0x112666B0,0xAAACAAB1,0x00003FD3,0x3F7FFC00
 data4 0x9B7FAD21,0x90051030,0x00003FD8,0x3F7FF400
-data4 0xF4D783C4,0xA6B46F46,0x00003FDA,0x3F7FEC00 
-data4 0x11C6DDCA,0xDA148D88,0x0000BFD8,0x3F7FE400 
+data4 0xF4D783C4,0xA6B46F46,0x00003FDA,0x3F7FEC00
+data4 0x11C6DDCA,0xDA148D88,0x0000BFD8,0x3F7FE400
 data4 0xCA964D95,0xCE65C1D8,0x0000BFD8,0x3F7FDC00
-data4 0x23412D13,0x883838EE,0x0000BFDB,0x3F7FD400 
-data4 0x983ED687,0xB7E5CFA1,0x00003FDB,0x3F7FCC08 
-data4 0xE3C3930B,0xDBE23B16,0x0000BFD9,0x3F7FC408 
-data4 0x48AA4DFC,0x9B92F1FC,0x0000BFDC,0x3F7FBC10 
-data4 0xCE9C8F7E,0x9A8CEB15,0x0000BFD9,0x3F7FB410 
-data4 0x0DECE74A,0x8C220879,0x00003FDC,0x3F7FAC18 
+data4 0x23412D13,0x883838EE,0x0000BFDB,0x3F7FD400
+data4 0x983ED687,0xB7E5CFA1,0x00003FDB,0x3F7FCC08
+data4 0xE3C3930B,0xDBE23B16,0x0000BFD9,0x3F7FC408
+data4 0x48AA4DFC,0x9B92F1FC,0x0000BFDC,0x3F7FBC10
+data4 0xCE9C8F7E,0x9A8CEB15,0x0000BFD9,0x3F7FB410
+data4 0x0DECE74A,0x8C220879,0x00003FDC,0x3F7FAC18
 data4 0x2F053150,0xB25CA912,0x0000BFDA,0x3F7FA420
-data4 0xD9A5BE20,0xA5876555,0x00003FDB,0x3F7F9C20 
-data4 0x2053F087,0xC919BB6E,0x00003FD9,0x3F7F9428 
-data4 0x041E9A77,0xB70BDA79,0x00003FDC,0x3F7F8C30 
-data4 0xEA1C9C30,0xF18A5C08,0x00003FDA,0x3F7F8438 
-data4 0x796D89E5,0xA3790D84,0x0000BFDD,0x3F7F7C40 
-data4 0xA2915A3A,0xE1852369,0x0000BFDD,0x3F7F7448 
-data4 0xA39ED868,0xD803858F,0x00003FDC,0x3F7F6C50 
-data4 0x9417EBB7,0xB2EEE356,0x0000BFDD,0x3F7F6458 
-data4 0x9BB0D07F,0xED5C1F8A,0x0000BFDC,0x3F7F5C68 
-data4 0xE87C740A,0xD6D201A0,0x0000BFDD,0x3F7F5470 
-data4 0x1CA74025,0xE8DEBF5E,0x00003FDC,0x3F7F4C78 
+data4 0xD9A5BE20,0xA5876555,0x00003FDB,0x3F7F9C20
+data4 0x2053F087,0xC919BB6E,0x00003FD9,0x3F7F9428
+data4 0x041E9A77,0xB70BDA79,0x00003FDC,0x3F7F8C30
+data4 0xEA1C9C30,0xF18A5C08,0x00003FDA,0x3F7F8438
+data4 0x796D89E5,0xA3790D84,0x0000BFDD,0x3F7F7C40
+data4 0xA2915A3A,0xE1852369,0x0000BFDD,0x3F7F7448
+data4 0xA39ED868,0xD803858F,0x00003FDC,0x3F7F6C50
+data4 0x9417EBB7,0xB2EEE356,0x0000BFDD,0x3F7F6458
+data4 0x9BB0D07F,0xED5C1F8A,0x0000BFDC,0x3F7F5C68
+data4 0xE87C740A,0xD6D201A0,0x0000BFDD,0x3F7F5470
+data4 0x1CA74025,0xE8DEBF5E,0x00003FDC,0x3F7F4C78
 data4 0x1F34A7EB,0x9A995A97,0x0000BFDC,0x3F7F4488
-data4 0x359EED97,0x9CB0F742,0x0000BFDA,0x3F7F3C90 
-data4 0xBBC6A1C8,0xD6F833C2,0x0000BFDD,0x3F7F34A0 
-data4 0xE71090EC,0xE1F68F2A,0x00003FDC,0x3F7F2CA8 
-data4 0xC160A74F,0xD1881CF1,0x0000BFDB,0x3F7F24B8 
-data4 0xD78CB5A4,0x9AD05AE2,0x00003FD6,0x3F7F1CC8 
-data4 0x9A77DC4B,0xE658CB8E,0x0000BFDD,0x3F7F14D8 
-data4 0x6BD6D312,0xBA281296,0x00003FDC,0x3F7F0CE0 
-data4 0xF95210D0,0xB478BBEB,0x0000BFDB,0x3F7F04F0 
-data4 0x38800100,0x39400480,0x39A00640,0x39E00C41 // H's start here 
-data4 0x3A100A21,0x3A300F22,0x3A4FF51C,0x3A6FFC1D 
+data4 0x359EED97,0x9CB0F742,0x0000BFDA,0x3F7F3C90
+data4 0xBBC6A1C8,0xD6F833C2,0x0000BFDD,0x3F7F34A0
+data4 0xE71090EC,0xE1F68F2A,0x00003FDC,0x3F7F2CA8
+data4 0xC160A74F,0xD1881CF1,0x0000BFDB,0x3F7F24B8
+data4 0xD78CB5A4,0x9AD05AE2,0x00003FD6,0x3F7F1CC8
+data4 0x9A77DC4B,0xE658CB8E,0x0000BFDD,0x3F7F14D8
+data4 0x6BD6D312,0xBA281296,0x00003FDC,0x3F7F0CE0
+data4 0xF95210D0,0xB478BBEB,0x0000BFDB,0x3F7F04F0
+data4 0x38800100,0x39400480,0x39A00640,0x39E00C41 // H's start here
+data4 0x3A100A21,0x3A300F22,0x3A4FF51C,0x3A6FFC1D
 data4 0x3A87F20B,0x3A97F68B,0x3AA7EB86,0x3AB7E101
-data4 0x3AC7E701,0x3AD7DD7B,0x3AE7D474,0x3AF7CBED 
-data4 0x3B03E1F3,0x3B0BDE2F,0x3B13DAAA,0x3B1BD766 
-data4 0x3B23CC5C,0x3B2BC997,0x3B33C711,0x3B3BBCC6 
-data4 0x3B43BAC0,0x3B4BB0F4,0x3B53AF6D,0x3B5BA620 
-data4 0x3B639D12,0x3B6B9444,0x3B7393BC,0x3B7B8B6D 
-ASM_SIZE_DIRECTIVE(Constants_log_80_h3_G_H)
-
-.align 64
-Constant_half:
-ASM_TYPE_DIRECTIVE(Constant_half,@object)
-data4 0x00000000,0x80000000,0x00003FFE
-ASM_SIZE_DIRECTIVE(Constant_half)
-
-GR_Expo_Range       = r32
-GR_Flag             = r33
+data4 0x3AC7E701,0x3AD7DD7B,0x3AE7D474,0x3AF7CBED
+data4 0x3B03E1F3,0x3B0BDE2F,0x3B13DAAA,0x3B1BD766
+data4 0x3B23CC5C,0x3B2BC997,0x3B33C711,0x3B3BBCC6
+data4 0x3B43BAC0,0x3B4BB0F4,0x3B53AF6D,0x3B5BA620
+data4 0x3B639D12,0x3B6B9444,0x3B7393BC,0x3B7B8B6D
+LOCAL_OBJECT_END(Constants_log_80_h3_G_H)
+
+GR_sig_inv_ln2      = r14
+GR_rshf_2to51       = r15
+GR_exp_2tom51       = r16
+GR_rshf             = r17
+GR_exp_half         = r18
+GR_sign_mask        = r19
+GR_exp_square_oflow = r20
+GR_exp_square_uflow = r21
+GR_exp_ynear1_oflow = r22
+GR_exp_ynear1_uflow = r23
+GR_signif_Z         = r24
+
+GR_signexp_x        = r32
+
+GR_exp_x            = r33
+
 GR_Table_Ptr        = r34
 
 GR_Table_Ptr1       = r35
-GR_BIAS             = r35
 
 GR_Index1           = r36
-GR_sign_mask        = r36
 
 GR_Index2           = r37
 GR_Expo_X           = r37
 
-GR_signif_Z         = r38
 GR_M                = r38
 
 GR_X_0              = r39
@@ -620,45 +613,49 @@ GR_k                = r44
 
 GR_Big_Pos_Exp      = r45
 
+GR_exp_pos_max      = r46
 
-GR_BIAS_p_k         = r47
-GR_BIASed_exp_y     = r47
+GR_exp_bias_p_k     = r47
 
-GR_Big_Neg_Exp      = r48
 GR_Index3           = r48
 GR_temp             = r48
 
 GR_vsm_expo         = r49
-GR_y_sign           = r49
 
 GR_T1_ptr           = r50
+GR_P_ptr1           = r50
 GR_T2_ptr           = r51
+GR_P_ptr2           = r51
 GR_N_fix            = r52
 GR_exp_y            = r53
 GR_signif_y         = r54
-GR_exp_and_sign_y   = r55
+GR_signexp_y        = r55
+GR_fraction_y       = r55
 GR_low_order_bit    = r56
-GR_get_exp_mask     = r57
-GR_exponent_zero    = r58
-
-// ** Registers for unwind support
+GR_exp_mask         = r57
+GR_exp_bias         = r58
+GR_y_sign           = r59
+GR_table_base       = r60
+GR_ptr_exp_Arg      = r61
+GR_Delta_Exp        = r62
+GR_Special_Exp      = r63
+GR_exp_neg_max      = r64
+GR_Big_Neg_Exp      = r65
+
+//** Registers for unwind support
 
 GR_SAVE_PFS         = r59
 GR_SAVE_B0          = r60
 GR_SAVE_GP          = r61
-GR_Parameter_X      = r62 
-GR_Parameter_Y      = r63 
-GR_Parameter_RESULT = r64 
-GR_Parameter_TAG    = r65 
-
-FR_X      = f8
-FR_Y      = f9
-FR_RESULT = f99
+GR_Parameter_X      = r62
+GR_Parameter_Y      = r63
+GR_Parameter_RESULT = r64
+GR_Parameter_TAG    = r65
 
-// **
+//**
 
 FR_Input_X          = f8
-FR_Output           = f8
+FR_Result           = f8
 FR_Input_Y          = f9
 
 FR_Neg              = f10
@@ -671,7 +668,6 @@ FR_poly_hi          = f11
 
 FR_Sgn              = f12
 
-FR_Neg_X            = f13
 FR_half_W           = f13
 
 FR_X_cor            = f14
@@ -698,13 +694,11 @@ FR_Scale            = f36
 FR_G_1              = f37
 FR_G                = f37
 FR_Wsq              = f37
-FR_L_Inv            = f37
 FR_temp             = f37
 
 FR_H_1              = f38
 FR_H                = f38
 FR_W4               = f38
-FR_float_N          = f38
 
 FR_h                = f39
 FR_h_1              = f39
@@ -720,9 +714,7 @@ FR_L_lo             = f41
 FR_A_1              = f41
 
 FR_h_2              = f42
-FR_P_6              = f42
 
-FR_abs_W            = f43
 FR_W1               = f43
 
 FR_G_3              = f44
@@ -740,7 +732,6 @@ FR_H_3              = f47
 
 FR_float_N          = f48
 
-FR_P_4              = f49
 FR_A_2              = f49
 
 FR_Q_4              = f50
@@ -768,7 +759,6 @@ FR_Two              = f56
 FR_Big              = f57
 
 FR_neg_2_mK         = f58
-FR_NBig             = f58
 
 FR_r                = f59
 
@@ -777,1652 +767,1253 @@ FR_poly_lo          = f60
 FR_poly             = f61
 
 FR_P_5              = f62
+FR_Result_small     = f62
 
 FR_rsq              = f63
 
-FR_Result           = f99
-FR_Result_small     = f100
-FR_Result_big       = f101
+FR_Delta            = f64
 
-.section .text
-.proc powl#
-.global powl#
-.align 64 
+FR_save_Input_X     = f65
+FR_norm_X           = f66
+FR_norm_Y           = f67
+FR_Y_lo_2           = f68
 
-powl: 
-{ .mfi
-alloc  GR_Expo_Range = ar.pfs,0,30,4,0
-(p0)   fclass.m.unc p7, p13 =  FR_Input_Y, 0x1E7 
-nop.i 0
-}
-{ .mfi
-(p0)   getf.exp GR_exp_and_sign_y = FR_Input_Y 
+FR_P_6              = f69
+FR_Result_big       = f69
+
+FR_RSHF_2TO51       = f70
+FR_INV_LN2_2TO63    = f71
+FR_2TOM51           = f72
+FR_RSHF             = f73
+FR_TMP1             = f74
+FR_TMP2             = f75
+FR_TMP3             = f76
+FR_Tscale           = f77
+FR_P_4              = f78
+FR_NBig             = f79
+
+
+.section .text
+GLOBAL_LIBM_ENTRY(powl)
 //
-//     Save State
+//     Get significand of x.  It is the critical path.
 //
-(p0)   fclass.m.unc p6, p12 =  FR_Input_X, 0x1E7 
-nop.i 0
-};;
 { .mfi
-(p0)   getf.sig GR_signif_y = FR_Input_Y 
-(p0)   fcmp.eq.unc.s1 p12, p13 =  FR_Input_X, f1 
-nop.i 0
+      getf.sig GR_signif_Z = FR_Input_X    // Get significand of x
+      fclass.m p11, p12 = FR_Input_X, 0x0b // Test x unorm
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-//
-//     Check for y = 1 
-//     Identify EM unsupporteds.
-//     Load FR_half = .5
-//
-(p0)   fadd.s1 FR_Two = f1, f1 
-//
-//     Load 1/2 in GP register
-//
-nop.i 0 
+      nop.m 999
+      fnorm.s1 FR_norm_X = FR_Input_X      // Normalize x
+      mov GR_exp_half = 0xffff - 1         // Exponent for 0.5
 }
 ;;
 
-{ .mmi
-      nop.m 999
-(p0)  addl           GR_Table_Ptr   = @ltoff(Constant_half#), gp
-      nop.i 999
+{ .mfi
+      alloc  r32 = ar.pfs,0,30,4,0
+      fclass.m p7, p0 =  FR_Input_Y, 0x1E7 // Test y natval, nan, inf, zero
+      mov GR_exp_pos_max = 0x13fff         // Max exponent for pos oflow test
+}
+{ .mfi
+      addl GR_table_base = @ltoff(Constants_exp_64_Arg#), gp // Ptr to tables
+      fnorm.s1 FR_norm_Y = FR_Input_Y      // Normalize y
+      mov GR_exp_neg_max = 0x33fff         // Max exponent for neg oflow test
 }
 ;;
 
-{ .mmi
-      ld8 GR_Table_Ptr = [GR_Table_Ptr]
-      nop.m 999
-      nop.i 999
+{ .mfi
+      getf.exp GR_signexp_y = FR_Input_Y   // Get sign and exp of y
+(p12) fclass.m p11, p0 =  FR_Input_Y, 0x0b // Test y unorm
+      mov GR_sign_mask = 0x20000           // Sign mask
+}
+{ .mfi
+      ld8 GR_table_base = [GR_table_base]  // Get base address for tables
+      fadd.s1 FR_Two = f1, f1              // Form 2.0 for square test
+      mov GR_exp_mask = 0x1FFFF            // Exponent mask
 }
 ;;
 
-{ .mlx
-(p0)   ldfe FR_Half =[GR_Table_Ptr],0
-(p0)   movl GR_get_exp_mask = 0x1FFFF ;; 
+{ .mfi
+      getf.sig GR_signif_y = FR_Input_Y    // Get significand of y
+      fclass.m p6, p0 =  FR_Input_X, 0x1E7 // Test x natval, nan, inf, zero
+      nop.i 999
 }
+;;
 
 { .mfi
-	nop.m 999
-(p0)   fclass.nm.unc p9, p15 =  FR_Input_Y, 0x1FF 
-//
-//     Create FR_Two = 2
-//     Get exp and significand of Y
-//     Crate Masks
-//     sgn = 1
-//
-(p0)   and GR_exp_y = GR_get_exp_mask,GR_exp_and_sign_y
+      getf.exp GR_signexp_x = FR_Input_X   // Get signexp of x
+      fmerge.s FR_save_Input_X = FR_Input_X, FR_Input_X
+      extr.u GR_Index1 = GR_signif_Z, 59, 4  // Extract upper 4 signif bits of x
 }
-{ .mlx
-	nop.m 999
-(p0)   movl GR_exponent_zero = 0xFFFF ;; 
+{ .mfb
+      setf.exp FR_Half = GR_exp_half       // Load half
+      nop.f 999
+(p11) br.cond.spnt  POWL_DENORM            // Branch if x or y denorm/unorm
 }
+;;
+
+// Return here from POWL_DENORM
+POWL_COMMON:
 { .mfi
-	nop.m 999
-(p0)   mov FR_Sgn = f1 
-	nop.i 999
+      setf.exp FR_Big = GR_exp_pos_max     // Form big pos value for oflow test
+      fclass.nm p11, p0 = FR_Input_Y, 0x1FF // Test Y unsupported
+      shl GR_Index1 = GR_Index1,5          // Adjust index1 pointer x 32
 }
 { .mfi
-	nop.m 999
-(p0)   fcmp.eq.unc.s1 p10, p11 =  FR_Input_Y, f1 
-	nop.i 999 ;;
+      add GR_Table_Ptr = 0x7c0, GR_table_base // Constants_log_80_Z_G_H_h1
+      fma.s1 FR_Sgn = f1,f1,f0             // Assume result positive
+      mov GR_exp_bias = 0xFFFF             // Form exponent bias
 }
-{ .mfb
-	nop.m 999
+;;
+
 //
 //     Identify NatVals, NaNs, Infs, and Zeros.
-//     Load Half
 //
-(p0)   fclass.nm.unc p8, p14 =  FR_Input_X, 0x1FF 
-//      
-//     Remove sign bit from exponent of y.
-//     Check for x = 1 
-//
-(p6)   br.cond.spnt L(POWL_64_SPECIAL) ;; 
-}
-{ .mib
-	nop.m 999
-	nop.i 999
-(p7)   br.cond.spnt L(POWL_64_SPECIAL) ;; 
-}
-{ .mib
-	nop.m 999
-	nop.i 999
-(p8)   br.cond.spnt L(POWL_64_UNSUPPORT) ;; 
-}
-{ .mib
-	nop.m 999
-	nop.i 999
-(p9)   br.cond.spnt L(POWL_64_UNSUPPORT) ;; 
-}
-{ .mfi
-(p0)   cmp.lt.unc  p9, p0 = GR_exp_y,GR_exponent_zero 
-(p0)   fcmp.lt.unc.s1 p6, p13  =  FR_Input_X, f0 
 //
+//     Remove sign bit from exponent of y.
+//     Check for x = 1
 //     Branch on Infs, Nans, Zeros, and Natvals
 //     Check to see that exponent < 0
 //
-(p0)   sub GR_exp_y = GR_exp_y,GR_exponent_zero
-}
-//     x not zero, is y ==2? 
 { .mfi
-	nop.m 999
-(p11)  fcmp.eq.unc.s1 p7, p14 =  FR_Input_Y, FR_Two 
-	nop.i 999 ;;
+      setf.exp FR_NBig = GR_exp_neg_max    // Form big neg value for oflow test
+      fclass.nm p8, p0 =  FR_Input_X, 0x1FF  // Test X unsupported
+      and GR_exp_y = GR_exp_mask,GR_signexp_y // Get biased exponent of y
 }
 { .mfb
-	nop.m 999
-(p9)   fcmp.lt.unc.s1 p9, p0   =  FR_Input_X, f0 
-(p7)   br.cond.spnt L(POWL_64_SQUARE) ;;   // Branch if x not zero and y=2
+      add GR_Index1 = GR_Index1,GR_Table_Ptr
+      nop.f 999
+(p6)  br.cond.spnt POWL_64_SPECIAL         // Branch if x natval, nan, inf, zero
 }
-{ .mfi
-	nop.m 999
-(p6)   fmerge.ns FR_Neg_X = FR_Input_X, FR_Input_X 
-	nop.i 999 ;;
-}
-{ .mfi
-	nop.m 999
-(p10)  fmpy.s0 FR_Result = FR_Input_X, f1 
-//
-//     For y = 1, compute result = x 
-//     For x = 1, compute 1 
-//     When Y is one return X and possible raise 
-//     denormal operand exception.
-//     Remove exponent BIAS
+;;
+
+//     load Z_1 from Index1
+
+// There is logic starting here to determine if y is an integer when x < 0.
+// If 0 < |y| < 1 then clearly y is not an integer.
+// If |y| > 1, then the significand of y is shifted left by the size of
+//    the exponent of y.  This preserves the lsb of the integer part + the
+//    fractional bits.  The lsb of the integer can be tested to determine if
+//    the integer is even or odd.  The fractional bits can be tested.  If zero,
+//    then y is an integer.
 //
-(p6)   shl GR_exp_and_sign_y=  GR_signif_y,GR_exp_y ;; 
-}
 { .mfi
-(p9)   or  GR_exp_and_sign_y = 0xF,GR_signif_y 
-(p12)  fma.s0 FR_Result = FR_Input_Y, f0, f1 
-	nop.i 999 ;;
+      ld2 GR_Z_1 =[GR_Index1],4            // Load Z_1
+      fmerge.s FR_Z = f0, FR_norm_X        // Z = |x|
+      extr.u GR_X_0 = GR_signif_Z, 49, 15  // Extract X_0 from significand
 }
-{ .mii
-	nop.m 999
-(p6)   extr.u GR_exp_y = GR_exp_and_sign_y,63,1 ;; 
-(p6)   cmp.ne.unc  p9, p0 =  GR_exp_y, r0 
+{ .mfb
+      cmp.lt p9, p0 = GR_exp_y,GR_exp_bias // Test 0 < |y| < 1
+      nop.f 999
+(p7)  br.cond.spnt POWL_64_SPECIAL         // Branch if y natval, nan, inf, zero
 }
-{ .mii
-	nop.m 999
-//
-//     Both predicates can be set. 
-//     Don't consider  y's < 1.
-//
-(p6)   shl GR_signif_y=  GR_exp_and_sign_y,1 ;; 
-//
-//     Is shift off integer part of y.
-//     Get y's  even or odd bit.
-//
-(p6)   cmp.ne.unc  p8, p0  =  GR_signif_y, r0 
+;;
+
+{ .mfb
+      ldfs  FR_G_1 = [GR_Index1],4         // Load G_1
+      fcmp.eq.s1 p10, p0 =  FR_Input_Y, f1 // Test Y = +1.0
+(p8)  br.cond.spnt POWL_64_UNSUPPORT       // Branch if x unsupported
 }
-{ .mib
-	nop.m 999
-	nop.i 999
+;;
+
 //
-//     Is the fractional part of the y = 0?
-//     Is the integer even or odd. 
+//     X_0  = High order 15 bit of Z
 //
-(p10)  br.cond.spnt L(POWL_64_RETURN) ;; 
-}
-{ .mib
-	nop.m 999
-	nop.i 999
-(p12)  br.cond.spnt L(POWL_64_RETURN) ;; 
-}
-{ .mib
-	nop.m 999
-	nop.i 999
-(p8)   br.cond.spnt L(POWL_64_XNEG) ;;
+{ .mfb
+      ldfs  FR_H_1 = [GR_Index1],8             // Load H_1
+(p9)  fcmp.lt.unc.s1 p9, p0 = FR_Input_X, f0   // Test x<0, 0 <|y|<1
+(p11) br.cond.spnt POWL_64_UNSUPPORT           // Branch if y unsupported
 }
+;;
+
 { .mfi
-	nop.m 999
-(p9)   fmerge.ns FR_Sgn = FR_Sgn, FR_Sgn 
-	nop.i 999
+      ldfe FR_h_1 = [GR_Index1]                // Load h_1
+      fcmp.eq.s1 p7, p0 =  FR_Input_Y, FR_Two  // Test y = 2.0
+      pmpyshr2.u GR_X_1 = GR_X_0,GR_Z_1,15     // X_1 = X_0 * Z_1 (bits 15-30)
+                                               // Wait 4 cycles to use result
 }
 { .mfi
-	nop.m 999
-(p0)   fcmp.eq.unc.s0 p11, p0 =  FR_Input_Y, FR_Half 
-	nop.i 999 ;;
+      add GR_Table_Ptr = 0x9c0, GR_table_base  // Constants_log_80_Z_G_H_h2
+      nop.f 999
+      sub GR_exp_y = GR_exp_y,GR_exp_bias      // Get true exponent of y
 }
+;;
+
 //
-//     Raise possible denormal operand exception for both
-//     X and Y.
+//      Branch for (x < 0) and Y not an integer.
 //
 { .mfb
-	nop.m 999
-//
-//     Branch for (x < 0) and Y not an integer.
-//
-(p0)   fcmp.eq.unc.s0 p12, p0 =  FR_Input_X, f1 
-//
-//     For x < 0 and y integer, make x positive 
-//     For x < 0 and y odd integer,, set sign = -1.
-//
-(p11)  br.cond.spnt L(POWL_64_SQRT) ;; 
-}
-{ .mmf
-(p0)   cmp.eq.unc  p15, p14 =  r0, r0 
-	nop.m 999
-(p13)  fnorm.s1 FR_Z = FR_Input_X ;; 
-}
-{ .mfi
-	nop.m 999
-(p6)   fnorm.s1 FR_Z = FR_Neg_X 
-	nop.i 999
+      nop.m 999
+      fcmp.lt.s1 p6, p0  =  FR_Input_X, f0     // Test x < 0
+(p9)  br.cond.spnt POWL_64_XNEG                // Branch if x < 0, 0 < |y| < 1
 }
 ;;
 
-//
-//     Branch to embedded sqrt(x)
-//
-//
-//     Computes ln( x ) to extra precision 
-//     Input  FR 1: FR_X            
-//     Output FR 2: FR_Y_hi  
-//     Output FR 3: FR_Y_lo  
-//     Output PR 1: PR_Safe  
-//
-
-{ .mmi
+{ .mfi
       nop.m 999
-(p0)  addl           GR_Table_Ptr   = @ltoff(Constants_log_80_Z_G_H_h1#), gp
+      fcmp.eq.s1 p12, p0 =  FR_Input_X, f1     // Test x=+1.0
       nop.i 999
 }
+{ .mfb
+      nop.m 999
+      fsub.s1 FR_W = FR_Z, f1                  // W = Z - 1
+(p7)  br.cond.spnt POWL_64_SQUARE              // Branch if y=2
+}
 ;;
 
-{ .mmi
-      ld8 GR_Table_Ptr = [GR_Table_Ptr]
+{ .mfi
       nop.m 999
-      nop.i 999
+(p10) fmpy.s0 FR_Result = FR_Input_X, f1       // If y=+1.0, result=x
+(p6)  shl GR_fraction_y=  GR_signif_y,GR_exp_y // Get lsb of int + fraction
+                                               // Wait 4 cycles to use result
 }
 ;;
 
-
-{ .mlx
-	nop.m 999
-(p0)   movl GR_BIAS = 0x000000000000FFFF ;; 
-}
 { .mfi
-	nop.m 999
-(p0)   fsub.s1 FR_W = FR_Z, f1 
-	nop.i 999 ;;
-}
-//     
-//     Z = Norm(X) - both + and - case 
-//     Set Safe = True
-//     
-{ .mmb
-(p0)   getf.sig GR_signif_Z = FR_Z 
-(p0)   getf.exp GR_N =  FR_Z 
-	nop.b 999 ;;
-}
-{ .mii
-	nop.m 999
-//     
-//     Get significand of Z 
-//     W = Z - 1
-//     
-(p0)   extr.u GR_Index1 = GR_signif_Z, 59, 4 ;;  
-//     
-//     Index1 = High order 4 bits of Z
-//     X_0  = High order 15 bit of Z 
-//
-(p0)   shl GR_Index1 = GR_Index1,5 ;; 
-}
-{ .mfi
-	nop.m 999
-//     
-//     Add offset to Index1 ptr.
-//     
-(p0)   fabs FR_abs_W =  FR_W 
-//     
-//     BIAS = 0x000...FFFF
-//     Adjust Index1 ptr ( x 32) .
-//     
-(p0)   add GR_Index1 = GR_Index1,GR_Table_Ptr  
+      nop.m 999
+(p12) fma.s0 FR_Result = FR_Input_Y, f0, f1    // If x=1.0, result=1, chk denorm
+      extr.u GR_Index2 = GR_X_1, 6, 4          // Extract index2
 }
-{ .mmi
-	nop.m 999 ;;
-(p0)   ld2 GR_Z_1 =[GR_Index1],4
-(p0)   extr.u GR_X_0 = GR_signif_Z, 49, 15  
+;;
+
+//
+//     N = exponent of Z
+//
+{ .mib
+      getf.exp GR_N =  FR_Z                    // Get exponent of Z (also x)
+      shl GR_Index2=GR_Index2,5                // Index2  x 32 bytes
+(p10) br.ret.spnt  b0                          // Exit if y=+1.0
 }
 ;;
 
-{ .mmi
-      nop.m 999
-(p0)  addl           GR_Table_Ptr   = @ltoff(Constants_log_80_Z_G_H_h2#), gp
+{ .mib
+      add GR_Index2 = GR_Index2, GR_Table_Ptr  // Pointer to table 2
       nop.i 999
+(p12) br.ret.spnt  b0                          // Exit if x=+1.0
 }
 ;;
 
 { .mmi
-      ld8 GR_Table_Ptr = [GR_Table_Ptr]
-      nop.m 999
+      ld2 GR_Z_2 =[GR_Index2],4                // Load Z_2
+;;
+      ldfs  FR_G_2 = [GR_Index2],4             // Load G_2
       nop.i 999
 }
 ;;
 
-
-{ .mmi
-(p0)   ldfs  FR_G_1 = [GR_Index1],4 ;; 
-(p0)   ldfs  FR_H_1 = [GR_Index1],8 
-	nop.i 999 ;;
+{ .mii
+      ldfs  FR_H_2 = [GR_Index2],8             // Load H_2
+(p6)  tbit.nz.unc p9, p0 = GR_fraction_y, 63   // Test x<0 and y odd integer
+      add GR_Table_Ptr = 0xbcc, GR_table_base  // Constants_log_80_h3_G_H, G_3
 }
+;;
+
 //
-//     Adjust Index2 (x 32). 
+//      For x < 0 and y odd integer,, set sign = -1.
 //
 { .mfi
-(p0)   ldfe FR_h_1 = [GR_Index1],0 
-	nop.f 999
-(p0)   pmpyshr2.u GR_X_1 = GR_X_0,GR_Z_1,15 ;; 
-}
-{ .mmi
-	nop.m 999 ;;
-//
-//     load Z_1 from Index1
-//     abs_W = |W|
-//     Point to Table2 
-//
-(p0)   getf.exp GR_M = FR_abs_W 
-//
-//     M = M - BIAS 
-//     Load G_1 
-//     N = exponent of Z 
-//
-       nop.i 999;;
+      getf.exp GR_M = FR_W                      // Get signexp of W
+      nop.f 999
+      pmpyshr2.u GR_X_2 = GR_X_1,GR_Z_2,15      // X_2 = X_1 * Z_2 (bits 15-30)
 }
-{ .mmi
-       nop.m 999
-       nop.m 999
-       nop.i 999;;
+{ .mfi
+      ldfe FR_h_2 = [GR_Index2]                // Load h_2
+(p9)  fnma.s1 FR_Sgn = f1, f1, f0          // If x<0, y odd int, result negative
+      sub GR_N = GR_N, GR_exp_bias             // Get true exponent of x = N
 }
-{ .mmi
-       nop.m 999
-       nop.m 999
-       nop.i 999;;
+;;
+
+{ .mfi
+      add GR_Table_Ptr1 = 0xdc0, GR_table_base // Ptr to H_3
+      fcmp.eq.s0 p11, p0 = FR_Input_Y, FR_Half // Test y=0.5, also set denorm
+(p6)  shl GR_fraction_y=  GR_fraction_y, 1     // Shift left 1 to get fraction
 }
-{ .mmi
-        nop.m 999
-        nop.m 999
-(p0)   extr.u GR_Index2 = GR_X_1, 6, 4 ;;  
+;;
+
+{ .mmb
+      setf.sig FR_float_N = GR_N
+(p6)  cmp.ne.unc p8, p0 = GR_fraction_y, r0    // Test x<0 and y not integer
+(p8)  br.cond.spnt POWL_64_XNEG                // Branch if x<0 and y not int
 }
-{ .mii
-	nop.m 999
-//     
-//     Extract Index2 
-//     Load H_1
-//     Is -8 > M ?
+;;
+
 //
-(p0)   shl GR_Index2=GR_Index2,5 ;; 
-(p0)   add GR_Index2 = GR_Index2, GR_Table_Ptr  
-}
+//      Raise possible denormal operand exception for both X and Y.
+//      Set pointers in case |x| near 1
+//      Branch to embedded sqrt(x) if y=0.5
 //
-//     M = exponent of abs_W
-//     X_1 = X_0 * Z_1 
-//     
-{ .mii
-(p0)   sub GR_M = GR_M, GR_BIAS  
-	nop.i 999 ;;
-(p0)   cmp.gt.unc  p7, p14 =  -8, GR_M 
+{ .mfi
+      add GR_P_ptr1 = 0x6b0, GR_table_base // Constants_log_80_P, P8, NEAR path
+      fcmp.eq.s0 p12, p0 =  FR_Input_X, FR_Input_Y // Dummy to set denormal
+      add GR_P_ptr2 = 0x700, GR_table_base // Constants_log_80_P, P4, NEAR path
 }
-{ .mib
-	nop.m 999
-	nop.i 999
-(p7)   br.cond.spnt L(LOGL80_NEAR) ;; 
+{ .mfb
+      cmp.eq p15, p14 =  r0, r0            // Assume result safe (no over/under)
+      fsub.s1  FR_Delta = FR_Input_Y,f1    // Delta = y - 1.0
+(p11) br.cond.spnt POWL_64_SQRT            // Branch if y=0.5
 }
+;;
+
 //
-//     Load h_1
-//     Possible branch out.  
-//     Add offset of table to Index2 
+//     Computes ln( x ) to extra precision
+//     Input  FR 1: FR_X
+//     Output FR 2: FR_Y_hi
+//     Output FR 3: FR_Y_lo
+//     Output PR 1: PR_Safe
 //
 { .mfi
-(p0)   ld2 GR_Z_2 =[GR_Index2],4
-(p0)   fmerge.se FR_S =  f1,FR_Z
-(p0)   sub GR_N = GR_N, GR_BIAS  
+      and GR_M = GR_exp_mask, GR_M            // Mask to get exponent of W
+      nop.f 999
+      extr.u GR_Index3 = GR_X_2, 1, 5         // Get index3
 }
 ;;
 
 { .mmi
-      nop.m 999
-(p0)  addl           GR_Table_Ptr   = @ltoff(Constants_log_80_h3_G_H#), gp
-      nop.i 999
+      shladd GR_Table_Ptr1 = GR_Index3,2,GR_Table_Ptr1 // Ptr to H_3
+      shladd GR_Index3 = GR_Index3,4,GR_Table_Ptr      // Ptr to G_3
+      sub GR_M = GR_M, GR_exp_bias            // Get true exponent of W
 }
 ;;
 
-{ .mmi
-      ld8 GR_Table_Ptr = [GR_Table_Ptr]
-      nop.m 999
-      nop.i 999
+{ .mib
+      ldfs FR_G_3 = [GR_Index3],-12           // Load G_3
+      cmp.gt  p7, p14 =  -8, GR_M             // Test if |x-1| < 2^-8
+(p7)  br.cond.spnt LOGL80_NEAR                // Branch if |x-1| < 2^-8
 }
 ;;
 
-//     
-//     load Z_2 
-//     N - BIAS 
-//     Point to Table 3.
-//     S = merging of Z and 1.0
-//     
-{ .mmi
-(p0)   ldfs  FR_G_2 = [GR_Index2],4 
-(p0)   setf.sig FR_float_N = GR_N 
-(p0)   add GR_Table_Ptr1 = 0x200,GR_Table_Ptr ;;  
-}
-//
-//     load G_2 
-//     X_2 = X_1 * Z_2 
-//     Add offset to Table 2 ptr.
-//     float_N = significand of N
-//
-{ .mmi
-(p0)   ldfs  FR_H_2 = [GR_Index2],8 ;; 
-//
-//     load H_2 
-//     G = G * G_2
-//
-(p0)   ldfe FR_h_2 = [GR_Index2],0 
-(p0)   pmpyshr2.u GR_X_2 = GR_X_1,GR_Z_2,15 ;; 
-}
-{ .mmi
-       nop.m 999
-       nop.m 999
-       nop.i 999;;
-}
-{ .mmi
-       nop.m 999
-       nop.m 999
-       nop.i 999;;
-}
-{ .mmi
-        nop.m 999
-        nop.m 999
-        nop.i 999;;
+// Here if |x-1| >= 2^-8
+{ .mmf
+      ldfs FR_H_3 = [GR_Table_Ptr1]           // Load H_3
+      nop.m 999
+      nop.f 999
 }
-{ .mii
-	nop.m 999
-	nop.i 999 ;;
-(p0)   extr.u GR_Index3 = GR_X_2, 1, 5 ;;  
+;;
+
+{ .mfi
+      ldfe FR_h_3 = [GR_Index3]               // Load h_3
+      fmerge.se FR_S =  f1,FR_Z               // S = merge of 1.0 and signif(Z)
+      nop.i 999
 }
 { .mfi
-(p0)   shladd GR_Table_Ptr1 = GR_Index3,2,GR_Table_Ptr1 
-	nop.f 999
+      add GR_Table_Ptr = 0x740, GR_table_base // Constants_log_80_Q
+      fmpy.s1 FR_G = FR_G_1, FR_G_2           // G = G_1 * G_2
+      nop.i 999
+}
+;;
+
 //
-//     h = h_1 + h_2  
-//     Adjust Index3 
+//     Begin Loading Q's -  load log2_hi part
 //
-(p0)   shladd GR_Index3 = GR_Index3,4,GR_Table_Ptr ;; 
-}
-{ .mmb
-	nop.m 999
-(p0)   ldfe FR_h_3 = [GR_Index3],12 
-	nop.b 999 ;;
-}
-{ .mmf
-(p0)   ldfs FR_H_3 = [GR_Table_Ptr1],0 
+{ .mfi
+      ldfe FR_log2_hi = [GR_Table_Ptr],16     // Load log2_hi
+      fadd.s1 FR_H = FR_H_1, FR_H_2           // H = H_1 + H_2
+      nop.i 999
+};;
+
 //
-//     float_N = Make N a fp number
-//     Load h_3
-//     Get pointer to Q table.     
+//     h = h_1 + h_2
 //
-(p0)   ldfs  FR_G_3 = [GR_Index3],0 
-(p0)   fmpy.s1 FR_G = FR_G_1, FR_G_2 
+{ .mfi
+      ldfe FR_log2_lo = [GR_Table_Ptr],16     // Load log2_lo
+      fadd.s1 FR_h = FR_h_1, FR_h_2           // h = h_1 + h_2
+      nop.i 999
 }
 ;;
 
-{ .mmi
-      nop.m 999
-(p0)  addl           GR_Table_Ptr   = @ltoff(Constants_log_80_Q#), gp
+{ .mfi
+      ldfe FR_Q_6 = [GR_Table_Ptr],16         // Load Q_6
+      fcvt.xf FR_float_N = FR_float_N
       nop.i 999
 }
 ;;
 
-{ .mmi
-      ld8 GR_Table_Ptr = [GR_Table_Ptr]
-      nop.m 999
+{ .mfi
+      ldfe FR_Q_5 = [GR_Table_Ptr],16         // Load Q_5
+      nop.f 999
       nop.i 999
 }
 ;;
 
-
-
-{ .mfi
-(p0)   ldfe FR_log2_hi = [GR_Table_Ptr],16
-(p0)   fadd.s1 FR_H = FR_H_1, FR_H_2 
-	nop.i 999 ;;
-}
-{ .mmf
-	nop.m 999
-//
-//     G = G_1 * G_2 * G_3 
-//
-(p0)   ldfe FR_log2_lo = [GR_Table_Ptr],16 
-//
-//     load h_2 
-//     H = H_1 + H_2 
-//     Get Index3
 //
-(p0)   fadd.s1 FR_h = FR_h_1, FR_h_2 ;; 
-}
-//
-//     Load log2_lo part
-//     r = G*S -1
+//     G = G_1 * G_2 * G_3
 //
 { .mfi
-(p0)   ldfe FR_Q_6 = [GR_Table_Ptr],16 
-//
-//     Load H_3
-//
-(p0)   fcvt.xf FR_float_N = FR_float_N 
-	nop.i 999 ;;
+      ldfe FR_Q_4 = [GR_Table_Ptr],16         // Load Q_4
+      fmpy.s1 FR_G = FR_G, FR_G_3
+      nop.i 999
 }
+;;
+
 //
-//     Load Q_6
+//     H = H_1 + H_2 + H_3
 //
-{ .mmi
-(p0)   ldfe FR_Q_5 = [GR_Table_Ptr],16 ;; 
-(p0)   ldfe FR_Q_4 = [GR_Table_Ptr],16 
-	nop.i 999 ;;
-}
-{ .mmi
-(p0)   ldfe FR_Q_3 = [GR_Table_Ptr],16 ;; 
-(p0)   ldfe FR_Q_2 = [GR_Table_Ptr],16 
-	nop.i 999 ;;
+{ .mfi
+      ldfe FR_Q_3 = [GR_Table_Ptr],16         // Load Q_3
+      fadd.s1 FR_H = FR_H, FR_H_3
+      nop.i 999
 }
-{ .mmf
-	nop.m 999
-//
-//     poly_lo = Q_5 + r * Q_6
-//     Load Q_2
-//     rsq = r * r 
+;;
+
 //
-(p0)   ldfe FR_Q_1 = [GR_Table_Ptr],16 
+//     Y_lo = poly + Y_lo
 //
-//     h = h_1 + h_2 + h_3   
-//     H = H_1 + H_2 + H_3 
-//     Load G_3.
-//     Begin Loading Q's -  load log2_hi part
+//     h = h_1 + h_2 + h_3
 //
-(p0)   fmpy.s1 FR_G = FR_G, FR_G_3 
-}
 { .mfi
-	nop.m 999
-(p0)   fadd.s1 FR_H = FR_H, FR_H_3 
-	nop.i 999 
+      ldfe FR_Q_2 = [GR_Table_Ptr],16         // Load Q_2
+      fadd.s1 FR_h = FR_h, FR_h_3
+      nop.i 999
 }
 ;;
 
 //
-//     Y_lo = poly + Y_lo 
+//     GS_hi = G*S
+//     r = G*S -1
 //
-
-{ .mmi
-      nop.m 999
-(p0)  addl           GR_Table_Ptr   = @ltoff(Constants_exp_64_Arg#), gp
+{ .mfi
+      ldfe FR_Q_1 = [GR_Table_Ptr],16         // Load Q_1
+      fmpy.s1 FR_GS_hi = FR_G, FR_S
       nop.i 999
 }
-;;
-
-{ .mmi
-      ld8 GR_Table_Ptr = [GR_Table_Ptr]
+{ .mfi
       nop.m 999
+      fms.s1 FR_r = FR_G, FR_S, f1
       nop.i 999
 }
 ;;
 
-
-{ .mfi
-	nop.m 999
-(p0)   fadd.s1 FR_h = FR_h, FR_h_3 
-	nop.i 999 ;;
-}
-{ .mfi
-	nop.m 999
 //
-//     Load Q_5
+//     poly_lo = Q_5 + r * Q_6
 //
-(p0)   fmpy.s1 FR_GS_hi = FR_G, FR_S 
-	nop.i 999
-}
-{ .mfi
-	nop.m 999
-(p0)   fms.s1 FR_r = FR_G, FR_S, f1 
-	nop.i 999 ;;
-}
 { .mfi
-	nop.m 999
-(p0)   fma.s1 FR_poly_lo = FR_r, FR_Q_6, FR_Q_5 
-	nop.i 999
+      getf.exp GR_Delta_Exp =  FR_Delta     // Get signexp of y-1 for exp calc
+      fma.s1 FR_poly_lo = FR_r, FR_Q_6, FR_Q_5
+      nop.i 999
 }
-{ .mfi
-	nop.m 999
 //
-//     GS_hi = G*S
-//     Load Q_4
+//     r_cor = GS_hi -1
 //
-(p0)   fsub.s1 FR_r_cor = FR_GS_hi, f1 
-	nop.i 999 ;;
-}
-{ .mfi
-	nop.m 999
-(p0)   fms.s1 FR_GS_lo = FR_G, FR_S, FR_GS_hi 
-	nop.i 999
-}
 { .mfi
-	nop.m 999
-(p0)   fma.s1 FR_poly = FR_r, FR_Q_2, FR_Q_1 
-	nop.i 999 ;;
+      nop.m 999
+      fsub.s1 FR_r_cor = FR_GS_hi, f1
+      nop.i 999
 }
-{ .mfi
-	nop.m 999
+;;
+
 //
-//     Load Q_3
-//     r_cor = GS_hi -1
 //     GS_lo  = G*S - GS_hi
 //
-(p0)   fmpy.s1 FR_rsq = FR_r, FR_r 
-	nop.i 999
-}
 { .mfi
-	nop.m 999
-(p0)   fma.s1 FR_G = FR_float_N, FR_log2_hi, FR_H 
-	nop.i 999 ;;
+      nop.m 999
+      fms.s1 FR_GS_lo = FR_G, FR_S, FR_GS_hi
+      nop.i 999
 }
-{ .mfi
-	nop.m 999
+;;
+
 //
-//     poly = poly_hi + rsq * poly_lo 
-//     Tbl = float_N*log2_hi + H
+//     rsq = r * r
 //
-(p0)   fma.s1 FR_Y_lo = FR_float_N, FR_log2_lo, FR_h 
-	nop.i 999 ;;
-}
 { .mfi
-	nop.m 999
-//
-//     r_cor = r_cor - r
-//     poly_hi = r * Q_2 + Q_1
-//
-(p0)   fma.s1 FR_poly_lo = FR_r, FR_poly_lo, FR_Q_4 
-	nop.i 999
+      nop.m 999
+      fmpy.s1 FR_rsq = FR_r, FR_r
+      nop.i 999
 }
-{ .mfi
-	nop.m 999
 //
-//     Load Q_1
+//     G = float_N*log2_hi + H
 //
-(p0)   fsub.s1 FR_r_cor = FR_r_cor, FR_r 
-	nop.i 999 ;;
-}
 { .mfi
-	nop.m 999
-// 
-//     Y_lo = float_N*log2_lo + h
-// 
-(p0)   fadd.s1 FR_Y_hi = FR_G, FR_r 
-	nop.i 999 ;;
+      nop.m 999
+      fma.s1 FR_G = FR_float_N, FR_log2_hi, FR_H
+      nop.i 999
 }
-{ .mfi
-	nop.m 999
+;;
+
 //
-//     poly_lo = Q_4 + r * poly_lo;;
-//     r_cor = r_cor + GS_lo;;
+//     Y_lo = float_N*log2_lo + h
 //
-(p0)   fma.s1 FR_poly_lo = FR_r, FR_poly_lo, FR_Q_3 
-	nop.i 999
-}
 { .mfi
-	nop.m 999
-(p0)   fadd.s1 FR_r_cor = FR_r_cor, FR_GS_lo 
-	nop.i 999 ;;
-}
-{ .mfi
-	nop.m 999
-(p0)   fadd.s1 FR_r_cor = FR_r_cor, FR_Y_lo 
-	nop.i 999
+      nop.m 999
+      fma.s1 FR_Y_lo = FR_float_N, FR_log2_lo, FR_h
+      nop.i 999
 }
-{ .mfi
-	nop.m 999
+;;
+
 //
-//     poly_lo = Q_3 + r * poly_lo;;
+//      poly_lo = Q_4 + r * poly_lo
+//      r_cor = r_cor - r
 //
-(p0)   fma.s1 FR_poly = FR_rsq, FR_poly_lo, FR_poly 
-	nop.i 999 ;;
-}
 { .mfi
-	nop.m 999
-(p0)   fsub.s1 FR_Y_lo = FR_G, FR_Y_hi 
-	nop.i 999
-}
-{ .mmi
-(p0)   ldfe FR_L_Inv = [GR_Table_Ptr],16 ;; 
-(p0)   ldfe FR_L_hi = [GR_Table_Ptr],16 
-	nop.i 999 ;;
+      nop.m 999
+      fma.s1 FR_poly_lo = FR_r, FR_poly_lo, FR_Q_4
+      nop.i 999
 }
 { .mfi
-(p0)   ldfe FR_L_lo = [GR_Table_Ptr],16 
-	nop.f 999
-	nop.i 999 ;;
+      nop.m 999
+      fsub.s1 FR_r_cor = FR_r_cor, FR_r
+      nop.i 999
 }
-{ .mfi
-	nop.m 999
+;;
+
 //
-//     Y_hi = Tbl + r 
-//     r_cor = r_cor + Y_lo 
+//      poly_hi = r * Q_2 + Q_1
+//      Y_hi = G + r
 //
-(p0)   fma.s1 FR_poly = FR_rsq, FR_poly, FR_r_cor 
-	nop.i 999 ;;
-}
 { .mfi
-	nop.m 999
-//     Y_lo = Tbl - Y_hi 
-//     poly = rsq * poly + r_cor
-//
-(p0)   fadd.s1 FR_Y_lo = FR_Y_lo, FR_r 
-	nop.i 999 ;;
+      nop.m 999
+      fma.s1 FR_poly = FR_r, FR_Q_2, FR_Q_1
+      nop.i 999
 }
-{ .mfb
-	nop.m 999
-//
-//     Y_lo =  Y_lo + r  
-//
-(p0)   fadd.s1 FR_Y_lo = FR_Y_lo, FR_poly 
-//
-//     Load L_Inv
-//     Load L_hi
-//     Load L_lo
-//     all long before they are needed.
-//     They are used in LOGL_RETURN PATH
-//
-br.cond.sptk L(LOGL_RETURN) ;; 
+{ .mfi
+      nop.m 999
+      fadd.s1 FR_Y_hi = FR_G, FR_r
+      nop.i 999
 }
-L(LOGL80_NEAR): 
+;;
+
 //
-//     Branch LOGL80_NEAR
+//      poly_lo = Q_3 + r * poly_lo
+//      r_cor = r_cor + GS_lo
 //
-
-{ .mmi
+{ .mfi
       nop.m 999
-(p0)  addl           GR_Table_Ptr   = @ltoff(Constants_log_80_P#), gp
+      fma.s1 FR_poly_lo = FR_r, FR_poly_lo, FR_Q_3
       nop.i 999
 }
-;;
-
-{ .mmi
-      ld8 GR_Table_Ptr = [GR_Table_Ptr]
+{ .mfi
       nop.m 999
+      fadd.s1 FR_r_cor = FR_r_cor, FR_GS_lo
       nop.i 999
 }
 ;;
 
-{ .mfi
-	nop.m 999
-(p0)   fmpy.s1 FR_Wsq = FR_W, FR_W 
-(p0)   add GR_Table_Ptr1 = 0x50,GR_Table_Ptr  
-}
 //
-//     Adjust ptr to 1/2 
-//     Adjust Ptr1 to P_4
+//      Y_lo = G - Y_hi
 //
-{ .mmi
-(p0)   ldfe FR_Half = [GR_Table_Ptr],16 ;; 
-(p0)   ldfe FR_P_4 = [GR_Table_Ptr1],16 
-	nop.i 999
+{ .mfi
+      nop.m 999
+      fsub.s1 FR_Y_lo_2 = FR_G, FR_Y_hi
+      nop.i 999
 }
+;;
+
 //
-//     Load 1/2 
+//      r_cor = r_cor + Y_lo
+//      poly = poly_hi + rsq * poly_lo
 //
-{ .mmi
-(p0)   ldfe FR_P_8 = [GR_Table_Ptr],16 ;; 
-(p0)   ldfe FR_P_3 = [GR_Table_Ptr1],16 
-	nop.i 999
+{ .mfi
+      add  GR_Table_Ptr   = 0x0, GR_table_base   // Constants_exp_64_Arg
+      fadd.s1 FR_r_cor = FR_r_cor, FR_Y_lo
+      nop.i 999
 }
-{ .mmi
-(p0)   ldfe FR_P_7 = [GR_Table_Ptr],16 ;; 
-(p0)   ldfe FR_P_2 = [GR_Table_Ptr1],16 
-	nop.i 999
+{ .mfi
+      nop.m 999
+      fma.s1 FR_poly = FR_rsq, FR_poly_lo, FR_poly
+      nop.i 999
 }
+;;
+
 //
-//     Load P_7
-//     half_W = .5 * W
-//     Load P_3
-//
-{ .mmi
-(p0)   ldfe FR_P_6 = [GR_Table_Ptr],16 ;; 
-(p0)   ldfe FR_P_1 = [GR_Table_Ptr1],16 
-	nop.i 999 ;;
-}
+//      Load L_hi
+//      Load L_lo
+//      all long before they are needed.
+//      They are used in LOGL_RETURN PATH
 //
-//     Load P_6
-//     Wsq = w * w
-//     poly = w*P_4 + P_3 
-//     Load P_2
+//      Y_lo =  Y_lo + r
+//      poly = rsq * poly + r_cor
 //
 { .mfi
-(p0)   ldfe FR_P_5 = [GR_Table_Ptr],16 
-//
-//     Load P_5
-//     poly_lo =  w * P_8 + P_7 
-//     Y_hi = w - (1/2)w*w
-//     Load P_1
-//
-(p0)   fmpy.s1 FR_W4 = FR_Wsq, FR_Wsq 
-	nop.i 999
+      ldfe FR_L_hi = [GR_Table_Ptr],16           // Load L_hi
+      fadd.s1 FR_Y_lo = FR_Y_lo_2, FR_r
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-(p0)   fmpy.s1 FR_W3 = FR_Wsq, FR_W 
-	nop.i 999 
+      nop.m 999
+      fma.s1 FR_poly = FR_rsq, FR_poly, FR_r_cor
+      nop.i 999
 }
 ;;
 
+{ .mfb
+      ldfe FR_L_lo = [GR_Table_Ptr],16           // Load L_lo
+      fadd.s1 FR_Y_lo = FR_Y_lo, FR_poly
+      br.cond.sptk LOGL_RETURN                   // Branch to common code
+}
+;;
+
+
+LOGL80_NEAR:
+// Here if |x-1| < 2^-8
 //
-//     Y_lo = W3 * poly + Y_lo
+//     Branch LOGL80_NEAR
 //
 
+{ .mmf
+      ldfe FR_P_8 = [GR_P_ptr1],16           // Load P_8
+      ldfe FR_P_4 = [GR_P_ptr2],16           // Load P_4
+      fmpy.s1 FR_Wsq = FR_W, FR_W
+}
+;;
+
 { .mmi
-      nop.m 999
-(p0)  addl           GR_Table_Ptr   = @ltoff(Constants_exp_64_Arg#), gp
+      ldfe FR_P_7 = [GR_P_ptr1],16           // Load P_7
+      ldfe FR_P_3 = [GR_P_ptr2],16           // Load P_3
       nop.i 999
 }
 ;;
 
 { .mmi
-      ld8 GR_Table_Ptr = [GR_Table_Ptr]
-      nop.m 999
+      ldfe FR_P_6 = [GR_P_ptr1],16           // Load P_6
+      ldfe FR_P_2 = [GR_P_ptr2],16           // Load P_2
       nop.i 999
 }
 ;;
 
-
 { .mmi
-(p0)   ldfe FR_L_Inv = [GR_Table_Ptr],16 ;; 
-(p0)   ldfe FR_L_hi = [GR_Table_Ptr],16 
-	nop.i 999 ;;
-}
-{ .mfi
-(p0)   ldfe FR_L_lo = [GR_Table_Ptr],16 
-//
-//     Load P_8
-//     Load P_4
-//
-(p0)   fmpy.s1 FR_half_W = FR_Half, FR_W 
-	nop.i 999 ;;
+      ldfe FR_P_5 = [GR_P_ptr1],16           // Load P_5
+      ldfe FR_P_1 = [GR_P_ptr2],16           // Load P_1
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p0)   fma.s1 FR_poly_lo = FR_W, FR_P_8,FR_P_7 
-	nop.i 999
+      getf.exp GR_Delta_Exp =  FR_Delta      // Get signexp of y-1 for exp calc
+      fmpy.s1 FR_W4 = FR_Wsq, FR_Wsq
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-(p0)   fma.s1 FR_poly = FR_W, FR_P_4, FR_P_3 
-	nop.i 999 ;;
+      add  GR_Table_Ptr = 0x0, GR_table_base // Constants_exp_64_Arg
+      fmpy.s1 FR_W3 = FR_Wsq, FR_W
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p0)   fnma.s1 FR_Y_hi = FR_W, FR_half_W, FR_W 
-	nop.i 999 ;;
+      nop.m 999
+      fmpy.s1 FR_half_W = FR_Half, FR_W
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-//
-//     W4 = Wsq * Wsq
-//     poly = w *poly + P_2
-//
-(p0)   fma.s1 FR_poly_lo = FR_W, FR_poly_lo, FR_P_6 
-	nop.i 999
+      ldfe FR_L_hi = [GR_Table_Ptr],16
+      fma.s1 FR_poly_lo = FR_W, FR_P_8,FR_P_7
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-(p0)   fma.s1 FR_poly = FR_W, FR_poly, FR_P_2 
-	nop.i 999 ;;
+      nop.m 999
+      fma.s1 FR_poly = FR_W, FR_P_4, FR_P_3
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p0)   fsub.s1 FR_Y_lo = FR_W, FR_Y_hi 
-	nop.i 999 ;;
+      ldfe FR_L_lo = [GR_Table_Ptr],16
+      fnma.s1 FR_Y_hi = FR_W, FR_half_W, FR_W
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-//
-//     poly = w * poly + P_1
-//     w3 = wsq * w
-//
-(p0)   fma.s1 FR_poly_lo = FR_W, FR_poly_lo, FR_P_5 
-	nop.i 999
+      nop.m 999
+      fma.s1 FR_poly_lo = FR_W, FR_poly_lo, FR_P_6
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-//
-//     poly_lo = w * poly_lo + P_6
-//     Y_lo = W - Y_hi
-//
-(p0)   fma.s1 FR_poly = FR_W, FR_poly, FR_P_1 
-	nop.i 999 ;;
+      nop.m 999
+      fma.s1 FR_poly = FR_W, FR_poly, FR_P_2
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p0)   fnma.s1 FR_Y_lo = FR_W, FR_half_W, FR_Y_lo 
-	nop.i 999 ;;
+      nop.m 999
+      fsub.s1 FR_Y_lo = FR_W, FR_Y_hi
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-//
-//     poly_lo = w * poly_lo + 
-//     Y_lo = Y_lo - w * (1/2)w
-//
-(p0)   fma.s1 FR_poly = FR_poly_lo, FR_W4, FR_poly 
-	nop.i 999 ;;
+      nop.m 999
+      fma.s1 FR_poly_lo = FR_W, FR_poly_lo, FR_P_5
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-//
-//     Y_lo = (W-Y_hi) - w * (1/2)w
-//     poly =  W4* poly_lo + poly 
-//
-(p0)   fma.s1 FR_Y_lo = FR_poly, FR_W3, FR_Y_lo 
-	nop.i 999 ;;
+      nop.m 999
+      fma.s1 FR_poly = FR_W, FR_poly, FR_P_1
+      nop.i 999
 }
-L(LOGL_RETURN): 
+;;
+
 { .mfi
-(p0)   add GR_Expo_Range = 0x2,r0  
-//
-//     Load L_Inv
-//     Load L_hi
-//     Load L_lo
-//     all long before they are needed.
-//
-//
-//     kernel_log_80 computed ln(X)
-//     and return logX_hi and logX_lo as results.
-//     PR_pow_Safe set as well. 
-//
-(p0)   fmpy.s1 FR_X_lo = FR_Input_Y, FR_logx_lo 
-//
-//     Compute Y * (logX_hi + logX_lo) 
-//     P_hi -> X 
-//     P_lo -> X_cor 
-//     (Manipulate names so that inputs are in
-//     the place kernel_exp expects them)
-//     Set GR_Flag to 2 
-//     Set GR_Expo_Range to Double
-// 
-//     This function computes exp( x  + x_cor) 
-//     Input  FR 1: FR_X            
-//     Input  FR 2: FR_X_cor  
-//     Input  GR 1: GR_Flag  
-//     Input  GR 2: GR_Expo_Range  
-//     Output FR 3: FR_Y_hi  
-//     Output FR 4: FR_Y_lo  
-//     Output FR 5: FR_Scale  
-//     Output PR 1: PR_Safe  
-// 
-(p0)   cmp.eq.unc  p15, p0 =  r0, r0 
+      nop.m 999
+      fnma.s1 FR_Y_lo = FR_W, FR_half_W, FR_Y_lo
+      nop.i 999
 }
 ;;
 
-{ .mmi
-(p0)  addl           GR_W1_ptr   = @ltoff(Constants_exp_64_W1#), gp
-(p0)  addl           GR_W2_ptr   = @ltoff(Constants_exp_64_W2#), gp
-(p0)  add GR_Flag = 0x2,r0  
+{ .mfi
+      nop.m 999
+      fma.s1 FR_poly = FR_poly_lo, FR_W4, FR_poly
+      nop.i 999
 }
 ;;
 
-{ .mmi
-      ld8 GR_W1_ptr = [GR_W1_ptr]
-      ld8 GR_W2_ptr = [GR_W2_ptr]
-(p0)   cmp.ne.unc  p7, p0 =  0x1, GR_Flag 
+{ .mfi
+      nop.m 999
+      fma.s1 FR_Y_lo = FR_poly, FR_W3, FR_Y_lo
+      nop.i 999
 }
 ;;
 
-{ .mlx
-	nop.m 999
-(p0)   movl GR_Mask = 0x1FFFF ;; 
-}
 
+LOGL_RETURN:
+// Common code for completion of both logx paths
 
-{ .mlx
-	nop.m 999
-(p0)   movl GR_BIAS = 0x0FFFF ;; 
-}
-{ .mfi
-	nop.m 999
 //
-//     X_lo =  Y * logX_lo
+//     L_hi, L_lo already loaded.
 //
-(p0)   fma.s1 FR_P_hi = FR_Input_Y, FR_logx_hi,FR_X_lo 
-	nop.i 999 ;;
-}
-{ .mfi
-	nop.m 999
 //
-//     Set Safe=True 
-//     Flag is always 2 for this routine
+//     kernel_log_80 computed ln(X)
+//     and return logX_hi and logX_lo as results.
+//     PR_pow_Safe set as well.
 //
-(p0)   fmpy.s1 FR_float_N = FR_X, FR_L_Inv 
-	nop.i 999
-}
-{ .mfi
-	nop.m 999
 //
-//     X_hi  = Y * logX_hi + X_lo
-//     Set GR_Flag = 2 for exp(x + xcor)
+//     Compute Y * (logX_hi + logX_lo)
+//     P_hi -> X
+//     P_lo -> X_cor
+//     (Manipulate names so that inputs are in
+//     the place kernel_exp expects them)
 //
-(p0)   fms.s1 FR_P_lo= FR_Input_Y, FR_logx_hi, FR_P_hi 
-	nop.i 999 ;;
+//     This function computes exp( x  + x_cor)
+//     Input  FR 1: FR_X
+//     Input  FR 2: FR_X_cor
+//     Output FR 3: FR_Y_hi
+//     Output FR 4: FR_Y_lo
+//     Output FR 5: FR_Scale
+//     Output PR 1: PR_Safe
+//
+//     P15 is True
+//
+// Load constants used in computing N using right-shift technique
+{ .mlx
+      mov GR_exp_2tom51 = 0xffff-51
+      movl GR_sig_inv_ln2 = 0xb8aa3b295c17f0bc  // significand of 1/ln2
 }
-{ .mmi
-	nop.m 999 ;;
-(p0)   getf.exp GR_Expo_X = FR_X 
-	nop.i 999 ;;
+{ .mlx
+      add  GR_Special_Exp = -50,GR_exp_bias
+      movl GR_rshf_2to51 = 0x4718000000000000   // 1.10000 2^(63+51)
 }
-{ .mfi
-(p0)   and GR_Expo_X = GR_Expo_X, GR_Mask  
+;;
+
 //
-//     Calculate unBIASed exponent of X
 //     Point to Table of W1s
 //     Point to Table of W2s
 //
-(p0)   fcvt.fx.s1 FR_N = FR_float_N 
-	nop.i 999 ;;
-}
+{ .mmi
+      add GR_W1_ptr   = 0x2b0, GR_table_base    // Constants_exp_64_W1
+      add GR_W2_ptr   = 0x4b0, GR_table_base    // Constants_exp_64_W2
+      cmp.le p6,p0= GR_Delta_Exp,GR_Special_Exp
+};;
+
+// Form two constants we need
+//  1/ln2 * 2^63  to compute  w = x * 1/ln2 * 128
+//  1.1000..000 * 2^(63+63-12) to right shift int(N) into the significand
+
 { .mfi
-	nop.m 999
-(p0)   fadd.s1 FR_P_lo = FR_P_lo, FR_X_lo 
-//
-//     Float_N = X * L_Inv
-//     Create exponent BIAS
-//     Get BIASed exponent of X
-//
-(p0)   sub GR_Expo_X = GR_Expo_X, GR_BIAS ;;  
+      setf.sig  FR_INV_LN2_2TO63 = GR_sig_inv_ln2 // form 1/ln2 * 2^63
+      nop.f 999
+      and GR_Delta_Exp=GR_Delta_Exp,GR_exp_mask  // Get exponent of y-1
 }
-{ .mib
-(p0)   cmp.gt.unc  p9, p0  =  -6, GR_Expo_X 
-	nop.i 999
-//
-//     N = fcvt.fx(float_N)
-//     If -6 > Expo_X, set P9
-//
-(p9)   br.cond.spnt L(EXPL_SMALL) 
+{ .mlx
+      setf.d  FR_RSHF_2TO51 = GR_rshf_2to51    // Form const 1.1000 * 2^(63+51)
+      movl GR_rshf = 0x43e8000000000000        // 1.10000 2^63 for right shift
 }
 ;;
 
-//
-//     If expo_X < -6 goto exp_small
-//
-{ .mmi
+{ .mfi
       nop.m 999
-(p0)  addl           GR_T1_ptr   = @ltoff(Constants_exp_64_T1#), gp
-(p0)  cmp.lt.unc  p10, p0 =  14, GR_Expo_X 
+      fmpy.s1 FR_X_lo = FR_Input_Y, FR_logx_lo // logx_lo is Y_lo
+      cmp.eq  p15, p0=  r0, r0                 // Set p15, assume safe
+};;
+
+{ .mmi
+      setf.exp FR_2TOM51 = GR_exp_2tom51 // Form 2^-51 for scaling float_N
+      setf.d  FR_RSHF = GR_rshf          // Form right shift const 1.1000 * 2^63
+      add GR_Table_Ptr1   = 0x50, GR_table_base // Constants_exp_64_P for
+                                                // EXPL_SMALL path
 }
 ;;
 
 { .mmi
-      ld8 GR_T1_ptr = [GR_T1_ptr]
-      nop.m 999
+      ldfe FR_P_6 = [GR_Table_Ptr1],16          // Load P_6 for EXPL_SMALL path
+;;
+      ldfe FR_P_5 = [GR_Table_Ptr1],16          // Load P_5 for EXPL_SMALL path
       nop.i 999
 }
 ;;
 
-{ .mib
-	nop.m 999
-	nop.i 999
-//
-//     If 14 < Expo_X, set P10
-//     Create pointer to T1 table
-//  
-(p10)  br.cond.spnt L(EXPL_HUGE) ;;
+{ .mfi
+      ldfe FR_P_4 = [GR_Table_Ptr1],16          // Load P_4 for EXPL_SMALL path
+      fma.s1 FR_P_hi = FR_Input_Y, FR_logx_hi,FR_X_lo  // logx_hi ix Y_hi
+      nop.i 999
 }
-
+;;
 
 { .mmi
-(p0)  addl           GR_Table_Ptr   = @ltoff(Constants_exp_64_Exponents#), gp
-(p0)  addl           GR_T2_ptr   = @ltoff(Constants_exp_64_T2#), gp
+      ldfe FR_P_3 = [GR_Table_Ptr1],16          // Load P_3 for EXPL_SMALL path
+;;
+      ldfe FR_P_2 = [GR_Table_Ptr1],16          // Load P_2 for EXPL_SMALL path
       nop.i 999
 }
 ;;
 
-{ .mmi
-      ld8 GR_Table_Ptr = [GR_Table_Ptr]
-      ld8 GR_T2_ptr = [GR_T2_ptr]
+// N = X * Inv_log2_by_2^12
+// By adding 1.10...0*2^63 we shift and get round_int(N_signif) in significand.
+// We actually add 1.10...0*2^51 to X * Inv_log2 to do the same thing.
+{ .mfi
+      ldfe FR_P_1 = [GR_Table_Ptr1]             // Load P_1 for EXPL_SMALL path
+      fma.s1 FR_N = FR_X, FR_INV_LN2_2TO63, FR_RSHF_2TO51
       nop.i 999
 }
+{ .mfb
+      nop.m 999
+      fms.s1 FR_P_lo= FR_Input_Y, FR_logx_hi, FR_P_hi  // P_hi is X
+(p6)  br.cond.spnt POWL_Y_ALMOST_1              // Branch if |y-1| < 2^-50
+}
 ;;
 
-
 { .mmi
-(p0)   shladd GR_Table_Ptr = GR_Expo_Range,4,GR_Table_Ptr ;;  
-//
-//     Adjust T1_ptr by x 4 for single-precision values
-//     Adjust T2_ptr by x 4 for single-precision values
-//
-(p0)   ld8 GR_Big_Pos_Exp = [GR_Table_Ptr],8
-	nop.i 999 ;;
-}
-//
-//     Load double W1
-//     Load +max exponent
-//
-{ .mfi
-(p0)   ld8 GR_Big_Neg_Exp = [GR_Table_Ptr],0
-//
-//     If 14 < Expo_X, goto exp_huge
-//
-(p0)   fcvt.xf FR_float_N = FR_N 
-	nop.i 999 
+      getf.exp GR_Expo_X = FR_X
+      add GR_T1_ptr   = 0x0b0, GR_table_base    // Constants_exp_64_T1
+      add GR_T2_ptr   = 0x1b0, GR_table_base    // Constants_exp_64_T2
 }
 ;;
 
-//
-//     Load double W2
-//     Load -max exponent
-//     Load ptr to A's
-//
+// float_N = round_int(N)
+// The signficand of N contains the rounded integer part of X * 2^12/ln2,
+// as a twos complement number in the lower bits (that is, it may be negative).
+// That twos complement number (called N) is put into GR_N_fix.
 
-{ .mmi
-(p0)  getf.sig GR_N_fix = FR_N 
-(p0)  addl           GR_Table_Ptr   = @ltoff(Constants_exp_64_A#), gp
+// Since N is scaled by 2^51, it must be multiplied by 2^-51
+// before the shift constant 1.10000 * 2^63 is subtracted to yield float_N.
+// Thus, float_N contains the floating point version of N
+
+
+{ .mfi
+      add  GR_Table_Ptr   = 0x20, GR_table_base    // Constants_exp_64_A
+      fms.s1 FR_float_N = FR_N, FR_2TOM51, FR_RSHF // Form float_N
       nop.i 999
 }
-;;
+//     Create low part of Y(ln(x)_hi + ln(x)_lo) as P_lo
+{ .mfi
+      mov GR_Big_Pos_Exp = 0x3ffe               // 16382, largest safe exponent
+      fadd.s1 FR_P_lo = FR_P_lo, FR_X_lo
+      mov GR_Big_Neg_Exp = -0x3ffd              // -16381 smallest safe exponent
+};;
 
-{ .mmi
-      ld8 GR_Table_Ptr = [GR_Table_Ptr]
+{ .mfi
       nop.m 999
-      nop.i 999
+      fmpy.s1 FR_rsq = FR_X, FR_X               // rsq = X*X for EXPL_SMALL path
+      mov GR_vsm_expo = -70                     // Exponent for very small path
+}
+{ .mfi
+      nop.m 999
+      fma.s1 FR_poly_lo = FR_P_6, FR_X, FR_P_5  // poly_lo for EXPL_SMALL path
+      add GR_temp = 0x1,r0                      // For tiny signif if small path
 }
 ;;
 
 //
-//     Load single T1
-//     Load single T2
-//     W_1_p1 = W_1 + 1
-//
-{ .mmi
-(p0)   ldfe FR_A_3 = [GR_Table_Ptr],16 ;; 
-//
-//     Load A_3
-//     if k > big_pos_exp, set p14 and Safe=False
-//
-(p0)   ldfe FR_A_2 = [GR_Table_Ptr],16 
-(p0)   extr.u GR_M1 = GR_N_fix, 6, 6  
-}
-{ .mmi
-	nop.m 999 ;;
-(p0)   shladd GR_W1_ptr = GR_M1,3,GR_W1_ptr  
-//
-//     float_N = fcvt.xf(N) 
-//     N_fix = significand of N
-//     Create pointer to T2 table
-//
-(p0)   extr.u GR_M2 = GR_N_fix, 0, 6  
-}
-//
-//     r = r + X_cor
-//     Adjust W1_ptr by x 8 for double-precision values
-//     Adjust W2_ptr by x 8 for double-precision values
-//     Adjust Table_ptr by Expo_Rangex16 
+//      If expo_X < -6 goto exp_small
 //
 { .mmi
-(p0)   shladd GR_T1_ptr = GR_M1,2,GR_T1_ptr ;;  
-(p0)   ldfd  FR_W1 = [GR_W1_ptr],0 
-(p0)   shladd GR_W2_ptr = GR_M2,3,GR_W2_ptr  
+      getf.sig GR_N_fix = FR_N
+      ldfe FR_A_3 = [GR_Table_Ptr],16         // Load A_3
+      and GR_Expo_X = GR_Expo_X, GR_exp_mask  // Get exponent of X
 }
-//
-//     Load ptr to A's
-//
+;;
+
 { .mfi
-(p0)   ldfs  FR_T1 = [GR_T1_ptr],0 
-(p0)   fnma.s1 FR_r = FR_L_hi, FR_float_N, FR_X 
-(p0)   shladd GR_T2_ptr = GR_M2,2,GR_T2_ptr ;; 
+      ldfe FR_A_2 = [GR_Table_Ptr],16         // Load A_2
+      nop.f 999
+      sub GR_Expo_X = GR_Expo_X, GR_exp_bias  // Get true exponent of X
 }
-{ .mmi
-(p0)   ldfd  FR_W2 = [GR_W2_ptr],0 
-(p0)   ldfs  FR_T2 = [GR_T2_ptr],0 
+;;
+
 //
-//     r = x - L_hi * float_N
-//     M2 = extr.u(N_fix,0,6)
-//     M1 = extr.u(N_fix,6,6)
+//     If -6 > Expo_X, set P9 and branch
 //
-(p0)   extr GR_k = GR_N_fix, 12, 52 ;;  
+{ .mfb
+      cmp.gt  p9, p0  =  -6, GR_Expo_X
+      fnma.s1 FR_r = FR_L_hi, FR_float_N, FR_X // r = X - L_hi * float_N
+(p9)  br.cond.spnt EXPL_SMALL                  // Branch if |X| < 2^-6
 }
+;;
+
 //
-//     Load A_1
-//     poly = A_3 * r + A_2
-//     rsq = r*r
+//     If 14 <= Expo_X, set P10
 //
-{ .mii
-(p0)   add GR_BIAS_p_k = GR_BIAS, GR_k  
-(p0)   cmp.gt.unc  p14,p15 = GR_k,GR_Big_Pos_Exp ;; 
-(p15)  cmp.lt p14,p15 = GR_k,GR_Big_Neg_Exp
+{ .mib
+      cmp.le  p10, p0 =  14, GR_Expo_X
+      nop.i 999
+(p10) br.cond.spnt EXPL_HUGE                   // Branch if |X| >= 2^14
 }
+;;
+
 //
-//     BIAS_p_K = BIAS + k
-//     T = T1 * T2
+//      Load single T1
+//      Load single T2
+//      W_1_p1 = W_1 + 1
 //
-{ .mfi
-(p0)   setf.exp FR_Scale = GR_BIAS_p_k  
-	nop.f 999
-	nop.i 999 ;;
-}
-{ .mfi
-	nop.m 999
-(p0)   fnma.s1 FR_r = FR_L_lo, FR_float_N, FR_r 
-	nop.i 999
+{ .mmi
+      nop.m 999
+      nop.m 999
+      extr.u GR_M1 = GR_N_fix, 6, 6            // Extract index M_1
 }
+;;
+
 //
-//     W = W_1_p1 * W2 + W1
+//      k = extr.u(N_fix,0,6)
 //
-{ .mfi
-(p0)   ldfe FR_A_1 = [GR_Table_Ptr],16 
-	nop.f 999
-	nop.i 999 ;;
+{ .mmi
+      shladd GR_W1_ptr = GR_M1,3,GR_W1_ptr     // Point to W1
+      shladd GR_T1_ptr = GR_M1,2,GR_T1_ptr     // Point to T1
+      extr.u GR_M2 = GR_N_fix, 0, 6            // Extract index M_2
 }
-{ .mfi
-	nop.m 999
-(p0)   fadd.s1 FR_W_1_p1 = FR_W1, f1 
-	nop.i 999 ;;
+;;
+
+// N_fix is only correct up to 50 bits because of our right shift technique.
+// Actually in the normal path we will have restricted K to about 14 bits.
+// Somewhat arbitrarily we extract 32 bits.
+{ .mmi
+      ldfd  FR_W1 = [GR_W1_ptr]
+      shladd GR_W2_ptr = GR_M2,3,GR_W2_ptr     // Point to W2
+      extr GR_k = GR_N_fix, 12, 32             // Extract k
 }
+;;
+
 { .mfi
-	nop.m 999
-//
-//     k = extr.u(N_fix,0,6)
-//     r = r - N * L_lo
-//     Load ptr to Table of exponent thresholds.
-//
-(p0)   fadd.s1 FR_r = FR_r, FR_X_cor 
-	nop.i 999
+      ldfs  FR_T1 = [GR_T1_ptr]
+      fnma.s1 FR_r = FR_L_lo, FR_float_N, FR_r
+      shladd GR_T2_ptr = GR_M2,2,GR_T2_ptr     // Point to T2
 }
 { .mfi
-	nop.m 999
-(p0)   fmpy.s1 FR_T = FR_T1, FR_T2 
-	nop.i 999 ;;
+      add GR_exp_bias_p_k = GR_exp_bias, GR_k
+      nop.f 999
+      cmp.gt  p14,p15 = GR_k,GR_Big_Pos_Exp
 }
-{ .mfi
-	nop.m 999
+;;
+
 //
-//     if k < big_neg_exp, set p14 and Safe=False
-//     Load A_2
+//      if k < big_neg_exp, set p14 and Safe=False
 //
-(p0)   fma.s1 FR_W = FR_W2, FR_W_1_p1, FR_W1 
-	nop.i 999 ;;
+{ .mmi
+      ldfs  FR_T2 = [GR_T2_ptr]
+(p15) cmp.lt p14,p15 = GR_k,GR_Big_Neg_Exp
+      nop.i 999
 }
-{ .mfi
-	nop.m 999
-(p0)   fma.s1 FR_poly = FR_r, FR_A_3, FR_A_2 
-	nop.i 999
+;;
+
+{ .mmi
+      setf.exp FR_Scale = GR_exp_bias_p_k
+      ldfd  FR_W2 = [GR_W2_ptr]
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p0)   fmpy.s1 FR_rsq = FR_r, FR_r 
-	nop.i 999 ;;
+      ldfe FR_A_1 = [GR_Table_Ptr],16
+      fadd.s1 FR_r = FR_r, FR_X_cor
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p0)   mov FR_Y_hi = FR_T 
-	nop.i 999 ;;
+      nop.m 999
+      fadd.s1 FR_W_1_p1 = FR_W1, f1
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-//
-//     Scale = set_exp(BIAS_p_k)
-//     poly = r * poly + A_1
-//
-(p0)   fadd.s1 FR_Wp1 = FR_W, f1 
-	nop.i 999 ;;
+      nop.m 999
+      fma.s1 FR_poly = FR_r, FR_A_3, FR_A_2
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-(p0)   fma.s1 FR_poly = FR_r, FR_poly, FR_A_1 
-	nop.i 999 ;;
+      nop.m 999
+      fmpy.s1 FR_rsq = FR_r, FR_r
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p0)   fma.s1 FR_poly = FR_rsq, FR_poly,FR_r  
-	nop.i 999 ;;
+      nop.m 999
+      fmpy.s1 FR_T = FR_T1, FR_T2
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-//
-//     Wp1 =  W + 1
-//     poly = rsq * poly + rk
-//
-(p0)   fma.s1 FR_Y_lo = FR_Wp1, FR_poly, FR_W 
-	nop.i 999 ;;
-}
-{ .mfb
-	nop.m 999
-//
-//     Y_lo = poly * Wp1 + W 
-//     Y_hi = T
-//
-(p0)   fmpy.s1 FR_Y_lo = FR_Y_lo, FR_T 
-//
-//     Y_lo = T * Y_lo
-//
-(p0)   br.cond.sptk L(EXPL_RETURN) ;; 
+      nop.m 999
+      fma.s1 FR_W = FR_W2, FR_W_1_p1, FR_W1
+      nop.i 999
 }
+;;
 
-L(EXPL_SMALL): 
-
-//
-//     r4 = rsq * rsq
-//
-
-{ .mmi
+{ .mfi
       nop.m 999
-(p0)  addl           GR_Table_Ptr1   = @ltoff(Constants_exp_64_P), gp
+      fma.s1 FR_TMP1 = FR_Scale, FR_Sgn, f0
       nop.i 999
 }
 ;;
 
-{ .mmi
-      ld8 GR_Table_Ptr1 = [GR_Table_Ptr1]
+{ .mfi
       nop.m 999
+      fma.s1 FR_poly = FR_r, FR_poly, FR_A_1
       nop.i 999
 }
 ;;
 
-{ .mmf
-	nop.m 999
-(p0)   ldfe FR_P_6 = [GR_Table_Ptr1],16 
-//
-//     Return  
-//
-(p0)   fadd.s1 FR_r = FR_X,f0 ;; 
+{ .mfi
+      nop.m 999
+      fma.s1 FR_TMP2 = FR_T, f1, f0            // TMP2 = Y_hi = T
+      nop.i 999
 }
+;;
 
-{ .mmi
+{ .mfi
       nop.m 999
-(p0)  addl           GR_Table_Ptr   = @ltoff(Constants_exp_64_Exponents#), gp
+      fadd.s1 FR_Wp1 = FR_W, f1
       nop.i 999
 }
 ;;
 
-{ .mmi
-      ld8 GR_Table_Ptr = [GR_Table_Ptr]
-(p0)  ldfe FR_P_5 = [GR_Table_Ptr1],16 
+{ .mfi
+      nop.m 999
+      fma.s1 FR_poly = FR_rsq, FR_poly,FR_r
       nop.i 999
 }
 ;;
 
-//
-//     Is input very small? 
-//     Load P_5
-//
-{ .mii
-(p0)   ldfe FR_P_4 = [GR_Table_Ptr1],16 
-(p0)   add GR_Table_Ptr = 0x040,GR_Table_Ptr ;;  
-(p0)   shladd GR_Table_Ptr = GR_Expo_Range,3,GR_Table_Ptr ;;  
-}
-{ .mmb
-(p0)   ldfe FR_P_3 = [GR_Table_Ptr1],16 
-//
-//     Adjust ptr.
-//
-(p0)   ld8  GR_vsm_expo = [GR_Table_Ptr],0
-	nop.b 999 ;;
-}
 { .mfi
-	nop.m 999
-//
-//     r = X (don't seem to need X_Cor) 
-//     Load the threshold exponents
-//
-(p0)   fmpy.s1 FR_rsq = FR_r, FR_r 
-	nop.i 999 ;;
+      nop.m 999
+      fma.s1 FR_Tscale = FR_T, FR_TMP1, f0    // Scale * Sgn * T
+      nop.i 999
 }
-//
-//     Load the negative integer
-//     Load P_5
-//
 { .mfi
-(p0)   cmp.lt.unc  p12, p0 =  GR_Expo_X, GR_vsm_expo 
-	nop.f 999
-	nop.i 999 ;;
+      nop.m 999
+      fma.s1 FR_Y_lo = FR_Wp1, FR_poly, FR_W
+      nop.i 999
 }
+;;
+
 { .mfb
-	nop.m 999
-//
-//     rsq = r * r
-//     Offset into exponents
-//
-(p0)   fmpy.s1 FR_r4 = FR_rsq, FR_rsq 
-(p12)  br.cond.spnt L(EXPL_VERY_SMALL) ;; 
+      nop.m 999
+      fmpy.s1 FR_TMP3 = FR_Y_lo, FR_Tscale
+      br.cond.sptk POWL_64_SHARED
 }
-{ .mfi
-(p0)   ldfe FR_P_2 = [GR_Table_Ptr1],16 
-//
-//     Load p4,p3,p2,p1
-//
-(p0)   fma.s1 FR_poly_lo = FR_P_6, FR_r, FR_P_5 
+;;
+
+
+EXPL_SMALL:
+// Here if |ylogx| < 2^-6
 //
-//     Y_lo = r4 * poly_lo + poly_hi
-//     Scale = 1.0
+//     Begin creating lsb to perturb final result
 //
-(p0)   add GR_temp = 0x1,r0 ;;  
+{ .mfi
+      setf.sig FR_temp = GR_temp
+      fma.s1 FR_poly_lo = FR_poly_lo, FR_X, FR_P_4
+      cmp.lt  p12, p0 =  GR_Expo_X, GR_vsm_expo   // Test |ylogx| < 2^-70
 }
-{ .mmf
-	nop.m 999
-(p0)   ldfe FR_P_1 = [GR_Table_Ptr1],0 
-(p0)   mov FR_Scale = f1 
+{ .mfi
+      nop.m 999
+      fma.s1 FR_poly_hi = FR_P_2, FR_X, FR_P_1
+      nop.i 999
 }
-//
-//     Begin creating lsb to perturb final result
-//
+;;
+
 { .mfi
-(p0)   setf.sig FR_temp = GR_temp 
-(p0)   mov FR_Y_hi = f1 
-	nop.i 999 ;;
+      nop.m 999
+      fmpy.s1 FR_TMP2 = f1, f1
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-//
-//     poly_lo = p_5 + p_6 * r
-//     poly_hi = p_1 + p_2 * r
-//
-(p0)   fma.s1 FR_poly_lo = FR_poly_lo, FR_r, FR_P_4 
-	nop.i 999 ;;
+      nop.m 999
+      fmpy.s1 FR_TMP1 = FR_Sgn, f1
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-//
-//     poly_lo = p_4 + poly_lo * r
-//     poly_hi = r + poly_hi * rsq
-//
-(p0)   fma.s1 FR_poly_lo = FR_poly_lo, FR_r, FR_P_3 
-	nop.i 999
+      nop.m 999
+      fmpy.s1 FR_r4 = FR_rsq, FR_rsq
+(p12) cmp.eq  p15, p0 =  r0, r0                   // Set safe if |ylogx| < 2^-70
 }
+{ .mfb
+      nop.m 999
+(p12) fmpy.s1 FR_TMP3 = FR_Sgn, FR_X
+(p12) br.cond.spnt POWL_64_SHARED                 // Branch if |ylogx| < 2^-70
+}
+;;
+
 { .mfi
-	nop.m 999
-(p0)   fma.s1 FR_poly_hi = FR_P_2, FR_r, FR_P_1 
-	nop.i 999 ;;
+      nop.m 999
+      fma.s1 FR_poly_lo = FR_poly_lo, FR_X, FR_P_3
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-(p0)   fma.s1 FR_poly_hi = FR_poly_hi, FR_rsq, FR_r 
-	nop.i 999 ;;
+      nop.m 999
+      fma.s1 FR_poly_hi = FR_poly_hi, FR_rsq, FR_X
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-//  
-//     poly_lo = p_3 + poly_lo * r
-//     Y_hi = 1, always
-//  
-(p0)   fma.s1 FR_Y_lo = FR_poly_lo, FR_r4, FR_poly_hi 
-	nop.i 999 ;;
+      nop.m 999
+      fma.s1 FR_Y_lo = FR_poly_lo, FR_r4, FR_poly_hi
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-//
-//     Set lsb in fp register
-// 
-(p0)   for FR_temp = FR_Y_lo,FR_temp 
-	nop.i 999 ;;
+      nop.m 999
+      fmpy.s1 FR_TMP3 = FR_Y_lo, FR_TMP1      // Add sign info
+      nop.i 999
 }
-{ .mfb
-	nop.m 999
+;;
+
 //
 //     Toggle on last bit of Y_lo
-//
-(p0)   fmerge.se FR_Y_lo = FR_Y_lo,FR_temp 
-//
 //     Set lsb of Y_lo to 1
 //
-(p0)   br.cond.sptk L(EXPL_RETURN) ;; 
-}
-L(EXPL_VERY_SMALL): 
 { .mfi
-	nop.m 999
-(p0)   mov FR_Y_lo = FR_r 
-(p0)   cmp.eq.unc  p15, p0 =  r0, r0 
+      nop.m 999
+      for FR_temp = FR_Y_lo,FR_temp
+      nop.i 999
 }
-{ .mfi
-       nop.m 999
-(p0)   mov FR_Scale = f1
-       nop.i 999
-};;
+;;
+
 { .mfb
-	nop.m 999
-(p0)   mov FR_Y_hi = f1 
-//
-//     If flag_not_1, 
-//     Y_hi = 1.0 
-//     Y_lo = X + X_cor
-//     PR_Safe = true
-//
-(p0)   br.cond.sptk L(EXPL_RETURN) ;; 
+      nop.m 999
+      fmerge.se FR_TMP3 = FR_TMP3,FR_temp
+      br.cond.sptk POWL_64_SHARED
 }
-L(EXPL_HUGE): 
+;;
+
+
+EXPL_HUGE:
+// Here if |ylogx| >= 2^14
 { .mfi
-	nop.m 999
-//
-//     Return for flag=2 
-//
-(p0)   fcmp.gt.unc.s1 p12, p13 =  FR_X, f0 
-(p0)   cmp.eq.unc  p14, p15 =  r0, r0 ;; 
+      mov GR_temp = 0x0A1DC               // If X < 0, exponent -24100
+      fcmp.gt.s1 p12, p13 =  FR_X, f0     // Test X > 0
+      cmp.eq  p14, p15 =  r0, r0          // Set Safe to false
 }
-{ .mlx
-	nop.m 999
-//
-//     Set Safe to false
-//     Is x > 0
-//
-(p12)  movl GR_Mask = 0x15DC0 ;; 
-}
-{ .mlx
-(p12)  setf.exp FR_Y_hi = GR_Mask 
-(p13)  movl GR_Mask = 0xA240 ;; 
+;;
+
+{ .mmi
+(p12) mov GR_Mask = 0x15DC0               // If X > 0, exponent +24000
+(p13) mov GR_Mask = 0x0A240               // If X < 0, exponent -24000
+      nop.i 999
 }
-{ .mlx
-(p13)  setf.exp FR_Y_hi = GR_Mask 
-//     
-//     x > 0: Create mask for Y_hi = 2**(24,000) 
-//     x <= 0: Create mask for Y_hi = 2**(-24,000) 
-//
-(p13)  movl GR_temp = 0xA1DC ;; 
+;;
+
+{ .mmf
+      setf.exp FR_TMP2 = GR_Mask          // Form Y_hi = TMP2
+(p13) setf.exp FR_Y_lo = GR_temp          // If X < 0, Y_lo = 2^-24100
+(p12) mov FR_Y_lo = f1                    // IF X > 0, Y_lo = 1.0
 }
+;;
+
 { .mfi
-(p13)  setf.exp FR_Y_lo = GR_temp 
-//
-//     x < =0: Create mask for 2**(-24,100)
-//     x <= 0: Y_lo = w**(-24,100)
-//
-(p12)  mov FR_Y_lo = f1 
-	nop.i 999 ;;
+      nop.m 999
+      fmpy.s1 FR_TMP1 = FR_TMP2, FR_Sgn   // TMP1 = Y_hi * Sgn
+      nop.i 999
 }
-{ .mfi
-	nop.m 999
-(p12)  mov FR_Scale =  FR_Y_hi 
-	nop.i 999 ;;
+;;
+
+{ .mfb
+      nop.m 999
+      fmpy.s1 FR_TMP3 = FR_Y_lo,FR_TMP1   // TMP3 = Y_lo * (Y_hi * Sgn)
+      br.cond.sptk POWL_64_SHARED
 }
-{ .mfi
-	nop.m 999
+;;
+
+POWL_Y_ALMOST_1:
+// Here if delta = |y-1| < 2^-50
 //
-//     x > 0: Y_lo = 1.0
-//     x > 0: Scale = 2**(24,000) 
+//  x**(1 + delta) = x * e (ln(x)*delta) = x ( 1 + ln(x) * delta)
 //
-(p13)  mov FR_Scale = FR_Y_hi 
-	nop.i 999 ;;
-}
-L(EXPL_RETURN): 
+// Computation will be safe for 2^-16381 <= x < 2^16383
+
 { .mfi
-	nop.m 999
-//
-//     Scale = 2**(24,000)
-//
-//
-//     exp(y *ln(x)) almost complete 
-//     FR_Scale is Scale
-//     f34 is Z_hi 
-//     f35 is Z_lo 
-//
-(p0)   fmpy.s1 FR_Sgn = FR_Scale, FR_Sgn  
-	nop.i 999 ;;
+       mov GR_exp_ynear1_oflow = 0xffff + 16383
+       fma.s1 FR_TMP1 = FR_Input_X,FR_Delta,f0
+       and GR_exp_x = GR_exp_mask, GR_signexp_x
 }
+;;
+
 { .mfi
-	nop.m 999
-//
-//     sgn * scale 
-//
-(p0)   fmpy.s1 FR_Y_lo = FR_Y_lo,FR_Sgn   
-	nop.i 999 ;;
+       cmp.lt  p15, p14 =  GR_exp_x, GR_exp_ynear1_oflow
+       fma.s1 FR_TMP2 = FR_logx_hi,f1,FR_X_lo
+       mov GR_exp_ynear1_uflow = 0xffff - 16381
 }
+;;
+
 { .mfb
-	nop.m 999
-//
-//     Z_lo * (sgn * scale) 
+(p15)  cmp.ge  p15, p14 =  GR_exp_x, GR_exp_ynear1_uflow
+       fma.s1 FR_TMP3 = FR_Input_X,f1,f0
+       br.cond.sptk POWL_64_SHARED
+};;
+
+POWL_64_SQUARE:
 //
-(p0)   fma.s0 FR_Result = FR_Y_hi, FR_Sgn, FR_Y_lo  
+//      Here if x not zero and y=2.
 //
-//     Z_hi * (sgn * scale)  + Z_lo
+//      Setup for multipath code
 //
-(p15)  br.cond.sptk L(POWL_64_RETURN) ;;
-}
 { .mfi
-	nop.m 999
-(p0)   fsetc.s3 0x7F,0x01
-	nop.i 999
-}
-{ .mlx
-	nop.m 999
-//
-//     Z_hi * (sgn * scale)  + Z_lo with wre & td
-//     Z_hi * (sgn * scale)  + Z_lo with fz  & td
-//
-(p0)   movl GR_T1_ptr = 0x00000000013FFF ;;
+      mov GR_exp_square_oflow = 0xffff + 8192   // Exponent where x*x overflows
+      fmerge.se FR_TMP1 = FR_Input_X, FR_Input_X
+      and GR_exp_x = GR_exp_mask, GR_signexp_x  // Get exponent of x
 }
+;;
+
 { .mfi
-	nop.m 999
-(p0)   fma.s3  FR_Result_small = FR_Y_hi, FR_Sgn, FR_Y_lo  
-	nop.i 999
+      cmp.lt  p15, p14 =  GR_exp_x, GR_exp_square_oflow // Decide safe/unsafe
+      fmerge.se FR_TMP2 = FR_Input_X, FR_Input_X
+      mov GR_exp_square_uflow = 0xffff - 8191   // Exponent where x*x underflows
 }
+;;
+
 { .mfi
-	nop.m 999
-(p0)   fsetc.s3 0x7F,0x40
-	nop.i 999 ;;
+(p15) cmp.ge  p15, p14 =  GR_exp_x, GR_exp_square_uflow // Decide safe/unsafe
+      fma.s1 FR_TMP3 = f0,f0,f0
+      nop.i 999
 }
-{ .mfi
-	nop.m 999
+;;
+
 //
-//     Return if no danger of over of underflow.
+//      This is the shared path that will set overflow and underflow.
 //
-(p0)   fsetc.s2 0x7F,0x42
-	nop.i 999;;
-}
-{ .mfi
-	nop.m 999
+POWL_64_SHARED:
+
 //
-//     S0 user supplied status
-//     S2 user supplied status + WRE + TD  (Overflows)
-//     S3 user supplied status + FZ + TD   (Underflows)
+//      Return if no danger of over or underflow.
 //
-(p0)   fma.s2  FR_Result_big = FR_Y_hi, FR_Sgn, FR_Y_lo  
-	nop.i 999 ;;
+{ .mfb
+      nop.m 999
+      fma.s0 FR_Result = FR_TMP1, FR_TMP2, FR_TMP3
+(p15) br.ret.sptk  b0      // Main path return if certain no over/underflow
 }
+;;
+
 //
-//     S0 user supplied status
-//     S2 user supplied status + WRE + TD  (Overflows)
-//     S3 user supplied status + FZ + TD   (Underflows)
+//      S0 user supplied status
+//      S2 user supplied status + WRE + TD  (Overflows)
+//      S2 user supplied status + FZ + TD   (Underflows)
 //
 //
 //     If (Safe) is true, then
@@ -2430,973 +2021,741 @@ L(EXPL_RETURN):
 //        No overflow or underflow here, but perhaps inexact.
 //        Return
 //     Else
-//       Determine if overflow or underflow  was raised.
-//       Fetch +/- overflow threshold for IEEE single, double,
-//       double extended
-//
-{ .mfi
-(p0)   setf.exp FR_Big = GR_T1_ptr
-(p0)   fsetc.s2 0x7F,0x40
-	nop.i 999 ;;
-}
-{ .mfi
-	nop.m 999
-(p0)   fclass.m.unc   p11, p0 =  FR_Result_small, 0x00F
-	nop.i 999 ;;
-}
-{ .mfi
-	nop.m 999
-(p0)   fmerge.ns FR_NBig = FR_Big, FR_Big
-	nop.i 999
-}
-{ .mfi
-	nop.m 999
-//
-//     Create largest double exponent + 1.
-//     Create smallest double exponent - 1.
-//     Identify denormals
-//
-(p0)   fcmp.ge.unc.s1 p8, p0 = FR_Result_big , FR_Big
-	nop.i 999 ;;
-}
-{ .mii
-	nop.m 999
-	nop.i 999 ;;
-//
-//     fcmp:   resultS2 <= - overflow threshold  
-//     fclass: resultS3 is denorm/unorm/0       
-//
-(p8)   mov   GR_Parameter_TAG = 18 ;;
-}
-{ .mfb
-	nop.m 999
-//
-//     fcmp:   resultS2 >= + overflow threshold  
-//
-(p0)   fcmp.le.unc.s1 p9, p0 = FR_Result_big, FR_NBig
-(p8)   br.cond.spnt __libm_error_region ;;
-}
-{ .mii
-	nop.m 999
-	nop.i 999 ;;
-(p9)   mov   GR_Parameter_TAG = 18
-}
-{ .mib
-	nop.m 999
-	nop.i 999
-(p9)   br.cond.spnt __libm_error_region ;;
-}
-//
-//     Report that pow overflowed - either +Inf, or -Inf
-//
-{ .mmb
-(p11)  mov   GR_Parameter_TAG = 19
-	nop.m 999
-(p11)  br.cond.spnt __libm_error_region ;;
-}
-{ .mib
-	nop.m 999
-	nop.i 999
-//
-//     Report that pow underflowed
-//
-(p0)   br.cond.sptk L(POWL_64_RETURN) ;;
-}
-
+//       Determine if overflow or underflow was raised.
+//       Fetch +/- overflow threshold for IEEE double extended
 
-L(POWL_64_SQUARE):
-// Here if x not zero and y=2.
-// Must call __libm_error_support for overflow or underflow
-//
-//     S0 user supplied status
-//     S2 user supplied status + WRE + TD  (Overflows)
-//     S3 user supplied status + FZ + TD   (Underflows)
-//
 { .mfi
-	nop.m 999
-(p0)   fma.s0 FR_Result = FR_Input_X, FR_Input_X, f0
-	nop.i 999
-}
-{ .mfi
-	nop.m 999
-(p0)   fsetc.s3 0x7F,0x01
-	nop.i 999
-}
-{ .mlx
-	nop.m 999
-(p0)   movl GR_T1_ptr = 0x00000000013FFF ;;
-}
-{ .mfi
-	nop.m 999
-(p0)   fma.s3 FR_Result_small = FR_Input_X, FR_Input_X, f0
-	nop.i 999
-}
-{ .mfi
-	nop.m 999
-(p0)   fsetc.s3 0x7F,0x40
-	nop.i 999 ;;
+      nop.m 999
+      fsetc.s2 0x7F,0x41       // For underflow test, set S2=User+TD+FTZ
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-//
-//     Return if no danger of over of underflow.
-//
-(p0)   fsetc.s2 0x7F,0x42
-	nop.i 999;;
+      nop.m 999
+      fma.s2 FR_Result_small = FR_TMP1, FR_TMP2, FR_TMP3
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p0)   fma.s2 FR_Result_big = FR_Input_X, FR_Input_X, f0
-	nop.i 999 ;;
+      nop.m 999
+      fsetc.s2 0x7F,0x42       // For overflow test, set S2=User+TD+WRE
+      nop.i 999
 }
-//
-//     S0 user supplied status
-//     S2 user supplied status + WRE + TD  (Overflows)
-//     S3 user supplied status + FZ + TD   (Underflows)
-//
-//
-//     If (Safe) is true, then
-//        Compute result using user supplied status field.
-//        No overflow or underflow here, but perhaps inexact.
-//        Return
-//     Else
-//       Determine if overflow or underflow  was raised.
-//       Fetch +/- overflow threshold for IEEE single, double,
-//       double extended
-//
+;;
+
 { .mfi
-(p0)   setf.exp FR_Big = GR_T1_ptr
-(p0)   fsetc.s2 0x7F,0x40
-	nop.i 999 ;;
+      nop.m 999
+      fma.s2 FR_Result_big = FR_TMP1, FR_TMP2,FR_TMP3
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p0)   fclass.m.unc   p11, p0 =  FR_Result_small, 0x00F
-	nop.i 999 ;;
+      nop.m 999
+      fsetc.s2 0x7F,0x40       // Reset S2=User
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p0)   fmerge.ns FR_NBig = FR_Big, FR_Big
-	nop.i 999
+      nop.m 999
+      fclass.m p11, p0 = FR_Result_small, 0x00F // Test small result unorm/zero
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-//
-//     Create largest double exponent + 1.
-//     Create smallest double exponent - 1.
-//     Identify denormals
-//
-(p0)   fcmp.ge.unc.s1 p8, p0 = FR_Result_big , FR_Big
-	nop.i 999 ;;
-}
-{ .mii
-	nop.m 999
-	nop.i 999 ;;
-//
-//     fcmp:   resultS2 <= - overflow threshold  
-//     fclass: resultS3 is denorm/unorm/0       
-//
-(p8)   mov   GR_Parameter_TAG = 18 ;;
+      nop.m 999
+      fcmp.ge.s1 p8, p0 = FR_Result_big , FR_Big // Test >= + oflow threshold
+      nop.i 999
 }
+;;
+
 { .mfb
-	nop.m 999
-//
-//     fcmp:   resultS2 >= + overflow threshold  
-//
-(p0)   fcmp.le.unc.s1 p9, p0 = FR_Result_big, FR_NBig
-(p8)   br.cond.spnt __libm_error_region ;;
-}
-{ .mii
-	nop.m 999
-	nop.i 999 ;;
-(p9)   mov   GR_Parameter_TAG = 18
-}
-{ .mib
-	nop.m 999
-	nop.i 999
-(p9)   br.cond.spnt __libm_error_region ;;
-}
-//
-//     Report that pow overflowed - either +Inf, or -Inf
-//
-{ .mmb
-(p11)  mov   GR_Parameter_TAG = 19
-	nop.m 999
-(p11)  br.cond.spnt __libm_error_region ;;
-}
-{ .mib
-	nop.m 999
-	nop.i 999
-//
-//     Report that pow underflowed
-//
-(p0)   br.cond.sptk L(POWL_64_RETURN) ;;
+(p11) mov   GR_Parameter_TAG = 19                // Set tag for underflow
+      fcmp.le.s1 p9, p0 = FR_Result_big, FR_NBig // Test <= - oflow threshold
+(p11) br.cond.spnt __libm_error_region           // Branch if pow underflowed
 }
+;;
 
+{ .mfb
+(p8)  mov   GR_Parameter_TAG = 18                // Set tag for overflow
+      nop.f 999
+(p8)  br.cond.spnt __libm_error_region           // Branch if pow +overflow
+}
+;;
 
+{ .mbb
+(p9)  mov   GR_Parameter_TAG = 18                // Set tag for overflow
+(p9)  br.cond.spnt __libm_error_region           // Branch if pow -overflow
+      br.ret.sptk  b0                            // Branch if result really ok
+}
+;;
 
 
-L(POWL_64_SPECIAL): 
+POWL_64_SPECIAL:
+// Here if x or y is NatVal, nan, inf, or zero
 { .mfi
-	nop.m 999
-(p0)   fcmp.eq.s1 p15, p0 =  FR_Input_X, f1  // Is x=+1
-	nop.i 999 ;;
+      nop.m 999
+      fcmp.eq.s1 p15, p0 =  FR_Input_X, f1  // Test x=+1
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p0)   fclass.m.unc p14, p0 =  FR_Input_Y, 0x023 
-	nop.i 999 ;;
+      nop.m 999
+      fclass.m p8, p0 =  FR_Input_X, 0x143  // Test x natval, snan
+      nop.i 999
 }
+;;
 
 { .mfi
-	nop.m 999
-(p15)   fcmp.eq.unc.s0 p6,p0 = FR_Input_Y, f0 // If x=1, flag invalid if y=SNaN
-	nop.i 999 
+      nop.m 999
+(p15) fcmp.eq.unc.s0 p6,p0 = FR_Input_Y, f0 // If x=1, flag invalid if y=SNaN
+      nop.i 999
 }
 { .mfb
-	nop.m 999
-(p15)   fmpy.s0 FR_Result = f1,f1        // If x=1, result=1
-(p15)   br.cond.spnt L(POWL_64_RETURN) ;;   // Exit if x=1
+      nop.m 999
+(p15) fmpy.s0 FR_Result = f1,f1             // If x=1, result=1
+(p15) br.ret.spnt b0                        // Exit if x=1
 }
+;;
 
 { .mfi
-	nop.m 999
-(p0)   fclass.m.unc p13, p0 =  FR_Input_X, 0x023 
-	nop.i 999 ;;
-}
-{ .mfi
-	nop.m 999
-(p0)   fclass.m.unc p8, p0 =  FR_Input_X, 0x143 
-	nop.i 999
+      nop.m 999
+      fclass.m p6, p0 =  FR_Input_Y, 0x007  // Test y zero
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p0)   fclass.m.unc p9, p0 =  FR_Input_Y, 0x143 
-	nop.i 999 ;;
+      nop.m 999
+      fclass.m p9, p0 =  FR_Input_Y, 0x143  // Test y natval, snan
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p0)   fclass.m.unc p10, p0 =  FR_Input_X, 0x083 
-	nop.i 999
+      nop.m 999
+      fclass.m p10, p0 =  FR_Input_X, 0x083 // Test x qnan
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-(p0)   fclass.m.unc p11, p0 =  FR_Input_Y, 0x083 
-	nop.i 999 ;;
+      nop.m 999
+(p8)  fmpy.s0 FR_Result = FR_Input_Y, FR_Input_X // If x=snan, result=qnan
+(p6)  cmp.ne p8,p0 = r0,r0     // Don't exit if x=snan, y=0 ==> result=+1
 }
+;;
+
 { .mfi
-	nop.m 999
-(p0)   fclass.m.unc p6, p0 =  FR_Input_Y, 0x007 
-	nop.i 999
+      nop.m 999
+(p6)  fclass.m.unc p15, p0 =  FR_Input_X,0x007   // Test x=0, y=0
+      nop.i 999
 }
-{ .mfi
-	nop.m 999
-(p0)   fcmp.eq.unc.s1 p7, p0 =  FR_Input_Y, f1 
-	nop.i 999 ;;
+{ .mfb
+      nop.m 999
+(p9)  fmpy.s0 FR_Result = FR_Input_Y, FR_Input_X // If y=snan, result=qnan
+(p8)  br.ret.spnt b0                             // Exit if x=snan, y not 0,
+                                                 //   result=qnan
 }
+;;
+
 { .mfi
-	nop.m 999
-//
-//     set p13 if x +/- Inf 
-//     set p14 if y +/- Inf 
-//     set p8  if x  Natval or +/-SNaN  
-//     set p9  if y  Natval or +/-SNaN  
-//     set p10 if x QNaN
-//     set p11 if y QNaNs
-//     set p6  if y is +/-0 
-//     set p7  if y is 1
-//
-(p8)   fmpy.s0 FR_Result = FR_Input_Y, FR_Input_X 
-(p6)   cmp.ne p8,p0 = r0,r0 ;;  // Don't exit if x=snan, y=0 ==> result=+1
-}
-{ .mfb
-	nop.m 999
-(p9)   fmpy.s0 FR_Result = FR_Input_Y, FR_Input_X 
-(p8)   br.cond.spnt L(POWL_64_RETURN) ;; 
+      nop.m 999
+      fcmp.eq.s1 p7, p0 =  FR_Input_Y, f1        // Test y +1.0
+      nop.i 999
 }
 { .mfb
-	nop.m 999
-(p10)  fmpy.s0 FR_Result = FR_Input_X, f0 
-(p9)   br.cond.spnt L(POWL_64_RETURN) ;; 
-}
-{ .mfi
-	nop.m 999
-//
-//     Produce result for SNaN and NatVals and return
-//
-(p6)   fclass.m.unc p15, p0 =  FR_Input_X,0x007 
-	nop.i 999
+      nop.m 999
+(p10) fmpy.s0 FR_Result = FR_Input_X, f0         // If x=qnan, result=qnan
+(p9)  br.ret.spnt b0                             // Exit if y=snan, result=qnan
 }
+;;
+
 { .mfi
-	nop.m 999
-//
-//     If Y +/- 0, set p15 if x +/- 0
-//
-(p6)   fclass.m.unc p8, p0 =  FR_Input_X,0x0C3 
-	nop.i 999 ;;
+      nop.m 999
+(p6)  fclass.m.unc p8, p0 =  FR_Input_X,0x0C3    // Test x=nan, y=0
+      nop.i 999
 }
+;;
 
 { .mfi
-	nop.m 999
-(p6)   fcmp.eq.s0 p9,p0 = FR_Input_X, f0 // If y=0, flag if x denormal
-	nop.i 999
+      nop.m 999
+(p6)  fcmp.eq.s0 p9,p0 = FR_Input_X, f0          // If y=0, flag if x denormal
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-(p6)   fadd.s0 FR_Result = f1, f0
-	nop.i 999 ;;
+      nop.m 999
+(p6)  fadd.s0 FR_Result = f1, f0                 // If y=0, result=1
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-// 
-//     Set p8 if y = +/-0 and X is a QNaN/SNaN
-//     If y = +/-0, let result = 1.0
-// 
-(p7)   fmpy.s0 FR_Result = FR_Input_X,f1
-//
-//     If y == 1, result = x * 1 
-//
-(p15)  mov GR_Parameter_TAG = 20 
-}
-{ .mib
-	nop.m 999
-	nop.i 999
-(p15)  br.cond.spnt __libm_error_region ;;
-}
-{ .mib
-	nop.m 999
-//
-//     If x and y are both zero, result = 1.0 and call error
-//     support. 
-//
-(p8)   mov GR_Parameter_TAG = 23 
-(p8)   br.cond.spnt __libm_error_region ;;
+      nop.m 999
+      fclass.m p11, p0 =  FR_Input_Y, 0x083      // Test y qnan
+      nop.i 999
 }
-{ .mib
-	nop.m 999
-	nop.i 999
-//
-//     If y = +/-0 and x is a QNaN, result = 1.0 and call error
-//     support. 
-//
-(p6)   br.cond.spnt L(POWL_64_RETURN) ;; 
+{ .mfb
+(p15) mov GR_Parameter_TAG = 20                  // Error tag for x=0, y=0
+(p7)  fmpy.s0 FR_Result = FR_Input_X,f1          // If y=1, result=x
+(p15) br.cond.spnt __libm_error_region           // Branch if x=0, y=0, result=1
 }
+;;
 
-// If x=0, y=-inf, go to the X_IS_ZERO path
 { .mfb
-	nop.m 999
-(p14)  fcmp.eq.unc.s1 p0,p14 = FR_Input_X,f0 
-(p7)   br.cond.spnt L(POWL_64_RETURN) ;; 
+(p8)  mov GR_Parameter_TAG = 23                  // Error tag for x=nan, y=0
+      fclass.m p14, p0 =  FR_Input_Y, 0x023      // Test y inf
+(p8)  br.cond.spnt __libm_error_region           // Branch if x=snan, y=0,
+                                                 //   result=1
 }
+;;
 
-{ .mfi
-	nop.m 999
-//
-//     Produce all results for x**0 and x**1 
-//     Let all the result x ** 0 == 1 and return
-//     Let all x ** 1 == x and return
-//
-(p10)  fmpy.s0 FR_Result = FR_Input_Y,FR_Input_X
-	nop.i 999 ;;
-}
 { .mfb
-	nop.m 999
-(p11)  fmpy.s0 FR_Result = FR_Input_Y,FR_Input_X
-(p10)  br.cond.spnt L(POWL_64_RETURN) ;;
-}
-{ .mib
-	nop.m 999
-	nop.i 999
-(p11)  br.cond.spnt L(POWL_64_RETURN) ;;
-}
-{ .mib
-	nop.m 999
-	nop.i 999
-//
-//     Return result for x or y QNaN input with QNaN result 
-//
-(p14)  br.cond.spnt L(POWL_64_Y_IS_INF) ;;
+      nop.m 999
+      fclass.m p13, p0 =  FR_Input_X, 0x023      // Test x inf
+(p6)  br.ret.spnt b0                             // Exit y=0, x not nan or 0,
+                                                 //   result=1
 }
-{ .mib
-	nop.m 999
-	nop.i 999
-(p13)  br.cond.spnt L(POWL_64_X_IS_INF) ;;
+;;
+
+{ .mfb
+      nop.m 999
+(p14) fcmp.eq.unc.s1 p0,p14 = FR_Input_X,f0      // Test x not 0, y=inf
+(p7)  br.ret.spnt b0                             // Exit y=1, x not snan,
+                                                 //   result=x
 }
-L(POWL_64_X_IS_ZERO): 
-{ .mmb
-(p0)   getf.sig GR_signif_y = FR_Input_Y 
-(p0)   getf.exp GR_BIASed_exp_y = FR_Input_Y
-	nop.b 999 ;;
+;;
+
+{ .mfb
+      nop.m 999
+(p10) fmpy.s0 FR_Result = FR_Input_Y,FR_Input_X  // If x=qnan, y not snan,
+                                                 //   result=qnan
+(p10) br.ret.spnt b0                             // Exit x=qnan, y not snan,
+                                                 //   result=qnan
 }
-{ .mlx
-	nop.m 999
-(p0)   movl GR_Mask = 0x1FFFF
+;;
+
+{ .mfb
+      nop.m 999
+(p11) fmpy.s0 FR_Result = FR_Input_Y,FR_Input_X  // If y=qnan, x not nan or 1,
+                                                 //   result=qnan
+(p11) br.ret.spnt b0                             // Exit y=qnan, x not nan or 1,
+                                                 //   result=qnan
 }
-{ .mlx
-	nop.m 999
-(p0)   movl GR_y_sign = 0x20000 ;;
+;;
+
+{ .mbb
+      nop.m 999
+(p14) br.cond.spnt POWL_64_Y_IS_INF           // Branch if y=inf, x not 1 or nan
+(p13) br.cond.spnt POWL_64_X_IS_INF           // Branch if x=inf, y not 1 or nan
 }
-//
-//     Get BIASed exp and significand of y
+;;
+
+
+POWL_64_X_IS_ZERO:
+// Here if x=0, y not nan or 1 or inf or 0
+
+// There is logic starting here to determine if y is an integer when x = 0.
+// If 0 < |y| < 1 then clearly y is not an integer.
+// If |y| > 1, then the significand of y is shifted left by the size of
+//    the exponent of y.  This preserves the lsb of the integer part + the
+//    fractional bits.  The lsb of the integer can be tested to determine if
+//    the integer is even or odd.  The fractional bits can be tested.  If zero,
+//    then y is an integer.
 //
 { .mfi
-(p0)   and GR_exp_y = GR_Mask,GR_BIASed_exp_y
-	nop.f 999
-(p0)   and GR_y_sign = GR_y_sign,GR_BIASed_exp_y
-}
-{ .mlx
-	nop.m 999
-(p0)   movl GR_BIAS = 0xFFFF ;;
+      and GR_exp_y = GR_exp_mask,GR_signexp_y   // Get biased exponent of y
+      nop.f 999
+      and GR_y_sign = GR_sign_mask,GR_signexp_y // Get sign of y
 }
-{ .mfi
-(p0)   cmp.lt.unc  p9, p8 = GR_exp_y,GR_BIAS
-	nop.f 999
+;;
+
 //
 //     Maybe y is < 1 already, so
 //     can never be an integer.
-//     Remove sign bit from exponent.
-//
-(p0)   sub GR_exp_y = GR_exp_y,GR_BIAS ;;
-}
-{ .mii
-	nop.m 999
-	nop.i 999 ;;
-//
-//     Remove exponent BIAS
 //
-(p8)   shl GR_exp_y=  GR_signif_y,GR_exp_y ;;
-}
 { .mfi
-(p9)   or  GR_exp_y=  0xF,GR_signif_y
-	nop.f 999
-	nop.i 999 ;;
+      cmp.lt  p9, p8 = GR_exp_y,GR_exp_bias     // Test 0 < |y| < 1
+      nop.f 999
+      sub GR_exp_y = GR_exp_y,GR_exp_bias       // Get true exponent of y
 }
-{ .mii
-	nop.m 999
+;;
+
 //
 //     Shift significand of y looking for nonzero bits
 //     For y > 1, shift signif_y exp_y bits to the left
-//     For y < 1, turn on 4 low order bits of significand of y 
+//     For y < 1, turn on 4 low order bits of significand of y
 //     so that the fraction will always be non-zero
 //
-(p0)   shl GR_signif_y=  GR_exp_y,1 ;;
-(p0)   extr.u GR_low_order_bit = GR_exp_y,63,1
+{ .mmi
+(p9)  or  GR_exp_y=  0xF,GR_signif_y            // Force nonzero fraction if y<1
+;;
+      nop.m 999
+(p8)  shl GR_exp_y=  GR_signif_y,GR_exp_y       // Get lsb of int + fraction
+                                                // Wait 4 cycles to use result
+}
+;;
+
+{ .mmi
+      nop.m 999
+;;
+      nop.m 999
+      nop.i 999
+}
+;;
+
+{ .mmi
+      nop.m 999
+;;
+      nop.m 999
+      shl GR_fraction_y=  GR_exp_y,1            // Shift left 1 to get fraction
 }
+;;
+
 //
 //     Integer part of y  shifted off.
 //     Get y's low even or odd bit - y might not be an int.
 //
 { .mii
-(p0)   cmp.eq.unc  p13,p0  =  GR_signif_y, r0
-(p0)   cmp.eq.unc  p8,p9 =  GR_y_sign, r0 ;;
-//
-//     Is y an int?
-//     Is y positive
-//
-(p13)  cmp.ne.unc  p13,p0 =  GR_low_order_bit, r0 ;;
+      cmp.eq  p13,p0  =  GR_fraction_y, r0      // Test for y integer
+      cmp.eq  p8,p0 =  GR_y_sign, r0            // Test for y > 0
+;;
+(p13) tbit.nz.unc p13,p0 = GR_exp_y, 63         // Test if y an odd integer
 }
+;;
+
+{ .mfi
+(p13) cmp.eq.unc p13,p14 =  GR_y_sign, r0   // Test y pos odd integer
+(p8)  fcmp.eq.s0 p12,p0 = FR_Input_Y, f0    // If x=0 and y>0 flag if y denormal
+      nop.i 999
+}
+;;
+
 //
-//     Is y and int and odd?
+//     Return +/-0 when x=+/-0 and y is positive odd integer
 //
 { .mfb
-(p13)  cmp.eq.unc  p13,p14 =  GR_y_sign, r0
-(p8)   fcmp.eq.s0 p12,p0 = FR_Input_Y, f0 // If x=0 and y>0 flag if y denormal
-	nop.b 999 ;;
+      nop.m 999
+(p13) mov FR_Result = FR_Input_X            // If x=0,  y pos odd int, result=x
+(p13) br.ret.spnt b0                        // Exit x=0, y pos odd int, result=x
 }
-{ .mfb
-	nop.m 999
+;;
+
 //
-//     Is y and int and odd and positive?
+//     Return +/-inf when x=+/-0 and y is negative odd int
 //
-(p13)  mov FR_Result = FR_Input_X 
-(p13)  br.cond.sptk L(POWL_64_RETURN) ;;
+{ .mfb
+(p14) mov GR_Parameter_TAG = 21
+(p14) frcpa.s0 FR_Result, p0 = f1, FR_Input_X  // Result +-inf, set Z flag
+(p14) br.cond.spnt __libm_error_region
 }
-{ .mfi
-	nop.m 999
+;;
+
 //
-//     Return +/-0 when x=+/-0 and y is and odd pos. int
+//     Return +0 when x=+/-0 and y positive and not an odd integer
 //
-(p14)  frcpa.s0 FR_Result, p10 = f1, FR_Input_X
-(p14)  mov GR_Parameter_TAG = 21
-}
-{ .mib
-	nop.m 999
-	nop.i 999
-(p14)  br.cond.spnt __libm_error_region ;;
+{ .mfb
+      nop.m 999
+(p8)  mov FR_Result = f0      // If x=0, y>0 and not odd integer, result=+0
+(p8)  br.ret.sptk b0          // Exit x=0, y>0 and not odd integer, result=+0
 }
+;;
 
-{ .mfb
-	nop.m 999
 //
-//     Return +/-0 when x=+/-Inf and y is and odd neg int
-//     and raise dz exception
+//     Return +inf when x=+/-0 and y is negative and not odd int
 //
-(p8)   mov FR_Result = f0
-(p8)   br.cond.sptk L(POWL_64_RETURN) ;;
+{ .mfb
+      mov GR_Parameter_TAG = 21
+      frcpa.s0 FR_Result, p10 = f1,f0   // Result +inf, raise Z flag
+      br.cond.sptk __libm_error_region
 }
-{ .mfi
-	nop.m 999
+;;
+
+
+POWL_64_X_IS_INF:
 //
-//     Return +0 when x=+/-0 and y > 0  and not odd.
+// Here if x=inf, y not 1 or nan
 //
-(p9)   frcpa.s0 FR_Result, p10 = f1,f0
-(p9)   mov GR_Parameter_TAG = 21
-}
-{ .mib
-	nop.m 999
-	nop.i 999
-(p9)   br.cond.sptk __libm_error_region ;;
-}
-L(POWL_64_X_IS_INF): 
 { .mfi
-(p0)   getf.exp GR_exp_y = FR_Input_Y
-(p0)   fclass.m.unc p13, p0 =  FR_Input_X,0x022 
-(p0)   mov GR_Mask = 0x1FFFF ;;
+      and GR_exp_y = GR_exp_mask,GR_signexp_y   // Get biased exponent y
+      fclass.m p13, p0 =  FR_Input_X,0x022      // Test x=-inf
+      nop.i 999
 }
+;;
 
 { .mfi
-(p0)   getf.sig GR_signif_y = FR_Input_Y
-(p0)   fcmp.eq.s0 p9,p0 = FR_Input_Y, f0 // Flag if y denormal
-       nop.i 999 ;;
+      and GR_y_sign = GR_sign_mask,GR_signexp_y // Get sign of y
+      fcmp.eq.s0 p9,p0 = FR_Input_Y, f0         // Dummy to set flag if y denorm
+      nop.i 999
 }
+;;
 
 //
-//     Get exp and significand of y
-//     Create exponent mask and sign mask
+//     Maybe y is < 1 already, so
+//     isn't an int.
 //
-{ .mlx
-(p0)   and GR_low_order_bit = GR_Mask,GR_exp_y
-(p0)   movl GR_BIAS = 0xFFFF
+{ .mfi
+(p13) cmp.lt.unc  p9, p8 = GR_exp_y,GR_exp_bias // Test 0 < |y| < 1 if x=-inf
+      fclass.m p11, p0 =  FR_Input_X,0x021      // Test x=+inf
+      sub GR_exp_y = GR_exp_y,GR_exp_bias       // Get true exponent y
 }
-{ .mmi
-	nop.m 999 ;;
+;;
+
 //
-//     Remove sign bit from exponent.
+//     Shift significand of y looking for nonzero bits
+//     For y > 1, shift signif_y exp_y bits to the left
+//     For y < 1, turn on 4 low order bits of significand of y
+//     so that the fraction will always be non-zero
 //
-(p0)   cmp.lt.unc  p9, p8 = GR_low_order_bit,GR_BIAS
+{ .mmi
+(p9)  or  GR_exp_y=  0xF,GR_signif_y          // Force nonzero fraction if y<1
+;;
+(p11) cmp.eq.unc  p14,p12 = GR_y_sign, r0     // Test x=+inf, y>0
+(p8)  shl GR_exp_y=  GR_signif_y,GR_exp_y     // Get lsb of int + fraction
+                                              // Wait 4 cycles to use result
+}
+;;
+
 //
-//     Maybe y is < 1 already, so 
-//     isn't an int.
+//     Return +inf for x=+inf, y > 0
+//     Return +0   for x=+inf, y < 0
 //
-(p0)   sub GR_low_order_bit = GR_low_order_bit,GR_BIAS
+{ .mfi
+      nop.m 999
+(p12) mov FR_Result = f0                      // If x=+inf, y<0, result=+0
+      nop.i 999
 }
-{ .mlx
-	nop.m 999
-(p0)   movl GR_sign_mask = 0x20000 ;;
+{ .mfb
+      nop.m 999
+(p14) fma.s0 FR_Result = FR_Input_X,f1,f0     // If x=+inf, y>0, result=+inf
+(p11) br.ret.sptk b0                          // Exit x=+inf
 }
-{ .mfi
-(p0)   and GR_sign_mask = GR_sign_mask,GR_exp_y
+;;
+
 //
-//     Return +Inf when x=+/-0 and y < 0 and not odd and raise
-//     divide-by-zero exception.
+// Here only if x=-inf.  Wait until can use result of shl...
 //
-(p0)   fclass.m.unc p11, p0 =  FR_Input_X,0x021 
-	nop.i 999 ;;
-}
 { .mmi
-	nop.m 999 ;;
-//
-//     Is shift off integer part of y.
-//     Get y's even or odd bit - y might not be an int.
-//
-(p11)  cmp.eq.unc  p11,p12 = GR_sign_mask, r0
-//
-//     Remove exponent BIAS
-//
-(p8)   shl GR_exp_y = GR_signif_y,GR_low_order_bit ;;
+      nop.m 999
+;;
+      nop.m 999
+      nop.i 999
 }
+;;
+
 { .mfi
-(p9)   or  GR_exp_y = 0xF,GR_signif_y
-//
-//     Is y positive or negative when x is +Inf?
-//     Is y and int when x = -Inf 
-//
-(p11)  mov FR_Result = FR_Input_X 
-	nop.i 999 ;;
+      cmp.eq  p8,p9 = GR_y_sign, r0           // Test y pos
+      nop.f 999
+      shl GR_fraction_y = GR_exp_y,1          // Shift left 1 to get fraction
 }
-{ .mfi
-	nop.m 999
-(p12)  mov FR_Result = f0
-	nop.i 999 ;;
+;;
+
+{ .mmi
+      cmp.eq  p13,p0 = GR_fraction_y, r0      // Test y integer
+;;
+      nop.m 999
+(p13) tbit.nz.unc  p13,p0 = GR_exp_y, 63      // Test y odd integer
 }
-{ .mii
-	nop.m 999
+;;
+
 //
-//     Shift signficand looking for nonzero bits 
-//     For y non-ints, upset the significand.
+//     Is y even or odd?
 //
-(p0)   shl GR_signif_y = GR_exp_y,1 ;;
-(p13)  cmp.eq.unc  p13,p0  = GR_signif_y, r0
-}
 { .mii
-	nop.m 999
-(p0)   extr.u GR_low_order_bit = GR_exp_y,63,1 ;;
-(p13)  cmp.ne.unc  p13,p0 = GR_low_order_bit, r0
-}
-{ .mib
-	nop.m 999
-	nop.i 999
-(p11)  br.cond.sptk L(POWL_64_RETURN) ;; 
-}
-{ .mib
-	nop.m 999
-	nop.i 999
-(p12)  br.cond.sptk L(POWL_64_RETURN) ;; 
+(p13) cmp.eq.unc  p14,p10 = GR_y_sign, r0     // Test x=-inf, y pos odd int
+(p13) cmp.ne.and  p8,p9 = r0,r0               // If y odd int, turn off p8,p9
+      nop.i 999
 }
+;;
+
 //
-//     Return Inf for y > 0
-//     Return +0  for y < 0
-//     Is y even or odd?
+//     Return -0   for x = -inf and y < 0 and odd int.
+//     Return -Inf for x = -inf and y > 0 and odd int.
 //
-{ .mii
-(p13)  cmp.eq.unc  p13,p10 = GR_sign_mask, r0
-(p0)   cmp.eq.unc  p8,p9 = GR_sign_mask, r0 ;;
-	nop.i 999
+{ .mfi
+      nop.m 999
+(p10) fmerge.ns FR_Result = f0, f0      // If x=-inf, y neg odd int, result=-0
+      nop.i 999
 }
 { .mfi
-	nop.m 999
+      nop.m 999
+(p14) fmpy.s0 FR_Result = FR_Input_X,f1 // If x=-inf, y pos odd int, result=-inf
+      nop.i 999
+}
+;;
+
 //
-//     For x = -inf, y is and int, positive  
-//     and odd 
-//     Is y positive in general?
+//     Return Inf for x = -inf and y > 0 not an odd int.
+//     Return +0  for x = -inf and y < 0 not an odd int.
 //
-(p13)  mov FR_Result = FR_Input_X
-	nop.i 999 ;;
+.pred.rel "mutex",p8,p9
+{ .mfi
+      nop.m 999
+(p8)  fmerge.ns FR_Result = FR_Input_X, FR_Input_X // If x=-inf, y>0 not odd int
+                                                   //   result=+inf
+      nop.i 999
 }
 { .mfb
-	nop.m 999
-(p10)  fmerge.ns FR_Result = f0, f0 
-(p13)  br.cond.sptk L(POWL_64_RETURN) ;; 
-}
-{ .mib
-	nop.m 999
-	nop.i 999
-(p10)  br.cond.sptk L(POWL_64_RETURN) ;; 
+      nop.m 999
+(p9)  fmpy.s0 FR_Result = f0,f0                    // If x=-inf, y<0 not odd int
+                                                   //   result=+0
+      br.ret.sptk b0                               // Exit for x=-inf
 }
-{ .mfi
-	nop.m 999
+;;
+
+
+POWL_64_Y_IS_INF:
+// Here if y=inf, x not 1 or nan
 //
-//     Return -Inf for x = -inf and y > 0 and odd int.
-//     Return -0   for x = -inf and y < 0 and odd int.
+//     For y = +Inf and |x| < 1  returns 0
+//     For y = +Inf and |x| > 1  returns Inf
+//     For y = -Inf and |x| < 1  returns Inf
+//     For y = -Inf and |x| > 1  returns 0
+//     For y =  Inf and |x| = 1  returns 1
 //
-(p8)   fmerge.ns FR_Result = FR_Input_X, FR_Input_X 
-	nop.i 999 ;;
-}
-{ .mfb
-	nop.m 999
-(p9)   mov FR_Result = f0
-(p8)   br.cond.sptk L(POWL_64_RETURN) ;; 
+{ .mfi
+      nop.m 999
+      fclass.m p8, p0 =  FR_Input_Y, 0x021    // Test y=+inf
+      nop.i 999
 }
-{ .mib
-	nop.m 999
-	nop.i 999
-(p9)   br.cond.sptk L(POWL_64_RETURN) ;; 
+;;
+
+{ .mfi
+      nop.m 999
+      fclass.m p9, p0 =  FR_Input_Y, 0x022    // Test y=-inf
+      nop.i 999
 }
-L(POWL_64_Y_IS_INF): 
+;;
+
 { .mfi
-	nop.m 999
-//
-//     Return Inf for x = -inf and y > 0 not an odd int.
-//     Return +0  for x = -inf and y < 0 and not an odd int.
-//
-(p0)   fclass.m.unc p8, p0 =  FR_Input_Y, 0x021
-	nop.i 999
+      nop.m 999
+      fabs FR_X = FR_Input_X                  // Form |x|
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p0)   fclass.m.unc p9, p0 =  FR_Input_Y, 0x022
-	nop.i 999 ;;
+      nop.m 999
+      fcmp.eq.s0 p10,p0 = FR_Input_X, f0      // flag if x denormal
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p0)   fabs FR_X = FR_Input_X
-	nop.i 999 ;;
+      nop.m 999
+(p8)  fcmp.lt.unc.s1 p6, p0  =  FR_X, f1      // Test y=+inf, |x|<1
+      nop.i 999
 }
+;;
 
 { .mfi
-	nop.m 999
-(p0)   fcmp.eq.s0 p10,p0 = FR_Input_X, f0 // flag if x denormal
-	nop.i 999 ;;
+      nop.m 999
+(p8)  fcmp.gt.unc.s1 p7, p0  =  FR_X, f1      // Test y=+inf, |x|>1
+      nop.i 999
 }
+;;
 
 { .mfi
-	nop.m 999
-//
-//     Find y = +/- Inf
-//     Compute |x|
-//
-(p8)   fcmp.lt.unc.s1 p6, p0  =  FR_X, f1
-	nop.i 999
+      nop.m 999
+(p9)  fcmp.lt.unc.s1 p12, p0 =  FR_X, f1      // Test y=-inf, |x|<1
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-(p8)   fcmp.gt.unc.s1 p7, p0  =  FR_X, f1
-	nop.i 999 ;;
+      nop.m 999
+(p6)  fmpy.s0 FR_Result = f0,f0               // If y=+inf, |x|<1, result=+0
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p9)   fcmp.lt.unc.s1 p12, p0 =  FR_X, f1
-	nop.i 999
+      nop.m 999
+(p9)  fcmp.gt.unc.s1 p13, p0 =  FR_X, f1      // Test y=-inf, |x|>1
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-(p9)   fcmp.gt.unc.s1 p13, p0 =  FR_X, f1
-	nop.i 999 ;;
+      nop.m 999
+(p7)  fmpy.s0 FR_Result = FR_Input_Y, f1      // If y=+inf, |x|>1, result=+inf
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-//
-//     For y = +Inf and |x| < 1  returns 0
-//     For y = +Inf and |x| > 1  returns Inf
-//     For y = -Inf and |x| < 1  returns Inf
-//     For y = -Inf and |x| > 1  returns 0
-//
-(p6)   mov FR_Result = f0
-	nop.i 999 ;;
+      nop.m 999
+      fcmp.eq.s1 p14, p0 =  FR_X, f1          // Test y=inf, |x|=1
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-(p7)   mov FR_Result = FR_Input_Y 
-	nop.i 999 ;;
+      nop.m 999
+(p12) fnma.s0 FR_Result = FR_Input_Y, f1, f0  // If y=-inf, |x|<1, result=+inf
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p12)  fmpy.s0 FR_Result = FR_Input_Y, FR_Input_Y
-	nop.i 999 ;;
+      nop.m 999
+(p13) mov FR_Result = f0                      // If y=-inf, |x|>1, result=+0
+      nop.i 999
 }
+;;
+
 { .mfb
-	nop.m 999
-(p13)  mov FR_Result = f0
-//
-//     Produce x ** +/- Inf results
-//
-(p6)   br.cond.spnt L(POWL_64_RETURN) ;;
+      nop.m 999
+(p14) fmpy.s0 FR_Result = f1,f1               // If y=inf, |x|=1, result=+1
+      br.ret.sptk b0                          // Common return for y=inf
 }
-{ .mib
-	nop.m 999
-	nop.i 999
-(p7)   br.cond.spnt L(POWL_64_RETURN) ;;
+;;
+
+
+// Here if x or y denorm/unorm
+POWL_DENORM:
+{ .mmi
+      getf.sig GR_signif_Z = FR_norm_X   // Get significand of x
+;;
+      getf.exp GR_signexp_y = FR_norm_Y  // Get sign and exp of y
+      nop.i 999
 }
-{ .mib
-	nop.m 999
-	nop.i 999
-(p12)  br.cond.spnt L(POWL_64_RETURN) ;;
+;;
+
+{ .mfi
+      getf.sig GR_signif_y = FR_norm_Y   // Get significand of y
+      nop.f 999
+      nop.i 999
 }
+;;
+
 { .mib
-	nop.m 999
-	nop.i 999
-(p13)  br.cond.spnt L(POWL_64_RETURN) ;;
+      getf.exp GR_signexp_x = FR_norm_X  // Get sign and exp of x
+      extr.u GR_Index1 = GR_signif_Z, 59, 4  // Extract upper 4 signif bits of x
+      br.cond.sptk  POWL_COMMON          // Branch back to main path
 }
-{ .mfb
-	nop.m 999
+;;
+
+
+POWL_64_UNSUPPORT:
 //
-//     +/-1 ** +/-Inf, result is +1
+//     Raise exceptions for specific
+//     values - pseudo NaN and
+//     infinities.
+//     Return NaN and raise invalid
 //
-(p0)   fmpy.s0 FR_Result = f1,f1
-(p0)   br.cond.sptk L(POWL_64_RETURN) ;;
-}
-L(POWL_64_UNSUPPORT): 
 { .mfb
-	nop.m 999
+      nop.m 999
+      fmpy.s0 FR_Result = FR_Input_X,f0
+      br.ret.sptk b0
+}
+;;
+
+POWL_64_XNEG:
 //
-//     Return NaN and raise invalid    
+//     Raise invalid for x < 0  and
+//     y not an integer
 //
-(p0)   fmpy.s0 FR_Result = FR_Input_X,f0
-// 
-//     Raise exceptions for specific
-//     values - pseudo NaN and
-//     infinities.  
-// 
-(p0)   br.cond.sptk L(POWL_64_RETURN) ;; 
-}
-L(POWL_64_XNEG): 
 { .mfi
-	nop.m 999
-(p0)   frcpa.s0 FR_Result, p8 =  f0, f0
-// 
-//     Raise invalid for x < 0  and
-//     y not an integer and
-// 
-(p0)   mov GR_Parameter_TAG = 22
+      nop.m 999
+      frcpa.s0 FR_Result, p8 =  f0, f0
+      mov GR_Parameter_TAG = 22
 }
 { .mib
-	nop.m 999
-	nop.i 999
-(p0)   br.cond.sptk __libm_error_region ;; 
+      nop.m 999
+      nop.i 999
+      br.cond.sptk __libm_error_region
 }
-L(POWL_64_SQRT): 
+;;
+
+POWL_64_SQRT:
 { .mfi
-	nop.m 999
-(p0)   frsqrta.s0 FR_Result,p10 = FR_Input_X
-	nop.i 999 ;;
+      nop.m 999
+      frsqrta.s0 FR_Result,p10 = FR_save_Input_X
+      nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
-(p10)  fma.s1   f62=FR_Half,FR_Input_X,f0
-	nop.i 999 ;;
+      nop.m 999
+(p10) fma.s1   f62=FR_Half,FR_save_Input_X,f0
+      nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
-//
-//     Step (2)
-//     h = 1/2 * a in f9
-//
-(p10)  fma.s1   f63=FR_Result,FR_Result,f0
-	nop.i 999 ;;
+      nop.m 999
+(p10) fma.s1   f63=FR_Result,FR_Result,f0
+      nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
-//
-//     Step (3)
-//     t1 = y0 * y0 in f10
-//
-(p10)  fnma.s1  f32=f63,f62,f11
-	nop.i 999 ;;
+      nop.m 999
+(p10) fnma.s1  f32=f63,f62,FR_Half
+      nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
-//
-//     Step (4)
-//     t2 = 1/2 - t1 * h in f10
-//
-(p10)  fma.s1   f33=f32,FR_Result,FR_Result
-	nop.i 999 ;;
+      nop.m 999
+(p10) fma.s1   f33=f32,FR_Result,FR_Result
+      nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
-//
-//     Step (5)
-//     y1 = y0 + t2 * y0 in f13
-//
-(p10)  fma.s1   f34=f33,f62,f0
-	nop.i 999 ;;
+      nop.m 999
+(p10) fma.s1   f34=f33,f62,f0
+      nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
-//
-//     Step (6)
-//     t3 = y1 * h in f10
-//
-(p10)  fnma.s1  f35=f34,f33,f11
-	nop.i 999 ;;
+      nop.m 999
+(p10) fnma.s1  f35=f34,f33,FR_Half
+      nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
-//
-//     Step (7)
-//     t4 = 1/2 - t3 * y1 in f10
-//
-(p10)  fma.s1   f63=f35,f33,f33
-	nop.i 999 ;;
+      nop.m 999
+(p10) fma.s1   f63=f35,f33,f33
+      nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
-//
-//     Step (8)
-//     y2 = y1 + t4 * y1 in f13
-//
-(p10)  fma.s1   f32=FR_Input_X,f63,f0
-	nop.i 999
+      nop.m 999
+(p10) fma.s1   f32=FR_save_Input_X,f63,f0
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-//
-//     Step (9)
-//     S = a * y2 in f10
-//
-(p10)  fma.s1   FR_Result=f63,f62,f0
-	nop.i 999 ;;
+      nop.m 999
+(p10) fma.s1   FR_Result=f63,f62,f0
+      nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
-//
-//     Step (10)
-//     t5 = y2 * h in f9
-//
-(p10)  fma.s1   f33=f11,f63,f0
-	nop.i 999 ;;
+      nop.m 999
+(p10) fma.s1   f33=f11,f63,f0
+      nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
-//
-//     Step (11)
-//     H = 1/2 * y2 in f11
-//
-(p10)  fnma.s1  f34=f32,f32,f8
-	nop.i 999
+      nop.m 999
+(p10) fnma.s1  f34=f32,f32,FR_save_Input_X
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-//
-//     Step (12)
-//     d = a - S * S in f12
-//
-(p10)  fnma.s1  f35=FR_Result,f63,f11
-	nop.i 999 ;;
+      nop.m 999
+(p10) fnma.s1  f35=FR_Result,f63,FR_Half
+      nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
-//
-//     Step (13)
-//     t6 = 1/2 - t5 * y2 in f7
-//
-(p10)  fma.s1   f62=f33,f34,f32
-	nop.i 999
+      nop.m 999
+(p10) fma.s1   f62=f33,f34,f32
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-//
-//     Step (14)
-//     S1 = S + d * H in f13
-//
-(p10)  fma.s1   f63=f33,f35,f33
-	nop.i 999 ;;
+      nop.m 999
+(p10) fma.s1   f63=f33,f35,f33
+      nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
-//
-//     Step (15)
-//     H1 = H + t6 * h in f7
-//
-(p10)  fnma.s1  f32=f62,f62,FR_Input_X
-	nop.i 999 ;;
+      nop.m 999
+(p10) fnma.s1  f32=f62,f62,FR_save_Input_X
+      nop.i 999 ;;
 }
 { .mfb
-	nop.m 999
-//
-//     Step (16)
-//     d1 = a - S1 * S1 
-//
-(p10)  fma.s0 FR_Result=f32,f63,f62
-//
-//     Step (17)
-//     R = S1 + d1 * H1 
-//
-(p10)  br.cond.sptk L(POWL_64_RETURN) ;; 
-}
-{ .mib
-	nop.m 999
-	nop.i 999
-//
-//     Do the Newton-Raphson iteration from the EAS.
-//
-(p0)   br.cond.sptk L(POWL_64_RETURN) ;; 
+      nop.m 999
+(p10) fma.s0 FR_Result=f32,f63,f62
+      br.ret.sptk   b0                // Exit for x > 0, y = 0.5
 }
-//
-//     Take care of the degenerate cases.
-//
+;;
 
-L(POWL_64_RETURN):
-{ .mfb
-       nop.m 999
-(p0)   mov   FR_Output = FR_Result
-(p0)   br.ret.sptk   b0 ;;
-}
-.endp powl
-ASM_SIZE_DIRECTIVE(powl)
+GLOBAL_LIBM_END(powl)
 
-.proc __libm_error_region
-__libm_error_region:
+LOCAL_LIBM_ENTRY(__libm_error_region)
 .prologue
 { .mfi
         add   GR_Parameter_Y=-32,sp             // Parameter 2 value
@@ -3411,32 +2770,32 @@ __libm_error_region:
         mov GR_SAVE_GP=gp                       // Save gp
 };;
 { .mmi
-        stfe [GR_Parameter_Y] = FR_Y,16         // Save Parameter 2 on stack
+        stfe [GR_Parameter_Y] = FR_Input_Y,16   // Save Parameter 2 on stack
         add GR_Parameter_X = 16,sp              // Parameter 1 address
 .save   b0, GR_SAVE_B0
         mov GR_SAVE_B0=b0                       // Save b0
 };;
 .body
 { .mib
-        stfe [GR_Parameter_X] = FR_X            // Store Parameter 1 on stack
+        stfe [GR_Parameter_X] = FR_save_Input_X // Store Parameter 1 on stack
         add   GR_Parameter_RESULT = 0,GR_Parameter_Y
         nop.b 0                                 // Parameter 3 address
 }
 { .mib
-        stfe [GR_Parameter_Y] = FR_RESULT      // Store Parameter 3 on stack
+        stfe [GR_Parameter_Y] = FR_Result       // Store Parameter 3 on stack
         add   GR_Parameter_Y = -16,GR_Parameter_Y
-        br.call.sptk b0=__libm_error_support#  // Call error handling function
+        br.call.sptk b0=__libm_error_support#   // Call error handling function
 };;
 { .mmi
-        nop.m 0
-        nop.m 0
         add   GR_Parameter_RESULT = 48,sp
+        nop.m 0
+        nop.i 0
 };;
 { .mmi
-        ldfe  f8 = [GR_Parameter_RESULT]       // Get return result off stack
+        ldfe  f8 = [GR_Parameter_RESULT]        // Get return result off stack
 .restore sp
-        add   sp = 64,sp                       // Restore stack pointer
-        mov   b0 = GR_SAVE_B0                  // Restore return address
+        add   sp = 64,sp                        // Restore stack pointer
+        mov   b0 = GR_SAVE_B0                   // Restore return address
 };;
 { .mib
         mov   gp = GR_SAVE_GP                  // Restore gp
@@ -3444,7 +2803,6 @@ __libm_error_region:
         br.ret.sptk     b0                     // Return
 };;
 
-.endp __libm_error_region
-ASM_SIZE_DIRECTIVE(__libm_error_region)
+.endp
 .type   __libm_error_support#,@function
 .global __libm_error_support#
diff --git a/sysdeps/ia64/fpu/e_remainder.S b/sysdeps/ia64/fpu/e_remainder.S
index d8a27722de..2f6e90f994 100644
--- a/sysdeps/ia64/fpu/e_remainder.S
+++ b/sysdeps/ia64/fpu/e_remainder.S
@@ -1,10 +1,10 @@
-  .file "remainder.asm"
-// Copyright (C) 2000, 2001, Intel Corporation
+.file "remainder.s"
+
+
+// Copyright (c) 2000 - 2003, Intel Corporation
 // All rights reserved.
 //
-// Contributed 2/2/2000 by John Harrison, Cristina Iordache, Ted Kubaska, Bob Norin, 
-// Shane Story, and Ping Tak Peter Tang of the Computational Software Lab, 
-// Intel Corporation.
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
 //
 // Redistribution and use in source and binary forms, with or without
 // modification, are permitted provided that the following conditions are
@@ -20,7 +20,7 @@
 // * The name of Intel Corporation may not be used to endorse or promote
 // products derived from this software without specific prior written
 // permission.
-//
+
 // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
 // "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
@@ -35,17 +35,19 @@
 //
 // Intel Corporation is the author of this code, and requests that all
 // problem reports or change requests be submitted to it directly at
-// http://developer.intel.com/opensource.
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
 //
 // History
 //====================================================================
-// 2/02/00  Initial version
-// 3/02/00  New Algorithm
-// 4/04/00  Unwind support added
-// 7/21/00  Fixed quotient=2^{24*m+23}*1.q1...q23 1 bug
-// 8/15/00  Bundle added after call to __libm_error_support to properly
+// 02/02/00 Initial version
+// 03/02/00 New Algorithm
+// 04/04/00 Unwind support added
+// 07/21/00 Fixed quotient=2^{24*m+23}*1.q1...q23 1 bug
+// 08/15/00 Bundle added after call to __libm_error_support to properly
 //          set [the previously overwritten] GR_Parameter_RESULT.
-//11/29/00  Set FR_Y to f9
+// 11/29/00 Set FR_Y to f9
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 02/10/03 Reordered header: .section, .global, .proc, .align
 //
 // API
 //====================================================================
@@ -78,16 +80,12 @@
 // a=+/- Inf, or b=+/-0: return NaN, call libm_error_support
 // a=NaN or b=NaN: return NaN
 
-#include "libm_support.h"
-
 // Registers used
 //====================================================================
 // Predicate registers: p6-p14
 // General registers:   r2,r3,r28,r29,r32 (ar.pfs), r33-r39
 // Floating point registers: f6-f15,f32
 
-  .section .text
-
 GR_SAVE_B0                    = r33
 GR_SAVE_PFS                   = r34
 GR_SAVE_GP                    = r35 
@@ -103,18 +101,9 @@ FR_Y             = f9
 FR_RESULT        = f8
 
 
+.section .text
+GLOBAL_IEEE754_ENTRY(remainder)
 
-  .proc  remainder#
-  .align 32
-  .global remainder#
-  .align 32
-
-remainder:
-#ifdef _LIBC
-.global __remainder
-.type __remainder,@function
-__remainder:
-#endif
 // inputs in f8, f9
 // result in f8
 
@@ -139,7 +128,7 @@ __remainder:
 // Y +-NAN, +-inf, +-0?     p11
 { .mfi
 	  setf.exp f32=r28
-(p0)  fclass.m.unc  p11,p0 = f9, 0xe7           
+      fclass.m.unc  p11,p0 = f9, 0xe7           
       nop.i 999
 }
 // qnan snan inf norm     unorm 0 -+
@@ -148,7 +137,7 @@ __remainder:
 // X +-NAN, +-inf, ?        p9
 { .mfi
       nop.m 999
-(p0)  fclass.m.unc  p9,p0 = f8, 0xe3           
+      fclass.m.unc  p9,p0 = f8, 0xe3           
       nop.i 999;; 
 }
 
@@ -167,8 +156,8 @@ __remainder:
 } 
 
 {.bbb
-  (p9) br.cond.spnt L(FREM_X_NAN_INF)
-  (p11) br.cond.spnt L(FREM_Y_NAN_INF_ZERO)
+  (p9) br.cond.spnt FREM_X_NAN_INF
+  (p11) br.cond.spnt FREM_Y_NAN_INF_ZERO
   nop.b 0
 }  {.mfi
    nop.m 0
@@ -178,7 +167,7 @@ __remainder:
 } 
 
 
-L(remloop24): 
+remloop24: 
   { .mfi
   nop.m 0
   // Step (2)
@@ -200,7 +189,7 @@ L(remloop24):
 {.mfi
   nop.m 0
   // q1=q0*(1+e0)
-  fma.s1 f15=f12,f7,f12
+  (p6) fma.s1 f15=f12,f7,f12
   nop.i 0
 }
 { .mfi
@@ -331,7 +320,7 @@ L(remloop24):
   //  (p9) set r=r2 (new a, if not last iteration)
   // (p10) new a =r
   (p10) mov f13=f6
-  (p12) br.cond.sptk L(remloop24);;
+  (p12) br.cond.sptk remloop24;;
 } 
 
 // last iteration
@@ -388,7 +377,7 @@ L(remloop24):
 }
 
 
-L(FREM_X_NAN_INF): 
+FREM_X_NAN_INF: 
 
 // Y zero ?
 {.mfi 
@@ -405,19 +394,19 @@ L(FREM_X_NAN_INF):
   nop.m 0
   nop.i 0
   // if Y zero
-  (p11) br.cond.spnt L(FREM_Y_ZERO);;                        
+  (p11) br.cond.spnt FREM_Y_ZERO;;                        
 }
 
 // X infinity? Return QNAN indefinite
 { .mfi
       nop.m 999
-(p0)  fclass.m.unc  p8,p0 = f8, 0x23 
+      fclass.m.unc  p8,p0 = f8, 0x23 
       nop.i 999
 }
 // X infinity? Return QNAN indefinite
 { .mfi
       nop.m 999
-(p0)  fclass.m.unc  p11,p0 = f8, 0x23 
+      fclass.m.unc  p11,p0 = f8, 0x23 
       nop.i 999;; 
 }
 // Y NaN ?
@@ -445,14 +434,14 @@ L(FREM_X_NAN_INF):
 }
 { .mfi
       nop.m 999
-(p8) fma.d f8=f8,f1,f0                     
+(p8) fma.d.s0 f8=f8,f1,f0                     
 	  nop.i 0 ;;                        
 }
 
 { .mfb
       nop.m 999
       frcpa.s0 f8,p7=f8,f9                     
-	  (p11) br.cond.spnt L(EXP_ERROR_RETURN);;                        
+	  (p11) br.cond.spnt EXP_ERROR_RETURN;;                        
 }
 { .mib
 	nop.m 0
@@ -461,35 +450,35 @@ L(FREM_X_NAN_INF):
 }
 
 
-L(FREM_Y_NAN_INF_ZERO): 
+FREM_Y_NAN_INF_ZERO: 
 
 // Y INF
 { .mfi
       nop.m 999
-(p0)  fclass.m.unc  p7,p0 = f9, 0x23           
+      fclass.m.unc  p7,p0 = f9, 0x23           
       nop.i 999 ;;
 }
 
 { .mfb
       nop.m 999
-(p7)  fma.d f8=f8,f1,f0                     
+(p7)  fma.d.s0 f8=f8,f1,f0                     
 (p7)  br.ret.spnt    b0 ;;                        
 }
 
 // Y NAN?
 { .mfi
       nop.m 999
-(p0)  fclass.m.unc  p9,p0 = f9, 0xc3           
+      fclass.m.unc  p9,p0 = f9, 0xc3           
       nop.i 999 ;;
 }
 
 { .mfb
       nop.m 999
-(p9)  fma.d f8=f9,f1,f0                     
+(p9)  fma.d.s0 f8=f9,f1,f0                     
 (p9)  br.ret.spnt    b0 ;;                        
 }
 
-L(FREM_Y_ZERO):
+FREM_Y_ZERO:
 // Y zero? Must be zero at this point
 // because it is the only choice left.
 // Return QNAN indefinite
@@ -497,7 +486,7 @@ L(FREM_Y_ZERO):
 // X NAN?
 { .mfi
       nop.m 999
-(p0)  fclass.m.unc  p9,p10 = f8, 0xc3           
+      fclass.m.unc  p9,p10 = f8, 0xc3           
       nop.i 999 ;;
 }
 { .mfi
@@ -508,47 +497,41 @@ L(FREM_Y_ZERO):
 
 {.mfi
  nop.m 999
- (p9) frcpa f11,p7=f8,f0
+ (p9) frcpa.s0 f11,p7=f8,f0
  nop.i 0;;
 }
 
 { .mfi
       nop.m 999
-(p10)  frcpa         f11,p7 = f0,f0  
+(p10)  frcpa.s0         f11,p7 = f0,f0  
 	  nop.i 999;;         
 }
 
 { .mfi
       nop.m 999
-(p0)  fmerge.s      f10 = f8, f8             
+      fmerge.s      f10 = f8, f8             
       nop.i 999
 }
 
 { .mfi
       nop.m 999
-(p0)  fma.d f8=f11,f1,f0                     
+      fma.d.s0 f8=f11,f1,f0                     
       nop.i 999
 }
 
 
-L(EXP_ERROR_RETURN): 
+EXP_ERROR_RETURN: 
 
 { .mib
-(p0)  mov   GR_Parameter_TAG = 124                                 
+      mov   GR_Parameter_TAG = 124                                 
 	  nop.i 999
-(p0)  br.sptk __libm_error_region;; 
+      br.sptk __libm_error_region;; 
 }
 
-.endp remainder
-ASM_SIZE_DIRECTIVE(remainder)
-#ifdef _LIBC
-ASM_SIZE_DIRECTIVE(__remainder)
-#endif
-
+GLOBAL_IEEE754_END(remainder)
 
 
-.proc __libm_error_region
-__libm_error_region:
+LOCAL_LIBM_ENTRY(__libm_error_region)
 .prologue
 { .mfi
         add   GR_Parameter_Y=-32,sp             // Parameter 2 value
@@ -596,10 +579,11 @@ __libm_error_region:
         br.ret.sptk     b0                     // Return
 };; 
 
-.endp __libm_error_region
-ASM_SIZE_DIRECTIVE(__libm_error_region)
+LOCAL_LIBM_END(__libm_error_region)
 
 
 
 .type   __libm_error_support#,@function
 .global __libm_error_support#
+
+
diff --git a/sysdeps/ia64/fpu/e_remainderf.S b/sysdeps/ia64/fpu/e_remainderf.S
index 40f9b32921..bbb5fd0e0f 100644
--- a/sysdeps/ia64/fpu/e_remainderf.S
+++ b/sysdeps/ia64/fpu/e_remainderf.S
@@ -1,11 +1,10 @@
-  .file "remainderf.asm"
-// Copyright (C) 2000, 2001, Intel Corporation
+.file "remainderf.s"
+
+
+// Copyright (c) 2000 - 2003, Intel Corporation
 // All rights reserved.
 //
-// Contributed 2/2/2000 by John Harrison, Cristina Iordache, Ted Kubaska, 
-// Bob Norin, Shane Story, and Ping Tak Peter Tang of the Computational 
-// Software Lab, 
-// Intel Corporation.
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
 //
 // Redistribution and use in source and binary forms, with or without
 // modification, are permitted provided that the following conditions are
@@ -21,7 +20,7 @@
 // * The name of Intel Corporation may not be used to endorse or promote
 // products derived from this software without specific prior written
 // permission.
-//
+
 // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
 // "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
@@ -36,17 +35,19 @@
 //
 // Intel Corporation is the author of this code, and requests that all
 // problem reports or change requests be submitted to it directly at
-// http://developer.intel.com/opensource.
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
 //
 // History
 //====================================================================
-// 2/02/00 Initial version
-// 3/02/00 New algorithm  
-// 4/04/00 Unwind support added
-// 7/21/00 Fixed quotient=2^{24*m+23} bug
-// 8/15/00  Bundle added after call to __libm_error_support to properly
+// 02/02/00 Initial version
+// 03/02/00 New algorithm  
+// 04/04/00 Unwind support added
+// 07/21/00 Fixed quotient=2^{24*m+23} bug
+// 08/15/00 Bundle added after call to __libm_error_support to properly
 //          set [the previously overwritten] GR_Parameter_RESULT.
-//11/29/00  Set FR_Y to f9
+// 11/29/00 Set FR_Y to f9
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 02/10/03 Reordered header: .section, .global, .proc, .align
 //
 // API
 //====================================================================
@@ -78,9 +79,6 @@
 //====================================================================
 // a=+/- Inf, or b=+/-0: return NaN, call libm_error_support
 // a=NaN or b=NaN: return NaN
-
-#include "libm_support.h"
-
 //
 // Registers used
 //====================================================================
@@ -89,8 +87,6 @@
 // Floating point registers: f6-f15
 //
 
-.section .text
-
 GR_SAVE_B0                    = r33
 GR_SAVE_PFS                   = r34
 GR_SAVE_GP                    = r35 
@@ -106,17 +102,9 @@ FR_Y             = f9
 FR_RESULT        = f8
 
 
-  .proc  remainderf#
-  .align 32
-  .global remainderf#
-  .align 32
+.section .text
+GLOBAL_IEEE754_ENTRY(remainderf)
 
-remainderf:
-#ifdef _LIBC
-.global __remainderf
-.type __remainderf,@function
-__remainderf:
-#endif
 // inputs in f8, f9
 // result in f8
 
@@ -141,7 +129,7 @@ __remainderf:
 // Y +-NAN, +-inf, +-0?     p11
 { .mfi
       nop.m 999
-(p0)  fclass.m.unc  p11,p0 = f9, 0xe7           
+      fclass.m.unc  p11,p0 = f9, 0xe7           
       nop.i 999
 }
 // qnan snan inf norm     unorm 0 -+
@@ -150,7 +138,7 @@ __remainderf:
 // X +-NAN, +-inf, ?        p9
 { .mfi
       nop.m 999
-(p0)  fclass.m.unc  p9,p0 = f8, 0xe3           
+      fclass.m.unc  p9,p0 = f8, 0xe3           
       nop.i 999;; 
 }
 
@@ -168,8 +156,8 @@ __remainderf:
   nop.i 0;;
 } 
 {.bbb
-  (p9) br.cond.spnt L(FREM_X_NAN_INF)
-  (p11) br.cond.spnt L(FREM_Y_NAN_INF_ZERO)
+  (p9) br.cond.spnt FREM_X_NAN_INF
+  (p11) br.cond.spnt FREM_Y_NAN_INF_ZERO
   nop.b 0
 }  {.mfi
    nop.m 0
@@ -179,7 +167,7 @@ __remainderf:
 } 
 
 .align 32
-L(remloop24): 
+remloop24: 
   { .mfi
   // f12=2^{24}-2
   setf.s f12=r3
@@ -347,7 +335,7 @@ L(remloop24):
   // (p9) set r=r2 (new a, if not last iteration)
   // (p10) new a =r
   (p10) mov f13=f6
-  (p12) br.cond.sptk L(remloop24);;
+  (p12) br.cond.sptk remloop24;;
 } 
 
 // last iteration
@@ -408,7 +396,7 @@ L(remloop24):
 }
 
 
-L(FREM_X_NAN_INF): 
+FREM_X_NAN_INF: 
 
 // Y zero ?
 {.mfi 
@@ -425,19 +413,19 @@ L(FREM_X_NAN_INF):
   nop.m 0
   nop.i 0
   // if Y zero
-  (p11) br.cond.spnt L(FREM_Y_ZERO);;                        
+  (p11) br.cond.spnt FREM_Y_ZERO;;                        
 }
 
 // X infinity? Return QNAN indefinite
 { .mfi
       nop.m 999
-(p0)  fclass.m.unc  p8,p0 = f8, 0x23 
+      fclass.m.unc  p8,p0 = f8, 0x23 
       nop.i 999
 }
 // X infinity? Return QNAN indefinite
 { .mfi
       nop.m 999
-(p0)  fclass.m.unc  p11,p0 = f8, 0x23 
+      fclass.m.unc  p11,p0 = f8, 0x23 
       nop.i 999;; 
 }
 // Y NaN ?
@@ -465,14 +453,14 @@ L(FREM_X_NAN_INF):
 }
 { .mfi
       nop.m 999
-(p8) fma.s f8=f8,f1,f0                     
+(p8) fma.s.s0 f8=f8,f1,f0                     
 	  nop.i 0 ;;                        
 }
 
 { .mfb
       nop.m 999
       frcpa.s0 f8,p7=f8,f9                     
-	  (p11) br.cond.spnt L(EXP_ERROR_RETURN);;                        
+	  (p11) br.cond.spnt EXP_ERROR_RETURN;;                        
 }
 { .mib
 	nop.m 0
@@ -481,35 +469,35 @@ L(FREM_X_NAN_INF):
 }
 
 
-L(FREM_Y_NAN_INF_ZERO): 
+FREM_Y_NAN_INF_ZERO: 
 
 // Y INF
 { .mfi
       nop.m 999
-(p0)  fclass.m.unc  p7,p0 = f9, 0x23           
+      fclass.m.unc  p7,p0 = f9, 0x23           
       nop.i 999 ;;
 }
 
 { .mfb
       nop.m 999
-(p7)  fma.s f8=f8,f1,f0                     
+(p7)  fma.s.s0 f8=f8,f1,f0                     
 (p7)  br.ret.spnt    b0 ;;                        
 }
 
 // Y NAN?
 { .mfi
       nop.m 999
-(p0)  fclass.m.unc  p9,p0 = f9, 0xc3           
+      fclass.m.unc  p9,p0 = f9, 0xc3           
       nop.i 999 ;;
 }
 
 { .mfb
       nop.m 999
-(p9)  fma.s f8=f9,f1,f0                     
+(p9)  fma.s.s0 f8=f9,f1,f0                     
 (p9)  br.ret.spnt    b0 ;;                        
 }
 
-L(FREM_Y_ZERO):
+FREM_Y_ZERO:
 // Y zero? Must be zero at this point
 // because it is the only choice left.
 // Return QNAN indefinite
@@ -517,7 +505,7 @@ L(FREM_Y_ZERO):
 // X NAN?
 { .mfi
       nop.m 999
-(p0)  fclass.m.unc  p9,p10 = f8, 0xc3           
+      fclass.m.unc  p9,p10 = f8, 0xc3           
       nop.i 999 ;;
 }
 { .mfi
@@ -528,47 +516,41 @@ L(FREM_Y_ZERO):
 
 {.mfi
  nop.m 999
- (p9) frcpa f11,p7=f8,f0
+ (p9) frcpa.s0 f11,p7=f8,f0
  nop.i 0;;
 }
 
 { .mfi
       nop.m 999
-(p10)  frcpa         f11,p7 = f0,f0           
+(p10)  frcpa.s0         f11,p7 = f0,f0           
 nop.i 999;;
 }
 
 { .mfi
       nop.m 999
-(p0)  fmerge.s      f10 = f8, f8             
+      fmerge.s      f10 = f8, f8             
       nop.i 999
 }
 
 { .mfi
       nop.m 999
-(p0)  fma.s f8=f11,f1,f0                     
+      fma.s.s0 f8=f11,f1,f0                     
       nop.i 999
 }
 
 
-L(EXP_ERROR_RETURN): 
+EXP_ERROR_RETURN: 
 
 { .mib
-(p0)  mov   GR_Parameter_TAG = 125                                
+      mov   GR_Parameter_TAG = 125                                
 	  nop.i 999
-(p0)  br.sptk __libm_error_region;; 
+      br.sptk __libm_error_region;; 
 }
 
-.endp remainderf
-ASM_SIZE_DIRECTIVE(remainderf)
-#ifdef _LIBC
-ASM_SIZE_DIRECTIVE(__remainderf)
-#endif
-
+GLOBAL_IEEE754_END(remainderf)
 
 
-.proc __libm_error_region
-__libm_error_region:
+LOCAL_LIBM_ENTRY(__libm_error_region)
 .prologue
 { .mfi
         add   GR_Parameter_Y=-32,sp             // Parameter 2 value
@@ -616,9 +598,11 @@ __libm_error_region:
         br.ret.sptk     b0                     // Return
 };; 
 
-.endp __libm_error_region
-ASM_SIZE_DIRECTIVE(__libm_error_region)
+LOCAL_LIBM_END(__libm_error_region)
 
 
 .type   __libm_error_support#,@function
 .global __libm_error_support#
+
+
+
diff --git a/sysdeps/ia64/fpu/e_remainderl.S b/sysdeps/ia64/fpu/e_remainderl.S
index 5856861442..1c1a3c3072 100644
--- a/sysdeps/ia64/fpu/e_remainderl.S
+++ b/sysdeps/ia64/fpu/e_remainderl.S
@@ -1,10 +1,10 @@
-.file "remainderl.asm"
-// Copyright (C) 2000, 2001, Intel Corporation
+.file "remainderl.s"
+
+
+// Copyright (c) 2000 - 2003, Intel Corporation
 // All rights reserved.
 //
-// Contributed 2/2/2000 by John Harrison, Cristina Iordache, Ted Kubaska, 
-// Bob Norin, Shane Story, and Ping Tak Peter Tang of the Computational 
-// Software Lab, Intel Corporation.
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
 //
 // Redistribution and use in source and binary forms, with or without
 // modification, are permitted provided that the following conditions are
@@ -20,7 +20,7 @@
 // * The name of Intel Corporation may not be used to endorse or promote
 // products derived from this software without specific prior written
 // permission.
-//
+
 // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
 // "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
@@ -35,17 +35,19 @@
 //
 // Intel Corporation is the author of this code, and requests that all
 // problem reports or change requests be submitted to it directly at
-// http://developer.intel.com/opensource.
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
 //
 // History
 //====================================================================
-// 2/02/00  Initial version
-// 3/02/00  New algorithm 
-// 4/04/00  Unwind support added
-// 7/21/00  Fixed quotient=2^{24*m+23}*1.q1...q23 1 bug
-// 8/15/00  Bundle added after call to __libm_error_support to properly
+// 02/02/00 Initial version
+// 03/02/00 New algorithm 
+// 04/04/00 Unwind support added
+// 07/21/00 Fixed quotient=2^{24*m+23}*1.q1...q23 1 bug
+// 08/15/00 Bundle added after call to __libm_error_support to properly
 //          set [the previously overwritten] GR_Parameter_RESULT.
-//11/29/00  Set FR_Y to f9
+// 11/29/00 Set FR_Y to f9
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 02/10/03 Reordered header: .section, .global, .proc, .align
 //
 // API
 //====================================================================
@@ -77,9 +79,6 @@
 //====================================================================
 // a=+/- Inf, or b=+/-0: return NaN, call libm_error_support
 // a=NaN or b=NaN: return NaN
-
-#include "libm_support.h"
-
 //
 // Registers used
 //====================================================================
@@ -87,8 +86,6 @@
 // General registers:   r2,r3,r28,r29,r32 (ar.pfs), r33-r39
 // Floating point registers: f6-f15,f32
 //
-.section .text
-
 
 GR_SAVE_B0                    = r33
 GR_SAVE_PFS                   = r34
@@ -105,19 +102,9 @@ FR_Y             = f9
 FR_RESULT        = f8
 
 
+.section .text
+GLOBAL_IEEE754_ENTRY(remainderl)
 
-
-  .proc  remainderl#
-  .align 32
-  .global remainderl#
-  .align 32
-
-remainderl:
-#ifdef _LIBC
-.global __remainderl
-.type __remainderl,@function
-__remainderl:
-#endif
 // inputs in f8, f9
 // result in f8
 
@@ -159,7 +146,7 @@ cmp.eq p11,p10=r29,r0;;
 // X +-NAN, +-inf, ?        p9
 { .mfi
       nop.m 999
-(p0)  fclass.m.unc  p9,p8 = f8, 0xe3           
+      fclass.m.unc  p9,p8 = f8, 0xe3           
       nop.i 999;; 
 }
 
@@ -196,8 +183,8 @@ cmp.eq p11,p10=r29,r0;;
 }
 
 {.bbb
-  (p9) br.cond.spnt L(FREM_X_NAN_INF)
-  (p11) br.cond.spnt L(FREM_Y_NAN_INF_ZERO)
+  (p9) br.cond.spnt FREM_X_NAN_INF
+  (p11) br.cond.spnt FREM_Y_NAN_INF_ZERO
   nop.b 0
 }  {.mfi
    nop.m 0
@@ -206,7 +193,7 @@ cmp.eq p11,p10=r29,r0;;
    nop.i 0;;
 } 
 
-L(remloop24): 
+remloop24: 
   { .mfi
   nop.m 0
   // Step (2)
@@ -228,7 +215,7 @@ L(remloop24):
 {.mfi
   nop.m 0
   // q1=q0*(1+e0)
-  fma.s1 f15=f12,f7,f12
+  (p6) fma.s1 f15=f12,f7,f12
   nop.i 0
 }
 { .mfi
@@ -358,7 +345,7 @@ L(remloop24):
   //  (p9) set r=r2 (new a, if not last iteration)
   // (p10) new a =r
   (p10) mov f13=f6
-  (p12) br.cond.sptk L(remloop24);;
+  (p12) br.cond.sptk remloop24;;
 } 
 
 // last iteration
@@ -416,7 +403,7 @@ L(remloop24):
 
 
 
-L(FREM_X_NAN_INF): 
+FREM_X_NAN_INF: 
 
 // Y zero ?
 {.mfi 
@@ -433,19 +420,19 @@ L(FREM_X_NAN_INF):
   nop.m 0
   nop.i 0
   // if Y zero
-  (p11) br.cond.spnt L(FREM_Y_ZERO);;                        
+  (p11) br.cond.spnt FREM_Y_ZERO;;                        
 }
 
 // X infinity? Return QNAN indefinite
 { .mfi
       nop.m 999
-(p0)  fclass.m.unc  p8,p0 = f8, 0x23 
+      fclass.m.unc  p8,p0 = f8, 0x23 
       nop.i 999
 }
 // X infinity? Return QNAN indefinite
 { .mfi
       nop.m 999
-(p0)  fclass.m.unc  p11,p0 = f8, 0x23 
+      fclass.m.unc  p11,p0 = f8, 0x23 
       nop.i 999;; 
 }
 // Y NaN ?
@@ -473,14 +460,14 @@ L(FREM_X_NAN_INF):
 }
 { .mfi
      nop.m 999
-(p8) fma f8=f8,f1,f0                     
+(p8) fma.s0 f8=f8,f1,f0                     
 	 nop.i 0 ;;                        
 }
 
 { .mfb
       nop.m 999
       frcpa.s0 f8,p7=f8,f9                     
-	  (p11) br.cond.spnt L(EXP_ERROR_RETURN);;                        
+	  (p11) br.cond.spnt EXP_ERROR_RETURN;;                        
 }
 { .mib
 	nop.m 0
@@ -489,24 +476,24 @@ L(FREM_X_NAN_INF):
 }
 
 
-L(FREM_Y_NAN_INF_ZERO): 
+FREM_Y_NAN_INF_ZERO: 
 // Y INF
 { .mfi
       nop.m 999
-(p0)  fclass.m.unc  p7,p0 = f9, 0x23           
+      fclass.m.unc  p7,p0 = f9, 0x23           
       nop.i 999 ;;
 }
 
 { .mfb
       nop.m 999
-(p7)  fma f8=f8,f1,f0                     
+(p7)  fma.s0 f8=f8,f1,f0                     
 (p7)  br.ret.spnt    b0 ;;                        
 }
 
 // Y NAN?
 { .mfi
       nop.m 999
-(p0)  fclass.m.unc  p9,p10 = f9, 0xc3           
+      fclass.m.unc  p9,p10 = f9, 0xc3           
       nop.i 999 ;;
 }
 { .mfi
@@ -517,11 +504,11 @@ L(FREM_Y_NAN_INF_ZERO):
 
 { .mfb
       nop.m 999
-(p9)  fma f8=f9,f1,f0                     
+(p9)  fma.s0 f8=f9,f1,f0                     
 (p9)  br.ret.spnt    b0 ;;                        
 }
 
-L(FREM_Y_ZERO):
+FREM_Y_ZERO:
 // Y zero? Must be zero at this point
 // because it is the only choice left.
 // Return QNAN indefinite
@@ -529,7 +516,7 @@ L(FREM_Y_ZERO):
 // X NAN?
 { .mfi
       nop.m 999
-(p0)  fclass.m.unc  p9,p10 = f8, 0xc3           
+      fclass.m.unc  p9,p10 = f8, 0xc3           
       nop.i 999 ;;
 }
 { .mfi
@@ -540,43 +527,37 @@ L(FREM_Y_ZERO):
 
 {.mfi
  nop.m 999
- (p9) frcpa f11,p7=f8,f0
+ (p9) frcpa.s0 f11,p7=f8,f0
  nop.i 0;;
 }
 { .mfi
       nop.m 999
-(p10)  frcpa   f11,p7 = f0,f0           
+(p10)  frcpa.s0   f11,p7 = f0,f0           
 	  nop.i 999;;
 }
 
 { .mfi
       nop.m 999
-(p0)  fmerge.s      f10 = f8, f8             
+      fmerge.s      f10 = f8, f8             
       nop.i 999
 }
 
 { .mfi
       nop.m 999
-(p0)  fma f8=f11,f1,f0                     
+      fma.s0 f8=f11,f1,f0                     
       nop.i 999;;
 }
 
-L(EXP_ERROR_RETURN): 
+EXP_ERROR_RETURN: 
 
 { .mib
-(p0)  mov   GR_Parameter_TAG = 123                                 
+      mov   GR_Parameter_TAG = 123                                 
 	  nop.i 999
-(p0)  br.sptk __libm_error_region;; 
+      br.sptk __libm_error_region;; 
 }
 
-.endp remainderl
-ASM_SIZE_DIRECTIVE(remainderl)
-#ifdef _LIBC
-ASM_SIZE_DIRECTIVE(__remainderl)
-#endif
-
-.proc __libm_error_region
-__libm_error_region:
+GLOBAL_IEEE754_END(remainderl)
+LOCAL_LIBM_ENTRY(__libm_error_region)
 .prologue
 { .mfi
         add   GR_Parameter_Y=-32,sp             // Parameter 2 value
@@ -624,9 +605,12 @@ __libm_error_region:
         br.ret.sptk     b0                     // Return
 };; 
 
-.endp __libm_error_region
-ASM_SIZE_DIRECTIVE(__libm_error_region)
+LOCAL_LIBM_END(__libm_error_region)
 
 
 .type   __libm_error_support#,@function
 .global __libm_error_support#
+
+
+
+
diff --git a/sysdeps/ia64/fpu/e_scalb.S b/sysdeps/ia64/fpu/e_scalb.S
index 7f5b5796de..82e914e259 100644
--- a/sysdeps/ia64/fpu/e_scalb.S
+++ b/sysdeps/ia64/fpu/e_scalb.S
@@ -1,10 +1,10 @@
 .file "scalb.s"
 
-// Copyright (C) 2000, 2001, Intel Corporation
+
+// Copyright (c) 2000 - 2003, Intel Corporation
 // All rights reserved.
-// 
-// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story,
-// and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
 //
 // Redistribution and use in source and binary forms, with or without
 // modification, are permitted provided that the following conditions are
@@ -20,7 +20,7 @@
 // * The name of Intel Corporation may not be used to endorse or promote
 // products derived from this software without specific prior written
 // permission.
-//
+
 // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
 // "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
@@ -35,12 +35,14 @@
 // 
 // Intel Corporation is the author of this code, and requests that all
 // problem reports or change requests be submitted to it directly at 
-// http://developer.intel.com/opensource.
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
 //
 // History
 //==============================================================
-// 2/02/00  Initial version
-// 1/26/01  Scalb completely reworked and now standalone version 
+// 02/02/00 Initial version
+// 01/26/01 Scalb completely reworked and now standalone version 
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 02/10/03 Reordered header: .section, .global, .proc, .align
 //
 // API
 //==============================================================
@@ -53,8 +55,6 @@
 //
 //
 
-#include "libm_support.h"
-
 FR_Floating_X  = f8
 FR_Result      = f8
 FR_Floating_N  = f9
@@ -84,19 +84,8 @@ GR_Parameter_Y      = r36
 GR_Parameter_RESULT = r37
 GR_Tag              = r38
 
-.align 32
-.global scalb
-
 .section .text
-.proc  scalb
-.align 32
-
-scalb: 
-#ifdef _LIBC
-.global __ieee754_scalb
-.type __ieee754_scalb,@function
-__ieee754_scalb:
-#endif
+GLOBAL_IEEE754_ENTRY(scalb)
 
 //
 //   Is x NAN, INF, ZERO, +-?
@@ -140,12 +129,12 @@ __ieee754_scalb:
 { .mib
      setf.exp      FR_Big = GR_Scratch                  
      nop.i 0 
-(p6) br.cond.spnt  L(SCALB_NAN_INF_ZERO) 
+(p6) br.cond.spnt  SCALB_NAN_INF_ZERO 
 }
 { .mib
      setf.exp      FR_NBig = GR_Scratch1                  
      nop.i 0 
-(p7) br.cond.spnt  L(SCALB_NAN_INF_ZERO) 
+(p7) br.cond.spnt  SCALB_NAN_INF_ZERO 
 };;
 
 //
@@ -212,7 +201,7 @@ __ieee754_scalb:
 }
 {    .mfb
      nop.m 0
-(p7) frcpa          f8,p11     =    f0,f0
+(p7) frcpa.s0          f8,p11     =    f0,f0
 (p7) br.ret.spnt    b0          
 };;
 
@@ -246,7 +235,7 @@ __ieee754_scalb:
 }
 { .mlx
      nop.m 999
-(p0) movl GR_Scratch = 0x00000000000303FF 
+     movl GR_Scratch = 0x00000000000303FF 
 };;
 {    .mfi
      nop.m 0
@@ -255,7 +244,7 @@ __ieee754_scalb:
 }
 {    .mlx
      nop.m 999
-(p0) movl GR_Scratch1= 0x00000000000103FF 
+     movl GR_Scratch1= 0x00000000000103FF 
 };;
 
 //   Set up necessary status fields 
@@ -266,12 +255,12 @@ __ieee754_scalb:
 //
 {    .mfi
      nop.m 999
-(p0) fsetc.s3 0x7F,0x41
+     fsetc.s3 0x7F,0x41
      nop.i 999
 }
 {    .mfi
      nop.m 999
-(p0) fsetc.s2 0x7F,0x42
+     fsetc.s2 0x7F,0x42
      nop.i 999
 };;
 
@@ -345,7 +334,7 @@ __ieee754_scalb:
 {    .mfb
 (p6) addl GR_Tag = 54, r0
 (p8) fcmp.le.unc.s1 p9, p10 = FR_Result2 , FR_NBig
-(p6) br.cond.spnt L(SCALB_UNDERFLOW) 
+(p6) br.cond.spnt SCALB_UNDERFLOW 
 };;
 
 //
@@ -353,8 +342,8 @@ __ieee754_scalb:
 //
 { .mbb
      nop.m 0
-(p7) br.cond.spnt L(SCALB_OVERFLOW) 
-(p9) br.cond.spnt L(SCALB_OVERFLOW) 
+(p7) br.cond.spnt SCALB_OVERFLOW 
+(p9) br.cond.spnt SCALB_OVERFLOW 
 };;
 
 //
@@ -366,7 +355,7 @@ __ieee754_scalb:
      br.ret.sptk     b0;;                   
 }
 
-L(SCALB_NAN_INF_ZERO): 
+SCALB_NAN_INF_ZERO: 
 
 //
 //   Convert N to a fp integer
@@ -471,16 +460,11 @@ L(SCALB_NAN_INF_ZERO):
      br.ret.sptk   b0
 };;
 
-.endp scalb
-ASM_SIZE_DIRECTIVE(scalb)
-#ifdef _LIBC
-ASM_SIZE_DIRECTIVE(__ieee754_scalb)
-#endif
-.proc __libm_error_region
+GLOBAL_IEEE754_END(scalb)
 __libm_error_region:
 
-L(SCALB_OVERFLOW): 
-L(SCALB_UNDERFLOW): 
+SCALB_OVERFLOW: 
+SCALB_UNDERFLOW: 
 
 //
 // Get stack address of N
@@ -557,8 +541,7 @@ L(SCALB_UNDERFLOW):
    br.ret.sptk     b0                  
 };;
 
-.endp __libm_error_region
-ASM_SIZE_DIRECTIVE(__libm_error_region)
+LOCAL_LIBM_END(__libm_error_region)
 
 .type   __libm_error_support#,@function
 .global __libm_error_support#
diff --git a/sysdeps/ia64/fpu/e_scalbf.S b/sysdeps/ia64/fpu/e_scalbf.S
index 40af080d38..07acb3297e 100644
--- a/sysdeps/ia64/fpu/e_scalbf.S
+++ b/sysdeps/ia64/fpu/e_scalbf.S
@@ -1,10 +1,10 @@
 .file "scalbf.s"
 
-// Copyright (C) 2000, 2001, Intel Corporation
+
+// Copyright (c) 2000 - 2003, Intel Corporation
 // All rights reserved.
-// 
-// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story,
-// and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
 //
 // Redistribution and use in source and binary forms, with or without
 // modification, are permitted provided that the following conditions are
@@ -20,7 +20,7 @@
 // * The name of Intel Corporation may not be used to endorse or promote
 // products derived from this software without specific prior written
 // permission.
-//
+
 // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
 // "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
@@ -35,12 +35,14 @@
 // 
 // Intel Corporation is the author of this code, and requests that all
 // problem reports or change requests be submitted to it directly at 
-// http://developer.intel.com/opensource.
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
 //
 // History
 //==============================================================
-// 2/02/00  Initial version
-// 1/26/01  Scalb completely reworked and now standalone version 
+// 02/02/00 Initial version
+// 01/26/01 Scalb completely reworked and now standalone version 
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 02/10/03 Reordered header: .section, .global, .proc, .align
 //
 // API
 //==============================================================
@@ -53,8 +55,6 @@
 //
 //
 
-#include "libm_support.h"
-
 FR_Floating_X  = f8
 FR_Result      = f8
 FR_Floating_N  = f9
@@ -84,19 +84,8 @@ GR_Parameter_Y      = r36
 GR_Parameter_RESULT = r37
 GR_Tag              = r38
 
-.align 32
-.global scalbf
-
 .section .text
-.proc  scalbf
-.align 32
-
-scalbf: 
-#ifdef _LIBC
-.global __ieee754_scalbf
-.type __ieee754_scalbf,@function
-__ieee754_scalbf:
-#endif
+GLOBAL_IEEE754_ENTRY(scalbf)
 
 //
 //   Is x NAN, INF, ZERO, +-?
@@ -140,12 +129,12 @@ __ieee754_scalbf:
 { .mib
      setf.exp      FR_Big = GR_Scratch                  
      nop.i 0 
-(p6) br.cond.spnt  L(SCALBF_NAN_INF_ZERO) 
+(p6) br.cond.spnt  SCALBF_NAN_INF_ZERO 
 }
 { .mib
      setf.exp      FR_NBig = GR_Scratch1                  
      nop.i 0 
-(p7) br.cond.spnt  L(SCALBF_NAN_INF_ZERO) 
+(p7) br.cond.spnt  SCALBF_NAN_INF_ZERO 
 };;
 
 //
@@ -212,7 +201,7 @@ __ieee754_scalbf:
 }
 {    .mfb
      nop.m 0
-(p7) frcpa          f8,p11     =    f0,f0
+(p7) frcpa.s0          f8,p11     =    f0,f0
 (p7) br.ret.spnt    b0          
 };;
 
@@ -246,7 +235,7 @@ __ieee754_scalbf:
 }
 { .mlx
      nop.m 999
-(p0) movl GR_Scratch = 0x000000000003007F 
+     movl GR_Scratch = 0x000000000003007F 
 };;
 {    .mfi
      nop.m 0
@@ -255,7 +244,7 @@ __ieee754_scalbf:
 }
 {    .mlx
      nop.m 999
-(p0) movl GR_Scratch1= 0x000000000001007F 
+     movl GR_Scratch1= 0x000000000001007F 
 };;
 
 //   Set up necessary status fields 
@@ -266,12 +255,12 @@ __ieee754_scalbf:
 //
 {    .mfi
      nop.m 999
-(p0) fsetc.s3 0x7F,0x41
+     fsetc.s3 0x7F,0x41
      nop.i 999
 }
 {    .mfi
      nop.m 999
-(p0) fsetc.s2 0x7F,0x42
+     fsetc.s2 0x7F,0x42
      nop.i 999
 };;
 
@@ -345,7 +334,7 @@ __ieee754_scalbf:
 {    .mfb
 (p6) addl GR_Tag = 56, r0
 (p8) fcmp.le.unc.s1 p9, p10 = FR_Result2 , FR_NBig
-(p6) br.cond.spnt L(SCALBF_UNDERFLOW) 
+(p6) br.cond.spnt SCALBF_UNDERFLOW 
 };;
 
 //
@@ -353,8 +342,8 @@ __ieee754_scalbf:
 //
 { .mbb
      nop.m 0
-(p7) br.cond.spnt L(SCALBF_OVERFLOW) 
-(p9) br.cond.spnt L(SCALBF_OVERFLOW) 
+(p7) br.cond.spnt SCALBF_OVERFLOW 
+(p9) br.cond.spnt SCALBF_OVERFLOW 
 };;
 
 //
@@ -366,7 +355,7 @@ __ieee754_scalbf:
      br.ret.sptk     b0;;                   
 }
 
-L(SCALBF_NAN_INF_ZERO): 
+SCALBF_NAN_INF_ZERO: 
 
 //
 //   Convert N to a fp integer
@@ -471,16 +460,11 @@ L(SCALBF_NAN_INF_ZERO):
      br.ret.sptk   b0
 };;
 
-.endp scalbf
-ASM_SIZE_DIRECTIVE(scalbf)
-#ifdef _LIBC
-ASM_SIZE_DIRECTIVE(__ieee754_scalbf)
-#endif
-.proc __libm_error_region
+GLOBAL_IEEE754_END(scalbf)
 __libm_error_region:
 
-L(SCALBF_OVERFLOW): 
-L(SCALBF_UNDERFLOW): 
+SCALBF_OVERFLOW: 
+SCALBF_UNDERFLOW: 
 
 //
 // Get stack address of N
@@ -557,8 +541,7 @@ L(SCALBF_UNDERFLOW):
    br.ret.sptk     b0                  
 };;
 
-.endp __libm_error_region
-ASM_SIZE_DIRECTIVE(__libm_error_region)
+LOCAL_LIBM_END(__libm_error_region)
 
 .type   __libm_error_support#,@function
 .global __libm_error_support#
diff --git a/sysdeps/ia64/fpu/e_scalbl.S b/sysdeps/ia64/fpu/e_scalbl.S
index 43eac7a2ad..d22d029155 100644
--- a/sysdeps/ia64/fpu/e_scalbl.S
+++ b/sysdeps/ia64/fpu/e_scalbl.S
@@ -1,10 +1,10 @@
 .file "scalbl.s"
 
-// Copyright (C) 2000, 2001, Intel Corporation
+
+// Copyright (c) 2000 - 2003, Intel Corporation
 // All rights reserved.
-// 
-// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story,
-// and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
 //
 // Redistribution and use in source and binary forms, with or without
 // modification, are permitted provided that the following conditions are
@@ -20,7 +20,7 @@
 // * The name of Intel Corporation may not be used to endorse or promote
 // products derived from this software without specific prior written
 // permission.
-//
+
 // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
 // "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
@@ -35,12 +35,14 @@
 // 
 // Intel Corporation is the author of this code, and requests that all
 // problem reports or change requests be submitted to it directly at 
-// http://developer.intel.com/opensource.
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
 //
 // History
 //==============================================================
-// 2/02/00  Initial version
-// 1/26/01  Scalb completely reworked and now standalone version 
+// 02/02/00 Initial version
+// 01/26/01 Scalb completely reworked and now standalone version 
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 02/10/03 Reordered header: .section, .global, .proc, .align
 //
 // API
 //==============================================================
@@ -53,8 +55,6 @@
 //
 //
 
-#include "libm_support.h"
-
 FR_Floating_X  = f8
 FR_Result      = f8
 FR_Floating_N  = f9
@@ -84,19 +84,8 @@ GR_Parameter_Y      = r36
 GR_Parameter_RESULT = r37
 GR_Tag              = r38
 
-.align 32
-.global scalbl
-
 .section .text
-.proc  scalbl
-.align 32
-
-scalbl: 
-#ifdef _LIBC
-.global __ieee754_scalbl
-.type __ieee754_scalbl,@function
-__ieee754_scalbl:
-#endif
+GLOBAL_IEEE754_ENTRY(scalbl)
 
 //
 //   Is x NAN, INF, ZERO, +-?
@@ -140,12 +129,12 @@ __ieee754_scalbl:
 { .mib
      setf.exp      FR_Big = GR_Scratch                  
      nop.i 0 
-(p6) br.cond.spnt  L(SCALBL_NAN_INF_ZERO) 
+(p6) br.cond.spnt  SCALBL_NAN_INF_ZERO 
 }
 { .mib
      setf.exp      FR_NBig = GR_Scratch1                  
      nop.i 0 
-(p7) br.cond.spnt  L(SCALBL_NAN_INF_ZERO) 
+(p7) br.cond.spnt  SCALBL_NAN_INF_ZERO 
 };;
 
 //
@@ -212,7 +201,7 @@ __ieee754_scalbl:
 }
 {    .mfb
      nop.m 0
-(p7) frcpa          f8,p11     =    f0,f0
+(p7) frcpa.s0          f8,p11     =    f0,f0
 (p7) br.ret.spnt    b0          
 };;
 
@@ -246,7 +235,7 @@ __ieee754_scalbl:
 }
 { .mlx
      nop.m 999
-(p0) movl GR_Scratch = 0x0000000000033FFF 
+     movl GR_Scratch = 0x0000000000033FFF 
 };;
 {    .mfi
      nop.m 0
@@ -255,7 +244,7 @@ __ieee754_scalbl:
 }
 {    .mlx
      nop.m 999
-(p0) movl GR_Scratch1= 0x0000000000013FFF 
+     movl GR_Scratch1= 0x0000000000013FFF 
 };;
 
 //   Set up necessary status fields 
@@ -266,12 +255,12 @@ __ieee754_scalbl:
 //
 {    .mfi
      nop.m 999
-(p0) fsetc.s3 0x7F,0x41
+     fsetc.s3 0x7F,0x41
      nop.i 999
 }
 {    .mfi
      nop.m 999
-(p0) fsetc.s2 0x7F,0x42
+     fsetc.s2 0x7F,0x42
      nop.i 999
 };;
 
@@ -345,7 +334,7 @@ __ieee754_scalbl:
 {    .mfb
 (p6) addl GR_Tag = 52, r0
 (p8) fcmp.le.unc.s1 p9, p10 = FR_Result2 , FR_NBig
-(p6) br.cond.spnt L(SCALBL_UNDERFLOW) 
+(p6) br.cond.spnt SCALBL_UNDERFLOW 
 };;
 
 //
@@ -353,8 +342,8 @@ __ieee754_scalbl:
 //
 { .mbb
      nop.m 0
-(p7) br.cond.spnt L(SCALBL_OVERFLOW) 
-(p9) br.cond.spnt L(SCALBL_OVERFLOW) 
+(p7) br.cond.spnt SCALBL_OVERFLOW 
+(p9) br.cond.spnt SCALBL_OVERFLOW 
 };;
 
 //
@@ -366,7 +355,7 @@ __ieee754_scalbl:
      br.ret.sptk     b0;;                   
 }
 
-L(SCALBL_NAN_INF_ZERO): 
+SCALBL_NAN_INF_ZERO: 
 
 //
 //   Convert N to a fp integer
@@ -471,16 +460,11 @@ L(SCALBL_NAN_INF_ZERO):
      br.ret.sptk   b0
 };;
 
-.endp scalbl
-ASM_SIZE_DIRECTIVE(scalbl)
-#ifdef _LIBC
-ASM_SIZE_DIRECTIVE(__ieee754_scalbl)
-#endif
-.proc __libm_error_region
+GLOBAL_IEEE754_END(scalbl)
 __libm_error_region:
 
-L(SCALBL_OVERFLOW): 
-L(SCALBL_UNDERFLOW): 
+SCALBL_OVERFLOW: 
+SCALBL_UNDERFLOW: 
 
 //
 // Get stack address of N
@@ -557,8 +541,7 @@ L(SCALBL_UNDERFLOW):
    br.ret.sptk     b0                  
 };;
 
-.endp __libm_error_region
-ASM_SIZE_DIRECTIVE(__libm_error_region)
+LOCAL_LIBM_END(__libm_error_region)
 
 .type   __libm_error_support#,@function
 .global __libm_error_support#
diff --git a/sysdeps/ia64/fpu/e_sinh.S b/sysdeps/ia64/fpu/e_sinh.S
index 4415dc7524..84c312c2b7 100644
--- a/sysdeps/ia64/fpu/e_sinh.S
+++ b/sysdeps/ia64/fpu/e_sinh.S
@@ -1,10 +1,10 @@
 .file "sinh.s"
 
-// Copyright (C) 2000, 2001, Intel Corporation
+
+// Copyright (c) 2000 - 2002, Intel Corporation
 // All rights reserved.
-// 
-// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story,
-// and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
 //
 // Redistribution and use in source and binary forms, with or without
 // modification, are permitted provided that the following conditions are
@@ -20,1249 +20,838 @@
 // * The name of Intel Corporation may not be used to endorse or promote
 // products derived from this software without specific prior written
 // permission.
-//
-// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
-// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
-// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS 
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
 // CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
-// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, 
-// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 
-// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY 
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
 // OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
-// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 
-// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 
-// 
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+//
 // Intel Corporation is the author of this code, and requests that all
-// problem reports or change requests be submitted to it directly at 
-// http://developer.intel.com/opensource.
+// problem reports or change requests be submitted to it directly at
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
 //
 // History
 //==============================================================
-// 2/02/00  Initial version
-// 4/04/00  Unwind support added
-// 8/15/00  Bundle added after call to __libm_error_support to properly
+// 02/02/00 Initial version
+// 04/04/00 Unwind support added
+// 08/15/00 Bundle added after call to __libm_error_support to properly
 //          set [the previously overwritten] GR_Parameter_RESULT.
 // 10/12/00 Update to set denormal operand and underflow flags
-// 1/22/01  Fixed to set inexact flag for small args.
-//
+// 01/22/01 Fixed to set inexact flag for small args.
+// 05/02/01 Reworked to improve speed of all paths
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 11/20/02 Improved speed with new algorithm
+
 // API
 //==============================================================
-// double = sinh(double)
-// input  floating point f8
-// output floating point f8
-//
-// Registers used
-//==============================================================
-// general registers: 
-// r32 -> r47
-// predicate registers used:
-// p6 p7 p8 p9
-// floating-point registers used:
-// f9 -> f15; f32 -> f45; 
-// f8 has input, then output
-//
+// double sinh(double)
+
 // Overview of operation
 //==============================================================
-// There are four paths
-// 1. |x| < 0.25        SINH_BY_POLY
-// 2. |x| < 32          SINH_BY_TBL
-// 3. |x| < 2^14        SINH_BY_EXP
-// 4. |x_ >= 2^14       SINH_HUGE
-//
-// For double extended we get infinity for x >= 400c b174 ddc0 31ae c0ea
-//                                           >= 1.0110001.... x 2^13
-//                                           >= 11357.2166
-//
-// But for double we get infinity for x >= 408633ce8fb9f87e
-//                                      >= 1.0110...x 2^9
-//                                      >= +7.10476e+002
-//
-// And for single we get infinity for x >= 42b3a496
-//                                      >= 1.0110... 2^6
-//                                      >= 89.8215
+// Case 1:  0 < |x| < 2^-60
+//  Result = x, computed by x+sgn(x)*x^2) to handle flags and rounding
 //
-// SAFE: If there is danger of overflow set SAFE to 0
-//       NOT implemented: if there is danger of underflow, set SAFE to 0
-// SAFE for all paths listed below
+// Case 2:  2^-60 < |x| < 0.25
+//  Evaluate sinh(x) by a 13th order polynomial
+//  Care is take for the order of multiplication; and A1 is not exactly 1/3!,
+//  A2 is not exactly 1/5!, etc.
+//  sinh(x) = x + (A1*x^3 + A2*x^5 + A3*x^7 + A4*x^9 + A5*x^11 + A6*x^13)
 //
-// 1. SINH_BY_POLY
-// ===============
-// If |x| is less than the tiny threshold, then clear SAFE 
-// For double, the tiny threshold is -1022 = -0x3fe => -3fe + ffff = fc01
-//             register-biased, this is fc01
-// For single, the tiny threshold is -126  = -7e    => -7e  + ffff = ff81
-// If |x| < tiny threshold, set SAFE = 0
+// Case 3:  0.25 < |x| < 710.47586
+//  Algorithm is based on the identity sinh(x) = ( exp(x) - exp(-x) ) / 2.
+//  The algorithm for exp is described as below.  There are a number of
+//  economies from evaluating both exp(x) and exp(-x).  Although we
+//  are evaluating both quantities, only where the quantities diverge do we
+//  duplicate the computations.  The basic algorithm for exp(x) is described
+//  below.
 //
-// 2. SINH_BY_TBL
-// =============
-// SAFE: SAFE is always 1 for TBL; 
-//
-// 3. SINH_BY_EXP
-// ==============
-// There is a danger of double-extended overflow   if N-1 > 16382 = 0x3ffe
-// r34 has N-1; 16382 is in register biased form, 0x13ffd
-// There is danger of double overflow if N-1 > 0x3fe
-//                       in register biased form, 0x103fd
-// Analagously, there is danger of single overflow if N-1 > 0x7e
-//                       in register biased form, 0x1007d
-// SAFE: If there is danger of overflow set SAFE to 0
-//
-// 4. SINH_HUGE
-// ============
-// SAFE: SAFE is always 0 for HUGE
+// Take the input x. w is "how many log2/128 in x?"
+//  w = x * 128/log2
+//  n = int(w)
+//  x = n log2/128 + r + delta
 
-#include "libm_support.h"
+//  n = 128M + index_1 + 2^4 index_2
+//  x = M log2 + (log2/128) index_1 + (log2/8) index_2 + r + delta
 
-//
-// Assembly macros
-//==============================================================
-sinh_FR_X            = f44
-sinh_FR_X2           = f9
-sinh_FR_X4           = f10
-sinh_FR_SGNX         = f40
-sinh_FR_all_ones     = f45
-sinh_FR_tmp          = f42
-
-sinh_FR_Inv_log2by64 = f9
-sinh_FR_log2by64_lo  = f11
-sinh_FR_log2by64_hi  = f10
-
-sinh_FR_A1           = f9
-sinh_FR_A2           = f10
-sinh_FR_A3           = f11
-
-sinh_FR_Rcub         = f12
-sinh_FR_M_temp       = f13
-sinh_FR_R_temp       = f13
-sinh_FR_Rsq          = f13
-sinh_FR_R            = f14
-
-sinh_FR_M            = f38
-
-sinh_FR_B1           = f15
-sinh_FR_B2           = f32
-sinh_FR_B3           = f33
-
-sinh_FR_peven_temp1  = f34
-sinh_FR_peven_temp2  = f35
-sinh_FR_peven        = f36
-
-sinh_FR_podd_temp1   = f34
-sinh_FR_podd_temp2   = f35
-sinh_FR_podd         = f37
-
-sinh_FR_poly_podd_temp1    =  f11 
-sinh_FR_poly_podd_temp2    =  f13
-sinh_FR_poly_peven_temp1   =  f11
-sinh_FR_poly_peven_temp2   =  f13
+//  exp(x) = 2^M  2^(index_1/128)  2^(index_2/8) exp(r) exp(delta)
+//       Construct 2^M
+//       Get 2^(index_1/128) from table_1;
+//       Get 2^(index_2/8)   from table_2;
+//       Calculate exp(r) by 5th order polynomial
+//          r = x - n (log2/128)_high
+//          delta = - n (log2/128)_low
+//       Calculate exp(delta) as 1 + delta
 
-sinh_FR_J_temp       = f9
-sinh_FR_J            = f10
 
-sinh_FR_Mmj          = f39
-
-sinh_FR_N_temp1      = f11
-sinh_FR_N_temp2      = f12
-sinh_FR_N            = f13
-
-sinh_FR_spos         = f14
-sinh_FR_sneg         = f15
-
-sinh_FR_Tjhi         = f32
-sinh_FR_Tjlo         = f33
-sinh_FR_Tmjhi        = f34
-sinh_FR_Tmjlo        = f35
-
-sinh_GR_mJ           = r35
-sinh_GR_J            = r36
-
-sinh_AD_mJ           = r38
-sinh_AD_J            = r39
-sinh_GR_all_ones     = r40
-
-sinh_FR_S_hi         = f9
-sinh_FR_S_hi_temp    = f10
-sinh_FR_S_lo_temp1   = f11 
-sinh_FR_S_lo_temp2   = f12 
-sinh_FR_S_lo_temp3   = f13 
-
-sinh_FR_S_lo         = f38
-sinh_FR_C_hi         = f39
+// Special values
+//==============================================================
+// sinh(+0)    = +0
+// sinh(-0)    = -0
 
-sinh_FR_C_hi_temp1   = f10
-sinh_FR_Y_hi         = f11 
-sinh_FR_Y_lo_temp    = f12 
-sinh_FR_Y_lo         = f13 
-sinh_FR_SINH         = f9
+// sinh(+qnan) = +qnan
+// sinh(-qnan) = -qnan
+// sinh(+snan) = +qnan
+// sinh(-snan) = -qnan
 
-sinh_FR_P1           = f14
-sinh_FR_P2           = f15
-sinh_FR_P3           = f32
-sinh_FR_P4           = f33
-sinh_FR_P5           = f34
-sinh_FR_P6           = f35
+// sinh(-inf)  = -inf
+// sinh(+inf)  = +inf
 
-sinh_FR_TINY_THRESH  = f9
+// Overflow and Underflow
+//=======================
+// sinh(x) = largest double normal when
+//     |x| = 710.47586 = 0x408633ce8fb9f87d
+//
+// Underflow is handled as described in case 1 above
 
-sinh_FR_SINH_temp    = f10
-sinh_FR_SCALE        = f11 
+// Registers used
+//==============================================================
+// Floating Point registers used:
+// f8, input, output
+// f6 -> f15,  f32 -> f61
 
-sinh_FR_signed_hi_lo = f10
+// General registers used:
+// r14 -> r40
 
+// Predicate registers used:
+// p6 -> p15
 
-GR_SAVE_PFS          = r41
-GR_SAVE_B0           = r42
-GR_SAVE_GP           = r43
+// Assembly macros
+//==============================================================
 
-GR_Parameter_X       = r44
-GR_Parameter_Y       = r45
-GR_Parameter_RESULT  = r46
+rRshf                 = r14
+rN_neg                = r14
+rAD_TB1               = r15
+rAD_TB2               = r16
+rAD_P                 = r17
+rN                    = r18
+rIndex_1              = r19
+rIndex_2_16           = r20
+rM                    = r21
+rBiased_M             = r21
+rSig_inv_ln2          = r22
+rIndex_1_neg          = r22
+rExp_bias             = r23
+rExp_bias_minus_1     = r23
+rExp_mask             = r24
+rTmp                  = r24
+rGt_ln                = r24
+rIndex_2_16_neg       = r24
+rM_neg                = r25
+rBiased_M_neg         = r25
+rRshf_2to56           = r26
+rAD_T1_neg            = r26
+rExp_2tom56           = r28
+rAD_T2_neg            = r28
+rAD_T1                = r29
+rAD_T2                = r30
+rSignexp_x            = r31
+rExp_x                = r31
+
+GR_SAVE_B0            = r33
+GR_SAVE_PFS           = r34
+GR_SAVE_GP            = r35
+
+GR_Parameter_X        = r37
+GR_Parameter_Y        = r38
+GR_Parameter_RESULT   = r39
+GR_Parameter_TAG      = r40
+
+
+FR_X                  = f10
+FR_Y                  = f1
+FR_RESULT             = f8
+
+fRSHF_2TO56           = f6
+fINV_LN2_2TO63        = f7
+fW_2TO56_RSH          = f9
+f2TOM56               = f11
+fP5                   = f12
+fP4                   = f13
+fP3                   = f14
+fP2                   = f15
+
+fLn2_by_128_hi        = f33
+fLn2_by_128_lo        = f34
+
+fRSHF                 = f35
+fNfloat               = f36
+fNormX                = f37
+fR                    = f38
+fF                    = f39
+
+fRsq                  = f40
+f2M                   = f41
+fS1                   = f42
+fT1                   = f42
+fS2                   = f43
+fT2                   = f43
+fS                    = f43
+fWre_urm_f8           = f44
+fAbsX                 = f44
+
+fMIN_DBL_OFLOW_ARG    = f45
+fMAX_DBL_NORM_ARG     = f46
+fXsq                  = f47
+fX4                   = f48
+fGt_pln               = f49
+fTmp                  = f49
+
+fP54                  = f50
+fP5432                = f50
+fP32                  = f51
+fP                    = f52
+fP54_neg              = f53
+fP5432_neg            = f53
+fP32_neg              = f54
+fP_neg                = f55
+fF_neg                = f56
+
+f2M_neg               = f57
+fS1_neg               = f58
+fT1_neg               = f58
+fS2_neg               = f59
+fT2_neg               = f59
+fS_neg                = f59
+fExp                  = f60
+fExp_neg              = f61
+
+fA6                   = f50
+fA65                  = f50
+fA6543                = f50
+fA654321              = f50
+fA5                   = f51
+fA4                   = f52
+fA43                  = f52
+fA3                   = f53
+fA2                   = f54
+fA21                  = f54
+fA1                   = f55
+fX3                   = f56
 
 // Data tables
 //==============================================================
 
-#ifdef _LIBC
-.rodata
-#else
-.data
-#endif
-
+RODATA
 .align 16
-double_sinh_arg_reduction:
-ASM_TYPE_DIRECTIVE(double_sinh_arg_reduction,@object)
-   data8 0xB8AA3B295C17F0BC, 0x00004005
-   data8 0xB17217F7D1000000, 0x00003FF8
-   data8 0xCF79ABC9E3B39804, 0x00003FD0
-ASM_SIZE_DIRECTIVE(double_sinh_arg_reduction)
-
-double_sinh_p_table:
-ASM_TYPE_DIRECTIVE(double_sinh_p_table,@object)
-   data8 0xAAAAAAAAAAAAAAAB, 0x00003FFC
-   data8 0x8888888888888412, 0x00003FF8
-   data8 0xD00D00D00D4D39F2, 0x00003FF2
-   data8 0xB8EF1D28926D8891, 0x00003FEC
-   data8 0xD732377688025BE9, 0x00003FE5
-   data8 0xB08AF9AE78C1239F, 0x00003FDE
-ASM_SIZE_DIRECTIVE(double_sinh_p_table)
-
-double_sinh_ab_table:
-ASM_TYPE_DIRECTIVE(double_sinh_ab_table,@object)
-   data8 0xAAAAAAAAAAAAAAAC, 0x00003FFC
-   data8 0x88888888884ECDD5, 0x00003FF8
-   data8 0xD00D0C6DCC26A86B, 0x00003FF2
-   data8 0x8000000000000002, 0x00003FFE
-   data8 0xAAAAAAAAAA402C77, 0x00003FFA
-   data8 0xB60B6CC96BDB144D, 0x00003FF5
-ASM_SIZE_DIRECTIVE(double_sinh_ab_table)
-
-double_sinh_j_table:
-ASM_TYPE_DIRECTIVE(double_sinh_j_table,@object)
-   data8 0xB504F333F9DE6484, 0x00003FFE, 0x1EB2FB13, 0x00000000
-   data8 0xB6FD91E328D17791, 0x00003FFE, 0x1CE2CBE2, 0x00000000
-   data8 0xB8FBAF4762FB9EE9, 0x00003FFE, 0x1DDC3CBC, 0x00000000
-   data8 0xBAFF5AB2133E45FB, 0x00003FFE, 0x1EE9AA34, 0x00000000
-   data8 0xBD08A39F580C36BF, 0x00003FFE, 0x9EAEFDC1, 0x00000000
-   data8 0xBF1799B67A731083, 0x00003FFE, 0x9DBF517B, 0x00000000
-   data8 0xC12C4CCA66709456, 0x00003FFE, 0x1EF88AFB, 0x00000000
-   data8 0xC346CCDA24976407, 0x00003FFE, 0x1E03B216, 0x00000000
-   data8 0xC5672A115506DADD, 0x00003FFE, 0x1E78AB43, 0x00000000
-   data8 0xC78D74C8ABB9B15D, 0x00003FFE, 0x9E7B1747, 0x00000000
-   data8 0xC9B9BD866E2F27A3, 0x00003FFE, 0x9EFE3C0E, 0x00000000
-   data8 0xCBEC14FEF2727C5D, 0x00003FFE, 0x9D36F837, 0x00000000
-   data8 0xCE248C151F8480E4, 0x00003FFE, 0x9DEE53E4, 0x00000000
-   data8 0xD06333DAEF2B2595, 0x00003FFE, 0x9E24AE8E, 0x00000000
-   data8 0xD2A81D91F12AE45A, 0x00003FFE, 0x1D912473, 0x00000000
-   data8 0xD4F35AABCFEDFA1F, 0x00003FFE, 0x1EB243BE, 0x00000000
-   data8 0xD744FCCAD69D6AF4, 0x00003FFE, 0x1E669A2F, 0x00000000
-   data8 0xD99D15C278AFD7B6, 0x00003FFE, 0x9BBC610A, 0x00000000
-   data8 0xDBFBB797DAF23755, 0x00003FFE, 0x1E761035, 0x00000000
-   data8 0xDE60F4825E0E9124, 0x00003FFE, 0x9E0BE175, 0x00000000
-   data8 0xE0CCDEEC2A94E111, 0x00003FFE, 0x1CCB12A1, 0x00000000
-   data8 0xE33F8972BE8A5A51, 0x00003FFE, 0x1D1BFE90, 0x00000000
-   data8 0xE5B906E77C8348A8, 0x00003FFE, 0x1DF2F47A, 0x00000000
-   data8 0xE8396A503C4BDC68, 0x00003FFE, 0x1EF22F22, 0x00000000
-   data8 0xEAC0C6E7DD24392F, 0x00003FFE, 0x9E3F4A29, 0x00000000
-   data8 0xED4F301ED9942B84, 0x00003FFE, 0x1EC01A5B, 0x00000000
-   data8 0xEFE4B99BDCDAF5CB, 0x00003FFE, 0x1E8CAC3A, 0x00000000
-   data8 0xF281773C59FFB13A, 0x00003FFE, 0x9DBB3FAB, 0x00000000
-   data8 0xF5257D152486CC2C, 0x00003FFE, 0x1EF73A19, 0x00000000
-   data8 0xF7D0DF730AD13BB9, 0x00003FFE, 0x9BB795B5, 0x00000000
-   data8 0xFA83B2DB722A033A, 0x00003FFE, 0x1EF84B76, 0x00000000
-   data8 0xFD3E0C0CF486C175, 0x00003FFE, 0x9EF5818B, 0x00000000
-   data8 0x8000000000000000, 0x00003FFF, 0x00000000, 0x00000000
-   data8 0x8164D1F3BC030773, 0x00003FFF, 0x1F77CACA, 0x00000000
-   data8 0x82CD8698AC2BA1D7, 0x00003FFF, 0x1EF8A91D, 0x00000000
-   data8 0x843A28C3ACDE4046, 0x00003FFF, 0x1E57C976, 0x00000000
-   data8 0x85AAC367CC487B15, 0x00003FFF, 0x9EE8DA92, 0x00000000
-   data8 0x871F61969E8D1010, 0x00003FFF, 0x1EE85C9F, 0x00000000
-   data8 0x88980E8092DA8527, 0x00003FFF, 0x1F3BF1AF, 0x00000000
-   data8 0x8A14D575496EFD9A, 0x00003FFF, 0x1D80CA1E, 0x00000000
-   data8 0x8B95C1E3EA8BD6E7, 0x00003FFF, 0x9D0373AF, 0x00000000
-   data8 0x8D1ADF5B7E5BA9E6, 0x00003FFF, 0x9F167097, 0x00000000
-   data8 0x8EA4398B45CD53C0, 0x00003FFF, 0x1EB70051, 0x00000000
-   data8 0x9031DC431466B1DC, 0x00003FFF, 0x1F6EB029, 0x00000000
-   data8 0x91C3D373AB11C336, 0x00003FFF, 0x1DFD6D8E, 0x00000000
-   data8 0x935A2B2F13E6E92C, 0x00003FFF, 0x9EB319B0, 0x00000000
-   data8 0x94F4EFA8FEF70961, 0x00003FFF, 0x1EBA2BEB, 0x00000000
-   data8 0x96942D3720185A00, 0x00003FFF, 0x1F11D537, 0x00000000
-   data8 0x9837F0518DB8A96F, 0x00003FFF, 0x1F0D5A46, 0x00000000
-   data8 0x99E0459320B7FA65, 0x00003FFF, 0x9E5E7BCA, 0x00000000
-   data8 0x9B8D39B9D54E5539, 0x00003FFF, 0x9F3AAFD1, 0x00000000
-   data8 0x9D3ED9A72CFFB751, 0x00003FFF, 0x9E86DACC, 0x00000000
-   data8 0x9EF5326091A111AE, 0x00003FFF, 0x9F3EDDC2, 0x00000000
-   data8 0xA0B0510FB9714FC2, 0x00003FFF, 0x1E496E3D, 0x00000000
-   data8 0xA27043030C496819, 0x00003FFF, 0x9F490BF6, 0x00000000
-   data8 0xA43515AE09E6809E, 0x00003FFF, 0x1DD1DB48, 0x00000000
-   data8 0xA5FED6A9B15138EA, 0x00003FFF, 0x1E65EBFB, 0x00000000
-   data8 0xA7CD93B4E965356A, 0x00003FFF, 0x9F427496, 0x00000000
-   data8 0xA9A15AB4EA7C0EF8, 0x00003FFF, 0x1F283C4A, 0x00000000
-   data8 0xAB7A39B5A93ED337, 0x00003FFF, 0x1F4B0047, 0x00000000
-   data8 0xAD583EEA42A14AC6, 0x00003FFF, 0x1F130152, 0x00000000
-   data8 0xAF3B78AD690A4375, 0x00003FFF, 0x9E8367C0, 0x00000000
-   data8 0xB123F581D2AC2590, 0x00003FFF, 0x9F705F90, 0x00000000
-   data8 0xB311C412A9112489, 0x00003FFF, 0x1EFB3C53, 0x00000000
-   data8 0xB504F333F9DE6484, 0x00003FFF, 0x1F32FB13, 0x00000000
-ASM_SIZE_DIRECTIVE(double_sinh_j_table)
-
-.align 32
-.global sinh#
 
-.section .text
-.proc  sinh#
-.align 32
-
-sinh: 
-#ifdef _LIBC
-.global __ieee754_sinh
-.type __ieee754_sinh,@function
-__ieee754_sinh:
-#endif
-
-// X infinity or NAN?
-// Take invalid fault if enabled
+// ************* DO NOT CHANGE ORDER OF THESE TABLES ********************
 
+// double-extended 1/ln(2)
+// 3fff b8aa 3b29 5c17 f0bb be87fed0691d3e88
+// 3fff b8aa 3b29 5c17 f0bc
+// For speed the significand will be loaded directly with a movl and setf.sig
+//   and the exponent will be bias+63 instead of bias+0.  Thus subsequent
+//   computations need to scale appropriately.
+// The constant 128/ln(2) is needed for the computation of w.  This is also
+//   obtained by scaling the computations.
+//
+// Two shifting constants are loaded directly with movl and setf.d.
+//   1. fRSHF_2TO56 = 1.1000..00 * 2^(63-7)
+//        This constant is added to x*1/ln2 to shift the integer part of
+//        x*128/ln2 into the rightmost bits of the significand.
+//        The result of this fma is fW_2TO56_RSH.
+//   2. fRSHF       = 1.1000..00 * 2^(63)
+//        This constant is subtracted from fW_2TO56_RSH * 2^(-56) to give
+//        the integer part of w, n, as a floating-point number.
+//        The result of this fms is fNfloat.
+
+
+LOCAL_OBJECT_START(exp_table_1)
+data8 0x408633ce8fb9f87e // smallest dbl overflow arg
+data8 0x408633ce8fb9f87d // largest dbl arg to give normal dbl result
+data8 0xb17217f7d1cf79ab , 0x00003ff7 // ln2/128 hi
+data8 0xc9e3b39803f2f6af , 0x00003fb7 // ln2/128 lo
+//
+// Table 1 is 2^(index_1/128) where
+// index_1 goes from 0 to 15
+//
+data8 0x8000000000000000 , 0x00003FFF
+data8 0x80B1ED4FD999AB6C , 0x00003FFF
+data8 0x8164D1F3BC030773 , 0x00003FFF
+data8 0x8218AF4373FC25EC , 0x00003FFF
+data8 0x82CD8698AC2BA1D7 , 0x00003FFF
+data8 0x8383594EEFB6EE37 , 0x00003FFF
+data8 0x843A28C3ACDE4046 , 0x00003FFF
+data8 0x84F1F656379C1A29 , 0x00003FFF
+data8 0x85AAC367CC487B15 , 0x00003FFF
+data8 0x8664915B923FBA04 , 0x00003FFF
+data8 0x871F61969E8D1010 , 0x00003FFF
+data8 0x87DB357FF698D792 , 0x00003FFF
+data8 0x88980E8092DA8527 , 0x00003FFF
+data8 0x8955EE03618E5FDD , 0x00003FFF
+data8 0x8A14D575496EFD9A , 0x00003FFF
+data8 0x8AD4C6452C728924 , 0x00003FFF
+LOCAL_OBJECT_END(exp_table_1)
+
+// Table 2 is 2^(index_1/8) where
+// index_2 goes from 0 to 7
+LOCAL_OBJECT_START(exp_table_2)
+data8 0x8000000000000000 , 0x00003FFF
+data8 0x8B95C1E3EA8BD6E7 , 0x00003FFF
+data8 0x9837F0518DB8A96F , 0x00003FFF
+data8 0xA5FED6A9B15138EA , 0x00003FFF
+data8 0xB504F333F9DE6484 , 0x00003FFF
+data8 0xC5672A115506DADD , 0x00003FFF
+data8 0xD744FCCAD69D6AF4 , 0x00003FFF
+data8 0xEAC0C6E7DD24392F , 0x00003FFF
+LOCAL_OBJECT_END(exp_table_2)
+
+
+LOCAL_OBJECT_START(exp_p_table)
+data8 0x3f8111116da21757 //P5
+data8 0x3fa55555d787761c //P4
+data8 0x3fc5555555555414 //P3
+data8 0x3fdffffffffffd6a //P2
+LOCAL_OBJECT_END(exp_p_table)
+
+LOCAL_OBJECT_START(sinh_p_table)
+data8 0xB08AF9AE78C1239F, 0x00003FDE  // A6
+data8 0xB8EF1D28926D8891, 0x00003FEC  // A4
+data8 0x8888888888888412, 0x00003FF8  // A2
+data8 0xD732377688025BE9, 0x00003FE5  // A5
+data8 0xD00D00D00D4D39F2, 0x00003FF2  // A3
+data8 0xAAAAAAAAAAAAAAAB, 0x00003FFC  // A1
+LOCAL_OBJECT_END(sinh_p_table)
 
-{ .mfi
-      alloc r32 = ar.pfs,0,12,4,0                  
-(p0)     fclass.m.unc  p6,p0 = f8, 0xe3	//@qnan | @snan | @inf 
-         mov sinh_GR_all_ones = -1
-}
-;;
 
+.section .text
+GLOBAL_IEEE754_ENTRY(sinh)
 
-{ .mfb
-         nop.m 999
-(p6)     fma.d.s0   f8 = f8,f1,f8               
-(p6)     br.ret.spnt     b0 ;;                          
+{ .mlx
+      getf.exp        rSignexp_x = f8  // Must recompute if x unorm
+      movl            rSig_inv_ln2 = 0xb8aa3b295c17f0bc  // significand of 1/ln2
 }
-
-// Put 0.25 in f9; p6 true if x < 0.25
-// Make constant that will generate inexact when squared
 { .mlx
-         setf.sig sinh_FR_all_ones = sinh_GR_all_ones 
-(p0)     movl            r32 = 0x000000000000fffd ;;         
+      addl            rAD_TB1    = @ltoff(exp_table_1), gp
+      movl            rRshf_2to56 = 0x4768000000000000   // 1.10000 2^(63+56)
 }
+;;
 
 { .mfi
-(p0)     setf.exp        f9 = r32                         
-(p0)     fclass.m.unc  p7,p0 = f8, 0x07	//@zero
-         nop.i 999 ;;
+      ld8             rAD_TB1    = [rAD_TB1]
+      fclass.m        p6,p0 = f8,0x0b  // Test for x=unorm
+      mov             rExp_mask = 0x1ffff
 }
-
-{ .mfb
-         nop.m 999
-(p0)     fmerge.s      sinh_FR_X    = f0,f8             
-(p7)     br.ret.spnt     b0 ;;                          
-}
-
-// Identify denormal operands.
 { .mfi
-         nop.m 999
-         fclass.m.unc  p10,p0 = f8, 0x09        //  + denorm
-         nop.i 999
-};;
-{ .mfi
-         nop.m 999
-         fclass.m.unc  p11,p0 = f8, 0x0a        //  - denorm
-         nop.i 999 
+      mov             rExp_bias = 0xffff
+      fnorm.s1        fNormX   = f8
+      mov             rExp_2tom56 = 0xffff-56
 }
+;;
+
+// Form two constants we need
+//  1/ln2 * 2^63  to compute  w = x * 1/ln2 * 128
+//  1.1000..000 * 2^(63+63-7) to right shift int(w) into the significand
 
 { .mfi
-         nop.m 999
-(p0)     fmerge.s      sinh_FR_SGNX = f8,f1             
-         nop.i 999 ;;
+      setf.sig        fINV_LN2_2TO63 = rSig_inv_ln2 // form 1/ln2 * 2^63
+      fclass.m        p8,p0 = f8,0x07  // Test for x=0
+      nop.i 999
 }
+{ .mlx
+      setf.d          fRSHF_2TO56 = rRshf_2to56 // Form const 1.100 * 2^(63+56)
+      movl            rRshf = 0x43e8000000000000 // 1.10000 2^63 for right shift
+}
+;;
 
 { .mfi
-         nop.m 999
-(p0)     fcmp.lt.unc.s1  p0,p7 = sinh_FR_X,f9             
-         nop.i 999 ;;
+      ldfpd           fMIN_DBL_OFLOW_ARG, fMAX_DBL_NORM_ARG = [rAD_TB1],16
+      fclass.m        p10,p0 = f8,0x1e3  // Test for x=inf, nan, NaT
+      nop.i           0
 }
-
-{ .mib
-         nop.m 999
-         nop.i 999
-(p7)     br.cond.sptk    L(SINH_BY_TBL) ;;                      
-}
-
-
-L(SINH_BY_POLY): 
-
-// POLY cannot overflow so there is no need to call __libm_error_support
-// Set tiny_SAFE (p7) to 1(0) if answer is not tiny 
-// Currently we do not use tiny_SAFE. So the setting of tiny_SAFE is
-// commented out.
-//(p0)     movl            r32            = 0x000000000000fc01           
-//(p0)     setf.exp        f10            = r32                         
-//(p0)     fcmp.lt.unc.s1  p6,p7          = f8,f10                     
-// Here is essentially the algorithm for SINH_BY_POLY. Care is take for the order 
-// of multiplication; and P_1 is not exactly 1/3!, P_2 is not exactly 1/5!, etc.
-// Note that ax = |x|
-// sinh(x) = sign * (series(e^x) - series(e^-x))/2
-//         = sign * (ax + ax^3/3! + ax^5/5! + ax^7/7! + ax^9/9! + ax^11/11! + ax^13/13!)
-//         = sign * (ax   + ax * ( ax^2 * (1/3! + ax^4 * (1/7! + ax^4*1/11!)) )
-//                        + ax * ( ax^4 * (1/5! + ax^4 * (1/9! + ax^4*1/13!)) ) )
-//         = sign * (ax   + ax*p_odd + (ax*p_even))
-//         = sign * (ax   + Y_lo)
-// sinh(x) = sign * (Y_hi + Y_lo)
-// Get the values of P_x from the table
 { .mfb
-(p0)  addl           r34   = @ltoff(double_sinh_p_table), gp
-(p10) fma.d.s0       f8 =  f8,f8,f8
-(p10) br.ret.spnt    b0
+      setf.exp        f2TOM56 = rExp_2tom56 // form 2^-56 for scaling Nfloat
+      nop.f           0
+(p6)  br.cond.spnt    SINH_UNORM            // Branch if x=unorm
 }
 ;;
 
+SINH_COMMON:
+{ .mfi
+      ldfe            fLn2_by_128_hi  = [rAD_TB1],16
+      nop.f           0
+      nop.i           0
+}
 { .mfb
-      ld8 r34 = [r34]
-(p11) fnma.d.s0      f8 =  f8,f8,f8
-(p11) br.ret.spnt    b0
+      setf.d          fRSHF = rRshf // Form right shift const 1.100 * 2^63
+      nop.f           0
+(p8)  br.ret.spnt     b0                    // Exit for x=0, result=x
 }
 ;;
 
-// Calculate sinh_FR_X2 = ax*ax and sinh_FR_X4 = ax*ax*ax*ax
-{ .mmf
-         nop.m 999
-(p0)     ldfe            sinh_FR_P1 = [r34],16                 
-(p0)     fma.s1        sinh_FR_X2 = sinh_FR_X, sinh_FR_X, f0 ;;           
-}
-
-{ .mmi
-(p0)     ldfe            sinh_FR_P2 = [r34],16 ;;                 
-(p0)     ldfe            sinh_FR_P3 = [r34],16                 
-         nop.i 999 ;;
+{ .mfi
+      ldfe            fLn2_by_128_lo  = [rAD_TB1],16
+      nop.f           0
+      nop.i           0
 }
-
-{ .mmi
-(p0)     ldfe            sinh_FR_P4 = [r34],16 ;;                 
-(p0)     ldfe            sinh_FR_P5 = [r34],16                 
-         nop.i 999 ;;
+{ .mfb
+      and             rExp_x = rExp_mask, rSignexp_x // Biased exponent of x
+(p10) fma.d.s0        f8 = f8,f1,f0  // Result if x=inf, nan, NaT
+(p10) br.ret.spnt     b0               // quick exit for x=inf, nan, NaT
 }
+;;
 
+// After that last load rAD_TB1 points to the beginning of table 1
 { .mfi
-(p0)     ldfe            sinh_FR_P6 = [r34],16                 
-(p0)     fma.s1        sinh_FR_X4 = sinh_FR_X2, sinh_FR_X2, f0         
-         nop.i 999 ;;
+      nop.m           0
+      fcmp.eq.s0      p6,p0 = f8, f0       // Dummy to set D
+      sub             rExp_x = rExp_x, rExp_bias // True exponent of x
 }
+;;
 
-// Calculate sinh_FR_podd = p_odd and sinh_FR_peven = p_even 
 { .mfi
-         nop.m 999
-(p0)     fma.s1      sinh_FR_poly_podd_temp1 = sinh_FR_X4, sinh_FR_P5, sinh_FR_P3                
-         nop.i 999 ;;
+      nop.m           0
+      fmerge.s        fAbsX = f0, fNormX   // Form |x|
+      nop.i           0
 }
-
-{ .mfi
-         nop.m 999
-(p0)     fma.s1      sinh_FR_poly_podd_temp2 = sinh_FR_X4, sinh_FR_poly_podd_temp1, sinh_FR_P1   
-         nop.i 999
+{ .mfb
+      cmp.gt          p7, p0 = -2, rExp_x      // Test |x| < 2^(-2)
+      fma.s1          fXsq = fNormX, fNormX, f0  // x*x for small path
+(p7)  br.cond.spnt    SINH_SMALL               // Branch if 0 < |x| < 2^-2
 }
+;;
 
-{ .mfi
-         nop.m 999
-(p0)     fma.s1      sinh_FR_poly_peven_temp1 = sinh_FR_X4, sinh_FR_P6, sinh_FR_P4               
-         nop.i 999 ;;
-}
+// W = X * Inv_log2_by_128
+// By adding 1.10...0*2^63 we shift and get round_int(W) in significand.
+// We actually add 1.10...0*2^56 to X * Inv_log2 to do the same thing.
 
 { .mfi
-         nop.m 999
-(p0)     fma.s1      sinh_FR_podd       = sinh_FR_X2, sinh_FR_poly_podd_temp2, f0           
-         nop.i 999
+      add             rAD_P = 0x180, rAD_TB1
+      fma.s1          fW_2TO56_RSH  = fNormX, fINV_LN2_2TO63, fRSHF_2TO56
+      add             rAD_TB2 = 0x100, rAD_TB1
 }
+;;
 
-{ .mfi
-         nop.m 999
-(p0)     fma.s1      sinh_FR_poly_peven_temp2 = sinh_FR_X4, sinh_FR_poly_peven_temp1, sinh_FR_P2 
-         nop.i 999 ;;
-}
+// Divide arguments into the following categories:
+//  Certain Safe                - 0.25 <= |x| <= MAX_DBL_NORM_ARG
+//  Possible Overflow       p14 - MAX_DBL_NORM_ARG < |x| < MIN_DBL_OFLOW_ARG
+//  Certain Overflow        p15 - MIN_DBL_OFLOW_ARG <= |x| < +inf
+//
+// If the input is really a double arg, then there will never be
+// "Possible Overflow" arguments.
+//
 
 { .mfi
-         nop.m 999
-(p0)     fma.s1      sinh_FR_peven       = sinh_FR_X4, sinh_FR_poly_peven_temp2, f0         
-         nop.i 999 ;;
+      ldfpd           fP5, fP4  = [rAD_P] ,16
+      fcmp.ge.s1      p15,p14 = fAbsX,fMIN_DBL_OFLOW_ARG
+      nop.i           0
 }
+;;
 
-// Calculate sinh_FR_Y_lo = ax*p_odd + (ax*p_even)
-{ .mfi
-         nop.m 999
-(p0)     fma.s1      sinh_FR_Y_lo_temp    = sinh_FR_X, sinh_FR_peven, f0                    
-         nop.i 999 ;;
-}
+// Nfloat = round_int(W)
+// The signficand of fW_2TO56_RSH contains the rounded integer part of W,
+// as a twos complement number in the lower bits (that is, it may be negative).
+// That twos complement number (called N) is put into rN.
 
-{ .mfi
-         nop.m 999
-(p0)     fma.s1      sinh_FR_Y_lo         = sinh_FR_X, sinh_FR_podd,  sinh_FR_Y_lo_temp          
-         nop.i 999 ;;
-}
+// Since fW_2TO56_RSH is scaled by 2^56, it must be multiplied by 2^-56
+// before the shift constant 1.10000 * 2^63 is subtracted to yield fNfloat.
+// Thus, fNfloat contains the floating point version of N
 
-// Calculate sinh_FR_SINH = Y_hi + Y_lo. Note that ax = Y_hi
 { .mfi
-         nop.m 999
-(p0)     fma.s1      sinh_FR_SINH        = sinh_FR_X, f1, sinh_FR_Y_lo                      
-         nop.i 999 ;;
+      ldfpd           fP3, fP2  = [rAD_P]
+(p14) fcmp.gt.unc.s1  p14,p0 = fAbsX,fMAX_DBL_NORM_ARG
+      nop.i           0
 }
-// Dummy multiply to generate inexact
-{ .mfi
-         nop.m 999
-(p0)     fmpy.s0      sinh_FR_tmp = sinh_FR_all_ones, sinh_FR_all_ones
-         nop.i 999
-}
-
-// Calculate f8 = sign * (Y_hi + Y_lo)
-// Go to return
 { .mfb
-         nop.m 999
-(p0)     fma.d.s0        f8 = sinh_FR_SGNX,sinh_FR_SINH,f0                       
-(p0)     br.ret.sptk     b0 ;;                          
+      nop.m           0
+      fms.s1          fNfloat = fW_2TO56_RSH, f2TOM56, fRSHF
+(p15) br.cond.spnt    SINH_CERTAIN_OVERFLOW
 }
+;;
 
-
-L(SINH_BY_TBL): 
-
-// Now that we are at TBL; so far all we know is that |x| >= 0.25.
-// The first two steps are the same for TBL and EXP, but if we are HUGE
-// we want to leave now. 
-// Double-extended:
-// Go to HUGE if |x| >= 2^14, 1000d (register-biased) is e = 14 (true)
-// Double
-// Go to HUGE if |x| >= 2^10, 10009 (register-biased) is e = 10 (true)
-// Single
-// Go to HUGE if |x| >= 2^7,  10006 (register-biased) is e =  7 (true)
-
-{ .mlx
-         nop.m 999
-(p0)     movl            r32 = 0x0000000000010009 ;;         
+{ .mfi
+      getf.sig        rN        = fW_2TO56_RSH
+      nop.f           0
+      mov             rExp_bias_minus_1 = 0xfffe
 }
+;;
 
+// rIndex_1 has index_1
+// rIndex_2_16 has index_2 * 16
+// rBiased_M has M
+
+// rM has true M
+// r = x - Nfloat * ln2_by_128_hi
+// f = 1 - Nfloat * ln2_by_128_lo
 { .mfi
-(p0)     setf.exp        f9 = r32                         
-         nop.f 999
-         nop.i 999 ;;
+      and             rIndex_1 = 0x0f, rN
+      fnma.s1         fR   = fNfloat, fLn2_by_128_hi, fNormX
+      shr             rM = rN,  0x7
 }
-
 { .mfi
-         nop.m 999
-(p0)     fcmp.ge.unc.s1  p6,p7 = sinh_FR_X,f9             
-         nop.i 999 ;;
+      and             rIndex_2_16 = 0x70, rN
+      fnma.s1         fF   = fNfloat, fLn2_by_128_lo, f1
+      sub             rN_neg = r0, rN
 }
-
-{ .mib
-         nop.m 999
-         nop.i 999
-(p6)     br.cond.spnt    L(SINH_HUGE) ;;                        
-}
-
-// r32 = 1
-// r34 = N-1 
-// r35 = N
-// r36 = j
-// r37 = N+1
-
-// TBL can never overflow
-// sinh(x) = sinh(B+R)
-//         = sinh(B)cosh(R) + cosh(B)sinh(R)
-// 
-// ax = |x| = M*log2/64 + R
-// B = M*log2/64
-// M = 64*N + j 
-//   We will calcualte M and get N as (M-j)/64
-//   The division is a shift.
-// exp(B)  = exp(N*log2 + j*log2/64)
-//         = 2^N * 2^(j*log2/64)
-// sinh(B) = 1/2(e^B -e^-B)
-//         = 1/2(2^N * 2^(j*log2/64) - 2^-N * 2^(-j*log2/64)) 
-// sinh(B) = (2^(N-1) * 2^(j*log2/64) - 2^(-N-1) * 2^(-j*log2/64)) 
-// cosh(B) = (2^(N-1) * 2^(j*log2/64) + 2^(-N-1) * 2^(-j*log2/64)) 
-// 2^(j*log2/64) is stored as Tjhi + Tjlo , j= -32,....,32
-// Tjhi is double-extended (80-bit) and Tjlo is single(32-bit)
-// R = ax - M*log2/64
-// R = ax - M*log2_by_64_hi - M*log2_by_64_lo
-// exp(R) = 1 + R +R^2(1/2! + R(1/3! + R(1/4! + ... + R(1/n!)...)
-//        = 1 + p_odd + p_even
-//        where the p_even uses the A coefficients and the p_even uses the B coefficients
-// So sinh(R) = 1 + p_odd + p_even -(1 -p_odd -p_even)/2 = p_odd
-//    cosh(R) = 1 + p_even
-//    sinh(B) = S_hi + S_lo
-//    cosh(B) = C_hi
-// sinh(x) = sinh(B)cosh(R) + cosh(B)sinh(R)
-// ******************************************************
-// STEP 1 (TBL and EXP)
-// ******************************************************
-// Get the following constants. 
-// f9  = Inv_log2by64
-// f10 = log2by64_hi
-// f11 = log2by64_lo
+;;
 
 { .mmi
-(p0)  adds                 r32 = 0x1,r0      
-(p0)  addl           r34   = @ltoff(double_sinh_arg_reduction), gp
-      nop.i 999
+      and             rIndex_1_neg = 0x0f, rN_neg
+      add             rBiased_M = rExp_bias_minus_1, rM
+      shr             rM_neg = rN_neg,  0x7
 }
-;;
-
 { .mmi
-      ld8 r34 = [r34]
-      nop.m 999
-      nop.i 999
+      and             rIndex_2_16_neg = 0x70, rN_neg
+      add             rAD_T2 = rAD_TB2, rIndex_2_16
+      shladd          rAD_T1 = rIndex_1, 4, rAD_TB1
 }
 ;;
 
-
-// We want 2^(N-1) and 2^(-N-1). So bias N-1 and -N-1 and
-// put them in an exponent.
-// sinh_FR_spos = 2^(N-1) and sinh_FR_sneg = 2^(-N-1)
-// r39 = 0xffff + (N-1)  = 0xffff +N -1
-// r40 = 0xffff - (N +1) = 0xffff -N -1
-
-{ .mlx
-         nop.m 999
-(p0)     movl                r38 = 0x000000000000fffe ;; 
-}
+// rAD_T1 has address of T1
+// rAD_T2 has address if T2
 
 { .mmi
-(p0)     ldfe            sinh_FR_Inv_log2by64 = [r34],16 ;;       
-(p0)     ldfe            sinh_FR_log2by64_hi  = [r34],16       
-         nop.i 999 ;;
-}
-
-{ .mbb
-(p0)     ldfe            sinh_FR_log2by64_lo  = [r34],16       
-         nop.b 999
-         nop.b 999 ;;
+      setf.exp        f2M = rBiased_M
+      ldfe            fT2  = [rAD_T2]
+      nop.i           0
 }
-
-// Get the A coefficients
-// f9  = A_1
-// f10 = A_2
-// f11 = A_3
-
 { .mmi
-      nop.m 999
-(p0)  addl           r34   = @ltoff(double_sinh_ab_table), gp
-      nop.i 999
+      add             rBiased_M_neg = rExp_bias_minus_1, rM_neg
+      add             rAD_T2_neg = rAD_TB2, rIndex_2_16_neg
+      shladd          rAD_T1_neg = rIndex_1_neg, 4, rAD_TB1
 }
 ;;
 
+// Create Scale = 2^M
+// Load T1 and T2
 { .mmi
-      ld8 r34 = [r34]
-      nop.m 999
-      nop.i 999
+      ldfe            fT1  = [rAD_T1]
+      nop.m           0
+      nop.i           0
 }
-;;
-
-
-// Calculate M and keep it as integer and floating point.
-// f38 = M = round-to-integer(x*Inv_log2by64)
-// sinh_FR_M = M = truncate(ax/(log2/64))
-// Put the significand of M in r35
-//    and the floating point representation of M in sinh_FR_M
-
-{ .mfi
-         nop.m 999
-(p0)     fma.s1          sinh_FR_M      = sinh_FR_X, sinh_FR_Inv_log2by64, f0 
-         nop.i 999
-}
-
-{ .mfi
-(p0)     ldfe            sinh_FR_A1 = [r34],16            
-         nop.f 999
-         nop.i 999 ;;
+{ .mmf
+      setf.exp        f2M_neg = rBiased_M_neg
+      ldfe            fT2_neg  = [rAD_T2_neg]
+      fma.s1          fF_neg   = fNfloat, fLn2_by_128_lo, f1
 }
+;;
 
 { .mfi
-         nop.m 999
-(p0)     fcvt.fx.s1      sinh_FR_M_temp = sinh_FR_M                      
-         nop.i 999 ;;
+      nop.m           0
+      fma.s1          fRsq = fR, fR, f0
+      nop.i           0
 }
-
 { .mfi
-         nop.m 999
-(p0)     fnorm.s1        sinh_FR_M      = sinh_FR_M_temp                 
-         nop.i 999 ;;
+      ldfe            fT1_neg  = [rAD_T1_neg]
+      fma.s1          fP54 = fR, fP5, fP4
+      nop.i           0
 }
+;;
 
 { .mfi
-(p0)     getf.sig        r35       = sinh_FR_M_temp                 
-         nop.f 999
-         nop.i 999 ;;
+      nop.m           0
+      fma.s1          fP32 = fR, fP3, fP2
+      nop.i           0
 }
-
-// M is still in r35. Calculate j. j is the signed extension of the six lsb of M. It 
-// has a range of -32 thru 31.
-// r35 = M
-// r36 = j 
-
-{ .mii
-         nop.m 999
-         nop.i 999 ;;
-(p0)     and            r36 = 0x3f, r35 ;;   
-}
-
-// Calculate R
-// f13 = f44 - f12*f10 = ax - M*log2by64_hi
-// f14 = f13 - f8*f11  = R = (ax - M*log2by64_hi) - M*log2by64_lo
-
 { .mfi
-         nop.m 999
-(p0)     fnma.s1           sinh_FR_R_temp = sinh_FR_M, sinh_FR_log2by64_hi, sinh_FR_X      
-         nop.i 999
+      nop.m           0
+      fnma.s1         fP54_neg = fR, fP5, fP4
+      nop.i           0
 }
+;;
 
 { .mfi
-(p0)     ldfe            sinh_FR_A2 = [r34],16            
-         nop.f 999
-         nop.i 999 ;;
+      nop.m           0
+      fnma.s1         fP32_neg = fR, fP3, fP2
+      nop.i           0
 }
+;;
 
 { .mfi
-         nop.m 999
-(p0)     fnma.s1           sinh_FR_R      = sinh_FR_M, sinh_FR_log2by64_lo, sinh_FR_R_temp 
-         nop.i 999
-}
-
-// Get the B coefficients
-// f15 = B_1
-// f32 = B_2
-// f33 = B_3
-
-{ .mmi
-(p0)     ldfe            sinh_FR_A3 = [r34],16 ;;            
-(p0)     ldfe            sinh_FR_B1 = [r34],16            
-         nop.i 999 ;;
-}
-
-{ .mmi
-(p0)     ldfe            sinh_FR_B2 = [r34],16 ;;            
-(p0)     ldfe            sinh_FR_B3 = [r34],16            
-         nop.i 999 ;;
-}
-
-{ .mii
-         nop.m 999
-(p0)     shl            r34 = r36,  0x2 ;;   
-(p0)     sxt1           r37 = r34 ;;         
+      nop.m           0
+      fma.s1          fP5432  = fRsq, fP54, fP32
+      nop.i           0
 }
-
-// ******************************************************
-// STEP 2 (TBL and EXP)
-// ******************************************************
-// Calculate Rsquared and Rcubed in preparation for p_even and p_odd
-// f12 = R*R*R
-// f13 = R*R
-// f14 = R <== from above
-
 { .mfi
-         nop.m 999
-(p0)     fma.s1             sinh_FR_Rsq  = sinh_FR_R,   sinh_FR_R, f0  
-(p0)     shr            r36 = r37,  0x2 ;;   
-}
-
-// r34 = M-j = r35 - r36
-// r35 = N = (M-j)/64
-
-{ .mii
-(p0)     sub                  r34 = r35, r36    
-         nop.i 999 ;;
-(p0)     shr                  r35 = r34, 0x6 ;;    
-}
-
-{ .mii
-(p0)     sub                 r40 = r38, r35           
-(p0)     adds                 r37 = 0x1, r35    
-(p0)     add                 r39 = r38, r35 ;;           
-}
-
-// Get the address of the J table, add the offset, 
-// addresses are sinh_AD_mJ and sinh_AD_J, get the T value
-// f32 = T(j)_hi
-// f33 = T(j)_lo
-// f34 = T(-j)_hi
-// f35 = T(-j)_lo
-
-{ .mmi
-(p0)  sub                  r34 = r35, r32    
-(p0)  addl           r37   = @ltoff(double_sinh_j_table), gp
-      nop.i 999
+      nop.m           0
+      fma.s1          fS2  = fF,fT2,f0
+      nop.i           0
 }
 ;;
 
-{ .mmi
-      ld8 r37 = [r37]
-      nop.m 999
-      nop.i 999
-}
-;;
-
-
-{ .mfi
-         nop.m 999
-(p0)     fma.s1             sinh_FR_Rcub = sinh_FR_Rsq, sinh_FR_R, f0  
-         nop.i 999
-}
-
-// ******************************************************
-// STEP 3 Now decide if we need to branch to EXP
-// ******************************************************
-// Put 32 in f9; p6 true if x < 32
-// Go to EXP if |x| >= 32 
-
-{ .mlx
-         nop.m 999
-(p0)     movl                r32 = 0x0000000000010004 ;;               
-}
-
-// Calculate p_even
-// f34 = B_2 + Rsq *B_3
-// f35 = B_1 + Rsq*f34      = B_1 + Rsq * (B_2 + Rsq *B_3)
-// f36 = p_even = Rsq * f35 = Rsq * (B_1 + Rsq * (B_2 + Rsq *B_3))
-
 { .mfi
-         nop.m 999
-(p0)     fma.s1          sinh_FR_peven_temp1 = sinh_FR_Rsq, sinh_FR_B3,          sinh_FR_B2  
-         nop.i 999 ;;
+      nop.m           0
+      fma.s1          fS1  = f2M,fT1,f0
+      nop.i           0
 }
-
 { .mfi
-         nop.m 999
-(p0)     fma.s1          sinh_FR_peven_temp2 = sinh_FR_Rsq, sinh_FR_peven_temp1, sinh_FR_B1  
-         nop.i 999
+      nop.m           0
+      fma.s1          fP5432_neg  = fRsq, fP54_neg, fP32_neg
+      nop.i           0
 }
-
-// Calculate p_odd
-// f34 = A_2 + Rsq *A_3
-// f35 = A_1 + Rsq * (A_2 + Rsq *A_3)
-// f37 = podd = R + Rcub * (A_1 + Rsq * (A_2 + Rsq *A_3))
+;;
 
 { .mfi
-         nop.m 999
-(p0)     fma.s1          sinh_FR_podd_temp1 = sinh_FR_Rsq,        sinh_FR_A3,         sinh_FR_A2  
-         nop.i 999 ;;
+      nop.m           0
+      fma.s1          fS1_neg  = f2M_neg,fT1_neg,f0
+      nop.i           0
 }
-
 { .mfi
-(p0)     setf.exp            sinh_FR_N_temp1 = r39            
-         nop.f 999
-         nop.i 999 ;;
+      nop.m           0
+      fma.s1          fS2_neg  = fF_neg,fT2_neg,f0
+      nop.i           0
 }
+;;
 
 { .mfi
-         nop.m 999
-(p0)     fma.s1          sinh_FR_peven       = sinh_FR_Rsq, sinh_FR_peven_temp2, f0     
-         nop.i 999
+      nop.m           0
+      fma.s1          fP     = fRsq, fP5432, fR
+      nop.i           0
 }
-
 { .mfi
-         nop.m 999
-(p0)     fma.s1          sinh_FR_podd_temp2 = sinh_FR_Rsq,        sinh_FR_podd_temp1, sinh_FR_A1  
-         nop.i 999 ;;
+      nop.m           0
+      fma.s1          fS   = fS1,fS2,f0
+      nop.i           0
 }
+;;
 
 { .mfi
-(p0)     setf.exp            f9  = r32                              
-         nop.f 999
-         nop.i 999 ;;
+      nop.m           0
+      fms.s1          fP_neg     = fRsq, fP5432_neg, fR
+      nop.i           0
 }
-
 { .mfi
-         nop.m 999
-(p0)     fma.s1          sinh_FR_podd       = sinh_FR_podd_temp2, sinh_FR_Rcub,       sinh_FR_R   
-         nop.i 999
+      nop.m           0
+      fma.s1          fS_neg   = fS1_neg,fS2_neg,f0
+      nop.i           0
 }
+;;
 
-// sinh_GR_mj contains the table offset for -j
-// sinh_GR_j  contains the table offset for +j
-// p6 is true when j <= 0
-
-{ .mlx
-(p0)     setf.exp            sinh_FR_N_temp2 = r40            
-(p0)     movl                r40 = 0x0000000000000020 ;;    
+{ .mfb
+      nop.m           0
+      fmpy.s0         fTmp = fLn2_by_128_lo, fLn2_by_128_lo // Force inexact
+(p14) br.cond.spnt    SINH_POSSIBLE_OVERFLOW
 }
+;;
 
 { .mfi
-(p0)     sub                 sinh_GR_mJ = r40,  r36           
-(p0)     fmerge.se           sinh_FR_spos    = sinh_FR_N_temp1, f1 
-(p0)     adds                sinh_GR_J  = 0x20, r36 ;;           
+      nop.m           0
+      fma.s1          fExp = fS, fP, fS
+      nop.i           0
 }
-
-{ .mii
-         nop.m 999
-(p0)     shl                  sinh_GR_mJ = sinh_GR_mJ, 5 ;;   
-(p0)     add                  sinh_AD_mJ = r37, sinh_GR_mJ ;; 
-}
-
-{ .mmi
-         nop.m 999
-(p0)     ldfe                 sinh_FR_Tmjhi = [sinh_AD_mJ],16                 
-(p0)     shl                  sinh_GR_J  = sinh_GR_J, 5 ;;    
-}
-
 { .mfi
-(p0)     ldfs                 sinh_FR_Tmjlo = [sinh_AD_mJ],16                 
-(p0)     fcmp.lt.unc.s1      p0,p7 = sinh_FR_X,f9                          
-(p0)     add                  sinh_AD_J  = r37, sinh_GR_J ;;  
-}
-
-{ .mmi
-(p0)     ldfe                 sinh_FR_Tjhi  = [sinh_AD_J],16 ;;                  
-(p0)     ldfs                 sinh_FR_Tjlo  = [sinh_AD_J],16                  
-         nop.i 999 ;;
+      nop.m           0
+      fma.s1          fExp_neg = fS_neg, fP_neg, fS_neg
+      nop.i           0
 }
+;;
 
 { .mfb
-         nop.m 999
-(p0)     fmerge.se           sinh_FR_sneg    = sinh_FR_N_temp2, f1 
-(p7)     br.cond.spnt        L(SINH_BY_EXP) ;;                            
+      nop.m           0
+      fms.d.s0        f8 = fExp, f1, fExp_neg
+      br.ret.sptk     b0                  // Normal path exit
 }
+;;
 
+// Here if 0 < |x| < 0.25
+SINH_SMALL:
 { .mfi
-         nop.m 999
-         nop.f 999
-         nop.i 999 ;;
+      add             rAD_T1 = 0x1a0, rAD_TB1
+      fcmp.lt.s1      p7, p8 = fNormX, f0       // Test sign of x
+      cmp.gt          p6, p0 = -60, rExp_x      // Test |x| < 2^(-60)
 }
-
-// ******************************************************
-// If NOT branch to EXP
-// ******************************************************
-// Calculate S_hi and S_lo
-// sinh_FR_S_hi_temp = sinh_FR_sneg * sinh_FR_Tmjhi
-// sinh_FR_S_hi = sinh_FR_spos * sinh_FR_Tjhi - sinh_FR_S_hi_temp
-// sinh_FR_S_hi = sinh_FR_spos * sinh_FR_Tjhi - (sinh_FR_sneg * sinh_FR_Tmjlo)
-
 { .mfi
-         nop.m 999
-(p0)    fma.s1         sinh_FR_S_hi_temp = sinh_FR_sneg, sinh_FR_Tmjhi, f0   
-         nop.i 999 ;;
+      add             rAD_T2 = 0x1d0, rAD_TB1
+      nop.f           0
+      nop.i           0
 }
+;;
 
-{ .mfi
-         nop.m 999
-(p0)    fms.s1         sinh_FR_S_hi = sinh_FR_spos, sinh_FR_Tjhi,  sinh_FR_S_hi_temp              
-         nop.i 999
+{ .mmb
+      ldfe            fA6 = [rAD_T1],16
+      ldfe            fA5 = [rAD_T2],16
+(p6)  br.cond.spnt    SINH_VERY_SMALL           // Branch if |x| < 2^(-60)
 }
+;;
 
-// Calculate C_hi
-// sinh_FR_C_hi_temp1 = sinh_FR_sneg * sinh_FR_Tmjhi
-// sinh_FR_C_hi = sinh_FR_spos * sinh_FR_Tjhi + sinh_FR_C_hi_temp1
-
-{ .mfi
-         nop.m 999
-(p0)    fma.s1         sinh_FR_C_hi_temp1 = sinh_FR_sneg, sinh_FR_Tmjhi, f0                   
-         nop.i 999 ;;
+{ .mmi
+      ldfe            fA4 = [rAD_T1],16
+      ldfe            fA3 = [rAD_T2],16
+      nop.i           0
 }
+;;
 
-// sinh_FR_S_lo_temp1 =  sinh_FR_spos * sinh_FR_Tjhi - sinh_FR_S_hi
-// sinh_FR_S_lo_temp2 = -sinh_FR_sneg * sinh_FR_Tmjlo + (sinh_FR_spos * sinh_FR_Tjhi - sinh_FR_S_hi)
-// sinh_FR_S_lo_temp2 = -sinh_FR_sneg * sinh_FR_Tmjlo + (sinh_FR_S_lo_temp1              )
-
-{ .mfi
-         nop.m 999
-(p0)    fms.s1         sinh_FR_S_lo_temp1 =  sinh_FR_spos, sinh_FR_Tjhi,  sinh_FR_S_hi            
-         nop.i 999
+{ .mmi
+      ldfe            fA2 = [rAD_T1]
+      ldfe            fA1 = [rAD_T2]
+      nop.i           0
 }
+;;
 
 { .mfi
-         nop.m 999
-(p0)    fma.s1         sinh_FR_C_hi       = sinh_FR_spos, sinh_FR_Tjhi, sinh_FR_C_hi_temp1    
-         nop.i 999 ;;
+      nop.m           0
+      fma.s1          fX3 = fNormX, fXsq, f0
+      nop.i           0
 }
-
 { .mfi
-         nop.m 999
-(p0)    fnma.s1        sinh_FR_S_lo_temp2 = sinh_FR_sneg, sinh_FR_Tmjhi, sinh_FR_S_lo_temp1       
-         nop.i 999
+      nop.m           0
+      fma.s1          fX4 = fXsq, fXsq, f0
+      nop.i           0
 }
-
-// sinh_FR_S_lo_temp1 = sinh_FR_sneg * sinh_FR_Tmjlo
-// sinh_FR_S_lo_temp3 = sinh_FR_spos * sinh_FR_Tjlo - sinh_FR_S_lo_temp1
-// sinh_FR_S_lo_temp3 = sinh_FR_spos * sinh_FR_Tjlo -(sinh_FR_sneg * sinh_FR_Tmjlo)
-// sinh_FR_S_lo = sinh_FR_S_lo_temp3 + sinh_FR_S_lo_temp2
+;;
 
 { .mfi
-         nop.m 999
-(p0)    fma.s1         sinh_FR_S_lo_temp1 =  sinh_FR_sneg, sinh_FR_Tmjlo, f0                  
-         nop.i 999 ;;
+      nop.m           0
+      fma.s1          fA65 = fXsq, fA6, fA5
+      nop.i           0
 }
-
-/////////// BUG FIX fma to fms -TK
 { .mfi
-         nop.m 999
-(p0)    fms.s1         sinh_FR_S_lo_temp3 =  sinh_FR_spos, sinh_FR_Tjlo,  sinh_FR_S_lo_temp1  
-         nop.i 999 ;;
+      nop.m           0
+      fma.s1          fA43 = fXsq, fA4, fA3
+      nop.i           0
 }
+;;
 
 { .mfi
-         nop.m 999
-(p0)    fma.s1         sinh_FR_S_lo       =  sinh_FR_S_lo_temp3, f1,   sinh_FR_S_lo_temp2     
-         nop.i 999 ;;
+      nop.m           0
+      fma.s1          fA21 = fXsq, fA2, fA1
+      nop.i           0
 }
-
-// Y_hi = S_hi 
-// Y_lo = C_hi*p_odd + (S_hi*p_even + S_lo)
-// sinh_FR_Y_lo_temp = sinh_FR_S_hi * sinh_FR_peven + sinh_FR_S_lo
-// sinh_FR_Y_lo      = sinh_FR_C_hi * sinh_FR_podd + sinh_FR_Y_lo_temp
+;;
 
 { .mfi
-         nop.m 999
-(p0)    fma.s1         sinh_FR_Y_lo_temp  = sinh_FR_S_hi, sinh_FR_peven, sinh_FR_S_lo           
-         nop.i 999 ;;
+      nop.m           0
+      fma.s1          fA6543 = fX4, fA65, fA43
+      nop.i           0
 }
+;;
 
 { .mfi
-         nop.m 999
-(p0)    fma.s1         sinh_FR_Y_lo       =  sinh_FR_C_hi, sinh_FR_podd, sinh_FR_Y_lo_temp      
-         nop.i 999 ;;
+      nop.m           0
+      fma.s1          fA654321 = fX4, fA6543, fA21
+      nop.i           0
 }
-
-// sinh_FR_SINH = Y_hi + Y_lo
-// f8 = answer = sinh_FR_SGNX * sinh_FR_SINH
+;;
 
 // Dummy multiply to generate inexact
 { .mfi
-         nop.m 999
-(p0)     fmpy.s0      sinh_FR_tmp = sinh_FR_all_ones, sinh_FR_all_ones
-         nop.i 999
+      nop.m           0
+      fmpy.s0         fTmp = fA6, fA6
+      nop.i           0
 }
-{ .mfi
-         nop.m 999
-(p0)    fma.s1         sinh_FR_SINH       =  sinh_FR_S_hi, f1, sinh_FR_Y_lo    
-         nop.i 999 ;;
+{ .mfb
+      nop.m           0
+      fma.d.s0        f8 = fA654321, fX3, fNormX
+      br.ret.sptk     b0                // Exit if 2^-60 < |x| < 0.25
 }
+;;
 
+SINH_VERY_SMALL:
+// Here if 0 < |x| < 2^-60
+// Compute result by x + sgn(x)*x^2 to get properly rounded result
+.pred.rel "mutex",p7,p8
+{ .mfi
+      nop.m           0
+(p7)  fnma.d.s0       f8 = fNormX, fNormX, fNormX // If x<0 result ~ x-x^2
+      nop.i           0
+}
 { .mfb
-         nop.m 999
-(p0)    fma.d.s0       f8 = sinh_FR_SGNX, sinh_FR_SINH,f0                      
-(p0)    br.ret.sptk     b0 ;;                          
+      nop.m           0
+(p8)  fma.d.s0        f8 = fNormX, fNormX, fNormX // If x>0 result ~ x+x^2
+      br.ret.sptk     b0                          // Exit if |x| < 2^-60
 }
+;;
 
 
-L(SINH_BY_EXP): 
+SINH_POSSIBLE_OVERFLOW:
 
-// When p7 is true,  we know that an overflow is not going to happen
-// When p7 is false, we must check for possible overflow
-// p7 is the over_SAFE flag
-// Y_hi = Tjhi
-// Y_lo = Tjhi * (p_odd + p_even) +Tjlo
-// Scale = sign * 2^(N-1)
-// sinh_FR_Y_lo =  sinh_FR_Tjhi * (sinh_FR_peven + sinh_FR_podd)
-// sinh_FR_Y_lo =  sinh_FR_Tjhi * (sinh_FR_Y_lo_temp      )
+// Here if fMAX_DBL_NORM_ARG < |x| < fMIN_DBL_OFLOW_ARG
+// This cannot happen if input is a double, only if input higher precision.
+// Overflow is a possibility, not a certainty.
 
-{ .mfi
-         nop.m 999
-(p0)   fma.s1            sinh_FR_Y_lo_temp =  sinh_FR_peven, f1, sinh_FR_podd                   
-         nop.i 999
-}
-
-// Now we are in EXP. This is the only path where an overflow is possible
-// but not for certain. So this is the only path where over_SAFE has any use.
-// r34 still has N-1
-// There is a danger of double-extended overflow   if N-1 > 16382 = 0x3ffe
-// There is a danger of double overflow            if N-1 > 0x3fe = 1022
-{ .mlx
-         nop.m 999
-(p0)   movl                r32          = 0x00000000000003fe ;;                       
-}
+// Recompute result using status field 2 with user's rounding mode,
+// and wre set.  If result is larger than largest double, then we have
+// overflow
 
 { .mfi
-(p0)   cmp.gt.unc          p0,p7        = r34, r32                                 
-(p0)   fmerge.s          sinh_FR_SCALE     = sinh_FR_SGNX, sinh_FR_spos                         
-         nop.i 999 ;;
-}
-
-{ .mfi
-         nop.m 999
-(p0)   fma.s1            sinh_FR_Y_lo      =  sinh_FR_Tjhi,  sinh_FR_Y_lo_temp, sinh_FR_Tjlo    
-         nop.i 999 ;;
+      mov             rGt_ln  = 0x103ff // Exponent for largest dbl + 1 ulp
+      fsetc.s2        0x7F,0x42         // Get user's round mode, set wre
+      nop.i           0
 }
+;;
 
-// f8 = answer = scale * (Y_hi + Y_lo)
 { .mfi
-         nop.m 999
-(p0)   fma.s1            sinh_FR_SINH_temp = sinh_FR_Y_lo,  f1, sinh_FR_Tjhi       
-         nop.i 999 ;;
+      setf.exp        fGt_pln = rGt_ln  // Create largest double + 1 ulp
+      fma.d.s2        fWre_urm_f8 = fS, fP, fS    // Result with wre set
+      nop.i           0
 }
+;;
 
 { .mfi
-         nop.m 999
-(p0)   fma.d.s0          f44          = sinh_FR_SCALE,  sinh_FR_SINH_temp, f0      
-         nop.i 999 ;;
+      nop.m           0
+      fsetc.s2        0x7F,0x40                   // Turn off wre in sf2
+      nop.i           0
 }
+;;
 
-// Dummy multiply to generate inexact
 { .mfi
-         nop.m 999
-(p7)     fmpy.s0      sinh_FR_tmp = sinh_FR_all_ones, sinh_FR_all_ones
-         nop.i 999 ;;
+      nop.m           0
+      fcmp.ge.s1      p6, p0 =  fWre_urm_f8, fGt_pln // Test for overflow
+      nop.i           0
 }
+;;
 
-// If over_SAFE is set, return
 { .mfb
-       nop.m 999
-(p7)   fmerge.s            f8 = f44,f44                                            
-(p7)   br.ret.sptk     b0 ;;                          
+      nop.m           0
+      nop.f           0
+(p6)  br.cond.spnt    SINH_CERTAIN_OVERFLOW // Branch if overflow
 }
+;;
 
-// Else see if we overflowed
-// S0 user supplied status
-// S2 user supplied status + WRE + TD  (Overflows)
-// If WRE is set then an overflow will not occur in EXP.
-// The input value that would cause a register (WRE) value to overflow is about 2^15
-// and this input would go into the HUGE path.
-// Answer with WRE is in f43.
-
-{ .mfi
-         nop.m 999
-(p0)   fsetc.s2            0x7F,0x42                                               
-         nop.i 999;;
+{ .mfb
+      nop.m           0
+      fma.d.s0        f8 = fS, fP, fS
+      br.ret.sptk     b0                     // Exit if really no overflow
 }
+;;
 
+SINH_CERTAIN_OVERFLOW:
 { .mfi
-         nop.m 999
-(p0)   fma.d.s2            f43  = sinh_FR_SCALE,  sinh_FR_SINH_temp, f0                      
-         nop.i 999 ;;
-}
-
-// 103FF => 103FF -FFFF = 400(true)
-// 400 + 3FF = 7FF, which is 1 more that the exponent of the largest
-// double (7FE). So 0 103FF 8000000000000000  is one ulp more than
-// largest double in register bias
-// Now  set p8 if the answer with WRE is greater than or equal this value
-// Also set p9 if the answer with WRE is less than or equal to negative this value
-
-{ .mlx
-         nop.m 999
-(p0)   movl                r32     = 0x000000000103FF ;;                              
+      sub             rTmp = rExp_mask, r0, 1
+      fcmp.lt.s1      p6, p7 = fNormX, f0    // Test for x < 0
+      nop.i           0
 }
+;;
 
 { .mmf
-         nop.m 999
-(p0)   setf.exp            f41 = r32                                               
-(p0)   fsetc.s2            0x7F,0x40 ;;                                               
-}
-
-{ .mfi
-         nop.m 999
-(p0)   fcmp.ge.unc.s1 p8, p0 =  f43, f41                                           
-         nop.i 999
+      alloc           r32=ar.pfs,1,4,4,0
+      setf.exp        fTmp = rTmp
+      fmerge.s        FR_X = f8,f8
 }
+;;
 
 { .mfi
-         nop.m 999
-(p0)   fmerge.ns           f42 = f41, f41                                          
-         nop.i 999 ;;
-}
-
-// The error tag for overflow is 127
-{ .mii
-         nop.m 999
-         nop.i 999 ;;
-(p8)   mov                 r47 = 127 ;;                                               
+      mov             GR_Parameter_TAG = 127
+(p6)  fnma.d.s0       FR_RESULT = fTmp, fTmp, f0    // Set I,O and -INF result
+      nop.i           0
 }
-
 { .mfb
-         nop.m 999
-(p0)   fcmp.le.unc.s1      p9, p0 =  f43, f42                                      
-(p8)   br.cond.spnt L(SINH_ERROR_SUPPORT) ;;
-}
-
-{ .mii
-         nop.m 999
-         nop.i 999 ;;
-(p9)   mov                 r47 = 127                                               
-}
-
-{ .mib
-         nop.m 999
-         nop.i 999
-(p9)   br.cond.spnt L(SINH_ERROR_SUPPORT) ;;
-}
-
-// Dummy multiply to generate inexact
-{ .mfi
-         nop.m 999
-(p0)     fmpy.s0      sinh_FR_tmp = sinh_FR_all_ones, sinh_FR_all_ones
-         nop.i 999 ;;
+      nop.m           0
+(p7)  fma.d.s0        FR_RESULT = fTmp, fTmp, f0    // Set I,O and +INF result
+      br.cond.sptk    __libm_error_region
 }
+;;
 
+// Here if x unorm
+SINH_UNORM:
 { .mfb
-         nop.m 999
-(p0)   fmerge.s            f8 = f44,f44                                            
-(p0)   br.ret.sptk     b0 ;;                          
-}
-
-L(SINH_HUGE): 
-
-// for SINH_HUGE, put 24000 in exponent; take sign from input; add 1
-// SAFE: SAFE is always 0 for HUGE
-
-{ .mlx
-         nop.m 999
-(p0)   movl                r32 = 0x0000000000015dbf ;;                                
-}
-
-{ .mfi
-(p0)   setf.exp            f9  = r32                                               
-         nop.f 999
-         nop.i 999 ;;
+      getf.exp        rSignexp_x = fNormX    // Must recompute if x unorm
+      fcmp.eq.s0      p6, p0 = f8, f0        // Set D flag
+      br.cond.sptk    SINH_COMMON
 }
+;;
 
-{ .mfi
-         nop.m 999
-(p0)   fma.s1              sinh_FR_signed_hi_lo = sinh_FR_SGNX, f9, f1                       
-         nop.i 999 ;;
-}
+GLOBAL_IEEE754_END(sinh)
 
-{ .mfi
-         nop.m 999
-(p0)   fma.d.s0            f44 = sinh_FR_signed_hi_lo,  f9, f0                          
-(p0)   mov                 r47 = 127                                               
-}
-.endp sinh
-ASM_SIZE_DIRECTIVE(sinh)
-#ifdef _LIBC
-ASM_SIZE_DIRECTIVE(__ieee754_sinh)
-#endif
-
-// Stack operations when calling error support.
-//       (1)               (2)                          (3) (call)              (4)
-//   sp   -> +          psp -> +                     psp -> +                   sp -> +
-//           |                 |                            |                         |
-//           |                 | <- GR_Y               R3 ->| <- GR_RESULT            | -> f8
-//           |                 |                            |                         |
-//           | <-GR_Y      Y2->|                       Y2 ->| <- GR_Y                 |
-//           |                 |                            |                         |
-//           |                 | <- GR_X               X1 ->|                         |
-//           |                 |                            |                         |
-//  sp-64 -> +          sp ->  +                     sp ->  +                         +
-//    save ar.pfs          save b0                                               restore gp
-//    save gp                                                                    restore ar.pfs
-
-.proc __libm_error_region
-__libm_error_region:
-L(SINH_ERROR_SUPPORT):
+LOCAL_LIBM_ENTRY(__libm_error_region)
 .prologue
-
-// (1)
 { .mfi
         add   GR_Parameter_Y=-32,sp             // Parameter 2 value
         nop.f 0
@@ -1271,39 +860,32 @@ L(SINH_ERROR_SUPPORT):
 }
 { .mfi
 .fframe 64
-        add sp=-64,sp                          // Create new stack
+        add sp=-64,sp                           // Create new stack
         nop.f 0
-        mov GR_SAVE_GP=gp                      // Save gp
+        mov GR_SAVE_GP=gp                       // Save gp
 };;
-
-
-// (2)
 { .mmi
-        stfd [GR_Parameter_Y] = f0,16         // STORE Parameter 2 on stack
-        add GR_Parameter_X = 16,sp            // Parameter 1 address
+        stfd [GR_Parameter_Y] = FR_Y,16         // STORE Parameter 2 on stack
+        add GR_Parameter_X = 16,sp              // Parameter 1 address
 .save   b0, GR_SAVE_B0
-        mov GR_SAVE_B0=b0                     // Save b0
+        mov GR_SAVE_B0=b0                       // Save b0
 };;
-
 .body
-// (3)
 { .mib
-        stfd [GR_Parameter_X] = f8                     // STORE Parameter 1 on stack
-        add   GR_Parameter_RESULT = 0,GR_Parameter_Y   // Parameter 3 address
-        nop.b 0                            
+        stfd [GR_Parameter_X] = FR_X            // STORE Parameter 1 on stack
+        add   GR_Parameter_RESULT = 0,GR_Parameter_Y  // Parameter 3 address
+        nop.b 0
 }
 { .mib
-        stfd [GR_Parameter_Y] = f44                    // STORE Parameter 3 on stack
+        stfd [GR_Parameter_Y] = FR_RESULT       // STORE Parameter 3 on stack
         add   GR_Parameter_Y = -16,GR_Parameter_Y
-        br.call.sptk b0=__libm_error_support#          // Call error handling function
+        br.call.sptk b0=__libm_error_support#   // Call error handling function
 };;
 { .mmi
-        nop.m 0
-        nop.m 0
         add   GR_Parameter_RESULT = 48,sp
+        nop.m 0
+        nop.i 0
 };;
-
-// (4)
 { .mmi
         ldfd  f8 = [GR_Parameter_RESULT]       // Get return result off stack
 .restore sp
@@ -1316,8 +898,6 @@ L(SINH_ERROR_SUPPORT):
         br.ret.sptk     b0                     // Return
 };;
 
-.endp __libm_error_region
-ASM_SIZE_DIRECTIVE(__libm_error_region)
-
+LOCAL_LIBM_END(__libm_error_region)
 .type   __libm_error_support#,@function
 .global __libm_error_support#
diff --git a/sysdeps/ia64/fpu/e_sinhf.S b/sysdeps/ia64/fpu/e_sinhf.S
index d5aa2dca16..4a407b7f3c 100644
--- a/sysdeps/ia64/fpu/e_sinhf.S
+++ b/sysdeps/ia64/fpu/e_sinhf.S
@@ -1,10 +1,10 @@
 .file "sinhf.s"
 
-// Copyright (C) 2000, 2001, Intel Corporation
+
+// Copyright (c) 2000 - 2002, Intel Corporation
 // All rights reserved.
-// 
-// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story,
-// and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
 //
 // Redistribution and use in source and binary forms, with or without
 // modification, are permitted provided that the following conditions are
@@ -20,1305 +20,727 @@
 // * The name of Intel Corporation may not be used to endorse or promote
 // products derived from this software without specific prior written
 // permission.
-//
-// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
-// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
-// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS 
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
 // CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
-// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, 
-// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 
-// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY 
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
 // OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
-// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 
-// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 
-// 
-// Intel Corporation is the author of this code, and requests that all
-// problem reports or change requests be submitted to it directly at 
-// http://developer.intel.com/opensource.
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
 //
+// Intel Corporation is the author of this code, and requests that all
+// problem reports or change requests be submitted to it directly at
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
+
 // History
-//==============================================================
-// 2/02/00  Initial version
-// 4/04/00  Unwind support added
-// 8/15/00  Bundle added after call to __libm_error_support to properly
+//*********************************************************************
+// 02/02/00 Initial version
+// 04/04/00 Unwind support added
+// 08/15/00 Bundle added after call to __libm_error_support to properly
 //          set [the previously overwritten] GR_Parameter_RESULT.
 // 10/12/00 Update to set denormal operand and underflow flags
-// 1/22/01  Fixed to set inexact flag for small args.
+// 01/22/01 Fixed to set inexact flag for small args.
+// 05/02/01 Reworked to improve speed of all paths
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 11/20/02 Improved algorithm based on expf
 //
 // API
-//==============================================================
-// float = sinhf(float)
-// input  floating point f8
-// output floating point f8
-//
-// Registers used
-//==============================================================
-// general registers: 
-// r32 -> r47
-// predicate registers used:
-// p6 p7 p8 p9
-// floating-point registers used:
-// f9 -> f15; f32 -> f45; 
-// f8 has input, then output
+//*********************************************************************
+// float sinhf(float)
 //
 // Overview of operation
-//==============================================================
-// There are four paths
-// 1. |x| < 0.25        SINH_BY_POLY
-// 2. |x| < 32          SINH_BY_TBL
-// 3. |x| < 2^14        SINH_BY_EXP
-// 4. |x_ >= 2^14       SINH_HUGE
-//
-// For double extended we get infinity for x >= 400c b174 ddc0 31ae c0ea
-//                                           >= 1.0110001.... x 2^13
-//                                           >= 11357.2166
+//*********************************************************************
+// Case 1:  0 < |x| < 2^-60
+//  Result = x, computed by x+sgn(x)*x^2) to handle flags and rounding
 //
-// But for double we get infinity for x >= 408633ce8fb9f87e
-//                                      >= 1.0110...x 2^9
-//                                      >= +7.10476e+002
+// Case 2:  2^-60 < |x| < 0.25
+//  Evaluate sinh(x) by a 9th order polynomial
+//  Care is take for the order of multiplication; and A2 is not exactly 1/5!,
+//  A3 is not exactly 1/7!, etc.
+//  sinh(x) = x + (A1*x^3 + A2*x^5 + A3*x^7 + A4*x^9)
 //
-// And for single we get infinity for x >= 42b3a496
-//                                      >= 1.0110... 2^6
-//                                      >= 89.8215
+// Case 3:  0.25 < |x| < 89.41598
+//  Algorithm is based on the identity sinh(x) = ( exp(x) - exp(-x) ) / 2.
+//  The algorithm for exp is described as below.  There are a number of
+//  economies from evaluating both exp(x) and exp(-x).  Although we
+//  are evaluating both quantities, only where the quantities diverge do we
+//  duplicate the computations.  The basic algorithm for exp(x) is described
+//  below.
 //
-// SAFE: If there is danger of overflow set SAFE to 0
-//       NOT implemented: if there is danger of underflow, set SAFE to 0
-// SAFE for all paths listed below
-//
-// 1. SINH_BY_POLY
-// ===============
-// If |x| is less than the tiny threshold, then clear SAFE 
-// For double, the tiny threshold is -1022 = -0x3fe => -3fe + ffff = fc01
-//             register-biased, this is fc01
-// For single, the tiny threshold is -126  = -7e    => -7e  + ffff = ff81
-// If |x| < tiny threshold, set SAFE = 0
-//
-// 2. SINH_BY_TBL
-// =============
-// SAFE: SAFE is always 1 for TBL; 
+// Take the input x. w is "how many log2/128 in x?"
+//  w = x * 64/log2
+//  NJ = int(w)
+//  x = NJ*log2/64 + R
+
+//  NJ = 64*n + j
+//  x = n*log2 + (log2/64)*j + R
 //
-// 3. SINH_BY_EXP
-// ==============
-// There is a danger of double-extended overflow   if N-1 > 16382 = 0x3ffe
-// r34 has N-1; 16382 is in register biased form, 0x13ffd
-// There is danger of double overflow if N-1 > 0x3fe
-//                       in register biased form, 0x103fd
-// Analagously, there is danger of single overflow if N-1 > 0x7e
-//                       in register biased form, 0x1007d
-// SAFE: If there is danger of overflow set SAFE to 0
+//  So, exp(x) = 2^n * 2^(j/64)* exp(R)
 //
-// 4. SINH_HUGE
-// ============
-// SAFE: SAFE is always 0 for HUGE
+//  T =  2^n * 2^(j/64)
+//       Construct 2^n
+//       Get 2^(j/64) table
+//           actually all the entries of 2^(j/64) table are stored in DP and
+//           with exponent bits set to 0 -> multiplication on 2^n can be
+//           performed by doing logical "or" operation with bits presenting 2^n
+
+//  exp(R) = 1 + (exp(R) - 1)
+//  P = exp(R) - 1 approximated by Taylor series of 3rd degree
+//      P = A3*R^3 + A2*R^2 + R, A3 = 1/6, A2 = 1/2
 //
 
-#include "libm_support.h"
-
-// Assembly macros
-//==============================================================
-sinh_FR_X            = f44
-sinh_FR_X2           = f9
-sinh_FR_X4           = f10
-sinh_FR_SGNX         = f40
-sinh_FR_all_ones     = f45
-sinh_FR_tmp          = f42
-
-sinh_FR_Inv_log2by64 = f9
-sinh_FR_log2by64_lo  = f11
-sinh_FR_log2by64_hi  = f10
-
-sinh_FR_A1           = f9
-sinh_FR_A2           = f10
-sinh_FR_A3           = f11
-
-sinh_FR_Rcub         = f12
-sinh_FR_M_temp       = f13
-sinh_FR_R_temp       = f13
-sinh_FR_Rsq          = f13
-sinh_FR_R            = f14
-
-sinh_FR_M            = f38
-
-sinh_FR_B1           = f15
-sinh_FR_B2           = f32
-sinh_FR_B3           = f33
+//  The final result is reconstructed as follows
+//  exp(x) = T + T*P
 
-sinh_FR_peven_temp1  = f34
-sinh_FR_peven_temp2  = f35
-sinh_FR_peven        = f36
+// Special values
+//*********************************************************************
+// sinhf(+0)    = +0
+// sinhf(-0)    = -0
 
-sinh_FR_podd_temp1   = f34
-sinh_FR_podd_temp2   = f35
-sinh_FR_podd         = f37
+// sinhf(+qnan) = +qnan
+// sinhf(-qnan) = -qnan
+// sinhf(+snan) = +qnan
+// sinhf(-snan) = -qnan
 
-sinh_FR_poly_podd_temp1    =  f11 
-sinh_FR_poly_podd_temp2    =  f13
-sinh_FR_poly_peven_temp1   =  f11
-sinh_FR_poly_peven_temp2   =  f13
+// sinhf(-inf)  = -inf
+// sinhf(+inf)  = +inf
 
-sinh_FR_J_temp       = f9
-sinh_FR_J            = f10
-
-sinh_FR_Mmj          = f39
-
-sinh_FR_N_temp1      = f11
-sinh_FR_N_temp2      = f12
-sinh_FR_N            = f13
-
-sinh_FR_spos         = f14
-sinh_FR_sneg         = f15
-
-sinh_FR_Tjhi         = f32
-sinh_FR_Tjlo         = f33
-sinh_FR_Tmjhi        = f34
-sinh_FR_Tmjlo        = f35
-
-sinh_GR_mJ           = r35
-sinh_GR_J            = r36
-
-sinh_AD_mJ           = r38
-sinh_AD_J            = r39
-sinh_GR_all_ones     = r40
-
-sinh_FR_S_hi         = f9
-sinh_FR_S_hi_temp    = f10
-sinh_FR_S_lo_temp1   = f11 
-sinh_FR_S_lo_temp2   = f12 
-sinh_FR_S_lo_temp3   = f13 
-
-sinh_FR_S_lo         = f38
-sinh_FR_C_hi         = f39
-
-sinh_FR_C_hi_temp1   = f10
-sinh_FR_Y_hi         = f11 
-sinh_FR_Y_lo_temp    = f12 
-sinh_FR_Y_lo         = f13 
-sinh_FR_SINH         = f9
-
-sinh_FR_P1           = f14
-sinh_FR_P2           = f15
-sinh_FR_P3           = f32
-sinh_FR_P4           = f33
-sinh_FR_P5           = f34
-sinh_FR_P6           = f35
-
-sinh_FR_TINY_THRESH  = f9
-
-sinh_FR_SINH_temp    = f10
-sinh_FR_SCALE        = f11 
-
-sinh_FR_signed_hi_lo = f10
-
-
-GR_SAVE_PFS          = r41
-GR_SAVE_B0           = r42
-GR_SAVE_GP           = r43
+// Overflow and Underflow
+//*********************************************************************
+// sinhf(x) = largest single normal when
+//     x = 89.41598 = 0x42b2d4fc
+//
+// Underflow is handled as described in case 1 above
 
-GR_Parameter_X       = r44
-GR_Parameter_Y       = r45
-GR_Parameter_RESULT  = r46
+// Registers used
+//*********************************************************************
+// Floating Point registers used:
+// f8 input, output
+// f6,f7, f9 -> f15,  f32 -> f45
 
-// Data tables
-//==============================================================
+// General registers used:
+// r2, r3, r16 -> r38
 
-#ifdef _LIBC
-.rodata
-#else
-.data
-#endif
+// Predicate registers used:
+// p6 -> p15
 
+// Assembly macros
+//*********************************************************************
+// integer registers used
+// scratch
+rNJ                   = r2
+rNJ_neg               = r3
+
+rJ_neg                = r16
+rN_neg                = r17
+rSignexp_x            = r18
+rExp_x                = r18
+rExp_mask             = r19
+rExp_bias             = r20
+rAd1                  = r21
+rAd2                  = r22
+rJ                    = r23
+rN                    = r24
+rTblAddr              = r25
+rA3                   = r26
+rExpHalf              = r27
+rLn2Div64             = r28
+rGt_ln                = r29
+r17ones_m1            = r29
+rRightShifter         = r30
+rJ_mask               = r30
+r64DivLn2             = r31
+rN_mask               = r31
+// stacked
+GR_SAVE_PFS           = r32
+GR_SAVE_B0            = r33
+GR_SAVE_GP            = r34
+GR_Parameter_X        = r35
+GR_Parameter_Y        = r36
+GR_Parameter_RESULT   = r37
+GR_Parameter_TAG      = r38
+
+// floating point registers used
+FR_X                  = f10
+FR_Y                  = f1
+FR_RESULT             = f8
+// scratch
+fRightShifter         = f6
+f64DivLn2             = f7
+fNormX                = f9
+fNint                 = f10
+fN                    = f11
+fR                    = f12
+fLn2Div64             = f13
+fA2                   = f14
+fA3                   = f15
+// stacked
+fP                    = f32
+fT                    = f33
+fMIN_SGL_OFLOW_ARG    = f34
+fMAX_SGL_NORM_ARG     = f35
+fRSqr                 = f36
+fA1                   = f37
+fA21                  = f37
+fA4                   = f38
+fA43                  = f38
+fA4321                = f38
+fX4                   = f39
+fTmp                  = f39
+fGt_pln               = f39
+fWre_urm_f8           = f40
+fXsq                  = f40
+fP_neg                = f41
+fX3                   = f41
+fT_neg                = f42
+fExp                  = f43
+fExp_neg              = f44
+fAbsX                 = f45
+
+
+RODATA
 .align 16
-double_sinh_arg_reduction:
-ASM_TYPE_DIRECTIVE(double_sinh_arg_reduction,@object)
-   data8 0xB8AA3B295C17F0BC, 0x00004005
-   data8 0xB17217F7D1000000, 0x00003FF8
-   data8 0xCF79ABC9E3B39804, 0x00003FD0
-ASM_SIZE_DIRECTIVE(double_sinh_arg_reduction)
-
-double_sinh_p_table:
-ASM_TYPE_DIRECTIVE(double_sinh_p_table,@object)
-   data8 0xAAAAAAAAAAAAAAAB, 0x00003FFC
-   data8 0x8888888888888412, 0x00003FF8
-   data8 0xD00D00D00D4D39F2, 0x00003FF2
-   data8 0xB8EF1D28926D8891, 0x00003FEC
-   data8 0xD732377688025BE9, 0x00003FE5
-   data8 0xB08AF9AE78C1239F, 0x00003FDE
-ASM_SIZE_DIRECTIVE(double_sinh_p_table)
-
-double_sinh_ab_table:
-ASM_TYPE_DIRECTIVE(double_sinh_ab_table,@object)
-   data8 0xAAAAAAAAAAAAAAAC, 0x00003FFC
-   data8 0x88888888884ECDD5, 0x00003FF8
-   data8 0xD00D0C6DCC26A86B, 0x00003FF2
-   data8 0x8000000000000002, 0x00003FFE
-   data8 0xAAAAAAAAAA402C77, 0x00003FFA
-   data8 0xB60B6CC96BDB144D, 0x00003FF5
-ASM_SIZE_DIRECTIVE(double_sinh_ab_table)
-
-double_sinh_j_table:
-ASM_TYPE_DIRECTIVE(double_sinh_j_table,@object)
-   data8 0xB504F333F9DE6484, 0x00003FFE, 0x1EB2FB13, 0x00000000
-   data8 0xB6FD91E328D17791, 0x00003FFE, 0x1CE2CBE2, 0x00000000
-   data8 0xB8FBAF4762FB9EE9, 0x00003FFE, 0x1DDC3CBC, 0x00000000
-   data8 0xBAFF5AB2133E45FB, 0x00003FFE, 0x1EE9AA34, 0x00000000
-   data8 0xBD08A39F580C36BF, 0x00003FFE, 0x9EAEFDC1, 0x00000000
-   data8 0xBF1799B67A731083, 0x00003FFE, 0x9DBF517B, 0x00000000
-   data8 0xC12C4CCA66709456, 0x00003FFE, 0x1EF88AFB, 0x00000000
-   data8 0xC346CCDA24976407, 0x00003FFE, 0x1E03B216, 0x00000000
-   data8 0xC5672A115506DADD, 0x00003FFE, 0x1E78AB43, 0x00000000
-   data8 0xC78D74C8ABB9B15D, 0x00003FFE, 0x9E7B1747, 0x00000000
-   data8 0xC9B9BD866E2F27A3, 0x00003FFE, 0x9EFE3C0E, 0x00000000
-   data8 0xCBEC14FEF2727C5D, 0x00003FFE, 0x9D36F837, 0x00000000
-   data8 0xCE248C151F8480E4, 0x00003FFE, 0x9DEE53E4, 0x00000000
-   data8 0xD06333DAEF2B2595, 0x00003FFE, 0x9E24AE8E, 0x00000000
-   data8 0xD2A81D91F12AE45A, 0x00003FFE, 0x1D912473, 0x00000000
-   data8 0xD4F35AABCFEDFA1F, 0x00003FFE, 0x1EB243BE, 0x00000000
-   data8 0xD744FCCAD69D6AF4, 0x00003FFE, 0x1E669A2F, 0x00000000
-   data8 0xD99D15C278AFD7B6, 0x00003FFE, 0x9BBC610A, 0x00000000
-   data8 0xDBFBB797DAF23755, 0x00003FFE, 0x1E761035, 0x00000000
-   data8 0xDE60F4825E0E9124, 0x00003FFE, 0x9E0BE175, 0x00000000
-   data8 0xE0CCDEEC2A94E111, 0x00003FFE, 0x1CCB12A1, 0x00000000
-   data8 0xE33F8972BE8A5A51, 0x00003FFE, 0x1D1BFE90, 0x00000000
-   data8 0xE5B906E77C8348A8, 0x00003FFE, 0x1DF2F47A, 0x00000000
-   data8 0xE8396A503C4BDC68, 0x00003FFE, 0x1EF22F22, 0x00000000
-   data8 0xEAC0C6E7DD24392F, 0x00003FFE, 0x9E3F4A29, 0x00000000
-   data8 0xED4F301ED9942B84, 0x00003FFE, 0x1EC01A5B, 0x00000000
-   data8 0xEFE4B99BDCDAF5CB, 0x00003FFE, 0x1E8CAC3A, 0x00000000
-   data8 0xF281773C59FFB13A, 0x00003FFE, 0x9DBB3FAB, 0x00000000
-   data8 0xF5257D152486CC2C, 0x00003FFE, 0x1EF73A19, 0x00000000
-   data8 0xF7D0DF730AD13BB9, 0x00003FFE, 0x9BB795B5, 0x00000000
-   data8 0xFA83B2DB722A033A, 0x00003FFE, 0x1EF84B76, 0x00000000
-   data8 0xFD3E0C0CF486C175, 0x00003FFE, 0x9EF5818B, 0x00000000
-   data8 0x8000000000000000, 0x00003FFF, 0x00000000, 0x00000000
-   data8 0x8164D1F3BC030773, 0x00003FFF, 0x1F77CACA, 0x00000000
-   data8 0x82CD8698AC2BA1D7, 0x00003FFF, 0x1EF8A91D, 0x00000000
-   data8 0x843A28C3ACDE4046, 0x00003FFF, 0x1E57C976, 0x00000000
-   data8 0x85AAC367CC487B15, 0x00003FFF, 0x9EE8DA92, 0x00000000
-   data8 0x871F61969E8D1010, 0x00003FFF, 0x1EE85C9F, 0x00000000
-   data8 0x88980E8092DA8527, 0x00003FFF, 0x1F3BF1AF, 0x00000000
-   data8 0x8A14D575496EFD9A, 0x00003FFF, 0x1D80CA1E, 0x00000000
-   data8 0x8B95C1E3EA8BD6E7, 0x00003FFF, 0x9D0373AF, 0x00000000
-   data8 0x8D1ADF5B7E5BA9E6, 0x00003FFF, 0x9F167097, 0x00000000
-   data8 0x8EA4398B45CD53C0, 0x00003FFF, 0x1EB70051, 0x00000000
-   data8 0x9031DC431466B1DC, 0x00003FFF, 0x1F6EB029, 0x00000000
-   data8 0x91C3D373AB11C336, 0x00003FFF, 0x1DFD6D8E, 0x00000000
-   data8 0x935A2B2F13E6E92C, 0x00003FFF, 0x9EB319B0, 0x00000000
-   data8 0x94F4EFA8FEF70961, 0x00003FFF, 0x1EBA2BEB, 0x00000000
-   data8 0x96942D3720185A00, 0x00003FFF, 0x1F11D537, 0x00000000
-   data8 0x9837F0518DB8A96F, 0x00003FFF, 0x1F0D5A46, 0x00000000
-   data8 0x99E0459320B7FA65, 0x00003FFF, 0x9E5E7BCA, 0x00000000
-   data8 0x9B8D39B9D54E5539, 0x00003FFF, 0x9F3AAFD1, 0x00000000
-   data8 0x9D3ED9A72CFFB751, 0x00003FFF, 0x9E86DACC, 0x00000000
-   data8 0x9EF5326091A111AE, 0x00003FFF, 0x9F3EDDC2, 0x00000000
-   data8 0xA0B0510FB9714FC2, 0x00003FFF, 0x1E496E3D, 0x00000000
-   data8 0xA27043030C496819, 0x00003FFF, 0x9F490BF6, 0x00000000
-   data8 0xA43515AE09E6809E, 0x00003FFF, 0x1DD1DB48, 0x00000000
-   data8 0xA5FED6A9B15138EA, 0x00003FFF, 0x1E65EBFB, 0x00000000
-   data8 0xA7CD93B4E965356A, 0x00003FFF, 0x9F427496, 0x00000000
-   data8 0xA9A15AB4EA7C0EF8, 0x00003FFF, 0x1F283C4A, 0x00000000
-   data8 0xAB7A39B5A93ED337, 0x00003FFF, 0x1F4B0047, 0x00000000
-   data8 0xAD583EEA42A14AC6, 0x00003FFF, 0x1F130152, 0x00000000
-   data8 0xAF3B78AD690A4375, 0x00003FFF, 0x9E8367C0, 0x00000000
-   data8 0xB123F581D2AC2590, 0x00003FFF, 0x9F705F90, 0x00000000
-   data8 0xB311C412A9112489, 0x00003FFF, 0x1EFB3C53, 0x00000000
-   data8 0xB504F333F9DE6484, 0x00003FFF, 0x1F32FB13, 0x00000000
-ASM_SIZE_DIRECTIVE(double_sinh_j_table)
-
-.align 32
-.global sinhf#
-
-.section .text
-.proc  sinhf#
-.align 32
-
-sinhf: 
-#ifdef _LIBC
-.global __ieee754_sinhf
-.type __ieee754_sinhf,@function
-__ieee754_sinhf:
-#endif
-
-// X infinity or NAN?
-// Take invalid fault if enabled
 
-
-{ .mfi
-      alloc r32 = ar.pfs,0,12,4,0                  
-(p0)     fclass.m.unc  p6,p0 = f8, 0xe3	//@qnan | @snan | @inf 
-         mov sinh_GR_all_ones = -1
-}
-;;
+LOCAL_OBJECT_START(_sinhf_table)
+data4 0x42b2d4fd         // Smallest single arg to overflow single result
+data4 0x42b2d4fc         // Largest single arg to give normal single result
+data4 0x00000000         // pad
+data4 0x00000000         // pad
+//
+// 2^(j/64) table, j goes from 0 to 63
+data8 0x0000000000000000 // 2^(0/64)
+data8 0x00002C9A3E778061 // 2^(1/64)
+data8 0x000059B0D3158574 // 2^(2/64)
+data8 0x0000874518759BC8 // 2^(3/64)
+data8 0x0000B5586CF9890F // 2^(4/64)
+data8 0x0000E3EC32D3D1A2 // 2^(5/64)
+data8 0x00011301D0125B51 // 2^(6/64)
+data8 0x0001429AAEA92DE0 // 2^(7/64)
+data8 0x000172B83C7D517B // 2^(8/64)
+data8 0x0001A35BEB6FCB75 // 2^(9/64)
+data8 0x0001D4873168B9AA // 2^(10/64)
+data8 0x0002063B88628CD6 // 2^(11/64)
+data8 0x0002387A6E756238 // 2^(12/64)
+data8 0x00026B4565E27CDD // 2^(13/64)
+data8 0x00029E9DF51FDEE1 // 2^(14/64)
+data8 0x0002D285A6E4030B // 2^(15/64)
+data8 0x000306FE0A31B715 // 2^(16/64)
+data8 0x00033C08B26416FF // 2^(17/64)
+data8 0x000371A7373AA9CB // 2^(18/64)
+data8 0x0003A7DB34E59FF7 // 2^(19/64)
+data8 0x0003DEA64C123422 // 2^(20/64)
+data8 0x0004160A21F72E2A // 2^(21/64)
+data8 0x00044E086061892D // 2^(22/64)
+data8 0x000486A2B5C13CD0 // 2^(23/64)
+data8 0x0004BFDAD5362A27 // 2^(24/64)
+data8 0x0004F9B2769D2CA7 // 2^(25/64)
+data8 0x0005342B569D4F82 // 2^(26/64)
+data8 0x00056F4736B527DA // 2^(27/64)
+data8 0x0005AB07DD485429 // 2^(28/64)
+data8 0x0005E76F15AD2148 // 2^(29/64)
+data8 0x0006247EB03A5585 // 2^(30/64)
+data8 0x0006623882552225 // 2^(31/64)
+data8 0x0006A09E667F3BCD // 2^(32/64)
+data8 0x0006DFB23C651A2F // 2^(33/64)
+data8 0x00071F75E8EC5F74 // 2^(34/64)
+data8 0x00075FEB564267C9 // 2^(35/64)
+data8 0x0007A11473EB0187 // 2^(36/64)
+data8 0x0007E2F336CF4E62 // 2^(37/64)
+data8 0x00082589994CCE13 // 2^(38/64)
+data8 0x000868D99B4492ED // 2^(39/64)
+data8 0x0008ACE5422AA0DB // 2^(40/64)
+data8 0x0008F1AE99157736 // 2^(41/64)
+data8 0x00093737B0CDC5E5 // 2^(42/64)
+data8 0x00097D829FDE4E50 // 2^(43/64)
+data8 0x0009C49182A3F090 // 2^(44/64)
+data8 0x000A0C667B5DE565 // 2^(45/64)
+data8 0x000A5503B23E255D // 2^(46/64)
+data8 0x000A9E6B5579FDBF // 2^(47/64)
+data8 0x000AE89F995AD3AD // 2^(48/64)
+data8 0x000B33A2B84F15FB // 2^(49/64)
+data8 0x000B7F76F2FB5E47 // 2^(50/64)
+data8 0x000BCC1E904BC1D2 // 2^(51/64)
+data8 0x000C199BDD85529C // 2^(52/64)
+data8 0x000C67F12E57D14B // 2^(53/64)
+data8 0x000CB720DCEF9069 // 2^(54/64)
+data8 0x000D072D4A07897C // 2^(55/64)
+data8 0x000D5818DCFBA487 // 2^(56/64)
+data8 0x000DA9E603DB3285 // 2^(57/64)
+data8 0x000DFC97337B9B5F // 2^(58/64)
+data8 0x000E502EE78B3FF6 // 2^(59/64)
+data8 0x000EA4AFA2A490DA // 2^(60/64)
+data8 0x000EFA1BEE615A27 // 2^(61/64)
+data8 0x000F50765B6E4540 // 2^(62/64)
+data8 0x000FA7C1819E90D8 // 2^(63/64)
+LOCAL_OBJECT_END(_sinhf_table)
+
+LOCAL_OBJECT_START(sinh_p_table)
+data8 0x3ec749d84bc96d7d // A4
+data8 0x3f2a0168d09557cf // A3
+data8 0x3f811111326ed15a // A2
+data8 0x3fc55555552ed1e2 // A1
+LOCAL_OBJECT_END(sinh_p_table)
 
 
-{ .mfb
-         nop.m 999
-(p6)     fma.s.s0   f8 = f8,f1,f8               
-(p6)     br.ret.spnt     b0 ;;                          
-}
+.section .text
+GLOBAL_IEEE754_ENTRY(sinhf)
 
-// Put 0.25 in f9; p6 true if x < 0.25
-// Make constant that will generate inexact when squared
 { .mlx
-         setf.sig sinh_FR_all_ones = sinh_GR_all_ones 
-(p0)     movl            r32 = 0x000000000000fffd ;;         
-}
-
-{ .mfi
-(p0)     setf.exp        f9 = r32                         
-(p0)     fclass.m.unc  p7,p0 = f8, 0x07	//@zero
-         nop.i 999 ;;
-}
-
-{ .mfb
-         nop.m 999
-(p0)     fmerge.s      sinh_FR_X    = f0,f8             
-(p7)     br.ret.spnt     b0 ;;                          
+      getf.exp        rSignexp_x = f8  // Must recompute if x unorm
+      movl            r64DivLn2 = 0x40571547652B82FE // 64/ln(2)
 }
-
-// Identify denormal operands.
-{ .mfi
-         nop.m 999
-         fclass.m.unc  p10,p0 = f8, 0x09        //  + denorm
-         nop.i 999
-};;
-{ .mfi
-         nop.m 999
-         fclass.m.unc  p11,p0 = f8, 0x0a        //  - denorm
-         nop.i 999 
-}
-
-{ .mfi
-         nop.m 999
-(p0)     fmerge.s      sinh_FR_SGNX = f8,f1             
-         nop.i 999 ;;
-}
-
-{ .mfi
-         nop.m 999
-(p0)     fcmp.lt.unc.s1  p0,p7 = sinh_FR_X,f9             
-         nop.i 999 ;;
-}
-
-{ .mib
-         nop.m 999
-         nop.i 999
-(p7)     br.cond.sptk    L(SINH_BY_TBL) ;;                      
-}
-
-
-L(SINH_BY_POLY): 
-
-// POLY cannot overflow so there is no need to call __libm_error_support
-// Set tiny_SAFE (p7) to 1(0) if answer is not tiny 
-// Currently we do not use tiny_SAFE. So the setting of tiny_SAFE is
-// commented out.
-//(p0)     movl            r32            = 0x000000000000fc01           
-//(p0)     setf.exp        f10            = r32                         
-//(p0)     fcmp.lt.unc.s1  p6,p7          = f8,f10                     
-// Here is essentially the algorithm for SINH_BY_POLY. Care is take for the order 
-// of multiplication; and P_1 is not exactly 1/3!, P_2 is not exactly 1/5!, etc.
-// Note that ax = |x|
-// sinh(x) = sign * (series(e^x) - series(e^-x))/2
-//         = sign * (ax + ax^3/3! + ax^5/5! + ax^7/7! + ax^9/9! + ax^11/11! + ax^13/13!)
-//         = sign * (ax   + ax * ( ax^2 * (1/3! + ax^4 * (1/7! + ax^4*1/11!)) )
-//                        + ax * ( ax^4 * (1/5! + ax^4 * (1/9! + ax^4*1/13!)) ) )
-//         = sign * (ax   + ax*p_odd + (ax*p_even))
-//         = sign * (ax   + Y_lo)
-// sinh(x) = sign * (Y_hi + Y_lo)
-// Get the values of P_x from the table
-{ .mfb
-(p0)  addl           r34   = @ltoff(double_sinh_p_table), gp
-(p10) fma.s.s0       f8 =  f8,f8,f8
-(p10) br.ret.spnt    b0
-}
-;;
-
-{ .mfb
-      ld8 r34 = [r34]
-(p11) fnma.s.s0      f8 =  f8,f8,f8
-(p11) br.ret.spnt    b0
+{ .mlx
+      addl            rTblAddr = @ltoff(_sinhf_table),gp
+      movl            rRightShifter = 0x43E8000000000000 // DP Right Shifter
 }
 ;;
 
-// Calculate sinh_FR_X2 = ax*ax and sinh_FR_X4 = ax*ax*ax*ax
-{ .mmf
-         nop.m 999
-(p0)     ldfe            sinh_FR_P1 = [r34],16                 
-(p0)     fma.s1        sinh_FR_X2 = sinh_FR_X, sinh_FR_X, f0 ;;           
-}
-
-{ .mmi
-(p0)     ldfe            sinh_FR_P2 = [r34],16 ;;                 
-(p0)     ldfe            sinh_FR_P3 = [r34],16                 
-         nop.i 999 ;;
-}
-
-{ .mmi
-(p0)     ldfe            sinh_FR_P4 = [r34],16 ;;                 
-(p0)     ldfe            sinh_FR_P5 = [r34],16                 
-         nop.i 999 ;;
-}
-
-{ .mfi
-(p0)     ldfe            sinh_FR_P6 = [r34],16                 
-(p0)     fma.s1        sinh_FR_X4 = sinh_FR_X2, sinh_FR_X2, f0         
-         nop.i 999 ;;
-}
-
-// Calculate sinh_FR_podd = p_odd and sinh_FR_peven = p_even 
 { .mfi
-         nop.m 999
-(p0)     fma.s1      sinh_FR_poly_podd_temp1 = sinh_FR_X4, sinh_FR_P5, sinh_FR_P3                
-         nop.i 999 ;;
+      // point to the beginning of the table
+      ld8             rTblAddr = [rTblAddr]
+      fclass.m        p6, p0 = f8, 0x0b   // Test for x=unorm
+      addl            rA3 = 0x3E2AA, r0   // high bits of 1.0/6.0 rounded to SP
 }
-
 { .mfi
-         nop.m 999
-(p0)     fma.s1      sinh_FR_poly_podd_temp2 = sinh_FR_X4, sinh_FR_poly_podd_temp1, sinh_FR_P1   
-         nop.i 999
+      nop.m           0
+      fnorm.s1        fNormX = f8 // normalized x
+      addl            rExpHalf = 0xFFFE, r0 // exponent of 1/2
 }
+;;
 
 { .mfi
-         nop.m 999
-(p0)     fma.s1      sinh_FR_poly_peven_temp1 = sinh_FR_X4, sinh_FR_P6, sinh_FR_P4               
-         nop.i 999 ;;
+      setf.d          f64DivLn2 = r64DivLn2 // load 64/ln(2) to FP reg
+      fclass.m        p15, p0 = f8, 0x1e3   // test for NaT,NaN,Inf
+      nop.i           0
 }
-
-{ .mfi
-         nop.m 999
-(p0)     fma.s1      sinh_FR_podd       = sinh_FR_X2, sinh_FR_poly_podd_temp2, f0           
-         nop.i 999
+{ .mlx
+      // load Right Shifter to FP reg
+      setf.d          fRightShifter = rRightShifter
+      movl            rLn2Div64 = 0x3F862E42FEFA39EF // DP ln(2)/64 in GR
 }
+;;
 
 { .mfi
-         nop.m 999
-(p0)     fma.s1      sinh_FR_poly_peven_temp2 = sinh_FR_X4, sinh_FR_poly_peven_temp1, sinh_FR_P2 
-         nop.i 999 ;;
+      mov             rExp_mask = 0x1ffff
+      fcmp.eq.s1      p13, p0 = f0, f8 // test for x = 0.0
+      shl             rA3 = rA3, 12    // 0x3E2AA000, approx to 1.0/6.0 in SP
 }
-
-{ .mfi
-         nop.m 999
-(p0)     fma.s1      sinh_FR_peven       = sinh_FR_X4, sinh_FR_poly_peven_temp2, f0         
-         nop.i 999 ;;
+{ .mfb
+      nop.m           0
+      nop.f           0
+(p6)  br.cond.spnt    SINH_UNORM            // Branch if x=unorm
 }
+;;
 
-// Calculate sinh_FR_Y_lo = ax*p_odd + (ax*p_even)
+SINH_COMMON:
 { .mfi
-         nop.m 999
-(p0)     fma.s1      sinh_FR_Y_lo_temp    = sinh_FR_X, sinh_FR_peven, f0                    
-         nop.i 999 ;;
+      setf.exp        fA2 = rExpHalf        // load A2 to FP reg
+      nop.f           0
+      mov             rExp_bias = 0xffff
 }
-
-{ .mfi
-         nop.m 999
-(p0)     fma.s1      sinh_FR_Y_lo         = sinh_FR_X, sinh_FR_podd,  sinh_FR_Y_lo_temp          
-         nop.i 999 ;;
+{ .mfb
+      setf.d          fLn2Div64 = rLn2Div64 // load ln(2)/64 to FP reg
+(p15) fma.s.s0        f8 = f8, f1, f0       // result if x = NaT,NaN,Inf
+(p15) br.ret.spnt     b0                    // exit here if x = NaT,NaN,Inf
 }
+;;
 
-// Calculate sinh_FR_SINH = Y_hi + Y_lo. Note that ax = Y_hi
 { .mfi
-         nop.m 999
-(p0)     fma.s1      sinh_FR_SINH        = sinh_FR_X, f1, sinh_FR_Y_lo                      
-         nop.i 999 ;;
+      // min overflow and max normal threshold
+      ldfps           fMIN_SGL_OFLOW_ARG, fMAX_SGL_NORM_ARG = [rTblAddr], 8
+      nop.f           0
+      and             rExp_x = rExp_mask, rSignexp_x // Biased exponent of x
 }
-// Dummy multiply to generate inexact
-{ .mfi
-         nop.m 999
-(p0)     fmpy.s0      sinh_FR_tmp = sinh_FR_all_ones, sinh_FR_all_ones
-         nop.i 999
-}
-
-// Calculate f8 = sign * (Y_hi + Y_lo)
-// Go to return
 { .mfb
-         nop.m 999
-(p0)     fma.s.s0        f8 = sinh_FR_SGNX,sinh_FR_SINH,f0                       
-(p0)     br.ret.sptk     b0 ;;                          
-}
-
-
-L(SINH_BY_TBL): 
-
-// Now that we are at TBL; so far all we know is that |x| >= 0.25.
-// The first two steps are the same for TBL and EXP, but if we are HUGE
-// we want to leave now. 
-// Double-extended:
-// Go to HUGE if |x| >= 2^14, 1000d (register-biased) is e = 14 (true)
-// Double
-// Go to HUGE if |x| >= 2^10, 10009 (register-biased) is e = 10 (true)
-// Single
-// Go to HUGE if |x| >= 2^7,  10006 (register-biased) is e =  7 (true)
-
-{ .mlx
-         nop.m 999
-(p0)     movl            r32 = 0x0000000000010006 ;;         
+      setf.s          fA3 = rA3                  // load A3 to FP reg
+      nop.f           0
+(p13) br.ret.spnt     b0                         // exit here if x=0.0, return x
 }
+;;
 
 { .mfi
-(p0)     setf.exp        f9 = r32                         
-         nop.f 999
-         nop.i 999 ;;
+      sub             rExp_x = rExp_x, rExp_bias // True exponent of x
+      fmerge.s        fAbsX = f0, fNormX         // Form |x|
+      nop.i           0
 }
+;;
 
 { .mfi
-         nop.m 999
-(p0)     fcmp.ge.unc.s1  p6,p7 = sinh_FR_X,f9             
-         nop.i 999 ;;
-}
-
-{ .mib
-         nop.m 999
-         nop.i 999
-(p6)     br.cond.spnt    L(SINH_HUGE) ;;                        
-}
-
-// r32 = 1
-// r34 = N-1 
-// r35 = N
-// r36 = j
-// r37 = N+1
-
-// TBL can never overflow
-// sinh(x) = sinh(B+R)
-//         = sinh(B)cosh(R) + cosh(B)sinh(R)
-// 
-// ax = |x| = M*log2/64 + R
-// B = M*log2/64
-// M = 64*N + j 
-//   We will calcualte M and get N as (M-j)/64
-//   The division is a shift.
-// exp(B)  = exp(N*log2 + j*log2/64)
-//         = 2^N * 2^(j*log2/64)
-// sinh(B) = 1/2(e^B -e^-B)
-//         = 1/2(2^N * 2^(j*log2/64) - 2^-N * 2^(-j*log2/64)) 
-// sinh(B) = (2^(N-1) * 2^(j*log2/64) - 2^(-N-1) * 2^(-j*log2/64)) 
-// cosh(B) = (2^(N-1) * 2^(j*log2/64) + 2^(-N-1) * 2^(-j*log2/64)) 
-// 2^(j*log2/64) is stored as Tjhi + Tjlo , j= -32,....,32
-// Tjhi is double-extended (80-bit) and Tjlo is single(32-bit)
-// R = ax - M*log2/64
-// R = ax - M*log2_by_64_hi - M*log2_by_64_lo
-// exp(R) = 1 + R +R^2(1/2! + R(1/3! + R(1/4! + ... + R(1/n!)...)
-//        = 1 + p_odd + p_even
-//        where the p_even uses the A coefficients and the p_even uses the B coefficients
-// So sinh(R) = 1 + p_odd + p_even -(1 -p_odd -p_even)/2 = p_odd
-//    cosh(R) = 1 + p_even
-//    sinh(B) = S_hi + S_lo
-//    cosh(B) = C_hi
-// sinh(x) = sinh(B)cosh(R) + cosh(B)sinh(R)
-// ******************************************************
-// STEP 1 (TBL and EXP)
-// ******************************************************
-// Get the following constants. 
-// f9  = Inv_log2by64
-// f10 = log2by64_hi
-// f11 = log2by64_lo
-
-{ .mmi
-(p0)  adds                 r32 = 0x1,r0      
-(p0)  addl           r34   = @ltoff(double_sinh_arg_reduction), gp
-      nop.i 999
+      nop.m           0
+      // x*(64/ln(2)) + Right Shifter
+      fma.s1          fNint = fNormX, f64DivLn2, fRightShifter
+      add             rTblAddr = 8, rTblAddr
 }
-;;
-
-{ .mmi
-      ld8 r34 = [r34]
-      nop.m 999
-      nop.i 999
+{ .mfb
+      cmp.gt          p7, p0 = -2, rExp_x        // Test |x| < 2^(-2)
+      fma.s1          fXsq = fNormX, fNormX, f0  // x*x for small path
+(p7)  br.cond.spnt    SINH_SMALL                 // Branch if 0 < |x| < 2^-2
 }
 ;;
 
-
-// We want 2^(N-1) and 2^(-N-1). So bias N-1 and -N-1 and
-// put them in an exponent.
-// sinh_FR_spos = 2^(N-1) and sinh_FR_sneg = 2^(-N-1)
-// r39 = 0xffff + (N-1)  = 0xffff +N -1
-// r40 = 0xffff - (N +1) = 0xffff -N -1
-
-{ .mlx
-         nop.m 999
-(p0)     movl                r38 = 0x000000000000fffe ;; 
-}
-
-{ .mmi
-(p0)     ldfe            sinh_FR_Inv_log2by64 = [r34],16 ;;       
-(p0)     ldfe            sinh_FR_log2by64_hi  = [r34],16       
-         nop.i 999 ;;
-}
-
-{ .mbb
-(p0)     ldfe            sinh_FR_log2by64_lo  = [r34],16       
-         nop.b 999
-         nop.b 999 ;;
-}
-
-// Get the A coefficients
-// f9  = A_1
-// f10 = A_2
-// f11 = A_3
-
-{ .mmi
-      nop.m 999
-(p0)  addl           r34   = @ltoff(double_sinh_ab_table), gp
-      nop.i 999
+{ .mfi
+      nop.m           0
+      // check for overflow
+      fcmp.ge.s1      p12, p13 = fAbsX, fMIN_SGL_OFLOW_ARG
+      mov             rJ_mask = 0x3f             // 6-bit mask for J
 }
 ;;
 
-{ .mmi
-      ld8 r34 = [r34]
-      nop.m 999
-      nop.i 999
+{ .mfb
+      nop.m           0
+      fms.s1          fN = fNint, f1, fRightShifter // n in FP register
+      // branch out if overflow
+(p12) br.cond.spnt    SINH_CERTAIN_OVERFLOW
 }
 ;;
 
-
-// Calculate M and keep it as integer and floating point.
-// f38 = M = round-to-integer(x*Inv_log2by64)
-// sinh_FR_M = M = truncate(ax/(log2/64))
-// Put the significand of M in r35
-//    and the floating point representation of M in sinh_FR_M
-
 { .mfi
-         nop.m 999
-(p0)     fma.s1          sinh_FR_M      = sinh_FR_X, sinh_FR_Inv_log2by64, f0 
-         nop.i 999
+      getf.sig        rNJ = fNint                   // bits of n, j
+      // check for possible overflow
+      fcmp.gt.s1      p13, p0 = fAbsX, fMAX_SGL_NORM_ARG
+      nop.i           0
 }
+;;
 
 { .mfi
-(p0)     ldfe            sinh_FR_A1 = [r34],16            
-         nop.f 999
-         nop.i 999 ;;
+      addl            rN = 0xFFBF - 63, rNJ      // biased and shifted n-1,j
+      fnma.s1         fR = fLn2Div64, fN, fNormX // R = x - N*ln(2)/64
+      and             rJ = rJ_mask, rNJ          // bits of j
 }
-
 { .mfi
-         nop.m 999
-(p0)     fcvt.fx.s1      sinh_FR_M_temp = sinh_FR_M                      
-         nop.i 999 ;;
+      sub             rNJ_neg = r0, rNJ          // bits of n, j for -x
+      nop.f           0
+      andcm           rN_mask = -1, rJ_mask      // 0xff...fc0 to mask N
 }
+;;
 
 { .mfi
-         nop.m 999
-(p0)     fnorm.s1        sinh_FR_M      = sinh_FR_M_temp                 
-         nop.i 999 ;;
+      shladd          rJ = rJ, 3, rTblAddr // address in the 2^(j/64) table
+      nop.f           0
+      and             rN = rN_mask, rN     // biased, shifted n-1
 }
-
 { .mfi
-(p0)     getf.sig        r35       = sinh_FR_M_temp                 
-         nop.f 999
-         nop.i 999 ;;
+      addl            rN_neg = 0xFFBF - 63, rNJ_neg // -x biased, shifted n-1,j
+      nop.f           0
+      and             rJ_neg = rJ_mask, rNJ_neg     // bits of j for -x
 }
-
-// M is still in r35. Calculate j. j is the signed extension of the six lsb of M. It 
-// has a range of -32 thru 31.
-// r35 = M
-// r36 = j 
-
-{ .mii
-         nop.m 999
-         nop.i 999 ;;
-(p0)     and            r36 = 0x3f, r35 ;;   
-}
-
-// Calculate R
-// f13 = f44 - f12*f10 = ax - M*log2by64_hi
-// f14 = f13 - f8*f11  = R = (ax - M*log2by64_hi) - M*log2by64_lo
+;;
 
 { .mfi
-         nop.m 999
-(p0)     fnma.s1           sinh_FR_R_temp = sinh_FR_M, sinh_FR_log2by64_hi, sinh_FR_X      
-         nop.i 999
+      ld8             rJ = [rJ]                    // Table value
+      nop.f           0
+      shl             rN = rN, 46 // 2^(n-1) bits in DP format
 }
-
 { .mfi
-(p0)     ldfe            sinh_FR_A2 = [r34],16            
-         nop.f 999
-         nop.i 999 ;;
+      shladd          rJ_neg = rJ_neg, 3, rTblAddr // addr in 2^(j/64) table -x
+      nop.f           0
+      and             rN_neg = rN_mask, rN_neg     // biased, shifted n-1 for -x
 }
+;;
 
 { .mfi
-         nop.m 999
-(p0)     fnma.s1           sinh_FR_R      = sinh_FR_M, sinh_FR_log2by64_lo, sinh_FR_R_temp 
-         nop.i 999
+      ld8             rJ_neg = [rJ_neg]            // Table value for -x
+      nop.f           0
+      shl             rN_neg = rN_neg, 46 // 2^(n-1) bits in DP format for -x
 }
-
-// Get the B coefficients
-// f15 = B_1
-// f32 = B_2
-// f33 = B_3
-
-{ .mmi
-(p0)     ldfe            sinh_FR_A3 = [r34],16 ;;            
-(p0)     ldfe            sinh_FR_B1 = [r34],16            
-         nop.i 999 ;;
-}
-
-{ .mmi
-(p0)     ldfe            sinh_FR_B2 = [r34],16 ;;            
-(p0)     ldfe            sinh_FR_B3 = [r34],16            
-         nop.i 999 ;;
-}
-
-{ .mii
-         nop.m 999
-(p0)     shl            r34 = r36,  0x2 ;;   
-(p0)     sxt1           r37 = r34 ;;         
-}
-
-// ******************************************************
-// STEP 2 (TBL and EXP)
-// ******************************************************
-// Calculate Rsquared and Rcubed in preparation for p_even and p_odd
-// f12 = R*R*R
-// f13 = R*R
-// f14 = R <== from above
+;;
 
 { .mfi
-         nop.m 999
-(p0)     fma.s1             sinh_FR_Rsq  = sinh_FR_R,   sinh_FR_R, f0  
-(p0)     shr            r36 = r37,  0x2 ;;   
-}
-
-// r34 = M-j = r35 - r36
-// r35 = N = (M-j)/64
-
-{ .mii
-(p0)     sub                  r34 = r35, r36    
-         nop.i 999 ;;
-(p0)     shr                  r35 = r34, 0x6 ;;    
-}
-
-{ .mii
-(p0)     sub                 r40 = r38, r35           
-(p0)     adds                 r37 = 0x1, r35    
-(p0)     add                 r39 = r38, r35 ;;           
-}
-
-// Get the address of the J table, add the offset, 
-// addresses are sinh_AD_mJ and sinh_AD_J, get the T value
-// f32 = T(j)_hi
-// f33 = T(j)_lo
-// f34 = T(-j)_hi
-// f35 = T(-j)_lo
-
-{ .mmi
-(p0)  sub                  r34 = r35, r32    
-(p0)  addl           r37   = @ltoff(double_sinh_j_table), gp
-      nop.i 999
+      or              rN = rN, rJ // bits of 2^n * 2^(j/64) in DP format
+      nop.f           0
+      nop.i           0
 }
 ;;
 
-{ .mmi
-      ld8 r37 = [r37]
-      nop.m 999
-      nop.i 999
+{ .mmf
+      setf.d          fT = rN            // 2^(n-1) * 2^(j/64)
+      or              rN_neg = rN_neg, rJ_neg // -x bits of 2^n * 2^(j/64) in DP
+      fma.s1          fRSqr = fR, fR, f0 // R^2
 }
 ;;
 
-
-{ .mfi
-         nop.m 999
-(p0)     fma.s1             sinh_FR_Rcub = sinh_FR_Rsq, sinh_FR_R, f0  
-         nop.i 999
-}
-
-// ******************************************************
-// STEP 3 Now decide if we need to branch to EXP
-// ******************************************************
-// Put 32 in f9; p6 true if x < 32
-// Go to EXP if |x| >= 32 
-
-{ .mlx
-         nop.m 999
-(p0)     movl                r32 = 0x0000000000010004 ;;               
-}
-
-// Calculate p_even
-// f34 = B_2 + Rsq *B_3
-// f35 = B_1 + Rsq*f34      = B_1 + Rsq * (B_2 + Rsq *B_3)
-// f36 = p_even = Rsq * f35 = Rsq * (B_1 + Rsq * (B_2 + Rsq *B_3))
-
-{ .mfi
-         nop.m 999
-(p0)     fma.s1          sinh_FR_peven_temp1 = sinh_FR_Rsq, sinh_FR_B3,          sinh_FR_B2  
-         nop.i 999 ;;
-}
-
-{ .mfi
-         nop.m 999
-(p0)     fma.s1          sinh_FR_peven_temp2 = sinh_FR_Rsq, sinh_FR_peven_temp1, sinh_FR_B1  
-         nop.i 999
-}
-
-// Calculate p_odd
-// f34 = A_2 + Rsq *A_3
-// f35 = A_1 + Rsq * (A_2 + Rsq *A_3)
-// f37 = podd = R + Rcub * (A_1 + Rsq * (A_2 + Rsq *A_3))
-
-{ .mfi
-         nop.m 999
-(p0)     fma.s1          sinh_FR_podd_temp1 = sinh_FR_Rsq,        sinh_FR_A3,         sinh_FR_A2  
-         nop.i 999 ;;
-}
-
 { .mfi
-(p0)     setf.exp            sinh_FR_N_temp1 = r39            
-         nop.f 999
-         nop.i 999 ;;
+      setf.d          fT_neg = rN_neg    // 2^(n-1) * 2^(j/64) for -x
+      fma.s1          fP = fA3, fR, fA2  // A3*R + A2
+      nop.i           0
 }
-
-{ .mfi
-         nop.m 999
-(p0)     fma.s1          sinh_FR_peven       = sinh_FR_Rsq, sinh_FR_peven_temp2, f0     
-         nop.i 999
-}
-
 { .mfi
-         nop.m 999
-(p0)     fma.s1          sinh_FR_podd_temp2 = sinh_FR_Rsq,        sinh_FR_podd_temp1, sinh_FR_A1  
-         nop.i 999 ;;
+      nop.m           0
+      fnma.s1         fP_neg = fA3, fR, fA2  // A3*R + A2 for -x
+      nop.i           0
 }
+;;
 
 { .mfi
-(p0)     setf.exp            f9  = r32                              
-         nop.f 999
-         nop.i 999 ;;
+      nop.m           0
+      fma.s1          fP = fP, fRSqr, fR // P = (A3*R + A2)*R^2 + R
+      nop.i           0
 }
-
 { .mfi
-         nop.m 999
-(p0)     fma.s1          sinh_FR_podd       = sinh_FR_podd_temp2, sinh_FR_Rcub,       sinh_FR_R   
-         nop.i 999
-}
-
-// sinh_GR_mj contains the table offset for -j
-// sinh_GR_j  contains the table offset for +j
-// p6 is true when j <= 0
-
-{ .mlx
-(p0)     setf.exp            sinh_FR_N_temp2 = r40            
-(p0)     movl                r40 = 0x0000000000000020 ;;    
+      nop.m           0
+      fms.s1          fP_neg = fP_neg, fRSqr, fR // P = (A3*R + A2)*R^2 + R, -x
+      nop.i           0
 }
+;;
 
 { .mfi
-(p0)     sub                 sinh_GR_mJ = r40,  r36           
-(p0)     fmerge.se           sinh_FR_spos    = sinh_FR_N_temp1, f1 
-(p0)     adds                sinh_GR_J  = 0x20, r36 ;;           
-}
-
-{ .mii
-         nop.m 999
-(p0)     shl                  sinh_GR_mJ = sinh_GR_mJ, 5 ;;   
-(p0)     add                  sinh_AD_mJ = r37, sinh_GR_mJ ;; 
-}
-
-{ .mmi
-         nop.m 999
-(p0)     ldfe                 sinh_FR_Tmjhi = [sinh_AD_mJ],16                 
-(p0)     shl                  sinh_GR_J  = sinh_GR_J, 5 ;;    
+      nop.m           0
+      fmpy.s0         fTmp = fLn2Div64, fLn2Div64       // Force inexact
+      nop.i           0
 }
+;;
 
 { .mfi
-(p0)     ldfs                 sinh_FR_Tmjlo = [sinh_AD_mJ],16                 
-(p0)     fcmp.lt.unc.s1      p0,p7 = sinh_FR_X,f9                          
-(p0)     add                  sinh_AD_J  = r37, sinh_GR_J ;;  
+      nop.m           0
+      fma.s1          fExp = fP, fT, fT                 // exp(x)/2
+      nop.i           0
 }
-
-{ .mmi
-(p0)     ldfe                 sinh_FR_Tjhi  = [sinh_AD_J],16 ;;                  
-(p0)     ldfs                 sinh_FR_Tjlo  = [sinh_AD_J],16                  
-         nop.i 999 ;;
+{ .mfb
+      nop.m           0
+      fma.s1          fExp_neg = fP_neg, fT_neg, fT_neg // exp(-x)/2
+      // branch out if possible overflow result
+(p13) br.cond.spnt    SINH_POSSIBLE_OVERFLOW
 }
+;;
 
 { .mfb
-         nop.m 999
-(p0)     fmerge.se           sinh_FR_sneg    = sinh_FR_N_temp2, f1 
-(p7)     br.cond.spnt        L(SINH_BY_EXP) ;;                            
+      nop.m           0
+      // final result in the absence of overflow
+      fms.s.s0        f8 = fExp, f1, fExp_neg  // result = (exp(x)-exp(-x))/2
+      // exit here in the absence of overflow
+      br.ret.sptk     b0              // Exit main path, 0.25 <= |x| < 89.41598
 }
+;;
 
+// Here if 0 < |x| < 0.25.  Evaluate 9th order polynomial.
+SINH_SMALL:
 { .mfi
-         nop.m 999
-         nop.f 999
-         nop.i 999 ;;
+      add             rAd1 = 0x200, rTblAddr
+      fcmp.lt.s1      p7, p8 = fNormX, f0       // Test sign of x
+      cmp.gt          p6, p0 = -60, rExp_x      // Test |x| < 2^(-60)
 }
-
-// ******************************************************
-// If NOT branch to EXP
-// ******************************************************
-// Calculate S_hi and S_lo
-// sinh_FR_S_hi_temp = sinh_FR_sneg * sinh_FR_Tmjhi
-// sinh_FR_S_hi = sinh_FR_spos * sinh_FR_Tjhi - sinh_FR_S_hi_temp
-// sinh_FR_S_hi = sinh_FR_spos * sinh_FR_Tjhi - (sinh_FR_sneg * sinh_FR_Tmjlo)
-
 { .mfi
-         nop.m 999
-(p0)    fma.s1         sinh_FR_S_hi_temp = sinh_FR_sneg, sinh_FR_Tmjhi, f0   
-         nop.i 999 ;;
+      add             rAd2 = 0x210, rTblAddr
+      nop.f           0
+      nop.i           0
 }
+;;
 
-{ .mfi
-         nop.m 999
-(p0)    fms.s1         sinh_FR_S_hi = sinh_FR_spos, sinh_FR_Tjhi,  sinh_FR_S_hi_temp              
-         nop.i 999
+{ .mmb
+      ldfpd           fA4, fA3 = [rAd1]
+      ldfpd           fA2, fA1 = [rAd2]
+(p6)  br.cond.spnt    SINH_VERY_SMALL           // Branch if |x| < 2^(-60)
 }
-
-// Calculate C_hi
-// sinh_FR_C_hi_temp1 = sinh_FR_sneg * sinh_FR_Tmjhi
-// sinh_FR_C_hi = sinh_FR_spos * sinh_FR_Tjhi + sinh_FR_C_hi_temp1
-
-{ .mfi
-         nop.m 999
-(p0)    fma.s1         sinh_FR_C_hi_temp1 = sinh_FR_sneg, sinh_FR_Tmjhi, f0                   
-         nop.i 999 ;;
-}
-
-// sinh_FR_S_lo_temp1 =  sinh_FR_spos * sinh_FR_Tjhi - sinh_FR_S_hi
-// sinh_FR_S_lo_temp2 = -sinh_FR_sneg * sinh_FR_Tmjlo + (sinh_FR_spos * sinh_FR_Tjhi - sinh_FR_S_hi)
-// sinh_FR_S_lo_temp2 = -sinh_FR_sneg * sinh_FR_Tmjlo + (sinh_FR_S_lo_temp1              )
+;;
 
 { .mfi
-         nop.m 999
-(p0)    fms.s1         sinh_FR_S_lo_temp1 =  sinh_FR_spos, sinh_FR_Tjhi,  sinh_FR_S_hi            
-         nop.i 999
+      nop.m           0
+      fma.s1          fX3 = fXsq, fNormX, f0
+      nop.i           0
 }
-
 { .mfi
-         nop.m 999
-(p0)    fma.s1         sinh_FR_C_hi       = sinh_FR_spos, sinh_FR_Tjhi, sinh_FR_C_hi_temp1    
-         nop.i 999 ;;
+      nop.m           0
+      fma.s1          fX4 = fXsq, fXsq, f0
+      nop.i           0
 }
+;;
 
 { .mfi
-         nop.m 999
-(p0)    fnma.s1        sinh_FR_S_lo_temp2 = sinh_FR_sneg, sinh_FR_Tmjhi, sinh_FR_S_lo_temp1       
-         nop.i 999
+      nop.m           0
+      fma.s1          fA43 = fXsq, fA4, fA3
+      nop.i           0
 }
-
-// sinh_FR_S_lo_temp1 = sinh_FR_sneg * sinh_FR_Tmjlo
-// sinh_FR_S_lo_temp3 = sinh_FR_spos * sinh_FR_Tjlo - sinh_FR_S_lo_temp1
-// sinh_FR_S_lo_temp3 = sinh_FR_spos * sinh_FR_Tjlo -(sinh_FR_sneg * sinh_FR_Tmjlo)
-// sinh_FR_S_lo = sinh_FR_S_lo_temp3 + sinh_FR_S_lo_temp2
-
 { .mfi
-         nop.m 999
-(p0)    fma.s1         sinh_FR_S_lo_temp1 =  sinh_FR_sneg, sinh_FR_Tmjlo, f0                  
-         nop.i 999 ;;
-}
-
-/////////// BUG FIX fma to fms -TK
-{ .mfi
-         nop.m 999
-(p0)    fms.s1         sinh_FR_S_lo_temp3 =  sinh_FR_spos, sinh_FR_Tjlo,  sinh_FR_S_lo_temp1  
-         nop.i 999 ;;
+      nop.m           0
+      fma.s1          fA21 = fXsq, fA2, fA1
+      nop.i           0
 }
+;;
 
 { .mfi
-         nop.m 999
-(p0)    fma.s1         sinh_FR_S_lo       =  sinh_FR_S_lo_temp3, f1,   sinh_FR_S_lo_temp2     
-         nop.i 999 ;;
+      nop.m           0
+      fma.s1          fA4321 = fX4, fA43, fA21
+      nop.i           0
 }
+;;
 
-// Y_hi = S_hi 
-// Y_lo = C_hi*p_odd + (S_hi*p_even + S_lo)
-// sinh_FR_Y_lo_temp = sinh_FR_S_hi * sinh_FR_peven + sinh_FR_S_lo
-// sinh_FR_Y_lo      = sinh_FR_C_hi * sinh_FR_podd + sinh_FR_Y_lo_temp
-
+// Dummy multiply to generate inexact
 { .mfi
-         nop.m 999
-(p0)    fma.s1         sinh_FR_Y_lo_temp  = sinh_FR_S_hi, sinh_FR_peven, sinh_FR_S_lo           
-         nop.i 999 ;;
+      nop.m           0
+      fmpy.s0         fTmp = fA4, fA4
+      nop.i           0
 }
-
-{ .mfi
-         nop.m 999
-(p0)    fma.s1         sinh_FR_Y_lo       =  sinh_FR_C_hi, sinh_FR_podd, sinh_FR_Y_lo_temp      
-         nop.i 999 ;;
+{ .mfb
+      nop.m           0
+      fma.s.s0        f8 = fA4321, fX3, fNormX
+      br.ret.sptk     b0                // Exit if 2^-60 < |x| < 0.25
 }
+;;
 
-// sinh_FR_SINH = Y_hi + Y_lo
-// f8 = answer = sinh_FR_SGNX * sinh_FR_SINH
-
-// Dummy multiply to generate inexact
-{ .mfi
-         nop.m 999
-(p0)     fmpy.s0      sinh_FR_tmp = sinh_FR_all_ones, sinh_FR_all_ones
-         nop.i 999
-}
+SINH_VERY_SMALL:
+// Here if 0 < |x| < 2^-60
+// Compute result by x + sgn(x)*x^2 to get properly rounded result
+.pred.rel "mutex",p7,p8
 { .mfi
-         nop.m 999
-(p0)    fma.s1         sinh_FR_SINH       =  sinh_FR_S_hi, f1, sinh_FR_Y_lo    
-         nop.i 999 ;;
+      nop.m           0
+(p7)  fnma.s.s0       f8 = fNormX, fNormX, fNormX // If x<0 result ~ x-x^2
+      nop.i           0
 }
-
 { .mfb
-         nop.m 999
-(p0)    fma.s.s0       f8 = sinh_FR_SGNX, sinh_FR_SINH,f0                      
-(p0)    br.ret.sptk     b0 ;;                          
+      nop.m           0
+(p8)  fma.s.s0        f8 = fNormX, fNormX, fNormX // If x>0 result ~ x+x^2
+      br.ret.sptk     b0                          // Exit if |x| < 2^-60
 }
+;;
 
+SINH_POSSIBLE_OVERFLOW:
 
-L(SINH_BY_EXP): 
+// Here if fMAX_SGL_NORM_ARG < x < fMIN_SGL_OFLOW_ARG
+// This cannot happen if input is a single, only if input higher precision.
+// Overflow is a possibility, not a certainty.
 
-// When p7 is true,  we know that an overflow is not going to happen
-// When p7 is false, we must check for possible overflow
-// p7 is the over_SAFE flag
-// Y_hi = Tjhi
-// Y_lo = Tjhi * (p_odd + p_even) +Tjlo
-// Scale = sign * 2^(N-1)
-// sinh_FR_Y_lo =  sinh_FR_Tjhi * (sinh_FR_peven + sinh_FR_podd)
-// sinh_FR_Y_lo =  sinh_FR_Tjhi * (sinh_FR_Y_lo_temp      )
+// Recompute result using status field 2 with user's rounding mode,
+// and wre set.  If result is larger than largest single, then we have
+// overflow
 
 { .mfi
-         nop.m 999
-(p0)   fma.s1            sinh_FR_Y_lo_temp =  sinh_FR_peven, f1, sinh_FR_podd                   
-         nop.i 999
-}
-
-// Now we are in EXP. This is the only path where an overflow is possible
-// but not for certain. So this is the only path where over_SAFE has any use.
-// r34 still has N-1
-// There is a danger of double-extended overflow   if N-1 > 16382 = 0x3ffe
-// There is a danger of double overflow            if N-1 > 0x3fe = 1022
-// There is a danger of single overflow            if N-1 > 0x7e = 126
-{ .mlx
-         nop.m 999
-(p0)   movl                r32          = 0x000000000000007e ;;                       
-}
-
-{ .mfi
-(p0)   cmp.gt.unc          p0,p7        = r34, r32                                 
-(p0)   fmerge.s          sinh_FR_SCALE     = sinh_FR_SGNX, sinh_FR_spos                         
-         nop.i 999 ;;
-}
-
-{ .mfi
-         nop.m 999
-(p0)   fma.s1            sinh_FR_Y_lo      =  sinh_FR_Tjhi,  sinh_FR_Y_lo_temp, sinh_FR_Tjlo    
-         nop.i 999 ;;
+      mov             rGt_ln  = 0x1007f // Exponent for largest single + 1 ulp
+      fsetc.s2        0x7F,0x42         // Get user's round mode, set wre
+      nop.i           0
 }
+;;
 
-// f8 = answer = scale * (Y_hi + Y_lo)
 { .mfi
-         nop.m 999
-(p0)   fma.s1            sinh_FR_SINH_temp = sinh_FR_Y_lo,  f1, sinh_FR_Tjhi       
-         nop.i 999 ;;
+      setf.exp        fGt_pln = rGt_ln  // Create largest single + 1 ulp
+      fma.s.s2        fWre_urm_f8 = fP, fT, fT    // Result with wre set
+      nop.i           0
 }
+;;
 
 { .mfi
-         nop.m 999
-(p0)   fma.s.s0          f44          = sinh_FR_SCALE,  sinh_FR_SINH_temp, f0      
-         nop.i 999 ;;
+      nop.m           0
+      fsetc.s2        0x7F,0x40                   // Turn off wre in sf2
+      nop.i           0
 }
+;;
 
-// Dummy multiply to generate inexact
 { .mfi
-         nop.m 999
-(p7)     fmpy.s0      sinh_FR_tmp = sinh_FR_all_ones, sinh_FR_all_ones
-         nop.i 999 ;;
+      nop.m           0
+      fcmp.ge.s1      p6, p0 =  fWre_urm_f8, fGt_pln // Test for overflow
+      nop.i           0
 }
+;;
 
-// If over_SAFE is set, return
 { .mfb
-       nop.m 999
-(p7)   fmerge.s            f8 = f44,f44                                            
-(p7)   br.ret.sptk     b0 ;;                          
+      nop.m           0
+      nop.f           0
+(p6)  br.cond.spnt    SINH_CERTAIN_OVERFLOW // Branch if overflow
 }
+;;
 
-// Else see if we overflowed
-// S0 user supplied status
-// S2 user supplied status + WRE + TD  (Overflows)
-// If WRE is set then an overflow will not occur in EXP.
-// The input value that would cause a register (WRE) value to overflow is about 2^15
-// and this input would go into the HUGE path.
-// Answer with WRE is in f43.
-
-{ .mfi
-         nop.m 999
-(p0)   fsetc.s2            0x7F,0x42                                               
-         nop.i 999;;
+{ .mfb
+      nop.m           0
+      fma.s.s0        f8 = fP, fT, fT
+      br.ret.sptk     b0                     // Exit if really no overflow
 }
+;;
 
+// here if overflow
+SINH_CERTAIN_OVERFLOW:
 { .mfi
-         nop.m 999
-(p0)   fma.s.s2            f43  = sinh_FR_SCALE,  sinh_FR_SINH_temp, f0                      
-         nop.i 999 ;;
-}
-
-// 1007F => 1007F -FFFF = 80(true)
-// 80 + 7F = FF, which is 1 more that the exponent of the largest
-// double (FE). So 0 1007F 8000000000000000  is one ulp more than
-// largest single in register bias
-// Now  set p8 if the answer with WRE is greater than or equal this value
-// Also set p9 if the answer with WRE is less than or equal to negative this value
-
-{ .mlx
-         nop.m 999
-(p0)   movl                r32     = 0x0000000001007F ;;                              
+      addl            r17ones_m1 = 0x1FFFE, r0
+      fcmp.lt.s1      p6, p7 = fNormX, f0     // Test for x < 0
+      nop.i           0
 }
+;;
 
 { .mmf
-         nop.m 999
-(p0)   setf.exp            f41 = r32                                               
-(p0)   fsetc.s2            0x7F,0x40 ;;                                               
-}
-
-{ .mfi
-         nop.m 999
-(p0)   fcmp.ge.unc.s1 p8, p0 =  f43, f41                                           
-         nop.i 999
+      alloc           r32 = ar.pfs, 0, 3, 4, 0 // get some registers
+      setf.exp        fTmp = r17ones_m1
+      fmerge.s        FR_X = f8,f8
 }
+;;
 
 { .mfi
-         nop.m 999
-(p0)   fmerge.ns           f42 = f41, f41                                          
-         nop.i 999 ;;
-}
-
-// The error tag for overflow is 128
-{ .mii
-         nop.m 999
-         nop.i 999 ;;
-(p8)   mov                 r47 = 128 ;;                                               
+      mov             GR_Parameter_TAG = 128
+(p6)  fnma.s.s0       FR_RESULT = fTmp, fTmp, f0 // Set I,O and -INF result
+      nop.i           0
 }
-
 { .mfb
-         nop.m 999
-(p0)   fcmp.le.unc.s1      p9, p0 =  f43, f42                                      
-(p8)   br.cond.spnt L(SINH_ERROR_SUPPORT) ;;
-}
-
-{ .mii
-         nop.m 999
-         nop.i 999 ;;
-(p9)   mov                 r47 = 128                                               
-}
-
-{ .mib
-         nop.m 999
-         nop.i 999
-(p9)   br.cond.spnt L(SINH_ERROR_SUPPORT) ;;
-}
-
-// Dummy multiply to generate inexact
-{ .mfi
-         nop.m 999
-(p0)     fmpy.s0      sinh_FR_tmp = sinh_FR_all_ones, sinh_FR_all_ones
-         nop.i 999 ;;
+      nop.m           0
+(p7)  fma.s.s0        FR_RESULT = fTmp, fTmp, f0 // Set I,O and +INF result
+      br.cond.sptk    __libm_error_region
 }
+;;
 
+// Here if x unorm
+SINH_UNORM:
 { .mfb
-         nop.m 999
-(p0)   fmerge.s            f8 = f44,f44                                            
-(p0)   br.ret.sptk     b0 ;;                          
-}
-
-L(SINH_HUGE): 
-
-// for SINH_HUGE, put 24000 in exponent; take sign from input; add 1
-// SAFE: SAFE is always 0 for HUGE
-
-{ .mlx
-         nop.m 999
-(p0)   movl                r32 = 0x0000000000015dbf ;;                                
-}
-
-{ .mfi
-(p0)   setf.exp            f9  = r32                                               
-         nop.f 999
-         nop.i 999 ;;
+      getf.exp        rSignexp_x = fNormX    // Must recompute if x unorm
+      fcmp.eq.s0      p6, p0 = f8, f0        // Set D flag
+      br.cond.sptk    SINH_COMMON            // Return to main path
 }
+;;
 
-{ .mfi
-         nop.m 999
-(p0)   fma.s1              sinh_FR_signed_hi_lo = sinh_FR_SGNX, f9, f1                       
-         nop.i 999 ;;
-}
+GLOBAL_IEEE754_END(sinhf)
 
-{ .mfi
-         nop.m 999
-(p0)   fma.s.s0            f44 = sinh_FR_signed_hi_lo,  f9, f0                          
-(p0)   mov                 r47 = 128                                               
-}
-.endp sinhf
-ASM_SIZE_DIRECTIVE(sinhf)
-#ifdef _LIBC
-ASM_SIZE_DIRECTIVE(__ieee754_sinhf)
-#endif
-
-// Stack operations when calling error support.
-//       (1)               (2)                          (3) (call)              (4)
-//   sp   -> +          psp -> +                     psp -> +                   sp -> +
-//           |                 |                            |                         |
-//           |                 | <- GR_Y               R3 ->| <- GR_RESULT            | -> f8
-//           |                 |                            |                         |
-//           | <-GR_Y      Y2->|                       Y2 ->| <- GR_Y                 |
-//           |                 |                            |                         |
-//           |                 | <- GR_X               X1 ->|                         |
-//           |                 |                            |                         |
-//  sp-64 -> +          sp ->  +                     sp ->  +                         +
-//    save ar.pfs          save b0                                               restore gp
-//    save gp                                                                    restore ar.pfs
-
-.proc __libm_error_region
-__libm_error_region:
-L(SINH_ERROR_SUPPORT):
+LOCAL_LIBM_ENTRY(__libm_error_region)
 .prologue
-
-// (1)
 { .mfi
-        add   GR_Parameter_Y=-32,sp             // Parameter 2 value
-        nop.f 0
+      add   GR_Parameter_Y=-32,sp             // Parameter 2 value
+      nop.f 0
 .save   ar.pfs,GR_SAVE_PFS
-        mov  GR_SAVE_PFS=ar.pfs                 // Save ar.pfs
+      mov  GR_SAVE_PFS=ar.pfs                 // Save ar.pfs
 }
 { .mfi
 .fframe 64
-        add sp=-64,sp                          // Create new stack
-        nop.f 0
-        mov GR_SAVE_GP=gp                      // Save gp
+      add sp=-64,sp                           // Create new stack
+      nop.f 0
+      mov GR_SAVE_GP=gp                       // Save gp
 };;
-
-
-// (2)
 { .mmi
-        stfs [GR_Parameter_Y] = f0,16         // STORE Parameter 2 on stack
-        add GR_Parameter_X = 16,sp            // Parameter 1 address
+      stfs [GR_Parameter_Y] = FR_Y,16         // Store Parameter 2 on stack
+      add GR_Parameter_X = 16,sp              // Parameter 1 address
 .save   b0, GR_SAVE_B0
-        mov GR_SAVE_B0=b0                     // Save b0
+      mov GR_SAVE_B0=b0                       // Save b0
 };;
-
 .body
-// (3)
-{ .mib
-        stfs [GR_Parameter_X] = f8                     // STORE Parameter 1 on stack
-        add   GR_Parameter_RESULT = 0,GR_Parameter_Y   // Parameter 3 address
-        nop.b 0                            
+{ .mfi
+      stfs [GR_Parameter_X] = FR_X            // Store Parameter 1 on stack
+      nop.f 0
+      add   GR_Parameter_RESULT = 0,GR_Parameter_Y // Parameter 3 address
 }
 { .mib
-        stfs [GR_Parameter_Y] = f44                    // STORE Parameter 3 on stack
-        add   GR_Parameter_Y = -16,GR_Parameter_Y
-        br.call.sptk b0=__libm_error_support#          // Call error handling function
+      stfs [GR_Parameter_Y] = FR_RESULT       // Store Parameter 3 on stack
+      add   GR_Parameter_Y = -16,GR_Parameter_Y
+      br.call.sptk b0=__libm_error_support#   // Call error handling function
 };;
+
 { .mmi
-        nop.m 0
-        nop.m 0
-        add   GR_Parameter_RESULT = 48,sp
+      add   GR_Parameter_RESULT = 48,sp
+      nop.m 0
+      nop.i 0
 };;
 
-// (4)
 { .mmi
-        ldfs  f8 = [GR_Parameter_RESULT]       // Get return result off stack
+      ldfs  f8 = [GR_Parameter_RESULT]       // Get return result off stack
 .restore sp
-        add   sp = 64,sp                       // Restore stack pointer
-        mov   b0 = GR_SAVE_B0                  // Restore return address
+      add   sp = 64,sp                       // Restore stack pointer
+      mov   b0 = GR_SAVE_B0                  // Restore return address
 };;
 { .mib
-        mov   gp = GR_SAVE_GP                  // Restore gp
-        mov   ar.pfs = GR_SAVE_PFS             // Restore ar.pfs
-        br.ret.sptk     b0                     // Return
+      mov   gp = GR_SAVE_GP                  // Restore gp
+      mov   ar.pfs = GR_SAVE_PFS             // Restore ar.pfs
+      br.ret.sptk     b0                     // Return
 };;
 
-.endp __libm_error_region
-ASM_SIZE_DIRECTIVE(__libm_error_region)
+LOCAL_LIBM_END(__libm_error_region)
+
 
 .type   __libm_error_support#,@function
 .global __libm_error_support#
diff --git a/sysdeps/ia64/fpu/e_sinhl.S b/sysdeps/ia64/fpu/e_sinhl.S
index b880b95b64..ccc996a8cc 100644
--- a/sysdeps/ia64/fpu/e_sinhl.S
+++ b/sysdeps/ia64/fpu/e_sinhl.S
@@ -1,10 +1,10 @@
 .file "sinhl.s"
 
-// Copyright (C) 2000, 2001, Intel Corporation
+
+// Copyright (c) 2000 - 2002, Intel Corporation
 // All rights reserved.
-// 
-// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story,
-// and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
 //
 // Redistribution and use in source and binary forms, with or without
 // modification, are permitted provided that the following conditions are
@@ -20,7 +20,7 @@
 // * The name of Intel Corporation may not be used to endorse or promote
 // products derived from this software without specific prior written
 // permission.
-//
+
 // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
 // "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
@@ -35,17 +35,20 @@
 // 
 // Intel Corporation is the author of this code, and requests that all
 // problem reports or change requests be submitted to it directly at 
-// http://developer.intel.com/opensource.
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
 //
 // History
 //==============================================================
-// 2/02/00  Initial version
-// 4/04/00  Unwind support added
-// 8/15/00  Bundle added after call to __libm_error_support to properly
+// 02/02/00 Initial version
+// 04/04/00 Unwind support added
+// 08/15/00 Bundle added after call to __libm_error_support to properly
 //          set [the previously overwritten] GR_Parameter_RESULT.
 // 10/12/00 Update to set denormal operand and underflow flags
-// 1/22/01  Fixed to set inexact flag for small args.  Fixed incorrect 
+// 01/22/01 Fixed to set inexact flag for small args.  Fixed incorrect 
 //          call to __libm_error_support for 710.476 < x < 11357.2166.
+// 05/02/01 Reworked to improve speed of all paths
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 12/04/02 Improved performance
 //
 // API
 //==============================================================
@@ -56,1269 +59,1058 @@
 // Registers used
 //==============================================================
 // general registers: 
-// r32 -> r47
+// r14 -> r40
 // predicate registers used:
-// p6 p7 p8 p9
+// p6 -> p11
 // floating-point registers used:
-// f9 -> f15; f32 -> f45; 
+// f9 -> f15; f32 -> f90; 
 // f8 has input, then output
 //
 // Overview of operation
 //==============================================================
-// There are four paths
-// 1. |x| < 0.25        SINH_BY_POLY
-// 2. |x| < 32          SINH_BY_TBL
-// 3. |x| < 2^14        SINH_BY_EXP
-// 4. |x_ >= 2^14       SINH_HUGE
-//
-// For double extended we get infinity for x >= 400c b174 ddc0 31ae c0ea
-//                                           >= 1.0110001.... x 2^13
-//                                           >= 11357.2166
+// There are seven paths
+// 1. 0 < |x| < 0.25          SINH_BY_POLY
+// 2. 0.25 <=|x| < 32         SINH_BY_TBL
+// 3. 32 <= |x| < 11357.21655 SINH_BY_EXP (merged path with SINH_BY_TBL)
+// 4. |x| >= 11357.21655      SINH_HUGE
+// 5. x=0                     Done with early exit
+// 6. x=inf,nan               Done with early exit
+// 7. x=denormal              SINH_DENORM
 //
-// But for double we get infinity for x >= 408633ce8fb9f87e
-//                                      >= 1.0110...x 2^9
-//                                      >= +7.10476e+002
+// For double extended we get overflow for x >= 400c b174 ddc0 31ae c0ea
+//                                           >= 11357.21655
 //
-// And for single we get infinity for x >= 42b3a496
-//                                      >= 1.0110... 2^6
-//                                      >= 89.8215
 //
-// SAFE: If there is danger of overflow set SAFE to 0
-//       NOT implemented: if there is danger of underflow, set SAFE to 0
-// SAFE for all paths listed below
-//
-// 1. SINH_BY_POLY
+// 1. SINH_BY_POLY   0 < |x| < 0.25
 // ===============
-// If |x| is less than the tiny threshold, then clear SAFE 
-// For double, the tiny threshold is -1022 = -0x3fe => -3fe + ffff = fc01
-//             register-biased, this is fc01
-// For single, the tiny threshold is -126  = -7e    => -7e  + ffff = ff81
-// If |x| < tiny threshold, set SAFE = 0
+// Evaluate sinh(x) by a 13th order polynomial
+// Care is take for the order of multiplication; and P_1 is not exactly 1/3!, 
+// P_2 is not exactly 1/5!, etc.
+// sinh(x) = sign * (series(e^x) - series(e^-x))/2
+//         = sign * (ax + ax^3/3! + ax^5/5! + ax^7/7! + ax^9/9! + ax^11/11!
+//                        + ax^13/13!)
+//         = sign * (ax   + ax * ( ax^2 * (1/3! + ax^4 * (1/7! + ax^4*1/11!)) )
+//                        + ax * ( ax^4 * (1/5! + ax^4 * (1/9! + ax^4*1/13!)) ))
+//         = sign * (ax   + ax*p_odd + (ax*p_even))
+//         = sign * (ax   + Y_lo)
+// sinh(x) = sign * (Y_hi + Y_lo)
+// Note that ax = |x|
 //
-// 2. SINH_BY_TBL
+// 2. SINH_BY_TBL   0.25 <= |x| < 32.0
 // =============
-// SAFE: SAFE is always 1 for TBL; 
+// sinh(x) = sinh(B+R)
+//         = sinh(B)cosh(R) + cosh(B)sinh(R)
+// 
+// ax = |x| = M*log2/64 + R
+// B = M*log2/64
+// M = 64*N + j 
+//   We will calculate M and get N as (M-j)/64
+//   The division is a shift.
+// exp(B)  = exp(N*log2 + j*log2/64)
+//         = 2^N * 2^(j*log2/64)
+// sinh(B) = 1/2(e^B -e^-B)
+//         = 1/2(2^N * 2^(j*log2/64) - 2^-N * 2^(-j*log2/64)) 
+// sinh(B) = (2^(N-1) * 2^(j*log2/64) - 2^(-N-1) * 2^(-j*log2/64)) 
+// cosh(B) = (2^(N-1) * 2^(j*log2/64) + 2^(-N-1) * 2^(-j*log2/64)) 
+// 2^(j*log2/64) is stored as Tjhi + Tjlo , j= -32,....,32
+// Tjhi is double-extended (80-bit) and Tjlo is single(32-bit)
+//
+// R = ax - M*log2/64
+// R = ax - M*log2_by_64_hi - M*log2_by_64_lo
+// exp(R) = 1 + R +R^2(1/2! + R(1/3! + R(1/4! + ... + R(1/n!)...)
+//        = 1 + p_odd + p_even
+//        where the p_even uses the A coefficients and the p_even uses 
+//        the B coefficients
+//
+// So sinh(R) = 1 + p_odd + p_even -(1 -p_odd -p_even)/2 = p_odd
+//    cosh(R) = 1 + p_even
+//    sinh(B) = S_hi + S_lo
+//    cosh(B) = C_hi
+// sinh(x) = sinh(B)cosh(R) + cosh(B)sinh(R)
 //
-// 3. SINH_BY_EXP
+// 3. SINH_BY_EXP   32.0 <= |x| < 11357.21655  ( 400c b174 ddc0 31ae c0ea )
 // ==============
-// There is a danger of double-extended overflow   if N-1 > 16382 = 0x3ffe
-// r34 has N-1; 16382 is in register biased form, 0x13ffd
-// There is danger of double overflow if N-1 > 0x3fe
-//                       in register biased form, 0x103fd
-// Analagously, there is danger of single overflow if N-1 > 0x7e
-//                       in register biased form, 0x1007d
-// SAFE: If there is danger of overflow set SAFE to 0
+// Can approximate result by exp(x)/2 in this region.
+// Y_hi = Tjhi
+// Y_lo = Tjhi * (p_odd + p_even) + Tjlo
+// sinh(x) = Y_hi + Y_lo
 //
-// 4. SINH_HUGE
+// 4. SINH_HUGE     |x| >= 11357.21655  ( 400c b174 ddc0 31ae c0ea )
 // ============
-// SAFE: SAFE is always 0 for HUGE
+// Set error tag and call error support
+//
 //
-
-#include "libm_support.h"
-
 // Assembly macros
 //==============================================================
-sinh_FR_X            = f44
-sinh_FR_X2           = f9
-sinh_FR_X4           = f10
-sinh_FR_SGNX         = f40
-sinh_FR_all_ones     = f45
-sinh_FR_tmp          = f42
-
-sinh_FR_Inv_log2by64 = f9
-sinh_FR_log2by64_lo  = f11
-sinh_FR_log2by64_hi  = f10
-
-sinh_FR_A1           = f9
-sinh_FR_A2           = f10
-sinh_FR_A3           = f11
-
-sinh_FR_Rcub         = f12
-sinh_FR_M_temp       = f13
-sinh_FR_R_temp       = f13
-sinh_FR_Rsq          = f13
-sinh_FR_R            = f14
-
-sinh_FR_M            = f38
-
-sinh_FR_B1           = f15
-sinh_FR_B2           = f32
-sinh_FR_B3           = f33
+r_ad5                 = r14
+r_rshf_2to57          = r15
+r_exp_denorm          = r15
+r_ad_mJ_lo            = r15
+r_ad_J_lo             = r16
+r_2Nm1                = r17
+r_2mNm1               = r18
+r_exp_x               = r18
+r_ad_J_hi             = r19
+r_ad2o                = r19
+r_ad_mJ_hi            = r20
+r_mj                  = r21
+r_ad2e                = r22
+r_ad3                 = r23
+r_ad1                 = r24
+r_Mmj                 = r24
+r_rshf                = r25
+r_M                   = r25
+r_N                   = r25
+r_jshf                = r26
+r_exp_2tom57          = r26
+r_j                   = r26
+r_exp_mask            = r27
+r_signexp_x           = r28
+r_signexp_sgnx_0_5    = r28
+r_exp_0_25            = r29
+r_sig_inv_ln2         = r30
+r_exp_32              = r30
+r_exp_huge            = r30
+r_ad4                 = r31
+
+GR_SAVE_PFS           = r34
+GR_SAVE_B0            = r35
+GR_SAVE_GP            = r36
+
+GR_Parameter_X        = r37
+GR_Parameter_Y        = r38
+GR_Parameter_RESULT   = r39
+GR_Parameter_TAG      = r40
+
+
+f_ABS_X               = f9 
+f_X2                  = f10
+f_X4                  = f11
+f_tmp                 = f14
+f_RSHF                = f15
+
+f_Inv_log2by64        = f32
+f_log2by64_lo         = f33
+f_log2by64_hi         = f34
+f_A1                  = f35
+
+f_A2                  = f36
+f_A3                  = f37
+f_Rcub                = f38
+f_M_temp              = f39
+f_R_temp              = f40
+
+f_Rsq                 = f41
+f_R                   = f42
+f_M                   = f43
+f_B1                  = f44
+f_B2                  = f45
+
+f_B3                  = f46
+f_peven_temp1         = f47
+f_peven_temp2         = f48
+f_peven               = f49
+f_podd_temp1          = f50
+
+f_podd_temp2          = f51
+f_podd                = f52
+f_poly65              = f53
+f_poly6543            = f53
+f_poly6to1            = f53
+f_poly43              = f54
+f_poly21              = f55
+
+f_X3                  = f56
+f_INV_LN2_2TO63       = f57
+f_RSHF_2TO57          = f58
+f_2TOM57              = f59
+f_smlst_oflow_input   = f60
+
+f_pre_result          = f61
+f_huge                = f62
+f_spos                = f63
+f_sneg                = f64
+f_Tjhi                = f65
+
+f_Tjlo                = f66
+f_Tmjhi               = f67
+f_Tmjlo               = f68
+f_S_hi                = f69
+f_SC_hi_temp          = f70
+
+f_S_lo_temp1          = f71 
+f_S_lo_temp2          = f72 
+f_S_lo_temp3          = f73 
+f_S_lo_temp4          = f73 
+f_S_lo                = f74
+f_C_hi                = f75
+
+f_Y_hi                = f77 
+f_Y_lo_temp           = f78 
+f_Y_lo                = f79 
+f_NORM_X              = f80
+
+f_P1                  = f81
+f_P2                  = f82
+f_P3                  = f83
+f_P4                  = f84
+f_P5                  = f85
+
+f_P6                  = f86
+f_Tjhi_spos           = f87
+f_Tjlo_spos           = f88
+f_huge                = f89
+f_signed_hi_lo        = f90
 
-sinh_FR_peven_temp1  = f34
-sinh_FR_peven_temp2  = f35
-sinh_FR_peven        = f36
-
-sinh_FR_podd_temp1   = f34
-sinh_FR_podd_temp2   = f35
-sinh_FR_podd         = f37
-
-sinh_FR_poly_podd_temp1    =  f11 
-sinh_FR_poly_podd_temp2    =  f13
-sinh_FR_poly_peven_temp1   =  f11
-sinh_FR_poly_peven_temp2   =  f13
-
-sinh_FR_J_temp       = f9
-sinh_FR_J            = f10
-
-sinh_FR_Mmj          = f39
-
-sinh_FR_N_temp1      = f11
-sinh_FR_N_temp2      = f12
-sinh_FR_N            = f13
-
-sinh_FR_spos         = f14
-sinh_FR_sneg         = f15
-
-sinh_FR_Tjhi         = f32
-sinh_FR_Tjlo         = f33
-sinh_FR_Tmjhi        = f34
-sinh_FR_Tmjlo        = f35
-
-sinh_GR_mJ           = r35
-sinh_GR_J            = r36
-
-sinh_AD_mJ           = r38
-sinh_AD_J            = r39
-sinh_GR_all_ones     = r40
-
-sinh_FR_S_hi         = f9
-sinh_FR_S_hi_temp    = f10
-sinh_FR_S_lo_temp1   = f11 
-sinh_FR_S_lo_temp2   = f12 
-sinh_FR_S_lo_temp3   = f13 
-
-sinh_FR_S_lo         = f38
-sinh_FR_C_hi         = f39
-
-sinh_FR_C_hi_temp1   = f10
-sinh_FR_Y_hi         = f11 
-sinh_FR_Y_lo_temp    = f12 
-sinh_FR_Y_lo         = f13 
-sinh_FR_SINH         = f9
-
-sinh_FR_P1           = f14
-sinh_FR_P2           = f15
-sinh_FR_P3           = f32
-sinh_FR_P4           = f33
-sinh_FR_P5           = f34
-sinh_FR_P6           = f35
-
-sinh_FR_TINY_THRESH  = f9
-
-sinh_FR_SINH_temp    = f10
-sinh_FR_SCALE        = f11 
-
-sinh_FR_signed_hi_lo = f10
-
-
-GR_SAVE_PFS          = r41
-GR_SAVE_B0           = r42
-GR_SAVE_GP           = r43
-
-GR_Parameter_X       = r44
-GR_Parameter_Y       = r45
-GR_Parameter_RESULT  = r46
 
 // Data tables
 //==============================================================
 
-#ifdef _LIBC
-.rodata
-#else
-.data
-#endif
+// DO NOT CHANGE ORDER OF THESE TABLES
+RODATA
 
 .align 16
-double_sinh_arg_reduction:
-ASM_TYPE_DIRECTIVE(double_sinh_arg_reduction,@object)
-   data8 0xB8AA3B295C17F0BC, 0x00004005
-   data8 0xB17217F7D1000000, 0x00003FF8
-   data8 0xCF79ABC9E3B39804, 0x00003FD0
-ASM_SIZE_DIRECTIVE(double_sinh_arg_reduction)
-
-double_sinh_p_table:
-ASM_TYPE_DIRECTIVE(double_sinh_p_table,@object)
-   data8 0xAAAAAAAAAAAAAAAB, 0x00003FFC
-   data8 0x8888888888888412, 0x00003FF8
-   data8 0xD00D00D00D4D39F2, 0x00003FF2
-   data8 0xB8EF1D28926D8891, 0x00003FEC
-   data8 0xD732377688025BE9, 0x00003FE5
-   data8 0xB08AF9AE78C1239F, 0x00003FDE
-ASM_SIZE_DIRECTIVE(double_sinh_p_table)
-
-double_sinh_ab_table:
-ASM_TYPE_DIRECTIVE(double_sinh_ab_table,@object)
-   data8 0xAAAAAAAAAAAAAAAC, 0x00003FFC
-   data8 0x88888888884ECDD5, 0x00003FF8
-   data8 0xD00D0C6DCC26A86B, 0x00003FF2
-   data8 0x8000000000000002, 0x00003FFE
-   data8 0xAAAAAAAAAA402C77, 0x00003FFA
-   data8 0xB60B6CC96BDB144D, 0x00003FF5
-ASM_SIZE_DIRECTIVE(double_sinh_ab_table)
-
-double_sinh_j_table:
-ASM_TYPE_DIRECTIVE(double_sinh_j_table,@object)
-   data8 0xB504F333F9DE6484, 0x00003FFE, 0x1EB2FB13, 0x00000000
-   data8 0xB6FD91E328D17791, 0x00003FFE, 0x1CE2CBE2, 0x00000000
-   data8 0xB8FBAF4762FB9EE9, 0x00003FFE, 0x1DDC3CBC, 0x00000000
-   data8 0xBAFF5AB2133E45FB, 0x00003FFE, 0x1EE9AA34, 0x00000000
-   data8 0xBD08A39F580C36BF, 0x00003FFE, 0x9EAEFDC1, 0x00000000
-   data8 0xBF1799B67A731083, 0x00003FFE, 0x9DBF517B, 0x00000000
-   data8 0xC12C4CCA66709456, 0x00003FFE, 0x1EF88AFB, 0x00000000
-   data8 0xC346CCDA24976407, 0x00003FFE, 0x1E03B216, 0x00000000
-   data8 0xC5672A115506DADD, 0x00003FFE, 0x1E78AB43, 0x00000000
-   data8 0xC78D74C8ABB9B15D, 0x00003FFE, 0x9E7B1747, 0x00000000
-   data8 0xC9B9BD866E2F27A3, 0x00003FFE, 0x9EFE3C0E, 0x00000000
-   data8 0xCBEC14FEF2727C5D, 0x00003FFE, 0x9D36F837, 0x00000000
-   data8 0xCE248C151F8480E4, 0x00003FFE, 0x9DEE53E4, 0x00000000
-   data8 0xD06333DAEF2B2595, 0x00003FFE, 0x9E24AE8E, 0x00000000
-   data8 0xD2A81D91F12AE45A, 0x00003FFE, 0x1D912473, 0x00000000
-   data8 0xD4F35AABCFEDFA1F, 0x00003FFE, 0x1EB243BE, 0x00000000
-   data8 0xD744FCCAD69D6AF4, 0x00003FFE, 0x1E669A2F, 0x00000000
-   data8 0xD99D15C278AFD7B6, 0x00003FFE, 0x9BBC610A, 0x00000000
-   data8 0xDBFBB797DAF23755, 0x00003FFE, 0x1E761035, 0x00000000
-   data8 0xDE60F4825E0E9124, 0x00003FFE, 0x9E0BE175, 0x00000000
-   data8 0xE0CCDEEC2A94E111, 0x00003FFE, 0x1CCB12A1, 0x00000000
-   data8 0xE33F8972BE8A5A51, 0x00003FFE, 0x1D1BFE90, 0x00000000
-   data8 0xE5B906E77C8348A8, 0x00003FFE, 0x1DF2F47A, 0x00000000
-   data8 0xE8396A503C4BDC68, 0x00003FFE, 0x1EF22F22, 0x00000000
-   data8 0xEAC0C6E7DD24392F, 0x00003FFE, 0x9E3F4A29, 0x00000000
-   data8 0xED4F301ED9942B84, 0x00003FFE, 0x1EC01A5B, 0x00000000
-   data8 0xEFE4B99BDCDAF5CB, 0x00003FFE, 0x1E8CAC3A, 0x00000000
-   data8 0xF281773C59FFB13A, 0x00003FFE, 0x9DBB3FAB, 0x00000000
-   data8 0xF5257D152486CC2C, 0x00003FFE, 0x1EF73A19, 0x00000000
-   data8 0xF7D0DF730AD13BB9, 0x00003FFE, 0x9BB795B5, 0x00000000
-   data8 0xFA83B2DB722A033A, 0x00003FFE, 0x1EF84B76, 0x00000000
-   data8 0xFD3E0C0CF486C175, 0x00003FFE, 0x9EF5818B, 0x00000000
-   data8 0x8000000000000000, 0x00003FFF, 0x00000000, 0x00000000
-   data8 0x8164D1F3BC030773, 0x00003FFF, 0x1F77CACA, 0x00000000
-   data8 0x82CD8698AC2BA1D7, 0x00003FFF, 0x1EF8A91D, 0x00000000
-   data8 0x843A28C3ACDE4046, 0x00003FFF, 0x1E57C976, 0x00000000
-   data8 0x85AAC367CC487B15, 0x00003FFF, 0x9EE8DA92, 0x00000000
-   data8 0x871F61969E8D1010, 0x00003FFF, 0x1EE85C9F, 0x00000000
-   data8 0x88980E8092DA8527, 0x00003FFF, 0x1F3BF1AF, 0x00000000
-   data8 0x8A14D575496EFD9A, 0x00003FFF, 0x1D80CA1E, 0x00000000
-   data8 0x8B95C1E3EA8BD6E7, 0x00003FFF, 0x9D0373AF, 0x00000000
-   data8 0x8D1ADF5B7E5BA9E6, 0x00003FFF, 0x9F167097, 0x00000000
-   data8 0x8EA4398B45CD53C0, 0x00003FFF, 0x1EB70051, 0x00000000
-   data8 0x9031DC431466B1DC, 0x00003FFF, 0x1F6EB029, 0x00000000
-   data8 0x91C3D373AB11C336, 0x00003FFF, 0x1DFD6D8E, 0x00000000
-   data8 0x935A2B2F13E6E92C, 0x00003FFF, 0x9EB319B0, 0x00000000
-   data8 0x94F4EFA8FEF70961, 0x00003FFF, 0x1EBA2BEB, 0x00000000
-   data8 0x96942D3720185A00, 0x00003FFF, 0x1F11D537, 0x00000000
-   data8 0x9837F0518DB8A96F, 0x00003FFF, 0x1F0D5A46, 0x00000000
-   data8 0x99E0459320B7FA65, 0x00003FFF, 0x9E5E7BCA, 0x00000000
-   data8 0x9B8D39B9D54E5539, 0x00003FFF, 0x9F3AAFD1, 0x00000000
-   data8 0x9D3ED9A72CFFB751, 0x00003FFF, 0x9E86DACC, 0x00000000
-   data8 0x9EF5326091A111AE, 0x00003FFF, 0x9F3EDDC2, 0x00000000
-   data8 0xA0B0510FB9714FC2, 0x00003FFF, 0x1E496E3D, 0x00000000
-   data8 0xA27043030C496819, 0x00003FFF, 0x9F490BF6, 0x00000000
-   data8 0xA43515AE09E6809E, 0x00003FFF, 0x1DD1DB48, 0x00000000
-   data8 0xA5FED6A9B15138EA, 0x00003FFF, 0x1E65EBFB, 0x00000000
-   data8 0xA7CD93B4E965356A, 0x00003FFF, 0x9F427496, 0x00000000
-   data8 0xA9A15AB4EA7C0EF8, 0x00003FFF, 0x1F283C4A, 0x00000000
-   data8 0xAB7A39B5A93ED337, 0x00003FFF, 0x1F4B0047, 0x00000000
-   data8 0xAD583EEA42A14AC6, 0x00003FFF, 0x1F130152, 0x00000000
-   data8 0xAF3B78AD690A4375, 0x00003FFF, 0x9E8367C0, 0x00000000
-   data8 0xB123F581D2AC2590, 0x00003FFF, 0x9F705F90, 0x00000000
-   data8 0xB311C412A9112489, 0x00003FFF, 0x1EFB3C53, 0x00000000
-   data8 0xB504F333F9DE6484, 0x00003FFF, 0x1F32FB13, 0x00000000
-ASM_SIZE_DIRECTIVE(double_sinh_j_table)
-
-.align 32
-.global sinhl#
-
-.section .text
-.proc  sinhl#
-.align 32
-
-sinhl:
-#ifdef _LIBC
-.global __ieee754_sinhl
-.type __ieee754_sinhl,@function
-__ieee754_sinhl:
-#endif
-
-// X infinity or NAN?
-// Take invalid fault if enabled
-
+LOCAL_OBJECT_START(sinh_arg_reduction)
+//   data8 0xB8AA3B295C17F0BC, 0x00004005  // 64/log2 -- signif loaded with setf
+   data8 0xB17217F7D1000000, 0x00003FF8  // log2/64 high part
+   data8 0xCF79ABC9E3B39804, 0x00003FD0  // log2/64 low part
+   data8 0xb174ddc031aec0ea, 0x0000400c  // Smallest x to overflow (11357.21655)
+LOCAL_OBJECT_END(sinh_arg_reduction)
+
+LOCAL_OBJECT_START(sinh_p_table)
+   data8 0xB08AF9AE78C1239F, 0x00003FDE  // P6
+   data8 0xB8EF1D28926D8891, 0x00003FEC  // P4
+   data8 0x8888888888888412, 0x00003FF8  // P2
+   data8 0xD732377688025BE9, 0x00003FE5  // P5
+   data8 0xD00D00D00D4D39F2, 0x00003FF2  // P3
+   data8 0xAAAAAAAAAAAAAAAB, 0x00003FFC  // P1
+LOCAL_OBJECT_END(sinh_p_table)
+
+LOCAL_OBJECT_START(sinh_ab_table)
+   data8 0xAAAAAAAAAAAAAAAC, 0x00003FFC  // A1
+   data8 0x88888888884ECDD5, 0x00003FF8  // A2
+   data8 0xD00D0C6DCC26A86B, 0x00003FF2  // A3
+   data8 0x8000000000000002, 0x00003FFE  // B1
+   data8 0xAAAAAAAAAA402C77, 0x00003FFA  // B2
+   data8 0xB60B6CC96BDB144D, 0x00003FF5  // B3
+LOCAL_OBJECT_END(sinh_ab_table)
+
+LOCAL_OBJECT_START(sinh_j_hi_table)
+   data8 0xB504F333F9DE6484, 0x00003FFE
+   data8 0xB6FD91E328D17791, 0x00003FFE
+   data8 0xB8FBAF4762FB9EE9, 0x00003FFE
+   data8 0xBAFF5AB2133E45FB, 0x00003FFE
+   data8 0xBD08A39F580C36BF, 0x00003FFE
+   data8 0xBF1799B67A731083, 0x00003FFE
+   data8 0xC12C4CCA66709456, 0x00003FFE
+   data8 0xC346CCDA24976407, 0x00003FFE
+   data8 0xC5672A115506DADD, 0x00003FFE
+   data8 0xC78D74C8ABB9B15D, 0x00003FFE
+   data8 0xC9B9BD866E2F27A3, 0x00003FFE
+   data8 0xCBEC14FEF2727C5D, 0x00003FFE
+   data8 0xCE248C151F8480E4, 0x00003FFE
+   data8 0xD06333DAEF2B2595, 0x00003FFE
+   data8 0xD2A81D91F12AE45A, 0x00003FFE
+   data8 0xD4F35AABCFEDFA1F, 0x00003FFE
+   data8 0xD744FCCAD69D6AF4, 0x00003FFE
+   data8 0xD99D15C278AFD7B6, 0x00003FFE
+   data8 0xDBFBB797DAF23755, 0x00003FFE
+   data8 0xDE60F4825E0E9124, 0x00003FFE
+   data8 0xE0CCDEEC2A94E111, 0x00003FFE
+   data8 0xE33F8972BE8A5A51, 0x00003FFE
+   data8 0xE5B906E77C8348A8, 0x00003FFE
+   data8 0xE8396A503C4BDC68, 0x00003FFE
+   data8 0xEAC0C6E7DD24392F, 0x00003FFE
+   data8 0xED4F301ED9942B84, 0x00003FFE
+   data8 0xEFE4B99BDCDAF5CB, 0x00003FFE
+   data8 0xF281773C59FFB13A, 0x00003FFE
+   data8 0xF5257D152486CC2C, 0x00003FFE
+   data8 0xF7D0DF730AD13BB9, 0x00003FFE
+   data8 0xFA83B2DB722A033A, 0x00003FFE
+   data8 0xFD3E0C0CF486C175, 0x00003FFE
+   data8 0x8000000000000000, 0x00003FFF // Center of table
+   data8 0x8164D1F3BC030773, 0x00003FFF
+   data8 0x82CD8698AC2BA1D7, 0x00003FFF
+   data8 0x843A28C3ACDE4046, 0x00003FFF
+   data8 0x85AAC367CC487B15, 0x00003FFF
+   data8 0x871F61969E8D1010, 0x00003FFF
+   data8 0x88980E8092DA8527, 0x00003FFF
+   data8 0x8A14D575496EFD9A, 0x00003FFF
+   data8 0x8B95C1E3EA8BD6E7, 0x00003FFF
+   data8 0x8D1ADF5B7E5BA9E6, 0x00003FFF
+   data8 0x8EA4398B45CD53C0, 0x00003FFF
+   data8 0x9031DC431466B1DC, 0x00003FFF
+   data8 0x91C3D373AB11C336, 0x00003FFF
+   data8 0x935A2B2F13E6E92C, 0x00003FFF
+   data8 0x94F4EFA8FEF70961, 0x00003FFF
+   data8 0x96942D3720185A00, 0x00003FFF
+   data8 0x9837F0518DB8A96F, 0x00003FFF
+   data8 0x99E0459320B7FA65, 0x00003FFF
+   data8 0x9B8D39B9D54E5539, 0x00003FFF
+   data8 0x9D3ED9A72CFFB751, 0x00003FFF
+   data8 0x9EF5326091A111AE, 0x00003FFF
+   data8 0xA0B0510FB9714FC2, 0x00003FFF
+   data8 0xA27043030C496819, 0x00003FFF
+   data8 0xA43515AE09E6809E, 0x00003FFF
+   data8 0xA5FED6A9B15138EA, 0x00003FFF
+   data8 0xA7CD93B4E965356A, 0x00003FFF
+   data8 0xA9A15AB4EA7C0EF8, 0x00003FFF
+   data8 0xAB7A39B5A93ED337, 0x00003FFF
+   data8 0xAD583EEA42A14AC6, 0x00003FFF
+   data8 0xAF3B78AD690A4375, 0x00003FFF
+   data8 0xB123F581D2AC2590, 0x00003FFF
+   data8 0xB311C412A9112489, 0x00003FFF
+   data8 0xB504F333F9DE6484, 0x00003FFF
+LOCAL_OBJECT_END(sinh_j_hi_table)
+
+LOCAL_OBJECT_START(sinh_j_lo_table)
+   data4 0x1EB2FB13
+   data4 0x1CE2CBE2
+   data4 0x1DDC3CBC
+   data4 0x1EE9AA34
+   data4 0x9EAEFDC1
+   data4 0x9DBF517B
+   data4 0x1EF88AFB
+   data4 0x1E03B216
+   data4 0x1E78AB43
+   data4 0x9E7B1747
+   data4 0x9EFE3C0E
+   data4 0x9D36F837
+   data4 0x9DEE53E4
+   data4 0x9E24AE8E
+   data4 0x1D912473
+   data4 0x1EB243BE
+   data4 0x1E669A2F
+   data4 0x9BBC610A
+   data4 0x1E761035
+   data4 0x9E0BE175
+   data4 0x1CCB12A1
+   data4 0x1D1BFE90
+   data4 0x1DF2F47A
+   data4 0x1EF22F22
+   data4 0x9E3F4A29
+   data4 0x1EC01A5B
+   data4 0x1E8CAC3A
+   data4 0x9DBB3FAB
+   data4 0x1EF73A19
+   data4 0x9BB795B5
+   data4 0x1EF84B76
+   data4 0x9EF5818B
+   data4 0x00000000 // Center of table
+   data4 0x1F77CACA
+   data4 0x1EF8A91D
+   data4 0x1E57C976
+   data4 0x9EE8DA92
+   data4 0x1EE85C9F
+   data4 0x1F3BF1AF
+   data4 0x1D80CA1E
+   data4 0x9D0373AF
+   data4 0x9F167097
+   data4 0x1EB70051
+   data4 0x1F6EB029
+   data4 0x1DFD6D8E
+   data4 0x9EB319B0
+   data4 0x1EBA2BEB
+   data4 0x1F11D537
+   data4 0x1F0D5A46
+   data4 0x9E5E7BCA
+   data4 0x9F3AAFD1
+   data4 0x9E86DACC
+   data4 0x9F3EDDC2
+   data4 0x1E496E3D
+   data4 0x9F490BF6
+   data4 0x1DD1DB48
+   data4 0x1E65EBFB
+   data4 0x9F427496
+   data4 0x1F283C4A
+   data4 0x1F4B0047
+   data4 0x1F130152
+   data4 0x9E8367C0
+   data4 0x9F705F90
+   data4 0x1EFB3C53
+   data4 0x1F32FB13
+LOCAL_OBJECT_END(sinh_j_lo_table)
 
-{ .mfi
-      alloc r32 = ar.pfs,0,12,4,0                  
-(p0)     fclass.m.unc  p6,p0 = f8, 0xe3	//@qnan | @snan | @inf 
-         mov sinh_GR_all_ones = -1
-}
-;;
 
+.section .text
+GLOBAL_IEEE754_ENTRY(sinhl)
 
-{ .mfb
-         nop.m 999
-(p6)     fma.s0   f8 = f8,f1,f8               
-(p6)     br.ret.spnt     b0 ;;                          
-}
-
-// Put 0.25 in f9; p6 true if x < 0.25
-// Make constant that will generate inexact when squared
 { .mlx
-         setf.sig sinh_FR_all_ones = sinh_GR_all_ones 
-(p0)     movl            r32 = 0x000000000000fffd ;;         
-}
-
-{ .mfi
-(p0)     setf.exp        f9 = r32                         
-(p0)     fclass.m.unc  p7,p0 = f8, 0x07	//@zero
-         nop.i 999 ;;
-}
-
-{ .mfb
-         nop.m 999
-(p0)     fmerge.s      sinh_FR_X    = f0,f8             
-(p7)     br.ret.spnt     b0 ;;                          
+      getf.exp        r_signexp_x = f8   // Get signexp of x, must redo if unorm
+      movl            r_sig_inv_ln2 = 0xb8aa3b295c17f0bc // significand of 1/ln2
 }
-
-// Identify denormal operands.
-{ .mfi
-         nop.m 999
-         fclass.m.unc  p10,p0 = f8, 0x09        //  + denorm
-         nop.i 999
-};;
-{ .mfi
-         nop.m 999
-         fclass.m.unc  p11,p0 = f8, 0x0a        //  - denorm
-         nop.i 999 
+{ .mlx
+      addl            r_ad1 = @ltoff(sinh_arg_reduction), gp
+      movl            r_rshf_2to57 = 0x4778000000000000 // 1.10000 2^(63+57)
 }
+;;
 
 { .mfi
-         nop.m 999
-(p0)     fmerge.s      sinh_FR_SGNX = f8,f1             
-         nop.i 999 ;;
+      ld8             r_ad1 = [r_ad1]
+      fmerge.s        f_ABS_X    = f0,f8
+      mov             r_exp_0_25 = 0x0fffd    // Form exponent for 0.25
 }
-
 { .mfi
-         nop.m 999
-(p0)     fcmp.lt.unc.s1  p0,p7 = sinh_FR_X,f9             
-         nop.i 999 ;;
-}
-
-{ .mib
-         nop.m 999
-         nop.i 999
-(p7)     br.cond.sptk    L(SINH_BY_TBL) ;;                      
-}
-
-
-L(SINH_BY_POLY): 
-
-// POLY cannot overflow so there is no need to call __libm_error_support
-// Set tiny_SAFE (p7) to 1(0) if answer is not tiny 
-// Currently we do not use tiny_SAFE. So the setting of tiny_SAFE is
-// commented out.
-//(p0)     movl            r32            = 0x000000000000fc01           
-//(p0)     setf.exp        f10            = r32                         
-//(p0)     fcmp.lt.unc.s1  p6,p7          = f8,f10                     
-// Here is essentially the algorithm for SINH_BY_POLY. Care is take for the order 
-// of multiplication; and P_1 is not exactly 1/3!, P_2 is not exactly 1/5!, etc.
-// Note that ax = |x|
-// sinh(x) = sign * (series(e^x) - series(e^-x))/2
-//         = sign * (ax + ax^3/3! + ax^5/5! + ax^7/7! + ax^9/9! + ax^11/11! + ax^13/13!)
-//         = sign * (ax   + ax * ( ax^2 * (1/3! + ax^4 * (1/7! + ax^4*1/11!)) )
-//                        + ax * ( ax^4 * (1/5! + ax^4 * (1/9! + ax^4*1/13!)) ) )
-//         = sign * (ax   + ax*p_odd + (ax*p_even))
-//         = sign * (ax   + Y_lo)
-// sinh(x) = sign * (Y_hi + Y_lo)
-// Get the values of P_x from the table
-{ .mfb
-(p0)  addl           r34   = @ltoff(double_sinh_p_table), gp
-(p10) fma.s0       f8 =  f8,f8,f8
-(p10) br.ret.spnt    b0
-}
-;;
-
-{ .mfb
-      ld8 r34 = [r34]
-(p11) fnma.s0      f8 =  f8,f8,f8
-(p11) br.ret.spnt    b0
+      nop.m           0
+      fnorm.s1        f_NORM_X = f8      
+      mov             r_exp_2tom57 = 0xffff-57
 }
 ;;
 
-// Calculate sinh_FR_X2 = ax*ax and sinh_FR_X4 = ax*ax*ax*ax
-{ .mmf
-         nop.m 999
-(p0)     ldfe            sinh_FR_P1 = [r34],16                 
-(p0)     fma.s1        sinh_FR_X2 = sinh_FR_X, sinh_FR_X, f0 ;;           
-}
-
-{ .mmi
-(p0)     ldfe            sinh_FR_P2 = [r34],16 ;;                 
-(p0)     ldfe            sinh_FR_P3 = [r34],16                 
-         nop.i 999 ;;
-}
-
-{ .mmi
-(p0)     ldfe            sinh_FR_P4 = [r34],16 ;;                 
-(p0)     ldfe            sinh_FR_P5 = [r34],16                 
-         nop.i 999 ;;
-}
-
 { .mfi
-(p0)     ldfe            sinh_FR_P6 = [r34],16                 
-(p0)     fma.s1        sinh_FR_X4 = sinh_FR_X2, sinh_FR_X2, f0         
-         nop.i 999 ;;
+      setf.d          f_RSHF_2TO57 = r_rshf_2to57 // Form const 1.100 * 2^120
+      fclass.m        p10,p0 = f8, 0x0b           // Test for denorm
+      mov             r_exp_mask = 0x1ffff 
 }
-
-// Calculate sinh_FR_podd = p_odd and sinh_FR_peven = p_even 
-{ .mfi
-         nop.m 999
-(p0)     fma.s1      sinh_FR_poly_podd_temp1 = sinh_FR_X4, sinh_FR_P5, sinh_FR_P3                
-         nop.i 999 ;;
-}
-
-{ .mfi
-         nop.m 999
-(p0)     fma.s1      sinh_FR_poly_podd_temp2 = sinh_FR_X4, sinh_FR_poly_podd_temp1, sinh_FR_P1   
-         nop.i 999
+{ .mlx
+      setf.sig        f_INV_LN2_2TO63 = r_sig_inv_ln2 // Form 1/ln2 * 2^63
+      movl            r_rshf = 0x43e8000000000000 // 1.1000 2^63 for right shift
 }
+;;
 
 { .mfi
-         nop.m 999
-(p0)     fma.s1      sinh_FR_poly_peven_temp1 = sinh_FR_X4, sinh_FR_P6, sinh_FR_P4               
-         nop.i 999 ;;
+      nop.m           0
+      fclass.m        p7,p0 = f8, 0x07  // Test if x=0
+      nop.i           0
 }
-
 { .mfi
-         nop.m 999
-(p0)     fma.s1      sinh_FR_podd       = sinh_FR_X2, sinh_FR_poly_podd_temp2, f0           
-         nop.i 999
+      setf.exp        f_2TOM57 = r_exp_2tom57 // Form 2^-57 for scaling
+      nop.f           0
+      add             r_ad3 = 0x90, r_ad1  // Point to ab_table
 }
+;;
 
 { .mfi
-         nop.m 999
-(p0)     fma.s1      sinh_FR_poly_peven_temp2 = sinh_FR_X4, sinh_FR_poly_peven_temp1, sinh_FR_P2 
-         nop.i 999 ;;
+      setf.d          f_RSHF = r_rshf     // Form right shift const 1.100 * 2^63
+      fclass.m        p6,p0 = f8, 0xe3     // Test if x nan, inf
+      add             r_ad4 = 0x2f0, r_ad1 // Point to j_hi_table midpoint
 }
-
-{ .mfi
-         nop.m 999
-(p0)     fma.s1      sinh_FR_peven       = sinh_FR_X4, sinh_FR_poly_peven_temp2, f0         
-         nop.i 999 ;;
+{ .mib
+      add             r_ad2e = 0x20, r_ad1 // Point to p_table
+      nop.i           0
+(p10) br.cond.spnt    SINH_DENORM          // Branch if x denorm
 }
+;;
 
-// Calculate sinh_FR_Y_lo = ax*p_odd + (ax*p_even)
+// Common path -- return here from SINH_DENORM if x is unnorm
+SINH_COMMON:
 { .mfi
-         nop.m 999
-(p0)     fma.s1      sinh_FR_Y_lo_temp    = sinh_FR_X, sinh_FR_peven, f0                    
-         nop.i 999 ;;
+      ldfe            f_smlst_oflow_input = [r_ad2e],16
+      nop.f           0
+      add             r_ad5 = 0x580, r_ad1 // Point to j_lo_table midpoint
 }
-
-{ .mfi
-         nop.m 999
-(p0)     fma.s1      sinh_FR_Y_lo         = sinh_FR_X, sinh_FR_podd,  sinh_FR_Y_lo_temp          
-         nop.i 999 ;;
+{ .mib
+      ldfe            f_log2by64_hi  = [r_ad1],16       
+      and             r_exp_x = r_exp_mask, r_signexp_x
+(p7)  br.ret.spnt     b0                  // Exit if x=0
 }
+;;
 
-// Calculate sinh_FR_SINH = Y_hi + Y_lo. Note that ax = Y_hi
-{ .mfi
-         nop.m 999
-(p0)     fma.s1      sinh_FR_SINH        = sinh_FR_X, f1, sinh_FR_Y_lo                      
-         nop.i 999 ;;
-}
-// Dummy multiply to generate inexact
+// Get the A coefficients for SINH_BY_TBL
 { .mfi
-         nop.m 999
-(p0)     fmpy.s0      sinh_FR_tmp = sinh_FR_all_ones, sinh_FR_all_ones
-         nop.i 999
+      ldfe            f_A1 = [r_ad3],16            
+      fcmp.lt.s1      p8,p9 = f8,f0           // Test for x<0
+      cmp.lt          p7,p0 = r_exp_x, r_exp_0_25  // Test x < 0.25
 }
-
-// Calculate f8 = sign * (Y_hi + Y_lo)
-// Go to return
 { .mfb
-         nop.m 999
-(p0)     fma.s0        f8 = sinh_FR_SGNX,sinh_FR_SINH,f0                       
-(p0)     br.ret.sptk     b0 ;;                          
-}
-
-
-L(SINH_BY_TBL): 
-
-// Now that we are at TBL; so far all we know is that |x| >= 0.25.
-// The first two steps are the same for TBL and EXP, but if we are HUGE
-// we want to leave now. 
-// Double-extended:
-// Go to HUGE if |x| >= 2^14, 1000d (register-biased) is e = 14 (true)
-// Double
-// Go to HUGE if |x| >= 2^10, 10009 (register-biased) is e = 10 (true)
-// Single
-// Go to HUGE if |x| >= 2^7,  10006 (register-biased) is e =  7 (true)
-
-{ .mlx
-         nop.m 999
-(p0)     movl            r32 = 0x000000000001000d ;;         
-}
-
-{ .mfi
-(p0)     setf.exp        f9 = r32                         
-         nop.f 999
-         nop.i 999 ;;
+      add             r_ad2o = 0x30, r_ad2e  // Point to p_table odd coeffs
+(p6)  fma.s0          f8 = f8,f1,f0          // Result for x nan, inf          
+(p6)  br.ret.spnt     b0                     // Exit for x nan, inf
 }
+;;
 
+// Calculate X2 = ax*ax for SINH_BY_POLY
 { .mfi
-         nop.m 999
-(p0)     fcmp.ge.unc.s1  p6,p7 = sinh_FR_X,f9             
-         nop.i 999 ;;
+      ldfe            f_log2by64_lo  = [r_ad1],16       
+      nop.f           0
+      nop.i           0
 }
-
-{ .mib
-         nop.m 999
-         nop.i 999
-(p6)     br.cond.spnt    L(SINH_HUGE) ;;                        
+{ .mfb
+      ldfe            f_A2 = [r_ad3],16            
+      fma.s1          f_X2 = f_NORM_X, f_NORM_X, f0
+(p7)  br.cond.spnt    SINH_BY_POLY
 }
+;;
 
-// r32 = 1
-// r34 = N-1 
-// r35 = N
-// r36 = j
-// r37 = N+1
-
-// TBL can never overflow
-// sinh(x) = sinh(B+R)
-//         = sinh(B)cosh(R) + cosh(B)sinh(R)
-// 
-// ax = |x| = M*log2/64 + R
-// B = M*log2/64
-// M = 64*N + j 
-//   We will calcualte M and get N as (M-j)/64
-//   The division is a shift.
-// exp(B)  = exp(N*log2 + j*log2/64)
-//         = 2^N * 2^(j*log2/64)
-// sinh(B) = 1/2(e^B -e^-B)
-//         = 1/2(2^N * 2^(j*log2/64) - 2^-N * 2^(-j*log2/64)) 
-// sinh(B) = (2^(N-1) * 2^(j*log2/64) - 2^(-N-1) * 2^(-j*log2/64)) 
-// cosh(B) = (2^(N-1) * 2^(j*log2/64) + 2^(-N-1) * 2^(-j*log2/64)) 
-// 2^(j*log2/64) is stored as Tjhi + Tjlo , j= -32,....,32
-// Tjhi is double-extended (80-bit) and Tjlo is single(32-bit)
-// R = ax - M*log2/64
-// R = ax - M*log2_by_64_hi - M*log2_by_64_lo
-// exp(R) = 1 + R +R^2(1/2! + R(1/3! + R(1/4! + ... + R(1/n!)...)
-//        = 1 + p_odd + p_even
-//        where the p_even uses the A coefficients and the p_even uses the B coefficients
-// So sinh(R) = 1 + p_odd + p_even -(1 -p_odd -p_even)/2 = p_odd
-//    cosh(R) = 1 + p_even
-//    sinh(B) = S_hi + S_lo
-//    cosh(B) = C_hi
-// sinh(x) = sinh(B)cosh(R) + cosh(B)sinh(R)
+// Here if |x| >= 0.25
+SINH_BY_TBL: 
 // ******************************************************
-// STEP 1 (TBL and EXP)
+// STEP 1 (TBL and EXP) - Argument reduction
 // ******************************************************
 // Get the following constants. 
-// f9  = Inv_log2by64
-// f10 = log2by64_hi
-// f11 = log2by64_lo
-
-{ .mmi
-(p0)  adds                 r32 = 0x1,r0      
-(p0)  addl           r34   = @ltoff(double_sinh_arg_reduction), gp
-      nop.i 999
-}
-;;
-
-{ .mmi
-      ld8 r34 = [r34]
-      nop.m 999
-      nop.i 999
-}
-;;
+// Inv_log2by64
+// log2by64_hi
+// log2by64_lo
 
 
 // We want 2^(N-1) and 2^(-N-1). So bias N-1 and -N-1 and
 // put them in an exponent.
-// sinh_FR_spos = 2^(N-1) and sinh_FR_sneg = 2^(-N-1)
-// r39 = 0xffff + (N-1)  = 0xffff +N -1
-// r40 = 0xffff - (N +1) = 0xffff -N -1
-
-{ .mlx
-         nop.m 999
-(p0)     movl                r38 = 0x000000000000fffe ;; 
-}
-
-{ .mmi
-(p0)     ldfe            sinh_FR_Inv_log2by64 = [r34],16 ;;       
-(p0)     ldfe            sinh_FR_log2by64_hi  = [r34],16       
-         nop.i 999 ;;
-}
-
-{ .mbb
-(p0)     ldfe            sinh_FR_log2by64_lo  = [r34],16       
-         nop.b 999
-         nop.b 999 ;;
-}
+// f_spos = 2^(N-1) and f_sneg = 2^(-N-1)
+// 0xffff + (N-1)  = 0xffff +N -1
+// 0xffff - (N +1) = 0xffff -N -1
 
-// Get the A coefficients
-// f9  = A_1
-// f10 = A_2
-// f11 = A_3
 
-{ .mmi
-      nop.m 999
-(p0)  addl           r34   = @ltoff(double_sinh_ab_table), gp
-      nop.i 999
-}
-;;
+// Calculate M and keep it as integer and floating point.
+// M = round-to-integer(x*Inv_log2by64)
+// f_M = M = truncate(ax/(log2/64))
+// Put the integer representation of M in r_M
+//    and the floating point representation of M in f_M
 
+// Get the remaining A,B coefficients
 { .mmi
-      ld8 r34 = [r34]
-      nop.m 999
-      nop.i 999
+      ldfe            f_A3 = [r_ad3],16
+      nop.m           0
+      nop.i           0
 }
 ;;
 
-
-// Calculate M and keep it as integer and floating point.
-// f38 = M = round-to-integer(x*Inv_log2by64)
-// sinh_FR_M = M = truncate(ax/(log2/64))
-// Put the significand of M in r35
-//    and the floating point representation of M in sinh_FR_M
-
+.pred.rel "mutex",p8,p9
+// Use constant (1.100*2^(63-6)) to get rounded M into rightmost significand
+// |x| * 64 * 1/ln2 * 2^(63-6) + 1.1000 * 2^(63+(63-6))
 { .mfi
-         nop.m 999
-(p0)     fma.s1          sinh_FR_M      = sinh_FR_X, sinh_FR_Inv_log2by64, f0 
-         nop.i 999
+(p8)  mov             r_signexp_sgnx_0_5 = 0x2fffe // signexp of -0.5
+      fma.s1          f_M_temp = f_ABS_X, f_INV_LN2_2TO63, f_RSHF_2TO57
+(p9)  mov             r_signexp_sgnx_0_5 = 0x0fffe // signexp of +0.5
 }
+;;
 
+// Test for |x| >= overflow limit
 { .mfi
-(p0)     ldfe            sinh_FR_A1 = [r34],16            
-         nop.f 999
-         nop.i 999 ;;
+      ldfe            f_B1 = [r_ad3],16
+      fcmp.ge.s1      p6,p0 = f_ABS_X, f_smlst_oflow_input
+      nop.i           0
 }
+;;
 
 { .mfi
-         nop.m 999
-(p0)     fcvt.fx.s1      sinh_FR_M_temp = sinh_FR_M                      
-         nop.i 999 ;;
+      ldfe            f_B2 = [r_ad3],16
+      nop.f           0
+      mov             r_exp_32 = 0x10004
 }
+;;
 
-{ .mfi
-         nop.m 999
-(p0)     fnorm.s1        sinh_FR_M      = sinh_FR_M_temp                 
-         nop.i 999 ;;
+// Subtract RSHF constant to get rounded M as a floating point value
+// M_temp * 2^(63-6) - 2^63
+{ .mfb
+      ldfe            f_B3 = [r_ad3],16            
+      fms.s1          f_M = f_M_temp, f_2TOM57, f_RSHF
+(p6)  br.cond.spnt    SINH_HUGE  // Branch if result will overflow
 }
+;;
 
 { .mfi
-(p0)     getf.sig        r35       = sinh_FR_M_temp                 
-         nop.f 999
-         nop.i 999 ;;
+      getf.sig        r_M = f_M_temp                 
+      nop.f           0
+      cmp.ge          p7,p6 = r_exp_x, r_exp_32 // Test if x >= 32
 }
+;;
 
-// M is still in r35. Calculate j. j is the signed extension of the six lsb of M. It 
+// Calculate j. j is the signed extension of the six lsb of M. It 
 // has a range of -32 thru 31.
-// r35 = M
-// r36 = j 
-
-{ .mii
-         nop.m 999
-         nop.i 999 ;;
-(p0)     and            r36 = 0x3f, r35 ;;   
-}
 
 // Calculate R
-// f13 = f44 - f12*f10 = ax - M*log2by64_hi
-// f14 = f13 - f8*f11  = R = (ax - M*log2by64_hi) - M*log2by64_lo
-
-{ .mfi
-         nop.m 999
-(p0)     fnma.s1           sinh_FR_R_temp = sinh_FR_M, sinh_FR_log2by64_hi, sinh_FR_X      
-         nop.i 999
-}
+// ax - M*log2by64_hi
+// R = (ax - M*log2by64_hi) - M*log2by64_lo
 
 { .mfi
-(p0)     ldfe            sinh_FR_A2 = [r34],16            
-         nop.f 999
-         nop.i 999 ;;
+      nop.m           0
+      fnma.s1         f_R_temp = f_M, f_log2by64_hi, f_ABS_X
+      and             r_j = 0x3f, r_M
 }
+;;
 
-{ .mfi
-         nop.m 999
-(p0)     fnma.s1           sinh_FR_R      = sinh_FR_M, sinh_FR_log2by64_lo, sinh_FR_R_temp 
-         nop.i 999
+{ .mii
+      nop.m           0
+      shl             r_jshf = r_j, 0x2 // Shift j so can sign extend it
+;;
+      sxt1            r_jshf = r_jshf
 }
+;;
 
-// Get the B coefficients
-// f15 = B_1
-// f32 = B_2
-// f33 = B_3
-
-{ .mmi
-(p0)     ldfe            sinh_FR_A3 = [r34],16 ;;            
-(p0)     ldfe            sinh_FR_B1 = [r34],16            
-         nop.i 999 ;;
+{ .mii
+      nop.m           0
+      shr             r_j = r_jshf, 0x2    // Now j has range -32 to 31
+      nop.i           0
 }
+;;
 
 { .mmi
-(p0)     ldfe            sinh_FR_B2 = [r34],16 ;;            
-(p0)     ldfe            sinh_FR_B3 = [r34],16            
-         nop.i 999 ;;
-}
-
-{ .mii
-         nop.m 999
-(p0)     shl            r34 = r36,  0x2 ;;   
-(p0)     sxt1           r37 = r34 ;;         
+      shladd          r_ad_J_hi = r_j, 4, r_ad4 // pointer to Tjhi
+      sub             r_Mmj = r_M, r_j          // M-j
+      sub             r_mj = r0, r_j            // Form -j
 }
+;;
 
-// ******************************************************
-// STEP 2 (TBL and EXP)
-// ******************************************************
-// Calculate Rsquared and Rcubed in preparation for p_even and p_odd
-// f12 = R*R*R
-// f13 = R*R
-// f14 = R <== from above
-
+// The TBL and EXP branches are merged and predicated
+// If TBL, p6 true, 0.25 <= |x| < 32
+// If EXP, p7 true, 32 <= |x| < overflow_limit
+//
+// N = (M-j)/64
 { .mfi
-         nop.m 999
-(p0)     fma.s1             sinh_FR_Rsq  = sinh_FR_R,   sinh_FR_R, f0  
-(p0)     shr            r36 = r37,  0x2 ;;   
+      ldfe            f_Tjhi = [r_ad_J_hi]
+      fnma.s1         f_R = f_M, f_log2by64_lo, f_R_temp 
+      shr             r_N = r_Mmj, 0x6            // N = (M-j)/64 
 }
-
-// r34 = M-j = r35 - r36
-// r35 = N = (M-j)/64
-
-{ .mii
-(p0)     sub                  r34 = r35, r36    
-         nop.i 999 ;;
-(p0)     shr                  r35 = r34, 0x6 ;;    
+{ .mfi
+      shladd          r_ad_mJ_hi = r_mj, 4, r_ad4 // pointer to Tmjhi
+      nop.f           0
+      shladd          r_ad_mJ_lo = r_mj, 2, r_ad5 // pointer to Tmjlo
 }
+;;
 
-{ .mii
-(p0)     sub                 r40 = r38, r35           
-(p0)     adds                 r37 = 0x1, r35    
-(p0)     add                 r39 = r38, r35 ;;           
+{ .mfi
+      sub             r_2mNm1 = r_signexp_sgnx_0_5, r_N // signexp sgnx*2^(-N-1)
+      nop.f           0
+      shladd          r_ad_J_lo = r_j, 2, r_ad5   // pointer to Tjlo
 }
-
-// Get the address of the J table, add the offset, 
-// addresses are sinh_AD_mJ and sinh_AD_J, get the T value
-// f32 = T(j)_hi
-// f33 = T(j)_lo
-// f34 = T(-j)_hi
-// f35 = T(-j)_lo
-
-{ .mmi
-(p0)  sub                  r34 = r35, r32    
-(p0)  addl           r37   = @ltoff(double_sinh_j_table), gp
-      nop.i 999
+{ .mfi
+      ldfe            f_Tmjhi = [r_ad_mJ_hi]
+      nop.f           0
+      add             r_2Nm1 = r_signexp_sgnx_0_5, r_N // signexp sgnx*2^(N-1)
 }
 ;;
 
-{ .mmi
-      ld8 r37 = [r37]
-      nop.m 999
-      nop.i 999
+{ .mmf
+      ldfs            f_Tmjlo = [r_ad_mJ_lo]
+      setf.exp        f_sneg = r_2mNm1            // Form sgnx * 2^(-N-1)
+      nop.f           0
 }
 ;;
 
-
-{ .mfi
-         nop.m 999
-(p0)     fma.s1             sinh_FR_Rcub = sinh_FR_Rsq, sinh_FR_R, f0  
-         nop.i 999
+{ .mmf
+      ldfs            f_Tjlo  = [r_ad_J_lo]
+      setf.exp        f_spos = r_2Nm1             // Form sgnx * 2^(N-1)
+      nop.f           0
 }
+;;
 
 // ******************************************************
-// STEP 3 Now decide if we need to branch to EXP
+// STEP 2 (TBL and EXP)
 // ******************************************************
-// Put 32 in f9; p6 true if x < 32
-// Go to EXP if |x| >= 32 
+// Calculate Rsquared and Rcubed in preparation for p_even and p_odd
 
-{ .mlx
-         nop.m 999
-(p0)     movl                r32 = 0x0000000000010004 ;;               
+{ .mmf
+      nop.m           0
+      nop.m           0
+      fma.s1          f_Rsq  = f_R, f_R, f0
 }
+;;
 
-// Calculate p_even
-// f34 = B_2 + Rsq *B_3
-// f35 = B_1 + Rsq*f34      = B_1 + Rsq * (B_2 + Rsq *B_3)
-// f36 = p_even = Rsq * f35 = Rsq * (B_1 + Rsq * (B_2 + Rsq *B_3))
-
-{ .mfi
-         nop.m 999
-(p0)     fma.s1          sinh_FR_peven_temp1 = sinh_FR_Rsq, sinh_FR_B3,          sinh_FR_B2  
-         nop.i 999 ;;
-}
 
+// Calculate p_even
+// B_2 + Rsq *B_3
+// B_1 + Rsq * (B_2 + Rsq *B_3)
+// p_even = Rsq * (B_1 + Rsq * (B_2 + Rsq *B_3))
 { .mfi
-         nop.m 999
-(p0)     fma.s1          sinh_FR_peven_temp2 = sinh_FR_Rsq, sinh_FR_peven_temp1, sinh_FR_B1  
-         nop.i 999
+      nop.m           0
+      fma.s1          f_peven_temp1 = f_Rsq, f_B3, f_B2
+      nop.i           0
 }
-
 // Calculate p_odd
-// f34 = A_2 + Rsq *A_3
-// f35 = A_1 + Rsq * (A_2 + Rsq *A_3)
-// f37 = podd = R + Rcub * (A_1 + Rsq * (A_2 + Rsq *A_3))
-
+// A_2 + Rsq *A_3
+// A_1 + Rsq * (A_2 + Rsq *A_3)
+// podd = R + Rcub * (A_1 + Rsq * (A_2 + Rsq *A_3))
 { .mfi
-         nop.m 999
-(p0)     fma.s1          sinh_FR_podd_temp1 = sinh_FR_Rsq,        sinh_FR_A3,         sinh_FR_A2  
-         nop.i 999 ;;
+      nop.m           0
+      fma.s1          f_podd_temp1 = f_Rsq, f_A3, f_A2
+      nop.i           0
 }
+;;
 
 { .mfi
-(p0)     setf.exp            sinh_FR_N_temp1 = r39            
-         nop.f 999
-         nop.i 999 ;;
+      nop.m           0
+      fma.s1          f_Rcub = f_Rsq, f_R, f0
+      nop.i           0
 }
+;;
 
-{ .mfi
-         nop.m 999
-(p0)     fma.s1          sinh_FR_peven       = sinh_FR_Rsq, sinh_FR_peven_temp2, f0     
-         nop.i 999
-}
+// 
+// If TBL, 
+// Calculate S_hi and S_lo, and C_hi
+// SC_hi_temp = sneg * Tmjhi
+// S_hi = spos * Tjhi - SC_hi_temp
+// S_hi = spos * Tjhi - (sneg * Tmjhi)
+// C_hi = spos * Tjhi + SC_hi_temp
+// C_hi = spos * Tjhi + (sneg * Tmjhi)
 
 { .mfi
-         nop.m 999
-(p0)     fma.s1          sinh_FR_podd_temp2 = sinh_FR_Rsq,        sinh_FR_podd_temp1, sinh_FR_A1  
-         nop.i 999 ;;
+      nop.m           0
+(p6)  fma.s1          f_SC_hi_temp = f_sneg, f_Tmjhi, f0   
+      nop.i           0
 }
+;;
 
+// If TBL, 
+// S_lo_temp3 = sneg * Tmjlo
+// S_lo_temp4 = spos * Tjlo - S_lo_temp3
+// S_lo_temp4 = spos * Tjlo -(sneg * Tmjlo)
 { .mfi
-(p0)     setf.exp            f9  = r32                              
-         nop.f 999
-         nop.i 999 ;;
+      nop.m           0
+(p6)  fma.s1          f_S_lo_temp3 =  f_sneg, f_Tmjlo, f0
+      nop.i           0
 }
+;;
 
 { .mfi
-         nop.m 999
-(p0)     fma.s1          sinh_FR_podd       = sinh_FR_podd_temp2, sinh_FR_Rcub,       sinh_FR_R   
-         nop.i 999
-}
-
-// sinh_GR_mj contains the table offset for -j
-// sinh_GR_j  contains the table offset for +j
-// p6 is true when j <= 0
-
-{ .mlx
-(p0)     setf.exp            sinh_FR_N_temp2 = r40            
-(p0)     movl                r40 = 0x0000000000000020 ;;    
+      nop.m           0
+      fma.s1          f_peven_temp2 = f_Rsq, f_peven_temp1, f_B1
+      nop.i           0
 }
-
 { .mfi
-(p0)     sub                 sinh_GR_mJ = r40,  r36           
-(p0)     fmerge.se           sinh_FR_spos    = sinh_FR_N_temp1, f1 
-(p0)     adds                sinh_GR_J  = 0x20, r36 ;;           
-}
-
-{ .mii
-         nop.m 999
-(p0)     shl                  sinh_GR_mJ = sinh_GR_mJ, 5 ;;   
-(p0)     add                  sinh_AD_mJ = r37, sinh_GR_mJ ;; 
-}
-
-{ .mmi
-         nop.m 999
-(p0)     ldfe                 sinh_FR_Tmjhi = [sinh_AD_mJ],16                 
-(p0)     shl                  sinh_GR_J  = sinh_GR_J, 5 ;;    
+      nop.m           0
+      fma.s1          f_podd_temp2 = f_Rsq, f_podd_temp1, f_A1
+      nop.i           0
 }
+;;
 
+// If EXP, 
+// Compute sgnx * 2^(N-1) * Tjhi and sgnx * 2^(N-1) * Tjlo
 { .mfi
-(p0)     ldfs                 sinh_FR_Tmjlo = [sinh_AD_mJ],16                 
-(p0)     fcmp.lt.unc.s1      p0,p7 = sinh_FR_X,f9                          
-(p0)     add                  sinh_AD_J  = r37, sinh_GR_J ;;  
-}
-
-{ .mmi
-(p0)     ldfe                 sinh_FR_Tjhi  = [sinh_AD_J],16 ;;                  
-(p0)     ldfs                 sinh_FR_Tjlo  = [sinh_AD_J],16                  
-         nop.i 999 ;;
-}
-
-{ .mfb
-         nop.m 999
-(p0)     fmerge.se           sinh_FR_sneg    = sinh_FR_N_temp2, f1 
-(p7)     br.cond.spnt        L(SINH_BY_EXP) ;;                            
+      nop.m           0
+(p7)  fma.s1          f_Tjhi_spos = f_Tjhi, f_spos, f0
+      nop.i           0
 }
-
 { .mfi
-         nop.m 999
-         nop.f 999
-         nop.i 999 ;;
+      nop.m           0
+(p7)  fma.s1          f_Tjlo_spos = f_Tjlo, f_spos, f0
+      nop.i           0
 }
-
-// ******************************************************
-// If NOT branch to EXP
-// ******************************************************
-// Calculate S_hi and S_lo
-// sinh_FR_S_hi_temp = sinh_FR_sneg * sinh_FR_Tmjhi
-// sinh_FR_S_hi = sinh_FR_spos * sinh_FR_Tjhi - sinh_FR_S_hi_temp
-// sinh_FR_S_hi = sinh_FR_spos * sinh_FR_Tjhi - (sinh_FR_sneg * sinh_FR_Tmjlo)
+;;
 
 { .mfi
-         nop.m 999
-(p0)    fma.s1         sinh_FR_S_hi_temp = sinh_FR_sneg, sinh_FR_Tmjhi, f0   
-         nop.i 999 ;;
+      nop.m           0
+(p6)  fms.s1          f_S_hi = f_spos, f_Tjhi, f_SC_hi_temp
+      nop.i           0
 }
+;;
 
 { .mfi
-         nop.m 999
-(p0)    fms.s1         sinh_FR_S_hi = sinh_FR_spos, sinh_FR_Tjhi,  sinh_FR_S_hi_temp              
-         nop.i 999
+      nop.m           0
+(p6)  fma.s1          f_C_hi = f_spos, f_Tjhi, f_SC_hi_temp
+      nop.i           0
 }
-
-// Calculate C_hi
-// sinh_FR_C_hi_temp1 = sinh_FR_sneg * sinh_FR_Tmjhi
-// sinh_FR_C_hi = sinh_FR_spos * sinh_FR_Tjhi + sinh_FR_C_hi_temp1
-
 { .mfi
-         nop.m 999
-(p0)    fma.s1         sinh_FR_C_hi_temp1 = sinh_FR_sneg, sinh_FR_Tmjhi, f0                   
-         nop.i 999 ;;
+      nop.m           0
+(p6)  fms.s1          f_S_lo_temp4 = f_spos, f_Tjlo, f_S_lo_temp3
+      nop.i           0
 }
-
-// sinh_FR_S_lo_temp1 =  sinh_FR_spos * sinh_FR_Tjhi - sinh_FR_S_hi
-// sinh_FR_S_lo_temp2 = -sinh_FR_sneg * sinh_FR_Tmjlo + (sinh_FR_spos * sinh_FR_Tjhi - sinh_FR_S_hi)
-// sinh_FR_S_lo_temp2 = -sinh_FR_sneg * sinh_FR_Tmjlo + (sinh_FR_S_lo_temp1              )
+;;
 
 { .mfi
-         nop.m 999
-(p0)    fms.s1         sinh_FR_S_lo_temp1 =  sinh_FR_spos, sinh_FR_Tjhi,  sinh_FR_S_hi            
-         nop.i 999
+      nop.m           0
+      fma.s1          f_peven = f_Rsq, f_peven_temp2, f0
+      nop.i           0
 }
-
 { .mfi
-         nop.m 999
-(p0)    fma.s1         sinh_FR_C_hi       = sinh_FR_spos, sinh_FR_Tjhi, sinh_FR_C_hi_temp1    
-         nop.i 999 ;;
+      nop.m           0
+      fma.s1          f_podd = f_podd_temp2, f_Rcub, f_R
+      nop.i           0
 }
+;;
+
+// If TBL,
+// S_lo_temp1 =  spos * Tjhi - S_hi
+// S_lo_temp2 = -sneg * Tmjlo + S_lo_temp1
+// S_lo_temp2 = -sneg * Tmjlo + (spos * Tjhi - S_hi)
 
 { .mfi
-         nop.m 999
-(p0)    fnma.s1        sinh_FR_S_lo_temp2 = sinh_FR_sneg, sinh_FR_Tmjhi, sinh_FR_S_lo_temp1       
-         nop.i 999
+      nop.m           0
+(p6)  fms.s1          f_S_lo_temp1 =  f_spos, f_Tjhi,  f_S_hi
+      nop.i           0
 }
-
-// sinh_FR_S_lo_temp1 = sinh_FR_sneg * sinh_FR_Tmjlo
-// sinh_FR_S_lo_temp3 = sinh_FR_spos * sinh_FR_Tjlo - sinh_FR_S_lo_temp1
-// sinh_FR_S_lo_temp3 = sinh_FR_spos * sinh_FR_Tjlo -(sinh_FR_sneg * sinh_FR_Tmjlo)
-// sinh_FR_S_lo = sinh_FR_S_lo_temp3 + sinh_FR_S_lo_temp2
+;;
 
 { .mfi
-         nop.m 999
-(p0)    fma.s1         sinh_FR_S_lo_temp1 =  sinh_FR_sneg, sinh_FR_Tmjlo, f0                  
-         nop.i 999 ;;
+      nop.m           0
+(p6)  fnma.s1         f_S_lo_temp2 = f_sneg, f_Tmjhi, f_S_lo_temp1       
+      nop.i           0
 }
+;;
 
-/////////// BUG FIX fma to fms -TK
+// If EXP,
+// Y_hi = sgnx * 2^(N-1) * Tjhi
+// Y_lo = sgnx * 2^(N-1) * Tjhi * (p_odd + p_even) + sgnx * 2^(N-1) * Tjlo
 { .mfi
-         nop.m 999
-(p0)    fms.s1         sinh_FR_S_lo_temp3 =  sinh_FR_spos, sinh_FR_Tjlo,  sinh_FR_S_lo_temp1  
-         nop.i 999 ;;
+      nop.m           0
+(p7)  fma.s1          f_Y_lo_temp =  f_peven, f1, f_podd
+      nop.i           0
 }
+;;
 
+// If TBL,
+// S_lo = S_lo_temp4 + S_lo_temp2
 { .mfi
-         nop.m 999
-(p0)    fma.s1         sinh_FR_S_lo       =  sinh_FR_S_lo_temp3, f1,   sinh_FR_S_lo_temp2     
-         nop.i 999 ;;
+      nop.m           0
+(p6)  fma.s1          f_S_lo = f_S_lo_temp4, f1, f_S_lo_temp2
+      nop.i           0
 }
+;;
 
+// If TBL,
 // Y_hi = S_hi 
 // Y_lo = C_hi*p_odd + (S_hi*p_even + S_lo)
-// sinh_FR_Y_lo_temp = sinh_FR_S_hi * sinh_FR_peven + sinh_FR_S_lo
-// sinh_FR_Y_lo      = sinh_FR_C_hi * sinh_FR_podd + sinh_FR_Y_lo_temp
-
 { .mfi
-         nop.m 999
-(p0)    fma.s1         sinh_FR_Y_lo_temp  = sinh_FR_S_hi, sinh_FR_peven, sinh_FR_S_lo           
-         nop.i 999 ;;
+      nop.m           0
+(p6)  fma.s1          f_Y_lo_temp = f_S_hi, f_peven, f_S_lo
+      nop.i           0
 }
+;;
 
 { .mfi
-         nop.m 999
-(p0)    fma.s1         sinh_FR_Y_lo       =  sinh_FR_C_hi, sinh_FR_podd, sinh_FR_Y_lo_temp      
-         nop.i 999 ;;
+      nop.m           0
+(p7)  fma.s1          f_Y_lo = f_Tjhi_spos, f_Y_lo_temp, f_Tjlo_spos
+      nop.i           0
 }
-
-// sinh_FR_SINH = Y_hi + Y_lo
-// f8 = answer = sinh_FR_SGNX * sinh_FR_SINH
+;;
 
 // Dummy multiply to generate inexact
 { .mfi
-         nop.m 999
-(p0)     fmpy.s0      sinh_FR_tmp = sinh_FR_all_ones, sinh_FR_all_ones
-         nop.i 999
+      nop.m           0
+      fmpy.s0         f_tmp = f_B2, f_B2
+      nop.i           0
+}
+{ .mfi
+      nop.m           0
+(p6)  fma.s1          f_Y_lo = f_C_hi, f_podd, f_Y_lo_temp
+      nop.i           0
 }
+;;
+
+// f8 = answer = Y_hi + Y_lo
 { .mfi
-         nop.m 999
-(p0)    fma.s1         sinh_FR_SINH       =  sinh_FR_S_hi, f1, sinh_FR_Y_lo    
-         nop.i 999 ;;
+      nop.m           0
+(p7)  fma.s0          f8 = f_Y_lo,  f1, f_Tjhi_spos
+      nop.i           0
 }
+;;
 
+// f8 = answer = Y_hi + Y_lo
 { .mfb
-         nop.m 999
-(p0)    fma.s0       f8 = sinh_FR_SGNX, sinh_FR_SINH,f0                      
-(p0)    br.ret.sptk     b0 ;;                          
+      nop.m           0
+(p6)  fma.s0          f8 = f_Y_lo, f1, f_S_hi
+      br.ret.sptk     b0      // Exit for SINH_BY_TBL and SINH_BY_EXP
 }
+;;
 
 
-L(SINH_BY_EXP): 
-
-// When p7 is true,  we know that an overflow is not going to happen
-// When p7 is false, we must check for possible overflow
-// p7 is the over_SAFE flag
-// Y_hi = Tjhi
-// Y_lo = Tjhi * (p_odd + p_even) +Tjlo
-// Scale = sign * 2^(N-1)
-// sinh_FR_Y_lo =  sinh_FR_Tjhi * (sinh_FR_peven + sinh_FR_podd)
-// sinh_FR_Y_lo =  sinh_FR_Tjhi * (sinh_FR_Y_lo_temp      )
+// Here if 0 < |x| < 0.25
+SINH_BY_POLY: 
+{ .mmf
+      ldfe            f_P6 = [r_ad2e],16
+      ldfe            f_P5 = [r_ad2o],16
+      nop.f           0
+}
+;;
 
-{ .mfi
-         nop.m 999
-(p0)   fma.s1            sinh_FR_Y_lo_temp =  sinh_FR_peven, f1, sinh_FR_podd                   
-         nop.i 999
+{ .mmi
+      ldfe            f_P4 = [r_ad2e],16
+      ldfe            f_P3 = [r_ad2o],16
+      nop.i           0
 }
+;;
 
-// Now we are in EXP. This is the only path where an overflow is possible
-// but not for certain. So this is the only path where over_SAFE has any use.
-// r34 still has N-1
-// There is a danger of double-extended overflow   if N-1 > 16382 = 0x3ffe
-// There is a danger of double overflow            if N-1 > 0x3fe = 1022
-{ .mlx
-         nop.m 999
-(p0)   movl                r32          = 0x0000000000003ffe ;;                       
+{ .mmi
+      ldfe            f_P2 = [r_ad2e],16
+      ldfe            f_P1 = [r_ad2o],16                 
+      nop.i           0
 }
+;;
 
 { .mfi
-(p0)   cmp.gt.unc          p0,p7        = r34, r32                                 
-(p0)   fmerge.s          sinh_FR_SCALE     = sinh_FR_SGNX, sinh_FR_spos                         
-         nop.i 999 ;;
+      nop.m           0
+      fma.s1          f_X3 = f_NORM_X, f_X2, f0
+      nop.i           0
 }
-
 { .mfi
-         nop.m 999
-(p0)   fma.s1            sinh_FR_Y_lo      =  sinh_FR_Tjhi,  sinh_FR_Y_lo_temp, sinh_FR_Tjlo    
-         nop.i 999 ;;
+      nop.m           0
+      fma.s1          f_X4 = f_X2, f_X2, f0
+      nop.i           0
 }
+;;
 
-// f8 = answer = scale * (Y_hi + Y_lo)
 { .mfi
-         nop.m 999
-(p0)   fma.s1            sinh_FR_SINH_temp = sinh_FR_Y_lo,  f1, sinh_FR_Tjhi       
-         nop.i 999 ;;
+      nop.m           0
+      fma.s1          f_poly65 = f_X2, f_P6, f_P5
+      nop.i           0
 }
-
 { .mfi
-         nop.m 999
-(p0)   fma.s0          f44          = sinh_FR_SCALE,  sinh_FR_SINH_temp, f0      
-         nop.i 999 ;;
+      nop.m           0
+      fma.s1          f_poly43 = f_X2, f_P4, f_P3
+      nop.i           0
 }
+;;
 
-// Dummy multiply to generate inexact
 { .mfi
-         nop.m 999
-(p7)     fmpy.s0      sinh_FR_tmp = sinh_FR_all_ones, sinh_FR_all_ones
-         nop.i 999 ;;
+      nop.m           0
+      fma.s1          f_poly21 = f_X2, f_P2, f_P1
+      nop.i           0
 }
+;;
 
-// If over_SAFE is set, return
-{ .mfb
-       nop.m 999
-(p7)   fmerge.s            f8 = f44,f44                                            
-(p7)   br.ret.sptk     b0 ;;                          
+{ .mfi
+      nop.m           0
+      fma.s1          f_poly6543 = f_X4, f_poly65, f_poly43
+      nop.i           0
 }
-
-// Else see if we overflowed
-// S0 user supplied status
-// S2 user supplied status + WRE + TD  (Overflows)
-// If WRE is set then an overflow will not occur in EXP.
-// The input value that would cause a register (WRE) value to overflow is about 2^15
-// and this input would go into the HUGE path.
-// Answer with WRE is in f43.
+;;
 
 { .mfi
-         nop.m 999
-(p0)   fsetc.s2            0x7F,0x42                                               
-         nop.i 999;;
+      nop.m           0
+      fma.s1          f_poly6to1 = f_X4, f_poly6543, f_poly21
+      nop.i           0
 }
+;;
 
+// Dummy multiply to generate inexact
 { .mfi
-         nop.m 999
-(p0)   fma.s2            f43  = sinh_FR_SCALE,  sinh_FR_SINH_temp, f0                      
-         nop.i 999 ;;
+      nop.m           0
+      fmpy.s0         f_tmp = f_P6, f_P6
+      nop.i           0
 }
-
-// 13FFF => 13FFF -FFFF = 4000(true)
-// 4000 + 3FFF = 7FFF, which is 1 more that the exponent of the largest
-// long double (7FFE). So 0 13FFF 8000000000000000  is one ulp more than
-// largest long double in register bias
-// Now  set p8 if the answer with WRE is greater than or equal this value
-// Also set p9 if the answer with WRE is less than or equal to negative this value
-
-{ .mlx
-         nop.m 999
-(p0)   movl                r32     = 0x00000000013FFF ;;                              
+{ .mfb
+      nop.m           0
+      fma.s0          f8 = f_poly6to1, f_X3, f_NORM_X
+      br.ret.sptk     b0                // Exit SINH_BY_POLY
 }
+;;
 
-{ .mmf
-         nop.m 999
-(p0)   setf.exp            f41 = r32                                               
-(p0)   fsetc.s2            0x7F,0x40 ;;                                               
-}
 
-{ .mfi
-         nop.m 999
-(p0)   fcmp.ge.unc.s1 p8, p0 =  f43, f41                                           
-         nop.i 999
+// Here if x denorm or unorm
+SINH_DENORM:
+// Determine if x really a denorm and not a unorm
+{ .mmf
+      getf.exp        r_signexp_x = f_NORM_X
+      mov             r_exp_denorm = 0x0c001   // Real denorms have exp < this
+      fmerge.s        f_ABS_X = f0, f_NORM_X
 }
+;;
 
 { .mfi
-         nop.m 999
-(p0)   fmerge.ns           f42 = f41, f41                                          
-         nop.i 999 ;;
+      nop.m           0
+      fcmp.eq.s0      p10,p0 = f8, f0  // Set denorm flag
+      nop.i           0
 }
+;;
 
-// The error tag for overflow is 126
-{ .mii
-         nop.m 999
-         nop.i 999 ;;
-(p8)   mov                 r47 = 126 ;;                                               
+// Set p8 if really a denorm
+{ .mmi
+      and             r_exp_x = r_exp_mask, r_signexp_x
+;;
+      cmp.lt          p8,p9 = r_exp_x, r_exp_denorm
+      nop.i           0
 }
+;;
 
+// Identify denormal operands.
 { .mfb
-         nop.m 999
-(p0)   fcmp.le.unc.s1      p9, p0 =  f43, f42                                      
-(p8)   br.cond.spnt L(SINH_ERROR_SUPPORT) ;;
-}
-
-{ .mii
-         nop.m 999
-         nop.i 999 ;;
-(p9)   mov                 r47 = 126                                               
-}
-
-{ .mib
-         nop.m 999
-         nop.i 999
-(p9)   br.cond.spnt L(SINH_ERROR_SUPPORT) ;;
+      nop.m           0
+(p8)  fcmp.ge.unc.s1  p6,p7 = f8, f0   // Test sign of denorm
+(p9)  br.cond.sptk    SINH_COMMON    // Return to main path if x unorm
 }
+;;
 
-// Dummy multiply to generate inexact
 { .mfi
-         nop.m 999
-(p0)     fmpy.s0      sinh_FR_tmp = sinh_FR_all_ones, sinh_FR_all_ones
-         nop.i 999 ;;
+      nop.m           0
+(p6)  fma.s0          f8 =  f8,f8,f8  // If x +denorm, result=x+x^2
+      nop.i           0 
 }
-
 { .mfb
-         nop.m 999
-(p0)   fmerge.s            f8 = f44,f44                                            
-(p0)   br.ret.sptk     b0 ;;                          
+      nop.m           0
+(p7)  fnma.s0         f8 =  f8,f8,f8  // If x -denorm, result=x-x^2
+      br.ret.sptk     b0            // Exit if x denorm
 }
+;;
 
-L(SINH_HUGE): 
-
-// for SINH_HUGE, put 24000 in exponent; take sign from input; add 1
-// SAFE: SAFE is always 0 for HUGE
 
-{ .mlx
-         nop.m 999
-(p0)   movl                r32 = 0x0000000000015dbf ;;                                
+// Here if |x| >= overflow limit
+SINH_HUGE: 
+// for SINH_HUGE, put 24000 in exponent; take sign from input
+{ .mmi
+      mov             r_exp_huge = 0x15dbf
+;;
+      setf.exp        f_huge  = r_exp_huge
+      nop.i           0
 }
+;;
 
+.pred.rel "mutex",p8,p9
 { .mfi
-(p0)   setf.exp            f9  = r32                                               
-         nop.f 999
-         nop.i 999 ;;
+      alloc           r32 = ar.pfs,0,5,4,0                  
+(p8)  fnma.s1         f_signed_hi_lo = f_huge, f1, f1
+      nop.i           0
 }
-
 { .mfi
-         nop.m 999
-(p0)   fma.s1              sinh_FR_signed_hi_lo = sinh_FR_SGNX, f9, f1                       
-         nop.i 999 ;;
+      nop.m           0
+(p9)  fma.s1          f_signed_hi_lo = f_huge, f1, f1
+      nop.i           0
 }
+;;
 
 { .mfi
-         nop.m 999
-(p0)   fma.s0            f44 = sinh_FR_signed_hi_lo,  f9, f0                          
-(p0)   mov                 r47 = 126                                               
-}
-.endp sinhl
-ASM_SIZE_DIRECTIVE(sinhl)
-#ifdef _LIBC
-ASM_SIZE_DIRECTIVE(__ieee754_sinhl)
-#endif
-
-// Stack operations when calling error support.
-//       (1)               (2)                          (3) (call)              (4)
-//   sp   -> +          psp -> +                     psp -> +                   sp -> +
-//           |                 |                            |                         |
-//           |                 | <- GR_Y               R3 ->| <- GR_RESULT            | -> f8
-//           |                 |                            |                         |
-//           | <-GR_Y      Y2->|                       Y2 ->| <- GR_Y                 |
-//           |                 |                            |                         |
-//           |                 | <- GR_X               X1 ->|                         |
-//           |                 |                            |                         |
-//  sp-64 -> +          sp ->  +                     sp ->  +                         +
-//    save ar.pfs          save b0                                               restore gp
-//    save gp                                                                    restore ar.pfs
-
-.proc __libm_error_region
-__libm_error_region:
-L(SINH_ERROR_SUPPORT):
+      nop.m           0
+      fma.s0          f_pre_result = f_signed_hi_lo, f_huge, f0
+      mov             GR_Parameter_TAG = 126
+}
+;;
+
+GLOBAL_IEEE754_END(sinhl)
+
+LOCAL_LIBM_ENTRY(__libm_error_region)
 .prologue
 
-// (1)
 { .mfi
-        add   GR_Parameter_Y=-32,sp             // Parameter 2 value
+        add   GR_Parameter_Y=-32,sp              // Parameter 2 value
         nop.f 0
 .save   ar.pfs,GR_SAVE_PFS
-        mov  GR_SAVE_PFS=ar.pfs                 // Save ar.pfs
+        mov  GR_SAVE_PFS=ar.pfs                  // Save ar.pfs
 }
 { .mfi
 .fframe 64
-        add sp=-64,sp                          // Create new stack
+        add sp=-64,sp                            // Create new stack
         nop.f 0
-        mov GR_SAVE_GP=gp                      // Save gp
+        mov GR_SAVE_GP=gp                        // Save gp
 };;
 
-
-// (2)
 { .mmi
-        stfe [GR_Parameter_Y] = f0,16         // STORE Parameter 2 on stack
-        add GR_Parameter_X = 16,sp            // Parameter 1 address
+        stfe [GR_Parameter_Y] = f0,16            // STORE Parameter 2 on stack
+        add GR_Parameter_X = 16,sp               // Parameter 1 address
 .save   b0, GR_SAVE_B0
-        mov GR_SAVE_B0=b0                     // Save b0
+        mov GR_SAVE_B0=b0                        // Save b0
 };;
 
 .body
-// (3)
 { .mib
-        stfe [GR_Parameter_X] = f8                     // STORE Parameter 1 on stack
+        stfe [GR_Parameter_X] = f8               // STORE Parameter 1 on stack
         add   GR_Parameter_RESULT = 0,GR_Parameter_Y   // Parameter 3 address
         nop.b 0                            
 }
 { .mib
-        stfe [GR_Parameter_Y] = f44                    // STORE Parameter 3 on stack
+        stfe [GR_Parameter_Y] = f_pre_result     // STORE Parameter 3 on stack
         add   GR_Parameter_Y = -16,GR_Parameter_Y
-        br.call.sptk b0=__libm_error_support#          // Call error handling function
+        br.call.sptk b0=__libm_error_support#    // Call error handling function
 };;
+
 { .mmi
-        nop.m 0
-        nop.m 0
         add   GR_Parameter_RESULT = 48,sp
+        nop.m 0
+        nop.i 0
 };;
 
-// (4)
 { .mmi
-        ldfe  f8 = [GR_Parameter_RESULT]       // Get return result off stack
+        ldfe  f8 = [GR_Parameter_RESULT]         // Get return result off stack
 .restore sp
-        add   sp = 64,sp                       // Restore stack pointer
-        mov   b0 = GR_SAVE_B0                  // Restore return address
+        add   sp = 64,sp                         // Restore stack pointer
+        mov   b0 = GR_SAVE_B0                    // Restore return address
 };;
+
 { .mib
-        mov   gp = GR_SAVE_GP                  // Restore gp
-        mov   ar.pfs = GR_SAVE_PFS             // Restore ar.pfs
-        br.ret.sptk     b0                     // Return
+        mov   gp = GR_SAVE_GP                    // Restore gp
+        mov   ar.pfs = GR_SAVE_PFS               // Restore ar.pfs
+        br.ret.sptk     b0                       // Return
 };;
 
-.endp __libm_error_region
-ASM_SIZE_DIRECTIVE(__libm_error_region)
+LOCAL_LIBM_END(__libm_error_region)
+
 
 .type   __libm_error_support#,@function
 .global __libm_error_support#
diff --git a/sysdeps/ia64/fpu/e_sqrt.S b/sysdeps/ia64/fpu/e_sqrt.S
index dd057f58ee..0e208b3de1 100644
--- a/sysdeps/ia64/fpu/e_sqrt.S
+++ b/sysdeps/ia64/fpu/e_sqrt.S
@@ -1,11 +1,11 @@
 .file "sqrt.s"
 
-// Copyright (C) 2000, 2001, Intel Corporation
+
+// Copyright (c) 2000 - 2003, Intel Corporation
 // All rights reserved.
 // 
-// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story,
-// and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation.
-//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
+// 
 // Redistribution and use in source and binary forms, with or without
 // modification, are permitted provided that the following conditions are
 // met:
@@ -20,7 +20,7 @@
 // * The name of Intel Corporation may not be used to endorse or promote
 // products derived from this software without specific prior written
 // permission.
-//
+
 // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
 // "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
@@ -35,27 +35,28 @@
 // 
 // Intel Corporation is the author of this code, and requests that all
 // problem reports or change requests be submitted to it directly at 
-// http://developer.intel.com/opensource.
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
 //
-// ********************************************************************
+//********************************************************************
 // History
-// ********************************************************************
-// 2/02/00  Initial version
-// 4/04/00  Unwind support added
-// 8/15/00  Bundle added after call to __libm_error_support to properly
+//********************************************************************
+// 02/02/00 Initial version
+// 04/04/00 Unwind support added
+// 08/15/00 Bundle added after call to __libm_error_support to properly
 //          set [the previously overwritten] GR_Parameter_RESULT.
+// 02/10/03 Reordered header: .section, .global, .proc, .align
 //
-// ********************************************************************
+//********************************************************************
 //
 // Function:   Combined sqrt(x), where
 //                        _
 //             sqrt(x) = |x, for double precision x values
 //
-// ********************************************************************
+//********************************************************************
 //
 // Accuracy:       Correctly Rounded
 //
-// ********************************************************************
+//********************************************************************
 //
 // Resources Used:
 //
@@ -68,7 +69,7 @@
 //
 //    Predicate Registers:      p6, p7, p8
 //
-// *********************************************************************
+//*********************************************************************
 //
 // IEEE Special Conditions:
 //
@@ -78,15 +79,13 @@
 //    sqrt(+/-0) = +/-0
 //    sqrt(negative) = QNaN and error handling is called
 //
-// *********************************************************************
+//*********************************************************************
 //
 // Implementation:
 //
 //  Modified Newton-Raphson Algorithm
 //
-// *********************************************************************
-
-#include "libm_support.h"
+//*********************************************************************
 
 GR_SAVE_PFS          = r33
 GR_SAVE_B0           = r34
@@ -98,19 +97,7 @@ GR_Parameter_RESULT  = r39
 
 
 .section .text
-.proc sqrt#
-.global sqrt#
-.align 64 
-
-sqrt:
-#ifdef _LIBC
-.global __sqrt
-.type __sqrt,@function
-__sqrt:
-.global __ieee754_sqrt
-.type __ieee754_sqrt,@function
-__ieee754_sqrt:
-#endif
+GLOBAL_IEEE754_ENTRY(sqrt)
 { .mfi
   alloc r32= ar.pfs,0,5,4,0
   frsqrta.s0 f7,p6=f8
@@ -255,7 +242,7 @@ __ieee754_sqrt:
 
 { .mfb
   nop.m 0
-  (p0) mov   f8 = f7
+       mov   f8 = f7
   (p8) br.ret.sptk b0 ;;
 }
 { .mfb
@@ -264,13 +251,7 @@ __ieee754_sqrt:
   (p7) br.cond.sptk __libm_error_region ;;
 }
 // END DOUBLE PRECISION MINIMUM LATENCY SQUARE ROOT ALGORITHM
-.endp sqrt#
-ASM_SIZE_DIRECTIVE(sqrt)
-#ifdef _LIBC
-ASM_SIZE_DIRECTIVE(__sqrt)
-ASM_SIZE_DIRECTIVE(__ieee754_sqrt)
-#endif
-
+GLOBAL_IEEE754_END(sqrt)
 // Stack operations when calling error support.
 //       (1)               (2)                          (3) (call)              (4)
 //   sp   -> +          psp -> +                     psp -> +                   sp -> +
@@ -286,8 +267,7 @@ ASM_SIZE_DIRECTIVE(__ieee754_sqrt)
 //    save gp                                                                    restore ar.pfs
 
 
-.proc __libm_error_region
-__libm_error_region:
+LOCAL_LIBM_ENTRY(__libm_error_region)
 
 //
 // This branch includes all those special values that are not negative,
@@ -352,8 +332,9 @@ __libm_error_region:
         br.ret.sptk     b0                     // Return
 };;
 
-.endp __libm_error_region
-ASM_SIZE_DIRECTIVE(__libm_error_region)
+LOCAL_LIBM_END(__libm_error_region)
+
+
 
 
 .type   __libm_error_support#,@function
diff --git a/sysdeps/ia64/fpu/e_sqrtf.S b/sysdeps/ia64/fpu/e_sqrtf.S
index 1799845d6d..bee0df7414 100644
--- a/sysdeps/ia64/fpu/e_sqrtf.S
+++ b/sysdeps/ia64/fpu/e_sqrtf.S
@@ -1,10 +1,10 @@
 .file "sqrtf.s"
 
-// Copyright (C) 2000, 2001, Intel Corporation
+
+// Copyright (c) 2000 - 2003, Intel Corporation
 // All rights reserved.
-// 
-// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story,
-// and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
 //
 // Redistribution and use in source and binary forms, with or without
 // modification, are permitted provided that the following conditions are
@@ -20,7 +20,7 @@
 // * The name of Intel Corporation may not be used to endorse or promote
 // products derived from this software without specific prior written
 // permission.
-//
+
 // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
 // "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
@@ -35,27 +35,29 @@
 // 
 // Intel Corporation is the author of this code, and requests that all
 // problem reports or change requests be submitted to it directly at 
-// http://developer.intel.com/opensource.
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
 //
-// *********************************************************************
+//*********************************************************************
 // History:
 //
-// 2/02/00  Initial version
-// 4/04/00  Unwind support added
-// 8/15/00  Bundle added after call to __libm_error_support to properly
+// 02/02/00 Initial version
+// 04/04/00 Unwind support added
+// 08/15/00 Bundle added after call to __libm_error_support to properly
 //          set [the previously overwritten] GR_Parameter_RESULT.
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 02/10/03 Reordered header: .section, .global, .proc, .align
 //
-// *********************************************************************
+//*********************************************************************
 //
 // Function:   Combined sqrtf(x), where
 //                         _
 //             sqrtf(x) = |x, for single precision x values
 //
-// ********************************************************************
+//********************************************************************
 //
 // Accuracy:       Correctly Rounded 
 //
-// ********************************************************************
+//********************************************************************
 //
 // Resources Used:
 //
@@ -68,7 +70,7 @@
 //
 //    Predicate Registers:      p6, p7, p8
 //
-// ********************************************************************
+//********************************************************************
 //
 // IEEE Special Conditions:
 //
@@ -78,15 +80,14 @@
 //    sqrtf(+/-0) = +/-0 
 //    sqrtf(negative) = QNaN and error handling is called
 //
-// ********************************************************************
+//********************************************************************
 //
 // Implementation:
 //
 //  Modified Newton-Raphson Algorithm
 //
-// ********************************************************************
+//********************************************************************
 
-#include "libm_support.h"
 
 GR_SAVE_B0                    = r34
 GR_SAVE_PFS                   = r33
@@ -102,21 +103,8 @@ FR_Y             = f0
 FR_RESULT        = f8
 
 
-
 .section .text
-.proc sqrtf#
-.global sqrtf#
-.align 64 
-
-sqrtf: 
-#ifdef _LIBC
-.global __sqrtf
-.type __sqrtf,@function
-__sqrtf:
-.global __ieee754_sqrtf
-.type __ieee754_sqrtf,@function
-__ieee754_sqrtf:
-#endif
+GLOBAL_IEEE754_ENTRY(sqrtf)
 { .mlx
   // BEGIN SINGLE PRECISION MINIMUM LATENCY SQUARE ROOT ALGORITHM
   alloc r32= ar.pfs,0,5,4,0
@@ -197,7 +185,7 @@ __ieee754_sqrtf:
   // Step (10)
   // d1 = a - S1 * S1 in f9
   (p6) fnma.s1 f9=f7,f7,f8
-  nop.i 0;;;
+  nop.i 0;;
 } { .mfb
   nop.m 0
   // Step (11)
@@ -207,27 +195,20 @@ __ieee754_sqrtf:
 // END SINGLE PRECISION MINIMUM LATENCY SQUARE ROOT ALGORITHM
 } { .mfb
   nop.m 0
-  (p0) mov   f8 = f7
+       mov   f8 = f7
   (p8) br.ret.sptk b0 ;;
 }
 //
 // This branch includes all those special values that are not negative,
 // with the result equal to frcpa(x)
 //
-.endp sqrtf
-ASM_SIZE_DIRECTIVE(sqrtf)
-#ifdef _LIBC
-ASM_SIZE_DIRECTIVE(__sqrtf)
-ASM_SIZE_DIRECTIVE(__ieee754_sqrtf)
-#endif
-
+GLOBAL_IEEE754_END(sqrtf)
 
-.proc __libm_error_region
-__libm_error_region:
+LOCAL_LIBM_ENTRY(__libm_error_region)
 .prologue
 { .mii
         add   GR_Parameter_Y=-32,sp             // Parameter 2 value
-(p0)    mov   GR_Parameter_TAG = 50                   
+        mov   GR_Parameter_TAG = 50                   
 .save   ar.pfs,GR_SAVE_PFS
         mov  GR_SAVE_PFS=ar.pfs                 // Save ar.pfs
 }
@@ -271,8 +252,7 @@ __libm_error_region:
         br.ret.sptk     b0                     // Return
 };; 
 
-.endp __libm_error_region
-ASM_SIZE_DIRECTIVE(__libm_error_region)
+LOCAL_LIBM_END(__libm_error_region)
 
 
 .type   __libm_error_support#,@function
diff --git a/sysdeps/ia64/fpu/e_sqrtl.S b/sysdeps/ia64/fpu/e_sqrtl.S
index e41148243a..ec1475626d 100644
--- a/sysdeps/ia64/fpu/e_sqrtl.S
+++ b/sysdeps/ia64/fpu/e_sqrtl.S
@@ -1,10 +1,10 @@
 .file "sqrtl.s"
 
-// Copyright (C) 2000, 2001, Intel Corporation
+
+// Copyright (c) 2000 - 2003, Intel Corporation
 // All rights reserved.
-// 
-// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story,
-// and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
 //
 // Redistribution and use in source and binary forms, with or without
 // modification, are permitted provided that the following conditions are
@@ -20,7 +20,7 @@
 // * The name of Intel Corporation may not be used to endorse or promote
 // products derived from this software without specific prior written
 // permission.
-//
+
 // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
 // "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
@@ -35,23 +35,25 @@
 // 
 // Intel Corporation is the author of this code, and requests that all
 // problem reports or change requests be submitted to it directly at 
-// http://developer.intel.com/opensource.
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
 //
-// ********************************************************************
+//********************************************************************
 //
 // History:
-// 2/02/00 (hand-optimized)
-// 4/04/00  Unwind support added
-// 8/15/00  Bundle added after call to __libm_error_support to properly
+// 02/02/00 (hand-optimized)
+// 04/04/00 Unwind support added
+// 08/15/00 Bundle added after call to __libm_error_support to properly
 //          set [the previously overwritten] GR_Parameter_RESULT.
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 02/10/03 Reordered header: .section, .global, .proc, .align
 //
-// ********************************************************************
+//********************************************************************
 //
 // Function:   Combined sqrtl(x), where
 //                         _
 //             sqrtl(x) = |x, for double-extended precision x values
 //
-// ********************************************************************
+//********************************************************************
 //
 // Resources Used:
 //
@@ -64,7 +66,7 @@
 //
 //    Predicate Registers:      p6, p7, p8
 //
-// ********************************************************************
+//********************************************************************
 //
 // IEEE Special Conditions:
 //
@@ -74,15 +76,13 @@
 //    sqrtl(+/-0) = +/-0
 //    sqrtl(negative) = QNaN and error handling is called
 //
-// ********************************************************************
+//********************************************************************
 //
 // Implementation:
 //
 //  Modified Newton-Raphson Algorithm
 //
-// ********************************************************************
-
-#include "libm_support.h"
+//********************************************************************
 
 GR_SAVE_PFS         = r33
 GR_SAVE_B0          = r34
@@ -97,19 +97,7 @@ FR_Y                = f0
 FR_RESULT           = f8
 
 .section .text
-.proc sqrtl#
-.global sqrtl#
-.align 64
-
-sqrtl:
-#ifdef _LIBC
-.global __sqrtl
-.type __sqrtl,@function
-__sqrtl:
-.global __ieee754_sqrtl
-.type __ieee754_sqrtl,@function
-__ieee754_sqrtl:
-#endif
+GLOBAL_IEEE754_ENTRY(sqrtl)
 { .mlx
 alloc r32= ar.pfs,0,5,4,0
   // exponent of +1/2 in r2
@@ -151,7 +139,7 @@ alloc r32= ar.pfs,0,5,4,0
 } 
 { .mfi
   nop.m 0
-  (p0) mov f15=f8
+       mov f15=f8
   nop.i 0;;
 } { .mfi
   nop.m 0
@@ -221,8 +209,8 @@ alloc r32= ar.pfs,0,5,4,0
   (p6) br.ret.sptk b0 ;;
 }
 { .mfb
-  (p0) mov GR_Parameter_TAG    = 48
-  (p0) mov   f8 = f7
+       mov GR_Parameter_TAG    = 48
+       mov   f8 = f7
   (p8) br.ret.sptk b0 ;;
 }
 //
@@ -232,15 +220,8 @@ alloc r32= ar.pfs,0,5,4,0
 
 
 // END DOUBLE EXTENDED PRECISION MINIMUM LATENCY SQUARE ROOT ALGORITHM
-.endp sqrtl#
-ASM_SIZE_DIRECTIVE(sqrtl)
-#ifdef _LIBC
-ASM_SIZE_DIRECTIVE(__sqrtl)
-ASM_SIZE_DIRECTIVE(__ieee754_sqrtl)
-#endif
-
-.proc __libm_error_region
-__libm_error_region:
+GLOBAL_IEEE754_END(sqrtl)
+LOCAL_LIBM_ENTRY(__libm_error_region)
 .prologue
 { .mfi
         add   GR_Parameter_Y=-32,sp             // Parameter 2 value
@@ -288,7 +269,6 @@ __libm_error_region:
         br.ret.sptk     b0                     // Return
 };;
 
-.endp __libm_error_region
-ASM_SIZE_DIRECTIVE(__libm_error_region)
+LOCAL_LIBM_END(__libm_error_region#)
 .type   __libm_error_support#,@function
 .global __libm_error_support#
diff --git a/sysdeps/ia64/fpu/gen_import_file_list b/sysdeps/ia64/fpu/gen_import_file_list
new file mode 100644
index 0000000000..a02bb3155b
--- /dev/null
+++ b/sysdeps/ia64/fpu/gen_import_file_list
@@ -0,0 +1,80 @@
+#!/bin/sh
+
+libm_dir=$1
+
+import() {
+	# $1 = name
+	# $2 = source file-name
+	# $3 = destination file-name
+	echo "$1 $libm_dir/$2 $3"
+}
+
+import_c() {
+	# $1 = name
+	# $2 = source file-name
+	# $3 = destination file-name
+	echo "$1 $libm_dir/$2 $3"
+}
+
+import_c DUMMY libm_support.h libm_support.h
+import_c DUMMY libm_error.c libm_error.c
+import_c scalblnf scalblnf.c s_scalblnf.c
+
+for f in acos acosh asin atanh cosh exp2 exp10 fmod log2 pow remainder \
+	 scalb sinh sqrt; do
+ for t in "" f l; do
+  import $f$t $f$t.s e_$f$t.S
+ done
+done
+
+for f in atan2 exp; do
+ for t in "" f; do
+  import $f$t $f$t.s e_$f$t.S
+ done
+done
+import "atan" atan.s s_atan.S
+import "atanf" atanf.s s_atanf.S
+import "atan(2)?l" atanl.s s_atanl.S
+import "exp(m1)?l" expl_m1.s s_expm1l.S
+
+for t in "" f l; do
+  import "log(10)?$t" log$t.s e_log$t.S
+  import tgamma$t tgamma$t.s w_tgamma$t.S
+  import "(hypot|cabs)$t" hypot$t.s e_hypot$t.S
+done
+
+for f in asinh cbrt ceil erf erfc fabs floor \
+	 ilogb log1p logb modf nearbyint nextafter nexttoward \
+	 rint round significand fdim fma fmax tanh trunc; do
+ for t in "" f l; do
+  import $f$t $f$t.s s_$f$t.S
+ done
+done
+
+for t in "" f l; do
+  import "(tan|cot)$t" tancot$t.s s_tan$t.S
+done
+
+for t in "" f l; do
+  import "(sin|cos)$t" sincos$t.s s_cos$t.S
+  import_c frexp$t frexp$t.c s_frexp$t.c
+  import_c ldexp$t ldexp$t.c s_ldexp$t.c
+  import_c scalbn$t scalbn$t.c s_scalbn$t.c
+done
+
+import expm1 exp_m1.s s_expm1.S
+import expm1f expf_m1.s s_expm1f.S
+
+for f in frexp frexpf frexpl reduce; do
+  import __libm_$f libm_$f.s libm_$f.S
+done
+
+for t in "" f l; do
+  import __libm_ldexp$t libm_ldexp$t.s s_libm_ldexp$t.S
+  import "(__libm_)?(sincos|cis)$t" libm_sincos$t.s libm_sincos$t.S
+  import __libm_lgamma$t libm_lgamma$t.s libm_lgamma$t.S
+  import __libm_scalbn$t libm_scalbn$t.s s_libm_scalbn$t.S
+done
+import __libm_scalblnf libm_scalblnf.s libm_scalblnf.S
+import "__libm_(sin|cos|sincos)_large" libm_sincos_large.s \
+	libm_sincos_large.S
diff --git a/sysdeps/ia64/fpu/import_check b/sysdeps/ia64/fpu/import_check
new file mode 100644
index 0000000000..21176f578d
--- /dev/null
+++ b/sysdeps/ia64/fpu/import_check
@@ -0,0 +1,81 @@
+#!/bin/sh
+
+objdir="$1"
+
+num_errors=0
+
+check_syms() {
+    global_count=0
+    entry_count=0
+    while read value type name; do
+	if [ $value = "U" ]; then
+	    name=$type
+	    # undefined symbols must start with double-underscore
+	    if [ $(expr $name : '\(..\)') != "__" ]; then
+		echo -e "$(basename $file):\tError: undefined reference $name doesn't start with \"__\"."
+		num_errors=$(($num_errors + 1))
+	    fi
+	    continue
+	fi
+
+	case "$type" in
+	    W)
+		entry_count=$(($entry_count + 1))
+		;;
+	    *)
+		entry_count=$(($entry_count + 1))
+		if [ "$(expr $name : '\(..\)')" != "__" ]; then
+		    global_count=$(($global_count + 1))
+		fi
+		;;
+	esac
+    done
+    if [ $entry_count -gt 1 -a $global_count -gt 0 ]; then
+	echo -e "$(basename $file):\tError: detected $global_count strong " \
+	    "global and $entry_count entry-points."
+	num_errors=$(($num_errors + 1))
+    fi
+}
+
+check_file() {
+    file=$1
+    size=$(readelf -S $file | \
+	(sz=0; while read line; do
+		if echo $line | fgrep -q " .rodata"; then
+		    read sz rest
+		    break
+		fi
+	    done;
+	    printf "%d" 0x$sz))
+
+    summands=$(readelf -s $file | fgrep " OBJECT " | tr -s ' ' |
+	cut -f4 -d' ' | sed 's,$,+,')0
+    sum=$(($summands))
+    if [ $sum != $size ]; then
+	echo -e "$(basename $file):\tError: sum of objects=$sum bytes, .rodata size=$size bytes"
+	num_errors=$(($num_errors + 1))
+    fi
+
+    tmp=$(tempfile -p syms)
+    nm -g $file > $tmp
+    check_syms < $tmp
+}
+
+do_checks() {
+    echo "Note: 1 error expected in w_tgammal.o due to 64-byte alignment-padding."
+    while read func_pattern src_file dst_file; do
+	if [ "$(expr $dst_file : '.*\(S\)$')" = "S" ]; then
+	    objfile=$(expr $dst_file : '\(.*\)[.]S$')
+	    check_file $objdir/$objfile.o
+	fi
+    done
+}
+
+do_checks < import_file_list
+
+if [ $num_errors -gt 0 ]; then
+    echo "FAILURE: Detected $num_errors error(s)."
+    exit 1
+fi
+echo SUCCESS
+exit 0
diff --git a/sysdeps/ia64/fpu/import_diffs b/sysdeps/ia64/fpu/import_diffs
new file mode 100644
index 0000000000..147280d5fd
--- /dev/null
+++ b/sysdeps/ia64/fpu/import_diffs
@@ -0,0 +1,7 @@
+#!/bin/sh
+do_diffs() {
+    while read func_pattern src_file dst_file; do
+	diff -up $src_file $dst_file
+    done
+}
+do_diffs < import_file_list
diff --git a/sysdeps/ia64/fpu/import_file.awk b/sysdeps/ia64/fpu/import_file.awk
new file mode 100644
index 0000000000..c6335dc1df
--- /dev/null
+++ b/sysdeps/ia64/fpu/import_file.awk
@@ -0,0 +1,148 @@
+BEGIN {
+	getline;
+	while (!match($0, "^/[/*] static char cvs_id")) {
+		print;
+		getline;
+	}
+	getline;
+	while (!match($0, "^// WARRANTY DISCLAIMER")) {
+		print;
+		getline;
+	}
+	getline;
+	printf								      \
+"// Redistribution and use in source and binary forms, with or without\n"     \
+"// modification, are permitted provided that the following conditions are\n" \
+"// met:\n"								      \
+"//\n"									      \
+"// * Redistributions of source code must retain the above copyright\n"	      \
+"// notice, this list of conditions and the following disclaimer.\n"	      \
+"//\n"									      \
+"// * Redistributions in binary form must reproduce the above copyright\n"    \
+"// notice, this list of conditions and the following disclaimer in the\n"    \
+"// documentation and/or other materials provided with the distribution.\n"   \
+"//\n"									      \
+"// * The name of Intel Corporation may not be used to endorse or promote\n"  \
+"// products derived from this software without specific prior written\n"     \
+"// permission.\n\n";
+	if (LICENSE_ONLY == "y") {
+		do {
+			print;
+		} while (getline);
+	}
+}
+
+/^[.]data/ {
+	print "RODATA";
+	next;
+}
+/^([a-zA-Z_0-9]*_(tb[l0-9]|Tt|[tT]able|data|low|coeffs|constants|CONSTANTS|reduction|Stirling)(_?([1-9cdimpqstPQT]+|tail))?|(Constants|Poly|coeff)_.+|(double_sin_?cos|double_cis)[fl]?_.+):/ {
+	table_name=substr($1,1,length($1)-1);
+	printf "LOCAL_OBJECT_START(%s)\n", table_name;
+	getline;
+	while (!match($0, "^[ \t]*data")) {
+		print;
+		getline;
+	}
+	while (match($0, "(//|^[ \t]*data)")) {
+		print;
+		getline;
+	}
+	printf "LOCAL_OBJECT_END(%s)\n\n", table_name;
+	next;
+}
+/^[.]proc[ \t]+__libm_(error_region|callout)/ {
+	printf "LOCAL_LIBM_ENTRY(%s)\n", $2;
+	getline;
+	next;
+}
+/^[.]endp[ \t]+__libm_(error_region|callout)/ {
+	printf "LOCAL_LIBM_END(%s)\n", $2;
+	next;
+}
+/^[.]global/ {
+	split($2, part, "#");
+	name=part[1];
+	if (match(name, "^"FUNC"$")) {
+		next;
+	}
+}
+/^[.]proc/ {
+	split($2, part, "#");
+	name=part[1];
+	if (match(name, "^"FUNC"$")) {
+		local_funcs=("^("			\
+			     "cis|cisf|cisl"		\
+			     "|cabs|cabsf|cabsl"	\
+			     "|cot|cotf|cotl"		\
+			     ")$");
+		ieee754_funcs=("^("					  \
+			       "atan2|atan2f|atan2l|atanl"		  \
+			       "|cos|cosf|cosl"				  \
+			       "|cosh|coshf|coshl"			  \
+			       "|exp|expf|expl"				  \
+			       "|exp10|exp10f|exp10l"			  \
+			       "|expm1|expm1f|expm1l"			  \
+			       "|fmod|fmodf|fmodl"			  \
+			       "|hypot|hypotf|hypotl"			  \
+			       "|fabs|fabsf|fabsl"			  \
+			       "|floor|floorf|floorl"			  \
+			       "|log1p|log1pf|log1pl"			  \
+			       "|log|log10|log10f|log10l|log2l|logf|logl" \
+			       "|remainder|remainderf|remainderl|"	  \
+			       "|rint|rintf|rintl|"			  \
+			       "|scalb|scalbf|scalbl"			  \
+			       "|sin|sinf|sinl"				  \
+			       "|sincos|sincosf|sincosl"		  \
+			       "|sinh|sinhf|sinhl"			  \
+			       "|sqrt|sqrtf|sqrtl"			  \
+			       "|tan|tanf|tanl"				  \
+			       ")$");
+		if (match(name, ieee754_funcs)) {
+			type="GLOBAL_IEEE754";
+		} else if (match (name, local_funcs)) {
+			type="LOCAL_LIBM";
+		} else {
+			type="GLOBAL_LIBM";
+		}
+		printf "%s_ENTRY(%s)\n", type, name;
+		getline;
+		while (!match($0, "^"name"#?:")) {
+			getline;
+		}
+		getline;
+		while (!match($0, "^.endp")) {
+			print
+			getline;
+		}
+		getline;
+		printf "%s_END(%s)\n", type, name;
+		if (match(name, "^exp10[fl]?$")) {
+			t=substr(name,6)
+			printf "weak_alias (exp10%s, pow10%s)\n", t, t
+		}
+		next;
+	}
+}
+/^[a-zA-Z_]+:/ {
+	split($1, part, ":");
+	name=part[1];
+	if (match(name, "^"FUNC"$")) {
+		printf "GLOBAL_LIBM_ENTRY(%s)\n", name;
+		getline;
+		while (!match($0, "^"name"#?:")) {
+			getline;
+		}
+		getline;
+		while (!match($0, "^.endp")) {
+			print
+			getline;
+		}
+		getline;
+		printf "GLOBAL_LIBM_END(%s)\n", name;
+		next;
+	}
+}
+
+{ print }
+
diff --git a/sysdeps/ia64/fpu/import_intel_libm b/sysdeps/ia64/fpu/import_intel_libm
new file mode 100644
index 0000000000..752ba37478
--- /dev/null
+++ b/sysdeps/ia64/fpu/import_intel_libm
@@ -0,0 +1,42 @@
+#!/bin/sh
+
+# Notes:
+
+#  We don't import copysign finite, fpclassify, isinf, isnan, and signbit
+#  since our own versions are nicer and just as correct and fast (except
+#  perhaps that they don't handle non-finite arguments well?).
+#
+#  Also, leave out cabs for now since it doesn't seem overridable in
+#  glibc.
+
+libm_dir=$1
+
+import_s() {
+	# $1 = name
+	# $2 = source file-name
+	# $3 = destination file-name
+	echo "Importing $1 from $2 -> $3"
+	awk -f import_file.awk FUNC=$1 $2 > $3
+}
+
+import_c() {
+	# $1 = name
+	# $2 = source file-name
+	# $3 = destination file-name
+	echo "Importing $1 from $2 -> $3"
+	awk -f import_file.awk LICENSE_ONLY=y $2 > $3
+}
+
+do_imports() {
+    while read func_pattern src_file dst_file; do
+	if [ "$(expr $src_file : '.*\(c\)$')" = "c" ]; then
+	    import_c "$func_pattern" "$src_file" "$dst_file"
+	else
+	    import_s "$func_pattern" "$src_file" "$dst_file"
+	fi
+    done
+}
+
+./gen_import_file_list $libm_dir > import_file_list
+
+do_imports < import_file_list
diff --git a/sysdeps/ia64/fpu/libm-symbols.h b/sysdeps/ia64/fpu/libm-symbols.h
new file mode 100644
index 0000000000..3d0eb37d2a
--- /dev/null
+++ b/sysdeps/ia64/fpu/libm-symbols.h
@@ -0,0 +1,64 @@
+#include <sysdep.h>
+#undef ret	/* get rid of the stupid "ret" macro; it breaks br.ret */
+
+/* Support for compatible assembler handling.  */
+
+#ifdef __ELF__
+# define ASM_SIZE_DIRECTIVE(name) .size name,.-name
+# define ASM_TYPE_DIRECTIVE(name,T) .type name,T
+#else
+# define ASM_SIZE_DIRECTIVE(name)
+# define ASM_TYPE_DIRECTIVE(name,T)
+#endif
+
+#define LOCAL_LIBM_ENTRY(name)			\
+	.proc name;				\
+ name:
+
+#define LOCAL_LIBM_END(name)			\
+	.endp name;				\
+ ASM_SIZE_DIRECTIVE(name)
+
+
+#define RODATA		.rodata
+#define LOCAL_OBJECT_START(name)		\
+   name:;					\
+   ASM_TYPE_DIRECTIVE(name, @object)
+#define LOCAL_OBJECT_END(name)			\
+   ASM_SIZE_DIRECTIVE(name)
+
+#define GLOBAL_LIBM_ENTRY(name)			\
+	LOCAL_LIBM_ENTRY(name);			\
+	.global name
+#define GLOBAL_LIBM_END(name)		LOCAL_LIBM_END(name)
+
+#define INTERNAL_LIBM_ENTRY(name)		\
+	GLOBAL_LIBM_ENTRY(__libm_##name);	\
+	.global __libm_##name
+#define INTERNAL_LIBM_END(name)		GLOBAL_LIBM_END(__libm_##name)
+
+#define WEAK_LIBM_ENTRY(name)			\
+	.align 32;				\
+	LOCAL_LIBM_ENTRY(name);			\
+	.global __##name;			\
+ __##name:
+#define WEAK_LIBM_END(name)			\
+ weak_alias (__##name, name);			\
+ .hidden __##name;				\
+	LOCAL_LIBM_END(name);			\
+ ASM_SIZE_DIRECTIVE(__##name);			\
+ ASM_TYPE_DIRECTIVE(__##name, @function)
+
+#define GLOBAL_IEEE754_ENTRY(name)		\
+	WEAK_LIBM_ENTRY(name);			\
+	.global __ieee754_##name;		\
+	.hidden __ieee754_##name;		\
+ __ieee754_##name:
+#define GLOBAL_IEEE754_END(name)			\
+	WEAK_LIBM_END(name);				\
+ ASM_SIZE_DIRECTIVE(__ieee754_##name);			\
+ ASM_TYPE_DIRECTIVE(__ieee754_##name, @function)
+
+#if defined ASSEMBLER && !defined NOT_IN_libc
+# define __libm_error_support	HIDDEN_JUMPTARGET(__libm_error_support)
+#endif
diff --git a/sysdeps/ia64/fpu/libm_atan2_reg.S b/sysdeps/ia64/fpu/libm_atan2_reg.S
deleted file mode 100644
index 5649670d19..0000000000
--- a/sysdeps/ia64/fpu/libm_atan2_reg.S
+++ /dev/null
@@ -1,1234 +0,0 @@
-.file "libm_atan2_reg.s"
-
-// Copyright (C) 2000, 2001, Intel Corporation
-// All rights reserved.
-// 
-// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story,
-// and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation.
-//
-// Redistribution and use in source and binary forms, with or without
-// modification, are permitted provided that the following conditions are
-// met:
-//
-// * Redistributions of source code must retain the above copyright
-// notice, this list of conditions and the following disclaimer.
-//
-// * Redistributions in binary form must reproduce the above copyright
-// notice, this list of conditions and the following disclaimer in the
-// documentation and/or other materials provided with the distribution.
-//
-// * The name of Intel Corporation may not be used to endorse or promote
-// products derived from this software without specific prior written
-// permission.
-//
-// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
-// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
-// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
-// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS 
-// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
-// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, 
-// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 
-// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY 
-// OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
-// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 
-// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 
-// 
-// Intel Corporation is the author of this code, and requests that all
-// problem reports or change requests be submitted to it directly at 
-// http://developer.intel.com/opensource.
-//
-// History
-//==============================================================
-// 2/02/00: Initial version
-// 4/04/00  Unwind support added
-
-#include "libm_support.h"
-
-.data
-
-.align 64
-ASM_TYPE_DIRECTIVE(Constants_atan#,@object)
-Constants_atan:
-data4   0x54442D18, 0x3FF921FB, 0x248D3132, 0x3E000000
-// double pi/2, single lo_pi/2, two**(-3)
-data4   0xAAAAAAA3, 0xAAAAAAAA, 0x0000BFFD, 0x00000000 // P_1
-data4   0xCCCC54B2, 0xCCCCCCCC, 0x00003FFC, 0x00000000 // P_2
-data4   0x47E4D0C2, 0x92492492, 0x0000BFFC, 0x00000000 // P_3
-data4   0x58870889, 0xE38E38E0, 0x00003FFB, 0x00000000 // P_4
-data4   0x290149F8, 0xBA2E895B, 0x0000BFFB, 0x00000000 // P_5
-data4   0x250F733D, 0x9D88E6D4, 0x00003FFB, 0x00000000 // P_6
-data4   0xFB8745A0, 0x884E51FF, 0x0000BFFB, 0x00000000 // P_7
-data4   0x394396BD, 0xE1C7412B, 0x00003FFA, 0x00000000 // P_8
-data4   0xAAAAA52F, 0xAAAAAAAA, 0x0000BFFD, 0x00000000 // Q_1
-data4   0xC75B60D3, 0xCCCCCCCC, 0x00003FFC, 0x00000000 // Q_2
-data4   0x011F1940, 0x924923AD, 0x0000BFFC, 0x00000000 // Q_3
-data4   0x2A5F89BD, 0xE36F716D, 0x00003FFB, 0x00000000 // Q_4
-//      Entries Tbl_hi  (double precision)
-//      B = 1+Index/16+1/32  Index = 0
-//      Entries Tbl_lo (single precision)
-//      B = 1+Index/16+1/32  Index = 0
-data4   0xA935BD8E, 0x3FE9A000, 0x23ACA08F, 0x00000000
-// Entries Tbl_hi  (double precision) Index = 0,1,...,15
-// B = 2^(-1)*(1+Index/16+1/32)
-// Entries Tbl_lo (single precision)
-// Index = 0,1,...,15  B = 2^(-1)*(1+Index/16+1/32)
-data4   0x7F175A34, 0x3FDE77EB, 0x238729EE, 0x00000000
-data4   0x73C1A40B, 0x3FE0039C, 0x249334DB, 0x00000000
-data4   0x5B5B43DA, 0x3FE0C614, 0x22CBA7D1, 0x00000000
-data4   0x88BE7C13, 0x3FE1835A, 0x246310E7, 0x00000000
-data4   0xE2CC9E6A, 0x3FE23B71, 0x236210E5, 0x00000000
-data4   0x8406CBCA, 0x3FE2EE62, 0x2462EAF5, 0x00000000
-data4   0x1CD41719, 0x3FE39C39, 0x24B73EF3, 0x00000000
-data4   0x5B795B55, 0x3FE44506, 0x24C11260, 0x00000000
-data4   0x5BB6EC04, 0x3FE4E8DE, 0x242519EE, 0x00000000
-data4   0x1F732FBA, 0x3FE587D8, 0x24D4346C, 0x00000000
-data4   0x115D7B8D, 0x3FE6220D, 0x24ED487B, 0x00000000
-data4   0x920B3D98, 0x3FE6B798, 0x2495FF1E, 0x00000000
-data4   0x8FBA8E0F, 0x3FE74897, 0x223D9531, 0x00000000
-data4   0x289FA093, 0x3FE7D528, 0x242B0411, 0x00000000
-data4   0x576CC2C5, 0x3FE85D69, 0x2335B374, 0x00000000
-data4   0xA99CC05D, 0x3FE8E17A, 0x24C27CFB, 0x00000000
-//
-//      Entries Tbl_hi  (double precision) Index = 0,1,...,15
-//      B = 2^(-2)*(1+Index/16+1/32)
-//      Entries Tbl_lo (single precision)
-//      Index = 0,1,...,15  B = 2^(-2)*(1+Index/16+1/32)
-//
-data4   0x510665B5, 0x3FD025FA, 0x24263482, 0x00000000
-data4   0x362431C9, 0x3FD1151A, 0x242C8DC9, 0x00000000
-data4   0x67E47C95, 0x3FD20255, 0x245CF9BA, 0x00000000
-data4   0x7A823CFE, 0x3FD2ED98, 0x235C892C, 0x00000000
-data4   0x29271134, 0x3FD3D6D1, 0x2389BE52, 0x00000000
-data4   0x586890E6, 0x3FD4BDEE, 0x24436471, 0x00000000
-data4   0x175E0F4E, 0x3FD5A2E0, 0x2389DBD4, 0x00000000
-data4   0x9F5FA6FD, 0x3FD68597, 0x2476D43F, 0x00000000
-data4   0x52817501, 0x3FD76607, 0x24711774, 0x00000000
-data4   0xB8DF95D7, 0x3FD84422, 0x23EBB501, 0x00000000
-data4   0x7CD0C662, 0x3FD91FDE, 0x23883A0C, 0x00000000
-data4   0x66168001, 0x3FD9F930, 0x240DF63F, 0x00000000
-data4   0x5422058B, 0x3FDAD00F, 0x23FE261A, 0x00000000
-data4   0x378624A5, 0x3FDBA473, 0x23A8CD0E, 0x00000000
-data4   0x0AAD71F8, 0x3FDC7655, 0x2422D1D0, 0x00000000
-data4   0xC9EC862B, 0x3FDD45AE, 0x2344A109, 0x00000000
-//
-//      Entries Tbl_hi  (double precision) Index = 0,1,...,15
-//      B = 2^(-3)*(1+Index/16+1/32)
-//      Entries Tbl_lo (single precision)
-//      Index = 0,1,...,15  B = 2^(-3)*(1+Index/16+1/32)
-//
-data4   0x84212B3D, 0x3FC068D5, 0x239874B6, 0x00000000
-data4   0x41060850, 0x3FC16465, 0x2335E774, 0x00000000
-data4   0x171A535C, 0x3FC25F6E, 0x233E36BE, 0x00000000
-data4   0xEDEB99A3, 0x3FC359E8, 0x239680A3, 0x00000000
-data4   0xC6092A9E, 0x3FC453CE, 0x230FB29E, 0x00000000
-data4   0xBA11570A, 0x3FC54D18, 0x230C1418, 0x00000000
-data4   0xFFB3AA73, 0x3FC645BF, 0x23F0564A, 0x00000000
-data4   0xE8A7D201, 0x3FC73DBD, 0x23D4A5E1, 0x00000000
-data4   0xE398EBC7, 0x3FC8350B, 0x23D4ADDA, 0x00000000
-data4   0x7D050271, 0x3FC92BA3, 0x23BCB085, 0x00000000
-data4   0x601081A5, 0x3FCA217E, 0x23BC841D, 0x00000000
-data4   0x574D780B, 0x3FCB1696, 0x23CF4A8E, 0x00000000
-data4   0x4D768466, 0x3FCC0AE5, 0x23BECC90, 0x00000000
-data4   0x4E1D5395, 0x3FCCFE65, 0x2323DCD2, 0x00000000
-data4   0x864C9D9D, 0x3FCDF110, 0x23F53F3A, 0x00000000
-data4   0x451D980C, 0x3FCEE2E1, 0x23CCB11F, 0x00000000
-data4   0x54442D18, 0x400921FB, 0x33145C07, 0x3CA1A626 // I two doubles
-data4   0x54442D18, 0x3FF921FB, 0x33145C07, 0x3C91A626 // I_by_2 two dbls
-data4   0x54442D18, 0x3FE921FB, 0x33145C07, 0x3C81A626 // I_by_4 two dbls
-data4   0x7F3321D2, 0x4002D97C, 0x4C9E8A0A, 0x3C9A7939 // 3I_by_4 two dbls
-ASM_SIZE_DIRECTIVE(Constants_atan#)
-.section .text
-
-.proc __libm_atan2_reg#
-.global __libm_atan2_reg#
-.align 64
-__libm_atan2_reg:
-
-
-{ .mfi
-       alloc  r32 = ar.pfs,0,20,4,0
-(p0)   mov f32 = f8
-       nop.i 0
-} 
-{ .mmi
-      nop.m 0
-(p0)  addl           r39   = @ltoff(Constants_atan#), gp
-      nop.i 999
-}
-;;
-
-{ .mmi
-      ld8 r39 = [r39]
-      nop.m 999
-      nop.i 999
-}
-;;
-
-{ .mfi
-       nop 999	// EMbo added ...
-(p0)   mov f33 = f9
- nop.i 0
- } { .mfi
-       nop 999	// EMbo added ...
-(p0)   fclass.nm.unc p9,p0 = f32 ,0x1FF
-       nop 999;;	// EMbo added ...
- } { .mfi
-	nop 999	// EMbo added ...
-(p0)   fclass.nm.unc p8,p0 = f33 ,0x1FF
-	nop 999	// EMbo added ...
- } { .mfi
-	nop 999	// EMbo added ...
-(p0)   fclass.m.unc  p6,p0 = f33 ,0x103
-	nop 999;;	// EMbo added ...
- } { .mfi
-	nop 999	// EMbo added ...
-(p0)   fclass.m.unc  p7,p0 = f32 ,0x103
-	nop 999	// EMbo added ...
- } { .mfi
-	nop 999	// EMbo added ...
-(p0)   fclass.m.unc p12,p0 = f33 ,0x0C3
-	nop 999;;	// EMbo added ...
- } { .mfb
-	nop 999	// EMbo added ...
-//
-//     Check for NatVals.
-//     Check for EM Unsupporteds
-//     Check for NaNs.
-//
-(p0)   fclass.m.unc p13,p0 = f32 ,0x0C3
-(p6)   br.cond.sptk L(ATAN_NATVAL);;
- } { .mbb
-	nop 999	// EMbo added ...
-(p7)   br.cond.sptk L(ATAN_NATVAL)
-(p8)   br.cond.sptk L(ATAN_UNSUPPORTED);;
- } { .mib
-(p0)   add r40 = 96, r39
-	nop 999	// EMbo added ...
-(p9)   br.cond.sptk L(ATAN_UNSUPPORTED);;
- } { .mib
-(p0)   ldfd  f50 = [r39],8
-	nop 999	// EMbo added ...
-(p12)  br.cond.sptk L(ATAN_NAN);;
- } { .mfb
-	nop 999	// EMbo added ...
-(p0)   fnorm.s1 f33 = f33
-(p13)  br.cond.sptk L(ATAN_NAN);;
- } { .mfi
-(p0)   ldfs  f51 = [r39],4
-//
-//     Remove sign bits from exponents
-//     Load 2**(-3)
-//     Normalize the input argument.
-//
-(p0)   fnorm.s1 f32 = f32
-	nop 999	// EMbo added ...
- } { .mfi
-	nop 999	// EMbo added ...
-(p0)   mov f82 = f1
-	nop 999;;	// EMbo added ...
- } { .mmi
-	nop 999;;	// EMbo added ...
-(p0)   ldfs  f78 = [r39],180
-	nop 999;;	// EMbo added ...
- } { .mmi
-(p0)   getf.exp r36 = f33;;
-//
-//     Get exp and sign of ArgX
-//     Get exp and sign of ArgY
-//     Load 2**(-3) and increment ptr to Q_4.
-//
-(p0)   getf.exp r37 = f32
-(p0)   shr.u r36 = r36,17;;
- } { .mfi
-	nop 999	// EMbo added ...
-(p0)   fmerge.s f84 =  f1,f32
-(p0)   shr.u r37 = r37,17;;
- } { .mfi
-	nop 999	// EMbo added ...
-//
-//     ArgX_abs = |ArgX|
-//     ArgY_abs = |ArgY|
-//     sign_X is sign bit of ArgX
-//     sign_Y is sign bit of ArgY
-//
-(p0)   fmerge.s f83 =  f1,f33
-(p0)   cmp.eq.unc  p8,p9 = 0x00000, r37;;
- } { .mfi
-	nop 999	// EMbo added ...
-(p8)   fadd.s1 f34 = f0, f1
-	nop 999;;	// EMbo added ...
- } { .mfi
-	nop 999	// EMbo added ...
-(p9)   fsub.s1 f34 = f0, f1
-	nop 999;;	// EMbo added ...
- } { .mfi
-	nop 999	// EMbo added ...
-(p0)   fmin.s1 f36 = f83, f84
-	nop 999	// EMbo added ...
- } { .mfi
-	nop 999	// EMbo added ...
-(p0)   fmax.s1 f35 = f83, f84
-	nop 999;;	// EMbo added ...
- } { .mfi
-	nop 999	// EMbo added ...
-//
-//     Is ArgX_abs >= ArgY_abs
-//     Is sign_Y == 0?
-//
-(p0)   fcmp.ge.s1  p6,p7 = f83,f84
-	nop 999;;	// EMbo added ...
- } { .mii
-(p6)   cmp.eq.unc  p10, p11 =  0x00000, r36
-(p6)   add r38 = r0, r0;;
-//
-//     U = max(ArgX_abs,ArgY_abs)
-//     V = min(ArgX_abs,ArgY_abs)
-//     if p6, swap = 0
-//     if p7, swap = 1
-//
-//
-//     Let M = 1.0
-//     if p8, s_Y = 1.0
-//     if p9, s_Y = -1.0
-//
-(p7)   add r38 = 1,r0;;
- } { .mfi
-	nop 999	// EMbo added ...
-(p0)   frcpa.s1 f37, p6 =  f36, f35
-	nop 999;;	// EMbo added ...
- } { .mfb
-	nop 999	// EMbo added ...
-//
-//     E = frcpa(V,U)
-//
-(p10)  fsub.s1 f82 = f82, f1
-(p6)   br.cond.sptk L(ATAN_STEP2);;
- } { .mib
-	nop 999	// EMbo added ...
-	nop 999	// EMbo added ...
-// /**************************************************/
-// /********************* STEP2 **********************/
-// /**************************************************/
-(p0)   br.cond.spnt L(ATAN_SPECIAL_HANDLING);;
- }
-L(ATAN_STEP2):
- { .mlx
-	nop 999	// EMbo added ...
-(p0)   movl r47 =  0x8400000000000000
- } { .mlx
-	nop 999	// EMbo added ...
-(p0)   movl r48 =  0x0000000000000100;;
- } { .mfi
-	nop 999	// EMbo added ...
-(p0)   fmpy.s1 f38 = f37, f36
-	nop 999	// EMbo added ...
- } { .mfi
-	nop 999	// EMbo added ...
-(p0)   fcmp.lt.unc.s0  p0,p9 = f9,f1
-	nop 999;;	// EMbo added ...
- } { .mfi
-	nop 999	// EMbo added ...
-(p0)   fcmp.lt.unc.s0  p0,p8 = f8,f1
-	nop 999	// EMbo added ...
- } { .mfi
-	nop 999	// EMbo added ...
-//
-//     Q = E * V
-//
-(p11)  fadd.s1 f82 = f82, f1
-	nop 999;;	// EMbo added ...
- } { .mfi
-(p0)   getf.sig r46 = f38
-(p0)   fcmp.lt.unc p6,p7 = f38,f78
-	nop 999;;	// EMbo added ...
- } { .mfi
-	nop 999	// EMbo added ...
-(p0)   fmpy.s1 f38 = f37, f36
-(p0)   extr.u r42 = r46, 59, 4;;
- } { .mfi
-	nop 999	// EMbo added ...
-(p0)   fmpy.s1 f50 = f82, f50
-(p0)   dep r47 = r42, r47, 59, 4
- } { .mfi
-	nop 999	// EMbo added ...
-(p0)   fmpy.s1 f51 = f82, f51
-	nop 999;;	// EMbo added ...
- } { .mmi
-	nop 999;;	// EMbo added ...
-//
-//     Is Q < 2**(-3)?
-//
-//
-//     Do fcmp to raise any denormal operand
-//     exceptions.
-//
-(p0)   getf.exp r45 = f38
-	nop 999;;	// EMbo added ...
- } { .mib
-//
-//     lookup = b_1 b_2 b_3 B_4
-//
-//
-//     Generate 1.b_1 b_2 b_3 b_4 1 0 0 0 ... 0
-//
-(p0)   andcm r41 = 0x0003, r45
-	nop 999	// EMbo added ...
-//
-//     We waited a few extra cycles so P_lo and P_hi could be calculated.
-//     Load the constant 256 for loading up table entries.
-//
-//    /**************************************************/
-//    /********************* STEP3 **********************/
-//    /**************************************************/
-(p6)   br.cond.spnt L(ATAN_POLY);;
- } { .mii
-(p0)   setf.sig f39 = r47
-(p0)   cmp.eq.unc  p8, p9 =  0x0000, r41
-//
-//     z_hi = s exp 1.b_1 b_2 b_3 b_4 1 0 0 0 ... 0
-//     point to beginning of Tbl_hi entries - k = 0.
-//
-(p0)   add r40 = 16, r39
- } { .mmi
-(p0)   ldfe f73 = [r39],-16;;
-(p9)   sub r41 = r41,r0,1
-(p9)   add r40 = 16,r40
- } { .mfi
-(p8)   ldfd  f48 = [r40],8
-(p0)   fmpy.s1 f50 = f34, f50
-(p0)   xor r38 = r36,r38;;
- } { .mmi
-(p0)   ldfe f71 = [r39],-16;;
-(p8)   ldfs  f49 = [r40],8
-(p9)   pmpy2.r r41 = r41,r48;;
- } { .mfi
-(p0)   ldfe f69 = [r39],-16
-//
-//     Let z_hi have exponent and sign of original Q
-//     Load the Tbl_hi(0) else, increment pointer.
-//
-(p0)   fmerge.se f39 =  f38,f39
-(p9)   shladd r42 = r42,0x0004,r41;;
- } { .mmi
-(p9)   add r40 = r40, r42;;
-(p9)   ldfd  f48 = [r40],8
-	nop 999;;	// EMbo added ...
- } { .mmi
-(p0)   ldfe f67 = [r39],-16;;
-(p9)   ldfs  f49 = [r40],8
-	nop 999	// EMbo added ...
- } { .mfi
-	nop 999	// EMbo added ...
-//
-//     U_prime_hi = U + V * z_hi
-//     Load the Tbl_lo(0)
-//
-(p0)   fma.s1 f40 = f36, f39, f35
-	nop 999;;	// EMbo added ...
- } { .mfi
-	nop 999	// EMbo added ...
-(p0)   fnma.s1 f42 = f35, f39, f36
-	nop 999	// EMbo added ...
- } { .mfi
-	nop 999	// EMbo added ...
-(p0)   mov f52 = f48
-	nop 999;;	// EMbo added ...
- } { .mfi
-	nop 999	// EMbo added ...
-(p0)   frcpa.s1 f43, p6 =  f1, f40
-	nop 999;;	// EMbo added ...
- } { .mfi
-	nop 999	// EMbo added ...
-//
-//     U_prime_lo = U - U_prime_hi
-//     k = k * 256 - result can be 0, 256, or 512.
-//
-(p0)   fsub.s1 f41 = f35, f40
-(p0)   cmp.eq.unc  p7, p6 =  0x00000, r38
- } { .mfi
-	nop 999	// EMbo added ...
-(p0)   fmpy.s1 f52 = f34, f52
-	nop 999;;	// EMbo added ...
- } { .mfi
-	nop 999	// EMbo added ...
-(p7)   fadd.s1 f54 = f0, f1
-	nop 999;;	// EMbo added ...
- } { .mfi
-	nop 999	// EMbo added ...
-(p6)   fsub.s1 f54 = f0, f1
-	nop 999;;	// EMbo added ...
- } { .mfi
-	nop 999	// EMbo added ...
-(p0)   fnma.s1 f80 = f43, f40, f1
-	nop 999;;	// EMbo added ...
- } { .mfi
-	nop 999	// EMbo added ...
-(p0)   fadd.s1 f79 = f41, f40
-	nop 999	// EMbo added ...
- } { .mfi
-	nop 999	// EMbo added ...
-(p0)   fma.s1 f41 = f36, f39, f41
-	nop 999;;	// EMbo added ...
- } { .mfi
-	nop 999	// EMbo added ...
-(p0)   fma.s1 f56 = f54, f52, f50
-	nop 999;;	// EMbo added ...
- } { .mfi
-	nop 999	// EMbo added ...
-(p0)   fma.s1 f43 = f80, f43, f43
-	nop 999;;	// EMbo added ...
- } { .mfi
-	nop 999	// EMbo added ...
-//
-//     U_prime_lo =  U - U_hold
-//     lookup -> lookup * 16 + k
-//
-//
-//     V_prime =  V - U * z_hi
-//     U_prime_lo =  V * z_hi + U_prime_lo
-//
-(p0)   fsub.s1 f79 = f35, f79
-	nop 999;;	// EMbo added ...
- } { .mfi
-	nop 999	// EMbo added ...
-(p0)   fnma.s1 f80 = f43, f40, f1
-	nop 999;;	// EMbo added ...
- } { .mfi
-	nop 999	// EMbo added ...
-//
-//     C_hi = frcpa(1,U_prime_hi)
-//     U_prime_lo = U_prime_lo + U_hold
-//
-//
-//     C_hi_hold = 1 - C_hi * U_prime_hi (1)
-//
-//
-//     C_hi = C_hi + C_hi * C_hi_hold    (1)
-//
-//
-//     C_hi_hold = 1 - C_hi * U_prime_hi (2)
-//
-(p0)   fadd.s1 f41 = f41, f79
-	nop 999;;	// EMbo added ...
- } { .mfi
-	nop 999	// EMbo added ...
-//
-//     C_hi = C_hi + C_hi * C_hi_hold    (2)
-//
-(p0)   fma.s1 f43 = f80, f43, f43
-	nop 999;;	// EMbo added ...
- } { .mfi
-	nop 999	// EMbo added ...
-//
-//     C_hi_hold = 1 - C_hi * U_prime_hi (3)
-//
-(p0)   fnma.s1 f80 = f43, f40, f1
-	nop 999;;	// EMbo added ...
- } { .mfi
-	nop 999	// EMbo added ...
-//
-//     C_hi = C_hi + C_hi * C_hi_hold    (3)
-//
-(p0)   fma.s1 f43 = f80, f43, f43
-	nop 999;;	// EMbo added ...
- } { .mfi
-	nop 999	// EMbo added ...
-//
-//     w_hi = V_prime * C_hi
-//
-(p0)   fmpy.s1 f44 = f42, f43
-	nop 999;;	// EMbo added ...
- } { .mfi
-	nop 999	// EMbo added ...
-(p0)   fmpy.s1 f46 = f44, f44
-	nop 999	// EMbo added ...
- } { .mfi
-	nop 999	// EMbo added ...
-//
-//     wsq = w_hi * w_hi
-//     w_lo =  = V_prime - w_hi * U_prime_hi
-//
-(p0)   fnma.s1 f45 = f44, f40, f42
-	nop 999;;	// EMbo added ...
- } { .mfi
-	nop 999	// EMbo added ...
-(p0)   fma.s1 f47 = f46, f73, f71
-	nop 999	// EMbo added ...
- } { .mfi
-	nop 999	// EMbo added ...
-//
-//     poly = Q_3 + wsq * Q_4
-//     w_lo =  = w_lo - w_hi * U_prime_lo
-//
-(p0)   fnma.s1 f45 = f44, f41, f45
-	nop 999;;	// EMbo added ...
- } { .mfi
-	nop 999	// EMbo added ...
-(p0)   fma.s1 f47 = f46, f47, f69
-	nop 999	// EMbo added ...
- } { .mfi
-	nop 999	// EMbo added ...
-//
-//     poly = Q_2 + wsq * poly
-//     w_lo =  = w_lo * C_hi
-//
-(p0)   fmpy.s1 f45 = f43, f45
-	nop 999;;	// EMbo added ...
- } { .mfi
-	nop 999	// EMbo added ...
-(p0)   fma.s1 f47 = f46, f47, f67
-	nop 999	// EMbo added ...
- } { .mfi
-	nop 999	// EMbo added ...
-//
-//     poly = Q_1 + wsq * poly
-//     A_lo = Tbl_lo + w_lo
-//     swap = xor(swap,sign_X)
-//
-(p0)   fadd.s1 f53 = f49, f45
-	nop 999;;	// EMbo added ...
- } { .mfi
-	nop 999	// EMbo added ...
-//
-//     Is (swap) != 0 ?
-//     poly = wsq * poly
-//     A_hi = Tbl_hi
-//
-(p0)   fmpy.s1 f47 = f46, f47
-	nop 999;;	// EMbo added ...
- } { .mfi
-	nop 999	// EMbo added ...
-//
-//     poly = wsq * poly
-//
-//
-//     if (p6) sigma = -1.0
-//     if (p7) sigma =  1.0
-//
-(p0)   fmpy.s1 f47 = f44, f47
-	nop 999;;	// EMbo added ...
- } { .mfi
-	nop 999	// EMbo added ...
-//
-//     P_hi = s_Y * P_hi
-//     A_lo = A_lo + poly
-//
-(p0)   fadd.s1 f53 = f53, f47
-	nop 999;;	// EMbo added ...
- } { .mfi
-	nop 999	// EMbo added ...
-//
-//     A_lo = A_lo + w_hi
-//     A_hi = s_Y * A_hi
-//
-(p0)   fadd.s1 f53 = f53, f44
-	nop 999;;	// EMbo added ...
- } { .mfb
-	nop 999	// EMbo added ...
-//
-//     result_hi = P_hi + sigma * A_hi
-//     result_lo = P_lo + sigma * A_lo
-//
-(p0)   fma.s1 f55 = f54, f53, f51
-(p0)   br.cond.sptk L(RETURN_ATAN);;
-} 
-//
-//     result  =  result_hi + result_lo * s_Y  (User Supplied Rounding Mode)
-//
-//     (p0)   fma.d.s0 f57 = f55, f34, f56
-//
-// /**************************************************/
-// /********************* STEP4 **********************/
-// /**************************************************/
-//
-L(ATAN_POLY):
-{ .mmi
-(p0)   xor r38 = r36,r38
-(p0)  addl           r39   = @ltoff(Constants_atan#), gp
-      nop.i 999
-}
-;;
-
-{ .mmi
-      ld8 r39 = [r39]
-      nop.m 999
-      nop.i 999
-}
-;;
-
-
-{ .mlx
-	nop 999	// EMbo added ...
-(p0)   movl r47 =  0x24005;;
- } { .mfi
-(p0)   add r39 = 128, r39
-(p0)   fnma.s1 f81 = f37, f35, f1
-(p0)   cmp.eq.unc  p7, p6 =  0x00000, r38;;
- } { .mmf
-	nop 999	// EMbo added ...
-(p0)   ldfe f77 = [r39],-16
-//
-//     Iterate 3 times E = E + E*(1.0 - E*U)
-//     Also load P_8, P_7, P_6, P_5, P_4
-//     E_hold = 1.0 - E * U     (1)
-//     A_temp = Q
-//
-(p0)   mov f85 = f38;;
- } { .mmf
-	nop 999	// EMbo added ...
-(p0)   ldfe f76 = [r39],-16
-(p6)   fsub.s1 f54 = f0, f1;;
- } { .mmf
-	nop 999	// EMbo added ...
-(p0)   ldfe f75 = [r39],-16
-//
-//     E = E + E_hold*E         (1)
-//     Point to P_8.
-//
-(p0)   fma.s1 f37 = f37, f81, f37;;
- } { .mmf
-	nop 999	// EMbo added ...
-(p0)   ldfe f74 = [r39],-16
-(p0)   fnma.s1 f64 = f85, f35, f36;;
- } { .mmf
-	nop 999	// EMbo added ...
-(p0)   ldfe f72 = [r39],-16
-(p7)   fadd.s1 f54 = f0, f1;;
- } { .mmf
-	nop 999	// EMbo added ...
-(p0)   ldfe f70 = [r39],-16
-//
-//     E_hold = 1.0 - E * U     (2)
-//
-(p0)   fnma.s1 f81 = f37, f35, f1;;
- } { .mmf
-	nop 999	// EMbo added ...
-(p0)   ldfe f68 = [r39],-16
-(p0)   fmpy.s1 f50 = f34, f50;;
- } { .mmf
-	nop 999	// EMbo added ...
-(p0)   ldfe f66 = [r39],-16
-(p0)   fmpy.d.s0 f67 = f67, f67
- } { .mfi
-	nop 999	// EMbo added ...
-//
-//     E = E + E_hold*E         (2)
-//
-(p0)   fma.s1 f37 = f37, f81, f37
-	nop 999;;	// EMbo added ...
- } { .mfi
-	nop 999	// EMbo added ...
-//
-//     E_hold = 1.0 - E * U     (3)
-//
-(p0)   fnma.s1 f81 = f37, f35, f1
-	nop 999;;	// EMbo added ...
- } { .mfi
-	nop 999	// EMbo added ...
-//
-//     E = E + E_hold*E         (3)
-//     At this point E approximates 1/U to roughly working precision
-//     z = V*E approximates V/U
-//
-(p0)   fma.s1 f37 = f37, f81, f37
-	nop 999;;	// EMbo added ...
- } { .mfi
-	nop 999	// EMbo added ...
-//
-//     z =   V * E
-//
-(p0)   fmpy.s1 f59 = f36, f37
-	nop 999	// EMbo added ...
- } { .mfi
-	nop 999	// EMbo added ...
-(p0)   fmpy.s1 f64 = f64, f37
-	nop 999;;	// EMbo added ...
- } { .mfi
-	nop 999	// EMbo added ...
-//
-//     zsq = z * z
-//     Also load P_3
-//
-(p0)   fmpy.s1 f60 = f59, f59
-	nop 999	// EMbo added ...
- } { .mfi
-	nop 999	// EMbo added ...
-(p0)   fadd.s1 f52 = f85, f64
-	nop 999;;	// EMbo added ...
- } { .mfi
-	nop 999	// EMbo added ...
-(p0)   fma.s1 f62 = f60, f77, f76
-	nop 999	// EMbo added ...
- } { .mfi
-	nop 999	// EMbo added ...
-(p0)   fma.s1 f63 = f60, f70, f68
-	nop 999;;	// EMbo added ...
- } { .mfi
-	nop 999	// EMbo added ...
-//
-//     z8 = zsq * zsq
-//     Also load P_2
-//
-(p0)   fmpy.s1 f61 = f60, f60
-	nop 999	// EMbo added ...
- } { .mfi
-	nop 999	// EMbo added ...
-(p0)   fsub.s1 f85 = f85, f52
-	nop 999;;	// EMbo added ...
- } { .mfi
-	nop 999	// EMbo added ...
-(p0)   fmerge.s  f65 = f52,f52
-	nop 999;;	// EMbo added ...
- } { .mfi
-	nop 999	// EMbo added ...
-(p0)   fma.s1 f62 = f60, f62, f75
-	nop 999	// EMbo added ...
- } { .mfi
-	nop 999	// EMbo added ...
-(p0)   fma.s1 f63 = f60, f63, f66
-	nop 999;;	// EMbo added ...
- } { .mfi
-	nop 999	// EMbo added ...
-//
-//     z8 = z8 * z8
-//     Also load P_1
-//     poly1 = _4 + zsq*(P_5 + zsq*(P_6 + zsq*(P_7 + zsq*P_8)))
-//     poly2 = zsq*(P_1 + zsq*(P_2 + zsq*P_3))
-//
-//
-//     poly1 = P_7 + zsq * P_8
-//     poly2 = P_2 + zsq * P_3
-//     poly1 = P_4 + zsq*(P_5 + zsq*(P_6 + zsq*poly1))
-//     poly2 = zsq*(P_1 + zsq*poly2)
-//
-//
-//     poly1 = P_6 + zsq * poly1
-//     poly2 = P_1 + zsq * poly2
-//     poly1 = P_4 + zsq*(P_5 + zsq*poly1)
-//     poly2 = zsq*poly2
-//
-(p0)   fmpy.s1 f61 = f61, f61
-	nop 999	// EMbo added ...
- } { .mfi
-	nop 999	// EMbo added ...
-(p0)   fadd.s1 f64 = f85, f64
-	nop 999;;	// EMbo added ...
- } { .mfi
-	nop 999	// EMbo added ...
-(p0)   fma.s1 f62 = f60, f62, f74
-	nop 999	// EMbo added ...
- } { .mfi
-	nop 999	// EMbo added ...
-//
-//     poly1 = P_5 + zsq * poly1
-//     poly2 = zsq * poly2
-//     poly1 = P_4 + zsq*poly1
-//
-(p0)   fmpy.s1 f63 = f63, f60
-	nop 999;;	// EMbo added ...
- } { .mfi
-	nop 999	// EMbo added ...
-//
-//     poly1 = P_4 + zsq * poly1
-//     swap = xor(swap,sign_X)
-//
-(p0)   fma.s1 f62 = f60, f62, f72
-	nop 999;;	// EMbo added ...
- } { .mfi
-	nop 999	// EMbo added ...
-//
-//     poly = z8*poly1 + poly2  (Typo in writeup)
-//     Is (swap) != 0 ?
-//
-//
-//     z_lo = V - A_temp * U
-//     if (p7) sigma =  1.0
-//     Writeup shows A_temp as A_hi
-//
-//
-//     z_lo = z_lo * E
-//     if (p6) sigma = -1.0
-//     z_lo = (V - A_temp * U) *E
-//
-//
-//     Fixup added to force inexact later -
-//     A_hi = A_temp + z_lo
-//     z_lo = (A_temp - A_hi) + z_lo
-//     z_lo = A_hi - z_lo -A_hi + z_lo = about 0
-//
-(p0)   fma.s1 f47 = f61, f62, f63
-	nop 999;;	// EMbo added ...
- } { .mfi
-	nop 999	// EMbo added ...
-//
-//     A_lo = z * poly + z_lo
-//
-(p0)   fma.s1 f53 = f59, f47, f64
-	nop 999;;	// EMbo added ...
- } { .mfi
-	nop 999	// EMbo added ...
-(p0)   fadd.s1  f52 = f65, f53
-	nop 999;;	// EMbo added ...
- } { .mfi
-	nop 999	// EMbo added ...
-(p0)   fsub.s1  f65 = f65, f52
-	nop 999	// EMbo added ...
- } { .mfi
-	nop 999	// EMbo added ...
-(p0)   fmpy.s1 f52 = f34, f52
-	nop 999;;	// EMbo added ...
- } { .mfi
-	nop 999	// EMbo added ...
-(p0)   fadd.s1  f53 = f65, f53
-	nop 999	// EMbo added ...
- } { .mfi
-(p0)   setf.exp f65 = r47
-(p0)   fma.s1 f56 = f54, f52, f50
-	nop 999;;	// EMbo added ...
- } { .mfi
-	nop 999	// EMbo added ...
-(p0)   fclass.m.unc  p6,p0 = f53,0x007
-	nop 999;;	// EMbo added ...
- } { .mfi
-	nop 999	// EMbo added ...
-//
-//     P_hi = s_Y * P_hi
-//     A_hi = s_Y * A_hi
-//
-//
-//     result_hi = P_hi + sigma * A_hi
-//
-(p6)   mov f53 = f65
-	nop 999	// EMbo added ...
- } { .mfi
-	nop 999	// EMbo added ...
-//
-//     tmp = P_hi - result_hi
-//
-(p0)   fsub.s1 f65 = f50, f56
-	nop 999;;	// EMbo added ...
- } { .mfi
-	nop 999	// EMbo added ...
-(p0)   fma.s1 f65 = f52, f54, f65
-	nop 999	// EMbo added ...
- } { .mfi
-	nop 999	// EMbo added ...
-//
-//     tmp   = sigma * A_hi  + tmp
-//     sigma = A_lo * sigma  + P_lo
-//
-(p0)   fma.s1 f54 = f53, f54, f51
-	nop 999;;	// EMbo added ...
- } { .mfi
-	nop 999	// EMbo added ...
-//
-//     result_lo = s_Y * sigma + tmp
-//
-(p0)   fma.s1 f55 = f34, f54, f65
-	nop 999;;	// EMbo added ...
- } { .mfb
-       nop.m 0
-       mov f34 = f1
-(p0)   br.cond.sptk L(RETURN_ATAN);;
-}
-//
-//     result  =  result_hi + result_lo  (User Supplied Rounding Mode)
-//
-//     (p0)   fadd.d.s0 f57 = f55, f56
-L(ATAN_UNSUPPORTED):
-L(ATAN_NATVAL):
- { .mfb
-	nop 999	// EMbo added ...
-//
-//     Deal with the NatVal and unsupported cases.
-//     Raise invalid if warrented.
-//
-(p0)   fmpy.d.s0 f57 = f8, f9
-br.cond.sptk L(RETURN_ATAN);;
- }
-L(ATAN_NAN):
- { .mfb
-	nop 999	// EMbo added ...
-//
-//     If only one NaN, then generate the resulting
-//     NaN and return - may raise invalid.
-//
-(p0)   fmpy.d.s0 f57 = f8, f9
-(p0)   br.cond.sptk L(RETURN_ATAN);;
- }
-L(ATAN_SPECIAL_HANDLING):
-
- { .mmf
-(p0)   addl           r39   = @ltoff(Constants_atan#), gp
-       nop.m 999
-(p0)   fcmp.lt.s0 p0,p7 = f8,f1
- } 
-;;
-
-//
-//     Raise denormal operand faults if necessary
-//
-
-{ .mfi
-       ld8 r39 = [r39]
-(p0)   fcmp.lt.s0 p0,p6 = f9,f1
-	nop 999;;	// EMbo added ...
-} 
-;;
-
-
-
-{ .mfi
-	nop 999	// EMbo added ...
-(p0)   fclass.m.unc p6,p7 = f32,0x007
-	nop 999;;	// EMbo added ...
- } { .mlx
-	nop 999	// EMbo added ...
-(p0)   movl r47 = 992;;
- } { .mib
-(p0)   add r39 = r39, r47
-	nop 999	// EMbo added ...
-(p7)   br.cond.sptk L(ATAN_ArgY_Not_ZERO);;
- } { .mfi
-	nop 999	// EMbo added ...
-(p6)   fclass.m.unc p14,p0 = f33,0x035
-	nop 999	// EMbo added ...
- } { .mfi
-	nop 999	// EMbo added ...
-(p6)   fclass.m.unc p15,p0 = f33,0x036
-	nop 999;;	// EMbo added ...
- } { .mfi
-	nop 999	// EMbo added ...
-(p6)   fclass.m.unc p13,p0 = f33,0x007
-	nop 999	// EMbo added ...
- } { .mfi
-(p0)   ldfd  f56 = [r39],8
-	nop 999	// EMbo added ...
-	nop 999;;	// EMbo added ...
- } { .mfi
-(p0)   ldfd  f55 = [r39],-8
-(p14)  fmerge.s f56 =  f32,f0
-	nop 999;;	// EMbo added ...
- } { .mfi
-	nop 999	// EMbo added ...
-//
-//     Return sign_Y * 0 when Y = +/-0 and X > 0
-//
-(p14)  fmerge.s f55 =  f32,f0
-	nop 999;;	// EMbo added ...
- } { .mfi
-	nop 999	// EMbo added ...
-(p15)  fmerge.s f56 =  f32,f56
-	nop 999;;	// EMbo added ...
- } { .mfi
-	nop 999	// EMbo added ...
-//
-//     Return sign_Y * PI when X <  -0
-//
-//
-(p15)  fmerge.s f55 =  f32,f55
-	nop 999;;	// EMbo added ...
- } { .mfi
-	nop 999	// EMbo added ...
-(p0)   fadd.d.s0 f57 = f56,f55
-      nop.i 0
- } { .bbb
-//
-//     Call error support function for atan(0,0)
-//     - expected value already computed.
-//
-    nop.b 0
-    nop.b 0
-(p0)  br.cond.sptk L(RETURN_ATAN)
- }
-L(ATAN_ArgY_Not_ZERO):
- { .mfi
-	nop 999	// EMbo added ...
-(p0)   fclass.m.unc p9,p10 = f32,0x023
-	nop 999;;	// EMbo added ...
- } { .mfb
-	nop 999	// EMbo added ...
-(p9)   fclass.m.unc p6,p0 = f33,0x017
-(p10)  br.cond.sptk L(ATAN_ArgY_Not_INF);;
- } { .mfi
-(p6)   add r39 = 16,r39
-(p9)   fclass.m.unc p7,p0 = f33,0x021
-	nop 999;;	// EMbo added ...
- } { .mmf
-	nop 999	// EMbo added ...
-(p0)   ldfd  f56 = [r39],8
-(p9)   fclass.m.unc p8,p0 = f33,0x022;;
- } { .mbb
-(p0)   ldfd  f55 = [r39],-8
-	nop 999	// EMbo added ...
-	nop 999;;	// EMbo added ...
- } { .mfi
-	nop 999	// EMbo added ...
-(p6)   fmerge.s f56 =  f32,f56
-	nop 999;;	// EMbo added ...
- } { .mfi
-	nop 999	// EMbo added ...
-(p6)   fmerge.s f55 =  f32,f55
-	nop 999;;	// EMbo added ...
- } { .mfb
-	nop 999	// EMbo added ...
-//
-//     Load I/2 and adjust its sign.
-//     Return +I/2 when ArgY = +Inf and ArgX = +/-0,normal
-//     Return -I/2 when ArgY = -Inf and ArgX = +/-0,normal
-//
-(p6)   fadd.d.s0  f57 =   f56,  f55
-(p6)   br.cond.sptk L(RETURN_ATAN);;
- } { .mmi
-(p7)   add r39 = 32,r39;;
-(p7)   ldfd  f56 = [r39],8
-	nop 999;;	// EMbo added ...
- } { .mmi
-	nop 999;;	// EMbo added ...
-(p7)   ldfd  f55 = [r39],-8
-	nop 999;;	// EMbo added ...
- } { .mfi
-	nop 999	// EMbo added ...
-(p7)   fmerge.s f56 =  f32,f56
-	nop 999;;	// EMbo added ...
- } { .mfi
-	nop 999	// EMbo added ...
-(p7)   fmerge.s f55 =  f32,f55
-	nop 999;;	// EMbo added ...
- } { .mfb
-	nop 999	// EMbo added ...
-//
-//     Load PI/4 and adjust its sign.
-//     Return +PI/4 when ArgY = +Inf and ArgX = +Inf
-//     Return -PI/4 when ArgY = -Inf and ArgX = +Inf
-//
-(p7)   fadd.d.s0  f57 =   f56,  f55
-(p7)   br.cond.sptk L(RETURN_ATAN);;
- } { .mmi
-(p8)   add r39 = 48,r39;;
-(p8)   ldfd f56 =[r39],8
-	nop 999;;	// EMbo added ...
- } { .mmi
-	nop 999;;	// EMbo added ...
-(p8)   ldfd f55 =[r39],-8
-	nop 999;;	// EMbo added ...
- } { .mfi
-	nop 999	// EMbo added ...
-(p8)   fmerge.s f56 =  f32,f56
-	nop 999;;	// EMbo added ...
- } { .mfi
-	nop 999	// EMbo added ...
-(p8)   fmerge.s f55 =  f32,f55
-	nop 999;;	// EMbo added ...
- } { .mfb
-	nop 999	// EMbo added ...
-//
-//     Load I/4 and adjust its sign.
-//     Return +3I/4 when ArgY = +Inf and ArgX = -Inf
-//     Return -3I/4 when ArgY = -Inf and ArgX = -Inf
-//
-(p8)   fadd.d.s0  f57 =   f56,  f55
-(p8)   br.cond.sptk L(RETURN_ATAN);;
- }
-L(ATAN_ArgY_Not_INF):
- { .mfi
-	nop 999	// EMbo added ...
-(p0)   fclass.m.unc  p6,p0 = f33,0x007
-	nop 999	// EMbo added ...
- } { .mfi
-	nop 999	// EMbo added ...
-(p0)   fclass.m.unc  p7,p0 = f33,0x021
-	nop 999;;	// EMbo added ...
- } { .mfi
-	nop 999	// EMbo added ...
-(p0)   fclass.m.unc  p8,p0 = f33,0x022
-(p6)   add r39 = 16,r39;;
- } { .mfi
-(p6)   ldfd f56 =[r39],8
-	nop 999	// EMbo added ...
-	nop 999;;	// EMbo added ...
- } { .mmi
-	nop 999;;	// EMbo added ...
-(p6)   ldfd f55 =[r39],-8
-	nop 999;;	// EMbo added ...
- } { .mfi
-	nop 999	// EMbo added ...
-(p6)   fmerge.s f56 =  f32,f56
-	nop 999;;	// EMbo added ...
- } { .mfi
-	nop 999	// EMbo added ...
-(p6)   fmerge.s f55 =  f32,f55
-	nop 999;;	// EMbo added ...
- } { .mfb
-	nop 999	// EMbo added ...
-//
-//     return = sign_Y * I/2 when ArgX = +/-0
-//
-(p6)   fadd.d.s0 f57 = f56, f55
-(p6)   br.cond.sptk L(RETURN_ATAN);;
- } { .mfi
-	nop 999	// EMbo added ...
-(p7)   fmerge.s f56 =  f32,f0
-	nop 999	// EMbo added ...
- } { .mfi
-	nop 999	// EMbo added ...
-(p7)   fmerge.s f55 =  f32,f0
-	nop 999;;	// EMbo added ...
- } { .mfb
-	nop 999	// EMbo added ...
-//
-//     return = sign_Y * 0 when ArgX = Inf
-//
-(p7)   fadd.d.s0 f57 = f56, f55
-(p7)   br.cond.sptk L(RETURN_ATAN);;
- } { .mfi
-(p8)   ldfd f56 = [r39],8
-	nop 999	// EMbo added ...
-	nop 999;;	// EMbo added ...
- } { .mmi
-	nop 999;;	// EMbo added ...
-(p8)   ldfd f55 = [r39],-8
-	nop 999;;	// EMbo added ...
- } { .mfi
-	nop 999	// EMbo added ...
-(p8)   fmerge.s f56 =  f32,f56
-	nop 999;;	// EMbo added ...
- } { .mfi
-	nop 999	// EMbo added ...
-(p8)   fmerge.s f55 =  f32,f55
-	nop 999;;	// EMbo added ...
- } { .mfi
-	nop 999	// EMbo added ...
-//
-//     return = sign_Y * I when ArgX = -Inf
-//
-(p8)   fadd.d.s0  f57 =   f56,  f55
-	nop 999	// EMbo added ...
- };;
-L(RETURN_ATAN):
-// mov    f8     = f57 ;;
-// The answer is in f57.
-// But Z_hi is f56
-//     Z_lo is f55
-//     s_Y  is f34
-//     W is in f9 and untouched
-
-{ .mfi
-	nop 999	
-mov    f8     = f56
-        nop.i 0
-};;
-
-{ .mfi
-	nop 999	
-mov    f10    = f55
-        nop.i 999
-}
-{ .mfb
-	nop 999	
-mov    f11    = f34
-br.ret.sptk   b0
-};;
-
-.endp __libm_atan2_reg
-ASM_SIZE_DIRECTIVE(__libm_atan2_reg)
diff --git a/sysdeps/ia64/fpu/libm_error.c b/sysdeps/ia64/fpu/libm_error.c
index ebbaad02ad..42ca36d98f 100644
--- a/sysdeps/ia64/fpu/libm_error.c
+++ b/sysdeps/ia64/fpu/libm_error.c
@@ -1,9 +1,10 @@
-//
-// Copyright (C) 2000, 2001, Intel Corporation
+/* file: libm_error.c */
+
+
+// Copyright (c) 2000 - 2003, Intel Corporation
 // All rights reserved.
 //
-// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story, James
-// Edwards, and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation.
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
 //
 // Redistribution and use in source and binary forms, with or without
 // modification, are permitted provided that the following conditions are
@@ -19,14 +20,15 @@
 // * The name of Intel Corporation may not be used to endorse or promote
 // products derived from this software without specific prior written
 // permission.
+
 //
 // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
-// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS 
 // CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
 // EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
-// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 
 // PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
 // OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
 // NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
@@ -34,19 +36,39 @@
 //
 // Intel Corporation is the author of this code, and requests that all
 // problem reports or change requests be submitted to it directly at
-// http://developer.intel.com/opensource.
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
 //
 // History
 //==============================================================
 //  2/02/00: Initial version
-//  3/22/00: Updated to support flexible and dynamic error handling.
-//  8/16/00: Changed all matherr function-calls to use the pmatherr
+//  3/22/00: Updated to support flexible and dynamic error handling. 
+//  8/16/00: Changed all matherr function-calls to use the pmatherr 
 //           function-pointers.
 // 10/03/00: Corrected a scalb type.
 // 11/28/00: Changed INPUT_XL to INPUT_XD for scalb_underflow case.
 // 12/07/00: Added code to make scalbn error support equivalent to ldexp.
 //  2/07/01: Added __declspec(align(16)) to long double constants to correct
 //           alignment problem.
+//  4/23/01: Added code for remquo
+//  6/07/01: Added code for fdim, lrint, lround, llrint, llround
+//           Deleted code for remquo
+//  8/15/01: Added code for scalbln, nexttoward
+// 12/10/01: Added code for erfc
+// 12/27/01: Added code for degree argument functions
+// 01/02/02: Added code for tand, cotd
+// 01/15/02: Corrected SVID/XOPEN code for log1p, pow, and acosh
+// 01/25/02: Corrected ISOC for lgamma and gamma to return EDOM for neg ints
+// 01/28/02: Corrected SVID/XOPEN stderr message for log2
+// 05/20/02: Added code for cot
+// 07/01/02: Added code for sinhcosh
+// 10/04/02: Underflow detection in ISOC path redefined to 
+//           be zero rather than tiny and inexact  
+// 12/06/02: Added code for annuity and compound
+// 01/30/03: Corrected test for underflow in ISOC path to not set denormal
+// 04/10/03: Corrected ISOC branch for gamma/lgamma to return ERANGE for neg ints.
+//           Added code for tgamma
+// 04/11/03: Corrected POSIX/SVID/XOPEN branches for gamma/lgamma 
+//           to return EDOM for neg ints.
 //
 
 #include <errno.h>
@@ -54,38 +76,41 @@
 #include <stdlib.h>
 #include "libm_support.h"
 
-#ifndef _LIBC
+#ifdef _LIBC
+# define pmatherr matherr
+# define pmatherrf matherrf
+# define pmatherrl matherrl
+#else
 _LIB_VERSION_TYPE
 #if defined( __POSIX__ )
-_LIB_VERSION = _POSIX_;
+_LIB_VERSIONIMF = _POSIX_;
 #elif defined( __XOPEN__ )
-_LIB_VERSION = _XOPEN_;
+_LIB_VERSIONIMF = _XOPEN_;
 #elif defined( __SVID__ )
-_LIB_VERSION = _SVID_;
+_LIB_VERSIONIMF = _SVID_;
 #elif defined( __IEEE__ )
-_LIB_VERSION = _IEEE_;
+_LIB_VERSIONIMF = _IEEE_;
 #else
-_LIB_VERSION = _ISOC_;
-#endif
+_LIB_VERSIONIMF = _ISOC_;
 #endif
 
 /************************************************************/
 /* matherrX function pointers and setusermatherrX functions */
 /************************************************************/
-#if 0
 int (*pmatherrf)(struct exceptionf*) = MATHERR_F;
 int (*pmatherr)(struct EXC_DECL_D*) = MATHERR_D;
 int (*pmatherrl)(struct exceptionl*) = matherrl;
 
 void __libm_setusermatherrf( int(*user_merrf)(struct exceptionf*) )
-{      pmatherrf = ( (user_merrf==NULL)? (MATHERR_F) : (user_merrf) ); }
+{	pmatherrf = ( (user_merrf==NULL)? (MATHERR_F) : (user_merrf) );	}
 
 void __libm_setusermatherr( int(*user_merr)(struct EXC_DECL_D*) )
-{      pmatherr = ( (user_merr==NULL)? (MATHERR_D) : (user_merr) );    }
+{	pmatherr = ( (user_merr==NULL)? (MATHERR_D) : (user_merr) );	}
 
 void __libm_setusermatherrl( int(*user_merrl)(struct exceptionl*) )
-{      pmatherrl = ( (user_merrl==NULL)? (matherrl) : (user_merrl) );  }
-#endif
+{	pmatherrl = ( (user_merrl==NULL)? (matherrl) : (user_merrl) );	}
+
+#endif /* !_LIBC */
 
 /***********************************************/
 /* error-handling function, libm_error_support */
@@ -93,22 +118,27 @@ void __libm_setusermatherrl( int(*user_merrl)(struct exceptionl*) )
 void __libm_error_support(void *arg1,void *arg2,void *retval,error_types input_tag)
 {
 
-
 # ifdef __cplusplus
 struct __exception exc;
-# else
+# else 
 struct exception  exc;
-# endif
+# endif 
 
 struct exceptionf excf;
 struct exceptionl excl;
 
-# if defined opensource || defined _LIBC
+# if defined(__GNUC__)
+#define ALIGNIT __attribute__ ((__aligned__ (16)))
+# elif defined opensource
 #define ALIGNIT
-#define ALIGNATTR __attribute__ ((__aligned__ (16)))
 # else
 #define ALIGNIT __declspec(align(16))
-#define ALIGNATTR
+# endif
+
+# ifdef SIZE_LONG_INT_64
+#define __INT_64__ signed long
+# else 
+#define __INT_64__ __int64
 # endif
 
 const char float_inf[4] = {0x00,0x00,0x80,0x7F};
@@ -118,66 +148,74 @@ const char float_neg_inf[4] = {0x00,0x00,0x80,0xFF};
 const char float_neg_huge[4] = {0xFF,0xFF,0x7F,0xFF};
 const char float_neg_zero[4] = {0x00,0x00,0x00,0x80};
 ALIGNIT
-const char double_inf[8] ALIGNATTR = {0x00,0x00,0x00,0x00,0x00,0x00,0xF0,0x7F};
+const char double_inf[8] = {0x00,0x00,0x00,0x00,0x00,0x00,0xF0,0x7F}; 
+#if 0 /* unused */
 ALIGNIT
-//const char double_huge[8] ALIGNATTR = {0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xEF,0x7F};
+const char double_huge[8] = {0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xEF,0x7F};
+#endif
 ALIGNIT
-const char double_zero[8] ALIGNATTR = {0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00};
+const char double_zero[8] = {0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00};
 ALIGNIT
-const char double_neg_inf[8] ALIGNATTR = {0x00,0x00,0x00,0x00,0x00,0x00,0xF0,0xFF};
+const char double_neg_inf[8] = {0x00,0x00,0x00,0x00,0x00,0x00,0xF0,0xFF}; 
+#if 0 /* unused */
 ALIGNIT
-//const char double_neg_huge[8] ALIGNATTR = {0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xEF,0xFF};
+const char double_neg_huge[8] = {0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xEF,0xFF};
+#endif
 ALIGNIT
-const char double_neg_zero[8] ALIGNATTR = {0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x80};
+const char double_neg_zero[8] = {0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x80};
 ALIGNIT
-const char long_double_inf[16] ALIGNATTR = {0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x80,0xFF,0x7F,0x00,0x00,0x00,0x00,0x00,0x00};
+const char long_double_inf[16] = {0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x80,0xFF,0x7F,0x00,0x00,0x00,0x00,0x00,0x00}; 
+#if 0 /* unused */
 ALIGNIT
-//const char long_double_huge[16] ALIGNATTR = {0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFE,0x7F,0x00,0x00,0x00,0x00,0x00,0x00};
+const char long_double_huge[16] = {0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFE,0x7F,0x00,0x00,0x00,0x00,0x00,0x00};
+#endif
 ALIGNIT
-const char long_double_zero[16] ALIGNATTR = {0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00};
+const char long_double_zero[16] = {0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00};
 ALIGNIT
-const char long_double_neg_inf[16] ALIGNATTR = {0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x80,0xFF,0xFF,0x00,0x00,0x00,0x00,0x00,0x00};
+const char long_double_neg_inf[16] = {0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x80,0xFF,0xFF,0x00,0x00,0x00,0x00,0x00,0x00}; 
+#if 0 /* unused */
 ALIGNIT
-//const char long_double_neg_huge[16] ALIGNATTR = {0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF, 0xFE,0xFF,0x00,0x00,0x00,0x00,0x00,0x00};
+const char long_double_neg_huge[16] = {0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFE,0xFF,0x00,0x00,0x00,0x00,0x00,0x00};
+#endif
 ALIGNIT
-const char long_double_neg_zero[16] ALIGNATTR = {0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00, 0x00,0x80,0x00,0x00,0x00,0x00,0x00,0x00};
+const char long_double_neg_zero[16] = {0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x80,0x00,0x00,0x00,0x00,0x00,0x00};
 
-#define RETVAL_HUGE_VALL *(long double *)retval =  *(long double *)long_double_inf
-#define RETVAL_NEG_HUGE_VALL *(long double *)retval = *(long double *)long_double_neg_inf
-#define RETVAL_HUGEL *(long double *)retval = (long double)*(float *)float_huge
-#define RETVAL_NEG_HUGEL *(long double *)retval =(long double)*(float*)float_neg_huge
+#define RETVAL_HUGE_VALL *(long double *)retval =  *(long double *)long_double_inf 
+#define RETVAL_NEG_HUGE_VALL *(long double *)retval = *(long double *)long_double_neg_inf 
+#define RETVAL_HUGEL *(long double *)retval = (long double)*(float *)float_huge 
+#define RETVAL_NEG_HUGEL *(long double *)retval =(long double)*(float*)float_neg_huge 
 
 #define RETVAL_HUGE_VALD *(double *)retval = *(double *) double_inf
 #define RETVAL_NEG_HUGE_VALD *(double *)retval = *(double *) double_neg_inf
 #define RETVAL_HUGED *(double *)retval = (double) *(float *)float_huge
-#define RETVAL_NEG_HUGED *(double *)retval = (double) *(float *) float_neg_huge
+#define RETVAL_NEG_HUGED *(double *)retval = (double) *(float *) float_neg_huge 
 
 #define RETVAL_HUGE_VALF *(float *)retval =  *(float *) float_inf
 #define RETVAL_NEG_HUGE_VALF *(float *)retval = *(float *) float_neg_inf
 #define RETVAL_HUGEF *(float *)retval = *(float *) float_huge
-#define RETVAL_NEG_HUGEF *(float *)retval = *(float *) float_neg_huge
+#define RETVAL_NEG_HUGEF *(float *)retval = *(float *) float_neg_huge 
 
-#define RETVAL_ZEROL *(long double *)retval = *(long double *)long_double_zero
-#define RETVAL_ZEROD *(double *)retval = *(double *)double_zero
-#define RETVAL_ZEROF *(float *)retval = *(float *)float_zero
+#define RETVAL_ZEROL *(long double *)retval = *(long double *)long_double_zero 
+#define RETVAL_ZEROD *(double *)retval = *(double *)double_zero 
+#define RETVAL_ZEROF *(float *)retval = *(float *)float_zero 
 
-#define RETVAL_NEG_ZEROL *(long double *)retval = *(long double *)long_double_neg_zero
-#define RETVAL_NEG_ZEROD *(double *)retval = *(double *)double_neg_zero
-#define RETVAL_NEG_ZEROF *(float *)retval = *(float *)float_neg_zero
+#define RETVAL_NEG_ZEROL *(long double *)retval = *(long double *)long_double_neg_zero 
+#define RETVAL_NEG_ZEROD *(double *)retval = *(double *)double_neg_zero 
+#define RETVAL_NEG_ZEROF *(float *)retval = *(float *)float_neg_zero 
 
-#define RETVAL_ONEL *(long double *)retval = (long double) 1.0
-#define RETVAL_ONED *(double *)retval = 1.0
-#define RETVAL_ONEF *(float *)retval = 1.0f
+#define RETVAL_ONEL *(long double *)retval = (long double) 1.0 
+#define RETVAL_ONED *(double *)retval = 1.0 
+#define RETVAL_ONEF *(float *)retval = 1.0f 
 
-#define NOT_MATHERRL excl.arg1=*(long double *)arg1;excl.arg2=*(long double *)arg2;excl.retval=*(long double *)retval;if(!matherrl(&excl))
-#define NOT_MATHERRD exc.arg1=*(double *)arg1;exc.arg2=*(double *)arg2;exc.retval=*(double *)retval;if(!MATHERR_D(&exc))
-#define NOT_MATHERRF excf.arg1=*(float *)arg1;excf.arg2=*(float *)arg2;excf.retval=*(float *)retval;if(!MATHERR_F(&excf))
+#define NOT_MATHERRL excl.arg1=*(long double *)arg1;excl.arg2=*(long double *)arg2;excl.retval=*(long double *)retval;if(!pmatherrl(&excl))
+#define NOT_MATHERRD exc.arg1=*(double *)arg1;exc.arg2=*(double *)arg2;exc.retval=*(double *)retval;if(!pmatherr(&exc))
+#define NOT_MATHERRF excf.arg1=*(float *)arg1;excf.arg2=*(float *)arg2;excf.retval=*(float *)retval;if(!pmatherrf(&excf))
 
-#define ifSVID if(_LIB_VERSION==_SVID_)
+#define ifSVID if(_LIB_VERSIONIMF==_SVID_)
 
-#define NAMEL excl.name
-#define NAMED exc.name
-#define NAMEF excf.name
+#define NAMEL excl.name  
+#define NAMED exc.name  
+#define NAMEF excf.name  
 
 //
 // These should work OK for MS because they are ints -
@@ -192,28 +230,28 @@ const char long_double_neg_zero[16] ALIGNATTR = {0x00,0x00,0x00,0x00,0x00,0x00,0
 #define PLOSS           6
 
 #define SINGL excl.type = SING
-#define DOMAINL excl.type = DOMAIN
-#define OVERFLOWL excl.type = OVERFLOW
-#define UNDERFLOWL excl.type = UNDERFLOW
-#define TLOSSL excl.type = TLOSS
+#define DOMAINL excl.type = DOMAIN 
+#define OVERFLOWL excl.type = OVERFLOW 
+#define UNDERFLOWL excl.type = UNDERFLOW 
+#define TLOSSL excl.type = TLOSS 
 #define SINGD exc.type = SING
-#define DOMAIND exc.type = DOMAIN
-#define OVERFLOWD exc.type = OVERFLOW
-#define UNDERFLOWD exc.type = UNDERFLOW
-#define TLOSSD exc.type = TLOSS
+#define DOMAIND exc.type = DOMAIN 
+#define OVERFLOWD exc.type = OVERFLOW 
+#define UNDERFLOWD exc.type = UNDERFLOW 
+#define TLOSSD exc.type = TLOSS 
 #define SINGF excf.type = SING
-#define DOMAINF excf.type = DOMAIN
-#define OVERFLOWF excf.type = OVERFLOW
-#define UNDERFLOWF excf.type = UNDERFLOW
-#define TLOSSF excf.type = TLOSS
+#define DOMAINF excf.type = DOMAIN 
+#define OVERFLOWF excf.type = OVERFLOW 
+#define UNDERFLOWF excf.type = UNDERFLOW 
+#define TLOSSF excf.type = TLOSS 
 
 #define INPUT_XL (excl.arg1=*(long double*)arg1)
 #define INPUT_XD (exc.arg1=*(double*)arg1)
 #define INPUT_XF (excf.arg1=*(float*)arg1)
-#define INPUT_YL (excl.arg1=*(long double*)arg2)
-#define INPUT_YD (exc.arg1=*(double*)arg2)
-#define INPUT_YF (excf.arg1=*(float*)arg2)
-#define INPUT_RESL (*(long double *)retval)
+#define INPUT_YL (excl.arg2=*(long double*)arg2)
+#define INPUT_YD (exc.arg2=*(double*)arg2)
+#define INPUT_YF (excf.arg2=*(float*)arg2)
+#define INPUT_RESL (*(long double *)retval) 
 #define INPUT_RESD (*(double *)retval)
 #define INPUT_RESF (*(float *)retval)
 
@@ -248,11 +286,17 @@ const char long_double_neg_zero[16] ALIGNATTR = {0x00,0x00,0x00,0x00,0x00,0x00,0
 #define WRITED_LOG1P_NEGATIVE fputs("log1p: DOMAIN error\n",stderr)
 #define WRITEF_LOG1P_NEGATIVE fputs("log1pf: DOMAIN error\n",stderr)
 #define WRITEL_LOG10_ZERO fputs("log10l: SING error\n",stderr)
-#define WRITED_LOG10_ZERO fputs("log10: SING error\n",stderr)
+#define WRITED_LOG10_ZERO fputs("log10: SING error\n",stderr) 
 #define WRITEF_LOG10_ZERO fputs("log10f: SING error\n",stderr)
 #define WRITEL_LOG10_NEGATIVE fputs("log10l: DOMAIN error\n",stderr)
 #define WRITED_LOG10_NEGATIVE fputs("log10: DOMAIN error\n",stderr)
 #define WRITEF_LOG10_NEGATIVE fputs("log10f: DOMAIN error\n",stderr)
+#define WRITEL_LOG2_ZERO fputs("log2l: SING error\n",stderr)
+#define WRITED_LOG2_ZERO fputs("log2: SING error\n",stderr) 
+#define WRITEF_LOG2_ZERO fputs("log2f: SING error\n",stderr)
+#define WRITEL_LOG2_NEGATIVE fputs("log2l: DOMAIN error\n",stderr)
+#define WRITED_LOG2_NEGATIVE fputs("log2: DOMAIN error\n",stderr)
+#define WRITEF_LOG2_NEGATIVE fputs("log2f: DOMAIN error\n",stderr)
 #define WRITEL_POW_ZERO_TO_ZERO fputs("powl(0,0): DOMAIN error\n",stderr)
 #define WRITED_POW_ZERO_TO_ZERO fputs("pow(0,0): DOMAIN error\n",stderr)
 #define WRITEF_POW_ZERO_TO_ZERO fputs("powf(0,0): DOMAIN error\n",stderr)
@@ -295,6 +339,9 @@ const char long_double_neg_zero[16] ALIGNATTR = {0x00,0x00,0x00,0x00,0x00,0x00,0
 #define WRITEL_GAMMA_NEGATIVE fputs("gammal: SING error\n",stderr)
 #define WRITED_GAMMA_NEGATIVE fputs("gamma: SING error\n",stderr)
 #define WRITEF_GAMMA_NEGATIVE fputs("gammaf: SING error\n",stderr)
+#define WRITEL_TGAMMA_NEGATIVE fputs("tgammal: DOMAIN error\n",stderr)
+#define WRITED_TGAMMA_NEGATIVE fputs("tgamma: DOMAIN error\n",stderr)
+#define WRITEF_TGAMMA_NEGATIVE fputs("tgammaf: DOMAIN error\n",stderr)
 #define WRITEL_J0_TLOSS  fputs("j0l: TLOSS error\n",stderr)
 #define WRITEL_Y0_TLOSS  fputs("y0l: TLOSS error\n",stderr)
 #define WRITEL_J1_TLOSS  fputs("j1l: TLOSS error\n",stderr)
@@ -313,16 +360,26 @@ const char long_double_neg_zero[16] ALIGNATTR = {0x00,0x00,0x00,0x00,0x00,0x00,0
 #define WRITEF_Y1_TLOSS  fputs("y1f: TLOSS error\n",stderr)
 #define WRITEF_JN_TLOSS  fputs("jnf: TLOSS error\n",stderr)
 #define WRITEF_YN_TLOSS  fputs("ynf: TLOSS error\n",stderr)
+#define WRITEL_ACOSD fputs("acosdl: DOMAIN error\n",stderr)
+#define WRITED_ACOSD fputs("acosd: DOMAIN error\n",stderr)
+#define WRITEF_ACOSD fputs("acosdf: DOMAIN error\n",stderr)
+#define WRITEL_ASIND fputs("asindl: DOMAIN error\n",stderr)
+#define WRITED_ASIND fputs("asind: DOMAIN error\n",stderr)
+#define WRITEF_ASIND fputs("asindf: DOMAIN error\n",stderr)
+#define WRITEL_ATAN2D_ZERO_BY_ZERO fputs("atan2dl: DOMAIN error\n",stderr)
+#define WRITED_ATAN2D_ZERO_BY_ZERO fputs("atan2d: DOMAIN error\n",stderr)
+#define WRITEF_ATAN2D_ZERO_BY_ZERO fputs("atan2df: DOMAIN error\n",stderr)
+
 
 /***********************/
 /* IEEE Path           */
 /***********************/
-if(_LIB_VERSION==_IEEE_) return;
+if(_LIB_VERSIONIMF==_IEEE_) return;
 
 /***********************/
 /* C9X Path           */
 /***********************/
-else if(_LIB_VERSION==_ISOC_)
+else if(_LIB_VERSIONIMF==_ISOC_) 
 {
   switch(input_tag)
   {
@@ -339,80 +396,146 @@ else if(_LIB_VERSION==_ISOC_)
     case log1p_zero:
     case log1pf_zero:
     case powl_overflow:
-    case pow_overflow:
-    case powf_overflow:
-    case powl_underflow:
-    case pow_underflow:
-    case powf_underflow:
+    case pow_overflow:  
+    case powf_overflow: 
     case expl_overflow:
-    case exp_overflow:
-    case expf_overflow:
-    case expl_underflow:
-    case exp_underflow:
-    case expf_underflow:
+    case exp_overflow:  
+    case expf_overflow: 
     case exp2l_overflow:
-    case exp2_overflow:
-    case exp2f_overflow:
-    case exp2l_underflow:
-    case exp2_underflow:
-    case exp2f_underflow:
+    case exp2_overflow:  
+    case exp2f_overflow: 
     case exp10l_overflow:
-    case exp10_overflow:
-    case exp10f_overflow:
+    case exp10_overflow:  
+    case exp10f_overflow: 
     case expm1l_overflow:
-    case expm1_overflow:
-    case expm1f_overflow:
+    case expm1_overflow:  
+    case expm1f_overflow: 
     case hypotl_overflow:
     case hypot_overflow:
     case hypotf_overflow:
-    case sinhl_overflow:
-    case sinh_overflow:
-    case sinhf_overflow:
-    case atanhl_eq_one:
-    case atanh_eq_one:
-    case atanhf_eq_one:
+    case sinhl_overflow: 
+    case sinh_overflow: 
+    case sinhf_overflow: 
+    case atanhl_eq_one:  
+    case atanh_eq_one:  
+    case atanhf_eq_one:  
     case scalbl_overflow:
     case scalb_overflow:
     case scalbf_overflow:
-    case scalbl_underflow:
-    case scalb_underflow:
-    case scalbf_underflow:
     case coshl_overflow:
     case cosh_overflow:
     case coshf_overflow:
     case nextafterl_overflow:
     case nextafter_overflow:
     case nextafterf_overflow:
+    case nexttowardl_overflow:
+    case nexttoward_overflow:
+    case nexttowardf_overflow:
     case scalbnl_overflow:
     case scalbn_overflow:
     case scalbnf_overflow:
-    case scalbnl_underflow:
-    case scalbn_underflow:
-    case scalbnf_underflow:
+    case scalblnl_overflow:
+    case scalbln_overflow:
+    case scalblnf_overflow:
     case ldexpl_overflow:
     case ldexp_overflow:
     case ldexpf_overflow:
-    case ldexpl_underflow:
-    case ldexp_underflow:
-    case ldexpf_underflow:
     case lgammal_overflow:
     case lgamma_overflow:
     case lgammaf_overflow:
-    case lgammal_negative:
-    case lgamma_negative:
-    case lgammaf_negative:
     case gammal_overflow:
     case gamma_overflow:
     case gammaf_overflow:
+    case lgammal_negative:
+    case lgamma_negative:
+    case lgammaf_negative:
     case gammal_negative:
     case gamma_negative:
     case gammaf_negative:
     case ilogbl_zero:
-    case ilogb_zero:
+    case ilogb_zero: 
     case ilogbf_zero:
+    case fdiml_overflow:
+    case fdim_overflow: 
+    case fdimf_overflow:
+    case llrintl_large:
+    case llrint_large: 
+    case llrintf_large:
+    case llroundl_large:
+    case llround_large: 
+    case llroundf_large:
+    case lrintl_large:
+    case lrint_large: 
+    case lrintf_large:
+    case lroundl_large:
+    case lround_large: 
+    case lroundf_large:
+    case tandl_overflow:
+    case tand_overflow: 
+    case tandf_overflow:
+    case cotdl_overflow:
+    case cotd_overflow: 
+    case cotdf_overflow:
+    case cotl_overflow:
+    case cot_overflow: 
+    case cotf_overflow:
+    case sinhcoshl_overflow: 
+    case sinhcosh_overflow: 
+    case sinhcoshf_overflow: 
+    case annuityl_overflow:
+    case annuity_overflow:
+    case annuityf_overflow:
+    case compoundl_overflow:
+    case compound_overflow:
+    case compoundf_overflow:
+    case tgammal_overflow:
+    case tgamma_overflow:
+    case tgammaf_overflow:
     {
          ERRNO_RANGE; break;
     }
+    case powl_underflow:
+    case expl_underflow:
+    case exp2l_underflow:
+    case scalbl_underflow:
+    case scalbnl_underflow:
+    case scalblnl_underflow:
+    case ldexpl_underflow:
+    case erfcl_underflow:
+    case annuityl_underflow:
+    case compoundl_underflow:
+    {
+       if ( *(__INT_64__*)retval == 0 ) ERRNO_RANGE; 
+       break;
+    }
+    case pow_underflow:  
+    case exp_underflow:  
+    case exp2_underflow:  
+    case scalb_underflow:
+    case scalbn_underflow:
+    case scalbln_underflow:
+    case ldexp_underflow:
+    case erfc_underflow:  
+    case annuity_underflow:
+    case compound_underflow:
+    {
+       if ( ((*(__INT_64__*)retval)<<1) == 0 ) ERRNO_RANGE; 
+       break;
+    }
+    case powf_underflow: 
+    case expf_underflow: 
+    case exp2f_underflow: 
+    case scalbf_underflow:
+    case scalbnf_underflow:
+    case scalblnf_underflow:
+    case ldexpf_underflow:
+    case erfcf_underflow: 
+    case annuityf_underflow:
+    case compoundf_underflow:
+    {
+       if ( ((*(__INT_64__*)retval)<<33) == 0 ) ERRNO_RANGE; 
+       break;
+    }
     case logl_negative:
     case log_negative:
     case logf_negative:
@@ -440,17 +563,17 @@ else if(_LIB_VERSION==_ISOC_)
     case fmodl_by_zero:
     case fmod_by_zero:
     case fmodf_by_zero:
-    case atanhl_gt_one:
-    case atanh_gt_one:
-    case atanhf_gt_one:
-    case acosl_gt_one:
-    case acos_gt_one:
-    case acosf_gt_one:
-    case asinl_gt_one:
-    case asin_gt_one:
-    case asinf_gt_one:
+    case atanhl_gt_one:  
+    case atanh_gt_one:  
+    case atanhf_gt_one:  
+    case acosl_gt_one: 
+    case acos_gt_one: 
+    case acosf_gt_one: 
+    case asinl_gt_one: 
+    case asin_gt_one: 
+    case asinf_gt_one: 
     case logbl_zero:
-    case logb_zero:
+    case logb_zero: 
     case logbf_zero:
     case acoshl_lt_one:
     case acosh_lt_one:
@@ -473,6 +596,30 @@ else if(_LIB_VERSION==_ISOC_)
     case ynl_negative:
     case yn_negative:
     case ynf_negative:
+    case acosdl_gt_one: 
+    case acosd_gt_one: 
+    case acosdf_gt_one: 
+    case asindl_gt_one: 
+    case asind_gt_one: 
+    case asindf_gt_one: 
+    case atan2dl_zero:
+    case atan2d_zero:
+    case atan2df_zero:
+    case annuityl_by_zero:
+    case annuity_by_zero:
+    case annuityf_by_zero:
+    case annuityl_less_m1:
+    case annuity_less_m1:
+    case annuityf_less_m1:
+    case compoundl_by_zero:
+    case compound_by_zero:
+    case compoundf_by_zero:
+    case compoundl_less_m1:
+    case compound_less_m1:
+    case compoundf_less_m1:
+    case tgammal_negative:
+    case tgamma_negative:
+    case tgammaf_negative:
     {
          ERRNO_DOMAIN; break;
     }
@@ -486,31 +633,37 @@ else if(_LIB_VERSION==_ISOC_)
 /* _POSIX_ Path        */
 /***********************/
 
-else if(_LIB_VERSION==_POSIX_)
+else if(_LIB_VERSIONIMF==_POSIX_)
 {
 switch(input_tag)
   {
   case gammal_overflow:
   case lgammal_overflow:
+  case tgammal_overflow:
   {
        RETVAL_HUGE_VALL; ERRNO_RANGE; break;
   }
   case gamma_overflow:
   case lgamma_overflow:
+  case tgamma_overflow:
   {
        RETVAL_HUGE_VALD; ERRNO_RANGE; break;
   }
   case gammaf_overflow:
   case lgammaf_overflow:
+  case tgammaf_overflow:
   {
        RETVAL_HUGE_VALF; ERRNO_RANGE; break;
   }
   case gammal_negative:
-  case gamma_negative:
-  case gammaf_negative:
   case lgammal_negative:
+  case gamma_negative:
   case lgamma_negative:
+  case gammaf_negative:
   case lgammaf_negative:
+  case tgammal_negative:
+  case tgamma_negative:
+  case tgammaf_negative:
   {
        ERRNO_DOMAIN; break;
   }
@@ -526,38 +679,56 @@ switch(input_tag)
   case scalbn_underflow:
   case scalbnf_overflow:
   case scalbnf_underflow:
+  case scalblnl_overflow:
+  case scalblnl_underflow:
+  case scalbln_overflow:
+  case scalbln_underflow:
+  case scalblnf_overflow:
+  case scalblnf_underflow:
+  case tandl_overflow:
+  case tand_overflow: 
+  case tandf_overflow:
+  case cotdl_overflow:
+  case cotd_overflow: 
+  case cotdf_overflow:
+  case cotl_overflow:
+  case cot_overflow: 
+  case cotf_overflow:
+  case sinhcoshl_overflow: 
+  case sinhcosh_overflow: 
+  case sinhcoshf_overflow: 
   {
        ERRNO_RANGE; break;
   }
-  case atanhl_gt_one:
-  case atanhl_eq_one:
+  case atanhl_gt_one: 
+  case atanhl_eq_one: 
     /* atanhl(|x| >= 1) */
     {
        ERRNO_DOMAIN; break;
     }
-  case atanh_gt_one:
-  case atanh_eq_one:
+  case atanh_gt_one: 
+  case atanh_eq_one: 
     /* atanh(|x| >= 1) */
     {
        ERRNO_DOMAIN; break;
     }
-  case atanhf_gt_one:
-  case atanhf_eq_one:
+  case atanhf_gt_one: 
+  case atanhf_eq_one: 
     /* atanhf(|x| >= 1) */
     {
        ERRNO_DOMAIN; break;
     }
-  case sqrtl_negative:
+  case sqrtl_negative: 
     /* sqrtl(x < 0) */
     {
        ERRNO_DOMAIN; break;
     }
-  case sqrt_negative:
+  case sqrt_negative: 
     /* sqrt(x < 0) */
     {
        ERRNO_DOMAIN; break;
     }
-  case sqrtf_negative:
+  case sqrtf_negative: 
     /* sqrtf(x < 0) */
     {
        ERRNO_DOMAIN; break;
@@ -606,7 +777,7 @@ switch(input_tag)
     /* yn(x < 0) */
     {
        RETVAL_NEG_HUGE_VALD; ERRNO_DOMAIN; break;
-    }
+    } 
   case y0f_negative:
   case y1f_negative:
   case ynf_negative:
@@ -615,10 +786,11 @@ switch(input_tag)
     /* ynf(x < 0) */
     {
        RETVAL_NEG_HUGE_VALF; ERRNO_DOMAIN; break;
-    }
+    } 
   case logl_zero:
   case log1pl_zero:
   case log10l_zero:
+  case log2l_zero:
     /* logl(0) */
     /* log1pl(0) */
     /* log10l(0) */
@@ -628,7 +800,7 @@ switch(input_tag)
   case log_zero:
   case log1p_zero:
   case log10_zero:
-  case log2l_zero:
+  case log2_zero:
    /* log(0) */
    /* log1p(0) */
    /* log10(0) */
@@ -638,6 +810,7 @@ switch(input_tag)
   case logf_zero:
   case log1pf_zero:
   case log10f_zero:
+  case log2f_zero:
     /* logf(0) */
     /* log1pf(0) */
     /* log10f(0) */
@@ -652,6 +825,9 @@ switch(input_tag)
     /* log1pl(x < 0) */
     /* log10l(x < 0) */
     {
+#ifndef _LIBC
+       RETVAL_NEG_HUGE_VALL;
+#endif
        ERRNO_DOMAIN; break;
     }
   case log_negative:
@@ -662,8 +838,11 @@ switch(input_tag)
     /* log1p(x < 0) */
     /* log10(x < 0) */
     {
+#ifndef _LIBC
+       RETVAL_NEG_HUGE_VALD;
+#endif
        ERRNO_DOMAIN; break;
-    }
+    } 
   case logf_negative:
   case log1pf_negative:
   case log10f_negative:
@@ -672,34 +851,46 @@ switch(input_tag)
     /* log1pf(x < 0) */
     /* log10f(x < 0) */
     {
+#ifndef _LIBC
+       RETVAL_NEG_HUGE_VALF;
+#endif
        ERRNO_DOMAIN; break;
-    }
+    } 
   case expl_overflow:
+  case exp2l_overflow:
+  case exp10l_overflow:
     /* expl overflow */
     {
        RETVAL_HUGE_VALL; ERRNO_RANGE; break;
     }
   case exp_overflow:
+  case exp2_overflow:
+  case exp10_overflow:
     /* exp overflow */
     {
        RETVAL_HUGE_VALD; ERRNO_RANGE; break;
     }
   case expf_overflow:
+  case exp2f_overflow:
+  case exp10f_overflow:
     /* expf overflow */
     {
        RETVAL_HUGE_VALF; ERRNO_RANGE; break;
     }
   case expl_underflow:
+  case exp2l_underflow:
     /* expl underflow */
     {
        RETVAL_ZEROL; ERRNO_RANGE; break;
     }
   case exp_underflow:
+  case exp2_underflow:
     /* exp underflow */
     {
        RETVAL_ZEROD; ERRNO_RANGE; break;
     }
   case expf_underflow:
+  case exp2f_underflow:
     /* expf underflow */
     {
        RETVAL_ZEROF; ERRNO_RANGE; break;
@@ -750,13 +941,17 @@ switch(input_tag)
        break;
     }
   case powl_overflow:
+  case annuityl_overflow:
+  case compoundl_overflow:
     /* powl(x,y) overflow */
     {
        if (INPUT_RESL < 0) RETVAL_NEG_HUGE_VALL;
        else RETVAL_HUGE_VALL;
-       ERRNO_RANGE; break;
+       ERRNO_RANGE; break; 
     }
   case pow_overflow:
+  case annuity_overflow:
+  case compound_overflow:
     /* pow(x,y) overflow */
     {
        if (INPUT_RESD < 0) RETVAL_NEG_HUGE_VALD;
@@ -764,6 +959,8 @@ switch(input_tag)
        ERRNO_RANGE; break;
     }
   case powf_overflow:
+  case annuityf_overflow:
+  case compoundf_overflow:
     /* powf(x,y) overflow */
     {
        if (INPUT_RESF < 0) RETVAL_NEG_HUGE_VALF;
@@ -771,20 +968,41 @@ switch(input_tag)
        ERRNO_RANGE; break;
     }
   case powl_underflow:
+  case annuityl_underflow:
+  case compoundl_underflow:
     /* powl(x,y) underflow */
     {
        RETVAL_ZEROL; ERRNO_RANGE; break;
     }
   case pow_underflow:
+  case annuity_underflow:
+  case compound_underflow:
     /* pow(x,y) underflow */
     {
        RETVAL_ZEROD; ERRNO_RANGE; break;
     }
-  case  powf_underflow:
+  case powf_underflow:
+  case annuityf_underflow:
+  case compoundf_underflow:
     /* powf(x,y) underflow */
     {
        RETVAL_ZEROF; ERRNO_RANGE; break;
     }
+  case annuityl_by_zero:
+  case annuityl_less_m1:
+  case compoundl_by_zero:
+  case compoundl_less_m1:
+  case annuity_by_zero:
+  case annuity_less_m1:
+  case compound_by_zero:
+  case compound_less_m1:
+  case annuityf_by_zero:
+  case annuityf_less_m1:
+  case compoundf_by_zero:
+  case compoundf_less_m1:
+    {
+       ERRNO_DOMAIN; break;
+    }
   case powl_zero_to_negative:
     /* 0**neg */
     {
@@ -820,7 +1038,7 @@ switch(input_tag)
     /* Special Error */
     {
        break;
-    }
+    } 
   case  pow_nan_to_zero:
     /* pow(NaN,0.0) */
     {
@@ -832,36 +1050,51 @@ switch(input_tag)
        break;
     }
   case atan2l_zero:
-    /* atan2l(0,0) */
+  case atan2dl_zero:
+    /* atan2dl(0,0) */
     {
-      /* XXX  arg1 and arg2 are switched!!!!  */
+#ifndef _LIBC
+       RETVAL_ZEROL;
+#else
+       /* XXX  arg1 and arg2 are switched!!!!  */
        if (signbit (*(long double *) arg1))
 	 /* y == -0 */
-	 *(long double *) retval = copysignl (M_PIl, *(long double *) arg2);
+	 *(long double *) retval = __libm_copysignl (M_PIl, *(long double *) arg2);
        else
 	 *(long double *) retval = *(long double *) arg2;
+#endif
        ERRNO_DOMAIN; break;
     }
   case atan2_zero:
-    /* atan2(0,0) */
+  case atan2d_zero:
+    /* atan2d(0,0) */
     {
-      /* XXX  arg1 and arg2 are switched!!!!  */
+#ifndef _LIBC
+       RETVAL_ZEROD;
+#else
+       /* XXX  arg1 and arg2 are switched!!!!  */
        if (signbit (*(double *) arg1))
 	 /* y == -0 */
-	 *(double *) retval = copysign (M_PI, *(double *) arg2);
+	 *(double *) retval = __libm_copysign (M_PI, *(double *) arg2);
        else
 	 *(double *) retval = *(double *) arg2;
+#endif
        ERRNO_DOMAIN; break;
     }
-  case
-    atan2f_zero:
+  case atan2f_zero:
+  case atan2df_zero:
     /* atan2f(0,0) */
+    /* atan2df(0,0) */
     {
+#ifndef _LIBC
+       RETVAL_ZEROF;
+#else
        if (signbit (*(float *) arg2))
 	 /* y == -0 */
-	 *(float *) retval = copysignf (M_PI, *(float *) arg1);
+	 *(float *) retval = __libm_copysignf (M_PI, *(float *) arg1);
        else
 	 *(float *) retval = *(float *) arg1;
+#endif
        ERRNO_DOMAIN; break;
     }
   case expm1l_overflow:
@@ -912,42 +1145,42 @@ switch(input_tag)
   case scalbl_underflow:
     /* scalbl underflow */
     {
-       if (INPUT_XL < 0) RETVAL_NEG_ZEROL;
+       if (INPUT_XL < 0) RETVAL_NEG_ZEROL; 
        else RETVAL_ZEROL;
        ERRNO_RANGE; break;
     }
   case scalb_underflow:
     /* scalb underflow */
     {
-       if (INPUT_XD < 0) RETVAL_NEG_ZEROD;
+       if (INPUT_XD < 0) RETVAL_NEG_ZEROD; 
        else RETVAL_ZEROD;
        ERRNO_RANGE; break;
     }
   case scalbf_underflow:
     /* scalbf underflow */
     {
-       if (INPUT_XF < 0) RETVAL_NEG_ZEROF;
+       if (INPUT_XF < 0) RETVAL_NEG_ZEROF; 
        else RETVAL_ZEROF;
        ERRNO_RANGE; break;
     }
   case scalbl_overflow:
     /* scalbl overflow */
     {
-       if (INPUT_XL < 0) RETVAL_NEG_HUGE_VALL;
+       if (INPUT_XL < 0) RETVAL_NEG_HUGE_VALL; 
        else RETVAL_HUGE_VALL;
        ERRNO_RANGE; break;
     }
   case scalb_overflow:
     /* scalb overflow */
     {
-       if (INPUT_XD < 0) RETVAL_NEG_HUGE_VALD;
+       if (INPUT_XD < 0) RETVAL_NEG_HUGE_VALD; 
        else RETVAL_HUGE_VALD;
        ERRNO_RANGE; break;
     }
   case scalbf_overflow:
     /* scalbf overflow */
     {
-       if (INPUT_XF < 0) RETVAL_NEG_HUGE_VALF;
+       if (INPUT_XF < 0) RETVAL_NEG_HUGE_VALF; 
        else RETVAL_HUGE_VALF;
        ERRNO_RANGE; break;
     }
@@ -967,33 +1200,62 @@ switch(input_tag)
         ERRNO_DOMAIN; break;
     }
   case acosl_gt_one:
+  case acosdl_gt_one:
     /* acosl(x > 1) */
+    /* acosdl(x > 1) */
     {
+#ifndef _LIBC
+       RETVAL_ZEROL;
+#endif
        ERRNO_DOMAIN; break;
     }
   case acos_gt_one:
+  case acosd_gt_one:
     /* acos(x > 1) */
+    /* acosd(x > 1) */
     {
-      ERRNO_DOMAIN; break;
+#ifndef _LIBC
+       RETVAL_ZEROD;
+#endif
+       ERRNO_DOMAIN; break;
     }
   case acosf_gt_one:
+  case acosdf_gt_one:
     /* acosf(x > 1) */
+    /* acosdf(x > 1) */
     {
-      ERRNO_DOMAIN; break;
+#ifndef _LIBC
+       RETVAL_ZEROF;
+#endif
+       ERRNO_DOMAIN; break;
     }
   case asinl_gt_one:
+  case asindl_gt_one:
     /* asinl(x > 1) */
+    /* asindl(x > 1) */
     {
+#ifndef _LIBC
+       RETVAL_ZEROL;
+#endif
        ERRNO_DOMAIN; break;
     }
   case asin_gt_one:
+  case asind_gt_one:
     /* asin(x > 1) */
+    /* asind(x > 1) */
     {
+#ifndef _LIBC
+       RETVAL_ZEROD;
+#endif
        ERRNO_DOMAIN; break;
     }
   case asinf_gt_one:
-    /* asinf(x > 1) */
+  case asindf_gt_one:
+    /* asindf(x > 1) */
     {
+#ifndef _LIBC
+       RETVAL_ZEROF;
+#endif
        ERRNO_DOMAIN; break;
     }
   case remainderl_by_zero:
@@ -1029,6 +1291,15 @@ switch(input_tag)
     {
        RETVAL_HUGE_VALF; ERRNO_RANGE; break;
     }
+  case nextafterl_overflow:
+  case nextafter_overflow:
+  case nextafterf_overflow:
+  case nexttowardl_overflow:
+  case nexttoward_overflow:
+  case nexttowardf_overflow:
+    {
+      ERRNO_RANGE; break;
+    }
   case sinhl_overflow:
     /* sinhl overflows */
     {
@@ -1090,7 +1361,7 @@ return;
 /*******************************/
 /* __SVID__ and __XOPEN__ Path */
 /*******************************/
-else
+else 
 {
   switch(input_tag)
   {
@@ -1106,15 +1377,57 @@ else
   case scalbn_underflow:
   case scalbnf_overflow:
   case scalbnf_underflow:
+  case scalblnl_overflow:
+  case scalblnl_underflow:
+  case scalbln_overflow:
+  case scalbln_underflow:
+  case scalblnf_overflow:
+  case scalblnf_underflow:
+  case tandl_overflow:
+  case tand_overflow: 
+  case tandf_overflow:
+  case cotdl_overflow:
+  case cotd_overflow: 
+  case cotdf_overflow:
+  case cotl_overflow:
+  case cot_overflow: 
+  case cotf_overflow:
+  case annuityl_overflow:
+  case annuityl_underflow:
+  case annuity_overflow:
+  case annuity_underflow:
+  case annuityf_overflow:
+  case annuityf_underflow:
+  case compoundl_overflow:
+  case compoundl_underflow:
+  case compound_overflow:
+  case compound_underflow:
+  case compoundf_overflow:
+  case compoundf_underflow:
   {
        ERRNO_RANGE; break;
   }
-  case sqrtl_negative:
+  case annuityl_by_zero:
+  case annuityl_less_m1:
+  case annuity_by_zero:
+  case annuity_less_m1:
+  case annuityf_by_zero:
+  case annuityf_less_m1:
+  case compoundl_by_zero:
+  case compoundl_less_m1:
+  case compound_by_zero:
+  case compound_less_m1:
+  case compoundf_by_zero:
+  case compoundf_less_m1:
+  {
+       ERRNO_DOMAIN; break;
+  }
+  case sqrtl_negative: 
     /* sqrtl(x < 0) */
     {
        DOMAINL; NAMEL = (char *) "sqrtl";
-       ifSVID
-       {
+       ifSVID 
+       { 
           RETVAL_ZEROL;
           NOT_MATHERRL
           {
@@ -1122,22 +1435,22 @@ else
             ERRNO_DOMAIN;
           }
        }
-       else
+       else 
        { /* NaN already computed */
           NOT_MATHERRL {ERRNO_DOMAIN;}
        }
-       *(long double *)retval = excl.retval;
+       *(long double *)retval = excl.retval;	
        break;
     }
-  case sqrt_negative:
+  case sqrt_negative: 
     /* sqrt(x < 0) */
     {
        DOMAIND; NAMED = (char *) "sqrt";
-       ifSVID
+       ifSVID 
        {
-
+         
          RETVAL_ZEROD;
-         NOT_MATHERRD
+         NOT_MATHERRD 
          {
            WRITED_SQRT;
            ERRNO_DOMAIN;
@@ -1146,18 +1459,18 @@ else
        else
        { /* NaN already computed */
          NOT_MATHERRD {ERRNO_DOMAIN;}
-       }
-       *(double *)retval = exc.retval;
+       } 
+       *(double *)retval = exc.retval;	
        break;
     }
-  case sqrtf_negative:
+  case sqrtf_negative: 
     /* sqrtf(x < 0) */
     {
        DOMAINF; NAMEF = (char *) "sqrtf";
-       ifSVID
+       ifSVID 
        {
          RETVAL_ZEROF;
-         NOT_MATHERRF
+         NOT_MATHERRF 
          {
            WRITEF_SQRT;
            ERRNO_DOMAIN;
@@ -1166,62 +1479,59 @@ else
        else
        {
          NOT_MATHERRF {ERRNO_DOMAIN;}
-       }
-       *(float *)retval = excf.retval;
+       } 
+       *(float *)retval = excf.retval;	
        break;
     }
   case logl_zero:
-  case log2l_zero:
     /* logl(0) */
     {
        SINGL; NAMEL = (char *) "logl";
-       ifSVID
+       ifSVID 
        {
          RETVAL_NEG_HUGEL;
-         NOT_MATHERRL
+         NOT_MATHERRL 
          {
            WRITEL_LOG_ZERO;
            ERRNO_DOMAIN;
-         }
+         } 
        }
        else
        {
          RETVAL_NEG_HUGE_VALL;
          NOT_MATHERRL {ERRNO_DOMAIN;}
-       }
-       *(long double *)retval = excl.retval;
+       } 
+       *(long double *)retval = excl.retval;	
        break;
     }
   case log_zero:
-  case log2_zero:
     /* log(0) */
     {
        SINGD; NAMED = (char *) "log";
-       ifSVID
+       ifSVID 
        {
          RETVAL_NEG_HUGED;
-         NOT_MATHERRD
+         NOT_MATHERRD 
          {
            WRITED_LOG_ZERO;
            ERRNO_DOMAIN;
-         }
+         }  
        }
        else
        {
          RETVAL_NEG_HUGE_VALD;
          NOT_MATHERRD {ERRNO_DOMAIN;}
        }
-       *(double *)retval = exc.retval;
+       *(double *)retval = exc.retval;	
        break;
     }
   case logf_zero:
-  case log2f_zero:
     /* logf(0) */
     {
        SINGF; NAMEF = (char *) "logf";
-       ifSVID
+       ifSVID 
        {
-         RETVAL_NEG_HUGEF;
+         RETVAL_NEG_HUGEF; 
          NOT_MATHERRF
          {
             WRITEF_LOG_ZERO;
@@ -1230,22 +1540,21 @@ else
        }
        else
        {
-         RETVAL_NEG_HUGE_VALF;
+         RETVAL_NEG_HUGE_VALF; 
          NOT_MATHERRF {ERRNO_DOMAIN;}
        }
-       *(float *)retval = excf.retval;
+       *(float *)retval = excf.retval;	
        break;
     }
 
   case logl_negative:
-  case log2l_negative:
     /* logl(x < 0) */
     {
        DOMAINL; NAMEL = (char *) "logl";
-       ifSVID
+       ifSVID 
        {
          RETVAL_NEG_HUGEL;
-         NOT_MATHERRL
+         NOT_MATHERRL 
          {
            WRITEL_LOG_NEGATIVE;
            ERRNO_DOMAIN;
@@ -1253,21 +1562,20 @@ else
        }
        else
        {
-         RETVAL_NEG_HUGE_VALL;
+         RETVAL_NEG_HUGE_VALL; 
          NOT_MATHERRL {ERRNO_DOMAIN;}
        }
-       *(long double *)retval = excl.retval;
+       *(long double *)retval = excl.retval;	
        break;
     }
   case log_negative:
-  case log2_negative:
     /* log(x < 0) */
     {
        DOMAIND; NAMED = (char *) "log";
-       ifSVID
+       ifSVID 
        {
          RETVAL_NEG_HUGED;
-         NOT_MATHERRD
+         NOT_MATHERRD 
          {
            WRITED_LOG_NEGATIVE;
            ERRNO_DOMAIN;
@@ -1275,39 +1583,38 @@ else
        }
        else
        {
-         RETVAL_NEG_HUGE_VALD;
+         RETVAL_NEG_HUGE_VALD; 
          NOT_MATHERRD {ERRNO_DOMAIN;}
        }
-       *(double *)retval = exc.retval;
+       *(double *)retval = exc.retval;	
        break;
-    }
+    } 
   case logf_negative:
-  case log2f_negative:
     /* logf(x < 0) */
     {
        DOMAINF; NAMEF = (char *) "logf";
-       ifSVID
+       ifSVID 
        {
          RETVAL_NEG_HUGEF;
-         NOT_MATHERRF
+         NOT_MATHERRF 
          {
            WRITEF_LOG_NEGATIVE;
            ERRNO_DOMAIN;
          }
-       }
+       }  
        else
        {
-         RETVAL_NEG_HUGE_VALF;
+         RETVAL_NEG_HUGE_VALF; 
          NOT_MATHERRF{ERRNO_DOMAIN;}
        }
-       *(float *)retval = excf.retval;
+       *(float *)retval = excf.retval;	
        break;
     }
   case log1pl_zero:
     /* log1pl(-1) */
     {
        SINGL; NAMEL = (char *) "log1pl";
-       ifSVID
+       ifSVID 
        {
          RETVAL_NEG_HUGEL;
          NOT_MATHERRL
@@ -1328,7 +1635,7 @@ else
     /* log1p(-1) */
     {
        SINGD; NAMED = (char *) "log1p";
-       ifSVID
+       ifSVID 
        {
          RETVAL_NEG_HUGED;
          NOT_MATHERRD
@@ -1349,7 +1656,7 @@ else
     /* log1pf(-1) */
     {
        SINGF; NAMEF = (char *) "log1pf";
-       ifSVID
+       ifSVID 
        {
          RETVAL_NEG_HUGEF;
          NOT_MATHERRF
@@ -1361,11 +1668,11 @@ else
        else
        {
          RETVAL_NEG_HUGE_VALF;
-         NOT_MATHERRF {}ERRNO_DOMAIN;
+         NOT_MATHERRF {ERRNO_DOMAIN;}
        }
        *(float *)retval = excf.retval;
        break;
-    }
+    } 
  case log1pl_negative:
    /* log1pl(x < -1) */
    {
@@ -1379,7 +1686,7 @@ else
           ERRNO_DOMAIN;
         }
       }
-      else
+      else 
       {
         RETVAL_NEG_HUGE_VALL;
         NOT_MATHERRL {ERRNO_DOMAIN;}
@@ -1400,7 +1707,7 @@ else
           ERRNO_DOMAIN;
         }
       }
-      else
+      else 
       {
         RETVAL_NEG_HUGE_VALD;
         NOT_MATHERRD {ERRNO_DOMAIN;}
@@ -1421,7 +1728,7 @@ else
           ERRNO_DOMAIN;
         }
       }
-      else
+      else 
       {
         RETVAL_NEG_HUGE_VALF;
         NOT_MATHERRF {ERRNO_DOMAIN;}
@@ -1433,7 +1740,7 @@ else
     /* log10l(0) */
     {
        SINGL; NAMEL = (char *) "log10l";
-       ifSVID
+       ifSVID 
        {
          RETVAL_NEG_HUGEL;
          NOT_MATHERRL
@@ -1447,14 +1754,14 @@ else
          RETVAL_NEG_HUGE_VALL;
          NOT_MATHERRL {ERRNO_DOMAIN;}
        }
-       *(long double *)retval = excl.retval;
+       *(long double *)retval = excl.retval;	
        break;
     }
   case log10_zero:
     /* log10(0) */
     {
        SINGD; NAMED = (char *) "log10";
-       ifSVID
+       ifSVID 
        {
          RETVAL_NEG_HUGED;
          NOT_MATHERRD
@@ -1468,14 +1775,14 @@ else
          RETVAL_NEG_HUGE_VALD;
          NOT_MATHERRD {ERRNO_DOMAIN;}
        }
-       *(double *)retval = exc.retval;
+       *(double *)retval = exc.retval;	
        break;
     }
   case log10f_zero:
     /* log10f(0) */
     {
        SINGF; NAMEF = (char *) "log10f";
-       ifSVID
+       ifSVID 
        {
          RETVAL_NEG_HUGEF;
          NOT_MATHERRF
@@ -1489,17 +1796,17 @@ else
          RETVAL_NEG_HUGE_VALF;
          NOT_MATHERRF {ERRNO_DOMAIN;}
        }
-       *(float *)retval = excf.retval;
+       *(float *)retval = excf.retval;	
        break;
     }
   case log10l_negative:
     /* log10l(x < 0) */
     {
        DOMAINL; NAMEL = (char *) "log10l";
-       ifSVID
+       ifSVID 
        {
          RETVAL_NEG_HUGEL;
-         NOT_MATHERRL
+         NOT_MATHERRL 
          {
            WRITEL_LOG10_NEGATIVE;
            ERRNO_DOMAIN;
@@ -1510,38 +1817,38 @@ else
          RETVAL_NEG_HUGE_VALL;
          NOT_MATHERRL {ERRNO_DOMAIN;}
        }
-       *(long double *)retval = excl.retval;
+       *(long double *)retval = excl.retval;	
        break;
     }
   case log10_negative:
     /* log10(x < 0) */
     {
        DOMAIND; NAMED = (char *) "log10";
-       ifSVID
+       ifSVID 
        {
          RETVAL_NEG_HUGED;
-         NOT_MATHERRD
+         NOT_MATHERRD 
          {
            WRITED_LOG10_NEGATIVE;
            ERRNO_DOMAIN;
          }
-       }
+       }  
        else
        {
          RETVAL_NEG_HUGE_VALD;
          NOT_MATHERRD {ERRNO_DOMAIN;}
        }
-       *(double *)retval = exc.retval;
+       *(double *)retval = exc.retval;	
        break;
     }
   case log10f_negative:
     /* log10f(x < 0) */
     {
        DOMAINF; NAMEF = (char *) "log10f";
-       ifSVID
+       ifSVID 
        {
          RETVAL_NEG_HUGEF;
-         NOT_MATHERRF
+         NOT_MATHERRF 
          {
            WRITEF_LOG10_NEGATIVE;
            ERRNO_DOMAIN;
@@ -1552,14 +1859,119 @@ else
          RETVAL_NEG_HUGE_VALF;
          NOT_MATHERRF {ERRNO_DOMAIN;}
        }
-       *(float *)retval = excf.retval;
+       *(float *)retval = excf.retval;	
+       break;
+    }
+  case log2_zero:
+    /* log2(0) */
+    {
+       SINGD; NAMED = (char *) "log2";
+       ifSVID 
+       {
+         RETVAL_NEG_HUGED;
+         NOT_MATHERRD
+         {
+           WRITED_LOG2_ZERO;
+           ERRNO_DOMAIN;
+         }
+       }
+       else
+       {
+         RETVAL_NEG_HUGE_VALD;
+         NOT_MATHERRD {ERRNO_DOMAIN;}
+       }
+       *(double *)retval = exc.retval;	
+       break;
+    }
+  case log2f_zero:
+    /* log2f(0) */
+    {
+       SINGF; NAMEF = (char *) "log2f";
+       ifSVID 
+       {
+         RETVAL_NEG_HUGEF;
+         NOT_MATHERRF
+         {
+          WRITEF_LOG2_ZERO;
+          ERRNO_DOMAIN;
+         }
+       }
+       else
+       {
+         RETVAL_NEG_HUGE_VALF;
+         NOT_MATHERRF {ERRNO_DOMAIN;}
+       }
+       *(float *)retval = excf.retval;	
+       break;
+    }
+  case log2l_negative:
+    /* log2l(x < 0) */
+    {
+       DOMAINL; NAMEL = (char *) "log2l";
+       ifSVID 
+       {
+         RETVAL_NEG_HUGEL;
+         NOT_MATHERRL 
+         {
+           WRITEL_LOG2_NEGATIVE;
+           ERRNO_DOMAIN;
+         }
+       }
+       else
+       {
+         RETVAL_NEG_HUGE_VALL;
+         NOT_MATHERRL {ERRNO_DOMAIN;}
+       }
+       *(long double *)retval = excl.retval;	
+       break;
+    }
+  case log2_negative:
+    /* log2(x < 0) */
+    {
+       DOMAIND; NAMED = (char *) "log2";
+       ifSVID 
+       {
+         RETVAL_NEG_HUGED;
+         NOT_MATHERRD 
+         {
+           WRITED_LOG2_NEGATIVE;
+           ERRNO_DOMAIN;
+         }
+       }  
+       else
+       {
+         RETVAL_NEG_HUGE_VALD;
+         NOT_MATHERRD {ERRNO_DOMAIN;}
+       }
+       *(double *)retval = exc.retval;	
+       break;
+    }
+  case log2f_negative:
+    /* log2f(x < 0) */
+    {
+       DOMAINF; NAMEF = (char *) "log2f";
+       ifSVID 
+       {
+         RETVAL_NEG_HUGEF;
+         NOT_MATHERRF 
+         {
+           WRITEF_LOG2_NEGATIVE;
+           ERRNO_DOMAIN;
+         }
+       }
+       else
+       {
+         RETVAL_NEG_HUGE_VALF;
+         NOT_MATHERRF {ERRNO_DOMAIN;}
+       }
+       *(float *)retval = excf.retval;	
        break;
     }
   case expl_overflow:
     /* expl overflow */
     {
        OVERFLOWL; NAMEL = (char *) "expl";
-       ifSVID
+       ifSVID 
        {
          RETVAL_HUGEL;
        }
@@ -1568,14 +1980,14 @@ else
        RETVAL_HUGE_VALL;
        }
        NOT_MATHERRL {ERRNO_RANGE;}
-       *(long double *)retval = excl.retval;
+       *(long double *)retval = excl.retval;	
        break;
     }
   case exp_overflow:
     /* exp overflow */
     {
        OVERFLOWD; NAMED = (char *) "exp";
-       ifSVID
+       ifSVID 
        {
          RETVAL_HUGED;
        }
@@ -1584,14 +1996,14 @@ else
          RETVAL_HUGE_VALD;
        }
        NOT_MATHERRD {ERRNO_RANGE;}
-       *(double *)retval = exc.retval;
+       *(double *)retval = exc.retval;	
        break;
     }
   case expf_overflow:
     /* expf overflow */
     {
        OVERFLOWF; NAMEF = (char *) "expf";
-       ifSVID
+       ifSVID 
        {
          RETVAL_HUGEF;
        }
@@ -1600,7 +2012,7 @@ else
          RETVAL_HUGE_VALF;
        }
        NOT_MATHERRF {ERRNO_RANGE;}
-       *(float *)retval = excf.retval;
+       *(float *)retval = excf.retval;	
        break;
     }
   case expl_underflow:
@@ -1608,7 +2020,7 @@ else
     {
        UNDERFLOWL; NAMEL = (char *) "expl"; RETVAL_ZEROL;
        NOT_MATHERRL {ERRNO_RANGE;}
-       *(long double *)retval = excl.retval;
+       *(long double *)retval = excl.retval;	
        break;
     }
   case exp_underflow:
@@ -1616,7 +2028,7 @@ else
     {
        UNDERFLOWD; NAMED = (char *) "exp"; RETVAL_ZEROD;
        NOT_MATHERRD {ERRNO_RANGE;}
-       *(double *)retval = exc.retval;
+       *(double *)retval = exc.retval;	
        break;
     }
   case expf_underflow:
@@ -1624,22 +2036,22 @@ else
     {
        UNDERFLOWF; NAMEF = (char *) "expf"; RETVAL_ZEROF;
        NOT_MATHERRF {ERRNO_RANGE;}
-       *(float *)retval = excf.retval;
+       *(float *)retval = excf.retval;	
        break;
     }
   case powl_zero_to_zero:
     /* powl 0**0 */
     {
        DOMAINL; NAMEL = (char *) "powl";
-       ifSVID
+       ifSVID 
        {
          RETVAL_ZEROL;
-         NOT_MATHERRL
+         NOT_MATHERRL 
          {
             WRITEL_POW_ZERO_TO_ZERO;
-            ERRNO_RANGE;
+            ERRNO_DOMAIN;
          }
-         *(long double *)retval = excl.retval;
+         *(long double *)retval = excl.retval;	
        }
        else RETVAL_ONEL;
        break;
@@ -1648,15 +2060,15 @@ else
     /* pow 0**0 */
     {
        DOMAIND; NAMED = (char *) "pow";
-       ifSVID
+       ifSVID 
        {
          RETVAL_ZEROD;
-         NOT_MATHERRD
+         NOT_MATHERRD 
          {
             WRITED_POW_ZERO_TO_ZERO;
-            ERRNO_RANGE;
+            ERRNO_DOMAIN;
          }
-         *(double *)retval = exc.retval;
+         *(double *)retval = exc.retval;	
        }
        else RETVAL_ONED;
        break;
@@ -1665,15 +2077,15 @@ else
     /* powf 0**0 */
     {
        DOMAINF; NAMEF = (char *) "powf";
-       ifSVID
+       ifSVID 
        {
          RETVAL_ZEROF;
-         NOT_MATHERRF
+         NOT_MATHERRF 
          {
           WRITEF_POW_ZERO_TO_ZERO;
-          ERRNO_RANGE;
+          ERRNO_DOMAIN;
          }
-         *(float *)retval = excf.retval;
+         *(float *)retval = excf.retval;	
        }
        else RETVAL_ONEF;
        break;
@@ -1682,54 +2094,54 @@ else
     /* powl(x,y) overflow */
     {
        OVERFLOWL; NAMEL = (char *) "powl";
-       ifSVID
+       ifSVID 
        {
          if (INPUT_XL < 0)  RETVAL_NEG_HUGEL;
          else RETVAL_HUGEL;
        }
        else
-       {
+       { 
          if (INPUT_XL < 0) RETVAL_NEG_HUGE_VALL;
          else RETVAL_HUGE_VALL;
        }
        NOT_MATHERRL {ERRNO_RANGE;}
-       *(long double *)retval = excl.retval;
+       *(long double *)retval = excl.retval;	
        break;
     }
   case pow_overflow:
     /* pow(x,y) overflow */
     {
        OVERFLOWD; NAMED = (char *) "pow";
-       ifSVID
+       ifSVID 
        {
          if (INPUT_XD < 0) RETVAL_NEG_HUGED;
          else RETVAL_HUGED;
        }
        else
-       {
+       { 
          if (INPUT_XD < 0) RETVAL_NEG_HUGE_VALD;
          else RETVAL_HUGE_VALD;
        }
        NOT_MATHERRD {ERRNO_RANGE;}
-       *(double *)retval = exc.retval;
+       *(double *)retval = exc.retval;	
        break;
     }
   case powf_overflow:
     /* powf(x,y) overflow */
     {
        OVERFLOWF; NAMEF = (char *) "powf";
-       ifSVID
+       ifSVID 
        {
          if (INPUT_XF < 0) RETVAL_NEG_HUGEF;
-         else RETVAL_HUGEF;
+         else RETVAL_HUGEF; 
        }
        else
-       {
+       { 
          if (INPUT_XF < 0) RETVAL_NEG_HUGE_VALF;
          else RETVAL_HUGE_VALF;
        }
        NOT_MATHERRF {ERRNO_RANGE;}
-       *(float *)retval = excf.retval;
+       *(float *)retval = excf.retval;	
        break;
     }
   case powl_underflow:
@@ -1737,7 +2149,7 @@ else
     {
        UNDERFLOWL; NAMEL = (char *) "powl"; RETVAL_ZEROL;
        NOT_MATHERRL {ERRNO_RANGE;}
-       *(long double *)retval = excl.retval;
+       *(long double *)retval = excl.retval;	
        break;
     }
   case pow_underflow:
@@ -1745,7 +2157,7 @@ else
     {
        UNDERFLOWD; NAMED = (char *) "pow"; RETVAL_ZEROD;
        NOT_MATHERRD {ERRNO_RANGE;}
-       *(double *)retval = exc.retval;
+       *(double *)retval = exc.retval;	
        break;
     }
   case powf_underflow:
@@ -1753,17 +2165,17 @@ else
     {
        UNDERFLOWF; NAMEF = (char *) "powf"; RETVAL_ZEROF;
        NOT_MATHERRF {ERRNO_RANGE;}
-       *(float *)retval = excf.retval;
+       *(float *)retval = excf.retval;	
        break;
     }
   case powl_zero_to_negative:
     /* 0 to neg */
     {
        DOMAINL; NAMEL = (char *) "powl";
-       ifSVID
-       {
+       ifSVID 
+       { 
          RETVAL_ZEROL;
-         NOT_MATHERRL
+         NOT_MATHERRL 
          {
            WRITEL_POW_ZERO_TO_NEGATIVE;
            ERRNO_DOMAIN;
@@ -1774,17 +2186,17 @@ else
          RETVAL_NEG_HUGE_VALL;
          NOT_MATHERRL {ERRNO_DOMAIN;}
        }
-       *(long double *)retval = excl.retval;
+       *(long double *)retval = excl.retval;	
        break;
     }
   case pow_zero_to_negative:
     /* 0**neg */
     {
        DOMAIND; NAMED = (char *) "pow";
-       ifSVID
-       {
+       ifSVID 
+       { 
          RETVAL_ZEROD;
-         NOT_MATHERRD
+         NOT_MATHERRD 
          {
            WRITED_POW_ZERO_TO_NEGATIVE;
            ERRNO_DOMAIN;
@@ -1795,7 +2207,7 @@ else
          RETVAL_NEG_HUGE_VALD;
          NOT_MATHERRD {ERRNO_DOMAIN;}
        }
-       *(double *)retval = exc.retval;
+       *(double *)retval = exc.retval;	
        break;
     }
   case powf_zero_to_negative:
@@ -1803,10 +2215,10 @@ else
     {
        DOMAINF; NAMEF = (char *) "powf";
        RETVAL_NEG_HUGE_VALF;
-       ifSVID
-       {
+       ifSVID 
+       { 
          RETVAL_ZEROF;
-         NOT_MATHERRF
+         NOT_MATHERRF 
          {
             WRITEF_POW_ZERO_TO_NEGATIVE;
             ERRNO_DOMAIN;
@@ -1817,17 +2229,17 @@ else
          RETVAL_NEG_HUGE_VALF;
          NOT_MATHERRF {ERRNO_DOMAIN;}
        }
-       *(float *)retval = excf.retval;
+       *(float *)retval = excf.retval;	
        break;
     }
   case powl_neg_to_non_integer:
     /* neg**non_integral */
     {
        DOMAINL; NAMEL = (char *) "powl";
-       ifSVID
-       {
+       ifSVID 
+       { 
          RETVAL_ZEROF;
-         NOT_MATHERRL
+         NOT_MATHERRL 
          {
            WRITEL_POW_NEG_TO_NON_INTEGER;
            ERRNO_DOMAIN;
@@ -1837,17 +2249,17 @@ else
        {
          NOT_MATHERRL {ERRNO_DOMAIN;}
        }
-       *(long double *)retval = excl.retval;
+       *(long double *)retval = excl.retval;	
        break;
     }
   case pow_neg_to_non_integer:
     /* neg**non_integral */
     {
        DOMAIND; NAMED = (char *) "pow";
-       ifSVID
-       {
+       ifSVID 
+       { 
          RETVAL_ZEROD;
-         NOT_MATHERRD
+         NOT_MATHERRD 
          {
             WRITED_POW_NEG_TO_NON_INTEGER;
             ERRNO_DOMAIN;
@@ -1857,17 +2269,17 @@ else
        {
          NOT_MATHERRD {ERRNO_DOMAIN;}
        }
-       *(double *)retval = exc.retval;
+       *(double *)retval = exc.retval;	
        break;
     }
   case powf_neg_to_non_integer:
     /* neg**non-integral */
     {
        DOMAINF; NAMEF = (char *) "powf";
-       ifSVID
-       {
+       ifSVID 
+       { 
          RETVAL_ZEROF;
-         NOT_MATHERRF
+         NOT_MATHERRF 
          {
             WRITEF_POW_NEG_TO_NON_INTEGER;
             ERRNO_DOMAIN;
@@ -1877,37 +2289,37 @@ else
        {
          NOT_MATHERRF {ERRNO_DOMAIN;}
        }
-       *(float *)retval = excf.retval;
+       *(float *)retval = excf.retval;	
        break;
     }
   case powl_nan_to_zero:
     /* pow(NaN,0.0) */
     /* Special Error */
     {
-       DOMAINL; NAMEL = (char *) "powl"; INPUT_XL; INPUT_YL;
-       excl.retval = *(long double *)arg1;
+       DOMAINL; NAMEL = (char *) "powl";
+       *(long double *)retval = *(long double *)arg1;
        NOT_MATHERRL {ERRNO_DOMAIN;}
-       *(long double *)retval = excl.retval;
+       *(long double *)retval = excl.retval;	
        break;
-    }
+    } 
   case pow_nan_to_zero:
     /* pow(NaN,0.0) */
     /* Special Error */
     {
-       DOMAIND; NAMED = (char *) "pow"; INPUT_XD; INPUT_YD;
-       exc.retval = *(double *)arg1;
+       DOMAIND; NAMED = (char *) "pow";
+       *(double *)retval = *(double *)arg1;
        NOT_MATHERRD {ERRNO_DOMAIN;}
-       *(double *)retval = exc.retval;
+       *(double *)retval = exc.retval;	
        break;
     }
   case powf_nan_to_zero:
     /* powf(NaN,0.0) */
     /* Special Error */
     {
-       DOMAINF; NAMEF = (char *) "powf"; INPUT_XF; INPUT_YF;
-       excf.retval = *(float *)arg1;
+       DOMAINF; NAMEF = (char *) "powf";
+       *(float *)retval = *(float *)arg1;
        NOT_MATHERRF {ERRNO_DOMAIN;}
-       *(float *)retval = excf.retval;
+       *(float *)retval = excf.retval;	
        break;
     }
   case atan2l_zero:
@@ -1915,15 +2327,15 @@ else
     {
        DOMAINL; NAMEL = (char *) "atan2l";
        RETVAL_ZEROL;
-       NOT_MATHERRL
+       NOT_MATHERRL 
        {
-         ifSVID
+         ifSVID 
          {
             WRITEL_ATAN2_ZERO_BY_ZERO;
          }
          ERRNO_DOMAIN;
        }
-       *(long double *)retval = excl.retval;
+       *(long double *)retval = excl.retval;	
        break;
     }
   case atan2_zero:
@@ -1931,15 +2343,15 @@ else
     {
        DOMAIND; NAMED = (char *) "atan2";
        RETVAL_ZEROD;
-       NOT_MATHERRD
+       NOT_MATHERRD 
        {
-         ifSVID
-         {
+         ifSVID 
+         { 
             WRITED_ATAN2_ZERO_BY_ZERO;
          }
          ERRNO_DOMAIN;
        }
-       *(double *)retval = exc.retval;
+       *(double *)retval = exc.retval;	
        break;
     }
   case atan2f_zero:
@@ -1947,13 +2359,59 @@ else
     {
        DOMAINF; NAMEF = (char *) "atan2f";
        RETVAL_ZEROF;
-       NOT_MATHERRF
-         ifSVID
+       NOT_MATHERRF 
+         ifSVID  
          {
             WRITEF_ATAN2_ZERO_BY_ZERO;
          }
        ERRNO_DOMAIN;
-       *(float *)retval = excf.retval;
+       *(float *)retval = excf.retval;	
+       break;
+    }
+  case atan2dl_zero:
+    /* atan2dl(0.0,0.0) */
+    {
+       DOMAINL; NAMEL = (char *) "atan2dl";
+       RETVAL_ZEROL;
+       NOT_MATHERRL 
+       {
+         ifSVID 
+         {
+            WRITEL_ATAN2D_ZERO_BY_ZERO;
+         }
+         ERRNO_DOMAIN;
+       }
+       *(long double *)retval = excl.retval;	
+       break;
+    }
+  case atan2d_zero:
+    /* atan2d(0.0,0.0) */
+    {
+       DOMAIND; NAMED = (char *) "atan2d";
+       RETVAL_ZEROD;
+       NOT_MATHERRD 
+       {
+         ifSVID 
+         { 
+            WRITED_ATAN2D_ZERO_BY_ZERO;
+         }
+         ERRNO_DOMAIN;
+       }
+       *(double *)retval = exc.retval;	
+       break;
+    }
+  case atan2df_zero:
+    /* atan2df(0.0,0.0) */
+    {
+       DOMAINF; NAMEF = (char *) "atan2df";
+       RETVAL_ZEROF;
+       NOT_MATHERRF 
+         ifSVID  
+         {
+            WRITEF_ATAN2D_ZERO_BY_ZERO;
+         }
+       ERRNO_DOMAIN;
+       *(float *)retval = excf.retval;	
        break;
     }
   case expm1_overflow:
@@ -1990,8 +2448,8 @@ else
        UNDERFLOWL; NAMEL = (char *) "scalbl";
        if (INPUT_XL < 0.0L) RETVAL_NEG_ZEROL;
        else  RETVAL_ZEROL;
-       NOT_MATHERRL {ERRNO_RANGE;}
-       *(long double *)retval = excf.retval;
+       NOT_MATHERRL {ERRNO_RANGE;} 
+       *(long double *)retval = excl.retval;	
        break;
     }
   case scalb_underflow:
@@ -2000,8 +2458,8 @@ else
        UNDERFLOWD; NAMED = (char *) "scalb";
        if (INPUT_XD < 0.0) RETVAL_NEG_ZEROD;
        else  RETVAL_ZEROD;
-       NOT_MATHERRD {ERRNO_RANGE;}
-       *(double *)retval = exc.retval;
+       NOT_MATHERRD {ERRNO_RANGE;} 
+       *(double *)retval = exc.retval;	
        break;
     }
   case scalbf_underflow:
@@ -2010,8 +2468,8 @@ else
        UNDERFLOWF; NAMEF = (char *) "scalbf";
        if (INPUT_XF < 0.0) RETVAL_NEG_ZEROF;
        else  RETVAL_ZEROF;
-       NOT_MATHERRF {ERRNO_RANGE;}
-       *(float *)retval = excf.retval;
+       NOT_MATHERRF {ERRNO_RANGE;} 
+       *(float *)retval = excf.retval;	
        break;
     }
   case scalbl_overflow:
@@ -2020,8 +2478,8 @@ else
        OVERFLOWL; NAMEL = (char *) "scalbl";
        if (INPUT_XL < 0) RETVAL_NEG_HUGE_VALL;
        else RETVAL_HUGE_VALL;
-       NOT_MATHERRL {ERRNO_RANGE;}
-       *(long double *)retval = excl.retval;
+       NOT_MATHERRL {ERRNO_RANGE;} 
+       *(long double *)retval = excl.retval;	
        break;
     }
   case scalb_overflow:
@@ -2030,8 +2488,8 @@ else
        OVERFLOWD; NAMED = (char *) "scalb";
        if (INPUT_XD < 0) RETVAL_NEG_HUGE_VALD;
        else RETVAL_HUGE_VALD;
-       NOT_MATHERRD {ERRNO_RANGE;}
-       *(double *)retval = exc.retval;
+       NOT_MATHERRD {ERRNO_RANGE;} 
+       *(double *)retval = exc.retval;	
        break;
     }
   case scalbf_overflow:
@@ -2040,8 +2498,8 @@ else
        OVERFLOWF; NAMEF = (char *) "scalbf";
        if (INPUT_XF < 0) RETVAL_NEG_HUGE_VALF;
        else RETVAL_HUGE_VALF;
-       NOT_MATHERRF {ERRNO_RANGE;}
-       *(float *)retval = excf.retval;
+       NOT_MATHERRF {ERRNO_RANGE;} 
+       *(float *)retval = excf.retval;	
        break;
     }
   case hypotl_overflow:
@@ -2049,7 +2507,7 @@ else
     {
        OVERFLOWL; NAMEL = (char *) "hypotl";
        ifSVID
-       {
+       { 
          RETVAL_HUGEL;
        }
        else
@@ -2057,7 +2515,7 @@ else
          RETVAL_HUGE_VALL;
        }
        NOT_MATHERRL {ERRNO_RANGE;}
-       *(long double *)retval = excl.retval;
+       *(long double *)retval = excl.retval;	
        break;
     }
   case hypot_overflow:
@@ -2065,7 +2523,7 @@ else
     {
        OVERFLOWD; NAMED = (char *) "hypot";
        ifSVID
-       {
+       { 
          RETVAL_HUGED;
        }
        else
@@ -2073,14 +2531,14 @@ else
          RETVAL_HUGE_VALD;
        }
        NOT_MATHERRD {ERRNO_RANGE;}
-       *(double *)retval = exc.retval;
+       *(double *)retval = exc.retval;	
        break;
     }
   case hypotf_overflow:
     /* hypotf overflow */
-    {
+    { 
        OVERFLOWF; NAMEF = (char *) "hypotf";
-       ifSVID
+       ifSVID 
        {
          RETVAL_HUGEF;
        }
@@ -2089,7 +2547,7 @@ else
          RETVAL_HUGE_VALF;
        }
        NOT_MATHERRF {ERRNO_RANGE;}
-       *(float *)retval = excf.retval;
+       *(float *)retval = excf.retval;	
        break;
     }
   case acosl_gt_one:
@@ -2097,7 +2555,7 @@ else
     {
        DOMAINL; NAMEL = (char *) "acosl";
        RETVAL_ZEROL;
-       ifSVID
+       ifSVID 
        {
          NOT_MATHERRL
          {
@@ -2117,7 +2575,7 @@ else
     {
        DOMAIND; NAMED = (char *) "acos";
        RETVAL_ZEROD;
-       ifSVID
+       ifSVID 
        {
          NOT_MATHERRD
          {
@@ -2137,9 +2595,9 @@ else
     {
        DOMAINF; NAMEF = (char *) "acosf";
        RETVAL_ZEROF;
-       ifSVID
+       ifSVID 
        {
-         NOT_MATHERRF
+         NOT_MATHERRF 
          {
            WRITEF_ACOS;
            ERRNO_DOMAIN;
@@ -2148,8 +2606,8 @@ else
        else
        {
          NOT_MATHERRF {ERRNO_DOMAIN;}
-       }
-       *(float *)retval = excf.retval;
+       } 
+       *(float *)retval = excf.retval;	
        break;
     }
   case asinl_gt_one:
@@ -2157,7 +2615,7 @@ else
     {
        DOMAINL; NAMEL = (char *) "asinl";
        RETVAL_ZEROL;
-       ifSVID
+       ifSVID 
        {
          NOT_MATHERRL
          {
@@ -2177,7 +2635,7 @@ else
     {
        DOMAIND; NAMED = (char *) "asin";
        RETVAL_ZEROD;
-       ifSVID
+       ifSVID 
        {
          NOT_MATHERRD
          {
@@ -2197,9 +2655,9 @@ else
     {
        DOMAINF; NAMEF = (char *) "asinf";
        RETVAL_ZEROF;
-       ifSVID
+       ifSVID 
        {
-         NOT_MATHERRF
+         NOT_MATHERRF 
          {
             WRITEF_ASIN;
             ERRNO_DOMAIN;
@@ -2208,8 +2666,128 @@ else
        else
        {
          NOT_MATHERRF {ERRNO_DOMAIN;}
+       } 
+       *(float *)retval = excf.retval;	
+       break;
+    }
+  case acosdl_gt_one:
+    /* acosdl(x > 1) */
+    {
+       DOMAINL; NAMEL = (char *) "acosdl";
+       RETVAL_ZEROL;
+       ifSVID 
+       {
+         NOT_MATHERRL
+         {
+           WRITEL_ACOSD;
+           ERRNO_DOMAIN;
+         }
        }
-       *(float *)retval = excf.retval;
+       else
+       {
+         NOT_MATHERRL {ERRNO_DOMAIN;}
+       }
+       *(long double *)retval = excl.retval;
+       break;
+    }
+  case acosd_gt_one:
+    /* acosd(x > 1) */
+    {
+       DOMAIND; NAMED = (char *) "acosd";
+       RETVAL_ZEROD;
+       ifSVID 
+       {
+         NOT_MATHERRD
+         {
+           WRITED_ACOSD;
+           ERRNO_DOMAIN;
+         }
+       }
+       else
+       {
+         NOT_MATHERRD {ERRNO_DOMAIN;}
+       }
+       *(double *)retval = exc.retval;
+       break;
+    }
+  case acosdf_gt_one:
+    /* acosdf(x > 1) */
+    {
+       DOMAINF; NAMEF = (char *) "acosdf";
+       RETVAL_ZEROF;
+       ifSVID 
+       {
+         NOT_MATHERRF 
+         {
+           WRITEF_ACOSD;
+           ERRNO_DOMAIN;
+         }
+       }
+       else
+       {
+         NOT_MATHERRF {ERRNO_DOMAIN;}
+       } 
+       *(float *)retval = excf.retval;	
+       break;
+    }
+  case asindl_gt_one:
+    /* asindl(x > 1) */
+    {
+       DOMAINL; NAMEL = (char *) "asindl";
+       RETVAL_ZEROL;
+       ifSVID 
+       {
+         NOT_MATHERRL
+         {
+           WRITEL_ASIND;
+           ERRNO_DOMAIN;
+         }
+       }
+       else
+       {
+         NOT_MATHERRL {ERRNO_DOMAIN;}
+       }
+       *(long double *)retval = excl.retval;
+       break;
+    }
+  case asind_gt_one:
+    /* asind(x > 1) */
+    {
+       DOMAIND; NAMED = (char *) "asind";
+       RETVAL_ZEROD;
+       ifSVID 
+       {
+         NOT_MATHERRD
+         {
+           WRITED_ASIND;
+           ERRNO_DOMAIN;
+         }
+       }
+       else
+       {
+         NOT_MATHERRD {ERRNO_DOMAIN;}
+       }
+       *(double *)retval = exc.retval;
+       break;
+    }
+  case asindf_gt_one:
+    /* asindf(x > 1) */
+    {
+       DOMAINF; NAMEF = (char *) "asindf";
+       RETVAL_ZEROF;
+       ifSVID 
+       {
+         NOT_MATHERRF 
+         {
+            WRITEF_ASIND;
+            ERRNO_DOMAIN;
+         }
+       }
+       else
+       {
+         NOT_MATHERRF {ERRNO_DOMAIN;}
+       } 
+       *(float *)retval = excf.retval;	
        break;
     }
  case coshl_overflow:
@@ -2220,7 +2798,7 @@ else
       {
         RETVAL_HUGEL;
       }
-      else
+      else 
       {
         RETVAL_HUGE_VALL;
       }
@@ -2236,7 +2814,7 @@ else
       {
         RETVAL_HUGED;
       }
-      else
+      else 
       {
         RETVAL_HUGE_VALD;
       }
@@ -2252,7 +2830,7 @@ else
       {
         RETVAL_HUGEF;
       }
-      else
+      else 
       {
         RETVAL_HUGE_VALF;
       }
@@ -2269,7 +2847,7 @@ else
         if (INPUT_XL > 0.0) RETVAL_HUGEL;
         else RETVAL_NEG_HUGEL;
       }
-      else
+      else 
       {
         if (INPUT_XL > 0.0) RETVAL_HUGE_VALL;
         else RETVAL_NEG_HUGE_VALL;
@@ -2287,7 +2865,7 @@ else
         if (INPUT_XD > 0.0) RETVAL_HUGED;
         else RETVAL_NEG_HUGED;
       }
-      else
+      else 
       {
         if (INPUT_XD > 0.0) RETVAL_HUGE_VALD;
         else RETVAL_NEG_HUGE_VALD;
@@ -2305,7 +2883,7 @@ else
         if( INPUT_XF > 0.0) RETVAL_HUGEF;
         else RETVAL_NEG_HUGEF;
       }
-      else
+      else 
       {
         if (INPUT_XF > 0.0) RETVAL_HUGE_VALF;
         else RETVAL_NEG_HUGE_VALF;
@@ -2318,7 +2896,7 @@ else
     /* acoshl(x < 1) */
     {
        DOMAINL; NAMEL = (char *) "acoshl";
-       ifSVID
+       ifSVID 
        {
          NOT_MATHERRL
          {
@@ -2326,7 +2904,10 @@ else
            ERRNO_DOMAIN;
          }
        }
-       else NOT_MATHERRL {ERRNO_DOMAIN;}
+       else 
+       {
+           NOT_MATHERRL {ERRNO_DOMAIN;}
+       }
        *(long double *)retval = excl.retval;
        break;
     }
@@ -2334,7 +2915,7 @@ else
     /* acosh(x < 1) */
     {
        DOMAIND; NAMED = (char *) "acosh";
-       ifSVID
+       ifSVID 
        {
          NOT_MATHERRD
          {
@@ -2342,7 +2923,10 @@ else
           ERRNO_DOMAIN;
          }
        }
-       else NOT_MATHERRD {ERRNO_DOMAIN;}
+       else 
+       {
+          NOT_MATHERRD {ERRNO_DOMAIN;}
+       }
        *(double *)retval = exc.retval;
        break;
     }
@@ -2350,7 +2934,7 @@ else
     /* acoshf(x < 1) */
     {
        DOMAINF; NAMEF = (char *) "acoshf";
-       ifSVID
+       ifSVID 
        {
          NOT_MATHERRF
          {
@@ -2369,7 +2953,7 @@ else
     /* atanhl(|x| > 1) */
     {
        DOMAINL; NAMEL = (char *) "atanhl";
-       ifSVID
+       ifSVID 
        {
          NOT_MATHERRL
          {
@@ -2387,7 +2971,7 @@ else
     /* atanh(|x| > 1) */
     {
        DOMAIND; NAMED = (char *) "atanh";
-       ifSVID
+       ifSVID 
        {
          NOT_MATHERRD
          {
@@ -2405,7 +2989,7 @@ else
     /* atanhf(|x| > 1) */
     {
        DOMAINF; NAMEF = (char *) "atanhf";
-       ifSVID
+       ifSVID 
        {
          NOT_MATHERRF
          {
@@ -2422,8 +3006,8 @@ else
   case atanhl_eq_one:
     /* atanhl(|x| == 1) */
     {
-       SINGL; NAMEL = (char *)"atanhl";
-       ifSVID
+       SINGL; NAMEL = (char *) "atanhl";
+       ifSVID 
        {
          NOT_MATHERRL
          {
@@ -2441,7 +3025,7 @@ else
     /* atanh(|x| == 1) */
     {
        SINGD; NAMED = (char *) "atanh";
-       ifSVID
+       ifSVID 
        {
          NOT_MATHERRD
          {
@@ -2459,7 +3043,7 @@ else
     /* atanhf(|x| == 1) */
     {
        SINGF; NAMEF = (char *) "atanhf";
-       ifSVID
+       ifSVID 
        {
          NOT_MATHERRF
          {
@@ -2477,7 +3061,7 @@ else
     /* gammal overflow */
     {
        OVERFLOWL; NAMEL = (char *) "gammal";
-       ifSVID
+       ifSVID 
        {
          RETVAL_HUGEL;
        }
@@ -2485,15 +3069,15 @@ else
        {
          RETVAL_HUGE_VALL;
        }
-       NOT_MATHERRL {ERRNO_RANGE;}
-       *(long double *)retval = excl.retval;
+       NOT_MATHERRL{ERRNO_RANGE;}
+       *(long double*)retval = excl.retval;
        break;
     }
   case gamma_overflow:
     /* gamma overflow */
     {
        OVERFLOWD; NAMED = (char *) "gamma";
-       ifSVID
+       ifSVID 
        {
          RETVAL_HUGED;
        }
@@ -2501,31 +3085,94 @@ else
        {
          RETVAL_HUGE_VALD;
        }
-       NOT_MATHERRD {ERRNO_RANGE;}
-       *(double *)retval = exc.retval;
+       NOT_MATHERRD{ERRNO_RANGE;}
+       *(double*)retval = exc.retval;
        break;
     }
   case gammaf_overflow:
     /* gammaf overflow */
     {
        OVERFLOWF; NAMEF = (char *) "gammaf";
+       ifSVID 
+       {
+         RETVAL_HUGEF;
+       }
+       else
+       {
+         RETVAL_HUGE_VALF;
+       }
+       NOT_MATHERRF{ERRNO_RANGE;}
+       *(float*)retval = excf.retval;
+       break;
+    }
+  case gammal_negative:
+    /* gammal -int or 0 */
+    {
+       SINGL; NAMEL = (char *) "gammal";
        ifSVID
        {
+         RETVAL_HUGEL;
+         NOT_MATHERRL
+         {
+            WRITEL_GAMMA_NEGATIVE;
+            ERRNO_DOMAIN;
+         }
+       }
+       else
+       {
+         RETVAL_HUGE_VALL;
+         NOT_MATHERRL{ERRNO_DOMAIN;}
+       }
+       *(long double*)retval = excl.retval;	
+       break;
+    }
+  case gamma_negative:
+    /* gamma -int or 0 */
+    {
+       SINGD; NAMED = (char *) "gamma";
+       ifSVID 
+       {
+         RETVAL_HUGED;
+         NOT_MATHERRD
+         {
+            WRITED_GAMMA_NEGATIVE;
+            ERRNO_DOMAIN;
+         }
+       }
+       else
+       {
+         RETVAL_HUGE_VALD;
+         NOT_MATHERRD{ERRNO_DOMAIN;}
+       }
+       *(double*)retval = exc.retval;	
+       break;
+    }
+  case gammaf_negative:
+    /* gammaf -int or 0 */
+    {
+       SINGF; NAMEF = (char *) "gammaf";
+       ifSVID 
+       {
          RETVAL_HUGEF;
+         NOT_MATHERRF
+         {
+            WRITEF_GAMMA_NEGATIVE;
+            ERRNO_DOMAIN;
+         }
        }
        else
        {
          RETVAL_HUGE_VALF;
+         NOT_MATHERRF{ERRNO_DOMAIN;}
        }
-       NOT_MATHERRF {ERRNO_RANGE;}
-       *(float *)retval = excf.retval;
+       *(float*)retval = excf.retval;	
        break;
     }
   case lgammal_overflow:
     /* lgammal overflow */
     {
        OVERFLOWL; NAMEL = (char *) "lgammal";
-       ifSVID
+       ifSVID 
        {
          RETVAL_HUGEL;
        }
@@ -2533,15 +3180,15 @@ else
        {
          RETVAL_HUGE_VALL;
        }
-       NOT_MATHERRL {ERRNO_RANGE;}
-       *(long double *)retval = excl.retval;
+       NOT_MATHERRL{ERRNO_RANGE;}
+       *(long double*)retval = excl.retval;
        break;
     }
   case lgamma_overflow:
     /* lgamma overflow */
     {
        OVERFLOWD; NAMED = (char *) "lgamma";
-       ifSVID
+       ifSVID 
        {
          RETVAL_HUGED;
        }
@@ -2549,15 +3196,15 @@ else
        {
          RETVAL_HUGE_VALD;
        }
-       NOT_MATHERRD {ERRNO_RANGE;}
-       *(double *)retval = exc.retval;
+       NOT_MATHERRD{ERRNO_RANGE;}
+       *(double*)retval = exc.retval;
        break;
     }
   case lgammaf_overflow:
     /* lgammaf overflow */
     {
        OVERFLOWF; NAMEF = (char *) "lgammaf";
-       ifSVID
+       ifSVID 
        {
          RETVAL_HUGEF;
        }
@@ -2565,8 +3212,8 @@ else
        {
          RETVAL_HUGE_VALF;
        }
-       NOT_MATHERRF {ERRNO_RANGE;}
-       *(float *)retval = excf.retval;
+       NOT_MATHERRF{ERRNO_RANGE;}
+       *(float*)retval = excf.retval;
        break;
     }
   case lgammal_negative:
@@ -2578,16 +3225,16 @@ else
          RETVAL_HUGEL;
          NOT_MATHERRL
          {
-           WRITEL_LGAMMA_NEGATIVE;
-           ERRNO_DOMAIN;
+            WRITEL_GAMMA_NEGATIVE;
+            ERRNO_DOMAIN;
          }
        }
        else
        {
          RETVAL_HUGE_VALL;
-         NOT_MATHERRL {ERRNO_DOMAIN;}
+         NOT_MATHERRL{ERRNO_DOMAIN;}
        }
-       *(long double *)retval = excl.retval;
+       *(long double*)retval = excl.retval;	
        break;
     }
   case lgamma_negative:
@@ -2606,16 +3253,16 @@ else
        else
        {
          RETVAL_HUGE_VALD;
-         NOT_MATHERRD {ERRNO_DOMAIN;}
+         NOT_MATHERRD{ERRNO_DOMAIN;}
        }
-       *(double *)retval = exc.retval;
+       *(double*)retval = exc.retval;	
        break;
     }
   case lgammaf_negative:
     /* lgammaf -int or 0 */
     {
        SINGF; NAMEF = (char *) "lgammaf";
-       ifSVID
+       ifSVID 
        {
          RETVAL_HUGEF;
          NOT_MATHERRF
@@ -2627,72 +3274,114 @@ else
        else
        {
          RETVAL_HUGE_VALF;
-         NOT_MATHERRF {ERRNO_DOMAIN;}
+         NOT_MATHERRF{ERRNO_DOMAIN;}
        }
-       *(float *)retval = excf.retval;
+       *(float*)retval = excf.retval;	
        break;
     }
-  case gammal_negative:
-    /* gammal -int or 0 */
+  case tgammal_overflow:
+    /* tgammal overflow */
     {
-       SINGL; NAMEL = (char *) "gammal";
-       ifSVID
+       OVERFLOWL; NAMEL = (char *) "tgammal";
+       ifSVID 
        {
          RETVAL_HUGEL;
+       }
+       else
+       {
+         RETVAL_HUGE_VALL;
+       }
+       NOT_MATHERRL{ERRNO_RANGE;}
+       *(long double*)retval = excl.retval;
+       break;
+    }
+  case tgamma_overflow:
+    /* tgamma overflow */
+    {
+       OVERFLOWD; NAMED = (char *) "tgamma";
+       ifSVID 
+       {
+         RETVAL_HUGED;
+       }
+       else
+       {
+         RETVAL_HUGE_VALD;
+       }
+       NOT_MATHERRD{ERRNO_RANGE;}
+       *(double*)retval = exc.retval;
+       break;
+    }
+  case tgammaf_overflow:
+    /* tgammaf overflow */
+    {
+       OVERFLOWF; NAMEF = (char *) "tgammaf";
+       ifSVID 
+       {
+         RETVAL_HUGEF;
+       }
+       else
+       {
+         RETVAL_HUGE_VALF;
+       }
+       NOT_MATHERRF{ERRNO_RANGE;}
+       *(float*)retval = excf.retval;
+       break;
+    }
+  case tgammal_negative:
+    /* tgammal -int or 0 */
+    {
+       SINGL; NAMEL = (char *) "tgammal";
+       ifSVID 
+       {
          NOT_MATHERRL
          {
-            WRITEL_GAMMA_NEGATIVE;
-            ERRNO_DOMAIN;
+           WRITEL_TGAMMA_NEGATIVE;
+           ERRNO_DOMAIN;
          }
        }
        else
        {
-         RETVAL_HUGE_VALL;
-         NOT_MATHERRL {ERRNO_DOMAIN;}
+         NOT_MATHERRL{ERRNO_DOMAIN;}
        }
-       *(long double *)retval = excl.retval;
+       *(long double*)retval = excl.retval;	
        break;
     }
-  case gamma_negative:
-    /* gamma -int or 0 */
+  case tgamma_negative:
+    /* tgamma -int or 0 */
     {
-       SINGD; NAMED = (char *) "gamma";
-       ifSVID
+       SINGD; NAMED = (char *) "tgamma";
+       ifSVID 
        {
-         RETVAL_HUGED;
          NOT_MATHERRD
          {
-            WRITED_GAMMA_NEGATIVE;
-            ERRNO_DOMAIN;
+           WRITED_TGAMMA_NEGATIVE;
+           ERRNO_DOMAIN;
          }
        }
        else
        {
-         RETVAL_HUGE_VALD;
-         NOT_MATHERRD {ERRNO_DOMAIN;}
+         NOT_MATHERRD{ERRNO_DOMAIN;}
        }
-       *(double *)retval = exc.retval;
+       *(double*)retval = exc.retval;	
        break;
     }
-  case gammaf_negative:
-    /* gammaf -int or 0 */
+  case tgammaf_negative:
+    /* tgammaf -int or 0 */
     {
-       SINGF; NAMEF = (char *) "gammaf";
-       ifSVID
+       SINGF; NAMEF = (char *) "tgammaf";
+       ifSVID 
        {
-         RETVAL_HUGEF;
          NOT_MATHERRF
          {
-            WRITEF_GAMMA_NEGATIVE;
-            ERRNO_DOMAIN;
+           WRITEF_TGAMMA_NEGATIVE;
+           ERRNO_DOMAIN;
          }
        }
        else
        {
-         RETVAL_HUGE_VALF;
-         NOT_MATHERRF {ERRNO_DOMAIN;}
+         NOT_MATHERRF{ERRNO_DOMAIN;}
        }
-       *(float *)retval = excf.retval;
+       *(float*)retval = excf.retval;	
        break;
     }
   case j0l_gt_loss:
@@ -2700,7 +3389,7 @@ else
     {
        TLOSSL; NAMEL = (char *) "j0l";
        RETVAL_ZEROL;
-       ifSVID
+       ifSVID 
        {
          NOT_MATHERRL
          {
@@ -2712,7 +3401,7 @@ else
        {
          NOT_MATHERRL {ERRNO_RANGE;}
        }
-       *(long double *)retval = excl.retval;
+       *(long double *)retval = excl.retval;	
        break;
     }
   case j0_gt_loss:
@@ -2720,7 +3409,7 @@ else
     {
        TLOSSD; NAMED = (char *) "j0";
        RETVAL_ZEROD;
-       ifSVID
+       ifSVID 
        {
          NOT_MATHERRD
          {
@@ -2732,7 +3421,7 @@ else
        {
          NOT_MATHERRD {ERRNO_RANGE;}
        }
-       *(double*)retval = exc.retval;
+       *(double*)retval = exc.retval;	
        break;
     }
   case j0f_gt_loss:
@@ -2740,7 +3429,7 @@ else
     {
        TLOSSF; NAMEF = (char *) "j0f";
        RETVAL_ZEROF;
-       ifSVID
+       ifSVID 
        {
          NOT_MATHERRF
          {
@@ -2760,7 +3449,7 @@ else
     {
        TLOSSL; NAMEL = (char *) "j1l";
        RETVAL_ZEROL;
-       ifSVID
+       ifSVID 
        {
          NOT_MATHERRL
          {
@@ -2772,7 +3461,7 @@ else
        {
          NOT_MATHERRL {ERRNO_RANGE;}
        }
-       *(long double *)retval = excl.retval;
+       *(long double *)retval = excl.retval;	
        break;
     }
   case j1_gt_loss:
@@ -2780,7 +3469,7 @@ else
     {
        TLOSSD; NAMED = (char *) "j1";
        RETVAL_ZEROD;
-       ifSVID
+       ifSVID 
        {
          NOT_MATHERRD
          {
@@ -2792,7 +3481,7 @@ else
        {
          NOT_MATHERRD {ERRNO_RANGE;}
        }
-       *(double*)retval = exc.retval;
+       *(double*)retval = exc.retval;	
        break;
     }
   case j1f_gt_loss:
@@ -2800,7 +3489,7 @@ else
     {
        TLOSSF; NAMEF = (char *) "j1f";
        RETVAL_ZEROF;
-       ifSVID
+       ifSVID 
        {
          NOT_MATHERRF
          {
@@ -2820,7 +3509,7 @@ else
     {
        TLOSSL; NAMEL = (char *) "jnl";
        RETVAL_ZEROL;
-       ifSVID
+       ifSVID 
        {
          NOT_MATHERRL
          {
@@ -2832,7 +3521,7 @@ else
        {
          NOT_MATHERRL {ERRNO_RANGE;}
        }
-       *(long double *)retval = excl.retval;
+       *(long double *)retval = excl.retval;	
        break;
     }
   case jn_gt_loss:
@@ -2840,7 +3529,7 @@ else
     {
        TLOSSD; NAMED = (char *) "jn";
        RETVAL_ZEROD;
-       ifSVID
+       ifSVID 
        {
          NOT_MATHERRD
          {
@@ -2852,7 +3541,7 @@ else
        {
          NOT_MATHERRD {ERRNO_RANGE;}
        }
-       *(double*)retval = exc.retval;
+       *(double*)retval = exc.retval;	
        break;
     }
   case jnf_gt_loss:
@@ -2860,7 +3549,7 @@ else
     {
        TLOSSF; NAMEF = (char *) "jnf";
        RETVAL_ZEROF;
-       ifSVID
+       ifSVID 
        {
          NOT_MATHERRF
          {
@@ -2880,7 +3569,7 @@ else
     {
        TLOSSL; NAMEL = (char *) "y0l";
        RETVAL_ZEROL;
-       ifSVID
+       ifSVID 
        {
          NOT_MATHERRL
          {
@@ -2900,7 +3589,7 @@ else
     {
        TLOSSD; NAMED = (char *) "y0";
        RETVAL_ZEROD;
-       ifSVID
+       ifSVID 
        {
          NOT_MATHERRD
          {
@@ -2920,7 +3609,7 @@ else
     {
        TLOSSF; NAMEF = (char *) "y0f";
        RETVAL_ZEROF;
-       ifSVID
+       ifSVID 
        {
          NOT_MATHERRF
          {
@@ -2939,10 +3628,10 @@ else
     /* y0l(0) */
     {
        DOMAINL; NAMEL = (char *) "y0l";
-       ifSVID
+       ifSVID 
        {
          RETVAL_NEG_HUGEL;
-         NOT_MATHERRL
+         NOT_MATHERRL 
          {
            WRITEL_Y0_ZERO;
            ERRNO_DOMAIN;
@@ -2950,20 +3639,20 @@ else
        }
        else
        {
-         RETVAL_NEG_HUGE_VALL;
+         RETVAL_NEG_HUGE_VALL; 
          NOT_MATHERRL {ERRNO_DOMAIN;}
        }
-       *(long double *)retval = excl.retval;
+       *(long double *)retval = excl.retval;	
        break;
     }
   case y0_zero:
     /* y0(0) */
     {
        DOMAIND; NAMED = (char *) "y0";
-       ifSVID
+       ifSVID 
        {
          RETVAL_NEG_HUGED;
-         NOT_MATHERRD
+         NOT_MATHERRD 
          {
            WRITED_Y0_ZERO;
            ERRNO_DOMAIN;
@@ -2971,20 +3660,20 @@ else
        }
        else
        {
-         RETVAL_NEG_HUGE_VALD;
+         RETVAL_NEG_HUGE_VALD; 
          NOT_MATHERRD {ERRNO_DOMAIN;}
        }
-       *(double *)retval = exc.retval;
+       *(double *)retval = exc.retval;	
        break;
     }
   case y0f_zero:
     /* y0f(0) */
     {
        DOMAINF; NAMEF = (char *) "y0f";
-       ifSVID
+       ifSVID 
        {
          RETVAL_NEG_HUGEF;
-         NOT_MATHERRF
+         NOT_MATHERRF 
          {
            WRITEF_Y0_ZERO;
            ERRNO_DOMAIN;
@@ -2992,10 +3681,10 @@ else
        }
        else
        {
-         RETVAL_NEG_HUGE_VALF;
+         RETVAL_NEG_HUGE_VALF; 
          NOT_MATHERRF {ERRNO_DOMAIN;}
        }
-       *(float *)retval = excf.retval;
+       *(float *)retval = excf.retval;	
        break;
     }
   case y1l_gt_loss:
@@ -3003,7 +3692,7 @@ else
     {
        TLOSSL; NAMEL = (char *) "y1l";
        RETVAL_ZEROL;
-       ifSVID
+       ifSVID 
        {
          NOT_MATHERRL
          {
@@ -3023,7 +3712,7 @@ else
     {
        TLOSSD; NAMED = (char *) "y1";
        RETVAL_ZEROD;
-       ifSVID
+       ifSVID 
        {
          NOT_MATHERRD
          {
@@ -3043,7 +3732,7 @@ else
     {
        TLOSSF; NAMEF = (char *) "y1f";
        RETVAL_ZEROF;
-       ifSVID
+       ifSVID 
        {
          NOT_MATHERRF
          {
@@ -3062,10 +3751,10 @@ else
     /* y1l(0) */
     {
        DOMAINL; NAMEL = (char *) "y1l";
-       ifSVID
+       ifSVID 
        {
          RETVAL_NEG_HUGEL;
-         NOT_MATHERRL
+         NOT_MATHERRL 
          {
            WRITEL_Y1_ZERO;
            ERRNO_DOMAIN;
@@ -3073,20 +3762,20 @@ else
        }
        else
        {
-         RETVAL_NEG_HUGE_VALL;
+         RETVAL_NEG_HUGE_VALL; 
          NOT_MATHERRL {ERRNO_DOMAIN;}
        }
-       *(long double *)retval = excl.retval;
+       *(long double *)retval = excl.retval;	
        break;
     }
   case y1_zero:
     /* y1(0) */
     {
        DOMAIND; NAMED = (char *) "y1";
-       ifSVID
+       ifSVID 
        {
          RETVAL_NEG_HUGED;
-         NOT_MATHERRD
+         NOT_MATHERRD 
          {
            WRITED_Y1_ZERO;
            ERRNO_DOMAIN;
@@ -3094,30 +3783,30 @@ else
        }
        else
        {
-         RETVAL_NEG_HUGE_VALD;
+         RETVAL_NEG_HUGE_VALD; 
          NOT_MATHERRD {ERRNO_DOMAIN;}
        }
-       *(double *)retval = exc.retval;
+       *(double *)retval = exc.retval;	
        break;
     }
   case y1f_zero:
     /* y1f(0) */
     {
        DOMAINF; NAMEF = (char *) "y1f";
-       ifSVID
+       ifSVID 
        {
          RETVAL_NEG_HUGEF;
-         NOT_MATHERRF
+         NOT_MATHERRF 
          {
            WRITEF_Y1_ZERO;
            ERRNO_DOMAIN;
          }
        }else
        {
-         RETVAL_NEG_HUGE_VALF;
+         RETVAL_NEG_HUGE_VALF; 
          NOT_MATHERRF {ERRNO_DOMAIN;}
        }
-       *(float *)retval = excf.retval;
+       *(float *)retval = excf.retval;	
        break;
     }
   case ynl_gt_loss:
@@ -3125,7 +3814,7 @@ else
     {
        TLOSSL; NAMEL = (char *) "ynl";
        RETVAL_ZEROL;
-       ifSVID
+       ifSVID 
        {
          NOT_MATHERRL
          {
@@ -3145,7 +3834,7 @@ else
     {
        TLOSSD; NAMED = (char *) "yn";
        RETVAL_ZEROD;
-       ifSVID
+       ifSVID 
        {
          NOT_MATHERRD
          {
@@ -3165,7 +3854,7 @@ else
     {
        TLOSSF; NAMEF = (char *) "ynf";
        RETVAL_ZEROF;
-       ifSVID
+       ifSVID 
        {
          NOT_MATHERRF
          {
@@ -3184,10 +3873,10 @@ else
     /* ynl(0) */
     {
        DOMAINL; NAMEL = (char *) "ynl";
-       ifSVID
+       ifSVID 
        {
          RETVAL_NEG_HUGEL;
-         NOT_MATHERRL
+         NOT_MATHERRL 
          {
            WRITEL_YN_ZERO;
            ERRNO_DOMAIN;
@@ -3195,20 +3884,20 @@ else
        }
        else
        {
-         RETVAL_NEG_HUGE_VALL;
+         RETVAL_NEG_HUGE_VALL; 
          NOT_MATHERRL {ERRNO_DOMAIN;}
        }
-       *(long double *)retval = excl.retval;
+       *(long double *)retval = excl.retval;	
        break;
     }
   case yn_zero:
     /* yn(0) */
     {
        DOMAIND; NAMED = (char *) "yn";
-       ifSVID
+       ifSVID 
        {
          RETVAL_NEG_HUGED;
-         NOT_MATHERRD
+         NOT_MATHERRD 
          {
            WRITED_YN_ZERO;
            ERRNO_DOMAIN;
@@ -3216,20 +3905,20 @@ else
        }
        else
        {
-         RETVAL_NEG_HUGE_VALD;
+         RETVAL_NEG_HUGE_VALD; 
          NOT_MATHERRD {ERRNO_DOMAIN;}
        }
-       *(double *)retval = exc.retval;
+       *(double *)retval = exc.retval;	
        break;
     }
   case ynf_zero:
     /* ynf(0) */
     {
        DOMAINF; NAMEF = (char *) "ynf";
-       ifSVID
+       ifSVID 
        {
          RETVAL_NEG_HUGEF;
-         NOT_MATHERRF
+         NOT_MATHERRF 
          {
            WRITEF_YN_ZERO;
            ERRNO_DOMAIN;
@@ -3237,20 +3926,20 @@ else
        }
        else
        {
-         RETVAL_NEG_HUGE_VALF;
+         RETVAL_NEG_HUGE_VALF; 
          NOT_MATHERRF {ERRNO_DOMAIN;}
        }
-       *(float *)retval = excf.retval;
+       *(float *)retval = excf.retval;	
        break;
     }
   case y0l_negative:
     /* y0l(x<0) */
     {
        DOMAINL; NAMEL = (char *) "y0l";
-       ifSVID
+       ifSVID 
        {
          RETVAL_NEG_HUGEL;
-         NOT_MATHERRL
+         NOT_MATHERRL 
          {
            WRITEL_Y0_NEGATIVE;
            ERRNO_DOMAIN;
@@ -3258,20 +3947,20 @@ else
        }
        else
        {
-         RETVAL_NEG_HUGE_VALL;
+         RETVAL_NEG_HUGE_VALL; 
          NOT_MATHERRL {ERRNO_DOMAIN;}
        }
-       *(long double *)retval = excl.retval;
+       *(long double *)retval = excl.retval;	
        break;
     }
   case y0_negative:
     /* y0(x<0) */
     {
        DOMAIND; NAMED = (char *) "y0";
-       ifSVID
+       ifSVID 
        {
          RETVAL_NEG_HUGED;
-         NOT_MATHERRD
+         NOT_MATHERRD 
          {
            WRITED_Y0_NEGATIVE;
            ERRNO_DOMAIN;
@@ -3279,20 +3968,20 @@ else
        }
        else
        {
-         RETVAL_NEG_HUGE_VALD;
+         RETVAL_NEG_HUGE_VALD; 
          NOT_MATHERRD {ERRNO_DOMAIN;}
        }
-       *(double *)retval = exc.retval;
+       *(double *)retval = exc.retval;	
        break;
     }
   case y0f_negative:
     /* y0f(x<0) */
     {
        DOMAINF; NAMEF = (char *) "y0f";
-       ifSVID
+       ifSVID 
        {
          RETVAL_NEG_HUGEF;
-         NOT_MATHERRF
+         NOT_MATHERRF 
          {
            WRITEF_Y0_NEGATIVE;
            ERRNO_DOMAIN;
@@ -3300,20 +3989,20 @@ else
        }
        else
        {
-         RETVAL_NEG_HUGE_VALF;
+         RETVAL_NEG_HUGE_VALF; 
          NOT_MATHERRF {ERRNO_DOMAIN;}
        }
-       *(float *)retval = excf.retval;
+       *(float *)retval = excf.retval;	
        break;
     }
   case y1l_negative:
     /* y1l(x<0) */
     {
        DOMAINL; NAMEL = (char *) "y1l";
-       ifSVID
+       ifSVID 
        {
          RETVAL_NEG_HUGEL;
-         NOT_MATHERRL
+         NOT_MATHERRL 
          {
            WRITEL_Y1_NEGATIVE;
            ERRNO_DOMAIN;
@@ -3321,20 +4010,20 @@ else
        }
        else
        {
-         RETVAL_NEG_HUGE_VALL;
+         RETVAL_NEG_HUGE_VALL; 
          NOT_MATHERRL {ERRNO_DOMAIN;}
        }
-       *(long double *)retval = excl.retval;
+       *(long double *)retval = excl.retval;	
        break;
     }
   case y1_negative:
     /* y1(x<0) */
     {
        DOMAIND; NAMED = (char *) "y1";
-       ifSVID
+       ifSVID 
        {
          RETVAL_NEG_HUGED;
-         NOT_MATHERRD
+         NOT_MATHERRD 
          {
            WRITED_Y1_NEGATIUE;
            ERRNO_DOMAIN;
@@ -3342,20 +4031,20 @@ else
        }
        else
        {
-         RETVAL_NEG_HUGE_VALD;
+         RETVAL_NEG_HUGE_VALD; 
          NOT_MATHERRD {ERRNO_DOMAIN;}
        }
-       *(double *)retval = exc.retval;
+       *(double *)retval = exc.retval;	
        break;
     }
   case y1f_negative:
     /* y1f(x<0) */
     {
        DOMAINF; NAMEF = (char *) "y1f";
-       ifSVID
+       ifSVID 
        {
          RETVAL_NEG_HUGEF;
-         NOT_MATHERRF
+         NOT_MATHERRF 
          {
            WRITEF_Y1_NEGATIVE;
            ERRNO_DOMAIN;
@@ -3363,20 +4052,20 @@ else
        }
        else
        {
-         RETVAL_NEG_HUGE_VALF;
+         RETVAL_NEG_HUGE_VALF; 
          NOT_MATHERRF {ERRNO_DOMAIN;}
        }
-       *(float *)retval = excf.retval;
+       *(float *)retval = excf.retval;	
        break;
     }
   case ynl_negative:
     /* ynl(x<0) */
     {
        DOMAINL; NAMEL = (char *) "ynl";
-       ifSVID
+       ifSVID 
        {
          RETVAL_NEG_HUGEL;
-         NOT_MATHERRL
+         NOT_MATHERRL 
          {
           WRITEL_YN_NEGATIVE;
           ERRNO_DOMAIN;
@@ -3384,20 +4073,20 @@ else
        }
        else
        {
-         RETVAL_NEG_HUGE_VALL;
+         RETVAL_NEG_HUGE_VALL; 
          NOT_MATHERRL {ERRNO_DOMAIN;}
        }
-       *(long double *)retval = excl.retval;
+       *(long double *)retval = excl.retval;	
        break;
     }
   case yn_negative:
     /* yn(x<0) */
     {
        DOMAIND; NAMED = (char *) "yn";
-       ifSVID
+       ifSVID 
        {
          RETVAL_NEG_HUGED;
-         NOT_MATHERRD
+         NOT_MATHERRD 
          {
            WRITED_YN_NEGATIVE;
            ERRNO_DOMAIN;
@@ -3405,20 +4094,20 @@ else
        }
        else
        {
-         RETVAL_NEG_HUGE_VALD;
+         RETVAL_NEG_HUGE_VALD; 
          NOT_MATHERRD {ERRNO_DOMAIN;}
        }
-       *(double *)retval = exc.retval;
+       *(double *)retval = exc.retval;	
        break;
     }
   case ynf_negative:
     /* ynf(x<0) */
     {
        DOMAINF; NAMEF = (char *) "ynf";
-       ifSVID
+       ifSVID 
        {
          RETVAL_NEG_HUGEF;
-         NOT_MATHERRF
+         NOT_MATHERRF 
          {
            WRITEF_YN_NEGATIVE;
            ERRNO_DOMAIN;
@@ -3426,18 +4115,18 @@ else
        }
        else
        {
-         RETVAL_NEG_HUGE_VALF;
+         RETVAL_NEG_HUGE_VALF; 
          NOT_MATHERRF {ERRNO_DOMAIN;}
        }
-       *(float *)retval = excf.retval;
+       *(float *)retval = excf.retval;	
        break;
     }
-  case fmodl_by_zero:
+  case fmodl_by_zero: 
     /* fmodl(x,0) */
     {
        DOMAINL; NAMEL = (char *) "fmodl";
-       ifSVID
-       {
+       ifSVID 
+       { 
             *(long double *)retval = *(long double *)arg1;
             NOT_MATHERRL
             {
@@ -3445,21 +4134,21 @@ else
               ERRNO_DOMAIN;
             }
        }
-       else
+       else 
        { /* NaN already computed */
             NOT_MATHERRL {ERRNO_DOMAIN;}
        }
-       *(long double *)retval = excl.retval;
+       *(long double *)retval = excl.retval;	
        break;
     }
-  case fmod_by_zero:
+  case fmod_by_zero: 
     /* fmod(x,0) */
     {
        DOMAIND; NAMED = (char *) "fmod";
-       ifSVID
+       ifSVID 
        {
          *(double *)retval = *(double *)arg1;
-         NOT_MATHERRD
+         NOT_MATHERRD 
          {
            WRITED_FMOD;
            ERRNO_DOMAIN;
@@ -3468,18 +4157,18 @@ else
        else
        { /* NaN already computed */
          NOT_MATHERRD {ERRNO_DOMAIN;}
-       }
-       *(double *)retval = exc.retval;
+       } 
+       *(double *)retval = exc.retval;	
        break;
     }
-  case fmodf_by_zero:
+  case fmodf_by_zero: 
     /* fmodf(x,0) */
     {
        DOMAINF; NAMEF = (char *) "fmodf";
-       ifSVID
+       ifSVID 
        {
          *(float *)retval = *(float *)arg1;
-         NOT_MATHERRF
+         NOT_MATHERRF 
          {
            WRITEF_FMOD;
            ERRNO_DOMAIN;
@@ -3488,36 +4177,36 @@ else
        else
        {
          NOT_MATHERRF {ERRNO_DOMAIN;}
-       }
-       *(float *)retval = excf.retval;
+       } 
+       *(float *)retval = excf.retval;	
        break;
     }
-  case remainderl_by_zero:
+  case remainderl_by_zero: 
     /* remainderl(x,0) */
     {
        DOMAINL; NAMEL = (char *) "remainderl";
-       ifSVID
-       {
+       ifSVID 
+       { 
           NOT_MATHERRL
           {
             WRITEL_REM;
             ERRNO_DOMAIN;
           }
        }
-       else
+       else 
        { /* NaN already computed */
             NOT_MATHERRL {ERRNO_DOMAIN;}
        }
-       *(long double *)retval = excl.retval;
+       *(long double *)retval = excl.retval;	
        break;
     }
-  case remainder_by_zero:
+  case remainder_by_zero: 
     /* remainder(x,0) */
     {
        DOMAIND; NAMED = (char *) "remainder";
-       ifSVID
+       ifSVID 
        {
-         NOT_MATHERRD
+         NOT_MATHERRD 
          {
            WRITED_REM;
            ERRNO_DOMAIN;
@@ -3526,17 +4215,17 @@ else
        else
        { /* NaN already computed */
          NOT_MATHERRD {ERRNO_DOMAIN;}
-       }
-       *(double *)retval = exc.retval;
+       } 
+       *(double *)retval = exc.retval;	
        break;
     }
-  case remainderf_by_zero:
+  case remainderf_by_zero: 
     /* remainderf(x,0) */
     {
        DOMAINF; NAMEF = (char *) "remainderf";
-       ifSVID
+       ifSVID 
        {
-         NOT_MATHERRF
+         NOT_MATHERRF 
          {
            WRITEF_REM;
            ERRNO_DOMAIN;
@@ -3545,12 +4234,14 @@ else
        else
        {
          NOT_MATHERRF {ERRNO_DOMAIN;}
-       }
-       *(float *)retval = excf.retval;
+       } 
+       *(float *)retval = excf.retval;	
        break;
     }
   default:
-    abort();
+    /* We don't want to abort () since SVID doesn't cover all math
+       library functions.  */
+    break;
    }
    return;
    }
diff --git a/sysdeps/ia64/fpu/libm_frexp.S b/sysdeps/ia64/fpu/libm_frexp.S
new file mode 100644
index 0000000000..c6bd676a40
--- /dev/null
+++ b/sysdeps/ia64/fpu/libm_frexp.S
@@ -0,0 +1,209 @@
+.file "libm_frexp.s"
+
+
+// Copyright (c) 2000 - 2003, Intel Corporation
+// All rights reserved.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
+//
+// Redistribution and use in source and binary forms, with or without
+// modification, are permitted provided that the following conditions are
+// met:
+//
+// * Redistributions of source code must retain the above copyright
+// notice, this list of conditions and the following disclaimer.
+//
+// * Redistributions in binary form must reproduce the above copyright
+// notice, this list of conditions and the following disclaimer in the
+// documentation and/or other materials provided with the distribution.
+//
+// * The name of Intel Corporation may not be used to endorse or promote
+// products derived from this software without specific prior written
+// permission.
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
+// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS 
+// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, 
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY 
+// OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 
+// 
+// Intel Corporation is the author of this code, and requests that all
+// problem reports or change requests be submitted to it directly at 
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
+//
+// History
+//==============================================================
+// 02/02/00 Initial version
+// 03/20/00 Improved speed
+// 06/01/00 Fixed bug when x a double-extended denormal
+// 12/08/00 Corrected label on .endp
+// 01/23/02 Added handling for int 32 or 64 bits
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 02/10/03 Reordered header: .section, .global, .proc, .align
+//
+// API
+//==============================================================
+// double __libm_frexp(double x, int* y, int int_type)
+// input  floating point f8, pointer to y (r33), int int_type (r34)
+// output floating point f8, returns the fraction of x, 0.5 <= fraction < 1.0
+// output int* y, returns the true exponent of x
+//
+// int_type = 0 if int is 32 bits
+// int_type = 1 if int is 64 bits
+//
+// int* y is returned as a 32 bit integer if int_type = 0
+// int* y is returned as a 64 bit integer if int_type = 1
+//
+// Overview of operation
+//==============================================================
+// break a floating point x number into fraction and an exponent
+// The fraction is returned as a double
+// The exponent is returned as an integer pointed to by y
+//    This is a true (not a biased exponent) but 0fffe is subtracted
+//    as a bias instead of 0xffff. This is because the fraction returned
+//    is between 0.5 and 1.0, not the expected IEEE range.
+//
+// The fraction is 0.5 <= fraction < 1.0
+//
+// Registers used
+//==============================================================
+//
+// general registers: 
+// r14  exponent bias for x negative
+// r15  exponent bias for x positive
+// r16  signexp of x
+// r17  exponent mask
+// r18  exponent of x
+// r19  exponent result
+// r20  signexp of 2^64
+// r32  on input contains the 64-bit IEEE double that is in f8
+// r33  on input pointer to 32-bit or 64-bit integer for exponent
+// r34  on input contains 0 if output int is 32 bits, else output int is 64 bits
+//
+// predicate registers:
+// p6   set if x is Nan, zero, or infinity
+// p7   set if x negative
+// p8   set if x positive
+// p9   set if x double-extended denormal
+// p10  set if int_type = 0, 32-bit integer
+// p11  set if int_type = 1, 64-bit integer
+//
+// floating-point registers:
+// f8  input, output
+// f9  normalized x
+// f10 signexp for significand result for x positive
+// f11 signexp for significand result for x negative
+// f12 2^64
+
+.section .text
+GLOBAL_LIBM_ENTRY(__libm_frexp)
+
+// Set signexp for significand result for x>0
+// If x is a NaN, zero, or infinity, return it.
+// Put 0 in the int pointer.
+// x NAN, ZERO, INFINITY?
+// Set signexp for significand result for x<0
+{ .mfi
+        mov         r15 = 0x0fffe
+        fclass.m    p6,p7 = f8, 0xe7
+        mov         r14 = 0x2fffe
+}
+// Form signexp of 2^64 in case x double-extended denormal
+// Save the normalized value of input in f9
+// The normalization also sets fault flags and takes faults if necessary
+{ .mfi
+        mov         r20 = 0x1003f
+        fnorm.s0    f9 = f8 
+        nop.i 999 ;;
+}
+
+// Move signexp for significand result for x>0 to FP reg
+// Form 2^64 in case x double-extended denormal
+{ .mmi
+        setf.exp    f10 = r15
+        setf.exp    f12 = r20
+        nop.i 999 ;;
+}
+
+// Move signexp for significand result for x<0 to FP reg
+// p7 if x<0, else p8
+// If x=0,nan,inf, set p10 if output int to be 32 bits, or set p11 if 64 bits
+{ .mfi
+        setf.exp    f11 = r14
+(p7)    fcmp.lt.s0  p7,p8 = f8,f0
+(p6)    cmp.eq.unc  p10,p11 = r34, r0 ;; 
+}
+
+// If x NAN, ZERO, INFINITY, set *y=0 and exit
+{ .mmb
+(p10)   st4         [r33] = r0      // Store *y=0 as 32-bit integer
+(p11)   st8         [r33] = r0      // Store *y=0 as 64-bit integer
+(p6)    br.ret.spnt b0 ;;
+}
+
+// Form exponent mask
+// Test for fnorm(x) denormal, means x double-extended denormal
+{ .mfi
+        mov         r17 = 0x1ffff
+        fclass.m    p9,p0 = f9, 0x0b
+        nop.i 999 ;;
+}
+
+// If x double-extended denormal add 64 to exponent bias for scaling
+// If x double-extended denormal multiply x * 2^64 which is normal
+// Set p10 if output int to be 32 bits, or set p11 if 64 bits
+{ .mfi
+(p9)    add         r15 = 64, r15
+(p9)    fmpy.s0     f9 = f9, f12
+        cmp.eq      p10,p11 = r34, r0 ;; 
+}
+
+// true exponent stored to int pointer
+// the bias is treated as 0xfffe instead of 
+// normal 0xffff because we want the significand
+// to be in the range <=0.5 sig < 1.0
+// Store the value of the exponent at the pointer in r33
+
+// If x>0 form significand result 
+{ .mfi
+        nop.m 999
+(p8)    fmerge.se   f8 = f10,f9
+        nop.i 999  ;;
+}
+
+// Get signexp of normalized x
+// If x<0 form significand result 
+{ .mfi
+        getf.exp    r16 = f9
+(p7)    fmerge.se   f8 = f11,f9
+        nop.i 999  ;;
+}
+
+// Get exp of normalized x
+// Subtract off bias to get true exponent of x
+{ .mmi
+        and         r18 = r17,r16 ;;
+        sub         r19 = r18,r15
+        nop.i 999  ;;
+}
+
+// Store int *y as a 32-bit integer
+// Make the value a double
+{ .mfi
+(p10)   st4         [r33] = r19        // Store *y as 32-bit integer
+        fnorm.d.s0  f8 = f8
+        nop.i 999
+}
+{ .mfb
+(p11)   st8         [r33] = r19        // Store *y as 64-bit integer
+        nop.f 999
+        br.ret.sptk b0 ;;
+}
+
+GLOBAL_LIBM_END(__libm_frexp)
diff --git a/sysdeps/ia64/fpu/libm_frexpf.S b/sysdeps/ia64/fpu/libm_frexpf.S
new file mode 100644
index 0000000000..dde2d09b4b
--- /dev/null
+++ b/sysdeps/ia64/fpu/libm_frexpf.S
@@ -0,0 +1,209 @@
+.file "libm_frexpf.s"
+
+
+// Copyright (c) 2000 - 2003, Intel Corporation
+// All rights reserved.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
+//
+// Redistribution and use in source and binary forms, with or without
+// modification, are permitted provided that the following conditions are
+// met:
+//
+// * Redistributions of source code must retain the above copyright
+// notice, this list of conditions and the following disclaimer.
+//
+// * Redistributions in binary form must reproduce the above copyright
+// notice, this list of conditions and the following disclaimer in the
+// documentation and/or other materials provided with the distribution.
+//
+// * The name of Intel Corporation may not be used to endorse or promote
+// products derived from this software without specific prior written
+// permission.
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
+// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS 
+// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, 
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY 
+// OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 
+// 
+// Intel Corporation is the author of this code, and requests that all
+// problem reports or change requests be submitted to it directly at 
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
+//
+// History
+//==============================================================
+// 02/02/00 Initial version
+// 03/20/00 Improved speed
+// 06/01/00 Fixed bug when x a double-extended denormal
+// 12/08/00 Corrected label on .endp
+// 01/23/02 Added handling for int 32 or 64 bits
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 02/10/03 Reordered header: .section, .global, .proc, .align
+//
+// API
+//==============================================================
+// float __libm_frexpf(float x, int* y, int int_type)
+// input  floating point f8, pointer to y (r33), int int_type (r34)
+// output floating point f8, returns the fraction of x, 0.5 <= fraction < 1.0
+// output int* y, returns the true exponent of x
+//
+// int_type = 0 if int is 32 bits
+// int_type = 1 if int is 64 bits
+//
+// int* y is returned as a 32 bit integer if int_type = 0
+// int* y is returned as a 64 bit integer if int_type = 1
+//
+// Overview of operation
+//==============================================================
+// break a floating point x number into fraction and an exponent
+// The fraction is returned as a float
+// The exponent is returned as an integer pointed to by y
+//    This is a true (not a biased exponent) but 0fffe is subtracted
+//    as a bias instead of 0xffff. This is because the fraction returned
+//    is between 0.5 and 1.0, not the expected IEEE range.
+//
+// The fraction is 0.5 <= fraction < 1.0
+//
+// Registers used
+//==============================================================
+//
+// general registers: 
+// r14  exponent bias for x negative
+// r15  exponent bias for x positive
+// r16  signexp of x
+// r17  exponent mask
+// r18  exponent of x
+// r19  exponent result
+// r20  signexp of 2^64
+// r32  on input contains the 32-bit IEEE float that is in f8
+// r33  on input pointer to 32-bit or 64-bit integer for exponent
+// r34  on input contains 0 if output int is 32 bits, else output int is 64 bits
+//
+// predicate registers:
+// p6   set if x is Nan, zero, or infinity
+// p7   set if x negative
+// p8   set if x positive
+// p9   set if x double-extended denormal
+// p10  set if int_type = 0, 32-bit integer
+// p11  set if int_type = 1, 64-bit integer
+//
+// floating-point registers:
+// f8  input, output
+// f9  normalized x
+// f10 signexp for significand result for x positive
+// f11 signexp for significand result for x negative
+// f12 2^64
+
+.section .text
+GLOBAL_LIBM_ENTRY(__libm_frexpf)
+
+// Set signexp for significand result for x>0
+// If x is a NaN, zero, or infinity, return it.
+// Put 0 in the int pointer.
+// x NAN, ZERO, INFINITY?
+// Set signexp for significand result for x<0
+{ .mfi
+        mov         r15 = 0x0fffe
+        fclass.m    p6,p7 = f8, 0xe7
+        mov         r14 = 0x2fffe
+}
+// Form signexp of 2^64 in case x double-extended denormal
+// Save the normalized value of input in f9
+// The normalization also sets fault flags and takes faults if necessary
+{ .mfi
+        mov         r20 = 0x1003f
+        fnorm.s0    f9 = f8 
+        nop.i 999 ;;
+}
+
+// Move signexp for significand result for x>0 to FP reg
+// Form 2^64 in case x double-extended denormal
+{ .mmi
+        setf.exp    f10 = r15
+        setf.exp    f12 = r20
+        nop.i 999 ;;
+}
+
+// Move signexp for significand result for x<0 to FP reg
+// p7 if x<0, else p8
+// If x=0,nan,inf, set p10 if output int to be 32 bits, or set p11 if 64 bits
+{ .mfi
+        setf.exp    f11 = r14
+(p7)    fcmp.lt.s0  p7,p8 = f8,f0
+(p6)    cmp.eq.unc  p10,p11 = r34, r0 ;; 
+}
+
+// If x NAN, ZERO, INFINITY, set *y=0 and exit
+{ .mmb
+(p10)   st4         [r33] = r0      // Store *y=0 as 32-bit integer
+(p11)   st8         [r33] = r0      // Store *y=0 as 64-bit integer
+(p6)    br.ret.spnt b0 ;;
+}
+
+// Form exponent mask
+// Test for fnorm(x) denormal, means x double-extended denormal
+{ .mfi
+        mov         r17 = 0x1ffff
+        fclass.m    p9,p0 = f9, 0x0b
+        nop.i 999 ;;
+}
+
+// If x double-extended denormal add 64 to exponent bias for scaling
+// If x double-extended denormal multiply x * 2^64 which is normal
+// Set p10 if output int to be 32 bits, or set p11 if 64 bits
+{ .mfi
+(p9)    add         r15 = 64, r15
+(p9)    fmpy.s0     f9 = f9, f12
+        cmp.eq      p10,p11 = r34, r0 ;; 
+}
+
+// true exponent stored to int pointer
+// the bias is treated as 0xfffe instead of 
+// normal 0xffff because we want the significand
+// to be in the range <=0.5 sig < 1.0
+// Store the value of the exponent at the pointer in r33
+
+// If x>0 form significand result 
+{ .mfi
+        nop.m 999
+(p8)    fmerge.se   f8 = f10,f9
+        nop.i 999  ;;
+}
+
+// Get signexp of normalized x
+// If x<0 form significand result 
+{ .mfi
+        getf.exp    r16 = f9
+(p7)    fmerge.se   f8 = f11,f9
+        nop.i 999  ;;
+}
+
+// Get exp of normalized x
+// Subtract off bias to get true exponent of x
+{ .mmi
+        and         r18 = r17,r16 ;;
+        sub         r19 = r18,r15
+        nop.i 999  ;;
+}
+
+// Store int *y as a 32-bit integer
+// Make the value a float
+{ .mfi
+(p10)   st4         [r33] = r19        // Store *y as 32-bit integer
+        fnorm.s.s0  f8 = f8
+        nop.i 999
+}
+{ .mfb
+(p11)   st8         [r33] = r19        // Store *y as 64-bit integer
+        nop.f 999
+        br.ret.sptk b0 ;;
+}
+
+GLOBAL_LIBM_END(__libm_frexpf)
diff --git a/sysdeps/ia64/fpu/libm_frexpl.S b/sysdeps/ia64/fpu/libm_frexpl.S
new file mode 100644
index 0000000000..64f30b6364
--- /dev/null
+++ b/sysdeps/ia64/fpu/libm_frexpl.S
@@ -0,0 +1,209 @@
+.file "libm_frexpl.s"
+
+
+// Copyright (c) 2000 - 2003, Intel Corporation
+// All rights reserved.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
+//
+// Redistribution and use in source and binary forms, with or without
+// modification, are permitted provided that the following conditions are
+// met:
+//
+// * Redistributions of source code must retain the above copyright
+// notice, this list of conditions and the following disclaimer.
+//
+// * Redistributions in binary form must reproduce the above copyright
+// notice, this list of conditions and the following disclaimer in the
+// documentation and/or other materials provided with the distribution.
+//
+// * The name of Intel Corporation may not be used to endorse or promote
+// products derived from this software without specific prior written
+// permission.
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
+// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS 
+// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, 
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY 
+// OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 
+// 
+// Intel Corporation is the author of this code, and requests that all
+// problem reports or change requests be submitted to it directly at 
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
+//
+// History
+//==============================================================
+// 02/02/00 Initial version
+// 03/20/00 Improved speed
+// 06/01/00 Fixed bug when x a double-extended denormal
+// 12/08/00 Corrected label on .endp
+// 01/23/02 Added handling for int 32 or 64 bits
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 02/10/03 Reordered header: .section, .global, .proc, .align
+//
+// API
+//==============================================================
+// long double __libm_frexpl(long double x, int* y, int int_type)
+// input  floating point f8, pointer to y (r34), int int_type (r35)
+// output floating point f8, returns the fraction of x, 0.5 <= fraction < 1.0
+// output int* y, returns the true exponent of x
+//
+// int_type = 0 if int is 32 bits
+// int_type = 1 if int is 64 bits
+//
+// int* y is returned as a 32 bit integer if int_type = 0
+// int* y is returned as a 64 bit integer if int_type = 1
+//
+// Overview of operation
+//==============================================================
+// break a floating point x number into fraction and an exponent
+// The fraction is returned as a long double
+// The exponent is returned as an integer pointed to by y
+//    This is a true (not a biased exponent) but 0fffe is subtracted
+//    as a bias instead of 0xffff. This is because the fraction returned
+//    is between 0.5 and 1.0, not the expected IEEE range.
+//
+// The fraction is 0.5 <= fraction < 1.0
+//
+// Registers used
+//==============================================================
+//
+// general registers: 
+// r14  exponent bias for x negative
+// r15  exponent bias for x positive
+// r16  signexp of x
+// r17  exponent mask
+// r18  exponent of x
+// r19  exponent result
+// r20  signexp of 2^64
+// r32-33  on input contains the 80-bit IEEE long double that is in f8
+// r34  on input pointer to 32-bit or 64-bit integer for exponent
+// r35  on input contains 0 if output int is 32 bits, else output int is 64 bits
+//
+// predicate registers:
+// p6   set if x is Nan, zero, or infinity
+// p7   set if x negative
+// p8   set if x positive
+// p9   set if x double-extended denormal
+// p10  set if int_type = 0, 32-bit integer
+// p11  set if int_type = 1, 64-bit integer
+//
+// floating-point registers:
+// f8  input, output
+// f9  normalized x
+// f10 signexp for significand result for x positive
+// f11 signexp for significand result for x negative
+// f12 2^64
+
+.section .text
+GLOBAL_LIBM_ENTRY(__libm_frexpl)
+
+// Set signexp for significand result for x>0
+// If x is a NaN, zero, or infinity, return it.
+// Put 0 in the int pointer.
+// x NAN, ZERO, INFINITY?
+// Set signexp for significand result for x<0
+{ .mfi
+        mov         r15 = 0x0fffe
+        fclass.m    p6,p7 = f8, 0xe7
+        mov         r14 = 0x2fffe
+}
+// Form signexp of 2^64 in case x double-extended denormal
+// Save the normalized value of input in f9
+// The normalization also sets fault flags and takes faults if necessary
+{ .mfi
+        mov         r20 = 0x1003f
+        fnorm.s0    f9 = f8 
+        nop.i 999 ;;
+}
+
+// Move signexp for significand result for x>0 to FP reg
+// Form 2^64 in case x double-extended denormal
+{ .mmi
+        setf.exp    f10 = r15
+        setf.exp    f12 = r20
+        nop.i 999 ;;
+}
+
+// Move signexp for significand result for x<0 to FP reg
+// p7 if x<0, else p8
+// If x=0,nan,inf, set p10 if output int to be 32 bits, or set p11 if 64 bits
+{ .mfi
+        setf.exp    f11 = r14
+(p7)    fcmp.lt.s0  p7,p8 = f8,f0
+(p6)    cmp.eq.unc  p10,p11 = r35, r0 ;; 
+}
+
+// If x NAN, ZERO, INFINITY, set *y=0 and exit
+{ .mmb
+(p10)   st4         [r34] = r0      // Store *y=0 as 32-bit integer
+(p11)   st8         [r34] = r0      // Store *y=0 as 64-bit integer
+(p6)    br.ret.spnt b0 ;;
+}
+
+// Form exponent mask
+// Test for fnorm(x) denormal, means x double-extended denormal
+{ .mfi
+        mov         r17 = 0x1ffff
+        fclass.m    p9,p0 = f9, 0x0b
+        nop.i 999 ;;
+}
+
+// If x double-extended denormal add 64 to exponent bias for scaling
+// If x double-extended denormal multiply x * 2^64 which is normal
+// Set p10 if output int to be 32 bits, or set p11 if 64 bits
+{ .mfi
+(p9)    add         r15 = 64, r15
+(p9)    fmpy.s0     f9 = f9, f12
+        cmp.eq      p10,p11 = r35, r0 ;; 
+}
+
+// true exponent stored to int pointer
+// the bias is treated as 0xfffe instead of 
+// normal 0xffff because we want the significand
+// to be in the range <=0.5 sig < 1.0
+// Store the value of the exponent at the pointer in r34
+
+// If x>0 form significand result 
+{ .mfi
+        nop.m 999
+(p8)    fmerge.se   f8 = f10,f9
+        nop.i 999  ;;
+}
+
+// Get signexp of normalized x
+// If x<0 form significand result 
+{ .mfi
+        getf.exp    r16 = f9
+(p7)    fmerge.se   f8 = f11,f9
+        nop.i 999  ;;
+}
+
+// Get exp of normalized x
+// Subtract off bias to get true exponent of x
+{ .mmi
+        and         r18 = r17,r16 ;;
+        sub         r19 = r18,r15
+        nop.i 999  ;;
+}
+
+// Store int *y as a 32-bit integer
+// Make the value a long double
+{ .mfi
+(p10)   st4         [r34] = r19        // Store *y as 32-bit integer
+        fnorm.s0    f8 = f8
+        nop.i 999
+}
+{ .mfb
+(p11)   st8         [r34] = r19        // Store *y as 64-bit integer
+        nop.f 999
+        br.ret.sptk b0 ;;
+}
+
+GLOBAL_LIBM_END(__libm_frexpl)
diff --git a/sysdeps/ia64/fpu/libm_lgamma.S b/sysdeps/ia64/fpu/libm_lgamma.S
new file mode 100644
index 0000000000..5c13fc3feb
--- /dev/null
+++ b/sysdeps/ia64/fpu/libm_lgamma.S
@@ -0,0 +1,3594 @@
+.file "libm_lgamma.s"
+
+
+// Copyright (c) 2002 - 2003, Intel Corporation
+// All rights reserved.
+//
+// Contributed 2002 by the Intel Numerics Group, Intel Corporation
+//
+// Redistribution and use in source and binary forms, with or without
+// modification, are permitted provided that the following conditions are
+// met:
+//
+// * Redistributions of source code must retain the above copyright
+// notice, this list of conditions and the following disclaimer.
+//
+// * Redistributions in binary form must reproduce the above copyright
+// notice, this list of conditions and the following disclaimer in the
+// documentation and/or other materials provided with the distribution.
+//
+// * The name of Intel Corporation may not be used to endorse or promote
+// products derived from this software without specific prior written
+// permission.
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES,INCLUDING,BUT NOT
+// LIMITED TO,THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
+// CONTRIBUTORS BE LIABLE FOR ANY DIRECT,INDIRECT,INCIDENTAL,SPECIAL,
+// EXEMPLARY,OR CONSEQUENTIAL DAMAGES (INCLUDING,BUT NOT LIMITED TO,
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,DATA,OR
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
+// OF LIABILITY,WHETHER IN CONTRACT,STRICT LIABILITY OR TORT (INCLUDING
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+// SOFTWARE,EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+//
+// Intel Corporation is the author of this code,and requests that all
+// problem reports or change requests be submitted to it directly at
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
+//
+//*********************************************************************
+//
+// History:
+// 01/10/02  Initial version
+// 01/25/02  Corrected error tag numbers
+// 02/04/02  Added support of SIGN(GAMMA(x)) calculation
+// 05/20/02  Cleaned up namespace and sf0 syntax
+// 09/15/02  Fixed bug on the branch lgamma_negrecursion
+// 10/21/02  Now it returns SIGN(GAMMA(x))=-1 for negative zero
+// 02/10/03  Reordered header: .section, .global, .proc, .align
+//
+//*********************************************************************
+//
+//*********************************************************************
+//
+// Function: __libm_lgamma(double x, int* signgam, int szsigngam)
+// computes the principle value of the logarithm of the GAMMA function
+// of x. Signum of GAMMA(x) is stored to memory starting at the address
+// specified by the signgam.
+//
+//*********************************************************************
+//
+// Resources Used:
+//
+//    Floating-Point Registers: f6-f15
+//                              f32-f122
+//
+//    General Purpose Registers:
+//      r8-r11
+//      r14-r31
+//      r32-r36
+//      r37-r40 (Used to pass arguments to error handling routine)
+//
+//    Predicate Registers:      p6-p15
+//
+//*********************************************************************
+//
+// IEEE Special Conditions:
+//
+//    __libm_lgamma(+inf) = +inf
+//    __libm_lgamma(-inf) = QNaN
+//    __libm_lgamma(+/-0) = +inf
+//    __libm_lgamma(x<0, x - integer) = +inf
+//    __libm_lgamma(SNaN) = QNaN
+//    __libm_lgamma(QNaN) = QNaN
+//
+//*********************************************************************
+//
+// Overview
+//
+// The method consists of three cases.
+//
+// If      512 <= x < OVERFLOW_BOUNDARY   use case lgamma_pstirling;
+// else if 1 < x < 512                    use case lgamma_regular;
+// else if -17 < x < 1                    use case lgamma_negrecursion;
+// else if -512 <  x < -17                use case lgamma_negpoly;
+// else if x < -512                       use case lgamma_negstirling;
+// else if x is close to negative
+//         roots of ln(GAMMA(x))          use case lgamma_negroots;
+//
+//
+// Case 512 <= x < OVERFLOW_BOUNDARY
+// ---------------------------------
+//   Here we use algorithm based on the Stirling formula:
+//   ln(GAMMA(x)) = ln(sqrt(2*Pi)) + (x-0.5)ln(x) - x + (W2 + W4/x^2)/x
+//
+// Case 1 < x < 512
+// ----------------
+//   To calculate GAMMA(x) on this interval we use polynomial approximation
+//   on following intervals [0.875; 1.25), [1.25; 1.75), [1.75, 2.25),
+//   [2.25; 4), [2^i; 2^(i+1)), i=2..8
+//
+//   Following variants of approximation and argument reduction are used:
+//    1. [0.875; 1.25)
+//       ln(GAMMA(x)) ~ (x-1.0)*P17(x-1.0)
+//
+//    2. [1.25; 1.75)
+//       ln(GAMMA(x)) ~ (x-LocalMinimun)*P17(x-LocalMinimun)
+//
+//    3. [1.75, 2.25)
+//       ln(GAMMA(x)) ~ (x-2.0)*P17(x-2.0)
+//
+//    4. [2.25; 4)
+//       ln(GAMMA(x)) ~ P22(x)
+//
+//    5. [2^i; 2^(i+1)), i=2..8
+//       ln(GAMMA(x)) ~ P22((x-2^i)/2^i)
+//
+// Case -17 < x < 1
+// ----------------
+//   Here we use the recursive formula:
+//   ln(GAMMA(x)) = ln(GAMMA(x+1)) - ln(x)
+//
+//   Using this formula we reduce argument to base interval [1.0; 2.0]
+//
+// Case -512 <  x < -17
+// --------------------
+//   Here we use the formula:
+//   ln(GAMMA(-x)) = ln(Pi/(x*GAMMA(x)*sin(Pi*x))) =
+//   = -ln(x) - ln((GAMMA(x)) - ln(sin(Pi*r)/(Pi*r)) - ln(|r|)
+//   where r = x - rounded_to_nearest(x), i.e |r| <= 0.5 and
+//   ln(sin(Pi*r)/(Pi*r)) is approximated by 14-degree polynomial of r^2
+//
+//
+// Case x < -512
+// -------------
+//   Here we use algorithm based on the Stirling formula:
+//   ln(GAMMA(-x)) = -ln(sqrt(2*Pi)) + (-x-0.5)ln(x) + x - (W2 + W4/x^2)/x -
+//   - ln(sin(Pi*r)/(Pi*r)) - ln(|r|)
+//   where r = x - rounded_to_nearest(x).
+//
+// Neighbourhoods of negative roots
+// --------------------------------
+//   Here we use polynomial approximation
+//   ln(GAMMA(x-x0)) = ln(GAMMA(x0)) + (x-x0)*P14(x-x0),
+//   where x0 is a root of ln(GAMMA(x)) rounded to nearest double
+//   precision number.
+//
+
+//*********************************************************************
+
+FR_X                   = f10
+FR_Y                   = f1 // __libm_lgamma is single argument function
+FR_RESULT              = f8
+
+FR_B11                 = f6
+FR_B10                 = f7
+
+FR_int_N               = f9
+FR_N                   = f10
+FR_P5                  = f11
+FR_P4                  = f12
+FR_P3                  = f13
+FR_P2                  = f14
+FR_NormX               = f15
+
+FR_Ln2                 = f32
+FR_C01                 = f33
+FR_A17                 = f33
+FR_C00                 = f34
+FR_Xp2                 = f34
+FR_A00                 = f34
+FR_A16                 = f34
+FR_C11                 = f35
+FR_A15                 = f35
+FR_C10                 = f36
+FR_Xp3                 = f36
+FR_A14                 = f36
+FR_B1                  = f36
+FR_C21                 = f37
+FR_A13                 = f37
+FR_PR01                = f37
+FR_C20                 = f38
+FR_Xp6                 = f38
+FR_A12                 = f38
+FR_C31                 = f39
+FR_Xp7                 = f39
+FR_B0                  = f39
+FR_A11                 = f39
+FR_C30                 = f40
+FR_Xp8                 = f40
+FR_A10                 = f40
+FR_PR00                = f40
+FR_C41                 = f41
+FR_Xp9                 = f41
+FR_A9                  = f41
+FR_PR11                = f41
+FR_C40                 = f42
+FR_A8                  = f42
+FR_C51                 = f43
+FR_Xp11                = f43
+FR_A7                  = f43
+FR_C50                 = f44
+FR_C                   = f44
+FR_Xp12                = f44
+FR_A6                  = f44
+FR_Xm2                 = f45
+FR_Xp13                = f45
+FR_A5                  = f45
+FR_PR10                = f45
+FR_C61                 = f46
+FR_Xp14                = f46
+FR_A4                  = f46
+FR_PR21                = f46
+FR_C60                 = f47
+FR_Xp15                = f47
+FR_A3                  = f47
+FR_PR20                = f47
+FR_C71                 = f48
+FR_Xp16                = f48
+FR_A2                  = f48
+FR_PR31                = f48
+FR_C70                 = f49
+FR_Xp17                = f49
+FR_A1                  = f49
+FR_PR30                = f49
+FR_C81                 = f50
+FR_B17                 = f50
+FR_A0                  = f50
+FR_C80                 = f51
+FR_B16                 = f51
+FR_C91                 = f52
+FR_B15                 = f52
+FR_C90                 = f53
+FR_B14                 = f53
+FR_CA1                 = f54
+FR_B13                 = f54
+FR_CA0                 = f55
+FR_B12                 = f55
+FR_CN                  = f56
+FR_Qlo                 = f56
+FR_PRN                 = f56
+FR_B7                  = f57
+FR_B6                  = f58
+FR_Qhi                 = f59
+FR_x                   = f60
+FR_x2                  = f61
+FR_TpNxLn2             = f62
+FR_W2                  = f63
+FR_x4                  = f64
+FR_r4                  = f64
+FR_x8                  = f65
+FR_r8                  = f65
+FR_r05                 = f66
+FR_Xm05                = f66
+FR_B5                  = f66
+FR_LnSqrt2Pi           = f67
+FR_B4                  = f67
+FR_InvX                = f68
+FR_B3                  = f68
+FR_InvX2               = f69
+FR_B2                  = f69
+FR_W4                  = f70
+FR_OvfBound            = f71
+FR_05                  = f72
+FR_LocalMin            = f73
+FR_tmp                 = f73
+FR_LnX                 = f74
+FR_Xf                  = f75
+FR_InvXf               = f76
+FR_rf                  = f77
+FR_rf2                 = f78
+FR_P54f                = f79
+FR_P32f                = f80
+FR_rf3                 = f81
+FR_P10f                = f82
+FR_TpNxLn2f            = f83
+FR_Nf                  = f84
+FR_LnXf                = f85
+FR_int_Nf              = f86
+FR_Tf                  = f87
+FR_Xf2                 = f88
+FR_Xp10                = f89
+FR_w3                  = f90
+FR_S28                 = f90
+FR_w2                  = f91
+FR_S26                 = f91
+FR_w6                  = f92
+FR_S24                 = f92
+FR_w4                  = f93
+FR_S22                 = f93
+FR_w                   = f94
+FR_S20                 = f94
+FR_Q8                  = f95
+FR_S18                 = f95
+FR_Q7                  = f96
+FR_S16                 = f96
+FR_Q4                  = f97
+FR_S14                 = f97
+FR_Q3                  = f98
+FR_S12                 = f98
+FR_Q6                  = f99
+FR_S10                 = f99
+FR_Q5                  = f100
+FR_S8                  = f100
+FR_Q2                  = f101
+FR_S6                  = f101
+FR_Root                = f101
+FR_S4                  = f102
+FR_Q1                  = f102
+FR_S2                  = f103
+FR_Xp1                 = f104
+FR_Xf4                 = f105
+FR_Xf8                 = f106
+FR_Xfr                 = f107
+FR_Xf6                 = f108
+FR_Ntrunc              = f109
+FR_B9                  = f110
+FR_2                   = f110
+FR_B8                  = f111
+FR_3                   = f111
+FR_5                   = f112
+FR_Xp4                 = f113
+FR_Xp5                 = f114
+FR_P54                 = f115
+FR_P32                 = f116
+FR_P10                 = f117
+FR_r                   = f118
+FR_r2                  = f119
+FR_r3                  = f120
+FR_T                   = f121
+FR_int_Ntrunc          = f122
+
+//===================================
+
+GR_TAG                 = r8
+GR_ExpMask             = r8
+GR_ExpBias             = r9
+GR_ad_Roots            = r9
+GR_Expf                = r10
+GR_Arg                 = r10
+GR_SignExp             = r11
+GR_ArgXfr              = r11
+
+GR_Exp                 = r14
+GR_Arg125              = r14
+GR_RootInd             = r14
+GR_ArgAsIs             = r15
+GR_Arg175              = r15
+GR_Sig                 = r16
+GR_Ind                 = r17
+GR_ad_Dx               = r17
+GR_ad_1                = r18
+GR_SignExp_w           = r19
+GR_2_25                = r19
+GR_Arg025              = r19
+GR_Arg15               = r19
+GR_Arg17               = r19
+GR_Exp_w               = r19//21
+GR_ad_2                = r20
+GR_2xDx                = r21
+GR_SignOfGamma         = r21
+GR_fff9                = r22
+GR_Offs                = r22
+GR_ad_Co7              = r23
+GR_Arg075              = r23
+GR_Arg0875             = r23
+GR_ad_T                = r24
+GR_ad_Root             = r24
+GR_Ind                 = r24
+GR_ad_Co               = r25
+GR_ad_Ce               = r26
+GR_ad_Ce7              = r27
+GR_Arg05               = r27
+GR_Offs7               = r28
+GR_ArgXfrAsIs          = r28
+GR_ExpOf2              = r29
+GR_ad_LnT              = r29
+GR_Dx                  = r29
+GR_ExpOf256            = r30
+GR_0x30033             = r30
+GR_Root                = r30
+GR_PseudoRoot          = r30
+GR_ad_Data             = r31
+GR_ad_SignGam          = r31
+
+
+GR_SAVE_B0             = r33
+GR_SAVE_PFS            = r34
+GR_SAVE_GP             = r35
+GR_SAVE_SP             = r36
+
+GR_Parameter_X         = r37
+GR_Parameter_Y         = r38
+GR_Parameter_RESULT    = r39
+GR_Parameter_TAG       = r40
+
+
+
+// Data tables
+//==============================================================
+
+RODATA
+.align 16
+LOCAL_OBJECT_START(lgamma_data)
+// polynomial approximation of ln(GAMMA(x)), 2.25 <= x < 512
+// [2.25; 4)
+data8 0xF888E8D7892718A2,0xC001 // C01
+data8 0xF62F273BA12A4639,0x3FFD // C11
+data8 0xA93AC50A37EC8D38,0xBFFC // C21
+data8 0xB4CC43D2C161E057,0xBFFF // C31
+data8 0xC6AC672F0C1392C7,0xC000 // C41
+data8 0xA292B9AE3276942E,0xC001 // C51
+data8 0xE554E4CCCA6C7B7B,0xC001 // C61
+data8 0x92F0F55FBC87F860,0xC002 // C71
+data8 0xAF60D0112843F6C1,0xC002 // C81
+data8 0xC5956500FA3D92E7,0xC002 // C91
+data8 0xD3B22CCBD8587750,0xC002 // CA1
+data8 0xD888B6CF34159B54,0x4001 // C00
+data8 0xBCB79C8329FD9F44,0x3FFE // C10
+data8 0xCB8896FAD69C455D,0x4000 // C20
+data8 0xE510A424639EBF5E,0x4001 // C30
+data8 0xC65ED41B097486B3,0x4002 // C40
+// [4; 8)
+data8 0x9F1F3C822D03080E,0xC001 // C01
+data8 0x941CACFA9C0FA8A6,0xC001 // C11
+data8 0xFE34336391D99CB7,0xC000 // C21
+data8 0xC40BAEAA165F81A1,0xC000 // C31
+data8 0xFE3AE166E9B4DE8F,0xBFFF // C41
+data8 0xD744F91AF7DAF873,0xBFFE // C51
+data8 0x87871851E9C32D02,0x3FFD // C61
+data8 0x9C93C03C502E808F,0x3FFF // C71
+data8 0xF78BED07501D6A8E,0x3FFF // C81
+data8 0x92FE41BA8BEADF70,0x4000 // C91
+data8 0xA021878E1903A2C6,0x3FFF // CA1
+data8 0xC85EFAC379FAFEE2,0x4001 // C00
+data8 0xC10D7AAB7CEC7FF2,0x4001 // C10
+data8 0xB3537BDF603E454C,0x4001 // C20
+data8 0xA0D44E3D5BBE44C4,0x4001 // C30
+data8 0x8B9C229B6241E7B3,0x4001 // C40
+// [8; 16)
+data8 0xD16AB33AEC220DF6,0x3FFF // C01
+data8 0x987483646E150BCD,0x4000 // C11
+data8 0x80C10A24C863999B,0x4000 // C21
+data8 0xA39A8EB6F8AACE75,0x3FFF // C31
+data8 0x93E04A1379BEC764,0x3FFD // C41
+data8 0xD9F59C4BD3A69BD1,0xBFFE // C51
+data8 0x82094EC891179B1A,0xC000 // C61
+data8 0xC90CFE3A24F70659,0xC000 // C71
+data8 0x827984EA7C155184,0xC001 // C81
+data8 0x981BFDF79D1E0D80,0xC001 // C91
+data8 0xA37209A8B97D230D,0xC001 // CA1
+data8 0xAA1989737D6BA66D,0x3FFE // C00
+data8 0xDBC013A351630AF8,0x3FFF // C10
+data8 0x8B8D47698299389D,0x4000 // C20
+data8 0xACCDD1315DE06EB0,0x4000 // C30
+data8 0xD3414A5AC81BBB2D,0x4000 // C40
+// [16; 32)
+data8 0xECB2B0BE75C5F995,0x3FFF // C01
+data8 0x9DD28BD6DBC96500,0x4000 // C11
+data8 0x8521431B99C6244F,0x4000 // C21
+data8 0xA95F92612B8413C3,0x3FFF // C31
+data8 0x9C76E643B22D9544,0x3FFD // C41
+data8 0xDD90EA99417C8038,0xBFFE // C51
+data8 0x84EA6B6D32E5F906,0xC000 // C61
+data8 0xCDBFE499E05AA622,0xC000 // C71
+data8 0x8594A7DE35427100,0xC001 // C81
+data8 0x9BC1CB2C10DC702F,0xC001 // C91
+data8 0xA7602268762666B0,0xC001 // CA1
+data8 0xDA082BCC6BDB8F7B,0x3FFE // C00
+data8 0xEEBFE1C99322B85E,0x3FFF // C10
+data8 0x96FED4C785361946,0x4000 // C20
+data8 0xB9E3A7207C16B2FE,0x4000 // C30
+data8 0xE1E8170CED48E2C7,0x4000 // C40
+// [32; 64)
+data8 0xFD481EB9AEDD53E7,0x3FFF // C01
+data8 0xA216FB66AC8C53E1,0x4000 // C11
+data8 0x885FF935787553BA,0x4000 // C21
+data8 0xAD471CD89A313327,0x3FFF // C31
+data8 0x9FF13FBA139D21E0,0x3FFD // C41
+data8 0xE25E1663A6EE0266,0xBFFE // C51
+data8 0x87BE51DD5D262FA2,0xC000 // C61
+data8 0xD211A9D4CCE55696,0xC000 // C71
+data8 0x885BEFC29FDED3C9,0xC001 // C81
+data8 0x9EFA48E6367A67F6,0xC001 // C91
+data8 0xAAD3978FC0791297,0xC001 // CA1
+data8 0xF96D210DF37A0AEA,0x3FFE // C00
+data8 0xFE11DC6783917C82,0x3FFF // C10
+data8 0x9FFCD928291B7DDE,0x4000 // C20
+data8 0xC4518F4A80E09AE1,0x4000 // C30
+data8 0xEDDFE9E0FD297C63,0x4000 // C40
+// [64; 128)
+data8 0x840E2E62609B0AD3,0x4000 // C01
+data8 0xA5275A0DD0D3DDF8,0x4000 // C11
+data8 0x8AADC6ABFC441731,0x4000 // C21
+data8 0xB041C6696BE90E50,0x3FFF // C31
+data8 0xA4A8C9153F4B037E,0x3FFD // C41
+data8 0xE3C6A461A7B86736,0xBFFE // C51
+data8 0x89047681C6DE7673,0xC000 // C61
+data8 0xD42DF77A480092DF,0xC000 // C71
+data8 0x89C25D17F086FB20,0xC001 // C81
+data8 0xA09F907D02E34EC7,0xC001 // C91
+data8 0xAC998A9CB79805B7,0xC001 // CA1
+data8 0x875CC9B69AE964CC,0x3FFF // C00
+data8 0x847836BA85DD4C12,0x4000 // C10
+data8 0xA5F3CB2B32E74936,0x4000 // C20
+data8 0xCAE2197C96CB5A0F,0x4000 // C30
+data8 0xF50F7EB60DE5CD09,0x4000 // C40
+// [128; 256)
+data8 0x87D9065DD1876926,0x4000 // C01
+data8 0xA781C28FDAD7CC25,0x4000 // C11
+data8 0x8C6A4FCE35A7EC8D,0x4000 // C21
+data8 0xB27BA081728354F9,0x3FFF // C31
+data8 0xA82FEA7124B0EB2B,0x3FFD // C41
+data8 0xE4C996E42ECBF77A,0xBFFE // C51
+data8 0x89F1A92C84FA538F,0xC000 // C61
+data8 0xD5B6CFF7DB7F6070,0xC000 // C71
+data8 0x8AC6B561FAE38B66,0xC001 // C81
+data8 0xA1D1505C438D8F46,0xC001 // C91
+data8 0xADE2DC1C924FEC81,0xC001 // CA1
+data8 0x8EF6CC62A7E0EB5A,0x3FFF // C00
+data8 0x88A2FFC0ABCB00C0,0x4000 // C10
+data8 0xAA6EA8FCB75B065B,0x4000 // C20
+data8 0xCFC4B82B3D5C9363,0x4000 // C30
+data8 0xFA60FD85DE861771,0x4000 // C40
+// [256; 512)
+data8 0x8AAA7CE4ED5C1EFD,0x4000 // C01
+data8 0xA9679234FB56F1E1,0x4000 // C11
+data8 0x8DCE02287789D841,0x4000 // C21
+data8 0xB44328EF30A8DE7E,0x3FFF // C31
+data8 0xAB0DC564BFA1AB12,0x3FFD // C41
+data8 0xE5882B16FCF2D3CB,0xBFFE // C51
+data8 0x8AA7F48993006A86,0xC000 // C61
+data8 0xD6E63752D192750D,0xC000 // C71
+data8 0x8B90080B17853295,0xC001 // C81
+data8 0xA2BDD4253128D1AB,0xC001 // C91
+data8 0xAEE1A042F96B8121,0xC001 // CA1
+data8 0x94A9C37A42E43BA7,0x3FFF // C00
+data8 0x8BFA54E703878F5A,0x4000 // C10
+data8 0xADFA426DDF14647B,0x4000 // C20
+data8 0xD39C7F7B3958EAF0,0x4000 // C30
+data8 0xFE8C3987853C01E3,0x4000 // C40
+//
+// [2.25; 4)
+data8 0x943AF77763601441,0x4003 // C50
+data8 0xC8A93F9ECB06E891,0x4003 // C60
+data8 0xFC2E5A4AD33DE19D,0x4003 // C70
+data8 0x9526B75B38670119,0x4004 // C80
+data8 0xA7675879D68B587E,0x4004 // C90
+data8 0xB31DFA672D7FB8C0,0x4004 // CA0
+data8 0x83A27775D86F9A81,0xBFD7 // CN
+// [4; 8)
+data8 0xEB8049BA5E79ADA3,0x4000 // C50
+data8 0xC20C95EA99037228,0x4000 // C60
+data8 0x9D4A8C864053CEB8,0x4000 // C70
+data8 0xFC7716544AB0C5C9,0x3FFF // C80
+data8 0xC7EB985259EABA5F,0x3FFF // C90
+data8 0xC042FB3B4C95096D,0x3FFD // CA0
+data8 0xCC2A7F930856177B,0x3FEE // CN
+// [8; 16)
+data8 0xFE1903679D078C7A,0x4000 // C50
+data8 0x957C221AB90171F1,0x4001 // C60
+data8 0xAB2C53B2A78F4031,0x4001 // C70
+data8 0xBE080AE6063AE387,0x4001 // C80
+data8 0xCC019A0311605CB9,0x4001 // C90
+data8 0xD3739D85A12C8ADF,0x4001 // CA0
+data8 0x81FA4D2B7BD7A82D,0x3FEF // CN
+// [16; 32)
+data8 0x871F69E2DD221F02,0x4001 // C50
+data8 0x9E3EF2D477442A9C,0x4001 // C60
+data8 0xB48733582B3C82C5,0x4001 // C70
+data8 0xC7DB9B3C25854A2A,0x4001 // C80
+data8 0xD628B87975BE898F,0x4001 // C90
+data8 0xDDC569C321FF119C,0x4001 // CA0
+data8 0xB27B65560DF7ADA7,0x3FEF // CN
+// [32; 64)
+data8 0x8DE4127349719B22,0x4001 // C50
+data8 0xA5C30A7760F5FBB2,0x4001 // C60
+data8 0xBCB4096055AA2A4E,0x4001 // C70
+data8 0xD08F5F2FB4E7B899,0x4001 // C80
+data8 0xDF39ED39DC91F9CF,0x4001 // C90
+data8 0xE7063E45322F072E,0x4001 // CA0
+data8 0x85A9E11DDDDE67C8,0x3FF0 // CN
+// [64; 128)
+data8 0x91CA191EB80E8893,0x4001 // C50
+data8 0xA9F1D5A55397334A,0x4001 // C60
+data8 0xC1222710295094E3,0x4001 // C70
+data8 0xD52FFABBA6CBE5C6,0x4001 // C80
+data8 0xE3FD9D5282052E1D,0x4001 // C90
+data8 0xEBDBE47BB662F3EF,0x4001 // CA0
+data8 0xEF889F489D88FD31,0x3FF0 // CN
+// [128; 256)
+data8 0x94AA029C2286F8D2,0x4001 // C50
+data8 0xAD0549E55A72389F,0x4001 // C60
+data8 0xC4628899DAF94BA4,0x4001 // C70
+data8 0xD89432A4161C72CB,0x4001 // C80
+data8 0xE77ABA75E9C38F3A,0x4001 // C90
+data8 0xEF65BFFFF71347FF,0x4001 // CA0
+data8 0xE2627460064D918D,0x3FF1 // CN
+// [256; 512)
+data8 0x96E9890D722C2FC1,0x4001 // C50
+data8 0xAF6C2236F6A1CEC4,0x4001 // C60
+data8 0xC6EBB8C9F987D20D,0x4001 // C70
+data8 0xDB38CEFD5EF328CC,0x4001 // C80
+data8 0xEA3265DC66C9A0B4,0x4001 // C90
+data8 0xF2272D6B368C70B1,0x4001 // CA0
+data8 0xDBFF93ECEBCEF1F3,0x3FF2 // CN
+//
+data8 0x3FDD8B618D5AF8FE // point of local minimum on [1;2]
+data8 0x3FE0000000000000 // 0.5
+data8 0xBFC5555DA7212371 // P5
+data8 0x3FC999A19EEF5826 // P4
+data8 0xb17217f7d1cf79ac,0x3ffe // ln(2)
+data8 0xEB3F8E4325F5A535,0x3FFE // ln(sqrt(4*arcsin(1)))
+//
+data8 0xBFCFFFFFFFFEF009 // P3
+data8 0x3FD555555554ECB2 // P2
+data8 0xBF66C16C16C16C17 // W4=B4/12=-1/360
+data8 0x7F5754D9278B51A8 // overflow boundary (first inf result)
+data8 0xAAAAAAAAAAAAAAAB,0x3FFB // W2=B2/2=1/12
+//
+data8 0x3FBC756AC654273B // Q8
+data8 0xBFC001A42489AB4D // Q7	; 
+data8 0x3FC99999999A169B // Q4
+data8 0xBFD00000000019AC // Q3
+data8 0x3FC2492479AA0DF8 // Q6
+data8 0xBFC5555544986F52 // Q5
+data8 0x3FD5555555555555 // Q2
+data8 0xBFE0000000000000 // Q1, P1 = -0.5
+//
+data8 0x80200aaeac44ef38,0x3ff6 // ln(1/frcpa(1+  0/2^-8))
+data8 0xc09090a2c35aa070,0x3ff7 // ln(1/frcpa(1+  1/2^-8))
+data8 0xa0c94fcb41977c75,0x3ff8 // ln(1/frcpa(1+  2/2^-8))
+data8 0xe18b9c263af83301,0x3ff8 // ln(1/frcpa(1+  3/2^-8))
+data8 0x8d35c8d6399c30ea,0x3ff9 // ln(1/frcpa(1+  4/2^-8))
+data8 0xadd4d2ecd601cbb8,0x3ff9 // ln(1/frcpa(1+  5/2^-8))
+data8 0xce95403a192f9f01,0x3ff9 // ln(1/frcpa(1+  6/2^-8))
+data8 0xeb59392cbcc01096,0x3ff9 // ln(1/frcpa(1+  7/2^-8))
+data8 0x862c7d0cefd54c5d,0x3ffa // ln(1/frcpa(1+  8/2^-8))
+data8 0x94aa63c65e70d499,0x3ffa // ln(1/frcpa(1+  9/2^-8))
+data8 0xa54a696d4b62b382,0x3ffa // ln(1/frcpa(1+ 10/2^-8))
+data8 0xb3e4a796a5dac208,0x3ffa // ln(1/frcpa(1+ 11/2^-8))
+data8 0xc28c45b1878340a9,0x3ffa // ln(1/frcpa(1+ 12/2^-8))
+data8 0xd35c55f39d7a6235,0x3ffa // ln(1/frcpa(1+ 13/2^-8))
+data8 0xe220f037b954f1f5,0x3ffa // ln(1/frcpa(1+ 14/2^-8))
+data8 0xf0f3389b036834f3,0x3ffa // ln(1/frcpa(1+ 15/2^-8))
+data8 0xffd3488d5c980465,0x3ffa // ln(1/frcpa(1+ 16/2^-8))
+data8 0x87609ce2ed300490,0x3ffb // ln(1/frcpa(1+ 17/2^-8))
+data8 0x8ede9321e8c85927,0x3ffb // ln(1/frcpa(1+ 18/2^-8))
+data8 0x96639427f2f8e2f4,0x3ffb // ln(1/frcpa(1+ 19/2^-8))
+data8 0x9defad3e8f73217b,0x3ffb // ln(1/frcpa(1+ 20/2^-8))
+data8 0xa582ebd50097029c,0x3ffb // ln(1/frcpa(1+ 21/2^-8))
+data8 0xac06dbe75ab80fee,0x3ffb // ln(1/frcpa(1+ 22/2^-8))
+data8 0xb3a78449b2d3ccca,0x3ffb // ln(1/frcpa(1+ 23/2^-8))
+data8 0xbb4f79635ab46bb2,0x3ffb // ln(1/frcpa(1+ 24/2^-8))
+data8 0xc2fec93a83523f3f,0x3ffb // ln(1/frcpa(1+ 25/2^-8))
+data8 0xc99af2eaca4c4571,0x3ffb // ln(1/frcpa(1+ 26/2^-8))
+data8 0xd1581106472fa653,0x3ffb // ln(1/frcpa(1+ 27/2^-8))
+data8 0xd8002560d4355f2e,0x3ffb // ln(1/frcpa(1+ 28/2^-8))
+data8 0xdfcb43b4fe508632,0x3ffb // ln(1/frcpa(1+ 29/2^-8))
+data8 0xe67f6dff709d4119,0x3ffb // ln(1/frcpa(1+ 30/2^-8))
+data8 0xed393b1c22351280,0x3ffb // ln(1/frcpa(1+ 31/2^-8))
+data8 0xf5192bff087bcc35,0x3ffb // ln(1/frcpa(1+ 32/2^-8))
+data8 0xfbdf4ff6dfef2fa3,0x3ffb // ln(1/frcpa(1+ 33/2^-8))
+data8 0x81559a97f92f9cc7,0x3ffc // ln(1/frcpa(1+ 34/2^-8))
+data8 0x84be72bce90266e8,0x3ffc // ln(1/frcpa(1+ 35/2^-8))
+data8 0x88bc74113f23def2,0x3ffc // ln(1/frcpa(1+ 36/2^-8))
+data8 0x8c2ba3edf6799d11,0x3ffc // ln(1/frcpa(1+ 37/2^-8))
+data8 0x8f9dc92f92ea08b1,0x3ffc // ln(1/frcpa(1+ 38/2^-8))
+data8 0x9312e8f36efab5a7,0x3ffc // ln(1/frcpa(1+ 39/2^-8))
+data8 0x968b08643409ceb6,0x3ffc // ln(1/frcpa(1+ 40/2^-8))
+data8 0x9a062cba08a1708c,0x3ffc // ln(1/frcpa(1+ 41/2^-8))
+data8 0x9d845b3abf95485c,0x3ffc // ln(1/frcpa(1+ 42/2^-8))
+data8 0xa06fd841bc001bb4,0x3ffc // ln(1/frcpa(1+ 43/2^-8))
+data8 0xa3f3a74652fbe0db,0x3ffc // ln(1/frcpa(1+ 44/2^-8))
+data8 0xa77a8fb2336f20f5,0x3ffc // ln(1/frcpa(1+ 45/2^-8))
+data8 0xab0497015d28b0a0,0x3ffc // ln(1/frcpa(1+ 46/2^-8))
+data8 0xae91c2be6ba6a615,0x3ffc // ln(1/frcpa(1+ 47/2^-8))
+data8 0xb189d1b99aebb20b,0x3ffc // ln(1/frcpa(1+ 48/2^-8))
+data8 0xb51cced5de9c1b2c,0x3ffc // ln(1/frcpa(1+ 49/2^-8))
+data8 0xb819bee9e720d42f,0x3ffc // ln(1/frcpa(1+ 50/2^-8))
+data8 0xbbb2a0947b093a5d,0x3ffc // ln(1/frcpa(1+ 51/2^-8))
+data8 0xbf4ec1505811684a,0x3ffc // ln(1/frcpa(1+ 52/2^-8))
+data8 0xc2535bacfa8975ff,0x3ffc // ln(1/frcpa(1+ 53/2^-8))
+data8 0xc55a3eafad187eb8,0x3ffc // ln(1/frcpa(1+ 54/2^-8))
+data8 0xc8ff2484b2c0da74,0x3ffc // ln(1/frcpa(1+ 55/2^-8))
+data8 0xcc0b1a008d53ab76,0x3ffc // ln(1/frcpa(1+ 56/2^-8))
+data8 0xcfb6203844b3209b,0x3ffc // ln(1/frcpa(1+ 57/2^-8))
+data8 0xd2c73949a47a19f5,0x3ffc // ln(1/frcpa(1+ 58/2^-8))
+data8 0xd5daae18b49d6695,0x3ffc // ln(1/frcpa(1+ 59/2^-8))
+data8 0xd8f08248cf7e8019,0x3ffc // ln(1/frcpa(1+ 60/2^-8))
+data8 0xdca7749f1b3e540e,0x3ffc // ln(1/frcpa(1+ 61/2^-8))
+data8 0xdfc28e033aaaf7c7,0x3ffc // ln(1/frcpa(1+ 62/2^-8))
+data8 0xe2e012a5f91d2f55,0x3ffc // ln(1/frcpa(1+ 63/2^-8))
+data8 0xe600064ed9e292a8,0x3ffc // ln(1/frcpa(1+ 64/2^-8))
+data8 0xe9226cce42b39f60,0x3ffc // ln(1/frcpa(1+ 65/2^-8))
+data8 0xec4749fd97a28360,0x3ffc // ln(1/frcpa(1+ 66/2^-8))
+data8 0xef6ea1bf57780495,0x3ffc // ln(1/frcpa(1+ 67/2^-8))
+data8 0xf29877ff38809091,0x3ffc // ln(1/frcpa(1+ 68/2^-8))
+data8 0xf5c4d0b245cb89be,0x3ffc // ln(1/frcpa(1+ 69/2^-8))
+data8 0xf8f3afd6fcdef3aa,0x3ffc // ln(1/frcpa(1+ 70/2^-8))
+data8 0xfc2519756be1abc7,0x3ffc // ln(1/frcpa(1+ 71/2^-8))
+data8 0xff59119f503e6832,0x3ffc // ln(1/frcpa(1+ 72/2^-8))
+data8 0x8147ce381ae0e146,0x3ffd // ln(1/frcpa(1+ 73/2^-8))
+data8 0x82e45f06cb1ad0f2,0x3ffd // ln(1/frcpa(1+ 74/2^-8))
+data8 0x842f5c7c573cbaa2,0x3ffd // ln(1/frcpa(1+ 75/2^-8))
+data8 0x85ce471968c8893a,0x3ffd // ln(1/frcpa(1+ 76/2^-8))
+data8 0x876e8305bc04066d,0x3ffd // ln(1/frcpa(1+ 77/2^-8))
+data8 0x891012678031fbb3,0x3ffd // ln(1/frcpa(1+ 78/2^-8))
+data8 0x8a5f1493d766a05f,0x3ffd // ln(1/frcpa(1+ 79/2^-8))
+data8 0x8c030c778c56fa00,0x3ffd // ln(1/frcpa(1+ 80/2^-8))
+data8 0x8da85df17e31d9ae,0x3ffd // ln(1/frcpa(1+ 81/2^-8))
+data8 0x8efa663e7921687e,0x3ffd // ln(1/frcpa(1+ 82/2^-8))
+data8 0x90a22b6875c6a1f8,0x3ffd // ln(1/frcpa(1+ 83/2^-8))
+data8 0x91f62cc8f5d24837,0x3ffd // ln(1/frcpa(1+ 84/2^-8))
+data8 0x93a06cfc3857d980,0x3ffd // ln(1/frcpa(1+ 85/2^-8))
+data8 0x94f66d5e6fd01ced,0x3ffd // ln(1/frcpa(1+ 86/2^-8))
+data8 0x96a330156e6772f2,0x3ffd // ln(1/frcpa(1+ 87/2^-8))
+data8 0x97fb3582754ea25b,0x3ffd // ln(1/frcpa(1+ 88/2^-8))
+data8 0x99aa8259aad1bbf2,0x3ffd // ln(1/frcpa(1+ 89/2^-8))
+data8 0x9b0492f6227ae4a8,0x3ffd // ln(1/frcpa(1+ 90/2^-8))
+data8 0x9c5f8e199bf3a7a5,0x3ffd // ln(1/frcpa(1+ 91/2^-8))
+data8 0x9e1293b9998c1daa,0x3ffd // ln(1/frcpa(1+ 92/2^-8))
+data8 0x9f6fa31e0b41f308,0x3ffd // ln(1/frcpa(1+ 93/2^-8))
+data8 0xa0cda11eaf46390e,0x3ffd // ln(1/frcpa(1+ 94/2^-8))
+data8 0xa22c8f029cfa45aa,0x3ffd // ln(1/frcpa(1+ 95/2^-8))
+data8 0xa3e48badb7856b34,0x3ffd // ln(1/frcpa(1+ 96/2^-8))
+data8 0xa5459a0aa95849f9,0x3ffd // ln(1/frcpa(1+ 97/2^-8))
+data8 0xa6a79c84480cfebd,0x3ffd // ln(1/frcpa(1+ 98/2^-8))
+data8 0xa80a946d0fcb3eb2,0x3ffd // ln(1/frcpa(1+ 99/2^-8))
+data8 0xa96e831a3ea7b314,0x3ffd // ln(1/frcpa(1+100/2^-8))
+data8 0xaad369e3dc544e3b,0x3ffd // ln(1/frcpa(1+101/2^-8))
+data8 0xac92e9588952c815,0x3ffd // ln(1/frcpa(1+102/2^-8))
+data8 0xadfa035aa1ed8fdc,0x3ffd // ln(1/frcpa(1+103/2^-8))
+data8 0xaf6219eae1ad6e34,0x3ffd // ln(1/frcpa(1+104/2^-8))
+data8 0xb0cb2e6d8160f753,0x3ffd // ln(1/frcpa(1+105/2^-8))
+data8 0xb2354249ad950f72,0x3ffd // ln(1/frcpa(1+106/2^-8))
+data8 0xb3a056e98ef4a3b4,0x3ffd // ln(1/frcpa(1+107/2^-8))
+data8 0xb50c6dba52c6292a,0x3ffd // ln(1/frcpa(1+108/2^-8))
+data8 0xb679882c33876165,0x3ffd // ln(1/frcpa(1+109/2^-8))
+data8 0xb78c07429785cedc,0x3ffd // ln(1/frcpa(1+110/2^-8))
+data8 0xb8faeb8dc4a77d24,0x3ffd // ln(1/frcpa(1+111/2^-8))
+data8 0xba6ad77eb36ae0d6,0x3ffd // ln(1/frcpa(1+112/2^-8))
+data8 0xbbdbcc915e9bee50,0x3ffd // ln(1/frcpa(1+113/2^-8))
+data8 0xbd4dcc44f8cf12ef,0x3ffd // ln(1/frcpa(1+114/2^-8))
+data8 0xbec0d81bf5b531fa,0x3ffd // ln(1/frcpa(1+115/2^-8))
+data8 0xc034f19c139186f4,0x3ffd // ln(1/frcpa(1+116/2^-8))
+data8 0xc14cb69f7c5e55ab,0x3ffd // ln(1/frcpa(1+117/2^-8))
+data8 0xc2c2abbb6e5fd56f,0x3ffd // ln(1/frcpa(1+118/2^-8))
+data8 0xc439b2c193e6771e,0x3ffd // ln(1/frcpa(1+119/2^-8))
+data8 0xc553acb9d5c67733,0x3ffd // ln(1/frcpa(1+120/2^-8))
+data8 0xc6cc96e441272441,0x3ffd // ln(1/frcpa(1+121/2^-8))
+data8 0xc8469753eca88c30,0x3ffd // ln(1/frcpa(1+122/2^-8))
+data8 0xc962cf3ce072b05c,0x3ffd // ln(1/frcpa(1+123/2^-8))
+data8 0xcadeba8771f694aa,0x3ffd // ln(1/frcpa(1+124/2^-8))
+data8 0xcc5bc08d1f72da94,0x3ffd // ln(1/frcpa(1+125/2^-8))
+data8 0xcd7a3f99ea035c29,0x3ffd // ln(1/frcpa(1+126/2^-8))
+data8 0xcef93860c8a53c35,0x3ffd // ln(1/frcpa(1+127/2^-8))
+data8 0xd0192f68a7ed23df,0x3ffd // ln(1/frcpa(1+128/2^-8))
+data8 0xd19a201127d3c645,0x3ffd // ln(1/frcpa(1+129/2^-8))
+data8 0xd2bb92f4061c172c,0x3ffd // ln(1/frcpa(1+130/2^-8))
+data8 0xd43e80b2ee8cc8fc,0x3ffd // ln(1/frcpa(1+131/2^-8))
+data8 0xd56173601fc4ade4,0x3ffd // ln(1/frcpa(1+132/2^-8))
+data8 0xd6e6637efb54086f,0x3ffd // ln(1/frcpa(1+133/2^-8))
+data8 0xd80ad9f58f3c8193,0x3ffd // ln(1/frcpa(1+134/2^-8))
+data8 0xd991d1d31aca41f8,0x3ffd // ln(1/frcpa(1+135/2^-8))
+data8 0xdab7d02231484a93,0x3ffd // ln(1/frcpa(1+136/2^-8))
+data8 0xdc40d532cde49a54,0x3ffd // ln(1/frcpa(1+137/2^-8))
+data8 0xdd685f79ed8b265e,0x3ffd // ln(1/frcpa(1+138/2^-8))
+data8 0xde9094bbc0e17b1d,0x3ffd // ln(1/frcpa(1+139/2^-8))
+data8 0xe01c91b78440c425,0x3ffd // ln(1/frcpa(1+140/2^-8))
+data8 0xe14658f26997e729,0x3ffd // ln(1/frcpa(1+141/2^-8))
+data8 0xe270cdc2391e0d23,0x3ffd // ln(1/frcpa(1+142/2^-8))
+data8 0xe3ffce3a2aa64922,0x3ffd // ln(1/frcpa(1+143/2^-8))
+data8 0xe52bdb274ed82887,0x3ffd // ln(1/frcpa(1+144/2^-8))
+data8 0xe6589852e75d7df6,0x3ffd // ln(1/frcpa(1+145/2^-8))
+data8 0xe786068c79937a7d,0x3ffd // ln(1/frcpa(1+146/2^-8))
+data8 0xe91903adad100911,0x3ffd // ln(1/frcpa(1+147/2^-8))
+data8 0xea481236f7d35bb0,0x3ffd // ln(1/frcpa(1+148/2^-8))
+data8 0xeb77d48c692e6b14,0x3ffd // ln(1/frcpa(1+149/2^-8))
+data8 0xeca84b83d7297b87,0x3ffd // ln(1/frcpa(1+150/2^-8))
+data8 0xedd977f4962aa158,0x3ffd // ln(1/frcpa(1+151/2^-8))
+data8 0xef7179a22f257754,0x3ffd // ln(1/frcpa(1+152/2^-8))
+data8 0xf0a450d139366ca7,0x3ffd // ln(1/frcpa(1+153/2^-8))
+data8 0xf1d7e0524ff9ffdb,0x3ffd // ln(1/frcpa(1+154/2^-8))
+data8 0xf30c29036a8b6cae,0x3ffd // ln(1/frcpa(1+155/2^-8))
+data8 0xf4412bc411ea8d92,0x3ffd // ln(1/frcpa(1+156/2^-8))
+data8 0xf576e97564c8619d,0x3ffd // ln(1/frcpa(1+157/2^-8))
+data8 0xf6ad62fa1b5f172f,0x3ffd // ln(1/frcpa(1+158/2^-8))
+data8 0xf7e499368b55c542,0x3ffd // ln(1/frcpa(1+159/2^-8))
+data8 0xf91c8d10abaffe22,0x3ffd // ln(1/frcpa(1+160/2^-8))
+data8 0xfa553f7018c966f3,0x3ffd // ln(1/frcpa(1+161/2^-8))
+data8 0xfb8eb13e185d802c,0x3ffd // ln(1/frcpa(1+162/2^-8))
+data8 0xfcc8e3659d9bcbed,0x3ffd // ln(1/frcpa(1+163/2^-8))
+data8 0xfe03d6d34d487fd2,0x3ffd // ln(1/frcpa(1+164/2^-8))
+data8 0xff3f8c7581e9f0ae,0x3ffd // ln(1/frcpa(1+165/2^-8))
+data8 0x803e029e280173ae,0x3ffe // ln(1/frcpa(1+166/2^-8))
+data8 0x80dca10cc52d0757,0x3ffe // ln(1/frcpa(1+167/2^-8))
+data8 0x817ba200632755a1,0x3ffe // ln(1/frcpa(1+168/2^-8))
+data8 0x821b05f3b01d6774,0x3ffe // ln(1/frcpa(1+169/2^-8))
+data8 0x82bacd623ff19d06,0x3ffe // ln(1/frcpa(1+170/2^-8))
+data8 0x835af8c88e7a8f47,0x3ffe // ln(1/frcpa(1+171/2^-8))
+data8 0x83c5f8299e2b4091,0x3ffe // ln(1/frcpa(1+172/2^-8))
+data8 0x8466cb43f3d87300,0x3ffe // ln(1/frcpa(1+173/2^-8))
+data8 0x850803a67c80ca4b,0x3ffe // ln(1/frcpa(1+174/2^-8))
+data8 0x85a9a1d11a23b461,0x3ffe // ln(1/frcpa(1+175/2^-8))
+data8 0x864ba644a18e6e05,0x3ffe // ln(1/frcpa(1+176/2^-8))
+data8 0x86ee1182dcc432f7,0x3ffe // ln(1/frcpa(1+177/2^-8))
+data8 0x875a925d7e48c316,0x3ffe // ln(1/frcpa(1+178/2^-8))
+data8 0x87fdaa109d23aef7,0x3ffe // ln(1/frcpa(1+179/2^-8))
+data8 0x88a129ed4becfaf2,0x3ffe // ln(1/frcpa(1+180/2^-8))
+data8 0x89451278ecd7f9cf,0x3ffe // ln(1/frcpa(1+181/2^-8))
+data8 0x89b29295f8432617,0x3ffe // ln(1/frcpa(1+182/2^-8))
+data8 0x8a572ac5a5496882,0x3ffe // ln(1/frcpa(1+183/2^-8))
+data8 0x8afc2d0ce3b2dadf,0x3ffe // ln(1/frcpa(1+184/2^-8))
+data8 0x8b6a69c608cfd3af,0x3ffe // ln(1/frcpa(1+185/2^-8))
+data8 0x8c101e106e899a83,0x3ffe // ln(1/frcpa(1+186/2^-8))
+data8 0x8cb63de258f9d626,0x3ffe // ln(1/frcpa(1+187/2^-8))
+data8 0x8d2539c5bd19e2b1,0x3ffe // ln(1/frcpa(1+188/2^-8))
+data8 0x8dcc0e064b29e6f1,0x3ffe // ln(1/frcpa(1+189/2^-8))
+data8 0x8e734f45d88357ae,0x3ffe // ln(1/frcpa(1+190/2^-8))
+data8 0x8ee30cef034a20db,0x3ffe // ln(1/frcpa(1+191/2^-8))
+data8 0x8f8b0515686d1d06,0x3ffe // ln(1/frcpa(1+192/2^-8))
+data8 0x90336bba039bf32f,0x3ffe // ln(1/frcpa(1+193/2^-8))
+data8 0x90a3edd23d1c9d58,0x3ffe // ln(1/frcpa(1+194/2^-8))
+data8 0x914d0de2f5d61b32,0x3ffe // ln(1/frcpa(1+195/2^-8))
+data8 0x91be0c20d28173b5,0x3ffe // ln(1/frcpa(1+196/2^-8))
+data8 0x9267e737c06cd34a,0x3ffe // ln(1/frcpa(1+197/2^-8))
+data8 0x92d962ae6abb1237,0x3ffe // ln(1/frcpa(1+198/2^-8))
+data8 0x9383fa6afbe2074c,0x3ffe // ln(1/frcpa(1+199/2^-8))
+data8 0x942f0421651c1c4e,0x3ffe // ln(1/frcpa(1+200/2^-8))
+data8 0x94a14a3845bb985e,0x3ffe // ln(1/frcpa(1+201/2^-8))
+data8 0x954d133857f861e7,0x3ffe // ln(1/frcpa(1+202/2^-8))
+data8 0x95bfd96468e604c4,0x3ffe // ln(1/frcpa(1+203/2^-8))
+data8 0x9632d31cafafa858,0x3ffe // ln(1/frcpa(1+204/2^-8))
+data8 0x96dfaabd86fa1647,0x3ffe // ln(1/frcpa(1+205/2^-8))
+data8 0x9753261fcbb2a594,0x3ffe // ln(1/frcpa(1+206/2^-8))
+data8 0x9800c11b426b996d,0x3ffe // ln(1/frcpa(1+207/2^-8))
+data8 0x9874bf4d45ae663c,0x3ffe // ln(1/frcpa(1+208/2^-8))
+data8 0x99231f5ee9a74f79,0x3ffe // ln(1/frcpa(1+209/2^-8))
+data8 0x9997a18a56bcad28,0x3ffe // ln(1/frcpa(1+210/2^-8))
+data8 0x9a46c873a3267e79,0x3ffe // ln(1/frcpa(1+211/2^-8))
+data8 0x9abbcfc621eb6cb6,0x3ffe // ln(1/frcpa(1+212/2^-8))
+data8 0x9b310cb0d354c990,0x3ffe // ln(1/frcpa(1+213/2^-8))
+data8 0x9be14cf9e1b3515c,0x3ffe // ln(1/frcpa(1+214/2^-8))
+data8 0x9c5710b8cbb73a43,0x3ffe // ln(1/frcpa(1+215/2^-8))
+data8 0x9ccd0abd301f399c,0x3ffe // ln(1/frcpa(1+216/2^-8))
+data8 0x9d7e67f3bdce8888,0x3ffe // ln(1/frcpa(1+217/2^-8))
+data8 0x9df4ea81a99daa01,0x3ffe // ln(1/frcpa(1+218/2^-8))
+data8 0x9e6ba405a54514ba,0x3ffe // ln(1/frcpa(1+219/2^-8))
+data8 0x9f1e21c8c7bb62b3,0x3ffe // ln(1/frcpa(1+220/2^-8))
+data8 0x9f956593f6b6355c,0x3ffe // ln(1/frcpa(1+221/2^-8))
+data8 0xa00ce1092e5498c3,0x3ffe // ln(1/frcpa(1+222/2^-8))
+data8 0xa0c08309c4b912c1,0x3ffe // ln(1/frcpa(1+223/2^-8))
+data8 0xa1388a8c6faa2afa,0x3ffe // ln(1/frcpa(1+224/2^-8))
+data8 0xa1b0ca7095b5f985,0x3ffe // ln(1/frcpa(1+225/2^-8))
+data8 0xa22942eb47534a00,0x3ffe // ln(1/frcpa(1+226/2^-8))
+data8 0xa2de62326449d0a3,0x3ffe // ln(1/frcpa(1+227/2^-8))
+data8 0xa357690f88bfe345,0x3ffe // ln(1/frcpa(1+228/2^-8))
+data8 0xa3d0a93f45169a4b,0x3ffe // ln(1/frcpa(1+229/2^-8))
+data8 0xa44a22f7ffe65f30,0x3ffe // ln(1/frcpa(1+230/2^-8))
+data8 0xa500c5e5b4c1aa36,0x3ffe // ln(1/frcpa(1+231/2^-8))
+data8 0xa57ad064eb2ebbc2,0x3ffe // ln(1/frcpa(1+232/2^-8))
+data8 0xa5f5152dedf4384e,0x3ffe // ln(1/frcpa(1+233/2^-8))
+data8 0xa66f9478856233ec,0x3ffe // ln(1/frcpa(1+234/2^-8))
+data8 0xa6ea4e7cca02c32e,0x3ffe // ln(1/frcpa(1+235/2^-8))
+data8 0xa765437325341ccf,0x3ffe // ln(1/frcpa(1+236/2^-8))
+data8 0xa81e21e6c75b4020,0x3ffe // ln(1/frcpa(1+237/2^-8))
+data8 0xa899ab333fe2b9ca,0x3ffe // ln(1/frcpa(1+238/2^-8))
+data8 0xa9157039c51ebe71,0x3ffe // ln(1/frcpa(1+239/2^-8))
+data8 0xa991713433c2b999,0x3ffe // ln(1/frcpa(1+240/2^-8))
+data8 0xaa0dae5cbcc048b3,0x3ffe // ln(1/frcpa(1+241/2^-8))
+data8 0xaa8a27ede5eb13ad,0x3ffe // ln(1/frcpa(1+242/2^-8))
+data8 0xab06de228a9e3499,0x3ffe // ln(1/frcpa(1+243/2^-8))
+data8 0xab83d135dc633301,0x3ffe // ln(1/frcpa(1+244/2^-8))
+data8 0xac3fb076adc7fe7a,0x3ffe // ln(1/frcpa(1+245/2^-8))
+data8 0xacbd3cbbe47988f1,0x3ffe // ln(1/frcpa(1+246/2^-8))
+data8 0xad3b06b1a5dc57c3,0x3ffe // ln(1/frcpa(1+247/2^-8))
+data8 0xadb90e94af887717,0x3ffe // ln(1/frcpa(1+248/2^-8))
+data8 0xae3754a218f7c816,0x3ffe // ln(1/frcpa(1+249/2^-8))
+data8 0xaeb5d9175437afa2,0x3ffe // ln(1/frcpa(1+250/2^-8))
+data8 0xaf349c322e9c7cee,0x3ffe // ln(1/frcpa(1+251/2^-8))
+data8 0xafb39e30d1768d1c,0x3ffe // ln(1/frcpa(1+252/2^-8))
+data8 0xb032df51c2c93116,0x3ffe // ln(1/frcpa(1+253/2^-8))
+data8 0xb0b25fd3e6035ad9,0x3ffe // ln(1/frcpa(1+254/2^-8))
+data8 0xb1321ff67cba178c,0x3ffe // ln(1/frcpa(1+255/2^-8))
+//
+data8 0xC7DC2985D3B44557,0x3FCA // A00
+//
+// polynomial approximation of ln(GAMMA(x)), 1 <= x < 2.25
+// [0.875,1.25)
+data8 0xBF9A04F7E40C8498,0x3FAB79D8D9380F03 // C17,C16
+data8 0xBFB3B63609CA0CBD,0x3FB5564EA1675539 // C13,C12
+data8 0xBFBC806766F48C41,0x3FC010B36CDA773A // C9,C8
+data8 0xD45CE0BD54BE3D67,0xBFFC // C5
+data8 0xCD26AADF559676D0,0xBFFD // C3
+data8 0x93C467E37DB0C7A7,0xBFFE // C1
+data8 0xBFB10C251723B123,0x3FB2669DAD69A12D // C15,C14
+data8 0xBFB748A3CFCE4717,0x3FB9A01DEE29966A // C11,C10
+data8 0xBFC2703A1D85497E,0x3FC5B40CB0FD353C // C7,C6
+data8 0x8A8991563ECBBA5D,0x3FFD // C4
+data8 0xD28D3312983E9844,0x3FFE // C2
+data8 0,0                       // C0
+// [1.25,1.75)
+data8 0xBF12680486396DE6,0x3F23C51FC332CD9D // C17,C16
+data8 0xBF422633DA3A1496,0x3F4CC70680768857 // C13,C12
+data8 0xBF6E2F1A1F804B5D,0x3F78FCE02A032428 // C9,C8
+data8 0x864D46FA895985C1,0xBFFA // C5
+data8 0x97213C6E35E12043,0xBFFC // C3
+data8 0x8A8A42A401D979B7,0x3FC7 // C1
+data8 0xBF2E098A8A2332A8,0x3F370E61B73B205C // C15,C14
+data8 0xBF56F9849D3BC6CC,0x3F6283126F58D7F4 // C11,C10
+data8 0xBF851F9F9516A98F,0x3F9266E797A1433F // C7,C6
+data8 0x845A14A6A81B0638,0x3FFB // C4
+data8 0xF7B95E4771C55C99,0x3FFD // C2
+data8 0xF8CDCDE61C520E0F,0xBFFB // C0
+// [1.75,2.25)
+data8 0xBEA01D7AFA5D8F52,0x3EB1010986E60253 // C17,C16
+data8 0xBEE3CBEDB4C918AA,0x3EF580F6D9D0F72D // C13,C12
+data8 0xBF2D3FD4C7F68563,0x3F40B36AF884AE9A // C9,C8
+data8 0xF2027E10C7B051EC,0xBFF7 // C5
+data8 0x89F000D2ABB03401,0xBFFB // C3
+data8 0xD8773039049E70B6,0x3FFD // C1
+data8 0xBEC112CD07CFC31A,0x3ED2528A428D30E1 // C15,C14
+data8 0xBF078DE5618D8C9F,0x3F1A127AD811A53D // C11,C10
+data8 0xBF538AC5C2BF540D,0x3F67ADD6EADB5718 // C7,C6
+data8 0xA8991563EC243383,0x3FF9 // C4
+data8 0xA51A6625307D3230,0x3FFD // C2
+data8 0,0                       // C0
+//
+// polynomial approximation of ln(sin(Pi*x)/(Pi*x)), 9 <= x <= 0.5
+data8 0xBFDC1BF0931AE591,0x3FD36D6D6CE263D7 //S28,S26
+data8 0xBFBD516F4FD9FB18,0xBFBBE1703F315086 //S20,S18
+data8 0xAAB5A3CCEFCD3628,0xBFFC //S12
+data8 0x80859B5C318E19A5,0xBFFD //S8
+data8 0x8A8991563EC7EB33,0xBFFE //S4
+data8 0xBFD23AB9E6CC88AC,0xBF9957F5146FC7AF //S24,S22
+data8 0xBFC007B324E23040,0xBFC248DEC29CAC4A //S16,S14
+data8 0xCD00EFF2F8F86899,0xBFFC //S10
+data8 0xADA06587FACD668B,0xBFFD //S6
+data8 0xD28D3312983E98A0,0xBFFF //S2
+//
+data8 0x8090F777D7942F73,0x4001 // PR01
+data8 0xE5B521193CF61E63,0x4000 // PR11
+data8 0xC02C000000001939,0x0000000000000233 // (-15;-14)
+data8 0xC02A000000016124,0x0000000000002BFB // (-14;-13)
+data8 0xC02800000011EED9,0x0000000000025CBB // (-13;-12)
+data8 0xC026000000D7322A,0x00000000001E1095 // (-12;-11)
+data8 0xC0240000093F2777,0x00000000013DD3DC // (-11;-10)
+data8 0xC02200005C7768FB,0x000000000C9539B9 // (-10;-9)
+data8 0xC02000034028B3F9,0x000000007570C565 // (-9;-8)
+data8 0xC01C0033FDEDFE1F,0x00000007357E670E // (-8;-7)
+data8 0xC018016B25897C8D,0x000000346DC5D639 // (-7;-6)
+data8 0xC014086A57F0B6D9,0x0000010624DD2F1B // (-6;-5)
+data8 0xC010284E78599581,0x0000051EB851EB85 // (-5;-4)
+data8 0xC009260DBC9E59AF,0x000028F5C28F5C29 // (-4;-3)
+data8 0xC003A7FC9600F86C,0x0000666666666666 // (-3;-2)
+data8 0xCC15879606130890,0x4000 // PR21
+data8 0xB42FE3281465E1CC,0x4000 // PR31
+//
+data8 0x828185F0B95C9916,0x4001 // PR00
+//
+data8 0xD4D3C819E4E5654B,0x4000 // PR10
+data8 0xA82FBBA4FCC75298,0x4000 // PR20
+data8 0xC02DFFFFFFFFFE52,0x000000000000001C // (-15;-14)
+data8 0xC02BFFFFFFFFE6C7,0x00000000000001A6 // (-14;-13)
+data8 0xC029FFFFFFFE9EDC,0x0000000000002BFB // (-13;-12)
+data8 0xC027FFFFFFEE1127,0x000000000001EEC8 // (-12;-11)
+data8 0xC025FFFFFF28CDD4,0x00000000001E1095 // (-11;-10)
+data8 0xC023FFFFF6C0D7C0,0x000000000101B2B3 // (-10;-9)
+data8 0xC021FFFFA3884BD0,0x000000000D6BF94D // (-9;-8)
+data8 0xC01FFFF97F8159CF,0x00000000C9539B89 // (-8;-7)
+data8 0xC01BFFCBF76B86F0,0x00000007357E670E // (-7;-6)
+data8 0xC017FE92F591F40D,0x000000346DC5D639 // (-6;-5)
+data8 0xC013F7577A6EEAFD,0x00000147AE147AE1 // (-5;-4)
+data8 0xC00FA471547C2FE5,0x00000C49BA5E353F // (-4;-3)
+data8 0xC005FB410A1BD901,0x000053F7CED91687 // (-3;-2)
+data8 0x80151BB918A293AA,0x4000 // PR30
+data8 0xB3C9F8F47422A314,0x400B // PRN
+//
+// right negative roots
+//(-3;-2)
+data8 0x40BFCF8B90BE7F6B,0x40B237623345EFC3 // A15,A14
+data8 0x407A92EFB03B281E,0x40728700C7819759 // A11,A10
+data8 0x403809F04EF4D0F2,0x4038D32F682D9593 // A7,A6
+data8 0xB4A5302C53C2F2D8,0x3FFF // A3
+data8 0xC1FF4B357A9B0383,0x3FFF // A1
+data8 0x409C46632EB4B2D3,0x4091A72AFA2148F5 // A13,A12
+data8 0x4059297AC79A88DB,0x40548EAA7BE7FA6B // A9,A8
+data8 0x4017339FE04B227F,0x4021718D7CA09E02 // A5,A4
+data8 0x9B775D8017AAE668,0x4001 // A2
+data8 0x8191DB68FF4366A1,0x3FC9 // A0
+//(-4;-3)
+data8 0x425260910D35307B,0x422668F5BE7983BB // A15,A14
+data8 0x41A4454DBE4BEE43,0x41799CA93F6EA817 // A11,A10
+data8 0x40FBB97AA1400F31,0x40D293C3F7ADAB15 // A7,A6
+data8 0xE089B8926AE4517B,0x4005 // A3
+data8 0xF90532F97D630C69,0x4001 // A1
+data8 0x41F9F0CF98C5F2EA,0x41D026336C6BF394 // A13,A12
+data8 0x415057F61156D5B8,0x41251EA3055CB754 // A9,A8
+data8 0x40A99A6337D9FC2B,0x408267203D776151 // A5,A4
+data8 0xCEA694BB8A8827A9,0x4003 // A2
+data8 0xF4B02F1D73D30EED,0x3FCD // A0
+//(-5;-4)
+data8 0x4412365489340979,0x43C86441BAFDEE39 // A15,A14
+data8 0x42ED68FCB19352DD,0x42A45FCE3905CD6F // A11,A10
+data8 0x41CD14FE49FD4FCA,0x41855E3DBFA89744 // A7,A6
+data8 0xAACD88D954E0EC16,0x400B // A3
+data8 0xD652E7A490B0DCDF,0x4003 // A1
+data8 0x437F52608E0E752A,0x433560E0633E33D5 // A13,A12
+data8 0x425C83998976DE3D,0x421433DCCD3B473B // A9,A8
+data8 0x4140261EB5732106,0x40F96D18E21AE6CC // A5,A4
+data8 0xA220AE6C09FA8A0E,0x4007 // A2
+data8 0xCC1682D17A2B5A58,0xBFCF // A0
+//(-6;-5)
+data8 0x4630E41D6386CF5A,0x45C2E7992C628C8C // A15,A14
+data8 0x447AABEC714F913A,0x440EDCAB45339F3A // A11,A10
+data8 0x42C9A8D00C97E3CE,0x425F7D8D5BEAB44D // A7,A6
+data8 0x929EC2B1FB95BB5B,0x4012 // A3
+data8 0xF6B970414D717D38,0x4005 // A1
+data8 0x45545E578976F6A2,0x44E738288DD52686 // A13,A12
+data8 0x43A20921FEC49492,0x433557FD7C6A41B3 // A9,A8
+data8 0x41F3E01773761DB4,0x418A225DF2DA6C47 // A5,A4
+data8 0xE7661976117F9312,0x400B // A2
+data8 0xC33C13FEE07494DE,0x3FCF // A0
+//(-7;-6)
+data8 0x4898F1E6133305AD,0x4802C5306FE4A850 // A15,A14
+data8 0x463FD37946B44094,0x45A8D489B784C2DD // A11,A10
+data8 0x43E9500995815F06,0x4354F21E2FEE6DF5 // A7,A6
+data8 0xEF281D1E1BBE10BD,0x4019 // A3
+data8 0xB4EF24F1D78C2029,0x4008 // A1
+data8 0x476AB1D5930011E5,0x46D4867E77BFB622 // A13,A12
+data8 0x45139151ECDEF7C5,0x447F3A2BC6BF466F // A9,A8
+data8 0x42C1D3D50713FA40,0x422F9C7B52556A1B // A5,A4
+data8 0xFE711A4267CEA83A,0x4010 // A2
+data8 0xD11E91B3FF8F4B94,0xBFD2 // A0
+//(-8;-7)
+data8 0x4B39E57569811B6E,0x4A7656073EB1FA21 // A15,A14
+data8 0x482C9B24A516B0BB,0x47698FF55139C62B // A11,A10
+data8 0x452393E2BC8E8D04,0x44628E1C710DA478 // A7,A6
+data8 0x9F2A95AF1B7A773F,0x4022 // A3
+data8 0x9DA03D51C303C918,0x400B // A1
+data8 0x49B24C241A3D5BCB,0x48F01CB936ECDA67 // A13,A12
+data8 0x46A712B3425C6797,0x45E5164114BD6DA1 // A9,A8
+data8 0x43A216A356069D01,0x42E25E42A45E2108 // A5,A4
+data8 0xC1F42ED57BBC2529,0x4016 // A2
+data8 0xB1C7B615A7DCA8A9,0xBFD7 // A0
+//(-9;-8)
+data8 0x4E09D478E5EE857D,0x4D1647782106E9AB // A15,A14
+data8 0x4A3C7F4D51927548,0x49497954796D743A // A11,A10
+data8 0x467387BD6AF0CBDF,0x4582843E134111D2 // A7,A6
+data8 0x9F003C6DE9666513,0x402B // A3
+data8 0x9D8447F6BF99950A,0x400E // A1
+data8 0x4C22364D238C61A9,0x4B300B18050AB940 // A13,A12
+data8 0x4857004D64215772,0x4765074E448C3C9A // A9,A8
+data8 0x44920E9EA07BF624,0x43A257BEC94BBF48 // A5,A4
+data8 0xC1D1C49AC5B2A4B4,0x401C // A2
+data8 0x9A749AF9F2D2E688,0x3FDB // A0
+//(-10;-9)
+data8 0x5102C7C43EA26C83,0x4FDCD174DEB0426B // A15,A14
+data8 0x4C6A036195CD5BAD,0x4B44ABB52B65628A // A11,A10
+data8 0x47D6439374B98FED,0x46B2C3903EF44D7D // A7,A6
+data8 0xE25BAF73AB8A7DB3,0x4034 // A3
+data8 0xB130901CA6D81B61,0x4011 // A1
+data8 0x4EB50BB0726AE206,0x4D907A96E6D2B6E2 // A13,A12
+data8 0x4A20975D78EAF01A,0x48FAF79C9C3E7908 // A9,A8
+data8 0x459044144129A247,0x446D6043FA3150A3 // A5,A4
+data8 0xF547997E083D9BA7,0x4022 // A2
+data8 0x977AF525A6ECA1BC,0x3FDC // A0
+//(-11;-10)
+data8 0x5420A5D5E90C6D73,0x52C4710A503DC67A // A15,A14
+data8 0x4EB2ED07BA88D2A8,0x4D581001ED9A5ECE // A11,A10
+data8 0x494A8A28E9E3DFEF,0x47F1E4E1E476793E // A7,A6
+data8 0xDD0C97E12D4A3378,0x403E // A3
+data8 0xDD7C12D5182FD543,0x4014 // A1
+data8 0x5167ED536877A072,0x500DF9AF21DDC0B6 // A13,A12
+data8 0x4BFEE6F04BC34FF8,0x4AA4175CEF736A5E // A9,A8
+data8 0x4698D1B4388FEC78,0x4541EDE7607A600D // A5,A4
+data8 0xBF9F645F282AC552,0x4029 // A2
+data8 0xAE1BBE4D3CDACCF4,0x3FE1 // A0
+//(-12;-11)
+data8 0x575F0EEF5FB7D4C0,0x55CBB7302B211A7C // A15,A14
+data8 0x5113A4F1825C7CB2,0x4F822A0D46E0605A // A11,A10
+data8 0x4ACED38FC8BE069A,0x493E3B56D2649F18 // A7,A6
+data8 0x8FA8FF5DF8B72D5E,0x4049 // A3
+data8 0x9845417E8598D642,0x4018 // A1
+data8 0x5437780541C3F2D3,0x52A56279B563C1B2 // A13,A12
+data8 0x4DF0F71A48C50188,0x4C600B358988DEBF // A9,A8
+data8 0x47AE7EE95BDA3DE9,0x46200599DC16B18F // A5,A4
+data8 0xB5249F914932E55D,0x4030 // A2
+data8 0xEAE760CD2C086094,0x3FE5 // A0
+//(-13;-12)
+data8 0x5ABA5848651F6D18,0x58EF60D8A817650B // A15,A14
+data8 0x538A8CA86E13EFB1,0x51C05DBD4D01076D // A11,A10
+data8 0x4C607594C339D259,0x4A9585BD5BF932BB // A7,A6
+data8 0xF26D282C36EC3611,0x4053 // A3
+data8 0xE467DF4810EE7EEE,0x401B // A1
+data8 0x5721D9BA485E8CC3,0x5555AF2CCFB2104D // A13,A12
+data8 0x4FF4619A17B14EA6,0x4E29B2F29EB9F8C4 // A9,A8
+data8 0x48CCF27629D46E79,0x47044715F991A63D // A5,A4
+data8 0xCBC92FB9BDAA95A9,0x4037 // A2
+data8 0xFB743A426163665B,0xBFE6 // A0
+//(-14;-13)
+data8 0x5E3295B24B353EAA,0x5C2B447E29796F20 // A15,A14
+data8 0x5615A35CB5EAFAE5,0x54106AB089C95CAF // A11,A10
+data8 0x4DFEC7D93501900A,0x4BF8C4C685F01B83 // A7,A6
+data8 0x820899603D9A74D5,0x405F // A3
+data8 0xB9949919933821CB,0x401F // A1
+data8 0x5A23373DB9A995AC,0x581CBA0AF7F53009 // A13,A12
+data8 0x520929836BB304CD,0x500386409A7076DA // A9,A8
+data8 0x49F480173FEAF90B,0x47F1ACB14B810793 // A5,A4
+data8 0x86881B8674DBF205,0x403F // A2
+data8 0x8CF3CC35AA2C5F90,0x3FED // A0
+//(-15;-14)
+data8 0x61C37D53BE0029D6,0x5F80667CD9D68354 // A15,A14
+data8 0x58B3F01898E6605B,0x567149652116DB6A // A11,A10
+data8 0x4FA82FA4F5D35B00,0x4D663DB00832DF8F // A7,A6
+data8 0xAE426731C9B94996,0x406A // A3
+data8 0xA264C84BE3708F3F,0x4023 // A1
+data8 0x5D3B254BC1C806A8,0x5AF72E736048B553 // A13,A12
+data8 0x542E476505104BB0,0x51EAD96CDC4FB48F // A9,A8
+data8 0x4B25095F498DB134,0x48E4B9FDEBFE24AB // A5,A4
+data8 0xCE076A5A116C1D34,0x4046 // A2
+data8 0x940013871A15050B,0x3FF1 // A0
+//
+// left negative roots
+//(-3;-2)
+data8 0x41AEB7998DBE2B2C,0xC19053D8FAC05DF7 // A16,A15
+data8 0x4133197BF1ADEAF9,0xC1150728B9B82072 // A12,A11
+data8 0x40BDBA65E74F4526,0xC0A12239BEEF8F72 // A8,A7
+data8 0xFA8256664F99E2AA,0x4004 // A4
+data8 0x9933F9E132D2A5DB,0x4002 // A2
+data8 0x416FFB167B85F77C,0xC15166AE0ACCF87C // A14,A13
+data8 0x40F75815106322C0,0xC0DA2D23C59C348D // A10,A9
+data8 0x4084373F7CC42043,0xC0685884581F8C61 // A6,A5
+data8 0xA0C2D6186460FF9D,0xC003 // A3
+data8 0xF5096D48258CA0AD,0xBFFF // A1
+//(-4;-3)
+data8 0xC3E5BD233016D4B9,0x43A084DAD2D94AB1 // A15,A14
+data8 0xC2CCFFF5E5AED722,0x4286D143AC7D29A6 // A11,A10
+data8 0xC1B7DBBE0680D07B,0x4173E8F3ABB79CED // A7,A6
+data8 0xE929ACEA59799BAF,0xC00A // A3
+data8 0xA5CCECB362B21E1C,0xC003 // A1
+data8 0xC357EED873871B81,0x43128E0B873204FC // A13,A12
+data8 0xC242225FA76E8450,0x41FD2F76AE7386CE // A9,A8
+data8 0xC13116F7806D0C7A,0x40EE8F829F141025 // A5,A4
+data8 0xFBB6F57021B5B397,0x4006 // A2
+data8 0xEEE019B4C05AC269,0xBFCB // A0
+//(-5;-4)
+data8 0xC626A52FE8AAA100,0x45B9FD1F4DDFE31E // A15,A14
+data8 0xC473812A5675F08B,0x440738530AECC254 // A11,A10
+data8 0xC2C5068B3F94AC27,0x425A8C5C539A500B // A7,A6
+data8 0x869FBFF732F20C3A,0xC012 // A3
+data8 0xE91251F7CF25A655,0xC005 // A1
+data8 0xC54C18CB48E5DA0F,0x44E07BD36FF561DF // A13,A12
+data8 0xC39BEC120D2FEBEA,0x4330FFA5388435BE // A9,A8
+data8 0xC1F13D5D163B7FB5,0x418752A6F5AC0F39 // A5,A4
+data8 0xDA99E33C51D360F0,0x400B // A2
+data8 0x9F47A66A2F53D9B9,0x3FD1 // A0
+//(-6;-5)
+data8 0xC8970DAC16B6D59E,0x480170728306FD76 // A15,A14
+data8 0xC63E0E5030604CF3,0x45A7924D74D57C65 // A11,A10
+data8 0xC3E8684E41730FC6,0x43544D54EA2E5B9A // A7,A6
+data8 0xEB7404450C47C5F4,0xC019 // A3
+data8 0xB30FB521D2C19F8B,0xC008 // A1
+data8 0xC768F34D35DF6320,0x46D348B3BB2E68B8 // A13,A12
+data8 0xC512AC2FE5EA638E,0x447DF44BC7FC5E17 // A9,A8
+data8 0xC2C15EA6B0AAFEF9,0x422EF5D308DBC420 // A5,A4
+data8 0xFBCEE5BCA70FD3A3,0x4010 // A2
+data8 0x8589A7CFFE0A3E86,0xBFD5 // A0
+//(-7;-6)
+data8 0xCB3995A0CC961E5A,0x4A7615C6C7116ADD // A15,A14
+data8 0xC82C5AFE0BF9C427,0x47695BD2F367668B // A11,A10
+data8 0xC52377E70BA14CF5,0x4462775E859E4392 // A7,A6
+data8 0x9EC8ED6E4C3D4DBE,0xC022 // A3
+data8 0x9D5FBD2E75520E65,0xC00B // A1
+data8 0xC9B21BB881A4DDF8,0x48EFEAB06FBA0207 // A13,A12
+data8 0xC6A6E8550CBC188F,0x45E4F3D26238B099 // A9,A8
+data8 0xC3A20427DF1B110A,0x42E24F3D636F2E4E // A5,A4
+data8 0xC1A4D12A82280CFB,0x4016 // A2
+data8 0xEF46D8DCCA9E8197,0x3FD2 // A0
+//(-8;-7)
+data8 0xCE0946982B27DE5B,0x4D15DBC6664E2DD2 // A15,A14
+data8 0xCA3C769F6B3B2B93,0x49497251CD0C4363 // A11,A10
+data8 0xC67384066C47F489,0x458281393433AB28 // A7,A6
+data8 0x9EF3459926D0F14F,0xC02B // A3
+data8 0x9D7BB7F2600DFF0B,0xC00E // A1
+data8 0xCC22351326C939A7,0x4B3009431C4F1D3F // A13,A12
+data8 0xC856FAADDD48815D,0x476502BC3ECA040C // A9,A8
+data8 0xC4920C2A84173810,0x43A255C052525F99 // A5,A4
+data8 0xC1C73B6554011EFA,0x401C // A2
+data8 0x954612700ADF8317,0xBFD8 // A0
+//(-9;-8)
+data8 0xD102F5CC7B590D3A,0x4FDD0F1C30E4EB22 // A15,A14
+data8 0xCC6A02912B0DF650,0x4B44AB18E4FCC159 // A11,A10
+data8 0xC7D64314B4A2FAAB,0x46B2C334AE5E2D34 // A7,A6
+data8 0xE2598724F7E28E99,0xC034 // A3
+data8 0xB12F6FE2E195452C,0xC011 // A1
+data8 0xCEB507747AF9356A,0x4D907802C08BA48F // A13,A12
+data8 0xCA2096E3DC29516F,0x48FAF6ED046A1DB7 // A9,A8
+data8 0xC59043D21BA5EE56,0x446D5FE468B30450 // A5,A4
+data8 0xF5460A8196B59C83,0x4022 // A2
+data8 0xB108F35A8EDA92D5,0xBFDD // A0
+//(-10;-9)
+data8 0xD420430D91F8265B,0x52C406CAAAC9E0EE // A15,A14
+data8 0xCEB2ECDDDAA3DAD1,0x4D580FDA97F92E3A // A11,A10
+data8 0xC94A8A192341B5D4,0x47F1E4D8C690D07B // A7,A6
+data8 0xDD0C5F920C2F0D2B,0xC03E // A3
+data8 0xDD7BED3631657B48,0xC014 // A1
+data8 0xD167F410E64E90A4,0x500DFFED20F714A7 // A13,A12
+data8 0xCBFEE6D9043169E9,0x4AA4174F64B40AA7 // A9,A8
+data8 0xC698D1A9AF0AB9C2,0x4541EDE14987A887 // A5,A4
+data8 0xBF9F43D461B3DE6E,0x4029 // A2
+data8 0xF3891A50642FAF26,0x3FE1 // A0
+//(-11;-10)
+data8 0xD75F0EEAF769D42A,0x55CBB72C8869183A // A15,A14
+data8 0xD113A4EF80394F77,0x4F822A0B96B3ECA9 // A11,A10
+data8 0xCACED38DC75763CB,0x493E3B5522D2D028 // A7,A6
+data8 0x8FA8FB5C92533701,0xC049 // A3
+data8 0x98453EDB9339C24E,0xC018 // A1
+data8 0xD43778026CCD4B20,0x52A5627753273B9B // A13,A12
+data8 0xCDF0F718DD7E1214,0x4C600B34582911EB // A9,A8
+data8 0xC7AE7EE7F112362C,0x46200599439C264F // A5,A4
+data8 0xB5249C335342B5BC,0x4030 // A2
+data8 0x881550711D143475,0x3FE4 // A0
+//(-12;-11)
+data8 0xDAB9C724EEEE2BBB,0x58EEC971340EDDBA // A15,A14
+data8 0xD38A8C8AE63BD8BF,0x51C05DB21CEE00D3 // A11,A10
+data8 0xCC607594C311C12D,0x4A9585BD5BE6AB57 // A7,A6
+data8 0xF26D282C36EC0E66,0xC053 // A3
+data8 0xE467DF1FA674BFAE,0xC01B // A1
+data8 0xD721DE506999AA9C,0x5555B34F71B45132 // A13,A12
+data8 0xCFF4619A476BF76F,0x4E29B2F2BBE7A67E // A9,A8
+data8 0xC8CCF27629D48EDC,0x47044715F991AB46 // A5,A4
+data8 0xCBC92FB9BDAA928D,0x4037 // A2
+data8 0xCE27C4F01CF53284,0xBFE6 // A0
+//(-13;-12)
+data8 0xDE3295B24355C5A1,0x5C2B447E298B562D // A15,A14
+data8 0xD615A35CB5E92103,0x54106AB089C95E8C // A11,A10
+data8 0xCDFEC7D935019005,0x4BF8C4C685F01B83 // A7,A6
+data8 0x820899603D9A74D5,0xC05F // A3
+data8 0xB9949916F8DF4AC4,0xC01F // A1
+data8 0xDA23373DBA0B7548,0x581CBA0AF7F45C01 // A13,A12
+data8 0xD20929836BB30934,0x500386409A7076D6 // A9,A8
+data8 0xC9F480173FEAF90B,0x47F1ACB14B810793 // A5,A4
+data8 0x86881B8674DBF205,0x403F // A2
+data8 0x8CFAFA9A142C1FF0,0x3FED // A0
+//(-14;-13)
+data8 0xE1C33F356FA2C630,0x5F8038B8AA919DD7 // A15,A14
+data8 0xD8B3F0167E14982D,0x5671496400BAE0DB // A11,A10
+data8 0xCFA82FA4F5D25C3E,0x4D663DB008328C58 // A7,A6
+data8 0xAE426731C9B94980,0xC06A // A3
+data8 0xA264C84BB8A66F86,0xC023 // A1
+data8 0xDD3B26E34762ED1E,0x5AF72F76E3C1B793 // A13,A12
+data8 0xD42E476507E3D06E,0x51EAD96CDD881DFA // A9,A8
+data8 0xCB25095F498DB15F,0x48E4B9FDEBFE24B5 // A5,A4
+data8 0xCE076A5A116C1D32,0x4046 // A2
+data8 0x94001BF5A24966F5,0x3FF1 // A0
+//(-15;-14)
+data8 0xE56DB8B72D7156FF,0x62EAB0CDB22539BE // A15,A14
+data8 0xDB63D76B0D3457E7,0x58E254823D0AE4FF // A11,A10
+data8 0xD15F060BF548404A,0x4EDE65C20CD4E961 // A7,A6
+data8 0x900DA565ED76C19D,0xC076 // A3
+data8 0x9868C809852DA712,0xC027 // A1
+data8 0xE067CCDA0408AAF0,0x5DE5A79C5C5C54AF // A13,A12
+data8 0xD6611ADBF5958ED0,0x53E0294092BE9677 // A9,A8
+data8 0xCC5EA28D90EE8C5D,0x49E014930EF336EE // A5,A4
+data8 0xB57930DCE7A61AE8,0x404E // A2
+data8 0x976BEC1F30DF151C,0x3FF5 // A0
+LOCAL_OBJECT_END(lgamma_data)
+
+
+.section .text
+GLOBAL_LIBM_ENTRY(__libm_lgamma)
+
+{ .mfi
+      getf.exp      GR_SignExp = f8
+      frcpa.s1      FR_C,p9 = f1,f8
+      mov           GR_ExpMask = 0x1ffff
+}
+{ .mfi
+      addl          GR_ad_Data = @ltoff(lgamma_data),gp
+      fcvt.fx.s1    FR_int_N = f8
+      mov           GR_2_25 = 0x4002 // 2.25
+};;
+{ .mfi
+      getf.d        GR_ArgAsIs = f8
+      fclass.m      p13,p0 = f8,0x1EF // is x NaTVal, NaN,
+                                      // +/-0, +/-INF or +/-deno?
+      mov           GR_ExpBias = 0xFFFF
+}
+{ .mfi
+      ld8           GR_ad_Data = [GR_ad_Data]
+      fcvt.fx.trunc.s1 FR_int_Ntrunc = f8
+      mov           GR_ExpOf256 = 0x10007
+};;
+{ .mfi
+      mov           GR_ExpOf2 = 0x10000
+      fcmp.lt.s1    p14,p15 = f8,f0 // p14 if x<0
+      dep.z         GR_Ind = GR_SignExp,8,4
+}
+{ .mfi
+      and           GR_Exp = GR_SignExp,GR_ExpMask
+      fma.s1        FR_2 = f1,f1,f1
+      cmp.lt        p10,p0 = GR_SignExp,GR_ExpBias
+};;
+{ .mfi
+      add           GR_ad_1 = 0xB80,GR_ad_Data
+      fnorm.s1      FR_NormX = f8
+      shr.u         GR_Arg = GR_ArgAsIs,48
+}
+{ .mib
+      add           GR_ad_Co = GR_Ind,GR_ad_Data
+      add           GR_ad_Ce = 0x10,GR_ad_Data
+      // jump if the input argument is NaTVal, NaN, +/-0, +/-INF or +/-deno
+(p13) br.cond.spnt  lgamma_spec
+};;
+lgamma_common:
+{ .mfi
+      ldfpd         FR_LocalMin,FR_05 = [GR_ad_1],16
+      fmerge.se     FR_x = f1,f8
+      add           GR_ad_2 = 0xBC0,GR_ad_Data
+}
+{ .mfb
+      add           GR_ad_Ce = GR_Ind,GR_ad_Ce
+      fms.s1        FR_w = f8,f1,f1 // x-1
+      // jump if the input argument is positive and  less than 1.0
+(p10) br.cond.spnt  lgamma_0_1
+};;
+{ .mfi
+      ldfe          FR_C01 = [GR_ad_Co],32
+      fnma.s1       FR_InvX = FR_C,f8,f1 // NR iteration #1
+(p15) cmp.lt.unc    p8,p0 = GR_ExpOf256,GR_SignExp
+}
+{ .mib
+      ldfe          FR_C11 = [GR_ad_Ce],32
+(p15) cmp.lt.unc    p11,p0 = GR_Arg,GR_2_25
+      // jump if the input argument isn't less than 512.0
+(p8)  br.cond.spnt  lgamma_pstirling
+};;
+{ .mfi
+      ldfe          FR_C21 = [GR_ad_Co],32
+(p14) fms.s1        FR_r = FR_C,f8,f1 // reduced arg for log(x)
+(p14) cmp.lt.unc    p0,p9 = GR_Exp,GR_ExpOf256
+}
+{ .mib
+      ldfe          FR_C31 = [GR_ad_Ce],32
+      add           GR_ad_Co7 = 0x12C0,GR_ad_2
+      // jump if the input argument is from range [1.0; 2.25)
+(p11) br.cond.spnt  lgamma_1_2
+};;
+{ .mfi
+      ldfe          FR_C41 = [GR_ad_Co],32
+      fcvt.xf       FR_N = FR_int_N
+      add           GR_ad_Ce7 = 0x1310,GR_ad_2
+}
+{ .mfb
+      ldfe          FR_C51 = [GR_ad_Ce],32
+(p14) fma.s1        FR_5 = FR_2,FR_2,f1
+      // jump if the input argument is less or equal to -512.0
+(p9)  br.cond.spnt  lgamma_negstirling
+};;
+{ .mfi
+      ldfe          FR_C61 = [GR_ad_Co],32
+(p14) fcvt.xf       FR_Ntrunc = FR_int_Ntrunc
+      shr           GR_Ind = GR_Ind,4
+}
+{ .mfi
+      ldfe          FR_C71 = [GR_ad_Ce],32
+(p14) fma.s1        FR_Xp1 = f1,f1,FR_NormX // x+1
+      cmp.eq        p6,p7 = GR_ExpOf2,GR_SignExp
+};;
+.pred.rel "mutex",p6,p7
+{ .mfi
+      ldfe          FR_C81 = [GR_ad_Co],32
+(p6)  fma.s1        FR_x = f0,f0,FR_NormX
+      shladd        GR_Offs7 = GR_Ind,2,GR_Ind // (ind*16)*5
+}
+{ .mfi
+      ldfe          FR_C91 = [GR_ad_Ce],32
+(p7)  fms.s1        FR_x = FR_x,f1,f1
+      add           GR_ad_Co7 = 0x800,GR_ad_Data
+};;
+{ .mfi
+      ldfe          FR_CA1 = [GR_ad_Co],32
+(p14) fma.s1        FR_3 = f1,f1,FR_2
+      shladd        GR_Offs7 = GR_Ind,1,GR_Offs7 // (ind*16)*7
+}
+{ .mfi
+      ldfe          FR_C00 = [GR_ad_Ce],32
+(p14) fma.s1        FR_Xp4 = FR_2,FR_2,FR_NormX
+      add           GR_ad_Ce7 = 0x810,GR_ad_Data
+};;
+{ .mfi
+      ldfe          FR_C10 = [GR_ad_Co],32
+(p6)  fms.s1        FR_Xm2 = FR_w,f1,f1
+      add           GR_ad_Co7 = GR_ad_Co7,GR_Offs7
+}
+{ .mfi
+      ldfe          FR_C20 = [GR_ad_Ce],32
+(p14) fma.s1        FR_r2 = FR_r,FR_r,f0 // log(x)
+      add           GR_ad_Ce7 = GR_ad_Ce7,GR_Offs7
+};;
+{ .mfi
+      ldfe          FR_C30 = [GR_ad_Co],32
+(p14) fms.s1        FR_Xf = FR_NormX,f1,FR_N  // xf = x - [x]
+(p14) mov           GR_Arg17 = 0xC031 // -17
+}
+{ .mfi
+      ldfe          FR_C40 = [GR_ad_Ce],32
+(p14) fma.s1        FR_Xp5 = FR_5,f1,FR_NormX
+(p14) sub           GR_Exp = GR_Exp,GR_ExpBias
+};;
+{ .mfi
+      ldfe          FR_C50 = [GR_ad_Co7],32
+(p14) fms.s1        FR_Xfr = FR_Xp1,f1,FR_Ntrunc // xfr = (x+1) - [x]
+(p14) cmp.lt.unc    p13,p0 = GR_Arg,GR_Arg17
+}
+{ .mfb
+      ldfe          FR_C60 = [GR_ad_Ce7],32
+(p14) fma.s1        FR_Xp10 = FR_5,FR_2,FR_NormX
+      // jump if the input argument is negative and great than -17.0
+(p13) br.cond.spnt  lgamma_negrecursion
+};;
+{ .mfi
+      ldfe          FR_C70 = [GR_ad_Co7],32
+      fma.s1        FR_C01 = FR_x,f1,FR_C01
+(p14) add           GR_ad_Ce = 0x1310,GR_ad_2
+}
+{ .mfi
+      ldfe          FR_C80 = [GR_ad_Ce7],32
+      fma.s1        FR_C11 = FR_x,f1,FR_C11
+(p14) add           GR_ad_Co = 0x12C0,GR_ad_2
+};;
+{ .mfi
+      ldfe          FR_C90 = [GR_ad_Co7],32
+      fma.s1        FR_C21 = FR_x,f1,FR_C21
+      nop.i         0
+}
+{ .mfi
+      ldfe          FR_CA0 = [GR_ad_Ce7],32
+      fma.s1        FR_C31 = FR_x,f1,FR_C31
+      nop.i         0
+};;
+{ .mfi
+      ldfe          FR_CN = [GR_ad_Co7],32
+      fma.s1        FR_C41 = FR_x,f1,FR_C41
+      nop.i         0
+}
+{ .mfi
+(p14) ldfpd         FR_P5,FR_P4 = [GR_ad_1],16
+      fma.s1        FR_C51 = FR_x,f1,FR_C51
+      nop.i         0
+};;
+{ .mfi
+(p14) ldfpd         FR_P3,FR_P2 = [GR_ad_2],16
+      fma.s1        FR_C61 = FR_x,f1,FR_C61
+      nop.i         0
+}
+{ .mfi
+(p14) ldfe          FR_Ln2 = [GR_ad_1]
+      fma.s1        FR_C71 = FR_x,f1,FR_C71
+      nop.i         0
+};;
+{ .mfi
+(p14) ldfpd         FR_S28,FR_S26 = [GR_ad_Co],16
+      fma.s1        FR_C81 = FR_x,f1,FR_C81
+      add           GR_ad_2 = 0x60,GR_ad_2
+}
+{ .mfi
+(p14) ldfpd         FR_S24,FR_S22 = [GR_ad_Ce],16
+      fma.s1        FR_C91 = FR_x,f1,FR_C91
+      nop.i         0
+};;
+{ .mfi
+(p14) ldfpd         FR_S20,FR_S18 = [GR_ad_Co],16
+      fma.s1        FR_CA1 = FR_x,f1,FR_CA1
+      nop.i         0
+}
+{ .mfi
+(p14) ldfpd         FR_S16,FR_S14 = [GR_ad_Ce],16
+      fma.s1        FR_C01 = FR_C01,FR_x,FR_C00
+      nop.i         0
+};;
+{ .mfi
+(p14) getf.exp      GR_SignExp = FR_Xf
+      fma.s1        FR_C11 = FR_C11,FR_x,FR_C10
+      nop.i         0
+}
+{ .mfi
+(p14) ldfe          FR_S12 = [GR_ad_Co],16
+      fma.s1        FR_C21 = FR_C21,FR_x,FR_C20
+      nop.i         0
+};;
+{ .mfi
+(p14) getf.sig      GR_Sig = FR_Xf
+(p14) frcpa.s1      FR_InvXf,p0 = f1,FR_Xf
+      nop.i         0
+}
+{ .mfi
+(p14) ldfe          FR_S10 = [GR_ad_Ce],16
+      fma.s1        FR_C41 = FR_C41,FR_x,FR_C40
+      nop.i         0
+};;
+{ .mfi
+(p14) ldfe          FR_S8 = [GR_ad_Co],16
+      fma.s1        FR_C51 = FR_C51,FR_x,FR_C50
+      nop.i         0
+}
+{ .mfi
+(p14) ldfe          FR_S6 = [GR_ad_Ce],16
+      fma.s1        FR_C61 = FR_C61,FR_x,FR_C60
+(p14) and           GR_Expf = GR_SignExp,GR_ExpMask
+};;
+{ .mfi
+(p14) sub           GR_Expf = GR_Expf,GR_ExpBias
+      fma.s1        FR_C71 = FR_C71,FR_x,FR_C70
+(p14) shl           GR_Ind = GR_Sig,1
+}
+{ .mfi
+(p14) ldfe          FR_S4 = [GR_ad_Co],16
+      fma.s1        FR_C81 = FR_C81,FR_x,FR_C80
+(p14) cmp.eq.unc    p8,p0 = 0,GR_Sig
+};;
+{ .mfi
+(p14) setf.sig      FR_int_Nf = GR_Expf
+      fma.s1        FR_C91 = FR_C91,FR_x,FR_C90
+(p14) shr.u         GR_Ind = GR_Ind,56
+}
+{ .mfb
+(p14) ldfe          FR_S2 = [GR_ad_Ce],16
+      fma.s1        FR_CA1 = FR_CA1,FR_x,FR_CA0
+      // jump if the input argument is integer number from range (-512.0;-17.0]
+(p8)  br.cond.spnt  lgamma_singularity
+};;
+{ .mfi
+(p14) getf.sig      GR_Sig = FR_int_Ntrunc
+      fma.s1        FR_C01 = FR_C01,FR_C11,f0
+      nop.i         0
+}
+{ .mfi
+(p14) shladd        GR_ad_T = GR_Ind,4,GR_ad_2
+      fma.s1        FR_C31 = FR_C31,FR_x,FR_C30
+      nop.i         0
+};;
+{ .mfi
+(p14) ldfe          FR_Tf = [GR_ad_T]
+(p14) fms.s1        FR_rf = FR_InvXf,FR_Xf,f1 // reduced arg for log({x})
+(p14) extr.u        GR_Ind = GR_ArgAsIs,44,8
+}
+{ .mfi
+      // set p9  if signgum is 32-bit int
+      // set p10 if signgum is 64-bit int
+      cmp.eq        p10,p9 = 8,r34
+      fma.s1        FR_C21 = FR_C21,FR_C41,f0
+      mov           GR_SignOfGamma = 1
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_C51 = FR_C51,FR_C61,f0
+(p14) tbit.z.unc    p8,p0 = GR_Sig,0
+}
+{ .mfi
+(p14) shladd        GR_ad_T = GR_Ind,4,GR_ad_2
+(p6)  fma.s1        FR_CN = FR_CN,FR_Xm2,f0
+      nop.i         0
+};;
+{ .mfi
+(p14) setf.sig      FR_int_N = GR_Exp
+      fma.s1        FR_C71 = FR_C71,FR_C81,f0
+(p8)  sub           GR_SignOfGamma = r0,GR_SignOfGamma
+}
+{ .mfi
+      nop.m         0
+(p14) fma.s1        FR_Xf2 = FR_Xf,FR_Xf,f0
+      nop.i         0
+};;
+{ .mfi
+(p14) ldfe          FR_T = [GR_ad_T]
+      fma.s1        FR_C91 = FR_C91,FR_CA1,f0
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+(p14) fma.s1        FR_r2 = FR_r,FR_r,f0
+      nop.i         0
+};;
+.pred.rel "mutex",p9,p10
+{ .mfi
+      // store sign of gamma(x) as 32-bit int
+(p9)  st4           [r33] = GR_SignOfGamma
+      fma.s1        FR_C01 = FR_C01,FR_C31,f0
+      nop.i         0
+}
+{ .mfi
+      // store sign of gamma(x) as 64-bit int
+(p10) st8           [r33] = GR_SignOfGamma
+(p14) fma.s1        FR_P54 = FR_P5,FR_r,FR_P4
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+(p14) fma.s1        FR_P32 = FR_P3,FR_r,FR_P2
+      nop.i         0
+}
+{ .mfb
+      nop.m         0
+(p14) fma.s1        FR_P54f = FR_P5,FR_rf,FR_P4
+      // jump if the input argument is non-integer from range (-512.0;-17.0]
+(p14) br.cond.spnt  lgamma_negpoly
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_C21 = FR_C21,FR_C51,f0
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_C71 = FR_C71,FR_C91,f0
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_CN  = FR_C01,FR_CN,f0
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_C21 = FR_C21,FR_C71,f0
+      nop.i         0
+};;
+{ .mfb
+      nop.m         0
+      fma.d.s0      f8 = FR_C21,FR_CN,f0
+      br.ret.sptk   b0 // exit for arguments from range [2.25; 512.0)
+};;
+// branch for calculating of ln(GAMMA(x)) for -512 < x < -17
+//---------------------------------------------------------------------
+.align 32
+lgamma_negpoly:
+{ .mfi
+      nop.m         0
+      fma.s1        FR_Xf4 = FR_Xf2,FR_Xf2,f0
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_S28 = FR_S28,FR_Xf2,FR_S26
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_S24 = FR_S24,FR_Xf2,FR_S22
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_S20 = FR_S20,FR_Xf2,FR_S18
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_S16 = FR_S16,FR_Xf2,FR_S14
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_S12 = FR_S12,FR_Xf2,FR_S10
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_S8 = FR_S8,FR_Xf2,FR_S6
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_S4 = FR_S4,FR_Xf2,FR_S2
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_rf2 = FR_rf,FR_rf,f0
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_P32f = FR_P3,FR_rf,FR_P2 // log(x)
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_r3 = FR_r2,FR_r,f0 // log(x)
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fcvt.xf       FR_Nf = FR_int_Nf // log({x})
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_S28 = FR_S28,FR_Xf4,FR_S24
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_Xf8 = FR_Xf4,FR_Xf4,f0
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_S20 = FR_S20,FR_Xf4,FR_S16
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_C21 = FR_C21,FR_C51,f0
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_S12 = FR_S12,FR_Xf4,FR_S8
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_C71 = FR_C71,FR_C91,f0
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fnma.s1       FR_P10 = FR_r2,FR_05,FR_r // log(x)
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_P54 = FR_P54,FR_r2,FR_P32 // log(x)
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fnma.s1       FR_P10f = FR_rf2,FR_05,FR_rf // log({x})
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fcvt.xf       FR_N = FR_int_N // log(x)
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_rf3 = FR_rf2,FR_rf,f0 // log({x})
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_P54f = FR_P54f,FR_rf2,FR_P32f // log({x})
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_S28 = FR_S28,FR_Xf8,FR_S20
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_TpNxLn2f = FR_Nf,FR_Ln2,FR_Tf // log({x})
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_CN  = FR_C01,FR_CN,f0
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_C21 = FR_C21,FR_C71,f0
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_P54 = FR_P54,FR_r3,FR_P10 // log(x)
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_TpNxLn2 = FR_N,FR_Ln2,FR_T // log(x)
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_P54f = FR_P54f,FR_rf3,FR_P10f // log({x})
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_S28 = FR_S28,FR_Xf8,FR_S12
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fnma.s1       FR_C21 = FR_C21,FR_CN,f0
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_LnX = FR_TpNxLn2,f1,FR_P54 // log(x)
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_LnXf = FR_TpNxLn2f,f1,FR_P54f // log({x})
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_S28 = FR_S28,FR_Xf4,FR_S4
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_LnX = FR_LnX,f1,FR_LnXf
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fnma.s1       FR_S28 = FR_S28,FR_Xf2,FR_C21
+      nop.i         0
+};;
+{ .mfb
+      nop.m         0
+      fms.d.s0      f8 = FR_S28,f1,FR_LnX
+      br.ret.sptk   b0
+};;
+// branch for calculating of ln(GAMMA(x)) for x >= 512
+//---------------------------------------------------------------------
+.align 32
+lgamma_pstirling:
+{ .mfi
+      ldfpd         FR_P5,FR_P4 = [GR_ad_1],16
+      nop.f         0
+      and           GR_Exp = GR_SignExp,GR_ExpMask
+}
+{ .mfi
+      ldfpd         FR_P3,FR_P2 = [GR_ad_2],16
+      fma.s1        FR_InvX = FR_C,FR_InvX,FR_C // NR iteration #1
+      mov           GR_ExpBias = 0xffff
+};;
+{ .mfi
+      ldfe          FR_Ln2 = [GR_ad_1],16
+      nop.f         0
+      sub           GR_Exp = GR_Exp,GR_ExpBias
+};;
+{ .mfi
+      ldfpd         FR_W4,FR_OvfBound = [GR_ad_2],16
+      nop.f         0
+      nop.i         0
+};;
+{ .mfi
+      setf.sig      FR_int_N = GR_Exp
+      fms.s1        FR_r = FR_C,f8,f1
+      nop.i         0
+};;
+{ .mmf
+      getf.sig      GR_Sig = FR_NormX
+      ldfe          FR_LnSqrt2Pi = [GR_ad_1],16
+      nop.f         0
+};;
+{ .mmf
+      ldfe          FR_W2 = [GR_ad_2],16
+      nop.m         0
+      fnma.s1       FR_InvX2 = FR_InvX,FR_NormX,f1 // NR iteration #2
+};;
+{ .mfi
+      add           GR_ad_2 = 0x40,GR_ad_2
+      nop.f         0
+      shl           GR_Ind = GR_Sig,1
+};;
+{ .mfi
+      mov           GR_SignOfGamma = 1
+      nop.f         0
+      shr.u         GR_Ind = GR_Ind,56
+};;
+{ .mfi
+      shladd        GR_ad_2 = GR_Ind,4,GR_ad_2
+      fma.s1        FR_r2 = FR_r,FR_r,f0
+      // set p9  if signgum is 32-bit int
+      // set p10 if signgum is 64-bit int
+      cmp.eq        p10,p9 = 8,r34
+};;
+{ .mfi
+      ldfe          FR_T = [GR_ad_2]
+      fma.s1        FR_P54 = FR_P5,FR_r,FR_P4
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_P32 = FR_P3,FR_r,FR_P2
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fcmp.le.s1    p6,p0 = FR_OvfBound,FR_NormX
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_InvX2 = FR_InvX,FR_InvX2,FR_InvX // NR iteration #2
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fcvt.xf       FR_N = FR_int_N
+      nop.i         0
+}
+{ .mfb
+      nop.m         0
+      nop.f         0
+      // jump if x is great than OVERFLOW_BOUNDARY
+(p6)  br.cond.spnt  lgamma_overflow
+};;
+.pred.rel "mutex",p9,p10
+{ .mfi
+      // store sign of gamma(x) as 32-bit int
+(p9)  st4           [r33] = GR_SignOfGamma
+      fma.s1        FR_r3 = FR_r2,FR_r,f0
+      nop.i         0
+}
+{ .mfi
+      // store sign of gamma(x) as 64-bit int
+(p10) st8           [r33] = GR_SignOfGamma
+      fnma.s1       FR_P10 = FR_r2,FR_05,FR_r
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_P54 = FR_P54,FR_r2,FR_P32
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fnma.s1       FR_InvX = FR_InvX2,FR_NormX,f1 // NR iteration #3
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fms.s1        FR_Xm05 = FR_NormX,f1,FR_05 // (x-1/2)
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_TpNxLn2 = FR_N,FR_Ln2,FR_T
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_P54 = FR_P54,FR_r3,FR_P10
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_InvX = FR_InvX2,FR_InvX,FR_InvX2 // NR iteration #3
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fms.s1        FR_LnSqrt2Pi = FR_LnSqrt2Pi,f1,FR_NormX // ln(sqrt(2*Pi))-x
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_LnX = FR_TpNxLn2,f1,FR_P54
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_InvX2 = FR_InvX,FR_InvX,f0
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      // (x-1/2)*ln(x)+ln(sqrt(2*Pi))-x
+      fma.s1        FR_LnX = FR_LnX,FR_Xm05,FR_LnSqrt2Pi
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_W2 = FR_W4,FR_InvX2,FR_W2 // W2 + W4/x^2
+      nop.i         0
+};;
+{ .mfb
+      nop.m         0
+      fma.d.s0      f8 = FR_InvX,FR_W2,FR_LnX
+      br.ret.sptk   b0
+};;
+// branch for calculating of ln(GAMMA(x)) for x < -512
+//---------------------------------------------------------------------
+.align 32
+lgamma_negstirling:
+{ .mfi
+      ldfpd         FR_P5,FR_P4 = [GR_ad_1],16
+      fms.s1        FR_Xf = FR_NormX,f1,FR_N  // xf = x - [x]
+      and           GR_Exp = GR_SignExp,GR_ExpMask
+}
+{ .mfi
+      ldfpd         FR_P3,FR_P2 = [GR_ad_2],16
+      fma.s1        FR_InvX = FR_C,FR_InvX,FR_C // NR iteration #1
+      mov           GR_0x30033 = 0x30033
+};;
+{ .mfi
+      ldfe          FR_Ln2 = [GR_ad_1],16
+      nop.f         0
+      extr.u        GR_Ind = GR_ArgAsIs,44,8
+}
+{ .mib
+      ldfd          FR_W4 = [GR_ad_2],16
+      // jump if x is less or equal to -2^52, i.e. x is big negative integer
+      cmp.leu.unc   p7,p0 = GR_0x30033,GR_SignExp
+(p7)  br.cond.spnt  lgamma_singularity
+};;
+{ .mfi
+      ldfpd         FR_S28,FR_S26 = [GR_ad_Co7],16
+      nop.f         0
+      add           GR_ad_LnT = 0x50,GR_ad_2
+}
+{ .mfi
+      ldfpd         FR_S24,FR_S22 = [GR_ad_Ce7],16
+      nop.f         0
+      mov           GR_ExpBias = 0xffff
+};;
+{ .mfi
+      ldfpd         FR_S20,FR_S18 = [GR_ad_Co7],16
+      nop.f         0
+      shladd        GR_ad_T = GR_Ind,4,GR_ad_LnT
+}
+{ .mfi
+      ldfpd         FR_S16,FR_S14 = [GR_ad_Ce7],16
+      nop.f         0
+      sub           GR_Exp = GR_Exp,GR_ExpBias
+};;
+{ .mfi
+      ldfe          FR_S12 = [GR_ad_Co7],16
+      nop.f         0
+      nop.i         0
+}
+{ .mfi
+      ldfe          FR_S10 = [GR_ad_Ce7],16
+      fms.s1        FR_r = FR_C,f8,f1
+      nop.i         0
+};;
+{ .mmf
+      ldfe          FR_S8 = [GR_ad_Co7],16
+      ldfe          FR_S6 = [GR_ad_Ce7],16
+      nop.f         0
+};;
+{ .mfi
+      ldfe          FR_S4 = [GR_ad_Co7],16
+      fma.s1        FR_Xf2 = FR_Xf,FR_Xf,f0
+      nop.i         0
+}
+{ .mfi
+      ldfe          FR_S2 = [GR_ad_Ce7],16
+      fnma.s1       FR_InvX2 = FR_InvX,FR_NormX,f1 // NR iteration #2
+      nop.i         0
+};;
+{ .mfi
+      setf.sig      FR_int_N = GR_Exp
+      frcpa.s1      FR_InvXf,p9 = f1,FR_Xf // 1/xf
+      nop.i         0
+}
+{ .mfi
+      ldfe          FR_LnSqrt2Pi = [GR_ad_1],16
+      nop.f         0
+      nop.i         0
+};;
+{ .mfi
+      getf.exp      GR_SignExp = FR_Xf
+      nop.f         0
+      nop.i         0
+}
+{ .mfi
+      ldfe          FR_W2 = [GR_ad_2],16
+      nop.f         0
+      nop.i         0
+};;
+{ .mfi
+      getf.sig      GR_Sig = FR_Xf
+      fma.s1        FR_P54 = FR_P5,FR_r,FR_P4
+      nop.i         0
+}
+{ .mfi
+      ldfe          FR_T = [GR_ad_T]
+      fma.s1        FR_P32 = FR_P3,FR_r,FR_P2
+      nop.i         0
+};;
+{ .mfi
+      and           GR_Exp = GR_SignExp,GR_ExpMask
+      fma.s1        FR_r2 = FR_r,FR_r,f0
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fms.s1        FR_Xm05 = FR_NormX,f1,FR_05 // (x-1/2)
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_InvX2 = FR_InvX,FR_InvX2,FR_InvX // NR iteration #2
+      extr.u        GR_Ind = GR_Sig,55,8
+}
+{ .mfi
+      sub           GR_Exp = GR_Exp,GR_ExpBias
+      fma.s1        FR_Xf4 = FR_Xf2,FR_Xf2,f0
+      cmp.eq        p6,p0 = 0,GR_Sig
+};;
+{ .mfi
+      setf.sig      FR_int_Nf = GR_Exp
+      fma.s1        FR_S28 = FR_S28,FR_Xf2,FR_S26
+      shladd        GR_ad_T = GR_Ind,4,GR_ad_LnT
+}
+{ .mfb
+      nop.m         0
+      fma.s1        FR_S24 = FR_S24,FR_Xf2,FR_S22
+      // jump if the input argument is integer number from range (-512.0;-17.0]
+(p6)  br.cond.spnt  lgamma_singularity
+};;
+{ .mfi
+      getf.sig      GR_Sig = FR_int_Ntrunc
+      fma.s1        FR_S20 = FR_S20,FR_Xf2,FR_S18
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_S16 = FR_S16,FR_Xf2,FR_S14
+      nop.i         0
+};;
+{ .mfi
+      ldfe          FR_Tf = [GR_ad_T]
+      fma.s1        FR_S12 = FR_S12,FR_Xf2,FR_S10
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_S8 = FR_S8,FR_Xf2,FR_S6
+      mov           GR_SignOfGamma = 1
+};;
+{ .mfi
+      nop.m         0
+      fms.s1        FR_rf = FR_InvXf,FR_Xf,f1 // reduced arg rf
+      tbit.z        p8,p0 = GR_Sig,0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_r3 = FR_r2,FR_r,f0
+      // set p9  if signgum is 32-bit int
+      // set p10 if signgum is 64-bit int
+      cmp.eq        p10,p9 = 8,r34
+};;
+{ .mfi
+      nop.m         0
+      fcvt.xf       FR_N = FR_int_N
+(p8)  sub           GR_SignOfGamma = r0,GR_SignOfGamma
+}
+{ .mfi
+      nop.m         0
+      fnma.s1       FR_InvX = FR_InvX2,FR_NormX,f1 // NR iteration #3
+      nop.i         0
+};;
+.pred.rel "mutex",p9,p10
+{ .mfi
+      // store sign of gamma(x) as 32-bit int
+(p9)  st4           [r33] = GR_SignOfGamma
+      fma.s1        FR_P54 = FR_P54,FR_r2,FR_P32
+      nop.i         0
+}
+{ .mfi
+      // store sign of gamma(x) as 64-bit int
+(p10) st8           [r33] = GR_SignOfGamma
+      fnma.s1       FR_P10 = FR_r2,FR_05,FR_r
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_Xf8 = FR_Xf4,FR_Xf4,f0
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_S28 = FR_S28,FR_Xf4,FR_S24
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_S20 = FR_S20,FR_Xf4,FR_S16
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_S12 = FR_S12,FR_Xf4,FR_S8
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_rf2 = FR_rf,FR_rf,f0
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_P54f = FR_P5,FR_rf,FR_P4
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_P32f = FR_P3,FR_rf,FR_P2
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_InvX = FR_InvX2,FR_InvX,FR_InvX2 // NR iteration #3
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fcvt.xf       FR_Nf = FR_int_Nf
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_LnSqrt2Pi = FR_NormX,f1,FR_LnSqrt2Pi // x+ln(sqrt(2*Pi))
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_P54 = FR_P54,FR_r3,FR_P10
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_S28 = FR_S28,FR_Xf8,FR_S20
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_rf3 = FR_rf2,FR_rf,f0
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fnma.s1       FR_P10f = FR_rf2,FR_05,FR_rf
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_TpNxLn2 = FR_N,FR_Ln2,FR_T
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_P54f = FR_P54f,FR_rf2,FR_P32f
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_InvX2 = FR_InvX,FR_InvX,f0
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_S28 = FR_S28,FR_Xf8,FR_S12
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_S4 = FR_S4,FR_Xf2,FR_S2
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_P54f = FR_P54f,FR_rf3,FR_P10f
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_TpNxLn2f = FR_Nf,FR_Ln2,FR_Tf
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_LnX = FR_TpNxLn2,f1,FR_P54
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_W2 = FR_W4,FR_InvX2,FR_W2
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_S28 = FR_S28,FR_Xf4,FR_S4
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_LnXf = FR_TpNxLn2f,f1,FR_P54f
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fms.s1        FR_LnX = FR_LnX,FR_Xm05,FR_LnSqrt2Pi
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_LnX = FR_InvX,FR_W2,FR_LnX
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fnma.s1       FR_LnX = FR_S28,FR_Xf2,FR_LnX
+      nop.i         0
+};;
+{ .mfb
+      nop.m         0
+      fms.d.s0      f8 = FR_LnX,f1,FR_LnXf
+      br.ret.sptk   b0
+};;
+// branch for calculating of ln(GAMMA(x)) for 0 <= x < 1
+//---------------------------------------------------------------------
+.align 32
+lgamma_0_1:
+{ .mfi
+      ldfpd         FR_P5,FR_P4 = [GR_ad_1],16
+      fms.s1        FR_x = FR_NormX,f1,f0 // x
+      mov           GR_Arg025 = 0x3FD0
+}
+{ .mfi
+      ldfpd         FR_P3,FR_P2 = [GR_ad_2],16
+      nop.f         0
+      add           GR_ad_Co = 0x1C40,GR_ad_Data
+};;
+{ .mfi
+      ldfe          FR_Ln2 = [GR_ad_1],0x50
+      nop.f         0
+      // p6 if arg < 0.25
+      cmp.lt        p6,p9 = GR_Arg,GR_Arg025
+}
+{ .mfi
+      add           GR_ad_2 = 0x40,GR_ad_2
+      nop.f         0
+      mov           GR_Arg075 = 0x3FE8
+};;
+{ .mfi
+      ldfpd         FR_Q8,FR_Q7 = [GR_ad_1],16
+      fma.s1        FR_w2 = FR_w,FR_w,f0
+      // p7 if 0.25 <= arg < 0.75
+      // p8 if 0.75 <= arg < 1.0
+(p9)  cmp.lt.unc    p7,p8 = GR_Arg,GR_Arg075
+}
+{ .mfi
+      mov           GR_Arg0875 = 0x3FEC
+      nop.f         0
+      sub           GR_Exp = GR_Exp,GR_ExpBias
+};;
+{ .mfi
+      ldfpd         FR_Q6,FR_Q5 = [GR_ad_2],16
+      nop.f         0
+(p8)  cmp.lt        p9,p0 = GR_Arg,GR_Arg0875
+}
+{ .mfi
+      ldfpd         FR_Q4,FR_Q3 = [GR_ad_1],16
+      nop.f         0
+      add           GR_ad_Ce = 0x60,GR_ad_Co
+};;
+.pred.rel "mutex",p7,p8
+{ .mfi
+      ldfd          FR_Q2 = [GR_ad_2],16
+      fms.s1        FR_r = FR_C,f8,f1
+(p7)  mov           GR_Offs = 0xC0
+}
+{ .mfi
+      setf.sig      FR_int_N = GR_Exp
+      nop.f         0
+(p8)  mov           GR_Offs = 0x180
+};;
+.pred.rel "mutex",p6,p7
+{ .mfi
+(p9)  add           GR_ad_Co = GR_Offs,GR_ad_Co
+(p8)  fms.s1        FR_x = FR_NormX,f1,f1 // x-1
+      nop.i         0
+}
+{ .mfi
+(p9)  add           GR_ad_Ce = GR_Offs,GR_ad_Ce
+(p7)  fms.s1        FR_x = FR_NormX,f1,FR_LocalMin // x-LocalMin
+      cmp.lt        p10,p0 = GR_Arg,GR_Arg0875
+};;
+lgamma_common_0_2:
+{ .mfi
+      ldfpd         FR_A17,FR_A16 = [GR_ad_Co],16
+      nop.f         0
+      nop.i         0
+}
+{ .mfi
+      ldfpd         FR_A15,FR_A14 = [GR_ad_Ce],16
+      nop.f         0
+      nop.i         0
+};;
+{ .mfi
+      ldfpd         FR_A13,FR_A12 = [GR_ad_Co],16
+      nop.f         0
+(p10) extr.u        GR_Ind = GR_ArgAsIs,44,8
+}
+{ .mfi
+      ldfpd         FR_A11,FR_A10 = [GR_ad_Ce],16
+      nop.f         0
+      nop.i         0
+};;
+{ .mfi
+      ldfpd         FR_A9,FR_A8 = [GR_ad_Co],16
+(p10) fnma.s1       FR_Q1 = FR_05,FR_w2,FR_w
+      nop.i         0
+}
+{ .mfi
+      ldfpd         FR_A7,FR_A6 = [GR_ad_Ce],16
+(p10) fma.s1        FR_w3 = FR_w2,FR_w,f0
+      nop.i         0
+};;
+{ .mfi
+(p10) getf.exp      GR_SignExp_w = FR_w
+(p10) fma.s1        FR_w4 = FR_w2,FR_w2,f0
+      nop.i         0
+}
+{ .mfi
+(p10) shladd        GR_ad_2 = GR_Ind,4,GR_ad_2
+(p10) fma.s1        FR_r2 = FR_r,FR_r,f0
+      nop.i         0
+};;
+{ .mfi
+(p10) ldfe          FR_T = [GR_ad_2]
+(p10) fma.s1        FR_P54 = FR_P5,FR_r,FR_P4
+      nop.i         0
+}
+{ .mfi
+      ldfe          FR_A5 = [GR_ad_Co],16
+(p10) fma.s1        FR_P32 = FR_P3,FR_r,FR_P2
+      nop.i         0
+};;
+{ .mfi
+      ldfe          FR_A4 = [GR_ad_Ce],16
+      fma.s1        FR_x2 = FR_x,FR_x,f0
+(p10) and           GR_Exp_w = GR_ExpMask, GR_SignExp_w
+}
+{ .mfi
+      ldfe          FR_A3 = [GR_ad_Co],16
+      nop.f         0
+(p10) mov           GR_fff9 = 0xfff9
+};;
+//    p13 <== large w __libm_lgamma
+//    p14 <== small w __libm_lgamma
+{ .mfi
+      ldfe          FR_A2 = [GR_ad_Ce],16
+(p10) fma.s1        FR_Q8 = FR_Q8,FR_w,FR_Q7
+(p10) cmp.ge.unc    p13,p14 = GR_Exp_w,GR_fff9
+}
+{ .mfi
+      ldfe          FR_A1 = [GR_ad_Co],16
+(p10) fma.s1        FR_Q6 = FR_Q6,FR_w,FR_Q5
+      nop.i         0
+};;
+{ .mfi
+      ldfe          FR_A0 = [GR_ad_Ce],16
+(p10) fma.s1        FR_Q4 = FR_Q4,FR_w,FR_Q3
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+(p10) fma.s1        FR_Q2 = FR_Q2,FR_w3,FR_Q1
+      nop.i         0
+};;
+{ .mfi
+      // set p11 if signgum is 32-bit int
+      // set p12 if signgum is 64-bit int
+      cmp.eq        p12,p11 = 8,r34
+(p10) fma.s1        FR_r3 = FR_r2,FR_r,f0
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+(p10) fnma.s1       FR_P10 = FR_r2,FR_05,FR_r
+      mov           GR_SignOfGamma = 1
+};;
+.pred.rel "mutex",p11,p12
+{ .mfi
+      // store sign of gamma(x) as 32-bit int
+(p11) st4           [r33] = GR_SignOfGamma
+      fma.s1        FR_A17 = FR_A17,FR_x,FR_A16
+      nop.i         0
+}
+{ .mfi
+      // store sign of gamma(x) as 64-bit int
+(p12) st8           [r33] = GR_SignOfGamma
+      fma.s1        FR_A15 = FR_A15,FR_x,FR_A14
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+(p10) fcvt.xf       FR_N = FR_int_N
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+(p10) fma.s1        FR_P54 = FR_P54,FR_r2,FR_P32
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_A13 = FR_A13,FR_x,FR_A12
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_A11 = FR_A11,FR_x,FR_A10
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_A9 = FR_A9,FR_x,FR_A8
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_A7 = FR_A7,FR_x,FR_A6
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+(p10) fma.s1        FR_Qlo = FR_Q8,FR_w2,FR_Q6
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+(p10) fma.s1        FR_w6 = FR_w3,FR_w3,f0
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+(p10) fma.s1        FR_Qhi = FR_Q4,FR_w4,FR_Q2
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_A5 = FR_A5,FR_x,FR_A4
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+(p10) fma.s1        FR_TpNxLn2 = FR_N,FR_Ln2,FR_T
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_A3 = FR_A3,FR_x,FR_A2
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+(p10) fma.s1        FR_P54 = FR_P54,FR_r3,FR_P10
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_A1 = FR_A1,FR_x,FR_A0
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_A17 = FR_A17,FR_x2,FR_A15
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_A13 = FR_A13,FR_x2,FR_A11
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_A9 = FR_A9,FR_x2,FR_A7
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_x4 = FR_x2,FR_x2,f0
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+(p14) fma.s1        FR_LnX = FR_Qlo,FR_w6,FR_Qhi
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_A5 = FR_A5,FR_x2,FR_A3
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+(p13) fma.s1        FR_LnX = FR_TpNxLn2,f1,FR_P54
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_A17 = FR_A17,FR_x4,FR_A13
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_x8 = FR_x4,FR_x4,f0
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_A9 = FR_A9,FR_x4,FR_A5
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_A17 = FR_A17,FR_x8,FR_A9
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+(p10) fms.s1        FR_A1 = FR_A1,f1,FR_LnX
+      nop.i         0
+};;
+{ .mfb
+      nop.m         0
+      fma.d.s0      f8 = FR_A17,FR_x2,FR_A1
+      br.ret.sptk   b0
+};;
+// branch for calculating of ln(GAMMA(x)) for 1.0 <= x < 2.25
+//---------------------------------------------------------------------
+.align 32
+lgamma_1_2:
+{ .mfi
+      add           GR_ad_Co = 0x10B0,GR_ad_1
+      fcmp.eq.s1    p12,p0 = f1,FR_w
+      mov           GR_Arg125 = 0x3FF4
+}
+{ .mfi
+      add           GR_ad_Ce = 0x1110,GR_ad_1
+      nop.f         0
+      mov           GR_Arg175 = 0x3FFC
+};;
+{ .mfi
+      mov           GR_SignOfGamma = 1
+      fcmp.eq.s1    p13,p0 = f1,FR_NormX
+      cmp.lt        p6,p9 = GR_Arg,GR_Arg125 // 1.0 <= x < 1.25
+}
+{ .mfi
+      // set p10 if signgum is 32-bit int
+      // set p11 if signgum is 64-bit int
+      cmp.eq        p11,p10 = 8,r34
+      nop.f         0
+      cmp.ge        p8,p0 = GR_Arg,GR_Arg175 // x >= 1.75
+};;
+.pred.rel "mutex",p10,p11
+{ .mfi
+      // store sign of gamma(x) as 32-bit int
+(p10) st4           [r33] = GR_SignOfGamma
+(p12) fma.d.s0      f8 = f0,f0,f0
+(p9)  cmp.lt.unc    p7,p0 = GR_Arg,GR_Arg175 // 1.25 <= x < 1.75
+}
+{ .mib
+      // store sign of gamma(x) as 64-bit int
+(p11) st8           [r33] = GR_SignOfGamma
+      mov           GR_Offs = 0
+(p12) br.ret.spnt   b0 // fast exit for 2.0
+};;
+.pred.rel "mutex",p7,p8
+{ .mfi
+(p7)  mov           GR_Offs = 0xC0
+(p7)  fms.s1        FR_x = FR_w,f1,FR_LocalMin
+      nop.i         0
+}
+{ .mfb
+(p8)  mov           GR_Offs = 0x180
+(p13) fma.d.s0      f8 = f0,f0,f0
+(p13) br.ret.spnt   b0 // fast exit for 1.0
+};;
+.pred.rel "mutex",p6,p8
+{ .mfi
+      add           GR_ad_Co = GR_ad_Co,GR_Offs
+(p8)  fms.s1        FR_x = FR_w,f1,f1
+      cmp.eq        p0,p10 = r0,r0
+}
+{ .mfb
+      add           GR_ad_Ce = GR_ad_Ce,GR_Offs
+(p6)  fma.s1        FR_x = f0,f0,FR_w
+      br.cond.sptk  lgamma_common_0_2
+};;
+// branch for calculating of ln(GAMMA(x)) for -17 < x < 0
+//---------------------------------------------------------------------
+.align 32
+lgamma_negrecursion:
+{ .mfi
+      getf.d        GR_ArgXfrAsIs = FR_Xfr
+      fma.s1        FR_Xp2 = FR_2,f1,FR_NormX
+      mov           GR_Arg05 = 0x3FE
+}
+{ .mfi
+      add           GR_ad_Roots = 0x1390,GR_ad_1
+      fma.s1        FR_NormX = FR_NormX,FR_Xfr,f0
+      mov           GR_Arg075 = 0x3FE8
+};;
+{ .mfi
+      getf.sig      GR_Sig = FR_int_Ntrunc
+      fma.s1        FR_Xp3 = FR_2,f1,FR_Xp1
+      shl           GR_Arg05 = GR_Arg05,52
+}
+{ .mfi
+      mov           GR_Arg025 = 0x3FD0
+      fma.s1        FR_Xp6 = FR_5,f1,FR_Xp1
+      add           GR_ad_Co = 0x1C40,GR_ad_Data
+};;
+{ .mfi
+      add           GR_ad_Dx = 8,GR_ad_Roots
+      fma.s1        FR_Xp7 = FR_2,f1,FR_Xp5
+      shr.u         GR_ArgXfr = GR_ArgXfrAsIs,48
+}
+{ .mfi
+      add           GR_ad_Ce = 0x60,GR_ad_Co
+      fma.s1        FR_Xp8 = FR_3,f1,FR_Xp5
+      cmp.lt        p6,p0 = GR_ArgXfrAsIs,GR_Arg05
+};;
+{ .mfi
+      and           GR_RootInd = 0xF,GR_Sig
+      fma.s1        FR_Xp9 = FR_2,FR_2,FR_Xp5
+      // p10 if arg < 0.25
+      cmp.lt        p10,p14 = GR_ArgXfr,GR_Arg025
+}
+{ .mfi
+(p6)  add           GR_ad_Roots = 0x120,GR_ad_Roots
+      fma.s1        FR_Xp11 = f1,f1,FR_Xp10
+(p6)  add           GR_ad_Dx = 0x120,GR_ad_Dx
+};;
+{ .mfi
+      shladd        GR_ad_Root = GR_RootInd,4,GR_ad_Roots
+      fma.s1        FR_Xp12 = FR_2,f1,FR_Xp10
+      // p11 if 0.25 <= arg < 0.75
+      // p12 if 0.75 <= arg < 1.0
+(p14) cmp.lt.unc    p11,p12 = GR_ArgXfr,GR_Arg075
+}
+{ .mfi
+      shladd        GR_ad_Dx = GR_RootInd,4,GR_ad_Dx
+      fma.s1        FR_Xp13 = FR_3,f1,FR_Xp10
+      cmp.eq        p0,p13 = 0,GR_Sig
+};;
+{ .mfi
+      ld8           GR_Root = [GR_ad_Root]
+      fma.s1        FR_Xp14 = FR_2,FR_2,FR_Xp10
+(p12) mov           GR_Offs = 0x180
+}
+{ .mfi
+      ldfd          FR_Root = [GR_ad_Root]
+      fma.s1        FR_Xp15 = FR_5,f1,FR_Xp10
+      and           GR_Sig = 0xF,GR_Sig
+};;
+{ .mfi
+      ld8           GR_Dx = [GR_ad_Dx]
+      fma.s1        FR_Xp16 = FR_3,FR_2,FR_Xp10
+(p13) cmp.ge.unc    p6,p0 = 0xD,GR_Sig
+}
+{ .mfi
+(p11) mov           GR_Offs = 0xC0
+(p13) fma.s1        FR_NormX = FR_NormX,FR_Xp1,f0
+(p13) cmp.ge.unc    p7,p0 = 0xB,GR_Sig
+};;
+{ .mfi
+(p14) add           GR_ad_Co = GR_Offs,GR_ad_Co
+(p6)  fma.s1        FR_Xp2 = FR_Xp2,FR_Xp3,f0
+(p13) cmp.ge.unc    p8,p0 = 0x9,GR_Sig
+}
+{ .mfi
+(p14) add           GR_ad_Ce = GR_Offs,GR_ad_Ce
+(p7)  fma.s1        FR_Xp4 = FR_Xp4,FR_Xp5,f0
+(p13) cmp.ge.unc    p9,p0 = 0x7,GR_Sig
+};;
+{ .mfi
+      ldfpd         FR_B17,FR_B16 = [GR_ad_Co],16
+(p8)  fma.s1        FR_Xp6 = FR_Xp6,FR_Xp7,f0
+(p13) cmp.ge.unc    p6,p0 = 0x5,GR_Sig
+}
+{ .mfi
+      ldfpd         FR_B15,FR_B14 = [GR_ad_Ce],16
+(p9)  fma.s1        FR_Xp8 = FR_Xp8,FR_Xp9,f0
+(p13) cmp.ge.unc    p7,p0 = 0x3,GR_Sig
+};;
+{ .mfi
+      ldfpd         FR_B13,FR_B12 = [GR_ad_Co],16
+(p6)  fma.s1        FR_Xp10 = FR_Xp10,FR_Xp11,f0
+(p13) cmp.ge.unc    p8,p0 = 0x1,GR_Sig
+}
+{ .mfi
+      ldfpd         FR_B11,FR_B10 = [GR_ad_Ce],16
+(p7)  fma.s1        FR_Xp12 = FR_Xp12,FR_Xp13,f0
+(p13) cmp.eq.unc    p9,p0 = 0,GR_Sig
+};;
+{ .mfi
+      ldfpd         FR_B9,FR_B8 = [GR_ad_Co],16
+(p8)  fma.s1        FR_Xp14 = FR_Xp14,FR_Xp15,f0
+      mov           GR_Arg15 = 0xC02E // -15
+}
+{ .mfi
+      ldfpd         FR_B7,FR_B6 = [GR_ad_Ce],16
+      fcmp.eq.s1    p15,p0 = f0,FR_Xf
+(p13) cmp.ge.unc    p6,p0 = 0xC,GR_Sig
+};;
+{ .mfi
+      ldfe          FR_B5 = [GR_ad_Co],16
+(p9)  fma.s1        FR_NormX = FR_NormX,FR_Xp16,f0
+      sub           GR_Root = GR_ArgAsIs,GR_Root
+}
+{ .mfi
+      sub           GR_RootInd = 0xE,GR_RootInd
+(p11) fms.s1        FR_x = FR_Xfr,f1,FR_LocalMin // x-LocalMin
+(p13) cmp.ge.unc    p7,p0 = 0x8,GR_Sig
+};;
+.pred.rel "mutex",p10,p12
+{ .mfi
+      ldfe          FR_B4 = [GR_ad_Ce],16
+(p10) fms.s1        FR_x = FR_Xfr,f1,f0 // x
+      add           GR_Root = GR_Root,GR_Dx
+}
+{ .mfb
+      cmp.gtu       p14,p0 = 0xE,GR_RootInd
+(p12) fms.s1        FR_x = FR_Xfr,f1,f1 // x-1
+(p15) br.cond.spnt  lgamma_singularity
+};;
+{ .mfi
+      ldfe          FR_B3 = [GR_ad_Co],16
+(p6)  fma.s1        FR_Xp2 = FR_Xp2,FR_Xp4,f0
+(p14) cmp.lt.unc    p11,p0 = GR_Arg,GR_Arg15
+}
+{ .mfi
+      ldfe          FR_B2 = [GR_ad_Ce],16
+(p7)  fma.s1        FR_Xp6 = FR_Xp6,FR_Xp8,f0
+      add           GR_2xDx = GR_Dx,GR_Dx
+};;
+{ .mfi
+      ldfe          FR_B1 = [GR_ad_Co],16
+      fms.s1        FR_r = f8,f1,FR_Root
+(p13) cmp.ge.unc    p6,p0 = 0x4,GR_Sig
+}
+{ .mib
+      ldfe          FR_B0 = [GR_ad_Ce],16
+(p11) cmp.leu.unc   p10,p0 = GR_Root,GR_2xDx
+(p10) br.cond.spnt  lgamma_negroots
+};;
+{ .mfi
+      ldfpd         FR_P5,FR_P4 = [GR_ad_1],16
+(p6)  fma.s1        FR_Xp10 = FR_Xp10,FR_Xp12,f0
+      tbit.z        p14,p15 = GR_Sig,0
+}
+{ .mfi
+      ldfpd         FR_P3,FR_P2 = [GR_ad_2],16
+      fnma.d.s0     FR_T = f1,f1,f8 //      nop.f         0
+
+(p13) cmp.ge.unc    p7,p0 = 0x2,GR_Sig
+};;
+{ .mfi
+      ldfe          FR_Ln2 = [GR_ad_1],0x50
+(p7)  fma.s1        FR_NormX = FR_NormX,FR_Xp14,f0
+      mov           GR_PseudoRoot = 0xBFFBC
+}
+{ .mlx
+      add           GR_ad_2 = 0x40,GR_ad_2
+      movl          GR_2xDx = 0x00002346DC5D6389
+};;
+{ .mfi
+      ldfpd         FR_Q8,FR_Q7 = [GR_ad_1],16
+      fma.s1        FR_x2 = FR_x,FR_x,f0
+      shl           GR_PseudoRoot = GR_PseudoRoot,44
+}
+{ .mfi
+      ldfpd         FR_Q6,FR_Q5 = [GR_ad_2],16
+      fma.s1        FR_B17 = FR_B17,FR_x,FR_B16
+(p13) cmp.ge.unc    p6,p0 = 0xA,GR_Sig
+};;
+{ .mfi
+      ldfpd         FR_Q4,FR_Q3 = [GR_ad_1],16
+(p6)  fma.s1        FR_Xp2 = FR_Xp2,FR_Xp6,f0
+      sub           GR_PseudoRoot = GR_ArgAsIs,GR_PseudoRoot
+}
+{ .mfi
+      ldfpd         FR_Q2,FR_Q1 = [GR_ad_2],16
+      fma.s1        FR_B15 = FR_B15,FR_x,FR_B14
+(p13) cmp.ge.unc    p7,p0 = 0x6,GR_Sig
+};;
+{ .mfi
+      add           GR_ad_Co = 0x12F0,GR_ad_2
+      fma.s1        FR_B13 = FR_B13,FR_x,FR_B12
+      cmp.leu.unc   p10,p0 = GR_PseudoRoot,GR_2xDx
+}
+{ .mfi
+      add           GR_ad_Ce = 0x1300,GR_ad_2
+      fma.s1        FR_B11 = FR_B11,FR_x,FR_B10
+      mov           GR_ExpMask = 0x1ffff
+};;
+{ .mfi
+(p10) ldfe          FR_PR01 = [GR_ad_Co],0xF0
+      fma.s1        FR_B9 = FR_B9,FR_x,FR_B8
+      mov           GR_ExpBias = 0xFFFF
+}
+{ .mfb
+(p10) ldfe          FR_PR11 = [GR_ad_Ce],0xF0
+      fma.s1        FR_B7 = FR_B7,FR_x,FR_B6
+(p10) br.cond.spnt  lgamma_pseudoroot
+};;
+{ .mfi
+(p13) cmp.ge.unc    p6,p0 = 0xE,GR_Sig
+(p7)  fma.s1        FR_NormX = FR_NormX,FR_Xp10,f0
+      tbit.z.unc    p8,p0 = GR_Sig,0
+}
+{ .mfi
+      mov           GR_SignOfGamma = 1
+      fma.s1        FR_B5 = FR_B5,FR_x,FR_B4
+      // set p9  if signgum is 32-bit int
+      // set p10 if signgum is 64-bit int
+      cmp.eq        p10,p9 = 8,r34
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_B3 = FR_B3,FR_x,FR_B2
+(p8)  sub           GR_SignOfGamma = r0,GR_SignOfGamma
+}
+{ .mfi
+      nop.m         0
+(p14) fms.s1        FR_w = f0,f0,f1
+      nop.i         0
+};;
+.pred.rel "mutex",p9,p10
+{ .mfi
+      // store sign of gamma(x) as 32-bit int
+(p9)  st4           [r33] = GR_SignOfGamma
+      fma.s1        FR_B1 = FR_B1,FR_x,FR_B0
+      nop.i         0
+}
+{ .mfi
+      // store sign of gamma(x) as 64-bit int
+(p10) st8           [r33] = GR_SignOfGamma
+      fma.s1        FR_B17 = FR_B17,FR_x2,FR_B15
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_B13 = FR_B13,FR_x2,FR_B11
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_B9 = FR_B9,FR_x2,FR_B7
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_x4 = FR_x2,FR_x2,f0
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+(p6)  fma.s1        FR_NormX = FR_NormX,FR_Xp2,f0
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_B5 = FR_B5,FR_x2,FR_B3
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_B17 = FR_B17,FR_x4,FR_B13
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_x8 = FR_x4,FR_x4,f0
+      nop.i         0
+};;
+.pred.rel "mutex",p14,p15
+{ .mfi
+      nop.m         0
+(p15) fms.s1        FR_w = FR_NormX,f1,f1
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+(p14) fnma.s1       FR_w = FR_NormX,f1,FR_w
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_B9 = FR_B9,FR_x4,FR_B5
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      frcpa.s1      FR_C,p0 = f1,FR_NormX
+      nop.i         0
+};;
+{ .mfi
+      getf.exp      GR_Exp = FR_NormX
+      nop.f         0
+      nop.i         0
+};;
+{ .mfi
+      getf.d        GR_ArgAsIs = FR_NormX
+      nop.f         0
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_w2 = FR_w,FR_w,f0
+      nop.i         0
+}
+{ .mfi
+      and           GR_Exp = GR_Exp,GR_ExpMask
+      fma.s1        FR_Q8 = FR_Q8,FR_w,FR_Q7
+      nop.i         0
+};;
+{ .mfi
+      sub           GR_Exp = GR_Exp,GR_ExpBias
+      fma.s1        FR_B17 = FR_B17,FR_x8,FR_B9
+      extr.u        GR_Ind = GR_ArgAsIs,44,8
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_Q6 = FR_Q6,FR_w,FR_Q5
+      nop.i         0
+};;
+{ .mfi
+      setf.sig      FR_int_N = GR_Exp
+      fms.s1        FR_r = FR_C,FR_NormX,f1
+      nop.i         0
+}
+{ .mfi
+      shladd        GR_ad_2 = GR_Ind,4,GR_ad_2
+      nop.f         0
+      nop.i         0
+};;
+{ .mfi
+      getf.exp      GR_SignExp_w = FR_w
+      fma.s1        FR_Q4 = FR_Q4,FR_w,FR_Q3
+      nop.i         0
+}
+{ .mfi
+      ldfe          FR_T = [GR_ad_2]
+      nop.f         0
+      nop.i         0
+};;
+{ .mfi
+      and           GR_Exp_w = GR_ExpMask, GR_SignExp_w
+      fnma.s1       FR_Q1 = FR_05,FR_w2,FR_w
+      mov           GR_fff9 = 0xfff9
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_w3 = FR_w2,FR_w,f0
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_w4 = FR_w2,FR_w2,f0
+//    p13 <== large w __libm_lgamma
+//    p14 <== small w __libm_lgamma
+      cmp.ge        p13,p14 = GR_Exp_w,GR_fff9
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_Qlo = FR_Q8,FR_w2,FR_Q6
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+(p13) fma.s1        FR_r2 = FR_r,FR_r,f0
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_B17 = FR_B17,FR_x2,FR_B1
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+(p13) fma.s1        FR_P32 = FR_P3,FR_r,FR_P2
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+(p13) fma.s1        FR_P54 = FR_P5,FR_r,FR_P4
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+(p14) fma.s1        FR_Q2 = FR_Q2,FR_w3,FR_Q1
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+(p14) fma.s1        FR_w6 = FR_w3,FR_w3,f0
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+(p13) fcvt.xf       FR_N = FR_int_N
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+(p13) fma.s1        FR_r3 = FR_r2,FR_r,f0
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+(p13) fnma.s1       FR_P10 = FR_r2,FR_05,FR_r
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+(p13) fma.s1        FR_P54 = FR_P54,FR_r2,FR_P32
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+(p14) fma.s1        FR_Qhi = FR_Q4,FR_w4,FR_Q2
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+(p14) fnma.s1       FR_Qlo = FR_Qlo,FR_w6,FR_B17
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+(p13) fma.s1        FR_TpNxLn2 = FR_N,FR_Ln2,FR_T
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+(p13) fma.s1        FR_P54 = FR_P54,FR_r3,FR_P10
+      nop.i         0
+};;
+.pred.rel "mutex",p13,p14
+{ .mfi
+      nop.m         0
+(p14) fms.d.s0      f8 = FR_Qlo,f1,FR_Qhi
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+(p13) fma.s1        FR_LnX = FR_TpNxLn2,f1,FR_P54
+      nop.i         0
+};;
+{ .mfb
+      nop.m         0
+(p13) fms.d.s0      f8 = FR_B17,f1,FR_LnX
+      br.ret.sptk   b0
+};;
+// branch for calculating of ln(GAMMA(x)) near negative roots
+//---------------------------------------------------------------------
+.align 32
+lgamma_negroots:
+{ .mfi
+      shladd        GR_Offs = GR_RootInd,3,r0 //GR_RootInd*8
+      fma.s1        FR_r2 = FR_r,FR_r,f0
+      add           GR_ad_Co = 0x15C0,GR_ad_1//0x1590,GR_ad_1
+}
+{ .mfi
+      add           GR_ad_Ce = 0x1610,GR_ad_1//0x15E0,GR_ad_1
+      nop.f         0
+      cmp.lt        p6,p0 = GR_ArgXfrAsIs,GR_Arg05
+};;
+{ .mfi
+      add           GR_ad_Roots = 0x10A0,GR_ad_1
+      nop.f         0
+(p6)  add           GR_ad_Co = 0x820,GR_ad_Co
+}
+{ .mfi
+(p6)  add           GR_ad_Ce = 0x820,GR_ad_Ce
+      nop.f         0
+      shladd        GR_Offs = GR_RootInd,1,GR_Offs //GR_RootInd*10
+};;
+{ .mmi
+      shladd        GR_ad_Co = GR_Offs,4,GR_ad_Co
+      shladd        GR_ad_Ce = GR_Offs,4,GR_ad_Ce
+      cmp.eq        p8,p7 = r0,r0
+};;
+{ .mmi
+      ldfpd         FR_A15,FR_A14 = [GR_ad_Co],16
+      ldfpd         FR_A13,FR_A12 = [GR_ad_Ce],16
+      mov           GR_SignOfGamma = 1
+};;
+{ .mmi
+      ldfpd         FR_A11,FR_A10 = [GR_ad_Co],16
+      ldfpd         FR_A9,FR_A8   = [GR_ad_Ce],16
+(p6)  cmp.eq        p7,p8 = r0,GR_RootInd
+};;
+{ .mmi
+      ldfpd         FR_A7,FR_A6 = [GR_ad_Co],16
+      ldfpd         FR_A5,FR_A4 = [GR_ad_Ce],16
+      tbit.z        p11,p0 = GR_Sig,0
+};;
+{ .mmi
+      ldfe          FR_A3 = [GR_ad_Co],16
+      ldfe          FR_A2 = [GR_ad_Ce],16
+      // set p9  if signgum is 32-bit int
+      // set p10 if signgum is 64-bit int
+      cmp.eq        p10,p9 = 8,r34
+};;
+{ .mmi
+      ldfe          FR_A1 = [GR_ad_Co],16
+      ldfe          FR_A0 = [GR_ad_Ce],16
+(p11) sub           GR_SignOfGamma = r0,GR_SignOfGamma
+};;
+{ .mfi
+      ldfe          FR_A00 = [GR_ad_Roots]
+      fma.s1        FR_r4 = FR_r2,FR_r2,f0
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_A15 = FR_A15,FR_r,FR_A14
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_A13 = FR_A13,FR_r,FR_A12
+      nop.i         0
+};;
+.pred.rel "mutex",p9,p10
+{ .mfi
+      // store sign of gamma(x) as 32-bit int
+(p9)  st4           [r33] = GR_SignOfGamma
+      fma.s1        FR_A11 = FR_A11,FR_r,FR_A10
+      nop.i         0
+}
+{ .mfi
+      // store sign of gamma(x) as 64-bit int
+(p10) st8           [r33] = GR_SignOfGamma
+      fma.s1        FR_A9 = FR_A9,FR_r,FR_A8
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_A7 = FR_A7,FR_r,FR_A6
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_A5 = FR_A5,FR_r,FR_A4
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_A3 = FR_A3,FR_r,FR_A2
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_r8 = FR_r4,FR_r4,f0
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_A1 = FR_A1,FR_r,FR_A0
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_A15 = FR_A15,FR_r2,FR_A13
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_A11 = FR_A11,FR_r2,FR_A9
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_A7 = FR_A7,FR_r2,FR_A5
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_A3 = FR_A3,FR_r2,FR_A1
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_A15 = FR_A15,FR_r4,FR_A11
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_A7 = FR_A7,FR_r4,FR_A3
+      nop.i         0
+};;
+.pred.rel "mutex",p7,p8
+{ .mfi
+      nop.m         0
+(p7)  fma.s1        FR_A1 = FR_A15,FR_r8,FR_A7
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+(p8)  fma.d.s0      f8 = FR_A15,FR_r8,FR_A7
+      nop.i         0
+};;
+{ .mfb
+      nop.m         0
+(p7)  fma.d.s0      f8 = FR_A1,FR_r,FR_A00
+      br.ret.sptk   b0
+};;
+// branch for handling pseudo root on (-2;-1)
+//---------------------------------------------------------------------
+.align 32
+lgamma_pseudoroot:
+{ .mmi
+      ldfe          FR_PR21 = [GR_ad_Co],32
+      ldfe          FR_PR31 = [GR_ad_Ce],32
+      // set p9  if signgum is 32-bit int
+      // set p10 if signgum is 64-bit int
+      cmp.eq        p10,p9 = 8,r34
+};;
+{ .mmi
+      ldfe          FR_PR00 = [GR_ad_Co],32
+      ldfe          FR_PR10 = [GR_ad_Ce],0xF0
+      mov           GR_SignOfGamma = 1
+};;
+{ .mmi
+      ldfe          FR_PR20 = [GR_ad_Co],0xF0
+      ldfe          FR_PR30 = [GR_ad_Ce]
+      tbit.z        p8,p0 = GR_Sig,0
+};;
+{ .mfi
+      ldfe          FR_PRN = [GR_ad_Co]
+      fma.s1        FR_PR01 = f8,f1,FR_PR01
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_PR11 = f8,f1,FR_PR11
+(p8)  sub           GR_SignOfGamma = r0,GR_SignOfGamma
+};;
+.pred.rel "mutex",p9,p10
+{ .mfi
+      // store sign of gamma(x) as 32-bit int
+(p9)  st4           [r33] = GR_SignOfGamma
+      fma.s1        FR_PR21 = f8,f1,FR_PR21
+      nop.i         0
+}
+{ .mfi
+      // store sign of gamma(x) as 64-bit int
+(p10) st8           [r33] = GR_SignOfGamma
+      fma.s1        FR_PR31 = f8,f1,FR_PR31
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_PR01 = f8,FR_PR01,FR_PR00
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_PR11 = f8,FR_PR11,FR_PR10
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_PR21 = f8,FR_PR21,FR_PR20
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_PR31 = f8,FR_PR31,FR_PR30
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_PR01 = FR_PR11,FR_PR01,f0
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_PR21 = FR_PR31,FR_PR21,f0
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_PR01 = FR_PR21,FR_PR01,f0
+      nop.i         0
+};;
+{ .mfb
+      nop.m         0
+      fma.d.s0      f8 = FR_PR01,FR_PRN,f0
+      br.ret.sptk   b0
+};;
+// branch for handling +/-0, NaT, QNaN, +/-INF and denormalised numbers
+//---------------------------------------------------------------------
+.align 32
+lgamma_spec:
+{ .mfi
+      getf.exp      GR_SignExp = FR_NormX
+      fclass.m      p6,p0 = f8,0x21 // is arg +INF?
+      mov           GR_SignOfGamma = 1
+};;
+{ .mfi
+      getf.sig      GR_ArgAsIs = FR_NormX
+      fclass.m      p7,p0 = f8,0xB // is x deno?
+      // set p11 if signgum is 32-bit int
+      // set p12 if signgum is 64-bit int
+      cmp.eq        p12,p11 = 8,r34
+};;
+.pred.rel "mutex",p11,p12
+{ .mfi
+      // store sign of gamma(x) as 32-bit int
+(p11) st4           [r33] = GR_SignOfGamma
+      fclass.m      p8,p0 = f8,0x1C0 // is arg NaT or NaN?
+      dep.z         GR_Ind = GR_SignExp,8,4
+}
+{ .mib
+      // store sign of gamma(x) as 64-bit int
+(p12) st8           [r33] = GR_SignOfGamma
+      cmp.lt        p10,p0 = GR_SignExp,GR_ExpBias
+(p6)  br.ret.spnt   b0 // exit for +INF
+};;
+{ .mfi
+      and           GR_Exp = GR_SignExp,GR_ExpMask
+      fclass.m      p9,p0 = f8,0x22 // is arg -INF?
+      nop.i         0
+};;
+{ .mfi
+      add           GR_ad_Co = GR_Ind,GR_ad_Data
+(p7)  fma.s0        FR_tmp = f8,f8,f8
+      extr.u        GR_ArgAsIs = GR_ArgAsIs,11,52
+}
+{ .mfb
+      nop.m         0
+(p8)  fms.d.s0      f8 = f8,f1,f8
+(p8)  br.ret.spnt   b0 // exit for NaT and NaN
+};;
+{ .mib
+      nop.m         0
+      shr.u         GR_Arg = GR_ArgAsIs,48
+(p7)  br.cond.sptk  lgamma_common
+};;
+{ .mfb
+      nop.m         0
+(p9)  fmerge.s      f8 = f1,f8
+(p9)  br.ret.spnt   b0 // exit -INF
+};;
+// branch for handling negative integers and +/-0
+//---------------------------------------------------------------------
+.align 32
+lgamma_singularity:
+{ .mfi
+      mov           GR_ad_SignGam = r33
+      fclass.m      p6,p0 = f8, 0x6 // is x -0?
+      mov           GR_SignOfGamma = 1
+}
+{ .mfi
+      // set p9  if signgum is 32-bit int
+      // set p10 if signgum is 64-bit int
+      cmp.eq        p10,p9 = 8,r34
+      fma.s1        FR_X = f0,f0,f8
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      frcpa.s0      f8,p0 = f1,f0
+      mov           GR_TAG = 106 // negative
+}
+{ .mib
+      nop.m         0
+(p6)  sub           GR_SignOfGamma = r0,GR_SignOfGamma
+      br.cond.sptk  lgamma_libm_err
+};;
+// overflow (x > OVERFLOV_BOUNDARY)
+//---------------------------------------------------------------------
+.align 32
+lgamma_overflow:
+{ .mfi
+      mov           GR_SignOfGamma = 1
+      nop.f         0
+      mov           r8 = 0x1FFFE
+};;
+{ .mfi
+      setf.exp      f9 = r8
+      fmerge.s      FR_X = f8,f8
+      mov           GR_TAG = 105 // overflow
+};;
+{ .mfi
+      mov           GR_ad_SignGam = r33
+      nop.f         0
+      // set p9  if signgum is 32-bit int
+      // set p10 if signgum is 64-bit int
+      cmp.eq        p10,p9 = 8,r34
+}
+{ .mfi
+      nop.m         0
+      fma.d.s0      f8 = f9,f9,f0 // Set I,O and +INF result
+      nop.i         0
+};;
+//
+//---------------------------------------------------------------------
+.align 32
+lgamma_libm_err:
+{ .mmi
+      alloc         r32 = ar.pfs,1,4,4,0
+      mov           GR_Parameter_TAG = GR_TAG
+      nop.i         0
+};;
+.pred.rel "mutex",p9,p10
+{ .mmi
+      // store sign of gamma(x) as 32-bit int
+(p9)  st4           [GR_ad_SignGam] = GR_SignOfGamma
+      // store sign of gamma(x) as 64-bit int
+(p10) st8           [GR_ad_SignGam] = GR_SignOfGamma
+      nop.i         0
+};;
+GLOBAL_LIBM_END(__libm_lgamma)
+
+LOCAL_LIBM_ENTRY(__libm_error_region)
+.prologue
+{ .mfi
+        add   GR_Parameter_Y=-32,sp             // Parameter 2 value
+        nop.f 0
+.save   ar.pfs,GR_SAVE_PFS
+        mov   GR_SAVE_PFS=ar.pfs                // Save ar.pfs
+}
+{ .mfi
+.fframe 64
+        add   sp=-64,sp                         // Create new stack
+        nop.f 0
+        mov   GR_SAVE_GP=gp                     // Save gp
+};;
+{ .mmi
+        stfd [GR_Parameter_Y] = FR_Y,16         // STORE Parameter 2 on stack
+        add GR_Parameter_X = 16,sp              // Parameter 1 address
+.save   b0, GR_SAVE_B0
+        mov GR_SAVE_B0=b0                       // Save b0
+};;
+.body
+{ .mib
+        stfd [GR_Parameter_X] = FR_X                  // STORE Parameter 1
+                                                      // on stack
+        add   GR_Parameter_RESULT = 0,GR_Parameter_Y  // Parameter 3 address
+        nop.b 0
+}
+{ .mib
+        stfd [GR_Parameter_Y] = FR_RESULT             // STORE Parameter 3
+                                                      // on stack
+        add   GR_Parameter_Y = -16,GR_Parameter_Y
+        br.call.sptk b0=__libm_error_support#         // Call error handling
+                                                      // function
+};;
+{ .mmi
+        nop.m 0
+        nop.m 0
+        add   GR_Parameter_RESULT = 48,sp
+};;
+{ .mmi
+        ldfd  f8 = [GR_Parameter_RESULT]       // Get return result off stack
+.restore sp
+        add   sp = 64,sp                       // Restore stack pointer
+        mov   b0 = GR_SAVE_B0                  // Restore return address
+};;
+{ .mib
+        mov   gp = GR_SAVE_GP                  // Restore gp
+        mov   ar.pfs = GR_SAVE_PFS             // Restore ar.pfs
+        br.ret.sptk     b0                     // Return
+};;
+
+LOCAL_LIBM_END(__libm_error_region)
+.type   __libm_error_support#,@function
+.global __libm_error_support#
diff --git a/sysdeps/ia64/fpu/libm_lgammaf.S b/sysdeps/ia64/fpu/libm_lgammaf.S
new file mode 100644
index 0000000000..83cffd60fa
--- /dev/null
+++ b/sysdeps/ia64/fpu/libm_lgammaf.S
@@ -0,0 +1,2189 @@
+.file "libm_lgammaf.s"
+
+
+// Copyright (c) 2002 - 2003, Intel Corporation
+// All rights reserved.
+//
+// Contributed 2002 by the Intel Numerics Group, Intel Corporation
+//
+// Redistribution and use in source and binary forms, with or without
+// modification, are permitted provided that the following conditions are
+// met:
+//
+// * Redistributions of source code must retain the above copyright
+// notice, this list of conditions and the following disclaimer.
+//
+// * Redistributions in binary form must reproduce the above copyright
+// notice, this list of conditions and the following disclaimer in the
+// documentation and/or other materials provided with the distribution.
+//
+// * The name of Intel Corporation may not be used to endorse or promote
+// products derived from this software without specific prior written
+// permission.
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES,INCLUDING,BUT NOT
+// LIMITED TO,THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
+// CONTRIBUTORS BE LIABLE FOR ANY DIRECT,INDIRECT,INCIDENTAL,SPECIAL,
+// EXEMPLARY,OR CONSEQUENTIAL DAMAGES (INCLUDING,BUT NOT LIMITED TO,
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,DATA,OR
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
+// OF LIABILITY,WHETHER IN CONTRACT,STRICT LIABILITY OR TORT (INCLUDING
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+// SOFTWARE,EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+//
+// Intel Corporation is the author of this code,and requests that all
+// problem reports or change requests be submitted to it directly at
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
+//
+//*********************************************************************
+//
+// History:
+// 01/10/02  Initial version
+// 01/25/02  Corrected parameter store, load, and tag for __libm_error_support
+// 02/01/02  Added support of SIGN(GAMMA(x)) calculation
+// 05/20/02  Cleaned up namespace and sf0 syntax
+// 09/16/02  Improved accuracy on intervals reduced to [1;1.25]
+// 10/21/02  Now it returns SIGN(GAMMA(x))=-1 for negative zero
+// 02/10/03  Reordered header: .section, .global, .proc, .align
+//
+//*********************************************************************
+//
+//*********************************************************************
+//
+// Function: __libm_lgammaf(float x, int* signgam, int szsigngam)
+// computes the principle value of the logarithm of the GAMMA function
+// of x. Signum of GAMMA(x) is stored to memory starting at the address
+// specified by the signgam.
+//
+//*********************************************************************
+//
+// Resources Used:
+//
+//    Floating-Point Registers: f6-f15
+//                              f32-f97
+//
+//    General Purpose Registers:
+//      r8-r11
+//      r14-r30
+//      r32-r36
+//      r37-r40 (Used to pass arguments to error handling routine)
+//
+//    Predicate Registers:      p6-p15
+//
+//*********************************************************************
+//
+// IEEE Special Conditions:
+//
+//    lgamma(+inf) = +inf
+//    lgamma(-inf) = +inf
+//    lgamma(+/-0) = +inf
+//    lgamma(x<0, x - integer) = +inf
+//    lgamma(SNaN) = QNaN
+//    lgamma(QNaN) = QNaN
+//
+//*********************************************************************
+//
+// Overview
+//
+// The method consists of three cases.
+//
+// If      2^13 <= x < OVERFLOW_BOUNDARY  use case lgammaf_pstirling;
+// else if 1 < x < 2^13                   use case lgammaf_regular;
+// else if -9 < x < 1                     use case lgammaf_negrecursion;
+// else if -2^13 <  x < -9                use case lgammaf_negpoly;
+// else if x < -2^13                      use case lgammaf_negstirling;
+// else if x is close to negative
+//         roots of ln(GAMMA(x))          use case lgammaf_negroots;
+//
+//
+// Case 2^13 <= x < OVERFLOW_BOUNDARY
+// ----------------------------------
+//   Here we use algorithm based on the Stirling formula:
+//     ln(GAMMA(x)) = ln(sqrt(2*Pi)) + (x-0.5)*ln(x) - x
+//
+// Case 1 < x < 2^13
+// -----------------
+//   To calculate ln(GAMMA(x)) for such arguments we use polynomial
+//   approximation on following intervals: [1.0; 1.25), [1.25; 1.5),
+//   [1.5, 1.75), [1.75; 2), [2; 4), [2^i; 2^(i+1)), i=1..8
+//
+//   Following variants of approximation and argument reduction are used:
+//    1. [1.0; 1.25)
+//       ln(GAMMA(x)) ~ (x-1.0)*P7(x)
+//
+//    2. [1.25; 1.5)
+//       ln(GAMMA(x)) ~ ln(GAMMA(x0))+(x-x0)*P8(x-x0),
+//       where x0 - point of local minimum on [1;2] rounded to nearest double
+//       precision number.
+//
+//    3. [1.5; 1.75)
+//       ln(GAMMA(x)) ~ P8(x)
+//
+//    4. [1.75; 2.0)
+//       ln(GAMMA(x)) ~ (x-2)*P7(x)
+//
+//    5. [2; 4)
+//       ln(GAMMA(x)) ~ (x-2)*P10(x)
+//
+//    6. [2^i; 2^(i+1)), i=2..8
+//       ln(GAMMA(x)) ~ P10((x-2^i)/2^i)
+//
+// Case -9 < x < 1
+// ---------------
+//   Here we use the recursive formula:
+//   ln(GAMMA(x)) = ln(GAMMA(x+1)) - ln(x)
+//
+//   Using this formula we reduce argument to base interval [1.0; 2.0]
+//
+// Case -2^13 < x < -9
+// --------------------
+//   Here we use the formula:
+//   ln(GAMMA(x)) = ln(Pi/(|x|*GAMMA(|x|)*sin(Pi*|x|))) =
+//   = -ln(|x|) - ln((GAMMA(|x|)) - ln(sin(Pi*r)/(Pi*r)) - ln(|r|)
+//   where r = x - rounded_to_nearest(x), i.e |r| <= 0.5 and
+//   ln(sin(Pi*r)/(Pi*r)) is approximated by 8-degree polynomial of r^2
+//
+// Case x < -2^13
+// --------------
+//   Here we use algorithm based on the Stirling formula:
+//   ln(GAMMA(x)) = -ln(sqrt(2*Pi)) + (|x|-0.5)ln(x) - |x| -
+//   - ln(sin(Pi*r)/(Pi*r)) - ln(|r|)
+//   where r = x - rounded_to_nearest(x).
+//
+// Neighbourhoods of negative roots
+// --------------------------------
+//   Here we use polynomial approximation
+//   ln(GAMMA(x-x0)) = ln(GAMMA(x0)) + (x-x0)*P14(x-x0),
+//   where x0 is a root of ln(GAMMA(x)) rounded to nearest double
+//   precision number.
+//
+//
+// Claculation of logarithm
+// ------------------------
+//   Consider  x = 2^N * xf so
+//   ln(x) = ln(frcpa(x)*x/frcpa(x))
+//         = ln(1/frcpa(x)) + ln(frcpa(x)*x)
+//
+//   frcpa(x) = 2^(-N) * frcpa(xf)
+//
+//   ln(1/frcpa(x)) = -ln(2^(-N)) - ln(frcpa(xf))
+//                  = N*ln(2) - ln(frcpa(xf))
+//                  = N*ln(2) + ln(1/frcpa(xf))
+//
+//   ln(x) = ln(1/frcpa(x)) + ln(frcpa(x)*x) =
+//         = N*ln(2) + ln(1/frcpa(xf)) + ln(frcpa(x)*x)
+//         = N*ln(2) + T + ln(frcpa(x)*x)
+//
+//   Let r = 1 - frcpa(x)*x, note that r is quite small by
+//   absolute value so
+//
+//   ln(x) = N*ln(2) + T + ln(1+r) ~ N*ln(2) + T + Series(r),
+//   where T - is precomputed tabular value,
+//   Series(r) = (P3*r + P2)*r^2 + (P1*r + 1)
+//
+//*********************************************************************
+
+GR_TAG                 = r8
+GR_ad_Data             = r8
+GR_ad_Co               = r9
+GR_ad_SignGam          = r10
+GR_ad_Ce               = r10
+GR_SignExp             = r11
+
+GR_ad_C650             = r14
+GR_ad_RootCo           = r14
+GR_ad_C0               = r15
+GR_Dx                  = r15
+GR_Ind                 = r16
+GR_Offs                = r17
+GR_IntNum              = r17
+GR_ExpBias             = r18
+GR_ExpMask             = r19
+GR_Ind4T               = r20
+GR_RootInd             = r20
+GR_Sig                 = r21
+GR_Exp                 = r22
+GR_PureExp             = r23
+GR_ad_C43              = r24
+GR_StirlBound          = r25
+GR_ad_T                = r25
+GR_IndX8               = r25
+GR_Neg2                = r25
+GR_2xDx                = r25
+GR_SingBound           = r26
+GR_IndX2               = r26
+GR_Neg4                = r26
+GR_ad_RootCe           = r26
+GR_Arg                 = r27
+GR_ExpOf2              = r28
+GR_fff7                = r28
+GR_Root                = r28
+GR_ReqBound            = r28
+GR_N                   = r29
+GR_ad_Root             = r30
+GR_ad_OvfBound         = r30
+GR_SignOfGamma         = r31
+
+GR_SAVE_B0             = r33
+GR_SAVE_PFS            = r34
+GR_SAVE_GP             = r35
+GR_SAVE_SP             = r36
+
+GR_Parameter_X         = r37
+GR_Parameter_Y         = r38
+GR_Parameter_RESULT    = r39
+GR_Parameter_TAG       = r40
+
+//*********************************************************************
+
+FR_X                   = f10
+FR_Y                   = f1 // lgammaf is single argument function
+FR_RESULT              = f8
+
+FR_x                   = f6
+FR_x2                  = f7
+
+FR_x3                  = f9
+FR_x4                  = f10
+FR_xm2                 = f11
+FR_w                   = f11
+FR_w2                  = f12
+FR_Q32                 = f13
+FR_Q10                 = f14
+FR_InvX                = f15
+
+FR_NormX               = f32
+
+FR_A0                  = f33
+FR_A1                  = f34
+FR_A2                  = f35
+FR_A3                  = f36
+FR_A4                  = f37
+FR_A5                  = f38
+FR_A6                  = f39
+FR_A7                  = f40
+FR_A8                  = f41
+FR_A9                  = f42
+FR_A10                 = f43
+
+FR_int_N               = f44
+FR_P3                  = f45
+FR_P2                  = f46
+FR_P1                  = f47
+FR_LocalMin            = f48
+FR_Ln2                 = f49
+FR_05                  = f50
+FR_LnSqrt2Pi           = f51
+FR_3                   = f52
+FR_r                   = f53
+FR_r2                  = f54
+FR_T                   = f55
+FR_N                   = f56
+FR_xm05                = f57
+FR_int_Ln              = f58
+FR_P32                 = f59
+FR_P10                 = f60
+
+FR_Xf                  = f61
+FR_InvXf               = f62
+FR_rf                  = f63
+FR_rf2                 = f64
+FR_Tf                  = f65
+FR_Nf                  = f66
+FR_xm05f               = f67
+FR_P32f                = f68
+FR_P10f                = f69
+FR_Lnf                 = f70
+FR_Xf2                 = f71
+FR_Xf4                 = f72
+FR_Xf8                 = f73
+FR_Ln                  = f74
+FR_xx                  = f75
+FR_Root                = f75
+FR_Req                 = f76
+FR_1pXf                = f77
+
+FR_S16                 = f78
+FR_R3                  = f78
+FR_S14                 = f79
+FR_R2                  = f79
+FR_S12                 = f80
+FR_R1                  = f80
+FR_S10                 = f81
+FR_R0                  = f81
+FR_S8                  = f82
+FR_rx                  = f82
+FR_S6                  = f83
+FR_rx2                 = f84
+FR_S4                  = f84
+FR_S2                  = f85
+
+FR_Xp1                 = f86
+FR_Xp2                 = f87
+FR_Xp3                 = f88
+FR_Xp4                 = f89
+FR_Xp5                 = f90
+FR_Xp6                 = f91
+FR_Xp7                 = f92
+FR_Xp8                 = f93
+FR_OverflowBound       = f93
+
+FR_2                   = f94
+FR_tmp                 = f95
+FR_int_Ntrunc          = f96
+FR_Ntrunc              = f97
+
+//*********************************************************************
+
+RODATA
+.align 32
+LOCAL_OBJECT_START(lgammaf_data)
+log_table_1:
+data8 0xbfd0001008f39d59 // P3
+data8 0x3fd5556073e0c45a // P2
+data8 0x3fe62e42fefa39ef // ln(2)
+data8 0x3fe0000000000000 // 0.5
+//
+data8 0x3F60040155D5889E //ln(1/frcpa(1+   0/256)
+data8 0x3F78121214586B54 //ln(1/frcpa(1+   1/256)
+data8 0x3F841929F96832F0 //ln(1/frcpa(1+   2/256)
+data8 0x3F8C317384C75F06 //ln(1/frcpa(1+   3/256)
+data8 0x3F91A6B91AC73386 //ln(1/frcpa(1+   4/256)
+data8 0x3F95BA9A5D9AC039 //ln(1/frcpa(1+   5/256)
+data8 0x3F99D2A8074325F4 //ln(1/frcpa(1+   6/256)
+data8 0x3F9D6B2725979802 //ln(1/frcpa(1+   7/256)
+data8 0x3FA0C58FA19DFAAA //ln(1/frcpa(1+   8/256)
+data8 0x3FA2954C78CBCE1B //ln(1/frcpa(1+   9/256)
+data8 0x3FA4A94D2DA96C56 //ln(1/frcpa(1+  10/256)
+data8 0x3FA67C94F2D4BB58 //ln(1/frcpa(1+  11/256)
+data8 0x3FA85188B630F068 //ln(1/frcpa(1+  12/256)
+data8 0x3FAA6B8ABE73AF4C //ln(1/frcpa(1+  13/256)
+data8 0x3FAC441E06F72A9E //ln(1/frcpa(1+  14/256)
+data8 0x3FAE1E6713606D07 //ln(1/frcpa(1+  15/256)
+data8 0x3FAFFA6911AB9301 //ln(1/frcpa(1+  16/256)
+data8 0x3FB0EC139C5DA601 //ln(1/frcpa(1+  17/256)
+data8 0x3FB1DBD2643D190B //ln(1/frcpa(1+  18/256)
+data8 0x3FB2CC7284FE5F1C //ln(1/frcpa(1+  19/256)
+data8 0x3FB3BDF5A7D1EE64 //ln(1/frcpa(1+  20/256)
+data8 0x3FB4B05D7AA012E0 //ln(1/frcpa(1+  21/256)
+data8 0x3FB580DB7CEB5702 //ln(1/frcpa(1+  22/256)
+data8 0x3FB674F089365A7A //ln(1/frcpa(1+  23/256)
+data8 0x3FB769EF2C6B568D //ln(1/frcpa(1+  24/256)
+data8 0x3FB85FD927506A48 //ln(1/frcpa(1+  25/256)
+data8 0x3FB9335E5D594989 //ln(1/frcpa(1+  26/256)
+data8 0x3FBA2B0220C8E5F5 //ln(1/frcpa(1+  27/256)
+data8 0x3FBB0004AC1A86AC //ln(1/frcpa(1+  28/256)
+data8 0x3FBBF968769FCA11 //ln(1/frcpa(1+  29/256)
+data8 0x3FBCCFEDBFEE13A8 //ln(1/frcpa(1+  30/256)
+data8 0x3FBDA727638446A2 //ln(1/frcpa(1+  31/256)
+data8 0x3FBEA3257FE10F7A //ln(1/frcpa(1+  32/256)
+data8 0x3FBF7BE9FEDBFDE6 //ln(1/frcpa(1+  33/256)
+data8 0x3FC02AB352FF25F4 //ln(1/frcpa(1+  34/256)
+data8 0x3FC097CE579D204D //ln(1/frcpa(1+  35/256)
+data8 0x3FC1178E8227E47C //ln(1/frcpa(1+  36/256)
+data8 0x3FC185747DBECF34 //ln(1/frcpa(1+  37/256)
+data8 0x3FC1F3B925F25D41 //ln(1/frcpa(1+  38/256)
+data8 0x3FC2625D1E6DDF57 //ln(1/frcpa(1+  39/256)
+data8 0x3FC2D1610C86813A //ln(1/frcpa(1+  40/256)
+data8 0x3FC340C59741142E //ln(1/frcpa(1+  41/256)
+data8 0x3FC3B08B6757F2A9 //ln(1/frcpa(1+  42/256)
+data8 0x3FC40DFB08378003 //ln(1/frcpa(1+  43/256)
+data8 0x3FC47E74E8CA5F7C //ln(1/frcpa(1+  44/256)
+data8 0x3FC4EF51F6466DE4 //ln(1/frcpa(1+  45/256)
+data8 0x3FC56092E02BA516 //ln(1/frcpa(1+  46/256)
+data8 0x3FC5D23857CD74D5 //ln(1/frcpa(1+  47/256)
+data8 0x3FC6313A37335D76 //ln(1/frcpa(1+  48/256)
+data8 0x3FC6A399DABBD383 //ln(1/frcpa(1+  49/256)
+data8 0x3FC70337DD3CE41B //ln(1/frcpa(1+  50/256)
+data8 0x3FC77654128F6127 //ln(1/frcpa(1+  51/256)
+data8 0x3FC7E9D82A0B022D //ln(1/frcpa(1+  52/256)
+data8 0x3FC84A6B759F512F //ln(1/frcpa(1+  53/256)
+data8 0x3FC8AB47D5F5A310 //ln(1/frcpa(1+  54/256)
+data8 0x3FC91FE49096581B //ln(1/frcpa(1+  55/256)
+data8 0x3FC981634011AA75 //ln(1/frcpa(1+  56/256)
+data8 0x3FC9F6C407089664 //ln(1/frcpa(1+  57/256)
+data8 0x3FCA58E729348F43 //ln(1/frcpa(1+  58/256)
+data8 0x3FCABB55C31693AD //ln(1/frcpa(1+  59/256)
+data8 0x3FCB1E104919EFD0 //ln(1/frcpa(1+  60/256)
+data8 0x3FCB94EE93E367CB //ln(1/frcpa(1+  61/256)
+data8 0x3FCBF851C067555F //ln(1/frcpa(1+  62/256)
+data8 0x3FCC5C0254BF23A6 //ln(1/frcpa(1+  63/256)
+data8 0x3FCCC000C9DB3C52 //ln(1/frcpa(1+  64/256)
+data8 0x3FCD244D99C85674 //ln(1/frcpa(1+  65/256)
+data8 0x3FCD88E93FB2F450 //ln(1/frcpa(1+  66/256)
+data8 0x3FCDEDD437EAEF01 //ln(1/frcpa(1+  67/256)
+data8 0x3FCE530EFFE71012 //ln(1/frcpa(1+  68/256)
+data8 0x3FCEB89A1648B971 //ln(1/frcpa(1+  69/256)
+data8 0x3FCF1E75FADF9BDE //ln(1/frcpa(1+  70/256)
+data8 0x3FCF84A32EAD7C35 //ln(1/frcpa(1+  71/256)
+data8 0x3FCFEB2233EA07CD //ln(1/frcpa(1+  72/256)
+data8 0x3FD028F9C7035C1C //ln(1/frcpa(1+  73/256)
+data8 0x3FD05C8BE0D9635A //ln(1/frcpa(1+  74/256)
+data8 0x3FD085EB8F8AE797 //ln(1/frcpa(1+  75/256)
+data8 0x3FD0B9C8E32D1911 //ln(1/frcpa(1+  76/256)
+data8 0x3FD0EDD060B78081 //ln(1/frcpa(1+  77/256)
+data8 0x3FD122024CF0063F //ln(1/frcpa(1+  78/256)
+data8 0x3FD14BE2927AECD4 //ln(1/frcpa(1+  79/256)
+data8 0x3FD180618EF18ADF //ln(1/frcpa(1+  80/256)
+data8 0x3FD1B50BBE2FC63B //ln(1/frcpa(1+  81/256)
+data8 0x3FD1DF4CC7CF242D //ln(1/frcpa(1+  82/256)
+data8 0x3FD214456D0EB8D4 //ln(1/frcpa(1+  83/256)
+data8 0x3FD23EC5991EBA49 //ln(1/frcpa(1+  84/256)
+data8 0x3FD2740D9F870AFB //ln(1/frcpa(1+  85/256)
+data8 0x3FD29ECDABCDFA04 //ln(1/frcpa(1+  86/256)
+data8 0x3FD2D46602ADCCEE //ln(1/frcpa(1+  87/256)
+data8 0x3FD2FF66B04EA9D4 //ln(1/frcpa(1+  88/256)
+data8 0x3FD335504B355A37 //ln(1/frcpa(1+  89/256)
+data8 0x3FD360925EC44F5D //ln(1/frcpa(1+  90/256)
+data8 0x3FD38BF1C3337E75 //ln(1/frcpa(1+  91/256)
+data8 0x3FD3C25277333184 //ln(1/frcpa(1+  92/256)
+data8 0x3FD3EDF463C1683E //ln(1/frcpa(1+  93/256)
+data8 0x3FD419B423D5E8C7 //ln(1/frcpa(1+  94/256)
+data8 0x3FD44591E0539F49 //ln(1/frcpa(1+  95/256)
+data8 0x3FD47C9175B6F0AD //ln(1/frcpa(1+  96/256)
+data8 0x3FD4A8B341552B09 //ln(1/frcpa(1+  97/256)
+data8 0x3FD4D4F3908901A0 //ln(1/frcpa(1+  98/256)
+data8 0x3FD501528DA1F968 //ln(1/frcpa(1+  99/256)
+data8 0x3FD52DD06347D4F6 //ln(1/frcpa(1+ 100/256)
+data8 0x3FD55A6D3C7B8A8A //ln(1/frcpa(1+ 101/256)
+data8 0x3FD5925D2B112A59 //ln(1/frcpa(1+ 102/256)
+data8 0x3FD5BF406B543DB2 //ln(1/frcpa(1+ 103/256)
+data8 0x3FD5EC433D5C35AE //ln(1/frcpa(1+ 104/256)
+data8 0x3FD61965CDB02C1F //ln(1/frcpa(1+ 105/256)
+data8 0x3FD646A84935B2A2 //ln(1/frcpa(1+ 106/256)
+data8 0x3FD6740ADD31DE94 //ln(1/frcpa(1+ 107/256)
+data8 0x3FD6A18DB74A58C5 //ln(1/frcpa(1+ 108/256)
+data8 0x3FD6CF31058670EC //ln(1/frcpa(1+ 109/256)
+data8 0x3FD6F180E852F0BA //ln(1/frcpa(1+ 110/256)
+data8 0x3FD71F5D71B894F0 //ln(1/frcpa(1+ 111/256)
+data8 0x3FD74D5AEFD66D5C //ln(1/frcpa(1+ 112/256)
+data8 0x3FD77B79922BD37E //ln(1/frcpa(1+ 113/256)
+data8 0x3FD7A9B9889F19E2 //ln(1/frcpa(1+ 114/256)
+data8 0x3FD7D81B037EB6A6 //ln(1/frcpa(1+ 115/256)
+data8 0x3FD8069E33827231 //ln(1/frcpa(1+ 116/256)
+data8 0x3FD82996D3EF8BCB //ln(1/frcpa(1+ 117/256)
+data8 0x3FD85855776DCBFB //ln(1/frcpa(1+ 118/256)
+data8 0x3FD8873658327CCF //ln(1/frcpa(1+ 119/256)
+data8 0x3FD8AA75973AB8CF //ln(1/frcpa(1+ 120/256)
+data8 0x3FD8D992DC8824E5 //ln(1/frcpa(1+ 121/256)
+data8 0x3FD908D2EA7D9512 //ln(1/frcpa(1+ 122/256)
+data8 0x3FD92C59E79C0E56 //ln(1/frcpa(1+ 123/256)
+data8 0x3FD95BD750EE3ED3 //ln(1/frcpa(1+ 124/256)
+data8 0x3FD98B7811A3EE5B //ln(1/frcpa(1+ 125/256)
+data8 0x3FD9AF47F33D406C //ln(1/frcpa(1+ 126/256)
+data8 0x3FD9DF270C1914A8 //ln(1/frcpa(1+ 127/256)
+data8 0x3FDA0325ED14FDA4 //ln(1/frcpa(1+ 128/256)
+data8 0x3FDA33440224FA79 //ln(1/frcpa(1+ 129/256)
+data8 0x3FDA57725E80C383 //ln(1/frcpa(1+ 130/256)
+data8 0x3FDA87D0165DD199 //ln(1/frcpa(1+ 131/256)
+data8 0x3FDAAC2E6C03F896 //ln(1/frcpa(1+ 132/256)
+data8 0x3FDADCCC6FDF6A81 //ln(1/frcpa(1+ 133/256)
+data8 0x3FDB015B3EB1E790 //ln(1/frcpa(1+ 134/256)
+data8 0x3FDB323A3A635948 //ln(1/frcpa(1+ 135/256)
+data8 0x3FDB56FA04462909 //ln(1/frcpa(1+ 136/256)
+data8 0x3FDB881AA659BC93 //ln(1/frcpa(1+ 137/256)
+data8 0x3FDBAD0BEF3DB165 //ln(1/frcpa(1+ 138/256)
+data8 0x3FDBD21297781C2F //ln(1/frcpa(1+ 139/256)
+data8 0x3FDC039236F08819 //ln(1/frcpa(1+ 140/256)
+data8 0x3FDC28CB1E4D32FD //ln(1/frcpa(1+ 141/256)
+data8 0x3FDC4E19B84723C2 //ln(1/frcpa(1+ 142/256)
+data8 0x3FDC7FF9C74554C9 //ln(1/frcpa(1+ 143/256)
+data8 0x3FDCA57B64E9DB05 //ln(1/frcpa(1+ 144/256)
+data8 0x3FDCCB130A5CEBB0 //ln(1/frcpa(1+ 145/256)
+data8 0x3FDCF0C0D18F326F //ln(1/frcpa(1+ 146/256)
+data8 0x3FDD232075B5A201 //ln(1/frcpa(1+ 147/256)
+data8 0x3FDD490246DEFA6B //ln(1/frcpa(1+ 148/256)
+data8 0x3FDD6EFA918D25CD //ln(1/frcpa(1+ 149/256)
+data8 0x3FDD9509707AE52F //ln(1/frcpa(1+ 150/256)
+data8 0x3FDDBB2EFE92C554 //ln(1/frcpa(1+ 151/256)
+data8 0x3FDDEE2F3445E4AF //ln(1/frcpa(1+ 152/256)
+data8 0x3FDE148A1A2726CE //ln(1/frcpa(1+ 153/256)
+data8 0x3FDE3AFC0A49FF40 //ln(1/frcpa(1+ 154/256)
+data8 0x3FDE6185206D516E //ln(1/frcpa(1+ 155/256)
+data8 0x3FDE882578823D52 //ln(1/frcpa(1+ 156/256)
+data8 0x3FDEAEDD2EAC990C //ln(1/frcpa(1+ 157/256)
+data8 0x3FDED5AC5F436BE3 //ln(1/frcpa(1+ 158/256)
+data8 0x3FDEFC9326D16AB9 //ln(1/frcpa(1+ 159/256)
+data8 0x3FDF2391A2157600 //ln(1/frcpa(1+ 160/256)
+data8 0x3FDF4AA7EE03192D //ln(1/frcpa(1+ 161/256)
+data8 0x3FDF71D627C30BB0 //ln(1/frcpa(1+ 162/256)
+data8 0x3FDF991C6CB3B379 //ln(1/frcpa(1+ 163/256)
+data8 0x3FDFC07ADA69A910 //ln(1/frcpa(1+ 164/256)
+data8 0x3FDFE7F18EB03D3E //ln(1/frcpa(1+ 165/256)
+data8 0x3FE007C053C5002E //ln(1/frcpa(1+ 166/256)
+data8 0x3FE01B942198A5A1 //ln(1/frcpa(1+ 167/256)
+data8 0x3FE02F74400C64EB //ln(1/frcpa(1+ 168/256)
+data8 0x3FE04360BE7603AD //ln(1/frcpa(1+ 169/256)
+data8 0x3FE05759AC47FE34 //ln(1/frcpa(1+ 170/256)
+data8 0x3FE06B5F1911CF52 //ln(1/frcpa(1+ 171/256)
+data8 0x3FE078BF0533C568 //ln(1/frcpa(1+ 172/256)
+data8 0x3FE08CD9687E7B0E //ln(1/frcpa(1+ 173/256)
+data8 0x3FE0A10074CF9019 //ln(1/frcpa(1+ 174/256)
+data8 0x3FE0B5343A234477 //ln(1/frcpa(1+ 175/256)
+data8 0x3FE0C974C89431CE //ln(1/frcpa(1+ 176/256)
+data8 0x3FE0DDC2305B9886 //ln(1/frcpa(1+ 177/256)
+data8 0x3FE0EB524BAFC918 //ln(1/frcpa(1+ 178/256)
+data8 0x3FE0FFB54213A476 //ln(1/frcpa(1+ 179/256)
+data8 0x3FE114253DA97D9F //ln(1/frcpa(1+ 180/256)
+data8 0x3FE128A24F1D9AFF //ln(1/frcpa(1+ 181/256)
+data8 0x3FE1365252BF0865 //ln(1/frcpa(1+ 182/256)
+data8 0x3FE14AE558B4A92D //ln(1/frcpa(1+ 183/256)
+data8 0x3FE15F85A19C765B //ln(1/frcpa(1+ 184/256)
+data8 0x3FE16D4D38C119FA //ln(1/frcpa(1+ 185/256)
+data8 0x3FE18203C20DD133 //ln(1/frcpa(1+ 186/256)
+data8 0x3FE196C7BC4B1F3B //ln(1/frcpa(1+ 187/256)
+data8 0x3FE1A4A738B7A33C //ln(1/frcpa(1+ 188/256)
+data8 0x3FE1B981C0C9653D //ln(1/frcpa(1+ 189/256)
+data8 0x3FE1CE69E8BB106B //ln(1/frcpa(1+ 190/256)
+data8 0x3FE1DC619DE06944 //ln(1/frcpa(1+ 191/256)
+data8 0x3FE1F160A2AD0DA4 //ln(1/frcpa(1+ 192/256)
+data8 0x3FE2066D7740737E //ln(1/frcpa(1+ 193/256)
+data8 0x3FE2147DBA47A394 //ln(1/frcpa(1+ 194/256)
+data8 0x3FE229A1BC5EBAC3 //ln(1/frcpa(1+ 195/256)
+data8 0x3FE237C1841A502E //ln(1/frcpa(1+ 196/256)
+data8 0x3FE24CFCE6F80D9A //ln(1/frcpa(1+ 197/256)
+data8 0x3FE25B2C55CD5762 //ln(1/frcpa(1+ 198/256)
+data8 0x3FE2707F4D5F7C41 //ln(1/frcpa(1+ 199/256)
+data8 0x3FE285E0842CA384 //ln(1/frcpa(1+ 200/256)
+data8 0x3FE294294708B773 //ln(1/frcpa(1+ 201/256)
+data8 0x3FE2A9A2670AFF0C //ln(1/frcpa(1+ 202/256)
+data8 0x3FE2B7FB2C8D1CC1 //ln(1/frcpa(1+ 203/256)
+data8 0x3FE2C65A6395F5F5 //ln(1/frcpa(1+ 204/256)
+data8 0x3FE2DBF557B0DF43 //ln(1/frcpa(1+ 205/256)
+data8 0x3FE2EA64C3F97655 //ln(1/frcpa(1+ 206/256)
+data8 0x3FE3001823684D73 //ln(1/frcpa(1+ 207/256)
+data8 0x3FE30E97E9A8B5CD //ln(1/frcpa(1+ 208/256)
+data8 0x3FE32463EBDD34EA //ln(1/frcpa(1+ 209/256)
+data8 0x3FE332F4314AD796 //ln(1/frcpa(1+ 210/256)
+data8 0x3FE348D90E7464D0 //ln(1/frcpa(1+ 211/256)
+data8 0x3FE35779F8C43D6E //ln(1/frcpa(1+ 212/256)
+data8 0x3FE36621961A6A99 //ln(1/frcpa(1+ 213/256)
+data8 0x3FE37C299F3C366A //ln(1/frcpa(1+ 214/256)
+data8 0x3FE38AE2171976E7 //ln(1/frcpa(1+ 215/256)
+data8 0x3FE399A157A603E7 //ln(1/frcpa(1+ 216/256)
+data8 0x3FE3AFCCFE77B9D1 //ln(1/frcpa(1+ 217/256)
+data8 0x3FE3BE9D503533B5 //ln(1/frcpa(1+ 218/256)
+data8 0x3FE3CD7480B4A8A3 //ln(1/frcpa(1+ 219/256)
+data8 0x3FE3E3C43918F76C //ln(1/frcpa(1+ 220/256)
+data8 0x3FE3F2ACB27ED6C7 //ln(1/frcpa(1+ 221/256)
+data8 0x3FE4019C2125CA93 //ln(1/frcpa(1+ 222/256)
+data8 0x3FE4181061389722 //ln(1/frcpa(1+ 223/256)
+data8 0x3FE42711518DF545 //ln(1/frcpa(1+ 224/256)
+data8 0x3FE436194E12B6BF //ln(1/frcpa(1+ 225/256)
+data8 0x3FE445285D68EA69 //ln(1/frcpa(1+ 226/256)
+data8 0x3FE45BCC464C893A //ln(1/frcpa(1+ 227/256)
+data8 0x3FE46AED21F117FC //ln(1/frcpa(1+ 228/256)
+data8 0x3FE47A1527E8A2D3 //ln(1/frcpa(1+ 229/256)
+data8 0x3FE489445EFFFCCC //ln(1/frcpa(1+ 230/256)
+data8 0x3FE4A018BCB69835 //ln(1/frcpa(1+ 231/256)
+data8 0x3FE4AF5A0C9D65D7 //ln(1/frcpa(1+ 232/256)
+data8 0x3FE4BEA2A5BDBE87 //ln(1/frcpa(1+ 233/256)
+data8 0x3FE4CDF28F10AC46 //ln(1/frcpa(1+ 234/256)
+data8 0x3FE4DD49CF994058 //ln(1/frcpa(1+ 235/256)
+data8 0x3FE4ECA86E64A684 //ln(1/frcpa(1+ 236/256)
+data8 0x3FE503C43CD8EB68 //ln(1/frcpa(1+ 237/256)
+data8 0x3FE513356667FC57 //ln(1/frcpa(1+ 238/256)
+data8 0x3FE522AE0738A3D8 //ln(1/frcpa(1+ 239/256)
+data8 0x3FE5322E26867857 //ln(1/frcpa(1+ 240/256)
+data8 0x3FE541B5CB979809 //ln(1/frcpa(1+ 241/256)
+data8 0x3FE55144FDBCBD62 //ln(1/frcpa(1+ 242/256)
+data8 0x3FE560DBC45153C7 //ln(1/frcpa(1+ 243/256)
+data8 0x3FE5707A26BB8C66 //ln(1/frcpa(1+ 244/256)
+data8 0x3FE587F60ED5B900 //ln(1/frcpa(1+ 245/256)
+data8 0x3FE597A7977C8F31 //ln(1/frcpa(1+ 246/256)
+data8 0x3FE5A760D634BB8B //ln(1/frcpa(1+ 247/256)
+data8 0x3FE5B721D295F10F //ln(1/frcpa(1+ 248/256)
+data8 0x3FE5C6EA94431EF9 //ln(1/frcpa(1+ 249/256)
+data8 0x3FE5D6BB22EA86F6 //ln(1/frcpa(1+ 250/256)
+data8 0x3FE5E6938645D390 //ln(1/frcpa(1+ 251/256)
+data8 0x3FE5F673C61A2ED2 //ln(1/frcpa(1+ 252/256)
+data8 0x3FE6065BEA385926 //ln(1/frcpa(1+ 253/256)
+data8 0x3FE6164BFA7CC06B //ln(1/frcpa(1+ 254/256)
+data8 0x3FE62643FECF9743 //ln(1/frcpa(1+ 255/256)
+//
+// [2;4)
+data8 0xBEB2CC7A38B9355F,0x3F035F2D1833BF4C // A10,A9
+data8 0xBFF51BAA7FD27785,0x3FFC9D5D5B6CDEFF // A2,A1
+data8 0xBF421676F9CB46C7,0x3F7437F2FA1436C6 // A8,A7
+data8 0xBFD7A7041DE592FE,0x3FE9F107FEE8BD29 // A4,A3
+// [4;8)
+data8 0x3F6BBBD68451C0CD,0xBF966EC3272A16F7 // A10,A9
+data8 0x40022A24A39AD769,0x4014190EDF49C8C5 // A2,A1
+data8 0x3FB130FD016EE241,0xBFC151B46E635248 // A8,A7
+data8 0x3FDE8F611965B5FE,0xBFEB5110EB265E3D // A4,A3
+// [8;16)
+data8 0x3F736EF93508626A,0xBF9FE5DBADF58AF1 // A10,A9
+data8 0x40110A9FC5192058,0x40302008A6F96B29 // A2,A1
+data8 0x3FB8E74E0CE1E4B5,0xBFC9B5DA78873656 // A8,A7
+data8 0x3FE99D0DF10022DC,0xBFF829C0388F9484 // A4,A3
+// [16;32)
+data8 0x3F7FFF9D6D7E9269,0xBFAA780A249AEDB1 // A10,A9
+data8 0x402082A807AEA080,0x4045ED9868408013 // A2,A1
+data8 0x3FC4E1E54C2F99B7,0xBFD5DE2D6FFF1490 // A8,A7
+data8 0x3FF75FC89584AE87,0xC006B4BADD886CAE // A4,A3
+// [32;64)
+data8 0x3F8CE54375841A5F,0xBFB801ABCFFA1BE2 // A10,A9
+data8 0x403040A8B1815BDA,0x405B99A917D24B7A // A2,A1
+data8 0x3FD30CAB81BFFA03,0xBFE41AEF61ECF48B // A8,A7
+data8 0x400650CC136BEC43,0xC016022046E8292B // A4,A3
+// [64;128)
+data8 0x3F9B69BD22CAA8B8,0xBFC6D48875B7A213 // A10,A9
+data8 0x40402028CCAA2F6D,0x40709AACEB3CBE0F // A2,A1
+data8 0x3FE22C6A5924761E,0xBFF342F5F224523D // A8,A7
+data8 0x4015CD405CCA331F,0xC025AAD10482C769 // A4,A3
+// [128;256)
+data8 0x3FAAAD9CD0E40D06,0xBFD63FC8505D80CB // A10,A9
+data8 0x40501008D56C2648,0x408364794B0F4376 // A2,A1
+data8 0x3FF1BE0126E00284,0xC002D8E3F6F7F7CA // A8,A7
+data8 0x40258C757E95D860,0xC0357FA8FD398011 // A4,A3
+// [256;512)
+data8 0x3FBA4DAC59D49FEB,0xBFE5F476D1C43A77 // A10,A9
+data8 0x40600800D890C7C6,0x40962C42AAEC8EF0 // A2,A1
+data8 0x40018680ECF19B89,0xC012A3EB96FB7BA4 // A8,A7
+data8 0x40356C4CDD3B60F9,0xC0456A34BF18F440 // A4,A3
+// [512;1024)
+data8 0x3FCA1B54F6225A5A,0xBFF5CD67BA10E048 // A10,A9
+data8 0x407003FED94C58C2,0x40A8F30B4ACBCD22 // A2,A1
+data8 0x40116A135EB66D8C,0xC022891B1CED527E // A8,A7
+data8 0x40455C4617FDD8BC,0xC0555F82729E59C4 // A4,A3
+// [1024;2048)
+data8 0x3FD9FFF9095C6EC9,0xC005B88CB25D76C9 // A10,A9
+data8 0x408001FE58FA734D,0x40BBB953BAABB0F3 // A2,A1
+data8 0x40215B2F9FEB5D87,0xC0327B539DEA5058 // A8,A7
+data8 0x40555444B3E8D64D,0xC0655A2B26F9FC8A // A4,A3
+// [2048;4096)
+data8 0x3FE9F065A1C3D6B1,0xC015ACF6FAE8D78D // A10,A9
+data8 0x409000FE383DD2B7,0x40CE7F5C1E8BCB8B // A2,A1
+data8 0x40315324E5DB2EBE,0xC04274194EF70D18 // A8,A7
+data8 0x4065504353FF2207,0xC075577FE1BFE7B6 // A4,A3
+// [4096;8192)
+data8 0x3FF9E6FBC6B1C70D,0xC025A62DAF76F85D // A10,A9
+data8 0x40A0007E2F61EBE8,0x40E0A2A23FB5F6C3 // A2,A1
+data8 0x40414E9BC0A0141A,0xC0527030F2B69D43 // A8,A7
+data8 0x40754E417717B45B,0xC085562A447258E5 // A4,A3
+//
+data8 0xbfdffffffffaea15 // P1
+data8 0x3FDD8B618D5AF8FE // point of local minimum on [1;2]
+data8 0x3FED67F1C864BEB5 // ln(sqrt(2*Pi))
+data8 0x4008000000000000 // 3.0
+//
+data8 0xBF9E1C289FB224AB,0x3FBF7422445C9460 // A6,A5
+data8 0xBFF01E76D66F8D8A // A0
+data8 0xBFE2788CFC6F91DA // A1 [1.0;1.25)
+data8 0x3FCB8CC69000EB5C,0xBFD41997A0C2C641 // A6,A5
+data8 0x3FFCAB0BFA0EA462 // A0
+data8 0xBFBF19B9BCC38A42 // A0 [1.25;1.5)
+data8 0x3FD51EE4DE0A364C,0xBFE00D7F98A16E4B // A6,A5
+data8 0x40210CE1F327E9E4 // A0
+data8 0x4001DB08F9DFA0CC // A0 [1.5;1.75)
+data8 0x3FE24F606742D252,0xBFEC81D7D12574EC // A6,A5
+data8 0x403BE636A63A9C27 // A0
+data8 0x4000A0CB38D6CF0A // A0 [1.75;2.0)
+data8 0x3FF1029A9DD542B4,0xBFFAD37C209D3B25 // A6,A5
+data8 0x405385E6FD9BE7EA // A0
+data8 0x478895F1C0000000 // Overflow boundary
+data8 0x400062D97D26B523,0xC00A03E1529FF023 // A6,A5
+data8 0x4069204C51E566CE,0 // A0
+data8 0x40101476B38FD501,0xC0199DE7B387C0FC // A6,A5
+data8 0x407EB8DAEC83D759,0 // A0
+data8 0x401FDB008D65125A,0xC0296B506E665581 // A6,A5
+data8 0x409226D93107EF66,0 // A0
+data8 0x402FB3EAAF3E7B2D,0xC039521142AD8E0D // A6,A5
+data8 0x40A4EFA4F072792E,0 // A0
+data8 0x403FA024C66B2563,0xC0494569F250E691 // A6,A5
+data8 0x40B7B747C9235BB8,0 // A0
+data8 0x404F9607D6DA512C,0xC0593F0B2EDDB4BC // A6,A5
+data8 0x40CA7E29C5F16DE2,0 // A0
+data8 0x405F90C5F613D98D,0xC0693BD130E50AAF // A6,A5
+data8 0x40DD4495238B190C,0 // A0
+//
+// polynomial approximation of ln(sin(Pi*x)/(Pi*x)), |x| <= 0.5
+data8 0xBFD58731A486E820,0xBFA4452CC28E15A9 // S16,S14
+data8 0xBFD013F6E1B86C4F,0xBFD5B3F19F7A341F // S8,S6
+data8 0xBFC86A0D5252E778,0xBFC93E08C9EE284B // S12,S10
+data8 0xBFE15132555C9EDD,0xBFFA51A662480E35 // S4,S2
+//
+// [1.0;1.25)
+data8 0xBFA697D6775F48EA,0x3FB9894B682A98E7 // A9,A8
+data8 0xBFCA8969253CFF55,0x3FD15124EFB35D9D // A5,A4
+data8 0xBFC1B00158AB719D,0x3FC5997D04E7F1C1 // A7,A6
+data8 0xBFD9A4D50BAFF989,0x3FEA51A661F5176A // A3,A2
+// [1.25;1.5)
+data8 0x3F838E0D35A6171A,0xBF831BBBD61313B7 // A8,A7
+data8 0x3FB08B40196425D0,0xBFC2E427A53EB830 // A4,A3
+data8 0x3F9285DDDC20D6C3,0xBFA0C90C9C223044 // A6,A5
+data8 0x3FDEF72BC8F5287C,0x3D890B3DAEBC1DFC // A2,A1
+// [1.5;1.75)
+data8 0x3F65D5A7EB31047F,0xBFA44EAC9BFA7FDE // A8,A7
+data8 0x40051FEFE7A663D8,0xC012A5CFE00A2522 // A4,A3
+data8 0x3FD0E1583AB00E08,0xBFF084AF95883BA5 // A6,A5
+data8 0x40185982877AE0A2,0xC015F83DB73B57B7 // A2,A1
+// [1.75;2.0)
+data8 0x3F4A9222032EB39A,0xBF8CBC9587EEA5A3 // A8,A7
+data8 0x3FF795400783BE49,0xC00851BC418B8A25 // A4,A3
+data8 0x3FBBC992783E8C5B,0xBFDFA67E65E89B29 // A6,A5
+data8 0x4012B408F02FAF88,0xC013284CE7CB0C39 // A2,A1
+//
+// roots
+data8 0xC003A7FC9600F86C // -2.4570247382208005860
+data8 0xC009260DBC9E59AF // -3.1435808883499798405
+data8 0xC005FB410A1BD901 // -2.7476826467274126919
+data8 0xC00FA471547C2FE5 // -3.9552942848585979085
+//
+// polynomial approximation of ln(GAMMA(x)) near roots
+// near -2.4570247382208005860
+data8 0x3FF694A6058D9592,0x40136EEBB003A92B // R3,R2
+data8 0x3FF83FE966AF5360,0x3C90323B6D1FE86D // R1,R0
+// near -3.1435808883499798405
+data8 0x405C11371268DA38,0x4039D4D2977D2C23 // R3,R2
+data8 0x401F20A65F2FAC62,0x3CDE9605E3AE7A62 // R1,R0
+// near -2.7476826467274126919
+data8 0xC034185AC31314FF,0x4023267F3C28DFE3 // R3,R2
+data8 0xBFFEA12DA904B194,0x3CA8FB8530BA7689 // R1,R0
+// near -2.7476826467274126919
+data8 0xC0AD25359E70C888,0x406F76DEAEA1B8C6 // R3,R2
+data8 0xC034B99D966C5644,0xBCBDDC0336980B58 // R1,R0
+LOCAL_OBJECT_END(lgammaf_data)
+
+//*********************************************************************
+
+.section .text
+GLOBAL_LIBM_ENTRY(__libm_lgammaf)
+{ .mfi
+      getf.exp      GR_SignExp = f8
+      frcpa.s1      FR_InvX,p0 = f1,f8
+      mov           GR_ExpOf2 = 0x10000
+}
+{ .mfi
+      addl          GR_ad_Data = @ltoff(lgammaf_data),gp
+      fcvt.fx.s1    FR_int_N = f8
+      mov           GR_ExpMask = 0x1ffff
+};;
+{ .mfi
+      getf.sig      GR_Sig = f8
+      fclass.m      p13,p0 = f8,0x1EF // is x NaTVal, NaN,
+                                      // +/-0, +/-INF or +/-deno?
+      mov           GR_ExpBias = 0xffff
+}
+{ .mfi
+      ld8           GR_ad_Data = [GR_ad_Data]
+      fma.s1        FR_Xp1 = f8,f1,f1
+      mov           GR_StirlBound = 0x1000C
+};;
+{ .mfi
+      setf.exp      FR_2 = GR_ExpOf2
+      fmerge.se     FR_x = f1,f8
+      dep.z         GR_Ind = GR_SignExp,3,4
+}
+{ .mfi
+      cmp.eq        p8,p0 = GR_SignExp,GR_ExpBias
+      fcvt.fx.trunc.s1 FR_int_Ntrunc = f8
+      and           GR_Exp = GR_ExpMask,GR_SignExp
+};;
+{ .mfi
+      add           GR_ad_C650 = 0xB20,GR_ad_Data
+      fcmp.lt.s1    p14,p15 = f8,f0
+      extr.u        GR_Ind4T = GR_Sig,55,8
+}
+{ .mfb
+      sub           GR_PureExp = GR_Exp,GR_ExpBias
+      fnorm.s1      FR_NormX = f8
+      // jump if x is NaTVal, NaN, +/-0, +/-INF or +/-deno
+(p13) br.cond.spnt  lgammaf_spec
+};;
+lgammaf_core:
+{ .mfi
+      ldfpd         FR_P1,FR_LocalMin = [GR_ad_C650],16
+      fms.s1        FR_xm2 = f8,f1,f1
+      add           GR_ad_Co = 0x820,GR_ad_Data
+}
+{ .mib
+      ldfpd         FR_P3,FR_P2 = [GR_ad_Data],16
+      cmp.ltu       p9,p0 = GR_SignExp,GR_ExpBias
+      // jump if x is from the interval [1; 2)
+(p8)  br.cond.spnt  lgammaf_1_2
+};;
+{ .mfi
+      setf.sig      FR_int_Ln = GR_PureExp
+      fms.s1        FR_r = FR_InvX,f8,f1
+      shladd        GR_ad_Co = GR_Ind,3,GR_ad_Co
+}
+{ .mib
+      ldfpd         FR_LnSqrt2Pi,FR_3 = [GR_ad_C650],16
+      cmp.lt        p13,p12 = GR_Exp,GR_StirlBound
+      // jump if x is from the interval (0; 1)
+(p9)  br.cond.spnt  lgammaf_0_1
+};;
+{ .mfi
+      ldfpd         FR_Ln2,FR_05 = [GR_ad_Data],16
+      fma.s1        FR_Xp2 = f1,f1,FR_Xp1 // (x+2)
+      shladd        GR_ad_C650 = GR_Ind,2,GR_ad_C650
+}
+{ .mfi
+      add           GR_ad_Ce = 0x20,GR_ad_Co
+      nop.f         0
+      add           GR_ad_C43 = 0x30,GR_ad_Co
+};;
+{ .mfi
+      // load coefficients of polynomial approximation
+      // of ln(GAMMA(x)), 2 <= x < 2^13
+(p13) ldfpd         FR_A10,FR_A9 = [GR_ad_Co],16
+      fcvt.xf       FR_N = FR_int_N
+      cmp.eq.unc    p6,p7 = GR_ExpOf2,GR_SignExp
+}
+{ .mib
+(p13) ldfpd         FR_A8,FR_A7 = [GR_ad_Ce]
+(p14) cmp.le.unc    p9,p0 = GR_StirlBound,GR_Exp
+      // jump if x is less or equal to -2^13
+(p9)  br.cond.spnt  lgammaf_negstirling
+};;
+.pred.rel "mutex",p6,p7
+{ .mfi
+(p13) ldfpd         FR_A6,FR_A5 = [GR_ad_C650],16
+(p6)  fma.s1        FR_x = f0,f0,FR_NormX
+      shladd        GR_ad_T = GR_Ind4T,3,GR_ad_Data
+}
+{ .mfi
+(p13) ldfpd         FR_A4,FR_A3 = [GR_ad_C43]
+(p7)  fms.s1        FR_x = FR_x,f1,f1
+(p14) mov           GR_ReqBound = 0x20005
+};;
+{ .mfi
+(p13) ldfpd         FR_A2,FR_A1 = [GR_ad_Co],16
+      fms.s1        FR_xm2 = FR_xm2,f1,f1
+(p14) extr.u        GR_Arg = GR_Sig,60,4
+}
+{ .mfi
+      mov           GR_SignOfGamma = 1 // set sign of gamma(x) to 1
+      fcvt.xf       FR_Ntrunc = FR_int_Ntrunc
+      nop.i         0
+};;
+{ .mfi
+      ldfd          FR_T = [GR_ad_T]
+      fma.s1        FR_r2 = FR_r,FR_r,f0
+      shl           GR_ReqBound = GR_ReqBound,3
+}
+{ .mfi
+      add           GR_ad_Co = 0xCA0,GR_ad_Data
+      fnma.s1       FR_Req = FR_Xp1,FR_NormX,f0 // -x*(x+1)
+(p14) shladd        GR_Arg = GR_Exp,4,GR_Arg
+};;
+{ .mfi
+(p13) ldfd          FR_A0 = [GR_ad_C650]
+      fma.s1        FR_Xp3 = FR_2,f1,FR_Xp1 // (x+3)
+(p14) cmp.le.unc    p9,p0 = GR_Arg,GR_ReqBound
+}
+{ .mfi
+(p14) add           GR_ad_Ce = 0x20,GR_ad_Co
+      fma.s1        FR_Xp4 = FR_2,FR_2,FR_NormX // (x+4)
+(p15) add           GR_ad_OvfBound = 0xBB8,GR_ad_Data
+};;
+{ .mfi
+      // load coefficients of polynomial approximation
+      // of ln(sin(Pi*xf)/(Pi*xf)), |xf| <= 0.5
+(p14) ldfpd         FR_S16,FR_S14 = [GR_ad_Co],16
+(p14) fms.s1        FR_Xf = FR_NormX,f1,FR_N  // xf = x - [x]
+(p14) sub           GR_SignOfGamma = r0,GR_SignOfGamma // set sign of
+                                                       // gamma(x) to -1
+}
+{ .mfb
+(p14) ldfpd         FR_S12,FR_S10 = [GR_ad_Ce],16
+      fma.s1        FR_Xp5 = FR_2,FR_2,FR_Xp1 // (x+5)
+      // jump if x is from the interval (-9; 0)
+(p9)  br.cond.spnt  lgammaf_negrecursion
+};;
+{ .mfi
+(p14) ldfpd         FR_S8,FR_S6 = [GR_ad_Co],16
+      fma.s1        FR_P32 = FR_P3,FR_r,FR_P2
+      nop.i         0
+}
+{ .mfb
+(p14) ldfpd         FR_S4,FR_S2 = [GR_ad_Ce],16
+      fma.s1        FR_x2 = FR_x,FR_x,f0
+      // jump if x is from the interval (-2^13; -9)
+(p14) br.cond.spnt  lgammaf_negpoly
+};;
+{ .mfi
+      ldfd          FR_OverflowBound = [GR_ad_OvfBound]
+(p12) fcvt.xf       FR_N = FR_int_Ln
+      // set p9  if signgum is 32-bit int
+      // set p10 if signgum is 64-bit int
+      cmp.eq        p10,p9 = 8,r34
+}
+{ .mfi
+      nop.m         0
+(p12) fma.s1        FR_P10 = FR_P1,FR_r,f1
+      nop.i         0
+};;
+.pred.rel "mutex",p6,p7
+.pred.rel "mutex",p9,p10
+{ .mfi
+      // store sign of gamma(x) as 32-bit int
+(p9)  st4           [r33] = GR_SignOfGamma
+(p6)  fma.s1        FR_xx = FR_x,FR_xm2,f0
+      nop.i         0
+}
+{ .mfi
+      // store sign of gamma(x) as 64-bit int
+(p10) st8           [r33] = GR_SignOfGamma
+(p7)  fma.s1        FR_xx = f0,f0,FR_x
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+(p13) fma.s1        FR_A9 = FR_A10,FR_x,FR_A9
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+(p13) fma.s1        FR_A7 = FR_A8,FR_x,FR_A7
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+(p13) fma.s1        FR_A5 = FR_A6,FR_x,FR_A5
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+(p13) fma.s1        FR_A3 = FR_A4,FR_x,FR_A3
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+(p15) fcmp.eq.unc.s1 p8,p0 = FR_NormX,FR_2 // is input argument 2.0?
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+(p13) fma.s1        FR_A1 = FR_A2,FR_x,FR_A1
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+(p12) fma.s1        FR_T = FR_N,FR_Ln2,FR_T
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+(p12) fma.s1        FR_P32 = FR_P32,FR_r2,FR_P10
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+(p13) fma.s1        FR_x4 = FR_x2,FR_x2,f0
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+(p13) fma.s1        FR_x3 = FR_x2,FR_xx,f0
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+(p13) fma.s1        FR_A7 = FR_A9,FR_x2,FR_A7
+      nop.i         0
+}
+{ .mfb
+      nop.m         0
+(p8)  fma.s.s0      f8 = f0,f0,f0
+(p8)  br.ret.spnt   b0 // fast exit for 2.0
+};;
+{ .mfi
+      nop.m         0
+(p6)  fma.s1        FR_A0 = FR_A0,FR_xm2,f0
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+(p13) fma.s1        FR_A3 = FR_A5,FR_x2,FR_A3
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+(p15) fcmp.le.unc.s1 p8,p0 = FR_OverflowBound,FR_NormX // overflow test
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+(p12) fms.s1        FR_xm05 = FR_NormX,f1,FR_05
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+(p12) fma.s1        FR_Ln = FR_P32,FR_r,FR_T
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+(p12) fms.s1        FR_LnSqrt2Pi = FR_LnSqrt2Pi,f1,FR_NormX
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+(p13) fma.s1        FR_A0 = FR_A1,FR_xx,FR_A0
+      nop.i         0
+}
+{ .mfb
+      nop.m         0
+(p13) fma.s1        FR_A3 = FR_A7,FR_x4,FR_A3
+      // jump if result overflows
+(p8)  br.cond.spnt  lgammaf_overflow
+};;
+.pred.rel "mutex",p12,p13
+{ .mfi
+      nop.m         0
+(p12) fma.s.s0      f8 = FR_Ln,FR_xm05,FR_LnSqrt2Pi
+      nop.i         0
+}
+{ .mfb
+      nop.m         0
+(p13) fma.s.s0      f8 = FR_A3,FR_x3,FR_A0
+      br.ret.sptk   b0
+};;
+// branch for calculating of ln(GAMMA(x)) for 0 < x < 1
+//---------------------------------------------------------------------
+.align 32
+lgammaf_0_1:
+{ .mfi
+      getf.sig      GR_Ind = FR_Xp1
+      fma.s1        FR_r2 = FR_r,FR_r,f0
+      mov           GR_fff7 = 0xFFF7
+}
+{ .mfi
+      ldfpd         FR_Ln2,FR_05 = [GR_ad_Data],16
+      fma.s1        FR_P32 = FR_P3,FR_r,FR_P2
+      // input argument cann't be equal to 1.0
+      cmp.eq        p0,p14 = r0,r0
+};;
+{ .mfi
+      getf.exp      GR_Exp = FR_w
+      fcvt.xf       FR_N = FR_int_Ln
+      add           GR_ad_Co = 0xCE0,GR_ad_Data
+}
+{ .mfi
+      shladd        GR_ad_T = GR_Ind4T,3,GR_ad_Data
+      fma.s1        FR_P10 = FR_P1,FR_r,f1
+      add           GR_ad_Ce = 0xD00,GR_ad_Data
+};;
+{ .mfi
+      ldfd          FR_T = [GR_ad_T]
+      fma.s1        FR_w2 = FR_w,FR_w,f0
+      extr.u        GR_Ind = GR_Ind,61,2
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_Q32 = FR_P3,FR_w,FR_P2
+////      add           GR_ad_C0 = 0xB30,GR_ad_Data
+      add           GR_ad_C0 = 0xB38,GR_ad_Data
+};;
+{ .mfi
+      and           GR_Exp = GR_Exp,GR_ExpMask
+      nop.f         0
+      shladd        GR_IndX8 = GR_Ind,3,r0
+}
+{ .mfi
+      shladd        GR_IndX2 = GR_Ind,1,r0
+      fma.s1        FR_Q10 = FR_P1,FR_w,f1
+      cmp.eq        p6,p15 = 0,GR_Ind
+};;
+{ .mfi
+      shladd        GR_ad_Co = GR_IndX8,3,GR_ad_Co
+(p6)  fma.s1        FR_x = f0,f0,FR_NormX
+      shladd        GR_ad_C0 = GR_IndX2,4,GR_ad_C0
+}
+{ .mfi
+      shladd        GR_ad_Ce = GR_IndX8,3,GR_ad_Ce
+      nop.f         0
+(p15) cmp.eq.unc    p7,p8 = 1,GR_Ind
+};;
+.pred.rel "mutex",p7,p8
+{ .mfi
+      ldfpd         FR_A8,FR_A7 = [GR_ad_Co],16
+(p7)  fms.s1        FR_x = FR_NormX,f1,FR_LocalMin
+      cmp.ge        p10,p11 = GR_Exp,GR_fff7
+}
+{ .mfb
+      ldfpd         FR_A6,FR_A5 = [GR_ad_Ce],16
+(p8)  fma.s1        FR_x = f1,f1,FR_NormX
+      br.cond.sptk  lgamma_0_2_core
+};;
+// branch for calculating of ln(GAMMA(x)) for 1 <= x < 2
+//---------------------------------------------------------------------
+.align 32
+lgammaf_1_2:
+{ .mfi
+      add           GR_ad_Co = 0xCF0,GR_ad_Data
+      fcmp.eq.s1    p14,p0 = f1,FR_NormX // is input argument 1.0?
+      extr.u        GR_Ind = GR_Sig,61,2
+}
+{ .mfi
+      add           GR_ad_Ce = 0xD10,GR_ad_Data
+      nop.f         0
+////      add           GR_ad_C0 = 0xB40,GR_ad_Data
+      add           GR_ad_C0 = 0xB48,GR_ad_Data
+};;
+{ .mfi
+      shladd        GR_IndX8 = GR_Ind,3,r0
+      nop.f         0
+      shladd        GR_IndX2 = GR_Ind,1,r0
+}
+{ .mfi
+      cmp.eq        p6,p15 = 0,GR_Ind // p6 <- x from [1;1.25)
+      nop.f         0
+      cmp.ne        p9,p0 = r0,r0
+};;
+{ .mfi
+      shladd        GR_ad_Co = GR_IndX8,3,GR_ad_Co
+(p6)  fms.s1        FR_x = FR_NormX,f1,f1 // reduced x for [1;1.25)
+      shladd        GR_ad_C0 = GR_IndX2,4,GR_ad_C0
+}
+{ .mfi
+      shladd        GR_ad_Ce = GR_IndX8,3,GR_ad_Ce
+(p14) fma.s.s0      f8 = f0,f0,f0
+(p15) cmp.eq.unc    p7,p8 = 1,GR_Ind // p7 <- x from [1.25;1.5)
+};;
+.pred.rel "mutex",p7,p8
+{ .mfi
+      ldfpd         FR_A8,FR_A7 = [GR_ad_Co],16
+(p7)  fms.s1        FR_x = FR_xm2,f1,FR_LocalMin
+      nop.i         0
+}
+{ .mfi
+      ldfpd         FR_A6,FR_A5 = [GR_ad_Ce],16
+(p8)  fma.s1        FR_x = f0,f0,FR_NormX
+(p9)  cmp.eq.unc    p10,p11 = r0,r0
+};;
+lgamma_0_2_core:
+{ .mmi
+      ldfpd         FR_A4,FR_A3 = [GR_ad_Co],16
+      ldfpd         FR_A2,FR_A1 = [GR_ad_Ce],16
+      mov           GR_SignOfGamma = 1 // set sign of gamma(x) to 1
+};;
+{ .mfi
+//      add           GR_ad_C0 = 8,GR_ad_C0
+      ldfd          FR_A0 = [GR_ad_C0]
+      nop.f         0
+      // set p13 if signgum is 32-bit int
+      // set p15 if signgum is 64-bit int
+      cmp.eq        p15,p13 = 8,r34
+};;
+.pred.rel "mutex",p13,p15
+{ .mmf
+      // store sign of gamma(x)
+(p13) st4           [r33] = GR_SignOfGamma // as 32-bit int
+(p15) st8           [r33] = GR_SignOfGamma // as 64-bit int
+(p11) fma.s1        FR_Q32 = FR_Q32,FR_w2,FR_Q10
+};;
+{ .mfb
+      nop.m         0
+(p10) fma.s1        FR_P32 = FR_P32,FR_r2,FR_P10
+(p14) br.ret.spnt   b0 // fast exit for 1.0
+};;
+{ .mfi
+      nop.m         0
+(p10) fma.s1        FR_T = FR_N,FR_Ln2,FR_T
+      cmp.eq        p6,p7 = 0,GR_Ind // p6 <- x from [1;1.25)
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_x2 = FR_x,FR_x,f0
+      cmp.eq        p8,p0 = r0,r0 // set p8 to 1 that means we on [1;2]
+};;
+{ .mfi
+      nop.m         0
+(p11) fma.s1        FR_Ln = FR_Q32,FR_w,f0
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      nop.f         0
+      nop.i         0
+};;
+.pred.rel "mutex",p6,p7
+{ .mfi
+      nop.m         0
+(p6)  fma.s1        FR_xx = f0,f0,FR_x
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+(p7)  fma.s1        FR_xx = f0,f0,f1
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_A7 = FR_A8,FR_x,FR_A7
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_A5 = FR_A6,FR_x,FR_A5
+(p9)  cmp.ne        p8,p0 = r0,r0 // set p8 to 0 that means we on [0;1]
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_A3 = FR_A4,FR_x,FR_A3
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_A1 = FR_A2,FR_x,FR_A1
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_x4 = FR_x2,FR_x2,f0
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+(p10) fma.s1        FR_Ln = FR_P32,FR_r,FR_T
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_A5 = FR_A7,FR_x2,FR_A5
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_A1 = FR_A3,FR_x2,FR_A1
+      nop.i         0
+};;
+.pred.rel "mutex",p9,p8
+{ .mfi
+      nop.m         0
+(p9)  fms.d.s1      FR_A0 = FR_A0,FR_xx,FR_Ln
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+(p8)  fms.s1        FR_A0 = FR_A0,FR_xx,f0
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.d.s1      FR_A1 = FR_A5,FR_x4,FR_A1
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      nop.f         0
+      nop.i         0
+};;
+.pred.rel "mutex",p6,p7
+{ .mfi
+      nop.m         0
+(p6)  fma.s.s0      f8 = FR_A1,FR_x2,FR_A0
+      nop.i         0
+}
+{ .mfb
+      nop.m         0
+(p7)  fma.s.s0      f8 = FR_A1,FR_x,FR_A0
+      br.ret.sptk   b0
+};;
+// branch for calculating of ln(GAMMA(x)) for -9 < x < 1
+//---------------------------------------------------------------------
+.align 32
+lgammaf_negrecursion:
+{ .mfi
+      getf.sig      GR_N = FR_int_Ntrunc
+      fms.s1        FR_1pXf = FR_Xp2,f1,FR_Ntrunc // 1 + (x+1) - [x]
+      mov           GR_Neg2 = 2
+}
+{ .mfi
+      add           GR_ad_Co = 0xCE0,GR_ad_Data
+      fms.s1        FR_Xf = FR_Xp1,f1,FR_Ntrunc // (x+1) - [x]
+      mov           GR_Neg4 = 4
+};;
+{ .mfi
+      add           GR_ad_Ce = 0xD00,GR_ad_Data
+      fma.s1        FR_Xp6 = FR_2,FR_2,FR_Xp2 // (x+6)
+      add           GR_ad_C0 = 0xB30,GR_ad_Data
+}
+{ .mfi
+      sub           GR_Neg2 = r0,GR_Neg2
+      fma.s1        FR_Xp7 = FR_2,FR_3,FR_Xp1 // (x+7)
+      sub           GR_Neg4 = r0,GR_Neg4
+};;
+{ .mfi
+      cmp.ne        p8,p0 = r0,GR_N
+      fcmp.eq.s1    p13,p0 = FR_NormX,FR_Ntrunc
+      and           GR_IntNum = 0xF,GR_N
+}
+{ .mfi
+      cmp.lt        p6,p0 = GR_N,GR_Neg2
+      fma.s1        FR_Xp8 = FR_2,FR_3,FR_Xp2 // (x+8)
+      cmp.lt        p7,p0 = GR_N,GR_Neg4
+};;
+{ .mfi
+      getf.d        GR_Arg = FR_NormX
+(p6)  fma.s1        FR_Xp2 = FR_Xp2,FR_Xp3,f0
+(p8)  tbit.z.unc    p14,p15 = GR_IntNum,0
+}
+{ .mfi
+      sub           GR_RootInd = 0xE,GR_IntNum
+(p7)  fma.s1        FR_Xp4 = FR_Xp4,FR_Xp5,f0
+      add           GR_ad_Root = 0xDE0,GR_ad_Data
+};;
+{ .mfi
+      shladd        GR_ad_Root = GR_RootInd,3,GR_ad_Root
+      fms.s1        FR_x = FR_Xp1,f1,FR_Ntrunc // (x+1) - [x]
+      nop.i         0
+}
+{ .mfb
+      nop.m         0
+      nop.f         0
+(p13) br.cond.spnt  lgammaf_singularity
+};;
+.pred.rel "mutex",p14,p15
+{ .mfi
+      cmp.gt        p6,p0 = 0xA,GR_IntNum
+(p14) fma.s1        FR_Req = FR_Req,FR_Xf,f0
+      cmp.gt        p7,p0 = 0xD,GR_IntNum
+}
+{ .mfi
+(p15) mov           GR_SignOfGamma = 1 // set sign of gamma(x) to 1
+(p15) fnma.s1       FR_Req = FR_Req,FR_Xf,f0
+      cmp.leu       p0,p13 = 2,GR_RootInd
+};;
+{ .mfi
+      nop.m         0
+(p6)  fma.s1        FR_Xp6 = FR_Xp6,FR_Xp7,f0
+(p13) add           GR_ad_RootCo = 0xE00,GR_ad_Data
+};;
+{ .mfi
+      nop.m         0
+      fcmp.eq.s1    p12,p11 = FR_1pXf,FR_2
+      nop.i         0
+};;
+{ .mfi
+      getf.sig      GR_Sig = FR_1pXf
+      fcmp.le.s1    p9,p0 = FR_05,FR_Xf
+      nop.i         0
+}
+{ .mfi
+(p13) shladd        GR_RootInd = GR_RootInd,4,r0
+(p7)  fma.s1        FR_Xp2 = FR_Xp2,FR_Xp4,f0
+(p8)  cmp.gt.unc    p10,p0 = 0x9,GR_IntNum
+};;
+.pred.rel "mutex",p11,p12
+{ .mfi
+      nop.m         0
+(p10) fma.s1        FR_Req = FR_Req,FR_Xp8,f0
+(p11) extr.u        GR_Ind = GR_Sig,61,2
+}
+{ .mfi
+(p13) add           GR_RootInd = GR_RootInd,GR_RootInd
+      nop.f         0
+(p12) mov           GR_Ind = 3
+};;
+{ .mfi
+      shladd        GR_IndX2 = GR_Ind,1,r0
+      nop.f         0
+      cmp.gt        p14,p0 = 2,GR_Ind
+}
+{ .mfi
+      shladd        GR_IndX8 = GR_Ind,3,r0
+      nop.f         0
+      cmp.eq        p6,p0 = 1,GR_Ind
+};;
+.pred.rel "mutex",p6,p9
+{ .mfi
+      shladd        GR_ad_Co = GR_IndX8,3,GR_ad_Co
+(p6)  fms.s1        FR_x = FR_Xf,f1,FR_LocalMin
+      cmp.gt        p10,p0 = 0xB,GR_IntNum
+}
+{ .mfi
+      shladd        GR_ad_Ce = GR_IndX8,3,GR_ad_Ce
+(p9)  fma.s1        FR_x = f0,f0,FR_1pXf
+      shladd        GR_ad_C0 = GR_IndX2,4,GR_ad_C0
+};;
+{ .mfi
+      // load coefficients of polynomial approximation
+      // of ln(GAMMA(x)), 1 <= x < 2
+      ldfpd         FR_A8,FR_A7 = [GR_ad_Co],16
+(p10) fma.s1        FR_Xp2 = FR_Xp2,FR_Xp6,f0
+      add           GR_ad_C0 = 8,GR_ad_C0
+}
+{ .mfi
+      ldfpd         FR_A6,FR_A5 = [GR_ad_Ce],16
+      nop.f         0
+(p14) add           GR_ad_Root = 0x10,GR_ad_Root
+};;
+{ .mfi
+      ldfpd         FR_A4,FR_A3 = [GR_ad_Co],16
+      nop.f         0
+      add           GR_ad_RootCe = 0xE10,GR_ad_Data
+}
+{ .mfi
+      ldfpd         FR_A2,FR_A1 = [GR_ad_Ce],16
+      nop.f         0
+(p14) add           GR_RootInd = 0x40,GR_RootInd
+};;
+{ .mmi
+      ldfd          FR_A0 = [GR_ad_C0]
+(p13) add           GR_ad_RootCo = GR_ad_RootCo,GR_RootInd
+(p13) add           GR_ad_RootCe = GR_ad_RootCe,GR_RootInd
+};;
+{ .mmi
+(p13) ld8           GR_Root = [GR_ad_Root]
+(p13) ldfd          FR_Root = [GR_ad_Root]
+      mov           GR_ExpBias = 0xffff
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_x2 = FR_x,FR_x,f0
+      nop.i         0
+}
+{ .mlx
+(p8)  cmp.gt.unc    p10,p0 = 0xF,GR_IntNum
+      movl          GR_Dx = 0x000000014F8B588E
+};;
+{ .mfi
+      // load coefficients of polynomial approximation
+      // of ln(GAMMA(x)), x is close to one of negative roots
+(p13) ldfpd         FR_R3,FR_R2 = [GR_ad_RootCo]
+      // argumenth for logarithm
+(p10) fma.s1        FR_Req = FR_Req,FR_Xp2,f0
+      mov           GR_ExpMask = 0x1ffff
+}
+{ .mfi
+(p13) ldfpd         FR_R1,FR_R0 = [GR_ad_RootCe]
+      nop.f         0
+      // set p9 if signgum is 32-bit int
+      // set p8 if signgum is 64-bit int
+      cmp.eq        p8,p9 = 8,r34
+};;
+.pred.rel "mutex",p9,p8
+{ .mfi
+(p9)  st4           [r33] = GR_SignOfGamma // as 32-bit int
+      fma.s1        FR_A7 = FR_A8,FR_x,FR_A7
+(p13) sub           GR_Root = GR_Arg,GR_Root
+}
+{ .mfi
+(p8)  st8           [r33] = GR_SignOfGamma // as 64-bit int
+      fma.s1        FR_A5 = FR_A6,FR_x,FR_A5
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fms.s1        FR_w = FR_Req,f1,f1
+(p13) add           GR_Root = GR_Root,GR_Dx
+}
+{ .mfi
+      nop.m         0
+      nop.f         0
+(p13) add           GR_2xDx = GR_Dx,GR_Dx
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_A3 = FR_A4,FR_x,FR_A3
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_A1 = FR_A2,FR_x,FR_A1
+(p13) cmp.leu.unc   p10,p0 = GR_Root,GR_2xDx
+};;
+{ .mfi
+      nop.m         0
+      frcpa.s1      FR_InvX,p0 = f1,FR_Req
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+(p10) fms.s1        FR_rx = FR_NormX,f1,FR_Root
+      nop.i         0
+};;
+{ .mfi
+      getf.exp      GR_SignExp = FR_Req
+      fma.s1        FR_x4 = FR_x2,FR_x2,f0
+      nop.i         0
+};;
+{ .mfi
+      getf.sig      GR_Sig = FR_Req
+      fma.s1        FR_A5 = FR_A7,FR_x2,FR_A5
+      nop.i         0
+};;
+{ .mfi
+      sub           GR_PureExp = GR_SignExp,GR_ExpBias
+      fma.s1        FR_w2 = FR_w,FR_w,f0
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_Q32 = FR_P3,FR_w,FR_P2
+      nop.i         0
+};;
+{ .mfi
+      setf.sig      FR_int_Ln = GR_PureExp
+      fma.s1        FR_A1 = FR_A3,FR_x2,FR_A1
+      extr.u        GR_Ind4T = GR_Sig,55,8
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_Q10 = FR_P1,FR_w,f1
+      nop.i         0
+};;
+{ .mfi
+      shladd        GR_ad_T = GR_Ind4T,3,GR_ad_Data
+      fms.s1        FR_r = FR_InvX,FR_Req,f1
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+(p10) fms.s1        FR_rx2 = FR_rx,FR_rx,f0
+      nop.i         0
+};;
+{ .mfi
+      ldfd          FR_T = [GR_ad_T]
+(p10) fma.s1        FR_R2 = FR_R3,FR_rx,FR_R2
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+(p10) fma.s1        FR_R0 = FR_R1,FR_rx,FR_R0
+      nop.i         0
+};;
+{ .mfi
+      getf.exp      GR_Exp = FR_w
+      fma.s1        FR_A1 = FR_A5,FR_x4,FR_A1
+      mov           GR_ExpMask = 0x1ffff
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_Q32 = FR_Q32, FR_w2,FR_Q10
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_r2 = FR_r,FR_r,f0
+      mov           GR_fff7 = 0xFFF7
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_P32 = FR_P3,FR_r,FR_P2
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_P10 = FR_P1,FR_r,f1
+      and           GR_Exp = GR_ExpMask,GR_Exp
+}
+{ .mfb
+      nop.m         0
+(p10) fma.s.s0      f8 = FR_R2,FR_rx2,FR_R0
+(p10) br.ret.spnt   b0 // exit for arguments close to negative roots
+};;
+{ .mfi
+      nop.m         0
+      fcvt.xf       FR_N = FR_int_Ln
+      nop.i         0
+}
+{ .mfi
+      cmp.ge        p14,p15 = GR_Exp,GR_fff7
+      nop.f         0
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_A0 = FR_A1,FR_x,FR_A0
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+(p15) fma.s1        FR_Ln = FR_Q32,FR_w,f0
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+(p14) fma.s1        FR_P32 = FR_P32,FR_r2,FR_P10
+      cmp.eq        p6,p7 = 0,GR_Ind
+};;
+{ .mfi
+      nop.m         0
+(p14) fma.s1        FR_T = FR_N,FR_Ln2,FR_T
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+(p14) fma.s1        FR_Ln = FR_P32,FR_r,FR_T
+      nop.i         0
+};;
+.pred.rel "mutex",p6,p7
+{ .mfi
+      nop.m         0
+(p6)  fms.s.s0      f8 = FR_A0,FR_x,FR_Ln
+      nop.i         0
+}
+{ .mfb
+      nop.m         0
+(p7)  fms.s.s0      f8 = FR_A0,f1,FR_Ln
+      br.ret.sptk   b0
+};;
+
+// branch for calculating of ln(GAMMA(x)) for x < -2^13
+//---------------------------------------------------------------------
+.align 32
+lgammaf_negstirling:
+{ .mfi
+      shladd        GR_ad_T = GR_Ind4T,3,GR_ad_Data
+      fms.s1        FR_Xf = FR_NormX,f1,FR_N  // xf = x - [x]
+      mov           GR_SingBound = 0x10016
+}
+{ .mfi
+      add           GR_ad_Co = 0xCA0,GR_ad_Data
+      fma.s1        FR_P32 = FR_P3,FR_r,FR_P2
+      nop.i         0
+};;
+{ .mfi
+      ldfd          FR_T = [GR_ad_T]
+      fcvt.xf       FR_int_Ln = FR_int_Ln
+      cmp.le        p6,p0 = GR_SingBound,GR_Exp
+}
+{ .mfb
+      add           GR_ad_Ce = 0x20,GR_ad_Co
+      fma.s1        FR_r2 = FR_r,FR_r,f0
+(p6)  br.cond.spnt  lgammaf_singularity
+};;
+{ .mfi
+      // load coefficients of polynomial approximation
+      // of ln(sin(Pi*xf)/(Pi*xf)), |xf| <= 0.5
+      ldfpd         FR_S16,FR_S14 = [GR_ad_Co],16
+      fma.s1        FR_P10 = FR_P1,FR_r,f1
+      nop.i         0
+}
+{ .mfi
+      ldfpd         FR_S12,FR_S10 = [GR_ad_Ce],16
+      fms.s1        FR_xm05 = FR_NormX,f1,FR_05
+      nop.i         0
+};;
+{ .mmi
+      ldfpd         FR_S8,FR_S6 = [GR_ad_Co],16
+      ldfpd         FR_S4,FR_S2 = [GR_ad_Ce],16
+      nop.i         0
+};;
+{ .mfi
+      getf.sig      GR_N = FR_int_Ntrunc // signgam calculation
+      fma.s1        FR_Xf2 = FR_Xf,FR_Xf,f0
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      frcpa.s1      FR_InvXf,p0 = f1,FR_Xf
+      nop.i         0
+};;
+{ .mfi
+      getf.d        GR_Arg = FR_Xf
+      fcmp.eq.s1    p6,p0 = FR_NormX,FR_N
+      mov           GR_ExpBias = 0x3FF
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_T = FR_int_Ln,FR_Ln2,FR_T
+      extr.u        GR_Exp = GR_Arg,52,11
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_P32 = FR_P32,FR_r2,FR_P10
+      nop.i         0
+};;
+{ .mfi
+      sub           GR_PureExp = GR_Exp,GR_ExpBias
+      fma.s1        FR_S14 = FR_S16,FR_Xf2,FR_S14
+      extr.u        GR_Ind4T = GR_Arg,44,8
+}
+{ .mfb
+      mov           GR_SignOfGamma = 1 // set signgam to -1
+      fma.s1        FR_S10 = FR_S12,FR_Xf2,FR_S10
+(p6)  br.cond.spnt  lgammaf_singularity
+};;
+{ .mfi
+      setf.sig      FR_int_Ln = GR_PureExp
+      fms.s1        FR_rf = FR_InvXf,FR_Xf,f1
+      // set p14 if GR_N is even
+      tbit.z        p14,p0 = GR_N,0
+}
+{ .mfi
+      shladd        GR_ad_T = GR_Ind4T,3,GR_ad_Data
+      fma.s1        FR_Xf4 = FR_Xf2,FR_Xf2,f0
+      nop.i         0
+};;
+{ .mfi
+(p14) sub           GR_SignOfGamma = r0,GR_SignOfGamma // set signgam to -1
+      fma.s1        FR_S6 = FR_S8,FR_Xf2,FR_S6
+      nop.i         0
+}
+{ .mfi
+      // set p9  if signgum is 32-bit int
+      // set p10 if signgum is 64-bit int
+      cmp.eq        p10,p9 = 8,r34
+      fma.s1        FR_S2 = FR_S4,FR_Xf2,FR_S2
+      nop.i         0
+};;
+{ .mfi
+      ldfd          FR_Tf = [GR_ad_T]
+      fma.s1        FR_Ln = FR_P32,FR_r,FR_T
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_LnSqrt2Pi = FR_LnSqrt2Pi,f1,FR_NormX
+      nop.i         0
+};;
+.pred.rel "mutex",p9,p10
+{ .mfi
+(p9)  st4           [r33] = GR_SignOfGamma  // as 32-bit int
+      fma.s1        FR_rf2 = FR_rf,FR_rf,f0
+      nop.i         0
+}
+{ .mfi
+(p10) st8           [r33] = GR_SignOfGamma  // as 64-bit int
+      fma.s1        FR_S10 = FR_S14,FR_Xf4,FR_S10
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_P32f = FR_P3,FR_rf,FR_P2
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_Xf8 = FR_Xf4,FR_Xf4,f0
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_P10f = FR_P1,FR_rf,f1
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_S2 = FR_S6,FR_Xf4,FR_S2
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fms.s1        FR_Ln = FR_Ln,FR_xm05,FR_LnSqrt2Pi
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fcvt.xf       FR_Nf = FR_int_Ln
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_S2 = FR_S10,FR_Xf8,FR_S2
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_Tf = FR_Nf,FR_Ln2,FR_Tf
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_P32f = FR_P32f,FR_rf2,FR_P10f // ??????
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fnma.s1       FR_Ln = FR_S2,FR_Xf2,FR_Ln
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_Lnf = FR_P32f,FR_rf,FR_Tf
+      nop.i         0
+};;
+{ .mfb
+      nop.m         0
+      fms.s.s0      f8 = FR_Ln,f1,FR_Lnf
+      br.ret.sptk   b0
+};;
+// branch for calculating of ln(GAMMA(x)) for -2^13 < x < -9
+//---------------------------------------------------------------------
+.align 32
+lgammaf_negpoly:
+{ .mfi
+      getf.d        GR_Arg = FR_Xf
+      frcpa.s1      FR_InvXf,p0 = f1,FR_Xf
+      mov           GR_ExpBias = 0x3FF
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_Xf2 = FR_Xf,FR_Xf,f0
+      nop.i         0
+};;
+{ .mfi
+      getf.sig      GR_N = FR_int_Ntrunc
+      fcvt.xf       FR_N = FR_int_Ln
+      mov           GR_SignOfGamma = 1
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_A9 = FR_A10,FR_x,FR_A9
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_P10 = FR_P1,FR_r,f1
+      extr.u        GR_Exp = GR_Arg,52,11
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_x4 = FR_x2,FR_x2,f0
+      nop.i         0
+};;
+{ .mfi
+      sub           GR_PureExp = GR_Exp,GR_ExpBias
+      fma.s1        FR_A7 = FR_A8,FR_x,FR_A7
+      tbit.z        p14,p0 = GR_N,0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_A5 = FR_A6,FR_x,FR_A5
+      nop.i         0
+};;
+{ .mfi
+      setf.sig      FR_int_Ln = GR_PureExp
+      fma.s1        FR_A3 = FR_A4,FR_x,FR_A3
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_A1 = FR_A2,FR_x,FR_A1
+(p14) sub           GR_SignOfGamma = r0,GR_SignOfGamma
+};;
+{ .mfi
+      nop.m         0
+      fms.s1        FR_rf = FR_InvXf,FR_Xf,f1
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_Xf4 = FR_Xf2,FR_Xf2,f0
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_S14 = FR_S16,FR_Xf2,FR_S14
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_S10 = FR_S12,FR_Xf2,FR_S10
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_T = FR_N,FR_Ln2,FR_T
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_P32 = FR_P32,FR_r2,FR_P10
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_S6 = FR_S8,FR_Xf2,FR_S6
+      extr.u        GR_Ind4T = GR_Arg,44,8
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_S2 = FR_S4,FR_Xf2,FR_S2
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_A7 = FR_A9,FR_x2,FR_A7
+      nop.i         0
+}
+{ .mfi
+      shladd        GR_ad_T = GR_Ind4T,3,GR_ad_Data
+      fma.s1        FR_A3 = FR_A5,FR_x2,FR_A3
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_Xf8 = FR_Xf4,FR_Xf4,f0
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_rf2 = FR_rf,FR_rf,f0
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_P32f = FR_P3,FR_rf,FR_P2
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_P10f = FR_P1,FR_rf,f1
+      nop.i         0
+};;
+{ .mfi
+      ldfd          FR_Tf = [GR_ad_T]
+      fma.s1        FR_Ln = FR_P32,FR_r,FR_T
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_A0 = FR_A1,FR_x,FR_A0
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_S10 = FR_S14,FR_Xf4,FR_S10
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_S2 = FR_S6,FR_Xf4,FR_S2
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fcvt.xf       FR_Nf = FR_int_Ln
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_A3 = FR_A7,FR_x4,FR_A3
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fcmp.eq.s1    p13,p0 = FR_NormX,FR_Ntrunc
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fnma.s1       FR_x3 = FR_x2,FR_x,f0 // -x^3
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_P32f = FR_P32f,FR_rf2,FR_P10f
+      nop.i         0
+};;
+{ .mfb
+      // set p9  if signgum is 32-bit int
+      // set p10 if signgum is 64-bit int
+      cmp.eq        p10,p9 = 8,r34
+      fma.s1        FR_S2 = FR_S10,FR_Xf8,FR_S2
+(p13) br.cond.spnt  lgammaf_singularity
+};;
+.pred.rel "mutex",p9,p10
+{ .mmf
+(p9)  st4           [r33] = GR_SignOfGamma  // as 32-bit int
+(p10) st8           [r33] = GR_SignOfGamma  // as 64-bit int
+      fms.s1        FR_A0 = FR_A3,FR_x3,FR_A0 // -A3*x^3-A0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_Tf = FR_Nf,FR_Ln2,FR_Tf
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_Ln = FR_S2,FR_Xf2,FR_Ln // S2*Xf^2+Ln
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_Lnf = FR_P32f,FR_rf,FR_Tf
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fms.s1        FR_Ln = FR_A0,f1,FR_Ln
+      nop.i         0
+};;
+{ .mfb
+      nop.m         0
+      fms.s.s0      f8 = FR_Ln,f1,FR_Lnf
+      br.ret.sptk   b0
+};;
+// branch for handling +/-0, NaT, QNaN, +/-INF and denormalised numbers
+//---------------------------------------------------------------------
+.align 32
+lgammaf_spec:
+{ .mfi
+      getf.exp      GR_SignExp = FR_NormX
+      fclass.m      p6,p0 = f8,0x21 // is arg +INF?
+      mov           GR_SignOfGamma = 1 // set signgam to 1
+};;
+{ .mfi
+      getf.sig      GR_Sig = FR_NormX
+      fclass.m      p7,p0 = f8,0xB // is x deno?
+      // set p11 if signgum is 32-bit int
+      // set p12 if signgum is 64-bit int
+      cmp.eq        p12,p11 = 8,r34
+};;
+.pred.rel "mutex",p11,p12
+{ .mfi
+      // store sign of gamma(x) as 32-bit int
+(p11) st4           [r33] = GR_SignOfGamma
+      fclass.m      p8,p0 = f8,0x1C0 // is arg NaT or NaN?
+      dep.z         GR_Ind = GR_SignExp,3,4
+}
+{ .mib
+      // store sign of gamma(x) as 64-bit int
+(p12) st8           [r33] = GR_SignOfGamma
+      and           GR_Exp = GR_ExpMask,GR_SignExp
+(p6)  br.ret.spnt   b0 // exit for +INF
+};;
+{ .mfi
+      sub           GR_PureExp = GR_Exp,GR_ExpBias
+      fclass.m      p9,p0 = f8,0x22 // is arg -INF?
+      extr.u        GR_Ind4T = GR_Sig,55,8
+}
+{ .mfb
+      nop.m         0
+(p7)  fma.s0        FR_tmp = f1,f1,f8
+(p7)  br.cond.sptk  lgammaf_core
+};;
+{ .mfb
+      nop.m         0
+(p8)  fms.s.s0      f8 = f8,f1,f8
+(p8)  br.ret.spnt   b0 // exit for NaT and NaN
+};;
+{ .mfb
+      nop.m         0
+(p9)  fmerge.s      f8 = f1,f8
+(p9)  br.ret.spnt   b0 // exit -INF
+};;
+// branch for handling negative integers and +/-0
+//---------------------------------------------------------------------
+.align 32
+lgammaf_singularity:
+{ .mfi
+      mov           GR_SignOfGamma = 1 // set signgam to 1
+      fclass.m      p6,p0 = f8,0x6 // is x -0?
+      mov           GR_TAG = 109 // negative
+}
+{ .mfi
+      mov           GR_ad_SignGam = r33
+      fma.s1        FR_X = f0,f0,f8
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      frcpa.s0      f8,p0 = f1,f0
+      // set p9  if signgum is 32-bit int
+      // set p10 if signgum is 64-bit int
+      cmp.eq        p10,p9 = 8,r34
+}
+{ .mib
+      nop.m         0
+(p6)  sub           GR_SignOfGamma = r0,GR_SignOfGamma
+      br.cond.sptk  lgammaf_libm_err
+};;
+// overflow (x > OVERFLOV_BOUNDARY)
+//---------------------------------------------------------------------
+.align 32
+lgammaf_overflow:
+{ .mfi
+      nop.m         0
+      nop.f         0
+      mov           r8 = 0x1FFFE
+};;
+{ .mfi
+      setf.exp      f9 = r8
+      fmerge.s      FR_X = f8,f8
+      mov           GR_TAG = 108 // overflow
+};;
+{ .mfi
+      mov           GR_ad_SignGam = r33
+      nop.f         0
+      // set p9  if signgum is 32-bit int
+      // set p10 if signgum is 64-bit int
+      cmp.eq        p10,p9 = 8,r34
+}
+{ .mfi
+      nop.m         0
+      fma.s.s0      f8 = f9,f9,f0 // Set I,O and +INF result
+      nop.i         0
+};;
+// gate to __libm_error_support#
+//---------------------------------------------------------------------
+.align 32
+lgammaf_libm_err:
+{ .mmi
+      alloc        r32 = ar.pfs,1,4,4,0
+      mov          GR_Parameter_TAG = GR_TAG
+      nop.i        0
+};;
+.pred.rel "mutex",p9,p10
+{ .mmi
+      // store sign of gamma(x) as 32-bit int
+(p9)  st4          [GR_ad_SignGam] = GR_SignOfGamma
+      // store sign of gamma(x) as 64-bit int
+(p10) st8          [GR_ad_SignGam] = GR_SignOfGamma
+      nop.i        0
+};;
+GLOBAL_LIBM_END(__libm_lgammaf)
+
+LOCAL_LIBM_ENTRY(__libm_error_region)
+.prologue
+{ .mfi
+      add   GR_Parameter_Y=-32,sp             // Parameter 2 value
+      nop.f 0
+.save ar.pfs,GR_SAVE_PFS
+      mov  GR_SAVE_PFS=ar.pfs                 // Save ar.pfs
+}
+{ .mfi
+.fframe 64
+      add sp=-64,sp                           // Create new stack
+      nop.f 0
+      mov GR_SAVE_GP=gp                       // Save gp
+};;
+{ .mmi
+      stfs [GR_Parameter_Y] = FR_Y,16         // STORE Parameter 2 on stack
+      add GR_Parameter_X = 16,sp              // Parameter 1 address
+.save   b0, GR_SAVE_B0
+      mov GR_SAVE_B0=b0                       // Save b0
+};;
+.body
+{ .mib
+      stfs [GR_Parameter_X] = FR_X                  // STORE Parameter 1
+                                                    // on stack
+      add   GR_Parameter_RESULT = 0,GR_Parameter_Y  // Parameter 3 address
+      nop.b 0
+}
+{ .mib
+      stfs [GR_Parameter_Y] = FR_RESULT             // STORE Parameter 3
+                                                    // on stack
+      add   GR_Parameter_Y = -16,GR_Parameter_Y
+      br.call.sptk b0=__libm_error_support#         // Call error handling
+                                                    // function
+};;
+{ .mmi
+      nop.m 0
+      nop.m 0
+      add   GR_Parameter_RESULT = 48,sp
+};;
+{ .mmi
+      ldfs  f8 = [GR_Parameter_RESULT]       // Get return result off stack
+.restore sp
+      add   sp = 64,sp                       // Restore stack pointer
+      mov   b0 = GR_SAVE_B0                  // Restore return address
+};;
+{ .mib
+      mov   gp = GR_SAVE_GP                  // Restore gp
+      mov   ar.pfs = GR_SAVE_PFS             // Restore ar.pfs
+      br.ret.sptk     b0                     // Return
+};;
+
+LOCAL_LIBM_END(__libm_error_region)
+.type   __libm_error_support#,@function
+.global __libm_error_support#
diff --git a/sysdeps/ia64/fpu/libm_lgammal.S b/sysdeps/ia64/fpu/libm_lgammal.S
new file mode 100644
index 0000000000..056171b7d2
--- /dev/null
+++ b/sysdeps/ia64/fpu/libm_lgammal.S
@@ -0,0 +1,7676 @@
+.file "libm_lgammal.s"
+
+
+// Copyright (c) 2002 - 2003, Intel Corporation
+// All rights reserved.
+//
+// Contributed 2002 by the Intel Numerics Group, Intel Corporation
+//
+// Redistribution and use in source and binary forms, with or without
+// modification, are permitted provided that the following conditions are
+// met:
+//
+// * Redistributions of source code must retain the above copyright
+// notice, this list of conditions and the following disclaimer.
+//
+// * Redistributions in binary form must reproduce the above copyright
+// notice, this list of conditions and the following disclaimer in the
+// documentation and/or other materials provided with the distribution.
+//
+// * The name of Intel Corporation may not be used to endorse or promote
+// products derived from this software without specific prior written
+// permission.
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES,INCLUDING,BUT NOT
+// LIMITED TO,THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
+// CONTRIBUTORS BE LIABLE FOR ANY DIRECT,INDIRECT,INCIDENTAL,SPECIAL,
+// EXEMPLARY,OR CONSEQUENTIAL DAMAGES (INCLUDING,BUT NOT LIMITED TO,
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,DATA,OR
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
+// OF LIABILITY,WHETHER IN CONTRACT,STRICT LIABILITY OR TORT (INCLUDING
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+// SOFTWARE,EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+//
+// Intel Corporation is the author of this code,and requests that all
+// problem reports or change requests be submitted to it directly at
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
+//
+//*********************************************************************
+//
+// History:
+// 03/28/02  Original version
+// 05/20/02  Cleaned up namespace and sf0 syntax
+// 08/21/02  Added support of SIGN(GAMMA(x)) calculation
+// 09/26/02  Algorithm description improved
+// 10/21/02  Now it returns SIGN(GAMMA(x))=-1 for negative zero
+// 02/10/03  Reordered header: .section, .global, .proc, .align
+//
+//*********************************************************************
+//
+// Function: __libm_lgammal(long double x, int* signgam, int szsigngam)
+// computes the principal value of the logarithm of the GAMMA function
+// of x. Signum of GAMMA(x) is stored to memory starting at the address
+// specified by the signgam.
+//
+//*********************************************************************
+//
+// Resources Used:
+//
+//    Floating-Point Registers: f8 (Input and Return Value)
+//                              f9-f15
+//                              f32-f127
+//
+//    General Purpose Registers:
+//      r2, r3, r8-r11, r14-r31
+//      r32-r65
+//      r66-r69 (Used to pass arguments to error handling routine)
+//
+//    Predicate Registers:      p6-p15
+//
+//*********************************************************************
+//
+// IEEE Special Conditions:
+//
+//    __libm_lgammal(+inf) = +inf
+//    __libm_lgammal(-inf) = QNaN
+//    __libm_lgammal(+/-0) = +inf
+//    __libm_lgammal(x<0, x - integer) = QNaN
+//    __libm_lgammal(SNaN) = QNaN
+//    __libm_lgammal(QNaN) = QNaN
+//
+//*********************************************************************
+//
+// ALGORITHM DESCRIPTION
+//
+// Below we suppose that there is log(z) function which takes an long
+// double argument and returns result as a pair of long double numbers
+// lnHi and lnLo (such that sum lnHi + lnLo provides ~80 correct bits
+// of significand). Algorithm description for such log(z) function
+// see below.
+// Also, it this algorithm description we use the following notational
+// conventions:
+// a) pair A = (Ahi, Alo) means number A represented as sum of Ahi and Alo
+// b) C = A + B = (Ahi, Alo) + (Bhi, Blo) means multi-precision addition.
+//    The result would be C = (Chi, Clo). Notice, that Clo shouldn't be
+//    equal to Alo + Blo
+// c) D = A*B = (Ahi, Alo)*(Bhi, Blo) = (Dhi, Dlo) multi-precisiion
+//    multiplication.
+//
+// So, lgammal has the following computational paths:
+// 1) |x| < 0.5
+//    P = A1*|x| + A2*|x|^2 + ... + A22*|x|^22
+//    A1, A2, A3 represented as a sum of two double precision
+//    numbers and multi-precision computations are used for 3 higher
+//    terms of the polynomial. We get polynomial as a sum of two
+//    double extended numbers: P = (Phi, Plo)
+//    1.1) x > 0
+//         lgammal(x) = P - log(|x|) = (Phi, Plo) - (lnHi(|x|), lnLo(|x|))
+//    1.2) x < 0
+//         lgammal(x) = -P - log(|x|) - log(sin(Pi*x)/(Pi*x))
+//         P and log(|x|) are computed by the same way as in 1.1;
+//         - log(sin(Pi*x)/(Pi*x)) is approximated by a polynomial Plnsin.
+//         Plnsin:= fLnSin2*|x|^2 + fLnSin4*|x|^4 + ... + fLnSin36*|x|^36
+//         The first coefficient of Plnsin is represented as sum of two
+//         double precision numbers (fLnSin2, fLnSin2L). Multi-precision
+//         computations for higher two terms of Plnsin are used.
+//         So, the final result is reconstructed by the following formula
+//         lgammal(x) = (-(Phi, Plo) - (lnHi(|x|), lnLo(|x|))) -
+//                      - (PlnsinHi,PlnsinLo)
+//
+// 2)    0.5 <= x <   0.75  -> t = x - 0.625
+//     -0.75 <  x <= -0.5   -> t = x + 0.625
+//      2.25 <= x <   4.0   -> t = x/2 - 1.5
+//       4.0 <= x <   8.0   -> t = x/4 - 1.5
+//       -0.5 < x <= -0.40625 -> t = x + 0.5
+//       -2.6005859375 < x <= -2.5 -> t = x + 2.5
+//       1.3125 <= x < 1.5625 -> t = x - LOC_MIN, where LOC_MIN is point in
+//                                   which lgammal has local minimum. Exact
+//                                   value can be found in the table below,
+//                                   approximate value is ~1.46
+//
+//    lgammal(x) is approximated by the polynomial of 25th degree: P25(t)
+//    P25(t) = A0 + A1*t + ... + A25*t^25 = (Phi, Plo) + t^4*P21(t),
+//    where
+//    (Phi, Plo) is sum of four highest terms of the polynomial P25(t):
+//    (Phi, Plo) = ((A0, A0L) + (A1, A1L)*t) + t^2 *((A2, A2L) + (A3, A3L)*t),
+//    (Ai, AiL) - coefficients represented as pairs of DP numbers.
+//
+//    P21(t) = (PolC(t)*t^8 + PolD(t))*t^8 + PolE(t),
+//    where
+//    PolC(t) = C21*t^5 + C20*t^4 + ... + C16,
+//    C21 = A25, C20 = A24, ..., C16 = A20
+//
+//    PolD(t) = D7*t^7 + D6*t^6 + ... + D0,
+//    D7 = A19, D6 = A18, ..., D0 = A12
+//
+//    PolE(t) = E7*t^7 + E6*t^6 + ... + E0,
+//    E7 = A11, E6 = A10, ..., E0 = A4
+//
+//    Cis and Dis are represented as double precision numbers,
+//    Eis are represented as double extended numbers.
+//
+// 3) 0.75 <=  x < 1.3125   -> t = x - 1.0
+//    1.5625 <= x < 2.25   -> t = x - 2.0
+//    lgammal(x) is approximated by the polynomial of 25th degree: P25(t)
+//    P25(t) = A1*t + ... + A25*t^25, and computations are carried out
+//    by similar way as in the previous case
+//
+// 4) 10.0 < x <= Overflow Bound ("positive Sterling" range)
+//    lgammal(x) is approximated using Sterling's formula:
+//    lgammal(x) ~ ((x*(lnHi(x) - 1, lnLo(x))) - 0.5*(lnHi(x), lnLo(x))) +
+//                 + ((Chi, Clo) + S(1/x))
+//    where
+//    C = (Chi, Clo) - pair of double precision numbers representing constant
+//    0.5*ln(2*Pi);
+//    S(1/x) = 1/x * (B2 + B4*(1/x)^2 + ... + B20*(1/x)^18), B2, ..., B20 are
+//    Bernulli numbers. S is computed in native precision and then added to
+//    Clo;
+//    lnHi(x) - 1 is computed in native precision and the multiprecision
+//    multiplication (x, 0) *(lnHi(x) - 1, lnLo(x)) is used.
+//
+// 5) -INF < x <= -2^63, any negative integer < 0
+//    All numbers in this range are integers -> error handler is called
+//
+// 6) -2^63 < x <= -0.75 ("negative Sterling" range), x is "far" from root,
+//    lgammal(-t) for positive t is approximated using the following formula:
+//    lgammal(-t) = -lgammal(t)-log(t)-log(|dT|)+log(sin(Pi*|dT|)/(Pi*|dT|))
+//        where dT = -t -round_to_nearest_integer(-t)
+//    Last item is approximated by the same polynomial as described in 1.2.
+//    We split the whole range into three subranges due to different ways of
+//    approximation of the first terms.
+//    6.1) -2^63 < x < -6.0 ("negative Sterling" range)
+//       lgammal(t) is approximated exactly as in #4. The only difference that
+//       for -13.0 < x < -6.0 subrange instead of Bernulli numbers we use their
+//       minimax approximation on this range.
+//       log(t), log(|dT|) are approximated by the log routine mentioned above.
+//    6.2) -6.0 < x <= -0.75, |x + 1|> 2^(-7)
+//       log(t), log(|dT|) are approximated by the log routine mentioned above,
+//       lgammal(t) is approximated by polynomials of the 25th degree similar
+//       to ones from #2. Arguments z of the polynomials are as follows
+//       a) 0.75 <= t < 1.0 - 2^(-7),  z = 2*t - 1.5
+//       b) 1.0 - 2^(-7)  < t < 2.0,   z = t - 1.5
+//       c) 2.0  < t < 3.0,   z = t/2 - 1.5
+//       d) 3.0  < t < 4.0,   z = t/2 - 1.5. Notice, that range reduction is
+//          the same as in case c) but the set of coefficients is different
+//       e) 4.0  < t < 6.0,   z = t/4 - 1.5
+//    6.3) |x + 1| <= 2^(-7)
+//       log(1 + (x-1)) is approximated by Taylor series,
+//       log(sin(Pi*|dT|)/(Pi*|dT|)) is still approximated by polynomial but
+//       it has just 4th degree.
+//       log(|dT|) is approximated by the log routine mentioned above.
+//       lgammal(-x) is approximated by polynomial of 8th degree from (-x + 1).
+//
+// 7) -20.0 < x < -2.0, x falls in root "neighbourhood".
+//    "Neighbourhood" means that |lgammal(x)| < epsilon, where epsilon is
+//    different for every root (and it is stored in the table), but typically
+//    it is ~ 0.15. There are 35 roots significant from "double extended"
+//    point of view. We split all the roots into two subsets: "left" and "right"
+//    roots. Considering [-(N+1), -N] range we call root as "left" one if it
+//    lies closer to -(N+1) and "right" otherwise. There is no "left" root in
+//    the [-20, -19] range (it exists, but is insignificant for double extended
+//    precision). To determine if x falls in root "neighbourhood" we store
+//    significands of all the 35 roots as well as epsilon values (expressed
+//    by the left and right bound).
+//    In these ranges we approximate lgammal(x) by polynomial series of 19th
+//    degree:
+//    lgammal(x) = P19(t) = A0 + A1*t + ...+ A19*t^19, where t = x - EDP_Root,
+//    EDP_Root is the exact value of the corresponding root rounded to double
+//    extended precision. So, we have 35 different polynomials which make our
+//    table rather big. We may hope that x falls in root "neighbourhood"
+//    quite rarely -> ther might be no need in frequent use of different
+//    polynomials.
+//    A0, A1, A2, A3 are represented as pairs of double precision numbers,
+//    A4, A5 are long doubles, and to decrease the size of the table we
+//    keep the rest of coefficients in just double precision
+//
+//*********************************************************************
+// Algorithm for log(X) = (lnHi(X), lnLo(X))
+//
+//   ALGORITHM
+//
+//   Here we use a table lookup method. The basic idea is that in
+//   order to compute logl(Arg) for an argument Arg in [1,2), we
+//   construct a value G such that G*Arg is close to 1 and that
+//   logl(1/G) is obtainable easily from a table of values calculated
+//   beforehand. Thus
+//
+//      logl(Arg) = logl(1/G) + logl(G*Arg)
+//                = logl(1/G) + logl(1 + (G*Arg - 1))
+//
+//   Because |G*Arg - 1| is small, the second term on the right hand
+//   side can be approximated by a short polynomial. We elaborate
+//   this method in four steps.
+//
+//   Step 0: Initialization
+//
+//   We need to calculate logl( X ). Obtain N, S_hi such that
+//
+//      X = 2^N * S_hi exactly
+//
+//   where S_hi in [1,2)
+//
+//   Step 1: Argument Reduction
+//
+//   Based on S_hi, obtain G_1, G_2, G_3 from a table and calculate
+//
+//      G := G_1 * G_2 * G_3
+//      r := (G * S_hi - 1)
+//
+//   These G_j's have the property that the product is exactly
+//   representable and that |r| < 2^(-12) as a result.
+//
+//   Step 2: Approximation
+//
+//
+//   logl(1 + r) is approximated by a short polynomial poly(r).
+//
+//   Step 3: Reconstruction
+//
+//
+//   Finally, logl( X ) is given by
+//
+//   logl( X )   =   logl( 2^N * S_hi )
+//                 ~=~  N*logl(2) + logl(1/G) + logl(1 + r)
+//                 ~=~  N*logl(2) + logl(1/G) + poly(r).
+//
+//   IMPLEMENTATION
+//
+//   Step 0. Initialization
+//   ----------------------
+//
+//   Z := X
+//   N := unbaised exponent of Z
+//   S_hi := 2^(-N) * Z
+//
+//   Step 1. Argument Reduction
+//   --------------------------
+//
+//   Let
+//
+//      Z = 2^N * S_hi = 2^N * 1.d_1 d_2 d_3 ... d_63
+//
+//   We obtain G_1, G_2, G_3 by the following steps.
+//
+//
+//      Define          X_0 := 1.d_1 d_2 ... d_14. This is extracted
+//                      from S_hi.
+//
+//      Define          A_1 := 1.d_1 d_2 d_3 d_4. This is X_0 truncated
+//                      to lsb = 2^(-4).
+//
+//      Define          index_1 := [ d_1 d_2 d_3 d_4 ].
+//
+//      Fetch           Z_1 := (1/A_1) rounded UP in fixed point with
+//      fixed point     lsb = 2^(-15).
+//                      Z_1 looks like z_0.z_1 z_2 ... z_15
+//                      Note that the fetching is done using index_1.
+//                      A_1 is actually not needed in the implementation
+//                      and is used here only to explain how is the value
+//                      Z_1 defined.
+//
+//      Fetch           G_1 := (1/A_1) truncated to 21 sig. bits.
+//      floating pt.    Again, fetching is done using index_1. A_1
+//                      explains how G_1 is defined.
+//
+//      Calculate       X_1 := X_0 * Z_1 truncated to lsb = 2^(-14)
+//                           = 1.0 0 0 0 d_5 ... d_14
+//                      This is accomplised by integer multiplication.
+//                      It is proved that X_1 indeed always begin
+//                      with 1.0000 in fixed point.
+//
+//
+//      Define          A_2 := 1.0 0 0 0 d_5 d_6 d_7 d_8. This is X_1
+//                      truncated to lsb = 2^(-8). Similar to A_1,
+//                      A_2 is not needed in actual implementation. It
+//                      helps explain how some of the values are defined.
+//
+//      Define          index_2 := [ d_5 d_6 d_7 d_8 ].
+//
+//      Fetch           Z_2 := (1/A_2) rounded UP in fixed point with
+//      fixed point     lsb = 2^(-15). Fetch done using index_2.
+//                      Z_2 looks like z_0.z_1 z_2 ... z_15
+//
+//      Fetch           G_2 := (1/A_2) truncated to 21 sig. bits.
+//      floating pt.
+//
+//      Calculate       X_2 := X_1 * Z_2 truncated to lsb = 2^(-14)
+//                           = 1.0 0 0 0 0 0 0 0 d_9 d_10 ... d_14
+//                      This is accomplised by integer multiplication.
+//                      It is proved that X_2 indeed always begin
+//                      with 1.00000000 in fixed point.
+//
+//
+//      Define          A_3 := 1.0 0 0 0 0 0 0 0 d_9 d_10 d_11 d_12 d_13 1.
+//                      This is 2^(-14) + X_2 truncated to lsb = 2^(-13).
+//
+//      Define          index_3 := [ d_9 d_10 d_11 d_12 d_13 ].
+//
+//      Fetch           G_3 := (1/A_3) truncated to 21 sig. bits.
+//      floating pt.    Fetch is done using index_3.
+//
+//      Compute         G := G_1 * G_2 * G_3.
+//
+//      This is done exactly since each of G_j only has 21 sig. bits.
+//
+//      Compute
+//
+//               r := (G*S_hi - 1)
+//
+//
+//  Step 2. Approximation
+//  ---------------------
+//
+//   This step computes an approximation to logl( 1 + r ) where r is the
+//   reduced argument just obtained. It is proved that |r| <= 1.9*2^(-13);
+//   thus logl(1+r) can be approximated by a short polynomial:
+//
+//      logl(1+r) ~=~ poly = r + Q1 r^2 + ... + Q4 r^5
+//
+//
+//  Step 3. Reconstruction
+//  ----------------------
+//
+//   This step computes the desired result of logl(X):
+//
+//      logl(X)  =   logl( 2^N * S_hi )
+//               =   N*logl(2) + logl( S_hi )
+//               =   N*logl(2) + logl(1/G) +
+//                      logl(1 + G*S_hi - 1 )
+//
+//   logl(2), logl(1/G_j) are stored as pairs of (single,double) numbers:
+//   log2_hi, log2_lo, log1byGj_hi, log1byGj_lo. The high parts are
+//   single-precision numbers and the low parts are double precision
+//   numbers. These have the property that
+//
+//      N*log2_hi + SUM ( log1byGj_hi )
+//
+//   is computable exactly in double-extended precision (64 sig. bits).
+//   Finally
+//
+//      lnHi(X) := N*log2_hi + SUM ( log1byGj_hi )
+//      lnLo(X) := poly_hi + [ poly_lo +
+//              ( SUM ( log1byGj_lo ) + N*log2_lo ) ]
+//
+//
+//*********************************************************************
+// General Purpose Registers
+// scratch registers
+rPolDataPtr              = r2
+rLnSinDataPtr            = r3
+rExpX                    = r8
+rSignifX                 = r9
+rDelta                   = r10
+rSignExpX                = r11
+GR_ad_z_1                = r14
+r17Ones                  = r15
+GR_Index1                = r16
+rSignif1andQ             = r17
+GR_X_0                   = r18
+GR_X_1                   = r19
+GR_X_2                   = r20
+GR_Z_1                   = r21
+GR_Z_2                   = r22
+GR_N                     = r23
+rExpHalf                 = r24
+rExp8                    = r25
+rX0Dx                    = r25
+GR_ad_tbl_1              = r26
+GR_ad_tbl_2              = r27
+GR_ad_tbl_3              = r28
+GR_ad_q                  = r29
+GR_ad_z_1                = r30
+GR_ad_z_2                = r31
+// stacked registers
+rPFS_SAVED               = r32
+GR_ad_z_3                = r33
+rSgnGamAddr              = r34
+rSgnGamSize              = r35
+rLogDataPtr              = r36
+rZ1offsett               = r37
+rTmpPtr                  = r38
+rTmpPtr2                 = r39
+rTmpPtr3                 = r40
+rExp2                    = r41
+rExp2tom7                = r42
+rZ625                    = r42
+rExpOne                  = r43
+rNegSingularity          = r44
+rXint                    = r45
+rTbl1Addr                = r46
+rTbl2Addr                = r47
+rTbl3Addr                = r48
+rZ2Addr                  = r49
+rRootsAddr               = r50
+rRootsBndAddr            = r51
+rRoot                    = r52
+rRightBound              = r53
+rLeftBound               = r54
+rSignifDx                = r55
+rBernulliPtr             = r56
+rLnSinTmpPtr             = r56
+rIndex1Dx                = r57
+rIndexPol                = r58
+GR_Index3                = r59
+GR_Index2                = r60
+rSgnGam                  = r61
+rXRnd                    = r62
+
+GR_SAVE_B0               = r63
+GR_SAVE_GP               = r64
+GR_SAVE_PFS              = r65
+// output parameters when calling error handling routine
+GR_Parameter_X           = r66
+GR_Parameter_Y           = r67
+GR_Parameter_RESULT      = r68
+GR_Parameter_TAG         = r69
+
+//********************************************************************
+// Floating Point Registers
+// CAUTION: due to the lack of registers there exist (below in the code)
+// sometimes "unconventional" use of declared registers
+//
+fAbsX                    = f6
+fDelX4                   = f6
+fSignifX                 = f7
+// macros for error handling routine
+FR_X                     = f10 // first argument
+FR_Y                     = f1  // second argument (lgammal has just one)
+FR_RESULT                = f8  // result
+
+// First 7 Bernulli numbers
+fB2                      = f9
+fLnDeltaL                = f9
+fXSqr                    = f9
+fB4                      = f10
+fX4                      = f10
+fB6                      = f11
+fX6                      = f11
+fB8                      = f12
+fXSqrL                   = f12
+fB10                     = f13
+fRes7H                   = f13
+fB12                     = f14
+fRes7L                   = f14
+fB14                     = f15
+
+// stack registers
+// Polynomial coefficients: A0, ..., A25
+fA0                      = f32
+fA0L                     = f33
+fInvXL                   = f33
+fA1                      = f34
+fA1L                     = f35
+fA2                      = f36
+fA2L                     = f37
+fA3                      = f38
+fA3L                     = f39
+fA4                      = f40
+fA4L                     = f41
+fRes6H                   = f41
+fA5                      = f42
+fB2L                     = f42
+fA5L                     = f43
+fMinNegStir              = f43
+fRes6L                   = f43
+fA6                      = f44
+fMaxNegStir              = f44
+fA7                      = f45
+fLnDeltaH                = f45
+fA8                      = f46
+fBrnL                    = f46
+fA9                      = f47
+fBrnH                    = f47
+fA10                     = f48
+fRes5L                   = f48
+fA11                     = f49
+fRes5H                   = f49
+fA12                     = f50
+fDx6                     = f50
+fA13                     = f51
+fDx8                     = f51
+fA14                     = f52
+fDx4                     = f52
+fA15                     = f53
+fYL                      = f53
+fh3Dx                    = f53
+fA16                     = f54
+fYH                      = f54
+fH3Dx                    = f54
+fA17                     = f55
+fResLnDxL                = f55
+fG3Dx                    = f55
+fA18                     = f56
+fResLnDxH                = f56
+fh2Dx                    = f56
+fA19                     = f57
+fFloatNDx                = f57
+fA20                     = f58
+fPolyHiDx                = f58
+fhDx                     = f58
+fA21                     = f59
+fRDxCub                  = f59
+fHDx                     = f59
+fA22                     = f60
+fRDxSq                   = f60
+fGDx                     = f60
+fA23                     = f61
+fPolyLoDx                = f61
+fInvX3                   = f61
+fA24                     = f62
+fRDx                     = f62
+fInvX8                   = f62
+fA25                     = f63
+fInvX4                   = f63
+fPol                     = f64
+fPolL                    = f65
+// Coefficients of ln(sin(Pi*x)/Pi*x)
+fLnSin2                  = f66
+fLnSin2L                 = f67
+fLnSin4                  = f68
+fLnSin6                  = f69
+fLnSin8                  = f70
+fLnSin10                 = f71
+fLnSin12                 = f72
+fLnSin14                 = f73
+fLnSin16                 = f74
+fLnSin18                 = f75
+fDelX8                   = f75
+fLnSin20                 = f76
+fLnSin22                 = f77
+fDelX6                   = f77
+fLnSin24                 = f78
+fLnSin26                 = f79
+fLnSin28                 = f80
+fLnSin30                 = f81
+fhDelX                   = f81
+fLnSin32                 = f82
+fLnSin34                 = f83
+fLnSin36                 = f84
+fXint                    = f85
+fDxSqr                   = f85
+fRes3L                   = f86
+fRes3H                   = f87
+fRes4H                   = f88
+fRes4L                   = f89
+fResH                    = f90
+fResL                    = f91
+fDx                      = f92
+FR_MHalf                 = f93
+fRes1H                   = f94
+fRes1L                   = f95
+fRes2H                   = f96
+fRes2L                   = f97
+FR_FracX                 = f98
+fRcpX                    = f99
+fLnSinH                  = f99
+fTwo                     = f100
+fMOne                    = f100
+FR_G                     = f101
+FR_H                     = f102
+FR_h                     = f103
+FR_G2                    = f104
+FR_H2                    = f105
+FR_poly_lo               = f106
+FR_poly_hi               = f107
+FR_h2                    = f108
+FR_rsq                   = f109
+FR_r                     = f110
+FR_log2_hi               = f111
+FR_log2_lo               = f112
+fFloatN                  = f113
+FR_Q4                    = f114
+FR_G3                    = f115
+FR_H3                    = f116
+FR_h3                    = f117
+FR_Q3                    = f118
+FR_Q2                    = f119
+FR_Q1                    = f120
+fThirteen                = f121
+fSix                     = f121
+FR_rcub                  = f121
+// Last three Bernulli numbers
+fB16                     = f122
+fB18                     = f123
+fB20                     = f124
+fInvX                    = f125
+fLnSinL                  = f125
+fDxSqrL                  = f126
+fFltIntX                 = f126
+fRoot                    = f127
+fNormDx                  = f127
+
+// Data tables
+//==============================================================
+RODATA
+// ************* DO NOT CHANGE THE ORDER OF THESE TABLES *************
+.align 16
+LOCAL_OBJECT_START(lgammal_right_roots_data)
+// List of all right roots themselves
+data8 0x9D3FE4B007C360AB, 0x0000C000 // Range [-3, -2]
+data8 0xC9306DE4F2CD7BEE, 0x0000C000 // Range [-4, -3]
+data8 0x814273C2CCAC0618, 0x0000C001 // Range [-5, -4]
+data8 0xA04352BF85B6C865, 0x0000C001 // Range [-6, -5]
+data8 0xC00B592C4BE4676C, 0x0000C001 // Range [-7, -6]
+data8 0xE0019FEF6FF0F5BF, 0x0000C001 // Range [-8, -7]
+data8 0x80001A01459FC9F6, 0x0000C002 // Range [-9, -8]
+data8 0x900002E3BB47D86D, 0x0000C002 // Range [-10, -9]
+data8 0xA0000049F93BB992, 0x0000C002 // Range [-11, -10]
+data8 0xB0000006B9915316, 0x0000C002 // Range [-12, -11]
+data8 0xC00000008F76C773, 0x0000C002 // Range [-13, -12]
+data8 0xD00000000B09230A, 0x0000C002 // Range [-14, -13]
+data8 0xE000000000C9CBA5, 0x0000C002 // Range [-15, -14]
+data8 0xF0000000000D73FA, 0x0000C002 // Range [-16, -15]
+data8 0x8000000000006BA0, 0x0000C003 // Range [-17, -16]
+data8 0x8800000000000655, 0x0000C003 // Range [-18, -17]
+data8 0x900000000000005A, 0x0000C003 // Range [-19, -18]
+data8 0x9800000000000005, 0x0000C003 // Range [-20, -19]
+// List of bounds of ranges with special polynomial approximation near root
+// Only significands of bounds are actually stored
+data8 0xA000000000000000, 0x9800000000000000 // Bounds for root on [-3, -2]
+data8 0xCAB88035C5EFBB41, 0xC7E05E31F4B02115 // Bounds for root on [-4, -3]
+data8 0x817831B899735C72, 0x8114633941B8053A // Bounds for root on [-5, -4]
+data8 0xA04E8B34C6AA9476, 0xA039B4A42978197B // Bounds for root on [-6, -5]
+data8 0xC00D3D5E588A78A9, 0xC009BA25F7E858A6 // Bounds for root on [-7, -6]
+data8 0xE001E54202991EB4, 0xE001648416CE897F // Bounds for root on [-8, -7]
+data8 0x80001E56D13A6B9F, 0x8000164A3BAD888A // Bounds for root on [-9, -8]
+data8 0x9000035F0529272A, 0x9000027A0E3D94F0 // Bounds for root on [-10, -9]
+data8 0xA00000564D705880, 0xA000003F67EA0CC7 // Bounds for root on [-11, -10]
+data8 0xB0000007D87EE0EF, 0xB0000005C3A122A5 // Bounds for root on [-12, -11]
+data8 0xC0000000A75FE8B1, 0xC00000007AF818AC // Bounds for root on [-13, -12]
+data8 0xD00000000CDFFE36, 0xD000000009758BBF // Bounds for root on [-14, -13]
+data8 0xE000000000EB6D96, 0xE000000000ACF7B2 // Bounds for root on [-15, -14]
+data8 0xF0000000000FB1F9, 0xF0000000000B87FB // Bounds for root on [-16, -15]
+data8 0x8000000000007D90, 0x8000000000005C40 // Bounds for root on [-17, -16]
+data8 0x8800000000000763, 0x880000000000056D // Bounds for root on [-18, -17]
+data8 0x9000000000000069, 0x900000000000004D // Bounds for root on [-19, -18]
+data8 0x9800000000000006, 0x9800000000000005 // Bounds for root on [-20, -19]
+// List of all left roots themselves
+data8 0xAFDA0850DEC8065E, 0x0000C000 // Range [-3, -2]
+data8 0xFD238AA3E17F285C, 0x0000C000 // Range [-4, -3]
+data8 0x9FBABBD37757E6A2, 0x0000C001 // Range [-5, -4]
+data8 0xBFF497AC8FA06AFC, 0x0000C001 // Range [-6, -5]
+data8 0xDFFE5FBB5C377FE8, 0x0000C001 // Range [-7, -6]
+data8 0xFFFFCBFC0ACE7879, 0x0000C001 // Range [-8, -7]
+data8 0x8FFFFD1C425E8100, 0x0000C002 // Range [-9, -8]
+data8 0x9FFFFFB606BDFDCD, 0x0000C002 // Range [-10, -9]
+data8 0xAFFFFFF9466E9F1B, 0x0000C002 // Range [-11, -10]
+data8 0xBFFFFFFF70893874, 0x0000C002 // Range [-12, -11]
+data8 0xCFFFFFFFF4F6DCF6, 0x0000C002 // Range [-13, -12]
+data8 0xDFFFFFFFFF36345B, 0x0000C002 // Range [-14, -13]
+data8 0xEFFFFFFFFFF28C06, 0x0000C002 // Range [-15, -14]
+data8 0xFFFFFFFFFFFF28C0, 0x0000C002 // Range [-16, -15]
+data8 0x87FFFFFFFFFFF9AB, 0x0000C003 // Range [-17, -16]
+data8 0x8FFFFFFFFFFFFFA6, 0x0000C003 // Range [-18, -17]
+data8 0x97FFFFFFFFFFFFFB, 0x0000C003 // Range [-19, -18]
+data8 0x0000000000000000, 0x00000000 // pad to keep logic in the main path
+// List of bounds of ranges with special polynomial approximation near root
+// Only significands of bounds are actually stored
+data8 0xB235880944CC758E, 0xADD2F1A9FBE76C8B // Bounds for root on [-3, -2]
+data8 0xFD8E7844F307B07C, 0xFCA655C2152BDE4D // Bounds for root on [-4, -3]
+data8 0x9FC4D876EE546967, 0x9FAEE4AF68BC4292 // Bounds for root on [-5, -4]
+data8 0xBFF641FFBFCC44F1, 0xBFF2A47919F4BA89 // Bounds for root on [-6, -5]
+data8 0xDFFE9C803DEFDD59, 0xDFFE18932EB723FE // Bounds for root on [-7, -6]
+data8 0xFFFFD393FA47AFC3, 0xFFFFC317CF638AE1 // Bounds for root on [-8, -7]
+data8 0x8FFFFD8840279925, 0x8FFFFC9DCECEEE92 // Bounds for root on [-9, -8]
+data8 0x9FFFFFC0D34E2AF8, 0x9FFFFFA9619AA3B7 // Bounds for root on [-10, -9]
+data8 0xAFFFFFFA41C18246, 0xAFFFFFF82025A23C // Bounds for root on [-11, -10]
+data8 0xBFFFFFFF857ACB4E, 0xBFFFFFFF58032378 // Bounds for root on [-12, -11]
+data8 0xCFFFFFFFF6934AB8, 0xCFFFFFFFF313EF0A // Bounds for root on [-13, -12]
+data8 0xDFFFFFFFFF53A9E9, 0xDFFFFFFFFF13B5A5 // Bounds for root on [-14, -13]
+data8 0xEFFFFFFFFFF482CB, 0xEFFFFFFFFFF03F4F // Bounds for root on [-15, -14]
+data8 0xFFFFFFFFFFFF482D, 0xFFFFFFFFFFFF03F5 // Bounds for root on [-16, -15]
+data8 0x87FFFFFFFFFFFA98, 0x87FFFFFFFFFFF896 // Bounds for root on [-17, -16]
+data8 0x8FFFFFFFFFFFFFB3, 0x8FFFFFFFFFFFFF97 // Bounds for root on [-18, -17]
+data8 0x97FFFFFFFFFFFFFC, 0x97FFFFFFFFFFFFFB // Bounds for root on [-19, -18]
+LOCAL_OBJECT_END(lgammal_right_roots_data)
+
+LOCAL_OBJECT_START(lgammal_0_Half_data)
+// Polynomial coefficients for the lgammal(x), 0.0 < |x| < 0.5
+data8 0xBFD9A4D55BEAB2D6, 0xBC8AA3C097746D1F //A3
+data8 0x3FEA51A6625307D3, 0x3C7180E7BD2D0DCC //A2
+data8 0xBFE2788CFC6FB618, 0xBC9E9346C4692BCC //A1
+data8 0x8A8991563EC1BD13, 0x00003FFD //A4
+data8 0xD45CE0BD52C27EF2, 0x0000BFFC //A5
+data8 0xADA06587FA2BBD47, 0x00003FFC //A6
+data8 0x9381D0ED2194902A, 0x0000BFFC //A7
+data8 0x80859B3CF92D4192, 0x00003FFC //A8
+data8 0xE4033517C622A946, 0x0000BFFB //A9
+data8 0xCD00CE67A51FC82A, 0x00003FFB //A10
+data8 0xBA44E2A96C3B5700, 0x0000BFFB //A11
+data8 0xAAAD008FA46DBD99, 0x00003FFB //A12
+data8 0x9D604AC65A41153D, 0x0000BFFB //A13
+data8 0x917CECB864B5A861, 0x00003FFB //A14
+data8 0x85A4810EB730FDE4, 0x0000BFFB //A15
+data8 0xEF2761C38BD21F77, 0x00003FFA //A16
+data8 0xC913043A128367DA, 0x0000BFFA //A17
+data8 0x96A29B71FF7AFFAA, 0x00003FFA //A18
+data8 0xBB9FFA1A5FE649BB, 0x0000BFF9 //A19
+data8 0xB17982CD2DAA0EE3, 0x00003FF8 //A20
+data8 0xDE1DDCBFFB9453F0, 0x0000BFF6 //A21
+data8 0x87FBF5D7ACD9FA9D, 0x00003FF4 //A22
+LOCAL_OBJECT_END(lgammal_0_Half_data)
+
+LOCAL_OBJECT_START(Constants_Q)
+// log2_hi, log2_lo, Q_4, Q_3, Q_2, and Q_1
+data4  0x00000000,0xB1721800,0x00003FFE,0x00000000
+data4  0x4361C4C6,0x82E30865,0x0000BFE2,0x00000000
+data4  0x328833CB,0xCCCCCAF2,0x00003FFC,0x00000000
+data4  0xA9D4BAFB,0x80000077,0x0000BFFD,0x00000000
+data4  0xAAABE3D2,0xAAAAAAAA,0x00003FFD,0x00000000
+data4  0xFFFFDAB7,0xFFFFFFFF,0x0000BFFD,0x00000000
+LOCAL_OBJECT_END(Constants_Q)
+
+LOCAL_OBJECT_START(Constants_Z_1)
+// Z1 - 16 bit fixed
+data4  0x00008000
+data4  0x00007879
+data4  0x000071C8
+data4  0x00006BCB
+data4  0x00006667
+data4  0x00006187
+data4  0x00005D18
+data4  0x0000590C
+data4  0x00005556
+data4  0x000051EC
+data4  0x00004EC5
+data4  0x00004BDB
+data4  0x00004925
+data4  0x0000469F
+data4  0x00004445
+data4  0x00004211
+LOCAL_OBJECT_END(Constants_Z_1)
+
+LOCAL_OBJECT_START(Constants_G_H_h1)
+// G1 and H1 - IEEE single and h1 - IEEE double
+data4  0x3F800000,0x00000000,0x00000000,0x00000000
+data4  0x3F70F0F0,0x3D785196,0x617D741C,0x3DA163A6
+data4  0x3F638E38,0x3DF13843,0xCBD3D5BB,0x3E2C55E6
+data4  0x3F579430,0x3E2FF9A0,0xD86EA5E7,0xBE3EB0BF
+data4  0x3F4CCCC8,0x3E647FD6,0x86B12760,0x3E2E6A8C
+data4  0x3F430C30,0x3E8B3AE7,0x5C0739BA,0x3E47574C
+data4  0x3F3A2E88,0x3EA30C68,0x13E8AF2F,0x3E20E30F
+data4  0x3F321640,0x3EB9CEC8,0xF2C630BD,0xBE42885B
+data4  0x3F2AAAA8,0x3ECF9927,0x97E577C6,0x3E497F34
+data4  0x3F23D708,0x3EE47FC5,0xA6B0A5AB,0x3E3E6A6E
+data4  0x3F1D89D8,0x3EF8947D,0xD328D9BE,0xBDF43E3C
+data4  0x3F17B420,0x3F05F3A1,0x0ADB090A,0x3E4094C3
+data4  0x3F124920,0x3F0F4303,0xFC1FE510,0xBE28FBB2
+data4  0x3F0D3DC8,0x3F183EBF,0x10FDE3FA,0x3E3A7895
+data4  0x3F088888,0x3F20EC80,0x7CC8C98F,0x3E508CE5
+data4  0x3F042108,0x3F29516A,0xA223106C,0xBE534874
+LOCAL_OBJECT_END(Constants_G_H_h1)
+
+LOCAL_OBJECT_START(Constants_Z_2)
+// Z2 - 16 bit fixed
+data4  0x00008000
+data4  0x00007F81
+data4  0x00007F02
+data4  0x00007E85
+data4  0x00007E08
+data4  0x00007D8D
+data4  0x00007D12
+data4  0x00007C98
+data4  0x00007C20
+data4  0x00007BA8
+data4  0x00007B31
+data4  0x00007ABB
+data4  0x00007A45
+data4  0x000079D1
+data4  0x0000795D
+data4  0x000078EB
+LOCAL_OBJECT_END(Constants_Z_2)
+
+LOCAL_OBJECT_START(Constants_G_H_h2)
+// G2 and H2 - IEEE single and h2 - IEEE double
+data4  0x3F800000,0x00000000,0x00000000,0x00000000
+data4  0x3F7F00F8,0x3B7F875D,0x22C42273,0x3DB5A116
+data4  0x3F7E03F8,0x3BFF015B,0x21F86ED3,0x3DE620CF
+data4  0x3F7D08E0,0x3C3EE393,0x484F34ED,0xBDAFA07E
+data4  0x3F7C0FC0,0x3C7E0586,0x3860BCF6,0xBDFE07F0
+data4  0x3F7B1880,0x3C9E75D2,0xA78093D6,0x3DEA370F
+data4  0x3F7A2328,0x3CBDC97A,0x72A753D0,0x3DFF5791
+data4  0x3F792FB0,0x3CDCFE47,0xA7EF896B,0x3DFEBE6C
+data4  0x3F783E08,0x3CFC15D0,0x409ECB43,0x3E0CF156
+data4  0x3F774E38,0x3D0D874D,0xFFEF71DF,0xBE0B6F97
+data4  0x3F766038,0x3D1CF49B,0x5D59EEE8,0xBE080483
+data4  0x3F757400,0x3D2C531D,0xA9192A74,0x3E1F91E9
+data4  0x3F748988,0x3D3BA322,0xBF72A8CD,0xBE139A06
+data4  0x3F73A0D0,0x3D4AE46F,0xF8FBA6CF,0x3E1D9202
+data4  0x3F72B9D0,0x3D5A1756,0xBA796223,0xBE1DCCC4
+data4  0x3F71D488,0x3D693B9D,0xB6B7C239,0xBE049391
+LOCAL_OBJECT_END(Constants_G_H_h2)
+
+LOCAL_OBJECT_START(Constants_G_H_h3)
+// G3 and H3 - IEEE single and h3 - IEEE double
+data4  0x3F7FFC00,0x38800100,0x562224CD,0x3D355595
+data4  0x3F7FF400,0x39400480,0x06136FF6,0x3D8200A2
+data4  0x3F7FEC00,0x39A00640,0xE8DE9AF0,0x3DA4D68D
+data4  0x3F7FE400,0x39E00C41,0xB10238DC,0xBD8B4291
+data4  0x3F7FDC00,0x3A100A21,0x3B1952CA,0xBD89CCB8
+data4  0x3F7FD400,0x3A300F22,0x1DC46826,0xBDB10707
+data4  0x3F7FCC08,0x3A4FF51C,0xF43307DB,0x3DB6FCB9
+data4  0x3F7FC408,0x3A6FFC1D,0x62DC7872,0xBD9B7C47
+data4  0x3F7FBC10,0x3A87F20B,0x3F89154A,0xBDC3725E
+data4  0x3F7FB410,0x3A97F68B,0x62B9D392,0xBD93519D
+data4  0x3F7FAC18,0x3AA7EB86,0x0F21BD9D,0x3DC18441
+data4  0x3F7FA420,0x3AB7E101,0x2245E0A6,0xBDA64B95
+data4  0x3F7F9C20,0x3AC7E701,0xAABB34B8,0x3DB4B0EC
+data4  0x3F7F9428,0x3AD7DD7B,0x6DC40A7E,0x3D992337
+data4  0x3F7F8C30,0x3AE7D474,0x4F2083D3,0x3DC6E17B
+data4  0x3F7F8438,0x3AF7CBED,0x811D4394,0x3DAE314B
+data4  0x3F7F7C40,0x3B03E1F3,0xB08F2DB1,0xBDD46F21
+data4  0x3F7F7448,0x3B0BDE2F,0x6D34522B,0xBDDC30A4
+data4  0x3F7F6C50,0x3B13DAAA,0xB1F473DB,0x3DCB0070
+data4  0x3F7F6458,0x3B1BD766,0x6AD282FD,0xBDD65DDC
+data4  0x3F7F5C68,0x3B23CC5C,0xF153761A,0xBDCDAB83
+data4  0x3F7F5470,0x3B2BC997,0x341D0F8F,0xBDDADA40
+data4  0x3F7F4C78,0x3B33C711,0xEBC394E8,0x3DCD1BD7
+data4  0x3F7F4488,0x3B3BBCC6,0x52E3E695,0xBDC3532B
+data4  0x3F7F3C90,0x3B43BAC0,0xE846B3DE,0xBDA3961E
+data4  0x3F7F34A0,0x3B4BB0F4,0x785778D4,0xBDDADF06
+data4  0x3F7F2CA8,0x3B53AF6D,0xE55CE212,0x3DCC3ED1
+data4  0x3F7F24B8,0x3B5BA620,0x9E382C15,0xBDBA3103
+data4  0x3F7F1CC8,0x3B639D12,0x5C5AF197,0x3D635A0B
+data4  0x3F7F14D8,0x3B6B9444,0x71D34EFC,0xBDDCCB19
+data4  0x3F7F0CE0,0x3B7393BC,0x52CD7ADA,0x3DC74502
+data4  0x3F7F04F0,0x3B7B8B6D,0x7D7F2A42,0xBDB68F17
+LOCAL_OBJECT_END(Constants_G_H_h3)
+
+LOCAL_OBJECT_START(lgammal_data)
+// Positive overflow value
+data8 0xB8D54C8BFFFDEBF4, 0x00007FF1
+LOCAL_OBJECT_END(lgammal_data)
+
+LOCAL_OBJECT_START(lgammal_Stirling)
+// Coefficients needed for Strirling's formula
+data8 0x3FED67F1C864BEB4 // High part of 0.5*ln(2*Pi)
+data8 0x3C94D252F2400510 // Low part of 0.5*ln(2*Pi)
+//
+// Bernulli numbers used in Striling's formula for -2^63 < |x| < -13.0
+//(B1H, B1L) = 8.3333333333333333333262747254e-02
+data8 0x3FB5555555555555, 0x3C55555555555555
+data8 0xB60B60B60B60B60B, 0x0000BFF6 //B2 = -2.7777777777777777777777777778e-03
+data8 0xD00D00D00D00D00D, 0x00003FF4 //B3 = 7.9365079365079365079365079365e-04
+data8 0x9C09C09C09C09C0A, 0x0000BFF4 //B4 = -5.9523809523809523809523809524e-04
+data8 0xDCA8F158C7F91AB8, 0x00003FF4 //B5 = 8.4175084175084175084175084175e-04
+data8 0xFB5586CCC9E3E410, 0x0000BFF5 //B6 = -1.9175269175269175269175269175e-03
+data8 0xD20D20D20D20D20D, 0x00003FF7 //B7 = 6.4102564102564102564102564103e-03
+data8 0xF21436587A9CBEE1, 0x0000BFF9 //B8 = -2.9550653594771241830065359477e-02
+data8 0xB7F4B1C0F033FFD1, 0x00003FFC //B9 = 1.7964437236883057316493849002e-01
+data8 0xB23B3808C0F9CF6E, 0x0000BFFF //B10 = -1.3924322169059011164274322169e+00
+// Polynomial coefficients for Stirling's formula, -13.0 < x < -6.0
+data8 0x3FB5555555555555, 0x3C4D75060289C58B //A0
+data8 0xB60B60B60B0F0876, 0x0000BFF6 //A1
+data8 0xD00D00CE54B1256C, 0x00003FF4 //A2
+data8 0x9C09BF46B58F75E1, 0x0000BFF4 //A3
+data8 0xDCA8483BC91ACC6D, 0x00003FF4 //A4
+data8 0xFB3965C939CC9FEE, 0x0000BFF5 //A5
+data8 0xD0723ADE3F0BC401, 0x00003FF7 //A6
+data8 0xE1ED7434E81F0B73, 0x0000BFF9 //A7
+data8 0x8069C6982F993283, 0x00003FFC //A8
+data8 0xC271F65BFA5BEE3F, 0x0000BFFD //A9
+LOCAL_OBJECT_END(lgammal_Stirling)
+
+LOCAL_OBJECT_START(lgammal_lnsin_data)
+// polynomial approximation of -ln(sin(Pi*x)/(Pi*x)), 0 < x <= 0.5
+data8 0x3FFA51A6625307D3, 0x3C81873332FAF94C //A2
+data8 0x8A8991563EC241C3, 0x00003FFE //A4
+data8 0xADA06588061805DF, 0x00003FFD //A6
+data8 0x80859B57C338D0F7, 0x00003FFD //A8
+data8 0xCD00F1C2D78754BD, 0x00003FFC //A10
+data8 0xAAB56B1D3A1F4655, 0x00003FFC //A12
+data8 0x924B6F2FBBED12B1, 0x00003FFC //A14
+data8 0x80008E58765F43FC, 0x00003FFC //A16
+data8 0x3FBC718EC115E429//A18
+data8 0x3FB99CE544FE183E//A20
+data8 0x3FB7251C09EAAD89//A22
+data8 0x3FB64A970733628C//A24
+data8 0x3FAC92D6802A3498//A26
+data8 0x3FC47E1165261586//A28
+data8 0xBFCA1BAA434750D4//A30
+data8 0x3FE460001C4D5961//A32
+data8 0xBFE6F06A3E4908AD//A34
+data8 0x3FE300889EBB203A//A36
+LOCAL_OBJECT_END(lgammal_lnsin_data)
+
+LOCAL_OBJECT_START(lgammal_half_3Q_data)
+// Polynomial coefficients for the lgammal(x), 0.5 <= x < 0.75
+data8 0xBFF7A648EE90C62E, 0x3C713F326857E066 // A3, A0L
+data8 0xBFF73E4B8BA780AE, 0xBCA953BC788877EF // A1, A1L
+data8 0x403774DCD58D0291, 0xC0415254D5AE6623 // D0, D1
+data8 0x40B07213855CBFB0, 0xC0B8855E25D2D229 // C20, C21
+data8 0x3FFB359F85FF5000, 0x3C9BAECE6EF9EF3A // A2, A2L
+data8 0x3FD717D498A3A8CC, 0xBC9088E101CFEDFA  // A0, A3L
+data8 0xAFEF36CC5AEC3FF0, 0x00004002 // E6
+data8 0xABE2054E1C34E791, 0x00004001 // E4
+data8 0xB39343637B2900D1, 0x00004000 // E2
+data8 0xD74FB710D53F58F6, 0x00003FFF // E0
+data8 0x4070655963BA4256, 0xC078DA9D263C4EA3 // D6, D7
+data8 0x405CD2B6A9B90978, 0xC065B3B9F4F4F171 // D4, D5
+data8 0x4049BC2204CF61FF, 0xC05337227E0BA152 // D2, D3
+data8 0x4095509A50C07A96, 0xC0A0747949D2FB45 // C18, C19
+data8 0x4082ECCBAD709414, 0xC08CD02FB088A702 // C16, C17
+data8 0xFFE4B2A61B508DD5, 0x0000C002 // E7
+data8 0xF461ADB8AE17E0A5, 0x0000C001 // E5
+data8 0xF5BE8B0B90325F20, 0x0000C000 // E3
+data8 0x877B275F3FB78DCA, 0x0000C000 // E1
+LOCAL_OBJECT_END(lgammal_half_3Q_data)
+
+LOCAL_OBJECT_START(lgammal_half_3Q_neg_data)
+// Polynomial coefficients for the lgammal(x), -0.75 < x <= -0.5
+data8 0xC014836EFD94899C, 0x3C9835679663B44F // A3, A0L
+data8 0xBFF276C7B4FB1875, 0xBC92D3D9FA29A1C0 // A1, A1L
+data8 0x40C5178F24E1A435, 0xC0D9DE84FBC5D76A // D0, D1
+data8 0x41D4D1B236BF6E93, 0xC1EBB0445CE58550 // C20, C21
+data8 0x4015718CD67F63D3, 0x3CC5354B6F04B59C // A2, A2L
+data8 0x3FF554493087E1ED, 0xBCB72715E37B02B9 // A0, A3L
+data8 0xE4AC7E915FA72229, 0x00004009 // E6
+data8 0xA28244206395FCC6, 0x00004007 // E4
+data8 0xFB045F19C07B2544, 0x00004004 // E2
+data8 0xE5C8A6E6A9BA7D7B, 0x00004002 // E0
+data8 0x4143943B55BF5118, 0xC158AC05EA675406 // D6, D7
+data8 0x4118F6833D19717C, 0xC12F51A6F375CC80 // D4, D5
+data8 0x40F00C209483481C, 0xC103F1DABF750259 // D2, D3
+data8 0x4191038F2D8F9E40, 0xC1A413066DA8AE4A // C18, C19
+data8 0x4170B537EDD833DE, 0xC1857E79424C61CE // C16, C17
+data8 0x8941D8AB4855DB73, 0x0000C00B // E7
+data8 0xBB822B131BD2E813, 0x0000C008 // E5
+data8 0x852B4C03B83D2D4F, 0x0000C006 // E3
+data8 0xC754CA7E2DDC0F1F, 0x0000C003 // E1
+LOCAL_OBJECT_END(lgammal_half_3Q_neg_data)
+
+LOCAL_OBJECT_START(lgammal_2Q_4_data)
+// Polynomial coefficients for the lgammal(x), 2.25 <= |x| < 4.0
+data8 0xBFCA4D55BEAB2D6F, 0x3C7ABC9DA14141F5 // A3, A0L
+data8 0x3FFD8773039049E7, 0x3C66CB7957A95BA4 // A1, A1L
+data8 0x3F45C3CC79E91E7D, 0xBF3A8E5005937E97 // D0, D1
+data8 0x3EC951E35E1C9203, 0xBEB030A90026C5DF // C20, C21
+data8 0x3FE94699894C1F4C, 0x3C91884D21D123F1 // A2, A2L
+data8 0x3FE62E42FEFA39EF, 0xBC66480CEB70870F // A0, A3L
+data8 0xF1C2EAFF0B3A7579, 0x00003FF5 // E6
+data8 0xB36AF863926B55A3, 0x00003FF7 // E4
+data8 0x9620656185BB44CA, 0x00003FF9 // E2
+data8 0xA264558FB0906AFF, 0x00003FFB // E0
+data8 0x3F03D59E9666C961, 0xBEF91115893D84A6 // D6, D7
+data8 0x3F19333611C46225, 0xBF0F89EB7D029870 // D4, D5
+data8 0x3F3055A96B347AFE, 0xBF243B5153E178A8 // D2, D3
+data8 0x3ED9A4AEF30C4BB2, 0xBED388138B1CEFF2 // C18, C19
+data8 0x3EEF7945A3C3A254, 0xBEE36F32A938EF11 // C16, C17
+data8 0x9028923F47C82118, 0x0000BFF5 // E7
+data8 0xCE0DAAFB6DC93B22, 0x0000BFF6 // E5
+data8 0xA0D0983B34AC4C8D, 0x0000BFF8 // E3
+data8 0x94D6C50FEB8B0CE7, 0x0000BFFA // E1
+LOCAL_OBJECT_END(lgammal_2Q_4_data)
+
+LOCAL_OBJECT_START(lgammal_4_8_data)
+// Polynomial coefficients for the lgammal(x), 4.0 <= |x| < 8.0
+data8 0xBFD6626BC9B31B54, 0x3CAA53C82493A92B // A3, A0L
+data8 0x401B4C420A50AD7C, 0x3C8C6E9929F789A3 // A1, A1L
+data8 0x3F49410427E928C2, 0xBF3E312678F8C146 // D0, D1
+data8 0x3ED51065F7CD5848, 0xBED052782A03312F // C20, C21
+data8 0x3FF735973273D5EC, 0x3C831DFC65BF8CCF // A2, A2L
+data8 0x401326643C4479C9, 0xBC6FA0498C5548A6 // A0, A3L
+data8 0x9382D8B3CD4EB7E3, 0x00003FF6 // E6
+data8 0xE9F92CAD8A85CBCD, 0x00003FF7 // E4
+data8 0xD58389FE38258CEC, 0x00003FF9 // E2
+data8 0x81310136363AE8AA, 0x00003FFC // E0
+data8 0x3F04F0AE38E78570, 0xBEF9E2144BB8F03C // D6, D7
+data8 0x3F1B5E992A6CBC2A, 0xBF10F3F400113911 // D4, D5
+data8 0x3F323EE00AAB7DEE, 0xBF2640FDFA9FB637 // D2, D3
+data8 0x3ED2143EBAFF067A, 0xBEBBDEB92D6FF35D // C18, C19
+data8 0x3EF173A42B69AAA4, 0xBEE78B9951A2EAA5 // C16, C17
+data8 0xAB3CCAC6344E52AA, 0x0000BFF5 // E7
+data8 0x81ACCB8915B16508, 0x0000BFF7 // E5
+data8 0xDA62C7221102C426, 0x0000BFF8 // E3
+data8 0xDF1BD44C4083580A, 0x0000BFFA // E1
+LOCAL_OBJECT_END(lgammal_4_8_data)
+
+LOCAL_OBJECT_START(lgammal_loc_min_data)
+// Polynomial coefficients for the lgammal(x), 1.3125 <= x < 1.5625
+data8 0xBB16C31AB5F1FB71, 0x00003FFF // xMin - point of local minimum
+data8 0xBFC2E4278DC6BC23, 0xBC683DA8DDCA9650 // A3, A0L
+data8 0x3BD4DB7D0CA61D5F, 0x386E719EDD01D801 // A1, A1L
+data8 0x3F4CC72638E1D93F, 0xBF4228EC9953CCB9 // D0, D1
+data8 0x3ED222F97A04613E,0xBED3DDD58095CB6C  // C20, C21
+data8 0x3FDEF72BC8EE38AB, 0x3C863AFF3FC48940 // A2, A2L
+data8 0xBFBF19B9BCC38A41,  0xBC7425F1BFFC1442// A0, A3L
+data8 0x941890032BEB34C3, 0x00003FF6 // E6
+data8 0xC7E701591CE534BC, 0x00003FF7 // E4
+data8 0x93373CBD05138DD4, 0x00003FF9 // E2
+data8 0x845A14A6A81C05D6, 0x00003FFB // E0
+data8 0x3F0F6C4DF6D47A13, 0xBF045DCDB5B49E19 // D6, D7
+data8 0x3F22E23345DDE59C, 0xBF1851159AFB1735 // D4, D5
+data8 0x3F37101EA4022B78, 0xBF2D721E6323AF13 // D2, D3
+data8 0x3EE691EBE82DF09D, 0xBEDD42550961F730 // C18, C19
+data8 0x3EFA793EDE99AD85, 0xBEF14000108E70BE // C16, C17
+data8 0xB7CBC033ACE0C99C, 0x0000BFF5 // E7
+data8 0xF178D1F7B1A45E27, 0x0000BFF6 // E5
+data8 0xA8FCFCA8106F471C, 0x0000BFF8 // E3
+data8 0x864D46FA898A9AD2, 0x0000BFFA // E1
+LOCAL_OBJECT_END(lgammal_loc_min_data)
+
+LOCAL_OBJECT_START(lgammal_03Q_1Q_data)
+// Polynomial coefficients for the lgammal(x), 0.75 <= |x| < 1.3125
+data8 0x3FD151322AC7D848, 0x3C7184DE0DB7B4EE // A4, A2L
+data8 0x3FD9A4D55BEAB2D6, 0x3C9E934AAB10845F // A3, A1L
+data8 0x3FB111289C381259, 0x3FAFFFCFB32AE18D // D2, D3
+data8 0x3FB3B1D9E0E3E00D, 0x3FB2496F0D3768DF // D0, D1
+data8 0xBA461972C057D439, 0x00003FFB         // E6
+data8 0x3FEA51A6625307D3, 0x3C76ABC886A72DA2 // A2, A4L
+data8 0x3FA8EFE46B32A70E, 0x3F8F31B3559576B6 // C17, C20
+data8 0xE403383700387D85, 0x00003FFB // E4
+data8 0x9381D0EE74BF7251, 0x00003FFC // E2
+data8 0x3FAA2177A6D28177, 0x3FA4895E65FBD995 // C18, C19
+data8 0x3FAAED2C77DBEE5D, 0x3FA94CA59385512C // D6, D7
+data8 0x3FAE1F522E8A5941, 0x3FAC785EF56DD87E // D4, D5
+data8 0x3FB556AD5FA56F0A, 0x3FA81F416E87C783 // E7, C16
+data8 0xCD00F1C2DC2C9F1E, 0x00003FFB // E5
+data8 0x3FE2788CFC6FB618, 0x3C8E52519B5B17CB // A1, A3L
+data8 0x80859B57C3E7F241, 0x00003FFC // E3
+data8 0xADA065880615F401, 0x00003FFC // E1
+data8 0xD45CE0BD530AB50E, 0x00003FFC // E0
+LOCAL_OBJECT_END(lgammal_03Q_1Q_data)
+
+LOCAL_OBJECT_START(lgammal_13Q_2Q_data)
+// Polynomial coefficients for the lgammal(x), 1.5625 <= |x| < 2.25
+data8 0x3F951322AC7D8483, 0x3C71873D88C6539D // A4, A2L
+data8 0xBFB13E001A557606, 0x3C56CB907018A101 // A3, A1L
+data8 0xBEC11B2EC1E7F6FC, 0x3EB0064ED9824CC7 // D2, D3
+data8 0xBEE3CBC963EC103A, 0x3ED2597A330C107D // D0, D1
+data8 0xBC6F2DEBDFE66F38, 0x0000BFF0 // E6
+data8 0x3FD4A34CC4A60FA6, 0x3C3AFC9BF775E8A0 // A2, A4L
+data8 0x3E48B0C542F85B32, 0xBE347F12EAF787AB // C17, C20
+data8 0xE9FEA63B6984FA1E, 0x0000BFF2 // E4
+data8 0x9C562E15FC703BBF, 0x0000BFF5 // E2
+data8 0xBE3C12A50AB0355E, 0xBE1C941626AE4717 // C18, C19
+data8 0xBE7AFA8714342BC4,0x3E69A12D2B7761CB // D6, D7
+data8 0xBE9E25EF1D526730, 0x3E8C762291889B99 // D4, D5
+data8 0x3EF580DCEE754733, 0xBE57C811D070549C // E7, C16
+data8 0xD093D878BE209C98, 0x00003FF1 // E5
+data8 0x3FDB0EE6072093CE, 0xBC6024B9E81281C4 // A1, A3L
+data8 0x859B57C31CB77D96, 0x00003FF4 // E3
+data8 0xBD6EB756DB617E8D, 0x00003FF6 // E1
+data8 0xF2027E10C7AF8C38, 0x0000BFF7 // E0
+LOCAL_OBJECT_END(lgammal_13Q_2Q_data)
+
+LOCAL_OBJECT_START(lgammal_8_10_data)
+// Polynomial coefficients for the lgammal(x), 8.0 <= |x| < 10.0
+// Multi Precision terms
+data8 0x40312008A3A23E5C, 0x3CE020B4F2E4083A //A1
+data8 0x4025358E82FCB70C, 0x3CD4A5A74AF7B99C //A0
+// Native precision terms
+data8 0xF0AA239FFBC616D2, 0x00004000 //A2
+data8 0x96A8EA798FE57D66, 0x0000BFFF //A3
+data8 0x8D501B7E3B9B9BDB, 0x00003FFE //A4
+data8 0x9EE062401F4B1DC2, 0x0000BFFD //A5
+data8 0xC63FD8CD31E93431, 0x00003FFC //A6
+data8 0x8461101709C23C30, 0x0000BFFC //A7
+data8 0xB96D7EA7EF3648B2, 0x00003FFB //A8
+data8 0x86886759D2ACC906, 0x0000BFFB //A9
+data8 0xC894B6E28265B183, 0x00003FFA //A10
+data8 0x98C4348CAD821662, 0x0000BFFA //A11
+data8 0xEC9B092226A94DF2, 0x00003FF9 //A12
+data8 0xB9F169FF9B98CDDC, 0x0000BFF9 //A13
+data8 0x9A3A32BB040894D3, 0x00003FF9 //A14
+data8 0xF9504CCC1003B3C3, 0x0000BFF8 //A15
+LOCAL_OBJECT_END(lgammal_8_10_data)
+
+LOCAL_OBJECT_START(lgammal_03Q_6_data)
+// Polynomial coefficients for the lgammal(x), 0.75 <= |x| < 1.0
+data8 0xBFBC47DCA479E295, 0xBC607E6C1A379D55 //A3
+data8 0x3FCA051C372609ED, 0x3C7B02D73EB7D831 //A0
+data8 0xBFE15FAFA86B04DB, 0xBC3F52EE4A8945B5 //A1
+data8 0x3FD455C4FF28F0BF, 0x3C75F8C6C99F30BB //A2
+data8 0xD2CF04CD934F03E1, 0x00003FFA //A4
+data8 0xDB4ED667E29256E1, 0x0000BFF9 //A5
+data8 0xF155A33A5B6021BF, 0x00003FF8 //A6
+data8 0x895E9B9D386E0338, 0x0000BFF8 //A7
+data8 0xA001BE94B937112E, 0x00003FF7 //A8
+data8 0xBD82846E490ED048, 0x0000BFF6 //A9
+data8 0xE358D24EC30DBB5D, 0x00003FF5 //A10
+data8 0x89C4F3652446B78B, 0x0000BFF5 //A11
+data8 0xA86043E10280193D, 0x00003FF4 //A12
+data8 0xCF3A2FBA61EB7682, 0x0000BFF3 //A13
+data8 0x3F300900CC9200EC //A14
+data8 0xBF23F42264B94AE8 //A15
+data8 0x3F18EEF29895FE73 //A16
+data8 0xBF0F3C4563E3EDFB //A17
+data8 0x3F0387DBBC385056 //A18
+data8 0xBEF81B4004F92900 //A19
+data8 0x3EECA6692A9A5B81 //A20
+data8 0xBEDF61A0059C15D3 //A21
+data8 0x3ECDA9F40DCA0111 //A22
+data8 0xBEB60FE788217BAF //A23
+data8 0x3E9661D795DFC8C6 //A24
+data8 0xBE66C7756A4EDEE5 //A25
+// Polynomial coefficients for the lgammal(x), 1.0 <= |x| < 2.0
+data8 0xBFC1AE55B180726B, 0xBC7DE1BC478453F5 //A3
+data8 0xBFBEEB95B094C191, 0xBC53456FF6F1C9D9 //A0
+data8 0x3FA2AED059BD608A, 0x3C0B65CC647D557F //A1
+data8 0x3FDDE9E64DF22EF2, 0x3C8993939A8BA8E4 //A2
+data8 0xF07C206D6B100CFF, 0x00003FFA //A4
+data8 0xED2CEA9BA52FE7FB, 0x0000BFF9 //A5
+data8 0xFCE51CED52DF3602, 0x00003FF8 //A6
+data8 0x8D45D27872326619, 0x0000BFF8 //A7
+data8 0xA2B78D6BCEBE27F7, 0x00003FF7 //A8
+data8 0xBF6DC0996A895B6F, 0x0000BFF6 //A9
+data8 0xE4B9AD335AF82D79, 0x00003FF5 //A10
+data8 0x8A451880195362A1, 0x0000BFF5 //A11
+data8 0xA8BE35E63089A7A9, 0x00003FF4 //A12
+data8 0xCF7FA175FA11C40C, 0x0000BFF3 //A13
+data8 0x3F300C282FAA3B02 //A14
+data8 0xBF23F6AEBDA68B80 //A15
+data8 0x3F18F6860E2224DD //A16
+data8 0xBF0F542B3CE32F28 //A17
+data8 0x3F039436218C9BF8 //A18
+data8 0xBEF8AE6307677AEC //A19
+data8 0x3EF0B55527B3A211 //A20
+data8 0xBEE576AC995E7605 //A21
+data8 0x3ED102DDC1365D2D //A22
+data8 0xBEC442184F97EA54 //A23
+data8 0x3ED4D2283DFE5FC6 //A24
+data8 0xBECB9219A9B46787 //A25
+// Polynomial coefficients for the lgammal(x), 2.0 <= |x| < 3.0
+data8 0xBFCA4D55BEAB2D6F, 0xBC66F80E5BFD5AF5 //A3
+data8 0x3FE62E42FEFA39EF, 0x3C7ABC9E3B347E3D //A0
+data8 0x3FFD8773039049E7, 0x3C66CB9007C426EA //A1
+data8 0x3FE94699894C1F4C, 0x3C918726EB111663 //A2
+data8 0xA264558FB0906209, 0x00003FFB //A4
+data8 0x94D6C50FEB902ADC, 0x0000BFFA //A5
+data8 0x9620656184243D17, 0x00003FF9 //A6
+data8 0xA0D0983B8BCA910B, 0x0000BFF8 //A7
+data8 0xB36AF8559B222BD3, 0x00003FF7 //A8
+data8 0xCE0DACB3260AE6E5, 0x0000BFF6 //A9
+data8 0xF1C2C0BF0437C7DB, 0x00003FF5 //A10
+data8 0x902A2F2F3AB74A92, 0x0000BFF5 //A11
+data8 0xAE05009B1B2C6E4C, 0x00003FF4 //A12
+data8 0xD5B71F6456D7D4CB, 0x0000BFF3 //A13
+data8 0x3F2F0351D71BC9C6 //A14
+data8 0xBF2B53BC56A3B793 //A15
+data8 0xBF18B12DC6F6B861 //A16
+data8 0xBF43EE6EB5215C2F //A17
+data8 0xBF5474787CDD455E //A18
+data8 0xBF642B503C9C060A //A19
+data8 0xBF6E07D1AA254AA3 //A20
+data8 0xBF71C785443AAEE8 //A21
+data8 0xBF6F67BF81B71052 //A22
+data8 0xBF63E4BCCF4FFABF //A23
+data8 0xBF50067F8C671D5A //A24
+data8 0xBF29C770D680A5AC //A25
+// Polynomial coefficients for the lgammal(x), 4.0 <= |x| < 6.0
+data8 0xBFD6626BC9B31B54, 0xBC85AABE08680902 //A3
+data8 0x401326643C4479C9, 0x3CAA53C26F31E364 //A0
+data8 0x401B4C420A50AD7C, 0x3C8C76D55E57DD8D //A1
+data8 0x3FF735973273D5EC, 0x3C83A0B78E09188A //A2
+data8 0x81310136363AAB6D, 0x00003FFC //A4
+data8 0xDF1BD44C4075C0E6, 0x0000BFFA //A5
+data8 0xD58389FE38D8D664, 0x00003FF9 //A6
+data8 0xDA62C7221D5B5F87, 0x0000BFF8 //A7
+data8 0xE9F92CAD0263E157, 0x00003FF7 //A8
+data8 0x81ACCB8606C165FE, 0x0000BFF7 //A9
+data8 0x9382D8D263D1C2A3, 0x00003FF6 //A10
+data8 0xAB3CCBA4C853B12C, 0x0000BFF5 //A11
+data8 0xCA0818BBCCC59296, 0x00003FF4 //A12
+data8 0xF18912691CBB5BD0, 0x0000BFF3 //A13
+data8 0x3F323EF5D8330339 //A14
+data8 0xBF2641132EA571F7 //A15
+data8 0x3F1B5D9576175CA9 //A16
+data8 0xBF10F56A689C623D //A17
+data8 0x3F04CACA9141A18D //A18
+data8 0xBEFA307AC9B4E85D //A19
+data8 0x3EF4B625939FBE32 //A20
+data8 0xBECEE6AC1420F86F //A21
+data8 0xBE9A95AE2E485964 //A22
+data8 0xBF039EF47F8C09BB //A23
+data8 0xBF05345957F7B7A9 //A24
+data8 0xBEF85AE6385D4CCC //A25
+// Polynomial coefficients for the lgammal(x), 3.0 <= |x| < 4.0
+data8 0xBFCA4D55BEAB2D6F, 0xBC667B20FF46C6A8 //A3
+data8 0x3FE62E42FEFA39EF, 0x3C7ABC9E3B398012 //A0
+data8 0x3FFD8773039049E7, 0x3C66CB9070238D77 //A1
+data8 0x3FE94699894C1F4C, 0x3C91873D8839B1CD //A2
+data8 0xA264558FB0906D7E, 0x00003FFB //A4
+data8 0x94D6C50FEB8AFD72, 0x0000BFFA //A5
+data8 0x9620656185B68F14, 0x00003FF9 //A6
+data8 0xA0D0983B34B7088A, 0x0000BFF8 //A7
+data8 0xB36AF863964AA440, 0x00003FF7 //A8
+data8 0xCE0DAAFB5497AFB8, 0x0000BFF6 //A9
+data8 0xF1C2EAFA79CC2864, 0x00003FF5 //A10
+data8 0x9028922A839572B8, 0x0000BFF5 //A11
+data8 0xAE1E62F870BA0278, 0x00003FF4 //A12
+data8 0xD4726F681E2ABA29, 0x0000BFF3 //A13
+data8 0x3F30559B9A02FADF //A14
+data8 0xBF243ADEB1266CAE //A15
+data8 0x3F19303B6F552603 //A16
+data8 0xBF0F768C288EC643 //A17
+data8 0x3F039D5356C21DE1 //A18
+data8 0xBEF81BCA8168E6BE //A19
+data8 0x3EEC74A53A06AD54 //A20
+data8 0xBEDED52D1A5DACDF //A21
+data8 0x3ECCB4C2C7087342 //A22
+data8 0xBEB4F1FAFDFF5C2F //A23
+data8 0x3E94C80B52D58904 //A24
+data8 0xBE64A328CBE92A27 //A25
+LOCAL_OBJECT_END(lgammal_03Q_6_data)
+
+LOCAL_OBJECT_START(lgammal_1pEps_data)
+// Polynomial coefficients for the lgammal(x), 1 - 2^(-7) <= |x| < 1 + 2^(-7)
+data8 0x93C467E37DB0C7A5, 0x00003FFE //A1
+data8 0xD28D3312983E9919, 0x00003FFE //A2
+data8 0xCD26AADF559A47E3, 0x00003FFD //A3
+data8 0x8A8991563EC22E81, 0x00003FFD //A4
+data8 0x3FCA8B9C168D52FE //A5
+data8 0x3FC5B40CB0696370 //A6
+data8 0x3FC270AC2229A65D //A7
+data8 0x3FC0110AF10FCBFC //A8
+// Polynomial coefficients for the log1p(x), - 2^(-7) <= |x| <  2^(-7)
+data8 0x3FBC71C71C71C71C //P8
+data8 0xBFC0000000000000 //P7
+data8 0x3FC2492492492492 //P6
+data8 0xBFC5555555555555 //P5
+data8 0x3FC999999999999A //P4
+data8 0xBFD0000000000000 //P3
+data8 0x3FD5555555555555 //P2
+data8 0xBFE0000000000000 //P1
+// short version of "lnsin" polynomial
+data8 0xD28D3312983E9918, 0x00003FFF //A2
+data8 0x8A8991563EC241B6, 0x00003FFE //A4
+data8 0xADA06588061830A5, 0x00003FFD //A6
+data8 0x80859B57C31CB746, 0x00003FFD //A8
+LOCAL_OBJECT_END(lgammal_1pEps_data)
+
+LOCAL_OBJECT_START(lgammal_neg2andHalf_data)
+// Polynomial coefficients for the lgammal(x), -2.005859375 <= x < -2.5
+data8 0xBF927781D4BB093A, 0xBC511D86D85B7045 // A3, A0L
+data8 0x3FF1A68793DEFC15, 0x3C9852AE2DA7DEEF // A1, A1L
+data8 0x408555562D45FAFD, 0xBF972CDAFE5FEFAD // D0, D1
+data8 0xC18682331EF492A5, 0xC1845E3E0D29606B // C20, C21
+data8 0x4013141822E16979, 0x3CCF8718B6E75F6C // A2, A2L
+data8 0xBFACCBF9F5ED0F15, 0xBBDD1AEB73297401 // A0, A3L
+data8 0xCCCDB17423046445, 0x00004006 // E6
+data8 0x800514E230A3A452, 0x00004005 // E4
+data8 0xAAE9A48EC162E76F, 0x00004003 // E2
+data8 0x81D4F88B3F3EA0FC, 0x00004002 // E0
+data8 0x40CF3F3E35238DA0, 0xC0F8B340945F1A7E // D6, D7
+data8 0x40BF89EC0BD609C6, 0xC095897242AEFEE2 // D4, D5
+data8 0x40A2482FF01DBC5C, 0xC02095E275FDCF62 // D2, D3
+data8 0xC1641354F2312A6A, 0xC17B3657F85258E9 // C18, C19
+data8 0xC11F964E9ECBE2C9, 0xC146D7A90F70696C // C16, C17
+data8 0xE7AECDE6AF8EA816, 0x0000BFEF // E7
+data8 0xD711252FEBBE1091, 0x0000BFEB // E5
+data8 0xE648BD10F8C43391, 0x0000BFEF // E3
+data8 0x948A1E78AA00A98D, 0x0000BFF4 // E1
+LOCAL_OBJECT_END(lgammal_neg2andHalf_data)
+
+LOCAL_OBJECT_START(lgammal_near_neg_half_data)
+// Polynomial coefficients for the lgammal(x), -0.5 < x < -0.40625
+data8 0xBFC1AE55B180726C, 0x3C8053CD734E6A1D // A3, A0L
+data8 0x3FA2AED059BD608A, 0x3C0CD3D2CDBA17F4 // A1, A1L
+data8 0x40855554DBCD1E1E, 0x3F96C51AC2BEE9E1 // D0, D1
+data8 0xC18682331EF4927D, 0x41845E3E0D295DFC // C20, C21
+data8 0x4011DE9E64DF22EF, 0x3CA692B70DAD6B7B // A2, A2L
+data8 0x3FF43F89A3F0EDD6, 0xBC4955AED0FA087D // A0, A3L
+data8 0xCCCD3F1DF4A2C1DD, 0x00004006 // E6
+data8 0x80028ADE33C7FCD9, 0x00004005 // E4
+data8 0xAACA474E485507EF, 0x00004003 // E2
+data8 0x80F07C206D6B0ECD, 0x00004002 // E0
+data8 0x40CF3F3E33E83056, 0x40F8B340944633D9 // D6, D7
+data8 0x40BF89EC059931F0, 0x409589723307AD20 // D4, D5
+data8 0x40A2482FD0054824, 0x402095CE7F19D011 // D2, D3
+data8 0xC1641354F2313614, 0x417B3657F8525354 // C18, C19
+data8 0xC11F964E9ECFD21C, 0x4146D7A90F701836 // C16, C17
+data8 0x86A9C01F0EA11E5A, 0x0000BFF5 // E7
+data8 0xBF6D8469142881C0, 0x0000BFF6 // E5
+data8 0x8D45D277BA8255F1, 0x0000BFF8 // E3
+data8 0xED2CEA9BA528BCC3, 0x0000BFF9 // E1
+LOCAL_OBJECT_END(lgammal_near_neg_half_data)
+
+//!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
+////////////// POLYNOMIAL COEFFICIENTS FOR "NEAR ROOTS" RANGES    /////////////
+////////////// THIS PART OF TABLE SHOULD BE ADDRESSED REALLY RARE /////////////
+//!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
+LOCAL_OBJECT_START(lgammal_right_roots_polynomial_data)
+// Polynomial coefficients for right root on [-3, -2]
+// Lgammal is aproximated by polynomial within [-.056244 ; .158208 ] range
+data8 0xBBBD5E9DCD11030B, 0xB867411D9FF87DD4 //A0
+data8 0x3FF83FE966AF535E, 0x3CAA21235B8A769A //A1
+data8 0x40136EEBB002F55C, 0x3CC3959A6029838E //A2
+data8 0xB4A5302C53C2BEDD, 0x00003FFF //A3
+data8 0x8B8C6BE504F2DA1C, 0x00004002 //A4
+data8 0xB99CFF02593B4D98, 0x00004001 //A5
+data8 0x4038D32F682AA1CF //A6
+data8 0x403809F04EE6C5B5 //A7
+data8 0x40548EAA81634CEE //A8
+data8 0x4059297ADB6BC03D //A9
+data8 0x407286FB8EC5C9DA //A10
+data8 0x407A92E05B744CFB //A11
+data8 0x4091A9D4144258CD //A12
+data8 0x409C4D01D24F367E //A13
+data8 0x40B1871B9A426A83 //A14
+data8 0x40BE51C48BD9A583 //A15
+data8 0x40D2140D0C6153E7 //A16
+data8 0x40E0FB2C989CE4A3 //A17
+data8 0x40E52739AB005641 //A18
+data8 0x41161E3E6DDF503A //A19
+// Polynomial coefficients for right root on [-4, -3]
+// Lgammal is aproximated by polynomial within [-.172797 ; .171573 ] range
+data8 0x3C172712B248E42E, 0x38CB8D17801A5D67 //A0
+data8 0x401F20A65F2FAC54, 0x3CCB9EA1817A824E //A1
+data8 0x4039D4D2977150EF, 0x3CDA42E149B6276A //A2
+data8 0xE089B8926AE2D9CB, 0x00004005 //A3
+data8 0x933901EBBB586C37, 0x00004008 //A4
+data8 0xCCD319BED1CFA1CD, 0x0000400A //A5
+data8 0x40D293C3F78D3C37 //A6
+data8 0x40FBB97AA0B6DD02 //A7
+data8 0x41251EA3345E5EB9 //A8
+data8 0x415057F65C92E7B0 //A9
+data8 0x41799C865241B505 //A10
+data8 0x41A445209EFE896B //A11
+data8 0x41D02D21880C953B //A12
+data8 0x41F9FFDE8C63E16D //A13
+data8 0x422504DC8302D2BE //A14
+data8 0x425111BF18C95414 //A15
+data8 0x427BCBE74A2B8EF7 //A16
+data8 0x42A7256F59B286F7 //A17
+data8 0x42D462D1586DE61F //A18
+data8 0x42FBB1228D6C5118 //A19
+// Polynomial coefficients for right root on [-5, -4]
+// Lgammal is aproximated by polynomial within [-.163171 ; .161988 ] range
+data8 0x3C5840FBAFDEE5BB, 0x38CAC0336E8C490A //A0
+data8 0x403ACA5CF4921642, 0x3CCEDCDDA5491E56 //A1
+data8 0x40744415CD813F8E, 0x3CFBFEBC17E39146 //A2
+data8 0xAACD88D954E3E1BD, 0x0000400B //A3
+data8 0xCB68C710D75ED802, 0x0000400F //A4
+data8 0x8130F5AB997277AC, 0x00004014 //A5
+data8 0x41855E3DBF99EBA7 //A6
+data8 0x41CD14FE49C49FC2 //A7
+data8 0x421433DCE281F07D //A8
+data8 0x425C8399C7A92B6F //A9
+data8 0x42A45FBE67840F1A //A10
+data8 0x42ED68D75F9E6C98 //A11
+data8 0x433567291C27E5BE //A12
+data8 0x437F5ED7A9D9FD28 //A13
+data8 0x43C720A65C8AB711 //A14
+data8 0x441120A6C1D40B9B //A15
+data8 0x44596F561F2D1CBE //A16
+data8 0x44A3507DA81D5C01 //A17
+data8 0x44EF06A31E39EEDF //A18
+data8 0x45333774C99F523F //A19
+// Polynomial coefficients for right root on [-6, -5]
+// Lgammal is aproximated by polynomial within [-.156450 ; .156126 ] range
+data8 0x3C71B82D6B2B3304, 0x3917186E3C0DC231 //A0
+data8 0x405ED72E0829AE02, 0x3C960C25157980EB //A1
+data8 0x40BCECC32EC22F9B, 0x3D5D8335A32F019C //A2
+data8 0x929EC2B1FB931F17, 0x00004012 //A3
+data8 0xD112EF96D37316DE, 0x00004018 //A4
+data8 0x9F00BB9BB13416AB, 0x0000401F //A5
+data8 0x425F7D8D5BDCB223 //A6
+data8 0x42C9A8D00C776CC6 //A7
+data8 0x433557FD8C481424 //A8
+data8 0x43A209221A953EF0 //A9
+data8 0x440EDC98D5618AB7 //A10
+data8 0x447AABD25E367378 //A11
+data8 0x44E73DE20CC3B288 //A12
+data8 0x455465257B4E0BD8 //A13
+data8 0x45C2011532085353 //A14
+data8 0x462FEE4CC191945B //A15
+data8 0x469C63AEEFEF0A7F //A16
+data8 0x4709D045390A3810 //A17
+data8 0x4778D360873C9F64 //A18
+data8 0x47E26965BE9A682A //A19
+// Polynomial coefficients for right root on [-7, -6]
+// Lgammal is aproximated by polynomial within [-.154582 ; .154521 ] range
+data8 0x3C75F103A1B00A48, 0x391C041C190C726D //A0
+data8 0x40869DE49E3AF2AA, 0x3D1C17E1F813063B //A1
+data8 0x410FCE23484CFD10, 0x3DB6F38C2F11DAB9 //A2
+data8 0xEF281D1E1BE2055A, 0x00004019 //A3
+data8 0xFCE3DA92AC55DFF8, 0x00004022 //A4
+data8 0x8E9EA838A20BD58E, 0x0000402C //A5
+data8 0x4354F21E2FB9E0C9 //A6
+data8 0x43E9500994CD4F09 //A7
+data8 0x447F3A2C23C033DF //A8
+data8 0x45139152656606D8 //A9
+data8 0x45A8D45F8D3BF2E8 //A10
+data8 0x463FD32110E5BFE5 //A11
+data8 0x46D490B3BDBAE0BE //A12
+data8 0x476AC3CAD905DD23 //A13
+data8 0x48018558217AD473 //A14
+data8 0x48970AF371D30585 //A15
+data8 0x492E6273A8BEFFE3 //A16
+data8 0x49C47CC9AE3F1073 //A17
+data8 0x4A5D38E8C35EFF45 //A18
+data8 0x4AF0123E89694CD8 //A19
+// Polynomial coefficients for right root on [-8, -7]
+// Lgammal is aproximated by polynomial within [-.154217 ; .154208 ] range
+data8 0xBCD2507D818DDD68, 0xB97F6940EA2871A0 //A0
+data8 0x40B3B407AA387BCB, 0x3D6320238F2C43D1 //A1
+data8 0x41683E85DAAFBAC7, 0x3E148D085958EA3A //A2
+data8 0x9F2A95AF1E10A548, 0x00004022 //A3
+data8 0x92F21522F482300E, 0x0000402E //A4
+data8 0x90B51AB03A1F244D, 0x0000403A //A5
+data8 0x44628E1C70EF534F //A6
+data8 0x452393E2BC32D244 //A7
+data8 0x45E5164141F4BA0B //A8
+data8 0x46A712B3A8AF5808 //A9
+data8 0x47698FD36CEDD0F2 //A10
+data8 0x482C9AE6BBAA3637 //A11
+data8 0x48F023821857C8E9 //A12
+data8 0x49B2569053FC106F //A13
+data8 0x4A74F646D5C1604B //A14
+data8 0x4B3811CF5ABA4934 //A15
+data8 0x4BFBB5DD6C84E233 //A16
+data8 0x4CC05021086F637B //A17
+data8 0x4D8450A345B0FB49 //A18
+data8 0x4E43825848865DB2 //A19
+// Polynomial coefficients for right root on [-9, -8]
+// Lgammal is aproximated by polynomial within [-.154160 ; .154158 ] range
+data8 0x3CDF4358564F2B46, 0x397969BEE6042F81 //A0
+data8 0x40E3B088FED67721, 0x3D82787BA937EE85 //A1
+data8 0x41C83A3893550EF4, 0x3E542ED57E244DA8 //A2
+data8 0x9F003C6DC56E0B8E, 0x0000402B //A3
+data8 0x92BDF64A3213A699, 0x0000403A //A4
+data8 0x9074F503AAD417AF, 0x00004049 //A5
+data8 0x4582843E1313C8CD //A6
+data8 0x467387BD6A7826C1 //A7
+data8 0x4765074E788CF440 //A8
+data8 0x4857004DD9D1E09D //A9
+data8 0x4949792ED7530EAF //A10
+data8 0x4A3C7F089A292ED3 //A11
+data8 0x4B30125BF0AABB86 //A12
+data8 0x4C224175195E307E //A13
+data8 0x4D14DC4C8B32C08D //A14
+data8 0x4E07F1DB2786197E //A15
+data8 0x4EFB8EA1C336DACB //A16
+data8 0x4FF03797EACD0F23 //A17
+data8 0x50E4304A8E68A730 //A18
+data8 0x51D3618FB2EC9F93 //A19
+// Polynomial coefficients for right root on [-10, -9]
+// Lgammal is aproximated by polynomial within [-.154152 ; .154152 ] range
+data8 0x3D42F34DA97ECF0C, 0x39FD1256F345B0D0 //A0
+data8 0x4116261203919787, 0x3DC12D44055588EB //A1
+data8 0x422EA8F32FB7FE99, 0x3ED849CE4E7B2D77 //A2
+data8 0xE25BAF73477A57B5, 0x00004034 //A3
+data8 0xEB021FD10060504A, 0x00004046 //A4
+data8 0x8220A208EE206C5F, 0x00004059 //A5
+data8 0x46B2C3903EC9DA14 //A6
+data8 0x47D64393744B9C67 //A7
+data8 0x48FAF79CCDC604DD //A8
+data8 0x4A20975DB8061EBA //A9
+data8 0x4B44AB9CBB38DB21 //A10
+data8 0x4C6A032F60094FE9 //A11
+data8 0x4D908103927634B4 //A12
+data8 0x4EB516CA21D30861 //A13
+data8 0x4FDB1BF12C58D318 //A14
+data8 0x510180AAE094A553 //A15
+data8 0x5226A8F2A2D45D57 //A16
+data8 0x534E00B6B0C8B809 //A17
+data8 0x5475022FE21215B2 //A18
+data8 0x5596B02BF6C5E19B //A19
+// Polynomial coefficients for right root on [-11, -10]
+// Lgammal is aproximated by polynomial within [-.154151 ; .154151 ] range
+data8 0x3D7AA9C2E2B1029C, 0x3A15FB37578544DB //A0
+data8 0x414BAF825A0C91D4, 0x3DFB9DA2CE398747 //A1
+data8 0x4297F3EC8AE0AF03, 0x3F34208B55FB8781 //A2
+data8 0xDD0C97D3197F56DE, 0x0000403E //A3
+data8 0x8F6F3AF7A5499674, 0x00004054 //A4
+data8 0xC68DA1AF6D878EEB, 0x00004069 //A5
+data8 0x47F1E4E1E2197CE0 //A6
+data8 0x494A8A28E597C3EB //A7
+data8 0x4AA4175D0D35D705 //A8
+data8 0x4BFEE6F0AF69E814 //A9
+data8 0x4D580FE7B3DBB3C6 //A10
+data8 0x4EB2ECE60E4608AF //A11
+data8 0x500E04BE3E2B4F24 //A12
+data8 0x5167F9450F0FB8FD //A13
+data8 0x52C342BDE747603F //A14
+data8 0x541F1699D557268C //A15
+data8 0x557927C5F079864E //A16
+data8 0x56D4D10FEEDB030C //A17
+data8 0x5832385DF86AD28A //A18
+data8 0x598898914B4D6523 //A19
+// Polynomial coefficients for right root on [-12, -11]
+// Lgammal is aproximated by polynomial within [-.154151 ; .154151 ] range
+data8 0xBD96F61647C58B03, 0xBA3ABB0C2A6C755B //A0
+data8 0x418308A82714B70D, 0x3E1088FC6A104C39 //A1
+data8 0x4306A493DD613C39, 0x3FB2341ECBF85741 //A2
+data8 0x8FA8FE98339474AB, 0x00004049 //A3
+data8 0x802CCDF570BA7942, 0x00004062 //A4
+data8 0xF3F748AF11A32890, 0x0000407A //A5
+data8 0x493E3B567EF178CF //A6
+data8 0x4ACED38F651BA362 //A7
+data8 0x4C600B357337F946 //A8
+data8 0x4DF0F71A52B54CCF //A9
+data8 0x4F8229F3B9FA2C70 //A10
+data8 0x5113A4C4979B770E //A11
+data8 0x52A56BC367F298D5 //A12
+data8 0x543785CF31842DC0 //A13
+data8 0x55C9FC37E3E40896 //A14
+data8 0x575CD5D1BA556C82 //A15
+data8 0x58F00A7AD99A9E08 //A16
+data8 0x5A824088688B008D //A17
+data8 0x5C15F75EF7E08EBD //A18
+data8 0x5DA462EA902F0C90 //A19
+// Polynomial coefficients for right root on [-13, -12]
+// Lgammal is aproximated by polynomial within [-.154151 ; .154151 ] range
+data8 0x3DC3191752ACFC9D, 0x3A26CB6629532DBF //A0
+data8 0x41BC8CFC051191BD, 0x3E68A84DA4E62AF2 //A1
+data8 0x43797926294A0148, 0x400F345FF3723CFF //A2
+data8 0xF26D2AF700B82625, 0x00004053 //A3
+data8 0xA238B24A4B1F7B15, 0x00004070 //A4
+data8 0xE793B5C0A41A264F, 0x0000408C //A5
+data8 0x4A9585BDDACE863D //A6
+data8 0x4C6075953448088A //A7
+data8 0x4E29B2F38D1FC670 //A8
+data8 0x4FF4619B079C440F //A9
+data8 0x51C05DAE118D8AD9 //A10
+data8 0x538A8C7F87326AD4 //A11
+data8 0x5555B6937588DAB3 //A12
+data8 0x5721E1F8B6E6A7DB //A13
+data8 0x58EDA1D7A77DD6E5 //A14
+data8 0x5AB8A9616B7DC9ED //A15
+data8 0x5C84942AA209ED17 //A16
+data8 0x5E518FC34C6F54EF //A17
+data8 0x601FB3F17BCCD9A0 //A18
+data8 0x61E61128D512FE97 //A1
+// Polynomial coefficients for right root on [-14, -13]
+// Lgammal is aproximated by polynomial within [-.154151 ; .154151 ] range
+data8 0xBE170D646421B3F5, 0xBAAD95F79FCB5097 //A0
+data8 0x41F7328CBFCD9AC7, 0x3E743B8B1E8AEDB1 //A1
+data8 0x43F0D0FA2DBDA237, 0x40A0422D6A227B55 //A2
+data8 0x82082DF2D32686CC, 0x0000405F //A3
+data8 0x8D64EE9B42E68B43, 0x0000407F //A4
+data8 0xA3FFD82E08C5F1F1, 0x0000409F //A5
+data8 0x4BF8C49D99123454 //A6
+data8 0x4DFEC79DDF11342F //A7
+data8 0x50038615A892F6BD //A8
+data8 0x520929453DB32EF1 //A9
+data8 0x54106A7808189A7F //A10
+data8 0x5615A302D03C207B //A11
+data8 0x581CC175AA736F5E //A12
+data8 0x5A233E071147C017 //A13
+data8 0x5C29E81917243F22 //A14
+data8 0x5E3184B0B5AC4707 //A15
+data8 0x6037C11DE62D8388 //A16
+data8 0x6240787C4B1C9D6C //A17
+data8 0x6448289235E80977 //A18
+data8 0x664B5352C6C3449E //A19
+// Polynomial coefficients for right root on [-15, -14]
+// Lgammal is aproximated by polynomial within [-.154151 ; .154151 ] range
+data8 0x3E562C2E34A9207D, 0x3ADC00DA3DFF7A83 //A0
+data8 0x42344C3B2F0D90AB, 0x3EB8A2E979F24536 //A1
+data8 0x4469BFFF28B50D07, 0x41181E3D05C1C294 //A2
+data8 0xAE38F64DCB24D9F8, 0x0000406A //A3
+data8 0xA5C3F52C1B350702, 0x0000408E //A4
+data8 0xA83BC857BCD67A1B, 0x000040B2 //A5
+data8 0x4D663B4727B4D80A //A6
+data8 0x4FA82C965B0F7788 //A7
+data8 0x51EAD58C02908D95 //A8
+data8 0x542E427970E073D8 //A9
+data8 0x56714644C558A818 //A10
+data8 0x58B3EC2040C77BAE //A11
+data8 0x5AF72AE6A83D45B1 //A12
+data8 0x5D3B214F611F5D12 //A13
+data8 0x5F7FF5E49C54E92A //A14
+data8 0x61C2E917AB765FB2 //A15
+data8 0x64066FD70907B4C1 //A16
+data8 0x664B3998D60D0F9B //A17
+data8 0x689178710782FA8B //A18
+data8 0x6AD14A66C1C7BEC3 //A19
+// Polynomial coefficients for right root on [-16, -15]
+// Lgammal is aproximated by polynomial within [-.154151 ; .154151 ] range
+data8 0xBE6D7E7192615BAE, 0xBB0137677D7CC719 //A0
+data8 0x4273077763F6628C, 0x3F09250FB8FC8EC9 //A1
+data8 0x44E6A1BF095B1AB3, 0x4178D5A74F6CB3B3 //A2
+data8 0x8F8E0D5060FCC76E, 0x00004076 //A3
+data8 0x800CC1DCFF092A63, 0x0000409E //A4
+data8 0xF3AB0BA9D14CDA72, 0x000040C5 //A5
+data8 0x4EDE3000A2F6D54F //A6
+data8 0x515EC613B9C8E241 //A7
+data8 0x53E003309FEEEA96 //A8
+data8 0x5660ED908D7C9A90 //A9
+data8 0x58E21E9B517B1A50 //A10
+data8 0x5B639745E4374EE2 //A11
+data8 0x5DE55BB626B2075D //A12
+data8 0x606772B7506BA747 //A13
+data8 0x62E9E581AB2E057B //A14
+data8 0x656CBAD1CF85D396 //A15
+data8 0x67EFF4EBD7989872 //A16
+data8 0x6A722D2B19B7E2F9 //A17
+data8 0x6CF5DEB3073B0743 //A18
+data8 0x6F744AC11550B93A //A19
+// Polynomial coefficients for right root on [-17, -16]
+// Lgammal is aproximated by polynomial within [-.154151 ; .154151 ] range
+data8 0xBEDCC6291188207E, 0xBB872E3FDD48F5B7 //A0
+data8 0x42B3076EE7525EF9, 0x3F6687A5038CA81C //A1
+data8 0x4566A1AAD96EBCB5, 0x421F0FEDFBF548D2 //A2
+data8 0x8F8D4D3DE9850DBA, 0x00004082 //A3
+data8 0x800BDD6DA2CE1859, 0x000040AE //A4
+data8 0xF3A8EC4C9CDC1CE5, 0x000040D9 //A5
+data8 0x505E2FAFDB812628 //A6
+data8 0x531EC5B3A7508719 //A7
+data8 0x55E002F77E99B628 //A8
+data8 0x58A0ED4C9B4DAE54 //A9
+data8 0x5B621E4A8240F90C //A10
+data8 0x5E2396E5C8849814 //A11
+data8 0x60E55B43D8C5CE71 //A12
+data8 0x63A7722F5D45D01D //A13
+data8 0x6669E4E010DCE45A //A14
+data8 0x692CBA120D5E78F6 //A15
+data8 0x6BEFF4045350B22E //A16
+data8 0x6EB22C9807C21819 //A17
+data8 0x7175DE20D04617C4 //A18
+data8 0x74344AB87C6D655F //A19
+// Polynomial coefficients for right root on [-18, -17]
+// Lgammal is aproximated by polynomial within [-.154151 ; .154151 ] range
+data8 0xBF28AEEE7B61D77C, 0xBBDBBB5FC57ABF79 //A0
+data8 0x42F436F56B3B8A0C, 0x3FA43EE3C5C576E9 //A1
+data8 0x45E98A22535D115D, 0x42984678BE78CC48 //A2
+data8 0xAC176F3775E6FCFC, 0x0000408E //A3
+data8 0xA3114F53A9FEB922, 0x000040BE //A4
+data8 0xA4D168A8334ABF41, 0x000040EE //A5
+data8 0x51E5B0E7EC7182BB //A6
+data8 0x54E77D67B876EAB6 //A7
+data8 0x57E9F7C30C09C4B6 //A8
+data8 0x5AED29B0488614CA //A9
+data8 0x5DF09486F87E79F9 //A10
+data8 0x60F30B199979654E //A11
+data8 0x63F60E02C7DCCC5F //A12
+data8 0x66F9B8A00EB01684 //A13
+data8 0x69FE2D3ED0700044 //A14
+data8 0x6D01C8363C7DCC84 //A15
+data8 0x700502B29C2F06E3 //A16
+data8 0x730962B4500F4A61 //A17
+data8 0x76103C6ED099192A //A18
+data8 0x79100C7132CFD6E3 //A19
+// Polynomial coefficients for right root on [-19, -18]
+// Lgammal is aproximated by polynomial within [-.154151 ; .154151 ] range
+data8 0x3F3C19A53328A0C3, 0x3BE04ADC3FBE1458 //A0
+data8 0x4336C16C16C16C19, 0x3FE58CE3AC4A7C28 //A1
+data8 0x46702E85C0898B70, 0x432C922E412CEC6E //A2
+data8 0xF57B99A1C034335D, 0x0000409A //A3
+data8 0x82EC9634223DF909, 0x000040CF //A4
+data8 0x94F66D7557E2EA60, 0x00004103 //A5
+data8 0x5376118B79AE34D0 //A6
+data8 0x56BAE7106D52E548 //A7
+data8 0x5A00BD48CC8E25AB //A8
+data8 0x5D4529722821B493 //A9
+data8 0x608B1654AF31BBC1 //A10
+data8 0x63D182CC98AEA859 //A11
+data8 0x6716D43D5EEB05E8 //A12
+data8 0x6A5DF884FC172E1C //A13
+data8 0x6DA3CA7EBB97976B //A14
+data8 0x70EA416D0BE6D2EF //A15
+data8 0x743176C31EBB65F2 //A16
+data8 0x7777C401A8715CF9 //A17
+data8 0x7AC1110C6D350440 //A18
+data8 0x7E02D0971CF84865 //A19
+// Polynomial coefficients for right root on [-20, -19]
+// Lgammal is aproximated by polynomial within [-.154151 ; .154151 ] range
+data8 0xBFAB767F9BE21803, 0xBC5ACEF5BB1BD8B5 //A0
+data8 0x4379999999999999, 0x4029241C7F5914C8 //A1
+data8 0x46F47AE147AE147A, 0x43AC2979B64B9D7E //A2
+data8 0xAEC33E1F67152993, 0x000040A7 //A3
+data8 0xD1B71758E219616F, 0x000040DF //A4
+data8 0x8637BD05AF6CF468, 0x00004118 //A5
+data8 0x55065E9F80F293DE //A6
+data8 0x588EADA78C44EE66 //A7
+data8 0x5C15798EE22DEF09 //A8
+data8 0x5F9E8ABFD644FA63 //A9
+data8 0x6325FD7FE29BD7CD //A10
+data8 0x66AFFC5C57E1F802 //A11
+data8 0x6A3774CD7D5C0181 //A12
+data8 0x6DC152724DE2A6FE //A13
+data8 0x7149BB138EB3D0C2 //A14
+data8 0x74D32FF8A70896C2 //A15
+data8 0x785D3749F9C72BD7 //A16
+data8 0x7BE5CCF65EBC4E40 //A17
+data8 0x7F641A891B5FC652 //A18
+data8 0x7FEFFFFFFFFFFFFF //A19
+LOCAL_OBJECT_END(lgammal_right_roots_polynomial_data)
+
+LOCAL_OBJECT_START(lgammal_left_roots_polynomial_data)
+// Polynomial coefficients for left root on [-3, -2]
+// Lgammal is aproximated by polynomial within [.084641 ; -.059553 ] range
+data8 0xBC0844590979B82E, 0xB8BC7CE8CE2ECC3B //A0
+data8 0xBFFEA12DA904B18C, 0xBC91A6B2BAD5EF6E //A1
+data8 0x4023267F3C265A51, 0x3CD7055481D03AED //A2
+data8 0xA0C2D618645F8E00, 0x0000C003 //A3
+data8 0xFA8256664F8CD2BE, 0x00004004 //A4
+data8 0xC2C422C103F57158, 0x0000C006 //A5
+data8 0x4084373F7CC70AF5 //A6
+data8 0xC0A12239BDD6BB95 //A7
+data8 0x40BDBA65E2709397 //A8
+data8 0xC0DA2D2504DFB085 //A9
+data8 0x40F758173CA5BF3C //A10
+data8 0xC11506C65C267E72 //A11
+data8 0x413318EE3A6B05FC //A12
+data8 0xC1517767F247DA98 //A13
+data8 0x41701237B4754D73 //A14
+data8 0xC18DB8A03BC5C3D8 //A15
+data8 0x41AB80953AC14A07 //A16
+data8 0xC1C9B7B76638D0A4 //A17
+data8 0x41EA727E3033E2D9 //A18
+data8 0xC20812C297729142 //A19
+//
+// Polynomial coefficients for left root on [-4, -3]
+// Lgammal is aproximated by polynomial within [.147147 ; -.145158 ] range
+data8 0xBC3130AE5C4F54DB, 0xB8ED23294C13398A //A0
+data8 0xC034B99D966C5646, 0xBCE2E5FE3BC3DBB9 //A1
+data8 0x406F76DEAE0436BD, 0x3D14974DDEC057BD //A2
+data8 0xE929ACEA5979BE96, 0x0000C00A //A3
+data8 0xF47C14F8A0D52771, 0x0000400E //A4
+data8 0x88B7BC036937481C, 0x0000C013 //A5
+data8 0x4173E8F3AB9FC266 //A6
+data8 0xC1B7DBBE062FB11B //A7
+data8 0x41FD2F76DE7A47A7 //A8
+data8 0xC242225FE53B124D //A9
+data8 0x4286D12AE2FBFA30 //A10
+data8 0xC2CCFFC267A3C4C0 //A11
+data8 0x431294E10008E014 //A12
+data8 0xC357FAC8C9A2DF6A //A13
+data8 0x439F2190AB9FAE01 //A14
+data8 0xC3E44C1D8E8C67C3 //A15
+data8 0x442A8901105D5A38 //A16
+data8 0xC471C4421E908C3A //A17
+data8 0x44B92CD4D59D6D17 //A18
+data8 0xC4FB3A078B5247FA //A19
+// Polynomial coefficients for left root on [-5, -4]
+// Lgammal is aproximated by polynomial within [.155671 ; -.155300 ] range
+data8 0xBC57BF3C6E8A94C1, 0xB902FB666934AC9E //A0
+data8 0xC05D224A3EF9E41F, 0xBCF6F5713913E440 //A1
+data8 0x40BB533C678A3955, 0x3D688E53E3C72538 //A2
+data8 0x869FBFF732E99B84, 0x0000C012 //A3
+data8 0xBA9537AD61392DEC, 0x00004018 //A4
+data8 0x89EAE8B1DEA06B05, 0x0000C01F //A5
+data8 0x425A8C5C53458D3C //A6
+data8 0xC2C5068B3ED6509B //A7
+data8 0x4330FFA575E99B4E //A8
+data8 0xC39BEC12DDDF7669 //A9
+data8 0x44073825725F74F9 //A10
+data8 0xC47380EBCA299047 //A11
+data8 0x44E084DD9B666437 //A12
+data8 0xC54C2DA6BF787ACF //A13
+data8 0x45B82D65C8D6FA42 //A14
+data8 0xC624D62113FE950A //A15
+data8 0x469200CC19B45016 //A16
+data8 0xC6FFDDC6DD938E2E //A17
+data8 0x476DD7C07184B9F9 //A18
+data8 0xC7D554A30085C052 //A19
+// Polynomial coefficients for left root on [-6, -5]
+// Lgammal is aproximated by polynomial within [.157425 ; -.157360 ] range
+data8 0x3C9E20A87C8B79F1, 0x39488BE34B2427DB //A0
+data8 0xC08661F6A43A5E12, 0xBD3D912526D759CC //A1
+data8 0x410F79DCB794F270, 0x3DB9BEE7CD3C1BF5 //A2
+data8 0xEB7404450D0005DB, 0x0000C019 //A3
+data8 0xF7AE9846DFE4D4AB, 0x00004022 //A4
+data8 0x8AF535855A95B6DA, 0x0000C02C //A5
+data8 0x43544D54E9FE240E //A6
+data8 0xC3E8684E40CE6CFC //A7
+data8 0x447DF44C1D803454 //A8
+data8 0xC512AC305439B2BA //A9
+data8 0x45A79226AF79211A //A10
+data8 0xC63E0DFF7244893A //A11
+data8 0x46D35216C3A83AF3 //A12
+data8 0xC76903BE0C390E28 //A13
+data8 0x48004A4DECFA4FD5 //A14
+data8 0xC8954FBD243DB8BE //A15
+data8 0x492BF3A31EB18DDA //A16
+data8 0xC9C2C6A864521F3A //A17
+data8 0x4A5AB127C62E8DA1 //A18
+data8 0xCAECF60EF3183C57 //A19
+// Polynomial coefficients for left root on [-7, -6]
+// Lgammal is aproximated by polynomial within [.157749 ; -.157739 ] range
+data8 0x3CC9B9E8B8D551D6, 0x3961813C8E1E10DB //A0
+data8 0xC0B3ABF7A5CEA91F, 0xBD55638D4BCB4CC4 //A1
+data8 0x4168349A25504236, 0x3E0287ECE50CCF76 //A2
+data8 0x9EC8ED6E4C219E67, 0x0000C022 //A3
+data8 0x9279EB1B799A3FF3, 0x0000402E //A4
+data8 0x90213EF8D9A5DBCF, 0x0000C03A //A5
+data8 0x4462775E857FB71C //A6
+data8 0xC52377E70B45FDBF //A7
+data8 0x45E4F3D28EDA8C28 //A8
+data8 0xC6A6E85571BD2D0B //A9
+data8 0x47695BB17E74DF74 //A10
+data8 0xC82C5AC0ED6A662F //A11
+data8 0x48EFF8159441C2E3 //A12
+data8 0xC9B22602C1B68AE5 //A13
+data8 0x4A74BA8CE7B34100 //A14
+data8 0xCB37C7E208482E4B //A15
+data8 0x4BFB5A1D57352265 //A16
+data8 0xCCC01CB3021212FF //A17
+data8 0x4D841613AC3431D1 //A18
+data8 0xCE431C9E9EE43AD9 //A19
+// Polynomial coefficients for left root on [-8, -7]
+// Lgammal is aproximated by polynomial within [.157799 ; -.157798 ] range
+data8 0xBCF9C7A33AD9478C, 0xB995B0470F11E5ED //A0
+data8 0xC0E3AF76FE4C2F8B, 0xBD8DBCD503250511 //A1
+data8 0x41C838E76CAAF0D5, 0x3E5D79F5E2E069C3 //A2
+data8 0x9EF345992B262CE0, 0x0000C02B //A3
+data8 0x92AE0292985FD559, 0x0000403A //A4
+data8 0x90615420C08F7D8C, 0x0000C049 //A5
+data8 0x45828139342CEEB7 //A6
+data8 0xC67384066C31E2D3 //A7
+data8 0x476502BC4DAC2C35 //A8
+data8 0xC856FAADFF22ADC6 //A9
+data8 0x49497243255AB3CE //A10
+data8 0xCA3C768489520F6B //A11
+data8 0x4B300D1EA47AF838 //A12
+data8 0xCC223B0508AC620E //A13
+data8 0x4D14D46583338CD8 //A14
+data8 0xCE07E7A87AA068E4 //A15
+data8 0x4EFB811AD2F8BEAB //A16
+data8 0xCFF0351B51508523 //A17
+data8 0x50E4364CCBF53100 //A18
+data8 0xD1D33CFD0BF96FA6 //A19
+// Polynomial coefficients for left root on [-9, -8]
+// Lgammal is aproximated by polynomial within [.157806 ; -.157806 ] range
+data8 0x3D333E4438B1B9D4, 0x39E7B956B83964C1 //A0
+data8 0xC11625EDFC63DCD8, 0xBDCF39625709EFAC //A1
+data8 0x422EA8C150480F16, 0x3EC16ED908AB7EDD //A2
+data8 0xE2598725E2E11646, 0x0000C034 //A3
+data8 0xEAFF2346DE3EBC98, 0x00004046 //A4
+data8 0x821E90DE12A0F05F, 0x0000C059 //A5
+data8 0x46B2C334AE5366FE //A6
+data8 0xC7D64314B43191B6 //A7
+data8 0x48FAF6ED5899E01B //A8
+data8 0xCA2096E4472AF37D //A9
+data8 0x4B44AAF49FB7E4C8 //A10
+data8 0xCC6A02469F2BD920 //A11
+data8 0x4D9080626D2EFC07 //A12
+data8 0xCEB515EDCF0695F7 //A13
+data8 0x4FDB1AC69BF36960 //A14
+data8 0xD1017F8274339270 //A15
+data8 0x5226A684961BAE2F //A16
+data8 0xD34E085C088404A5 //A17
+data8 0x547511892FF8960E //A18
+data8 0xD5968FA3B1ED67A9 //A19
+// Polynomial coefficients for left root on [-10, -9]
+// Lgammal is aproximated by polynomial within [.157807 ; -.157807 ] range
+data8 0xBD355818A2B42BA2, 0xB9B7320B6A0D61EA //A0
+data8 0xC14BAF7DA5F3770E, 0xBDE64AF9A868F719 //A1
+data8 0x4297F3E8791F9CD3, 0x3F2A553E59B4835E //A2
+data8 0xDD0C5F7E551BD13C, 0x0000C03E //A3
+data8 0x8F6F0A3B2EB08BBB, 0x00004054 //A4
+data8 0xC68D4D5AD230BA08, 0x0000C069 //A5
+data8 0x47F1E4D8C35D1A3E //A6
+data8 0xC94A8A191DB0A466 //A7
+data8 0x4AA4174F65FE6AE8 //A8
+data8 0xCBFEE6D90F94E9DD //A9
+data8 0x4D580FD3438BE16C //A10
+data8 0xCEB2ECD456D50224 //A11
+data8 0x500E049F7FE64546 //A12
+data8 0xD167F92D9600F378 //A13
+data8 0x52C342AE2B43261A //A14
+data8 0xD41F15DEEDA4B67E //A15
+data8 0x55792638748AFB7D //A16
+data8 0xD6D4D760074F6E6B //A17
+data8 0x5832469D58ED3FA9 //A18
+data8 0xD988769F3DC76642 //A19
+// Polynomial coefficients for left root on [-11, -10]
+// Lgammal is aproximated by polynomial within [.157807 ; -.157807 ] range
+data8 0xBDA050601F39778A, 0xBA0D4D1CE53E8241 //A0
+data8 0xC18308A7D8EA4039, 0xBE370C379D3EAD41 //A1
+data8 0x4306A49380644E6C, 0x3FBBB143C0E7B5C8 //A2
+data8 0x8FA8FB233E4AA6D2, 0x0000C049 //A3
+data8 0x802CC9D8AEAC207D, 0x00004062 //A4
+data8 0xF3F73EE651A37A13, 0x0000C07A //A5
+data8 0x493E3B550A7B9568 //A6
+data8 0xCACED38DAA060929 //A7
+data8 0x4C600B346BAB3BC6 //A8
+data8 0xCDF0F719193E3D26 //A9
+data8 0x4F8229F24528B151 //A10
+data8 0xD113A4C2D32FBBE2 //A11
+data8 0x52A56BC13DC4474D //A12
+data8 0xD43785CFAF5E3CE3 //A13
+data8 0x55C9FC3EA5941202 //A14
+data8 0xD75CD545A3341AF5 //A15
+data8 0x58F009911F77C282 //A16
+data8 0xDA8246294D210BEC //A17
+data8 0x5C1608AAC32C3A8E //A18
+data8 0xDDA446E570A397D5 //A19
+// Polynomial coefficients for left root on [-12, -11]
+// Lgammal is aproximated by polynomial within [.157807 ; -.157807 ] range
+data8 0x3DEACBB3081C502E, 0x3A8AA6F01DEDF745 //A0
+data8 0xC1BC8CFBFB0A9912, 0xBE6556B6504A2AE6 //A1
+data8 0x43797926206941D7, 0x40289A9644C2A216 //A2
+data8 0xF26D2A78446D0839, 0x0000C053 //A3
+data8 0xA238B1D937FFED38, 0x00004070 //A4
+data8 0xE793B4F6DE470538, 0x0000C08C //A5
+data8 0x4A9585BDC44DC45D //A6
+data8 0xCC60759520342C47 //A7
+data8 0x4E29B2F3694C0404 //A8
+data8 0xCFF4619AE7B6BBAB //A9
+data8 0x51C05DADF52B89E8 //A10
+data8 0xD38A8C7F48819A4A //A11
+data8 0x5555B6932D687860 //A12
+data8 0xD721E1FACB6C1B5B //A13
+data8 0x58EDA1E2677C8F91 //A14
+data8 0xDAB8A8EC523C1F71 //A15
+data8 0x5C84930133F30411 //A16
+data8 0xDE51952FDFD1EC49 //A17
+data8 0x601FCCEC1BBD25F1 //A18
+data8 0xE1E5F2D76B610920 //A19
+// Polynomial coefficients for left root on [-13, -12]
+// Lgammal is aproximated by polynomial within [.157807 ; -.157807 ] range
+data8 0xBE01612F373268ED, 0xBA97B7A18CDF103B //A0
+data8 0xC1F7328CBF7A4FAC, 0xBE89A25A6952F481 //A1
+data8 0x43F0D0FA2DBDA237, 0x40A0422EC1CE6084 //A2
+data8 0x82082DF2D32686C5, 0x0000C05F //A3
+data8 0x8D64EE9B42E68B36, 0x0000407F //A4
+data8 0xA3FFD82E08C630C9, 0x0000C09F //A5
+data8 0x4BF8C49D99123466 //A6
+data8 0xCDFEC79DDF1119ED //A7
+data8 0x50038615A892D242 //A8
+data8 0xD20929453DC8B537 //A9
+data8 0x54106A78083BA1EE //A10
+data8 0xD615A302C69E27B2 //A11
+data8 0x581CC175870FF16F //A12
+data8 0xDA233E0979E12B74 //A13
+data8 0x5C29E822BC568C80 //A14
+data8 0xDE31845DB5340FBC //A15
+data8 0x6037BFC6D498D5F9 //A16
+data8 0xE2407D92CD613E82 //A17
+data8 0x64483B9B62367EB7 //A18
+data8 0xE64B2DC830E8A799 //A1
+// Polynomial coefficients for left root on [-14, -13]
+// Lgammal is aproximated by polynomial within [.157807 ; -.157807 ] range
+data8 0x3E563D0B930B371F, 0x3AE779957E14F012 //A0
+data8 0xC2344C3B2F083767, 0xBEC0B7769AA3DD66 //A1
+data8 0x4469BFFF28B50D07, 0x41181E3F13ED2401 //A2
+data8 0xAE38F64DCB24D9EE, 0x0000C06A //A3
+data8 0xA5C3F52C1B3506F2, 0x0000408E //A4
+data8 0xA83BC857BCD6BA92, 0x0000C0B2 //A5
+data8 0x4D663B4727B4D81A //A6
+data8 0xCFA82C965B0F62E9 //A7
+data8 0x51EAD58C02905B71 //A8
+data8 0xD42E427970FA56AD //A9
+data8 0x56714644C57D8476 //A10
+data8 0xD8B3EC2037EC95F2 //A11
+data8 0x5AF72AE68BBA5B3D //A12
+data8 0xDD3B2152C67AA6B7 //A13
+data8 0x5F7FF5F082861B8B //A14
+data8 0xE1C2E8BE125A5B7A //A15
+data8 0x64066E92FE9EBE7D //A16
+data8 0xE64B4201CDF9F138 //A17
+data8 0x689186351E58AA88 //A18
+data8 0xEAD132A585DFC60A //A19
+// Polynomial coefficients for left root on [-15, -14]
+// Lgammal is aproximated by polynomial within [.157807 ; -.157807 ] range
+data8 0xBE6D7DDE12700AC1, 0xBB1E025BF1667FB5 //A0
+data8 0xC273077763F60AD5, 0xBF2A1698184C7A9A //A1
+data8 0x44E6A1BF095B1AB3, 0x4178D5AE8A4A2874 //A2
+data8 0x8F8E0D5060FCC767, 0x0000C076 //A3
+data8 0x800CC1DCFF092A57, 0x0000409E //A4
+data8 0xF3AB0BA9D14D37D1, 0x0000C0C5 //A5
+data8 0x4EDE3000A2F6D565 //A6
+data8 0xD15EC613B9C8C800 //A7
+data8 0x53E003309FEECCAA //A8
+data8 0xD660ED908D8B15C4 //A9
+data8 0x58E21E9B51A1C4AE //A10
+data8 0xDB639745DB82210D //A11
+data8 0x5DE55BB60C68FCF6 //A12
+data8 0xE06772BA3FCA23C6 //A13
+data8 0x62E9E58B4F702C31 //A14
+data8 0xE56CBA49B071ABE2 //A15
+data8 0x67EFF31E4F2BA36A //A16
+data8 0xEA7232C8804F32C3 //A17
+data8 0x6CF5EFEE929A0928 //A18
+data8 0xEF742EE03EC3E8FF //A19
+// Polynomial coefficients for left root on [-16, -15]
+// Lgammal is aproximated by polynomial within [.157807 ; -.157807 ] range
+data8 0xBEDCC628FEAC7A1B, 0xBB80582C8BEBB198 //A0
+data8 0xC2B3076EE752595E, 0xBF5388F55AFAE53E //A1
+data8 0x4566A1AAD96EBCB5, 0x421F0FEFE2444293 //A2
+data8 0x8F8D4D3DE9850DB2, 0x0000C082 //A3
+data8 0x800BDD6DA2CE184C, 0x000040AE //A4
+data8 0xF3A8EC4C9CDC7A43, 0x0000C0D9 //A5
+data8 0x505E2FAFDB81263F //A6
+data8 0xD31EC5B3A7506CD9 //A7
+data8 0x55E002F77E999810 //A8
+data8 0xD8A0ED4C9B5C2900 //A9
+data8 0x5B621E4A8267C401 //A10
+data8 0xDE2396E5BFCFDA7A //A11
+data8 0x60E55B43BE6F9A79 //A12
+data8 0xE3A772324C7405FA //A13
+data8 0x6669E4E9B7E57A2D //A14
+data8 0xE92CB989F8A8FB37 //A15
+data8 0x6BEFF2368849A36E //A16
+data8 0xEEB23234FE191D55 //A17
+data8 0x7175EF5D1080B105 //A18
+data8 0xF4342ED7B1B7BE31 //A19
+// Polynomial coefficients for left root on [-17, -16]
+// Lgammal is aproximated by polynomial within [.157807 ; -.157807 ] range
+data8 0xBF28AEEE7B58C790, 0xBBC4448DE371FA0A //A0
+data8 0xC2F436F56B3B89B1, 0xBF636755245AC63A //A1
+data8 0x45E98A22535D115D, 0x4298467DA93DB784 //A2
+data8 0xAC176F3775E6FCF2, 0x0000C08E //A3
+data8 0xA3114F53A9FEB908, 0x000040BE //A4
+data8 0xA4D168A8334AFE5A, 0x0000C0EE //A5
+data8 0x51E5B0E7EC7182CF //A6
+data8 0xD4E77D67B876D6B4 //A7
+data8 0x57E9F7C30C098C83 //A8
+data8 0xDAED29B0489EF7A7 //A9
+data8 0x5DF09486F8A524B8 //A10
+data8 0xE0F30B19910A2393 //A11
+data8 0x63F60E02AB3109F4 //A12
+data8 0xE6F9B8A3431854D5 //A13
+data8 0x69FE2D4A6D94218E //A14
+data8 0xED01C7E272A73560 //A15
+data8 0x7005017D82B186B6 //A16
+data8 0xF3096A81A69BD8AE //A17
+data8 0x76104951BAD67D5C //A18
+data8 0xF90FECC99786FD5B //A19
+// Polynomial coefficients for left root on [-18, -17]
+// Lgammal is aproximated by polynomial within [.157807 ; -.157807 ] range
+data8 0x3F3C19A53328E26A, 0x3BE238D7BA036B3B //A0
+data8 0xC336C16C16C16C13, 0xBFEACE245DEC56F3 //A1
+data8 0x46702E85C0898B70, 0x432C922B64FD1DA4 //A2
+data8 0xF57B99A1C0343350, 0x0000C09A //A3
+data8 0x82EC9634223DF90D, 0x000040CF //A4
+data8 0x94F66D7557E3237D, 0x0000C103 //A5
+data8 0x5376118B79AE34D6 //A6
+data8 0xD6BAE7106D52CE49 //A7
+data8 0x5A00BD48CC8E11AB //A8
+data8 0xDD4529722833E2DF //A9
+data8 0x608B1654AF5F46AF //A10
+data8 0xE3D182CC90D8723F //A11
+data8 0x6716D43D46706AA0 //A12
+data8 0xEA5DF888C5B428D3 //A13
+data8 0x6DA3CA85888931A6 //A14
+data8 0xF0EA40EF2AC7E070 //A15
+data8 0x743175D1A251AFCD //A16
+data8 0xF777CB6E2B550D73 //A17
+data8 0x7AC11E468A134A51 //A18
+data8 0xFE02B6BDD0FC40AA //A19
+// Polynomial coefficients for left root on [-19, -18]
+// Lgammal is aproximated by polynomial within [.157807 ; -.157807 ] range
+data8 0xBFAB767F9BE217FC, 0xBC4A5541CE0D8D0D //A0
+data8 0xC379999999999999, 0xC01A84981B490BE8 //A1
+data8 0x46F47AE147AE147A, 0x43AC2987BBC466EB //A2
+data8 0xAEC33E1F67152987, 0x0000C0A7 //A3
+data8 0xD1B71758E2196153, 0x000040DF //A4
+data8 0x8637BD05AF6D420E, 0x0000C118 //A5
+data8 0x55065E9F80F293B2 //A6
+data8 0xD88EADA78C44BFA7 //A7
+data8 0x5C15798EE22EC6CD //A8
+data8 0xDF9E8ABFD67895CF //A9
+data8 0x6325FD7FE13B0DE0 //A10
+data8 0xE6AFFC5C3DE70858 //A11
+data8 0x6A3774CE81C70D43 //A12
+data8 0xEDC1527412D8129F //A13
+data8 0x7149BABCDA8B7A72 //A14
+data8 0xF4D330AD49071BB5 //A15
+data8 0x785D4046F4C5F1FD //A16
+data8 0xFBE59BFEDBA73FAF //A17
+data8 0x7F64BEF2B2EC8DA1 //A18
+data8 0xFFEFFFFFFFFFFFFF //A19
+LOCAL_OBJECT_END(lgammal_left_roots_polynomial_data)
+
+
+//==============================================================
+// Code
+//==============================================================
+
+.section .text
+GLOBAL_LIBM_ENTRY(__libm_lgammal)
+{ .mfi
+      getf.exp           rSignExpX = f8
+      // Test x for NaTVal, NaN, +/-0, +/-INF, denormals
+      fclass.m           p6,p0  = f8,0x1EF
+      addl               r17Ones = 0x1FFFF, r0 // exponent mask
+}
+{ .mfi
+      addl               GR_ad_z_1 = @ltoff(Constants_Z_1#),gp
+      fcvt.fx.s1         fXint = f8 // Convert arg to int (int repres. in FR)
+      adds               rDelta = 0x3FC, r0
+}
+;;
+{ .mfi
+      getf.sig           rSignifX = f8
+      fcmp.lt.s1         p15, p14 = f8, f0
+      shl                rDelta = rDelta, 20 // single precision 1.5
+}
+{ .mfi
+      ld8                GR_ad_z_1 = [GR_ad_z_1]// get pointer to Constants_Z_1
+      fma.s1             fTwo = f1, f1, f1      // 2.0
+      addl               rExp8 = 0x10002, r0    // exponent of 8.0
+}
+;;
+{ .mfi
+      alloc              rPFS_SAVED = ar.pfs, 0, 34, 4, 0 // get some registers
+      fmerge.s           fAbsX = f1, f8                   // |x|
+      and                rExpX = rSignExpX, r17Ones       // mask sign bit
+}
+{ .mib
+      addl               rExpHalf = 0xFFFE, r0 // exponent of 0.5
+      addl               rExp2 = 0x10000, r0 // exponent of 2.0
+      // branch out if x is NaTVal, NaN, +/-0, +/-INF, or denormalized number
+(p6)  br.cond.spnt       lgammal_spec
+}
+;;
+_deno_back_to_main_path:
+{ .mfi
+      // Point to Constants_G_H_h1
+      add                rTbl1Addr = 0x040, GR_ad_z_1
+      frcpa.s1           fRcpX, p0 = f1, f8 // initial approximation of 1/x
+      extr.u             GR_Index1 = rSignifX, 59, 4
+}
+{ .mib
+(p14) cmp.ge.unc         p8, p0 = rExpX, rExp8 // p8 = 1 if x >= 8.0
+      adds               rZ625 = 0x3F2, r0
+(p8)  br.cond.spnt       lgammal_big_positive // branch out if x >= 8.0
+}
+;;
+{ .mfi
+      shladd             rZ1offsett = GR_Index1, 2, GR_ad_z_1  // Point to Z_1
+      fmerge.se          fSignifX =  f1, f8 // sifnificand of x
+      // Get high 15 bits of significand
+      extr.u             GR_X_0 = rSignifX, 49, 15
+}
+{ .mib
+      cmp.lt.unc         p9, p0 = rExpX, rExpHalf // p9 = 1 if |x| < 0.5
+      // set p11 if 2 <= x < 4
+(p14) cmp.eq.unc         p11, p0 = rExpX, rExp2
+(p9)  br.cond.spnt       lgammal_0_half // branch out if |x| < 0.5
+}
+;;
+{ .mfi
+      ld4                GR_Z_1 = [rZ1offsett] // Load Z_1
+      fms.s1             fA5L = f1, f1, f8 // for 0.75 <= x < 1.3125 path
+      shl                rZ625 = rZ625, 20 // sinfle precision 0.625
+}
+{ .mib
+      setf.s             FR_MHalf = rDelta
+      // set p10 if x >= 4.0
+(p14) cmp.gt.unc         p10, p0 = rExpX, rExp2
+      // branch to special path for 4.0 <= x < 8
+(p10) br.cond.spnt       lgammal_4_8
+}
+;;
+{ .mfi
+      // for 1.3125 <= x < 1.5625 path
+      addl               rPolDataPtr= @ltoff(lgammal_loc_min_data),gp
+      // argument of polynomial approximation for 1.5625 <= x < 2.25
+      fms.s1             fB4 = f8, f1, fTwo
+      cmp.eq             p12, p0 = rExpX, rExpHalf
+}
+{ .mib
+      addl               rExpOne = 0xFFFF, r0 // exponent of 1.0
+     // set p10 if significand of x >= 1.125
+(p11) cmp.le             p11, p0 = 2, GR_Index1
+(p11) br.cond.spnt       lgammal_2Q_4
+}
+;;
+{ .mfi
+      // point to xMin for 1.3125 <= x < 1.5625 path
+      ld8                rPolDataPtr = [rPolDataPtr]
+      fcvt.xf            fFltIntX = fXint // RTN(x)
+(p14) cmp.eq.unc         p13, p7 = rExpX, rExpOne // p13 set if 1.0 <= x < 2.0
+}
+{ .mib
+      setf.s             FR_FracX = rZ625
+      // set p12 if |x| < 0.75
+(p12) cmp.gt.unc         p12, p0 = 8, GR_Index1
+      // branch out to special path for |x| < 0.75
+(p12) br.cond.spnt       lgammal_half_3Q
+}
+;;
+.pred.rel "mutex", p7, p13
+{ .mfi
+      getf.sig           rXRnd = fXint // integer part of the input value
+      fnma.s1            fInvX = f8, fRcpX, f1 // start of 1st NR iteration
+      // Get bits 30-15 of X_0 * Z_1
+      pmpyshr2.u         GR_X_1 = GR_X_0,GR_Z_1,15
+}
+{ .mib
+(p7)  cmp.eq             p6, p0 = rExpX, rExp2 // p6 set if 2.0 <= x < 2.25
+(p13) cmp.le             p6, p0 = 9, GR_Index1
+      // branch to special path 1.5625 <= x < 2.25
+(p6)  br.cond.spnt       lgammal_13Q_2Q
+}
+;;
+//
+//    For performance, don't use result of pmpyshr2.u for 4 cycles.
+//
+{ .mfi
+      shladd             GR_ad_tbl_1 = GR_Index1, 4, rTbl1Addr // Point to G_1
+      fma.s1             fSix = fTwo, fTwo, fTwo // 6.0
+      add                GR_ad_q = -0x60, GR_ad_z_1   // Point to Constants_Q
+}
+{ .mib
+      add                rTmpPtr3 = -0x50, GR_ad_z_1
+(p13) cmp.gt             p7, p0 = 5, GR_Index1
+      // branch to special path 0.75 <= x < 1.3125
+(p7)  br.cond.spnt       lgammal_03Q_1Q
+}
+;;
+{ .mfi
+      add                rTmpPtr = 8, GR_ad_tbl_1
+      fma.s1             fRoot = f8, f1, f1 // x + 1
+       // Absolute value of int arg. Will be used as index in table with roots
+      sub                rXRnd = r0, rXRnd
+}
+{ .mib
+      ldfe               fA5L = [rPolDataPtr], 16 // xMin
+      addl               rNegSingularity = 0x3003E, r0
+(p14) br.cond.spnt       lgammal_loc_min
+}
+;;
+{ .mfi
+      ldfps              FR_G, FR_H = [GR_ad_tbl_1], 8 // Load G_1, H_1
+      nop.f              0
+      add                rZ2Addr = 0x140, GR_ad_z_1  // Point to Constants_Z_2
+}
+{ .mib
+      ldfd               FR_h = [rTmpPtr] // Load h_1
+      // If arg is less or equal to -2^63
+      cmp.geu.unc        p8,p0 = rSignExpX, rNegSingularity
+      // Singularity for x < -2^63 since all such arguments are integers
+      // branch to special code which deals with singularity
+(p8)  br.cond.spnt       lgammal_singularity
+}
+;;
+{ .mfi
+      ldfe               FR_log2_hi = [GR_ad_q], 32 // Load log2_hi
+      nop.f              0
+      extr.u             GR_Index2 = GR_X_1, 6, 4 // Extract bits 6-9 of X_1
+}
+{ .mfi
+      ldfe               FR_log2_lo = [rTmpPtr3], 32 // Load log2_lo
+      fms.s1             fDx = f8, f1, fFltIntX // x - RTN(x)
+      // index in table with roots and bounds
+      adds               rXint = -2, rXRnd
+}
+;;
+{ .mfi
+      ldfe               FR_Q4 = [GR_ad_q], 32      // Load Q4
+      nop.f              0
+      // set p12 if x may be close to negative root: -19.5 < x < -2.0
+      cmp.gtu            p12, p0 = 18, rXint
+}
+{ .mfi
+      shladd             GR_ad_z_2 = GR_Index2, 2, rZ2Addr  // Point to Z_2
+      fma.s1             fRcpX = fInvX, fRcpX, fRcpX // end of 1st NR iteration
+      // Point to Constants_G_H_h2
+      add                rTbl2Addr = 0x180, GR_ad_z_1
+}
+;;
+{ .mfi
+      shladd             GR_ad_tbl_2 = GR_Index2, 4, rTbl2Addr // Point to G_2
+      // set p9 if x is integer and negative
+      fcmp.eq.s1         p9, p0 = f8,fFltIntX
+      // Point to Constants_G_H_h3
+      add                rTbl3Addr = 0x280, GR_ad_z_1
+}
+{ .mfi
+      ld4                GR_Z_2 = [GR_ad_z_2] // Load Z_2
+      nop.f              0
+      sub                GR_N = rExpX, rExpHalf, 1
+}
+;;
+{ .mfi
+      ldfe               FR_Q3 = [rTmpPtr3], 32 // Load Q3
+      nop.f              0
+      // Point to lnsin polynomial coefficients
+      adds               rLnSinDataPtr = 864, rTbl3Addr
+}
+{ .mfi
+      ldfe               FR_Q2 = [GR_ad_q],32 // Load Q2
+      nop.f              0
+      add                rTmpPtr = 8, GR_ad_tbl_2
+}
+;;
+{ .mfi
+      ldfe               FR_Q1 = [rTmpPtr3] // Load Q1
+      fcmp.lt.s1         p0, p15 = fAbsX, fSix // p15 is set when x < -6.0
+      // point to table with roots and bounds
+      adds               rRootsBndAddr = -1296, GR_ad_z_1
+}
+{ .mfb
+      // Put integer N into rightmost significand
+      setf.sig           fFloatN = GR_N
+      fma.s1             fThirteen = fSix, fTwo, f1 // 13.0
+      // Singularity if -2^63 < x < 0 and x is integer
+      // branch to special code which deals with singularity
+(p9)  br.cond.spnt       lgammal_singularity
+}
+;;
+{ .mfi
+      ldfps              FR_G2, FR_H2 = [GR_ad_tbl_2]  // Load G_2, H_2
+      // y = |x|/2^(exponent(x)) - 1.5
+      fms.s1             FR_FracX = fSignifX, f1, FR_MHalf
+      // Get bits 30-15 of X_1 * Z_2
+      pmpyshr2.u         GR_X_2 = GR_X_1,GR_Z_2,15
+}
+{ .mfi
+      ldfd               FR_h2 = [rTmpPtr] // Load h_2
+      fma.s1             fDxSqr = fDx, fDx, f0 // deltaX^2
+      adds               rTmpPtr3 = 128, rLnSinDataPtr
+}
+;;
+//
+//    For performance, don't use result of pmpyshr2.u for 4 cycles.
+//
+{ .mfi
+      getf.exp           rRoot = fRoot // sign and biased exponent of (x + 1)
+      nop.f              0
+      // set p6 if -4 < x <= -2
+      cmp.eq             p6, p0 = rExpX, rExp2
+}
+{ .mfi
+      ldfpd              fLnSin2, fLnSin2L = [rLnSinDataPtr], 16
+      fnma.s1            fInvX = f8, fRcpX, f1 // start of 2nd NR iteration
+      sub                rIndexPol = rExpX, rExpHalf // index of polynom
+}
+;;
+{ .mfi
+      ldfe               fLnSin4 = [rLnSinDataPtr], 96
+      // p10 is set if x is potential "right" root
+      // p11 set for possible "left" root
+      fcmp.lt.s1         p10, p11 = fDx, f0
+      shl                rIndexPol = rIndexPol, 6  // (i*16)*4
+}
+{ .mfi
+      ldfpd              fLnSin18, fLnSin20 = [rTmpPtr3], 16
+      nop.f              0
+      mov                rExp2tom7 = 0x0fff8 // Exponent of 2^-7
+}
+;;
+{ .mfi
+      getf.sig           rSignifDx = fDx // Get significand of RTN(x)
+      nop.f              0
+      // set p6 if -4 < x <= -3.0
+(p6)  cmp.le.unc         p6, p0 = 0x8, GR_Index1
+}
+{ .mfi
+      ldfpd              fLnSin22, fLnSin24 = [rTmpPtr3], 16
+      nop.f              0
+      // mask sign bit in the exponent of (x + 1)
+      and                rRoot = rRoot, r17Ones
+}
+;;
+{ .mfi
+      ldfe               fLnSin16 = [rLnSinDataPtr], -80
+      nop.f              0
+      extr.u             GR_Index3 = GR_X_2, 1, 5 // Extract bits 1-5 of X_2
+}
+{ .mfi
+      ldfpd              fLnSin26, fLnSin28 = [rTmpPtr3], 16
+      nop.f              0
+      and                rXRnd = 1, rXRnd
+}
+;;
+{ .mfi
+      shladd             GR_ad_tbl_3 = GR_Index3, 4, rTbl3Addr // Point to G_3
+      fms.s1             fDxSqrL = fDx, fDx, fDxSqr // low part of deltaX^2
+      // potential "left" root
+(p11) adds               rRootsBndAddr = 560, rRootsBndAddr
+}
+{ .mib
+      ldfpd              fLnSin30, fLnSin32 = [rTmpPtr3], 16
+      // set p7 if |x+1| < 2^-7
+      cmp.lt             p7, p0 =  rRoot, rExp2tom7
+      // branch to special path for |x+1| < 2^-7
+(p7)  br.cond.spnt       _closeToNegOne
+}
+;;
+{ .mfi
+      ldfps              FR_G3, FR_H3 = [GR_ad_tbl_3], 8 // Load G_3, H_3
+      fcmp.lt.s1         p14, p0 = fAbsX, fThirteen // set p14 if x > -13.0
+      // base address of polynomial on range [-6.0, -0.75]
+      adds               rPolDataPtr = 3440, rTbl3Addr
+}
+{ .mfi
+      // (i*16)*4 + (i*16)*8 - offsett of polynomial on range [-6.0, -0.75]
+      shladd             rTmpPtr = rIndexPol, 2, rIndexPol
+      fma.s1             fXSqr = FR_FracX, FR_FracX, f0 // y^2
+      // point to left "near root" bound
+(p12) shladd             rRootsBndAddr = rXint, 4, rRootsBndAddr
+}
+;;
+{ .mfi
+      ldfpd              fLnSin34, fLnSin36 = [rTmpPtr3], 16
+      fma.s1             fRcpX = fInvX, fRcpX, fRcpX // end of 2nd NR iteration
+      // add special offsett if -4 < x <= -3.0
+(p6)  adds               rPolDataPtr = 640, rPolDataPtr
+}
+{ .mfi
+      // point to right "near root" bound
+      adds               rTmpPtr2 = 8, rRootsBndAddr
+      fnma.s1            fMOne = f1, f1, f0 // -1.0
+      // Point to Bernulli numbers
+      adds               rBernulliPtr = 544, rTbl3Addr
+}
+;;
+{ .mfi
+      // left bound of "near root" range
+(p12) ld8                rLeftBound = [rRootsBndAddr]
+      fmerge.se          fNormDx = f1, fDx // significand of DeltaX
+      // base address + offsett for polynomial coeff. on range [-6.0, -0.75]
+      add                rPolDataPtr = rPolDataPtr, rTmpPtr
+}
+{ .mfi
+      // right bound of "near root" range
+(p12) ld8                rRightBound = [rTmpPtr2]
+      fcvt.xf            fFloatN = fFloatN
+      // special "Bernulli" numbers for Stirling's formula for -13 < x < -6
+(p14) adds               rBernulliPtr = 160, rBernulliPtr
+}
+;;
+{ .mfi
+      ldfd               FR_h3 = [GR_ad_tbl_3] // Load h_3
+      fmpy.s1            FR_G = FR_G, FR_G2 // G = G_1 * G_2
+      adds               rTmpPtr3 = -160, rTmpPtr3
+}
+{ .mfb
+      adds               rTmpPtr = 80, rPolDataPtr
+      fadd.s1            FR_H = FR_H, FR_H2 // H = H_1 + H_2
+      // p15 is set if -2^63 < x < 6.0 and x is not an integer
+      // branch to path with implementation using Stirling's formula for neg. x
+(p15) br.cond.spnt       _negStirling
+}
+;;
+{ .mfi
+      ldfpd              fA3, fA3L = [rPolDataPtr], 16 // A3
+      fma.s1             fDelX4 = fDxSqr, fDxSqr, f0 // deltaX^4
+      // Get high 4 bits of signif
+      extr.u             rIndex1Dx = rSignifDx, 59, 4
+}
+{ .mfi
+      ldfe               fA5 = [rTmpPtr], -16 // A5
+      fadd.s1            FR_h = FR_h, FR_h2 // h = h_1 + h_2
+      adds               rLnSinTmpPtr = 16, rLnSinDataPtr
+}
+;;
+{ .mfi
+      ldfpd              fA0, fA0L = [rPolDataPtr], 16 // A0
+      fma.s1             fLnSin20 = fLnSin20, fDxSqr, fLnSin18
+      // Get high 15 bits of significand
+      extr.u             rX0Dx = rSignifDx, 49, 15
+}
+{ .mfi
+      ldfe               fA4 = [rTmpPtr], 192 // A4
+      fms.s1             fXSqrL = FR_FracX, FR_FracX, fXSqr // low part of y^2
+      shladd             GR_ad_z_1 = rIndex1Dx, 2, GR_ad_z_1 // Point to Z_1
+}
+;;
+{ .mfi
+      ldfpd              fA1, fA1L = [rPolDataPtr], 16 // A1
+      fma.s1             fX4 = fXSqr, fXSqr, f0 // y^4
+      adds               rTmpPtr2 = 32, rTmpPtr
+}
+{ .mfi
+      ldfpd              fA18, fA19 = [rTmpPtr], 16 // A18, A19
+      fma.s1             fLnSin24 = fLnSin24, fDxSqr, fLnSin22
+      nop.i              0
+}
+;;
+{ .mfi
+      ldfe               fLnSin6 = [rLnSinDataPtr], 32
+      fma.s1             fLnSin28 = fLnSin28, fDxSqr, fLnSin26
+      nop.i              0
+}
+{ .mfi
+      ldfe               fLnSin8 = [rLnSinTmpPtr], 32
+      nop.f              0
+      nop.i              0
+}
+;;
+{ .mfi
+      ldfpd              fA20, fA21 = [rTmpPtr], 16 // A20, A21
+      fma.s1             fLnSin32 = fLnSin32, fDxSqr, fLnSin30
+      nop.i              0
+}
+{ .mfi
+      ldfpd              fA22, fA23 = [rTmpPtr2], 16 // A22, A23
+      fma.s1             fB20 = f1, f1, FR_MHalf // 2.5
+(p12) cmp.ltu.unc        p6, p0 = rSignifX, rLeftBound
+}
+;;
+{ .mfi
+      ldfpd              fA2, fA2L = [rPolDataPtr], 16 // A2
+      fmpy.s1            FR_G = FR_G, FR_G3 // G = (G_1 * G_2) * G_3
+      // set p6 if x falls in "near root" range
+(p6)  cmp.geu.unc        p6, p0 = rSignifX, rRightBound
+}
+{ .mfb
+      adds               rTmpPtr3 = -64, rTmpPtr
+      fadd.s1            FR_H = FR_H, FR_H3 // H = (H_1 + H_2) + H_3
+      // branch to special path if x falls in "near root" range
+(p6)  br.cond.spnt       _negRoots
+}
+;;
+{ .mfi
+      ldfpd              fA24, fA25 = [rTmpPtr2], 16 // A24, A25
+      fma.s1             fLnSin36 = fLnSin36, fDxSqr, fLnSin34
+(p11) cmp.eq.unc         p7, p0 = 1,rXint // p7 set if  -3.0 < x < -2.5
+}
+{ .mfi
+      adds               rTmpPtr = -48, rTmpPtr
+      fma.s1             fLnSin20 = fLnSin20, fDxSqr, fLnSin16
+      addl               rDelta = 0x5338, r0 // significand of -2.605859375
+}
+;;
+{ .mfi
+      getf.exp           GR_N =  fDx // Get N = exponent of DeltaX
+      fma.s1             fX6 = fX4, fXSqr, f0 // y^6
+      // p7 set if -2.605859375 <= x < -2.5
+(p7)  cmp.gt.unc         p7, p0 = rDelta, GR_X_0
+}
+{ .mfb
+      ld4                GR_Z_1 = [GR_ad_z_1] // Load Z_1
+      fma.s1             fDelX8 = fDelX4, fDelX4, f0 // deltaX^8
+      // branch to special path for -2.605859375 <= x < -2.5
+(p7)  br.cond.spnt       _neg2andHalf
+}
+;;
+{ .mfi
+      ldfpd              fA14, fA15 = [rTmpPtr3], 16 // A14, A15
+      fadd.s1            FR_h = FR_h, FR_h3 // h = (h_1 + h_2) + h_3
+      adds               rTmpPtr2 = 128 , rPolDataPtr
+}
+{ .mfi
+      ldfpd              fA16, fA17 = [rTmpPtr], 16 // A16, A17
+      fma.s1             fLnSin28 = fLnSin28, fDelX4, fLnSin24
+      adds               rPolDataPtr = 144 , rPolDataPtr
+}
+;;
+{ .mfi
+      ldfe               fLnSin10 = [rLnSinDataPtr], 32
+      fma.s1             fRes1H = fA3, FR_FracX, f0 // (A3*y)hi
+      and                GR_N = GR_N, r17Ones // mask sign bit
+}
+{ .mfi
+      ldfe               fLnSin12 = [rLnSinTmpPtr]
+      fma.s1             fDelX6 = fDxSqr, fDelX4, f0 // DeltaX^6
+      shladd             GR_ad_tbl_1 = rIndex1Dx, 4, rTbl1Addr // Point to G_1
+}
+;;
+{ .mfi
+      ldfe               fA13 = [rPolDataPtr], -32 // A13
+      fma.s1             fA4 = fA5, FR_FracX, fA4   // A5*y + A4
+      // Get bits 30-15 of X_0 * Z_1
+      pmpyshr2.u         GR_X_1 = rX0Dx, GR_Z_1, 15
+}
+{ .mfi
+      ldfe               fA12 = [rTmpPtr2], -32 // A12
+      fms.s1             FR_r = FR_G, fSignifX, f1 // r = G * S_hi - 1
+      sub                GR_N = GR_N, rExpHalf, 1 // unbisaed exponent of DeltaX
+}
+;;
+//
+//    For performance, don't use result of pmpyshr2.u for 4 cycles.
+//
+.pred.rel "mutex",p10,p11
+{ .mfi
+      ldfe               fA11 = [rPolDataPtr], -32 // A11
+      // High part of log(|x|) = Y_hi = N * log2_hi + H
+      fma.s1             fResH = fFloatN, FR_log2_hi, FR_H
+(p10) cmp.eq             p8, p9 = rXRnd, r0
+}
+{ .mfi
+      ldfe               fA10 = [rTmpPtr2], -32 // A10
+      fma.s1             fRes6H = fA1, FR_FracX, f0 // (A1*y)hi
+(p11) cmp.eq             p9, p8 = rXRnd, r0
+}
+;;
+{ .mfi
+      ldfe               fA9 = [rPolDataPtr], -32 // A9
+      fma.s1             fB14 = fLnSin6, fDxSqr, f0 // (LnSin6*deltaX^2)hi
+      cmp.eq             p6, p7 = 4, rSgnGamSize
+}
+{ .mfi
+      ldfe               fA8 = [rTmpPtr2], -32 // A8
+      fma.s1             fA18 = fA19, FR_FracX, fA18
+      nop.i              0
+}
+;;
+{ .mfi
+      ldfe               fA7 = [rPolDataPtr] // A7
+      fma.s1             fA23 = fA23, FR_FracX, fA22
+      nop.i              0
+}
+{ .mfi
+      ldfe               fA6 = [rTmpPtr2] // A6
+      fma.s1             fA21 = fA21, FR_FracX, fA20
+      nop.i              0
+}
+;;
+{ .mfi
+      ldfe               fLnSin14 = [rLnSinDataPtr]
+      fms.s1             fRes1L = fA3, FR_FracX, fRes1H // delta((A3*y)hi)
+      extr.u             GR_Index2 = GR_X_1, 6, 4 // Extract bits 6-9 of X_1
+}
+{ .mfi
+      setf.sig           fFloatNDx = GR_N
+      fadd.s1            fPol = fRes1H, fA2 // (A3*y + A2)hi
+      nop.i              0
+}
+;;
+{ .mfi
+      ldfps              FR_G, FR_H = [GR_ad_tbl_1], 8 // Load G_1, H_1
+      fma.s1             fRes2H = fA4, fXSqr, f0 // ((A5 + A4*y)*y^2)hi
+      nop.i              0
+}
+{ .mfi
+      shladd             GR_ad_z_2 = GR_Index2, 2, rZ2Addr  // Point to Z_2
+      fma.s1             fA25 = fA25, FR_FracX, fA24
+      shladd             GR_ad_tbl_2 = GR_Index2, 4, rTbl2Addr  // Point to G_2
+}
+;;
+.pred.rel "mutex",p8,p9
+{ .mfi
+      ld4                GR_Z_2 = [GR_ad_z_2] // Load Z_2
+      fms.s1             fRes6L = fA1, FR_FracX, fRes6H // delta((A1*y)hi)
+      // sign of GAMMA(x) is negative
+(p8)  adds               rSgnGam = -1, r0
+}
+{ .mfi
+      adds               rTmpPtr = 8, GR_ad_tbl_2
+      fadd.s1            fRes3H = fRes6H, fA0 // (A1*y + A0)hi
+      // sign of GAMMA(x) is positive
+(p9)  adds               rSgnGam = 1, r0
+}
+;;
+{ .mfi
+      ldfps              FR_G2, FR_H2 = [GR_ad_tbl_2] // Load G_2, H_2
+      // (LnSin6*deltaX^2 + LnSin4)hi
+      fadd.s1            fLnSinH = fB14, fLnSin4
+      nop.i              0
+}
+{ .mfi
+      ldfd               FR_h2 = [rTmpPtr] // Load h_2
+      fms.s1             fB16 = fLnSin6, fDxSqr, fB14 // delta(LnSin6*deltaX^2)
+      nop.i              0
+}
+;;
+{ .mfi
+      ldfd               fhDelX = [GR_ad_tbl_1] // Load h_1
+      fma.s1             fA21 = fA21, fXSqr, fA18
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fLnSin36 = fLnSin36, fDelX4, fLnSin32
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fRes1L = fA3L, FR_FracX, fRes1L // (A3*y)lo
+      // Get bits 30-15 of X_1 * Z_
+      pmpyshr2.u         GR_X_2 = GR_X_1,GR_Z_2,15
+}
+{ .mfi
+      nop.m              0
+      fsub.s1            fPolL = fA2, fPol
+      nop.i              0
+}
+;;
+//
+//    For performance, don't use result of pmpyshr2.u for 4 cycles.
+//
+{ .mfi
+      nop.m              0
+     // delta(((A5 + A4*y)*y^2)hi)
+      fms.s1             fRes2L = fA4, fXSqr, fRes2H
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      // (((A5 + A4*y)*y^2) + A3*y + A2)hi
+      fadd.s1            fRes4H = fRes2H, fPol
+      nop.i              0
+}
+;;
+{ .mfi
+      // store signgam if size of variable is 4 bytes
+(p6)  st4                [rSgnGamAddr] = rSgnGam
+      fma.s1             fRes6L = fA1L, FR_FracX, fRes6L // (A1*y)lo
+      nop.i              0
+}
+{ .mfi
+      // store signgam if size of variable is 8 bytes
+(p7)  st8                [rSgnGamAddr] = rSgnGam
+      fsub.s1            fRes3L = fA0, fRes3H
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fsub.s1            fLnSinL = fLnSin4, fLnSinH
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      // ((LnSin6*deltaX^2 + LnSin4)*deltaX^2)hi
+      fma.s1             fB18 = fLnSinH, fDxSqr, f0
+      nop.i              0
+}
+;;
+{ .mfi
+      adds               rTmpPtr = 8, rTbl3Addr
+      fma.s1             fB16 = fLnSin6, fDxSqrL, fB16 // (LnSin6*deltaX^2)lo
+      extr.u             GR_Index3 = GR_X_2, 1, 5 // Extract bits 1-5 of X_2
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fA25 = fA25, fXSqr, fA23
+      nop.i              0
+}
+;;
+{ .mfi
+      shladd             GR_ad_tbl_3 = GR_Index3, 4, rTbl3Addr // Point to G_3
+      fadd.s1            fPolL = fPolL, fRes1H
+      nop.i              0
+}
+{ .mfi
+      shladd             rTmpPtr = GR_Index3, 4, rTmpPtr // Point to G_3
+      fadd.s1            fRes1L = fRes1L, fA2L // (A3*y)lo + A2lo
+      nop.i              0
+}
+;;
+{ .mfi
+      ldfps              FR_G3, FR_H3 = [GR_ad_tbl_3] // Load G_3, H_3
+      fma.s1             fRes2L = fA4, fXSqrL, fRes2L // ((A5 + A4*y)*y^2)lo
+      nop.i              0
+}
+{ .mfi
+      ldfd               FR_h3 = [rTmpPtr] // Load h_3
+      fsub.s1            fRes4L = fPol, fRes4H
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      // ((((A5 + A4*y)*y^2) + A3*y + A2)*y^2)hi
+      fma.s1             fRes7H = fRes4H, fXSqr, f0
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fA15 = fA15, FR_FracX, fA14
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fadd.s1            fRes3L = fRes3L, fRes6H
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fadd.s1            fRes6L = fRes6L, fA0L // (A1*y)lo + A0lo
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fadd.s1            fLnSinL = fLnSinL, fB14
+
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      // delta((LnSin6*deltaX^2 + LnSin4)*deltaX^2)
+      fms.s1             fB20 = fLnSinH, fDxSqr, fB18
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fadd.s1            fPolL = fPolL, fRes1L // (A3*y + A2)lo
+
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      // ((LnSin6*deltaX^2 + LnSin4)*deltaX^2 + LnSin2)hi
+      fadd.s1            fLnSin6 = fB18, fLnSin2
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fadd.s1            fRes4L = fRes4L, fRes2H
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fA17 = fA17, FR_FracX, fA16
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      // delta(((((A5 + A4*y)*y^2) + A3*y + A2)*y^2)
+      fms.s1             fRes7L = fRes4H, fXSqr, fRes7H
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fadd.s1            fPol = fRes7H, fRes3H
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fadd.s1            fRes3L = fRes3L, fRes6L // (A1*y + A0)lo
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fA25 = fA25, fX4, fA21
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      // (LnSin6*deltaX^2 + LnSin4)lo
+      fadd.s1            fLnSinL = fLnSinL, fB16
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fB20 = fLnSinH, fDxSqrL, fB20
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fsub.s1            fLnSin4 = fLnSin2, fLnSin6
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      // (((LnSin6*deltaX^2 + LnSin4)*deltaX^2 + LnSin2)*DeltaX^2)hi
+      fma.s1             fLnSinH = fLnSin6, fDxSqr, f0
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      // ((A5 + A4*y)*y^2)lo + (A3*y + A2)lo
+      fadd.s1            fRes2L = fRes2L, fPolL
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fA17 = fA17, fXSqr, fA15
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      // ((((A5 + A4*y)*y^2) + A3*y + A2)*y^2)lo
+      fma.s1             fRes7L = fRes4H, fXSqrL, fRes7L
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fsub.s1            fPolL = fRes3H, fPol
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fA13 = fA13, FR_FracX, fA12
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fA11 = fA11, FR_FracX, fA10
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      // ((LnSin6*deltaX^2 + LnSin4)*deltaX^2)lo
+      fma.s1             fB20 = fLnSinL, fDxSqr, fB20
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fmpy.s1            FR_G = FR_G, FR_G2 // G = G_1 * G_2
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fadd.s1            fLnSin4 = fLnSin4, fB18
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fms.s1             fLnSinL = fLnSin6, fDxSqr, fLnSinH
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      // (((A5 + A4*y)*y^2) + A3*y + A2)lo
+      fadd.s1            fRes4L = fRes4L, fRes2L
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fadd.s1            fhDelX = fhDelX, FR_h2 // h = h_1 + h_2
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fadd.s1            fRes7L = fRes7L, fRes3L
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fadd.s1            fPolL = fPolL, fRes7H
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fcvt.xf            fFloatNDx = fFloatNDx
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fadd.s1            FR_H = FR_H, FR_H2 // H = H_1 + H_2
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fmpy.s1            FR_G = FR_G, FR_G3 // G = (G_1 * G_2) * G_3
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      // ((LnSin6*deltaX^2 + LnSin4)*deltaX^2)lo + (LnSin2)lo
+      fadd.s1            fLnSin2L = fLnSin2L, fB20
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fA25 = fA25, fX4, fA17
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fA13 = fA13, fXSqr, fA11
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fA9 = fA9, FR_FracX, fA8
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fA7 = fA7, FR_FracX, fA6
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fLnSin36 = fLnSin36, fDelX8, fLnSin28
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fLnSin14 = fLnSin14, fDxSqr, fLnSin12
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fLnSin10 = fLnSin10, fDxSqr, fLnSin8
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fadd.s1            FR_H = FR_H, FR_H3 // H = (H_1 + H_2) + H_3
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fms.s1             fRDx = FR_G, fNormDx, f1 // r = G * S_hi - 1
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      // poly_lo = r * Q4 + Q3
+      fma.s1             FR_poly_lo = FR_r, FR_Q4, FR_Q3
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fmpy.s1            FR_rsq = FR_r, FR_r // rsq = r * r
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      // ((((A5 + A4*y)*y^2) + A3*y + A2)*y^2)lo + (A1*y + A0)lo
+      fma.s1             fRes7L = fRes4L, fXSqr, fRes7L
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fA25 = fA25, fX4, fA13
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fA9 = fA9, fXSqr, fA7
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      // h = N * log2_lo + h
+      fma.s1             FR_h = fFloatN, FR_log2_lo, FR_h
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fadd.s1            fhDelX = fhDelX, FR_h3 // h = (h_1 + h_2) + h_3
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fLnSin36 = fLnSin36, fDelX6, fLnSin20
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fLnSin14 = fLnSin14, fDelX4, fLnSin10
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      // poly_lo = r * Q4 + Q3
+      fma.s1             fPolyLoDx = fRDx, FR_Q4, FR_Q3
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fmpy.s1            fRDxSq = fRDx, fRDx // rsq = r * r
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      // Y_hi = N * log2_hi + H
+      fma.s1             fResLnDxH = fFloatNDx, FR_log2_hi, FR_H
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             FR_rcub = FR_rsq, FR_r, f0 // rcub = r^3
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fA9 = fA25, fX4, fA9
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fadd.s1            fPolL = fPolL, fRes7L
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fadd.s1            fLnSin4 = fLnSin4, fLnSin2L
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      // h = N * log2_lo + h
+      fma.s1             fhDelX = fFloatNDx, FR_log2_lo, fhDelX
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fLnSin36 = fLnSin36, fDelX8, fLnSin14
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      // ((LnSin6*deltaX^2 + LnSin4)*deltaX^2 + LnSin2)lo
+      fma.s1             fLnSinL = fLnSin6, fDxSqrL, fLnSinL
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      // poly_lo = poly_lo * r + Q2
+      fma.s1             fPolyLoDx = fPolyLoDx, fRDx, FR_Q2
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fRDxCub = fRDxSq, fRDx, f0 // rcub = r^3
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      famax.s0              fRes5H = fPol, fResH
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      //  High part of (lgammal(|x|) + log(|x|))
+      fadd.s1            fRes1H = fPol, fResH
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      // poly_lo = poly_lo * r + Q2
+      fma.s1             FR_poly_lo = FR_poly_lo, FR_r, FR_Q2
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fPolL = fA9, fX6, fPolL // P25lo
+      nop.i              0
+}
+;;
+
+{ .mfi
+      nop.m              0
+      famin.s0              fRes5L = fPol, fResH
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      // High part of -(LnSin + log(|DeltaX|))
+      fnma.s1            fRes2H = fResLnDxH, f1, fLnSinH
+      nop.i              0
+}
+;;
+
+{ .mfi
+      nop.m              0
+      // (((LnSin6*deltaX^2 + LnSin4)*deltaX^2 + LnSin2)*DeltaX^2)lo
+      fma.s1             fLnSinL = fLnSin4, fDxSqr, fLnSinL
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fLnSin36 = fLnSin36, fDelX6, f0
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      // poly_hi = Q1 * rsq + r
+      fma.s1             fPolyHiDx = FR_Q1, fRDxSq, fRDx
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      // poly_lo = poly_lo*r^3 + h
+      fma.s1             fPolyLoDx = fPolyLoDx, fRDxCub, fhDelX
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fsub.s1            fRes1L = fRes5H, fRes1H
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      //  -(lgammal(|x|) + log(|x|))hi
+      fnma.s1            fRes1H = fRes1H, f1, f0
+
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      // poly_hi = Q1 * rsq + r
+      fma.s1             FR_poly_hi = FR_Q1, FR_rsq, FR_r
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      // poly_lo = poly_lo*r^3 + h
+      fma.s1             FR_poly_lo = FR_poly_lo, FR_rcub, FR_h
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fms.s1             fRes2L = fResLnDxH, fMOne, fRes2H
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fLnSinL = fLnSin36, fDxSqr, fLnSinL
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      // Y_lo = poly_hi + poly_lo
+      fadd.s1            fResLnDxL = fPolyHiDx, fPolyLoDx
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fadd.s1            fRes1L = fRes1L, fRes5L
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      // high part of the final result
+      fadd.s1            fYH = fRes2H, fRes1H
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      // Y_lo = poly_hi + poly_lo
+      fadd.s1            fResL = FR_poly_hi, FR_poly_lo
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      famax.s0              fRes4H = fRes2H, fRes1H
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      famin.s0              fRes4L = fRes2H, fRes1H
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      // (LnSin)lo + (log(|DeltaX|))lo
+      fsub.s1            fLnSinL = fLnSinL, fResLnDxL
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fadd.s1            fRes2L = fRes2L, fLnSinH
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      //(lgammal(|x|))lo + (log(|x|))lo
+      fadd.s1            fPolL = fResL, fPolL
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fsub.s1            fYL = fRes4H, fYH
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      // Low part of -(LnSin + log(|DeltaX|))
+      fadd.s1            fRes2L = fRes2L, fLnSinL
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      //  High part of (lgammal(|x|) + log(|x|))
+      fadd.s1            fRes1L = fRes1L, fPolL
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fadd.s1            fYL = fYL, fRes4L
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fsub.s1            fRes2L = fRes2L, fRes1L
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      // low part of the final result
+      fadd.s1            fYL = fYL, fRes2L
+      nop.i              0
+}
+;;
+{ .mfb
+      nop.m              0
+      // final result for -6.0 < x <= -0.75, non-integer, "far" from roots
+      fma.s0             f8 = fYH, f1, fYL
+      // exit here for -6.0 < x <= -0.75, non-integer, "far" from roots
+      br.ret.sptk        b0
+}
+;;
+
+// here if |x+1| < 2^(-7)
+.align 32
+_closeToNegOne:
+{ .mfi
+      getf.exp           GR_N =  fDx // Get N = exponent of x
+      fmerge.se          fAbsX =  f1, fDx // Form |deltaX|
+      // Get high 4 bits of significand of deltaX
+      extr.u             rIndex1Dx = rSignifDx, 59, 4
+}
+{ .mfi
+      addl               rPolDataPtr= @ltoff(lgammal_1pEps_data),gp
+      fma.s1             fA0L = fDxSqr, fDxSqr, f0 // deltaX^4
+      // sign of GAMMA is positive if p10 is set to 1
+(p10) adds               rSgnGam = 1, r0
+}
+;;
+{ .mfi
+      shladd             GR_ad_z_1 = rIndex1Dx, 2, GR_ad_z_1 // Point to Z_1
+      fnma.s1            fResL = fDx, f1, f0 // -(x+1)
+      // Get high 15 bits of significand
+      extr.u             GR_X_0 = rSignifDx, 49, 15
+}
+{ .mfi
+      ld8                rPolDataPtr = [rPolDataPtr]
+      nop.f              0
+      shladd             GR_ad_tbl_1 = rIndex1Dx, 4, rTbl1Addr // Point to G_1
+}
+;;
+{ .mfi
+      ld4                GR_Z_1 = [GR_ad_z_1] // Load Z_1
+      nop.f              0
+      and                GR_N = GR_N, r17Ones // mask sign bit
+}
+{ .mfi
+      adds               rTmpPtr = 8, GR_ad_tbl_1
+      nop.f              0
+      cmp.eq             p6, p7 = 4, rSgnGamSize
+}
+;;
+{ .mfi
+      ldfps              FR_G, FR_H = [GR_ad_tbl_1],8 // Load G_1, H_1
+      nop.f              0
+      adds               rTmpPtr2 = 96, rPolDataPtr
+}
+{ .mfi
+      ldfd               FR_h = [rTmpPtr] // Load h_1
+      nop.f              0
+      // unbiased exponent of deltaX
+      sub                GR_N = GR_N, rExpHalf, 1
+}
+;;
+{ .mfi
+      adds               rTmpPtr3 = 192, rPolDataPtr
+      nop.f              0
+      // sign of GAMMA is negative if p11 is set to 1
+(p11) adds               rSgnGam = -1, r0
+}
+{ .mfi
+      ldfe               fA1 = [rPolDataPtr], 16 // A1
+      nop.f              0
+      nop.i              0
+}
+;;
+{.mfi
+      ldfe               fA2 = [rPolDataPtr], 16 // A2
+      nop.f              0
+      // Get bits 30-15 of X_0 * Z_1
+      pmpyshr2.u         GR_X_1 = GR_X_0,GR_Z_1,15
+}
+{ .mfi
+      ldfpd              fA20, fA19 = [rTmpPtr2], 16 // P8, P7
+      nop.f              0
+      nop.i              0
+}
+;;
+//
+//    For performance, don't use result of pmpyshr2.u for 4 cycles.
+//
+{ .mfi
+      ldfe               fA3 = [rPolDataPtr], 16 // A3
+      nop.f              0
+      nop.i              0
+}
+{ .mfi
+      ldfpd              fA18, fA17 = [rTmpPtr2], 16 // P6, P5
+      nop.f              0
+      nop.i              0
+}
+;;
+{ .mfi
+      ldfe               fA4 = [rPolDataPtr], 16 // A4
+      nop.f              0
+      nop.i              0
+}
+{ .mfi
+      ldfpd              fA16, fA15 = [rTmpPtr2], 16 // P4, p3
+      nop.f              0
+      nop.i              0
+}
+;;
+{ .mfi
+      ldfpd              fA5L, fA6 = [rPolDataPtr], 16 // A5, A6
+      nop.f              0
+      nop.i              0
+}
+{ .mfi
+      ldfpd              fA14, fA13 = [rTmpPtr2], 16 // P2, P1
+      nop.f              0
+      nop.i              0
+}
+;;
+{ .mfi
+      ldfpd              fA7, fA8 = [rPolDataPtr], 16 // A7, A8
+      nop.f              0
+      extr.u             GR_Index2 = GR_X_1, 6, 4 // Extract bits 6-9 of X_1
+}
+{ .mfi
+      ldfe               fLnSin2 = [rTmpPtr2], 16
+      nop.f              0
+      nop.i              0
+}
+;;
+{ .mfi
+      shladd             GR_ad_z_2 = GR_Index2, 2, rZ2Addr  // Point to Z_2
+      nop.f              0
+      shladd             GR_ad_tbl_2 = GR_Index2, 4, rTbl2Addr // Point to G_2
+}
+{ .mfi
+      ldfe               fLnSin4 = [rTmpPtr2], 32
+      nop.f              0
+      nop.i              0
+}
+;;
+{ .mfi
+      ld4                GR_Z_2 = [GR_ad_z_2] // Load Z_2
+      nop.f              0
+      adds               rTmpPtr = 8, GR_ad_tbl_2
+}
+{ .mfi
+      // Put integer N into rightmost significand
+      setf.sig           fFloatN = GR_N
+      nop.f              0
+      nop.i              0
+}
+;;
+{ .mfi
+      ldfe               fLnSin6 = [rTmpPtr3]
+      nop.f              0
+      nop.i              0
+}
+{ .mfi
+      ldfe               fLnSin8 = [rTmpPtr2]
+      nop.f              0
+      nop.i              0
+}
+;;
+{ .mfi
+      ldfps              FR_G2, FR_H2 = [GR_ad_tbl_2],8 // Load G_2, H_2
+      nop.f              0
+      nop.i              0
+}
+{ .mfi
+      ldfd               FR_h2 = [rTmpPtr] // Load h_2
+      nop.f              0
+      nop.i              0
+}
+;;
+{ .mfi
+      // store signgam if size of variable is 4 bytes
+(p6)  st4                [rSgnGamAddr] = rSgnGam
+      fma.s1             fResH = fA20, fResL, fA19 //polynomial for log(|x|)
+     // Get bits 30-15 of X_1 * Z_2
+      pmpyshr2.u         GR_X_2 = GR_X_1,GR_Z_2,15
+}
+{ .mfi
+      // store signgam if size of variable is 8 bytes
+(p7)  st8                [rSgnGamAddr] = rSgnGam
+      fma.s1             fA2 = fA2, fDx, fA1 // polynomial for lgammal(|x|)
+      nop.i              0
+}
+;;
+//
+//    For performance, don't use result of pmpyshr2.u for 4 cycles.
+//
+{ .mfi
+      nop.m              0
+      fma.s1             fA18 = fA18, fResL, fA17 //polynomial for log(|x|)
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fA16 = fA16, fResL, fA15 //polynomial for log(|x|)
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fA4 = fA4, fDx, fA3 // polynomial for lgammal(|x|)
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fA14 = fA14, fResL, fA13 //polynomial for log(|x|)
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fA6 = fA6, fDx, fA5L // polynomial for lgammal(|x|)
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fPol = fA8, fDx, fA7 // polynomial for lgammal(|x|)
+      extr.u             GR_Index3 = GR_X_2, 1, 5 // Extract bits 1-5 of X_2
+}
+;;
+{ .mfi
+      shladd             GR_ad_tbl_3 = GR_Index3, 4, rTbl3Addr // Point to G_3
+      // loqw part of lnsin polynomial
+      fma.s1             fRes3L = fLnSin4, fDxSqr, fLnSin2
+      nop.i              0
+}
+;;
+{ .mfi
+      ldfps              FR_G3, FR_H3 = [GR_ad_tbl_3], 8 // Load G_3, H_3
+      fcvt.xf            fFloatN = fFloatN // N as FP number
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fResH = fResH, fDxSqr, fA18 // High part of log(|x|)
+      nop.i              0
+}
+;;
+{ .mfi
+      ldfd               FR_h3 = [GR_ad_tbl_3] // Load h_3
+      fma.s1             fA4 = fA4, fDxSqr, fA2 // Low part of lgammal(|x|)
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      // high part of lnsin polynomial
+      fma.s1             fRes3H = fLnSin8, fDxSqr, fLnSin6
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fmpy.s1            FR_G = FR_G, FR_G2 // G = G_1 * G_2
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fadd.s1            FR_H = FR_H, FR_H2 // H = H_1 + H_2
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fadd.s1            FR_h = FR_h, FR_h2 // h = h_1 + h_2
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fA16 = fA16, fDxSqr, fA14 // Low part of log(|x|)
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fPol = fPol, fDxSqr, fA6 // High part of lgammal(|x|)
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fResH = fResH, fA0L, fA16 // log(|x|)/deltaX^2 - deltaX
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fmpy.s1            FR_G = FR_G, FR_G3 // G = (G_1 * G_2) * G_3
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fadd.s1            FR_H = FR_H, FR_H3 // H = (H_1 + H_2) + H_3
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fadd.s1            FR_h = FR_h, FR_h3 // h = (h_1 + h_2) + h_3
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fResH = fResH, fDxSqr, fResL // log(|x|)
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fPol = fPol, fA0L, fA4 // lgammal(|x|)/|x|
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fms.s1             FR_r = FR_G, fAbsX, f1 // r = G * S_hi - 1
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      // high part of log(deltaX)= Y_hi = N * log2_hi + H
+      fma.s1             fRes4H = fFloatN, FR_log2_hi, FR_H
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      // h = N * log2_lo + h
+      fma.s1             FR_h = fFloatN, FR_log2_lo, FR_h
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fResH = fPol, fDx, fResH // lgammal(|x|) + log(|x|)
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      // lnsin/deltaX^2
+      fma.s1             fRes3H = fRes3H, fA0L, fRes3L
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      // poly_lo = r * Q4 + Q3
+      fma.s1             FR_poly_lo = FR_r, FR_Q4, FR_Q3
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fmpy.s1            FR_rsq = FR_r, FR_r // rsq = r * r
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      // lnSin - log(|x|) - lgammal(|x|)
+      fms.s1             fResH = fRes3H, fDxSqr, fResH
+      nop.i              0
+}
+;;
+
+{ .mfi
+      nop.m              0
+      // poly_lo = poly_lo * r + Q2
+      fma.s1             FR_poly_lo = FR_poly_lo, FR_r, FR_Q2
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             FR_rcub = FR_rsq, FR_r, f0 // rcub = r^3
+      nop.i              0
+}
+;;
+
+{ .mfi
+      nop.m              0
+      // poly_hi = Q1 * rsq + r
+      fma.s1             FR_poly_hi = FR_Q1, FR_rsq, FR_r
+      nop.i              0
+}
+;;
+
+{ .mfi
+      nop.m              0
+      // poly_lo = poly_lo*r^3 + h
+      fma.s1             FR_poly_lo = FR_poly_lo, FR_rcub, FR_h
+      nop.i              0
+}
+;;
+
+{ .mfi
+      nop.m              0
+      // low part of log(|deltaX|) = Y_lo = poly_hi + poly_lo
+      fadd.s1            fRes4L = FR_poly_hi, FR_poly_lo
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fsub.s1            fResH = fResH, fRes4L
+      nop.i              0
+}
+;;
+{ .mfb
+      nop.m              0
+      // final result for |x+1|< 2^(-7) path
+      fsub.s0            f8 = fResH, fRes4H
+      // exit for |x+1|< 2^(-7) path
+      br.ret.sptk        b0
+}
+;;
+
+
+// here if -2^63 < x < -6.0 and x is not an integer
+// Also we are going to filter out cases when x falls in
+// range which is "close enough" to negative root. Rhis case
+// may occur only for -19.5 < x since other roots of lgamma are
+// insignificant from double extended point of view (they are closer
+// to RTN(x) than one ulp(x).
+.align 32
+_negStirling:
+{ .mfi
+      ldfe               fLnSin6 = [rLnSinDataPtr], 32
+      fnma.s1            fInvX = f8, fRcpX, f1 // start of 3rd NR iteration
+      // Get high 4 bits of significand of deltaX
+      extr.u             rIndex1Dx = rSignifDx, 59, 4
+}
+{ .mfi
+      ldfe               fLnSin8 = [rTmpPtr3], 32
+      fadd.s1            FR_h = FR_h, FR_h2 // h = h_1 + h_2
+(p12) cmp.ltu.unc        p6, p0 = rSignifX, rLeftBound
+}
+;;
+{ .mfi
+      ldfe               fLnSin10 = [rLnSinDataPtr], 32
+      fmpy.s1            FR_G = FR_G, FR_G3 // G = (G_1 * G_2) * G_3
+      // Get high 15 bits of significand
+      extr.u             GR_X_0 = rSignifDx, 49, 15
+}
+{ .mfi
+      shladd             GR_ad_z_1 = rIndex1Dx, 2, GR_ad_z_1  // Point to Z_1
+      fadd.s1            FR_H = FR_H, FR_H3 // H = (H_1 + H_2) + H_3
+      // set p6 if x falls in "near root" range
+(p6)  cmp.geu.unc        p6, p0 = rSignifX, rRightBound
+}
+;;
+{ .mfi
+      getf.exp           GR_N =  fDx // Get N = exponent of x
+      fma.s1             fDx4 = fDxSqr, fDxSqr, f0 // deltaX^4
+      adds               rTmpPtr = 96, rBernulliPtr
+}
+{ .mfb
+      ld4                GR_Z_1 = [GR_ad_z_1] // Load Z_1
+      fma.s1             fLnSin34 = fLnSin34, fDxSqr, fLnSin32
+      // branch to special path if x falls in "near root" range
+(p6)  br.cond.spnt       _negRoots
+}
+;;
+.pred.rel "mutex",p10,p11
+{ .mfi
+      ldfe               fLnSin12 = [rTmpPtr3]
+      fma.s1             fLnSin26 = fLnSin26, fDxSqr, fLnSin24
+(p10) cmp.eq             p8, p9 = rXRnd, r0
+}
+{ .mfi
+      ldfe               fLnSin14 = [rLnSinDataPtr]
+      fma.s1             fLnSin30 = fLnSin30, fDxSqr, fLnSin28
+(p11) cmp.eq             p9, p8 = rXRnd, r0
+}
+;;
+{ .mfi
+      ldfpd              fB2, fB2L = [rBernulliPtr], 16
+      fma.s1             fLnSin18 = fLnSin18, fDxSqr, fLnSin16
+      shladd             GR_ad_tbl_1 = rIndex1Dx, 4, rTbl1Addr // Point to G_1
+
+}
+{ .mfi
+      ldfe               fB14 = [rTmpPtr], 16
+      fma.s1             fLnSin22 = fLnSin22, fDxSqr, fLnSin20
+      and                GR_N = GR_N, r17Ones // mask sign bit
+}
+;;
+{ .mfi
+      ldfe               fB4 = [rBernulliPtr], 16
+      fma.s1             fInvX = fInvX, fRcpX, fRcpX // end of 3rd NR iteration
+      // Get bits 30-15 of X_0 * Z_1
+      pmpyshr2.u         GR_X_1 = GR_X_0,GR_Z_1,15
+}
+{ .mfi
+      ldfe               fB16 = [rTmpPtr], 16
+      fadd.s1            FR_h = FR_h, FR_h3 // h = (h_1 + h_2) + h_3
+      adds               rTmpPtr2 = 8, GR_ad_tbl_1
+}
+;;
+//
+//    For performance, don't use result of pmpyshr2.u for 4 cycles.
+//
+{ .mfi
+      ldfe               fB6 = [rBernulliPtr], 16
+      fms.s1             FR_r = FR_G, fSignifX, f1 // r = G * S_hi - 1
+      adds               rTmpPtr3 = -48, rTmpPtr
+}
+{ .mfi
+      ldfe               fB18 = [rTmpPtr], 16
+      // High part of the log(|x|) = Y_hi = N * log2_hi + H
+      fma.s1             fResH = fFloatN, FR_log2_hi, FR_H
+      sub                GR_N = GR_N, rExpHalf, 1 // unbiased exponent of deltaX
+}
+;;
+.pred.rel "mutex",p8,p9
+{ .mfi
+      ldfe               fB8 = [rBernulliPtr], 16
+      fma.s1             fLnSin36 = fLnSin36, fDx4, fLnSin34
+      // sign of GAMMA(x) is negative
+(p8)  adds               rSgnGam = -1, r0
+}
+{ .mfi
+      ldfe               fB20 = [rTmpPtr], -160
+      fma.s1             fRes5H = fLnSin4, fDxSqr, f0
+      // sign of GAMMA(x) is positive
+(p9)  adds               rSgnGam = 1, r0
+
+}
+;;
+{ .mfi
+      ldfe               fB10 = [rBernulliPtr], 16
+      fma.s1             fLnSin30 = fLnSin30, fDx4, fLnSin26
+(p14) adds               rTmpPtr = -160, rTmpPtr
+}
+{ .mfi
+      ldfe               fB12 = [rTmpPtr3], 16
+      fma.s1             fDx8 = fDx4, fDx4, f0 // deltaX^8
+      cmp.eq             p6, p7 = 4, rSgnGamSize
+}
+;;
+{ .mfi
+      ldfps              fGDx, fHDx = [GR_ad_tbl_1], 8 // Load G_1, H_1
+      fma.s1             fDx6 = fDx4, fDxSqr, f0 // deltaX^6
+      extr.u             GR_Index2 = GR_X_1, 6, 4 // Extract bits 6-9 of X_1
+}
+{ .mfi
+      ldfd               fhDx = [rTmpPtr2] // Load h_1
+      fma.s1             fLnSin22 = fLnSin22, fDx4, fLnSin18
+      nop.i              0
+}
+;;
+{ .mfi
+      // Load two parts of C
+      ldfpd              fRes1H, fRes1L = [rTmpPtr], 16
+      fma.s1             fRcpX = fInvX, fInvX, f0  // (1/x)^2
+      shladd             GR_ad_tbl_2 = GR_Index2, 4, rTbl2Addr // Point to G_2
+}
+{ .mfi
+      shladd             GR_ad_z_2 = GR_Index2, 2, rZ2Addr  // Point to Z_2
+      fma.s1             FR_h = fFloatN, FR_log2_lo, FR_h// h = N * log2_lo + h
+      nop.i              0
+}
+;;
+{ .mfi
+      ld4                GR_Z_2 = [GR_ad_z_2] // Load Z_2
+      fnma.s1            fInvXL = f8, fInvX, f1 // relative error of 1/x
+      nop.i              0
+}
+{ .mfi
+      adds               rTmpPtr2 = 8, GR_ad_tbl_2
+      fma.s1             fLnSin8 = fLnSin8, fDxSqr, fLnSin6
+      nop.i              0
+}
+;;
+{ .mfi
+      ldfps              FR_G2, FR_H2 = [GR_ad_tbl_2],8   // Load G_2, H_2
+      // poly_lo = r * Q4 + Q3
+      fma.s1             FR_poly_lo = FR_r, FR_Q4, FR_Q3
+      nop.i              0
+}
+{ .mfi
+      ldfd               fh2Dx = [rTmpPtr2] // Load h_2
+      fmpy.s1            FR_rsq = FR_r, FR_r // rsq = r * r
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fA1L = fB2, fInvX, f0 // (B2*(1/x))hi
+      nop.i              0
+}
+{ .mfi
+      // Put integer N into rightmost significand
+      setf.sig           fFloatNDx = GR_N
+      fms.s1             fRes4H = fResH, f1, f1  // ln(|x|)hi - 1
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fadd.s1            fRes2H = fRes5H, fLnSin2//(lnSin4*DeltaX^2 + lnSin2)hi
+      // Get bits 30-15 of X_1 * Z_2
+      pmpyshr2.u         GR_X_2 = GR_X_1,GR_Z_2,15
+}
+{ .mfi
+      nop.m              0
+      fms.s1             fRes5L = fLnSin4, fDxSqr, fRes5H
+      nop.i              0
+}
+;;
+//
+//    For performance, don't use result of pmpyshr2.u for 4 cycles.
+//
+{ .mfi
+      nop.m              0
+      fma.s1             fInvX4 = fRcpX, fRcpX, f0 // (1/x)^4
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fB6 = fB6, fRcpX, fB4
+      nop.i              0
+}
+;;
+{ .mfi
+      // store signgam if size of variable is 4 bytes
+(p6)  st4                [rSgnGamAddr] = rSgnGam
+      fma.s1             fB18 = fB18, fRcpX, fB16
+      nop.i              0
+}
+{ .mfi
+      // store signgam if size of variable is 8 bytes
+(p7)  st8                [rSgnGamAddr] = rSgnGam
+      fma.s1             fInvXL = fInvXL, fInvX, f0 // low part of 1/x
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      // poly_lo = poly_lo * r + Q2
+      fma.s1             FR_poly_lo = FR_poly_lo, FR_r, FR_Q2
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             FR_rcub = FR_rsq, FR_r, f0 // rcub = r^3
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fRes3H = fRes4H, f8, f0 // (-|x|*(ln(|x|)-1))hi
+      extr.u             GR_Index3 = GR_X_2, 1, 5  // Extract bits 1-5 of X_2
+}
+{ .mfi
+      nop.m              0
+      // poly_hi = Q1 * rsq + r
+      fma.s1             FR_poly_hi = FR_Q1, FR_rsq, FR_r
+      nop.i              0
+}
+;;
+{ .mfi
+      shladd             GR_ad_tbl_3 = GR_Index3, 4, rTbl3Addr // Point to G_3
+      fms.s1             fA2L = fB2, fInvX, fA1L // delta(B2*(1/x))
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fnma.s1            fBrnH = fRes1H, f1, fA1L // (-C - S(1/x))hi
+      nop.i              0
+}
+;;
+{ .mfi
+      ldfps              fG3Dx, fH3Dx = [GR_ad_tbl_3],8 // Load G_3, H_3
+      fma.s1             fInvX8 = fInvX4, fInvX4, f0 // (1/x)^8
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fB10 = fB10, fRcpX, fB8
+      nop.i              0
+}
+;;
+
+{ .mfi
+      ldfd               fh3Dx = [GR_ad_tbl_3] // Load h_3
+      fma.s1             fB20 = fB20, fInvX4, fB18
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fB14 = fB14, fRcpX, fB12
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fLnSin36 = fLnSin36, fDx8, fLnSin30
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fLnSin12 = fLnSin12, fDxSqr, fLnSin10
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fsub.s1            fRes2L = fLnSin2, fRes2H
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fPol = fRes2H, fDxSqr, f0 // high part of LnSin
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fnma.s1            fResH = fResH, FR_MHalf, fResH // -0.5*ln(|x|)hi
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fmpy.s1            fGDx = fGDx, FR_G2 // G = G_1 * G_2
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      // poly_lo = poly_lo*r^3 + h
+      fma.s1             FR_poly_lo = FR_poly_lo, FR_rcub, FR_h
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      // B2lo*(1/x)hi+ delta(B2*(1/x))
+      fma.s1             fA2L = fB2L, fInvX, fA2L
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fB20 = fB20, fInvX4, fB14
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fB10 = fB10, fInvX4, fB6
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fcvt.xf            fFloatNDx = fFloatNDx
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fLnSin14 = fLnSin14, fDx4, fLnSin12
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fLnSin36 = fLnSin36, fDx8, fLnSin22
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fms.s1             fRes3L = fRes4H, f8, fRes3H // delta(-|x|*(ln(|x|)-1))
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fmpy.s1            fGDx = fGDx, fG3Dx // G = (G_1 * G_2) * G_3
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      // (-|x|*(ln(|x|)-1) - 0.5ln(|x|))hi
+      fadd.s1            fRes4H = fRes3H, fResH
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fA2L = fInvXL, fB2, fA2L //(B2*(1/x))lo
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      // low part of log(|x|) = Y_lo = poly_hi + poly_lo
+      fadd.s1            fResL = FR_poly_hi, FR_poly_lo
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fB20 = fB20, fInvX8, fB10
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fInvX3 = fInvX, fRcpX, f0 // (1/x)^3
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fadd.s1            fHDx = fHDx, FR_H2 // H = H_1 + H_2
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fadd.s1            fRes5L = fRes5L, fLnSin2L
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fadd.s1            fRes2L = fRes2L, fRes5H
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fadd.s1            fhDx = fhDx, fh2Dx // h = h_1 + h_2
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fms.s1             fBrnL = fRes1H, fMOne, fBrnH
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fms.s1             FR_r = fGDx, fNormDx, f1 // r = G * S_hi - 1
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fRes3L = fResL, f8 , fRes3L // (-|x|*(ln(|x|)-1))lo
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fsub.s1            fRes4L = fRes3H, fRes4H
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      // low part of "Bernulli" polynomial
+      fma.s1             fB20 = fB20, fInvX3, fA2L
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fnma.s1            fResL = fResL, FR_MHalf, fResL // -0.5*ln(|x|)lo
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fadd.s1            fHDx = fHDx, fH3Dx // H = (H_1 + H_2) + H_3
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fms.s1             fPolL = fRes2H, fDxSqr, fPol
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fadd.s1            fhDx = fhDx, fh3Dx // h = (h_1 + h_2) + h_3
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      // (-|x|*(ln(|x|)-1) - 0.5ln(|x|) - C - S(1/x))hi
+      fadd.s1            fB14 = fRes4H, fBrnH
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      // poly_lo = r * Q4 + Q3
+      fma.s1             FR_poly_lo = FR_r, FR_Q4, FR_Q3
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fmpy.s1            FR_rsq = FR_r, FR_r // rsq = r * r
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fadd.s1            fRes4L = fRes4L, fResH
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fadd.s1            fBrnL = fBrnL, fA1L
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      // (-|x|*(ln(|x|)-1))lo + (-0.5ln(|x|))lo
+      fadd.s1            fRes3L = fRes3L, fResL
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fnma.s1            fB20 = fRes1L, f1, fB20 // -Clo - S(1/x)lo
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fadd.s1            fRes2L = fRes2L, fRes5L // (lnSin4*DeltaX^2 + lnSin2)lo
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fPolL = fDxSqrL, fRes2H, fPolL
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fLnSin14 = fLnSin14, fDx4, fLnSin8
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fLnSin36 = fLnSin36,  fDx8, f0
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      // poly_lo = poly_lo * r + Q2
+      fma.s1             FR_poly_lo = FR_poly_lo, FR_r, FR_Q2
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             FR_rcub = FR_rsq, FR_r, f0 // rcub = r^3
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      // poly_hi = Q1 * rsq + r
+      fma.s1             FR_poly_hi = FR_Q1, FR_rsq, FR_r
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fsub.s1            fB12 = fRes4H, fB14
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      // (-|x|*(ln(|x|)-1) - 0.5ln(|x|))lo
+      fadd.s1            fRes4L = fRes4L, fRes3L
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fadd.s1            fBrnL = fBrnL, fB20 // (-C - S(1/x))lo
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      // high part of log(|DeltaX|) = Y_hi = N * log2_hi + H
+      fma.s1             fLnDeltaH = fFloatNDx, FR_log2_hi, fHDx
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      // h = N * log2_lo + h
+      fma.s1             fhDx = fFloatNDx, FR_log2_lo, fhDx
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fPolL = fRes2L, fDxSqr, fPolL
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fLnSin14 = fLnSin36,  fDxSqr, fLnSin14
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      // (-|x|*(ln(|x|)-1) - 0.5ln(|x|))lo + (- C - S(1/x))lo
+      fadd.s1            fBrnL = fBrnL, fRes4L
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fadd.s1            fB12 = fB12, fBrnH
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      // poly_lo = poly_lo*r^3 + h
+      fma.s1             FR_poly_lo = FR_poly_lo, FR_rcub, fhDx
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fnma.s1            fRes1H = fLnDeltaH, f1, fPol//(-ln(|DeltaX|) + LnSin)hi
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fPolL = fDxSqrL, fRes2L, fPolL
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fLnSin36 = fLnSin14, fDx6, f0
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      // (-|x|*(ln(|x|)-1) - 0.5ln(|x|) - C - S(1/x))lo
+      fadd.s1            fB12 = fB12, fBrnL
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      // low part of log(|DeltaX|) =  Y_lo = poly_hi + poly_lo
+      fadd.s1            fLnDeltaL= FR_poly_hi, FR_poly_lo
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fms.s1             fRes1L = fLnDeltaH, fMOne, fRes1H
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fadd.s1            fPolL = fPolL, fLnSin36
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      //(-|x|*(ln(|x|)-1)-0.5ln(|x|) - C - S(1/x))hi + (-ln(|DeltaX|) + LnSin)hi
+      fadd.s1            f8 = fRes1H, fB14
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      //max((-|x|*(ln(|x|)-1)-0.5ln(|x|) - C - S(1/x))hi,
+      //    (-ln(|DeltaX|) + LnSin)hi)
+      famax.s1           fMaxNegStir = fRes1H, fB14
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      //min((-|x|*(ln(|x|)-1)-0.5ln(|x|) - C - S(1/x))hi,
+      //    (-ln(|DeltaX|) + LnSin)hi)
+      famin.s1           fMinNegStir = fRes1H, fB14
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fadd.s1            fRes1L = fRes1L, fPol
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      // (-ln(|DeltaX|))lo + (LnSin)lo
+      fnma.s1            fPolL = fLnDeltaL, f1, fPolL
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fsub.s1            f9 = fMaxNegStir, f8 // delta1
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fadd.s1            fRes1L = fRes1L, fPolL // (-ln(|DeltaX|) + LnSin)lo
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fadd.s1            f9 = f9, fMinNegStir
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fadd.s1            fRes1L = fRes1L, fB12
+      nop.i              0
+}
+;;
+{ .mfi
+      // low part of the result
+      fadd.s1            f9 = f9, fRes1L
+      nop.i              0
+}
+;;
+{ .mfb
+      nop.m              0
+      // final result for -2^63 < x < -6.0 path
+      fma.s0             f8 = f8, f1, f9
+      // exit here  for -2^63 < x < -6.0 path
+      br.ret.sptk        b0
+}
+;;
+
+// here if x falls in neighbourhood of any negative root
+// "neighbourhood" typically means that |lgammal(x)| < 0.17
+// on the [-3.0,-2.0] range |lgammal(x)| has even less
+// magnitude
+// rXint contains index of the root
+// p10 is set if root belongs to "right" ones
+// p11 is set if root belongs to "left" ones
+// lgammal(x) is approximated by polynomial of
+// 19th degree from (x - root) argument
+.align 32
+_negRoots:
+{ .mfi
+      addl          rPolDataPtr= @ltoff(lgammal_right_roots_polynomial_data),gp
+      nop.f              0
+      shl                rTmpPtr2 = rXint, 7 // (i*16)*8
+}
+{ .mfi
+      adds               rRootsAddr = -288, rRootsBndAddr
+      nop.f              0
+      nop.i              0
+}
+;;
+{ .mfi
+      ldfe               fRoot = [rRootsAddr] // FP representation of root
+      nop.f              0
+      shl                rTmpPtr = rXint, 6  // (i*16)*4
+}
+{ .mfi
+(p11) adds               rTmpPtr2 = 3536, rTmpPtr2
+      nop.f              0
+      nop.i              0
+}
+;;
+{ .mfi
+      ld8                rPolDataPtr = [rPolDataPtr]
+      nop.f              0
+      shladd             rTmpPtr = rXint, 4, rTmpPtr // (i*16) + (i*16)*4
+}
+{ .mfi
+      adds               rTmpPtr3 = 32, rTmpPtr2
+      nop.f              0
+      nop.i              0
+}
+;;
+.pred.rel "mutex",p10,p11
+{ .mfi
+      add                rTmpPtr3 = rTmpPtr, rTmpPtr3
+      nop.f              0
+(p10) cmp.eq             p8, p9 = rXRnd, r0
+}
+{ .mfi
+      // (i*16) + (i*16)*4 + (i*16)*8
+      add                rTmpPtr = rTmpPtr, rTmpPtr2
+      nop.f              0
+(p11) cmp.eq             p9, p8 = rXRnd, r0
+}
+;;
+{ .mfi
+      add                rTmpPtr2 = rPolDataPtr, rTmpPtr3
+      nop.f              0
+      nop.i              0
+}
+{ .mfi
+      add                rPolDataPtr = rPolDataPtr, rTmpPtr // begin + offsett
+      nop.f              0
+      nop.i              0
+}
+;;
+{ .mfi
+      ldfpd              fA0, fA0L = [rPolDataPtr], 16 // A0
+      nop.f              0
+      adds               rTmpPtr = 112, rTmpPtr2
+}
+{ .mfi
+      ldfpd              fA2, fA2L = [rTmpPtr2], 16 // A2
+      nop.f              0
+      cmp.eq             p12, p13 = 4, rSgnGamSize
+}
+;;
+{ .mfi
+      ldfpd              fA1, fA1L = [rPolDataPtr], 16 // A1
+      nop.f              0
+      nop.i              0
+}
+{ .mfi
+      ldfe               fA3 = [rTmpPtr2], 128 // A4
+      nop.f              0
+      nop.i              0
+}
+;;
+{ .mfi
+      ldfpd              fA12, fA13 = [rTmpPtr], 16 // A12, A13
+      nop.f              0
+      adds               rTmpPtr3 = 64, rPolDataPtr
+}
+{ .mfi
+      ldfpd              fA16, fA17 = [rTmpPtr2], 16 // A16, A17
+      nop.f              0
+      adds               rPolDataPtr = 32, rPolDataPtr
+}
+;;
+.pred.rel "mutex",p8,p9
+{ .mfi
+      ldfpd              fA14, fA15 = [rTmpPtr], 16 // A14, A15
+      nop.f              0
+      // sign of GAMMA(x) is negative
+(p8)  adds               rSgnGam = -1, r0
+}
+{ .mfi
+      ldfpd              fA18, fA19 = [rTmpPtr2], 16 // A18, A19
+      nop.f              0
+      // sign of GAMMA(x) is positive
+(p9)  adds               rSgnGam = 1, r0
+}
+;;
+{ .mfi
+      ldfe               fA4 = [rPolDataPtr], 16 // A4
+      nop.f              0
+      nop.i              0
+}
+{ .mfi
+      ldfpd              fA6, fA7 = [rTmpPtr3], 16 // A6, A7
+      nop.f              0
+      nop.i              0
+}
+;;
+{ .mfi
+      ldfe               fA5 = [rPolDataPtr], 16 // A5
+      // if x equals to (rounded) root exactly
+      fcmp.eq.s1         p6, p0 = f8, fRoot
+      nop.i              0
+}
+{ .mfi
+      ldfpd              fA8, fA9 = [rTmpPtr3], 16 // A8, A9
+      fms.s1             FR_FracX = f8, f1, fRoot
+      nop.i              0
+}
+;;
+{ .mfi
+      // store signgam if size of variable is 4 bytes
+(p12) st4                [rSgnGamAddr] = rSgnGam
+      nop.f              0
+      nop.i              0
+}
+{ .mfb
+      // store signgam if size of variable is 8 bytes
+(p13) st8                [rSgnGamAddr] = rSgnGam
+      // answer if x equals to (rounded) root exactly
+(p6)  fadd.s0            f8 = fA0, fA0L
+      // exit if x equals to (rounded) root exactly
+(p6)  br.ret.spnt        b0
+}
+;;
+{ .mmf
+      ldfpd              fA10, fA11 = [rTmpPtr3], 16 // A10, A11
+      nop.m              0
+      nop.f              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fResH = fA2, FR_FracX, f0 // (A2*x)hi
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fA4L = FR_FracX, FR_FracX, f0 // x^2
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fA17 = fA17, FR_FracX, fA16
+      nop.i              0
+}
+{.mfi
+      nop.m              0
+      fma.s1             fA13 = fA13, FR_FracX, fA12
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fA19 = fA19, FR_FracX, fA18
+      nop.i              0
+}
+{.mfi
+      nop.m              0
+      fma.s1             fA15 = fA15, FR_FracX, fA14
+      nop.i              0
+}
+;;
+{.mfi
+      nop.m              0
+      fma.s1             fPol = fA7, FR_FracX, fA6
+      nop.i              0
+}
+;;
+{.mfi
+      nop.m              0
+      fma.s1             fA9 = fA9, FR_FracX, fA8
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fms.s1             fResL = fA2, FR_FracX, fResH // delta(A2*x)
+      nop.i              0
+}
+{.mfi
+      nop.m              0
+      fadd.s1            fRes1H = fResH, fA1 // (A2*x + A1)hi
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fA11 = fA11, FR_FracX, fA10
+      nop.i              0
+}
+{.mfi
+      nop.m              0
+      fma.s1             fA5L = fA4L, fA4L, f0 // x^4
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fA19 = fA19, fA4L, fA17
+      nop.i              0
+}
+{.mfi
+      nop.m              0
+      fma.s1             fA15 = fA15, fA4L, fA13
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fPol = fPol, FR_FracX, fA5
+      nop.i              0
+}
+{.mfi
+      nop.m              0
+      fma.s1             fA3L = fA4L, FR_FracX, f0 // x^3
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      // delta(A2*x) + A2L*x = (A2*x)lo
+      fma.s1             fResL = fA2L, FR_FracX, fResL
+      nop.i              0
+}
+{.mfi
+      nop.m              0
+      fsub.s1            fRes1L = fA1, fRes1H
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fA11 = fA11, fA4L, fA9
+      nop.i              0
+}
+{.mfi
+      nop.m              0
+      fma.s1             fA19 = fA19, fA5L, fA15
+      nop.i              0
+}
+;;
+{.mfi
+      nop.m              0
+      fma.s1             fPol = fPol, FR_FracX, fA4
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fadd.s1            fResL = fResL, fA1L // (A2*x)lo + A1
+      nop.i              0
+}
+{.mfi
+      nop.m              0
+      fadd.s1            fRes1L = fRes1L, fResH
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fRes2H = fRes1H, FR_FracX, f0 // ((A2*x + A1)*x)hi
+      nop.i              0
+}
+;;
+{.mfi
+      nop.m              0
+      fma.s1             fA19 = fA19, fA5L, fA11
+      nop.i              0
+}
+;;
+{.mfi
+      nop.m              0
+      fma.s1             fPol = fPol, FR_FracX, fA3
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fadd.s1            fRes1L = fRes1L, fResL // (A2*x + A1)lo
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      // delta((A2*x + A1)*x)
+      fms.s1             fRes2L = fRes1H, FR_FracX, fRes2H
+      nop.i              0
+}
+{.mfi
+      nop.m              0
+      fadd.s1            fRes3H = fRes2H, fA0 // ((A2*x + A1)*x + A0)hi
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fA19 = fA19, fA5L, f0
+      nop.i              0
+}
+
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fRes2L = fRes1L, FR_FracX, fRes2L // ((A2*x + A1)*x)lo
+      nop.i              0
+}
+{.mfi
+      nop.m              0
+      fsub.s1            fRes3L = fRes2H, fRes3H
+      nop.i              0
+}
+;;
+{.mfi
+      nop.m              0
+      fma.s1             fPol = fA19, FR_FracX, fPol
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fadd.s1            fRes3L = fRes3L, fA0
+      nop.i              0
+}
+{.mfi
+      nop.m              0
+      fadd.s1            fRes2L = fRes2L, fA0L // ((A2*x + A1)*x)lo + A0L
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fadd.s1            fRes3L = fRes3L, fRes2L // (((A2*x + A1)*x) + A0)lo
+      nop.i              0
+}
+;;
+{.mfi
+      nop.m              0
+      fma.s1             fRes3L = fPol, fA3L, fRes3L
+      nop.i              0
+}
+;;
+{ .mfb
+      nop.m              0
+      // final result for arguments which are close to negative roots
+      fma.s0             f8 = fRes3H, f1, fRes3L
+      // exit here for arguments which are close to negative roots
+      br.ret.sptk        b0
+}
+;;
+
+// here if |x| < 0.5
+.align 32
+lgammal_0_half:
+{ .mfi
+      ld4                GR_Z_1 = [rZ1offsett] // Load Z_1
+      fma.s1             fA4L = f8, f8, f0 // x^2
+      addl               rPolDataPtr    = @ltoff(lgammal_0_Half_data), gp
+}
+{ .mfi
+      shladd             GR_ad_tbl_1 = GR_Index1, 4, rTbl1Addr// Point to G_1
+      nop.f              0
+      addl               rLnSinDataPtr    = @ltoff(lgammal_lnsin_data), gp
+}
+;;
+{ .mfi
+      ldfps              FR_G, FR_H = [GR_ad_tbl_1],8 // Load G_1, H_1
+      nop.f              0
+      // Point to Constants_Z_2
+      add                GR_ad_z_2 = 0x140, GR_ad_z_1
+}
+{ .mfi
+      add                GR_ad_q = -0x60, GR_ad_z_1 // Point to Constants_Q
+      nop.f              0
+      // Point to Constants_G_H_h2
+      add                GR_ad_tbl_2 = 0x180, GR_ad_z_1
+}
+;;
+{ .mfi
+      ld8                rPolDataPtr = [rPolDataPtr]
+      nop.f              0
+      // Point to Constants_G_H_h3
+      add                GR_ad_tbl_3 = 0x280, GR_ad_z_1
+}
+{ .mfi
+      ldfd               FR_h = [GR_ad_tbl_1] // Load h_1
+      nop.f              0
+      sub                GR_N = rExpX, rExpHalf, 1
+}
+;;
+{ .mfi
+      ld8                rLnSinDataPtr    = [rLnSinDataPtr]
+      nop.f              0
+      // Get bits 30-15 of X_0 * Z_1
+      pmpyshr2.u         GR_X_1 = GR_X_0,GR_Z_1,15
+}
+{ .mfi
+      ldfe               FR_log2_hi = [GR_ad_q],16 // Load log2_hi
+      nop.f              0
+      sub                GR_N = r0, GR_N
+}
+;;
+//
+//    For performance, don't use result of pmpyshr2.u for 4 cycles.
+//
+{ .mfi
+      ldfe               FR_log2_lo = [GR_ad_q], 16 // Load log2_lo
+      nop.f              0
+      add                rTmpPtr2 = 320, rPolDataPtr
+}
+{ .mfi
+      add                rTmpPtr = 32, rPolDataPtr
+      nop.f              0
+      // exponent of 0.25
+      adds               rExp2 = -1, rExpHalf
+}
+;;
+{ .mfi
+      ldfpd              fA3, fA3L = [rPolDataPtr], 16 // A3
+      fma.s1             fA5L = fA4L, fA4L, f0 // x^4
+      nop.i              0
+}
+{ .mfi
+      ldfpd              fA1, fA1L = [rTmpPtr], 16 // A1
+      fms.s1             fB8 = f8, f8, fA4L // x^2 - <x^2>
+      // set p6 if -0.5 < x <= -0.25
+(p15) cmp.eq.unc         p6, p0 = rExpX, rExp2
+}
+;;
+{ .mfi
+      ldfpd              fA2, fA2L = [rPolDataPtr], 16 // A2
+      nop.f              0
+      // set p6 if -0.5 < x <= -0.40625
+(p6)  cmp.le.unc         p6, p0 = 10, GR_Index1
+}
+{ .mfi
+      ldfe               fA21 = [rTmpPtr2], -16 // A21
+      // Put integer N into rightmost significand
+      nop.f              0
+      adds               rTmpPtr = 240, rTmpPtr
+}
+;;
+{ .mfi
+      setf.sig           fFloatN = GR_N
+      nop.f              0
+      extr.u             GR_Index2 = GR_X_1, 6, 4 // Extract bits 6-9 of X_1
+}
+{ .mfi
+      ldfe               FR_Q4 = [GR_ad_q], 16 // Load Q4
+      nop.f              0
+      adds               rPolDataPtr = 304, rPolDataPtr
+}
+;;
+{ .mfi
+      ldfe               fA20 = [rTmpPtr2], -32 // A20
+      nop.f              0
+      shladd             GR_ad_z_2 = GR_Index2, 2, GR_ad_z_2  // Point to Z_2
+}
+{ .mfi
+      ldfe               fA19 = [rTmpPtr], -32 // A19
+      nop.f              0
+      shladd             GR_ad_tbl_2 = GR_Index2, 4, GR_ad_tbl_2// Point to G_2
+}
+;;
+{ .mfi
+      ldfe               fA17 = [rTmpPtr], -32 // A17
+      nop.f              0
+      adds               rTmpPtr3 = 8, GR_ad_tbl_2
+}
+{ .mfb
+      ldfe               fA18 = [rTmpPtr2], -32 // A18
+      nop.f              0
+      // branch to special path for -0.5 < x <= 0.40625
+(p6)  br.cond.spnt       lgammal_near_neg_half
+}
+;;
+{ .mmf
+      ld4                GR_Z_2 = [GR_ad_z_2] // Load Z_2
+      ldfe               fA15 = [rTmpPtr], -32 // A15
+      fma.s1             fB20 = fA5L, fA5L, f0 // x^8
+}
+;;
+{ .mmf
+      ldfe               fA16 = [rTmpPtr2], -32 // A16
+      ldfe               fA13 = [rTmpPtr], -32 // A13
+      fms.s1             fB16 = fA4L, fA4L, fA5L
+}
+;;
+{ .mmf
+      ldfps              FR_G2, FR_H2 = [GR_ad_tbl_2], 8 // Load G_2, H_2
+      ldfd               FR_h2 = [rTmpPtr3] // Load h_2
+      fmerge.s           fB10 = f8, fA5L // sign(x) * x^4
+}
+;;
+{ .mmi
+      ldfe               fA14 = [rTmpPtr2], -32 // A14
+      ldfe               fA11 = [rTmpPtr], -32 // A11
+      // Get bits 30-15 of X_1 * Z_2
+      pmpyshr2.u         GR_X_2 = GR_X_1,GR_Z_2,15
+}
+;;
+//
+//    For performance, don't use result of pmpyshr2.u for 4 cycles.
+//
+{ .mfi
+      ldfe               fA12 = [rTmpPtr2], -32 // A12
+      fma.s1             fRes4H = fA3, fAbsX, f0
+      adds               rTmpPtr3 = 16, GR_ad_q
+}
+{ .mfi
+      ldfe               fA9 = [rTmpPtr], -32 // A9
+      nop.f              0
+      nop.i              0
+}
+;;
+{ .mmf
+      ldfe               fA10 = [rTmpPtr2], -32 // A10
+      ldfe               fA7 = [rTmpPtr], -32 // A7
+      fma.s1             fB18 = fB20, fB20, f0 // x^16
+}
+;;
+{ .mmf
+      ldfe               fA8 = [rTmpPtr2], -32 // A8
+      ldfe               fA22 = [rPolDataPtr], 16 // A22
+      fcvt.xf            fFloatN = fFloatN
+}
+;;
+{ .mfi
+      ldfe               fA5 = [rTmpPtr], -32 // A5
+      fma.s1             fA21 = fA21, fAbsX, fA20 // v16
+      extr.u             GR_Index3 = GR_X_2, 1, 5 // Extract bits 1-5 of X_2
+}
+{ .mfi
+      ldfe               fA6 = [rTmpPtr2], -32 // A6
+      nop.f              0
+      nop.i              0
+}
+;;
+{ .mmf
+      // Point to G_3
+      shladd             GR_ad_tbl_3 = GR_Index3, 4, GR_ad_tbl_3
+      ldfe               fA4 = [rTmpPtr2], -32 // A4
+      fma.s1             fA19 = fA19, fAbsX, fA18 // v13
+}
+;;
+.pred.rel "mutex",p14,p15
+{ .mfi
+      ldfps              FR_G3, FR_H3 = [GR_ad_tbl_3],8 // Load G_3, H_3
+      fms.s1             fRes4L = fA3, fAbsX, fRes4H
+(p14) adds               rSgnGam = 1, r0
+}
+{ .mfi
+      cmp.eq             p6, p7 = 4, rSgnGamSize
+      fadd.s1            fRes2H = fRes4H, fA2
+(p15) adds               rSgnGam = -1, r0
+}
+;;
+
+{ .mfi
+      ldfd               FR_h3 = [GR_ad_tbl_3] // Load h_3
+      fma.s1             fA17 = fA17, fAbsX, fA16 // v12
+      nop.i              0
+}
+;;
+{ .mfi
+      ldfe               FR_Q3 = [GR_ad_q], 32 // Load Q3
+      fmpy.s1            FR_G = FR_G, FR_G2 // G = G_1 * G_2
+      nop.i              0
+}
+{ .mfi
+      ldfe               FR_Q2 = [rTmpPtr3], 16 // Load Q2
+      fadd.s1            FR_H = FR_H, FR_H2 // H = H_1 + H_2
+      nop.i              0
+}
+;;
+{ .mfi
+      ldfe               FR_Q1 = [GR_ad_q] // Load Q1
+      fma.s1             fA15 = fA15, fAbsX, fA14 // v8
+      nop.i              0
+}
+{ .mfi
+      adds               rTmpPtr3 = 32, rLnSinDataPtr
+      fadd.s1            FR_h = FR_h, FR_h2 // h = h_1 + h_2
+      nop.i              0
+}
+;;
+{ .mmf
+      ldfpd              fLnSin2, fLnSin2L = [rLnSinDataPtr], 16
+      ldfe               fLnSin6 = [rTmpPtr3], 32
+      fma.s1             fA13 = fA13, fAbsX, fA12 // v7
+
+}
+;;
+{ .mfi
+      ldfe               fLnSin4 = [rLnSinDataPtr], 32
+      fma.s1             fRes4L = fA3L, fAbsX, fRes4L
+      nop.i              0
+}
+{ .mfi
+      ldfe               fLnSin10 = [rTmpPtr3], 32
+      fsub.s1            fRes2L = fA2, fRes2H
+      nop.i              0
+}
+;;
+{ .mfi
+      ldfe               fLnSin8 = [rLnSinDataPtr], 32
+      fma.s1             fResH = fRes2H, fAbsX, f0
+      nop.i              0
+}
+{ .mfi
+      ldfe               fLnSin14 = [rTmpPtr3], 32
+      fma.s1             fA22 = fA22, fA4L, fA21 // v15
+      nop.i              0
+}
+;;
+{ .mfi
+      ldfe               fLnSin12 = [rLnSinDataPtr], 32
+      fma.s1             fA9 = fA9, fAbsX, fA8 // v4
+      nop.i              0
+}
+{ .mfi
+      ldfd               fLnSin18 = [rTmpPtr3], 16
+      fma.s1             fA11 = fA11, fAbsX, fA10 // v5
+      nop.i              0
+}
+;;
+{ .mfi
+      ldfe               fLnSin16 = [rLnSinDataPtr], 24
+      fma.s1             fA19 = fA19, fA4L, fA17 // v11
+      nop.i              0
+}
+{ .mfi
+      ldfd               fLnSin22 = [rTmpPtr3], 16
+      fma.s1             fPolL = fA7, fAbsX, fA6
+      nop.i              0
+}
+;;
+{ .mfi
+      ldfd               fLnSin20 = [rLnSinDataPtr], 16
+      fmpy.s1            FR_G = FR_G, FR_G3 // G = (G_1 * G_2) * G_3
+      nop.i              0
+}
+{ .mfi
+      ldfd               fLnSin26 = [rTmpPtr3], 16
+      fadd.s1            FR_H = FR_H, FR_H3 // H = (H_1 + H_2) + H_3
+      nop.i              0
+}
+;;
+{ .mfi
+      ldfd               fLnSin24 = [rLnSinDataPtr], 16
+      fadd.s1            fRes2L = fRes2L, fRes4H
+      nop.i              0
+}
+{ .mfi
+      ldfd               fLnSin30 = [rTmpPtr3], 16
+      fadd.s1            fA2L = fA2L, fRes4L
+      nop.i              0
+}
+;;
+{ .mfi
+      ldfd               fLnSin28 = [rLnSinDataPtr], 16
+      fms.s1             fResL = fRes2H, fAbsX, fResH
+      nop.i              0
+}
+{ .mfi
+      ldfd               fLnSin34 = [rTmpPtr3], 8
+      fadd.s1            fRes2H = fResH, fA1
+      nop.i              0
+}
+;;
+{ .mfi
+      ldfd               fLnSin32 = [rLnSinDataPtr]
+      fma.s1             fA11 = fA11, fA4L, fA9 // v3
+      nop.i              0
+}
+{ .mfi
+      ldfd               fLnSin36 = [rTmpPtr3]
+      fma.s1             fA15 = fA15, fA4L, fA13 // v6
+      nop.i              0
+}
+;;
+
+{ .mfi
+      // store signgam if size of variable is 4 bytes
+(p6)  st4                [rSgnGamAddr] = rSgnGam
+      fadd.s1            FR_h = FR_h, FR_h3 // h = (h_1 + h_2) + h_3
+      nop.i              0
+}
+{ .mfi
+      // store signgam if size of variable is 8 bytes
+(p7)  st8                [rSgnGamAddr] = rSgnGam
+      fma.s1             fA5 = fA5, fAbsX, fA4
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fms.s1             FR_r = FR_G, fSignifX, f1 // r = G * S_hi - 1
+      nop.i              0
+}
+{ .mfi
+      nop.m               0
+      // High part of the log(|x|): Y_hi = N * log2_hi + H
+      fms.s1             FR_log2_hi = fFloatN, FR_log2_hi, FR_H
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fadd.s1            fA3L = fRes2L, fA2L
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fA22 = fA22, fA5L, fA19
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fsub.s1            fRes2L = fA1, fRes2H
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fRes3H = fRes2H, f8, f0
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fA15 = fA15, fA5L, fA11 // v2
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fLnSin18 = fLnSin18, fA4L, fLnSin16
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      // h = N * log2_lo + h
+      fms.s1             FR_h = fFloatN, FR_log2_lo, FR_h
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fPolL = fPolL, fA4L, fA5
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      // poly_lo = r * Q4 + Q3
+      fma.s1             FR_poly_lo = FR_r, FR_Q4, FR_Q3
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fmpy.s1            FR_rsq = FR_r, FR_r // rsq = r * r
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fResL = fA3L, fAbsX, fResL
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fLnSin30 = fLnSin30, fA4L, fLnSin28
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fadd.s1            fRes2L = fRes2L, fResH
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fms.s1             fRes3L = fRes2H, f8, fRes3H
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fadd.s1            fRes1H = fRes3H, FR_log2_hi
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fPol = fB20, fA22, fA15
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fLnSin34 = fLnSin34, fA4L, fLnSin32
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fLnSin14 = fLnSin14, fA4L, fLnSin12
+      nop.i              0
+}
+;;
+
+{ .mfi
+      nop.m              0
+      // poly_lo = poly_lo * r + Q2
+      fma.s1             FR_poly_lo = FR_poly_lo, FR_r, FR_Q2
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fnma.s1            FR_rcub = FR_rsq, FR_r, f0 // rcub = r^3
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      // poly_hi = Q1 * rsq + r
+      fma.s1             FR_poly_hi = FR_Q1, FR_rsq, FR_r
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fadd.s1            fA1L = fA1L, fResL
+      nop.i              0
+}
+;;
+
+{ .mfi
+      nop.m              0
+      fma.s1             fLnSin22 = fLnSin22, fA4L, fLnSin20
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fLnSin26 = fLnSin26, fA4L, fLnSin24
+      nop.i              0
+}
+;;
+
+{ .mfi
+      nop.m              0
+      fsub.s1            fRes1L = FR_log2_hi, fRes1H
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fPol = fPol, fA5L, fPolL
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fLnSin34 = fLnSin36, fA5L, fLnSin34
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fLnSin18 = fLnSin18, fA5L, fLnSin14
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fLnSin6 = fLnSin6, fA4L, fLnSin4
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fLnSin10 = fLnSin10, fA4L, fLnSin8
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      // poly_hi = Q1 * rsq + r
+      fma.s1             FR_poly_hi = FR_Q1, FR_rsq, FR_r
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fadd.s1            fRes2L = fRes2L, fA1L
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      // poly_lo = poly_lo*r^3 + h
+      fma.s1             FR_poly_lo = FR_poly_lo, FR_rcub, FR_h
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fB2 = fLnSin2, fA4L, f0
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fadd.s1            fRes1L = fRes1L, fRes3H
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fPol = fPol, fB10, f0
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fLnSin26 = fLnSin26, fA5L, fLnSin22
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fLnSin34 = fLnSin34, fA5L, fLnSin30
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fLnSin10 = fLnSin10, fA5L, fLnSin6
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fLnSin2L = fLnSin2L, fA4L, f0
+      nop.i              0
+}
+;;
+
+{ .mfi
+      nop.m              0
+      fma.s1             fRes3L = fRes2L, f8, fRes3L
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      // Y_lo = poly_hi + poly_lo
+      fsub.s1            FR_log2_lo = FR_poly_lo, FR_poly_hi
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fms.s1             fB4 = fLnSin2, fA4L, fB2
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fadd.s1            fRes2H = fRes1H, fPol
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fLnSin34 = fLnSin34, fB20, fLnSin26
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fLnSin18 = fLnSin18, fB20, fLnSin10
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fLnSin2L = fB8, fLnSin2, fLnSin2L
+      nop.i              0
+}
+;;
+
+{ .mfi
+      nop.m              0
+      fadd.s1            FR_log2_lo = FR_log2_lo, fRes3L
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fsub.s1            fRes2L = fRes1H, fRes2H
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fB6 = fLnSin34, fB18, fLnSin18
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fadd.s1            fB4 = fLnSin2L, fB4
+      nop.i              0
+}
+;;
+
+{ .mfi
+      nop.m              0
+      fadd.s1            fRes1L = fRes1L, FR_log2_lo
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fadd.s1            fRes2L = fRes2L, fPol
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fB12 = fB6, fA5L, f0
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fadd.s1            fRes2L = fRes2L, fRes1L
+      nop.i              0
+}
+;;
+
+{ .mfi
+      nop.m              0
+      fms.s1             fB14 = fB6, fA5L, fB12
+      nop.i              0
+}
+{ .mfb
+      nop.m              0
+      fadd.s1            fLnSin30 = fB2, fB12
+      // branch out if x is negative
+(p15) br.cond.spnt       _O_Half_neg
+}
+;;
+{ .mfb
+      nop.m              0
+      // sign(x)*Pol(|x|) - log(|x|)
+      fma.s0             f8 = fRes2H, f1, fRes2L
+      // it's an answer already for positive x
+      // exit if 0 < x < 0.5
+      br.ret.sptk        b0
+}
+;;
+
+// here if x is negative and |x| < 0.5
+.align 32
+_O_Half_neg:
+{ .mfi
+      nop.m              0
+      fma.s1             fB14 = fB16, fB6, fB14
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fsub.s1            fLnSin16 = fB2, fLnSin30
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fadd.s1            fResH = fLnSin30, fRes2H
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fadd.s1            fLnSin16 = fLnSin16, fB12
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fadd.s1            fB4 = fB14, fB4
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fadd.s1            fLnSin16 = fB4, fLnSin16
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fsub.s1            fResL = fRes2H, fResH
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fadd.s1            fResL = fResL, fLnSin30
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fadd.s1            fLnSin16 = fLnSin16, fRes2L
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fadd.s1            fResL = fResL, fLnSin16
+      nop.i              0
+}
+;;
+{ .mfb
+      nop.m              0
+      // final result for -0.5 < x < 0
+      fma.s0             f8 = fResH, f1, fResL
+      // exit for -0.5 < x < 0
+      br.ret.sptk        b0
+}
+;;
+
+// here if x >= 8.0
+// there are two computational paths:
+// 1) For x >10.0 Stirling's formula is used
+// 2) Polynomial approximation for 8.0 <= x <= 10.0
+.align 32
+lgammal_big_positive:
+{ .mfi
+      addl               rPolDataPtr = @ltoff(lgammal_data), gp
+      fmerge.se          fSignifX =  f1, f8
+      // Get high 15 bits of significand
+      extr.u             GR_X_0 = rSignifX, 49, 15
+}
+{.mfi
+      shladd             rZ1offsett = GR_Index1, 2, GR_ad_z_1  // Point to Z_1
+      fnma.s1            fInvX = f8, fRcpX, f1 // start of 1st NR iteration
+      adds               rSignif1andQ = 0x5, r0
+}
+;;
+{.mfi
+      ld4                GR_Z_1 = [rZ1offsett] // Load Z_1
+      nop.f              0
+      shl                rSignif1andQ = rSignif1andQ, 61 // significand of 1.25
+}
+{  .mfi
+      cmp.eq             p8, p0 = rExpX, rExp8 // p8 = 1 if 8.0 <= x < 16
+      nop.f              0
+      adds               rSgnGam = 1, r0 // gamma is positive at this range
+}
+;;
+{ .mfi
+      shladd             GR_ad_tbl_1 = GR_Index1, 4, rTbl1Addr// Point to G_1
+      nop.f              0
+      add                GR_ad_q = -0x60, GR_ad_z_1 // Point to Constants_Q
+}
+{ .mlx
+      ld8                rPolDataPtr    = [rPolDataPtr]
+      movl               rDelta = 0x3FF2000000000000
+}
+;;
+{ .mfi
+      ldfps              FR_G, FR_H = [GR_ad_tbl_1],8 // Load G_1, H_1
+      nop.f              0
+      add                GR_ad_z_2 = 0x140, GR_ad_z_1 // Point to Constants_Z_2
+}
+{ .mfi
+      // Point to Constants_G_H_h2
+      add                GR_ad_tbl_2 = 0x180, GR_ad_z_1
+      nop.f              0
+      // p8 = 1 if 8.0 <= x <= 10.0
+(p8)  cmp.leu.unc        p8, p0 = rSignifX, rSignif1andQ
+}
+;;
+{ .mfi
+      ldfd               FR_h = [GR_ad_tbl_1] // Load h_1
+      nop.f              0
+      // Get bits 30-15 of X_0 * Z_1
+      pmpyshr2.u         GR_X_1 = GR_X_0,GR_Z_1,15
+}
+{ .mfb
+(p8)  setf.d             FR_MHalf = rDelta
+      nop.f              0
+(p8)  br.cond.spnt       lgammal_8_10 // branch out if 8.0 <= x <= 10.0
+}
+;;
+//
+//    For performance, don't use result of pmpyshr2.u for 4 cycles.
+//
+{ .mfi
+      ldfe               fA1 = [rPolDataPtr], 16 // Load overflow threshold
+      fma.s1             fRcpX = fInvX, fRcpX, fRcpX // end of 1st NR iteration
+      // Point to Constants_G_H_h3
+      add                GR_ad_tbl_3 = 0x280, GR_ad_z_1
+}
+{ .mlx
+      nop.m              0
+      movl               rDelta = 0xBFE0000000000000 // -0.5 in DP
+}
+;;
+{ .mfi
+      ldfe               FR_log2_hi = [GR_ad_q],16 // Load log2_hi
+      nop.f              0
+      sub                GR_N = rExpX, rExpHalf, 1 // unbiased exponent of x
+}
+;;
+{ .mfi
+      ldfe               FR_log2_lo = [GR_ad_q],16 // Load log2_lo
+      nop.f              0
+      nop.i              0
+}
+{ .mfi
+      setf.d             FR_MHalf = rDelta
+      nop.f              0
+      nop.i              0
+}
+;;
+{ .mfi
+      // Put integer N into rightmost significand
+      setf.sig           fFloatN = GR_N
+      nop.f              0
+      extr.u             GR_Index2 = GR_X_1, 6, 4 // Extract bits 6-9 of X_1
+}
+{ .mfi
+      ldfe               FR_Q4 = [GR_ad_q], 16 // Load Q4
+      nop.f              0
+      nop.i              0
+}
+;;
+{ .mfi
+      shladd             GR_ad_z_2 = GR_Index2, 2, GR_ad_z_2  // Point to Z_2
+      nop.f              0
+      shladd             GR_ad_tbl_2 = GR_Index2, 4, GR_ad_tbl_2// Point to G_2
+}
+{ .mfi
+      ldfe               FR_Q3 = [GR_ad_q], 16 // Load Q3
+      nop.f              0
+      nop.i              0
+}
+;;
+{ .mfi
+      ld4                GR_Z_2 = [GR_ad_z_2] // Load Z_2
+      fnma.s1            fInvX = f8, fRcpX, f1 // start of 2nd NR iteration
+      nop.i              0
+}
+;;
+{ .mfi
+      ldfps              FR_G2, FR_H2 = [GR_ad_tbl_2], 8 // Load G_2, H_2
+      nop.f              0
+      nop.i              0
+}
+;;
+{ .mfi
+      ldfd               FR_h2 = [GR_ad_tbl_2] // Load h_2
+      nop.f              0
+      nop.i              0
+}
+;;
+{ .mfi
+      ldfe               FR_Q2 = [GR_ad_q],16 // Load Q2
+      nop.f              0
+      // Get bits 30-15 of X_1 * Z_2
+      pmpyshr2.u         GR_X_2 = GR_X_1,GR_Z_2,15
+}
+;;
+//
+//    For performance, don't use result of pmpyshr2.u for 4 cycles.
+//
+{ .mfi
+      ldfe               FR_Q1 = [GR_ad_q] // Load Q1
+      fcmp.gt.s1         p7,p0 = f8, fA1 // check if x > overflow threshold
+      nop.i              0
+}
+;;
+{.mfi
+      ldfpd              fA0, fA0L = [rPolDataPtr], 16 // Load two parts of C
+      fma.s1             fRcpX = fInvX, fRcpX, fRcpX // end of 2nd NR iteration
+      nop.i              0
+}
+;;
+{ .mfb
+      ldfpd              fB2, fA1 = [rPolDataPtr], 16
+      nop.f              0
+(p7)  br.cond.spnt       lgammal_overflow // branch if x > overflow threshold
+}
+;;
+{.mfi
+      ldfe               fB4 = [rPolDataPtr], 16
+      fcvt.xf            fFloatN = fFloatN
+      extr.u             GR_Index3 = GR_X_2, 1, 5 // Extract bits 1-5 of X_2
+}
+;;
+{ .mfi
+      shladd             GR_ad_tbl_3 = GR_Index3, 4, GR_ad_tbl_3// Point to G_3
+      nop.f              0
+      nop.i              0
+}
+{ .mfi
+      ldfe               fB6 = [rPolDataPtr], 16
+      nop.f              0
+      nop.i              0
+}
+;;
+{ .mfi
+      ldfps              FR_G3, FR_H3 = [GR_ad_tbl_3], 8 // Load G_3, H_3
+      nop.f              0
+      nop.i              0
+}
+;;
+{ .mfi
+      ldfd               FR_h3 = [GR_ad_tbl_3] // Load h_3
+      fmpy.s1            FR_G = FR_G, FR_G2 // G = G_1 * G_2
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fadd.s1            FR_H = FR_H, FR_H2 // H = H_1 + H_2
+      nop.i              0
+}
+;;
+
+{ .mfi
+      ldfe               fB8 = [rPolDataPtr], 16
+      fadd.s1            FR_h = FR_h, FR_h2 // h = h_1 + h_2
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fnma.s1            fInvX = f8, fRcpX, f1 // start of 3rd NR iteration
+      nop.i              0
+}
+;;
+{ .mfi
+      ldfe               fB10 = [rPolDataPtr], 16
+      nop.f              0
+      cmp.eq             p6, p7 = 4, rSgnGamSize
+}
+;;
+{ .mfi
+      ldfe               fB12 = [rPolDataPtr], 16
+      nop.f              0
+      nop.i              0
+}
+;;
+{ .mfi
+      ldfe               fB14 = [rPolDataPtr], 16
+      nop.f              0
+      nop.i              0
+}
+;;
+
+{ .mfi
+      ldfe               fB16 = [rPolDataPtr], 16
+      // get double extended coefficients from two doubles
+      // two doubles are needed in Stitling's formula for negative x
+      fadd.s1            fB2 = fB2, fA1
+      nop.i              0
+}
+;;
+{ .mfi
+      ldfe               fB18 = [rPolDataPtr], 16
+      fma.s1             fInvX = fInvX, fRcpX, fRcpX // end of 3rd NR iteration
+      nop.i              0
+}
+;;
+{ .mfi
+      ldfe               fB20 = [rPolDataPtr], 16
+      nop.f              0
+      nop.i              0
+}
+;;
+{ .mfi
+      // store signgam if size of variable is 4 bytes
+(p6)  st4                [rSgnGamAddr] = rSgnGam
+      fmpy.s1            FR_G = FR_G, FR_G3 // G = (G_1 * G_2) * G_3
+      nop.i              0
+}
+{ .mfi
+      // store signgam if size of variable is 8 bytes
+(p7)  st8                [rSgnGamAddr] = rSgnGam
+      fadd.s1            FR_H = FR_H, FR_H3 // H = (H_1 + H_2) + H_3
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fadd.s1            FR_h = FR_h, FR_h3 // h = (h_1 + h_2) + h_3
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fRcpX = fInvX, fInvX, f0 // 1/x^2
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fA0L = fB2, fInvX, fA0L
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fms.s1             FR_r = fSignifX, FR_G, f1 // r = G * S_hi - 1
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      // High part of the log(x): Y_hi = N * log2_hi + H
+      fma.s1             fRes2H = fFloatN, FR_log2_hi, FR_H
+      nop.i              0
+}
+;;
+
+{ .mfi
+      nop.m              0
+      // h = N * log2_lo + h
+      fma.s1             FR_h = fFloatN, FR_log2_lo, FR_h
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      // High part of the log(x): Y_hi = N * log2_hi + H
+      fma.s1             fRes1H = fFloatN, FR_log2_hi, FR_H
+      nop.i              0
+}
+;;
+{.mfi
+      nop.m              0
+      fma.s1             fPol = fB18, fRcpX, fB16 // v9
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fA2L = fRcpX, fRcpX, f0   // v10
+      nop.i              0
+}
+;;
+{.mfi
+      nop.m              0
+      fma.s1             fA3 = fB6, fRcpX, fB4     // v3
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fA4 = fB10, fRcpX, fB8    // v4
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fms.s1             fRes2H =fRes2H, f1, f1 //  log_Hi(x) -1
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      // poly_lo = r * Q4 + Q3
+      fma.s1             FR_poly_lo = FR_r, FR_Q4, FR_Q3
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fRes1H = fRes1H, FR_MHalf, f0 // -0.5*log_Hi(x)
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fmpy.s1            FR_rsq = FR_r, FR_r // rsq = r * r
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fA7 = fB14, fRcpX, fB12  // v7
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fA8 = fA2L, fB20, fPol   // v8
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fA2 = fA4, fA2L, fA3    // v2
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fA4L = fA2L, fA2L, f0    // v5
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fResH = fRes2H, f8, f0 // (x*(ln(x)-1))hi
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      // poly_lo = poly_lo * r + Q2
+      fma.s1             FR_poly_lo = FR_poly_lo, FR_r, FR_Q2
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             FR_rcub = FR_rsq, FR_r, f0 // rcub = r^3
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      // poly_hi = Q1 * rsq + r
+      fma.s1             FR_poly_hi = FR_Q1, FR_rsq, FR_r
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fA11 = fRcpX, fInvX, f0 // 1/x^3
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fA6 = fA8, fA2L, fA7   // v6
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fms.s1             fResL = fRes2H, f8, fResH // d(x*(ln(x)-1))
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fadd.s1            fRes3H = fResH, fRes1H // (x*(ln(x)-1) -0.5ln(x))hi
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      // poly_lo = poly_lo*r^3 + h
+      fma.s1             FR_poly_lo = FR_poly_lo, FR_rcub, FR_h
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fPol = fA4L, fA6, fA2   // v1
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      // raise inexact exception
+      fma.s0             FR_log2_lo = FR_log2_lo, FR_log2_lo, f0
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fadd.s1            fRes4H = fRes3H, fA0 // (x*(ln(x)-1) -0.5ln(x))hi + Chi
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fsub.s1            fRes3L = fResH, fRes3H
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      // Y_lo = poly_hi + poly_lo
+      fadd.s1            fRes2L = FR_poly_hi, FR_poly_lo
+      nop.i              0
+}
+;;
+
+{ .mfi
+      nop.m              0
+      fma.s1             fA0L = fPol, fA11, fA0L // S(1/x) + Clo
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fadd.s1            fRes3L = fRes3L, fRes1H
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fsub.s1            fRes4L = fRes3H, fRes4H
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fResL = fRes2L, f8 , fResL // lo part of x*(ln(x)-1)
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      // Clo + S(1/x) - 0.5*logLo(x)
+      fma.s1             fA0L = fRes2L, FR_MHalf, fA0L
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fadd.s1            fRes4L = fRes4L, fA0
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      // Clo + S(1/x) - 0.5*logLo(x) + (x*(ln(x)-1))lo
+      fadd.s1            fA0L = fA0L, fResL
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fadd.s1            fRes4L = fRes4L, fRes3L
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fadd.s1            fRes4L = fRes4L, fA0L
+      nop.i              0
+}
+;;
+{ .mfb
+      nop.m              0
+      fma.s0             f8 = fRes4H, f1, fRes4L
+      // exit for x > 10.0
+      br.ret.sptk        b0
+}
+;;
+// here if 8.0 <= x <= 10.0
+// Result = P15(y), where y = x/8.0 - 1.5
+.align 32
+lgammal_8_10:
+{ .mfi
+      addl               rPolDataPtr    = @ltoff(lgammal_8_10_data), gp
+      fms.s1             FR_FracX = fSignifX, f1, FR_MHalf // y = x/8.0 - 1.5
+      cmp.eq             p6, p7 = 4, rSgnGamSize
+}
+;;
+{ .mfi
+      ld8                rLnSinDataPtr = [rPolDataPtr]
+      nop.f              0
+      nop.i              0
+}
+{ .mfi
+      ld8                rPolDataPtr = [rPolDataPtr]
+      nop.f              0
+      nop.i              0
+}
+;;
+{ .mfi
+      adds               rZ1offsett = 32, rLnSinDataPtr
+      nop.f              0
+      nop.i              0
+}
+{ .mfi
+      adds               rLnSinDataPtr = 48, rLnSinDataPtr
+      nop.f              0
+      nop.i              0
+}
+;;
+{ .mfi
+      ldfpd              fA1, fA1L = [rPolDataPtr], 16 // A1
+      nop.f              0
+      nop.i              0
+}
+{ .mfi
+      ldfe               fA2 = [rZ1offsett], 32 // A5
+      nop.f              0
+      nop.i              0
+}
+;;
+{ .mfi
+      ldfpd              fA0, fA0L = [rPolDataPtr], 16 // A0
+      fma.s1             FR_rsq = FR_FracX, FR_FracX, f0 // y^2
+      nop.i              0
+}
+{ .mfi
+      ldfe               fA3 = [rLnSinDataPtr],32 // A5
+      nop.f              0
+      nop.i              0
+}
+;;
+{ .mmf
+      ldfe               fA4 = [rZ1offsett], 32 // A4
+      ldfe               fA5 = [rLnSinDataPtr], 32 // A5
+      nop.f              0
+}
+;;
+{ .mmf
+      ldfe               fA6 = [rZ1offsett], 32 // A6
+      ldfe               fA7 = [rLnSinDataPtr], 32 // A7
+      nop.f              0
+}
+;;
+{ .mmf
+      ldfe               fA8 = [rZ1offsett], 32 // A8
+      ldfe               fA9 = [rLnSinDataPtr], 32 // A9
+      nop.f              0
+}
+;;
+{ .mmf
+      ldfe               fA10 = [rZ1offsett], 32 // A10
+      ldfe               fA11 = [rLnSinDataPtr], 32 // A11
+      nop.f              0
+}
+;;
+{ .mmf
+      ldfe               fA12 = [rZ1offsett], 32 // A12
+      ldfe               fA13 = [rLnSinDataPtr], 32 // A13
+      fma.s1             FR_Q4 = FR_rsq, FR_rsq, f0 // y^4
+}
+;;
+{ .mmf
+      ldfe               fA14 = [rZ1offsett], 32 // A14
+      ldfe               fA15 = [rLnSinDataPtr], 32 // A15
+      nop.f              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fRes1H = FR_FracX, fA1, f0
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fA3 = fA3, FR_FracX, fA2 // v4
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fA5 = fA5, FR_FracX, fA4 // v5
+      nop.i              0
+}
+;;
+{ .mfi
+      // store sign of GAMMA(x) if size of variable is 4 bytes
+(p6)  st4                [rSgnGamAddr] = rSgnGam
+      fma.s1             fA3L = FR_Q4, FR_Q4, f0 // v9 = y^8
+      nop.i              0
+}
+{ .mfi
+      // store sign of GAMMA(x) if size of variable is 8 bytes
+(p7)  st8                [rSgnGamAddr] = rSgnGam
+      fma.s1             fA7 = fA7, FR_FracX, fA6 // v7
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fA9 = fA9, FR_FracX, fA8 // v8
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fms.s1             fRes1L = FR_FracX, fA1, fRes1H
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fA11 = fA11, FR_FracX, fA10 // v12
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fA13 = fA13, FR_FracX, fA12 // v13
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fRes2H = fRes1H, f1, fA0
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fA15 = fA15, FR_FracX, fA14 // v16
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fA5 = fA5, FR_rsq, fA3 // v3
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fA9 = fA9, FR_rsq, fA7 // v6
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fRes1L = FR_FracX, fA1L, fRes1L
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fms.s1             fRes2L = fA0, f1, fRes2H
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fA13 = fA13, FR_rsq, fA11 // v11
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fA9 = fA9, FR_Q4, fA5 // v2
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fRes1L = fRes1L, f1, fA0L
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fRes2L = fRes2L, f1, fRes1H
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fA15 = fA15, FR_Q4, fA13 // v10
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fRes2L = fRes1L, f1, fRes2L
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fPol = fA3L, fA15, fA9
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             f8 = FR_rsq , fPol, fRes2H
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fPol = fPol, FR_rsq, f0
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fms.s1             fRes1L = fRes2H, f1, f8
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fRes1L = fRes1L, f1, fPol
+      nop.i              0
+}
+;;
+{.mfi
+      nop.m              0
+      fma.s1             fRes1L = fRes1L, f1, fRes2L
+      nop.i              0
+}
+;;
+{ .mfb
+      nop.m              0
+      fma.s0             f8 = f8, f1, fRes1L
+      // exit for 8.0 <= x <= 10.0
+      br.ret.sptk        b0
+}
+;;
+
+// here if 4.0 <=x < 8.0
+.align 32
+lgammal_4_8:
+{ .mfi
+      addl               rPolDataPtr= @ltoff(lgammal_4_8_data),gp
+      fms.s1             FR_FracX = fSignifX, f1, FR_MHalf
+      adds               rSgnGam = 1, r0
+}
+;;
+{ .mfi
+      ld8                rPolDataPtr = [rPolDataPtr]
+      nop.f              0
+      nop.i              0
+}
+;;
+
+{ .mfb
+      adds               rTmpPtr = 160, rPolDataPtr
+      nop.f              0
+      // branch to special path which computes polynomial of 25th degree
+      br.sptk            lgamma_polynom25
+}
+;;
+
+// here if 2.25 <=x < 4.0
+.align 32
+lgammal_2Q_4:
+{ .mfi
+      addl               rPolDataPtr= @ltoff(lgammal_2Q_4_data),gp
+      fms.s1             FR_FracX = fSignifX, f1, FR_MHalf
+      adds               rSgnGam = 1, r0
+}
+;;
+{ .mfi
+      ld8                rPolDataPtr = [rPolDataPtr]
+      nop.f              0
+      nop.i              0
+}
+;;
+
+{ .mfb
+      adds               rTmpPtr = 160, rPolDataPtr
+      nop.f              0
+      // branch to special path which computes polynomial of 25th degree
+      br.sptk            lgamma_polynom25
+}
+;;
+
+// here if 0.5 <= |x| < 0.75
+.align 32
+lgammal_half_3Q:
+.pred.rel "mutex", p14, p15
+{ .mfi
+(p14) addl               rPolDataPtr= @ltoff(lgammal_half_3Q_data),gp
+     // FR_FracX = x - 0.625 for positive x
+(p14) fms.s1             FR_FracX = f8, f1, FR_FracX
+(p14) adds               rSgnGam = 1, r0
+}
+{ .mfi
+(p15) addl               rPolDataPtr= @ltoff(lgammal_half_3Q_neg_data),gp
+     // FR_FracX = x + 0.625 for negative x
+(p15) fma.s1             FR_FracX = f8, f1, FR_FracX
+(p15) adds               rSgnGam = -1, r0
+}
+;;
+{ .mfi
+      ld8                rPolDataPtr = [rPolDataPtr]
+       nop.f              0
+       nop.i              0
+}
+;;
+{ .mfb
+      adds               rTmpPtr = 160, rPolDataPtr
+      nop.f              0
+      // branch to special path which computes polynomial of 25th degree
+      br.sptk            lgamma_polynom25
+}
+;;
+// here if 1.3125 <= x < 1.5625
+.align 32
+lgammal_loc_min:
+{ .mfi
+      adds               rSgnGam = 1, r0
+      nop.f              0
+      nop.i              0
+}
+{ .mfb
+      adds               rTmpPtr = 160, rPolDataPtr
+      fms.s1             FR_FracX = f8, f1, fA5L
+      br.sptk            lgamma_polynom25
+}
+;;
+// here if -2.605859375 <= x < -2.5
+// special polynomial approximation used since neither "near root"
+// approximation nor reflection formula give satisfactory accuracy on
+// this range
+.align 32
+_neg2andHalf:
+{ .mfi
+      addl               rPolDataPtr= @ltoff(lgammal_neg2andHalf_data),gp
+      fma.s1             FR_FracX = fB20, f1, f8 // 2.5 + x
+      adds               rSgnGam = -1, r0
+}
+;;
+{.mfi
+      ld8                rPolDataPtr = [rPolDataPtr]
+      nop.f              0
+      nop.i              0
+}
+;;
+{ .mfb
+      adds               rTmpPtr = 160, rPolDataPtr
+      nop.f              0
+      // branch to special path which computes polynomial of 25th degree
+      br.sptk            lgamma_polynom25
+}
+;;
+
+// here if -0.5 < x <= -0.40625
+.align 32
+lgammal_near_neg_half:
+{ .mmf
+      addl               rPolDataPtr= @ltoff(lgammal_near_neg_half_data),gp
+      setf.exp           FR_FracX = rExpHalf
+      nop.f              0
+}
+;;
+{ .mfi
+      ld8                rPolDataPtr = [rPolDataPtr]
+      nop.f              0
+      adds               rSgnGam = -1, r0
+}
+;;
+{ .mfb
+      adds               rTmpPtr = 160, rPolDataPtr
+      fma.s1             FR_FracX = FR_FracX, f1, f8
+      // branch to special path which computes polynomial of 25th degree
+      br.sptk            lgamma_polynom25
+}
+;;
+
+// here if there an answer is P25(x)
+// rPolDataPtr, rTmpPtr point to coefficients
+// x is in FR_FracX register
+.align 32
+lgamma_polynom25:
+{ .mfi
+      ldfpd              fA3, fA0L = [rPolDataPtr], 16 // A3
+      nop.f              0
+      cmp.eq             p6, p7 = 4, rSgnGamSize
+}
+{ .mfi
+      ldfpd              fA18, fA19 = [rTmpPtr], 16 // D7, D6
+      nop.f              0
+      nop.i              0
+}
+;;
+{ .mfi
+      ldfpd              fA1, fA1L = [rPolDataPtr], 16 // A1
+      nop.f              0
+      nop.i              0
+}
+{ .mfi
+      ldfpd              fA16, fA17 = [rTmpPtr], 16 // D4, D5
+      nop.f              0
+}
+;;
+{ .mfi
+      ldfpd              fA12, fA13 = [rPolDataPtr], 16 // D0, D1
+      nop.f              0
+      nop.i              0
+}
+{ .mfi
+      ldfpd              fA14, fA15 = [rTmpPtr], 16 // D2, D3
+      nop.f              0
+      nop.i              0
+}
+;;
+{ .mfi
+      ldfpd              fA24, fA25 = [rPolDataPtr], 16 // C21, C20
+      nop.f              0
+      nop.i              0
+}
+{ .mfi
+      ldfpd              fA22, fA23 = [rTmpPtr], 16 // C19, C18
+      nop.f              0
+      nop.i              0
+}
+;;
+{ .mfi
+      ldfpd              fA2, fA2L = [rPolDataPtr], 16 // A2
+      fma.s1             fA4L = FR_FracX, FR_FracX, f0 // x^2
+      nop.i              0
+}
+{ .mfi
+      ldfpd              fA20, fA21 = [rTmpPtr], 16 // C17, C16
+      nop.f              0
+      nop.i              0
+}
+;;
+{ .mfi
+      ldfe               fA11 = [rTmpPtr], 16 // E7
+      nop.f              0
+      nop.i              0
+}
+{ .mfi
+      ldfpd              fA0, fA3L = [rPolDataPtr], 16 // A0
+      nop.f              0
+      nop.i              0
+};;
+{ .mfi
+      ldfe               fA10 = [rPolDataPtr], 16 // E6
+      nop.f              0
+      nop.i              0
+}
+{ .mfi
+      ldfe               fA9 = [rTmpPtr], 16 // E5
+      nop.f              0
+      nop.i              0
+}
+;;
+{ .mmf
+      ldfe               fA8 = [rPolDataPtr], 16 // E4
+      ldfe               fA7 = [rTmpPtr], 16 // E3
+      nop.f              0
+}
+;;
+{ .mmf
+      ldfe               fA6 = [rPolDataPtr], 16 // E2
+      ldfe               fA5 = [rTmpPtr], 16 // E1
+      nop.f              0
+}
+;;
+{ .mfi
+      ldfe               fA4 = [rPolDataPtr], 16 // E0
+      fma.s1             fA5L = fA4L, fA4L, f0 // x^4
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fms.s1             fB2 = FR_FracX, FR_FracX, fA4L // x^2 - <x^2>
+      nop.i              0
+}
+;;
+{ .mfi
+      // store signgam if size of variable is 4 bytes
+(p6)  st4                [rSgnGamAddr] = rSgnGam
+      fma.s1             fRes4H = fA3, FR_FracX, f0 // (A3*x)hi
+      nop.i              0
+}
+{ .mfi
+      // store signgam if size of variable is 8 bytes
+(p7)  st8                [rSgnGamAddr] = rSgnGam
+      fma.s1             fA19 = fA19, FR_FracX, fA18 // D7*x + D6
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fResH = fA1, FR_FracX, f0 // (A1*x)hi
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fB6 = fA1L, FR_FracX, fA0L // A1L*x + A0L
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fA17 = fA17, FR_FracX, fA16 // D5*x + D4
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fA15 = fA15, FR_FracX, fA14 // D3*x + D2
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fA25 = fA25, FR_FracX, fA24 // C21*x + C20
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fA13 = fA13, FR_FracX, fA12 // D1*x + D0
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fA23 = fA23, FR_FracX, fA22 // C19*x + C18
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fA21 = fA21, FR_FracX, fA20 // C17*x + C16
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fms.s1             fRes4L = fA3, FR_FracX, fRes4H // delta((A3*x)hi)
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fadd.s1            fRes2H = fRes4H, fA2 // (A3*x + A2)hi
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fms.s1             fResL = fA1, FR_FracX, fResH // d(A1*x)
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fadd.s1            fRes1H = fResH, fA0 // (A1*x + A0)hi
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fA19 = fA19, fA4L, fA17 // Dhi
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fA11 = fA11, FR_FracX, fA10 // E7*x + E6
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      // Doing this to raise inexact flag
+      fma.s0             fA10 = fA0, fA0, f0
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fA15 = fA15, fA4L, fA13 // Dlo
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      // (C21*x + C20)*x^2 + C19*x + C18
+      fma.s1             fA25 = fA25, fA4L, fA23
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fA9 = fA9, FR_FracX, fA8 // E5*x + E4
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fA7 = fA7, FR_FracX, fA6 // E3*x + E2
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fRes4L = fA3L, FR_FracX, fRes4L // (A3*x)lo
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fsub.s1            fRes2L = fA2, fRes2H
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fadd.s1            fResL = fResL, fB6 // (A1L*x + A0L) + d(A1*x)
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fsub.s1            fRes1L = fA0, fRes1H
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fA5 = fA5, FR_FracX, fA4 // E1*x + E0
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fB8 = fA5L, fA5L, f0  // x^8
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      // ((C21*x + C20)*x^2 + C19*x + C18)*x^2 + C17*x + C16
+      fma.s1             fA25 = fA25, fA4L, fA21
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fA19 = fA19, fA5L, fA15 // D
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fA11 = fA11, fA4L, fA9 // Ehi
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fadd.s1            fRes2L = fRes2L, fRes4H
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fadd.s1            fRes4L = fRes4L, fA2L // (A3*x)lo + A2L
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fRes3H = fRes2H, fA4L, f0 //  ((A3*x + A2)*x^2)hi
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fadd.s1            fRes1L = fRes1L, fResH
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fRes3L = fRes2H, fB2, f0 // (A3*x + A2)hi*d(x^2)
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fA7 = fA7, fA4L, fA5 // Elo
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fA25 = fA25, fB8, fA19 // C*x^8 + D
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fadd.s1            fRes2L = fRes2L, fRes4L // (A3*x + A2)lo
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fms.s1             fB4 = fRes2H, fA4L, fRes3H // d((A3*x + A2)*x^2))
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fadd.s1            fRes1L = fRes1L, fResL // (A1*x + A0)lo
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fadd.s1            fB20 = fRes3H, fRes1H // Phi
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fA11 = fA11, fA5L, fA7 // E
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      //  ( (A3*x + A2)lo*<x^2> + (A3*x + A2)hi*d(x^2))
+      fma.s1             fRes3L = fRes2L, fA4L, fRes3L
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      // d((A3*x + A2)*x^2)) + (A1*x + A0)lo
+      fadd.s1            fRes1L = fRes1L, fB4
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fsub.s1            fB18 = fRes1H, fB20
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fPol = fA25, fB8, fA11
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fadd.s1            fRes1L = fRes1L, fRes3L
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fadd.s1            fB18 = fB18, fRes3H
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fRes4H = fPol, fA5L, fB20
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fPolL = fPol, fA5L, f0
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fadd.s1            fB18 = fB18, fRes1L // Plo
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fsub.s1            fRes4L = fB20, fRes4H
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fadd.s1            fB18 = fB18, fPolL
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fadd.s1            fRes4L = fRes4L, fB18
+      nop.i              0
+}
+;;
+{ .mfb
+      nop.m              0
+      fma.s0             f8 = fRes4H, f1, fRes4L
+      // P25(x) computed, exit here
+      br.ret.sptk        b0
+}
+;;
+
+
+// here if 0.75 <= x < 1.3125
+.align 32
+lgammal_03Q_1Q:
+{ .mfi
+      addl               rPolDataPtr= @ltoff(lgammal_03Q_1Q_data),gp
+      fma.s1             FR_FracX = fA5L, f1, f0 // x
+      adds               rSgnGam = 1, r0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fB4 = fA5L, fA5L, f0 // x^2
+      nop.i              0
+}
+;;
+{ .mfi
+      ld8                rPolDataPtr = [rPolDataPtr]
+      nop.f              0
+      nop.i              0
+}
+;;
+{ .mfb
+      adds               rTmpPtr = 144, rPolDataPtr
+      nop.f              0
+      br.sptk            lgamma_polynom24x
+}
+;;
+
+// here if 1.5625 <= x < 2.25
+.align 32
+lgammal_13Q_2Q:
+{ .mfi
+      addl               rPolDataPtr= @ltoff(lgammal_13Q_2Q_data),gp
+      fma.s1             FR_FracX = fB4, f1, f0 // x
+      adds               rSgnGam = 1, r0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fB4 = fB4, fB4, f0 // x^2
+      nop.i              0
+}
+;;
+{ .mfi
+      ld8                rPolDataPtr = [rPolDataPtr]
+      nop.f              0
+      nop.i              0
+}
+;;
+{ .mfb
+      adds               rTmpPtr = 144, rPolDataPtr
+      nop.f              0
+      br.sptk            lgamma_polynom24x
+}
+;;
+
+// here if result is Pol24(x)
+// x is in FR_FracX,
+// rPolDataPtr, rTmpPtr point to coefficients
+.align 32
+lgamma_polynom24x:
+{ .mfi
+      ldfpd              fA4, fA2L = [rPolDataPtr], 16
+      nop.f              0
+      cmp.eq             p6, p7 = 4, rSgnGamSize
+}
+{ .mfi
+      ldfpd              fA23, fA24 = [rTmpPtr], 16 // C18, C19
+      nop.f              0
+      nop.i              0
+}
+;;
+{ .mfi
+      ldfpd              fA3, fA1L = [rPolDataPtr], 16
+      fma.s1             fA5L = fB4, fB4, f0 // x^4
+      nop.i              0
+}
+{ .mfi
+      ldfpd              fA19, fA20 = [rTmpPtr], 16 // D6, D7
+      fms.s1             fB2 = FR_FracX, FR_FracX, fB4 // x^2 - <x^2>
+      nop.i              0
+}
+;;
+{ .mmf
+      ldfpd              fA15, fA16 = [rPolDataPtr], 16 // D2, D3
+      ldfpd              fA17, fA18 = [rTmpPtr], 16 // D4, D5
+      nop.f              0
+}
+;;
+{ .mmf
+      ldfpd              fA13, fA14 = [rPolDataPtr], 16 // D0, D1
+      ldfpd              fA12, fA21 = [rTmpPtr], 16 // E7, C16
+      nop.f              0
+}
+;;
+{ .mfi
+      ldfe               fA11 = [rPolDataPtr], 16 // E6
+      nop.f              0
+      nop.i              0
+}
+{ .mfi
+      ldfe               fA10 = [rTmpPtr], 16 // E5
+      nop.f              0
+      nop.i              0
+}
+;;
+{ .mfi
+      ldfpd              fA2, fA4L = [rPolDataPtr], 16
+      nop.f              0
+      nop.i              0
+}
+{ .mfi
+      ldfpd              fA1, fA3L = [rTmpPtr], 16
+      nop.f              0
+      nop.i              0
+}
+;;
+{ .mfi
+      ldfpd              fA22, fA25 = [rPolDataPtr], 16 // C17, C20
+      fma.s1             fA0 = fA5L, fA5L, f0 // x^8
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fA0L = fA5L, FR_FracX, f0 // x^5
+      nop.i              0
+}
+;;
+{ .mmf
+      ldfe               fA9 = [rPolDataPtr], 16 // E4
+      ldfe               fA8 = [rTmpPtr], 16 // E3
+      nop.f              0
+}
+;;
+{ .mmf
+      ldfe               fA7 = [rPolDataPtr], 16 // E2
+      ldfe               fA6 = [rTmpPtr], 16 // E1
+      nop.f              0
+}
+;;
+{ .mfi
+      ldfe               fA5 = [rTmpPtr], 16 // E0
+      fma.s1             fRes4H = fA4, fB4, f0 // A4*<x^2>
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fPol = fA24, FR_FracX, fA23 // C19*x + C18
+      nop.i              0
+}
+;;
+{ .mfi
+      // store signgam if size of variable is 4 bytes
+(p6)  st4                [rSgnGamAddr] = rSgnGam
+      fma.s1             fRes1H = fA3, fB4, f0 // A3*<x^2>
+      nop.i              0
+}
+{ .mfi
+      // store signgam if size of variable is 8 bytes
+(p7)  st8                [rSgnGamAddr] = rSgnGam
+      fma.s1             fA1L = fA3, fB2,fA1L //  A3*d(x^2) + A1L
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fA20 = fA20, FR_FracX, fA19 // D7*x + D6
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fA18 = fA18, FR_FracX, fA17 // D5*x + D4
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fA16 = fA16, FR_FracX, fA15 // D3*x + D2
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fA14 = fA14, FR_FracX, fA13 // D1*x + D0
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fA2L = fA4, fB2,fA2L //  A4*d(x^2) + A2L
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fA12 = fA12, FR_FracX, fA11 // E7*x + E6
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fms.s1             fRes2L = fA4, fB4, fRes4H  // delta(A4*<x^2>)
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fadd.s1            fRes2H = fRes4H, fA2       // A4*<x^2> + A2
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fms.s1             fRes3L = fA3, fB4, fRes1H  // delta(A3*<x^2>)
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fadd.s1            fRes3H = fRes1H, fA1       // A3*<x^2> + A1
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fA20 = fA20, fB4, fA18 // (D7*x + D6)*x^2 + D5*x + D4
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fA22 = fA22, FR_FracX, fA21 // C17*x + C16
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fA16 = fA16, fB4, fA14 // (D3*x + D2)*x^2 + D1*x + D0
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fPol = fA25, fB4, fPol // C20*x^2 + C19*x + C18
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fA2L = fA4L, fB4, fA2L //  A4L*<x^2> + A4*d(x^2) + A2L
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fA1L = fA3L, fB4, fA1L //  A3L*<x^2> + A3*d(x^2) + A1L
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fsub.s1            fRes4L = fA2, fRes2H // d1
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fResH = fRes2H, fB4, f0 // (A4*<x^2> + A2)*x^2
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fsub.s1            fRes1L = fA1, fRes3H // d1
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fB6 = fRes3H, FR_FracX, f0 // (A3*<x^2> + A1)*x
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fA10 = fA10, FR_FracX, fA9  // E5*x + E4
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fA8 = fA8, FR_FracX, fA7 // E3*x + E2
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      // (C20*x^2 + C19*x + C18)*x^2 + C17*x + C16
+      fma.s1             fPol = fPol, fB4, fA22
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fA6 = fA6, FR_FracX, fA5 // E1*x + E0
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      // A4L*<x^2> + A4*d(x^2) + A2L + delta(A4*<x^2>)
+      fadd.s1            fRes2L = fA2L, fRes2L
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      // A3L*<x^2> + A3*d(x^2) + A1L + delta(A3*<x^2>)
+      fadd.s1            fRes3L = fA1L, fRes3L
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fadd.s1            fRes4L = fRes4L, fRes4H // d2
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fms.s1             fResL = fRes2H, fB4, fResH  // d(A4*<x^2> + A2)*x^2)
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fadd.s1            fRes1L = fRes1L, fRes1H // d2
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fms.s1             fB8 = fRes3H, FR_FracX, fB6 // d((A3*<x^2> + A1)*x)
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fadd.s1            fB10 = fResH, fB6 // (A4*x^4 + .. + A1*x)hi
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fA12 = fA12, fB4, fA10 // Ehi
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      // ((D7*x + D6)*x^2 + D5*x + D4)*x^4 + (D3*x + D2)*x^2 + D1*x + D0
+      fma.s1             fA20 = fA20, fA5L, fA16
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fA8 = fA8, fB4, fA6 // Elo
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fadd.s1            fRes2L = fRes2L, fRes4L // (A4*<x^2> + A2)lo
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      // d(A4*<x^2> + A2)*x^2) + A4*<x^2> + A2)*d(x^2)
+      fma.s1             fResL = fRes2H, fB2, fResL
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fadd.s1            fRes3L = fRes3L, fRes1L   // (A4*<x^2> + A2)lo
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fsub.s1            fB12 = fB6, fB10
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fPol = fPol, fA0, fA20 // PolC*x^8 + PolD
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fma.s1             fPolL = fA12, fA5L, fA8 // E
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fResL = fB4, fRes2L, fResL // ((A4*<x^2> + A2)*x^2)lo
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fRes3L = fRes3L, FR_FracX, fB8 // ((A3*<x^2> + A1)*x)lo
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fadd.s1            fB12 = fB12, fResH
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fPol = fPol, fA0, fPolL
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fadd.s1            fRes3L = fRes3L, fResL
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fRes2H = fPol, fA0L, fB10
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fadd.s1            fRes3L = fB12, fRes3L
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fsub.s1            fRes4L = fB10, fRes2H
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fma.s1             fRes4L = fPol, fA0L, fRes4L
+      nop.i              0
+}
+;;
+{ .mfi
+      nop.m              0
+      fadd.s1            fRes4L = fRes4L, fRes3L
+      nop.i              0
+}
+;;
+{ .mfb
+      nop.m              0
+      // final result for all paths for which the result is Pol24(x)
+      fma.s0             f8 = fRes2H, f1, fRes4L
+      // here is the exit for all paths for which the result is Pol24(x)
+      br.ret.sptk        b0
+}
+;;
+
+
+//  here if x is natval, nan, +/-inf, +/-0, or denormal
+.align 32
+lgammal_spec:
+{ .mfi
+      nop.m              0
+      fclass.m           p9, p0 =  f8, 0xB // +/-denormals
+      nop.i              0
+};;
+{ .mfi
+      nop.m              0
+      fclass.m           p6, p0 =  f8, 0x1E1 // Test x for natval, nan, +inf
+      nop.i              0
+};;
+{ .mfb
+      nop.m              0
+      fclass.m           p7, p0 =  f8, 0x7 // +/-0
+(p9)  br.cond.sptk       lgammal_denormal_input
+};;
+{ .mfb
+      nop.m              0
+      nop.f              0
+      // branch out if if x is natval, nan, +inf
+(p6)  br.cond.spnt       lgammal_nan_pinf
+};;
+{ .mfb
+      nop.m              0
+      nop.f              0
+(p7)  br.cond.spnt       lgammal_singularity
+};;
+// if we are still here then x = -inf
+{ .mfi
+      cmp.eq             p6, p7 = 4, rSgnGamSize
+      nop.f              0
+      adds               rSgnGam = 1, r0
+};;
+{ .mfi
+      // store signgam if size of variable is 4 bytes
+(p6)  st4                [rSgnGamAddr] = rSgnGam
+      nop.f              0
+      nop.i              0
+}
+{ .mfb
+      // store signgam if size of variable is 8 bytes
+(p7)  st8                [rSgnGamAddr] = rSgnGam
+      fma.s0             f8 = f8,f8,f0 // return +inf, no call to error support
+      br.ret.spnt        b0
+};;
+
+// here if x is NaN, NatVal or +INF
+.align 32
+lgammal_nan_pinf:
+{ .mfi
+      cmp.eq             p6, p7 = 4, rSgnGamSize
+      nop.f              0
+      adds               rSgnGam = 1, r0
+}
+;;
+{ .mfi
+      // store signgam if size of variable is 4 bytes
+(p6)  st4                [rSgnGamAddr] = rSgnGam
+      fma.s0             f8 = f8,f1,f8 // return x+x if x is natval, nan, +inf
+      nop.i              0
+}
+{ .mfb
+      // store signgam if size of variable is 8 bytes
+(p7)  st8                [rSgnGamAddr] = rSgnGam
+      nop.f              0
+      br.ret.sptk        b0
+}
+;;
+
+// here if x denormal or unnormal
+.align 32
+lgammal_denormal_input:
+{ .mfi
+      nop.m              0
+      fma.s0             fResH = f1, f1, f8 // raise denormal exception
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      fnorm.s1           f8 = f8 // normalize input value
+      nop.i              0
+}
+;;
+{ .mfi
+      getf.sig           rSignifX = f8
+      fmerge.se          fSignifX =  f1, f8
+      nop.i              0
+}
+{ .mfi
+      getf.exp           rSignExpX = f8
+      fcvt.fx.s1         fXint = f8 // Convert arg to int (int repres. in FR)
+      nop.i              0
+}
+;;
+{ .mfi
+      getf.exp           rSignExpX = f8
+      fcmp.lt.s1         p15, p14 = f8, f0
+      nop.i              0
+}
+;;
+{ .mfb
+      and                rExpX = rSignExpX, r17Ones
+      fmerge.s           fAbsX = f1, f8 // |x|
+      br.cond.sptk       _deno_back_to_main_path
+}
+;;
+
+
+// here if overflow (x > overflow_bound)
+.align 32
+lgammal_overflow:
+{ .mfi
+      addl               r8 = 0x1FFFE, r0
+      nop.f              0
+      cmp.eq             p6, p7 = 4, rSgnGamSize
+}
+{ .mfi
+      adds               rSgnGam = 1, r0
+      nop.f              0
+      nop.i              0
+}
+;;
+{ .mfi
+      setf.exp           f9 = r8
+      fmerge.s           FR_X = f8,f8
+      mov                GR_Parameter_TAG = 102 // overflow
+};;
+{ .mfi
+      // store signgam if size of variable is 4 bytes
+(p6)  st4                [rSgnGamAddr] = rSgnGam
+      nop.f              0
+      nop.i              0
+}
+{ .mfb
+      // store signgam if size of variable is 8 bytes
+(p7)  st8                [rSgnGamAddr] = rSgnGam
+      fma.s0             FR_RESULT = f9,f9,f0 // Set I,O and +INF result
+      br.cond.sptk       __libm_error_region
+};;
+
+// here if x is negative integer or +/-0 (SINGULARITY)
+.align 32
+lgammal_singularity:
+{ .mfi
+      adds               rSgnGam = 1, r0
+      fclass.m           p8,p0 = f8,0x6 // is x -0?
+      mov                GR_Parameter_TAG = 103 // negative
+}
+{ .mfi
+      cmp.eq             p6, p7 = 4, rSgnGamSize
+      fma.s1             FR_X = f0,f0,f8
+      nop.i              0
+};;
+{ .mfi
+(p8)  sub                rSgnGam = r0, rSgnGam
+      nop.f              0
+      nop.i              0
+}
+{ .mfi
+      nop.m              0
+      nop.f              0
+      nop.i              0
+};;
+{ .mfi
+      // store signgam if size of variable is 4 bytes
+(p6)  st4                [rSgnGamAddr] = rSgnGam
+      nop.f              0
+      nop.i              0
+}
+{ .mfb
+      // store signgam if size of variable is 8 bytes
+(p7)  st8                [rSgnGamAddr] = rSgnGam
+      frcpa.s0           FR_RESULT, p0 = f1, f0
+      br.cond.sptk       __libm_error_region
+};;
+
+GLOBAL_LIBM_END(__libm_lgammal)
+
+
+LOCAL_LIBM_ENTRY(__libm_error_region)
+.prologue
+{ .mfi
+        add   GR_Parameter_Y=-32,sp             // Parameter 2 value
+        nop.f 0
+.save   ar.pfs,GR_SAVE_PFS
+        mov  GR_SAVE_PFS=ar.pfs                 // Save ar.pfs
+}
+{ .mfi
+.fframe 64
+        add sp=-64,sp                           // Create new stack
+        nop.f 0
+        mov GR_SAVE_GP=gp                       // Save gp
+};;
+{ .mmi
+        stfe [GR_Parameter_Y] = FR_Y,16         // Save Parameter 2 on stack
+        add GR_Parameter_X = 16,sp              // Parameter 1 address
+.save   b0, GR_SAVE_B0
+        mov GR_SAVE_B0=b0                       // Save b0
+};;
+.body
+{ .mib
+        stfe [GR_Parameter_X] = FR_X            // Store Parameter 1 on stack
+        add   GR_Parameter_RESULT = 0,GR_Parameter_Y
+        nop.b 0                                 // Parameter 3 address
+}
+{ .mib
+        stfe [GR_Parameter_Y] = FR_RESULT      // Store Parameter 3 on stack
+        add   GR_Parameter_Y = -16,GR_Parameter_Y
+        br.call.sptk b0=__libm_error_support#  // Call error handling function
+};;
+{ .mmi
+        add   GR_Parameter_RESULT = 48,sp
+        nop.m 999
+        nop.i 999
+};;
+{ .mmi
+        ldfe  f8 = [GR_Parameter_RESULT]       // Get return result off stack
+.restore sp
+        add   sp = 64,sp                       // Restore stack pointer
+        mov   b0 = GR_SAVE_B0                  // Restore return address
+};;
+{ .mib
+        mov   gp = GR_SAVE_GP                  // Restore gp
+        mov   ar.pfs = GR_SAVE_PFS             // Restore ar.pfs
+        br.ret.sptk     b0                     // Return
+};;
+
+LOCAL_LIBM_END(__libm_error_region#)
+
+.type   __libm_error_support#,@function
+.global __libm_error_support#
diff --git a/sysdeps/ia64/fpu/libm_reduce.S b/sysdeps/ia64/fpu/libm_reduce.S
index 1c7f4e1e88..8bdf91d6de 100644
--- a/sysdeps/ia64/fpu/libm_reduce.S
+++ b/sysdeps/ia64/fpu/libm_reduce.S
@@ -1,10 +1,10 @@
 .file "libm_reduce.s"
 
-// Copyright (C) 2000, 2001, Intel Corporation
+
+// Copyright (c) 2000 - 2003, Intel Corporation
 // All rights reserved.
-// 
-// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story,
-// and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
 //
 // Redistribution and use in source and binary forms, with or without
 // modification, are permitted provided that the following conditions are
@@ -20,304 +20,310 @@
 // * The name of Intel Corporation may not be used to endorse or promote
 // products derived from this software without specific prior written
 // permission.
-//
-// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
-// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
-// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS 
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
 // CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
-// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, 
-// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 
-// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY 
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
 // OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
-// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 
-// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 
-// 
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+//
 // Intel Corporation is the author of this code, and requests that all
-// problem reports or change requests be submitted to it directly at 
-// http://developer.intel.com/opensource.
+// problem reports or change requests be submitted to it directly at
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
 //
-// History:  02/02/00 Initial Version
+// History:
+// 02/02/00 Initial Version
+// 05/13/02 Rescheduled for speed, changed interface to pass
+//          parameters in fp registers
+// 02/10/03 Reordered header: .section, .global, .proc, .align;
+//          used data8 for long double data storage
 //
-// *********************************************************************
-// *********************************************************************
+//*********************************************************************
+//*********************************************************************
 //
 // Function:   __libm_pi_by_two_reduce(x) return r, c, and N where
 //             x = N * pi/4 + (r+c) , where |r+c| <= pi/4.
 //             This function is not designed to be used by the
 //             general user.
 //
-// *********************************************************************
+//*********************************************************************
 //
 // Accuracy:       Returns double-precision values
 //
-// *********************************************************************
+//*********************************************************************
 //
 // Resources Used:
 //
-//    Floating-Point Registers: f32-f70
+//    Floating-Point Registers:
+//      f8  = Input x, return value r
+//      f9  = return value c
+//      f32-f70
 //
 //    General Purpose Registers:
 //      r8  = return value N
-//      r32 = Address of x
-//      r33 = Address of where to place r and then c 
 //      r34-r64
 //
 //    Predicate Registers:      p6-p14
 //
-// *********************************************************************
+//*********************************************************************
 //
 // IEEE Special Conditions:
 //
-//    No condions should be raised. 
+//    No condions should be raised.
 //
-// *********************************************************************
+//*********************************************************************
 //
 // I. Introduction
 // ===============
 //
 // For the forward trigonometric functions sin, cos, sincos, and
-// tan, the original algorithms for IA 64 handle arguments up to 
+// tan, the original algorithms for IA 64 handle arguments up to
 // 1 ulp less than 2^63 in magnitude. For double-extended arguments x,
-// |x| >= 2^63, this routine returns CASE, N and r_hi, r_lo where
-// 
+// |x| >= 2^63, this routine returns N and r_hi, r_lo where
+//
 //    x  is accurately approximated by
 //    2*K*pi  +  N * pi/2  +  r_hi + r_lo,  |r_hi+r_lo| <= pi/4.
 //    CASE = 1 or 2.
 //    CASE is 1 unless |r_hi + r_lo| < 2^(-33).
-// 
+//
 // The exact value of K is not determined, but that information is
 // not required in trigonometric function computations.
-// 
-// We first assume the argument x in question satisfies x >= 2^(63). 
+//
+// We first assume the argument x in question satisfies x >= 2^(63).
 // In particular, it is positive. Negative x can be handled by symmetry:
-// 
+//
 //   -x  is accurately approximated by
 //         -2*K*pi  +  (-N) * pi/2  -  (r_hi + r_lo),  |r_hi+r_lo| <= pi/4.
-// 
+//
 // The idea of the reduction is that
-// 
-// 	x  *  2/pi   =   N_big  +  N  +  f,	|f| <= 1/2
-// 
+//
+//       x  *  2/pi   =   N_big  +  N  +  f,      |f| <= 1/2
+//
 // Moreover, for double extended x, |f| >= 2^(-75). (This is an
 // non-obvious fact found by enumeration using a special algorithm
-// involving continued fraction.) The algorithm described below 
+// involving continued fraction.) The algorithm described below
 // calculates N and an accurate approximation of f.
-// 
-// Roughly speaking, an appropriate 256-bit (4 X 64) portion of 
+//
+// Roughly speaking, an appropriate 256-bit (4 X 64) portion of
 // 2/pi is multiplied with x to give the desired information.
-// 
+//
 // II. Representation of 2/PI
 // ==========================
-// 
+//
 // The value of 2/pi in binary fixed-point is
-// 
+//
 //            .101000101111100110......
-// 
+//
 // We store 2/pi in a table, starting at the position corresponding
-// to bit position 63 
-// 
+// to bit position 63
+//
 //   bit position  63 62 ... 0   -1 -2 -3 -4 -5 -6 -7  ....  -16576
-// 
-// 	 	0  0  ... 0  . 1  0  1  0  1  0  1  ....    X
-//                 
+//
+//              0  0  ... 0  . 1  0  1  0  1  0  1  ....    X
+//
 //                              ^
-// 	     	             |__ implied binary pt 
-// 
+//                               |__ implied binary pt
+//
 // III. Algorithm
 // ==============
-// 
+//
 // This describes the algorithm in the most natural way using
-// unsigned interger multiplication. The implementation section 
+// unsigned interger multiplication. The implementation section
 // describes how the integer arithmetic is simulated.
-// 
+//
 // STEP 0. Initialization
 // ----------------------
-// 
-// Let the input argument x be 
-// 
+//
+// Let the input argument x be
+//
 //     x = 2^m * ( 1. b_1 b_2 b_3 ... b_63 ),  63 <= m <= 16383.
-// 
-// The first crucial step is to fetch four 64-bit portions of 2/pi. 
+//
+// The first crucial step is to fetch four 64-bit portions of 2/pi.
 // To fulfill this goal, we calculate the bit position L of the
 // beginning of these 256-bit quantity by
-// 
+//
 //     L :=  62 - m.
-// 
-// Note that -16321 <= L <= -1 because 63 <= m <= 16383; and that 
+//
+// Note that -16321 <= L <= -1 because 63 <= m <= 16383; and that
 // the storage of 2/pi is adequate.
-// 
+//
 // Fetch P_1, P_2, P_3, P_4 beginning at bit position L thus:
-// 
+//
 //      bit position  L  L-1  L-2    ...  L-63
-// 
+//
 //      P_1    =      b   b    b     ...    b
-// 
+//
 // each b can be 0 or 1. Also, let P_0 be the two bits correspoding to
 // bit positions L+2 and L+1. So, when each of the P_j is interpreted
 // with appropriate scaling, we have
 //
 //      2/pi  =  P_big  + P_0 + (P_1 + P_2 + P_3 + P_4)  +  P_small
-// 
+//
 // Note that P_big and P_small can be ignored. The reasons are as follow.
 // First, consider P_big. If P_big = 0, we can certainly ignore it.
-// Otherwise, P_big >= 2^(L+3). Now, 
-// 
+// Otherwise, P_big >= 2^(L+3). Now,
+//
 //        P_big * ulp(x) >=  2^(L+3) * 2^(m-63)
-// 		      >=  2^(65-m  +  m-63 )
-// 		      >=  2^2
-// 
+//                   >=  2^(65-m  +  m-63 )
+//                   >=  2^2
+//
 // Thus, P_big * x is an integer of the form 4*K. So
-// 
-// 	x = 4*K * (pi/2) + x*(P_0 + P_1 + P_2 + P_3 + P_4)*(pi/2)
+//
+//       x = 4*K * (pi/2) + x*(P_0 + P_1 + P_2 + P_3 + P_4)*(pi/2)
 //                + x*P_small*(pi/2).
-// 
+//
 // Hence, P_big*x corresponds to information that can be ignored for
 // trigonometic function evaluation.
-// 
+//
 // Next, we must estimate the effect of ignoring P_small. The absolute
 // error made by ignoring P_small is bounded by
-// 
+//
 //       |P_small * x|  <=  ulp(P_4) * x
-// 		     <=  2^(L-255) * 2^(m+1)
-// 		     <=  2^(62-m-255 + m + 1)
-// 		     <=  2^(-192)
-// 
-// Since for double-extended precision, x * 2/pi = integer + f, 
+//                  <=  2^(L-255) * 2^(m+1)
+//                  <=  2^(62-m-255 + m + 1)
+//                  <=  2^(-192)
+//
+// Since for double-extended precision, x * 2/pi = integer + f,
 // 0.5 >= |f| >= 2^(-75), the relative error introduced by ignoring
 // P_small is bounded by 2^(-192+75) <= 2^(-117), which is acceptable.
-// 
+//
 // Further note that if x is split into x_hi + x_lo where x_lo is the
 // two bits corresponding to bit positions 2^(m-62) and 2^(m-63); then
-// 
-// 	P_0 * x_hi 
-// 
+//
+//       P_0 * x_hi
+//
 // is also an integer of the form 4*K; and thus can also be ignored.
 // Let M := P_0 * x_lo which is a small integer. The main part of the
 // calculation is really the multiplication of x with the four pieces
 // P_1, P_2, P_3, and P_4.
-// 
+//
 // Unless the reduced argument is extremely small in magnitude, it
 // suffices to carry out the multiplication of x with P_1, P_2, and
-// P_3. x*P_4 will be carried out and added on as a correction only 
+// P_3. x*P_4 will be carried out and added on as a correction only
 // when it is found to be needed. Note also that x*P_4 need not be
 // computed exactly. A straightforward multiplication suffices since
 // the rounding error thus produced would be bounded by 2^(-3*64),
 // that is 2^(-192) which is small enough as the reduced argument
 // is bounded from below by 2^(-75).
-// 
+//
 // Now that we have four 64-bit data representing 2/pi and a
 // 64-bit x. We first need to calculate a highly accurate product
 // of x and P_1, P_2, P_3. This is best understood as integer
 // multiplication.
-// 
-// 
+//
+//
 // STEP 1. Multiplication
 // ----------------------
-// 
-// 
+//
+//
 //                     ---------   ---------   ---------
-// 	             |  P_1  |   |  P_2  |   |  P_3  |
-// 	             ---------   ---------   ---------
-// 
+//                    |  P_1  |   |  P_2  |   |  P_3  |
+//                    ---------   ---------   ---------
+//
+//                                            ---------
+//             X                              |   X   |
 //                                            ---------
-// 	      X                              |   X   |
-// 	                                     ---------
 //      ----------------------------------------------------
 //
 //                                 ---------   ---------
-//	                         |  A_hi |   |  A_lo |
-//	                         ---------   ---------
+//                               |  A_hi |   |  A_lo |
+//                               ---------   ---------
 //
 //
 //                    ---------   ---------
-//	             |  B_hi |   |  B_lo |
-//	             ---------   ---------
+//                   |  B_hi |   |  B_lo |
+//                   ---------   ---------
 //
 //
-//        ---------   ---------  
-//	 |  C_hi |   |  C_lo |  
-//	 ---------   ---------  
+//        ---------   ---------
+//       |  C_hi |   |  C_lo |
+//       ---------   ---------
 //
 //      ====================================================
 //       ---------   ---------   ---------   ---------
-//	 |  S_0  |   |  S_1  |   |  S_2  |   |  S_3  |
-//	 ---------   ---------   ---------   ---------
+//       |  S_0  |   |  S_1  |   |  S_2  |   |  S_3  |
+//       ---------   ---------   ---------   ---------
 //
 //
 //
 // STEP 2. Get N and f
 // -------------------
-// 
+//
 // Conceptually, after the individual pieces S_0, S_1, ..., are obtained,
 // we have to sum them and obtain an integer part, N, and a fraction, f.
 // Here, |f| <= 1/2, and N is an integer. Note also that N need only to
 // be known to module 2^k, k >= 2. In the case when |f| is small enough,
 // we would need to add in the value x*P_4.
-// 
-// 
+//
+//
 // STEP 3. Get reduced argument
 // ----------------------------
-// 
+//
 // The value f is not yet the reduced argument that we seek. The
 // equation
-// 
-// 	x * 2/pi = 4K  + N  + f
-// 
+//
+//       x * 2/pi = 4K  + N  + f
+//
 // says that
-// 
+//
 //         x   =  2*K*pi  + N * pi/2  +  f * (pi/2).
-// 
+//
 // Thus, the reduced argument is given by
-// 
-// 	reduced argument =  f * pi/2.
-// 
+//
+//       reduced argument =  f * pi/2.
+//
 // This multiplication must be performed to extra precision.
-// 
+//
 // IV. Implementation
 // ==================
-// 
+//
 // Step 0. Initialization
 // ----------------------
-// 
+//
 // Set sgn_x := sign(x); x := |x|; x_lo := 2 lsb of x.
-// 
+//
 // In memory, 2/pi is stored contigously as
-// 
+//
 //  0x00000000 0x00000000 0xA2F....
 //                       ^
 //                       |__ implied binary bit
-// 
+//
 // Given x = 2^m * 1.xxxx...xxx; we calculate L := 62 - m. Thus
 // -1 <= L <= -16321. We fetch from memory 5 integer pieces of data.
-// 
+//
 // P_0 is the two bits corresponding to bit positions L+2 and L+1
 // P_1 is the 64-bit starting at bit position  L
 // P_2 is the 64-bit starting at bit position  L-64
 // P_3 is the 64-bit starting at bit position  L-128
 // P_4 is the 64-bit starting at bit position  L-192
-// 
+//
 // For example, if m = 63, P_0 would be 0 and P_1 would look like
 // 0xA2F...
-// 
+//
 // If m = 65, P_0 would be the two msb of 0xA, thus, P_0 is 10 in binary.
-// P_1 in binary would be  1 0 0 0 1 0 1 1 1 1 .... 
-//  
+// P_1 in binary would be  1 0 0 0 1 0 1 1 1 1 ....
+//
 // Step 1. Multiplication
 // ----------------------
-// 
+//
 // At this point, P_1, P_2, P_3, P_4 are integers. They are
 // supposed to be interpreted as
-// 
+//
 //  2^(L-63)     * P_1;
 //  2^(L-63-64)  * P_2;
 //  2^(L-63-128) * P_3;
 // 2^(L-63-192) * P_4;
-// 
+//
 // Since each of them need to be multiplied to x, we would scale
 // both x and the P_j's by some convenient factors: scale each
 // of P_j's up by 2^(63-L), and scale x down by 2^(L-63).
-// 
+//
 //   p_1 := fcvt.xf ( P_1 )
 //   p_2 := fcvt.xf ( P_2 ) * 2^(-64)
 //   p_3 := fcvt.xf ( P_3 ) * 2^(-128)
@@ -325,30 +331,30 @@
 //   x   := replace exponent of x by -1
 //          because 2^m    * 1.xxxx...xxx  * 2^(L-63)
 //          is      2^(-1) * 1.xxxx...xxx
-// 
+//
 // We are now faced with the task of computing the following
-// 
+//
 //                     ---------   ---------   ---------
-// 	             |  P_1  |   |  P_2  |   |  P_3  |
-// 	             ---------   ---------   ---------
-// 
+//                    |  P_1  |   |  P_2  |   |  P_3  |
+//                    ---------   ---------   ---------
+//
 //                                             ---------
-// 	      X                              |   X   |
-// 	                                     ---------
+//             X                              |   X   |
+//                                            ---------
 //       ----------------------------------------------------
-// 
+//
 //                                 ---------   ---------
-// 	                         |  A_hi |   |  A_lo |
-// 	                         ---------   ---------
-// 
+//                                |  A_hi |   |  A_lo |
+//                                ---------   ---------
+//
 //                     ---------   ---------
-// 	             |  B_hi |   |  B_lo |
-// 	             ---------   ---------
-// 
-//         ---------   ---------  
-// 	 |  C_hi |   |  C_lo |  
-// 	 ---------   ---------  
-// 
+//                    |  B_hi |   |  B_lo |
+//                    ---------   ---------
+//
+//         ---------   ---------
+//        |  C_hi |   |  C_lo |
+//        ---------   ---------
+//
 //      ====================================================
 //       -----------   ---------   ---------   ---------
 //       |    S_0  |   |  S_1  |   |  S_2  |   |  S_3  |
@@ -357,108 +363,108 @@
 //        |          |___ binary point
 //        |
 //        |___ possibly one more bit
-// 
+//
 // Let FPSR3 be set to round towards zero with widest precision
-// and exponent range. Unless an explicit FPSR is given, 
+// and exponent range. Unless an explicit FPSR is given,
 // round-to-nearest with widest precision and exponent range is
 // used.
-// 
+//
 // Define sigma_C := 2^63; sigma_B := 2^(-1); sigma_C := 2^(-65).
-// 
+//
 // Tmp_C := fmpy.fpsr3( x, p_1 );
 // If Tmp_C >= sigma_C then
 //    C_hi := Tmp_C;
 //    C_lo := x*p_1 - C_hi ...fma, exact
 // Else
 //    C_hi := fadd.fpsr3(sigma_C, Tmp_C) - sigma_C
-// 			...subtraction is exact, regardless
-// 			...of rounding direction
+//                   ...subtraction is exact, regardless
+//                   ...of rounding direction
 //    C_lo := x*p_1 - C_hi ...fma, exact
 // End If
-// 
+//
 // Tmp_B := fmpy.fpsr3( x, p_2 );
 // If Tmp_B >= sigma_B then
 //    B_hi := Tmp_B;
 //    B_lo := x*p_2 - B_hi ...fma, exact
 // Else
 //    B_hi := fadd.fpsr3(sigma_B, Tmp_B) - sigma_B
-// 			...subtraction is exact, regardless
-// 			...of rounding direction
+//                   ...subtraction is exact, regardless
+//                   ...of rounding direction
 //    B_lo := x*p_2 - B_hi ...fma, exact
 // End If
-// 
+//
 // Tmp_A := fmpy.fpsr3( x, p_3 );
 // If Tmp_A >= sigma_A then
 //    A_hi := Tmp_A;
 //    A_lo := x*p_3 - A_hi ...fma, exact
 // Else
 //    A_hi := fadd.fpsr3(sigma_A, Tmp_A) - sigma_A
-// 			...subtraction is exact, regardless
-// 			...of rounding direction
+//                   ...subtraction is exact, regardless
+//                   ...of rounding direction
 //    A_lo := x*p_3 - A_hi ...fma, exact
 // End If
-// 
+//
 // ...Note that C_hi is of integer value. We need only the
-// ...last few bits. Thus we can ensure C_hi is never a big 
+// ...last few bits. Thus we can ensure C_hi is never a big
 // ...integer, freeing us from overflow worry.
-// 
+//
 // Tmp_C := fadd.fpsr3( C_hi, 2^(70) ) - 2^(70);
 // ...Tmp_C is the upper portion of C_hi
 // C_hi := C_hi - Tmp_C
 // ...0 <= C_hi < 2^7
-// 
+//
 // Step 2. Get N and f
 // -------------------
-// 
-// At this point, we have all the components to obtain 
+//
+// At this point, we have all the components to obtain
 // S_0, S_1, S_2, S_3 and thus N and f. We start by adding
 // C_lo and B_hi. This sum together with C_hi gives a good
-// estimation of N and f. 
-// 
+// estimation of N and f.
+//
 // A := fadd.fpsr3( B_hi, C_lo )
 // B := max( B_hi, C_lo )
 // b := min( B_hi, C_lo )
-// 
-// a := (B - A) + b	...exact. Note that a is either 0
-// 			...or 2^(-64).
-// 
+//
+// a := (B - A) + b      ...exact. Note that a is either 0
+//                   ...or 2^(-64).
+//
 // N := round_to_nearest_integer_value( A );
-// f := A - N;		...exact because lsb(A) >= 2^(-64)
-// 			...and |f| <= 1/2.
-// 
-// f := f + a		...exact because a is 0 or 2^(-64);
-// 			...the msb of the sum is <= 1/2
-// 			...lsb >= 2^(-64).
-// 
+// f := A - N;            ...exact because lsb(A) >= 2^(-64)
+//                   ...and |f| <= 1/2.
+//
+// f := f + a            ...exact because a is 0 or 2^(-64);
+//                   ...the msb of the sum is <= 1/2
+//                   ...lsb >= 2^(-64).
+//
 // N := convert to integer format( C_hi + N );
 // M := P_0 * x_lo;
 // N := N + M;
-// 
+//
 // If sgn_x == 1 (that is original x was negative)
 // N := 2^10 - N
 // ...this maintains N to be non-negative, but still
 // ...equivalent to the (negated N) mod 4.
 // End If
-// 
+//
 // If |f| >= 2^(-33)
-// 
+//
 // ...Case 1
 // CASE := 1
 // g := A_hi + B_lo;
 // s_hi := f + g;
 // s_lo := (f - s_hi) + g;
-// 
+//
 // Else
-// 
+//
 // ...Case 2
 // CASE := 2
 // A := fadd.fpsr3( A_hi, B_lo )
 // B := max( A_hi, B_lo )
 // b := min( A_hi, B_lo )
-// 
-// a := (B - A) + b	...exact. Note that a is either 0
-// 			...or 2^(-128).
-// 
+//
+// a := (B - A) + b      ...exact. Note that a is either 0
+//                   ...or 2^(-128).
+//
 // f_hi := A + f;
 // f_lo := (f - f_hi) + A;
 // ...this is exact.
@@ -468,9 +474,9 @@
 // ...If f = 2^(-64), f-f_hi involves cancellation and is
 // ...exact. If f = -2^(-64), then A + f is exact. Hence
 // ...f-f_hi is -A exactly, giving f_lo = 0.
-// 
+//
 // f_lo := f_lo + a;
-// 
+//
 // If |f| >= 2^(-50) then
 //    s_hi := f_hi;
 //    s_lo := f_lo;
@@ -479,117 +485,111 @@
 //    s_hi := f_hi + f_lo
 //    s_lo := (f_hi - s_hi) + f_lo
 // End If
-// 
+//
 // End If
-// 
+//
 // Step 3. Get reduced argument
 // ----------------------------
-// 
+//
 // If sgn_x == 0 (that is original x is positive)
-// 
+//
 // D_hi := Pi_by_2_hi
 // D_lo := Pi_by_2_lo
 // ...load from table
-// 
+//
 // Else
-// 
+//
 // D_hi := neg_Pi_by_2_hi
 // D_lo := neg_Pi_by_2_lo
 // ...load from table
 // End If
-// 
+//
 // r_hi :=  s_hi*D_hi
-// r_lo :=  s_hi*D_hi - r_hi   	...fma
+// r_lo :=  s_hi*D_hi - r_hi         ...fma
 // r_lo := (s_hi*D_lo + r_lo) + s_lo*D_hi
-// 
-// Return  CASE, N, r_hi, r_lo
-//
-
-#include "libm_support.h"
-
-FR_X       = f32 
-FR_N       = f33 
-FR_p_1     = f34 
-FR_TWOM33  = f35 
-FR_TWOM50  = f36 
-FR_g       = f37 
-FR_p_2     = f38 
-FR_f       = f39 
-FR_s_lo    = f40 
-FR_p_3     = f41 
-FR_f_abs   = f42 
-FR_D_lo    = f43 
-FR_p_4     = f44 
-FR_D_hi    = f45 
-FR_Tmp2_C  = f46 
-FR_s_hi    = f47 
-FR_sigma_A = f48 
-FR_A       = f49 
-FR_sigma_B = f50 
-FR_B       = f51 
-FR_sigma_C = f52 
-FR_b       = f53 
-FR_ScaleP2 = f54 
-FR_ScaleP3 = f55 
-FR_ScaleP4 = f56 
-FR_Tmp_A   = f57 
-FR_Tmp_B   = f58 
-FR_Tmp_C   = f59 
-FR_A_hi    = f60 
-FR_f_hi    = f61 
-FR_r_hi    = f62 
-FR_A_lo    = f63 
-FR_B_hi    = f64 
-FR_a       = f65 
-FR_B_lo    = f66 
+//
+// Return  N, r_hi, r_lo
+//
+FR_input_X = f8
+FR_r_hi    = f8
+FR_r_lo    = f9
+
+FR_X       = f32
+FR_N       = f33
+FR_p_1     = f34
+FR_TWOM33  = f35
+FR_TWOM50  = f36
+FR_g       = f37
+FR_p_2     = f38
+FR_f       = f39
+FR_s_lo    = f40
+FR_p_3     = f41
+FR_f_abs   = f42
+FR_D_lo    = f43
+FR_p_4     = f44
+FR_D_hi    = f45
+FR_Tmp2_C  = f46
+FR_s_hi    = f47
+FR_sigma_A = f48
+FR_A       = f49
+FR_sigma_B = f50
+FR_B       = f51
+FR_sigma_C = f52
+FR_b       = f53
+FR_ScaleP2 = f54
+FR_ScaleP3 = f55
+FR_ScaleP4 = f56
+FR_Tmp_A   = f57
+FR_Tmp_B   = f58
+FR_Tmp_C   = f59
+FR_A_hi    = f60
+FR_f_hi    = f61
+FR_RSHF    = f62
+FR_A_lo    = f63
+FR_B_hi    = f64
+FR_a       = f65
+FR_B_lo    = f66
 FR_f_lo    = f67
-FR_r_lo    = f68 
-FR_C_hi    = f69 
-FR_C_lo    = f70 
+FR_N_fix   = f68
+FR_C_hi    = f69
+FR_C_lo    = f70
 
 GR_N       = r8
-GR_Address_of_Input  = r32 
-GR_Address_of_Outputs = r33 
-GR_Exp_x   = r36 
-GR_Temp    = r37 
-GR_BIASL63 = r38 
+GR_Exp_x   = r36
+GR_Temp    = r37
+GR_BIASL63 = r38
 GR_CASE    = r39
-GR_x_lo    = r40 
-GR_sgn_x   = r41 
+GR_x_lo    = r40
+GR_sgn_x   = r41
 GR_M       = r42
 GR_BASE    = r43
 GR_LENGTH1 = r44
 GR_LENGTH2 = r45
 GR_ASUB    = r46
 GR_P_0     = r47
-GR_P_1     = r48 
-GR_P_2     = r49 
-GR_P_3     = r50 
-GR_P_4     = r51 
+GR_P_1     = r48
+GR_P_2     = r49
+GR_P_3     = r50
+GR_P_4     = r51
 GR_START   = r52
 GR_SEGMENT = r53
 GR_A       = r54
-GR_B       = r55 
+GR_B       = r55
 GR_C       = r56
 GR_D       = r57
 GR_E       = r58
-GR_TEMP1   = r59 
-GR_TEMP2   = r60 
-GR_TEMP3   = r61 
-GR_TEMP4   = r62 
+GR_TEMP1   = r59
+GR_TEMP2   = r60
+GR_TEMP3   = r61
+GR_TEMP4   = r62
 GR_TEMP5   = r63
 GR_TEMP6   = r64
+GR_rshf    = r64
 
+RODATA
 .align 64
 
-#ifdef _LIBC
-.rodata
-#else
-.data
-#endif
-
-Constants_Bits_of_2_by_pi:
-ASM_TYPE_DIRECTIVE(Constants_Bits_of_2_by_pi,@object)
+LOCAL_OBJECT_START(Constants_Bits_of_2_by_pi)
 data8 0x0000000000000000,0xA2F9836E4E441529
 data8 0xFC2757D1F534DDC0,0xDB6295993C439041
 data8 0xFE5163ABDEBBC561,0xB7246E3A424DD2E0
@@ -721,34 +721,33 @@ data8 0xB5D6DF8261DD9602,0x36169F3AC4A1A283
 data8 0x6DED727A8D39A9B8,0x825C326B5B2746ED
 data8 0x34007700D255F4FC,0x4D59018071E0E13F
 data8 0x89B295F364A8F1AE,0xA74B38FC4CEAB2BB
-ASM_SIZE_DIRECTIVE(Constants_Bits_of_2_by_pi)
+LOCAL_OBJECT_END(Constants_Bits_of_2_by_pi)
 
-Constants_Bits_of_pi_by_2:
-ASM_TYPE_DIRECTIVE(Constants_Bits_of_pi_by_2,@object)
-data4 0x2168C234,0xC90FDAA2,0x00003FFF,0x00000000
-data4 0x80DC1CD1,0xC4C6628B,0x00003FBF,0x00000000
-ASM_SIZE_DIRECTIVE(Constants_Bits_of_pi_by_2)
+LOCAL_OBJECT_START(Constants_Bits_of_pi_by_2)
+data8 0xC90FDAA22168C234,0x00003FFF
+data8 0xC4C6628B80DC1CD1,0x00003FBF
+LOCAL_OBJECT_END(Constants_Bits_of_pi_by_2)
 
 .section .text
-.proc __libm_pi_by_2_reduce#
 .global __libm_pi_by_2_reduce#
-.align 64 
+.proc __libm_pi_by_2_reduce#
+.align 32
 
-__libm_pi_by_2_reduce: 
+__libm_pi_by_2_reduce:
 
-//    X is at the address in Address_of_Input
-//    Place the two-piece result at the address in Address_of_Outputs
-//    r followed by c
-//    N is returned
+//    X is in f8
+//    Place the two-piece result r (r_hi) in f8 and c (r_lo) in f9
+//    N is returned in r8
 
-{ .mmf
-alloc  r34 = ar.pfs,2,34,0,0
-(p0)  ldfe  FR_X = [GR_Address_of_Input]
-(p0)  fsetc.s3 0x00,0x7F ;;
+{ .mfi
+      alloc  r34 = ar.pfs,2,34,0,0
+      fsetc.s3 0x00,0x7F     // Set sf3 to round to zero, 82-bit prec, td, ftz
+      nop.i 999
 }
-{ .mlx
-	nop.m 999
-(p0)  movl GR_BIASL63 = 0x1003E
+{ .mfi
+      addl           GR_BASE   = @ltoff(Constants_Bits_of_2_by_pi#), gp
+      nop.f 999
+      mov GR_BIASL63 = 0x1003E
 }
 ;;
 
@@ -765,73 +764,61 @@ alloc  r34 = ar.pfs,2,34,0,0
 //    Address_BASE = shladd(SEGMENT,3) + BASE
 
 
-
 { .mmi
-      nop.m 999
-(p0)  addl           GR_BASE   = @ltoff(Constants_Bits_of_2_by_pi#), gp
-      nop.i 999
+      getf.exp GR_Exp_x = FR_input_X
+      ld8 GR_BASE = [GR_BASE]
+      mov GR_TEMP5 = 0x0FFFE
 }
 ;;
 
+//    Define sigma_C := 2^63; sigma_B := 2^(-1); sigma_A := 2^(-65).
 { .mmi
-      ld8 GR_BASE = [GR_BASE]
-      nop.m 999
+      getf.sig GR_x_lo = FR_input_X
+      mov GR_TEMP6 = 0x0FFBE
       nop.i 999
 }
 ;;
 
-
-{ .mlx
-	nop.m 999
-(p0)  movl GR_TEMP5 = 0x000000000000FFFE
-}
-{ .mmi
-	nop.m 999 ;;
-(p0)  setf.exp FR_sigma_B = GR_TEMP5
-	nop.i 999
-}
-{ .mlx
-	nop.m 999
-(p0)  movl GR_TEMP6 = 0x000000000000FFBE ;;
-}
-//    Define sigma_C := 2^63; sigma_B := 2^(-1); sigma_A := 2^(-65).
-{ .mfi
-(p0)  setf.exp FR_sigma_A = GR_TEMP6
-	nop.f 999
-	nop.i 999 ;;
-}
-//    Special Code for testing DE arguments 
-//    (p0)  movl GR_BIASL63 = 0x0000000000013FFE
-//    (p0)  movl GR_x_lo = 0xFFFFFFFFFFFFFFFF
-//    (p0)  setf.exp FR_X = GR_BIASL63
-//    (p0)  setf.sig FR_ScaleP3 = GR_x_lo
-//    (p0)  fmerge.se FR_X = FR_X,FR_ScaleP3
+//    Special Code for testing DE arguments
+//          movl GR_BIASL63 = 0x0000000000013FFE
+//          movl GR_x_lo = 0xFFFFFFFFFFFFFFFF
+//          setf.exp FR_X = GR_BIASL63
+//          setf.sig FR_ScaleP3 = GR_x_lo
+//          fmerge.se FR_X = FR_X,FR_ScaleP3
 //    Set sgn_x := sign(x); x := |x|; x_lo := 2 lsb of x.
 //    2/pi is stored contigously as
 //    0x00000000 0x00000000.0xA2F....
 //    M = EXP - BIAS  ( M >= 63)
 //    Given x = 2^m * 1.xxxx...xxx; we calculate L := 62 - m.
 //    Thus -1 <= L <= -16321.
-{ .mmf
-(p0)  getf.exp GR_Exp_x = FR_X
-(p0)  getf.sig GR_x_lo = FR_X
-(p0)  fabs FR_X = FR_X ;;
+{ .mmi
+      setf.exp FR_sigma_B = GR_TEMP5
+      setf.exp FR_sigma_A = GR_TEMP6
+      extr.u GR_M = GR_Exp_x,0,17
 }
+;;
+
 { .mii
-(p0)  and  GR_x_lo = 0x03,GR_x_lo
-(p0)  extr.u GR_M = GR_Exp_x,0,17 ;;
-(p0)  sub  GR_START = GR_M,GR_BIASL63
+      and  GR_x_lo = 0x03,GR_x_lo
+      sub  GR_START = GR_M,GR_BIASL63
+      add  GR_BASE = 8,GR_BASE           // To effectively add 1 to SEGMENT
 }
-{ .mmi
-	nop.m 999 ;;
-(p0)  and  GR_LENGTH1 = 0x3F,GR_START
-(p0)  shr.u  GR_SEGMENT = GR_START,6
+;;
+
+{ .mii
+      and  GR_LENGTH1 = 0x3F,GR_START
+      shr.u  GR_SEGMENT = GR_START,6
+      nop.i 999
 }
+;;
+
 { .mmi
-	nop.m 999 ;;
-(p0)  add  GR_SEGMENT = 0x1,GR_SEGMENT
-(p0)  sub  GR_LENGTH2 = 0x40,GR_LENGTH1
+      shladd GR_BASE = GR_SEGMENT,3,GR_BASE
+      sub  GR_LENGTH2 = 0x40,GR_LENGTH1
+      cmp.le p6,p7 = 0x2,GR_LENGTH1
 }
+;;
+
 //    P_0 is the two bits corresponding to bit positions L+2 and L+1
 //    P_1 is the 64-bit starting at bit position  L
 //    P_2 is the 64-bit starting at bit position  L-64
@@ -849,13 +836,13 @@ alloc  r34 = ar.pfs,2,34,0,0
 //    P_4 is made up of Clo and Dhi
 //    P_4 = deposit Dlo, position 0, length2  into P_4, position length1
 //          deposit Ehi, position length2, length1 into P_4, position 0
-{ .mmi
-(p0)  cmp.le.unc p6,p7 = 0x2,GR_LENGTH1 ;;
-(p0)  shladd GR_BASE = GR_SEGMENT,3,GR_BASE
-(p7)  cmp.eq.unc p8,p9 = 0x1,GR_LENGTH1 ;;
+{ .mfi
+      ld8 GR_A = [GR_BASE],8
+      fabs FR_X = FR_input_X
+(p7)  cmp.eq.unc p8,p9 = 0x1,GR_LENGTH1
 }
-{ .mmi
-	nop.m 999
+;;
+
 //    ld_64 A at Base and increment Base by 8
 //    ld_64 B at Base and increment Base by 8
 //    ld_64 C at Base and increment Base by 8
@@ -866,31 +853,35 @@ alloc  r34 = ar.pfs,2,34,0,0
 //    A, B, C, D, and E look like    | length1 | length2   |
 //                                    ---------------------
 //                                       hi        lo
-(p0)  ld8 GR_A = [GR_BASE],8
-(p0)  extr.u GR_sgn_x = GR_Exp_x,17,1 ;;
-}
-{ .mmf
-	nop.m 999
-(p0)  ld8 GR_B = [GR_BASE],8
-(p0)  fmerge.se FR_X = FR_sigma_B,FR_X ;;
+{ .mlx
+      ld8 GR_B = [GR_BASE],8
+      movl GR_rshf = 0x43e8000000000000   // 1.10000 2^63 for right shift N_fix
 }
-{ .mii
-(p0)  ld8 GR_C = [GR_BASE],8
-(p8)  extr.u GR_Temp = GR_A,63,1 ;;
-(p0)  shl GR_TEMP1 = GR_A,GR_LENGTH1
+;;
+
+{ .mmi
+      ld8 GR_C = [GR_BASE],8
+      nop.m 999
+(p8)  extr.u GR_Temp = GR_A,63,1
 }
-{ .mii
-(p0)  ld8 GR_D = [GR_BASE],8
+;;
+
 //    If length1 >= 2,
 //       P_0 = deposit Ahi, position length2, 2 bit into P_0 at position 0.
-(p6)     shr.u GR_P_0 = GR_A,GR_LENGTH2 ;;
-(p0)  shl GR_TEMP2 = GR_B,GR_LENGTH1
+{ .mii
+      ld8 GR_D = [GR_BASE],8
+      shl GR_TEMP1 = GR_A,GR_LENGTH1   // MM instruction
+(p6)  shr.u GR_P_0 = GR_A,GR_LENGTH2   // MM instruction
 }
+;;
+
 { .mii
-(p0)  ld8 GR_E = [GR_BASE],-40
-(p0)  shr.u GR_P_1 = GR_B,GR_LENGTH2 ;;
-(p0)  shr.u GR_P_2 = GR_C,GR_LENGTH2
+      ld8 GR_E = [GR_BASE],-40
+      shl GR_TEMP2 = GR_B,GR_LENGTH1   // MM instruction
+      shr.u GR_P_1 = GR_B,GR_LENGTH2   // MM instruction
 }
+;;
+
 //    Else
 //       Load 16 bit of ASUB from (Base_Address_of_A - 2)
 //       P_0 = ASUB & 0x3
@@ -900,43 +891,56 @@ alloc  r34 = ar.pfs,2,34,0,0
 //          Deposit element 63 from Ahi and place in element 0 of P_0.
 //       Endif
 //    Endif
+
 { .mii
 (p7)  ld2 GR_ASUB = [GR_BASE],8
-(p0)  shl GR_TEMP3 = GR_C,GR_LENGTH1 ;;
-(p0)  shl GR_TEMP4 = GR_D,GR_LENGTH1
+      shl GR_TEMP3 = GR_C,GR_LENGTH1   // MM instruction
+      shr.u GR_P_2 = GR_C,GR_LENGTH2   // MM instruction
 }
+;;
+
 { .mii
-	nop.m 999
-(p0)  shr.u GR_P_3 = GR_D,GR_LENGTH2 ;;
-(p0)  shr.u GR_P_4 = GR_E,GR_LENGTH2
+      setf.d FR_RSHF = GR_rshf         // Form right shift const 1.100 * 2^63
+      shl GR_TEMP4 = GR_D,GR_LENGTH1   // MM instruction
+      shr.u GR_P_3 = GR_D,GR_LENGTH2   // MM instruction
 }
-{ .mii
+;;
+
+{ .mmi
 (p7)  and GR_P_0 = 0x03,GR_ASUB
-(p6)     and GR_P_0 = 0x03,GR_P_0 ;;
-(p0)  or GR_P_1 = GR_P_1,GR_TEMP1
+(p6)  and GR_P_0 = 0x03,GR_P_0
+      shr.u GR_P_4 = GR_E,GR_LENGTH2   // MM instruction
 }
+;;
+
 { .mmi
-(p8)  and GR_P_0 = 0x1,GR_P_0 ;;
-(p0)  or GR_P_2 = GR_P_2,GR_TEMP2
-(p8)  shl GR_P_0 = GR_P_0,0x1 ;;
-}
-{ .mii
-	nop.m 999
-(p0)  or GR_P_3 = GR_P_3,GR_TEMP3
-(p8)  or GR_P_0 = GR_P_0,GR_Temp
+      nop.m 999
+      or GR_P_1 = GR_P_1,GR_TEMP1
+(p8)  and GR_P_0 = 0x1,GR_P_0
 }
+;;
+
 { .mmi
-(p0)  setf.sig FR_p_1 = GR_P_1 ;;
-(p0)  setf.sig FR_p_2 = GR_P_2
-(p0)  or GR_P_4 = GR_P_4,GR_TEMP4 ;;
+      setf.sig FR_p_1 = GR_P_1
+      or GR_P_2 = GR_P_2,GR_TEMP2
+(p8)  shladd GR_P_0 = GR_P_0,1,GR_Temp
 }
+;;
+
+{ .mmf
+      setf.sig FR_p_2 = GR_P_2
+      or GR_P_3 = GR_P_3,GR_TEMP3
+      fmerge.se FR_X = FR_sigma_B,FR_X
+}
+;;
+
 { .mmi
-	nop.m 999 ;;
-(p0)  setf.sig FR_p_3 = GR_P_3
-(p0)  pmpy2.r GR_M = GR_P_0,GR_x_lo
+      setf.sig FR_p_3 = GR_P_3
+      or GR_P_4 = GR_P_4,GR_TEMP4
+      pmpy2.r GR_M = GR_P_0,GR_x_lo
 }
-{ .mlx
-(p0)  setf.sig FR_p_4 = GR_P_4
+;;
+
 //    P_1, P_2, P_3, P_4 are integers. They should be
 //    2^(L-63)     * P_1;
 //    2^(L-63-64)  * P_2;
@@ -954,18 +958,18 @@ alloc  r34 = ar.pfs,2,34,0,0
 //             |  P_1  |   |  P_2  |   |  P_3  |
 //             ---------   ---------   ---------
 //                                           ---------
-//	      X                              |   X   |
-//	                                     ---------
+//            X                              |   X   |
+//                                           ---------
 //      ----------------------------------------------------
 //                               ---------   ---------
-//	                         |  A_hi |   |  A_lo |
-//	                         ---------   ---------
+//                               |  A_hi |   |  A_lo |
+//                               ---------   ---------
 //                   ---------   ---------
-//	             |  B_hi |   |  B_lo |
-//	             ---------   ---------
+//                   |  B_hi |   |  B_lo |
+//                   ---------   ---------
+//       ---------   ---------
+//       |  C_hi |   |  C_lo |
 //       ---------   ---------
-//	 |  C_hi |   |  C_lo |
-//	 ---------   ---------
 //     ====================================================
 //    -----------   ---------   ---------   ---------
 //    |    S_0  |   |  S_1  |   |  S_2  |   |  S_3  |
@@ -977,52 +981,55 @@ alloc  r34 = ar.pfs,2,34,0,0
 //    and exponent range. Unless an explicit FPSR is given,
 //    round-to-nearest with widest precision and exponent range is
 //    used.
-(p0)  movl GR_TEMP1 = 0x000000000000FFBF
-}
 { .mmi
-	nop.m 999 ;;
-(p0)  setf.exp FR_ScaleP2 = GR_TEMP1
-	nop.i 999
-}
-{ .mlx
-	nop.m 999
-(p0)  movl GR_TEMP4 = 0x000000000001003E
+      setf.sig FR_p_4 = GR_P_4
+      mov GR_TEMP1 = 0x0FFBF
+      nop.i 999
 }
+;;
+
 { .mmi
-	nop.m 999 ;;
-(p0)  setf.exp FR_sigma_C = GR_TEMP4
-	nop.i 999
+      setf.exp FR_ScaleP2 = GR_TEMP1
+      mov GR_TEMP2 = 0x0FF7F
+      nop.i 999
 }
-{ .mlx
-	nop.m 999
-(p0)  movl GR_TEMP2 = 0x000000000000FF7F ;;
+;;
+
+{ .mmi
+      setf.exp FR_ScaleP3 = GR_TEMP2
+      mov GR_TEMP4 = 0x1003E
+      nop.i 999
 }
+;;
+
 { .mmf
-	nop.m 999
-(p0)  setf.exp FR_ScaleP3 = GR_TEMP2
-(p0)  fcvt.xuf.s1 FR_p_1 = FR_p_1 ;;
+      setf.exp FR_sigma_C = GR_TEMP4
+      mov GR_Temp = 0x0FFDE
+      fcvt.xuf.s1 FR_p_1 = FR_p_1
 }
+;;
+
 { .mfi
-	nop.m 999
-(p0)  fcvt.xuf.s1 FR_p_2 = FR_p_2
-	nop.i 999
-}
-{ .mlx
-	nop.m 999
-(p0)  movl GR_Temp = 0x000000000000FFDE ;;
-}
-{ .mmf
-	nop.m 999
-(p0)  setf.exp FR_TWOM33 = GR_Temp
-(p0)  fcvt.xuf.s1 FR_p_3 = FR_p_3 ;;
+      setf.exp FR_TWOM33 = GR_Temp
+      fcvt.xuf.s1 FR_p_2 = FR_p_2
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p0)  fcvt.xuf.s1 FR_p_4 = FR_p_4
-	nop.i 999 ;;
+      nop.m 999
+      fcvt.xuf.s1 FR_p_3 = FR_p_3
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
+      nop.m 999
+      fcvt.xuf.s1 FR_p_4 = FR_p_4
+      nop.i 999
+}
+;;
+
 //    Tmp_C := fmpy.fpsr3( x, p_1 );
 //    Tmp_B := fmpy.fpsr3( x, p_2 );
 //    Tmp_A := fmpy.fpsr3( x, p_3 );
@@ -1048,55 +1055,62 @@ alloc  r34 = ar.pfs,2,34,0,0
 //      Exact, regardless ...of rounding direction
 //      A_lo := x*p_3 - A_hi ...fma, exact
 //    Endif
-(p0)  fmpy.s3 FR_Tmp_C = FR_X,FR_p_1
-	nop.i 999 ;;
-}
 { .mfi
-	nop.m 999
-(p0)  fmpy.s1 FR_p_2 = FR_p_2,FR_ScaleP2
-	nop.i 999
-}
-{ .mlx
-	nop.m 999
-(p0)  movl GR_Temp = 0x0000000000000400
+      nop.m 999
+      fmpy.s3 FR_Tmp_C = FR_X,FR_p_1
+      nop.i 999
 }
-{ .mlx
-	nop.m 999
-(p0)  movl GR_TEMP3 = 0x000000000000FF3F ;;
+;;
+
+{ .mfi
+      mov GR_TEMP3 = 0x0FF3F
+      fmpy.s1 FR_p_2 = FR_p_2,FR_ScaleP2
+      nop.i 999
 }
+;;
+
 { .mmf
-	nop.m 999
-(p0)  setf.exp FR_ScaleP4 = GR_TEMP3
-(p0)  fmpy.s1 FR_p_3 = FR_p_3,FR_ScaleP3 ;;
+      setf.exp FR_ScaleP4 = GR_TEMP3
+      mov GR_TEMP4 = 0x10045
+      fmpy.s1 FR_p_3 = FR_p_3,FR_ScaleP3
 }
-{ .mlx
-	nop.m 999
-(p0)  movl GR_TEMP4 = 0x0000000000010045 ;;
+;;
+
+{ .mfi
+      nop.m 999
+      fadd.s3 FR_C_hi = FR_sigma_C,FR_Tmp_C   // For Tmp_C < sigma_C case
+      nop.i 999
 }
+;;
+
 { .mmf
-	nop.m 999
-(p0)  setf.exp FR_Tmp2_C = GR_TEMP4
-(p0)  fmpy.s3 FR_Tmp_B = FR_X,FR_p_2 ;;
+      setf.exp FR_Tmp2_C = GR_TEMP4
+      nop.m 999
+      fmpy.s3 FR_Tmp_B = FR_X,FR_p_2
 }
+;;
+
 { .mfi
-	nop.m 999
-(p0)  fcmp.ge.unc.s1 p12,  p9 = FR_Tmp_C,FR_sigma_C
-	nop.i 999 ;;
+      addl           GR_BASE   = @ltoff(Constants_Bits_of_pi_by_2#), gp
+      fcmp.ge.s1 p12,  p9 = FR_Tmp_C,FR_sigma_C
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-(p0)  fmpy.s3 FR_Tmp_A = FR_X,FR_p_3
-	nop.i 999 ;;
+      nop.m 999
+      fmpy.s3 FR_Tmp_A = FR_X,FR_p_3
+      nop.i 99
 }
+;;
+
 { .mfi
-	nop.m 999
+      ld8 GR_BASE = [GR_BASE]
 (p12) mov FR_C_hi = FR_Tmp_C
-	nop.i 999 ;;
+      nop.i 999
 }
 { .mfi
-(p0)  addl           GR_BASE   = @ltoff(Constants_Bits_of_pi_by_2#), gp
-(p9)  fadd.s3 FR_C_hi = FR_sigma_C,FR_Tmp_C
-	nop.i 999
+      nop.m 999
+(p9)  fsub.s1 FR_C_hi = FR_C_hi,FR_sigma_C
+      nop.i 999
 }
 ;;
 
@@ -1114,97 +1128,106 @@ alloc  r34 = ar.pfs,2,34,0,0
 //      Load from table
 //   End If
 
-
-{ .mmi
-      ld8 GR_BASE = [GR_BASE]
+{ .mfi
       nop.m 999
+      fmpy.s1 FR_p_4 = FR_p_4,FR_ScaleP4
       nop.i 999
 }
-;;
-
-
 { .mfi
-(p0) ldfe FR_D_hi = [GR_BASE],16
-(p0)  fmpy.s1 FR_p_4 = FR_p_4,FR_ScaleP4
-	nop.i 999 ;;
+      nop.m 999
+      fadd.s3 FR_B_hi = FR_sigma_B,FR_Tmp_B     // For Tmp_B < sigma_B case
+      nop.i 999
 }
+;;
+
 { .mfi
-(p0) ldfe FR_D_lo = [GR_BASE],0
-(p0)  fcmp.ge.unc.s1 p13, p10 = FR_Tmp_B,FR_sigma_B
-	nop.i 999 ;;
+      nop.m 999
+      fadd.s3 FR_A_hi = FR_sigma_A,FR_Tmp_A     // For Tmp_A < sigma_A case
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p13) mov FR_B_hi = FR_Tmp_B
-	nop.i 999
+      nop.m 999
+      fcmp.ge.s1 p13, p10 = FR_Tmp_B,FR_sigma_B
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-(p12) fms.s1 FR_C_lo = FR_X,FR_p_1,FR_C_hi
-	nop.i 999 ;;
+      nop.m 999
+      fms.s1 FR_C_lo = FR_X,FR_p_1,FR_C_hi
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p10) fadd.s3 FR_B_hi = FR_sigma_B,FR_Tmp_B
-	nop.i 999
+      ldfe FR_D_hi = [GR_BASE],16
+      fcmp.ge.s1 p14, p11 = FR_Tmp_A,FR_sigma_A
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p9)  fsub.s1 FR_C_hi = FR_C_hi,FR_sigma_C
-	nop.i 999 ;;
+      ldfe FR_D_lo = [GR_BASE]
+(p13) mov FR_B_hi = FR_Tmp_B
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-(p0)  fcmp.ge.unc.s1 p14, p11 = FR_Tmp_A,FR_sigma_A
-	nop.i 999 ;;
+      nop.m 999
+(p10) fsub.s1 FR_B_hi = FR_B_hi,FR_sigma_B
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
+      nop.m 999
 (p14) mov FR_A_hi = FR_Tmp_A
-	nop.i 999 ;;
-}
-{ .mfi
-	nop.m 999
-(p11) fadd.s3 FR_A_hi = FR_sigma_A,FR_Tmp_A
-	nop.i 999 ;;
-}
-{ .mfi
-	nop.m 999
-(p9)  fms.s1 FR_C_lo = FR_X,FR_p_1,FR_C_hi
-(p0)  cmp.eq.unc p12,p9 = 0x1,GR_sgn_x
-}
-{ .mfi
-	nop.m 999
-(p13) fms.s1 FR_B_lo = FR_X,FR_p_2,FR_B_hi
-	nop.i 999 ;;
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-(p10) fsub.s1 FR_B_hi = FR_B_hi,FR_sigma_B
-	nop.i 999
+      nop.m 999
+(p11) fsub.s1 FR_A_hi = FR_A_hi,FR_sigma_A
+      nop.i 999
 }
-{ .mfi
-	nop.m 999
+;;
+
 //    Note that C_hi is of integer value. We need only the
 //    last few bits. Thus we can ensure C_hi is never a big
 //    integer, freeing us from overflow worry.
 //    Tmp_C := fadd.fpsr3( C_hi, 2^(70) ) - 2^(70);
 //    Tmp_C is the upper portion of C_hi
-(p0)  fadd.s3 FR_Tmp_C = FR_C_hi,FR_Tmp2_C
-	nop.i 999 ;;
+{ .mfi
+      nop.m 999
+      fadd.s3 FR_Tmp_C = FR_C_hi,FR_Tmp2_C
+      tbit.z p12,p9 = GR_Exp_x, 17
 }
+;;
+
 { .mfi
-	nop.m 999
-(p14) fms.s1 FR_A_lo = FR_X,FR_p_3,FR_A_hi
-	nop.i 999
+      nop.m 999
+      fms.s1 FR_B_lo = FR_X,FR_p_2,FR_B_hi
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-(p11) fsub.s1 FR_A_hi = FR_A_hi,FR_sigma_A
-	nop.i 999 ;;
+      nop.m 999
+      fadd.s3 FR_A = FR_B_hi,FR_C_lo
+      nop.i 999
 }
+;;
+
+{ .mfi
+      nop.m 999
+      fms.s1 FR_A_lo = FR_X,FR_p_3,FR_A_hi
+      nop.i 999
+}
+;;
+
 { .mfi
-	nop.m 999
+      nop.m 999
+      fsub.s1 FR_Tmp_C = FR_Tmp_C,FR_Tmp2_C
+      nop.i 999
+}
+;;
+
 //    *******************
 //    Step 2. Get N and f
 //    *******************
@@ -1215,168 +1238,213 @@ alloc  r34 = ar.pfs,2,34,0,0
 //    A := fadd.fpsr3( B_hi, C_lo )
 //    B := max( B_hi, C_lo )
 //    b := min( B_hi, C_lo )
-(p0)  fadd.s3 FR_A = FR_B_hi,FR_C_lo
-	nop.i 999
-}
 { .mfi
-	nop.m 999
-(p10) fms.s1 FR_B_lo = FR_X,FR_p_2,FR_B_hi
-	nop.i 999 ;;
+      nop.m 999
+      fmax.s1 FR_B = FR_B_hi,FR_C_lo
+      nop.i 999
 }
+;;
+
+// We use a right-shift trick to get the integer part of A into the rightmost
+// bits of the significand by adding 1.1000..00 * 2^63.  This operation is good
+// if |A| < 2^61, which it is in this case.  We are doing this to save a few
+// cycles over using fcvt.fx followed by fnorm.  The second step of the trick
+// is to subtract the same constant to float the rounded integer into a fp reg.
+
 { .mfi
-	nop.m 999
-(p0)  fsub.s1 FR_Tmp_C = FR_Tmp_C,FR_Tmp2_C
-	nop.i 999 ;;
+      nop.m 999
+//    N := round_to_nearest_integer_value( A );
+      fma.s1 FR_N_fix = FR_A, f1, FR_RSHF
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p0)  fmax.s1 FR_B = FR_B_hi,FR_C_lo
-	nop.i 999 ;;
+      nop.m 999
+      fmin.s1 FR_b = FR_B_hi,FR_C_lo
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-(p0)  fmin.s1 FR_b = FR_B_hi,FR_C_lo
-	nop.i 999
+      nop.m 999
+//    C_hi := C_hi - Tmp_C ...0 <= C_hi < 2^7
+      fsub.s1 FR_C_hi = FR_C_hi,FR_Tmp_C
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p11) fms.s1 FR_A_lo = FR_X,FR_p_3,FR_A_hi
-	nop.i 999 ;;
+      nop.m 999
+//    a := (B - A) + b: Exact - note that a is either 0 or 2^(-64).
+      fsub.s1 FR_a = FR_B,FR_A
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-//    N := round_to_nearest_integer_value( A );
-(p0)  fcvt.fx.s1 FR_N = FR_A
-	nop.i 999 ;;
+      nop.m 999
+      fms.s1 FR_N = FR_N_fix, f1, FR_RSHF
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-//    C_hi := C_hi - Tmp_C ...0 <= C_hi < 2^7
-(p0)  fsub.s1 FR_C_hi = FR_C_hi,FR_Tmp_C
-	nop.i 999 ;;
+      nop.m 999
+      fadd.s1 FR_a = FR_a,FR_b
+      nop.i 999
 }
+;;
+
+//    f := A - N; Exact because lsb(A) >= 2^(-64) and |f| <= 1/2.
+//    N := convert to integer format( C_hi + N );
+//    M := P_0 * x_lo;
+//    N := N + M;
 { .mfi
-	nop.m 999
-//    a := (B - A) + b: Exact - note that a is either 0 or 2^(-64).
-(p0)  fsub.s1 FR_a = FR_B,FR_A
-	nop.i 999 ;;
+      nop.m 999
+      fsub.s1 FR_f = FR_A,FR_N
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-//    f := A - N; Exact because lsb(A) >= 2^(-64) and |f| <= 1/2.
-(p0)  fnorm.s1 FR_N = FR_N
-	nop.i 999
+      nop.m 999
+      fadd.s1 FR_N = FR_N,FR_C_hi
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p0)  fadd.s1 FR_a = FR_a,FR_b
-	nop.i 999 ;;
+      nop.m 999
+(p9)  fsub.s1 FR_D_hi = f0, FR_D_hi
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-(p0)  fsub.s1 FR_f = FR_A,FR_N
-	nop.i 999
+      nop.m 999
+(p9)  fsub.s1 FR_D_lo = f0, FR_D_lo
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-//    N := convert to integer format( C_hi + N );
-//    M := P_0 * x_lo;
-//    N := N + M;
-(p0)  fadd.s1 FR_N = FR_N,FR_C_hi
-	nop.i 999 ;;
+      nop.m 999
+      fadd.s1 FR_g = FR_A_hi,FR_B_lo          // For Case 1, g=A_hi+B_lo
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-//    f = f + a	Exact because a is 0 or 2^(-64);
-//    the msb of the sum is <= 1/2 and lsb >= 2^(-64).
-(p0)  fadd.s1 FR_f = FR_f,FR_a
-	nop.i 999
+      nop.m 999
+      fadd.s3 FR_A = FR_A_hi,FR_B_lo          // For Case 2, A=A_hi+B_lo w/ sf3
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-//
-//    Create 2**(-33)
-//
-(p0)  fcvt.fx.s1 FR_N = FR_N
-	nop.i 999 ;;
+      mov GR_Temp = 0x0FFCD                   // For Case 2, exponent of 2^-50
+      fmax.s1 FR_B = FR_A_hi,FR_B_lo          // For Case 2, B=max(A_hi,B_lo)
+      nop.i 999
 }
+;;
+
+//    f = f + a      Exact because a is 0 or 2^(-64);
+//    the msb of the sum is <= 1/2 and lsb >= 2^(-64).
 { .mfi
-	nop.m 999
-(p0)  fabs FR_f_abs = FR_f
-	nop.i 999 ;;
+      setf.exp FR_TWOM50 = GR_Temp            // For Case 2, form 2^-50
+      fcvt.fx.s1 FR_N = FR_N
+      nop.i 999
 }
 { .mfi
-(p0)  getf.sig GR_N = FR_N
-	nop.f 999
-	nop.i 999 ;;
+      nop.m 999
+      fadd.s1 FR_f = FR_f,FR_a
+      nop.i 999
 }
-{ .mii
-	nop.m 999
-	nop.i 999 ;;
-(p0)  add GR_N = GR_N,GR_M ;;
+;;
+
+{ .mfi
+      nop.m 999
+      fmin.s1 FR_b = FR_A_hi,FR_B_lo          // For Case 2, b=min(A_hi,B_lo)
+      nop.i 999
 }
-//    If sgn_x == 1 (that is original x was negative)
-//       N := 2^10 - N
-//       this maintains N to be non-negative, but still
-//       equivalent to the (negated N) mod 4.
-//    End If
-{ .mii
-(p12) sub GR_N = GR_Temp,GR_N
-(p0) cmp.eq.unc p12,p9 = 0x0,GR_sgn_x ;;
-	nop.i 999
+;;
+
+{ .mfi
+      nop.m 999
+      fsub.s1 FR_a = FR_B,FR_A                // For Case 2, a=B-A
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p0)  fcmp.ge.unc.s1 p13, p10 = FR_f_abs,FR_TWOM33
-	nop.i 999 ;;
+      nop.m 999
+      fadd.s1 FR_s_hi = FR_f,FR_g             // For Case 1, s_hi=f+g
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-(p9) fsub.s1 FR_D_hi = f0, FR_D_hi
-	nop.i 999 ;;
+      nop.m 999
+      fadd.s1 FR_f_hi = FR_A,FR_f             // For Case 2, f_hi=A+f
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p10)    fadd.s3 FR_A = FR_A_hi,FR_B_lo
-	nop.i 999
+      nop.m 999
+      fabs FR_f_abs = FR_f
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p13)    fadd.s1 FR_g = FR_A_hi,FR_B_lo
-	nop.i 999 ;;
+      getf.sig GR_N = FR_N
+      fsetc.s3 0x7F,0x40                 // Reset sf3 to user settings + td
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p10)    fmax.s1 FR_B = FR_A_hi,FR_B_lo
-	nop.i 999
+      nop.m 999
+      fsub.s1 FR_s_lo = FR_f,FR_s_hi          // For Case 1, s_lo=f-s_hi
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-(p9) fsub.s1 FR_D_lo = f0, FR_D_lo
-	nop.i 999 ;;
+      nop.m 999
+      fsub.s1 FR_f_lo = FR_f,FR_f_hi          // For Case 2, f_lo=f-f_hi
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p10)    fmin.s1 FR_b = FR_A_hi,FR_B_lo
-	nop.i 999 ;;
+      nop.m 999
+      fmpy.s1 FR_r_hi = FR_s_hi,FR_D_hi       // For Case 1, r_hi=s_hi*D_hi
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-(p0) fsetc.s3 0x7F,0x40
-	nop.i 999
+      nop.m 999
+      fadd.s1 FR_a = FR_a,FR_b                // For Case 2, a=a+b
+      nop.i 999
 }
-{ .mlx
-	nop.m 999
-(p10)    movl GR_Temp = 0x000000000000FFCD ;;
+;;
+
+
+//    If sgn_x == 1 (that is original x was negative)
+//       N := 2^10 - N
+//       this maintains N to be non-negative, but still
+//       equivalent to the (negated N) mod 4.
+//    End If
+{ .mfi
+      add GR_N = GR_N,GR_M
+      fcmp.ge.s1 p13, p10 = FR_f_abs,FR_TWOM33
+      mov GR_Temp = 0x00400
 }
-{ .mmf
-	nop.m 999
-(p10)    setf.exp FR_TWOM50 = GR_Temp
-(p10)    fadd.s1 FR_f_hi = FR_A,FR_f ;;
+;;
+
+{ .mfi
+(p9)  sub GR_N = GR_Temp,GR_N
+      fadd.s1 FR_s_lo = FR_s_lo,FR_g           // For Case 1, s_lo=s_lo+g
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-//       a := (B - A) + b	Exact.
+      nop.m 999
+      fadd.s1 FR_f_lo = FR_f_lo,FR_A           // For Case 2, f_lo=f_lo+A
+      nop.i 999
+}
+;;
+
+//       a := (B - A) + b      Exact.
 //       Note that a is either 0 or 2^(-128).
 //       f_hi := A + f;
 //       f_lo := (f - f_hi) + A
@@ -1387,68 +1455,32 @@ alloc  r34 = ar.pfs,2,34,0,0
 //       exact. If f = -2^(-64), then A + f is exact. Hence
 //       f-f_hi is -A exactly, giving f_lo = 0.
 //       f_lo := f_lo + a;
-(p10)    fsub.s1 FR_a = FR_B,FR_A
-	nop.i 999
-}
-{ .mfi
-	nop.m 999
-(p13)    fadd.s1 FR_s_hi = FR_f,FR_g
-	nop.i 999 ;;
-}
-{ .mlx
-	nop.m 999
+
 //    If |f| >= 2^(-33)
 //       Case 1
 //       CASE := 1
 //       g := A_hi + B_lo;
 //       s_hi := f + g;
 //       s_lo := (f - s_hi) + g;
-(p13)    movl GR_CASE = 0x1 ;;
-}
-{ .mlx
-	nop.m 999
 //   Else
 //       Case 2
 //       CASE := 2
 //       A := fadd.fpsr3( A_hi, B_lo )
 //       B := max( A_hi, B_lo )
 //       b := min( A_hi, B_lo )
-(p10)    movl GR_CASE = 0x2
-}
-{ .mfi
-	nop.m 999
-(p10)    fsub.s1 FR_f_lo = FR_f,FR_f_hi
-	nop.i 999 ;;
-}
-{ .mfi
-	nop.m 999
-(p10)    fadd.s1 FR_a = FR_a,FR_b
-	nop.i 999
-}
-{ .mfi
-	nop.m 999
-(p13)    fsub.s1 FR_s_lo = FR_f,FR_s_hi
-	nop.i 999 ;;
-}
-{ .mfi
-	nop.m 999
-(p13)    fadd.s1 FR_s_lo = FR_s_lo,FR_g
-	nop.i 999 ;;
-}
+
 { .mfi
-	nop.m 999
-(p10)    fcmp.ge.unc.s1 p14, p11 = FR_f_abs,FR_TWOM50
-	nop.i 999 ;;
+      nop.m 999
+(p10) fcmp.ge.unc.s1 p14, p11 = FR_f_abs,FR_TWOM50
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-//
-//       Create 2**(-50)
-(p10)    fadd.s1 FR_f_lo = FR_f_lo,FR_A
-	nop.i 999 ;;
+      nop.m 999
+(p13) fms.s1 FR_r_lo = FR_s_hi,FR_D_hi,FR_r_hi //For Case 1, r_lo=s_hi*D_hi+r_hi
+      nop.i 999
 }
-{ .mfi
-	nop.m 999
+;;
+
 //       If |f| >= 2^(-50) then
 //          s_hi := f_hi;
 //          s_lo := f_lo;
@@ -1457,84 +1489,90 @@ alloc  r34 = ar.pfs,2,34,0,0
 //          s_hi := f_hi + f_lo
 //          s_lo := (f_hi - s_hi) + f_lo
 //       End If
-(p14)  mov FR_s_hi = FR_f_hi
-	nop.i 999 ;;
+{ .mfi
+      nop.m 999
+(p14) mov FR_s_hi = FR_f_hi
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-(p10)    fadd.s1 FR_f_lo = FR_f_lo,FR_a
-	nop.i 999 ;;
+      nop.m 999
+(p10) fadd.s1 FR_f_lo = FR_f_lo,FR_a
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p14)  mov FR_s_lo = FR_f_lo
-	nop.i 999
+      nop.m 999
+(p14) mov FR_s_lo = FR_f_lo
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-(p11)  fadd.s1 FR_f_lo = FR_f_lo,FR_A_lo
-	nop.i 999 ;;
+      nop.m 999
+(p11) fadd.s1 FR_f_lo = FR_f_lo,FR_A_lo
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p11)  fma.s1 FR_f_lo = FR_X,FR_p_4,FR_f_lo
-	nop.i 999 ;;
+      nop.m 999
+(p11) fma.s1 FR_f_lo = FR_X,FR_p_4,FR_f_lo
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p11)  fadd.s1 FR_s_hi = FR_f_hi,FR_f_lo
-	nop.i 999 ;;
+      nop.m 999
+(p13) fma.s1 FR_r_lo = FR_s_hi,FR_D_lo,FR_r_lo //For Case 1, r_lo=s_hi*D_lo+r_lo
+      nop.i 999
 }
 { .mfi
-	nop.m 999
+      nop.m 999
+(p11) fadd.s1 FR_s_hi = FR_f_hi,FR_f_lo
+      nop.i 999
+}
+;;
+
 //   r_hi :=  s_hi*D_hi
 //   r_lo :=  s_hi*D_hi - r_hi  with fma
 //   r_lo := (s_hi*D_lo + r_lo) + s_lo*D_hi
-(p0) fmpy.s1 FR_r_hi = FR_s_hi,FR_D_hi
-	nop.i 999
-}
 { .mfi
-	nop.m 999
-(p11)  fsub.s1 FR_s_lo = FR_f_hi,FR_s_hi
-	nop.i 999 ;;
+      nop.m 999
+(p10) fmpy.s1 FR_r_hi = FR_s_hi,FR_D_hi
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-(p0) fms.s1 FR_r_lo = FR_s_hi,FR_D_hi,FR_r_hi
-	nop.i 999
+      nop.m 999
+(p11) fsub.s1 FR_s_lo = FR_f_hi,FR_s_hi
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p11)  fadd.s1 FR_s_lo = FR_s_lo,FR_f_lo
-	nop.i 999 ;;
-}
-{ .mmi
-	nop.m 999 ;;
-//   Return  N, r_hi, r_lo
-//   We do not return CASE
-(p0) stfe [GR_Address_of_Outputs] = FR_r_hi,16
-	nop.i 999 ;;
+      nop.m 999
+(p10) fms.s1 FR_r_lo = FR_s_hi,FR_D_hi,FR_r_hi
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-(p0) fma.s1 FR_r_lo = FR_s_hi,FR_D_lo,FR_r_lo
-	nop.i 999 ;;
+      nop.m 999
+(p11) fadd.s1 FR_s_lo = FR_s_lo,FR_f_lo
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p0) fma.s1 FR_r_lo = FR_s_lo,FR_D_hi,FR_r_lo
-	nop.i 999 ;;
-}
-{ .mmi
-	nop.m 999 ;;
-(p0) stfe [GR_Address_of_Outputs] = FR_r_lo,-16
-	nop.i 999
+      nop.m 999
+(p10) fma.s1 FR_r_lo = FR_s_hi,FR_D_lo,FR_r_lo
+      nop.i 999
 }
-{ .mib
-	nop.m 999
-	nop.i 999
-(p0) br.ret.sptk   b0 ;;
+;;
+
+//   Return  N, r_hi, r_lo
+//   We do not return CASE
+{ .mfb
+      nop.m 999
+      fma.s1 FR_r_lo = FR_s_lo,FR_D_hi,FR_r_lo
+      br.ret.sptk   b0
 }
+;;
 
-.endp __libm_pi_by_2_reduce
-ASM_SIZE_DIRECTIVE(__libm_pi_by_2_reduce)
+.endp __libm_pi_by_2_reduce#
diff --git a/sysdeps/ia64/fpu/s_scalbnf.S b/sysdeps/ia64/fpu/libm_scalblnf.S
index ff7d1ca637..362e68b641 100644
--- a/sysdeps/ia64/fpu/s_scalbnf.S
+++ b/sysdeps/ia64/fpu/libm_scalblnf.S
@@ -1,10 +1,10 @@
-//.file "scalbnf.s"
+.file "libm_scalblnf.s"
 
-// Copyright (C) 2000, 2001, Intel Corporation
+
+// Copyright (c) 2001 - 2003, Intel Corporation
 // All rights reserved.
-// 
-// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story,
-// and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation.
+//
+// Contributed 2001 by the Intel Numerics Group, Intel Corporation
 //
 // Redistribution and use in source and binary forms, with or without
 // modification, are permitted provided that the following conditions are
@@ -20,7 +20,7 @@
 // * The name of Intel Corporation may not be used to endorse or promote
 // products derived from this software without specific prior written
 // permission.
-//
+
 // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
 // "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
@@ -35,26 +35,30 @@
 // 
 // Intel Corporation is the author of this code, and requests that all
 // problem reports or change requests be submitted to it directly at 
-// http://developer.intel.com/opensource.
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
 //
 // History
 //==============================================================
-// 2/02/00  Initial version
-// 1/26/01  scalbnf completely reworked and now standalone version 
+// 08/03/01 Initial version
+// 08/23/01 Corrected error tag number
+// 02/06/02 Corrected to handle 32- or 64-bit integers
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 02/10/03 Reordered header: .section, .global, .proc, .align
 //
 // API
 //==============================================================
-// float = scalbnf  (float x, int n) 
-// input  floating point f8 and int n (r33) 
+// float = __libm_scalblnf  (float x, long int n, int long_int_type) 
+// input  floating point f8 and long int n (r33) 
+// input  long_int_type = 0 if long int defined as 32 bits, = 1 if 64 bits
+// 
 // output floating point f8
 //
+
 // Returns x* 2**n using an fma and detects overflow
 // and underflow.   
 //
 //
 
-#include "libm_support.h"
-
 FR_Big         = f6
 FR_NBig        = f7
 FR_Floating_X  = f8
@@ -81,34 +85,36 @@ GR_Parameter_Y      = r36
 GR_Parameter_RESULT = r37
 GR_Tag              = r38
 
-.align 32
-.global scalbnf
-
 .section .text
-.proc  scalbnf
-.align 32
-
-scalbnf: 
+GLOBAL_LIBM_ENTRY(__libm_scalblnf)
 
 //
 //   Is x NAN, INF, ZERO, +-?
 //   Build the exponent Bias
 //
 {    .mfi
-     alloc         r32=ar.pfs,1,2,4,0
+     alloc         r32=ar.pfs,3,0,4,0
      fclass.m.unc  p7,p0 = FR_Floating_X, 0xe7 //@snan | @qnan | @inf | @zero
      addl          GR_Bias = 0x0FFFF,r0
 }
 
+
 //
-//   Sign extend input
 //   Is N zero?
 //   Normalize x
+//   Do we need to sign extend input (long_int_type = 0)?
 //
 {    .mfi
      cmp.eq.unc    p6,p0 = r33,r0  
      fnorm.s1      FR_Norm_X  =   FR_Floating_X 
-     sxt4          GR_N_as_int = r33
+     cmp.eq.unc    p8,p9 = r34,r0  
+}
+;;
+
+{    .mii
+(p9) mov           GR_N_as_int = r33       // Get n directly if long int 64 bits
+(p8) sxt4          GR_N_as_int = r33       // Sign extend n if long int 32 bits
+     nop.i         0
 }
 ;;
 
@@ -173,7 +179,7 @@ scalbnf:
 }
 { .mlx
      nop.m 999
-(p0) movl          GR_Scratch = 0x000000000003007F 
+     movl          GR_Scratch = 0x000000000003007F 
 };;
 
 
@@ -184,7 +190,7 @@ scalbnf:
 }
 {    .mlx
      nop.m 999
-(p0) movl          GR_Scratch1= 0x000000000001007F 
+     movl          GR_Scratch1= 0x000000000001007F 
 };;
 
 //   Set up necessary status fields 
@@ -195,12 +201,12 @@ scalbnf:
 //
 {    .mfi
      nop.m 999
-(p0) fsetc.s3      0x7F,0x41
+     fsetc.s3      0x7F,0x41
      nop.i 999
 }
 {    .mfi
      nop.m 999
-(p0) fsetc.s2      0x7F,0x42
+     fsetc.s2      0x7F,0x42
      nop.i 999
 };;
 
@@ -247,7 +253,7 @@ scalbnf:
      nop.i 999 
 } 
 {    .mfi
-     addl          GR_Tag = 178, r0
+     addl          GR_Tag = 205, r0
      fcmp.ge.unc.s1 p7, p8 = FR_Result2 , FR_Big
      nop.i 0
 };;
@@ -266,9 +272,9 @@ scalbnf:
 //   Branch out for underflow
 //
 {    .mfb
-(p6) addl           GR_Tag = 179, r0
+(p6) addl           GR_Tag = 206, r0
 (p8) fcmp.le.unc.s1 p9, p10 = FR_Result2 , FR_NBig
-(p6) br.cond.spnt   L(scalbnf_UNDERFLOW) 
+(p6) br.cond.spnt   scalbnf_UNDERFLOW 
 };;
 
 //
@@ -276,8 +282,8 @@ scalbnf:
 //
 { .mbb
      nop.m 0
-(p7) br.cond.spnt   L(scalbnf_OVERFLOW) 
-(p9) br.cond.spnt   L(scalbnf_OVERFLOW) 
+(p7) br.cond.spnt   scalbnf_OVERFLOW 
+(p9) br.cond.spnt   scalbnf_OVERFLOW 
 };;
 
 //
@@ -289,13 +295,11 @@ scalbnf:
      br.ret.sptk     b0;;                   
 }
 
-.endp scalbnf
-ASM_SIZE_DIRECTIVE(scalbnf)
-.proc __libm_error_region
+GLOBAL_LIBM_END(__libm_scalblnf)
 __libm_error_region:
 
-L(scalbnf_OVERFLOW): 
-L(scalbnf_UNDERFLOW): 
+scalbnf_OVERFLOW: 
+scalbnf_UNDERFLOW: 
 
 //
 // Get stack address of N
@@ -372,8 +376,7 @@ L(scalbnf_UNDERFLOW):
    br.ret.sptk     b0                  
 };;
 
-.endp __libm_error_region
-ASM_SIZE_DIRECTIVE(__libm_error_region)
+LOCAL_LIBM_END(__libm_error_region)
 
 .type   __libm_error_support#,@function
 .global __libm_error_support#
diff --git a/sysdeps/ia64/fpu/libm_sincos.S b/sysdeps/ia64/fpu/libm_sincos.S
new file mode 100644
index 0000000000..a3f4c72743
--- /dev/null
+++ b/sysdeps/ia64/fpu/libm_sincos.S
@@ -0,0 +1,782 @@
+.file "libm_sincos.s"
+
+
+// Copyright (c) 2002 - 2003, Intel Corporation
+// All rights reserved.
+//
+// Contributed 2002 by the Intel Numerics Group, Intel Corporation
+//
+// Redistribution and use in source and binary forms, with or without
+// modification, are permitted provided that the following conditions are
+// met:
+//
+// * Redistributions of source code must retain the above copyright
+// notice, this list of conditions and the following disclaimer.
+//
+// * Redistributions in binary form must reproduce the above copyright
+// notice, this list of conditions and the following disclaimer in the
+// documentation and/or other materials provided with the distribution.
+//
+// * The name of Intel Corporation may not be used to endorse or promote
+// products derived from this software without specific prior written
+// permission.
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
+// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
+// OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+//
+// Intel Corporation is the author of this code, and requests that all
+// problem reports or change requests be submitted to it directly at
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
+//
+// History
+//==============================================================
+// 02/01/02 Initial version
+// 02/18/02 Large arguments processing routine is excluded.
+//          External interface entry points are added
+// 03/13/02 Corrected restore of predicate registers
+// 03/19/02 Added stack unwind around call to __libm_cis_large
+// 09/05/02 Work range is widened by reduction strengthen (3 parts of Pi/16)
+// 02/10/03 Reordered header: .section, .global, .proc, .align
+// 
+// API
+//==============================================================
+// 1) double _Complex cis(double)
+// 2) void sincos(double, double*s, double*c)
+// 3) __libm_sincos - internal LIBM function, that accepts
+//    argument in f8 and returns cosine through f8, sine through f9
+//
+// Overview of operation
+//==============================================================
+//
+// Step 1
+// ======
+// Reduce x to region -1/2*pi/2^k ===== 0 ===== +1/2*pi/2^k  where k=4
+//    divide x by pi/2^k.
+//    Multiply by 2^k/pi.
+//    nfloat = Round result to integer (round-to-nearest)
+//
+// r = x -  nfloat * pi/2^k
+//    Do this as ((((x -  nfloat * HIGH(pi/2^k))) - 
+//                        nfloat * LOW(pi/2^k)) - 
+//                        nfloat * LOWEST(pi/2^k) for increased accuracy.
+//    pi/2^k is stored as two numbers that when added make pi/2^k.
+//       pi/2^k = HIGH(pi/2^k) + LOW(pi/2^k)
+//    HIGH and LOW parts are rounded to zero values, 
+//    and LOWEST is rounded to nearest one.
+//
+// x = (nfloat * pi/2^k) + r
+//    r is small enough that we can use a polynomial approximation
+//    and is referred to as the reduced argument.
+//
+// Step 3
+// ======
+// Take the unreduced part and remove the multiples of 2pi.
+// So nfloat = nfloat (with lower k+1 bits cleared) + lower k+1 bits
+//
+//    nfloat (with lower k+1 bits cleared) is a multiple of 2^(k+1)
+//    N * 2^(k+1)
+//    nfloat * pi/2^k = N * 2^(k+1) * pi/2^k + (lower k+1 bits) * pi/2^k
+//    nfloat * pi/2^k = N * 2 * pi + (lower k+1 bits) * pi/2^k
+//    nfloat * pi/2^k = N2pi + M * pi/2^k
+//
+//
+// Sin(x) = Sin((nfloat * pi/2^k) + r)
+//        = Sin(nfloat * pi/2^k) * Cos(r) + Cos(nfloat * pi/2^k) * Sin(r)
+//
+//          Sin(nfloat * pi/2^k) = Sin(N2pi + Mpi/2^k)
+//                               = Sin(N2pi)Cos(Mpi/2^k) + Cos(N2pi)Sin(Mpi/2^k)
+//                               = Sin(Mpi/2^k)
+//
+//          Cos(nfloat * pi/2^k) = Cos(N2pi + Mpi/2^k)
+//                               = Cos(N2pi)Cos(Mpi/2^k) + Sin(N2pi)Sin(Mpi/2^k)
+//                               = Cos(Mpi/2^k)
+//
+// Sin(x) = Sin(Mpi/2^k) Cos(r) + Cos(Mpi/2^k) Sin(r)
+//
+//
+// Step 4
+// ======
+// 0 <= M < 2^(k+1)
+// There are 2^(k+1) Sin entries in a table.
+// There are 2^(k+1) Cos entries in a table.
+//
+// Get Sin(Mpi/2^k) and Cos(Mpi/2^k) by table lookup.
+//
+//
+// Step 5
+// ======
+// Calculate Cos(r) and Sin(r) by polynomial approximation.
+//
+// Cos(r) = 1 + r^2 q1  + r^4 q2 + r^6 q3 + ... = Series for Cos
+// Sin(r) = r + r^3 p1  + r^5 p2 + r^7 p3 + ... = Series for Sin
+//
+// and the coefficients q1, q2, ... and p1, p2, ... are stored in a table
+//
+//
+// Calculate
+// Sin(x) = Sin(Mpi/2^k) Cos(r) + Cos(Mpi/2^k) Sin(r)
+//
+// as follows
+//
+//    S[m] = Sin(Mpi/2^k) and C[m] = Cos(Mpi/2^k)
+//    rsq = r*r
+//
+//
+//    P = p1 + r^2p2 + r^4p3 + r^6p4
+//    Q = q1 + r^2q2 + r^4q3 + r^6q4
+//
+//       rcub = r * rsq
+//       Sin(r) = r + rcub * P
+//              = r + r^3p1  + r^5p2 + r^7p3 + r^9p4 + ... = Sin(r)
+//
+//            The coefficients are not exactly these values, but almost.
+//
+//            p1 = -1/6  = -1/3!
+//            p2 = 1/120 =  1/5!
+//            p3 = -1/5040 = -1/7!
+//            p4 = 1/362889 = 1/9!
+//
+//       P =  r + rcub * P
+//
+//    Answer = S[m] Cos(r) + C[m] P
+//
+//       Cos(r) = 1 + rsq Q
+//       Cos(r) = 1 + r^2 Q
+//       Cos(r) = 1 + r^2 (q1 + r^2q2 + r^4q3 + r^6q4)
+//       Cos(r) = 1 + r^2q1 + r^4q2 + r^6q3 + r^8q4 + ...
+//
+//       S[m] Cos(r) = S[m](1 + rsq Q)
+//       S[m] Cos(r) = S[m] + S[m] rsq Q
+//       S[m] Cos(r) = S[m] + s_rsq Q
+//       Q           = S[m] + s_rsq Q
+//
+// Then,
+//
+//    Answer = Q + C[m] P
+
+// Registers used
+//==============================================================
+// general input registers:
+// r14 -> r19
+// r32 -> r49
+
+// predicate registers used:
+// p6 -> p14
+
+// floating-point registers used
+// f9 -> f15
+// f32 -> f100
+
+// Assembly macros
+//==============================================================
+
+cis_Arg                     = f8
+
+cis_Sin_res                 = f9
+cis_Cos_res                 = f8
+
+cis_NORM_f8                 = f10
+cis_W                       = f11
+cis_int_Nfloat              = f12
+cis_Nfloat                  = f13
+
+cis_r                       = f14
+cis_rsq                     = f15
+cis_rcub                    = f32
+
+cis_Inv_Pi_by_16            = f33
+cis_Pi_by_16_hi             = f34
+cis_Pi_by_16_lo             = f35
+
+cis_Inv_Pi_by_64            = f36
+cis_Pi_by_16_lowest         = f37
+cis_r_exact                 = f38
+
+
+cis_P1                      = f39
+cis_Q1                      = f40
+cis_P2                      = f41
+cis_Q2                      = f42
+cis_P3                      = f43
+cis_Q3                      = f44
+cis_P4                      = f45
+cis_Q4                      = f46
+
+cis_P_temp1                 = f47
+cis_P_temp2                 = f48
+
+cis_Q_temp1                 = f49
+cis_Q_temp2                 = f50
+
+cis_P                       = f51
+
+cis_SIG_INV_PI_BY_16_2TO61  = f52
+cis_RSHF_2TO61              = f53
+cis_RSHF                    = f54
+cis_2TOM61                  = f55
+cis_NFLOAT                  = f56
+cis_W_2TO61_RSH             = f57
+
+cis_tmp                     = f58
+
+cis_Sm_sin                  = f59
+cis_Cm_sin                  = f60
+
+cis_Sm_cos                  = f61
+cis_Cm_cos                  = f62
+
+cis_srsq_sin                = f63
+cis_srsq_cos                = f64
+
+cis_Q_sin                   = f65
+cis_Q_cos                   = f66
+cis_Q                       = f67
+
+/////////////////////////////////////////////////////////////
+
+cis_pResSin                 = r33
+cis_pResCos                 = r34
+
+cis_exp_limit               = r35
+cis_r_signexp               = r36
+cis_AD_beta_table           = r37
+cis_r_sincos                = r38
+
+cis_r_exp                   = r39
+cis_r_17_ones               = r40
+
+cis_GR_sig_inv_pi_by_16     = r14
+cis_GR_rshf_2to61           = r15
+cis_GR_rshf                 = r16
+cis_GR_exp_2tom61           = r17
+cis_GR_n                    = r18
+
+cis_GR_n_sin                = r19
+cis_GR_m_sin                = r41
+cis_GR_32m_sin              = r41
+
+cis_GR_n_cos                = r42
+cis_GR_m_cos                = r43
+cis_GR_32m_cos              = r43
+
+cis_AD_2_sin                = r44
+cis_AD_2_cos                = r45
+
+cis_gr_tmp                  = r46
+GR_SAVE_B0                  = r47
+GR_SAVE_GP                  = r48
+rB0_SAVED                   = r49
+GR_SAVE_PFS                 = r50
+GR_SAVE_PR                  = r51
+cis_AD_1                    = r52
+
+RODATA
+
+.align 16
+// Pi/16 parts
+LOCAL_OBJECT_START(double_cis_pi)
+   data8 0xC90FDAA22168C234, 0x00003FFC // pi/16 1st part
+   data8 0xC4C6628B80DC1CD1, 0x00003FBC // pi/16 2nd part
+   data8 0xA4093822299F31D0, 0x00003F7A // pi/16 3rd part
+LOCAL_OBJECT_END(double_cis_pi)
+
+// Coefficients for polynomials
+LOCAL_OBJECT_START(double_cis_pq_k4)
+   data8 0x3EC71C963717C63A // P4
+   data8 0x3EF9FFBA8F191AE6 // Q4
+   data8 0xBF2A01A00F4E11A8 // P3
+   data8 0xBF56C16C05AC77BF // Q3
+   data8 0x3F8111111110F167 // P2
+   data8 0x3FA555555554DD45 // Q2
+   data8 0xBFC5555555555555 // P1
+   data8 0xBFDFFFFFFFFFFFFC // Q1
+LOCAL_OBJECT_END(double_cis_pq_k4)
+
+// Sincos table (S[m], C[m])
+LOCAL_OBJECT_START(double_sin_cos_beta_k4)
+data8 0x0000000000000000 , 0x00000000 // sin( 0 pi/16)  S0
+data8 0x8000000000000000 , 0x00003fff // cos( 0 pi/16)  C0
+//
+data8 0xc7c5c1e34d3055b3 , 0x00003ffc // sin( 1 pi/16)  S1
+data8 0xfb14be7fbae58157 , 0x00003ffe // cos( 1 pi/16)  C1
+//
+data8 0xc3ef1535754b168e , 0x00003ffd // sin( 2 pi/16)  S2
+data8 0xec835e79946a3146 , 0x00003ffe // cos( 2 pi/16)  C2
+//
+data8 0x8e39d9cd73464364 , 0x00003ffe // sin( 3 pi/16)  S3
+data8 0xd4db3148750d181a , 0x00003ffe // cos( 3 pi/16)  C3
+//
+data8 0xb504f333f9de6484 , 0x00003ffe // sin( 4 pi/16)  S4
+data8 0xb504f333f9de6484 , 0x00003ffe // cos( 4 pi/16)  C4
+//
+data8 0xd4db3148750d181a , 0x00003ffe // sin( 5 pi/16)  C3
+data8 0x8e39d9cd73464364 , 0x00003ffe // cos( 5 pi/16)  S3
+//
+data8 0xec835e79946a3146 , 0x00003ffe // sin( 6 pi/16)  C2
+data8 0xc3ef1535754b168e , 0x00003ffd // cos( 6 pi/16)  S2
+//
+data8 0xfb14be7fbae58157 , 0x00003ffe // sin( 7 pi/16)  C1
+data8 0xc7c5c1e34d3055b3 , 0x00003ffc // cos( 7 pi/16)  S1
+//
+data8 0x8000000000000000 , 0x00003fff // sin( 8 pi/16)  C0
+data8 0x0000000000000000 , 0x00000000 // cos( 8 pi/16)  S0
+//
+data8 0xfb14be7fbae58157 , 0x00003ffe // sin( 9 pi/16)  C1
+data8 0xc7c5c1e34d3055b3 , 0x0000bffc // cos( 9 pi/16)  -S1
+//
+data8 0xec835e79946a3146 , 0x00003ffe // sin(10 pi/16)  C2
+data8 0xc3ef1535754b168e , 0x0000bffd // cos(10 pi/16)  -S2
+//
+data8 0xd4db3148750d181a , 0x00003ffe // sin(11 pi/16)  C3
+data8 0x8e39d9cd73464364 , 0x0000bffe // cos(11 pi/16)  -S3
+//
+data8 0xb504f333f9de6484 , 0x00003ffe // sin(12 pi/16)  S4
+data8 0xb504f333f9de6484 , 0x0000bffe // cos(12 pi/16)  -S4
+//
+data8 0x8e39d9cd73464364 , 0x00003ffe // sin(13 pi/16) S3
+data8 0xd4db3148750d181a , 0x0000bffe // cos(13 pi/16) -C3
+//
+data8 0xc3ef1535754b168e , 0x00003ffd // sin(14 pi/16) S2
+data8 0xec835e79946a3146 , 0x0000bffe // cos(14 pi/16) -C2
+//
+data8 0xc7c5c1e34d3055b3 , 0x00003ffc // sin(15 pi/16) S1
+data8 0xfb14be7fbae58157 , 0x0000bffe // cos(15 pi/16) -C1
+//
+data8 0x0000000000000000 , 0x00000000 // sin(16 pi/16) S0
+data8 0x8000000000000000 , 0x0000bfff // cos(16 pi/16) -C0
+//
+data8 0xc7c5c1e34d3055b3 , 0x0000bffc // sin(17 pi/16) -S1
+data8 0xfb14be7fbae58157 , 0x0000bffe // cos(17 pi/16) -C1
+//
+data8 0xc3ef1535754b168e , 0x0000bffd // sin(18 pi/16) -S2
+data8 0xec835e79946a3146 , 0x0000bffe // cos(18 pi/16) -C2
+//
+data8 0x8e39d9cd73464364 , 0x0000bffe // sin(19 pi/16) -S3
+data8 0xd4db3148750d181a , 0x0000bffe // cos(19 pi/16) -C3
+//
+data8 0xb504f333f9de6484 , 0x0000bffe // sin(20 pi/16) -S4
+data8 0xb504f333f9de6484 , 0x0000bffe // cos(20 pi/16) -S4
+//
+data8 0xd4db3148750d181a , 0x0000bffe // sin(21 pi/16) -C3
+data8 0x8e39d9cd73464364 , 0x0000bffe // cos(21 pi/16) -S3
+//
+data8 0xec835e79946a3146 , 0x0000bffe // sin(22 pi/16) -C2
+data8 0xc3ef1535754b168e , 0x0000bffd // cos(22 pi/16) -S2
+//
+data8 0xfb14be7fbae58157 , 0x0000bffe // sin(23 pi/16) -C1
+data8 0xc7c5c1e34d3055b3 , 0x0000bffc // cos(23 pi/16) -S1
+//
+data8 0x8000000000000000 , 0x0000bfff // sin(24 pi/16) -C0
+data8 0x0000000000000000 , 0x00000000 // cos(24 pi/16) S0
+//
+data8 0xfb14be7fbae58157 , 0x0000bffe // sin(25 pi/16) -C1
+data8 0xc7c5c1e34d3055b3 , 0x00003ffc // cos(25 pi/16) S1
+//
+data8 0xec835e79946a3146 , 0x0000bffe // sin(26 pi/16) -C2
+data8 0xc3ef1535754b168e , 0x00003ffd // cos(26 pi/16) S2
+//
+data8 0xd4db3148750d181a , 0x0000bffe // sin(27 pi/16) -C3
+data8 0x8e39d9cd73464364 , 0x00003ffe // cos(27 pi/16) S3
+//
+data8 0xb504f333f9de6484 , 0x0000bffe // sin(28 pi/16) -S4
+data8 0xb504f333f9de6484 , 0x00003ffe // cos(28 pi/16) S4
+//
+data8 0x8e39d9cd73464364 , 0x0000bffe // sin(29 pi/16) -S3
+data8 0xd4db3148750d181a , 0x00003ffe // cos(29 pi/16) C3
+//
+data8 0xc3ef1535754b168e , 0x0000bffd // sin(30 pi/16) -S2
+data8 0xec835e79946a3146 , 0x00003ffe // cos(30 pi/16) C2
+//
+data8 0xc7c5c1e34d3055b3 , 0x0000bffc // sin(31 pi/16) -S1
+data8 0xfb14be7fbae58157 , 0x00003ffe // cos(31 pi/16) C1
+//
+data8 0x0000000000000000 , 0x00000000 // sin(32 pi/16) S0
+data8 0x8000000000000000 , 0x00003fff // cos(32 pi/16) C0
+LOCAL_OBJECT_END(double_sin_cos_beta_k4)
+
+.section .text
+
+GLOBAL_IEEE754_ENTRY(sincos)
+// cis_GR_sig_inv_pi_by_16 = significand of 16/pi
+{ .mlx
+      alloc         GR_SAVE_PFS             = ar.pfs, 0, 21, 0, 0
+      movl          cis_GR_sig_inv_pi_by_16 = 0xA2F9836E4E44152A
+                                             
+}
+// cis_GR_rshf_2to61 = 1.1000 2^(63+63-2)
+{ .mlx
+      addl          cis_AD_1                = @ltoff(double_cis_pi), gp
+      movl          cis_GR_rshf_2to61       = 0x47b8000000000000 
+};;
+
+{ .mfi
+      ld8           cis_AD_1            = [cis_AD_1]
+      fnorm.s1      cis_NORM_f8         = cis_Arg
+      cmp.eq        p13, p14            = r0, r0 // p13 set for sincos
+}
+// cis_GR_exp_2tom61 = exponent of scaling factor 2^-61
+{ .mib
+      mov           cis_GR_exp_2tom61   = 0xffff-61
+      nop.i         0
+      br.cond.sptk  _CIS_COMMON
+};;
+GLOBAL_IEEE754_END(sincos)
+LOCAL_LIBM_ENTRY(cis)
+LOCAL_LIBM_END(cis)
+GLOBAL_LIBM_ENTRY(__libm_sincos)
+// cis_GR_sig_inv_pi_by_16 = significand of 16/pi
+{ .mlx
+      alloc         GR_SAVE_PFS             = ar.pfs,0,21,0,0
+      movl          cis_GR_sig_inv_pi_by_16 = 0xA2F9836E4E44152A
+}
+// cis_GR_rshf_2to61 = 1.1000 2^(63+63-2)
+{ .mlx
+      addl          cis_AD_1            = @ltoff(double_cis_pi), gp
+      movl          cis_GR_rshf_2to61   = 0x47b8000000000000
+};;
+// p14 set for __libm_sincos and cis
+{ .mfi
+      ld8           cis_AD_1            = [cis_AD_1]
+      fnorm.s1      cis_NORM_f8         = cis_Arg
+      cmp.eq        p14, p13            = r0, r0 
+}
+// cis_GR_exp_2tom61 = exponent of scaling factor 2^-61
+{ .mib
+      mov           cis_GR_exp_2tom61   = 0xffff-61
+      nop.i         0
+      nop.b         0
+};;
+
+_CIS_COMMON:
+//  Form two constants we need
+//  16/pi * 2^-2 * 2^63, scaled by 2^61 since we just loaded the significand
+//  1.1000...000 * 2^(63+63-2) to right shift int(W) into the low significand
+//  fcmp used to set denormal, and invalid on snans
+{ .mfi
+      setf.sig      cis_SIG_INV_PI_BY_16_2TO61 = cis_GR_sig_inv_pi_by_16
+      fclass.m      p6,p0                      = cis_Arg, 0xe7 // if x=0,inf,nan
+      addl          cis_gr_tmp                 = -1, r0
+}
+// 1.1000 2^63 for right shift
+{ .mlx
+      setf.d        cis_RSHF_2TO61             = cis_GR_rshf_2to61
+      movl          cis_GR_rshf                = 0x43e8000000000000
+};;
+
+//  Form another constant
+//  2^-61 for scaling Nfloat
+//  0x1001a is register_bias + 27.
+//  So if f8 >= 2^27, go to large arguments routine
+{ .mmi
+      getf.exp      cis_r_signexp       = cis_Arg
+      setf.exp      cis_2TOM61          = cis_GR_exp_2tom61
+      mov           cis_exp_limit       = 0x1001a
+};;
+
+//  Load the two pieces of pi/16
+//  Form another constant
+//  1.1000...000 * 2^63, the right shift constant
+{ .mmb
+      ldfe          cis_Pi_by_16_hi     = [cis_AD_1],16
+      setf.d        cis_RSHF            = cis_GR_rshf
+(p6)  br.cond.spnt  _CIS_SPECIAL_ARGS
+};;
+
+// Create constant inexact set
+{ .mmi
+      ldfe          cis_Pi_by_16_lo     = [cis_AD_1],16
+      setf.sig      cis_tmp             = cis_gr_tmp
+      nop.i         0
+};;
+
+{ .mfi
+      ldfe          cis_Pi_by_16_lowest = [cis_AD_1],16
+      nop.f         0
+      nop.i         0
+};;
+
+// Start loading P, Q coefficients
+{ .mib
+      ldfpd         cis_P4,cis_Q4       = [cis_AD_1],16
+      dep.z         cis_r_exp           = cis_r_signexp, 0, 17
+      nop.b         0
+};;
+
+// p10 is true if we must call routines to handle larger arguments
+// p10 is true if f8 exp is > 0x1001a
+{ .mmb
+      ldfpd         cis_P3,cis_Q3       = [cis_AD_1],16
+      cmp.ge        p10, p0             = cis_r_exp, cis_exp_limit
+(p10) br.cond.spnt  _CIS_LARGE_ARGS // go to |x| >= 2^27 path
+};;
+
+// cis_W = x * cis_Inv_Pi_by_16
+// Multiply x by scaled 16/pi and add large const to shift integer part of W to
+// rightmost bits of significand
+{ .mfi
+      ldfpd  cis_P2,cis_Q2   = [cis_AD_1],16
+      fma.s1 cis_W_2TO61_RSH = cis_NORM_f8,cis_SIG_INV_PI_BY_16_2TO61,cis_RSHF_2TO61
+      nop.i  0
+};;
+
+// cis_NFLOAT = Round_Int_Nearest(cis_W)
+{ .mfi
+      ldfpd         cis_P1,cis_Q1       = [cis_AD_1], 16
+      fms.s1        cis_NFLOAT          = cis_W_2TO61_RSH,cis_2TOM61,cis_RSHF
+      nop.i         0
+};;
+
+// get N = (int)cis_int_Nfloat
+{ .mfi
+      getf.sig      cis_GR_n            = cis_W_2TO61_RSH 
+      nop.f         0
+      nop.i         0
+};;
+
+// Add 2^(k-1) (which is in cis_r_sincos) to N
+// cis_r = -cis_Nfloat * cis_Pi_by_16_hi + x
+// cis_r =  cis_r -cis_Nfloat * cis_Pi_by_16_lo
+{ .mfi
+      add           cis_GR_n_cos        = 0x8, cis_GR_n
+      fnma.s1       cis_r               = cis_NFLOAT,cis_Pi_by_16_hi,cis_NORM_f8
+      nop.i         0
+};;
+
+//Get M (least k+1 bits of N)
+{ .mmi
+      and           cis_GR_m_sin        = 0x1f,cis_GR_n
+      and           cis_GR_m_cos        = 0x1f,cis_GR_n_cos
+      nop.i         0
+};;
+
+{ .mmi
+      nop.m         0
+      nop.m         0
+      shl           cis_GR_32m_sin      = cis_GR_m_sin,5
+};;
+
+// Add 32*M to address of sin_cos_beta table
+{ .mmi
+      add           cis_AD_2_sin        = cis_GR_32m_sin, cis_AD_1
+      nop.m         0
+      shl           cis_GR_32m_cos      = cis_GR_m_cos,5
+};;
+
+// Add 32*M to address of sin_cos_beta table
+{ .mmf
+      ldfe          cis_Sm_sin          = [cis_AD_2_sin],16
+      add           cis_AD_2_cos        = cis_GR_32m_cos, cis_AD_1
+      fclass.m.unc  p10,p0              = cis_Arg,0x0b  // den. input - uflow
+};;
+
+{ .mfi
+      ldfe          cis_Sm_cos          = [cis_AD_2_cos], 16
+      fnma.s1       cis_r               = cis_NFLOAT, cis_Pi_by_16_lo,  cis_r
+      nop.i         0
+};;
+
+{ .mfi
+      ldfe          cis_Cm_sin          = [cis_AD_2_sin]
+      fma.s1        cis_rsq             = cis_r, cis_r,   f0  // get r^2
+      nop.i         0
+}
+// fmpy forces inexact flag
+{ .mfi
+      nop.m         0
+      fmpy.s0       cis_tmp             = cis_tmp,cis_tmp
+      nop.i         0
+};;
+
+{ .mfi
+      nop.m         0
+      fnma.s1       cis_r_exact         = cis_NFLOAT, cis_Pi_by_16_lowest, cis_r
+      nop.i         0
+};;
+
+{ .mfi
+      ldfe          cis_Cm_cos          = [cis_AD_2_cos]
+      fma.s1        cis_P_temp1         = cis_rsq, cis_P4, cis_P3 
+      nop.i         0
+}
+
+{ .mfi
+      nop.m         0
+      fma.s1        cis_Q_temp1         = cis_rsq, cis_Q4, cis_Q3
+      nop.i         0
+};;
+
+{ .mfi
+      nop.m         0
+      fmpy.s1       cis_srsq_sin        = cis_Sm_sin, cis_rsq
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fmpy.s1       cis_srsq_cos        = cis_Sm_cos,cis_rsq
+      nop.i         0
+};;
+
+{ .mfi
+      nop.m         0
+      fma.s1        cis_Q_temp2         = cis_rsq, cis_Q_temp1, cis_Q2
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        cis_P_temp2         = cis_rsq, cis_P_temp1, cis_P2
+      nop.i         0
+};;
+
+{ .mfi
+      nop.m         0
+      fma.s1        cis_Q               = cis_rsq, cis_Q_temp2, cis_Q1
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        cis_P               = cis_rsq, cis_P_temp2, cis_P1
+      nop.i         0
+};;
+
+{ .mfi
+      nop.m         0
+      fmpy.s1       cis_rcub            = cis_r_exact, cis_rsq // get r^3
+      nop.i         0
+};;
+
+{ .mfi
+      nop.m         0
+      fma.s1        cis_Q_sin           = cis_srsq_sin,cis_Q, cis_Sm_sin
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        cis_Q_cos           = cis_srsq_cos,cis_Q, cis_Sm_cos
+      nop.i         0
+};;
+
+{ .mfi
+      nop.m         0
+      fma.s1        cis_P               = cis_rcub,cis_P, cis_r_exact // final P
+      nop.i         0
+};;
+
+// If den. arg, force underflow to be set
+{ .mfi
+      nop.m         0
+(p10) fmpy.d.s0     cis_tmp             = cis_Arg,cis_Arg
+      nop.i         0
+};;
+
+{ .mfi
+      nop.m         0
+      fma.d.s0      cis_Sin_res         = cis_Cm_sin,cis_P,cis_Q_sin//Final sin
+      nop.i         0
+}
+{ .mfb
+      nop.m         0
+      fma.d.s0      cis_Cos_res         = cis_Cm_cos,cis_P,cis_Q_cos//Final cos
+(p14) br.ret.sptk   b0  // common exit for __libm_sincos and cis main path
+};;
+
+{ .mmb
+      stfd          [cis_pResSin]       = cis_Sin_res
+      stfd          [cis_pResCos]       = cis_Cos_res
+      br.ret.sptk   b0 // common exit for sincos main path
+};;
+
+_CIS_SPECIAL_ARGS:
+// sin(+/-0) = +/-0
+// sin(Inf)  = NaN
+// sin(NaN)  = NaN
+{ .mfi
+      nop.m         999
+      fma.d.s0      cis_Sin_res          = cis_Arg, f0, f0 // sinf(+/-0,NaN,Inf)
+      nop.i         999
+};;
+// cos(+/-0) = 1.0
+// cos(Inf)  = NaN
+// cos(NaN)  = NaN
+{ .mfb
+      nop.m         999
+      fma.d.s0      cis_Cos_res          = cis_Arg, f0, f1 // cosf(+/-0,NaN,Inf)
+(p14) br.ret.sptk   b0 //spec exit for __libm_sincos and cis main path
+};;
+
+{ .mmb
+      stfd          [cis_pResSin]       = cis_Sin_res
+      stfd          [cis_pResCos]       = cis_Cos_res
+      br.ret.sptk   b0 // common exit for sincos main path
+};;
+GLOBAL_LIBM_END(__libm_sincos)
+////  |x| > 2^27 path  ///////
+.proc _CIS_LARGE_ARGS
+_CIS_LARGE_ARGS:
+.prologue
+{ .mfi
+      nop.m         0
+      nop.f         0
+.save ar.pfs, GR_SAVE_PFS
+      mov           GR_SAVE_PFS         = ar.pfs
+}
+;;
+
+{ .mfi
+      mov           GR_SAVE_GP          = gp
+      nop.f         0
+.save b0, GR_SAVE_B0
+      mov           GR_SAVE_B0          = b0
+};;
+
+.body
+// Call of huge arguments sincos
+{ .mib
+      nop.m         0
+      mov           GR_SAVE_PR          = pr
+      br.call.sptk  b0                  = __libm_sincos_large
+};;
+
+{ .mfi
+      mov           gp                  = GR_SAVE_GP
+      nop.f         0
+      mov           pr                  = GR_SAVE_PR, 0x1fffe
+}
+;;
+
+{ .mfi
+      nop.m         0
+      nop.f         0
+      mov           b0                  = GR_SAVE_B0
+}
+;;
+
+{ .mfi
+      nop.m         0
+      fma.d.s0      cis_Cos_res         = cis_Cos_res, f1, f0
+      mov           ar.pfs              = GR_SAVE_PFS
+}
+{ .mfb
+      nop.m         0
+      fma.d.s0      cis_Sin_res         = cis_Sin_res, f1, f0
+(p14) br.ret.sptk   b0  // exit for |x| > 2^27 path (__libm_sincos and cis)
+};;
+
+{ .mmb
+      stfd          [cis_pResSin]       = cis_Sin_res
+      stfd          [cis_pResCos]       = cis_Cos_res
+      br.ret.sptk   b0 // exit for sincos |x| > 2^27 path
+};;
+.endp _CIS_LARGE_ARGS
+
+.type __libm_sincos_large#,@function
+.global __libm_sincos_large#
+
diff --git a/sysdeps/ia64/fpu/libm_sincos_large.S b/sysdeps/ia64/fpu/libm_sincos_large.S
new file mode 100644
index 0000000000..42cf0940f0
--- /dev/null
+++ b/sysdeps/ia64/fpu/libm_sincos_large.S
@@ -0,0 +1,2754 @@
+.file "libm_sincos_large.s"
+
+
+// Copyright (c) 2002 - 2003, Intel Corporation
+// All rights reserved.
+//
+// Contributed 2002 by the Intel Numerics Group, Intel Corporation
+//
+// Redistribution and use in source and binary forms, with or without
+// modification, are permitted provided that the following conditions are
+// met:
+//
+// * Redistributions of source code must retain the above copyright
+// notice, this list of conditions and the following disclaimer.
+//
+// * Redistributions in binary form must reproduce the above copyright
+// notice, this list of conditions and the following disclaimer in the
+// documentation and/or other materials provided with the distribution.
+//
+// * The name of Intel Corporation may not be used to endorse or promote
+// products derived from this software without specific prior written
+// permission.
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
+// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
+// OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+//
+// Intel Corporation is the author of this code, and requests that all
+// problem reports or change requests be submitted to it directly at
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
+//
+// History
+//==============================================================
+// 02/15/02 Initial version
+// 05/13/02 Changed interface to __libm_pi_by_2_reduce
+// 02/10/03 Reordered header: .section, .global, .proc, .align;
+//          used data8 for long double table values
+// 05/15/03 Reformatted data tables
+//
+//
+// Overview of operation
+//==============================================================
+//
+// These functions calculate the sin and cos for inputs
+// greater than 2^10
+//
+// __libm_sin_large#
+// __libm_cos_large#
+// They accept argument in f8
+// and return result in f8 without final rounding
+//
+// __libm_sincos_large#
+// It accepts argument in f8
+// and returns cos in f8 and sin in f9 without final rounding
+//
+//
+//*********************************************************************
+//
+// Accuracy:       Within .7 ulps for 80-bit floating point values
+//                 Very accurate for double precision values
+//
+//*********************************************************************
+//
+// Resources Used:
+//
+//    Floating-Point Registers: f8 as Input Value, f8 and f9 as Return Values
+//                              f32-f103
+//
+//    General Purpose Registers:
+//      r32-r43
+//      r44-r45 (Used to pass arguments to pi_by_2 reduce routine)
+//
+//    Predicate Registers:      p6-p13
+//
+//*********************************************************************
+//
+//  IEEE Special Conditions:
+//
+//    Denormal  fault raised on denormal inputs
+//    Overflow exceptions do not occur
+//    Underflow exceptions raised when appropriate for sin
+//    (No specialized error handling for this routine)
+//    Inexact raised when appropriate by algorithm
+//
+//    sin(SNaN) = QNaN
+//    sin(QNaN) = QNaN
+//    sin(inf) = QNaN
+//    sin(+/-0) = +/-0
+//    cos(inf) = QNaN
+//    cos(SNaN) = QNaN
+//    cos(QNaN) = QNaN
+//    cos(0) = 1
+//
+//*********************************************************************
+//
+//  Mathematical Description
+//  ========================
+//
+//  The computation of FSIN and FCOS is best handled in one piece of
+//  code. The main reason is that given any argument Arg, computation
+//  of trigonometric functions first calculate N and an approximation
+//  to alpha where
+//
+//  Arg = N pi/2 + alpha, |alpha| <= pi/4.
+//
+//  Since
+//
+//  cos( Arg ) = sin( (N+1) pi/2 + alpha ),
+//
+//  therefore, the code for computing sine will produce cosine as long
+//  as 1 is added to N immediately after the argument reduction
+//  process.
+//
+//  Let M = N if sine
+//      N+1 if cosine.
+//
+//  Now, given
+//
+//  Arg = M pi/2  + alpha, |alpha| <= pi/4,
+//
+//  let I = M mod 4, or I be the two lsb of M when M is represented
+//  as 2's complement. I = [i_0 i_1]. Then
+//
+//  sin( Arg ) = (-1)^i_0  sin( alpha ) if i_1 = 0,
+//             = (-1)^i_0  cos( alpha )     if i_1 = 1.
+//
+//  For example:
+//       if M = -1, I = 11
+//         sin ((-pi/2 + alpha) = (-1) cos (alpha)
+//       if M = 0, I = 00
+//         sin (alpha) = sin (alpha)
+//       if M = 1, I = 01
+//         sin (pi/2 + alpha) = cos (alpha)
+//       if M = 2, I = 10
+//         sin (pi + alpha) = (-1) sin (alpha)
+//       if M = 3, I = 11
+//         sin ((3/2)pi + alpha) = (-1) cos (alpha)
+//
+//  The value of alpha is obtained by argument reduction and
+//  represented by two working precision numbers r and c where
+//
+//  alpha =  r  +  c     accurately.
+//
+//  The reduction method is described in a previous write up.
+//  The argument reduction scheme identifies 4 cases. For Cases 2
+//  and 4, because |alpha| is small, sin(r+c) and cos(r+c) can be
+//  computed very easily by 2 or 3 terms of the Taylor series
+//  expansion as follows:
+//
+//  Case 2:
+//  -------
+//
+//  sin(r + c) = r + c - r^3/6  accurately
+//  cos(r + c) = 1 - 2^(-67)    accurately
+//
+//  Case 4:
+//  -------
+//
+//  sin(r + c) = r + c - r^3/6 + r^5/120    accurately
+//  cos(r + c) = 1 - r^2/2 + r^4/24     accurately
+//
+//  The only cases left are Cases 1 and 3 of the argument reduction
+//  procedure. These two cases will be merged since after the
+//  argument is reduced in either cases, we have the reduced argument
+//  represented as r + c and that the magnitude |r + c| is not small
+//  enough to allow the usage of a very short approximation.
+//
+//  The required calculation is either
+//
+//  sin(r + c)  =  sin(r)  +  correction,  or
+//  cos(r + c)  =  cos(r)  +  correction.
+//
+//  Specifically,
+//
+//  sin(r + c) = sin(r) + c sin'(r) + O(c^2)
+//         = sin(r) + c cos (r) + O(c^2)
+//         = sin(r) + c(1 - r^2/2)  accurately.
+//  Similarly,
+//
+//  cos(r + c) = cos(r) - c sin(r) + O(c^2)
+//         = cos(r) - c(r - r^3/6)  accurately.
+//
+//  We therefore concentrate on accurately calculating sin(r) and
+//  cos(r) for a working-precision number r, |r| <= pi/4 to within
+//  0.1% or so.
+//
+//  The greatest challenge of this task is that the second terms of
+//  the Taylor series
+//
+//  r - r^3/3! + r^r/5! - ...
+//
+//  and
+//
+//  1 - r^2/2! + r^4/4! - ...
+//
+//  are not very small when |r| is close to pi/4 and the rounding
+//  errors will be a concern if simple polynomial accumulation is
+//  used. When |r| < 2^-3, however, the second terms will be small
+//  enough (6 bits or so of right shift) that a normal Horner
+//  recurrence suffices. Hence there are two cases that we consider
+//  in the accurate computation of sin(r) and cos(r), |r| <= pi/4.
+//
+//  Case small_r: |r| < 2^(-3)
+//  --------------------------
+//
+//  Since Arg = M pi/4 + r + c accurately, and M mod 4 is [i_0 i_1],
+//  we have
+//
+//  sin(Arg) = (-1)^i_0 * sin(r + c)    if i_1 = 0
+//       = (-1)^i_0 * cos(r + c)    if i_1 = 1
+//
+//  can be accurately approximated by
+//
+//  sin(Arg) = (-1)^i_0 * [sin(r) + c]  if i_1 = 0
+//           = (-1)^i_0 * [cos(r) - c*r] if i_1 = 1
+//
+//  because |r| is small and thus the second terms in the correction
+//  are unneccessary.
+//
+//  Finally, sin(r) and cos(r) are approximated by polynomials of
+//  moderate lengths.
+//
+//  sin(r) =  r + S_1 r^3 + S_2 r^5 + ... + S_5 r^11
+//  cos(r) =  1 + C_1 r^2 + C_2 r^4 + ... + C_5 r^10
+//
+//  We can make use of predicates to selectively calculate
+//  sin(r) or cos(r) based on i_1.
+//
+//  Case normal_r: 2^(-3) <= |r| <= pi/4
+//  ------------------------------------
+//
+//  This case is more likely than the previous one if one considers
+//  r to be uniformly distributed in [-pi/4 pi/4]. Again,
+//
+//  sin(Arg) = (-1)^i_0 * sin(r + c)    if i_1 = 0
+//           = (-1)^i_0 * cos(r + c)    if i_1 = 1.
+//
+//  Because |r| is now larger, we need one extra term in the
+//  correction. sin(Arg) can be accurately approximated by
+//
+//  sin(Arg) = (-1)^i_0 * [sin(r) + c(1-r^2/2)]      if i_1 = 0
+//           = (-1)^i_0 * [cos(r) - c*r*(1 - r^2/6)]    i_1 = 1.
+//
+//  Finally, sin(r) and cos(r) are approximated by polynomials of
+//  moderate lengths.
+//
+//  sin(r) =  r + PP_1_hi r^3 + PP_1_lo r^3 +
+//                PP_2 r^5 + ... + PP_8 r^17
+//
+//  cos(r) =  1 + QQ_1 r^2 + QQ_2 r^4 + ... + QQ_8 r^16
+//
+//  where PP_1_hi is only about 16 bits long and QQ_1 is -1/2.
+//  The crux in accurate computation is to calculate
+//
+//  r + PP_1_hi r^3   or  1 + QQ_1 r^2
+//
+//  accurately as two pieces: U_hi and U_lo. The way to achieve this
+//  is to obtain r_hi as a 10 sig. bit number that approximates r to
+//  roughly 8 bits or so of accuracy. (One convenient way is
+//
+//  r_hi := frcpa( frcpa( r ) ).)
+//
+//  This way,
+//
+//  r + PP_1_hi r^3 =  r + PP_1_hi r_hi^3 +
+//                          PP_1_hi (r^3 - r_hi^3)
+//              =  [r + PP_1_hi r_hi^3]  +
+//             [PP_1_hi (r - r_hi)
+//                (r^2 + r_hi r + r_hi^2) ]
+//              =  U_hi  +  U_lo
+//
+//  Since r_hi is only 10 bit long and PP_1_hi is only 16 bit long,
+//  PP_1_hi * r_hi^3 is only at most 46 bit long and thus computed
+//  exactly. Furthermore, r and PP_1_hi r_hi^3 are of opposite sign
+//  and that there is no more than 8 bit shift off between r and
+//  PP_1_hi * r_hi^3. Hence the sum, U_hi, is representable and thus
+//  calculated without any error. Finally, the fact that
+//
+//  |U_lo| <= 2^(-8) |U_hi|
+//
+//  says that U_hi + U_lo is approximating r + PP_1_hi r^3 to roughly
+//  8 extra bits of accuracy.
+//
+//  Similarly,
+//
+//  1 + QQ_1 r^2  =  [1 + QQ_1 r_hi^2]  +
+//                      [QQ_1 (r - r_hi)(r + r_hi)]
+//            =  U_hi  +  U_lo.
+//
+//  Summarizing, we calculate r_hi = frcpa( frcpa( r ) ).
+//
+//  If i_1 = 0, then
+//
+//    U_hi := r + PP_1_hi * r_hi^3
+//    U_lo := PP_1_hi * (r - r_hi) * (r^2 + r*r_hi + r_hi^2)
+//    poly := PP_1_lo r^3 + PP_2 r^5 + ... + PP_8 r^17
+//    correction := c * ( 1 + C_1 r^2 )
+//
+//  Else ...i_1 = 1
+//
+//    U_hi := 1 + QQ_1 * r_hi * r_hi
+//    U_lo := QQ_1 * (r - r_hi) * (r + r_hi)
+//    poly := QQ_2 * r^4 + QQ_3 * r^6 + ... + QQ_8 r^16
+//    correction := -c * r * (1 + S_1 * r^2)
+//
+//  End
+//
+//  Finally,
+//
+//  V := poly + ( U_lo + correction )
+//
+//                 /    U_hi  +  V         if i_0 = 0
+//  result := |
+//                 \  (-U_hi) -  V         if i_0 = 1
+//
+//  It is important that in the last step, negation of U_hi is
+//  performed prior to the subtraction which is to be performed in
+//  the user-set rounding mode.
+//
+//
+//  Algorithmic Description
+//  =======================
+//
+//  The argument reduction algorithm is tightly integrated into FSIN
+//  and FCOS which share the same code. The following is complete and
+//  self-contained. The argument reduction description given
+//  previously is repeated below.
+//
+//
+//  Step 0. Initialization.
+//
+//   If FSIN is invoked, set N_inc := 0; else if FCOS is invoked,
+//   set N_inc := 1.
+//
+//  Step 1. Check for exceptional and special cases.
+//
+//   * If Arg is +-0, +-inf, NaN, NaT, go to Step 10 for special
+//     handling.
+//   * If |Arg| < 2^24, go to Step 2 for reduction of moderate
+//     arguments. This is the most likely case.
+//   * If |Arg| < 2^63, go to Step 8 for pre-reduction of large
+//     arguments.
+//   * If |Arg| >= 2^63, go to Step 10 for special handling.
+//
+//  Step 2. Reduction of moderate arguments.
+//
+//  If |Arg| < pi/4     ...quick branch
+//     N_fix := N_inc   (integer)
+//     r     := Arg
+//     c     := 0.0
+//     Branch to Step 4, Case_1_complete
+//  Else        ...cf. argument reduction
+//     N     := Arg * two_by_PI (fp)
+//     N_fix := fcvt.fx( N )    (int)
+//     N     := fcvt.xf( N_fix )
+//     N_fix := N_fix + N_inc
+//     s     := Arg - N * P_1   (first piece of pi/2)
+//     w     := -N * P_2    (second piece of pi/2)
+//
+//     If |s| >= 2^(-33)
+//        go to Step 3, Case_1_reduce
+//     Else
+//        go to Step 7, Case_2_reduce
+//     Endif
+//  Endif
+//
+//  Step 3. Case_1_reduce.
+//
+//  r := s + w
+//  c := (s - r) + w    ...observe order
+//
+//  Step 4. Case_1_complete
+//
+//  ...At this point, the reduced argument alpha is
+//  ...accurately represented as r + c.
+//  If |r| < 2^(-3), go to Step 6, small_r.
+//
+//  Step 5. Normal_r.
+//
+//  Let [i_0 i_1] by the 2 lsb of N_fix.
+//  FR_rsq  := r * r
+//  r_hi := frcpa( frcpa( r ) )
+//  r_lo := r - r_hi
+//
+//  If i_1 = 0, then
+//    poly := r*FR_rsq*(PP_1_lo + FR_rsq*(PP_2 + ... FR_rsq*PP_8))
+//    U_hi := r + PP_1_hi*r_hi*r_hi*r_hi    ...any order
+//    U_lo := PP_1_hi*r_lo*(r*r + r*r_hi + r_hi*r_hi)
+//    correction := c + c*C_1*FR_rsq        ...any order
+//  Else
+//    poly := FR_rsq*FR_rsq*(QQ_2 + FR_rsq*(QQ_3 + ... + FR_rsq*QQ_8))
+//    U_hi := 1 + QQ_1 * r_hi * r_hi        ...any order
+//    U_lo := QQ_1 * r_lo * (r + r_hi)
+//    correction := -c*(r + S_1*FR_rsq*r)   ...any order
+//  Endif
+//
+//  V := poly + (U_lo + correction) ...observe order
+//
+//  result := (i_0 == 0?   1.0 : -1.0)
+//
+//  Last instruction in user-set rounding mode
+//
+//  result := (i_0 == 0?   result*U_hi + V :
+//                        result*U_hi - V)
+//
+//  Return
+//
+//  Step 6. Small_r.
+//
+//  ...Use flush to zero mode without causing exception
+//    Let [i_0 i_1] be the two lsb of N_fix.
+//
+//  FR_rsq := r * r
+//
+//  If i_1 = 0 then
+//     z := FR_rsq*FR_rsq; z := FR_rsq*z *r
+//     poly_lo := S_3 + FR_rsq*(S_4 + FR_rsq*S_5)
+//     poly_hi := r*FR_rsq*(S_1 + FR_rsq*S_2)
+//     correction := c
+//     result := r
+//  Else
+//     z := FR_rsq*FR_rsq; z := FR_rsq*z
+//     poly_lo := C_3 + FR_rsq*(C_4 + FR_rsq*C_5)
+//     poly_hi := FR_rsq*(C_1 + FR_rsq*C_2)
+//     correction := -c*r
+//     result := 1
+//  Endif
+//
+//  poly := poly_hi + (z * poly_lo + correction)
+//
+//  If i_0 = 1, result := -result
+//
+//  Last operation. Perform in user-set rounding mode
+//
+//  result := (i_0 == 0?     result + poly :
+//                          result - poly )
+//  Return
+//
+//  Step 7. Case_2_reduce.
+//
+//  ...Refer to the write up for argument reduction for
+//  ...rationale. The reduction algorithm below is taken from
+//  ...argument reduction description and integrated this.
+//
+//  w := N*P_3
+//  U_1 := N*P_2 + w        ...FMA
+//  U_2 := (N*P_2 - U_1) + w    ...2 FMA
+//  ...U_1 + U_2 is  N*(P_2+P_3) accurately
+//
+//  r := s - U_1
+//  c := ( (s - r) - U_1 ) - U_2
+//
+//  ...The mathematical sum r + c approximates the reduced
+//  ...argument accurately. Note that although compared to
+//  ...Case 1, this case requires much more work to reduce
+//  ...the argument, the subsequent calculation needed for
+//  ...any of the trigonometric function is very little because
+//  ...|alpha| < 1.01*2^(-33) and thus two terms of the
+//  ...Taylor series expansion suffices.
+//
+//  If i_1 = 0 then
+//     poly := c + S_1 * r * r * r  ...any order
+//     result := r
+//  Else
+//     poly := -2^(-67)
+//     result := 1.0
+//  Endif
+//
+//  If i_0 = 1, result := -result
+//
+//  Last operation. Perform in user-set rounding mode
+//
+//  result := (i_0 == 0?     result + poly :
+//                           result - poly )
+//
+//  Return
+//
+//
+//  Step 8. Pre-reduction of large arguments.
+//
+//  ...Again, the following reduction procedure was described
+//  ...in the separate write up for argument reduction, which
+//  ...is tightly integrated here.
+
+//  N_0 := Arg * Inv_P_0
+//  N_0_fix := fcvt.fx( N_0 )
+//  N_0 := fcvt.xf( N_0_fix)
+
+//  Arg' := Arg - N_0 * P_0
+//  w := N_0 * d_1
+//  N := Arg' * two_by_PI
+//  N_fix := fcvt.fx( N )
+//  N := fcvt.xf( N_fix )
+//  N_fix := N_fix + N_inc
+//
+//  s := Arg' - N * P_1
+//  w := w - N * P_2
+//
+//  If |s| >= 2^(-14)
+//     go to Step 3
+//  Else
+//     go to Step 9
+//  Endif
+//
+//  Step 9. Case_4_reduce.
+//
+//    ...first obtain N_0*d_1 and -N*P_2 accurately
+//   U_hi := N_0 * d_1      V_hi := -N*P_2
+//   U_lo := N_0 * d_1 - U_hi   V_lo := -N*P_2 - U_hi   ...FMAs
+//
+//   ...compute the contribution from N_0*d_1 and -N*P_3
+//   w := -N*P_3
+//   w := w + N_0*d_2
+//   t := U_lo + V_lo + w       ...any order
+//
+//   ...at this point, the mathematical value
+//   ...s + U_hi + V_hi  + t approximates the true reduced argument
+//   ...accurately. Just need to compute this accurately.
+//
+//   ...Calculate U_hi + V_hi accurately:
+//   A := U_hi + V_hi
+//   if |U_hi| >= |V_hi| then
+//      a := (U_hi - A) + V_hi
+//   else
+//      a := (V_hi - A) + U_hi
+//   endif
+//   ...order in computing "a" must be observed. This branch is
+//   ...best implemented by predicates.
+//   ...A + a  is U_hi + V_hi accurately. Moreover, "a" is
+//   ...much smaller than A: |a| <= (1/2)ulp(A).
+//
+//   ...Just need to calculate   s + A + a + t
+//   C_hi := s + A      t := t + a
+//   C_lo := (s - C_hi) + A
+//   C_lo := C_lo + t
+//
+//   ...Final steps for reduction
+//   r := C_hi + C_lo
+//   c := (C_hi - r) + C_lo
+//
+//   ...At this point, we have r and c
+//   ...And all we need is a couple of terms of the corresponding
+//   ...Taylor series.
+//
+//   If i_1 = 0
+//      poly := c + r*FR_rsq*(S_1 + FR_rsq*S_2)
+//      result := r
+//   Else
+//      poly := FR_rsq*(C_1 + FR_rsq*C_2)
+//      result := 1
+//   Endif
+//
+//   If i_0 = 1, result := -result
+//
+//   Last operation. Perform in user-set rounding mode
+//
+//   result := (i_0 == 0?     result + poly :
+//                            result - poly )
+//   Return
+//
+//   Large Arguments: For arguments above 2**63, a Payne-Hanek
+//   style argument reduction is used and pi_by_2 reduce is called.
+//
+
+
+RODATA
+.align 16
+
+LOCAL_OBJECT_START(FSINCOS_CONSTANTS)
+
+data4 0x4B800000 // two**24
+data4 0xCB800000 // -two**24
+data4 0x00000000 // pad
+data4 0x00000000 // pad
+data8 0xA2F9836E4E44152A, 0x00003FFE // Inv_pi_by_2
+data8 0xC84D32B0CE81B9F1, 0x00004016 // P_0
+data8 0xC90FDAA22168C235, 0x00003FFF // P_1
+data8 0xECE675D1FC8F8CBB, 0x0000BFBD // P_2
+data8 0xB7ED8FBBACC19C60, 0x0000BF7C // P_3
+data4 0x5F000000 // two**63
+data4 0xDF000000 // -two**63
+data4 0x00000000 // pad
+data4 0x00000000 // pad
+data8 0xA397E5046EC6B45A, 0x00003FE7 // Inv_P_0
+data8 0x8D848E89DBD171A1, 0x0000BFBF // d_1
+data8 0xD5394C3618A66F8E, 0x0000BF7C // d_2
+data8 0xC90FDAA22168C234, 0x00003FFE // pi_by_4
+data8 0xC90FDAA22168C234, 0x0000BFFE // neg_pi_by_4
+data4 0x3E000000 // two**-3
+data4 0xBE000000 // -two**-3
+data4 0x00000000 // pad
+data4 0x00000000 // pad
+data4 0x2F000000 // two**-33
+data4 0xAF000000 // -two**-33
+data4 0x9E000000 // -two**-67
+data4 0x00000000 // pad
+data8 0xCC8ABEBCA21C0BC9, 0x00003FCE // PP_8
+data8 0xD7468A05720221DA, 0x0000BFD6 // PP_7
+data8 0xB092382F640AD517, 0x00003FDE // PP_6
+data8 0xD7322B47D1EB75A4, 0x0000BFE5 // PP_5
+data8 0xFFFFFFFFFFFFFFFE, 0x0000BFFD // C_1
+data8 0xAAAA000000000000, 0x0000BFFC // PP_1_hi
+data8 0xB8EF1D2ABAF69EEA, 0x00003FEC // PP_4
+data8 0xD00D00D00D03BB69, 0x0000BFF2 // PP_3
+data8 0x8888888888888962, 0x00003FF8 // PP_2
+data8 0xAAAAAAAAAAAB0000, 0x0000BFEC // PP_1_lo
+data8 0xD56232EFC2B0FE52, 0x00003FD2 // QQ_8
+data8 0xC9C99ABA2B48DCA6, 0x0000BFDA // QQ_7
+data8 0x8F76C6509C716658, 0x00003FE2 // QQ_6
+data8 0x93F27DBAFDA8D0FC, 0x0000BFE9 // QQ_5
+data8 0xAAAAAAAAAAAAAAAA, 0x0000BFFC // S_1
+data8 0x8000000000000000, 0x0000BFFE // QQ_1
+data8 0xD00D00D00C6E5041, 0x00003FEF // QQ_4
+data8 0xB60B60B60B607F60, 0x0000BFF5 // QQ_3
+data8 0xAAAAAAAAAAAAAA9B, 0x00003FFA // QQ_2
+data8 0xFFFFFFFFFFFFFFFE, 0x0000BFFD // C_1
+data8 0xAAAAAAAAAAAA719F, 0x00003FFA // C_2
+data8 0xB60B60B60356F994, 0x0000BFF5 // C_3
+data8 0xD00CFFD5B2385EA9, 0x00003FEF // C_4
+data8 0x93E4BD18292A14CD, 0x0000BFE9 // C_5
+data8 0xAAAAAAAAAAAAAAAA, 0x0000BFFC // S_1
+data8 0x88888888888868DB, 0x00003FF8 // S_2
+data8 0xD00D00D0055EFD4B, 0x0000BFF2 // S_3
+data8 0xB8EF1C5D839730B9, 0x00003FEC // S_4
+data8 0xD71EA3A4E5B3F492, 0x0000BFE5 // S_5
+data4 0x38800000 // two**-14
+data4 0xB8800000 // -two**-14
+LOCAL_OBJECT_END(FSINCOS_CONSTANTS)
+
+// sin and cos registers
+
+// FR
+FR_Input_X        = f8
+
+FR_r              = f8
+FR_c              = f9
+
+FR_Two_to_63      = f32
+FR_Two_to_24      = f33
+FR_Pi_by_4        = f33
+FR_Two_to_M14     = f34
+FR_Two_to_M33     = f35
+FR_Neg_Two_to_24  = f36
+FR_Neg_Pi_by_4    = f36
+FR_Neg_Two_to_M14 = f37
+FR_Neg_Two_to_M33 = f38
+FR_Neg_Two_to_M67 = f39
+FR_Inv_pi_by_2    = f40
+FR_N_float        = f41
+FR_N_fix          = f42
+FR_P_1            = f43
+FR_P_2            = f44
+FR_P_3            = f45
+FR_s              = f46
+FR_w              = f47
+FR_d_2            = f48
+FR_prelim         = f49
+FR_Z              = f50
+FR_A              = f51
+FR_a              = f52
+FR_t              = f53
+FR_U_1            = f54
+FR_U_2            = f55
+FR_C_1            = f56
+FR_C_2            = f57
+FR_C_3            = f58
+FR_C_4            = f59
+FR_C_5            = f60
+FR_S_1            = f61
+FR_S_2            = f62
+FR_S_3            = f63
+FR_S_4            = f64
+FR_S_5            = f65
+FR_poly_hi        = f66
+FR_poly_lo        = f67
+FR_r_hi           = f68
+FR_r_lo           = f69
+FR_rsq            = f70
+FR_r_cubed        = f71
+FR_C_hi           = f72
+FR_N_0            = f73
+FR_d_1            = f74
+FR_V              = f75
+FR_V_hi           = f75
+FR_V_lo           = f76
+FR_U_hi           = f77
+FR_U_lo           = f78
+FR_U_hiabs        = f79
+FR_V_hiabs        = f80
+FR_PP_8           = f81
+FR_QQ_8           = f81
+FR_PP_7           = f82
+FR_QQ_7           = f82
+FR_PP_6           = f83
+FR_QQ_6           = f83
+FR_PP_5           = f84
+FR_QQ_5           = f84
+FR_PP_4           = f85
+FR_QQ_4           = f85
+FR_PP_3           = f86
+FR_QQ_3           = f86
+FR_PP_2           = f87
+FR_QQ_2           = f87
+FR_QQ_1           = f88
+FR_N_0_fix        = f89
+FR_Inv_P_0        = f90
+FR_corr           = f91
+FR_poly           = f92
+FR_Neg_Two_to_M3  = f93
+FR_Two_to_M3      = f94
+FR_Neg_Two_to_63  = f94
+FR_P_0            = f95
+FR_C_lo           = f96
+FR_PP_1           = f97
+FR_PP_1_lo        = f98
+FR_ArgPrime       = f99
+
+// GR
+GR_Table_Base     = r32
+GR_Table_Base1    = r33
+GR_i_0            = r34
+GR_i_1            = r35
+GR_N_Inc          = r36
+GR_Sin_or_Cos     = r37
+
+GR_SAVE_B0        = r39
+GR_SAVE_GP        = r40
+GR_SAVE_PFS       = r41
+
+// sincos combined routine registers
+
+// GR
+GR_SINCOS_SAVE_PFS    = r32
+GR_SINCOS_SAVE_B0     = r33
+GR_SINCOS_SAVE_GP     = r34
+
+// FR
+FR_SINCOS_ARG         = f100
+FR_SINCOS_RES_SIN     = f101
+
+
+.section .text
+
+
+GLOBAL_LIBM_ENTRY(__libm_sincos_large)
+
+{ .mfi
+        alloc GR_SINCOS_SAVE_PFS = ar.pfs,0,3,0,0
+        fma.s1 FR_SINCOS_ARG     = f8, f1, f0  // Save argument for sin and cos
+        mov GR_SINCOS_SAVE_B0    = b0
+};;
+
+{ .mfb
+        mov GR_SINCOS_SAVE_GP    = gp
+        nop.f  0
+        br.call.sptk b0          = __libm_sin_large // Call sin
+};;
+
+{ .mfi
+        nop.m  0
+        fma.s1 FR_SINCOS_RES_SIN = f8, f1, f0 // Save sin result
+        nop.i  0
+};;
+
+{ .mfb
+        nop.m  0
+        fma.s1 f8                = FR_SINCOS_ARG, f1, f0 // Arg for cos
+        br.call.sptk b0          = __libm_cos_large // Call cos
+};;
+
+{ .mfi
+        mov    gp                = GR_SINCOS_SAVE_GP
+        fma.s1 f9                = FR_SINCOS_RES_SIN, f1, f0 // Out sin result
+        mov    b0                = GR_SINCOS_SAVE_B0
+};;
+
+{ .mib
+        nop.m  0
+        mov ar.pfs               = GR_SINCOS_SAVE_PFS
+        br.ret.sptk                b0 // sincos_large exit
+};;
+
+GLOBAL_LIBM_END(__libm_sincos_large)
+
+
+
+GLOBAL_LIBM_ENTRY(__libm_sin_large)
+
+{ .mlx
+alloc GR_Table_Base = ar.pfs,0,12,2,0
+       movl GR_Sin_or_Cos = 0x0 ;;
+}
+
+{ .mmi
+      nop.m 999
+      addl           GR_Table_Base   = @ltoff(FSINCOS_CONSTANTS#), gp
+      nop.i 999
+}
+;;
+
+{ .mmi
+      ld8 GR_Table_Base = [GR_Table_Base]
+      nop.m 999
+      nop.i 999
+}
+;;
+
+
+{ .mib
+      nop.m 999
+      nop.i 999
+       br.cond.sptk SINCOS_CONTINUE ;;
+}
+
+GLOBAL_LIBM_END(__libm_sin_large)
+GLOBAL_LIBM_ENTRY(__libm_cos_large)
+
+{ .mlx
+alloc GR_Table_Base= ar.pfs,0,12,2,0
+       movl GR_Sin_or_Cos = 0x1 ;;
+}
+
+{ .mmi
+      nop.m 999
+      addl           GR_Table_Base   = @ltoff(FSINCOS_CONSTANTS#), gp
+      nop.i 999
+}
+;;
+
+{ .mmi
+      ld8 GR_Table_Base = [GR_Table_Base]
+      nop.m 999
+      nop.i 999
+}
+;;
+
+//
+//     Load Table Address
+//
+SINCOS_CONTINUE:
+
+{ .mmi
+       add GR_Table_Base1 = 96, GR_Table_Base
+       ldfs FR_Two_to_24 = [GR_Table_Base], 4
+       nop.i 999
+}
+;;
+
+{ .mmi
+      nop.m 999
+//
+//     Load 2**24, load 2**63.
+//
+       ldfs FR_Neg_Two_to_24 = [GR_Table_Base], 12
+       mov   r41 = ar.pfs ;;
+}
+
+{ .mfi
+       ldfs FR_Two_to_63 = [GR_Table_Base1], 4
+//
+//     Check for unnormals - unsupported operands. We do not want
+//     to generate denormal exception
+//     Check for NatVals, QNaNs, SNaNs, +/-Infs
+//     Check for EM unsupporteds
+//     Check for Zero
+//
+       fclass.m.unc  p6, p8 =  FR_Input_X, 0x1E3
+       mov   r40 = gp ;;
+}
+
+{ .mfi
+      nop.m 999
+       fclass.nm.unc p8, p0 =  FR_Input_X, 0x1FF
+// GR_Sin_or_Cos denotes
+       mov   r39 = b0
+}
+
+{ .mfb
+       ldfs FR_Neg_Two_to_63 = [GR_Table_Base1], 12
+       fclass.m.unc p10, p0 = FR_Input_X, 0x007
+(p6)   br.cond.spnt SINCOS_SPECIAL ;;
+}
+
+{ .mib
+      nop.m 999
+      nop.i 999
+(p8)   br.cond.spnt SINCOS_SPECIAL ;;
+}
+
+{ .mib
+      nop.m 999
+      nop.i 999
+//
+//     Branch if +/- NaN, Inf.
+//     Load -2**24, load -2**63.
+//
+(p10)  br.cond.spnt SINCOS_ZERO ;;
+}
+
+{ .mmb
+       ldfe FR_Inv_pi_by_2 = [GR_Table_Base], 16
+       ldfe FR_Inv_P_0 = [GR_Table_Base1], 16
+      nop.b 999 ;;
+}
+
+{ .mmb
+      nop.m 999
+       ldfe     FR_d_1 = [GR_Table_Base1], 16
+      nop.b 999 ;;
+}
+//
+//     Raise possible denormal operand flag with useful fcmp
+//     Is x <= -2**63
+//     Load Inv_P_0 for pre-reduction
+//     Load Inv_pi_by_2
+//
+
+{ .mmb
+       ldfe     FR_P_0 = [GR_Table_Base], 16
+       ldfe FR_d_2 = [GR_Table_Base1], 16
+      nop.b 999 ;;
+}
+//
+//     Load P_0
+//     Load d_1
+//     Is x >= 2**63
+//     Is x <= -2**24?
+//
+
+{ .mmi
+       ldfe FR_P_1 = [GR_Table_Base], 16 ;;
+//
+//     Load P_1
+//     Load d_2
+//     Is x >= 2**24?
+//
+       ldfe FR_P_2 = [GR_Table_Base], 16
+      nop.i 999 ;;
+}
+
+{ .mmf
+      nop.m 999
+       ldfe FR_P_3 = [GR_Table_Base], 16
+       fcmp.le.unc.s1   p7, p8 = FR_Input_X, FR_Neg_Two_to_24
+}
+
+{ .mfi
+      nop.m 999
+//
+//     Branch if +/- zero.
+//     Decide about the paths to take:
+//     If -2**24 < FR_Input_X < 2**24 - CASE 1 OR 2
+//     OTHERWISE - CASE 3 OR 4
+//
+       fcmp.le.unc.s1   p10, p11 = FR_Input_X, FR_Neg_Two_to_63
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+(p8)   fcmp.ge.s1 p7, p0 = FR_Input_X, FR_Two_to_24
+      nop.i 999
+}
+
+{ .mfi
+       ldfe FR_Pi_by_4 = [GR_Table_Base1], 16
+(p11)  fcmp.ge.s1   p10, p0 = FR_Input_X, FR_Two_to_63
+      nop.i 999 ;;
+}
+
+{ .mmi
+       ldfe FR_Neg_Pi_by_4 = [GR_Table_Base1], 16 ;;
+       ldfs FR_Two_to_M3 = [GR_Table_Base1], 4
+      nop.i 999 ;;
+}
+
+{ .mib
+       ldfs FR_Neg_Two_to_M3 = [GR_Table_Base1], 12
+      nop.i 999
+//
+//     Load P_2
+//     Load P_3
+//     Load pi_by_4
+//     Load neg_pi_by_4
+//     Load 2**(-3)
+//     Load -2**(-3).
+//
+(p10)  br.cond.spnt SINCOS_ARG_TOO_LARGE ;;
+}
+
+{ .mib
+      nop.m 999
+      nop.i 999
+//
+//     Branch out if x >= 2**63. Use Payne-Hanek Reduction
+//
+(p7)   br.cond.spnt SINCOS_LARGER_ARG ;;
+}
+
+{ .mfi
+      nop.m 999
+//
+//     Branch if Arg <= -2**24 or Arg >= 2**24 and use pre-reduction.
+//
+       fma.s1   FR_N_float = FR_Input_X, FR_Inv_pi_by_2, f0
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+       fcmp.lt.unc.s1   p6, p7 = FR_Input_X, FR_Pi_by_4
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+//
+//     Select the case when |Arg| < pi/4
+//     Else Select the case when |Arg| >= pi/4
+//
+       fcvt.fx.s1 FR_N_fix = FR_N_float
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+//
+//     N  = Arg * 2/pi
+//     Check if Arg < pi/4
+//
+(p6)   fcmp.gt.s1 p6, p7 = FR_Input_X, FR_Neg_Pi_by_4
+      nop.i 999 ;;
+}
+//
+//     Case 2: Convert integer N_fix back to normalized floating-point value.
+//     Case 1: p8 is only affected  when p6 is set
+//
+
+{ .mfi
+(p7)   ldfs FR_Two_to_M33 = [GR_Table_Base1], 4
+//
+//     Grab the integer part of N and call it N_fix
+//
+(p6)   fmerge.se FR_r = FR_Input_X, FR_Input_X
+//     If |x| < pi/4, r = x and c = 0
+//     lf |x| < pi/4, is x < 2**(-3).
+//     r = Arg
+//     c = 0
+(p6)   mov GR_N_Inc = GR_Sin_or_Cos ;;
+}
+
+{ .mmf
+      nop.m 999
+(p7)   ldfs FR_Neg_Two_to_M33 = [GR_Table_Base1], 4
+(p6)   fmerge.se FR_c = f0, f0
+}
+
+{ .mfi
+      nop.m 999
+(p6)   fcmp.lt.unc.s1   p8, p9 = FR_Input_X, FR_Two_to_M3
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+//
+//     lf |x| < pi/4, is -2**(-3)< x < 2**(-3) - set p8.
+//     If |x| >= pi/4,
+//     Create the right N for |x| < pi/4 and otherwise
+//     Case 2: Place integer part of N in GP register
+//
+(p7)   fcvt.xf FR_N_float = FR_N_fix
+      nop.i 999 ;;
+}
+
+{ .mmf
+      nop.m 999
+(p7)   getf.sig GR_N_Inc = FR_N_fix
+(p8)   fcmp.gt.s1 p8, p0 = FR_Input_X, FR_Neg_Two_to_M3 ;;
+}
+
+{ .mib
+      nop.m 999
+      nop.i 999
+//
+//     Load 2**(-33), -2**(-33)
+//
+(p8)   br.cond.spnt SINCOS_SMALL_R ;;
+}
+
+{ .mib
+      nop.m 999
+      nop.i 999
+(p6)   br.cond.sptk SINCOS_NORMAL_R ;;
+}
+//
+//     if |x| < pi/4, branch based on |x| < 2**(-3) or otherwise.
+//
+//
+//     In this branch, |x| >= pi/4.
+//
+
+{ .mfi
+       ldfs FR_Neg_Two_to_M67 = [GR_Table_Base1], 8
+//
+//     Load -2**(-67)
+//
+       fnma.s1  FR_s = FR_N_float, FR_P_1, FR_Input_X
+//
+//     w = N * P_2
+//     s = -N * P_1  + Arg
+//
+       add GR_N_Inc = GR_N_Inc, GR_Sin_or_Cos
+}
+
+{ .mfi
+      nop.m 999
+       fma.s1   FR_w = FR_N_float, FR_P_2, f0
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+//
+//     Adjust N_fix by N_inc to determine whether sine or
+//     cosine is being calculated
+//
+       fcmp.lt.unc.s1 p7, p6 = FR_s, FR_Two_to_M33
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+(p7)   fcmp.gt.s1 p7, p6 = FR_s, FR_Neg_Two_to_M33
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+//     Remember x >= pi/4.
+//     Is s <= -2**(-33) or s >= 2**(-33) (p6)
+//     or -2**(-33) < s < 2**(-33) (p7)
+(p6)   fms.s1 FR_r = FR_s, f1, FR_w
+      nop.i 999
+}
+
+{ .mfi
+      nop.m 999
+(p7)   fma.s1 FR_w = FR_N_float, FR_P_3, f0
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+(p7)   fma.s1 FR_U_1 = FR_N_float, FR_P_2, FR_w
+      nop.i 999
+}
+
+{ .mfi
+      nop.m 999
+(p6)   fms.s1 FR_c = FR_s, f1, FR_r
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+//
+//     For big s: r = s - w: No futher reduction is necessary
+//     For small s: w = N * P_3 (change sign) More reduction
+//
+(p6)   fcmp.lt.unc.s1 p8, p9 = FR_r, FR_Two_to_M3
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+(p8)   fcmp.gt.s1 p8, p9 = FR_r, FR_Neg_Two_to_M3
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+(p7)   fms.s1 FR_r = FR_s, f1, FR_U_1
+      nop.i 999
+}
+
+{ .mfb
+      nop.m 999
+//
+//     For big s: Is |r| < 2**(-3)?
+//     For big s: c = S - r
+//     For small s: U_1 = N * P_2 + w
+//
+//     If p8 is set, prepare to branch to Small_R.
+//     If p9 is set, prepare to branch to Normal_R.
+//     For big s,  r is complete here.
+//
+(p6)   fms.s1 FR_c = FR_c, f1, FR_w
+//
+//     For big s: c = c + w (w has not been negated.)
+//     For small s: r = S - U_1
+//
+(p8)   br.cond.spnt SINCOS_SMALL_R ;;
+}
+
+{ .mib
+      nop.m 999
+      nop.i 999
+(p9)   br.cond.sptk SINCOS_NORMAL_R ;;
+}
+
+{ .mfi
+(p7)   add GR_Table_Base1 = 224, GR_Table_Base1
+//
+//     Branch to SINCOS_SMALL_R or SINCOS_NORMAL_R
+//
+(p7)   fms.s1 FR_U_2 = FR_N_float, FR_P_2, FR_U_1
+//
+//     c = S - U_1
+//     r = S_1 * r
+//
+//
+(p7)   extr.u   GR_i_1 = GR_N_Inc, 0, 1
+}
+
+{ .mmi
+      nop.m 999 ;;
+//
+//     Get [i_0,i_1] - two lsb of N_fix_gr.
+//     Do dummy fmpy so inexact is always set.
+//
+(p7)   cmp.eq.unc p9, p10 = 0x0, GR_i_1
+(p7)   extr.u   GR_i_0 = GR_N_Inc, 1, 1 ;;
+}
+//
+//     For small s: U_2 = N * P_2 - U_1
+//     S_1 stored constant - grab the one stored with the
+//     coefficients.
+//
+
+{ .mfi
+(p7)   ldfe FR_S_1 = [GR_Table_Base1], 16
+//
+//     Check if i_1 and i_0  != 0
+//
+(p10)  fma.s1   FR_poly = f0, f1, FR_Neg_Two_to_M67
+(p7)   cmp.eq.unc p11, p12 = 0x0, GR_i_0 ;;
+}
+
+{ .mfi
+      nop.m 999
+(p7)   fms.s1   FR_s = FR_s, f1, FR_r
+      nop.i 999
+}
+
+{ .mfi
+      nop.m 999
+//
+//     S = S - r
+//     U_2 = U_2 + w
+//     load S_1
+//
+(p7)   fma.s1   FR_rsq = FR_r, FR_r, f0
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+(p7)   fma.s1   FR_U_2 = FR_U_2, f1, FR_w
+      nop.i 999
+}
+
+{ .mfi
+      nop.m 999
+//(p7)   fmerge.se FR_Input_X = FR_r, FR_r
+(p7)   fmerge.se FR_prelim = FR_r, FR_r
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+//(p10)  fma.s1 FR_Input_X = f0, f1, f1
+(p10)  fma.s1 FR_prelim = f0, f1, f1
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+//
+//     FR_rsq = r * r
+//     Save r as the result.
+//
+(p7)   fms.s1   FR_c = FR_s, f1, FR_U_1
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+//
+//     if ( i_1 ==0) poly = c + S_1*r*r*r
+//     else Result = 1
+//
+//(p12)  fnma.s1 FR_Input_X = FR_Input_X, f1, f0
+(p12)  fnma.s1 FR_prelim = FR_prelim, f1, f0
+      nop.i 999
+}
+
+{ .mfi
+      nop.m 999
+(p7)   fma.s1   FR_r = FR_S_1, FR_r, f0
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+(p7)   fma.d.s1 FR_S_1 = FR_S_1, FR_S_1, f0
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+//
+//     If i_1 != 0, poly = 2**(-67)
+//
+(p7)   fms.s1 FR_c = FR_c, f1, FR_U_2
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+//
+//     c = c - U_2
+//
+(p9)   fma.s1 FR_poly = FR_r, FR_rsq, FR_c
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+//
+//     i_0 != 0, so Result = -Result
+//
+(p11)  fma.s1 FR_Input_X = FR_prelim, f1, FR_poly
+      nop.i 999 ;;
+}
+
+{ .mfb
+      nop.m 999
+(p12)  fms.s1 FR_Input_X = FR_prelim, f1, FR_poly
+//
+//     if (i_0 == 0),  Result = Result + poly
+//     else            Result = Result - poly
+//
+       br.ret.sptk   b0 ;;
+}
+SINCOS_LARGER_ARG:
+
+{ .mfi
+      nop.m 999
+       fma.s1 FR_N_0 = FR_Input_X, FR_Inv_P_0, f0
+      nop.i 999
+}
+;;
+
+//     This path for argument > 2*24
+//     Adjust table_ptr1 to beginning of table.
+//
+
+{ .mmi
+      nop.m 999
+      addl           GR_Table_Base   = @ltoff(FSINCOS_CONSTANTS#), gp
+      nop.i 999
+}
+;;
+
+{ .mmi
+      ld8 GR_Table_Base = [GR_Table_Base]
+      nop.m 999
+      nop.i 999
+}
+;;
+
+
+//
+//     Point to  2*-14
+//     N_0 = Arg * Inv_P_0
+//
+
+{ .mmi
+       add GR_Table_Base = 688, GR_Table_Base ;;
+       ldfs FR_Two_to_M14 = [GR_Table_Base], 4
+      nop.i 999 ;;
+}
+
+{ .mfi
+       ldfs FR_Neg_Two_to_M14 = [GR_Table_Base], 0
+      nop.f 999
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+//
+//     Load values 2**(-14) and -2**(-14)
+//
+       fcvt.fx.s1 FR_N_0_fix = FR_N_0
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+//
+//     N_0_fix  = integer part of N_0
+//
+       fcvt.xf FR_N_0 = FR_N_0_fix
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+//
+//     Make N_0 the integer part
+//
+       fnma.s1 FR_ArgPrime = FR_N_0, FR_P_0, FR_Input_X
+      nop.i 999
+}
+
+{ .mfi
+      nop.m 999
+       fma.s1 FR_w = FR_N_0, FR_d_1, f0
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+//
+//     Arg' = -N_0 * P_0 + Arg
+//     w  = N_0 * d_1
+//
+       fma.s1 FR_N_float = FR_ArgPrime, FR_Inv_pi_by_2, f0
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+//
+//     N = A' * 2/pi
+//
+       fcvt.fx.s1 FR_N_fix = FR_N_float
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+//
+//     N_fix is the integer part
+//
+       fcvt.xf FR_N_float = FR_N_fix
+      nop.i 999 ;;
+}
+
+{ .mfi
+       getf.sig GR_N_Inc = FR_N_fix
+      nop.f 999
+      nop.i 999 ;;
+}
+
+{ .mii
+      nop.m 999
+      nop.i 999 ;;
+       add GR_N_Inc = GR_N_Inc, GR_Sin_or_Cos ;;
+}
+
+{ .mfi
+      nop.m 999
+//
+//     N is the integer part of the reduced-reduced argument.
+//     Put the integer in a GP register
+//
+       fnma.s1 FR_s = FR_N_float, FR_P_1, FR_ArgPrime
+      nop.i 999
+}
+
+{ .mfi
+      nop.m 999
+       fnma.s1 FR_w = FR_N_float, FR_P_2, FR_w
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+//
+//     s = -N*P_1 + Arg'
+//     w = -N*P_2 + w
+//     N_fix_gr = N_fix_gr + N_inc
+//
+       fcmp.lt.unc.s1 p9, p8 = FR_s, FR_Two_to_M14
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+(p9)   fcmp.gt.s1 p9, p8 = FR_s, FR_Neg_Two_to_M14
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+//
+//     For |s|  > 2**(-14) r = S + w (r complete)
+//     Else       U_hi = N_0 * d_1
+//
+(p9)   fma.s1 FR_V_hi = FR_N_float, FR_P_2, f0
+      nop.i 999
+}
+
+{ .mfi
+      nop.m 999
+(p9)   fma.s1 FR_U_hi = FR_N_0, FR_d_1, f0
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+//
+//     Either S <= -2**(-14) or S >= 2**(-14)
+//     or -2**(-14) < s < 2**(-14)
+//
+(p8)   fma.s1 FR_r = FR_s, f1, FR_w
+      nop.i 999
+}
+
+{ .mfi
+      nop.m 999
+(p9)   fma.s1 FR_w = FR_N_float, FR_P_3, f0
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+//
+//     We need abs of both U_hi and V_hi - don't
+//     worry about switched sign of V_hi.
+//
+(p9)   fms.s1 FR_A = FR_U_hi, f1, FR_V_hi
+      nop.i 999
+}
+
+{ .mfi
+      nop.m 999
+//
+//     Big s: finish up c = (S - r) + w (c complete)
+//     Case 4: A =  U_hi + V_hi
+//     Note: Worry about switched sign of V_hi, so subtract instead of add.
+//
+(p9)   fnma.s1 FR_V_lo = FR_N_float, FR_P_2, FR_V_hi
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+(p9)   fms.s1 FR_U_lo = FR_N_0, FR_d_1, FR_U_hi
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+(p9)   fmerge.s FR_V_hiabs = f0, FR_V_hi
+      nop.i 999
+}
+
+{ .mfi
+      nop.m 999
+//     For big s: c = S - r
+//     For small s do more work: U_lo = N_0 * d_1 - U_hi
+//
+(p9)   fmerge.s FR_U_hiabs = f0, FR_U_hi
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+//
+//     For big s: Is |r| < 2**(-3)
+//     For big s: if p12 set, prepare to branch to Small_R.
+//     For big s: If p13 set, prepare to branch to Normal_R.
+//
+(p8)   fms.s1 FR_c = FR_s, f1, FR_r
+      nop.i 999
+}
+
+{ .mfi
+      nop.m 999
+//
+//     For small S: V_hi = N * P_2
+//                  w = N * P_3
+//     Note the product does not include the (-) as in the writeup
+//     so (-) missing for V_hi and w.
+//
+(p8)   fcmp.lt.unc.s1 p12, p13 = FR_r, FR_Two_to_M3
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+(p12)  fcmp.gt.s1 p12, p13 = FR_r, FR_Neg_Two_to_M3
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+(p8)   fma.s1 FR_c = FR_c, f1, FR_w
+      nop.i 999
+}
+
+{ .mfb
+      nop.m 999
+(p9)   fms.s1 FR_w = FR_N_0, FR_d_2, FR_w
+(p12)  br.cond.spnt SINCOS_SMALL_R ;;
+}
+
+{ .mib
+      nop.m 999
+      nop.i 999
+(p13)  br.cond.sptk SINCOS_NORMAL_R ;;
+}
+
+{ .mfi
+      nop.m 999
+//
+//     Big s: Vector off when |r| < 2**(-3).  Recall that p8 will be true.
+//     The remaining stuff is for Case 4.
+//     Small s: V_lo = N * P_2 + U_hi (U_hi is in place of V_hi in writeup)
+//     Note: the (-) is still missing for V_lo.
+//     Small s: w = w + N_0 * d_2
+//     Note: the (-) is now incorporated in w.
+//
+(p9)   fcmp.ge.unc.s1 p10, p11 = FR_U_hiabs, FR_V_hiabs
+       extr.u   GR_i_1 = GR_N_Inc, 0, 1 ;;
+}
+
+{ .mfi
+      nop.m 999
+//
+//     C_hi = S + A
+//
+(p9)   fma.s1 FR_t = FR_U_lo, f1, FR_V_lo
+       extr.u   GR_i_0 = GR_N_Inc, 1, 1 ;;
+}
+
+{ .mfi
+      nop.m 999
+//
+//     t = U_lo + V_lo
+//
+//
+(p10)  fms.s1 FR_a = FR_U_hi, f1, FR_A
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+(p11)  fma.s1 FR_a = FR_V_hi, f1, FR_A
+      nop.i 999
+}
+;;
+
+{ .mmi
+      nop.m 999
+      addl           GR_Table_Base   = @ltoff(FSINCOS_CONSTANTS#), gp
+      nop.i 999
+}
+;;
+
+{ .mmi
+      ld8 GR_Table_Base = [GR_Table_Base]
+      nop.m 999
+      nop.i 999
+}
+;;
+
+
+{ .mfi
+       add GR_Table_Base = 528, GR_Table_Base
+//
+//     Is U_hiabs >= V_hiabs?
+//
+(p9)   fma.s1 FR_C_hi = FR_s, f1, FR_A
+      nop.i 999 ;;
+}
+
+{ .mmi
+       ldfe FR_C_1 = [GR_Table_Base], 16 ;;
+       ldfe FR_C_2 = [GR_Table_Base], 64
+      nop.i 999 ;;
+}
+
+{ .mmf
+      nop.m 999
+//
+//     c = c + C_lo  finished.
+//     Load  C_2
+//
+       ldfe FR_S_1 = [GR_Table_Base], 16
+//
+//     C_lo = S - C_hi
+//
+       fma.s1 FR_t = FR_t, f1, FR_w ;;
+}
+//
+//     r and c have been computed.
+//     Make sure ftz mode is set - should be automatic when using wre
+//     |r| < 2**(-3)
+//     Get [i_0,i_1] - two lsb of N_fix.
+//     Load S_1
+//
+
+{ .mfi
+       ldfe FR_S_2 = [GR_Table_Base], 64
+//
+//     t = t + w
+//
+(p10)  fms.s1 FR_a = FR_a, f1, FR_V_hi
+       cmp.eq.unc p9, p10 = 0x0, GR_i_0
+}
+
+{ .mfi
+      nop.m 999
+//
+//     For larger u than v: a = U_hi - A
+//     Else a = V_hi - A (do an add to account for missing (-) on V_hi
+//
+       fms.s1 FR_C_lo = FR_s, f1, FR_C_hi
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+(p11)  fms.s1 FR_a = FR_U_hi, f1, FR_a
+       cmp.eq.unc p11, p12 = 0x0, GR_i_1
+}
+
+{ .mfi
+      nop.m 999
+//
+//     If u > v: a = (U_hi - A)  + V_hi
+//     Else      a = (V_hi - A)  + U_hi
+//     In each case account for negative missing from V_hi.
+//
+       fma.s1 FR_C_lo = FR_C_lo, f1, FR_A
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+//
+//     C_lo = (S - C_hi) + A
+//
+       fma.s1 FR_t = FR_t, f1, FR_a
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+//
+//     t = t + a
+//
+       fma.s1 FR_C_lo = FR_C_lo, f1, FR_t
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+//
+//     C_lo = C_lo + t
+//     Adjust Table_Base to beginning of table
+//
+       fma.s1 FR_r = FR_C_hi, f1, FR_C_lo
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+//
+//     Load S_2
+//
+       fma.s1 FR_rsq = FR_r, FR_r, f0
+      nop.i 999
+}
+
+{ .mfi
+      nop.m 999
+//
+//     Table_Base points to C_1
+//     r = C_hi + C_lo
+//
+       fms.s1 FR_c = FR_C_hi, f1, FR_r
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+//
+//     if i_1 ==0: poly = S_2 * FR_rsq + S_1
+//     else        poly = C_2 * FR_rsq + C_1
+//
+//(p11)  fma.s1 FR_Input_X = f0, f1, FR_r
+(p11)  fma.s1 FR_prelim = f0, f1, FR_r
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+//(p12)  fma.s1 FR_Input_X = f0, f1, f1
+(p12)  fma.s1 FR_prelim = f0, f1, f1
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+//
+//     Compute r_cube = FR_rsq * r
+//
+(p11)  fma.s1 FR_poly = FR_rsq, FR_S_2, FR_S_1
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+(p12)  fma.s1 FR_poly = FR_rsq, FR_C_2, FR_C_1
+      nop.i 999
+}
+
+{ .mfi
+      nop.m 999
+//
+//     Compute FR_rsq = r * r
+//     Is i_1 == 0 ?
+//
+       fma.s1 FR_r_cubed = FR_rsq, FR_r, f0
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+//
+//     c = C_hi - r
+//     Load  C_1
+//
+       fma.s1 FR_c = FR_c, f1, FR_C_lo
+      nop.i 999
+}
+
+{ .mfi
+      nop.m 999
+//
+//     if i_1 ==0: poly = r_cube * poly + c
+//     else        poly = FR_rsq * poly
+//
+//(p10)  fms.s1 FR_Input_X = f0, f1, FR_Input_X
+(p10)  fms.s1 FR_prelim = f0, f1, FR_prelim
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+//
+//     if i_1 ==0: Result = r
+//     else        Result = 1.0
+//
+(p11)  fma.s1 FR_poly = FR_r_cubed, FR_poly, FR_c
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+(p12)  fma.s1 FR_poly = FR_rsq, FR_poly, f0
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+//
+//     if i_0 !=0: Result = -Result
+//
+(p9)   fma.s1 FR_Input_X = FR_prelim, f1, FR_poly
+      nop.i 999 ;;
+}
+
+{ .mfb
+      nop.m 999
+(p10)  fms.s1 FR_Input_X = FR_prelim, f1, FR_poly
+//
+//     if i_0 == 0: Result = Result + poly
+//     else         Result = Result - poly
+//
+       br.ret.sptk   b0 ;;
+}
+SINCOS_SMALL_R:
+
+{ .mii
+      nop.m 999
+        extr.u  GR_i_1 = GR_N_Inc, 0, 1 ;;
+//
+//
+//      Compare both i_1 and i_0 with 0.
+//      if i_1 == 0, set p9.
+//      if i_0 == 0, set p11.
+//
+        cmp.eq.unc p9, p10 = 0x0, GR_i_1 ;;
+}
+
+{ .mfi
+      nop.m 999
+        fma.s1 FR_rsq = FR_r, FR_r, f0
+        extr.u  GR_i_0 = GR_N_Inc, 1, 1 ;;
+}
+
+{ .mfi
+      nop.m 999
+//
+//  Z = Z * FR_rsq
+//
+(p10)   fnma.s1 FR_c = FR_c, FR_r, f0
+        cmp.eq.unc p11, p12 = 0x0, GR_i_0
+}
+;;
+
+// ******************************************************************
+// ******************************************************************
+// ******************************************************************
+//      r and c have been computed.
+//      We know whether this is the sine or cosine routine.
+//      Make sure ftz mode is set - should be automatic when using wre
+//      |r| < 2**(-3)
+//
+//      Set table_ptr1 to beginning of constant table.
+//      Get [i_0,i_1] - two lsb of N_fix_gr.
+//
+
+{ .mmi
+      nop.m 999
+      addl           GR_Table_Base   = @ltoff(FSINCOS_CONSTANTS#), gp
+      nop.i 999
+}
+;;
+
+{ .mmi
+      ld8 GR_Table_Base = [GR_Table_Base]
+      nop.m 999
+      nop.i 999
+}
+;;
+
+
+//
+//      Set table_ptr1 to point to S_5.
+//      Set table_ptr1 to point to C_5.
+//      Compute FR_rsq = r * r
+//
+
+{ .mfi
+(p9)    add GR_Table_Base = 672, GR_Table_Base
+(p10)   fmerge.s FR_r = f1, f1
+(p10)   add GR_Table_Base = 592, GR_Table_Base ;;
+}
+//
+//      Set table_ptr1 to point to S_5.
+//      Set table_ptr1 to point to C_5.
+//
+
+{ .mmi
+(p9)    ldfe FR_S_5 = [GR_Table_Base], -16 ;;
+//
+//      if (i_1 == 0) load S_5
+//      if (i_1 != 0) load C_5
+//
+(p9)    ldfe FR_S_4 = [GR_Table_Base], -16
+      nop.i 999 ;;
+}
+
+{ .mmf
+(p10)   ldfe FR_C_5 = [GR_Table_Base], -16
+//
+//      Z = FR_rsq * FR_rsq
+//
+(p9)    ldfe FR_S_3 = [GR_Table_Base], -16
+//
+//      Compute FR_rsq = r * r
+//      if (i_1 == 0) load S_4
+//      if (i_1 != 0) load C_4
+//
+        fma.s1 FR_Z = FR_rsq, FR_rsq, f0 ;;
+}
+//
+//      if (i_1 == 0) load S_3
+//      if (i_1 != 0) load C_3
+//
+
+{ .mmi
+(p9)    ldfe FR_S_2 = [GR_Table_Base], -16 ;;
+//
+//      if (i_1 == 0) load S_2
+//      if (i_1 != 0) load C_2
+//
+(p9)    ldfe FR_S_1 = [GR_Table_Base], -16
+      nop.i 999
+}
+
+{ .mmi
+(p10)   ldfe FR_C_4 = [GR_Table_Base], -16 ;;
+(p10)   ldfe FR_C_3 = [GR_Table_Base], -16
+      nop.i 999 ;;
+}
+
+{ .mmi
+(p10)   ldfe FR_C_2 = [GR_Table_Base], -16 ;;
+(p10)   ldfe FR_C_1 = [GR_Table_Base], -16
+      nop.i 999
+}
+
+{ .mfi
+      nop.m 999
+//
+//      if (i_1 != 0):
+//      poly_lo = FR_rsq * C_5 + C_4
+//      poly_hi = FR_rsq * C_2 + C_1
+//
+(p9)    fma.s1 FR_Z = FR_Z, FR_r, f0
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+//
+//      if (i_1 == 0) load S_1
+//      if (i_1 != 0) load C_1
+//
+(p9)    fma.s1 FR_poly_lo = FR_rsq, FR_S_5, FR_S_4
+      nop.i 999
+}
+
+{ .mfi
+      nop.m 999
+//
+//      c = -c * r
+//      dummy fmpy's to flag inexact.
+//
+(p9)    fma.d.s1 FR_S_4 = FR_S_4, FR_S_4, f0
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+//
+//      poly_lo = FR_rsq * poly_lo + C_3
+//      poly_hi = FR_rsq * poly_hi
+//
+        fma.s1  FR_Z = FR_Z, FR_rsq, f0
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+(p9)    fma.s1 FR_poly_hi = FR_rsq, FR_S_2, FR_S_1
+      nop.i 999
+}
+
+{ .mfi
+      nop.m 999
+//
+//      if (i_1 == 0):
+//      poly_lo = FR_rsq * S_5 + S_4
+//      poly_hi = FR_rsq * S_2 + S_1
+//
+(p10)   fma.s1 FR_poly_lo = FR_rsq, FR_C_5, FR_C_4
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+//
+//      if (i_1 == 0):
+//      Z = Z * r  for only one of the small r cases - not there
+//      in original implementation notes.
+//
+(p9)    fma.s1 FR_poly_lo = FR_rsq, FR_poly_lo, FR_S_3
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+(p10)   fma.s1 FR_poly_hi = FR_rsq, FR_C_2, FR_C_1
+      nop.i 999
+}
+
+{ .mfi
+      nop.m 999
+(p10)   fma.d.s1 FR_C_1 = FR_C_1, FR_C_1, f0
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+(p9)    fma.s1 FR_poly_hi = FR_poly_hi, FR_rsq, f0
+      nop.i 999
+}
+
+{ .mfi
+      nop.m 999
+//
+//      poly_lo = FR_rsq * poly_lo + S_3
+//      poly_hi = FR_rsq * poly_hi
+//
+(p10)   fma.s1 FR_poly_lo = FR_rsq, FR_poly_lo, FR_C_3
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+(p10)   fma.s1 FR_poly_hi = FR_poly_hi, FR_rsq, f0
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+//
+//  if (i_1 == 0): dummy fmpy's to flag inexact
+//  r = 1
+//
+(p9)    fma.s1 FR_poly_hi = FR_r, FR_poly_hi, f0
+      nop.i 999
+}
+
+{ .mfi
+      nop.m 999
+//
+//  poly_hi = r * poly_hi
+//
+        fma.s1  FR_poly = FR_Z, FR_poly_lo, FR_c
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+(p12)   fms.s1  FR_r = f0, f1, FR_r
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+//
+//      poly_hi = Z * poly_lo + c
+//  if i_0 == 1: r = -r
+//
+        fma.s1  FR_poly = FR_poly, f1, FR_poly_hi
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+(p12)   fms.s1 FR_Input_X = FR_r, f1, FR_poly
+      nop.i 999
+}
+
+{ .mfb
+      nop.m 999
+//
+//      poly = poly + poly_hi
+//
+(p11)   fma.s1 FR_Input_X = FR_r, f1, FR_poly
+//
+//      if (i_0 == 0) Result = r + poly
+//      if (i_0 != 0) Result = r - poly
+//
+       br.ret.sptk   b0 ;;
+}
+SINCOS_NORMAL_R:
+
+{ .mii
+      nop.m 999
+        extr.u  GR_i_1 = GR_N_Inc, 0, 1 ;;
+//
+//      Set table_ptr1 and table_ptr2 to base address of
+//      constant table.
+        cmp.eq.unc p9, p10 = 0x0, GR_i_1 ;;
+}
+
+{ .mfi
+      nop.m 999
+        fma.s1  FR_rsq = FR_r, FR_r, f0
+        extr.u  GR_i_0 = GR_N_Inc, 1, 1 ;;
+}
+
+{ .mfi
+      nop.m 999
+        frcpa.s1 FR_r_hi, p6 = f1, FR_r
+        cmp.eq.unc p11, p12 = 0x0, GR_i_0
+}
+;;
+
+// ******************************************************************
+// ******************************************************************
+// ******************************************************************
+//
+//      r and c have been computed.
+//      We known whether this is the sine or cosine routine.
+//      Make sure ftz mode is set - should be automatic when using wre
+//      Get [i_0,i_1] - two lsb of N_fix_gr alone.
+//
+
+{ .mmi
+      nop.m 999
+      addl           GR_Table_Base   = @ltoff(FSINCOS_CONSTANTS#), gp
+      nop.i 999
+}
+;;
+
+{ .mmi
+      ld8 GR_Table_Base = [GR_Table_Base]
+      nop.m 999
+      nop.i 999
+}
+;;
+
+
+{ .mfi
+(p10)   add GR_Table_Base = 384, GR_Table_Base
+//(p12)   fms.s1 FR_Input_X = f0, f1, f1
+(p12)   fms.s1 FR_prelim = f0, f1, f1
+(p9)    add GR_Table_Base = 224, GR_Table_Base ;;
+}
+
+{ .mmf
+      nop.m 999
+(p10)   ldfe FR_QQ_8 = [GR_Table_Base], 16
+//
+//      if (i_1==0) poly = poly * FR_rsq + PP_1_lo
+//      else        poly = FR_rsq * poly
+//
+//(p11)   fma.s1 FR_Input_X = f0, f1, f1 ;;
+(p11)   fma.s1 FR_prelim = f0, f1, f1 ;;
+}
+
+{ .mmf
+(p10)   ldfe FR_QQ_7 = [GR_Table_Base], 16
+//
+//  Adjust table pointers based on i_0
+//      Compute rsq = r * r
+//
+(p9)    ldfe FR_PP_8 = [GR_Table_Base], 16
+        fma.s1 FR_r_cubed = FR_r, FR_rsq, f0 ;;
+}
+
+{ .mmf
+(p9)    ldfe FR_PP_7 = [GR_Table_Base], 16
+(p10)   ldfe FR_QQ_6 = [GR_Table_Base], 16
+//
+//      Load PP_8 and QQ_8; PP_7 and QQ_7
+//
+        frcpa.s1 FR_r_hi, p6 = f1, FR_r_hi ;;
+}
+//
+//      if (i_1==0) poly =   PP_7 + FR_rsq * PP_8.
+//      else        poly =   QQ_7 + FR_rsq * QQ_8.
+//
+
+{ .mmb
+(p9)    ldfe FR_PP_6 = [GR_Table_Base], 16
+(p10)   ldfe FR_QQ_5 = [GR_Table_Base], 16
+      nop.b 999 ;;
+}
+
+{ .mmb
+(p9)    ldfe FR_PP_5 = [GR_Table_Base], 16
+(p10)   ldfe FR_S_1 = [GR_Table_Base], 16
+      nop.b 999 ;;
+}
+
+{ .mmb
+(p10)   ldfe FR_QQ_1 = [GR_Table_Base], 16
+(p9)    ldfe FR_C_1 = [GR_Table_Base], 16
+      nop.b 999 ;;
+}
+
+{ .mmi
+(p10)   ldfe FR_QQ_4 = [GR_Table_Base], 16 ;;
+(p9)    ldfe FR_PP_1 = [GR_Table_Base], 16
+      nop.i 999 ;;
+}
+
+{ .mmf
+(p10)   ldfe FR_QQ_3 = [GR_Table_Base], 16
+//
+//      if (i_1=0) corr = corr + c*c
+//      else       corr = corr * c
+//
+(p9)    ldfe FR_PP_4 = [GR_Table_Base], 16
+(p10)   fma.s1 FR_poly = FR_rsq, FR_QQ_8, FR_QQ_7 ;;
+}
+//
+//      if (i_1=0) poly = rsq * poly + PP_5
+//      else       poly = rsq * poly + QQ_5
+//      Load PP_4 or QQ_4
+//
+
+{ .mmf
+(p9)    ldfe FR_PP_3 = [GR_Table_Base], 16
+(p10)   ldfe FR_QQ_2 = [GR_Table_Base], 16
+//
+//      r_hi =   frcpa(frcpa(r)).
+//      r_cube = r * FR_rsq.
+//
+(p9)    fma.s1 FR_poly = FR_rsq, FR_PP_8, FR_PP_7 ;;
+}
+//
+//      Do dummy multiplies so inexact is always set.
+//
+
+{ .mfi
+(p9)    ldfe FR_PP_2 = [GR_Table_Base], 16
+//
+//      r_lo = r - r_hi
+//
+(p9)    fma.s1 FR_U_lo = FR_r_hi, FR_r_hi, f0
+      nop.i 999 ;;
+}
+
+{ .mmf
+      nop.m 999
+(p9)    ldfe FR_PP_1_lo = [GR_Table_Base], 16
+(p10)   fma.s1 FR_corr = FR_S_1, FR_r_cubed, FR_r
+}
+
+{ .mfi
+      nop.m 999
+(p10)   fma.s1 FR_poly = FR_rsq, FR_poly, FR_QQ_6
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+//
+//      if (i_1=0) U_lo = r_hi * r_hi
+//      else       U_lo = r_hi + r
+//
+(p9)    fma.s1 FR_corr = FR_C_1, FR_rsq, f0
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+//
+//      if (i_1=0) corr = C_1 * rsq
+//      else       corr = S_1 * r_cubed + r
+//
+(p9)    fma.s1 FR_poly = FR_rsq, FR_poly, FR_PP_6
+      nop.i 999
+}
+
+{ .mfi
+      nop.m 999
+(p10)   fma.s1 FR_U_lo = FR_r_hi, f1, FR_r
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+//
+//      if (i_1=0) U_hi = r_hi + U_hi
+//      else       U_hi = QQ_1 * U_hi + 1
+//
+(p9)    fma.s1 FR_U_lo = FR_r, FR_r_hi, FR_U_lo
+      nop.i 999
+}
+
+{ .mfi
+      nop.m 999
+//
+//      U_hi = r_hi * r_hi
+//
+        fms.s1 FR_r_lo = FR_r, f1, FR_r_hi
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+//
+//      Load PP_1, PP_6, PP_5, and C_1
+//      Load QQ_1, QQ_6, QQ_5, and S_1
+//
+        fma.s1 FR_U_hi = FR_r_hi, FR_r_hi, f0
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+(p10)   fma.s1 FR_poly = FR_rsq, FR_poly, FR_QQ_5
+      nop.i 999
+}
+
+{ .mfi
+      nop.m 999
+(p10)   fnma.s1 FR_corr = FR_corr, FR_c, f0
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+//
+//      if (i_1=0) U_lo = r * r_hi + U_lo
+//      else       U_lo = r_lo * U_lo
+//
+(p9)    fma.s1 FR_corr = FR_corr, FR_c, FR_c
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+(p9)    fma.s1 FR_poly = FR_rsq, FR_poly, FR_PP_5
+      nop.i 999
+}
+
+{ .mfi
+      nop.m 999
+//
+//      if (i_1 =0) U_hi = r + U_hi
+//      if (i_1 =0) U_lo = r_lo * U_lo
+//
+//
+(p9)    fma.d.s1 FR_PP_5 = FR_PP_5, FR_PP_4, f0
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+(p9)    fma.s1 FR_U_lo = FR_r, FR_r, FR_U_lo
+      nop.i 999
+}
+
+{ .mfi
+      nop.m 999
+(p10)   fma.s1 FR_U_lo = FR_r_lo, FR_U_lo, f0
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+//
+//      if (i_1=0) poly = poly * rsq + PP_6
+//      else       poly = poly * rsq + QQ_6
+//
+(p9)    fma.s1 FR_U_hi = FR_r_hi, FR_U_hi, f0
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+(p10)   fma.s1 FR_poly = FR_rsq, FR_poly, FR_QQ_4
+      nop.i 999
+}
+
+{ .mfi
+      nop.m 999
+(p10)   fma.s1 FR_U_hi = FR_QQ_1, FR_U_hi, f1
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+(p10)   fma.d.s1 FR_QQ_5 = FR_QQ_5, FR_QQ_5, f0
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+//
+//      if (i_1!=0) U_hi = PP_1 * U_hi
+//      if (i_1!=0) U_lo = r * r  + U_lo
+//      Load PP_3 or QQ_3
+//
+(p9)    fma.s1 FR_poly = FR_rsq, FR_poly, FR_PP_4
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+(p9)    fma.s1 FR_U_lo = FR_r_lo, FR_U_lo, f0
+      nop.i 999
+}
+
+{ .mfi
+      nop.m 999
+(p10)   fma.s1 FR_U_lo = FR_QQ_1,FR_U_lo, f0
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+(p9)    fma.s1 FR_U_hi = FR_PP_1, FR_U_hi, f0
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+(p10)   fma.s1 FR_poly = FR_rsq, FR_poly, FR_QQ_3
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+//
+//      Load PP_2, QQ_2
+//
+(p9)    fma.s1 FR_poly = FR_rsq, FR_poly, FR_PP_3
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+//
+//      if (i_1==0) poly = FR_rsq * poly  + PP_3
+//      else        poly = FR_rsq * poly  + QQ_3
+//      Load PP_1_lo
+//
+(p9)    fma.s1 FR_U_lo = FR_PP_1, FR_U_lo, f0
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+//
+//      if (i_1 =0) poly = poly * rsq + pp_r4
+//      else        poly = poly * rsq + qq_r4
+//
+(p9)    fma.s1 FR_U_hi = FR_r, f1, FR_U_hi
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+(p10)   fma.s1 FR_poly = FR_rsq, FR_poly, FR_QQ_2
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+//
+//      if (i_1==0) U_lo =  PP_1_hi * U_lo
+//      else        U_lo =  QQ_1 * U_lo
+//
+(p9)    fma.s1 FR_poly = FR_rsq, FR_poly, FR_PP_2
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+//
+//      if (i_0==0)  Result = 1
+//      else         Result = -1
+//
+        fma.s1 FR_V = FR_U_lo, f1, FR_corr
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+(p10)   fma.s1 FR_poly = FR_rsq, FR_poly, f0
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+//
+//      if (i_1==0) poly =  FR_rsq * poly + PP_2
+//      else poly =  FR_rsq * poly + QQ_2
+//
+(p9)    fma.s1 FR_poly = FR_rsq, FR_poly, FR_PP_1_lo
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+(p10)   fma.s1 FR_poly = FR_rsq, FR_poly, f0
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+//
+//      V = U_lo + corr
+//
+(p9)    fma.s1 FR_poly = FR_r_cubed, FR_poly, f0
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+//
+//      if (i_1==0) poly = r_cube * poly
+//      else        poly = FR_rsq * poly
+//
+        fma.s1  FR_V = FR_poly, f1, FR_V
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+//(p12)   fms.s1 FR_Input_X = FR_Input_X, FR_U_hi, FR_V
+(p12)   fms.s1 FR_Input_X = FR_prelim, FR_U_hi, FR_V
+      nop.i 999
+}
+
+{ .mfb
+      nop.m 999
+//
+//      V = V + poly
+//
+//(p11)   fma.s1 FR_Input_X = FR_Input_X, FR_U_hi, FR_V
+(p11)   fma.s1 FR_Input_X = FR_prelim, FR_U_hi, FR_V
+//
+//      if (i_0==0) Result = Result * U_hi + V
+//      else        Result = Result * U_hi - V
+//
+       br.ret.sptk   b0 ;;
+}
+
+//
+//      If cosine, FR_Input_X = 1
+//      If sine, FR_Input_X = +/-Zero (Input FR_Input_X)
+//      Results are exact, no exceptions
+//
+SINCOS_ZERO:
+
+{ .mmb
+        cmp.eq.unc p6, p7 = 0x1, GR_Sin_or_Cos
+      nop.m 999
+      nop.b 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+(p7)    fmerge.s FR_Input_X = FR_Input_X, FR_Input_X
+      nop.i 999
+}
+
+{ .mfb
+      nop.m 999
+(p6)    fmerge.s FR_Input_X = f1, f1
+       br.ret.sptk   b0 ;;
+}
+
+SINCOS_SPECIAL:
+
+//
+//      Path for Arg = +/- QNaN, SNaN, Inf
+//      Invalid can be raised. SNaNs
+//      become QNaNs
+//
+
+{ .mfb
+      nop.m 999
+        fmpy.s1 FR_Input_X = FR_Input_X, f0
+        br.ret.sptk   b0 ;;
+}
+GLOBAL_LIBM_END(__libm_cos_large)
+
+// *******************************************************************
+// *******************************************************************
+// *******************************************************************
+//
+//     Special Code to handle very large argument case.
+//     Call int __libm_pi_by_2_reduce(x,r,c) for |arguments| >= 2**63
+//     The interface is custom:
+//       On input:
+//         (Arg or x) is in f8
+//       On output:
+//         r is in f8
+//         c is in f9
+//         N is in r8
+//     Be sure to allocate at least 2 GP registers as output registers for
+//     __libm_pi_by_2_reduce.  This routine uses r49-50. These are used as
+//     scratch registers within the __libm_pi_by_2_reduce routine (for speed).
+//
+//     We know also that __libm_pi_by_2_reduce preserves f10-15, f71-127.  We
+//     use this to eliminate save/restore of key fp registers in this calling
+//     function.
+//
+// *******************************************************************
+// *******************************************************************
+// *******************************************************************
+
+LOCAL_LIBM_ENTRY(__libm_callout_2)
+SINCOS_ARG_TOO_LARGE:
+
+.prologue
+//      Readjust Table ptr
+{ .mfi
+        adds  GR_Table_Base1 = -16, GR_Table_Base1
+        nop.f 999
+.save   ar.pfs,GR_SAVE_PFS
+        mov  GR_SAVE_PFS=ar.pfs                 // Save ar.pfs
+};;
+
+{ .mmi
+        ldfs FR_Two_to_M3 = [GR_Table_Base1],4
+        mov GR_SAVE_GP=gp                       // Save gp
+.save   b0, GR_SAVE_B0
+        mov GR_SAVE_B0=b0                       // Save b0
+};;
+
+.body
+//
+//     Call argument reduction with x in f8
+//     Returns with N in r8, r in f8, c in f9
+//     Assumes f71-127 are preserved across the call
+//
+{ .mib
+        ldfs FR_Neg_Two_to_M3 = [GR_Table_Base1],0
+        nop.i 0
+        br.call.sptk b0=__libm_pi_by_2_reduce#
+};;
+
+{ .mfi
+        add   GR_N_Inc = GR_Sin_or_Cos,r8
+        fcmp.lt.unc.s1  p6, p0 = FR_r, FR_Two_to_M3
+        mov   b0 = GR_SAVE_B0                  // Restore return address
+};;
+
+{ .mfi
+        mov   gp = GR_SAVE_GP                  // Restore gp
+(p6)    fcmp.gt.unc.s1  p6, p0 = FR_r, FR_Neg_Two_to_M3
+        mov   ar.pfs = GR_SAVE_PFS             // Restore ar.pfs
+};;
+
+{ .mbb
+        nop.m 999
+(p6)    br.cond.spnt SINCOS_SMALL_R            // Branch if |r| < 1/4
+        br.cond.sptk SINCOS_NORMAL_R ;;        // Branch if 1/4 <= |r| < pi/4
+}
+
+LOCAL_LIBM_END(__libm_callout_2)
+
+.type   __libm_pi_by_2_reduce#,@function
+.global __libm_pi_by_2_reduce#
+
diff --git a/sysdeps/ia64/fpu/libm_sincosf.S b/sysdeps/ia64/fpu/libm_sincosf.S
new file mode 100644
index 0000000000..c4783aca3a
--- /dev/null
+++ b/sysdeps/ia64/fpu/libm_sincosf.S
@@ -0,0 +1,744 @@
+.file "libm_sincosf.s"
+
+
+// Copyright (c) 2002 - 2003, Intel Corporation
+// All rights reserved.
+//
+// Contributed 2002 by the Intel Numerics Group, Intel Corporation
+//
+// Redistribution and use in source and binary forms, with or without
+// modification, are permitted provided that the following conditions are
+// met:
+//
+// * Redistributions of source code must retain the above copyright
+// notice, this list of conditions and the following disclaimer.
+//
+// * Redistributions in binary form must reproduce the above copyright
+// notice, this list of conditions and the following disclaimer in the
+// documentation and/or other materials provided with the distribution.
+//
+// * The name of Intel Corporation may not be used to endorse or promote
+// products derived from this software without specific prior written
+// permission.
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
+// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
+// OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+//
+// Intel Corporation is the author of this code, and requests that all
+// problem reports or change requests be submitted to it directly at
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
+//
+// History
+//==============================================================
+// 02/01/02 Initial version
+// 02/18/02 Large arguments processing routine is excluded.
+//          External interface entry points are added
+// 02/26/02 Added temporary return of results in r8, r9
+// 03/13/02 Corrected restore of predicate registers
+// 03/19/02 Added stack unwind around call to __libm_cisf_large
+// 09/05/02 Work range is widened by reduction strengthen (2 parts of Pi/16)
+// 02/10/03 Reordered header: .section, .global, .proc, .align
+
+// API
+//==============================================================
+// 1) float _Complex cisf(float)
+// 2) void sincosf(float, float*s, float*c)
+// 3) __libm_sincosf - internal LIBM function, that accepts
+//    argument in f8 and returns cosine through f8, sine through f9
+
+//
+// Overview of operation
+//==============================================================
+//
+// Step 1
+// ======
+// Reduce x to region -1/2*pi/2^k ===== 0 ===== +1/2*pi/2^k  where k=4
+//    divide x by pi/2^k.
+//    Multiply by 2^k/pi.
+//    nfloat = Round result to integer (round-to-nearest)
+//
+// r = x -  nfloat * pi/2^k
+//    Do this as (x -  nfloat * HIGH(pi/2^k)) - nfloat * LOW(pi/2^k) for increased accuracy.
+//    pi/2^k is stored as two numbers that when added make pi/2^k.
+//       pi/2^k = HIGH(pi/2^k) + LOW(pi/2^k)
+//    HIGH part is rounded to zero, LOW - to nearest
+//
+// x = (nfloat * pi/2^k) + r
+//    r is small enough that we can use a polynomial approximation
+//    and is referred to as the reduced argument.
+//
+// Step 3
+// ======
+// Take the unreduced part and remove the multiples of 2pi.
+// So nfloat = nfloat (with lower k+1 bits cleared) + lower k+1 bits
+//
+//    nfloat (with lower k+1 bits cleared) is a multiple of 2^(k+1)
+//    N * 2^(k+1)
+//    nfloat * pi/2^k = N * 2^(k+1) * pi/2^k + (lower k+1 bits) * pi/2^k
+//    nfloat * pi/2^k = N * 2 * pi + (lower k+1 bits) * pi/2^k
+//    nfloat * pi/2^k = N2pi + M * pi/2^k
+//
+//
+// Sin(x) = Sin((nfloat * pi/2^k) + r)
+//        = Sin(nfloat * pi/2^k) * Cos(r) + Cos(nfloat * pi/2^k) * Sin(r)
+//
+//          Sin(nfloat * pi/2^k) = Sin(N2pi + Mpi/2^k)
+//                               = Sin(N2pi)Cos(Mpi/2^k) + Cos(N2pi)Sin(Mpi/2^k)
+//                               = Sin(Mpi/2^k)
+//
+//          Cos(nfloat * pi/2^k) = Cos(N2pi + Mpi/2^k)
+//                               = Cos(N2pi)Cos(Mpi/2^k) + Sin(N2pi)Sin(Mpi/2^k)
+//                               = Cos(Mpi/2^k)
+//
+// Sin(x) = Sin(Mpi/2^k) Cos(r) + Cos(Mpi/2^k) Sin(r)
+//
+//
+// Step 4
+// ======
+// 0 <= M < 2^(k+1)
+// There are 2^(k+1) Sin entries in a table.
+// There are 2^(k+1) Cos entries in a table.
+//
+// Get Sin(Mpi/2^k) and Cos(Mpi/2^k) by table lookup.
+//
+//
+// Step 5
+// ======
+// Calculate Cos(r) and Sin(r) by polynomial approximation.
+//
+// Cos(r) = 1 + r^2 q1  + r^4 q2 = Series for Cos
+// Sin(r) = r + r^3 p1  + r^5 p2 = Series for Sin
+//
+// and the coefficients q1, q2 and p1, p2 are stored in a table
+//
+//
+// Calculate
+// Sin(x) = Sin(Mpi/2^k) Cos(r) + Cos(Mpi/2^k) Sin(r)
+//
+// as follows
+//
+//    S[m] = Sin(Mpi/2^k) and C[m] = Cos(Mpi/2^k)
+//    rsq = r*r
+//
+//
+//    P = p1 + r^2p2
+//    Q = q1 + r^2q2
+//
+//       rcub = r * rsq
+//       Sin(r) = r + rcub * P
+//              = r + r^3p1  + r^5p2 = Sin(r)
+//
+//       P =  r + rcub * P
+//
+//    Answer = S[m] Cos(r) + C[m] P
+//
+//       Cos(r) = 1 + rsq Q
+//       Cos(r) = 1 + r^2 Q
+//       Cos(r) = 1 + r^2 (q1 + r^2q2)
+//       Cos(r) = 1 + r^2q1 + r^4q2
+//
+//       S[m] Cos(r) = S[m](1 + rsq Q)
+//       S[m] Cos(r) = S[m] + S[m] rsq Q
+//       S[m] Cos(r) = S[m] + s_rsq Q
+//       Q           = S[m] + s_rsq Q
+//
+// Then,
+//
+//    Answer = Q + C[m] P
+
+
+// Registers used
+//==============================================================
+// general input registers:
+// r14 -> r19
+// r32 -> r49
+
+// predicate registers used:
+// p6 -> p14
+
+// floating-point registers used
+// f9 -> f15
+// f32 -> f100
+
+// Assembly macros
+//==============================================================
+
+cisf_Arg                     = f8
+
+cisf_Sin_res                 = f9
+cisf_Cos_res                 = f8
+
+
+cisf_NORM_f8                 = f10
+cisf_W                       = f11
+cisf_int_Nfloat              = f12
+cisf_Nfloat                  = f13
+
+cisf_r                       = f14
+cisf_r_exact                 = f68
+cisf_rsq                     = f15
+cisf_rcub                    = f32
+
+cisf_Inv_Pi_by_16            = f33
+cisf_Pi_by_16_hi             = f34
+cisf_Pi_by_16_lo             = f35
+
+cisf_Inv_Pi_by_64            = f36
+cisf_Pi_by_64_hi             = f37
+cisf_Pi_by_64_lo             = f38
+
+
+cisf_P1                      = f39
+cisf_Q1                      = f40
+cisf_P2                      = f41
+cisf_Q2                      = f42
+cisf_P3                      = f43
+cisf_Q3                      = f44
+cisf_P4                      = f45
+cisf_Q4                      = f46
+
+cisf_P_temp1                 = f47
+cisf_P_temp2                 = f48
+
+cisf_Q_temp1                 = f49
+cisf_Q_temp2                 = f50
+
+cisf_P                       = f51
+
+cisf_SIG_INV_PI_BY_16_2TO61  = f52
+cisf_RSHF_2TO61              = f53
+cisf_RSHF                    = f54
+cisf_2TOM61                  = f55
+cisf_NFLOAT                  = f56
+cisf_W_2TO61_RSH             = f57
+
+cisf_tmp                     = f58
+
+cisf_Sm_sin                  = f59
+cisf_Cm_sin                  = f60
+
+cisf_Sm_cos                  = f61
+cisf_Cm_cos                  = f62
+
+cisf_srsq_sin                = f63
+cisf_srsq_cos                = f64
+
+cisf_Q_sin                   = f65
+cisf_Q_cos                   = f66
+cisf_Q                       = f67
+
+/////////////////////////////////////////////////////////////
+
+cisf_pResSin                 = r33
+cisf_pResCos                 = r34
+
+cisf_exp_limit               = r35
+cisf_r_signexp               = r36
+cisf_AD_beta_table           = r37
+cisf_r_sincos                = r38
+
+cisf_r_exp                   = r39
+cisf_r_17_ones               = r40
+
+cisf_GR_sig_inv_pi_by_16     = r14
+cisf_GR_rshf_2to61           = r15
+cisf_GR_rshf                 = r16
+cisf_GR_exp_2tom61           = r17
+cisf_GR_n                    = r18
+
+cisf_GR_n_sin                = r19
+cisf_GR_m_sin                = r41
+cisf_GR_32m_sin              = r41
+
+cisf_GR_n_cos                = r42
+cisf_GR_m_cos                = r43
+cisf_GR_32m_cos              = r43
+
+cisf_AD_2_sin                = r44
+cisf_AD_2_cos                = r45
+
+cisf_gr_tmp                  = r46
+GR_SAVE_B0                   = r47
+GR_SAVE_GP                   = r48
+rB0_SAVED                    = r49
+GR_SAVE_PFS                  = r50
+GR_SAVE_PR                   = r51
+cisf_AD_1                    = r52
+
+RODATA
+
+.align 16
+// Pi/16 parts
+LOCAL_OBJECT_START(double_cisf_pi)
+   data8 0xC90FDAA22168C234, 0x00003FFC // pi/16 1st part
+   data8 0xC4C6628B80DC1CD1, 0x00003FBC // pi/16 2nd part
+LOCAL_OBJECT_END(double_cisf_pi)
+
+// Coefficients for polynomials
+LOCAL_OBJECT_START(double_cisf_pq_k4)
+   data8 0x3F810FABB668E9A2 // P2
+   data8 0x3FA552E3D6DE75C9 // Q2
+   data8 0xBFC555554447BC7F // P1
+   data8 0xBFDFFFFFC447610A // Q1
+LOCAL_OBJECT_END(double_cisf_pq_k4)
+
+// Sincos table (S[m], C[m])
+LOCAL_OBJECT_START(double_sin_cos_beta_k4)
+    data8 0x0000000000000000 // sin ( 0 Pi / 16 )
+    data8 0x3FF0000000000000 // cos ( 0 Pi / 16 )
+//
+    data8 0x3FC8F8B83C69A60B // sin ( 1 Pi / 16 )
+    data8 0x3FEF6297CFF75CB0 // cos ( 1 Pi / 16 )
+//
+    data8 0x3FD87DE2A6AEA963 // sin ( 2 Pi / 16 )
+    data8 0x3FED906BCF328D46 // cos ( 2 Pi / 16 )
+//
+    data8 0x3FE1C73B39AE68C8 // sin ( 3 Pi / 16 )
+    data8 0x3FEA9B66290EA1A3 // cos ( 3 Pi / 16 )
+//
+    data8 0x3FE6A09E667F3BCD // sin ( 4 Pi / 16 )
+    data8 0x3FE6A09E667F3BCD // cos ( 4 Pi / 16 )
+//
+    data8 0x3FEA9B66290EA1A3 // sin ( 5 Pi / 16 )
+    data8 0x3FE1C73B39AE68C8 // cos ( 5 Pi / 16 )
+//
+    data8 0x3FED906BCF328D46 // sin ( 6 Pi / 16 )
+    data8 0x3FD87DE2A6AEA963 // cos ( 6 Pi / 16 )
+//
+    data8 0x3FEF6297CFF75CB0 // sin ( 7 Pi / 16 )
+    data8 0x3FC8F8B83C69A60B // cos ( 7 Pi / 16 )
+//
+    data8 0x3FF0000000000000 // sin ( 8 Pi / 16 )
+    data8 0x0000000000000000 // cos ( 8 Pi / 16 )
+//
+    data8 0x3FEF6297CFF75CB0 // sin ( 9 Pi / 16 )
+    data8 0xBFC8F8B83C69A60B // cos ( 9 Pi / 16 )
+//
+    data8 0x3FED906BCF328D46 // sin ( 10 Pi / 16 )
+    data8 0xBFD87DE2A6AEA963 // cos ( 10 Pi / 16 )
+//
+    data8 0x3FEA9B66290EA1A3 // sin ( 11 Pi / 16 )
+    data8 0xBFE1C73B39AE68C8 // cos ( 11 Pi / 16 )
+//
+    data8 0x3FE6A09E667F3BCD // sin ( 12 Pi / 16 )
+    data8 0xBFE6A09E667F3BCD // cos ( 12 Pi / 16 )
+//
+    data8 0x3FE1C73B39AE68C8 // sin ( 13 Pi / 16 )
+    data8 0xBFEA9B66290EA1A3 // cos ( 13 Pi / 16 )
+//
+    data8 0x3FD87DE2A6AEA963 // sin ( 14 Pi / 16 )
+    data8 0xBFED906BCF328D46 // cos ( 14 Pi / 16 )
+//
+    data8 0x3FC8F8B83C69A60B // sin ( 15 Pi / 16 )
+    data8 0xBFEF6297CFF75CB0 // cos ( 15 Pi / 16 )
+//
+    data8 0x0000000000000000 // sin ( 16 Pi / 16 )
+    data8 0xBFF0000000000000 // cos ( 16 Pi / 16 )
+//
+    data8 0xBFC8F8B83C69A60B // sin ( 17 Pi / 16 )
+    data8 0xBFEF6297CFF75CB0 // cos ( 17 Pi / 16 )
+//
+    data8 0xBFD87DE2A6AEA963 // sin ( 18 Pi / 16 )
+    data8 0xBFED906BCF328D46 // cos ( 18 Pi / 16 )
+//
+    data8 0xBFE1C73B39AE68C8 // sin ( 19 Pi / 16 )
+    data8 0xBFEA9B66290EA1A3 // cos ( 19 Pi / 16 )
+//
+    data8 0xBFE6A09E667F3BCD // sin ( 20 Pi / 16 )
+    data8 0xBFE6A09E667F3BCD // cos ( 20 Pi / 16 )
+//
+    data8 0xBFEA9B66290EA1A3 // sin ( 21 Pi / 16 )
+    data8 0xBFE1C73B39AE68C8 // cos ( 21 Pi / 16 )
+//
+    data8 0xBFED906BCF328D46 // sin ( 22 Pi / 16 )
+    data8 0xBFD87DE2A6AEA963 // cos ( 22 Pi / 16 )
+//
+    data8 0xBFEF6297CFF75CB0 // sin ( 23 Pi / 16 )
+    data8 0xBFC8F8B83C69A60B // cos ( 23 Pi / 16 )
+//
+    data8 0xBFF0000000000000 // sin ( 24 Pi / 16 )
+    data8 0x0000000000000000 // cos ( 24 Pi / 16 )
+//
+    data8 0xBFEF6297CFF75CB0 // sin ( 25 Pi / 16 )
+    data8 0x3FC8F8B83C69A60B // cos ( 25 Pi / 16 )
+//
+    data8 0xBFED906BCF328D46 // sin ( 26 Pi / 16 )
+    data8 0x3FD87DE2A6AEA963 // cos ( 26 Pi / 16 )
+//
+    data8 0xBFEA9B66290EA1A3 // sin ( 27 Pi / 16 )
+    data8 0x3FE1C73B39AE68C8 // cos ( 27 Pi / 16 )
+//
+    data8 0xBFE6A09E667F3BCD // sin ( 28 Pi / 16 )
+    data8 0x3FE6A09E667F3BCD // cos ( 28 Pi / 16 )
+//
+    data8 0xBFE1C73B39AE68C8 // sin ( 29 Pi / 16 )
+    data8 0x3FEA9B66290EA1A3 // cos ( 29 Pi / 16 )
+//
+    data8 0xBFD87DE2A6AEA963 // sin ( 30 Pi / 16 )
+    data8 0x3FED906BCF328D46 // cos ( 30 Pi / 16 )
+//
+    data8 0xBFC8F8B83C69A60B // sin ( 31 Pi / 16 )
+    data8 0x3FEF6297CFF75CB0 // cos ( 31 Pi / 16 )
+//
+    data8 0x0000000000000000 // sin ( 32 Pi / 16 )
+    data8 0x3FF0000000000000 // cos ( 32 Pi / 16 )
+LOCAL_OBJECT_END(double_sin_cos_beta_k4)
+
+.section .text
+
+GLOBAL_IEEE754_ENTRY(sincosf)
+// cis_GR_sig_inv_pi_by_16 = significand of 16/pi
+{ .mlx
+      alloc         GR_SAVE_PFS              = ar.pfs, 0, 21, 0, 0
+      movl          cisf_GR_sig_inv_pi_by_16 = 0xA2F9836E4E44152A // 16/pi signd
+                                             
+}
+// cis_GR_rshf_2to61 = 1.1000 2^(63+63-2)
+{ .mlx
+      addl          cisf_AD_1           = @ltoff(double_cisf_pi), gp
+      movl          cisf_GR_rshf_2to61  = 0x47b8000000000000 // 1.1 2^(63+63-2)
+};;
+
+{ .mfi
+      ld8           cisf_AD_1           = [cisf_AD_1]
+      fnorm.s1      cisf_NORM_f8        = cisf_Arg
+      cmp.eq        p13, p14            = r0, r0 // p13 set for sincos
+}
+// cis_GR_exp_2tom61 = exponent of scaling factor 2^-61
+{ .mib
+      mov           cisf_GR_exp_2tom61  = 0xffff-61
+      nop.i         0
+      br.cond.sptk  _CISF_COMMON
+};;
+GLOBAL_IEEE754_END(sincosf)
+LOCAL_LIBM_ENTRY(cisf)
+LOCAL_LIBM_END(cisf)
+GLOBAL_LIBM_ENTRY(__libm_sincosf)
+{ .mlx
+// cisf_GR_sig_inv_pi_by_16 = significand of 16/pi
+      alloc         GR_SAVE_PFS              = ar.pfs,0,21,0,0
+      movl          cisf_GR_sig_inv_pi_by_16 = 0xA2F9836E4E44152A
+}
+// cisf_GR_rshf_2to61 = 1.1000 2^(63+63-2)
+{ .mlx
+      addl          cisf_AD_1           = @ltoff(double_cisf_pi), gp
+      movl          cisf_GR_rshf_2to61  = 0x47b8000000000000
+};;
+
+// p14 set for __libm_sincos and cis
+{ .mfi
+      ld8           cisf_AD_1           = [cisf_AD_1]
+      fnorm.s1      cisf_NORM_f8        = cisf_Arg
+      cmp.eq        p14, p13            = r0, r0 
+}
+// cisf_GR_exp_2tom61 = exponent of scaling factor 2^-61
+{ .mib
+      mov           cisf_GR_exp_2tom61  = 0xffff-61
+      nop.i         0
+      nop.b         0
+};;
+
+_CISF_COMMON:
+//  Form two constants we need
+//  16/pi * 2^-2 * 2^63, scaled by 2^61 since we just loaded the significand
+//  1.1000...000 * 2^(63+63-2) to right shift int(W) into the low significand
+//  fcmp used to set denormal, and invalid on snans
+{ .mfi
+      setf.sig      cisf_SIG_INV_PI_BY_16_2TO61 = cisf_GR_sig_inv_pi_by_16
+      fclass.m      p6,p0                       = cisf_Arg, 0xe7//if x=0,inf,nan
+      addl          cisf_gr_tmp                 = -1, r0
+}
+// cisf_GR_rshf = 1.1000 2^63 for right shift
+{ .mlx
+      setf.d        cisf_RSHF_2TO61     = cisf_GR_rshf_2to61
+      movl          cisf_GR_rshf        = 0x43e8000000000000
+};;
+
+//  Form another constant
+//  2^-61 for scaling Nfloat
+//  0x10017 is register_bias + 24.
+//  So if f8 >= 2^24, go to large args routine
+{ .mmi
+      getf.exp      cisf_r_signexp      = cisf_Arg
+      setf.exp      cisf_2TOM61         = cisf_GR_exp_2tom61
+      mov           cisf_exp_limit      = 0x10017
+};;
+
+// Load the two pieces of pi/16
+// Form another constant
+//  1.1000...000 * 2^63, the right shift constant
+{ .mmb
+      ldfe          cisf_Pi_by_16_hi    = [cisf_AD_1],16
+      setf.d        cisf_RSHF           = cisf_GR_rshf
+(p6)  br.cond.spnt  _CISF_SPECIAL_ARGS
+};;
+
+{ .mmi
+      ldfe          cisf_Pi_by_16_lo    = [cisf_AD_1],16
+      setf.sig      cisf_tmp            = cisf_gr_tmp //constant for inexact set
+      nop.i         0
+};;
+
+// Start loading P, Q coefficients
+{ .mmi
+      ldfpd         cisf_P2,cisf_Q2     = [cisf_AD_1],16
+      nop.m         0
+      dep.z         cisf_r_exp          = cisf_r_signexp, 0, 17
+};;
+
+// p10 is true if we must call routines to handle larger arguments
+// p10 is true if f8 exp is >= 0x10017
+{ .mmb
+      ldfpd         cisf_P1,cisf_Q1     = [cisf_AD_1], 16
+      cmp.ge        p10, p0             = cisf_r_exp, cisf_exp_limit 
+(p10) br.cond.spnt  _CISF_LARGE_ARGS    // go to |x| >= 2^24 path
+};;
+
+// cisf_W          = x * cisf_Inv_Pi_by_16
+// Multiply x by scaled 16/pi and add large const to shift integer part of W to
+//   rightmost bits of significand
+{ .mfi
+      nop.m  0
+      fma.s1 cisf_W_2TO61_RSH = cisf_NORM_f8,cisf_SIG_INV_PI_BY_16_2TO61,cisf_RSHF_2TO61
+      nop.i  0
+};;
+
+// cisf_NFLOAT = Round_Int_Nearest(cisf_W)
+{ .mfi
+      nop.m         0
+      fms.s1        cisf_NFLOAT         = cisf_W_2TO61_RSH,cisf_2TOM61,cisf_RSHF
+      nop.i         0
+};;
+
+// N = (int)cisf_int_Nfloat
+{ .mfi
+      getf.sig      cisf_GR_n           = cisf_W_2TO61_RSH 
+      nop.f         0
+      nop.i         0
+};;
+
+// Add 2^(k-1) (which is in cisf_r_sincos) to N
+// cisf_r = -cisf_Nfloat * cisf_Pi_by_16_hi + x
+// cisf_r = cisf_r -cisf_Nfloat * cisf_Pi_by_16_lo
+{ .mfi
+      add     cisf_GR_n_cos = 0x8, cisf_GR_n
+      fnma.s1 cisf_r        = cisf_NFLOAT, cisf_Pi_by_16_hi, cisf_NORM_f8
+      nop.i   0
+};;
+
+//Get M (least k+1 bits of N)
+{ .mmi
+      and           cisf_GR_m_sin       = 0x1f,cisf_GR_n 
+      and           cisf_GR_m_cos       = 0x1f,cisf_GR_n_cos
+      nop.i         0
+};;
+
+{ .mmi
+      shladd        cisf_AD_2_cos       = cisf_GR_m_cos,4, cisf_AD_1
+      shladd        cisf_AD_2_sin       = cisf_GR_m_sin,4, cisf_AD_1
+      nop.i         0
+};;
+
+// den. input to set uflow
+{ .mmf
+      ldfpd         cisf_Sm_sin, cisf_Cm_sin = [cisf_AD_2_sin]
+      ldfpd         cisf_Sm_cos, cisf_Cm_cos = [cisf_AD_2_cos]
+      fclass.m.unc  p10,p0                   = cisf_Arg,0x0b 
+};;
+
+{ .mfi
+      nop.m         0
+      fma.s1        cisf_rsq            = cisf_r, cisf_r,   f0  // get r^2
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fmpy.s0       cisf_tmp            = cisf_tmp,cisf_tmp // inexact flag
+      nop.i         0
+};;
+
+{ .mmf
+      nop.m         0
+      nop.m         0
+      fnma.s1       cisf_r_exact        = cisf_NFLOAT, cisf_Pi_by_16_lo, cisf_r
+};;
+
+{ .mfi
+      nop.m         0
+      fma.s1        cisf_P              = cisf_rsq, cisf_P2, cisf_P1
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        cisf_Q              = cisf_rsq, cisf_Q2, cisf_Q1
+      nop.i         0
+};;
+
+{ .mfi
+      nop.m         0
+      fmpy.s1       cisf_rcub           = cisf_r_exact, cisf_rsq // get r^3
+      nop.i         0
+};;
+
+{ .mfi
+      nop.m         0
+      fmpy.s1       cisf_srsq_sin       = cisf_Sm_sin,cisf_rsq
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fmpy.s1       cisf_srsq_cos       = cisf_Sm_cos,cisf_rsq
+      nop.i         0
+};;
+
+{ .mfi
+      nop.m         0
+      fma.s1        cisf_P              = cisf_rcub,cisf_P,cisf_r_exact
+      nop.i         0
+};;
+
+{ .mfi
+      nop.m         0
+      fma.s1        cisf_Q_sin          = cisf_srsq_sin,cisf_Q, cisf_Sm_sin
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        cisf_Q_cos          = cisf_srsq_cos,cisf_Q, cisf_Sm_cos
+      nop.i         0
+};;
+
+// If den. arg, force underflow to be set
+{ .mfi
+      nop.m         0
+(p10) fmpy.s.s0     cisf_tmp            = cisf_Arg,cisf_Arg
+      nop.i         0
+};;
+
+//Final sin
+{ .mfi
+      nop.m         0
+      fma.s.s0      cisf_Sin_res        = cisf_Cm_sin, cisf_P, cisf_Q_sin
+      nop.i         0
+}
+//Final cos
+{ .mfb
+      nop.m         0
+      fma.s.s0      cisf_Cos_res    = cisf_Cm_cos, cisf_P, cisf_Q_cos
+(p14) br.cond.sptk  _CISF_RETURN //com. exit for __libm_sincos and cis main path
+};;
+
+{ .mmb
+      stfs          [cisf_pResSin]      = cisf_Sin_res
+      stfs          [cisf_pResCos]      = cisf_Cos_res
+      br.ret.sptk   b0 // common exit for sincos main path
+};;
+
+_CISF_SPECIAL_ARGS:
+// sinf(+/-0) = +/-0
+// sinf(Inf)  = NaN
+// sinf(NaN)  = NaN
+{ .mfi
+      nop.m         999
+      fma.s.s0      cisf_Sin_res        = cisf_Arg, f0, f0 // sinf(+/-0,NaN,Inf)
+      nop.i         999
+};;
+
+// cosf(+/-0) = 1.0
+// cosf(Inf)  = NaN
+// cosf(NaN)  = NaN
+{ .mfb
+      nop.m         999
+      fma.s.s0      cisf_Cos_res        = cisf_Arg, f0, f1 // cosf(+/-0,NaN,Inf)
+(p14) br.cond.sptk  _CISF_RETURN //spec exit for __libm_sincos and cis main path
+};;
+
+{ .mmb
+      stfs          [cisf_pResSin]      = cisf_Sin_res
+      stfs          [cisf_pResCos]      = cisf_Cos_res
+      br.ret.sptk   b0 // special exit for sincos main path
+};;
+
+ // exit for sincos
+ // NOTE! r8 and r9 used only because of compiler issue
+ // connected with float point complex function arguments pass
+ // After fix of this issue this operations can be deleted
+_CISF_RETURN:
+{ .mmb
+      getf.s        r8                  = cisf_Cos_res
+      getf.s        r9                  = cisf_Sin_res
+      br.ret.sptk   b0 // exit for sincos
+};;
+GLOBAL_LIBM_END(__libm_sincosf)
+////  |x| > 2^24 path  ///////
+.proc _CISF_LARGE_ARGS
+_CISF_LARGE_ARGS:
+.prologue
+{ .mfi
+      nop.m         0
+      nop.f         0
+.save ar.pfs, GR_SAVE_PFS
+      mov           GR_SAVE_PFS         = ar.pfs
+};;
+
+{ .mfi
+      mov           GR_SAVE_GP          = gp
+      nop.f         0
+.save b0, GR_SAVE_B0
+      mov           GR_SAVE_B0          = b0
+};;
+
+.body
+// Call of huge arguments sincos
+{ .mib
+      nop.m         0
+      mov           GR_SAVE_PR          = pr
+      br.call.sptk  b0                  = __libm_sincos_large
+};;
+
+{ .mfi
+      mov           gp                  = GR_SAVE_GP
+      nop.f         0
+      mov           pr                  = GR_SAVE_PR, 0x1fffe
+}
+;;
+
+{ .mfi
+      nop.m         0
+      nop.f         0
+      mov           b0                  = GR_SAVE_B0
+}
+;;
+
+{ .mfi
+      nop.m         0
+      fma.s.s0      cisf_Cos_res        = cisf_Cos_res, f1, f0
+      mov           ar.pfs              = GR_SAVE_PFS
+}
+// exit for |x| > 2^24 path (__libm_sincos and cis)
+{ .mfb
+      nop.m         0
+      fma.s.s0      cisf_Sin_res        = cisf_Sin_res, f1, f0
+(p14) br.cond.sptk  _CISF_RETURN 
+};;
+
+{ .mmb
+      stfs          [cisf_pResSin]      = cisf_Sin_res
+      stfs          [cisf_pResCos]      = cisf_Cos_res
+      br.ret.sptk   b0 // exit for sincos |x| > 2^24 path
+};;
+
+.endp _CISF_LARGE_ARGS
+
+.type   __libm_sincos_large#,@function
+.global __libm_sincos_large#
+
diff --git a/sysdeps/ia64/fpu/libm_sincosl.S b/sysdeps/ia64/fpu/libm_sincosl.S
new file mode 100644
index 0000000000..2a03a23e7e
--- /dev/null
+++ b/sysdeps/ia64/fpu/libm_sincosl.S
@@ -0,0 +1,2527 @@
+.file "libm_sincosl.asm"
+
+
+// Copyright (c) 2000 - 2003, Intel Corporation
+// All rights reserved.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
+//
+// Redistribution and use in source and binary forms, with or without
+// modification, are permitted provided that the following conditions are
+// met:
+//
+// * Redistributions of source code must retain the above copyright
+// notice, this list of conditions and the following disclaimer.
+//
+// * Redistributions in binary form must reproduce the above copyright
+// notice, this list of conditions and the following disclaimer in the
+// documentation and/or other materials provided with the distribution.
+//
+// * The name of Intel Corporation may not be used to endorse or promote
+// products derived from this software without specific prior written
+// permission.
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
+// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
+// OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+//
+// Intel Corporation is the author of this code, and requests that all
+// problem reports or change requests be submitted to it directly at
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
+//
+//*********************************************************************
+//
+// History:
+// 05/13/02 Initial version of sincosl (based on libm's sinl and cosl)
+// 02/10/03 Reordered header: .section, .global, .proc, .align;
+//          used data8 for long double table values
+//
+//*********************************************************************
+//
+// Function:   Combined sincosl routine with 3 different API's
+//
+// API's
+//==============================================================
+// 1) long double _Complex cisl(long double)
+// 2) void sincosl(long double, long double*s, long double*c)
+// 3) __libm_sincosl - internal LIBM function, that accepts
+//    argument in f8 and returns cosine through f8, sine through f9
+//
+//
+//*********************************************************************
+//
+// Resources Used:
+//
+//    Floating-Point Registers: f8 (Input x and cosl return value),
+//                              f9 (sinl returned)
+//                              f32-f121
+//
+//    General Purpose Registers:
+//      r32-r47
+//
+//    Predicate Registers:      p6-p15
+//
+//*********************************************************************
+//
+//  IEEE Special Conditions:
+//
+//    Denormal  fault raised on denormal inputs
+//    Overflow exceptions do not occur
+//    Underflow exceptions raised when appropriate for sincosl
+//    (No specialized error handling for this routine)
+//    Inexact raised when appropriate by algorithm
+//
+//    sincosl(SNaN) = QNaN, QNaN
+//    sincosl(QNaN) = QNaN, QNaN
+//    sincosl(inf)  = QNaN, QNaN
+//    sincosl(+/-0) = +/-0, 1
+//
+//*********************************************************************
+//
+//  Mathematical Description
+//  ========================
+//
+//  The computation of FSIN and FCOS performed in parallel.
+//
+//  Arg = N pi/2 + alpha, |alpha| <= pi/4.
+//
+//  cosl( Arg ) = sinl( (N+1) pi/2 + alpha ),
+//
+//  therefore, the code for computing sine will produce cosine as long
+//  as 1 is added to N immediately after the argument reduction
+//  process.
+//
+//  Let M = N if sine
+//      N+1 if cosine.
+//
+//  Now, given
+//
+//  Arg = M pi/2  + alpha, |alpha| <= pi/4,
+//
+//  let I = M mod 4, or I be the two lsb of M when M is represented
+//  as 2's complement. I = [i_0 i_1]. Then
+//
+//  sinl( Arg ) = (-1)^i_0  sinl( alpha ) if i_1 = 0,
+//             = (-1)^i_0  cosl( alpha )     if i_1 = 1.
+//
+//  For example:
+//       if M = -1, I = 11
+//         sin ((-pi/2 + alpha) = (-1) cos (alpha)
+//       if M = 0, I = 00
+//         sin (alpha) = sin (alpha)
+//       if M = 1, I = 01
+//         sin (pi/2 + alpha) = cos (alpha)
+//       if M = 2, I = 10
+//         sin (pi + alpha) = (-1) sin (alpha)
+//       if M = 3, I = 11
+//         sin ((3/2)pi + alpha) = (-1) cos (alpha)
+//
+//  The value of alpha is obtained by argument reduction and
+//  represented by two working precision numbers r and c where
+//
+//  alpha =  r  +  c     accurately.
+//
+//  The reduction method is described in a previous write up.
+//  The argument reduction scheme identifies 4 cases. For Cases 2
+//  and 4, because |alpha| is small, sinl(r+c) and cosl(r+c) can be
+//  computed very easily by 2 or 3 terms of the Taylor series
+//  expansion as follows:
+//
+//  Case 2:
+//  -------
+//
+//  sinl(r + c) = r + c - r^3/6 accurately
+//  cosl(r + c) = 1 - 2^(-67) accurately
+//
+//  Case 4:
+//  -------
+//
+//  sinl(r + c) = r + c - r^3/6 + r^5/120 accurately
+//  cosl(r + c) = 1 - r^2/2 + r^4/24    accurately
+//
+//  The only cases left are Cases 1 and 3 of the argument reduction
+//  procedure. These two cases will be merged since after the
+//  argument is reduced in either cases, we have the reduced argument
+//  represented as r + c and that the magnitude |r + c| is not small
+//  enough to allow the usage of a very short approximation.
+//
+//  The required calculation is either
+//
+//  sinl(r + c)  =  sinl(r)  +  correction,  or
+//  cosl(r + c)  =  cosl(r)  +  correction.
+//
+//  Specifically,
+//
+//  sinl(r + c) = sinl(r) + c sin'(r) + O(c^2)
+//       = sinl(r) + c cos (r) + O(c^2)
+//       = sinl(r) + c(1 - r^2/2)  accurately.
+//  Similarly,
+//
+//  cosl(r + c) = cosl(r) - c sinl(r) + O(c^2)
+//       = cosl(r) - c(r - r^3/6)  accurately.
+//
+//  We therefore concentrate on accurately calculating sinl(r) and
+//  cosl(r) for a working-precision number r, |r| <= pi/4 to within
+//  0.1% or so.
+//
+//  The greatest challenge of this task is that the second terms of
+//  the Taylor series
+//
+//  r - r^3/3! + r^r/5! - ...
+//
+//  and
+//
+//  1 - r^2/2! + r^4/4! - ...
+//
+//  are not very small when |r| is close to pi/4 and the rounding
+//  errors will be a concern if simple polynomial accumulation is
+//  used. When |r| < 2^-3, however, the second terms will be small
+//  enough (6 bits or so of right shift) that a normal Horner
+//  recurrence suffices. Hence there are two cases that we consider
+//  in the accurate computation of sinl(r) and cosl(r), |r| <= pi/4.
+//
+//  Case small_r: |r| < 2^(-3)
+//  --------------------------
+//
+//  Since Arg = M pi/4 + r + c accurately, and M mod 4 is [i_0 i_1],
+//  we have
+//
+//  sinl(Arg) = (-1)^i_0 * sinl(r + c)  if i_1 = 0
+//     = (-1)^i_0 * cosl(r + c)   if i_1 = 1
+//
+//  can be accurately approximated by
+//
+//  sinl(Arg) = (-1)^i_0 * [sinl(r) + c]  if i_1 = 0
+//           = (-1)^i_0 * [cosl(r) - c*r] if i_1 = 1
+//
+//  because |r| is small and thus the second terms in the correction
+//  are unneccessary.
+//
+//  Finally, sinl(r) and cosl(r) are approximated by polynomials of
+//  moderate lengths.
+//
+//  sinl(r) =  r + S_1 r^3 + S_2 r^5 + ... + S_5 r^11
+//  cosl(r) =  1 + C_1 r^2 + C_2 r^4 + ... + C_5 r^10
+//
+//  We can make use of predicates to selectively calculate
+//  sinl(r) or cosl(r) based on i_1.
+//
+//  Case normal_r: 2^(-3) <= |r| <= pi/4
+//  ------------------------------------
+//
+//  This case is more likely than the previous one if one considers
+//  r to be uniformly distributed in [-pi/4 pi/4]. Again,
+//
+//  sinl(Arg) = (-1)^i_0 * sinl(r + c)  if i_1 = 0
+//           = (-1)^i_0 * cosl(r + c)   if i_1 = 1.
+//
+//  Because |r| is now larger, we need one extra term in the
+//  correction. sinl(Arg) can be accurately approximated by
+//
+//  sinl(Arg) = (-1)^i_0 * [sinl(r) + c(1-r^2/2)]      if i_1 = 0
+//           = (-1)^i_0 * [cosl(r) - c*r*(1 - r^2/6)]    i_1 = 1.
+//
+//  Finally, sinl(r) and cosl(r) are approximated by polynomials of
+//  moderate lengths.
+//
+//  sinl(r) =  r + PP_1_hi r^3 + PP_1_lo r^3 +
+//                PP_2 r^5 + ... + PP_8 r^17
+//
+//  cosl(r) =  1 + QQ_1 r^2 + QQ_2 r^4 + ... + QQ_8 r^16
+//
+//  where PP_1_hi is only about 16 bits long and QQ_1 is -1/2.
+//  The crux in accurate computation is to calculate
+//
+//  r + PP_1_hi r^3   or  1 + QQ_1 r^2
+//
+//  accurately as two pieces: U_hi and U_lo. The way to achieve this
+//  is to obtain r_hi as a 10 sig. bit number that approximates r to
+//  roughly 8 bits or so of accuracy. (One convenient way is
+//
+//  r_hi := frcpa( frcpa( r ) ).)
+//
+//  This way,
+//
+//  r + PP_1_hi r^3 =  r + PP_1_hi r_hi^3 +
+//                          PP_1_hi (r^3 - r_hi^3)
+//            =  [r + PP_1_hi r_hi^3]  +
+//         [PP_1_hi (r - r_hi)
+//            (r^2 + r_hi r + r_hi^2) ]
+//            =  U_hi  +  U_lo
+//
+//  Since r_hi is only 10 bit long and PP_1_hi is only 16 bit long,
+//  PP_1_hi * r_hi^3 is only at most 46 bit long and thus computed
+//  exactly. Furthermore, r and PP_1_hi r_hi^3 are of opposite sign
+//  and that there is no more than 8 bit shift off between r and
+//  PP_1_hi * r_hi^3. Hence the sum, U_hi, is representable and thus
+//  calculated without any error. Finally, the fact that
+//
+//  |U_lo| <= 2^(-8) |U_hi|
+//
+//  says that U_hi + U_lo is approximating r + PP_1_hi r^3 to roughly
+//  8 extra bits of accuracy.
+//
+//  Similarly,
+//
+//  1 + QQ_1 r^2  =  [1 + QQ_1 r_hi^2]  +
+//                      [QQ_1 (r - r_hi)(r + r_hi)]
+//          =  U_hi  +  U_lo.
+//
+//  Summarizing, we calculate r_hi = frcpa( frcpa( r ) ).
+//
+//  If i_1 = 0, then
+//
+//    U_hi := r + PP_1_hi * r_hi^3
+//    U_lo := PP_1_hi * (r - r_hi) * (r^2 + r*r_hi + r_hi^2)
+//    poly := PP_1_lo r^3 + PP_2 r^5 + ... + PP_8 r^17
+//    correction := c * ( 1 + C_1 r^2 )
+//
+//  Else ...i_1 = 1
+//
+//    U_hi := 1 + QQ_1 * r_hi * r_hi
+//    U_lo := QQ_1 * (r - r_hi) * (r + r_hi)
+//    poly := QQ_2 * r^4 + QQ_3 * r^6 + ... + QQ_8 r^16
+//    correction := -c * r * (1 + S_1 * r^2)
+//
+//  End
+//
+//  Finally,
+//
+//  V := poly + ( U_lo + correction )
+//
+//                 /    U_hi  +  V         if i_0 = 0
+//  result := |
+//                 \  (-U_hi) -  V         if i_0 = 1
+//
+//  It is important that in the last step, negation of U_hi is
+//  performed prior to the subtraction which is to be performed in
+//  the user-set rounding mode.
+//
+//
+//  Algorithmic Description
+//  =======================
+//
+//  The argument reduction algorithm shares the same code between FSIN and FCOS.
+//  The argument reduction description given
+//  previously is repeated below.
+//
+//
+//  Step 0. Initialization.
+//
+//  Step 1. Check for exceptional and special cases.
+//
+//   * If Arg is +-0, +-inf, NaN, NaT, go to Step 10 for special
+//     handling.
+//   * If |Arg| < 2^24, go to Step 2 for reduction of moderate
+//     arguments. This is the most likely case.
+//   * If |Arg| < 2^63, go to Step 8 for pre-reduction of large
+//     arguments.
+//   * If |Arg| >= 2^63, go to Step 10 for special handling.
+//
+//  Step 2. Reduction of moderate arguments.
+//
+//  If |Arg| < pi/4   ...quick branch
+//     N_fix := N_inc (integer)
+//     r     := Arg
+//     c     := 0.0
+//     Branch to Step 4, Case_1_complete
+//  Else    ...cf. argument reduction
+//     N     := Arg * two_by_PI (fp)
+//     N_fix := fcvt.fx( N )  (int)
+//     N     := fcvt.xf( N_fix )
+//     N_fix := N_fix + N_inc
+//     s     := Arg - N * P_1 (first piece of pi/2)
+//     w     := -N * P_2  (second piece of pi/2)
+//
+//     If |s| >= 2^(-33)
+//        go to Step 3, Case_1_reduce
+//     Else
+//        go to Step 7, Case_2_reduce
+//     Endif
+//  Endif
+//
+//  Step 3. Case_1_reduce.
+//
+//  r := s + w
+//  c := (s - r) + w  ...observe order
+//
+//  Step 4. Case_1_complete
+//
+//  ...At this point, the reduced argument alpha is
+//  ...accurately represented as r + c.
+//  If |r| < 2^(-3), go to Step 6, small_r.
+//
+//  Step 5. Normal_r.
+//
+//  Let [i_0 i_1] by the 2 lsb of N_fix.
+//  FR_rsq  := r * r
+//  r_hi := frcpa( frcpa( r ) )
+//  r_lo := r - r_hi
+//
+//  If i_1 = 0, then
+//    poly := r*FR_rsq*(PP_1_lo + FR_rsq*(PP_2 + ... FR_rsq*PP_8))
+//    U_hi := r + PP_1_hi*r_hi*r_hi*r_hi  ...any order
+//    U_lo := PP_1_hi*r_lo*(r*r + r*r_hi + r_hi*r_hi)
+//    correction := c + c*C_1*FR_rsq    ...any order
+//  Else
+//    poly := FR_rsq*FR_rsq*(QQ_2 + FR_rsq*(QQ_3 + ... + FR_rsq*QQ_8))
+//    U_hi := 1 + QQ_1 * r_hi * r_hi    ...any order
+//    U_lo := QQ_1 * r_lo * (r + r_hi)
+//    correction := -c*(r + S_1*FR_rsq*r) ...any order
+//  Endif
+//
+//  V := poly + (U_lo + correction) ...observe order
+//
+//  result := (i_0 == 0?   1.0 : -1.0)
+//
+//  Last instruction in user-set rounding mode
+//
+//  result := (i_0 == 0?   result*U_hi + V :
+//                        result*U_hi - V)
+//
+//  Return
+//
+//  Step 6. Small_r.
+//
+//  ...Use flush to zero mode without causing exception
+//    Let [i_0 i_1] be the two lsb of N_fix.
+//
+//  FR_rsq := r * r
+//
+//  If i_1 = 0 then
+//     z := FR_rsq*FR_rsq; z := FR_rsq*z *r
+//     poly_lo := S_3 + FR_rsq*(S_4 + FR_rsq*S_5)
+//     poly_hi := r*FR_rsq*(S_1 + FR_rsq*S_2)
+//     correction := c
+//     result := r
+//  Else
+//     z := FR_rsq*FR_rsq; z := FR_rsq*z
+//     poly_lo := C_3 + FR_rsq*(C_4 + FR_rsq*C_5)
+//     poly_hi := FR_rsq*(C_1 + FR_rsq*C_2)
+//     correction := -c*r
+//     result := 1
+//  Endif
+//
+//  poly := poly_hi + (z * poly_lo + correction)
+//
+//  If i_0 = 1, result := -result
+//
+//  Last operation. Perform in user-set rounding mode
+//
+//  result := (i_0 == 0?     result + poly :
+//                          result - poly )
+//  Return
+//
+//  Step 7. Case_2_reduce.
+//
+//  ...Refer to the write up for argument reduction for
+//  ...rationale. The reduction algorithm below is taken from
+//  ...argument reduction description and integrated this.
+//
+//  w := N*P_3
+//  U_1 := N*P_2 + w    ...FMA
+//  U_2 := (N*P_2 - U_1) + w  ...2 FMA
+//  ...U_1 + U_2 is  N*(P_2+P_3) accurately
+//
+//  r := s - U_1
+//  c := ( (s - r) - U_1 ) - U_2
+//
+//  ...The mathematical sum r + c approximates the reduced
+//  ...argument accurately. Note that although compared to
+//  ...Case 1, this case requires much more work to reduce
+//  ...the argument, the subsequent calculation needed for
+//  ...any of the trigonometric function is very little because
+//  ...|alpha| < 1.01*2^(-33) and thus two terms of the
+//  ...Taylor series expansion suffices.
+//
+//  If i_1 = 0 then
+//     poly := c + S_1 * r * r * r  ...any order
+//     result := r
+//  Else
+//     poly := -2^(-67)
+//     result := 1.0
+//  Endif
+//
+//  If i_0 = 1, result := -result
+//
+//  Last operation. Perform in user-set rounding mode
+//
+//  result := (i_0 == 0?     result + poly :
+//                           result - poly )
+//
+//  Return
+//
+//
+//  Step 8. Pre-reduction of large arguments.
+//
+//  ...Again, the following reduction procedure was described
+//  ...in the separate write up for argument reduction, which
+//  ...is tightly integrated here.
+
+//  N_0 := Arg * Inv_P_0
+//  N_0_fix := fcvt.fx( N_0 )
+//  N_0 := fcvt.xf( N_0_fix)
+
+//  Arg' := Arg - N_0 * P_0
+//  w := N_0 * d_1
+//  N := Arg' * two_by_PI
+//  N_fix := fcvt.fx( N )
+//  N := fcvt.xf( N_fix )
+//  N_fix := N_fix + N_inc
+//
+//  s := Arg' - N * P_1
+//  w := w - N * P_2
+//
+//  If |s| >= 2^(-14)
+//     go to Step 3
+//  Else
+//     go to Step 9
+//  Endif
+//
+//  Step 9. Case_4_reduce.
+//
+//    ...first obtain N_0*d_1 and -N*P_2 accurately
+//   U_hi := N_0 * d_1    V_hi := -N*P_2
+//   U_lo := N_0 * d_1 - U_hi V_lo := -N*P_2 - U_hi ...FMAs
+//
+//   ...compute the contribution from N_0*d_1 and -N*P_3
+//   w := -N*P_3
+//   w := w + N_0*d_2
+//   t := U_lo + V_lo + w   ...any order
+//
+//   ...at this point, the mathematical value
+//   ...s + U_hi + V_hi  + t approximates the true reduced argument
+//   ...accurately. Just need to compute this accurately.
+//
+//   ...Calculate U_hi + V_hi accurately:
+//   A := U_hi + V_hi
+//   if |U_hi| >= |V_hi| then
+//      a := (U_hi - A) + V_hi
+//   else
+//      a := (V_hi - A) + U_hi
+//   endif
+//   ...order in computing "a" must be observed. This branch is
+//   ...best implemented by predicates.
+//   ...A + a  is U_hi + V_hi accurately. Moreover, "a" is
+//   ...much smaller than A: |a| <= (1/2)ulp(A).
+//
+//   ...Just need to calculate   s + A + a + t
+//   C_hi := s + A    t := t + a
+//   C_lo := (s - C_hi) + A
+//   C_lo := C_lo + t
+//
+//   ...Final steps for reduction
+//   r := C_hi + C_lo
+//   c := (C_hi - r) + C_lo
+//
+//   ...At this point, we have r and c
+//   ...And all we need is a couple of terms of the corresponding
+//   ...Taylor series.
+//
+//   If i_1 = 0
+//      poly := c + r*FR_rsq*(S_1 + FR_rsq*S_2)
+//      result := r
+//   Else
+//      poly := FR_rsq*(C_1 + FR_rsq*C_2)
+//      result := 1
+//   Endif
+//
+//   If i_0 = 1, result := -result
+//
+//   Last operation. Perform in user-set rounding mode
+//
+//   result := (i_0 == 0?     result + poly :
+//                            result - poly )
+//   Return
+//
+//   Large Arguments: For arguments above 2**63, a Payne-Hanek
+//   style argument reduction is used and pi_by_2 reduce is called.
+//
+
+
+RODATA
+.align 64
+
+LOCAL_OBJECT_START(FSINCOSL_CONSTANTS)
+
+sincosl_table_p:
+//data4 0x4E44152A, 0xA2F9836E, 0x00003FFE,0x00000000 // Inv_pi_by_2
+//data4 0xCE81B9F1, 0xC84D32B0, 0x00004016,0x00000000 // P_0
+//data4 0x2168C235, 0xC90FDAA2, 0x00003FFF,0x00000000 // P_1
+//data4 0xFC8F8CBB, 0xECE675D1, 0x0000BFBD,0x00000000 // P_2
+//data4 0xACC19C60, 0xB7ED8FBB, 0x0000BF7C,0x00000000 // P_3
+//data4 0xDBD171A1, 0x8D848E89, 0x0000BFBF,0x00000000 // d_1
+//data4 0x18A66F8E, 0xD5394C36, 0x0000BF7C,0x00000000 // d_2
+data8 0xA2F9836E4E44152A, 0x00003FFE // Inv_pi_by_2
+data8 0xC84D32B0CE81B9F1, 0x00004016 // P_0
+data8 0xC90FDAA22168C235, 0x00003FFF // P_1
+data8 0xECE675D1FC8F8CBB, 0x0000BFBD // P_2
+data8 0xB7ED8FBBACC19C60, 0x0000BF7C // P_3
+data8 0x8D848E89DBD171A1, 0x0000BFBF // d_1
+data8 0xD5394C3618A66F8E, 0x0000BF7C // d_2
+LOCAL_OBJECT_END(FSINCOSL_CONSTANTS)
+
+LOCAL_OBJECT_START(sincosl_table_d)
+//data4 0x2168C234, 0xC90FDAA2, 0x00003FFE,0x00000000 // pi_by_4
+//data4 0x6EC6B45A, 0xA397E504, 0x00003FE7,0x00000000 // Inv_P_0
+data8 0xC90FDAA22168C234, 0x00003FFE // pi_by_4
+data8 0xA397E5046EC6B45A, 0x00003FE7 // Inv_P_0
+data4 0x3E000000, 0xBE000000         // 2^-3 and -2^-3
+data4 0x2F000000, 0xAF000000         // 2^-33 and -2^-33
+data4 0x9E000000, 0x00000000         // -2^-67
+data4 0x00000000, 0x00000000         // pad
+LOCAL_OBJECT_END(sincosl_table_d)
+
+LOCAL_OBJECT_START(sincosl_table_pp)
+//data4 0xA21C0BC9, 0xCC8ABEBC, 0x00003FCE,0x00000000 // PP_8
+//data4 0x720221DA, 0xD7468A05, 0x0000BFD6,0x00000000 // PP_7
+//data4 0x640AD517, 0xB092382F, 0x00003FDE,0x00000000 // PP_6
+//data4 0xD1EB75A4, 0xD7322B47, 0x0000BFE5,0x00000000 // PP_5
+//data4 0xFFFFFFFE, 0xFFFFFFFF, 0x0000BFFD,0x00000000 // C_1
+//data4 0x00000000, 0xAAAA0000, 0x0000BFFC,0x00000000 // PP_1_hi
+//data4 0xBAF69EEA, 0xB8EF1D2A, 0x00003FEC,0x00000000 // PP_4
+//data4 0x0D03BB69, 0xD00D00D0, 0x0000BFF2,0x00000000 // PP_3
+//data4 0x88888962, 0x88888888, 0x00003FF8,0x00000000 // PP_2
+//data4 0xAAAB0000, 0xAAAAAAAA, 0x0000BFEC,0x00000000 // PP_1_lo
+data8 0xCC8ABEBCA21C0BC9, 0x00003FCE // PP_8
+data8 0xD7468A05720221DA, 0x0000BFD6 // PP_7
+data8 0xB092382F640AD517, 0x00003FDE // PP_6
+data8 0xD7322B47D1EB75A4, 0x0000BFE5 // PP_5
+data8 0xFFFFFFFFFFFFFFFE, 0x0000BFFD // C_1
+data8 0xAAAA000000000000, 0x0000BFFC // PP_1_hi
+data8 0xB8EF1D2ABAF69EEA, 0x00003FEC // PP_4
+data8 0xD00D00D00D03BB69, 0x0000BFF2 // PP_3
+data8 0x8888888888888962, 0x00003FF8 // PP_2
+data8 0xAAAAAAAAAAAB0000, 0x0000BFEC // PP_1_lo
+LOCAL_OBJECT_END(sincosl_table_pp)
+
+LOCAL_OBJECT_START(sincosl_table_qq)
+//data4 0xC2B0FE52, 0xD56232EF, 0x00003FD2 // QQ_8
+//data4 0x2B48DCA6, 0xC9C99ABA, 0x0000BFDA // QQ_7
+//data4 0x9C716658, 0x8F76C650, 0x00003FE2 // QQ_6
+//data4 0xFDA8D0FC, 0x93F27DBA, 0x0000BFE9 // QQ_5
+//data4 0xAAAAAAAA, 0xAAAAAAAA, 0x0000BFFC // S_1
+//data4 0x00000000, 0x80000000, 0x0000BFFE,0x00000000 // QQ_1
+//data4 0x0C6E5041, 0xD00D00D0, 0x00003FEF,0x00000000 // QQ_4
+//data4 0x0B607F60, 0xB60B60B6, 0x0000BFF5,0x00000000 // QQ_3
+//data4 0xAAAAAA9B, 0xAAAAAAAA, 0x00003FFA,0x00000000 // QQ_2
+data8 0xD56232EFC2B0FE52, 0x00003FD2 // QQ_8
+data8 0xC9C99ABA2B48DCA6, 0x0000BFDA // QQ_7
+data8 0x8F76C6509C716658, 0x00003FE2 // QQ_6
+data8 0x93F27DBAFDA8D0FC, 0x0000BFE9 // QQ_5
+data8 0xAAAAAAAAAAAAAAAA, 0x0000BFFC // S_1
+data8 0x8000000000000000, 0x0000BFFE // QQ_1
+data8 0xD00D00D00C6E5041, 0x00003FEF // QQ_4
+data8 0xB60B60B60B607F60, 0x0000BFF5 // QQ_3
+data8 0xAAAAAAAAAAAAAA9B, 0x00003FFA // QQ_2
+LOCAL_OBJECT_END(sincosl_table_qq)
+
+LOCAL_OBJECT_START(sincosl_table_c)
+//data4 0xFFFFFFFE, 0xFFFFFFFF, 0x0000BFFD,0x00000000 // C_1
+//data4 0xAAAA719F, 0xAAAAAAAA, 0x00003FFA,0x00000000 // C_2
+//data4 0x0356F994, 0xB60B60B6, 0x0000BFF5,0x00000000 // C_3
+//data4 0xB2385EA9, 0xD00CFFD5, 0x00003FEF,0x00000000 // C_4
+//data4 0x292A14CD, 0x93E4BD18, 0x0000BFE9,0x00000000 // C_5
+data8 0xFFFFFFFFFFFFFFFE, 0x0000BFFD // C_1
+data8 0xAAAAAAAAAAAA719F, 0x00003FFA // C_2
+data8 0xB60B60B60356F994, 0x0000BFF5 // C_3
+data8 0xD00CFFD5B2385EA9, 0x00003FEF // C_4
+data8 0x93E4BD18292A14CD, 0x0000BFE9 // C_5
+LOCAL_OBJECT_END(sincosl_table_c)
+
+LOCAL_OBJECT_START(sincosl_table_s)
+//data4 0xAAAAAAAA, 0xAAAAAAAA, 0x0000BFFC,0x00000000 // S_1
+//data4 0x888868DB, 0x88888888, 0x00003FF8,0x00000000 // S_2
+//data4 0x055EFD4B, 0xD00D00D0, 0x0000BFF2,0x00000000 // S_3
+//data4 0x839730B9, 0xB8EF1C5D, 0x00003FEC,0x00000000 // S_4
+//data4 0xE5B3F492, 0xD71EA3A4, 0x0000BFE5,0x00000000 // S_5
+data8 0xAAAAAAAAAAAAAAAA, 0x0000BFFC // S_1
+data8 0x88888888888868DB, 0x00003FF8 // S_2
+data8 0xD00D00D0055EFD4B, 0x0000BFF2 // S_3
+data8 0xB8EF1C5D839730B9, 0x00003FEC // S_4
+data8 0xD71EA3A4E5B3F492, 0x0000BFE5 // S_5
+data4 0x38800000, 0xB8800000         // two**-14 and -two**-14
+LOCAL_OBJECT_END(sincosl_table_s)
+
+FR_Input_X        = f8
+FR_Result         = f8
+FR_ResultS        = f9
+FR_ResultC        = f8
+FR_r              = f8
+FR_c              = f9
+
+FR_norm_x         = f9
+FR_inv_pi_2to63   = f10
+FR_rshf_2to64     = f11
+FR_2tom64         = f12
+FR_rshf           = f13
+FR_N_float_signif = f14
+FR_abs_x          = f15
+
+FR_r6             = f32
+FR_r7             = f33
+FR_Pi_by_4        = f34
+FR_Two_to_M14     = f35
+FR_Neg_Two_to_M14 = f36
+FR_Two_to_M33     = f37
+FR_Neg_Two_to_M33 = f38
+FR_Neg_Two_to_M67 = f39
+FR_Inv_pi_by_2    = f40
+FR_N_float        = f41
+FR_N_fix          = f42
+FR_P_1            = f43
+FR_P_2            = f44
+FR_P_3            = f45
+FR_s              = f46
+FR_w              = f47
+FR_Z              = f50
+FR_A              = f51
+FR_a              = f52
+FR_t              = f53
+FR_U_1            = f54
+FR_U_2            = f55
+FR_C_1            = f56
+FR_C_2            = f57
+FR_C_3            = f58
+FR_C_4            = f59
+FR_C_5            = f60
+FR_S_1            = f61
+FR_S_2            = f62
+FR_S_3            = f63
+FR_S_4            = f64
+FR_S_5            = f65
+FR_r_hi           = f68
+FR_r_lo           = f69
+FR_rsq            = f70
+FR_r_cubed        = f71
+FR_C_hi           = f72
+FR_N_0            = f73
+FR_d_1            = f74
+FR_V_hi           = f75
+FR_V_lo           = f76
+FR_U_hi           = f77
+FR_U_lo           = f78
+FR_U_hiabs        = f79
+FR_V_hiabs        = f80
+FR_PP_8           = f81
+FR_QQ_8           = f101
+FR_PP_7           = f82
+FR_QQ_7           = f102
+FR_PP_6           = f83
+FR_QQ_6           = f103
+FR_PP_5           = f84
+FR_QQ_5           = f104
+FR_PP_4           = f85
+FR_QQ_4           = f105
+FR_PP_3           = f86
+FR_QQ_3           = f106
+FR_PP_2           = f87
+FR_QQ_2           = f107
+FR_QQ_1           = f108
+FR_r_hi_sq        = f88
+FR_N_0_fix        = f89
+FR_Inv_P_0        = f90
+FR_d_2            = f93
+FR_P_0            = f95
+FR_C_lo           = f96
+FR_PP_1           = f97
+FR_PP_1_lo        = f98
+FR_ArgPrime       = f99
+FR_inexact        = f100
+
+FR_Neg_Two_to_M3  = f109
+FR_Two_to_M3      = f110
+
+FR_poly_hiS       = f66
+FR_poly_hiC       = f112
+
+FR_poly_loS       = f67
+FR_poly_loC       = f113
+
+FR_polyS          = f92
+FR_polyC          = f114
+
+FR_cS             = FR_c
+FR_cC             = f115
+
+FR_corrS          = f91
+FR_corrC          = f116
+
+FR_U_hiC          = f117
+FR_U_loC          = f118
+
+FR_VS             = f75
+FR_VC             = f119
+
+FR_FirstS         = f120
+FR_FirstC         = f121
+
+FR_U_hiS          = FR_U_hi
+FR_U_loS          = FR_U_lo
+
+FR_Tmp            = f94
+
+
+
+
+sincos_pResSin = r34
+sincos_pResCos = r35
+
+GR_sig_inv_pi  = r14
+GR_rshf_2to64  = r15
+GR_exp_2tom64  = r16
+GR_rshf        = r17
+GR_ad_p        = r18
+GR_ad_d        = r19
+GR_ad_pp       = r20
+GR_ad_qq       = r21
+GR_ad_c        = r22
+GR_ad_s        = r23
+GR_ad_ce       = r24
+GR_ad_se       = r25
+GR_ad_m14      = r26
+GR_ad_s1       = r27
+GR_exp_m2_to_m3= r36
+GR_N_Inc       = r37
+GR_Cis         = r38
+GR_signexp_x   = r40
+GR_exp_x       = r40
+GR_exp_mask    = r41
+GR_exp_2_to_63 = r42
+GR_exp_2_to_m3 = r43
+GR_exp_2_to_24 = r44
+
+GR_N_SignS     = r45
+GR_N_SignC     = r46
+GR_N_SinCos    = r47
+
+
+// For unwind support
+GR_SAVE_B0     = r39
+GR_SAVE_GP     = r40
+GR_SAVE_PFS    = r41
+
+
+.section .text
+
+GLOBAL_IEEE754_ENTRY(sincosl)
+{ .mlx  ///////////////////////////// 1 /////////////////
+      alloc r32 = ar.pfs,3,13,2,0
+      movl GR_sig_inv_pi = 0xa2f9836e4e44152a // significand of 1/pi
+}
+{ .mlx
+      mov GR_N_Inc = 0x0
+      movl GR_rshf_2to64 = 0x47e8000000000000 // 1.1000 2^(63+64)
+};;
+
+{ .mfi ///////////////////////////// 2 /////////////////
+      addl           GR_ad_p   = @ltoff(FSINCOSL_CONSTANTS#), gp
+      fclass.m p6, p0 =  FR_Input_X, 0x1E3 // Test x natval, nan, inf
+      mov GR_exp_2_to_m3 = 0xffff - 3      // Exponent of 2^-3
+}
+{ .mfb
+      mov GR_Cis = 0x0
+      fnorm.s1 FR_norm_x = FR_Input_X      // Normalize x
+    br.cond.sptk _COMMON_SINCOSL
+};;
+GLOBAL_IEEE754_END(sincosl)
+
+LOCAL_LIBM_ENTRY(cisl)
+LOCAL_LIBM_END(cisl)
+GLOBAL_LIBM_ENTRY(__libm_sincosl)
+{ .mlx  ///////////////////////////// 1 /////////////////
+      alloc r32 = ar.pfs,3,14,2,0
+      movl GR_sig_inv_pi = 0xa2f9836e4e44152a // significand of 1/pi
+}
+{ .mlx
+      mov GR_N_Inc = 0x0
+      movl GR_rshf_2to64 = 0x47e8000000000000 // 1.1000 2^(63+64)
+};;
+
+{ .mfi ///////////////////////////// 2 /////////////////
+      addl           GR_ad_p   = @ltoff(FSINCOSL_CONSTANTS#), gp
+      fclass.m p6, p0 =  FR_Input_X, 0x1E3 // Test x natval, nan, inf
+      mov GR_exp_2_to_m3 = 0xffff - 3      // Exponent of 2^-3
+}
+{ .mfb
+      mov GR_Cis = 0x1
+      fnorm.s1 FR_norm_x = FR_Input_X      // Normalize x
+      nop.b 0
+};;
+
+_COMMON_SINCOSL:
+{ .mfi ///////////////////////////// 3 /////////////////
+      setf.sig FR_inv_pi_2to63 = GR_sig_inv_pi // Form 1/pi * 2^63
+      nop.f 0
+      mov GR_exp_2tom64 = 0xffff - 64      // Scaling constant to compute N
+}
+{ .mlx
+      setf.d FR_rshf_2to64 = GR_rshf_2to64    // Form const 1.1000 * 2^(63+64)
+      movl GR_rshf = 0x43e8000000000000       // Form const 1.1000 * 2^63
+};;
+
+{ .mfi ///////////////////////////// 4 /////////////////
+      ld8 GR_ad_p = [GR_ad_p]              // Point to Inv_pi_by_2
+      fclass.m p7, p0 = FR_Input_X, 0x0b   // Test x denormal
+      nop.i 0
+};;
+
+{ .mfi    ///////////////////////////// 5 /////////////////
+      getf.exp GR_signexp_x = FR_Input_X   // Get sign and exponent of x
+      fclass.m p10, p0 = FR_Input_X, 0x007 // Test x zero
+      nop.i 0
+}
+{ .mib
+      mov GR_exp_mask = 0x1ffff            // Exponent mask
+      nop.i 0
+(p6)  br.cond.spnt SINCOSL_SPECIAL         // Branch if x natval, nan, inf
+};;
+
+{ .mfi ///////////////////////////// 6 /////////////////
+      setf.exp FR_2tom64 = GR_exp_2tom64   // Form 2^-64 for scaling N_float
+      nop.f 0
+      add GR_ad_d = 0x70, GR_ad_p          // Point to constant table d
+}
+{ .mib
+      setf.d FR_rshf = GR_rshf         // Form right shift const 1.1000 * 2^63
+      mov  GR_exp_m2_to_m3 = 0x2fffc       // Form -(2^-3)
+(p7)  br.cond.spnt SINCOSL_DENORMAL        // Branch if x denormal
+};;
+
+SINCOSL_COMMON2:
+{ .mfi ///////////////////////////// 7 /////////////////
+      and GR_exp_x = GR_exp_mask, GR_signexp_x // Get exponent of x
+      fclass.nm p8, p0 = FR_Input_X, 0x1FF // Test x unsupported type
+      mov GR_exp_2_to_63 = 0xffff + 63     // Exponent of 2^63
+}
+{ .mib
+      add GR_ad_pp = 0x40, GR_ad_d         // Point to constant table pp
+      mov GR_exp_2_to_24 = 0xffff + 24     // Exponent of 2^24
+(p10) br.cond.spnt SINCOSL_ZERO            // Branch if x zero
+};;
+
+{ .mfi ///////////////////////////// 8 /////////////////
+      ldfe FR_Inv_pi_by_2 = [GR_ad_p], 16  // Load 2/pi
+      fcmp.eq.s0 p15, p0 = FR_Input_X, f0  // Dummy to set denormal
+      add GR_ad_qq = 0xa0, GR_ad_pp        // Point to constant table qq
+}
+{ .mfi
+      ldfe FR_Pi_by_4 = [GR_ad_d], 16      // Load pi/4 for range test
+      nop.f 0
+      cmp.ge p10,p0 = GR_exp_x, GR_exp_2_to_63   // Is |x| >= 2^63
+};;
+
+{ .mfi ///////////////////////////// 9 /////////////////
+      ldfe FR_P_0 = [GR_ad_p], 16          // Load P_0 for pi/4 <= |x| < 2^63
+      fmerge.s FR_abs_x = f1, FR_norm_x    // |x|
+      add GR_ad_c = 0x90, GR_ad_qq         // Point to constant table c
+}
+{ .mfi
+      ldfe FR_Inv_P_0 = [GR_ad_d], 16      // Load 1/P_0 for pi/4 <= |x| < 2^63
+      nop.f 0
+      cmp.ge p7,p0 = GR_exp_x, GR_exp_2_to_24   // Is |x| >= 2^24
+};;
+
+{ .mfi ///////////////////////////// 10 /////////////////
+      ldfe FR_P_1 = [GR_ad_p], 16          // Load P_1 for pi/4 <= |x| < 2^63
+      nop.f 0
+      add GR_ad_s = 0x50, GR_ad_c          // Point to constant table s
+}
+{ .mfi
+      ldfe FR_PP_8 = [GR_ad_pp], 16        // Load PP_8 for 2^-3 < |r| < pi/4
+      nop.f 0
+      nop.i 0
+};;
+
+{ .mfi ///////////////////////////// 11 /////////////////
+      ldfe FR_P_2 = [GR_ad_p], 16          // Load P_2 for pi/4 <= |x| < 2^63
+      nop.f 0
+      add GR_ad_ce = 0x40, GR_ad_c         // Point to end of constant table c
+}
+{ .mfi
+      ldfe FR_QQ_8 = [GR_ad_qq], 16        // Load QQ_8 for 2^-3 < |r| < pi/4
+      nop.f 0
+      nop.i 0
+};;
+
+{ .mfi ///////////////////////////// 12 /////////////////
+      ldfe FR_QQ_7 = [GR_ad_qq], 16        // Load QQ_7 for 2^-3 < |r| < pi/4
+      fma.s1  FR_N_float_signif = FR_Input_X, FR_inv_pi_2to63, FR_rshf_2to64
+      add GR_ad_se = 0x40, GR_ad_s         // Point to end of constant table s
+}
+{ .mib
+      ldfe FR_PP_7 = [GR_ad_pp], 16        // Load PP_7 for 2^-3 < |r| < pi/4
+      mov GR_ad_s1 = GR_ad_s               // Save pointer to S_1
+(p10) br.cond.spnt SINCOSL_ARG_TOO_LARGE   // Branch if |x| >= 2^63
+                                           // Use Payne-Hanek Reduction
+};;
+
+{ .mfi ///////////////////////////// 13 /////////////////
+      ldfe FR_P_3 = [GR_ad_p], 16          // Load P_3 for pi/4 <= |x| < 2^63
+      fmerge.se FR_r = FR_norm_x, FR_norm_x // r = x, in case |x| < pi/4
+      add GR_ad_m14 = 0x50, GR_ad_s        // Point to constant table m14
+}
+{ .mfb
+      ldfps FR_Two_to_M3, FR_Neg_Two_to_M3 = [GR_ad_d], 8
+      fma.s1 FR_rsq = FR_norm_x, FR_norm_x, f0 // rsq = x*x, in case |x| < pi/4
+(p7)  br.cond.spnt SINCOSL_LARGER_ARG      // Branch if 2^24 <= |x| < 2^63
+                                           // Use pre-reduction
+};;
+
+{ .mmf ///////////////////////////// 14 /////////////////
+      ldfe FR_PP_6 = [GR_ad_pp], 16       // Load PP_6 for normal path
+      ldfe FR_QQ_6 = [GR_ad_qq], 16       // Load QQ_6 for normal path
+      fmerge.se FR_c = f0, f0             // c = 0 in case |x| < pi/4
+};;
+
+{ .mmf ///////////////////////////// 15 /////////////////
+      ldfe FR_PP_5 = [GR_ad_pp], 16       // Load PP_5 for normal path
+      ldfe FR_QQ_5 = [GR_ad_qq], 16       // Load QQ_5 for normal path
+      nop.f 0
+};;
+
+// Here if 0 < |x| < 2^24
+{ .mfi ///////////////////////////// 17 /////////////////
+      ldfe FR_S_5 = [GR_ad_se], -16       // Load S_5 if i_1=0
+      fcmp.lt.s1  p6, p7 = FR_abs_x, FR_Pi_by_4  // Test |x| < pi/4
+      nop.i 0
+}
+{ .mfi
+      ldfe FR_C_5 = [GR_ad_ce], -16       // Load C_5 if i_1=1
+      fms.s1 FR_N_float = FR_N_float_signif, FR_2tom64, FR_rshf
+      nop.i 0
+};;
+
+{ .mmi ///////////////////////////// 18 /////////////////
+      ldfe FR_S_4 = [GR_ad_se], -16       // Load S_4 if i_1=0
+      ldfe FR_C_4 = [GR_ad_ce], -16       // Load C_4 if i_1=1
+      nop.i 0
+};;
+
+//
+//     N  = Arg * 2/pi
+//     Check if Arg < pi/4
+//
+//
+//     Case 2: Convert integer N_fix back to normalized floating-point value.
+//     Case 1: p8 is only affected  when p6 is set
+//
+//
+//     Grab the integer part of N and call it N_fix
+//
+{ .mfi ///////////////////////////// 19 /////////////////
+(p7)  ldfps FR_Two_to_M33, FR_Neg_Two_to_M33 = [GR_ad_d], 8
+(p6)  fma.s1 FR_r_cubed = FR_r, FR_rsq, f0        // r^3 if |x| < pi/4
+(p6)  mov GR_N_Inc = 0x0                         // N_IncS if |x| < pi/4
+};;
+
+//     If |x| < pi/4, r = x and c = 0
+//     lf |x| < pi/4, is x < 2**(-3).
+//     r = Arg
+//     c = 0
+{ .mmi ///////////////////////////// 20 /////////////////
+(p7)  getf.sig  GR_N_Inc = FR_N_float_signif
+      nop.m 0
+(p6)  cmp.lt.unc p8,p0 = GR_exp_x, GR_exp_2_to_m3   // Is |x| < 2^-3
+};;
+
+//
+//     lf |x| < pi/4, is -2**(-3)< x < 2**(-3) - set p8.
+//     If |x| >= pi/4,
+//     Create the right N for |x| < pi/4 and otherwise
+//     Case 2: Place integer part of N in GP register
+//
+
+{ .mbb ///////////////////////////// 21 /////////////////
+      nop.m 0
+(p8)  br.cond.spnt SINCOSL_SMALL_R_0    // Branch if 0 < |x| < 2^-3
+(p6)  br.cond.spnt SINCOSL_NORMAL_R_0   // Branch if 2^-3 <= |x| < pi/4
+};;
+
+// Here if pi/4 <= |x| < 2^24
+{ .mfi
+      ldfs FR_Neg_Two_to_M67 = [GR_ad_d], 8     // Load -2^-67
+      fnma.s1 FR_s = FR_N_float, FR_P_1, FR_Input_X // s = -N * P_1  + Arg
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+      fma.s1 FR_w = FR_N_float, FR_P_2, f0      // w = N * P_2
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      fms.s1 FR_r = FR_s, f1, FR_w        // r = s - w, assume |s| >= 2^-33
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      fcmp.lt.s1 p7, p6 = FR_s, FR_Two_to_M33
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+(p7)  fcmp.gt.s1 p7, p6 = FR_s, FR_Neg_Two_to_M33 // p6 if |s| >= 2^-33, else p7
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      fms.s1 FR_c = FR_s, f1, FR_r             // c = s - r, for |s| >= 2^-33
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+      fma.s1 FR_rsq = FR_r, FR_r, f0           // rsq = r * r, for |s| >= 2^-33
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+(p7)  fma.s1 FR_w = FR_N_float, FR_P_3, f0
+      nop.i 0
+};;
+
+{ .mmf
+      ldfe FR_C_1 = [GR_ad_pp], 16     // Load C_1 if i_1=0
+      ldfe FR_S_1 = [GR_ad_qq], 16     // Load S_1 if i_1=1
+      frcpa.s1 FR_r_hi, p15 = f1, FR_r  // r_hi = frcpa(r)
+};;
+
+{ .mfi
+      nop.m 0
+(p6)  fcmp.lt.unc.s1 p8, p13 = FR_r, FR_Two_to_M3 // If big s, test r with 2^-3
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+(p7)  fma.s1 FR_U_1 = FR_N_float, FR_P_2, FR_w
+      nop.i 0
+};;
+
+//
+//     For big s: r = s - w: No futher reduction is necessary
+//     For small s: w = N * P_3 (change sign) More reduction
+//
+{ .mfi
+    nop.m 0
+(p8)  fcmp.gt.s1 p8, p13 = FR_r, FR_Neg_Two_to_M3 // If big s, p8 if |r| < 2^-3
+    nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      fma.s1 FR_polyS = FR_rsq, FR_PP_8, FR_PP_7 // poly = rsq*PP_8+PP_7
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+      fma.s1 FR_polyC = FR_rsq, FR_QQ_8, FR_QQ_7 // poly = rsq*QQ_8+QQ_7
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+(p7)  fms.s1 FR_r = FR_s, f1, FR_U_1
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+(p6)  fma.s1 FR_r_cubed = FR_r, FR_rsq, f0  // rcubed = r * rsq
+      nop.i 0
+};;
+
+{ .mfi
+//
+//     For big s: Is |r| < 2**(-3)?
+//     For big s: c = S - r
+//     For small s: U_1 = N * P_2 + w
+//
+//     If p8 is set, prepare to branch to Small_R.
+//     If p9 is set, prepare to branch to Normal_R.
+//     For big s,  r is complete here.
+//
+//
+//     For big s: c = c + w (w has not been negated.)
+//     For small s: r = S - U_1
+//
+      nop.m 0
+(p6)  fms.s1 FR_c = FR_c, f1, FR_w
+      nop.i 0
+}
+{ .mbb
+      nop.m 0
+(p8)  br.cond.spnt  SINCOSL_SMALL_R_1  // Branch if |s|>=2^-33, |r| < 2^-3,
+                                       // and pi/4 <= |x| < 2^24
+(p13) br.cond.sptk  SINCOSL_NORMAL_R_1 // Branch if |s|>=2^-33, |r| >= 2^-3,
+                                       // and pi/4 <= |x| < 2^24
+};;
+
+SINCOSL_S_TINY:
+//
+// Here if |s| < 2^-33, and pi/4 <= |x| < 2^24
+//
+{ .mfi
+       and GR_N_SinCos = 0x1, GR_N_Inc
+       fms.s1 FR_U_2 = FR_N_float, FR_P_2, FR_U_1
+       tbit.z p8,p12       = GR_N_Inc, 0
+};;
+
+
+//
+//     For small s: U_2 = N * P_2 - U_1
+//     S_1 stored constant - grab the one stored with the
+//     coefficients.
+//
+{ .mfi
+      ldfe      FR_S_1 = [GR_ad_s1], 16
+      fma.s1  FR_polyC = f0, f1, FR_Neg_Two_to_M67
+      sub GR_N_SignS =  GR_N_Inc, GR_N_SinCos
+}
+{ .mfi
+      add GR_N_SignC =  GR_N_Inc, GR_N_SinCos
+      nop.f 0
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      fms.s1  FR_s = FR_s, f1, FR_r
+(p8)  tbit.z.unc p10,p11   = GR_N_SignC, 1
+}
+{ .mfi
+      nop.m 0
+      fma.s1  FR_rsq = FR_r, FR_r, f0
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      fma.s1  FR_U_2 = FR_U_2, f1, FR_w
+(p8)  tbit.z.unc p8,p9    = GR_N_SignS, 1
+};;
+
+{ .mfi
+      nop.m 0
+      fmerge.se FR_FirstS = FR_r, FR_r
+(p12) tbit.z.unc p14,p15  = GR_N_SignC, 1
+}
+{ .mfi
+      nop.m 0
+      fma.s1 FR_FirstC = f0, f1, f1
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      fms.s1  FR_c = FR_s, f1, FR_U_1
+(p12) tbit.z.unc p12,p13  = GR_N_SignS, 1
+};;
+
+{ .mfi
+      nop.m 0
+      fma.s1  FR_r = FR_S_1, FR_r, f0
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      fma.s0  FR_S_1 = FR_S_1, FR_S_1, f0
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      fms.s1 FR_c = FR_c, f1, FR_U_2
+      nop.i 0
+};;
+
+.pred.rel "mutex",p9,p15
+{ .mfi
+      nop.m 0
+(p9)  fms.s0 FR_FirstS   = f1, f0, FR_FirstS
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+(p15) fms.s0 FR_FirstS   = f1, f0, FR_FirstS
+      nop.i 0
+};;
+
+.pred.rel "mutex",p11,p13
+{ .mfi
+      nop.m 0
+(p11) fms.s0 FR_FirstC   = f1, f0, FR_FirstC
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+(p13) fms.s0 FR_FirstC   = f1, f0, FR_FirstC
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      fma.s1 FR_polyS = FR_r, FR_rsq, FR_c
+      nop.i 0
+};;
+
+
+.pred.rel "mutex",p8,p9
+{ .mfi
+      nop.m 0
+(p8)  fma.s0 FR_ResultS = FR_FirstS, f1, FR_polyS
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+(p9)  fms.s0 FR_ResultS = FR_FirstS, f1, FR_polyS
+      nop.i 0
+};;
+
+.pred.rel "mutex",p10,p11
+{ .mfi
+      nop.m 0
+(p10) fma.s0 FR_ResultC = FR_FirstC, f1, FR_polyC
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+(p11) fms.s0 FR_ResultC = FR_FirstC, f1, FR_polyC
+      nop.i 0
+};;
+
+
+
+.pred.rel "mutex",p12,p13
+{ .mfi
+      nop.m 0
+(p12) fma.s0 FR_ResultS = FR_FirstC, f1, FR_polyC
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+(p13) fms.s0 FR_ResultS = FR_FirstC, f1, FR_polyC
+      nop.i 0
+};;
+
+.pred.rel "mutex",p14,p15
+{ .mfi
+      nop.m 0
+(p14) fma.s0 FR_ResultC = FR_FirstS, f1, FR_polyS
+      nop.i 0
+}
+{ .mfb
+      cmp.eq  p10, p0 = 0x1, GR_Cis
+(p15) fms.s0 FR_ResultC = FR_FirstS, f1, FR_polyS
+(p10) br.ret.sptk               b0
+};;
+
+{ .mmb       // exit for sincosl
+      stfe  [sincos_pResSin] =  FR_ResultS
+      stfe  [sincos_pResCos] =  FR_ResultC
+      br.ret.sptk               b0
+};;
+
+
+
+
+
+
+SINCOSL_LARGER_ARG:
+//
+// Here if 2^24 <= |x| < 2^63
+//
+{ .mfi
+      ldfe FR_d_1 = [GR_ad_p], 16          // Load d_1 for |x| >= 2^24 path
+      fma.s1 FR_N_0 = FR_Input_X, FR_Inv_P_0, f0 //     N_0 = Arg * Inv_P_0
+      nop.i 0
+};;
+
+{ .mmi
+      ldfps FR_Two_to_M14, FR_Neg_Two_to_M14 = [GR_ad_m14]
+      nop.m 0
+      nop.i 0
+};;
+
+{ .mfi
+      ldfe FR_d_2 = [GR_ad_p], 16          // Load d_2 for |x| >= 2^24 path
+      nop.f 0
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      fcvt.fx.s1 FR_N_0_fix = FR_N_0 // N_0_fix  = integer part of N_0
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      fcvt.xf FR_N_0 = FR_N_0_fix //     Make N_0 the integer part
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      fnma.s1 FR_ArgPrime = FR_N_0, FR_P_0, FR_Input_X // Arg'=-N_0*P_0+Arg
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+      fma.s1 FR_w = FR_N_0, FR_d_1, f0 //     w  = N_0 * d_1
+      nop.i 0
+};;
+
+
+{ .mfi
+      nop.m 0
+      fma.s1 FR_N_float = FR_ArgPrime, FR_Inv_pi_by_2, f0 //  N = A' * 2/pi
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      fcvt.fx.s1 FR_N_fix = FR_N_float //     N_fix is the integer part
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      fcvt.xf FR_N_float = FR_N_fix
+      nop.i 0
+};;
+
+{ .mfi
+      getf.sig GR_N_Inc = FR_N_fix // N is the integer part of
+                                 // the reduced-reduced argument
+      nop.f 0
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      fnma.s1 FR_s = FR_N_float, FR_P_1, FR_ArgPrime //     s = -N*P_1 + Arg'
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+      fnma.s1 FR_w = FR_N_float, FR_P_2, FR_w //     w = -N*P_2 + w
+      nop.i 0
+};;
+
+//
+//     For |s|  > 2**(-14) r = S + w (r complete)
+//     Else       U_hi = N_0 * d_1
+//
+{ .mfi
+      nop.m 0
+      fcmp.lt.unc.s1 p9, p8 = FR_s, FR_Two_to_M14
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+(p9)  fcmp.gt.s1 p9, p8 = FR_s, FR_Neg_Two_to_M14  // p9 if |s| < 2^-14
+      nop.i 0
+};;
+
+//
+//     Either S <= -2**(-14) or S >= 2**(-14)
+//     or -2**(-14) < s < 2**(-14)
+//
+{ .mfi
+      nop.m 0
+(p9)  fma.s1 FR_V_hi = FR_N_float, FR_P_2, f0
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+(p9)  fma.s1 FR_U_hi = FR_N_0, FR_d_1, f0
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+(p8)  fma.s1 FR_r = FR_s, f1, FR_w
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+(p9)  fma.s1 FR_w = FR_N_float, FR_P_3, f0
+      nop.i 0
+};;
+
+//
+//    We need abs of both U_hi and V_hi - don't
+//    worry about switched sign of V_hi.
+//
+//    Big s: finish up c = (S - r) + w (c complete)
+//    Case 4: A =  U_hi + V_hi
+//    Note: Worry about switched sign of V_hi, so subtract instead of add.
+//
+{ .mfi
+      nop.m 0
+(p9)  fms.s1 FR_A = FR_U_hi, f1, FR_V_hi
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+(p9)  fnma.s1 FR_V_lo = FR_N_float, FR_P_2, FR_V_hi
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+(p9)  fmerge.s FR_V_hiabs = f0, FR_V_hi
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+(p9)  fms.s1 FR_U_lo = FR_N_0, FR_d_1, FR_U_hi // For small s: U_lo=N_0*d_1-U_hi
+      nop.i 0
+};;
+
+//
+//    For big s: Is |r| < 2**(-3)
+//    For big s: if p12 set, prepare to branch to Small_R.
+//    For big s: If p13 set, prepare to branch to Normal_R.
+//
+{ .mfi
+      nop.m 0
+(p9)  fmerge.s FR_U_hiabs = f0, FR_U_hi
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+(p8)  fms.s1 FR_c = FR_s, f1, FR_r  //     For big s: c = S - r
+      nop.i 0
+};;
+
+//
+//    For small S: V_hi = N * P_2
+//                 w = N * P_3
+//    Note the product does not include the (-) as in the writeup
+//    so (-) missing for V_hi and w.
+//
+{ .mfi
+      nop.m 0
+(p8)  fcmp.lt.unc.s1 p12, p13 = FR_r, FR_Two_to_M3
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+(p12) fcmp.gt.s1 p12, p13 = FR_r, FR_Neg_Two_to_M3
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+(p8)  fma.s1 FR_c = FR_c, f1, FR_w
+      nop.i 0
+}
+{ .mfb
+      nop.m 0
+(p9)  fms.s1 FR_w = FR_N_0, FR_d_2, FR_w
+(p12) br.cond.spnt SINCOSL_SMALL_R      // Branch if |r| < 2^-3
+                                        // and 2^24 <= |x| < 2^63
+};;
+
+{ .mib
+      nop.m 0
+      nop.i 0
+(p13) br.cond.sptk SINCOSL_NORMAL_R     // Branch if |r| >= 2^-3
+                                        // and 2^24 <= |x| < 2^63
+};;
+
+SINCOSL_LARGER_S_TINY:
+//    Here if |s| < 2^-14, and 2^24 <= |x| < 2^63
+//
+//    Big s: Vector off when |r| < 2**(-3).  Recall that p8 will be true.
+//    The remaining stuff is for Case 4.
+//    Small s: V_lo = N * P_2 + U_hi (U_hi is in place of V_hi in writeup)
+//    Note: the (-) is still missing for V_lo.
+//    Small s: w = w + N_0 * d_2
+//    Note: the (-) is now incorporated in w.
+//
+{ .mfi
+      and GR_N_SinCos = 0x1, GR_N_Inc
+      fcmp.ge.unc.s1 p6, p7 = FR_U_hiabs, FR_V_hiabs
+      tbit.z p8,p12       = GR_N_Inc, 0
+}
+{ .mfi
+      nop.m 0
+      fma.s1 FR_t = FR_U_lo, f1, FR_V_lo //     C_hi = S + A
+      nop.i 0
+};;
+
+{ .mfi
+      sub GR_N_SignS =  GR_N_Inc, GR_N_SinCos
+(p6)  fms.s1 FR_a = FR_U_hi, f1, FR_A
+      add GR_N_SignC =  GR_N_Inc, GR_N_SinCos
+}
+{ .mfi
+      nop.m 0
+(p7)  fma.s1 FR_a = FR_V_hi, f1, FR_A
+      nop.i 0
+};;
+
+{ .mmf
+      ldfe FR_C_1 = [GR_ad_c], 16
+      ldfe  FR_S_1 = [GR_ad_s], 16
+      fma.s1 FR_C_hi = FR_s, f1, FR_A
+};;
+
+{ .mmi
+      ldfe FR_C_2 = [GR_ad_c], 64
+      ldfe FR_S_2 = [GR_ad_s], 64
+(p8)  tbit.z.unc p10,p11   = GR_N_SignC, 1
+};;
+
+//
+//    r and c have been computed.
+//    Make sure ftz mode is set - should be automatic when using wre
+//    |r| < 2**(-3)
+//    Get [i_0,i_1] - two lsb of N_fix.
+//
+//    For larger u than v: a = U_hi - A
+//    Else a = V_hi - A (do an add to account for missing (-) on V_hi
+//
+{ .mfi
+      nop.m 0
+      fma.s1 FR_t = FR_t, f1, FR_w //     t = t + w
+(p8)  tbit.z.unc p8,p9    = GR_N_SignS, 1
+}
+{ .mfi
+      nop.m 0
+(p6)  fms.s1 FR_a = FR_a, f1, FR_V_hi
+      nop.i 0
+};;
+
+//
+//     If u > v: a = (U_hi - A)  + V_hi
+//     Else      a = (V_hi - A)  + U_hi
+//     In each case account for negative missing from V_hi.
+//
+{ .mfi
+      nop.m 0
+      fms.s1 FR_C_lo = FR_s, f1, FR_C_hi
+(p12) tbit.z.unc p14,p15  = GR_N_SignC, 1
+}
+{ .mfi
+      nop.m 0
+(p7)  fms.s1 FR_a = FR_U_hi, f1, FR_a
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      fma.s1 FR_C_lo = FR_C_lo, f1, FR_A //     C_lo = (S - C_hi) + A
+(p12) tbit.z.unc p12,p13  = GR_N_SignS, 1
+}
+{ .mfi
+      nop.m 0
+      fma.s1 FR_t = FR_t, f1, FR_a //     t = t + a
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      fma.s1 FR_r = FR_C_hi, f1, FR_C_lo
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      fma.s1 FR_C_lo = FR_C_lo, f1, FR_t //     C_lo = C_lo + t
+      nop.i 0
+};;
+
+
+{ .mfi
+      nop.m 0
+      fma.s1 FR_rsq = FR_r, FR_r, f0
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+      fms.s1 FR_c = FR_C_hi, f1, FR_r
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      fma.s1 FR_FirstS = f0, f1, FR_r
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+      fma.s1 FR_FirstC = f0, f1, f1
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      fma.s1 FR_polyS = FR_rsq, FR_S_2, FR_S_1
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+      fma.s1 FR_polyC = FR_rsq, FR_C_2, FR_C_1
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      fma.s1 FR_r_cubed = FR_rsq, FR_r, f0
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+      fma.s1 FR_c = FR_c, f1, FR_C_lo
+      nop.i 0
+};;
+
+.pred.rel "mutex",p9,p15
+{ .mfi
+      nop.m 0
+(p9)  fms.s0 FR_FirstS   = f1, f0, FR_FirstS
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+(p15) fms.s0 FR_FirstS   = f1, f0, FR_FirstS
+      nop.i 0
+};;
+
+.pred.rel "mutex",p11,p13
+{ .mfi
+      nop.m 0
+(p11) fms.s0 FR_FirstC   = f1, f0, FR_FirstC
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+(p13) fms.s0 FR_FirstC   = f1, f0, FR_FirstC
+      nop.i 0
+};;
+
+
+{ .mfi
+      nop.m 0
+      fma.s1 FR_polyS = FR_r_cubed, FR_polyS, FR_c
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+      fma.s1 FR_polyC = FR_rsq, FR_polyC, f0
+      nop.i 0
+};;
+
+
+
+.pred.rel "mutex",p8,p9
+{ .mfi
+      nop.m 0
+(p8)  fma.s0 FR_ResultS = FR_FirstS, f1, FR_polyS
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+(p9)  fms.s0 FR_ResultS = FR_FirstS, f1, FR_polyS
+      nop.i 0
+};;
+
+.pred.rel "mutex",p10,p11
+{ .mfi
+      nop.m 0
+(p10) fma.s0 FR_ResultC = FR_FirstC, f1, FR_polyC
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+(p11) fms.s0 FR_ResultC = FR_FirstC, f1, FR_polyC
+      nop.i 0
+};;
+
+
+
+.pred.rel "mutex",p12,p13
+{ .mfi
+      nop.m 0
+(p12) fma.s0 FR_ResultS = FR_FirstC, f1, FR_polyC
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+(p13) fms.s0 FR_ResultS = FR_FirstC, f1, FR_polyC
+      nop.i 0
+};;
+
+.pred.rel "mutex",p14,p15
+{ .mfi
+      nop.m 0
+(p14) fma.s0 FR_ResultC = FR_FirstS, f1, FR_polyS
+      nop.i 0
+}
+{ .mfb
+      cmp.eq  p10, p0 = 0x1, GR_Cis
+(p15) fms.s0 FR_ResultC = FR_FirstS, f1, FR_polyS
+(p10) br.ret.sptk               b0
+};;
+
+
+{ .mmb       // exit for sincosl
+      stfe  [sincos_pResSin] =  FR_ResultS
+      stfe  [sincos_pResCos] =  FR_ResultC
+      br.ret.sptk               b0
+};;
+
+
+
+SINCOSL_SMALL_R:
+//
+// Here if |r| < 2^-3
+//
+// Enter with r, c, and N_Inc computed
+//
+{ .mfi
+      nop.m 0
+      fma.s1 FR_rsq = FR_r, FR_r, f0   // rsq = r * r
+      nop.i 0
+};;
+
+{ .mmi
+      ldfe FR_S_5 = [GR_ad_se], -16    // Load S_5
+      ldfe FR_C_5 = [GR_ad_ce], -16    // Load C_5
+      nop.i 0
+};;
+
+{ .mmi
+      ldfe FR_S_4 = [GR_ad_se], -16    // Load S_4
+      ldfe FR_C_4 = [GR_ad_ce], -16    // Load C_4
+      nop.i 0
+};;
+
+SINCOSL_SMALL_R_0:
+// Entry point for 2^-3 < |x| < pi/4
+SINCOSL_SMALL_R_1:
+// Entry point for pi/4 < |x| < 2^24 and |r| < 2^-3
+{ .mfi
+      ldfe   FR_S_3 = [GR_ad_se], -16    // Load S_3
+      fma.s1 FR_r6  = FR_rsq, FR_rsq, f0 // Z = rsq * rsq
+      tbit.z p7,p11       = GR_N_Inc, 0
+}
+{ .mfi
+      ldfe    FR_C_3 = [GR_ad_ce], -16   // Load C_3
+      nop.f 0
+      and GR_N_SinCos = 0x1, GR_N_Inc
+};;
+
+{ .mfi
+      ldfe   FR_S_2 = [GR_ad_se], -16    // Load S_2
+      fnma.s1 FR_cC = FR_c, FR_r, f0     // c = -c * r
+      sub GR_N_SignS =  GR_N_Inc, GR_N_SinCos
+}
+{ .mfi
+      ldfe   FR_C_2 = [GR_ad_ce], -16    // Load C_2
+      nop.f 0
+      add GR_N_SignC =  GR_N_Inc, GR_N_SinCos
+};;
+
+{ .mmi
+      ldfe FR_S_1 = [GR_ad_se], -16    // Load S_1
+      ldfe FR_C_1 = [GR_ad_ce], -16    // Load C_1
+(p7)  tbit.z.unc p9,p10   = GR_N_SignC, 1
+};;
+
+{ .mfi
+      nop.m 0
+      fma.s1 FR_r7 = FR_r6, FR_r, f0     // Z = Z * r
+(p7)  tbit.z.unc p7,p8    = GR_N_SignS, 1
+};;
+
+{ .mfi
+      nop.m 0
+      fma.s1 FR_poly_loS = FR_rsq, FR_S_5, FR_S_4 // poly_lo=rsq*S_5+S_4
+(p11) tbit.z.unc p13,p14  = GR_N_SignC, 1
+}
+{ .mfi
+      nop.m 0
+      fma.s1 FR_poly_loC = FR_rsq, FR_C_5, FR_C_4 // poly_lo=rsq*C_5+C_4
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      fma.s1 FR_poly_hiS = FR_rsq, FR_S_2, FR_S_1 // poly_hi=rsq*S_2+S_1
+(p11) tbit.z.unc p11,p12  = GR_N_SignS, 1
+}
+{ .mfi
+      nop.m 0
+      fma.s1 FR_poly_hiC = FR_rsq, FR_C_2, FR_C_1 // poly_hi=rsq*C_2+C_1
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      fma.s0 FR_FirstS = FR_r, f1, f0
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+      fma.s0 FR_FirstC = f1, f1, f0
+      nop.i 0
+};;
+
+
+{ .mfi
+      nop.m 0
+      fma.s1 FR_r6 = FR_r6, FR_rsq, f0
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+      fma.s1 FR_r7 = FR_r7, FR_rsq, f0
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      fma.s1 FR_poly_loS = FR_rsq, FR_poly_loS, FR_S_3 // p_lo=p_lo*rsq+S_3
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+      fma.s1 FR_poly_loC = FR_rsq, FR_poly_loC, FR_C_3 // p_lo=p_lo*rsq+C_3
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      fma.s0 FR_inexact = FR_S_4, FR_S_4, f0     // Dummy op to set inexact
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      fma.s1 FR_poly_hiS = FR_poly_hiS, FR_rsq, f0     // p_hi=p_hi*rsq
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+      fma.s1 FR_poly_hiC = FR_poly_hiC, FR_rsq, f0     // p_hi=p_hi*rsq
+      nop.i 0
+};;
+
+.pred.rel "mutex",p8,p14
+{ .mfi
+      nop.m 0
+(p8)  fms.s0 FR_FirstS   = f1, f0, FR_FirstS
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+(p14) fms.s0 FR_FirstS   = f1, f0, FR_FirstS
+      nop.i 0
+};;
+
+.pred.rel "mutex",p10,p12
+{ .mfi
+      nop.m 0
+(p10) fms.s0 FR_FirstC   = f1, f0, FR_FirstC
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+(p12) fms.s0 FR_FirstC   = f1, f0, FR_FirstC
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      fma.s1 FR_polyS = FR_r7, FR_poly_loS, FR_cS        // poly=Z*poly_lo+c
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+      fma.s1 FR_polyC = FR_r6, FR_poly_loC, FR_cC        // poly=Z*poly_lo+c
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      fma.s1 FR_poly_hiS = FR_r, FR_poly_hiS, f0       // p_hi=r*p_hi
+      nop.i 0
+};;
+
+
+{ .mfi
+      nop.m 0
+      fma.s1 FR_polyS = FR_polyS, f1, FR_poly_hiS
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+      fma.s1 FR_polyC = FR_polyC, f1, FR_poly_hiC
+      nop.i 0
+};;
+
+.pred.rel "mutex",p7,p8
+{ .mfi
+      nop.m 0
+(p7)  fma.s0 FR_ResultS = FR_FirstS, f1, FR_polyS
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+(p8)  fms.s0 FR_ResultS = FR_FirstS, f1, FR_polyS
+      nop.i 0
+};;
+
+.pred.rel "mutex",p9,p10
+{ .mfi
+      nop.m 0
+(p9)  fma.s0 FR_ResultC = FR_FirstC, f1, FR_polyC
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+(p10) fms.s0 FR_ResultC = FR_FirstC, f1, FR_polyC
+      nop.i 0
+};;
+
+.pred.rel "mutex",p11,p12
+{ .mfi
+      nop.m 0
+(p11) fma.s0 FR_ResultS = FR_FirstC, f1, FR_polyC
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+(p12) fms.s0 FR_ResultS = FR_FirstC, f1, FR_polyC
+      nop.i 0
+};;
+
+.pred.rel "mutex",p13,p14
+{ .mfi
+      nop.m 0
+(p13) fma.s0 FR_ResultC = FR_FirstS, f1, FR_polyS
+      nop.i 0
+}
+{ .mfb
+      cmp.eq  p15, p0 = 0x1, GR_Cis
+(p14) fms.s0 FR_ResultC = FR_FirstS, f1, FR_polyS
+(p15) br.ret.sptk               b0
+};;
+
+
+{ .mmb       // exit for sincosl
+      stfe  [sincos_pResSin] =  FR_ResultS
+      stfe  [sincos_pResCos] =  FR_ResultC
+      br.ret.sptk               b0
+};;
+
+
+
+
+
+
+SINCOSL_NORMAL_R:
+//
+// Here if 2^-3 <= |r| < pi/4
+// THIS IS THE MAIN PATH
+//
+// Enter with r, c, and N_Inc having been computed
+//
+{ .mfi
+      ldfe FR_PP_6 = [GR_ad_pp], 16    // Load PP_6
+      fma.s1 FR_rsq = FR_r, FR_r, f0   // rsq = r * r
+      nop.i 0
+}
+{ .mfi
+      ldfe FR_QQ_6 = [GR_ad_qq], 16    // Load QQ_6
+      nop.f 0
+      nop.i 0
+};;
+
+{ .mmi
+      ldfe FR_PP_5 = [GR_ad_pp], 16    // Load PP_5
+      ldfe FR_QQ_5 = [GR_ad_qq], 16    // Load QQ_5
+      nop.i 0
+};;
+
+
+
+SINCOSL_NORMAL_R_0:
+// Entry for 2^-3 < |x| < pi/4
+.pred.rel "mutex",p9,p10
+{ .mmf
+      ldfe FR_C_1 = [GR_ad_pp], 16     // Load C_1
+      ldfe FR_S_1 = [GR_ad_qq], 16     // Load S_1
+      frcpa.s1 FR_r_hi, p6 = f1, FR_r  // r_hi = frcpa(r)
+};;
+
+{ .mfi
+      nop.m 0
+      fma.s1 FR_polyS = FR_rsq, FR_PP_8, FR_PP_7 // poly = rsq*PP_8+PP_7
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+      fma.s1 FR_polyC = FR_rsq, FR_QQ_8, FR_QQ_7 // poly = rsq*QQ_8+QQ_7
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      fma.s1 FR_r_cubed = FR_r, FR_rsq, f0  // rcubed = r * rsq
+      nop.i 0
+};;
+
+
+SINCOSL_NORMAL_R_1:
+// Entry for pi/4 <= |x| < 2^24
+.pred.rel "mutex",p9,p10
+{ .mmf
+      ldfe FR_PP_1 = [GR_ad_pp], 16             // Load PP_1_hi
+      ldfe FR_QQ_1 = [GR_ad_qq], 16             // Load QQ_1
+      frcpa.s1 FR_r_hi, p6 = f1, FR_r_hi        // r_hi = frpca(frcpa(r))
+};;
+
+{ .mfi
+      ldfe FR_PP_4 = [GR_ad_pp], 16             // Load PP_4
+      fma.s1 FR_polyS = FR_rsq, FR_polyS, FR_PP_6 // poly = rsq*poly+PP_6
+      and GR_N_SinCos = 0x1, GR_N_Inc
+}
+{ .mfi
+      ldfe FR_QQ_4 = [GR_ad_qq], 16             // Load QQ_4
+      fma.s1 FR_polyC = FR_rsq, FR_polyC, FR_QQ_6 // poly = rsq*poly+QQ_6
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      fma.s1 FR_corrS = FR_C_1, FR_rsq, f0       // corr = C_1 * rsq
+      sub GR_N_SignS =  GR_N_Inc, GR_N_SinCos
+}
+{ .mfi
+      nop.m 0
+      fma.s1 FR_corrC = FR_S_1, FR_r_cubed, FR_r // corr = S_1 * r^3 + r
+      add GR_N_SignC =  GR_N_Inc, GR_N_SinCos
+};;
+
+{ .mfi
+      ldfe FR_PP_3 = [GR_ad_pp], 16             // Load PP_3
+      fma.s1 FR_r_hi_sq = FR_r_hi, FR_r_hi, f0  // r_hi_sq = r_hi * r_hi
+      tbit.z p7,p11       = GR_N_Inc, 0
+}
+{ .mfi
+      ldfe FR_QQ_3 = [GR_ad_qq], 16             // Load QQ_3
+      fms.s1 FR_r_lo = FR_r, f1, FR_r_hi        // r_lo = r - r_hi
+      nop.i 0
+};;
+
+{ .mfi
+      ldfe FR_PP_2 = [GR_ad_pp], 16             // Load PP_2
+      fma.s1 FR_polyS = FR_rsq, FR_polyS, FR_PP_5 // poly = rsq*poly+PP_5
+(p7)  tbit.z.unc p9,p10   = GR_N_SignC, 1
+}
+{ .mfi
+      ldfe FR_QQ_2 = [GR_ad_qq], 16             // Load QQ_2
+      fma.s1 FR_polyC = FR_rsq, FR_polyC, FR_QQ_5 // poly = rsq*poly+QQ_5
+      nop.i 0
+};;
+
+{ .mfi
+      ldfe FR_PP_1_lo = [GR_ad_pp], 16          // Load PP_1_lo
+      fma.s1 FR_corrS = FR_corrS, FR_c, FR_c      // corr = corr * c + c
+(p7)  tbit.z.unc p7,p8    = GR_N_SignS, 1
+}
+{ .mfi
+      nop.m 0
+      fnma.s1 FR_corrC = FR_corrC, FR_c, f0       // corr = -corr * c
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      fma.s1 FR_U_loS = FR_r, FR_r_hi, FR_r_hi_sq // U_lo = r*r_hi+r_hi_sq
+(p11) tbit.z.unc p13,p14  = GR_N_SignC, 1
+}
+{ .mfi
+      nop.m 0
+      fma.s1 FR_U_loC = FR_r_hi, f1, FR_r        // U_lo = r_hi + r
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      fma.s1 FR_U_hiS = FR_r_hi, FR_r_hi_sq, f0  // U_hi = r_hi*r_hi_sq
+(p11) tbit.z.unc p11,p12  = GR_N_SignS, 1
+}
+{ .mfi
+      nop.m 0
+      fma.s1 FR_U_hiC = FR_QQ_1, FR_r_hi_sq, f1  // U_hi = QQ_1*r_hi_sq+1
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      fma.s1 FR_polyS = FR_rsq, FR_polyS, FR_PP_4 // poly = poly*rsq+PP_4
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+      fma.s1 FR_polyC = FR_rsq, FR_polyC, FR_QQ_4 // poly = poly*rsq+QQ_4
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      fma.s1 FR_U_loS = FR_r, FR_r, FR_U_loS      // U_lo = r * r + U_lo
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+      fma.s1 FR_U_loC = FR_r_lo, FR_U_loC, f0     // U_lo = r_lo * U_lo
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      fma.s1 FR_U_hiS = FR_PP_1, FR_U_hiS, f0     // U_hi = PP_1 * U_hi
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      fma.s1 FR_polyS = FR_rsq, FR_polyS, FR_PP_3 // poly = poly*rsq+PP_3
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+      fma.s1 FR_polyC = FR_rsq, FR_polyC, FR_QQ_3 // poly = poly*rsq+QQ_3
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      fma.s1 FR_U_loS = FR_r_lo, FR_U_loS, f0     // U_lo = r_lo * U_lo
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+      fma.s1 FR_U_loC = FR_QQ_1,FR_U_loC, f0      // U_lo = QQ_1 * U_lo
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      fma.s1 FR_U_hiS = FR_r, f1, FR_U_hiS        // U_hi = r + U_hi
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      fma.s1 FR_polyS = FR_rsq, FR_polyS, FR_PP_2 // poly = poly*rsq+PP_2
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+      fma.s1 FR_polyC = FR_rsq, FR_polyC, FR_QQ_2 // poly = poly*rsq+QQ_2
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      fma.s1 FR_U_loS = FR_PP_1, FR_U_loS, f0     // U_lo = PP_1 * U_lo
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      fma.s1 FR_polyS = FR_rsq, FR_polyS, FR_PP_1_lo // poly =poly*rsq+PP1lo
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+      fma.s1 FR_polyC = FR_rsq, FR_polyC, f0      // poly = poly*rsq
+      nop.i 0
+};;
+
+
+.pred.rel "mutex",p8,p14
+{ .mfi
+      nop.m 0
+(p8)  fms.s0 FR_U_hiS   = f1, f0, FR_U_hiS
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+(p14) fms.s0 FR_U_hiS   = f1, f0, FR_U_hiS
+      nop.i 0
+};;
+
+.pred.rel "mutex",p10,p12
+{ .mfi
+      nop.m 0
+(p10) fms.s0 FR_U_hiC   = f1, f0, FR_U_hiC
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+(p12) fms.s0 FR_U_hiC   = f1, f0, FR_U_hiC
+      nop.i 0
+};;
+
+
+{ .mfi
+      nop.m 0
+      fma.s1 FR_VS = FR_U_loS, f1, FR_corrS        // V = U_lo + corr
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+      fma.s1 FR_VC = FR_U_loC, f1, FR_corrC        // V = U_lo + corr
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      fma.s0 FR_inexact = FR_PP_5, FR_PP_4, f0  // Dummy op to set inexact
+      nop.i 0
+};;
+
+
+{ .mfi
+      nop.m 0
+      fma.s1 FR_polyS = FR_r_cubed, FR_polyS, f0  // poly = poly*r^3
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+      fma.s1 FR_polyC = FR_rsq, FR_polyC, f0      // poly = poly*rsq
+      nop.i 0
+};;
+
+
+{ .mfi
+      nop.m 0
+      fma.s1 FR_VS = FR_polyS, f1, FR_VS           // V = poly + V
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+      fma.s1 FR_VC = FR_polyC, f1, FR_VC           // V = poly + V
+      nop.i 0
+};;
+
+
+
+.pred.rel "mutex",p7,p8
+{ .mfi
+      nop.m 0
+(p7)  fma.s0 FR_ResultS = FR_U_hiS, f1, FR_VS
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+(p8)  fms.s0 FR_ResultS = FR_U_hiS, f1, FR_VS
+      nop.i 0
+};;
+
+.pred.rel "mutex",p9,p10
+{ .mfi
+      nop.m 0
+(p9)  fma.s0 FR_ResultC = FR_U_hiC, f1, FR_VC
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+(p10) fms.s0 FR_ResultC = FR_U_hiC, f1, FR_VC
+      nop.i 0
+};;
+
+
+
+.pred.rel "mutex",p11,p12
+{ .mfi
+      nop.m 0
+(p11) fma.s0 FR_ResultS = FR_U_hiC, f1, FR_VC
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+(p12) fms.s0 FR_ResultS = FR_U_hiC, f1, FR_VC
+      nop.i 0
+};;
+
+.pred.rel "mutex",p13,p14
+{ .mfi
+      nop.m 0
+(p13) fma.s0 FR_ResultC = FR_U_hiS, f1, FR_VS
+      nop.i 0
+}
+{ .mfb
+      cmp.eq  p15, p0 = 0x1, GR_Cis
+(p14) fms.s0 FR_ResultC = FR_U_hiS, f1, FR_VS
+(p15) br.ret.sptk               b0
+};;
+
+{ .mmb       // exit for sincosl
+      stfe  [sincos_pResSin] =  FR_ResultS
+      stfe  [sincos_pResCos] =  FR_ResultC
+      br.ret.sptk               b0
+};;
+
+
+
+
+
+SINCOSL_ZERO:
+
+{ .mfi
+      nop.m 0
+      fmerge.s FR_ResultS = FR_Input_X, FR_Input_X // If sin, result = input
+      nop.i 0
+}
+{ .mfb
+      cmp.eq  p15, p0 = 0x1, GR_Cis
+      fma.s0 FR_ResultC = f1, f1, f0    // If cos, result=1.0
+(p15) br.ret.sptk               b0
+};;
+
+{ .mmb       // exit for sincosl
+      stfe  [sincos_pResSin] =  FR_ResultS
+      stfe  [sincos_pResCos] =  FR_ResultC
+      br.ret.sptk               b0
+};;
+
+
+SINCOSL_DENORMAL:
+{ .mmb
+      getf.exp GR_signexp_x = FR_norm_x   // Get sign and exponent of x
+      nop.m 999
+      br.cond.sptk  SINCOSL_COMMON2        // Return to common code
+}
+;;
+
+
+SINCOSL_SPECIAL:
+//
+//    Path for Arg = +/- QNaN, SNaN, Inf
+//    Invalid can be raised. SNaNs
+//    become QNaNs
+//
+{ .mfi
+      cmp.eq  p15, p0 = 0x1, GR_Cis
+      fmpy.s0 FR_ResultS = FR_Input_X, f0
+      nop.i 0
+}
+{ .mfb
+      nop.m 0
+      fmpy.s0 FR_ResultC = FR_Input_X, f0
+(p15) br.ret.sptk               b0
+};;
+
+{ .mmb       // exit for sincosl
+      stfe  [sincos_pResSin] =  FR_ResultS
+      stfe  [sincos_pResCos] =  FR_ResultC
+      br.ret.sptk               b0
+};;
+
+GLOBAL_LIBM_END(__libm_sincosl)
+
+// *******************************************************************
+// *******************************************************************
+// *******************************************************************
+//
+//     Special Code to handle very large argument case.
+//     Call int __libm_pi_by_2_reduce(x,r,c) for |arguments| >= 2**63
+//     The interface is custom:
+//       On input:
+//         (Arg or x) is in f8
+//       On output:
+//         r is in f8
+//         c is in f9
+//         N is in r8
+//     Be sure to allocate at least 2 GP registers as output registers for
+//     __libm_pi_by_2_reduce.  This routine uses r49-50. These are used as
+//     scratch registers within the __libm_pi_by_2_reduce routine (for speed).
+//
+//     We know also that __libm_pi_by_2_reduce preserves f10-15, f71-127.  We
+//     use this to eliminate save/restore of key fp registers in this calling
+//     function.
+//
+// *******************************************************************
+// *******************************************************************
+// *******************************************************************
+
+LOCAL_LIBM_ENTRY(__libm_callout)
+SINCOSL_ARG_TOO_LARGE:
+.prologue
+{ .mfi
+        nop.f 0
+.save   ar.pfs,GR_SAVE_PFS
+        mov  GR_SAVE_PFS=ar.pfs                 // Save ar.pfs
+};;
+
+{ .mmi
+        setf.exp FR_Two_to_M3 = GR_exp_2_to_m3  // Form 2^-3
+        mov GR_SAVE_GP=gp                       // Save gp
+.save   b0, GR_SAVE_B0
+        mov GR_SAVE_B0=b0                       // Save b0
+};;
+
+.body
+//
+//     Call argument reduction with x in f8
+//     Returns with N in r8, r in f8, c in f9
+//     Assumes f71-127 are preserved across the call
+//
+{ .mib
+        setf.exp FR_Neg_Two_to_M3 = GR_exp_m2_to_m3 // Form -(2^-3)
+        nop.i 0
+        br.call.sptk b0=__libm_pi_by_2_reduce#
+};;
+
+{ .mfi
+        mov   GR_N_Inc = r8
+        fcmp.lt.unc.s1  p6, p0 = FR_r, FR_Two_to_M3
+        mov   b0 = GR_SAVE_B0                  // Restore return address
+};;
+
+{ .mfi
+        mov   gp = GR_SAVE_GP                  // Restore gp
+(p6)    fcmp.gt.unc.s1  p6, p0 = FR_r, FR_Neg_Two_to_M3
+        mov   ar.pfs = GR_SAVE_PFS             // Restore ar.pfs
+};;
+
+{ .mbb
+  nop.m 0
+(p6)    br.cond.spnt SINCOSL_SMALL_R     // Branch if |r|< 2^-3 for |x| >= 2^63
+        br.cond.sptk SINCOSL_NORMAL_R    // Branch if |r|>=2^-3 for |x| >= 2^63
+};;
+
+LOCAL_LIBM_END(__libm_callout)
+
+.type   __libm_pi_by_2_reduce#,@function
+.global __libm_pi_by_2_reduce#
+
+
+
diff --git a/sysdeps/ia64/fpu/libm_support.h b/sysdeps/ia64/fpu/libm_support.h
index 5d3498dfc9..50dac33133 100644
--- a/sysdeps/ia64/fpu/libm_support.h
+++ b/sysdeps/ia64/fpu/libm_support.h
@@ -1,9 +1,10 @@
-//
-// Copyright (C) 2000, 2001, Intel Corporation
+/* file: libm_support.h */
+
+
+// Copyright (c) 2000 - 2002, Intel Corporation
 // All rights reserved.
 //
-// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story,
-// and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation.
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
 //
 // Redistribution and use in source and binary forms, with or without
 // modification, are permitted provided that the following conditions are
@@ -19,14 +20,14 @@
 // * The name of Intel Corporation may not be used to endorse or promote
 // products derived from this software without specific prior written
 // permission.
-//
+
 // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
-// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS 
 // CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
 // EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
-// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 
 // PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
 // OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
 // NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
@@ -34,45 +35,51 @@
 //
 // Intel Corporation is the author of this code, and requests that all
 // problem reports or change requests be submitted to it directly at
-// http://developer.intel.com/opensource.
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
 //
 
-// History: 02/02/2000 Initial version
+// History: 02/02/2000 Initial version 
 //          2/28/2000 added tags for logb and nextafter
-//          3/22/2000 Changes to support _LIB_VERSION variable
-//                    and filled some enum gaps. Added support for C99.
+//          3/22/2000 Changes to support _LIB_VERSIONIMF variable
+//                    and filled some enum gaps. Added support for C99.  
 //          5/31/2000 added prototypes for __libm_frexp_4l/8l
-//          8/10/2000 Changed declaration of _LIB_VERSION to work for library
+//          8/10/2000 Changed declaration of _LIB_VERSIONIMF to work for library
 //                    builds and other application builds (precompiler directives).
 //          8/11/2000 Added pointers-to-matherr-functions declarations to allow
 //                    for user-defined matherr functions in the dll build.
 //         12/07/2000 Added scalbn error_types values.
+//          5/01/2001 Added error_types values for C99 nearest integer 
+//                    functions.
+//          6/07/2001 Added error_types values for fdim.
+//          6/18/2001 Added include of complex_support.h.
+//          8/03/2001 Added error_types values for nexttoward, scalbln.
+//          8/23/2001 Corrected tag numbers from 186 and higher.
+//          8/27/2001 Added check for long int and long long int definitions.
+//         12/10/2001 Added error_types for erfc.
+//         12/27/2001 Added error_types for degree argument functions.
+//         01/02/2002 Added error_types for tand, cotd.
+//         01/04/2002 Delete include of complex_support.h
+//         01/23/2002 Deleted prototypes for __libm_frexp*.  Added check for
+//                    multiple int, long int, and long long int definitions.
+//         05/20/2002 Added error_types for cot.
+//         06/27/2002 Added error_types for sinhcosh.
+//         12/05/2002 Added error_types for annuity and compound
+//         04/10/2003 Added error_types for tgammal/tgamma/tgammaf
 //
 
-#ifndef __ASSEMBLER__
-#include <math.h>
-
-float __libm_frexp_4f( float x, int*  exp);
-float _GI___libm_frexp_4f( float x, int*  exp);
-float __libm_frexp_8f( float x, int*  exp);
-double __libm_frexp_4( double x, int*  exp);
-double _GI___libm_frexp_4( double x, int*  exp);
-double __libm_frexp_8( double x, int*  exp);
-long double __libm_frexp_4l( long double x, int*  exp);
-long double _GI___libm_frexp_4l( long double x, int*  exp);
-long double __libm_frexp_8l( long double x, int*  exp);
 void __libm_sincos_pi4(double,double*,double*,int);
 void __libm_y0y1(double , double *, double *);
 void __libm_j0j1(double , double *, double *);
-double __libm_lgamma_kernel(double,int*,int,int);
 double __libm_j0(double);
 double __libm_j1(double);
 double __libm_jn(int,double);
 double __libm_y0(double);
 double __libm_y1(double);
 double __libm_yn(int,double);
+double __libm_copysign (double, double);
+float __libm_copysignf (float, float);
+long double __libm_copysignl (long double, long double);
 
-extern double rint(double);
 extern double sqrt(double);
 extern double fabs(double);
 extern double log(double);
@@ -112,24 +119,31 @@ extern long double log1pl(long double);
 extern long double logl(long double);
 extern long double sqrtl(long double);
 extern long double expl(long double);
-
-extern long lround(double);
-extern long lroundf(float);
-extern long lroundl(long double);
+extern long double fabsl(long double);
 
 #if !(defined(SIZE_INT_32) || defined(SIZE_INT_64))
-    #error integer size not established; define SIZE_INT_32 or SIZE_INT_64
+#error integer size not established; define SIZE_INT_32 or SIZE_INT_64
 #endif
 
-struct fp64 { /*/ sign:1 exponent:11 significand:52 (implied leading 1)*/
-  unsigned lo_significand:32;
-  unsigned hi_significand:20;
-  unsigned exponent:11;
-  unsigned sign:1;
-};
+#if (defined(SIZE_INT_32) && defined(SIZE_INT_64))
+#error multiple integer size definitions; define SIZE_INT_32 or SIZE_INT_64
+#endif
 
-#define HI_SIGNIFICAND_LESS(X, HI) ((X)->hi_significand < 0x ## HI)
-#define f64abs(x) ((x) < 0.0 ? -(x) : (x))
+#if !(defined(SIZE_LONG_INT_32) || defined(SIZE_LONG_INT_64))
+#error long int size not established; define SIZE_LONG_INT_32 or SIZE_LONG_INT_64
+#endif
+
+#if (defined(SIZE_LONG_INT_32) && defined(SIZE_LONG_INT_64))
+#error multiple long int size definitions; define SIZE_LONG_INT_32 or SIZE_LONG_INT_64
+#endif
+
+#if !(defined(SIZE_LONG_LONG_INT_32) || defined(SIZE_LONG_LONG_INT_64))
+#error long long int size not established; define SIZE_LONG_LONG_INT_32 or SIZE_LONG_LONG_INT_64
+#endif
+
+#if (defined(SIZE_LONG_LONG_INT_32) && defined(SIZE_LONG_LONG_INT_64))
+#error multiple long long int size definitions; define SIZE_LONG_LONG_INT_32 or SIZE_LONG_LONG_INT_64
+#endif
 
 typedef enum
 {
@@ -148,14 +162,14 @@ typedef enum
   powl_neg_to_non_integer,                       /* 22     */
   powl_nan_to_zero,                              /* 23     */
   pow_overflow,  pow_underflow,                  /* 24, 25 */
-  pow_zero_to_zero,                              /* 26     */
+  pow_zero_to_zero,                              /* 26     */ 
   pow_zero_to_negative,                          /* 27     */
   pow_neg_to_non_integer,                        /* 28     */
   pow_nan_to_zero,                               /* 29     */
   powf_overflow, powf_underflow,                 /* 30, 31 */
   powf_zero_to_zero,                             /* 32     */
-  powf_zero_to_negative,                         /* 33     */
-  powf_neg_to_non_integer,                       /* 34     */
+  powf_zero_to_negative,                         /* 33     */ 
+  powf_neg_to_non_integer,                       /* 34     */ 
   powf_nan_to_zero,                              /* 35     */
   atan2l_zero,                                   /* 36     */
   atan2_zero,                                    /* 37     */
@@ -181,13 +195,13 @@ typedef enum
   y0l_zero, y0l_negative,y0l_gt_loss,            /* 66, 67, 68 */
   y0_zero, y0_negative,y0_gt_loss,               /* 69, 70, 71 */
   y0f_zero, y0f_negative,y0f_gt_loss,            /* 72, 73, 74 */
-  y1l_zero, y1l_negative,y1l_gt_loss,            /* 75, 76, 77 */
-  y1_zero, y1_negative,y1_gt_loss,               /* 78, 79, 80 */
-  y1f_zero, y1f_negative,y1f_gt_loss,            /* 81, 82, 83 */
+  y1l_zero, y1l_negative,y1l_gt_loss,            /* 75, 76, 77 */ 
+  y1_zero, y1_negative,y1_gt_loss,               /* 78, 79, 80 */ 
+  y1f_zero, y1f_negative,y1f_gt_loss,            /* 81, 82, 83 */ 
   ynl_zero, ynl_negative,ynl_gt_loss,            /* 84, 85, 86 */
   yn_zero, yn_negative,yn_gt_loss,               /* 87, 88, 89 */
   ynf_zero, ynf_negative,ynf_gt_loss,            /* 90, 91, 92 */
-  j0l_gt_loss,                                   /* 93 */
+  j0l_gt_loss,                                   /* 93 */ 
   j0_gt_loss,                                    /* 94 */
   j0f_gt_loss,                                   /* 95 */
   j1l_gt_loss,                                   /* 96 */
@@ -201,7 +215,7 @@ typedef enum
   lgammaf_overflow, lgammaf_negative, lgammaf_reserve,/* 108, 109, 110 */
   gammal_overflow,gammal_negative, gammal_reserve,    /* 111, 112, 113 */
   gamma_overflow, gamma_negative, gamma_reserve,      /* 114, 115, 116 */
-  gammaf_overflow,gammaf_negative,gammaf_reserve,     /* 117, 118, 119 */
+  gammaf_overflow,gammaf_negative,gammaf_reserve,     /* 117, 118, 119 */   
   fmodl_by_zero,                                 /* 120 */
   fmod_by_zero,                                  /* 121 */
   fmodf_by_zero,                                 /* 122 */
@@ -222,7 +236,7 @@ typedef enum
   ldexp_overflow,    ldexp_underflow,            /* 146, 147 */
   ldexpf_overflow,   ldexpf_underflow,           /* 148, 149 */
   logbl_zero,   logb_zero, logbf_zero,           /* 150, 151, 152 */
-  nextafterl_overflow,   nextafter_overflow,
+  nextafterl_overflow,   nextafter_overflow,  
   nextafterf_overflow,                           /* 153, 154, 155 */
   ilogbl_zero,  ilogb_zero, ilogbf_zero,         /* 156, 157, 158 */
   exp2l_overflow, exp2l_underflow,               /* 159, 160 */
@@ -235,18 +249,406 @@ typedef enum
   log2f_zero,    log2f_negative,                 /* 172, 173 */
   scalbnl_overflow, scalbnl_underflow,           /* 174, 175 */
   scalbn_overflow,  scalbn_underflow,            /* 176, 177 */
-  scalbnf_overflow, scalbnf_underflow            /* 178, 179 */
+  scalbnf_overflow, scalbnf_underflow,           /* 178, 179 */
+  remquol_by_zero,                               /* 180 */
+  remquo_by_zero,                                /* 181 */
+  remquof_by_zero,                               /* 182 */
+  lrintl_large, lrint_large, lrintf_large,       /* 183, 184, 185 */
+  llrintl_large, llrint_large, llrintf_large,    /* 186, 187, 188 */
+  lroundl_large, lround_large, lroundf_large,    /* 189, 190, 191 */
+  llroundl_large, llround_large, llroundf_large, /* 192, 193, 194 */
+  fdiml_overflow, fdim_overflow, fdimf_overflow, /* 195, 196, 197 */
+  nexttowardl_overflow,   nexttoward_overflow,   
+  nexttowardf_overflow,                          /* 198, 199, 200 */
+  scalblnl_overflow, scalblnl_underflow,         /* 201, 202 */
+  scalbln_overflow,  scalbln_underflow,          /* 203, 204 */
+  scalblnf_overflow, scalblnf_underflow,         /* 205, 206 */
+  erfcl_underflow, erfc_underflow, erfcf_underflow, /* 207, 208, 209 */
+  acosdl_gt_one, acosd_gt_one, acosdf_gt_one,    /* 210, 211, 212 */
+  asindl_gt_one, asind_gt_one, asindf_gt_one,    /* 213, 214, 215 */
+  atan2dl_zero, atan2d_zero, atan2df_zero,       /* 216, 217, 218 */
+  tandl_overflow, tand_overflow, tandf_overflow, /* 219, 220, 221 */
+  cotdl_overflow, cotd_overflow, cotdf_overflow, /* 222, 223, 224 */
+  cotl_overflow, cot_overflow, cotf_overflow,    /* 225, 226, 227 */
+  sinhcoshl_overflow, sinhcosh_overflow, sinhcoshf_overflow, /* 228, 229, 230 */
+  annuityl_by_zero, annuity_by_zero, annuityf_by_zero, /* 231, 232, 233 */
+  annuityl_less_m1, annuity_less_m1, annuityf_less_m1, /* 234, 235, 236 */
+  annuityl_overflow, annuity_overflow, annuityf_overflow, /* 237, 238, 239 */
+  annuityl_underflow, annuity_underflow, annuityf_underflow, /* 240, 241, 242 */
+  compoundl_by_zero, compound_by_zero, compoundf_by_zero, /* 243, 244, 245 */
+  compoundl_less_m1, compound_less_m1, compoundf_less_m1, /* 246, 247, 248 */
+  compoundl_overflow, compound_overflow, compoundf_overflow, /* 249, 250, 251 */
+  compoundl_underflow, compound_underflow, compoundf_underflow, /* 252, 253, 254 */
+  tgammal_overflow, tgammal_negative, tgammal_reserve, /* 255, 256, 257 */
+  tgamma_overflow, tgamma_negative, tgamma_reserve, /* 258, 259, 260 */
+  tgammaf_overflow, tgammaf_negative, tgammaf_reserve, /* 261, 262, 263 */
 } error_types;
 
 void __libm_error_support(void*,void*,void*,error_types);
+#ifdef _LIBC
 libc_hidden_proto(__libm_error_support)
+#endif
+
+#define HI_SIGNIFICAND_LESS(X, HI) ((X)->hi_significand < 0x ## HI)
+#define f64abs(x) ((x) < 0.0 ? -(x) : (x))
+
+#if !defined(__USE_EXTERNAL_FPMEMTYP_H__)
+
+#define BIAS_32  0x007F
+#define BIAS_64  0x03FF
+#define BIAS_80  0x3FFF
+
+#define MAXEXP_32  0x00FE
+#define MAXEXP_64  0x07FE
+#define MAXEXP_80  0x7FFE
+
+#define EXPINF_32  0x00FF
+#define EXPINF_64  0x07FF
+#define EXPINF_80  0x7FFF
+
+struct fp32 { /*// sign:1 exponent:8 significand:23 (implied leading 1)*/
+#if defined(SIZE_INT_32)
+    unsigned significand:23;
+    unsigned exponent:8;
+    unsigned sign:1;
+#elif defined(SIZE_INT_64)
+    unsigned significand:23;
+    unsigned exponent:8;
+    unsigned sign:1;
+#endif
+};
+
+struct fp64 { /*/ sign:1 exponent:11 significand:52 (implied leading 1)*/
+#if defined(SIZE_INT_32)
+    unsigned lo_significand:32;
+    unsigned hi_significand:20;
+    unsigned exponent:11;
+    unsigned sign:1;
+#elif defined(SIZE_INT_64)
+    unsigned significand:52;
+    unsigned exponent:11;
+    unsigned sign:1;
+#endif
+};
+
+struct fp80 { /*/ sign:1 exponent:15 significand:64 (NO implied bits) */
+#if defined(SIZE_INT_32)
+    unsigned         lo_significand;
+    unsigned         hi_significand;
+    unsigned         exponent:15;
+    unsigned         sign:1;
+#elif defined(SIZE_INT_64)
+    unsigned         significand;
+    unsigned         exponent:15;
+    unsigned         sign:1;
+#endif
+};
+
+#endif /*__USE_EXTERNAL_FPMEMTYP_H__*/
+
+/* macros to form a double value in hex representation (unsigned int type) */
+
+#define DOUBLE_HEX(hi,lo) 0x##lo,0x##hi /*LITTLE_ENDIAN*/
+
+/* macros to form a long double value in hex representation (unsigned short type) */
+
+#if defined(_WIN32) || defined(_WIN64)
+#define LDOUBLE_ALIGN 16
+#else
+#define LDOUBLE_ALIGN 12
+#endif
+
+#if (LDOUBLE_ALIGN == 16)
+#define _XPD_ ,0x0000,0x0000,0x0000
+#else /*12*/
+#define _XPD_ ,0x0000
+#endif
+
+#define LDOUBLE_HEX(w4,w3,w2,w1,w0) 0x##w0,0x##w1,0x##w2,0x##w3,0x##w4 _XPD_ /*LITTLE_ENDIAN*/
+
+/* macros to sign-expand low 'num' bits of 'val' to native integer */
 
-#define BIAS_64  1023
-#define EXPINF_64  2047
+#if defined(SIZE_INT_32)
+# define SIGN_EXPAND(val,num)  ((int)(val) << (32-(num))) >> (32-(num)) /* sign expand of 'num' LSBs */
+#elif defined(SIZE_INT_64)
+# define SIGN_EXPAND(val,num)  ((int)(val) << (64-(num))) >> (64-(num)) /* sign expand of 'num' LSBs */
+#endif
+
+/* macros to form pointers to FP number on-the-fly */
+
+#define FP32(f)  ((struct fp32 *)&f)
+#define FP64(d)  ((struct fp64 *)&d)
+#define FP80(ld) ((struct fp80 *)&ld)
+
+/* macros to extract signed low and high doubleword of long double */
+
+#if defined(SIZE_INT_32)
+# define HI_DWORD_80(ld) ((((FP80(ld)->sign << 15) | FP80(ld)->exponent) << 16) | \
+                          ((FP80(ld)->hi_significand >> 16) & 0xFFFF))
+# define LO_DWORD_80(ld) SIGN_EXPAND(FP80(ld)->lo_significand, 32)
+#elif defined(SIZE_INT_64)
+# define HI_DWORD_80(ld) ((((FP80(ld)->sign << 15) | FP80(ld)->exponent) << 16) | \
+                          ((FP80(ld)->significand >> 48) & 0xFFFF))
+# define LO_DWORD_80(ld) SIGN_EXPAND(FP80(ld)->significand, 32)
+#endif
+
+/* macros to extract hi bits of significand.
+ * note that explicit high bit do not count (returns as is)
+ */
+
+#if defined(SIZE_INT_32)
+# define HI_SIGNIFICAND_80(X,NBITS) ((X)->hi_significand >> (31 - (NBITS)))
+#elif defined(SIZE_INT_64)
+# define HI_SIGNIFICAND_80(X,NBITS) ((X)->significand >> (63 - (NBITS)))
+#endif
+
+/* macros to check, whether a significand bits are all zero, or some of them are non-zero.
+ * note that SIGNIFICAND_ZERO_80 tests high bit also, but SIGNIFICAND_NONZERO_80 does not
+ */
+
+#define SIGNIFICAND_ZERO_32(X)     ((X)->significand == 0)
+#define SIGNIFICAND_NONZERO_32(X)  ((X)->significand != 0)
 
-#define DOUBLE_HEX(HI, LO) 0x ## LO, 0x ## HI
+#if defined(SIZE_INT_32)
+# define SIGNIFICAND_ZERO_64(X)    (((X)->hi_significand == 0) && ((X)->lo_significand == 0))
+# define SIGNIFICAND_NONZERO_64(X) (((X)->hi_significand != 0) || ((X)->lo_significand != 0))
+#elif defined(SIZE_INT_64)
+# define SIGNIFICAND_ZERO_64(X)    ((X)->significand == 0)
+# define SIGNIFICAND_NONZERO_64(X) ((X)->significand != 0)
+#endif
+
+#if defined(SIZE_INT_32)
+# define SIGNIFICAND_ZERO_80(X)    (((X)->hi_significand == 0x00000000) && ((X)->lo_significand == 0))
+# define SIGNIFICAND_NONZERO_80(X) (((X)->hi_significand != 0x80000000) || ((X)->lo_significand != 0))
+#elif defined(SIZE_INT_64)
+# define SIGNIFICAND_ZERO_80(X)    ((X)->significand == 0x0000000000000000)
+# define SIGNIFICAND_NONZERO_80(X) ((X)->significand != 0x8000000000000000)
+#endif
+
+/* macros to compare long double with constant value, represented as hex */
+
+#define SIGNIFICAND_EQ_HEX_32(X,BITS) ((X)->significand == 0x ## BITS)
+#define SIGNIFICAND_GT_HEX_32(X,BITS) ((X)->significand >  0x ## BITS)
+#define SIGNIFICAND_GE_HEX_32(X,BITS) ((X)->significand >= 0x ## BITS)
+#define SIGNIFICAND_LT_HEX_32(X,BITS) ((X)->significand <  0x ## BITS)
+#define SIGNIFICAND_LE_HEX_32(X,BITS) ((X)->significand <= 0x ## BITS)
+
+#if defined(SIZE_INT_32)
+# define SIGNIFICAND_EQ_HEX_64(X,HI,LO) \
+    (((X)->hi_significand == 0x ## HI) && ((X)->lo_significand == 0x ## LO))
+# define SIGNIFICAND_GT_HEX_64(X,HI,LO) (((X)->hi_significand > 0x ## HI) || \
+    (((X)->hi_significand == 0x ## HI) && ((X)->lo_significand >  0x ## LO)))
+# define SIGNIFICAND_GE_HEX_64(X,HI,LO) (((X)->hi_significand > 0x ## HI) || \
+    (((X)->hi_significand == 0x ## HI) && ((X)->lo_significand >= 0x ## LO)))
+# define SIGNIFICAND_LT_HEX_64(X,HI,LO) (((X)->hi_significand < 0x ## HI) || \
+    (((X)->hi_significand == 0x ## HI) && ((X)->lo_significand <  0x ## LO)))
+# define SIGNIFICAND_LE_HEX_64(X,HI,LO) (((X)->hi_significand < 0x ## HI) || \
+    (((X)->hi_significand == 0x ## HI) && ((X)->lo_significand <= 0x ## LO)))
+#elif defined(SIZE_INT_64)
+# define SIGNIFICAND_EQ_HEX_64(X,HI,LO) ((X)->significand == 0x ## HI ## LO)
+# define SIGNIFICAND_GT_HEX_64(X,HI,LO) ((X)->significand >  0x ## HI ## LO)
+# define SIGNIFICAND_GE_HEX_64(X,HI,LO) ((X)->significand >= 0x ## HI ## LO)
+# define SIGNIFICAND_LT_HEX_64(X,HI,LO) ((X)->significand <  0x ## HI ## LO)
+# define SIGNIFICAND_LE_HEX_64(X,HI,LO) ((X)->significand <= 0x ## HI ## LO)
+#endif
+	
+#if defined(SIZE_INT_32)
+# define SIGNIFICAND_EQ_HEX_80(X,HI,LO) \
+    (((X)->hi_significand == 0x ## HI) && ((X)->lo_significand == 0x ## LO))
+# define SIGNIFICAND_GT_HEX_80(X,HI,LO) (((X)->hi_significand > 0x ## HI) || \
+    (((X)->hi_significand == 0x ## HI) && ((X)->lo_significand >  0x ## LO)))
+# define SIGNIFICAND_GE_HEX_80(X,HI,LO) (((X)->hi_significand > 0x ## HI) || \
+    (((X)->hi_significand == 0x ## HI) && ((X)->lo_significand >= 0x ## LO)))
+# define SIGNIFICAND_LT_HEX_80(X,HI,LO) (((X)->hi_significand < 0x ## HI) || \
+    (((X)->hi_significand == 0x ## HI) && ((X)->lo_significand <  0x ## LO)))
+# define SIGNIFICAND_LE_HEX_80(X,HI,LO) (((X)->hi_significand < 0x ## HI) || \
+    (((X)->hi_significand == 0x ## HI) && ((X)->lo_significand <= 0x ## LO)))
+#elif defined(SIZE_INT_64)
+# define SIGNIFICAND_EQ_HEX_80(X,HI,LO) ((X)->significand == 0x ## HI ## LO)
+# define SIGNIFICAND_GT_HEX_80(X,HI,LO) ((X)->significand >  0x ## HI ## LO)
+# define SIGNIFICAND_GE_HEX_80(X,HI,LO) ((X)->significand >= 0x ## HI ## LO)
+# define SIGNIFICAND_LT_HEX_80(X,HI,LO) ((X)->significand <  0x ## HI ## LO)
+# define SIGNIFICAND_LE_HEX_80(X,HI,LO) ((X)->significand <= 0x ## HI ## LO)
+#endif
+
+#define VALUE_EQ_HEX_32(X,EXP,BITS) \
+   (((X)->exponent == (EXP)) && (SIGNIFICAND_EQ_HEX_32(X, BITS)))
+#define VALUE_GT_HEX_32(X,EXP,BITS) (((X)->exponent > (EXP)) || \
+   (((X)->exponent == (EXP)) && (SIGNIFICAND_GT_HEX_32(X, BITS))))
+#define VALUE_GE_HEX_32(X,EXP,BITS) (((X)->exponent > (EXP)) || \
+   (((X)->exponent == (EXP)) && (SIGNIFICAND_GE_HEX_32(X, BITS))))
+#define VALUE_LT_HEX_32(X,EXP,BITS) (((X)->exponent < (EXP)) || \
+   (((X)->exponent == (EXP)) && (SIGNIFICAND_LT_HEX_32(X, BITS))))
+#define VALUE_LE_HEX_32(X,EXP,BITS) (((X)->exponent < (EXP)) || \
+   (((X)->exponent == (EXP)) && (SIGNIFICAND_LE_HEX_32(X, BITS))))
+
+#define VALUE_EQ_HEX_64(X,EXP,HI,LO) \
+   (((X)->exponent == (EXP)) && (SIGNIFICAND_EQ_HEX_64(X, HI, LO)))
+#define VALUE_GT_HEX_64(X,EXP,HI,LO) (((X)->exponent > (EXP)) || \
+   (((X)->exponent == (EXP)) && (SIGNIFICAND_GT_HEX_64(X, HI, LO))))
+#define VALUE_GE_HEX_64(X,EXP,HI,LO) (((X)->exponent > (EXP)) || \
+   (((X)->exponent == (EXP)) && (SIGNIFICAND_GE_HEX_64(X, HI, LO))))
+#define VALUE_LT_HEX_64(X,EXP,HI,LO) (((X)->exponent < (EXP)) || \
+   (((X)->exponent == (EXP)) && (SIGNIFICAND_LT_HEX_64(X, HI, LO))))
+#define VALUE_LE_HEX_64(X,EXP,HI,LO) (((X)->exponent < (EXP)) || \
+   (((X)->exponent == (EXP)) && (SIGNIFICAND_LE_HEX_64(X, HI, LO))))
+
+#define VALUE_EQ_HEX_80(X,EXP,HI,LO) \
+   (((X)->exponent == (EXP)) && (SIGNIFICAND_EQ_HEX_80(X, HI, LO)))
+#define VALUE_GT_HEX_80(X,EXP,HI,LO) (((X)->exponent > (EXP)) || \
+   (((X)->exponent == (EXP)) && (SIGNIFICAND_GT_HEX_80(X, HI, LO))))
+#define VALUE_GE_HEX_80(X,EXP,HI,LO) (((X)->exponent > (EXP)) || \
+   (((X)->exponent == (EXP)) && (SIGNIFICAND_GE_HEX_80(X, HI, LO))))
+#define VALUE_LT_HEX_80(X,EXP,HI,LO) (((X)->exponent < (EXP)) || \
+   (((X)->exponent == (EXP)) && (SIGNIFICAND_LT_HEX_80(X, HI, LO))))
+#define VALUE_LE_HEX_80(X,EXP,HI,LO) (((X)->exponent < (EXP)) || \
+   (((X)->exponent == (EXP)) && (SIGNIFICAND_LE_HEX_80(X, HI, LO))))
+
+/* macros to compare two long doubles */
+
+#define SIGNIFICAND_EQ_32(X,Y) ((X)->significand == (Y)->significand)
+#define SIGNIFICAND_GT_32(X,Y) ((X)->significand > (Y)->significand)
+#define SIGNIFICAND_GE_32(X,Y) ((X)->significand >= (Y)->significand)
+#define SIGNIFICAND_LT_32(X,Y) ((X)->significand < (Y)->significand)
+#define SIGNIFICAND_LE_32(X,Y) ((X)->significand <= (Y)->significand)
+
+#if defined(SIZE_INT_32)
+# define SIGNIFICAND_EQ_64(X,Y) \
+	(((X)->hi_significand == (Y)->hi_significand) && ((X)->lo_significand == (Y)->lo_significand))
+# define SIGNIFICAND_GT_64(X,Y) (((X)->hi_significand > (Y)->hi_significand) || \
+	(((X)->hi_significand == (Y)->hi_significand) && ((X)->lo_significand >  (Y)->lo_significand)))
+# define SIGNIFICAND_GE_64(X,Y) (((X)->hi_significand > (Y)->hi_significand) || \
+	(((X)->hi_significand == (Y)->hi_significand) && ((X)->lo_significand >= (Y)->lo_significand)))
+# define SIGNIFICAND_LT_64(X,Y) (((X)->hi_significand < (Y)->hi_significand) || \
+    (((X)->hi_significand == (Y)->hi_significand) && ((X)->lo_significand <  (Y)->lo_significand)))
+# define SIGNIFICAND_LE_64(X,Y) (((X)->hi_significand < (Y)->hi_significand) || \
+    (((X)->hi_significand == (Y)->hi_significand) && ((X)->lo_significand <= (Y)->lo_significand)))
+#elif defined(SIZE_INT_64)
+# define SIGNIFICAND_EQ_64(X,Y) ((X)->significand == (Y)->significand)
+# define SIGNIFICAND_GT_64(X,Y) ((X)->significand >  (Y)->significand)
+# define SIGNIFICAND_GE_64(X,Y) ((X)->significand >= (Y)->significand)
+# define SIGNIFICAND_LT_64(X,Y) ((X)->significand <  (Y)->significand)
+# define SIGNIFICAND_LE_64(X,Y) ((X)->significand <= (Y)->significand)
+#endif
+
+#if defined(SIZE_INT_32)
+# define SIGNIFICAND_EQ_80(X,Y) \
+    (((X)->hi_significand == (Y)->hi_significand) && ((X)->lo_significand == (Y)->lo_significand))
+# define SIGNIFICAND_GT_80(X,Y) (((X)->hi_significand > (Y)->hi_significand) || \
+    (((X)->hi_significand == (Y)->hi_significand) && ((X)->lo_significand >  (Y)->lo_significand)))
+# define SIGNIFICAND_GE_80(X,Y) (((X)->hi_significand > (Y)->hi_significand) || \
+    (((X)->hi_significand == (Y)->hi_significand) && ((X)->lo_significand >= (Y)->lo_significand)))
+# define SIGNIFICAND_LT_80(X,Y) (((X)->hi_significand < (Y)->hi_significand) || \
+    (((X)->hi_significand == (Y)->hi_significand) && ((X)->lo_significand <  (Y)->lo_significand)))
+# define SIGNIFICAND_LE_80(X,Y) (((X)->hi_significand < (Y)->hi_significand) || \
+    (((X)->hi_significand == (Y)->hi_significand) && ((X)->lo_significand <= (Y)->lo_significand)))
+#elif defined(SIZE_INT_64)
+# define SIGNIFICAND_EQ_80(X,Y) ((X)->significand == (Y)->significand)
+# define SIGNIFICAND_GT_80(X,Y) ((X)->significand >  (Y)->significand)
+# define SIGNIFICAND_GE_80(X,Y) ((X)->significand >= (Y)->significand)
+# define SIGNIFICAND_LT_80(X,Y) ((X)->significand <  (Y)->significand)
+# define SIGNIFICAND_LE_80(X,Y) ((X)->significand <= (Y)->significand)
+#endif
+
+#define VALUE_EQ_32(X,Y) \
+   (((X)->exponent == (Y)->exponent) && (SIGNIFICAND_EQ_32(X, Y)))
+#define VALUE_GT_32(X,Y) (((X)->exponent > (Y)->exponent) || \
+   (((X)->exponent == (Y)->exponent) && (SIGNIFICAND_GT_32(X, Y))))
+#define VALUE_GE_32(X,Y) (((X)->exponent > (Y)->exponent) || \
+   (((X)->exponent == (Y)->exponent) && (SIGNIFICAND_GE_32(X, Y))))
+#define VALUE_LT_32(X,Y) (((X)->exponent < (Y)->exponent) || \
+   (((X)->exponent == (Y)->exponent) && (SIGNIFICAND_LT_32(X, Y))))
+#define VALUE_LE_32(X,Y) (((X)->exponent < (Y)->exponent) || \
+   (((X)->exponent == (Y)->exponent) && (SIGNIFICAND_LE_32(X, Y))))
+   
+#define VALUE_EQ_64(X,Y) \
+   (((X)->exponent == (Y)->exponent) && (SIGNIFICAND_EQ_64(X, Y)))
+#define VALUE_GT_64(X,Y) (((X)->exponent > (Y)->exponent) || \
+   (((X)->exponent == (Y)->exponent) && (SIGNIFICAND_GT_64(X, Y))))
+#define VALUE_GE_64(X,Y) (((X)->exponent > (Y)->exponent) || \
+   (((X)->exponent == (Y)->exponent) && (SIGNIFICAND_GE_64(X, Y))))
+#define VALUE_LT_64(X,Y) (((X)->exponent < (Y)->exponent) || \
+   (((X)->exponent == (Y)->exponent) && (SIGNIFICAND_LT_64(X, Y))))
+#define VALUE_LE_64(X,Y) (((X)->exponent < (Y)->exponent) || \
+   (((X)->exponent == (Y)->exponent) && (SIGNIFICAND_LE_64(X, Y))))
+   
+#define VALUE_EQ_80(X,Y) \
+   (((X)->exponent == (Y)->exponent) && (SIGNIFICAND_EQ_80(X, Y)))
+#define VALUE_GT_80(X,Y) (((X)->exponent > (Y)->exponent) || \
+   (((X)->exponent == (Y)->exponent) && (SIGNIFICAND_GT_80(X, Y))))
+#define VALUE_GE_80(X,Y) (((X)->exponent > (Y)->exponent) || \
+   (((X)->exponent == (Y)->exponent) && (SIGNIFICAND_GE_80(X, Y))))
+#define VALUE_LT_80(X,Y) (((X)->exponent < (Y)->exponent) || \
+   (((X)->exponent == (Y)->exponent) && (SIGNIFICAND_LT_80(X, Y))))
+#define VALUE_LE_80(X,Y) (((X)->exponent < (Y)->exponent) || \
+   (((X)->exponent == (Y)->exponent) && (SIGNIFICAND_LE_80(X, Y))))
+
+/* add/subtract 1 ulp macros */
+
+#if defined(SIZE_INT_32)
+# define ADD_ULP_80(X) \
+    if ((++(X)->lo_significand == 0) && \
+        (++(X)->hi_significand == (((X)->exponent == 0) ? 0x80000000 : 0))) \
+    { \
+        (X)->hi_significand |= 0x80000000; \
+        ++(X)->exponent; \
+    }
+# define SUB_ULP_80(X) \
+    if (--(X)->lo_significand == 0xFFFFFFFF) { \
+        --(X)->hi_significand; \
+        if (((X)->exponent != 0) && \
+            ((X)->hi_significand == 0x7FFFFFFF) && \
+            (--(X)->exponent != 0)) \
+        { \
+            (X)->hi_significand |= 0x80000000; \
+        } \
+    }
+#elif defined(SIZE_INT_64)
+# define ADD_ULP_80(X) \
+    if (++(X)->significand == (((X)->exponent == 0) ? 0x8000000000000000 : 0))) { \
+        (X)->significand |= 0x8000000000000000; \
+        ++(X)->exponent; \
+    }
+# define SUB_ULP_80(X) \
+    { \
+        --(X)->significand; \
+        if (((X)->exponent != 0) && \
+            ((X)->significand == 0x7FFFFFFFFFFFFFFF) && \
+            (--(X)->exponent != 0)) \
+        { \
+            (X)->significand |= 0x8000000000000000; \
+        } \
+    }
+#endif
+
+
+
+#if (defined(_WIN32) && !defined(_WIN64))
+
+#define FP80_DECLARE()
+#define _FPC_64    0x0300
+static unsigned short __wControlWord, __wNewControlWord;
+#define FP80_SET() { \
+        __asm { fnstcw   word ptr [__wControlWord] }   \
+        __wNewControlWord = __wControlWord | _FPC_64;  \
+        __asm { fldcw   word ptr [__wNewControlWord] } \
+    }
+#define FP80_RESET() { \
+        __asm { fldcw   word ptr [__wControlWord] } \
+    }
+#else /* defined(_WIN32) && !defined(_WIN64) */
+
+#define FP80_DECLARE()
+#define FP80_SET()
+#define FP80_RESET()
+
+#endif  /* defined(_WIN32) && !defined(_WIN64) */
+
+
+#ifdef _LIBC
+# include <math.h>
+#else
 
-#if 0
 static const unsigned INF[] = {
     DOUBLE_HEX(7ff00000, 00000000),
     DOUBLE_HEX(fff00000, 00000000)
@@ -255,12 +657,12 @@ static const unsigned INF[] = {
 static const double _zeroo = 0.0;
 static const double _bigg = 1.0e300;
 static const double _ponee = 1.0;
-static const double _nonee = -1.0;
+static const double _nonee = -1.0; 
 
 #define INVALID    (_zeroo * *((double*)&INF[0]))
-#define PINF       *((double*)&INF[0])
-#define NINF       -PINF
-#define PINF_DZ    (_ponee/_zeroo)
+#define PINF       *((double*)&INF[0]) 
+#define NINF       -PINF 
+#define PINF_DZ    (_ponee/_zeroo) 
 #define X_TLOSS    1.41484755040568800000e+16
 #endif
 
@@ -278,7 +680,7 @@ struct __exception
   char *name;
   double arg1, arg2, retval;
 };
-# else
+# else 
 
 #  ifndef _LIBC
 struct exception
@@ -300,18 +702,18 @@ struct exceptionl
 };
 
 #ifdef _MS_
-#define        MATHERR_F       _matherrf
-#define        MATHERR_D       _matherr
+#define	MATHERR_F	_matherrf
+#define	MATHERR_D	_matherr
 #else
-#define        MATHERR_F       matherrf
-#define        MATHERR_D       matherr
+#define	MATHERR_F	matherrf
+#define	MATHERR_D	matherr
 #endif
 
 # ifdef __cplusplus
-#define        EXC_DECL_D      __exception
+#define	EXC_DECL_D	__exception
 #else
 // exception is a reserved name in C++
-#define        EXC_DECL_D      exception
+#define	EXC_DECL_D	exception
 #endif
 
 extern int MATHERR_F(struct exceptionf*);
@@ -324,7 +726,7 @@ extern int matherrl(struct exceptionl*);
 #define ERRNO_DOMAIN errno = EDOM
 
 
-// Add code to support _LIB_VERSION
+// Add code to support _LIB_VERSIONIMF
 #ifndef _LIBC
 typedef enum
 {
@@ -335,29 +737,19 @@ typedef enum
     _ISOC_       // ISO C9X
 } _LIB_VERSION_TYPE;
 
-extern _LIB_VERSION_TYPE _LIB_VERSION;
-#endif
 
-// This is a run-time variable and may effect
-// floating point behavior of the libm functions
-
-#elif defined _LIBC
-
-# if !defined NOT_IN_libc && defined SHARED && defined DO_VERSIONING \
-     && !defined HAVE_BROKEN_ALIAS_ATTRIBUTE && !defined NO_HIDDEN
-#  define __libm_error_support  __GI___libm_error_support
-# endif
-
-#endif	/* __ASSEMBLER__ */
-
-/* Support for compatible assembler handling.  */
-#if !defined L && defined _LIBC
-#define L(name) .L##name
-#endif
-#ifdef __ELF__
-#define ASM_SIZE_DIRECTIVE(name) .size name,.-name
-#define ASM_TYPE_DIRECTIVE(name,T) .type name,T
+#if !defined( LIBM_BUILD )
+#if defined( _DLL )
+extern _LIB_VERSION_TYPE __declspec(dllimport) _LIB_VERSIONIMF;
+#else
+extern _LIB_VERSION_TYPE _LIB_VERSIONIMF;
+#endif	/* _DLL */
 #else
-#define ASM_SIZE_DIRECTIVE(name)
-#define ASM_TYPE_DIRECTIVE(name,T)
+extern int (*pmatherrf)(struct exceptionf*);
+extern int (*pmatherr)(struct EXC_DECL_D*);
+extern int (*pmatherrl)(struct exceptionl*);
+#endif	/* LIBM_BUILD */
+
+// This is a run-time variable and may affect
+// floating point behavior of the libm functions
 #endif
diff --git a/sysdeps/ia64/fpu/s_asinh.S b/sysdeps/ia64/fpu/s_asinh.S
new file mode 100644
index 0000000000..a9ef4e1143
--- /dev/null
+++ b/sysdeps/ia64/fpu/s_asinh.S
@@ -0,0 +1,1136 @@
+.file "asinh.s"
+
+
+// Copyright (c) 2000 - 2003, Intel Corporation
+// All rights reserved.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
+//
+// Redistribution and use in source and binary forms, with or without
+// modification, are permitted provided that the following conditions are
+// met:
+//
+// * Redistributions of source code must retain the above copyright
+// notice, this list of conditions and the following disclaimer.
+//
+// * Redistributions in binary form must reproduce the above copyright
+// notice, this list of conditions and the following disclaimer in the
+// documentation and/or other materials provided with the distribution.
+//
+// * The name of Intel Corporation may not be used to endorse or promote
+// products derived from this software without specific prior written
+// permission.
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
+// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
+// OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+//
+// Intel Corporation is the author of this code, and requests that all
+// problem reports or change requests be submitted to it directly at
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
+//
+// ==============================================================
+// History
+// ==============================================================
+// 04/02/01 Initial version
+// 04/19/01 Improved speed of the paths #1,2,3,4,5
+// 10/18/01 Improved accuracy
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 02/06/03 Reordered header: .section, .global, .proc, .align
+// 05/21/03 Improved performance, fixed to handle unorms
+//
+// API
+// ==============================================================
+// double asinh(double)
+//
+// Overview of operation
+// ==============================================================
+//
+// There are 7 paths:
+// 1. x = 0.0
+//    Return asinh(x) = 0.0
+//
+// 2. 0.0 <|x| < 2^(-3)
+//    Return asinh(x) = POL13(x),
+//         where POL13(x) = (x^2*C13 + ...)*x^2 + C5)*x^2 + C3)*x^3 + x
+//
+// 3. 2^(-3) <= |x| < 2^63
+//    Return asinh(x) = sign(x)*(log(|x| + sqrt(x^2 + 1.0)))
+//    To compute x + sqrt(x^2 + 1.0) modified Newton Raphson method is used
+//      (3 iterations)
+//    Algorithm description for log function see below.
+//
+// 4. 2^63 <= |x| < +INF
+//    Return asinh(x) = sign(x)*log(2*|x|)
+//    Algorithm description for log function see below.
+//
+// 5. x = INF
+//    Return asinh(x) = INF
+//
+// 6. x = [S,Q]NaN
+//    Return asinh(x) = QNaN
+//
+// 7. x = denormal
+//    Return asinh(x) = x correctly rounded
+//
+//==============================================================
+// Algorithm Description for log(x) function
+// Below we are using the fact that inequality x - 1.0 > 2^(-6) is always
+//   true for this asinh implementation
+//
+// Consider  x = 2^N 1.f1 f2 f3 f4...f63
+// Log(x) = log(frcpa(x) x/frcpa(x))
+//        = log(1/frcpa(x)) + log(frcpa(x) x)
+//        = -log(frcpa(x)) + log(frcpa(x) x)
+//
+// frcpa(x)       = 2^-N frcpa((1.f1 f2 ... f63)
+//
+// -log(frcpa(x)) = -log(C)
+//                = -log(2^-N) - log(frcpa(1.f1 f2 ... f63))
+//
+// -log(frcpa(x)) = -log(C)
+//                = +Nlog2 - log(frcpa(1.f1 f2 ... f63))
+//
+// -log(frcpa(x)) = -log(C)
+//                = +Nlog2 + log(frcpa(1.f1 f2 ... f63))
+//
+// Log(x) = log(1/frcpa(x)) + log(frcpa(x) x)
+//
+// Log(x) =  +Nlog2 + log(1./frcpa(1.f1 f2 ... f63)) + log(frcpa(x) x)
+// Log(x) =  +Nlog2 - log(/frcpa(1.f1 f2 ... f63))   + log(frcpa(x) x)
+// Log(x) =  +Nlog2 + T                              + log(frcpa(x) x)
+//
+// Log(x) =  +Nlog2 + T                     + log(C x)
+//
+// Cx = 1 + r
+//
+// Log(x) =  +Nlog2 + T  + log(1+r)
+// Log(x) =  +Nlog2 + T  + Series( r - r^2/2 + r^3/3 - r^4/4 ....)
+//
+// 1.f1 f2 ... f8 has 256 entries.
+// They are 1 + k/2^8, k = 0 ... 255
+// These 256 values are the table entries.
+//
+// Implementation
+//==============================================================
+// C = frcpa(x)
+// r = C * x - 1
+//
+// Form rseries = r + P1*r^2 + P2*r^3 + P3*r^4 + P4*r^5 + P5*r^6
+//
+// x = f * 2*n where f is 1.f_1f_2f_3....f_63
+// Nfloat = float(n)  where n is the true unbiased exponent
+// pre-index = f_1f_2....f_8
+// index = pre_index * 16
+// get the dxt table entry at index + offset = T
+//
+// result = (T + Nfloat * log(2)) + rseries
+//
+// The T table is calculated as follows
+// Form x_k = 1 + k/2^8 where k goes from 0... 255
+//      y_k = frcpa(x_k)
+//      log(1/y_k)  in quad and round to double-extended
+//
+//
+// Registers used
+//==============================================================
+// Floating Point registers used:
+// f8, input
+// f9 -> f15,  f32 -> f68
+
+// General registers used:
+// r14 -> r27
+
+// Predicate registers used:
+// p6 -> p14
+
+// p6 to filter out case when x = [Q,S]NaN or INF or zero
+// p7 to filter out case when x < 0.0
+// p8 to select path #2
+// p9 used in the frcpa from path #3
+// p11 to filter out case when x >= 0
+// p12 to filter out case when x = unorm
+// p13 to select path #4
+// Assembly macros
+//==============================================================
+log_GR_exp_17_ones    = r14
+log_GR_signexp_f8     = r15
+log_table_address2    = r16
+log_GR_exp_16_ones    = r17
+log_GR_exp_f8         = r18
+log_GR_true_exp_f8    = r19
+log_GR_significand_f8 = r20
+log_GR_index          = r21
+log_GR_comp2          = r22
+asinh_GR_f8           = r23
+asinh_GR_comp         = r24
+asinh_GR_f8           = r25
+log_table_address3    = r26
+NR_table_address      = r27
+
+//==============================================================
+log_y            = f9
+NR1              = f10
+NR2              = f11
+log_y_rs         = f12
+log_y_rs_iter    = f13
+log_y_rs_iter1   = f14
+fNormX           = f15
+asinh_w_sq       = f32
+log_C13          = f33
+log_C11          = f34
+log_P3           = f35
+log_P2           = f36
+log_P1           = f37
+log_P5           = f38
+log_P4           = f39
+log_C3           = f40
+log_C5           = f41
+log_C7           = f42
+log2             = f43
+asinh_f8         = f44
+log_C            = f45
+log_arg          = f46
+log_C9           = f47
+asinh_w_four     = f48
+log_int_Nfloat   = f49
+log_r            = f50
+log_rsq          = f51
+log_rp_p4        = f52
+log_rp_p32       = f53
+log_rcube        = f54
+log_rp_p10       = f55
+log_rp_p2        = f56
+log_Nfloat       = f57
+log_T            = f58
+log_r2P_r        = f59
+log_T_plus_Nlog2 = f60
+asinh_w_3        = f61
+asinh_w_5        = f62
+asinh_w_cube     = f63
+asinh_w_7        = f64
+log_arg_early    = f65
+asinh_w_9        = f66
+asinh_w_13       = f67
+asinh_w_seven    = f68
+
+// Data tables
+//==============================================================
+
+RODATA
+.align 16
+
+LOCAL_OBJECT_START(log_table_1)
+data8 0xBFC5555DA7212371 // P5
+data8 0x3FC999A19EEF5826 // P4
+data8 0xBFCFFFFFFFFEF009 // P3
+data8 0x3FD555555554ECB2 // P2
+data8 0xBFE0000000000000 // P1 = -0.5
+data8 0x0000000000000000 // pad
+data8 0xb17217f7d1cf79ac, 0x00003ffe  // log2
+LOCAL_OBJECT_END(log_table_1)
+
+LOCAL_OBJECT_START(log_table_2)
+data8 0x3FE0000000000000 // 0.5
+data8 0x4008000000000000 // 3.0
+//
+data8 0x8824BE4D74BC4F00, 0x00003FF9 // C13
+data8 0xB725A2CD9556CC57, 0x0000BFF9 // C11
+data8 0xF8E339127FBFF49D, 0x00003FF9 // C9
+data8 0xB6DB6D7DCE17CB78, 0x0000BFFA // C7
+data8 0x999999998802CCEF, 0x00003FFB // C5
+data8 0xAAAAAAAAAAA8DC40, 0x0000BFFC // C3
+LOCAL_OBJECT_END(log_table_2)
+
+
+LOCAL_OBJECT_START(log_table_3)
+data8 0x80200aaeac44ef38 , 0x00003ff6 //   log(1/frcpa(1+  0/2^-8))
+//
+data8 0xc09090a2c35aa070 , 0x00003ff7 //   log(1/frcpa(1+  1/2^-8))
+data8 0xa0c94fcb41977c75 , 0x00003ff8 //   log(1/frcpa(1+  2/2^-8))
+data8 0xe18b9c263af83301 , 0x00003ff8 //   log(1/frcpa(1+  3/2^-8))
+data8 0x8d35c8d6399c30ea , 0x00003ff9 //   log(1/frcpa(1+  4/2^-8))
+data8 0xadd4d2ecd601cbb8 , 0x00003ff9 //   log(1/frcpa(1+  5/2^-8))
+//
+data8 0xce95403a192f9f01 , 0x00003ff9 //   log(1/frcpa(1+  6/2^-8))
+data8 0xeb59392cbcc01096 , 0x00003ff9 //   log(1/frcpa(1+  7/2^-8))
+data8 0x862c7d0cefd54c5d , 0x00003ffa //   log(1/frcpa(1+  8/2^-8))
+data8 0x94aa63c65e70d499 , 0x00003ffa //   log(1/frcpa(1+  9/2^-8))
+data8 0xa54a696d4b62b382 , 0x00003ffa //   log(1/frcpa(1+ 10/2^-8))
+//
+data8 0xb3e4a796a5dac208 , 0x00003ffa //   log(1/frcpa(1+ 11/2^-8))
+data8 0xc28c45b1878340a9 , 0x00003ffa //   log(1/frcpa(1+ 12/2^-8))
+data8 0xd35c55f39d7a6235 , 0x00003ffa //   log(1/frcpa(1+ 13/2^-8))
+data8 0xe220f037b954f1f5 , 0x00003ffa //   log(1/frcpa(1+ 14/2^-8))
+data8 0xf0f3389b036834f3 , 0x00003ffa //   log(1/frcpa(1+ 15/2^-8))
+//
+data8 0xffd3488d5c980465 , 0x00003ffa //   log(1/frcpa(1+ 16/2^-8))
+data8 0x87609ce2ed300490 , 0x00003ffb //   log(1/frcpa(1+ 17/2^-8))
+data8 0x8ede9321e8c85927 , 0x00003ffb //   log(1/frcpa(1+ 18/2^-8))
+data8 0x96639427f2f8e2f4 , 0x00003ffb //   log(1/frcpa(1+ 19/2^-8))
+data8 0x9defad3e8f73217b , 0x00003ffb //   log(1/frcpa(1+ 20/2^-8))
+//
+data8 0xa582ebd50097029c , 0x00003ffb //   log(1/frcpa(1+ 21/2^-8))
+data8 0xac06dbe75ab80fee , 0x00003ffb //   log(1/frcpa(1+ 22/2^-8))
+data8 0xb3a78449b2d3ccca , 0x00003ffb //   log(1/frcpa(1+ 23/2^-8))
+data8 0xbb4f79635ab46bb2 , 0x00003ffb //   log(1/frcpa(1+ 24/2^-8))
+data8 0xc2fec93a83523f3f , 0x00003ffb //   log(1/frcpa(1+ 25/2^-8))
+//
+data8 0xc99af2eaca4c4571 , 0x00003ffb //   log(1/frcpa(1+ 26/2^-8))
+data8 0xd1581106472fa653 , 0x00003ffb //   log(1/frcpa(1+ 27/2^-8))
+data8 0xd8002560d4355f2e , 0x00003ffb //   log(1/frcpa(1+ 28/2^-8))
+data8 0xdfcb43b4fe508632 , 0x00003ffb //   log(1/frcpa(1+ 29/2^-8))
+data8 0xe67f6dff709d4119 , 0x00003ffb //   log(1/frcpa(1+ 30/2^-8))
+//
+data8 0xed393b1c22351280 , 0x00003ffb //   log(1/frcpa(1+ 31/2^-8))
+data8 0xf5192bff087bcc35 , 0x00003ffb //   log(1/frcpa(1+ 32/2^-8))
+data8 0xfbdf4ff6dfef2fa3 , 0x00003ffb //   log(1/frcpa(1+ 33/2^-8))
+data8 0x81559a97f92f9cc7 , 0x00003ffc //   log(1/frcpa(1+ 34/2^-8))
+data8 0x84be72bce90266e8 , 0x00003ffc //   log(1/frcpa(1+ 35/2^-8))
+//
+data8 0x88bc74113f23def2 , 0x00003ffc //   log(1/frcpa(1+ 36/2^-8))
+data8 0x8c2ba3edf6799d11 , 0x00003ffc //   log(1/frcpa(1+ 37/2^-8))
+data8 0x8f9dc92f92ea08b1 , 0x00003ffc //   log(1/frcpa(1+ 38/2^-8))
+data8 0x9312e8f36efab5a7 , 0x00003ffc //   log(1/frcpa(1+ 39/2^-8))
+data8 0x968b08643409ceb6 , 0x00003ffc //   log(1/frcpa(1+ 40/2^-8))
+//
+data8 0x9a062cba08a1708c , 0x00003ffc //   log(1/frcpa(1+ 41/2^-8))
+data8 0x9d845b3abf95485c , 0x00003ffc //   log(1/frcpa(1+ 42/2^-8))
+data8 0xa06fd841bc001bb4 , 0x00003ffc //   log(1/frcpa(1+ 43/2^-8))
+data8 0xa3f3a74652fbe0db , 0x00003ffc //   log(1/frcpa(1+ 44/2^-8))
+data8 0xa77a8fb2336f20f5 , 0x00003ffc //   log(1/frcpa(1+ 45/2^-8))
+//
+data8 0xab0497015d28b0a0 , 0x00003ffc //   log(1/frcpa(1+ 46/2^-8))
+data8 0xae91c2be6ba6a615 , 0x00003ffc //   log(1/frcpa(1+ 47/2^-8))
+data8 0xb189d1b99aebb20b , 0x00003ffc //   log(1/frcpa(1+ 48/2^-8))
+data8 0xb51cced5de9c1b2c , 0x00003ffc //   log(1/frcpa(1+ 49/2^-8))
+data8 0xb819bee9e720d42f , 0x00003ffc //   log(1/frcpa(1+ 50/2^-8))
+//
+data8 0xbbb2a0947b093a5d , 0x00003ffc //   log(1/frcpa(1+ 51/2^-8))
+data8 0xbf4ec1505811684a , 0x00003ffc //   log(1/frcpa(1+ 52/2^-8))
+data8 0xc2535bacfa8975ff , 0x00003ffc //   log(1/frcpa(1+ 53/2^-8))
+data8 0xc55a3eafad187eb8 , 0x00003ffc //   log(1/frcpa(1+ 54/2^-8))
+data8 0xc8ff2484b2c0da74 , 0x00003ffc //   log(1/frcpa(1+ 55/2^-8))
+//
+data8 0xcc0b1a008d53ab76 , 0x00003ffc //   log(1/frcpa(1+ 56/2^-8))
+data8 0xcfb6203844b3209b , 0x00003ffc //   log(1/frcpa(1+ 57/2^-8))
+data8 0xd2c73949a47a19f5 , 0x00003ffc //   log(1/frcpa(1+ 58/2^-8))
+data8 0xd5daae18b49d6695 , 0x00003ffc //   log(1/frcpa(1+ 59/2^-8))
+data8 0xd8f08248cf7e8019 , 0x00003ffc //   log(1/frcpa(1+ 60/2^-8))
+//
+data8 0xdca7749f1b3e540e , 0x00003ffc //   log(1/frcpa(1+ 61/2^-8))
+data8 0xdfc28e033aaaf7c7 , 0x00003ffc //   log(1/frcpa(1+ 62/2^-8))
+data8 0xe2e012a5f91d2f55 , 0x00003ffc //   log(1/frcpa(1+ 63/2^-8))
+data8 0xe600064ed9e292a8 , 0x00003ffc //   log(1/frcpa(1+ 64/2^-8))
+data8 0xe9226cce42b39f60 , 0x00003ffc //   log(1/frcpa(1+ 65/2^-8))
+//
+data8 0xec4749fd97a28360 , 0x00003ffc //   log(1/frcpa(1+ 66/2^-8))
+data8 0xef6ea1bf57780495 , 0x00003ffc //   log(1/frcpa(1+ 67/2^-8))
+data8 0xf29877ff38809091 , 0x00003ffc //   log(1/frcpa(1+ 68/2^-8))
+data8 0xf5c4d0b245cb89be , 0x00003ffc //   log(1/frcpa(1+ 69/2^-8))
+data8 0xf8f3afd6fcdef3aa , 0x00003ffc //   log(1/frcpa(1+ 70/2^-8))
+//
+data8 0xfc2519756be1abc7 , 0x00003ffc //   log(1/frcpa(1+ 71/2^-8))
+data8 0xff59119f503e6832 , 0x00003ffc //   log(1/frcpa(1+ 72/2^-8))
+data8 0x8147ce381ae0e146 , 0x00003ffd //   log(1/frcpa(1+ 73/2^-8))
+data8 0x82e45f06cb1ad0f2 , 0x00003ffd //   log(1/frcpa(1+ 74/2^-8))
+data8 0x842f5c7c573cbaa2 , 0x00003ffd //   log(1/frcpa(1+ 75/2^-8))
+//
+data8 0x85ce471968c8893a , 0x00003ffd //   log(1/frcpa(1+ 76/2^-8))
+data8 0x876e8305bc04066d , 0x00003ffd //   log(1/frcpa(1+ 77/2^-8))
+data8 0x891012678031fbb3 , 0x00003ffd //   log(1/frcpa(1+ 78/2^-8))
+data8 0x8a5f1493d766a05f , 0x00003ffd //   log(1/frcpa(1+ 79/2^-8))
+data8 0x8c030c778c56fa00 , 0x00003ffd //   log(1/frcpa(1+ 80/2^-8))
+//
+data8 0x8da85df17e31d9ae , 0x00003ffd //   log(1/frcpa(1+ 81/2^-8))
+data8 0x8efa663e7921687e , 0x00003ffd //   log(1/frcpa(1+ 82/2^-8))
+data8 0x90a22b6875c6a1f8 , 0x00003ffd //   log(1/frcpa(1+ 83/2^-8))
+data8 0x91f62cc8f5d24837 , 0x00003ffd //   log(1/frcpa(1+ 84/2^-8))
+data8 0x93a06cfc3857d980 , 0x00003ffd //   log(1/frcpa(1+ 85/2^-8))
+//
+data8 0x94f66d5e6fd01ced , 0x00003ffd //   log(1/frcpa(1+ 86/2^-8))
+data8 0x96a330156e6772f2 , 0x00003ffd //   log(1/frcpa(1+ 87/2^-8))
+data8 0x97fb3582754ea25b , 0x00003ffd //   log(1/frcpa(1+ 88/2^-8))
+data8 0x99aa8259aad1bbf2 , 0x00003ffd //   log(1/frcpa(1+ 89/2^-8))
+data8 0x9b0492f6227ae4a8 , 0x00003ffd //   log(1/frcpa(1+ 90/2^-8))
+//
+data8 0x9c5f8e199bf3a7a5 , 0x00003ffd //   log(1/frcpa(1+ 91/2^-8))
+data8 0x9e1293b9998c1daa , 0x00003ffd //   log(1/frcpa(1+ 92/2^-8))
+data8 0x9f6fa31e0b41f308 , 0x00003ffd //   log(1/frcpa(1+ 93/2^-8))
+data8 0xa0cda11eaf46390e , 0x00003ffd //   log(1/frcpa(1+ 94/2^-8))
+data8 0xa22c8f029cfa45aa , 0x00003ffd //   log(1/frcpa(1+ 95/2^-8))
+//
+data8 0xa3e48badb7856b34 , 0x00003ffd //   log(1/frcpa(1+ 96/2^-8))
+data8 0xa5459a0aa95849f9 , 0x00003ffd //   log(1/frcpa(1+ 97/2^-8))
+data8 0xa6a79c84480cfebd , 0x00003ffd //   log(1/frcpa(1+ 98/2^-8))
+data8 0xa80a946d0fcb3eb2 , 0x00003ffd //   log(1/frcpa(1+ 99/2^-8))
+data8 0xa96e831a3ea7b314 , 0x00003ffd //   log(1/frcpa(1+100/2^-8))
+//
+data8 0xaad369e3dc544e3b , 0x00003ffd //   log(1/frcpa(1+101/2^-8))
+data8 0xac92e9588952c815 , 0x00003ffd //   log(1/frcpa(1+102/2^-8))
+data8 0xadfa035aa1ed8fdc , 0x00003ffd //   log(1/frcpa(1+103/2^-8))
+data8 0xaf6219eae1ad6e34 , 0x00003ffd //   log(1/frcpa(1+104/2^-8))
+data8 0xb0cb2e6d8160f753 , 0x00003ffd //   log(1/frcpa(1+105/2^-8))
+//
+data8 0xb2354249ad950f72 , 0x00003ffd //   log(1/frcpa(1+106/2^-8))
+data8 0xb3a056e98ef4a3b4 , 0x00003ffd //   log(1/frcpa(1+107/2^-8))
+data8 0xb50c6dba52c6292a , 0x00003ffd //   log(1/frcpa(1+108/2^-8))
+data8 0xb679882c33876165 , 0x00003ffd //   log(1/frcpa(1+109/2^-8))
+data8 0xb78c07429785cedc , 0x00003ffd //   log(1/frcpa(1+110/2^-8))
+//
+data8 0xb8faeb8dc4a77d24 , 0x00003ffd //   log(1/frcpa(1+111/2^-8))
+data8 0xba6ad77eb36ae0d6 , 0x00003ffd //   log(1/frcpa(1+112/2^-8))
+data8 0xbbdbcc915e9bee50 , 0x00003ffd //   log(1/frcpa(1+113/2^-8))
+data8 0xbd4dcc44f8cf12ef , 0x00003ffd //   log(1/frcpa(1+114/2^-8))
+data8 0xbec0d81bf5b531fa , 0x00003ffd //   log(1/frcpa(1+115/2^-8))
+//
+data8 0xc034f19c139186f4 , 0x00003ffd //   log(1/frcpa(1+116/2^-8))
+data8 0xc14cb69f7c5e55ab , 0x00003ffd //   log(1/frcpa(1+117/2^-8))
+data8 0xc2c2abbb6e5fd56f , 0x00003ffd //   log(1/frcpa(1+118/2^-8))
+data8 0xc439b2c193e6771e , 0x00003ffd //   log(1/frcpa(1+119/2^-8))
+data8 0xc553acb9d5c67733 , 0x00003ffd //   log(1/frcpa(1+120/2^-8))
+//
+data8 0xc6cc96e441272441 , 0x00003ffd //   log(1/frcpa(1+121/2^-8))
+data8 0xc8469753eca88c30 , 0x00003ffd //   log(1/frcpa(1+122/2^-8))
+data8 0xc962cf3ce072b05c , 0x00003ffd //   log(1/frcpa(1+123/2^-8))
+data8 0xcadeba8771f694aa , 0x00003ffd //   log(1/frcpa(1+124/2^-8))
+data8 0xcc5bc08d1f72da94 , 0x00003ffd //   log(1/frcpa(1+125/2^-8))
+//
+data8 0xcd7a3f99ea035c29 , 0x00003ffd //   log(1/frcpa(1+126/2^-8))
+data8 0xcef93860c8a53c35 , 0x00003ffd //   log(1/frcpa(1+127/2^-8))
+data8 0xd0192f68a7ed23df , 0x00003ffd //   log(1/frcpa(1+128/2^-8))
+data8 0xd19a201127d3c645 , 0x00003ffd //   log(1/frcpa(1+129/2^-8))
+data8 0xd2bb92f4061c172c , 0x00003ffd //   log(1/frcpa(1+130/2^-8))
+//
+data8 0xd43e80b2ee8cc8fc , 0x00003ffd //   log(1/frcpa(1+131/2^-8))
+data8 0xd56173601fc4ade4 , 0x00003ffd //   log(1/frcpa(1+132/2^-8))
+data8 0xd6e6637efb54086f , 0x00003ffd //   log(1/frcpa(1+133/2^-8))
+data8 0xd80ad9f58f3c8193 , 0x00003ffd //   log(1/frcpa(1+134/2^-8))
+data8 0xd991d1d31aca41f8 , 0x00003ffd //   log(1/frcpa(1+135/2^-8))
+//
+data8 0xdab7d02231484a93 , 0x00003ffd //   log(1/frcpa(1+136/2^-8))
+data8 0xdc40d532cde49a54 , 0x00003ffd //   log(1/frcpa(1+137/2^-8))
+data8 0xdd685f79ed8b265e , 0x00003ffd //   log(1/frcpa(1+138/2^-8))
+data8 0xde9094bbc0e17b1d , 0x00003ffd //   log(1/frcpa(1+139/2^-8))
+data8 0xe01c91b78440c425 , 0x00003ffd //   log(1/frcpa(1+140/2^-8))
+//
+data8 0xe14658f26997e729 , 0x00003ffd //   log(1/frcpa(1+141/2^-8))
+data8 0xe270cdc2391e0d23 , 0x00003ffd //   log(1/frcpa(1+142/2^-8))
+data8 0xe3ffce3a2aa64922 , 0x00003ffd //   log(1/frcpa(1+143/2^-8))
+data8 0xe52bdb274ed82887 , 0x00003ffd //   log(1/frcpa(1+144/2^-8))
+data8 0xe6589852e75d7df6 , 0x00003ffd //   log(1/frcpa(1+145/2^-8))
+//
+data8 0xe786068c79937a7d , 0x00003ffd //   log(1/frcpa(1+146/2^-8))
+data8 0xe91903adad100911 , 0x00003ffd //   log(1/frcpa(1+147/2^-8))
+data8 0xea481236f7d35bb0 , 0x00003ffd //   log(1/frcpa(1+148/2^-8))
+data8 0xeb77d48c692e6b14 , 0x00003ffd //   log(1/frcpa(1+149/2^-8))
+data8 0xeca84b83d7297b87 , 0x00003ffd //   log(1/frcpa(1+150/2^-8))
+//
+data8 0xedd977f4962aa158 , 0x00003ffd //   log(1/frcpa(1+151/2^-8))
+data8 0xef7179a22f257754 , 0x00003ffd //   log(1/frcpa(1+152/2^-8))
+data8 0xf0a450d139366ca7 , 0x00003ffd //   log(1/frcpa(1+153/2^-8))
+data8 0xf1d7e0524ff9ffdb , 0x00003ffd //   log(1/frcpa(1+154/2^-8))
+data8 0xf30c29036a8b6cae , 0x00003ffd //   log(1/frcpa(1+155/2^-8))
+//
+data8 0xf4412bc411ea8d92 , 0x00003ffd //   log(1/frcpa(1+156/2^-8))
+data8 0xf576e97564c8619d , 0x00003ffd //   log(1/frcpa(1+157/2^-8))
+data8 0xf6ad62fa1b5f172f , 0x00003ffd //   log(1/frcpa(1+158/2^-8))
+data8 0xf7e499368b55c542 , 0x00003ffd //   log(1/frcpa(1+159/2^-8))
+data8 0xf91c8d10abaffe22 , 0x00003ffd //   log(1/frcpa(1+160/2^-8))
+//
+data8 0xfa553f7018c966f3 , 0x00003ffd //   log(1/frcpa(1+161/2^-8))
+data8 0xfb8eb13e185d802c , 0x00003ffd //   log(1/frcpa(1+162/2^-8))
+data8 0xfcc8e3659d9bcbed , 0x00003ffd //   log(1/frcpa(1+163/2^-8))
+data8 0xfe03d6d34d487fd2 , 0x00003ffd //   log(1/frcpa(1+164/2^-8))
+data8 0xff3f8c7581e9f0ae , 0x00003ffd //   log(1/frcpa(1+165/2^-8))
+//
+data8 0x803e029e280173ae , 0x00003ffe //   log(1/frcpa(1+166/2^-8))
+data8 0x80dca10cc52d0757 , 0x00003ffe //   log(1/frcpa(1+167/2^-8))
+data8 0x817ba200632755a1 , 0x00003ffe //   log(1/frcpa(1+168/2^-8))
+data8 0x821b05f3b01d6774 , 0x00003ffe //   log(1/frcpa(1+169/2^-8))
+data8 0x82bacd623ff19d06 , 0x00003ffe //   log(1/frcpa(1+170/2^-8))
+//
+data8 0x835af8c88e7a8f47 , 0x00003ffe //   log(1/frcpa(1+171/2^-8))
+data8 0x83c5f8299e2b4091 , 0x00003ffe //   log(1/frcpa(1+172/2^-8))
+data8 0x8466cb43f3d87300 , 0x00003ffe //   log(1/frcpa(1+173/2^-8))
+data8 0x850803a67c80ca4b , 0x00003ffe //   log(1/frcpa(1+174/2^-8))
+data8 0x85a9a1d11a23b461 , 0x00003ffe //   log(1/frcpa(1+175/2^-8))
+//
+data8 0x864ba644a18e6e05 , 0x00003ffe //   log(1/frcpa(1+176/2^-8))
+data8 0x86ee1182dcc432f7 , 0x00003ffe //   log(1/frcpa(1+177/2^-8))
+data8 0x875a925d7e48c316 , 0x00003ffe //   log(1/frcpa(1+178/2^-8))
+data8 0x87fdaa109d23aef7 , 0x00003ffe //   log(1/frcpa(1+179/2^-8))
+data8 0x88a129ed4becfaf2 , 0x00003ffe //   log(1/frcpa(1+180/2^-8))
+//
+data8 0x89451278ecd7f9cf , 0x00003ffe //   log(1/frcpa(1+181/2^-8))
+data8 0x89b29295f8432617 , 0x00003ffe //   log(1/frcpa(1+182/2^-8))
+data8 0x8a572ac5a5496882 , 0x00003ffe //   log(1/frcpa(1+183/2^-8))
+data8 0x8afc2d0ce3b2dadf , 0x00003ffe //   log(1/frcpa(1+184/2^-8))
+data8 0x8b6a69c608cfd3af , 0x00003ffe //   log(1/frcpa(1+185/2^-8))
+//
+data8 0x8c101e106e899a83 , 0x00003ffe //   log(1/frcpa(1+186/2^-8))
+data8 0x8cb63de258f9d626 , 0x00003ffe //   log(1/frcpa(1+187/2^-8))
+data8 0x8d2539c5bd19e2b1 , 0x00003ffe //   log(1/frcpa(1+188/2^-8))
+data8 0x8dcc0e064b29e6f1 , 0x00003ffe //   log(1/frcpa(1+189/2^-8))
+data8 0x8e734f45d88357ae , 0x00003ffe //   log(1/frcpa(1+190/2^-8))
+//
+data8 0x8ee30cef034a20db , 0x00003ffe //   log(1/frcpa(1+191/2^-8))
+data8 0x8f8b0515686d1d06 , 0x00003ffe //   log(1/frcpa(1+192/2^-8))
+data8 0x90336bba039bf32f , 0x00003ffe //   log(1/frcpa(1+193/2^-8))
+data8 0x90a3edd23d1c9d58 , 0x00003ffe //   log(1/frcpa(1+194/2^-8))
+data8 0x914d0de2f5d61b32 , 0x00003ffe //   log(1/frcpa(1+195/2^-8))
+//
+data8 0x91be0c20d28173b5 , 0x00003ffe //   log(1/frcpa(1+196/2^-8))
+data8 0x9267e737c06cd34a , 0x00003ffe //   log(1/frcpa(1+197/2^-8))
+data8 0x92d962ae6abb1237 , 0x00003ffe //   log(1/frcpa(1+198/2^-8))
+data8 0x9383fa6afbe2074c , 0x00003ffe //   log(1/frcpa(1+199/2^-8))
+data8 0x942f0421651c1c4e , 0x00003ffe //   log(1/frcpa(1+200/2^-8))
+//
+data8 0x94a14a3845bb985e , 0x00003ffe //   log(1/frcpa(1+201/2^-8))
+data8 0x954d133857f861e7 , 0x00003ffe //   log(1/frcpa(1+202/2^-8))
+data8 0x95bfd96468e604c4 , 0x00003ffe //   log(1/frcpa(1+203/2^-8))
+data8 0x9632d31cafafa858 , 0x00003ffe //   log(1/frcpa(1+204/2^-8))
+data8 0x96dfaabd86fa1647 , 0x00003ffe //   log(1/frcpa(1+205/2^-8))
+//
+data8 0x9753261fcbb2a594 , 0x00003ffe //   log(1/frcpa(1+206/2^-8))
+data8 0x9800c11b426b996d , 0x00003ffe //   log(1/frcpa(1+207/2^-8))
+data8 0x9874bf4d45ae663c , 0x00003ffe //   log(1/frcpa(1+208/2^-8))
+data8 0x99231f5ee9a74f79 , 0x00003ffe //   log(1/frcpa(1+209/2^-8))
+data8 0x9997a18a56bcad28 , 0x00003ffe //   log(1/frcpa(1+210/2^-8))
+//
+data8 0x9a46c873a3267e79 , 0x00003ffe //   log(1/frcpa(1+211/2^-8))
+data8 0x9abbcfc621eb6cb6 , 0x00003ffe //   log(1/frcpa(1+212/2^-8))
+data8 0x9b310cb0d354c990 , 0x00003ffe //   log(1/frcpa(1+213/2^-8))
+data8 0x9be14cf9e1b3515c , 0x00003ffe //   log(1/frcpa(1+214/2^-8))
+data8 0x9c5710b8cbb73a43 , 0x00003ffe //   log(1/frcpa(1+215/2^-8))
+//
+data8 0x9ccd0abd301f399c , 0x00003ffe //   log(1/frcpa(1+216/2^-8))
+data8 0x9d7e67f3bdce8888 , 0x00003ffe //   log(1/frcpa(1+217/2^-8))
+data8 0x9df4ea81a99daa01 , 0x00003ffe //   log(1/frcpa(1+218/2^-8))
+data8 0x9e6ba405a54514ba , 0x00003ffe //   log(1/frcpa(1+219/2^-8))
+data8 0x9f1e21c8c7bb62b3 , 0x00003ffe //   log(1/frcpa(1+220/2^-8))
+//
+data8 0x9f956593f6b6355c , 0x00003ffe //   log(1/frcpa(1+221/2^-8))
+data8 0xa00ce1092e5498c3 , 0x00003ffe //   log(1/frcpa(1+222/2^-8))
+data8 0xa0c08309c4b912c1 , 0x00003ffe //   log(1/frcpa(1+223/2^-8))
+data8 0xa1388a8c6faa2afa , 0x00003ffe //   log(1/frcpa(1+224/2^-8))
+data8 0xa1b0ca7095b5f985 , 0x00003ffe //   log(1/frcpa(1+225/2^-8))
+//
+data8 0xa22942eb47534a00 , 0x00003ffe //   log(1/frcpa(1+226/2^-8))
+data8 0xa2de62326449d0a3 , 0x00003ffe //   log(1/frcpa(1+227/2^-8))
+data8 0xa357690f88bfe345 , 0x00003ffe //   log(1/frcpa(1+228/2^-8))
+data8 0xa3d0a93f45169a4b , 0x00003ffe //   log(1/frcpa(1+229/2^-8))
+data8 0xa44a22f7ffe65f30 , 0x00003ffe //   log(1/frcpa(1+230/2^-8))
+//
+data8 0xa500c5e5b4c1aa36 , 0x00003ffe //   log(1/frcpa(1+231/2^-8))
+data8 0xa57ad064eb2ebbc2 , 0x00003ffe //   log(1/frcpa(1+232/2^-8))
+data8 0xa5f5152dedf4384e , 0x00003ffe //   log(1/frcpa(1+233/2^-8))
+data8 0xa66f9478856233ec , 0x00003ffe //   log(1/frcpa(1+234/2^-8))
+data8 0xa6ea4e7cca02c32e , 0x00003ffe //   log(1/frcpa(1+235/2^-8))
+//
+data8 0xa765437325341ccf , 0x00003ffe //   log(1/frcpa(1+236/2^-8))
+data8 0xa81e21e6c75b4020 , 0x00003ffe //   log(1/frcpa(1+237/2^-8))
+data8 0xa899ab333fe2b9ca , 0x00003ffe //   log(1/frcpa(1+238/2^-8))
+data8 0xa9157039c51ebe71 , 0x00003ffe //   log(1/frcpa(1+239/2^-8))
+data8 0xa991713433c2b999 , 0x00003ffe //   log(1/frcpa(1+240/2^-8))
+//
+data8 0xaa0dae5cbcc048b3 , 0x00003ffe //   log(1/frcpa(1+241/2^-8))
+data8 0xaa8a27ede5eb13ad , 0x00003ffe //   log(1/frcpa(1+242/2^-8))
+data8 0xab06de228a9e3499 , 0x00003ffe //   log(1/frcpa(1+243/2^-8))
+data8 0xab83d135dc633301 , 0x00003ffe //   log(1/frcpa(1+244/2^-8))
+data8 0xac3fb076adc7fe7a , 0x00003ffe //   log(1/frcpa(1+245/2^-8))
+//
+data8 0xacbd3cbbe47988f1 , 0x00003ffe //   log(1/frcpa(1+246/2^-8))
+data8 0xad3b06b1a5dc57c3 , 0x00003ffe //   log(1/frcpa(1+247/2^-8))
+data8 0xadb90e94af887717 , 0x00003ffe //   log(1/frcpa(1+248/2^-8))
+data8 0xae3754a218f7c816 , 0x00003ffe //   log(1/frcpa(1+249/2^-8))
+data8 0xaeb5d9175437afa2 , 0x00003ffe //   log(1/frcpa(1+250/2^-8))
+//
+data8 0xaf349c322e9c7cee , 0x00003ffe //   log(1/frcpa(1+251/2^-8))
+data8 0xafb39e30d1768d1c , 0x00003ffe //   log(1/frcpa(1+252/2^-8))
+data8 0xb032df51c2c93116 , 0x00003ffe //   log(1/frcpa(1+253/2^-8))
+data8 0xb0b25fd3e6035ad9 , 0x00003ffe //   log(1/frcpa(1+254/2^-8))
+data8 0xb1321ff67cba178c , 0x00003ffe //   log(1/frcpa(1+255/2^-8))
+LOCAL_OBJECT_END(log_table_3)
+
+
+.section .text
+GLOBAL_LIBM_ENTRY(asinh)
+
+{ .mfi
+      getf.exp   asinh_GR_f8 = f8        // Must recompute later if x unorm
+      fclass.m   p12,p0 = f8, 0x0b       // Test x unorm
+      mov        log_GR_exp_17_ones = 0x1ffff
+}
+{ .mfi
+      addl       NR_table_address = @ltoff(log_table_1), gp
+      fma.s1     log_y = f8, f8, f1      // y = x^2 + 1
+      mov        asinh_GR_comp = 0xfffc
+}
+;;
+
+{ .mfi
+      mov        log_GR_exp_16_ones = 0xffff //BIAS
+      fclass.m   p6,p0 = f8, 0xe7        // Test for x = NaN and inf and zero
+      mov        log_GR_comp2 = 0x1003e
+}
+{ .mfi
+      ld8        NR_table_address = [NR_table_address]
+      fma.s1     asinh_w_sq = f8,f8,f0   // x^2
+      nop.i      0
+}
+;;
+
+{ .mfi
+      nop.m      0
+      fcmp.lt.s1 p7,p11 = f8,f0          // if x<0
+      nop.i      0
+}
+{ .mfb
+      nop.m      0
+      fnorm.s1   fNormX = f8             // Normalize x
+(p12) br.cond.spnt ASINH_UNORM           // Branch if x=unorm
+}
+;;
+
+ASINH_COMMON:
+// Return here if x=unorm and not denorm
+{ .mfi
+      //to get second table address
+      adds       log_table_address2 = 0x40, NR_table_address
+      fma.s1     log_arg = f8,f1,f8
+      nop.i      0
+}
+{ .mfb
+      nop.m      0
+(p6)  fma.d.s0   f8 = f8,f1,f8           // quietize nan result if x=nan
+(p6)  br.ret.spnt b0                     // Exit for x=nan and inf and zero
+}
+;;
+
+{ .mfi
+      ldfpd      NR1,NR2 = [log_table_address2],16
+      frsqrta.s1 log_y_rs,p0 = log_y     // z=1/sqrt(y)
+      nop.i      0
+}
+;;
+
+{ .mfi
+      ldfe       log_C13 = [log_table_address2],16
+      nop.f      0
+      and        asinh_GR_f8 = asinh_GR_f8,log_GR_exp_17_ones
+}
+;;
+
+{ .mib
+      ldfe       log_C11 = [log_table_address2],16
+      cmp.le     p13,p0 = log_GR_comp2,asinh_GR_f8
+(p13) br.cond.spnt LOG_COMMON1           // Branch if path 4, |x| >= 2^63
+}
+;;
+
+{ .mfi
+      nop.m      0
+      fma.s1     log_y_rs_iter = log_y_rs,log_y,f0  // y*z
+      nop.i      0
+}
+;;
+
+.pred.rel "mutex",p7,p11
+{ .mfi
+      nop.m      0
+(p11) mov        asinh_f8 = fNormX
+      nop.i      0
+}
+{ .mfb
+      cmp.gt     p8,p0 = asinh_GR_comp,asinh_GR_f8
+(p7)  fnma.s1    asinh_f8 = fNormX,f1,f0
+(p8)  br.cond.spnt ASINH_NEAR_ZERO       // Branch if path 2, 0 < |x| < 2^-3
+}
+;;
+
+// Here if main path, 2^-3 <= |x| < 2^63
+///////////////////////////////// The first iteration /////////////////////////
+{ .mfi
+      ldfpd      log_P5,log_P4 = [NR_table_address],16
+      fnma.s1    log_y_rs_iter = log_y_rs_iter,log_y_rs,NR2     // 3-(y*z)*z
+      nop.i      0
+}
+{ .mfi
+      nop.m      0
+      fma.s1     log_y_rs_iter1 = log_y_rs,NR1,f0               // 0.5*z
+      nop.i      0
+}
+;;
+
+{ .mfi
+      ldfpd      log_P3,log_P2 = [NR_table_address],16
+      // (0.5*z)*(3-(y*z)*z)
+      fma.s1     log_y_rs_iter = log_y_rs_iter1,log_y_rs_iter,f0
+      nop.i      0
+}
+;;
+
+/////////////////////////// The second iteration /////////////////////////////
+{ .mfi
+      ldfd       log_P1 = [NR_table_address],16
+      fma.s1     log_y_rs = log_y_rs_iter,log_y,f0
+      nop.i      0
+}
+;;
+
+{ .mfi
+      nop.m      0
+      fnma.s1    log_y_rs = log_y_rs,log_y_rs_iter,NR2
+      nop.i      0
+}
+{ .mfi
+      nop.m      0
+      fma.s1     log_y_rs_iter1 = log_y_rs_iter,NR1,f0
+      nop.i      0
+}
+;;
+
+{ .mfi
+      ldfe       log2 = [NR_table_address],16
+      // (0.5*z)*(3-(y*z)*z)
+      fma.s1     log_y_rs_iter = log_y_rs_iter1,log_y_rs,f0
+      nop.i      0
+}
+{ .mfi
+      nop.m      0
+      // (0.5*z)*(3-(y*z)*z)
+      fma.s1     log_arg_early = log_y_rs_iter1,log_y_rs,f0
+      nop.i      0
+}
+;;
+
+////////////////////////////////// The third iteration ////////////////////////
+{ .mfi
+      nop.m      0
+      fma.s1     log_y_rs = log_y_rs_iter,log_y,f0
+      nop.i      0
+}
+{ .mfi
+      nop.m      0
+      fma.s1     log_y_rs_iter1 = log_y_rs_iter,NR1,f0
+      nop.i      0
+}
+;;
+
+{ .mfi
+      nop.m      0
+      fma.s1     log_arg_early = log_arg_early,log_y,asinh_f8
+      nop.i      0
+}
+;;
+
+{ .mfi
+      nop.m      0
+      fnma.s1    log_y_rs = log_y_rs,log_y_rs_iter,NR2
+      nop.i      0
+}
+{ .mfi
+      nop.m      0
+      fma.s1     log_y_rs_iter1 = log_y_rs_iter1,log_y,f0
+      nop.i      0
+}
+;;
+
+{ .mfi
+      nop.m      0
+      frcpa.s1   log_C,p0 = f1,log_arg_early
+      nop.i      0
+}
+;;
+
+{ .mfi
+      getf.exp   log_GR_signexp_f8 = log_arg_early
+      nop.f      0
+      nop.i      0
+}
+;;
+
+{ .mfi
+      getf.sig   log_GR_significand_f8 = log_arg_early
+      // (0.5*z)*(3-(y*z)*z)*y + |x|
+      fma.s1     log_arg = log_y_rs_iter1,log_y_rs,asinh_f8
+      //to get third table address
+      adds       log_table_address3 = 0x70, NR_table_address
+}
+;;
+
+///////////////////////////////// The end NR iterations /////////////////////
+{ .mfi
+      nop.m      0
+      nop.f      0
+      //significant bit destruction
+      and        log_GR_exp_f8 = log_GR_signexp_f8, log_GR_exp_17_ones
+}
+;;
+
+{ .mfi
+      //BIAS subtraction
+      sub        log_GR_true_exp_f8 = log_GR_exp_f8, log_GR_exp_16_ones
+(p7)  fnma.s1    log2 = log2,f1,f0
+      nop.i      0
+}
+;;
+
+{ .mfi
+      setf.sig   log_int_Nfloat = log_GR_true_exp_f8
+      fms.s1     log_r = log_C,log_arg,f1  // C = frcpa(x); r = C * x - 1
+      extr.u     log_GR_index = log_GR_significand_f8,55,8 //Extract 8 bits
+}
+;;
+
+{ .mmi
+      //pre-index*16 + index
+      shladd     log_table_address3 = log_GR_index,4,log_table_address3
+;;
+      ldfe       log_T = [log_table_address3]
+      nop.i      0
+}
+;;
+
+{ .mfi
+      nop.m      0
+      fma.s1     log_rsq = log_r, log_r, f0          //r^2
+      nop.i      0
+}
+{ .mfi
+      nop.m      0
+      fma.s1     log_rp_p4 = log_P5, log_r, log_P4   //P5*r + P4
+      nop.i      0
+}
+;;
+
+{ .mfi
+      nop.m      0
+      fma.s1     log_rp_p32 = log_P3, log_r, log_P2  //P3*r + P2
+      nop.i      0
+}
+;;
+
+{ .mfi
+      nop.m      0
+      //convert N to the floating-point format
+      fcvt.xf    log_Nfloat = log_int_Nfloat
+      nop.i      0
+}
+;;
+
+{ .mfi
+      nop.m      0
+      fma.s1     log_rcube = log_rsq, log_r, f0      //r^3
+      nop.i      0
+}
+{ .mfi
+      nop.m      0
+      fma.s1     log_rp_p10 = log_rsq, log_P1, log_r //P1*r^2 + r
+      nop.i      0
+}
+;;
+
+{ .mfi
+      nop.m      0
+      //(P5*r + P4)*r^2 + P3*r + P2
+      fma.s1     log_rp_p2 = log_rp_p4, log_rsq, log_rp_p32
+      nop.i      0
+}
+;;
+
+.pred.rel "mutex",p7,p11
+{ .mfi
+      nop.m      0
+(p11) fma.s1     log_T_plus_Nlog2 = log_Nfloat,log2,log_T  //N*log2 + T if x>0
+      nop.i      0
+}
+{ .mfi
+      nop.m      0
+(p7)  fms.s1     log_T_plus_Nlog2 = log_Nfloat,log2,log_T  //N*log2 - T if x<0
+      nop.i      0
+}
+;;
+
+{ .mfi
+      nop.m      0
+      //((P5*r + P4)*r^2 + P3*r + P2)*w^3 + P1*r^2 + r
+      fma.s1     log_r2P_r = log_rp_p2, log_rcube, log_rp_p10
+      nop.i      0
+}
+;;
+
+{ .mfi
+      nop.m      0
+      //  N*log2 + T + ((P5*r + P4)*r^2 + P3*r + P2)*r^3 + P1*r^2 + r
+(p11) fadd.d.s0  f8 = log_T_plus_Nlog2,log_r2P_r
+      nop.i      0
+}
+{ .mfb
+      nop.m      0
+      // -N*log2 - T - ((P5*r + P4)*r^2 + P3*r + P2)*r^3 + P1*r^2 + r
+(p7)  fsub.d.s0  f8 = log_T_plus_Nlog2,log_r2P_r
+      br.ret.sptk b0           // Exit main path, path 3: 2^-3 <= |x| < 2^63
+}
+;;
+
+// Here if path 4, |x| >= 2^63
+LOG_COMMON1:
+{ .mfi
+      ldfpd      log_P5,log_P4 = [NR_table_address],16
+      nop.f      0
+      nop.i      0
+}
+;;
+
+{ .mfi
+      ldfpd      log_P3,log_P2 = [NR_table_address],16
+      frcpa.s1   log_C,p0 = f1,log_arg
+      nop.i      0
+}
+;;
+
+{ .mmi
+      getf.exp   log_GR_signexp_f8 = log_arg
+      ldfd       log_P1 = [NR_table_address],16
+      nop.i      0
+}
+;;
+
+{ .mmi
+      getf.sig   log_GR_significand_f8 = log_arg
+      ldfe       log2 = [NR_table_address],16
+      nop.i      0
+}
+;;
+
+{ .mfi
+      adds       log_table_address3 = 0x70, NR_table_address
+      nop.f      0
+      //significant bit destruction
+      and        log_GR_exp_f8 = log_GR_signexp_f8, log_GR_exp_17_ones
+}
+;;
+
+{ .mmf
+      nop.m      0
+      //BIAS subtraction
+      sub        log_GR_true_exp_f8 = log_GR_exp_f8, log_GR_exp_16_ones
+      fms.s1     log_r = log_C,log_arg,f1  //C = frcpa(x); r = C * x - 1
+}
+;;
+
+{ .mfi
+      setf.sig   log_int_Nfloat = log_GR_true_exp_f8
+      nop.f      0
+      extr.u     log_GR_index = log_GR_significand_f8,55,8 //Extract 8 bits
+}
+;;
+
+{ .mmi
+      //pre-index*16 + index
+      shladd     log_table_address3 = log_GR_index,4,log_table_address3
+;;
+      ldfe       log_T = [log_table_address3]
+      nop.i      0
+
+}
+;;
+
+{ .mfi
+      nop.m      0
+      fma.s1     log_rsq = log_r, log_r, f0          //r^2
+      nop.i      0
+}
+{ .mfi
+      nop.m      0
+      fma.s1     log_rp_p4 = log_P5, log_r, log_P4   //P5*r + P4
+      nop.i      0
+}
+;;
+
+{ .mfi
+      nop.m      0
+      fma.s1     log_rp_p32 = log_P3, log_r, log_P2  //P3*r + P2
+      nop.i      0
+}
+{ .mfi
+      nop.m      0
+(p7)  fnma.s1    log2 = log2,f1,f0
+      nop.i      0
+}
+;;
+
+{ .mfi
+      nop.m      0
+      fma.s1     log_rcube = log_rsq, log_r, f0      //r^3
+      nop.i      0
+}
+{ .mfi
+      nop.m      0
+      fma.s1     log_rp_p10 = log_rsq, log_P1, log_r //P1*r^2 + r
+      nop.i      0
+}
+;;
+
+{ .mfi
+      nop.m      0
+      //convert N to the floating-point format
+      fcvt.xf    log_Nfloat = log_int_Nfloat
+      nop.i      0
+}
+{ .mfi
+      nop.m      0
+      //(P5*r + P4)*r^2 + P3*r + P2
+      fma.s1     log_rp_p2 = log_rp_p4, log_rsq, log_rp_p32
+      nop.i      0
+}
+;;
+
+{ .mfi
+      nop.m      0
+(p7)  fnma.s1    log_T = log_T,f1,f0
+      nop.i      0
+}
+;;
+
+{ .mfi
+      nop.m      0
+      fma.s1     log_T_plus_Nlog2 = log_Nfloat,log2,log_T    //N*log2 + T
+      nop.i      0
+}
+{ .mfi
+      nop.m      0
+      //((P5*r + P4)*r^2 + P3*r + P2)*w^3 + P1*r^2 + r
+      fma.s1     log_r2P_r = log_rp_p2, log_rcube, log_rp_p10
+      nop.i      0
+}
+;;
+
+.pred.rel "mutex",p7,p11
+{ .mfi
+      nop.m      0
+      //  N*log2 + T + ((P5*r + P4)*r^2 + P3*r + P2)*r^3 + P1*r^2 + r
+(p11) fadd.d.s0  f8 = log_T_plus_Nlog2,log_r2P_r
+      nop.i      0
+}
+{ .mfb
+      nop.m      0
+      // -N*log2 - T - ((P5*r + P4)*r^2 + P3*r + P2)*r^3 + P1*r^2 + r
+(p7)  fsub.d.s0  f8 = log_T_plus_Nlog2,log_r2P_r
+      br.ret.sptk b0              // Exit path 4, |x| >= 2^63
+}
+;;
+
+// Here is path 2, 0 < |x| < 2^-3
+ASINH_NEAR_ZERO:
+{ .mfi
+      ldfe       log_C9 = [log_table_address2],16
+      fma.s1     asinh_w_cube = asinh_w_sq,fNormX,f0
+      nop.i      0
+}
+;;
+
+{ .mfi
+      ldfe       log_C7 = [log_table_address2],16
+      fma.s1     asinh_w_four = asinh_w_sq,asinh_w_sq,f0
+      nop.i      0
+}
+;;
+
+{ .mfi
+      ldfe       log_C5 = [log_table_address2],16
+      nop.f      0
+      nop.i      0
+}
+;;
+
+{ .mfi
+      ldfe       log_C3 = [log_table_address2],16
+      nop.f      0
+      nop.i      0
+}
+;;
+
+{ .mfi
+      nop.m      0
+      fma.s1     asinh_w_13 = log_C13,asinh_w_sq,log_C11
+      nop.i      0
+}
+{ .mfi
+      nop.m      0
+      fma.s1     asinh_w_9 = log_C9,asinh_w_sq,log_C7
+      nop.i      0
+}
+;;
+
+{ .mfi
+      nop.m      0
+      fma.s1     asinh_w_3 = log_C5,asinh_w_sq,log_C3
+      nop.i      0
+}
+{ .mfi
+      nop.m      0
+      fma.s1     asinh_w_seven = asinh_w_four,asinh_w_cube,f0
+      nop.i      0
+}
+;;
+
+{ .mfi
+      nop.m      0
+      fma.s1     asinh_w_7 = asinh_w_13,asinh_w_four,asinh_w_9
+      nop.i      0
+}
+{ .mfi
+      nop.m      0
+      fma.s1     asinh_w_5 = asinh_w_3,asinh_w_cube,fNormX
+      nop.i      0
+}
+;;
+
+{ .mfb
+      nop.m      0
+      fma.d.s0   f8 = asinh_w_7,asinh_w_seven,asinh_w_5
+      br.ret.sptk b0                   // Exit path 2 (0.0 <|x| < 2^(-3))
+}
+;;
+
+ASINH_UNORM:
+// Here if x=unorm
+{ .mfi
+      getf.exp   asinh_GR_f8 = fNormX  // Recompute if x unorm
+      fclass.m   p0,p13 = fNormX, 0x0b // Test x denorm
+      nop.i      0
+}
+;;
+
+{ .mfb
+      nop.m      0
+      fcmp.eq.s0 p14,p0 = f8, f0       // Dummy to set denormal flag
+(p13) br.cond.sptk ASINH_COMMON        // Continue if x unorm and not denorm
+}
+;;
+
+.pred.rel "mutex",p7,p11
+{ .mfi
+      nop.m      0
+(p7)  fma.d.s0   f8 = f8,f8,f8         // Result x+x^2 if x=-denorm
+      nop.i      0
+}
+{ .mfb
+      nop.m      0
+(p11) fnma.d.s0  f8 = f8,f8,f8         // Result x-x^2 if x=+denorm
+      br.ret.spnt b0                   // Exit if denorm
+}
+;;
+
+GLOBAL_LIBM_END(asinh)
diff --git a/sysdeps/ia64/fpu/s_asinhf.S b/sysdeps/ia64/fpu/s_asinhf.S
new file mode 100644
index 0000000000..df616deae0
--- /dev/null
+++ b/sysdeps/ia64/fpu/s_asinhf.S
@@ -0,0 +1,937 @@
+.file "asinhf.s"
+
+
+// Copyright (c) 2000 - 2003, Intel Corporation
+// All rights reserved.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
+//
+// Redistribution and use in source and binary forms, with or without
+// modification, are permitted provided that the following conditions are
+// met:
+//
+// * Redistributions of source code must retain the above copyright
+// notice, this list of conditions and the following disclaimer.
+//
+// * Redistributions in binary form must reproduce the above copyright
+// notice, this list of conditions and the following disclaimer in the
+// documentation and/or other materials provided with the distribution.
+//
+// * The name of Intel Corporation may not be used to endorse or promote
+// products derived from this software without specific prior written
+// permission.
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
+// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
+// OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+//
+// Intel Corporation is the author of this code, and requests that all
+// problem reports or change requests be submitted to it directly at
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
+//
+// ==============================================================
+// History
+// ==============================================================
+// 04/02/01 Initial version
+// 04/19/01 Improved speed of the paths #1,2,3,4,5
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 02/06/03 Reordered header: .section, .global, .proc, .align
+// 05/21/03 Improved performance, fixed to handle unorms
+//
+// API
+// ==============================================================
+// float asinhf(float)
+//
+// Overview of operation
+// ==============================================================
+//
+// There are 7 paths:
+// 1. x = 0.0
+//    Return asinhf(x) = 0.0
+// 2. 0.0 <|x| < 2^(-5)
+//    Return asinhf(x) = Pol5(x), where Pol5(x) = ((x^2)*C1 + C0)*x^3 + x
+
+// 3. 2^(-5) <= |x| < 2^51
+//    Return asinhf(x) = sign(x)*(log(|x| + sqrt(x^2 + 1.0)))
+//    To compute x + sqrt(x^2 + 1.0) modified Newton Raphson method is used
+//    (2 iterations)
+//    Algorithm description for log function see below.
+//
+// 4. 2^51 <= |x| < +INF
+//    Return asinhf(x) = sign(x)*log(2*|x|)
+//    Algorithm description for log function see below.
+//
+// 5. x = INF
+//    Return asinhf(x) = INF
+//
+// 6. x = [S,Q]NaN
+//    Return asinhf(x) = QNaN
+//
+// 7. x = denormal
+//    Return asinhf(x) = x
+//
+//==============================================================
+// Algorithm Description for log(x) function
+// Below we are using the fact that inequality x - 1.0 > 2^(-6) is always
+// true for this asinh implementation
+//
+// Consider  x = 2^N 1.f1 f2 f3 f4...f63
+// Log(x) = log(frcpa(x) x/frcpa(x))
+//        = log(1/frcpa(x)) + log(frcpa(x) x)
+//        = -log(frcpa(x)) + log(frcpa(x) x)
+//
+// frcpa(x)       = 2^-N frcpa((1.f1 f2 ... f63)
+//
+// -log(frcpa(x)) = -log(C)
+//                = -log(2^-N) - log(frcpa(1.f1 f2 ... f63))
+//
+// -log(frcpa(x)) = -log(C)
+//                = +Nlog2 - log(frcpa(1.f1 f2 ... f63))
+//
+// -log(frcpa(x)) = -log(C)
+//                = +Nlog2 + log(frcpa(1.f1 f2 ... f63))
+//
+// Log(x) = log(1/frcpa(x)) + log(frcpa(x) x)
+//
+// Log(x) =  +Nlog2 + log(1./frcpa(1.f1 f2 ... f63)) + log(frcpa(x) x)
+// Log(x) =  +Nlog2 - log(/frcpa(1.f1 f2 ... f63))   + log(frcpa(x) x)
+// Log(x) =  +Nlog2 + T                              + log(frcpa(x) x)
+//
+// Log(x) =  +Nlog2 + T                     + log(C x)
+//
+// Cx = 1 + r
+//
+// Log(x) =  +Nlog2 + T  + log(1+r)
+// Log(x) =  +Nlog2 + T  + Series( r - r^2/2 + r^3/3 - r^4/4 ....)
+//
+// 1.f1 f2 ... f8 has 256 entries.
+// They are 1 + k/2^8, k = 0 ... 255
+// These 256 values are the table entries.
+//
+// Implementation
+//==============================================================
+// C = frcpa(x)
+// r = C * x - 1
+//
+// Form rseries = r + P1*r^2 + P2*r^3 + P3*r^4
+//
+// x = f * 2*n where f is 1.f_1f_2f_3....f_63
+// Nfloat = float(n)  where n is the true unbiased exponent
+// pre-index = f_1f_2....f_8
+// index = pre_index * 8
+// get the dxt table entry at index + offset = T
+//
+// result = (T + Nfloat * log(2)) + rseries
+//
+// The T table is calculated as follows
+// Form x_k = 1 + k/2^8 where k goes from 0... 255
+//      y_k = frcpa(x_k)
+//      log(1/y_k)  in quad and round to double-extended
+//
+//
+// Registers used
+//==============================================================
+// Floating Point registers used:
+// f8, input
+// f9 -> f15,  f32 -> f55
+
+// General registers used:
+// r14 -> r27
+
+// Predicate registers used:
+// p6 -> p14
+
+// p6 to filter out case when x = [Q,S]NaN or INF or zero
+// p7 to filter out case when x < 0.0
+// p8 to select path #2
+
+// p11 to filter out case when x >= 0
+// p12 to filter out case when x = + denormal
+// p13 to select path #4
+// p14 to filtef out case when x = - denormal
+// Assembly macros
+//==============================================================
+log_GR_exp_17_ones    = r14
+log_GR_signexp_f8     = r15
+log_table_address2    = r16
+log_GR_exp_16_ones    = r17
+log_GR_exp_f8         = r18
+log_GR_true_exp_f8    = r19
+log_GR_significand_f8 = r20
+log_GR_index          = r21
+log_GR_comp2          = r22
+asinh_GR_f8           = r23
+asinh_GR_comp         = r24
+asinh_GR_f8           = r25
+log_table_address3    = r26
+NR_table_address      = r27
+
+//==============================================================
+log_y            = f9
+NR1              = f10
+NR2              = f11
+log_y_rs         = f12
+log_y_rs_iter    = f13
+log_y_rs_iter1   = f14
+fNormX           = f15
+asinh_w_sq       = f32
+log_arg_early    = f33
+log_y_rs_iter2   = f34
+log_P3           = f35
+log_P2           = f36
+log_P1           = f37
+log2             = f38
+log_C0           = f39
+log_C1           = f40
+asinh_f8         = f41
+log_C            = f42
+log_arg          = f43
+asinh_w_cube     = f44
+log_int_Nfloat   = f45
+log_r            = f46
+log_rsq          = f47
+asinh_w_1        = f48
+log_rp_p32       = f49
+log_rcube        = f50
+log_rp_p10       = f51
+log_rp_p2        = f52
+log_Nfloat       = f53
+log_T            = f54
+log_T_plus_Nlog2 = f55
+
+// Data tables
+//==============================================================
+
+RODATA
+.align 16
+
+LOCAL_OBJECT_START(log_table_1)
+
+data8 0xbfd0001008f39d59 // p3
+data8 0x3fd5556073e0c45a // p2
+data8 0xbfdffffffffaea15 // p1
+data8 0x3fe62e42fefa39ef // log(2)
+LOCAL_OBJECT_END(log_table_1)
+
+LOCAL_OBJECT_START(log_table_2)
+data8 0x3FE0000000000000 // 0.5
+data8 0x4008000000000000 // 3.0
+data8 0x9979C79685A5EB16, 0x00003FFB // C1 3FFB9979C79685A5EB16
+data8 0xAAAAA96F80786D62, 0x0000BFFC // C0 BFFCAAAAA96F80786D62
+LOCAL_OBJECT_END(log_table_2)
+
+LOCAL_OBJECT_START(log_table_3)
+data8 0x3F60040155D5889E    //log(1/frcpa(1+   0/256)
+data8 0x3F78121214586B54    //log(1/frcpa(1+   1/256)
+data8 0x3F841929F96832F0    //log(1/frcpa(1+   2/256)
+data8 0x3F8C317384C75F06    //log(1/frcpa(1+   3/256)
+data8 0x3F91A6B91AC73386    //log(1/frcpa(1+   4/256)
+data8 0x3F95BA9A5D9AC039    //log(1/frcpa(1+   5/256)
+data8 0x3F99D2A8074325F4    //log(1/frcpa(1+   6/256)
+data8 0x3F9D6B2725979802    //log(1/frcpa(1+   7/256)
+data8 0x3FA0C58FA19DFAAA    //log(1/frcpa(1+   8/256)
+data8 0x3FA2954C78CBCE1B    //log(1/frcpa(1+   9/256)
+data8 0x3FA4A94D2DA96C56    //log(1/frcpa(1+  10/256)
+data8 0x3FA67C94F2D4BB58    //log(1/frcpa(1+  11/256)
+data8 0x3FA85188B630F068    //log(1/frcpa(1+  12/256)
+data8 0x3FAA6B8ABE73AF4C    //log(1/frcpa(1+  13/256)
+data8 0x3FAC441E06F72A9E    //log(1/frcpa(1+  14/256)
+data8 0x3FAE1E6713606D07    //log(1/frcpa(1+  15/256)
+data8 0x3FAFFA6911AB9301    //log(1/frcpa(1+  16/256)
+data8 0x3FB0EC139C5DA601    //log(1/frcpa(1+  17/256)
+data8 0x3FB1DBD2643D190B    //log(1/frcpa(1+  18/256)
+data8 0x3FB2CC7284FE5F1C    //log(1/frcpa(1+  19/256)
+data8 0x3FB3BDF5A7D1EE64    //log(1/frcpa(1+  20/256)
+data8 0x3FB4B05D7AA012E0    //log(1/frcpa(1+  21/256)
+data8 0x3FB580DB7CEB5702    //log(1/frcpa(1+  22/256)
+data8 0x3FB674F089365A7A    //log(1/frcpa(1+  23/256)
+data8 0x3FB769EF2C6B568D    //log(1/frcpa(1+  24/256)
+data8 0x3FB85FD927506A48    //log(1/frcpa(1+  25/256)
+data8 0x3FB9335E5D594989    //log(1/frcpa(1+  26/256)
+data8 0x3FBA2B0220C8E5F5    //log(1/frcpa(1+  27/256)
+data8 0x3FBB0004AC1A86AC    //log(1/frcpa(1+  28/256)
+data8 0x3FBBF968769FCA11    //log(1/frcpa(1+  29/256)
+data8 0x3FBCCFEDBFEE13A8    //log(1/frcpa(1+  30/256)
+data8 0x3FBDA727638446A2    //log(1/frcpa(1+  31/256)
+data8 0x3FBEA3257FE10F7A    //log(1/frcpa(1+  32/256)
+data8 0x3FBF7BE9FEDBFDE6    //log(1/frcpa(1+  33/256)
+data8 0x3FC02AB352FF25F4    //log(1/frcpa(1+  34/256)
+data8 0x3FC097CE579D204D    //log(1/frcpa(1+  35/256)
+data8 0x3FC1178E8227E47C    //log(1/frcpa(1+  36/256)
+data8 0x3FC185747DBECF34    //log(1/frcpa(1+  37/256)
+data8 0x3FC1F3B925F25D41    //log(1/frcpa(1+  38/256)
+data8 0x3FC2625D1E6DDF57    //log(1/frcpa(1+  39/256)
+data8 0x3FC2D1610C86813A    //log(1/frcpa(1+  40/256)
+data8 0x3FC340C59741142E    //log(1/frcpa(1+  41/256)
+data8 0x3FC3B08B6757F2A9    //log(1/frcpa(1+  42/256)
+data8 0x3FC40DFB08378003    //log(1/frcpa(1+  43/256)
+data8 0x3FC47E74E8CA5F7C    //log(1/frcpa(1+  44/256)
+data8 0x3FC4EF51F6466DE4    //log(1/frcpa(1+  45/256)
+data8 0x3FC56092E02BA516    //log(1/frcpa(1+  46/256)
+data8 0x3FC5D23857CD74D5    //log(1/frcpa(1+  47/256)
+data8 0x3FC6313A37335D76    //log(1/frcpa(1+  48/256)
+data8 0x3FC6A399DABBD383    //log(1/frcpa(1+  49/256)
+data8 0x3FC70337DD3CE41B    //log(1/frcpa(1+  50/256)
+data8 0x3FC77654128F6127    //log(1/frcpa(1+  51/256)
+data8 0x3FC7E9D82A0B022D    //log(1/frcpa(1+  52/256)
+data8 0x3FC84A6B759F512F    //log(1/frcpa(1+  53/256)
+data8 0x3FC8AB47D5F5A310    //log(1/frcpa(1+  54/256)
+data8 0x3FC91FE49096581B    //log(1/frcpa(1+  55/256)
+data8 0x3FC981634011AA75    //log(1/frcpa(1+  56/256)
+data8 0x3FC9F6C407089664    //log(1/frcpa(1+  57/256)
+data8 0x3FCA58E729348F43    //log(1/frcpa(1+  58/256)
+data8 0x3FCABB55C31693AD    //log(1/frcpa(1+  59/256)
+data8 0x3FCB1E104919EFD0    //log(1/frcpa(1+  60/256)
+data8 0x3FCB94EE93E367CB    //log(1/frcpa(1+  61/256)
+data8 0x3FCBF851C067555F    //log(1/frcpa(1+  62/256)
+data8 0x3FCC5C0254BF23A6    //log(1/frcpa(1+  63/256)
+data8 0x3FCCC000C9DB3C52    //log(1/frcpa(1+  64/256)
+data8 0x3FCD244D99C85674    //log(1/frcpa(1+  65/256)
+data8 0x3FCD88E93FB2F450    //log(1/frcpa(1+  66/256)
+data8 0x3FCDEDD437EAEF01    //log(1/frcpa(1+  67/256)
+data8 0x3FCE530EFFE71012    //log(1/frcpa(1+  68/256)
+data8 0x3FCEB89A1648B971    //log(1/frcpa(1+  69/256)
+data8 0x3FCF1E75FADF9BDE    //log(1/frcpa(1+  70/256)
+data8 0x3FCF84A32EAD7C35    //log(1/frcpa(1+  71/256)
+data8 0x3FCFEB2233EA07CD    //log(1/frcpa(1+  72/256)
+data8 0x3FD028F9C7035C1C    //log(1/frcpa(1+  73/256)
+data8 0x3FD05C8BE0D9635A    //log(1/frcpa(1+  74/256)
+data8 0x3FD085EB8F8AE797    //log(1/frcpa(1+  75/256)
+data8 0x3FD0B9C8E32D1911    //log(1/frcpa(1+  76/256)
+data8 0x3FD0EDD060B78081    //log(1/frcpa(1+  77/256)
+data8 0x3FD122024CF0063F    //log(1/frcpa(1+  78/256)
+data8 0x3FD14BE2927AECD4    //log(1/frcpa(1+  79/256)
+data8 0x3FD180618EF18ADF    //log(1/frcpa(1+  80/256)
+data8 0x3FD1B50BBE2FC63B    //log(1/frcpa(1+  81/256)
+data8 0x3FD1DF4CC7CF242D    //log(1/frcpa(1+  82/256)
+data8 0x3FD214456D0EB8D4    //log(1/frcpa(1+  83/256)
+data8 0x3FD23EC5991EBA49    //log(1/frcpa(1+  84/256)
+data8 0x3FD2740D9F870AFB    //log(1/frcpa(1+  85/256)
+data8 0x3FD29ECDABCDFA04    //log(1/frcpa(1+  86/256)
+data8 0x3FD2D46602ADCCEE    //log(1/frcpa(1+  87/256)
+data8 0x3FD2FF66B04EA9D4    //log(1/frcpa(1+  88/256)
+data8 0x3FD335504B355A37    //log(1/frcpa(1+  89/256)
+data8 0x3FD360925EC44F5D    //log(1/frcpa(1+  90/256)
+data8 0x3FD38BF1C3337E75    //log(1/frcpa(1+  91/256)
+data8 0x3FD3C25277333184    //log(1/frcpa(1+  92/256)
+data8 0x3FD3EDF463C1683E    //log(1/frcpa(1+  93/256)
+data8 0x3FD419B423D5E8C7    //log(1/frcpa(1+  94/256)
+data8 0x3FD44591E0539F49    //log(1/frcpa(1+  95/256)
+data8 0x3FD47C9175B6F0AD    //log(1/frcpa(1+  96/256)
+data8 0x3FD4A8B341552B09    //log(1/frcpa(1+  97/256)
+data8 0x3FD4D4F3908901A0    //log(1/frcpa(1+  98/256)
+data8 0x3FD501528DA1F968    //log(1/frcpa(1+  99/256)
+data8 0x3FD52DD06347D4F6    //log(1/frcpa(1+ 100/256)
+data8 0x3FD55A6D3C7B8A8A    //log(1/frcpa(1+ 101/256)
+data8 0x3FD5925D2B112A59    //log(1/frcpa(1+ 102/256)
+data8 0x3FD5BF406B543DB2    //log(1/frcpa(1+ 103/256)
+data8 0x3FD5EC433D5C35AE    //log(1/frcpa(1+ 104/256)
+data8 0x3FD61965CDB02C1F    //log(1/frcpa(1+ 105/256)
+data8 0x3FD646A84935B2A2    //log(1/frcpa(1+ 106/256)
+data8 0x3FD6740ADD31DE94    //log(1/frcpa(1+ 107/256)
+data8 0x3FD6A18DB74A58C5    //log(1/frcpa(1+ 108/256)
+data8 0x3FD6CF31058670EC    //log(1/frcpa(1+ 109/256)
+data8 0x3FD6F180E852F0BA    //log(1/frcpa(1+ 110/256)
+data8 0x3FD71F5D71B894F0    //log(1/frcpa(1+ 111/256)
+data8 0x3FD74D5AEFD66D5C    //log(1/frcpa(1+ 112/256)
+data8 0x3FD77B79922BD37E    //log(1/frcpa(1+ 113/256)
+data8 0x3FD7A9B9889F19E2    //log(1/frcpa(1+ 114/256)
+data8 0x3FD7D81B037EB6A6    //log(1/frcpa(1+ 115/256)
+data8 0x3FD8069E33827231    //log(1/frcpa(1+ 116/256)
+data8 0x3FD82996D3EF8BCB    //log(1/frcpa(1+ 117/256)
+data8 0x3FD85855776DCBFB    //log(1/frcpa(1+ 118/256)
+data8 0x3FD8873658327CCF    //log(1/frcpa(1+ 119/256)
+data8 0x3FD8AA75973AB8CF    //log(1/frcpa(1+ 120/256)
+data8 0x3FD8D992DC8824E5    //log(1/frcpa(1+ 121/256)
+data8 0x3FD908D2EA7D9512    //log(1/frcpa(1+ 122/256)
+data8 0x3FD92C59E79C0E56    //log(1/frcpa(1+ 123/256)
+data8 0x3FD95BD750EE3ED3    //log(1/frcpa(1+ 124/256)
+data8 0x3FD98B7811A3EE5B    //log(1/frcpa(1+ 125/256)
+data8 0x3FD9AF47F33D406C    //log(1/frcpa(1+ 126/256)
+data8 0x3FD9DF270C1914A8    //log(1/frcpa(1+ 127/256)
+data8 0x3FDA0325ED14FDA4    //log(1/frcpa(1+ 128/256)
+data8 0x3FDA33440224FA79    //log(1/frcpa(1+ 129/256)
+data8 0x3FDA57725E80C383    //log(1/frcpa(1+ 130/256)
+data8 0x3FDA87D0165DD199    //log(1/frcpa(1+ 131/256)
+data8 0x3FDAAC2E6C03F896    //log(1/frcpa(1+ 132/256)
+data8 0x3FDADCCC6FDF6A81    //log(1/frcpa(1+ 133/256)
+data8 0x3FDB015B3EB1E790    //log(1/frcpa(1+ 134/256)
+data8 0x3FDB323A3A635948    //log(1/frcpa(1+ 135/256)
+data8 0x3FDB56FA04462909    //log(1/frcpa(1+ 136/256)
+data8 0x3FDB881AA659BC93    //log(1/frcpa(1+ 137/256)
+data8 0x3FDBAD0BEF3DB165    //log(1/frcpa(1+ 138/256)
+data8 0x3FDBD21297781C2F    //log(1/frcpa(1+ 139/256)
+data8 0x3FDC039236F08819    //log(1/frcpa(1+ 140/256)
+data8 0x3FDC28CB1E4D32FD    //log(1/frcpa(1+ 141/256)
+data8 0x3FDC4E19B84723C2    //log(1/frcpa(1+ 142/256)
+data8 0x3FDC7FF9C74554C9    //log(1/frcpa(1+ 143/256)
+data8 0x3FDCA57B64E9DB05    //log(1/frcpa(1+ 144/256)
+data8 0x3FDCCB130A5CEBB0    //log(1/frcpa(1+ 145/256)
+data8 0x3FDCF0C0D18F326F    //log(1/frcpa(1+ 146/256)
+data8 0x3FDD232075B5A201    //log(1/frcpa(1+ 147/256)
+data8 0x3FDD490246DEFA6B    //log(1/frcpa(1+ 148/256)
+data8 0x3FDD6EFA918D25CD    //log(1/frcpa(1+ 149/256)
+data8 0x3FDD9509707AE52F    //log(1/frcpa(1+ 150/256)
+data8 0x3FDDBB2EFE92C554    //log(1/frcpa(1+ 151/256)
+data8 0x3FDDEE2F3445E4AF    //log(1/frcpa(1+ 152/256)
+data8 0x3FDE148A1A2726CE    //log(1/frcpa(1+ 153/256)
+data8 0x3FDE3AFC0A49FF40    //log(1/frcpa(1+ 154/256)
+data8 0x3FDE6185206D516E    //log(1/frcpa(1+ 155/256)
+data8 0x3FDE882578823D52    //log(1/frcpa(1+ 156/256)
+data8 0x3FDEAEDD2EAC990C    //log(1/frcpa(1+ 157/256)
+data8 0x3FDED5AC5F436BE3    //log(1/frcpa(1+ 158/256)
+data8 0x3FDEFC9326D16AB9    //log(1/frcpa(1+ 159/256)
+data8 0x3FDF2391A2157600    //log(1/frcpa(1+ 160/256)
+data8 0x3FDF4AA7EE03192D    //log(1/frcpa(1+ 161/256)
+data8 0x3FDF71D627C30BB0    //log(1/frcpa(1+ 162/256)
+data8 0x3FDF991C6CB3B379    //log(1/frcpa(1+ 163/256)
+data8 0x3FDFC07ADA69A910    //log(1/frcpa(1+ 164/256)
+data8 0x3FDFE7F18EB03D3E    //log(1/frcpa(1+ 165/256)
+data8 0x3FE007C053C5002E    //log(1/frcpa(1+ 166/256)
+data8 0x3FE01B942198A5A1    //log(1/frcpa(1+ 167/256)
+data8 0x3FE02F74400C64EB    //log(1/frcpa(1+ 168/256)
+data8 0x3FE04360BE7603AD    //log(1/frcpa(1+ 169/256)
+data8 0x3FE05759AC47FE34    //log(1/frcpa(1+ 170/256)
+data8 0x3FE06B5F1911CF52    //log(1/frcpa(1+ 171/256)
+data8 0x3FE078BF0533C568    //log(1/frcpa(1+ 172/256)
+data8 0x3FE08CD9687E7B0E    //log(1/frcpa(1+ 173/256)
+data8 0x3FE0A10074CF9019    //log(1/frcpa(1+ 174/256)
+data8 0x3FE0B5343A234477    //log(1/frcpa(1+ 175/256)
+data8 0x3FE0C974C89431CE    //log(1/frcpa(1+ 176/256)
+data8 0x3FE0DDC2305B9886    //log(1/frcpa(1+ 177/256)
+data8 0x3FE0EB524BAFC918    //log(1/frcpa(1+ 178/256)
+data8 0x3FE0FFB54213A476    //log(1/frcpa(1+ 179/256)
+data8 0x3FE114253DA97D9F    //log(1/frcpa(1+ 180/256)
+data8 0x3FE128A24F1D9AFF    //log(1/frcpa(1+ 181/256)
+data8 0x3FE1365252BF0865    //log(1/frcpa(1+ 182/256)
+data8 0x3FE14AE558B4A92D    //log(1/frcpa(1+ 183/256)
+data8 0x3FE15F85A19C765B    //log(1/frcpa(1+ 184/256)
+data8 0x3FE16D4D38C119FA    //log(1/frcpa(1+ 185/256)
+data8 0x3FE18203C20DD133    //log(1/frcpa(1+ 186/256)
+data8 0x3FE196C7BC4B1F3B    //log(1/frcpa(1+ 187/256)
+data8 0x3FE1A4A738B7A33C    //log(1/frcpa(1+ 188/256)
+data8 0x3FE1B981C0C9653D    //log(1/frcpa(1+ 189/256)
+data8 0x3FE1CE69E8BB106B    //log(1/frcpa(1+ 190/256)
+data8 0x3FE1DC619DE06944    //log(1/frcpa(1+ 191/256)
+data8 0x3FE1F160A2AD0DA4    //log(1/frcpa(1+ 192/256)
+data8 0x3FE2066D7740737E    //log(1/frcpa(1+ 193/256)
+data8 0x3FE2147DBA47A394    //log(1/frcpa(1+ 194/256)
+data8 0x3FE229A1BC5EBAC3    //log(1/frcpa(1+ 195/256)
+data8 0x3FE237C1841A502E    //log(1/frcpa(1+ 196/256)
+data8 0x3FE24CFCE6F80D9A    //log(1/frcpa(1+ 197/256)
+data8 0x3FE25B2C55CD5762    //log(1/frcpa(1+ 198/256)
+data8 0x3FE2707F4D5F7C41    //log(1/frcpa(1+ 199/256)
+data8 0x3FE285E0842CA384    //log(1/frcpa(1+ 200/256)
+data8 0x3FE294294708B773    //log(1/frcpa(1+ 201/256)
+data8 0x3FE2A9A2670AFF0C    //log(1/frcpa(1+ 202/256)
+data8 0x3FE2B7FB2C8D1CC1    //log(1/frcpa(1+ 203/256)
+data8 0x3FE2C65A6395F5F5    //log(1/frcpa(1+ 204/256)
+data8 0x3FE2DBF557B0DF43    //log(1/frcpa(1+ 205/256)
+data8 0x3FE2EA64C3F97655    //log(1/frcpa(1+ 206/256)
+data8 0x3FE3001823684D73    //log(1/frcpa(1+ 207/256)
+data8 0x3FE30E97E9A8B5CD    //log(1/frcpa(1+ 208/256)
+data8 0x3FE32463EBDD34EA    //log(1/frcpa(1+ 209/256)
+data8 0x3FE332F4314AD796    //log(1/frcpa(1+ 210/256)
+data8 0x3FE348D90E7464D0    //log(1/frcpa(1+ 211/256)
+data8 0x3FE35779F8C43D6E    //log(1/frcpa(1+ 212/256)
+data8 0x3FE36621961A6A99    //log(1/frcpa(1+ 213/256)
+data8 0x3FE37C299F3C366A    //log(1/frcpa(1+ 214/256)
+data8 0x3FE38AE2171976E7    //log(1/frcpa(1+ 215/256)
+data8 0x3FE399A157A603E7    //log(1/frcpa(1+ 216/256)
+data8 0x3FE3AFCCFE77B9D1    //log(1/frcpa(1+ 217/256)
+data8 0x3FE3BE9D503533B5    //log(1/frcpa(1+ 218/256)
+data8 0x3FE3CD7480B4A8A3    //log(1/frcpa(1+ 219/256)
+data8 0x3FE3E3C43918F76C    //log(1/frcpa(1+ 220/256)
+data8 0x3FE3F2ACB27ED6C7    //log(1/frcpa(1+ 221/256)
+data8 0x3FE4019C2125CA93    //log(1/frcpa(1+ 222/256)
+data8 0x3FE4181061389722    //log(1/frcpa(1+ 223/256)
+data8 0x3FE42711518DF545    //log(1/frcpa(1+ 224/256)
+data8 0x3FE436194E12B6BF    //log(1/frcpa(1+ 225/256)
+data8 0x3FE445285D68EA69    //log(1/frcpa(1+ 226/256)
+data8 0x3FE45BCC464C893A    //log(1/frcpa(1+ 227/256)
+data8 0x3FE46AED21F117FC    //log(1/frcpa(1+ 228/256)
+data8 0x3FE47A1527E8A2D3    //log(1/frcpa(1+ 229/256)
+data8 0x3FE489445EFFFCCC    //log(1/frcpa(1+ 230/256)
+data8 0x3FE4A018BCB69835    //log(1/frcpa(1+ 231/256)
+data8 0x3FE4AF5A0C9D65D7    //log(1/frcpa(1+ 232/256)
+data8 0x3FE4BEA2A5BDBE87    //log(1/frcpa(1+ 233/256)
+data8 0x3FE4CDF28F10AC46    //log(1/frcpa(1+ 234/256)
+data8 0x3FE4DD49CF994058    //log(1/frcpa(1+ 235/256)
+data8 0x3FE4ECA86E64A684    //log(1/frcpa(1+ 236/256)
+data8 0x3FE503C43CD8EB68    //log(1/frcpa(1+ 237/256)
+data8 0x3FE513356667FC57    //log(1/frcpa(1+ 238/256)
+data8 0x3FE522AE0738A3D8    //log(1/frcpa(1+ 239/256)
+data8 0x3FE5322E26867857    //log(1/frcpa(1+ 240/256)
+data8 0x3FE541B5CB979809    //log(1/frcpa(1+ 241/256)
+data8 0x3FE55144FDBCBD62    //log(1/frcpa(1+ 242/256)
+data8 0x3FE560DBC45153C7    //log(1/frcpa(1+ 243/256)
+data8 0x3FE5707A26BB8C66    //log(1/frcpa(1+ 244/256)
+data8 0x3FE587F60ED5B900    //log(1/frcpa(1+ 245/256)
+data8 0x3FE597A7977C8F31    //log(1/frcpa(1+ 246/256)
+data8 0x3FE5A760D634BB8B    //log(1/frcpa(1+ 247/256)
+data8 0x3FE5B721D295F10F    //log(1/frcpa(1+ 248/256)
+data8 0x3FE5C6EA94431EF9    //log(1/frcpa(1+ 249/256)
+data8 0x3FE5D6BB22EA86F6    //log(1/frcpa(1+ 250/256)
+data8 0x3FE5E6938645D390    //log(1/frcpa(1+ 251/256)
+data8 0x3FE5F673C61A2ED2    //log(1/frcpa(1+ 252/256)
+data8 0x3FE6065BEA385926    //log(1/frcpa(1+ 253/256)
+data8 0x3FE6164BFA7CC06B    //log(1/frcpa(1+ 254/256)
+data8 0x3FE62643FECF9743    //log(1/frcpa(1+ 255/256)
+LOCAL_OBJECT_END(log_table_3)
+
+
+.section .text
+GLOBAL_LIBM_ENTRY(asinhf)
+
+{ .mfi
+      getf.exp   asinh_GR_f8 = f8        // Must recompute later if x unorm
+      fclass.m   p12,p0 = f8, 0x0b       // Test x unorm
+      mov        log_GR_exp_17_ones = 0x1ffff
+}
+{ .mfi
+      addl       NR_table_address = @ltoff(log_table_1), gp
+      fma.s1     log_y = f8, f8, f1      // y = x^2 + 1
+      mov        asinh_GR_comp = 0xfffa
+}
+;;
+
+{ .mfi
+      mov        log_GR_exp_16_ones = 0xffff //BIAS
+      fclass.m   p6,p0 = f8, 0xe7        // Test for x = NaN and inf and zero
+      mov        log_GR_comp2 = 0x10032
+}
+{ .mfi
+      ld8        NR_table_address = [NR_table_address]
+      fma.s1     asinh_w_sq = f8,f8,f0   // x^2
+      nop.i      0
+}
+;;
+
+{ .mfi
+      nop.m      0
+      fcmp.lt.s1 p7,p11 = f8,f0          // if x<0
+      nop.i      0
+}
+{ .mfb
+      nop.m      0
+      fnorm.s1   fNormX = f8             // Normalize x
+(p12) br.cond.spnt ASINH_UNORM           // Branch if x=unorm
+}
+;;
+
+ASINH_COMMON:
+// Return here if x=unorm and not denorm
+{ .mfi
+      //to get second table address
+      adds       log_table_address2 = 0x20, NR_table_address
+      fma.s1     log_arg = f8,f1,f8
+}
+{ .mfb
+      nop.m      0
+(p6)  fma.s.s0   f8 = f8,f1,f8           // quietize nan result if x=nan
+(p6)  br.ret.spnt b0                     // Exit for x=nan and inf and zero
+}
+;;
+
+{ .mfi
+      ldfpd      NR1,NR2 = [log_table_address2],16
+      frsqrta.s1 log_y_rs,p0 = log_y     // z=1/sqrt(y)
+      nop.i      0
+}
+;;
+
+{ .mfi
+      ldfe       log_C1 = [log_table_address2],16
+      nop.f      0
+      and        asinh_GR_f8 = asinh_GR_f8,log_GR_exp_17_ones
+}
+;;
+
+{ .mib
+      ldfe       log_C0 = [log_table_address2],16
+      cmp.le     p13,p0 = log_GR_comp2,asinh_GR_f8
+(p13) br.cond.spnt LOG_COMMON1           // Branch if path 4: |x| >= 2^51
+}
+;;
+
+{ .mfi
+      nop.m      0
+      fma.s1     log_y_rs_iter = log_y_rs,log_y,f0  // y*z
+      nop.i      0
+}
+;;
+
+.pred.rel "mutex",p7,p11
+{ .mfi
+      nop.m      0
+(p11) mov        asinh_f8 = fNormX
+      nop.i      0
+}
+{ .mfb
+      cmp.gt     p8,p0 = asinh_GR_comp,asinh_GR_f8
+(p7)  fnma.s1    asinh_f8 = fNormX,f1,f0
+(p8)  br.cond.spnt ASINH_NEAR_ZERO       // Branch if path 2: 0 < |x| < 2^-5
+}
+;;
+
+// Here if main path, 2^-5 <= |x| < 2^51
+///////////////////////////////// The first iteration /////////////////////////
+{ .mfi
+      ldfpd      log_P3,log_P2 = [NR_table_address],16
+      fnma.s1    log_y_rs_iter2 = log_y_rs_iter,log_y_rs,NR2    // 3-(y*z)*z
+      nop.i      0
+}
+{ .mfi
+      nop.m      0
+      fma.s1     log_y_rs_iter1 = log_y_rs,NR1,f0               // 0.5*z
+      nop.i      0
+}
+;;
+
+{ .mfi
+      ldfpd      log_P1,log2 = [NR_table_address],16
+      // (0.5*z)*(3-(y*z)*z)
+      fma.s1     log_y_rs_iter = log_y_rs_iter1,log_y_rs_iter2,f0
+      nop.i      0
+}
+{ .mfi
+      nop.m      0
+      // (0.5*z)*(3-(y*z)*z)
+      fma.s1     log_arg_early = log_y_rs_iter1,log_y_rs_iter2,f0
+      nop.i      0
+}
+;;
+
+////////////////////////////////// The second iteration ////////////////////////
+{ .mfi
+      nop.m      0
+      fma.s1     log_y_rs = log_y_rs_iter,log_y,f0
+      nop.i      0
+}
+{ .mfi
+      nop.m      0
+      fma.s1     log_y_rs_iter1 = log_y_rs_iter,NR1,f0
+      nop.i      0
+}
+;;
+
+{ .mfi
+      nop.m      0
+      fma.s1     log_arg_early = log_arg_early,log_y,asinh_f8
+      nop.i      0
+}
+;;
+
+{ .mfi
+      nop.m      0
+      fnma.s1    log_y_rs = log_y_rs,log_y_rs_iter,NR2
+      nop.i      0
+}
+{ .mfi
+      nop.m      0
+      fma.s1     log_y_rs_iter1 = log_y_rs_iter1,log_y,f0
+      nop.i      0
+}
+;;
+
+{ .mfi
+      nop.m      0
+      frcpa.s1   log_C,p0 = f1,log_arg_early
+      nop.i      0
+}
+;;
+
+{ .mfi
+      getf.exp   log_GR_signexp_f8 = log_arg_early
+      nop.f      0
+      nop.i      0
+}
+;;
+
+{ .mfi
+      getf.sig   log_GR_significand_f8 = log_arg_early
+      // (0.5*z)*(3-(y*z)*z)*y + |x|
+      fma.s1     log_arg = log_y_rs_iter1,log_y_rs,asinh_f8
+      //to get third table address
+      adds       log_table_address3 = 0x30, NR_table_address
+}
+;;
+
+/////////////////////////////////////////// The end NR iterations /////////////
+
+{ .mfi
+      nop.m      0
+      nop.f      0
+      //significant bit destruction
+      and        log_GR_exp_f8 = log_GR_signexp_f8, log_GR_exp_17_ones
+}
+;;
+
+{ .mfi
+      //BIAS subtraction
+      sub        log_GR_true_exp_f8 = log_GR_exp_f8, log_GR_exp_16_ones
+(p7)  fnma.s1    log2 = log2,f1,f0
+      nop.i      0
+}
+;;
+
+{ .mfi
+      setf.sig   log_int_Nfloat = log_GR_true_exp_f8
+      fms.s1     log_r = log_C,log_arg,f1  //C = frcpa(x); r = C * x - 1
+      extr.u     log_GR_index = log_GR_significand_f8,55,8 //Extract 8 bits
+}
+;;
+
+{ .mmi
+      //pre-index*16 + index
+      shladd     log_table_address3 = log_GR_index,3,log_table_address3
+;;
+      ldfd       log_T = [log_table_address3]
+      nop.i      0
+}
+;;
+
+{ .mfi
+      nop.m      0
+      fma.s1     log_rsq = log_r, log_r, f0          //r^2
+      nop.i      0
+}
+{ .mfi
+      nop.m      0
+      fma.s1     log_rp_p32 = log_P3, log_r, log_P2  //P3*r + P2
+      nop.i      0
+}
+;;
+
+{ .mfi
+      nop.m      0
+      fma.s1     log_rp_p10 = log_P1, log_r, f1
+      nop.i      0
+}
+;;
+
+{ .mfi
+      nop.m      0
+      //convert N to the floating-point format
+      fcvt.xf    log_Nfloat = log_int_Nfloat
+      nop.i      0
+}
+;;
+
+{ .mfi
+      nop.m      0
+      fma.s1     log_rp_p2 = log_rp_p32, log_rsq, log_rp_p10
+      nop.i      0
+}
+;;
+
+.pred.rel "mutex",p7,p11
+{ .mfi
+      nop.m      0
+(p11) fma.s1     log_T_plus_Nlog2 = log_Nfloat,log2,log_T  //N*log2 + T if x>0
+      nop.i      0
+}
+{ .mfi
+      nop.m      0
+(p7)  fms.s1     log_T_plus_Nlog2 = log_Nfloat,log2,log_T  //N*log2 - T if x<0
+      nop.i      0
+}
+;;
+
+{ .mfi
+      nop.m      0
+(p11) fma.s.s0   f8 = log_rp_p2,log_r,log_T_plus_Nlog2
+      nop.i      0
+}
+{ .mfb
+      nop.m      0
+(p7)  fnma.s.s0  f8 = log_rp_p2,log_r,log_T_plus_Nlog2
+      br.ret.sptk b0          // Exit main path, path 3: 2^-5 <= |x| < 2^51
+}
+;;
+
+
+// Here if path 4, |x| >= 2^51
+LOG_COMMON1:
+{ .mfi
+      ldfpd      log_P3,log_P2 = [NR_table_address],16
+      nop.f      0
+      nop.i      0
+}
+;;
+
+{ .mfi
+      ldfpd      log_P1,log2 = [NR_table_address],16
+      frcpa.s1   log_C,p0 = f1,log_arg
+      nop.i      0
+}
+;;
+
+{ .mfi
+      getf.exp   log_GR_signexp_f8 = log_arg
+      nop.f      0
+      //to get third table address
+      adds       log_table_address3 = 0x30, NR_table_address
+}
+;;
+
+{ .mfi
+      getf.sig   log_GR_significand_f8 = log_arg
+      nop.f      0
+      nop.i      0
+}
+;;
+
+{ .mfi
+      nop.m      0
+      nop.f      0
+      //to destroy the most bit in the significant area
+      and        log_GR_exp_f8 = log_GR_signexp_f8, log_GR_exp_17_ones
+}
+;;
+
+{ .mmf
+      nop.m      0
+      //BIAS subtraction
+      sub        log_GR_true_exp_f8 = log_GR_exp_f8, log_GR_exp_16_ones
+      fms.s1     log_r = log_C,log_arg,f1  //C = frcpa(x); r = C * x - 1
+}
+;;
+
+{ .mfi
+      setf.sig   log_int_Nfloat = log_GR_true_exp_f8
+      nop.f      0
+      extr.u     log_GR_index = log_GR_significand_f8,55,8 //Extract 8 bits
+}
+;;
+
+{ .mmi
+      //pre-index*16 + index
+      shladd     log_table_address3 = log_GR_index,3,log_table_address3
+;;
+      ldfd       log_T = [log_table_address3]
+      nop.i      0
+}
+;;
+
+{ .mfi
+      nop.m      0
+      fma.s1     log_rsq = log_r, log_r, f0          //r^2
+      nop.i      0
+}
+{ .mfi
+      nop.m      0
+      fma.s1     log_rp_p32 = log_P3, log_r, log_P2  //P3*r + P2
+      nop.i      0
+}
+;;
+
+{ .mfi
+      nop.m      0
+      fma.s1     log_rp_p10 = log_P1, log_r, f1
+      nop.i      0
+}
+{ .mfi
+      nop.m      0
+(p7)  fnma.s1    log2 = log2,f1,f0
+      nop.i      0
+}
+;;
+
+{ .mfi
+      nop.m      0
+      //convert N to the floating-point format
+      fcvt.xf    log_Nfloat = log_int_Nfloat
+      nop.i      0
+}
+{ .mfi
+      nop.m      0
+      fma.s1     log_rp_p2 = log_rp_p32, log_rsq, log_rp_p10
+      nop.i      0
+}
+;;
+
+.pred.rel "mutex",p7,p11
+{ .mfi
+      nop.m      0
+(p11) fma.s1     log_T_plus_Nlog2 = log_Nfloat,log2,log_T  //N*log2 + T if x>0
+      nop.i      0
+}
+{ .mfi
+      nop.m      0
+(p7)  fms.s1     log_T_plus_Nlog2 = log_Nfloat,log2,log_T  //N*log2 - T if x<0
+      nop.i      0
+}
+;;
+
+{ .mfi
+      nop.m      0
+(p11) fma.s.s0   f8 = log_rp_p2,log_r,log_T_plus_Nlog2
+      nop.i      0
+}
+{ .mfb
+      nop.m      0
+(p7)  fnma.s.s0  f8 = log_rp_p2,log_r,log_T_plus_Nlog2
+      br.ret.sptk b0           // Exit path 4, |x| >= 2^51
+}
+;;
+
+// Here if path 2, 0 < |x| < 2^-5
+ASINH_NEAR_ZERO:
+{ .mfi
+      nop.m      0
+      fma.s1     asinh_w_1 = asinh_w_sq,log_C1,log_C0
+      nop.i      0
+}
+{ .mfi
+      nop.m      0
+      fma.s1     asinh_w_cube = asinh_w_sq,fNormX,f0
+      nop.i      0
+}
+;;
+
+{ .mfb
+      nop.m      0
+      fma.s.s0   f8 = asinh_w_1,asinh_w_cube,fNormX
+      br.ret.sptk b0          // Exit path 2, 0 < |x| < 2^-5
+}
+;;
+
+ASINH_UNORM:
+// Here if x=unorm
+{ .mfi
+      getf.exp   asinh_GR_f8 = fNormX  // Recompute if x unorm
+      fclass.m   p0,p13 = fNormX, 0x0b // Test x denorm
+      nop.i      0
+}
+;;
+
+{ .mfb
+      nop.m      0
+      fcmp.eq.s0 p14,p0 = f8, f0       // Dummy to set denormal flag
+(p13) br.cond.sptk ASINH_COMMON        // Continue if x unorm and not denorm
+}
+;;
+
+.pred.rel "mutex",p7,p11
+{ .mfi
+      nop.m      0
+(p7)  fma.s.s0   f8 = f8,f8,f8         // Result x+x^2 if x=-denorm
+      nop.i      0
+}
+{ .mfb
+      nop.m      0
+(p11) fnma.s.s0  f8 = f8,f8,f8         // Result x-x^2 if x=+denorm
+      br.ret.spnt b0                   // Exit if denorm
+}
+;;
+
+GLOBAL_LIBM_END(asinhf)
diff --git a/sysdeps/ia64/fpu/s_asinhl.S b/sysdeps/ia64/fpu/s_asinhl.S
new file mode 100644
index 0000000000..fcb4e6e7e0
--- /dev/null
+++ b/sysdeps/ia64/fpu/s_asinhl.S
@@ -0,0 +1,1346 @@
+.file "asinhl.s"
+
+
+// Copyright (c) 2000 - 2003, Intel Corporation
+// All rights reserved.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
+//
+// Redistribution and use in source and binary forms, with or without
+// modification, are permitted provided that the following conditions are
+// met:
+//
+// * Redistributions of source code must retain the above copyright
+// notice, this list of conditions and the following disclaimer.
+//
+// * Redistributions in binary form must reproduce the above copyright
+// notice, this list of conditions and the following disclaimer in the
+// documentation and/or other materials provided with the distribution.
+//
+// * The name of Intel Corporation may not be used to endorse or promote
+// products derived from this software without specific prior written
+// permission.
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
+// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS 
+// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, 
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY 
+// OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 
+// 
+// Intel Corporation is the author of this code, and requests that all
+// problem reports or change requests be submitted to it directly at 
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
+//
+//*********************************************************************
+//
+// History: 
+// 09/04/01 Initial version
+// 09/13/01 Performance improved, symmetry problems fixed
+// 10/10/01 Performance improved, split issues removed
+// 12/11/01 Changed huges_logp to not be global
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 02/10/03 Reordered header: .section, .global, .proc, .align;
+//          used data8 for long double table values
+//
+//*********************************************************************
+//
+// API
+//==============================================================
+// long double asinhl(long double);
+//
+// Overview of operation
+//==============================================================
+// 
+// There are 6 paths:
+// 1. x = 0, [S,Q]Nan or +/-INF
+//    Return asinhl(x) = x + x;
+// 
+// 2. x = + denormal
+//    Return asinhl(x) = x - x^2;
+//            
+// 3. x = - denormal
+//    Return asinhl(x) = x + x^2;
+//            
+// 4. 'Near 0': max denormal < |x| < 1/128
+//    Return asinhl(x) = sign(x)*(x+x^3*(c3+x^2*(c5+x^2*(c7+x^2*(c9)))));
+//
+// 5. 'Huges': |x| > 2^63
+//    Return asinhl(x) = sign(x)*(logl(2*x));
+//                    
+// 6. 'Main path': 1/128 < |x| < 2^63
+//    b_hi + b_lo = x + sqrt(x^2 + 1);
+//    asinhl(x) = sign(x)*(log_special(b_hi, b_lo));
+//  
+// Algorithm description                                                      
+//==============================================================
+//
+// Main path algorithm 
+// ( thanks to Peter Markstein for the idea of sqrt(x^2+1) computation! )
+// *************************************************************************
+//
+// There are 3 parts of x+sqrt(x^2+1) computation:
+//
+//  1) p2 = (p2_hi+p2_lo) = x^2+1 obtaining
+//     ------------------------------------
+//     p2_hi = x2_hi + 1, where x2_hi = x * x;
+//     p2_lo = x2_lo + p1_lo, where 
+//                            x2_lo = FMS(x*x-x2_hi), 
+//                            p1_lo = (1 - p2_hi) + x2_hi;
+//
+//  2) g = (g_hi+g_lo) = sqrt(p2) = sqrt(p2_hi+p2_lo)
+//     ----------------------------------------------
+//     r = invsqrt(p2_hi) (8-bit reciprocal square root approximation);
+//     g = p2_hi * r (first 8 bit-approximation of sqrt);
+//     
+//     h = 0.5 * r;
+//     e = 0.5 - g * h;
+//     g = g * e + g (second 16 bit-approximation of sqrt);
+//     
+//     h = h * e + h;
+//     e = 0.5 - g * h;
+//     g = g * e + g (third 32 bit-approximation of sqrt);
+//
+//     h = h * e + h;
+//     e = 0.5 - g * h;
+//     g_hi = g * e + g (fourth 64 bit-approximation of sqrt);
+//  
+//     Remainder computation:
+//     h = h * e + h;
+//     d = (p2_hi - g_hi * g_hi) + p2_lo;
+//     g_lo = d * h;
+//
+//  3) b = (b_hi + b_lo) = x + g, where g = (g_hi + g_lo) = sqrt(x^2+1)
+//     -------------------------------------------------------------------
+//     b_hi = (g_hi + x) + gl;
+//     b_lo = (g_hi - b_hi) + x + gl;
+//     
+//  Now we pass b presented as sum b_hi + b_lo to special version
+//  of logl function which accept a pair of arguments as
+//  'mutiprecision' value.   
+//  
+//  Special log algorithm overview
+//  ================================
+//   Here we use a table lookup method. The basic idea is that in
+//   order to compute logl(Arg) = logl (Arg-1) for an argument Arg in [1,2), 
+//   we construct a value G such that G*Arg is close to 1 and that
+//   logl(1/G) is obtainable easily from a table of values calculated
+//   beforehand. Thus
+//
+//      logl(Arg) = logl(1/G) + logl((G*Arg - 1))
+//
+//   Because |G*Arg - 1| is small, the second term on the right hand
+//   side can be approximated by a short polynomial. We elaborate
+//   this method in four steps.
+//
+//   Step 0: Initialization
+//
+//   We need to calculate logl( X ). Obtain N, S_hi such that
+//
+//      X = 2^N * ( S_hi + S_lo )   exactly
+//
+//   where S_hi in [1,2) and S_lo is a correction to S_hi in the sense
+//   that |S_lo| <= ulp(S_hi).
+//
+//   For the special version of logl: S_lo = b_lo
+//   !-----------------------------------------------!
+//
+//   Step 1: Argument Reduction
+//
+//   Based on S_hi, obtain G_1, G_2, G_3 from a table and calculate
+//
+//      G := G_1 * G_2 * G_3
+//      r := (G * S_hi - 1) + G * S_lo
+//
+//   These G_j's have the property that the product is exactly 
+//   representable and that |r| < 2^(-12) as a result.
+//
+//   Step 2: Approximation
+//
+//   logl(1 + r) is approximated by a short polynomial poly(r).
+//
+//   Step 3: Reconstruction
+//
+//   Finally, 
+//
+//   logl( X )   =   logl( 2^N * (S_hi + S_lo) )
+//                 ~=~  N*logl(2) + logl(1/G) + logl(1 + r)
+//                 ~=~  N*logl(2) + logl(1/G) + poly(r).
+//
+//   For detailed description see logl or log1pl function, regular path.
+//
+// Registers used
+//==============================================================
+// Floating Point registers used: 
+// f8, input
+// f32 -> f101 (70 registers)
+
+// General registers used:  
+// r32 -> r57 (26 registers)
+
+// Predicate registers used:
+// p6 -> p11
+// p6  for '0, NaNs, Inf' path
+// p7  for '+ denormals' path 
+// p8  for 'near 0' path
+// p9  for 'huges' path
+// p10 for '- denormals' path 
+// p11 for negative values
+//
+// Data tables
+//==============================================================
+     
+RODATA
+.align 64
+
+// C7, C9 'near 0' polynomial coefficients
+LOCAL_OBJECT_START(Poly_C_near_0_79)
+data8 0xF8DC939BBEDD5A54, 0x00003FF9
+data8 0xB6DB6DAB21565AC5, 0x0000BFFA
+LOCAL_OBJECT_END(Poly_C_near_0_79)
+
+// C3, C5 'near 0' polynomial coefficients
+LOCAL_OBJECT_START(Poly_C_near_0_35)
+data8 0x999999999991D582, 0x00003FFB
+data8 0xAAAAAAAAAAAAAAA9, 0x0000BFFC
+LOCAL_OBJECT_END(Poly_C_near_0_35)
+
+// Q coeffs 
+LOCAL_OBJECT_START(Constants_Q)
+data4  0x00000000,0xB1721800,0x00003FFE,0x00000000 
+data4  0x4361C4C6,0x82E30865,0x0000BFE2,0x00000000
+data4  0x328833CB,0xCCCCCAF2,0x00003FFC,0x00000000
+data4  0xA9D4BAFB,0x80000077,0x0000BFFD,0x00000000
+data4  0xAAABE3D2,0xAAAAAAAA,0x00003FFD,0x00000000
+data4  0xFFFFDAB7,0xFFFFFFFF,0x0000BFFD,0x00000000 
+LOCAL_OBJECT_END(Constants_Q)
+
+// Z1 - 16 bit fixed
+LOCAL_OBJECT_START(Constants_Z_1)
+data4  0x00008000
+data4  0x00007879
+data4  0x000071C8
+data4  0x00006BCB
+data4  0x00006667
+data4  0x00006187
+data4  0x00005D18
+data4  0x0000590C
+data4  0x00005556
+data4  0x000051EC
+data4  0x00004EC5
+data4  0x00004BDB
+data4  0x00004925
+data4  0x0000469F
+data4  0x00004445
+data4  0x00004211
+LOCAL_OBJECT_END(Constants_Z_1)
+
+// G1 and H1 - IEEE single and h1 - IEEE double
+LOCAL_OBJECT_START(Constants_G_H_h1)
+data4  0x3F800000,0x00000000
+data8  0x0000000000000000
+data4  0x3F70F0F0,0x3D785196
+data8  0x3DA163A6617D741C
+data4  0x3F638E38,0x3DF13843
+data8  0x3E2C55E6CBD3D5BB
+data4  0x3F579430,0x3E2FF9A0
+data8  0xBE3EB0BFD86EA5E7
+data4  0x3F4CCCC8,0x3E647FD6
+data8  0x3E2E6A8C86B12760
+data4  0x3F430C30,0x3E8B3AE7
+data8  0x3E47574C5C0739BA
+data4  0x3F3A2E88,0x3EA30C68
+data8  0x3E20E30F13E8AF2F
+data4  0x3F321640,0x3EB9CEC8
+data8  0xBE42885BF2C630BD
+data4  0x3F2AAAA8,0x3ECF9927
+data8  0x3E497F3497E577C6
+data4  0x3F23D708,0x3EE47FC5
+data8  0x3E3E6A6EA6B0A5AB
+data4  0x3F1D89D8,0x3EF8947D
+data8  0xBDF43E3CD328D9BE
+data4  0x3F17B420,0x3F05F3A1
+data8  0x3E4094C30ADB090A
+data4  0x3F124920,0x3F0F4303
+data8  0xBE28FBB2FC1FE510
+data4  0x3F0D3DC8,0x3F183EBF
+data8  0x3E3A789510FDE3FA
+data4  0x3F088888,0x3F20EC80
+data8  0x3E508CE57CC8C98F
+data4  0x3F042108,0x3F29516A
+data8  0xBE534874A223106C
+LOCAL_OBJECT_END(Constants_G_H_h1)
+
+// Z2 - 16 bit fixed
+LOCAL_OBJECT_START(Constants_Z_2)
+data4  0x00008000
+data4  0x00007F81
+data4  0x00007F02
+data4  0x00007E85
+data4  0x00007E08
+data4  0x00007D8D
+data4  0x00007D12
+data4  0x00007C98
+data4  0x00007C20
+data4  0x00007BA8
+data4  0x00007B31
+data4  0x00007ABB
+data4  0x00007A45
+data4  0x000079D1
+data4  0x0000795D
+data4  0x000078EB
+LOCAL_OBJECT_END(Constants_Z_2)
+
+// G2 and H2 - IEEE single and h2 - IEEE double
+LOCAL_OBJECT_START(Constants_G_H_h2)
+data4  0x3F800000,0x00000000
+data8  0x0000000000000000
+data4  0x3F7F00F8,0x3B7F875D
+data8  0x3DB5A11622C42273
+data4  0x3F7E03F8,0x3BFF015B
+data8  0x3DE620CF21F86ED3
+data4  0x3F7D08E0,0x3C3EE393
+data8  0xBDAFA07E484F34ED
+data4  0x3F7C0FC0,0x3C7E0586
+data8  0xBDFE07F03860BCF6
+data4  0x3F7B1880,0x3C9E75D2
+data8  0x3DEA370FA78093D6
+data4  0x3F7A2328,0x3CBDC97A
+data8  0x3DFF579172A753D0
+data4  0x3F792FB0,0x3CDCFE47
+data8  0x3DFEBE6CA7EF896B
+data4  0x3F783E08,0x3CFC15D0
+data8  0x3E0CF156409ECB43
+data4  0x3F774E38,0x3D0D874D
+data8  0xBE0B6F97FFEF71DF
+data4  0x3F766038,0x3D1CF49B
+data8  0xBE0804835D59EEE8
+data4  0x3F757400,0x3D2C531D
+data8  0x3E1F91E9A9192A74
+data4  0x3F748988,0x3D3BA322
+data8  0xBE139A06BF72A8CD
+data4  0x3F73A0D0,0x3D4AE46F
+data8  0x3E1D9202F8FBA6CF
+data4  0x3F72B9D0,0x3D5A1756
+data8  0xBE1DCCC4BA796223
+data4  0x3F71D488,0x3D693B9D
+data8  0xBE049391B6B7C239
+LOCAL_OBJECT_END(Constants_G_H_h2)
+
+// G3 and H3 - IEEE single and h3 - IEEE double 
+LOCAL_OBJECT_START(Constants_G_H_h3)
+data4  0x3F7FFC00,0x38800100
+data8  0x3D355595562224CD
+data4  0x3F7FF400,0x39400480
+data8  0x3D8200A206136FF6
+data4  0x3F7FEC00,0x39A00640
+data8  0x3DA4D68DE8DE9AF0
+data4  0x3F7FE400,0x39E00C41
+data8  0xBD8B4291B10238DC
+data4  0x3F7FDC00,0x3A100A21
+data8  0xBD89CCB83B1952CA
+data4  0x3F7FD400,0x3A300F22
+data8  0xBDB107071DC46826
+data4  0x3F7FCC08,0x3A4FF51C
+data8  0x3DB6FCB9F43307DB
+data4  0x3F7FC408,0x3A6FFC1D
+data8  0xBD9B7C4762DC7872
+data4  0x3F7FBC10,0x3A87F20B
+data8  0xBDC3725E3F89154A
+data4  0x3F7FB410,0x3A97F68B
+data8  0xBD93519D62B9D392
+data4  0x3F7FAC18,0x3AA7EB86
+data8  0x3DC184410F21BD9D
+data4  0x3F7FA420,0x3AB7E101
+data8  0xBDA64B952245E0A6
+data4  0x3F7F9C20,0x3AC7E701
+data8  0x3DB4B0ECAABB34B8
+data4  0x3F7F9428,0x3AD7DD7B
+data8  0x3D9923376DC40A7E
+data4  0x3F7F8C30,0x3AE7D474
+data8  0x3DC6E17B4F2083D3
+data4  0x3F7F8438,0x3AF7CBED
+data8  0x3DAE314B811D4394
+data4  0x3F7F7C40,0x3B03E1F3
+data8  0xBDD46F21B08F2DB1
+data4  0x3F7F7448,0x3B0BDE2F
+data8  0xBDDC30A46D34522B
+data4  0x3F7F6C50,0x3B13DAAA
+data8  0x3DCB0070B1F473DB
+data4  0x3F7F6458,0x3B1BD766
+data8  0xBDD65DDC6AD282FD
+data4  0x3F7F5C68,0x3B23CC5C
+data8  0xBDCDAB83F153761A
+data4  0x3F7F5470,0x3B2BC997
+data8  0xBDDADA40341D0F8F
+data4  0x3F7F4C78,0x3B33C711
+data8  0x3DCD1BD7EBC394E8
+data4  0x3F7F4488,0x3B3BBCC6
+data8  0xBDC3532B52E3E695
+data4  0x3F7F3C90,0x3B43BAC0
+data8  0xBDA3961EE846B3DE
+data4  0x3F7F34A0,0x3B4BB0F4
+data8  0xBDDADF06785778D4
+data4  0x3F7F2CA8,0x3B53AF6D
+data8  0x3DCC3ED1E55CE212
+data4  0x3F7F24B8,0x3B5BA620
+data8  0xBDBA31039E382C15
+data4  0x3F7F1CC8,0x3B639D12
+data8  0x3D635A0B5C5AF197
+data4  0x3F7F14D8,0x3B6B9444
+data8  0xBDDCCB1971D34EFC
+data4  0x3F7F0CE0,0x3B7393BC
+data8  0x3DC7450252CD7ADA
+data4  0x3F7F04F0,0x3B7B8B6D
+data8  0xBDB68F177D7F2A42
+LOCAL_OBJECT_END(Constants_G_H_h3)
+
+// Assembly macros
+//==============================================================
+
+// Floating Point Registers
+
+FR_Arg          = f8
+FR_Res          = f8
+FR_AX           = f32
+FR_XLog_Hi      = f33 
+FR_XLog_Lo      = f34 
+
+    // Special logl registers
+FR_Y_hi         = f35  
+FR_Y_lo         = f36
+
+FR_Scale        = f37
+FR_X_Prime      = f38 
+FR_S_hi         = f39  
+FR_W            = f40
+FR_G            = f41
+
+FR_H            = f42
+FR_wsq          = f43 
+FR_w4           = f44
+FR_h            = f45
+FR_w6           = f46  
+
+FR_G2           = f47
+FR_H2           = f48
+FR_poly_lo      = f49
+FR_P8           = f50  
+FR_poly_hi      = f51
+
+FR_P7           = f52  
+FR_h2           = f53 
+FR_rsq          = f54  
+FR_P6           = f55
+FR_r            = f56  
+
+FR_log2_hi      = f57  
+FR_log2_lo      = f58  
+ 
+FR_float_N      = f59 
+FR_Q4           = f60 
+
+FR_G3           = f61  
+FR_H3           = f62  
+FR_h3           = f63  
+
+FR_Q3           = f64  
+FR_Q2           = f65 
+FR_1LN10_hi     = f66 
+
+FR_Q1           = f67 
+FR_1LN10_lo     = f68 
+FR_P5           = f69 
+FR_rcub         = f70 
+
+FR_Neg_One      = f71 
+FR_Z            = f72 
+FR_AA           = f73 
+FR_BB           = f74 
+FR_S_lo         = f75 
+FR_2_to_minus_N = f76 
+
+
+    // Huge & Main path prolog registers
+FR_Half         = f77
+FR_Two          = f78
+FR_X2           = f79
+FR_P2           = f80
+FR_P2L          = f81
+FR_Rcp          = f82
+FR_GG           = f83
+FR_HH           = f84
+FR_EE           = f85
+FR_DD           = f86
+FR_GL           = f87
+FR_A            = f88
+FR_AL           = f89
+FR_B            = f90
+FR_BL           = f91
+FR_Tmp          = f92
+
+    // Near 0 & Huges path prolog registers
+FR_C3           = f93
+FR_C5           = f94
+FR_C7           = f95
+FR_C9           = f96
+
+FR_X3           = f97
+FR_X4           = f98
+FR_P9           = f99
+FR_P5           = f100
+FR_P3           = f101
+
+
+// General Purpose Registers
+
+    // General prolog registers
+GR_PFS          = r32
+GR_TwoN7        = r40
+GR_TwoP63       = r41
+GR_ExpMask      = r42
+GR_ArgExp       = r43
+GR_Half         = r44
+
+    // Near 0 path prolog registers
+GR_Poly_C_35    = r45
+GR_Poly_C_79    = r46
+
+    // Special logl registers
+GR_Index1       = r34 
+GR_Index2       = r35 
+GR_signif       = r36 
+GR_X_0          = r37 
+GR_X_1          = r38 
+GR_X_2          = r39 
+GR_Z_1          = r40 
+GR_Z_2          = r41 
+GR_N            = r42 
+GR_Bias         = r43 
+GR_M            = r44 
+GR_Index3       = r45 
+GR_exp_2tom80   = r45 
+GR_exp_mask     = r47 
+GR_exp_2tom7    = r48 
+GR_ad_ln10      = r49 
+GR_ad_tbl_1     = r50
+GR_ad_tbl_2     = r51
+GR_ad_tbl_3     = r52
+GR_ad_q         = r53
+GR_ad_z_1       = r54
+GR_ad_z_2       = r55
+GR_ad_z_3       = r56
+GR_minus_N      = r57
+
+
+
+.section .text
+GLOBAL_LIBM_ENTRY(asinhl)
+
+{ .mfi
+      alloc     GR_PFS        = ar.pfs,0,27,0,0
+      fma.s1    FR_P2         = FR_Arg, FR_Arg, f1  // p2 = x^2 + 1
+      mov   	GR_Half       = 0xfffe              // 0.5's exp
+}
+{ .mfi
+      addl      GR_Poly_C_79  = @ltoff(Poly_C_near_0_79), gp // C7, C9 coeffs
+      fma.s1    FR_X2         = FR_Arg, FR_Arg, f0           // Obtain x^2
+      addl      GR_Poly_C_35  = @ltoff(Poly_C_near_0_35), gp // C3, C5 coeffs
+};;
+
+{ .mfi
+      getf.exp  GR_ArgExp     = FR_Arg        // get arument's exponent
+      fabs      FR_AX         = FR_Arg        // absolute value of argument
+      mov       GR_TwoN7      = 0xfff8        // 2^-7 exp
+}
+{ .mfi
+      ld8       GR_Poly_C_79  = [GR_Poly_C_79] // get actual coeff table address
+      fma.s0       FR_Two        = f1, f1, f1        // construct 2.0
+      mov       GR_ExpMask    = 0x1ffff        // mask for exp
+};;
+
+{ .mfi
+      ld8       GR_Poly_C_35  = [GR_Poly_C_35] // get actual coeff table address
+      fclass.m  p6,p0         = FR_Arg, 0xe7   // if arg NaN inf zero
+      mov       GR_TwoP63     = 0x1003e        // 2^63 exp
+}
+{ .mfi
+      addl      GR_ad_z_1     = @ltoff(Constants_Z_1#),gp
+      nop.f 0
+      nop.i 0
+};;
+
+{ .mfi
+      setf.exp	FR_Half       = GR_Half              // construct 0.5
+      fclass.m  p7,p0         = FR_Arg, 0x09  //  if arg + denorm
+      and       GR_ArgExp     = GR_ExpMask, GR_ArgExp // select exp
+}
+{ .mfb
+      ld8       GR_ad_z_1     = [GR_ad_z_1]   // Get pointer to Constants_Z_1
+      nop.f 0
+      nop.b 0
+};;
+{ .mfi
+      ldfe      FR_C9         = [GR_Poly_C_79],16 // load C9
+      fclass.m  p10,p0        = FR_Arg, 0x0a    //  if arg - denorm
+      cmp.gt    p8, p0        = GR_TwoN7,  GR_ArgExp // if arg < 2^-7 ('near 0')
+}
+{ .mfb
+      cmp.le    p9, p0        = GR_TwoP63, GR_ArgExp  // if arg > 2^63 ('huges')
+(p6)  fma.s0    FR_Res        = FR_Arg,f1,FR_Arg     // r = a + a
+(p6)  br.ret.spnt b0                            // return       
+};;
+// (X^2 + 1) computation
+{ .mfi
+(p8)  ldfe      FR_C5         = [GR_Poly_C_35],16        // load C5
+      fms.s1    FR_Tmp        = f1, f1, FR_P2           // Tmp = 1 - p2
+      add       GR_ad_tbl_1   = 0x040, GR_ad_z_1    // Point to Constants_G_H_h1
+}
+{ .mfb
+(p8)  ldfe      FR_C7         = [GR_Poly_C_79],16        // load C7
+(p7)  fnma.s0   FR_Res        =  FR_Arg,FR_Arg,FR_Arg // r = a - a*a
+(p7)  br.ret.spnt b0                              // return
+};;
+
+{ .mfi
+(p8)  ldfe      FR_C3         = [GR_Poly_C_35],16     // load C3
+      fcmp.lt.s1 p11, p12      = FR_Arg, f0     // if arg is negative
+      add       GR_ad_q       = -0x60, GR_ad_z_1    // Point to Constants_P
+}
+{ .mfb
+      add       GR_ad_z_2     = 0x140, GR_ad_z_1    // Point to Constants_Z_2
+(p10) fma.s0    FR_Res        =  FR_Arg,FR_Arg,FR_Arg // r = a + a*a
+(p10) br.ret.spnt b0                             // return
+};;
+
+{ .mfi
+      add       GR_ad_tbl_2   = 0x180, GR_ad_z_1    // Point to Constants_G_H_h2
+      frsqrta.s1 FR_Rcp, p0   = FR_P2           // Rcp = 1/p2 reciprocal appr.
+      add       GR_ad_tbl_3   = 0x280, GR_ad_z_1    // Point to Constants_G_H_h3
+}
+{ .mfi
+      nop.m 0
+      fms.s1    FR_P2L        = FR_AX, FR_AX, FR_X2 //low part of p2=fma(X*X-p2)
+      mov       GR_Bias       = 0x0FFFF            // Create exponent bias
+};;
+
+{ .mfb
+      nop.m 0
+(p9)  fms.s1    FR_XLog_Hi    = FR_Two, FR_AX, f0  // Hi  of log1p arg = 2*X - 1
+(p9)  br.cond.spnt huges_logl                      // special version of log1p
+};;
+
+{ .mfb
+      ldfe      FR_log2_hi    = [GR_ad_q],16      // Load log2_hi
+(p8)  fma.s1    FR_X3         = FR_X2, FR_Arg, f0        // x^3 = x^2 * x
+(p8)  br.cond.spnt near_0                                // Go to near 0 branch
+};;
+
+{ .mfi
+      ldfe      FR_log2_lo    = [GR_ad_q],16      // Load log2_lo
+      nop.f 0
+      nop.i 0
+};;
+
+{ .mfi
+      ldfe      FR_Q4         = [GR_ad_q],16          // Load Q4
+      fma.s1    FR_Tmp        = FR_Tmp, f1, FR_X2       // Tmp = Tmp + x^2
+      mov       GR_exp_mask   = 0x1FFFF        // Create exponent mask
+};;
+
+{ .mfi
+      ldfe      FR_Q3         = [GR_ad_q],16   // Load Q3
+      fma.s1    FR_GG         = FR_Rcp, FR_P2, f0        // g = Rcp * p2
+                                               // 8 bit Newton Raphson iteration
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+      fma.s1    FR_HH         = FR_Half, FR_Rcp, f0      // h = 0.5 * Rcp
+      nop.i 0
+};;
+{ .mfi
+      ldfe      FR_Q2         = [GR_ad_q],16      // Load Q2
+      fnma.s1   FR_EE         = FR_GG, FR_HH, FR_Half   // e = 0.5 - g * h
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+      fma.s1    FR_P2L        = FR_Tmp, f1, FR_P2L // low part of p2 = Tmp + p2l
+      nop.i 0
+};;
+
+{ .mfi
+      ldfe      FR_Q1         = [GR_ad_q]                // Load Q1
+      fma.s1    FR_GG         = FR_GG, FR_EE, FR_GG     // g = g * e + g 
+                                              // 16 bit Newton Raphson iteration
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+      fma.s1    FR_HH         = FR_HH, FR_EE, FR_HH     // h = h * e + h
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      fnma.s1   FR_EE         = FR_GG, FR_HH, FR_Half   // e = 0.5 - g * h
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      fma.s1    FR_GG         = FR_GG, FR_EE, FR_GG     // g = g * e + g 
+                                              // 32 bit Newton Raphson iteration
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+      fma.s1    FR_HH         = FR_HH, FR_EE, FR_HH     // h = h * e + h
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      fnma.s1   FR_EE         = FR_GG, FR_HH, FR_Half   // e = 0.5 - g * h
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      fma.s1    FR_GG         = FR_GG, FR_EE, FR_GG     // g = g * e + g 
+                                              // 64 bit Newton Raphson iteration
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+      fma.s1    FR_HH         = FR_HH, FR_EE, FR_HH     // h = h * e + h
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      fnma.s1   FR_DD         = FR_GG, FR_GG, FR_P2  // Remainder d = g * g - p2
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+      fma.s1    FR_XLog_Hi     = FR_AX, f1, FR_GG // bh = z + gh
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      fma.s1    FR_DD         = FR_DD, f1, FR_P2L       // add p2l: d = d + p2l
+      nop.i 0
+};;
+
+
+{ .mfi
+      getf.sig  GR_signif     = FR_XLog_Hi     // Get significand of x+1
+      fmerge.ns FR_Neg_One    = f1, f1         // Form -1.0
+      mov       GR_exp_2tom7  = 0x0fff8        // Exponent of 2^-7
+};;
+
+{ .mfi
+      nop.m 0
+      fma.s1    FR_GL         = FR_DD, FR_HH, f0        // gl = d * h
+      extr.u    GR_Index1     = GR_signif, 59, 4    // Get high 4 bits of signif
+}
+{ .mfi
+      nop.m 0
+      fma.s1    FR_XLog_Hi     = FR_DD,  FR_HH, FR_XLog_Hi // bh = bh + gl
+      nop.i 0
+};;
+
+{ .mmi
+      shladd    GR_ad_z_1     = GR_Index1, 2, GR_ad_z_1  // Point to Z_1
+      shladd    GR_ad_tbl_1   = GR_Index1, 4, GR_ad_tbl_1  // Point to G_1
+      extr.u    GR_X_0        = GR_signif, 49, 15 // Get high 15 bits of signif.
+};;
+
+{ .mmi
+      ld4       GR_Z_1        = [GR_ad_z_1]    // Load Z_1
+      nop.m 0
+      nop.i 0
+};;
+
+{ .mmi
+      ldfps     FR_G, FR_H    = [GR_ad_tbl_1],8     // Load G_1, H_1
+      nop.m 0
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      fms.s1    FR_XLog_Lo     = FR_GG,  f1,   FR_XLog_Hi // bl = gh - bh
+      pmpyshr2.u GR_X_1       = GR_X_0,GR_Z_1,15  // Get bits 30-15 of X_0 * Z_1
+};;
+
+// WE CANNOT USE GR_X_1 IN NEXT 3 CYCLES BECAUSE OF POSSIBLE 10 CLOCKS STALL!
+// "DEAD" ZONE!
+
+{ .mfi
+      nop.m 0
+      nop.f 0
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      fmerge.se FR_S_hi       =  f1,FR_XLog_Hi            // Form |x+1|
+      nop.i 0
+};;
+
+{ .mmi
+      getf.exp  GR_N          =  FR_XLog_Hi    // Get N = exponent of x+1
+      ldfd      FR_h          = [GR_ad_tbl_1]        // Load h_1
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      nop.f 0
+      extr.u    GR_Index2     = GR_X_1, 6, 4      // Extract bits 6-9 of X_1 
+};;
+
+
+{ .mfi
+      shladd    GR_ad_tbl_2   = GR_Index2, 4, GR_ad_tbl_2  // Point to G_2
+      fma.s1    FR_XLog_Lo    = FR_XLog_Lo, f1, FR_AX // bl = bl + x
+      mov       GR_exp_2tom80 = 0x0ffaf           // Exponent of 2^-80
+}
+{ .mfi
+      shladd    GR_ad_z_2     = GR_Index2, 2, GR_ad_z_2  // Point to Z_2
+      nop.f 0
+      sub       GR_N          = GR_N, GR_Bias // sub bias from exp
+};;
+
+{ .mmi
+      ldfps     FR_G2, FR_H2  = [GR_ad_tbl_2],8       // Load G_2, H_2
+      ld4       GR_Z_2        = [GR_ad_z_2]                // Load Z_2
+      sub       GR_minus_N    = GR_Bias, GR_N         // Form exponent of 2^(-N)
+};;
+
+{ .mmi
+      ldfd      FR_h2         = [GR_ad_tbl_2]             // Load h_2
+      nop.m 0
+      nop.i 0
+};;
+
+{ .mmi
+      setf.sig  FR_float_N    = GR_N        // Put integer N into rightmost sign
+      setf.exp  FR_2_to_minus_N = GR_minus_N   // Form 2^(-N)
+      pmpyshr2.u GR_X_2       = GR_X_1,GR_Z_2,15 // Get bits 30-15 of X_1 * Z_2
+};;
+
+// WE CANNOT USE GR_X_2 IN NEXT 3 CYCLES ("DEAD" ZONE!) 
+// BECAUSE OF POSSIBLE 10 CLOCKS STALL!
+// So we can negate Q coefficients there for negative values
+
+{ .mfi
+      nop.m 0
+(p11) fma.s1    FR_Q1         = FR_Q1, FR_Neg_One, f0 // Negate Q1
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+      fma.s1    FR_XLog_Lo     = FR_XLog_Lo, f1, FR_GL // bl = bl + gl
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+(p11) fma.s1    FR_Q2         = FR_Q2, FR_Neg_One, f0 // Negate Q2
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+(p11) fma.s1    FR_Q3         = FR_Q3, FR_Neg_One, f0 // Negate Q3
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+(p11) fma.s1    FR_Q4         = FR_Q4, FR_Neg_One, f0 // Negate Q4
+      extr.u    GR_Index3     = GR_X_2, 1, 5         // Extract bits 1-5 of X_2
+};;
+
+{ .mfi
+      shladd    GR_ad_tbl_3   = GR_Index3, 4, GR_ad_tbl_3  // Point to G_3
+      nop.f 0
+      nop.i 0
+};;
+
+{ .mfi
+      ldfps     FR_G3, FR_H3  = [GR_ad_tbl_3],8   // Load G_3, H_3
+      nop.f 0
+      nop.i 0
+};;
+
+{ .mfi
+      ldfd      FR_h3         = [GR_ad_tbl_3]            // Load h_3
+	  fcvt.xf   FR_float_N    = FR_float_N
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      fmpy.s1   FR_G          = FR_G, FR_G2              // G = G_1 * G_2
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+      fadd.s1   FR_H          = FR_H, FR_H2              // H = H_1 + H_2
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      fadd.s1   FR_h          = FR_h, FR_h2              // h = h_1 + h_2
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+      fma.s1    FR_S_lo       = FR_XLog_Lo, FR_2_to_minus_N, f0 //S_lo=S_lo*2^-N
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      fmpy.s1   FR_G          = FR_G, FR_G3             // G = (G_1 * G_2) * G_3
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+      fadd.s1   FR_H          = FR_H, FR_H3             // H = (H_1 + H_2) + H_3
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      fadd.s1   FR_h          = FR_h, FR_h3             // h = (h_1 + h_2) + h_3
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      fms.s1    FR_r          = FR_G, FR_S_hi, f1           // r = G * S_hi - 1
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+      fma.s1    FR_Y_hi       = FR_float_N, FR_log2_hi, FR_H // Y_hi=N*log2_hi+H
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      fma.s1    FR_h          = FR_float_N, FR_log2_lo, FR_h  // h=N*log2_lo+h
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+      fma.s1    FR_r          = FR_G, FR_S_lo, FR_r  // r=G*S_lo+(G*S_hi-1)
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      fma.s1    FR_poly_lo    = FR_r, FR_Q4, FR_Q3      // poly_lo = r * Q4 + Q3
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+      fmpy.s1   FR_rsq        = FR_r, FR_r              // rsq = r * r
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      fma.s1    FR_poly_lo    = FR_poly_lo, FR_r, FR_Q2 // poly_lo=poly_lo*r+Q2
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+      fma.s1    FR_rcub       = FR_rsq, FR_r, f0        // rcub = r^3
+      nop.i 0
+};;
+
+.pred.rel "mutex",p12,p11
+{ .mfi
+      nop.m 0
+(p12) fma.s1    FR_poly_hi    = FR_Q1, FR_rsq, FR_r // poly_hi = Q1*rsq + r
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+(p11) fms.s1    FR_poly_hi    = FR_Q1, FR_rsq, FR_r     // poly_hi = Q1*rsq + r
+      nop.i 0
+};;
+
+
+.pred.rel "mutex",p12,p11
+{ .mfi
+      nop.m 0
+(p12) fma.s1    FR_poly_lo    = FR_poly_lo, FR_rcub, FR_h//poly_lo=poly_lo*r^3+h
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+(p11) fms.s1    FR_poly_lo    = FR_poly_lo, FR_rcub, FR_h//poly_lo=poly_lo*r^3+h
+      nop.i 0
+}
+;;
+
+{ .mfi
+      nop.m 0
+      fadd.s0   FR_Y_lo       = FR_poly_hi, FR_poly_lo  
+	                                                     // Y_lo=poly_hi+poly_lo
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+(p11) fma.s0    FR_Y_hi       = FR_Y_hi, FR_Neg_One, f0 // FR_Y_hi sign for neg
+      nop.i 0
+};;
+
+{ .mfb
+      nop.m 0
+      fadd.s0   FR_Res        = FR_Y_lo,FR_Y_hi    // Result=Y_lo+Y_hi
+      br.ret.sptk   b0                         // Common exit for 2^-7 < x < inf
+};;
+
+// * SPECIAL VERSION OF LOGL FOR HUGE ARGUMENTS *
+
+huges_logl:
+{ .mfi
+      getf.sig  GR_signif     = FR_XLog_Hi     // Get significand of x+1
+      fmerge.ns FR_Neg_One    = f1, f1         // Form -1.0
+      mov       GR_exp_2tom7  = 0x0fff8        // Exponent of 2^-7
+};;
+
+{ .mfi
+      add       GR_ad_tbl_1   = 0x040, GR_ad_z_1    // Point to Constants_G_H_h1
+      nop.f 0
+      add       GR_ad_q       = -0x60, GR_ad_z_1    // Point to Constants_P
+}
+{ .mfi
+      add       GR_ad_z_2     = 0x140, GR_ad_z_1    // Point to Constants_Z_2
+      nop.f 0
+      add       GR_ad_tbl_2   = 0x180, GR_ad_z_1    // Point to Constants_G_H_h2
+};;
+
+{ .mfi
+      nop.m 0
+      nop.f 0
+      extr.u    GR_Index1     = GR_signif, 59, 4    // Get high 4 bits of signif
+}
+{ .mfi
+      add       GR_ad_tbl_3   = 0x280, GR_ad_z_1    // Point to Constants_G_H_h3
+      nop.f 0
+      nop.i 0
+};;
+
+{ .mfi
+      shladd    GR_ad_z_1     = GR_Index1, 2, GR_ad_z_1  // Point to Z_1
+      nop.f 0
+      extr.u    GR_X_0        = GR_signif, 49, 15 // Get high 15 bits of signif.
+};;
+
+{ .mfi
+      ld4       GR_Z_1        = [GR_ad_z_1]    // Load Z_1
+      nop.f 0
+      mov       GR_exp_mask   = 0x1FFFF        // Create exponent mask
+}
+{ .mfi
+      shladd    GR_ad_tbl_1   = GR_Index1, 4, GR_ad_tbl_1  // Point to G_1
+      nop.f 0
+      mov       GR_Bias       = 0x0FFFF            // Create exponent bias
+};;
+
+{ .mfi
+      ldfps     FR_G, FR_H    = [GR_ad_tbl_1],8     // Load G_1, H_1
+      fmerge.se FR_S_hi       =  f1,FR_XLog_Hi            // Form |x+1|
+      nop.i 0
+};;
+
+{ .mmi
+      getf.exp  GR_N          =  FR_XLog_Hi          // Get N = exponent of x+1
+      ldfd      FR_h          = [GR_ad_tbl_1]        // Load h_1
+      nop.i 0
+};;
+
+{ .mfi
+      ldfe      FR_log2_hi    = [GR_ad_q],16      // Load log2_hi
+      nop.f 0
+      pmpyshr2.u GR_X_1       = GR_X_0,GR_Z_1,15  // Get bits 30-15 of X_0 * Z_1
+};;
+
+// WE CANNOT USE GR_X_1 IN NEXT 3 CYCLES BECAUSE OF POSSIBLE 10 CLOCKS STALL!
+// "DEAD" ZONE!
+
+{ .mmi
+      ldfe      FR_log2_lo    = [GR_ad_q],16      // Load log2_lo
+      sub       GR_N          = GR_N, GR_Bias 
+      mov       GR_exp_2tom80 = 0x0ffaf           // Exponent of 2^-80
+};;
+
+{ .mfi
+      ldfe      FR_Q4         = [GR_ad_q],16          // Load Q4
+      nop.f 0
+      sub       GR_minus_N    = GR_Bias, GR_N         // Form exponent of 2^(-N)
+};;
+
+{ .mmf
+      ldfe      FR_Q3         = [GR_ad_q],16   // Load Q3
+      setf.sig  FR_float_N    = GR_N        // Put integer N into rightmost sign
+      nop.f 0
+};;
+
+{ .mmi
+      nop.m 0
+      ldfe      FR_Q2         = [GR_ad_q],16      // Load Q2
+      extr.u    GR_Index2     = GR_X_1, 6, 4      // Extract bits 6-9 of X_1 
+};;
+
+{ .mmi
+      ldfe      FR_Q1         = [GR_ad_q]                // Load Q1
+      shladd    GR_ad_z_2     = GR_Index2, 2, GR_ad_z_2  // Point to Z_2
+      nop.i 0
+};;
+
+{ .mmi
+      ld4       GR_Z_2        = [GR_ad_z_2]                // Load Z_2
+      shladd    GR_ad_tbl_2   = GR_Index2, 4, GR_ad_tbl_2  // Point to G_2
+      nop.i 0
+};;
+
+{ .mmi
+      ldfps     FR_G2, FR_H2  = [GR_ad_tbl_2],8       // Load G_2, H_2
+      nop.m 0
+      nop.i 0
+};;
+
+{ .mfi
+      ldfd      FR_h2         = [GR_ad_tbl_2]             // Load h_2
+      nop.f 0
+      nop.i 0
+}
+{ .mfi
+      setf.exp  FR_2_to_minus_N = GR_minus_N   // Form 2^(-N)
+      nop.f 0
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      nop.f 0
+      pmpyshr2.u GR_X_2       = GR_X_1,GR_Z_2,15 // Get bits 30-15 of X_1 * Z_2
+};;
+
+// WE CANNOT USE GR_X_2 IN NEXT 3 CYCLES BECAUSE OF POSSIBLE 10 CLOCKS STALL!
+// "DEAD" ZONE!
+// JUST HAVE TO INSERT 3 NOP CYCLES (nothing to do here)
+
+{ .mfi
+      nop.m 0
+      nop.f 0
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      nop.f 0
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      nop.f 0
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+(p11) fma.s1    FR_Q4         = FR_Q4, FR_Neg_One, f0 // Negate Q4
+      extr.u    GR_Index3     = GR_X_2, 1, 5          // Extract bits 1-5 of X_2
+ };;
+
+{ .mfi
+      shladd    GR_ad_tbl_3   = GR_Index3, 4, GR_ad_tbl_3  // Point to G_3
+	  fcvt.xf   FR_float_N    = FR_float_N
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+(p11) fma.s1    FR_Q3         = FR_Q3, FR_Neg_One, f0 // Negate Q3
+      nop.i 0
+};;
+
+{ .mfi
+      ldfps     FR_G3, FR_H3  = [GR_ad_tbl_3],8   // Load G_3, H_3
+(p11) fma.s1    FR_Q2         = FR_Q2, FR_Neg_One, f0 // Negate Q2
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+(p11) fma.s1    FR_Q1         = FR_Q1, FR_Neg_One, f0 // Negate Q1
+      nop.i 0
+};;
+
+{ .mfi
+      ldfd      FR_h3         = [GR_ad_tbl_3]            // Load h_3
+      fmpy.s1   FR_G          = FR_G, FR_G2              // G = G_1 * G_2
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+      fadd.s1   FR_H          = FR_H, FR_H2              // H = H_1 + H_2
+      nop.i 0
+};;
+
+{ .mmf
+      nop.m 0
+      nop.m 0
+      fadd.s1   FR_h          = FR_h, FR_h2              // h = h_1 + h_2
+};;
+
+{ .mfi
+      nop.m 0
+      fmpy.s1   FR_G          = FR_G, FR_G3             // G = (G_1 * G_2) * G_3
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+      fadd.s1   FR_H          = FR_H, FR_H3             // H = (H_1 + H_2) + H_3
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      fadd.s1   FR_h          = FR_h, FR_h3             // h = (h_1 + h_2) + h_3
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      fms.s1    FR_r          = FR_G, FR_S_hi, f1           // r = G * S_hi - 1
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+      fma.s1    FR_Y_hi       = FR_float_N, FR_log2_hi, FR_H // Y_hi=N*log2_hi+H
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      fma.s1    FR_h          = FR_float_N, FR_log2_lo, FR_h  // h=N*log2_lo+h
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      fma.s1    FR_poly_lo    = FR_r, FR_Q4, FR_Q3      // poly_lo = r * Q4 + Q3
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+      fmpy.s1   FR_rsq        = FR_r, FR_r              // rsq = r * r
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      fma.s1    FR_poly_lo    = FR_poly_lo, FR_r, FR_Q2 // poly_lo=poly_lo*r+Q2
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+      fma.s1    FR_rcub       = FR_rsq, FR_r, f0        // rcub = r^3
+      nop.i 0
+};;
+
+.pred.rel "mutex",p12,p11
+{ .mfi
+      nop.m 0
+(p12) fma.s1    FR_poly_hi    = FR_Q1, FR_rsq, FR_r // poly_hi = Q1*rsq + r
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+(p11) fms.s1    FR_poly_hi    = FR_Q1, FR_rsq, FR_r // poly_hi = Q1*rsq + r
+      nop.i 0
+};;
+
+
+.pred.rel "mutex",p12,p11
+{ .mfi
+      nop.m 0
+(p12) fma.s1    FR_poly_lo    = FR_poly_lo, FR_rcub, FR_h//poly_lo=poly_lo*r^3+h
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+(p11) fms.s1    FR_poly_lo    = FR_poly_lo, FR_rcub, FR_h//poly_lo=poly_lo*r^3+h
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      fadd.s0   FR_Y_lo       = FR_poly_hi, FR_poly_lo  // Y_lo=poly_hi+poly_lo
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+(p11) fma.s0    FR_Y_hi       = FR_Y_hi, FR_Neg_One, f0 // FR_Y_hi sign for neg
+      nop.i 0
+};;
+
+{ .mfb
+      nop.m 0
+      fadd.s0   FR_Res        = FR_Y_lo,FR_Y_hi    // Result=Y_lo+Y_hi
+      br.ret.sptk   b0                         // Common exit for 2^-7 < x < inf
+};;
+
+// NEAR ZERO POLYNOMIAL INTERVAL
+near_0:
+{ .mfi
+      nop.m 0
+      fma.s1    FR_X4         = FR_X2, FR_X2, f0 // x^4 = x^2 * x^2
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      fma.s1    FR_P9         = FR_C9,FR_X2,FR_C7  // p9 = C9*x^2 + C7
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+      fma.s1    FR_P5         = FR_C5,FR_X2,FR_C3  // p5 = C5*x^2 + C3
+      nop.i 0
+};;
+
+{ .mfi
+      nop.m 0
+      fma.s1    FR_P3         = FR_P9,FR_X4,FR_P5  // p3 = p9*x^4 + p5
+      nop.i 0
+};;
+
+{ .mfb
+      nop.m 0
+      fma.s0    FR_Res        = FR_P3,FR_X3,FR_Arg // res = p3*C3 + x
+      br.ret.sptk   b0                          // Near 0 path return
+};;
+
+GLOBAL_LIBM_END(asinhl)
+
+
diff --git a/sysdeps/ia64/fpu/s_atan.S b/sysdeps/ia64/fpu/s_atan.S
index c0daabd3d7..720ecad28a 100644
--- a/sysdeps/ia64/fpu/s_atan.S
+++ b/sysdeps/ia64/fpu/s_atan.S
@@ -1,10 +1,10 @@
 .file "atan.s"
 
-// Copyright (C) 2000, 2001, Intel Corporation
+
+// Copyright (c) 2000 - 2003, Intel Corporation
 // All rights reserved.
-// 
-// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story,
-// and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
 //
 // Redistribution and use in source and binary forms, with or without
 // modification, are permitted provided that the following conditions are
@@ -20,947 +20,734 @@
 // * The name of Intel Corporation may not be used to endorse or promote
 // products derived from this software without specific prior written
 // permission.
-//
-// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
-// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
-// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS 
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
 // CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
-// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, 
-// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 
-// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY 
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
 // OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
-// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 
-// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 
-// 
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+//
 // Intel Corporation is the author of this code, and requests that all
-// problem reports or change requests be submitted to it directly at 
-// http://developer.intel.com/opensource.
+// problem reports or change requests be submitted to it directly at
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
 //
 // History
 //==============================================================
-// 2/02/00: Initial version
-// 4/13/00: Improved speed
-// 4/19/00: Removed the qualifying predicate from the fmerge.s that
-//          takes the absolute value.
-// 6/16/00: Reassigned FP registers to eliminate stalls on loads
-// 8/30/00: Saved 5 cycles in main path by rearranging large argument logic
-//          and delaying use of result of fcmp in load by 1 group
+// 02/02/00  Initial version
+// 04/13/00  Improved speed
+// 04/19/00  Removed the qualifying predicate from the fmerge.s that
+//           takes the absolute value.
+// 06/16/00  Reassigned FP registers to eliminate stalls on loads
+// 08/30/00  Saved 5 cycles in main path by rearranging large argument logic
+//           and delaying use of result of fcmp in load by 1 group
+// 05/20/02  Cleaned up namespace and sf0 syntax
+// 08/20/02  Use atan2 algorithm with x=1 for better accuracy
+// 02/06/03  Reordered header: .section, .global, .proc, .align
 //
 // API
 //==============================================================
-// double atan( double x);
+// double atan(double Y)
 //
 // Overview of operation
 //==============================================================
-// atan(x) = sign(X)pi/2 - atan(1/x)
 //
-// We have two paths: |x| > 1 and |x| <= 1
+// The atan function returns values in the interval [-pi/2,+pi/2].
 //
-// |x| >  1
-// ==========================================
+// The algorithm used is the atan2(Y,X) algorithm where we fix X=1.0.
 //
-// c  = frcpa(x) which is approximately 1/x
+// There are two basic paths: swap true and swap false.
+// atan2(Y,X) ==> atan2(V/U) where U >= V. If Y > X, we must swap.
 //
-// xc = 1- B
-// B  = 1-xc
+// p6  swap True    |Y| > |X|
+// p7  swap False   |Y| <= |X|
 //
-// Approximate 1/(1-B)^k by a polynomial in B, poly(B)
-// k is 45.
 //
-// poly(B)     = 1 + r1 B + r2 B^2 + ...+ r10 B^10
+// Simple trigonometric identities show
+//   Region 1
+//         |Y|<=1.0, V=Y, U=1.0     atan2(Y,X) = sgnY * (0 + atan(V/U))
 //
-// c^k         = (1-B)^k/x^k
-// c^k/(1-B)^k = 1/x^k 
-// c^k poly(B) = 1/x^k
-
-// poly(x)     = series(atan(1/x)) = 1/x - 1/3x^3 + 1/5x^5 - 1/7x^7 .... + 1/45 x^45
-//                                 = 1/x^45 ( x^44 - x^42/3 + x^40/5 - x^38/7 ... +1)
-//                                 = 1/x^45 ( y^22 - y^21/3 + y^20/5 - y^19/7 ... +1)
-//        
-//                                 = c^45 poly(B) poly(x)
-//                                 = c^45 r(B) q(y)
-
-// q(y) = q0 + q1 y + q2 y^2 + ... + q22 y^22
-// where q22 is 1.0
-
-// atan(x) = sign(X)pi/2 -  c^45 r(B) q(y)
-
-// |x| <=  1
-// ==========================================
-// poly(x)    = series(atan(x))   = x - x^3/3 + x^5/5 + .....
-// poly(x)    = series(atan(x))   = x  + x^3(- 1/3 + x^2/5 + ..... +x^47/47)
-// poly(x)    = series(atan(x))   = x  + x^3(p0 + x^2/5 + ..... + x^44/47)
-// poly(x)    = series(atan(x))   = x  + x^3(p0 + y/5 + ..... + y^22/47)
-   
-// where p0 is about -1/3.
-
-// atan(x) = poly(x)
-
-#include "libm_support.h"
+//   Region 2
+//         |Y|>1.0, V=1.0, U=Y      atan2(Y,X) = sgnY * (pi/2 - atan(V/U))
+//
+//
+// We compute atan(V/U) from the identity
+//      atan(z) + atan([(V/U)-z] / [1+(V/U)z])
+//      where z is a limited precision approximation (16 bits) to V/U
+//
+// z is calculated with the assistance of the frcpa instruction.
+//
+// atan(z) is calculated by a polynomial z + z^3 * p(w),  w=z^2
+// where p(w) = P0+P1*w+...+P22*w^22
+//
+// Let d = [(V/U)-z] / [1+(V/U)z]) = (V-U*z)/(U+V*z)
+//
+// Approximate atan(d) by d + P0*d^3
+// Let F = 1/(U+V*z) * (1-a), where |a|< 2^-8.8.
+// Compute q(a) = 1 + a + ... + a^5.
+// Then F*q(a) approximates the reciprocal to more than 50 bits.
 
-// Special Values
+// Special values
 //==============================================================
 // atan(QNAN)  = QNAN
 // atan(SNAN)  = quieted SNAN
-// atan(+-inf) = +- pi/2     
+// atan(+-inf) = +- pi/2
 // atan(+-0)   = +-0
 
-
-
 // Registers used
 //==============================================================
 
-// predicate registers used: 
-// p6 -> p11
+// predicate registers used:
+// p6 -> p15
 
-// floating-point registers used:  
-// f32 -> f127
+// floating-point registers used:
+// f8, input
+// f32 -> f116
 
 // general registers used
-// r32 -> r37
+// r14 -> r16
 
 // Assembly macros
 //==============================================================
-atan_Pi_by_2                  = f32
-atan_S_PI                     = f33
-atan_ABS_f8                   = f34
-
-atan_R0                       = f35
-atan_R1                       = f36
-atan_R2                       = f37
-atan_R3                       = f38 
-atan_R4                       = f39 
-atan_R5                       = f40 
-atan_R6                       = f41
-atan_R7                       = f42
-atan_R8                       = f43 
-atan_R9                       = f44 
-atan_R10                      = f45 
-
-atan_Q0                       = f46
-
-atan_Q1                       = f47 
-atan_Q2                       = f48
-atan_Q3                       = f49
-atan_Q4                       = f50
-atan_Q5                       = f51 
-atan_Q6                       = f52 
-atan_Q7                       = f53 
-atan_Q8                       = f54 
-atan_Q9                       = f55 
-atan_Q10                      = f56 
-
-atan_Q11                      = f57 
-atan_Q12                      = f58
-atan_Q13                      = f59
-atan_Q14                      = f60
-atan_Q15                      = f61 
-atan_Q16                      = f62 
-atan_Q17                      = f63 
-atan_Q18                      = f64 
-atan_Q19                      = f65 
-atan_Q20                      = f66 
-atan_Q21                      = f67 
-atan_Q22                      = f68 
-
-// P and Q constants are mutually exclusive 
-// so they can share macro definitions
-atan_P0                       = f46
-
-atan_P1                       = f47 
-atan_P2                       = f48
-atan_P3                       = f49
-atan_P4                       = f10
-atan_P5                       = f11 
-atan_P6                       = f12 
-atan_P7                       = f13 
-atan_P10                      = f103 
-
-atan_P11                      = f114 
-atan_P12                      = f58
-atan_P13                      = f59
-atan_P14                      = f60
-atan_P15                      = f61 
-atan_P16                      = f62 
-atan_P17                      = f63 
-atan_P18                      = f64 
-atan_P19                      = f65 
-atan_P20                      = f14 
-atan_P21                      = f99 
-atan_P22                      = f68 
-// end of P constant macros
-
-atan_C                        = f69
-atan_Y                        = f70
-atan_B                        = f71
-atan_Z                        = f72
-atan_V11                      = f73
-atan_V12                      = f74
-
-atan_V7                       = f75
-atan_V8                       = f76
-
-atan_W13                      = f77
-atan_W11                      = f78
-
-atan_V3                       = f79
-atan_V4                       = f80
-
-atan_G11                      = f81
-atan_G12                      = f82
-atan_G7                       = f83
-atan_G8                       = f84
-
-atan_Z1                       = f85
-atan_W7                       = f86
-
-atan_G3                       = f87
-atan_W8                       = f88
-atan_V9                       = f89
-atan_V10                      = f90
-
-atan_G10                      = f91
-atan_W3                       = f92
-atan_G4                       = f93
-atan_G9                       = f94
-                                
-atan_G6                       = f95
-atan_W4                       = f96
-atan_Z2                       = f97
-atan_V6                       = f98
-                              
-atan_V2                       = f99
-atan_W6                       = f100
-atan_W10                      = f101
-atan_Y3                       = f102
-                              
-atan_G2                       = f103
-
-atan_Y8                       = f104
-                              
-atan_G5                       = f105
-atan_Z3                       = f106
-atan_Z4                       = f107
-atan_W2                       = f108
-atan_V5                       = f109
-                            
-atan_W5                       = f110
-atan_G1                       = f111
-atan_Y11                      = f112
-                             
-atan_Z5                       = f113
-atan_Z6                       = f114
-atan_V1                       = f115
-atan_W1                       = f116
-                              
-atan_Z7                       = f117
-atan_Q                        = f118
-atan_Z                        = f119
-atan_abs_f8                   = f120                            
-
-atan_V13                      = f121
-atan_Xcub                     = f122
-atan_Y12                      = f123
-atan_P                        = f124
-
-atan_NORM_f8                  = f125
-
-atan_P8                       = f126
-atan_P9                       = f127
-
-
-
-
-atan_GR_AD_R                 = r14
-atan_GR_AD_Q                 = r15
-atan_GR_AD_P                 = r16
-atan_GR_10172                = r17 
-atan_GR_exp_f8               = r18 
-atan_GR_signexp_f8           = r19
-atan_GR_exp_mask             = r20
-
-
 
+EXP_AD_P1                    = r14
+EXP_AD_P2                    = r15
+rsig_near_one                = r16
+
+atan2_Y                      = f8
+atan2_X                      = f1
+
+atan2_u1_X                   = f32
+atan2_u1_Y                   = f33
+atan2_z2_X                   = f34
+
+atan2_two                    = f36
+atan2_B1sq_Y                 = f37
+atan2_z1_X                   = f38
+atan2_B1X                    = f40
+
+atan2_B1Y                    = f41
+atan2_wp_X                   = f42
+atan2_B1sq_X                 = f43
+atan2_z                      = f44
+atan2_w                      = f45
+
+atan2_P0                     = f46
+atan2_P1                     = f47
+atan2_P2                     = f48
+atan2_P3                     = f49
+atan2_P4                     = f50
+
+atan2_P5                     = f51
+atan2_P6                     = f52
+atan2_P7                     = f53
+atan2_P8                     = f54
+atan2_P9                     = f55
+
+atan2_P10                    = f56
+atan2_P11                    = f57
+atan2_P12                    = f58
+atan2_P13                    = f59
+atan2_P14                    = f60
+
+atan2_P15                    = f61
+atan2_P16                    = f62
+atan2_P17                    = f63
+atan2_P18                    = f64
+atan2_P19                    = f65
+
+atan2_P20                    = f66
+atan2_P21                    = f67
+atan2_P22                    = f68
+atan2_pi_by_2                = f69
+atan2_sgn_pi_by_2            = f69
+atan2_V13                    = f70
+
+atan2_W11                    = f71
+atan2_E                      = f72
+atan2_wp_Y                   = f73
+atan2_V11                    = f74
+atan2_V12                    = f75
+
+atan2_V7                     = f76
+atan2_V8                     = f77
+atan2_W7                     = f78
+atan2_W8                     = f79
+atan2_W3                     = f80
+
+atan2_W4                     = f81
+atan2_V3                     = f82
+atan2_V4                     = f83
+atan2_F                      = f84
+atan2_gV                     = f85
+
+atan2_V10                    = f86
+atan2_zcub                   = f87
+atan2_V6                     = f88
+atan2_V9                     = f89
+atan2_W10                    = f90
+
+atan2_W6                     = f91
+atan2_W2                     = f92
+atan2_V2                     = f93
+atan2_alpha                  = f94
+atan2_alpha_1                = f95
+
+atan2_gVF                    = f96
+atan2_V5                     = f97
+atan2_W12                    = f98
+atan2_W5                     = f99
+atan2_alpha_sq               = f100
+
+atan2_Cp                     = f101
+atan2_V1                     = f102
+atan2_ysq                    = f103
+atan2_W1                     = f104
+atan2_alpha_cub              = f105
+
+atan2_C                      = f106
+atan2_d                      = f108
+atan2_A_hi                   = f109
+atan2_dsq                    = f110
+
+atan2_pd                     = f111
+atan2_A_lo                   = f112
+atan2_A                      = f113
+atan2_Pp                     = f114
+atan2_sgnY                   = f115
+
+atan2_sig_near_one           = f116
+atan2_near_one               = f116
 
 /////////////////////////////////////////////////////////////
 
 
-#ifdef _LIBC
-.rodata
-#else
-.data
-#endif
+RODATA
 
 .align 16
 
-double_atan_constants_R:
-ASM_TYPE_DIRECTIVE(double_atan_constants_R,@object)
-   data8 0xB36B46B9C5443CED, 0x0000401C  //R8
-   data8 0x842633E0D126261F, 0x0000401F  //R9
-   data8 0xBE04FFFFFFFF46E0, 0x00004010  //R4
-   data8 0xE8C62000244D66E2, 0x00004013  //R5
-   data8 0xF2790C001E3789B3, 0x00004016  //R6
-   data8 0xDCD2CCF97D7C764F, 0x00004019  //R7
-   data8 0xB40000000000000B, 0x00004004  //R1
-   data8 0xB265F3D38F5EE28F, 0x00004021  //R10
-   data8 0x8160000000000001, 0x00004009  //R2
-   data8 0xFD5BFFFFFFFE55CD, 0x0000400C  //R3
-   data8 0xC90FDAA22168C235, 0x00003FFF  // pi/2
-ASM_SIZE_DIRECTIVE(double_atan_constants_R)
-
-double_atan_constants_Q:
-ASM_TYPE_DIRECTIVE(double_atan_constants_Q,@object)
-   data8 0xEBD602FA7761BC33, 0x00003FF9  //Q8
-   data8 0x8CB1CABD6A91913C, 0x0000BFFA  //Q9
-   data8 0x84C665C37D623CD2, 0x00003FF7  //Q4
-   data8 0x8DE0D1673DAEA9BC, 0x0000BFF8  //Q5
-   data8 0xF658ADBE2C6E6FCC, 0x00003FF8  //Q6
-
-   data8 0xB56307BE1DD3FFB6, 0x0000BFF9  //Q7
-   data8 0xAAAAAAAAAAAA8000, 0x0000BFFD  //Q21
-   data8 0x8000000000000000, 0x00003FFF  //Q22
-   data8 0x924924923A9D710C, 0x0000BFFC  //Q19
-   data8 0xCCCCCCCCCC9380E7, 0x00003FFC  //Q20
- 
-   data8 0xA644DC250EFA2800, 0x00003FED  //Q0
-   data8 0x83DEAE24EEBF5E44, 0x0000BFF1  //Q1
-   data8 0xC758CCC64793D4EC, 0x00003FF3  //Q2
-   data8 0xBFDC0B54E7C89DCE, 0x0000BFF5  //Q3
-   data8 0x888855199D1290AF, 0x0000BFFB  //Q15
-
-   data8 0x9D89D3BE514B0178, 0x00003FFB  //Q16
-   data8 0xBA2E8B4DEC70282A, 0x0000BFFB  //Q17
-   data8 0xE38E38DF9E9FC83B, 0x00003FFB  //Q18
-   data8 0x9F8781CC990029D9, 0x00003FFA  //Q10
-   data8 0xB0B39472DEBA3C79, 0x0000BFFA  //Q11
-
-   data8 0xC2AFAEF8C85B0BC6, 0x00003FFA  //Q12
-   data8 0xD780E539797525DD, 0x0000BFFA  //Q13
-   data8 0xF0EDC449AC786DF9, 0x00003FFA  //Q14
-ASM_SIZE_DIRECTIVE(double_atan_constants_Q)
-
-
-
-double_atan_constants_P:
-ASM_TYPE_DIRECTIVE(double_atan_constants_P,@object)
-   data8 0xB1899EC590CDB8DF, 0x0000BFFA //P10
-   data8 0xA1E79850A67D59B0, 0x00003FFA //P11
-   data8 0x911D8B30C2A96E6D, 0x0000BFF3 //P20
-   data8 0xB87233C68A640706, 0x00003FF0 //P21
-   data8 0xD78E4B82F3C29D7A, 0x0000BFFA //P8
-
-   data8 0xC2EBE37AF932C14F, 0x00003FFA //P9
-   data8 0xBA2E8B94AA104DD6, 0x0000BFFB //P4
-   data8 0x9D89D7A640B71D38, 0x00003FFB //P5
-   data8 0x88887CA2CE9B2A40, 0x0000BFFB //P6
-   data8 0xF0F017D57A919C1E, 0x00003FFA //P7
-
-   data8 0xD0D635F230C80E06, 0x0000BFF8 //P16
-   data8 0xE847BECA7209B479, 0x00003FF7 //P17
-   data8 0xD14C6A2AAE0D5B07, 0x0000BFF6 //P18
-   data8 0x915F612A5C469117, 0x00003FF5 //P19
-   data8 0x921EDE5FD0DBBBE2, 0x0000BFFA //P12
-
-   data8 0xFFD303C2C8535445, 0x00003FF9 //P13
-   data8 0xD30DF50E295386F7, 0x0000BFF9 //P14
-   data8 0x9E81F2B1BBD210A8, 0x00003FF9 //P15
-   data8 0xAAAAAAAAAAAAA800, 0x0000BFFD //P0
-   data8 0xCCCCCCCCCCC7D476, 0x00003FFC //P1
-
-   data8 0x9249249247838066, 0x0000BFFC //P2
-   data8 0xE38E38E302290D68, 0x00003FFB //P3
-   data8 0xDF7F0A816F7E5025, 0x0000BFEC //P22
-ASM_SIZE_DIRECTIVE(double_atan_constants_P)
-
-
-.align 32
-.global atan#
-
-////////////////////////////////////////////////////////
-
+LOCAL_OBJECT_START(atan2_tb1)
+data8 0xA21922DC45605EA1 ,  0x00003FFA // P11
+data8 0xB199DD6D2675C40F ,  0x0000BFFA // P10
+data8 0xC2F01E5DDD100DBE ,  0x00003FFA // P9
+data8 0xD78F28FC2A592781 ,  0x0000BFFA // P8
+data8 0xF0F03ADB3FC930D3 ,  0x00003FFA // P7
+data8 0x88887EBB209E3543 ,  0x0000BFFB // P6
+data8 0x9D89D7D55C3287A5 ,  0x00003FFB // P5
+data8 0xBA2E8B9793955C77 ,  0x0000BFFB // P4
+data8 0xE38E38E320A8A098 ,  0x00003FFB // P3
+data8 0x9249249247E37913 ,  0x0000BFFC // P2
+data8 0xCCCCCCCCCCC906CD ,  0x00003FFC // P1
+data8 0xAAAAAAAAAAAAA8A9 ,  0x0000BFFD // P0
+data8 0x0000000000000000 ,  0x00000000 // pad to avoid bank conflict
+LOCAL_OBJECT_END(atan2_tb1)
+
+LOCAL_OBJECT_START(atan2_tb2)
+data8 0xCE585A259BD8374C ,  0x00003FF0 // P21
+data8 0x9F90FB984D8E39D0 ,  0x0000BFF3 // P20
+data8 0x9D3436AABE218776 ,  0x00003FF5 // P19
+data8 0xDEC343E068A6D2A8 ,  0x0000BFF6 // P18
+data8 0xF396268151CFB11C ,  0x00003FF7 // P17
+data8 0xD818B4BB43D84BF2 ,  0x0000BFF8 // P16
+data8 0xA2270D30A90AA220 ,  0x00003FF9 // P15
+data8 0xD5F4F2182E7A8725 ,  0x0000BFF9 // P14
+data8 0x80D601879218B53A ,  0x00003FFA // P13
+data8 0x9297B23CCFFB291F ,  0x0000BFFA // P12
+data8 0xFE7E52D2A89995B3 ,  0x0000BFEC // P22
+data8 0xC90FDAA22168C235 ,  0x00003FFF // pi/2
+LOCAL_OBJECT_END(atan2_tb2)
 
 
-.section .text
-.proc  atan#
-.align 32
 
-atan: 
-
-{ .mmf
-(p0)  addl      atan_GR_AD_P   = @ltoff(double_atan_constants_P), gp
-(p0)  addl      atan_GR_AD_Q   = @ltoff(double_atan_constants_Q), gp
-(p0)  fmerge.s  atan_ABS_f8  = f0,f8                       
-}
-;;
 
-{ .mmf
-      ld8 atan_GR_AD_P = [atan_GR_AD_P]
-      ld8 atan_GR_AD_Q = [atan_GR_AD_Q]
-(p0)  frcpa.s1     atan_C,p8 = f1,f8                                  
-}
-;;
+.section .text
+GLOBAL_LIBM_ENTRY(atan)
 
-{ .mmf
-(p0)  addl      atan_GR_AD_R   = @ltoff(double_atan_constants_R), gp
-(p0)  addl      atan_GR_exp_mask = 0x1ffff, r0
-(p0)  fma.s1       atan_Y = f8,f8,f0                                  
+{ .mfi
+           nop.m 999
+           frcpa.s1     atan2_u1_Y,p7 = f1,atan2_Y
+           nop.i 999
 }
+{ .mfi
+           addl         EXP_AD_P1   = @ltoff(atan2_tb1), gp
+           fma.s1       atan2_two  = f1,f1,f1
+           nop.i 999
 ;;
-
-// This fnorm takes faults or sets fault flags
-{ .mmf
-(p0)  mov       atan_GR_10172 = 0x10172
-      ld8 atan_GR_AD_R = [atan_GR_AD_R]
-(p0)  fnorm     atan_NORM_f8  = f8
 }
-;;
-
-
-// qnan snan inf norm     unorm 0 -+
-// 1    1    0   0        0     1 11
-// c                      7
-
-// p9 set if we have a NAN or +-0
 
-{ .mmf
-(p0)  ldfe      atan_Q8  = [atan_GR_AD_Q],16 
-(p0)  ldfe      atan_P10    = [atan_GR_AD_P],16                   
-(p0)  fclass.m.unc p9, p0   = f8, 0xc7                         
+{ .mfi
+           ld8  EXP_AD_P1 = [EXP_AD_P1]
+           frcpa.s1     atan2_u1_X,p6 = f1,atan2_X
+           nop.i 999
 }
-;;
-
-
-{ .mmi
-(p0)  ldfe      atan_Q9  = [atan_GR_AD_Q],16 
-(p0)  ldfe      atan_P11    = [atan_GR_AD_P],16                   
-      nop.i 999   
+{ .mfi
+           nop.m 999
+           fma.s1       atan2_ysq  = atan2_Y,atan2_Y,f0
+           nop.i 999
 }
 ;;
 
-        
-{ .mmf
-(p0)  ldfe      atan_Q4      = [atan_GR_AD_Q],16 
-(p0)  ldfe      atan_P20     = [atan_GR_AD_P],16                   
-(p9)  fma.d.s0  f8          = f8,f1,f0
-;;
-}
-
-// Exit if we have a NAN or +-0
-{ .mmb
-(p0)  ldfe      atan_Q5     = [atan_GR_AD_Q],16 
-(p0)  ldfe      atan_P21    = [atan_GR_AD_P],16                   
-(p9)  br.ret.spnt b0
-;;
+{ .mfi
+           add  EXP_AD_P2 = 0xd0,EXP_AD_P1
+           fmerge.s     atan2_sgnY = atan2_Y,f1
+           nop.i 999
 }
-
-
-// p6 is TRUE if |x| <= 1
-// p7 is TRUE if |x| >  1
-{ .mmf
-(p0)  ldfe      atan_Q6  = [atan_GR_AD_Q],16 
-(p0)  ldfe      atan_P8  = [atan_GR_AD_P],16                   
-(p0)  fcmp.le.unc  p6,p7 = atan_ABS_f8, f1 
 ;;
-}
 
 
 { .mfi
-(p0)  ldfe         atan_Q7  = [atan_GR_AD_Q],16 
-(p0)  fma.s1       atan_Z   = atan_C, atan_C, f0                        
-      nop.i 999   
+           ldfe         atan2_P11  = [EXP_AD_P1],16
+           fclass.m p10,p0 = atan2_Y, 0xc3     // Test for y=nan
+           nop.i 999
 }
 { .mfi
-(p0)  ldfe         atan_P9  = [atan_GR_AD_P],16                   
-(p0)  fnma.s1      atan_B   = atan_C,f8, f1                             
-      nop.i 999    ;;
+           ldfe         atan2_P21  = [EXP_AD_P2],16
+           nop.f 999
+           nop.i 999
+;;
 }
 
 
 { .mfi
-(p0)  ldfe         atan_Q21  = [atan_GR_AD_Q],16 
-(p0)  fma.s1       atan_V12  = atan_Y, atan_Y, f0                      
-      nop.i 999   
+           ldfe         atan2_P10  = [EXP_AD_P1],16
+           fnma.s1      atan2_B1Y  = atan2_u1_Y, atan2_Y, atan2_two
+           nop.i 999
 }
 { .mfi
-(p0)  ldfe         atan_P4    = [atan_GR_AD_P],16                   
-(p0)  fma.s1       atan_Xcub  = f8, atan_Y  , f0                        
-      nop.i 999   
-;;
-}
-
-
-{ .mmi
-(p7)  ldfe      atan_Q22         = [atan_GR_AD_Q],16 
-(p6)  ldfe      atan_P5          = [atan_GR_AD_P],16                   
-(p6)  cmp.eq.unc  p8,p0 = r0,r0
-;;
-}
-
-
-{ .mmi
-(p7)  ldfe      atan_Q19   = [atan_GR_AD_Q],16 
-(p6)  ldfe      atan_P6    = [atan_GR_AD_P],16                   
-(p7)  cmp.eq.unc  p9,p0 = r0,r0
-;;
-}
-
-
-{ .mmi
-(p7)  ldfe      atan_Q20  = [atan_GR_AD_Q],16 
-(p6)  ldfe      atan_P7    = [atan_GR_AD_P],16                   
-      nop.i 999   
+           ldfe         atan2_P20  = [EXP_AD_P2],16
+           fma.s1       atan2_wp_Y   = atan2_u1_Y, atan2_u1_Y, f0
+           nop.i 999
 ;;
 }
 
 { .mfi
-(p7)  ldfe      atan_Q0  = [atan_GR_AD_Q],16 
-(p6)  fma.s1       atan_V13 = atan_Y, atan_P11, atan_P10              
-      nop.i 999   
+           ldfe         atan2_P9   = [EXP_AD_P1],16
+           fma.s1       atan2_z1_X = atan2_u1_X, atan2_Y, f0
+           nop.i 999
 }
 { .mfi
-(p6)  ldfe      atan_P16    = [atan_GR_AD_P],16                   
-(p7)  fma.s1       atan_V11 = atan_Y, atan_Q9, atan_Q8                
-      nop.i 999    ;;
+           ldfe         atan2_P19  = [EXP_AD_P2],16
+           fnma.s1      atan2_B1X  = atan2_u1_X, atan2_X, atan2_two
+           nop.i 999
 }
-
+;;
 
 { .mfi
-(p7)  ldfe      atan_Q1  = [atan_GR_AD_Q],16 
-(p7)  fma.s1       atan_G12 = atan_B, atan_B, f0                      
-      nop.i 999   
+           ldfe         atan2_P8   = [EXP_AD_P1],16
+           fma.s1       atan2_z2_X = atan2_u1_X, atan2_ysq, f0
+           nop.i 999
 }
-{ .mfi
-(p6)  ldfe      atan_P17    = [atan_GR_AD_P],16                   
-(p0)  fma.s1       atan_V9  = atan_V12, atan_V12, f0                  
-      nop.i 999    ;;
+{ .mfb
+           ldfe         atan2_P18  = [EXP_AD_P2],16
+(p10)      fma.d.s0 f8 = atan2_Y,atan2_X,f0   // If y=nan, result quietized y
+(p10)      br.ret.spnt b0        // Exit if y=nan
 }
+;;
 
-
+// p6 true if swap,    means |y| >  1.0    or ysq > 1.0
+// p7 true if no swap, means 1.0 >= |y|    or 1.0 >= ysq
 { .mfi
-(p7)  ldfe      atan_Q2  = [atan_GR_AD_Q],16 
-(p6)  fma.s1       atan_W11 = atan_Y, atan_P21, atan_P20              
-      nop.i 999   
+           ldfe         atan2_P7   = [EXP_AD_P1],16
+           fcmp.ge.s1 p7,p6    = f1, atan2_ysq
+           nop.i 999
 }
-{ .mfi
-(p6)  ldfe      atan_P18    = [atan_GR_AD_P],16                   
-(p7)  fma.s1       atan_V7  = atan_Y, atan_Q5, atan_Q4                
-      nop.i 999    ;;
+{ .mmf
+           ldfe         atan2_P17  = [EXP_AD_P2],16
+           nop.m 999
+           nop.f 999
 }
+;;
 
 { .mfi
-(p7)  ldfe      atan_Q3  = [atan_GR_AD_Q],16 
-(p7)  fma.s1    atan_Z1  = atan_Z, atan_Z, f0                      
-      nop.i 999   
+           ldfe         atan2_P6   = [EXP_AD_P1],16
+           fma.s1       atan2_E         = atan2_u1_Y, atan2_B1Y, atan2_Y
+           nop.i 999
 }
 { .mfi
-(p6)  ldfe      atan_P19    = [atan_GR_AD_P],16                   
-(p7)  fma.s1       atan_Y3  = atan_Y  , atan_V12, f0                  
-      nop.i 999    ;;
+           ldfe         atan2_P16  = [EXP_AD_P2],16
+           fma.s1       atan2_B1sq_Y = atan2_B1Y, atan2_B1Y, f0
+           nop.i 999
+;;
 }
 
 { .mfi
-(p7)  ldfe      atan_R8  = [atan_GR_AD_R],16 
-(p6)  fma.s1       atan_V11 = atan_Y, atan_P9, atan_P8                
-      nop.i 999   
+           ldfe         atan2_P5   = [EXP_AD_P1],16
+(p7)       fma.s1       atan2_wp_X   = atan2_z1_X, atan2_z1_X, f0
+           nop.i 999
 }
 { .mfi
-(p6)  ldfe      atan_P12    = [atan_GR_AD_P],16                   
-(p7)  fma.s1       atan_V8  = atan_Y, atan_Q7, atan_Q6                
-      nop.i 999    ;;
-}
-
-{ .mmi
-(p7)  ldfe      atan_R9     = [atan_GR_AD_R],16 
-(p6)  ldfe      atan_P13    = [atan_GR_AD_P],16                   
-      nop.i 999   
+           ldfe         atan2_P15       = [EXP_AD_P2],16
+(p7)       fma.s1       atan2_B1sq_X = atan2_B1X, atan2_B1X, f0
+           nop.i 999
 ;;
 }
 
 { .mfi
-(p7)  ldfe      atan_R4  = [atan_GR_AD_R],16 
-(p6)  fma.s1    atan_V7  = atan_Y, atan_P5, atan_P4                 
-      nop.i 999   
+           ldfe         atan2_P4   = [EXP_AD_P1],16
+(p6)       fma.s1       atan2_z         = atan2_u1_Y, atan2_B1Y, f0
+           nop.i 999
 }
 { .mfi
-(p6)  ldfe      atan_P14    = [atan_GR_AD_P],16                   
-(p7)  fma.s1       atan_W13 = atan_Y, atan_Q22, atan_Q21              
-      nop.i 999    ;;
+           ldfe         atan2_P14  = [EXP_AD_P2],16
+(p7)       fma.s1       atan2_E         = atan2_z2_X, atan2_B1X, atan2_X
+           nop.i 999
+;;
 }
 
 
 { .mfi
-(p7)  ldfe      atan_R5  = [atan_GR_AD_R],16 
-(p6)  fma.s1    atan_Y12 = atan_V9 , atan_V9 , f0                   
-      nop.i 999   
+           ldfe         atan2_P3        = [EXP_AD_P1],16
+           fcmp.eq.s0  p14,p15=atan2_X,atan2_Y  // Dummy for denorm and invalid
+           nop.i 999
 }
-{ .mfi
-(p6)  ldfe      atan_P15    = [atan_GR_AD_P],16                   
-(p7)  fma.s1    atan_Y8 = atan_V9 , atan_V9 , f0                   
-      nop.i 999    ;;
+{ .mmf
+           ldfe         atan2_P13  = [EXP_AD_P2],16
+           nop.m 999
+(p7)       fma.s1       atan2_z         = atan2_z1_X, atan2_B1X, f0
+;;
 }
 
-
 { .mfi
-(p7)  ldfe      atan_R6  = [atan_GR_AD_R],16 
-(p6)  fma.s1    atan_V8  = atan_Y, atan_P7, atan_P6                 
-      nop.i 999   
+           ldfe         atan2_P2        = [EXP_AD_P1],16
+(p6)       fma.s1       atan2_w         = atan2_wp_Y, atan2_B1sq_Y,f0
+           nop.i 999
 }
-{ .mfi
-(p6)  ldfe      atan_P0     = [atan_GR_AD_P],16                   
-(p7)  fma.s1       atan_W11 = atan_Y, atan_Q20, atan_Q19              
-      nop.i 999    ;;
+{ .mlx
+           ldfe         atan2_P12  = [EXP_AD_P2],16
+           movl         rsig_near_one = 0x8000000000000001 // signif near 1.0
+;;
 }
 
-
 { .mfi
-(p7)  ldfe      atan_R7  = [atan_GR_AD_R],16 
-(p7)  fma.s1    atan_Z2  = atan_Z1 , atan_Z1,  f0                  
-      nop.i 999   
+           ldfe         atan2_P1        = [EXP_AD_P1],16
+           fclass.m p9,p0 = atan2_Y, 0x23  // test if y inf
+           nop.i 999
 }
 { .mfi
-(p6)  ldfe      atan_P1     = [atan_GR_AD_P],16                   
-(p6)  fma.s1       atan_V10 = atan_V12, atan_V13, atan_V11             
-      nop.i 999    ;;
+           ldfe         atan2_P22       = [EXP_AD_P2],16
+(p7)       fma.s1       atan2_w         = atan2_wp_X, atan2_B1sq_X,f0
+           nop.i 999
+;;
 }
 
 { .mfi
-(p7)  ldfe      atan_Q15 = [atan_GR_AD_Q],16 
-(p6)  fma.s1    atan_W7  = atan_Y, atan_P17, atan_P16               
-      nop.i 999   
+           ldfe         atan2_P0        = [EXP_AD_P1],16
+           frcpa.s1     atan2_F,p0     = f1, atan2_E
+           nop.i 999
 }
 { .mfi
-(p6)  ldfe      atan_P2     = [atan_GR_AD_P],16                   
-(p7)  fma.s1       atan_V3  = atan_Y, atan_Q1 , atan_Q0               
-      nop.i 999    ;;
+           ldfe         atan2_pi_by_2   = [EXP_AD_P2],16
+(p6)       fnma.s1       atan2_gV        = atan2_Y, atan2_z, atan2_X
+           nop.i 999
+;;
 }
 
 { .mfi
-(p7)  ldfe      atan_Q16 = [atan_GR_AD_Q],16 
-(p7)  fma.s1    atan_G9  = atan_G12, atan_G12, f0                  
-      nop.i 999   
+           setf.sig      atan2_sig_near_one = rsig_near_one
+(p7)       fnma.s1       atan2_gV        = atan2_X, atan2_z, atan2_Y
+           nop.i 999
 }
-{ .mfi
-(p6)  ldfe      atan_P3     = [atan_GR_AD_P],16                   
-(p7)  fma.s1       atan_V6  = atan_V12, atan_V8,  atan_V7             
-      nop.i 999    ;;
+{ .mfb
+           nop.m 999
+(p9)       fma.d.s0  f8 = atan2_sgnY, atan2_pi_by_2, f0  // +-pi/2 if y inf
+(p9)       br.ret.spnt b0      // exit if y inf, result is +-pi/2
+;;
 }
 
-
 { .mfi
-(p7)  ldfe      atan_R1     = [atan_GR_AD_R],16 
-(p6)  fma.s1       atan_W8  = atan_Y, atan_P19, atan_P18               
-      nop.i 999   
+           nop.m 999
+           fma.s1       atan2_V13       = atan2_w, atan2_P11, atan2_P10
+           nop.i 999
 }
 { .mfi
-(p6)  ldfe      atan_P22    = [atan_GR_AD_P],16                   
-(p7)  fma.s1       atan_V4  = atan_Y, atan_Q3 , atan_Q2               
-      nop.i 999    ;;
+           nop.m 999
+           fma.s1       atan2_W11       = atan2_w, atan2_P21, atan2_P20
+           nop.i 999
+;;
 }
 
-
 { .mfi
-      getf.exp     atan_GR_signexp_f8  = atan_NORM_f8
-(p7)  fma.s1       atan_Y11 = atan_Y3 , atan_Y8 , f0                  
-      nop.i 999   
+           nop.m 999
+           fma.s1       atan2_V11       = atan2_w, atan2_P9, atan2_P8
+           nop.i 999
 }
 { .mfi
-(p7)  ldfe      atan_Q17    = [atan_GR_AD_Q],16 
-(p6)  fma.s1       atan_V6  = atan_V12, atan_V8,  atan_V7             
-      nop.i 999    ;;
+           nop.m 999
+           fma.s1       atan2_V12       = atan2_w, atan2_w, f0
+           nop.i 999
+;;
 }
 
-
 { .mfi
-(p7)  ldfe      atan_Q18    = [atan_GR_AD_Q],16 
-(p6)  fma.s1       atan_W3  = atan_Y, atan_P13, atan_P12               
-      nop.i 999   
+           nop.m 999
+           fma.s1       atan2_V8        = atan2_w, atan2_P7 , atan2_P6
+           nop.i 999
 }
 { .mfi
-(p7)  ldfe      atan_R10    = [atan_GR_AD_R],16 
-(p7)  fma.s1       atan_G11 = atan_B, atan_R9 , atan_R8               
-      nop.i 999    ;;
+           nop.m 999
+           fma.s1       atan2_W8        = atan2_w, atan2_P19, atan2_P18
+           nop.i 999
+;;
 }
 
-
 { .mfi
-(p7)  ldfe      atan_Q10    = [atan_GR_AD_Q],16 
-(p7)  fma.s1    atan_Z3     = atan_Z1 , atan_Z2 , f0                  
-(p0)  and       atan_GR_exp_f8 = atan_GR_signexp_f8,atan_GR_exp_mask
+           nop.m 999
+           fnma.s1      atan2_alpha     = atan2_E, atan2_F, f1
+           nop.i 999
 }
 { .mfi
-(p7)  ldfe      atan_R2     = [atan_GR_AD_R],16 
-(p7)  fma.s1       atan_Z4  = atan_Z2 , atan_Z2 , f0                  
-      nop.i 999    ;;
+           nop.m 999
+           fnma.s1      atan2_alpha_1   = atan2_E, atan2_F, atan2_two
+           nop.i 999
+;;
 }
 
 
 { .mfi
-(p7)  ldfe      atan_Q11 = [atan_GR_AD_Q],16 
-(p6)  fma.s1    atan_W4  = atan_Y, atan_P15, atan_P14               
-      nop.i 999
+           nop.m 999
+           fma.s1       atan2_V7        = atan2_w, atan2_P5 , atan2_P4
+           nop.i 999
 }
 { .mfi
-(p7)  ldfe      atan_R3     = [atan_GR_AD_R],16 
-(p7)  fma.s1       atan_G7  = atan_B, atan_R5 , atan_R4               
-(p0)  cmp.le.unc   p11,p0  = atan_GR_10172,atan_GR_exp_f8 
-;;
-}
-
-
-{ .mmf
-(p9)  ldfe      atan_Q12 = [atan_GR_AD_Q],16 
-(p0)  ldfe      atan_S_PI     = [atan_GR_AD_R],16 
-(p8)  fma.s1       atan_W6  = atan_V12, atan_W8,  atan_W7             
+           nop.m 999
+           fma.s1       atan2_W7        = atan2_w, atan2_P17, atan2_P16
+           nop.i 999
 ;;
 }
 
-
-
 { .mfi
-(p9)  ldfe      atan_Q13 = [atan_GR_AD_Q],16 
-(p8)  fma.s1       atan_V3  = atan_Y, atan_P1 , atan_P0                
-(p11) cmp.ne.and p6,p7 = r0,r0
+           nop.m 999
+           fma.s1       atan2_V4        = atan2_w, atan2_P3 , atan2_P2
+           nop.i 999
 }
 { .mfi
-      nop.m 999
-(p8)  fma.s1       atan_V5  = atan_V9 , atan_V10, atan_V6             
-      nop.i 999    ;;
+           nop.m 999
+           fma.s1       atan2_W4        = atan2_w, atan2_P15, atan2_P14
+           nop.i 999
+;;
 }
 
-
-.pred.rel "mutex",p6,p7,p11
 { .mfi
-(p7)  ldfe      atan_Q14 = [atan_GR_AD_Q],16 
-(p6)  fma.s1       atan_Y12 = atan_V9 , atan_Y12, f0                   
-      nop.i 999    
+           nop.m 999
+           fma.s1       atan2_V3        = atan2_w, atan2_P1 , atan2_P0
+           nop.i 999
 }
 { .mfi
-      nop.m 999
-(p7)  fma.s1    atan_G8  = atan_B, atan_R7 , atan_R6               
-      nop.i 999    ;;
+           nop.m 999
+           fma.s1       atan2_W3        = atan2_w, atan2_P13, atan2_P12
+           nop.i 999
+;;
 }
 
-
 { .mfi
-      nop.m 999
-(p6)  fma.s1       atan_V4  = atan_Y, atan_P3 , atan_P2                
-      nop.i 999    
+           nop.m 999
+           fma.s1       atan2_V10       = atan2_V12, atan2_V13, atan2_V11
+           nop.i 999
 }
 { .mfi
-      nop.m 999
-(p7)  fma.s1       atan_W7  = atan_Y, atan_Q16, atan_Q15              
-      nop.i 999    ;;
+           nop.m 999
+           fma.s1       atan2_gVF       = atan2_gV, atan2_F, f0
+           nop.i 999
+;;
 }
 
-
 { .mfi
-      nop.m 999
-(p6)  fma.s1       atan_W10 = atan_V12, atan_P22, atan_W11            
-      nop.i 999    
+           nop.m 999
+           fma.s1       atan2_alpha_sq  = atan2_alpha, atan2_alpha, f0
+           nop.i 999
 }
 { .mfi
-      nop.m 999
-(p7)  fma.s1       atan_G3  = atan_B, atan_R1 , f1                    
-      nop.i 999    ;;
+           nop.m 999
+           fma.s1       atan2_Cp        = atan2_alpha, atan2_alpha_1, f1
+           nop.i 999
+;;
 }
 
-
 { .mfi
-      nop.m 999
-(p6)  fma.s1    atan_W2  = atan_V12, atan_W4 , atan_W3             
-      nop.i 999    
+           nop.m 999
+           fma.s1       atan2_V9        = atan2_V12, atan2_V12, f0
+           nop.i 999
 }
 { .mfi
-      nop.m 999
-(p7)  fma.s1       atan_V2  = atan_V12, atan_V4 , atan_V3              
-      nop.i 999    ;;
+           nop.m 999
+           fma.s1       atan2_W10       = atan2_V12, atan2_P22 , atan2_W11
+           nop.i 999
+;;
 }
 
 { .mfi
-      nop.m 999
-(p7)  fma.s1       atan_W8  = atan_Y, atan_Q18, atan_Q17              
-      nop.i 999   
+           nop.m 999
+           fma.s1       atan2_V6        = atan2_V12, atan2_V8 , atan2_V7
+           nop.i 999
 }
 { .mfi
-      nop.m 999
-(p7)  fma.s1       atan_G10 = atan_G12, atan_R10, atan_G11            
-      nop.i 999    ;;
+           nop.m 999
+           fma.s1       atan2_W6        = atan2_V12, atan2_W8 , atan2_W7
+           nop.i 999
+;;
 }
 
 { .mfi
-      nop.m 999
-(p7)  fma.s1       atan_V10 = atan_V12, atan_Q10, atan_V11            
-      nop.i 999    
+           nop.m 999
+           fma.s1       atan2_V2        = atan2_V12, atan2_V4 , atan2_V3
+           nop.i 999
 }
 { .mfi
-      nop.m 999
-(p7)  fma.s1       atan_G6  = atan_G12, atan_G8 , atan_G7             
-      nop.i 999    ;;
+           nop.m 999
+           fma.s1       atan2_W2        = atan2_V12, atan2_W4  , atan2_W3
+           nop.i 999
+;;
 }
 
-
 { .mfi
-      nop.m 999
-(p6)  fma.s1       atan_V2  = atan_V12, atan_V4,  atan_V3             
-      nop.i 999    
+           nop.m 999
+           fma.s1       atan2_alpha_cub = atan2_alpha, atan2_alpha_sq, f0
+           nop.i 999
 }
 { .mfi
-      nop.m 999
-(p7)  fma.s1       atan_G4  = atan_B  , atan_R3 , atan_R2             
-      nop.i 999    ;;
+           nop.m 999
+           fma.s1       atan2_C         = atan2_gVF, atan2_Cp, f0
+           nop.i 999
+;;
 }
 
-
 { .mfi
-      nop.m 999
-(p6)  fma.s1       atan_W5  = atan_V9 , atan_W10, atan_W6             
-      nop.i 999    
-}
-{ .mfi
-      nop.m 999
-(p7)  fma.s1       atan_W3  = atan_Y  , atan_Q12, atan_Q11            
-      nop.i 999    ;;
+           nop.m 999
+           fma.s1       atan2_W12       = atan2_V9, atan2_V9, f0
+           nop.i 999
+;;
 }
 
-
 { .mfi
-      nop.m 999
-(p7)  fma.s1       atan_Z5  = atan_Z3 , atan_Z4 , f0                  
-      nop.i 999    
+           nop.m 999
+           fma.s1       atan2_V5        = atan2_V9, atan2_V10, atan2_V6
+           nop.i 999
 }
 { .mfi
-      nop.m 999
-(p7)  fma.s1       atan_W10 = atan_V12, atan_W13, atan_W11            
-      nop.i 999    ;;
+           nop.m 999
+           fma.s1       atan2_W5        = atan2_V9, atan2_W10, atan2_W6
+           nop.i 999
+;;
 }
 
-
 { .mfi
-      nop.m 999
-(p7)  fma.s1       atan_W4  = atan_Y  , atan_Q14, atan_Q13            
-      nop.i 999    
+           nop.m 999
+           fclass.m p8,p0 = atan2_Y, 0x07  // Test for y=0
+           nop.i 999
 }
 { .mfi
-      nop.m 999
-(p7)  fma.s1       atan_W6  = atan_V12, atan_W8,  atan_W7             
-      nop.i 999    ;;
+           nop.m 999
+           fma.s1       atan2_d         = atan2_alpha_cub, atan2_C, atan2_C
+           nop.i 999
 }
+;;
 
 { .mfi
-      nop.m 999
-(p7)  fma.s1       atan_V5  = atan_V9 , atan_V10, atan_V6             
-      nop.i 999    
+           nop.m 999
+           fma.s1       atan2_W12       = atan2_V9, atan2_W12, f0
+           nop.i 999
 }
-{ .mfi
-      nop.m 999
-(p7)  fma.s1       atan_G5  = atan_G9 , atan_G10, atan_G6             
-      nop.i 999    ;;
-}
-
+;;
 
 { .mfi
-      nop.m 999
-(p6)  fma.s1       atan_V1  = atan_V9 , atan_V5 , atan_V2             
-      nop.i 999    
+           nop.m 999
+           fma.s1       atan2_V1        = atan2_V9, atan2_V5, atan2_V2
+           nop.i 999
 }
 { .mfi
-      nop.m 999
-(p7)  fma.s1       atan_G2  = atan_G12, atan_G4 , atan_G3             
-      nop.i 999    ;;
+           nop.m 999
+           fma.s1       atan2_W1        = atan2_V9, atan2_W5, atan2_W2
+           nop.i 999
+;;
 }
 
-
-{ .mfi
-      nop.m 999
-(p6)  fma.s1       atan_W1  = atan_V9 , atan_W5 , atan_W2             
-      nop.i 999    
-}
 { .mfi
-      nop.m 999
-(p7)  fma.s1       atan_Z6  = atan_Z4 , atan_C  , f0                  
-      nop.i 999    ;;
+           nop.m 999
+(p8)       fmerge.s     f8              = atan2_sgnY, f0  // +-0 if y=0
+           nop.i 999
 }
-
-{ .mfi
-      nop.m 999
-(p0)  fmerge.s    atan_S_PI = f8, atan_S_PI
-      nop.i 999     ;;
+{ .mfb
+           nop.m 999
+           fma.s1       atan2_zcub      = atan2_z, atan2_w, f0
+(p8)       br.ret.spnt b0      // Exit if y=0
+;;
 }
 
-
 { .mfi
-      nop.m 999
-(p7)  fma.s1       atan_W5  = atan_V9 , atan_W10, atan_W6             
-      nop.i 999    
+           nop.m 999
+           fma.s1       atan2_pd        = atan2_P0, atan2_d, f0
+           nop.i 999
 }
 { .mfi
-      nop.m 999
-(p7)  fma.s1       atan_W2  = atan_V12, atan_W4 , atan_W3             
-      nop.i 999    ;;
+           nop.m 999
+           fma.s1       atan2_dsq       = atan2_d, atan2_d, f0
+           nop.i 999
+;;
 }
 
 
 { .mfi
-      nop.m 999
-(p7)  fma.s1       atan_G1  = atan_G9 , atan_G5 , atan_G2             
-      nop.i 999    
+           nop.m 999
+           fmerge.se    atan2_near_one = f1, atan2_sig_near_one // Const ~1.0
+           nop.i 999
 }
 { .mfi
-      nop.m 999
-(p7)  fma.s1       atan_V1  = atan_V9 , atan_V5 , atan_V2             
-      nop.i 999    ;;
+           nop.m 999
+           fma.s1       atan2_Pp        = atan2_W12, atan2_W1, atan2_V1
+           nop.i 999
+;;
 }
 
-
 { .mfi
-      nop.m 999
-(p6)  fma.s1       atan_P   = atan_Y12, atan_W1 , atan_V1              
-      nop.i 999    
+           nop.m 999
+           fma.s1       atan2_sgn_pi_by_2 = atan2_pi_by_2, atan2_sgnY, f0
+           nop.i 999
 }
 { .mfi
-      nop.m 999
-(p7)  fma.s1       atan_Z7  = atan_Z5 , atan_Z6 , f0                  
-      nop.i 999    ;;
+           nop.m 999
+           fma.s1       atan2_A_lo      = atan2_pd, atan2_dsq, atan2_d
+           nop.i 999
+;;
 }
 
 
 { .mfi
-      nop.m 999
-(p7)  fma.s1       atan_W1  = atan_V9 , atan_W5 , atan_W2             
-      nop.i 999    ;;
+           nop.m 999
+           fma.s1       atan2_A_hi      = atan2_zcub, atan2_Pp, atan2_z
+           nop.i 999
+;;
 }
 
 
 { .mfi
-      nop.m 999
-(p11) fma.d.s0  f8 = atan_S_PI,f1,f0
-      nop.i 999
+           nop.m 999
+(p6)       fma.s1       atan2_A         = atan2_A_hi, f1, atan2_A_lo
+           nop.i 999
 }
+// For |Y| <= |X| and X > 0, result is A_hi + A_lo
 { .mfi
-      nop.m 999
-(p7)  fma.s1       atan_Z   = atan_G1 , atan_Z7 , f0                  
-      nop.i 999    ;;
-}
-
-
-{ .mfi
-      nop.m 999
-(p7)  fma.s1       atan_Q   = atan_Y11, atan_W1 , atan_V1             
-      nop.i 999    ;;
+           nop.m 999
+(p7)       fma.d.s0       f8         = atan2_A_hi, f1, atan2_A_lo
+           nop.i 999
+;;
 }
 
-
-{ .mfi
-      nop.m 999
-(p6)  fma.d.s0    f8       = atan_P  , atan_Xcub  , f8               
-      nop.i 999    
-}
+// For |Y| > |X|, result is  +- pi/2 - (A_hi + A_lo)
+// We perturb A by multiplying by 1.0+1ulp as we produce the result
+// in order to get symmetrically rounded results in directed rounding modes.
+// If we don't do this, there are a few cases where the trailing 11 bits of
+// the significand of the result, before converting to double, are zero.  These
+// cases do not round symmetrically in round to +infinity or round to -infinity.
 { .mfb
-      nop.m 999
-(p7)  fnma.d.s0    f8       = atan_Z  , atan_Q  , atan_S_PI           
-(p0)  br.ret.sptk    b0    ;;
+           nop.m 999
+(p6)       fnma.d.s0      f8        = atan2_A, atan2_near_one, atan2_sgn_pi_by_2
+           br.ret.sptk  b0
+;;
 }
 
-.endp atan
-ASM_SIZE_DIRECTIVE(atan)
+GLOBAL_LIBM_END(atan)
diff --git a/sysdeps/ia64/fpu/s_atanf.S b/sysdeps/ia64/fpu/s_atanf.S
index b0a68737aa..fb7f4a307e 100644
--- a/sysdeps/ia64/fpu/s_atanf.S
+++ b/sysdeps/ia64/fpu/s_atanf.S
@@ -1,12 +1,10 @@
 .file "atanf.s"
 
-// THIS IS NOT OPTIMIZED AND NOT OFFICIAL
 
-// Copyright (C) 2000, 2001, Intel Corporation
+// Copyright (c) 2000 - 2003, Intel Corporation
 // All rights reserved.
 //
-// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story,
-// and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation.
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
 //
 // Redistribution and use in source and binary forms, with or without
 // modification, are permitted provided that the following conditions are
@@ -22,7 +20,7 @@
 // * The name of Intel Corporation may not be used to endorse or promote
 // products derived from this software without specific prior written
 // permission.
-//
+
 // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
 // "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
@@ -37,16 +35,18 @@
 //
 // Intel Corporation is the author of this code, and requests that all
 // problem reports or change requests be submitted to it directly at
-// http://developer.intel.com/opensource.
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
 
 
 // History
 //==============================================================
-// ?/??/00  Initial revision 
-// 8/17/00  Changed predicate register macro-usage to direct predicate
+// 02/20/00 Initial version
+// 08/17/00 Changed predicate register macro-usage to direct predicate
 //          names due to an assembler bug.
-
-#include "libm_support.h"
+// 02/06/02 Corrected .section statement
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 02/06/03 Reordered header: .section, .global, .proc, .align;
+//          added missing bundling
 
 //
 // Assembly macros
@@ -140,16 +140,11 @@ atanf_answer       = f8
 //atanf_pred_GT1     = p7
 
 
-#ifdef _LIBC
-.rodata
-#else
-.data
-#endif
+RODATA
 
 .align 16
 
-atanf_coeff_1_table:
-ASM_TYPE_DIRECTIVE(atanf_coeff_1_table,@object)
+LOCAL_OBJECT_START(atanf_coeff_1_table)
 data8 0x40c4c241be751ff2  // r4
 data8 0x40e9f300c2f3070b  // r5
 data8 0x409babffef772075  // r3
@@ -164,12 +159,11 @@ data8 0xbfc2473c5145ee38  // p3
 data8 0x3fbc4f512b1865f5  // p4
 data8 0x3fc9997e7afbff4e  // p2
 data8 0x3ff921fb54442d18  // pi/2
-ASM_SIZE_DIRECTIVE(atanf_coeff_1_table)
+LOCAL_OBJECT_END(atanf_coeff_1_table)
 
 
 
-atanf_coeff_2_table:
-ASM_TYPE_DIRECTIVE(atanf_coeff_2_table,@object)
+LOCAL_OBJECT_START(atanf_coeff_2_table)
 data8 0x4035000000004284  // r1
 data8 0x406cdffff336a59b  // r2
 data8 0x3fbc4f512b1865f5  // p4 = q6
@@ -182,18 +176,12 @@ data8 0xbfa6e10ba401393f  // p7
 data8 0x3f97105b4160f86b  // p8
 data8 0xbf7deaadaa336451  // p9
 data8 0x3f522e5d33bc9baa  // p10
-ASM_SIZE_DIRECTIVE(atanf_coeff_2_table)
-
-
+LOCAL_OBJECT_END(atanf_coeff_2_table)
 
-.global atanf 
 
-.text
-.proc  atanf
-
-.align 32
-atanf:
 
+.section .text
+GLOBAL_LIBM_ENTRY(atanf)
 
 {     .mfi 
      alloc      r32                  = ar.pfs,1,2,0,0
@@ -325,7 +313,7 @@ atanf:
 {     .mfb 
      nop.m                 999
      fma.s1    atanf_x5  =    atanf_t,atanf_xcub,f0
-(p8)  br.cond.spnt   L(ATANF_X_INF_NAN_ZERO)
+(p8)  br.cond.spnt   ATANF_X_INF_NAN_ZERO
 } 
 ;;
  
@@ -487,7 +475,7 @@ atanf:
  
 {     .mfi 
      nop.m                           999
-     fma       atanf_sgnx_piby2    =    atanf_sgn_x,atanf_piby2,f0
+     fma.s0       atanf_sgnx_piby2    =    atanf_sgn_x,atanf_piby2,f0
      nop.i                           999
 } 
 {     .mfi 
@@ -530,27 +518,38 @@ atanf:
 {     .mfi 
                     nop.m                      999
 //(atanf_pred_GT1)    fnma.s    atanf_answer   =    atanf_poly_q,atanf_z21_poly_r,atanf_sgnx_piby2
-(p7)    fnma.s    atanf_answer   =    atanf_poly_q,atanf_z21_poly_r,atanf_sgnx_piby2
+(p7)    fnma.s.s0    atanf_answer   =    atanf_poly_q,atanf_z21_poly_r,atanf_sgnx_piby2
                     nop.i                      999;;
 } 
  
 {     .mfb 
                     nop.m                      999
 //(atanf_pred_LE1)    fma.s     atanf_answer   =    atanf_x11,atanf_poly_p1,atanf_poly_p4
-(p6)    fma.s     atanf_answer   =    atanf_x11,atanf_poly_p1,atanf_poly_p4
+(p6)    fma.s.s0     atanf_answer   =    atanf_x11,atanf_poly_p1,atanf_poly_p4
                     br.ret.sptk b0
 } 
 
 
 
-L(ATANF_X_INF_NAN_ZERO):
+ATANF_X_INF_NAN_ZERO:
 
-      fclass.m p8,p9 = f8,0x23	// @inf
+{ .mfi
+      nop.m 0
+      fclass.m p8,p9 = f8,0x23  // @inf
+      nop.i 0
+}
 ;;
+{ .mfi
+      nop.m 0
 (p8)  fmerge.s f8 = f8, atanf_piby2
+      nop.i 0
+}
 ;;
-      fnorm.s f8 = f8
+{ .mfb
+      nop.m 0
+      fnorm.s.s0 f8 = f8
       br.ret.sptk b0
+}
+;;
 
-.endp atanf
-ASM_SIZE_DIRECTIVE(atanf)
+GLOBAL_LIBM_END(atanf)
diff --git a/sysdeps/ia64/fpu/s_atanl.S b/sysdeps/ia64/fpu/s_atanl.S
index 28d44c1850..bfd9f458f4 100644
--- a/sysdeps/ia64/fpu/s_atanl.S
+++ b/sysdeps/ia64/fpu/s_atanl.S
@@ -1,10 +1,10 @@
 .file "atanl.s"
 
-// Copyright (C) 2000, 2001, Intel Corporation
+
+// Copyright (c) 2000 - 2003, Intel Corporation
 // All rights reserved.
-// 
-// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story,
-// and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
 //
 // Redistribution and use in source and binary forms, with or without
 // modification, are permitted provided that the following conditions are
@@ -20,7 +20,7 @@
 // * The name of Intel Corporation may not be used to endorse or promote
 // products derived from this software without specific prior written
 // permission.
-//
+
 // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
 // "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
@@ -35,41 +35,52 @@
 // 
 // Intel Corporation is the author of this code, and requests that all
 // problem reports or change requests be submitted to it directly at 
-// http://developer.intel.com/opensource.
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
 //
 //
-// *********************************************************************
+//*********************************************************************
 //
 // History
-// 2/02/00  (hand-optimized)
-// 4/04/00  Unwind support added
-// 8/15/00  Bundle added after call to __libm_error_support to properly
+// 02/02/00 (hand-optimized)
+// 04/04/00 Unwind support added
+// 08/15/00 Bundle added after call to __libm_error_support to properly
 //          set [the previously overwritten] GR_Parameter_RESULT.
+// 03/13/01 Fixed flags when denormal raised on intermediate result
+// 01/08/02 Improved speed.
+// 02/06/02 Corrected .section statement
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 02/10/03 Reordered header: .section, .global, .proc, .align;
+//          used data8 for long double table values
 //
-// *********************************************************************
+//*********************************************************************
 //
 // Function:   atanl(x) = inverse tangent(x), for double extended x values
-// Function:   atan2l(y,x) = atan(y/x), for double extended x values
+// Function:   atan2l(y,x) = atan(y/x), for double extended y, x values
+//
+// API
+//
+//  long double atanl  (long double x)
+//  long double atan2l (long double y, long double x)
 //
-// *********************************************************************
+//*********************************************************************
 //
 // Resources Used:
 //
 //    Floating-Point Registers: f8 (Input and Return Value)
-//                              f9-f15
-//                              f32-f79
+//                              f9 (Input for atan2l)
+//                              f10-f15, f32-f83
 //
 //    General Purpose Registers:
-//      r32-r48
-//      r49,r50,r51,r52 (Arguments to error support for 0,0 case)
+//      r32-r51
+//      r49-r52 (Arguments to error support for 0,0 case)
 //
 //    Predicate Registers:      p6-p15
 //
-// *********************************************************************
+//*********************************************************************
 //
 // IEEE Special Conditions:
 //
-//    Denormal  fault raised on denormal inputs
+//    Denormal fault raised on denormal inputs
 //    Underflow exceptions may occur 
 //    Special error handling for the y=0 and x=0 case
 //    Inexact raised when appropriate by algorithm
@@ -92,7 +103,7 @@
 //    atan2l(+/-Inf, Inf) = +/-pi/4
 //    atan2l(+/-Inf, -Inf) = +/-3pi/4
 //
-// *********************************************************************
+//*********************************************************************
 //
 // Mathematical Description
 // ---------------------------
@@ -108,16 +119,16 @@
 //
 //
 //        (Arg_X, Arg_Y) x
-//                        \ 
-//                \ 
-//                 \ 
-//                  \ 
+//                        \
+//                \
+//                 \
+//                  \
 //                   \ angle between is ATANL(Arg_Y,Arg_X)
 
 
 
 
-//                    \ 
+//                    \
 //                     ------------------> X-axis
 
 //                   Origin
@@ -232,14 +243,14 @@
 //       z_hi = 2^k * 1.b_1 b_2 b_3 b_4 1
 //
 // then
-//                                            /                \ 
+//                                            /                \
 //                                            |  (V/U) - z_hi  |
 
 //      arctan(V/U) = arctan(z_hi) + acrtan| -------------- |
 //                                            | 1 + (V/U)*z_hi |
 //                                            \                /
 //
-//                                            /                \ 
+//                                            /                \
 //                                            |   V - z_hi*U   |
 
 //                  = arctan(z_hi) + acrtan| -------------- |
@@ -295,7 +306,7 @@
 //    U      := max( |Arg_X|, |Arg_Y| )
 //    V      := min( |Arg_X|, |Arg_Y| )
 //
-//    execute: frcap E, pred, V, U
+//    execute: frcpa E, pred, V, U
 //    If pred is 0, go to Step 5 for special cases handling.
 //
 // Step 2. Decide on branch.
@@ -399,7 +410,7 @@
 //
 //    z := V * E     ...z approximates V/U to roughly working precision
 //    zsq := z * z
-//    z8 := zsq * zsq; z8 := z8 * z8
+//    z4 := zsq * zsq; z8 := z4 * z4
 //
 //    poly1 := P_4 + zsq*(P_5 + zsq*(P_6 + zsq*(P_7 + zsq*P_8)))
 //    poly2 := zsq*(P_1 + zsq*(P_2 + zsq*P_3))
@@ -438,12 +449,11 @@
 //
 // Step 5. Special Cases
 //
-//    If pred is 0 where pred is obtained in
-//        frcap E, pred, V, U
+//    These are detected early in the function by fclass instructions.
 //
-//    we are in one of those special cases of 0,+-inf or NaN
+//    We are in one of those special cases when X or Y is 0,+-inf or NaN
 //
-//    If one of U and V is NaN, return U+V (which will generate
+//    If one of X and Y is NaN, return X+Y (which will generate
 //    invalid in case one is a signaling NaN). Otherwise,
 //    return the Result as described in the table
 //
@@ -469,8 +479,6 @@
 //
 //
 
-#include "libm_support.h"
-
 ArgY_orig   =   f8
 Result      =   f8
 FR_RESULT   =   f8
@@ -504,6 +512,7 @@ Res_hi      =   f49
 Res_lo      =   f50
 Z           =   f52
 zsq         =   f53
+z4          =   f54
 z8          =   f54
 poly1       =   f55
 poly2       =   f56
@@ -521,8 +530,8 @@ P_5         =   f67
 P_6         =   f68
 P_7         =   f69
 P_8         =   f70
-TWO_TO_NEG3 =   f71
-U_hold      =   f72
+U_hold      =   f71
+TWO_TO_NEG3 =   f72
 C_hi_hold   =   f73
 E_hold      =   f74
 M           =   f75
@@ -530,6 +539,11 @@ ArgX_abs    =   f76
 ArgY_abs    =   f77
 Result_lo   =   f78
 A_temp      =   f79
+FR_temp     =   f80
+Xsq         =   f81
+Ysq         =   f82
+tmp_small   =   f83
+
 GR_SAVE_PFS   = r33
 GR_SAVE_B0    = r34
 GR_SAVE_GP    = r35
@@ -545,1415 +559,1399 @@ exp_ArgY      = r44
 exponent_Q    = r45 
 significand_Q = r46 
 special       = r47 
-special1      = r48 
+sp_exp_Q      = r48 
+sp_exp_4sig_Q = r49 
+table_base    = r50 
+int_temp      = r51
+
 GR_Parameter_X      = r49
 GR_Parameter_Y      = r50
 GR_Parameter_RESULT = r51
 GR_Parameter_TAG    = r52
-int_temp            = r52
-
-#ifdef _LIBC
-.rodata
-#else
-.data
-#endif
-.align 64 
-
-Constants_atan:
-ASM_TYPE_DIRECTIVE(Constants_atan,@object)
-data4    0x54442D18, 0x3FF921FB, 0x248D3132, 0x3E000000
-//       double pi/2, single lo_pi/2, two**(-3)
-data4    0xAAAAAAA3, 0xAAAAAAAA, 0x0000BFFD, 0x00000000 // P_1
-data4    0xCCCC54B2, 0xCCCCCCCC, 0x00003FFC, 0x00000000 // P_2
-data4    0x47E4D0C2, 0x92492492, 0x0000BFFC, 0x00000000 // P_3
-data4    0x58870889, 0xE38E38E0, 0x00003FFB, 0x00000000 // P_4
-data4    0x290149F8, 0xBA2E895B, 0x0000BFFB, 0x00000000 // P_5
-data4    0x250F733D, 0x9D88E6D4, 0x00003FFB, 0x00000000 // P_6
-data4    0xFB8745A0, 0x884E51FF, 0x0000BFFB, 0x00000000 // P_7
-data4    0x394396BD, 0xE1C7412B, 0x00003FFA, 0x00000000 // P_8
-data4    0xAAAAA52F, 0xAAAAAAAA, 0x0000BFFD, 0x00000000 // Q_1
-data4    0xC75B60D3, 0xCCCCCCCC, 0x00003FFC, 0x00000000 // Q_2
-data4    0x011F1940, 0x924923AD, 0x0000BFFC, 0x00000000 // Q_3
-data4    0x2A5F89BD, 0xE36F716D, 0x00003FFB, 0x00000000 // Q_4
+GR_temp             = r52
+
+RODATA
+.align 16 
+
+LOCAL_OBJECT_START(Constants_atan)
+//       double pi/2
+data8 0x3FF921FB54442D18
+//       single lo_pi/2, two**(-3)
+data4 0x248D3132, 0x3E000000
+data8 0xAAAAAAAAAAAAAAA3, 0xBFFD // P_1
+data8 0xCCCCCCCCCCCC54B2, 0x3FFC // P_2
+data8 0x9249249247E4D0C2, 0xBFFC // P_3
+data8 0xE38E38E058870889, 0x3FFB // P_4
+data8 0xBA2E895B290149F8, 0xBFFB // P_5
+data8 0x9D88E6D4250F733D, 0x3FFB // P_6
+data8 0x884E51FFFB8745A0, 0xBFFB // P_7
+data8 0xE1C7412B394396BD, 0x3FFA // P_8
+data8 0xAAAAAAAAAAAAA52F, 0xBFFD // Q_1
+data8 0xCCCCCCCCC75B60D3, 0x3FFC // Q_2
+data8 0x924923AD011F1940, 0xBFFC // Q_3
+data8 0xE36F716D2A5F89BD, 0x3FFB // Q_4
 //
 //    Entries Tbl_hi  (double precision)
 //    B = 1+Index/16+1/32  Index = 0
 //    Entries Tbl_lo (single precision)
 //    B = 1+Index/16+1/32  Index = 0
 //
-data4   0xA935BD8E, 0x3FE9A000, 0x23ACA08F, 0x00000000
+data8 0x3FE9A000A935BD8E 
+data4 0x23ACA08F, 0x00000000
 //
 //    Entries Tbl_hi  (double precision) Index = 0,1,...,15
 //    B = 2^(-1)*(1+Index/16+1/32)
 //    Entries Tbl_lo (single precision)
 //    Index = 0,1,...,15  B = 2^(-1)*(1+Index/16+1/32)
 //
-data4   0x7F175A34, 0x3FDE77EB, 0x238729EE, 0x00000000
-data4   0x73C1A40B, 0x3FE0039C, 0x249334DB, 0x00000000
-data4   0x5B5B43DA, 0x3FE0C614, 0x22CBA7D1, 0x00000000
-data4   0x88BE7C13, 0x3FE1835A, 0x246310E7, 0x00000000
-data4   0xE2CC9E6A, 0x3FE23B71, 0x236210E5, 0x00000000
-data4   0x8406CBCA, 0x3FE2EE62, 0x2462EAF5, 0x00000000
-data4   0x1CD41719, 0x3FE39C39, 0x24B73EF3, 0x00000000
-data4   0x5B795B55, 0x3FE44506, 0x24C11260, 0x00000000
-data4   0x5BB6EC04, 0x3FE4E8DE, 0x242519EE, 0x00000000
-data4   0x1F732FBA, 0x3FE587D8, 0x24D4346C, 0x00000000
-data4   0x115D7B8D, 0x3FE6220D, 0x24ED487B, 0x00000000
-data4   0x920B3D98, 0x3FE6B798, 0x2495FF1E, 0x00000000
-data4   0x8FBA8E0F, 0x3FE74897, 0x223D9531, 0x00000000
-data4   0x289FA093, 0x3FE7D528, 0x242B0411, 0x00000000
-data4   0x576CC2C5, 0x3FE85D69, 0x2335B374, 0x00000000
-data4   0xA99CC05D, 0x3FE8E17A, 0x24C27CFB, 0x00000000
+data8 0x3FDE77EB7F175A34 
+data4 0x238729EE, 0x00000000
+data8 0x3FE0039C73C1A40B 
+data4 0x249334DB, 0x00000000
+data8 0x3FE0C6145B5B43DA 
+data4 0x22CBA7D1, 0x00000000
+data8 0x3FE1835A88BE7C13 
+data4 0x246310E7, 0x00000000
+data8 0x3FE23B71E2CC9E6A 
+data4 0x236210E5, 0x00000000
+data8 0x3FE2EE628406CBCA 
+data4 0x2462EAF5, 0x00000000
+data8 0x3FE39C391CD41719 
+data4 0x24B73EF3, 0x00000000
+data8 0x3FE445065B795B55 
+data4 0x24C11260, 0x00000000
+data8 0x3FE4E8DE5BB6EC04 
+data4 0x242519EE, 0x00000000
+data8 0x3FE587D81F732FBA 
+data4 0x24D4346C, 0x00000000
+data8 0x3FE6220D115D7B8D 
+data4 0x24ED487B, 0x00000000
+data8 0x3FE6B798920B3D98 
+data4 0x2495FF1E, 0x00000000
+data8 0x3FE748978FBA8E0F 
+data4 0x223D9531, 0x00000000
+data8 0x3FE7D528289FA093 
+data4 0x242B0411, 0x00000000
+data8 0x3FE85D69576CC2C5 
+data4 0x2335B374, 0x00000000
+data8 0x3FE8E17AA99CC05D 
+data4 0x24C27CFB, 0x00000000
 //
 //    Entries Tbl_hi  (double precision) Index = 0,1,...,15
 //    B = 2^(-2)*(1+Index/16+1/32)
 //    Entries Tbl_lo (single precision)
 //    Index = 0,1,...,15  B = 2^(-2)*(1+Index/16+1/32)
 //
-data4    0x510665B5, 0x3FD025FA, 0x24263482, 0x00000000
-data4    0x362431C9, 0x3FD1151A, 0x242C8DC9, 0x00000000
-data4    0x67E47C95, 0x3FD20255, 0x245CF9BA, 0x00000000
-data4    0x7A823CFE, 0x3FD2ED98, 0x235C892C, 0x00000000
-data4    0x29271134, 0x3FD3D6D1, 0x2389BE52, 0x00000000
-data4    0x586890E6, 0x3FD4BDEE, 0x24436471, 0x00000000
-data4    0x175E0F4E, 0x3FD5A2E0, 0x2389DBD4, 0x00000000
-data4    0x9F5FA6FD, 0x3FD68597, 0x2476D43F, 0x00000000
-data4    0x52817501, 0x3FD76607, 0x24711774, 0x00000000
-data4    0xB8DF95D7, 0x3FD84422, 0x23EBB501, 0x00000000
-data4    0x7CD0C662, 0x3FD91FDE, 0x23883A0C, 0x00000000
-data4    0x66168001, 0x3FD9F930, 0x240DF63F, 0x00000000
-data4    0x5422058B, 0x3FDAD00F, 0x23FE261A, 0x00000000
-data4    0x378624A5, 0x3FDBA473, 0x23A8CD0E, 0x00000000
-data4    0x0AAD71F8, 0x3FDC7655, 0x2422D1D0, 0x00000000
-data4    0xC9EC862B, 0x3FDD45AE, 0x2344A109, 0x00000000
+data8 0x3FD025FA510665B5 
+data4 0x24263482, 0x00000000
+data8 0x3FD1151A362431C9
+data4 0x242C8DC9, 0x00000000
+data8 0x3FD2025567E47C95
+data4 0x245CF9BA, 0x00000000
+data8 0x3FD2ED987A823CFE
+data4 0x235C892C, 0x00000000
+data8 0x3FD3D6D129271134
+data4 0x2389BE52, 0x00000000
+data8 0x3FD4BDEE586890E6
+data4 0x24436471, 0x00000000
+data8 0x3FD5A2E0175E0F4E
+data4 0x2389DBD4, 0x00000000
+data8 0x3FD685979F5FA6FD
+data4 0x2476D43F, 0x00000000
+data8 0x3FD7660752817501
+data4 0x24711774, 0x00000000
+data8 0x3FD84422B8DF95D7
+data4 0x23EBB501, 0x00000000
+data8 0x3FD91FDE7CD0C662
+data4 0x23883A0C, 0x00000000
+data8 0x3FD9F93066168001
+data4 0x240DF63F, 0x00000000
+data8 0x3FDAD00F5422058B
+data4 0x23FE261A, 0x00000000
+data8 0x3FDBA473378624A5
+data4 0x23A8CD0E, 0x00000000
+data8 0x3FDC76550AAD71F8
+data4 0x2422D1D0, 0x00000000
+data8 0x3FDD45AEC9EC862B
+data4 0x2344A109, 0x00000000
 //
 //    Entries Tbl_hi  (double precision) Index = 0,1,...,15
 //    B = 2^(-3)*(1+Index/16+1/32)
 //    Entries Tbl_lo (single precision)
 //    Index = 0,1,...,15  B = 2^(-3)*(1+Index/16+1/32)
 //
-data4    0x84212B3D, 0x3FC068D5, 0x239874B6, 0x00000000
-data4    0x41060850, 0x3FC16465, 0x2335E774, 0x00000000
-data4    0x171A535C, 0x3FC25F6E, 0x233E36BE, 0x00000000
-data4    0xEDEB99A3, 0x3FC359E8, 0x239680A3, 0x00000000
-data4    0xC6092A9E, 0x3FC453CE, 0x230FB29E, 0x00000000
-data4    0xBA11570A, 0x3FC54D18, 0x230C1418, 0x00000000
-data4    0xFFB3AA73, 0x3FC645BF, 0x23F0564A, 0x00000000
-data4    0xE8A7D201, 0x3FC73DBD, 0x23D4A5E1, 0x00000000
-data4    0xE398EBC7, 0x3FC8350B, 0x23D4ADDA, 0x00000000
-data4    0x7D050271, 0x3FC92BA3, 0x23BCB085, 0x00000000
-data4    0x601081A5, 0x3FCA217E, 0x23BC841D, 0x00000000
-data4    0x574D780B, 0x3FCB1696, 0x23CF4A8E, 0x00000000
-data4    0x4D768466, 0x3FCC0AE5, 0x23BECC90, 0x00000000
-data4    0x4E1D5395, 0x3FCCFE65, 0x2323DCD2, 0x00000000
-data4    0x864C9D9D, 0x3FCDF110, 0x23F53F3A, 0x00000000
-data4    0x451D980C, 0x3FCEE2E1, 0x23CCB11F, 0x00000000
-
-data4    0x54442D18, 0x400921FB, 0x33145C07, 0x3CA1A626 // PI two doubles
-data4    0x54442D18, 0x3FF921FB, 0x33145C07, 0x3C91A626 // PI_by_2 two dbles
-data4    0x54442D18, 0x3FE921FB, 0x33145C07, 0x3C81A626 // PI_by_4 two dbles
-data4    0x7F3321D2, 0x4002D97C, 0x4C9E8A0A, 0x3C9A7939 // 3PI_by_4 two dbles
-ASM_SIZE_DIRECTIVE(Constants_atan)
-
-
-.text
-.proc atanl#
-.global atanl#
-.align 64
-
-atanl: 
-{ .mfb
-	nop.m 999
-(p0)   mov ArgX_orig = f1 
-(p0)   br.cond.sptk atan2l ;;
-}
-.endp atanl
-ASM_SIZE_DIRECTIVE(atanl)
-
-.text
-.proc atan2l#
-.global atan2l#
-#ifdef _LIBC
-.proc __atan2l#
-.global __atan2l#
-.proc __ieee754_atan2l#
-.global __ieee754_atan2l#
-#endif
-.align 64 
-
-
-atan2l:
-#ifdef _LIBC
-__atan2l:
-__ieee754_atan2l:
-#endif
-{ .mfi
-alloc r32 = ar.pfs, 0, 17 , 4, 0
-(p0)  mov   ArgY = ArgY_orig
-}
-{ .mfi
-	nop.m 999
-(p0)  mov   ArgX = ArgX_orig
-	nop.i 999
-};;
+data8 0x3FC068D584212B3D
+data4 0x239874B6, 0x00000000
+data8 0x3FC1646541060850
+data4 0x2335E774, 0x00000000
+data8 0x3FC25F6E171A535C
+data4 0x233E36BE, 0x00000000
+data8 0x3FC359E8EDEB99A3
+data4 0x239680A3, 0x00000000
+data8 0x3FC453CEC6092A9E
+data4 0x230FB29E, 0x00000000
+data8 0x3FC54D18BA11570A
+data4 0x230C1418, 0x00000000
+data8 0x3FC645BFFFB3AA73
+data4 0x23F0564A, 0x00000000
+data8 0x3FC73DBDE8A7D201
+data4 0x23D4A5E1, 0x00000000
+data8 0x3FC8350BE398EBC7
+data4 0x23D4ADDA, 0x00000000
+data8 0x3FC92BA37D050271
+data4 0x23BCB085, 0x00000000
+data8 0x3FCA217E601081A5
+data4 0x23BC841D, 0x00000000
+data8 0x3FCB1696574D780B
+data4 0x23CF4A8E, 0x00000000
+data8 0x3FCC0AE54D768466
+data4 0x23BECC90, 0x00000000
+data8 0x3FCCFE654E1D5395
+data4 0x2323DCD2, 0x00000000
+data8 0x3FCDF110864C9D9D
+data4 0x23F53F3A, 0x00000000
+data8 0x3FCEE2E1451D980C
+data4 0x23CCB11F, 0x00000000
+//
+data8 0x400921FB54442D18, 0x3CA1A62633145C07 // PI two doubles
+data8 0x3FF921FB54442D18, 0x3C91A62633145C07 // PI_by_2 two dbles
+data8 0x3FE921FB54442D18, 0x3C81A62633145C07 // PI_by_4 two dbles
+data8 0x4002D97C7F3321D2, 0x3C9A79394C9E8A0A // 3PI_by_4 two dbles
+LOCAL_OBJECT_END(Constants_atan)
+
+
+.section .text
+GLOBAL_IEEE754_ENTRY(atanl)
+
+// Use common code with atan2l after setting x=1.0
 { .mfi
-	nop.m 999
-(p0)   fclass.m.unc p7,p0 = ArgY_orig, 0x103
-	nop.i 999 
+      alloc r32 = ar.pfs, 0, 17, 4, 0
+      fma.s1 Ysq = ArgY_orig, ArgY_orig, f0          // Form y*y
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-//
-//
-//  Save original input args and load table ptr.
-//
-(p0)   fclass.m.unc p6,p0 = ArgX_orig, 0x103
-	nop.i 999
-};;
+      addl table_ptr1 = @ltoff(Constants_atan#), gp  // Address of table pointer
+      fma.s1 Xsq = f1, f1, f0                        // Form x*x
+      nop.i 999
+}
+;;
+
 { .mfi
-(p0)   addl      table_ptr1   = @ltoff(Constants_atan#), gp
-(p0)   fclass.m.unc p0,p9 = ArgY_orig, 0x1FF
-	nop.i 999 ;;
+      ld8 table_ptr1 = [table_ptr1]                  // Get table pointer
+      fnorm.s1 ArgY = ArgY_orig
+      nop.i 999
 }
 { .mfi
-       ld8 table_ptr1 = [table_ptr1]
-(p0)   fclass.m.unc p0,p8 = ArgX_orig, 0x1FF
-	nop.i 999
+      nop.m 999
+      fnorm.s1 ArgX = f1
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p0)   fclass.m.unc p13,p0 = ArgY_orig, 0x0C3
-	nop.i 999 ;;
+      getf.exp sign_X = f1               // Get signexp of x
+      fmerge.s ArgX_abs = f0, f1         // Form |x|
+      nop.i 999
 }
 { .mfi
-(p0)   fclass.m.unc p12,p0 = ArgX_orig, 0x0C3
-	nop.i 999
+      nop.m 999
+      fnorm.s1 ArgX_orig = f1
+      nop.i 999
 }
+;;
 
+{ .mfi
+      getf.exp sign_Y = ArgY_orig        // Get signexp of y
+      fmerge.s ArgY_abs = f0, ArgY_orig  // Form |y|
+      mov table_base = table_ptr1        // Save base pointer to tables
+}
+;;
 
-//
-//     Check for NatVals.
-//     Check for everything - if false, then must be pseudo-zero
-//     or pseudo-nan (IA unsupporteds).
-//
-{ .mib
-	nop.m 999
-	nop.i 999
-(p6)   br.cond.spnt L(ATANL_NATVAL) ;;
+{ .mfi
+      ldfd P_hi = [table_ptr1],8         // Load double precision hi part of pi
+      fclass.m p8,p0 = ArgY_orig, 0x1e7  // Test y natval, nan, inf, zero
+      nop.i 999 
 }
+;;
 
-{ .mib
-	nop.m 999
-	nop.i 999
-(p7)   br.cond.spnt L(ATANL_NATVAL) ;;
+{ .mfi
+      ldfps P_lo, TWO_TO_NEG3 = [table_ptr1], 8 // Load P_lo and constant 2^-3
+      nop.f 999 
+      nop.i 999 
 }
-{ .mib
-(p0)   ldfd P_hi = [table_ptr1],8
-	nop.i 999
-(p8)   br.cond.spnt L(ATANL_UNSUPPORTED) ;;
+{ .mfi
+      nop.m 999
+      fma.s1 M = f1, f1, f0              // Set M = 1.0
+      nop.i 999 
 }
-{ .mbb
-(p0)   add table_ptr2 = 96, table_ptr1
-(p9)   br.cond.spnt L(ATANL_UNSUPPORTED)
+;;
+
 //
-//     Load double precision high-order part of pi
+//     Check for everything - if false, then must be pseudo-zero
+//     or pseudo-nan (IA unsupporteds).
 //
-(p12)  br.cond.spnt L(ATANL_NAN) ;;
-}
 { .mfb
-	nop.m 999
-(p0)   fnorm.s1 ArgX = ArgX
-(p13)  br.cond.spnt L(ATANL_NAN) ;;
-}
-//
-//     Normalize the input argument.
-//     Branch out if NaN inputs
-//
-{ .mmf
-(p0)   ldfs P_lo = [table_ptr1], 4
-	nop.m 999
-(p0)   fnorm.s1 ArgY = ArgY ;;
+      nop.m 999
+      fclass.m p0,p12 = f1, 0x1FF        // Test x unsupported
+(p8)  br.cond.spnt ATANL_Y_SPECIAL       // Branch if y natval, nan, inf, zero
 }
-{ .mmf
-	nop.m 999
-(p0)   ldfs TWO_TO_NEG3 = [table_ptr1], 180
-//
+;;
+
 //     U = max(ArgX_abs,ArgY_abs)
 //     V = min(ArgX_abs,ArgY_abs)
-//     if PR1, swap = 0
-//     if PR2, swap = 1
-//
-(p0)   mov M = f1 ;;
-}
 { .mfi
-	nop.m 999
-//
-//     Get exp and sign of ArgX
-//     Get exp and sign of ArgY
-//     Load 2**(-3) and increment ptr to Q_4.
-//
-(p0)   fmerge.s ArgX_abs = f1, ArgX
-	nop.i 999 ;;
+      nop.m 999
+      fcmp.ge.s1 p6,p7 = Xsq, Ysq        // Test for |x| >= |y| using squares
+      nop.i 999 
 }
-//
-//     load single precision low-order part of pi = P_lo
-//
+{ .mfb
+      nop.m 999
+      fma.s1 V = ArgX_abs, f1, f0        // Set V assuming |x| < |y|
+      br.cond.sptk ATANL_COMMON          // Branch to common code
+}
+;;
+
+GLOBAL_IEEE754_END(atanl)
+GLOBAL_IEEE754_ENTRY(atan2l)
+
 { .mfi
-(p0)   getf.exp sign_X = ArgX
-(p0)   fmerge.s ArgY_abs = f1, ArgY
-	nop.i 999 ;;
+      alloc r32 = ar.pfs, 0, 17, 4, 0
+      fma.s1 Ysq = ArgY_orig, ArgY_orig, f0          // Form y*y
+      nop.i 999
 }
-{ .mii
-(p0)   getf.exp sign_Y = ArgY
-	nop.i 999 ;;
-(p0)   shr sign_X = sign_X, 17 ;;
+{ .mfi
+      addl table_ptr1 = @ltoff(Constants_atan#), gp  // Address of table pointer
+      fma.s1 Xsq = ArgX_orig, ArgX_orig, f0          // Form x*x
+      nop.i 999
 }
-{ .mii
-	nop.m 999
-(p0)   shr sign_Y = sign_Y, 17 ;;
-(p0)   cmp.eq.unc p8, p9 = 0x00000, sign_Y ;;
+;;
+
+{ .mfi
+      ld8 table_ptr1 = [table_ptr1]                  // Get table pointer
+      fnorm.s1 ArgY = ArgY_orig
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-//
-//     Is ArgX_abs >= ArgY_abs
-//     Is sign_Y == 0?
-//
-(p0)   fmax.s1 U = ArgX_abs, ArgY_abs
-	nop.i 999
+      nop.m 999
+      fnorm.s1 ArgX = ArgX_orig
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-//
-//     ArgX_abs = |ArgX|
-//     ArgY_abs = |ArgY|
-//     sign_X is sign bit of ArgX
-//     sign_Y is sign bit of ArgY
-//
-(p0)   fcmp.ge.s1 p6, p7 = ArgX_abs, ArgY_abs
-	nop.i 999 ;;
+      getf.exp sign_X = ArgX_orig        // Get signexp of x
+      fmerge.s ArgX_abs = f0, ArgX_orig  // Form |x|
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p0)   fmin.s1 V = ArgX_abs, ArgY_abs
-	nop.i 999 ;;
+      getf.exp sign_Y = ArgY_orig        // Get signexp of y
+      fmerge.s ArgY_abs = f0, ArgY_orig  // Form |y|
+      mov table_base = table_ptr1        // Save base pointer to tables
 }
+;;
+
 { .mfi
-	nop.m 999
-(p8)   fadd.s1 s_Y = f0, f1
-(p6)   cmp.eq.unc p10, p11 = 0x00000, sign_X
+      ldfd P_hi = [table_ptr1],8         // Load double precision hi part of pi
+      fclass.m p8,p0 = ArgY_orig, 0x1e7  // Test y natval, nan, inf, zero
+      nop.i 999 
 }
-{ .mii
-(p6)   add swap = r0, r0
-	nop.i 999 ;;
-(p7)   add swap = 1, r0
+;;
+
+{ .mfi
+      ldfps P_lo, TWO_TO_NEG3 = [table_ptr1], 8 // Load P_lo and constant 2^-3
+      fclass.m p9,p0 = ArgX_orig, 0x1e7  // Test x natval, nan, inf, zero
+      nop.i 999 
 }
 { .mfi
-	nop.m 999
+      nop.m 999
+      fma.s1 M = f1, f1, f0              // Set M = 1.0
+      nop.i 999 
+}
+;;
+
 //
-//     Let M = 1.0
-//     if p8, s_Y = 1.0
-//     if p9, s_Y = -1.0
+//     Check for everything - if false, then must be pseudo-zero
+//     or pseudo-nan (IA unsupporteds).
 //
-(p10)  fsub.s1 M = M, f1
-	nop.i 999 ;;
+{ .mfb
+      nop.m 999
+      fclass.m p0,p12 = ArgX_orig, 0x1FF // Test x unsupported
+(p8)  br.cond.spnt ATANL_Y_SPECIAL       // Branch if y natval, nan, inf, zero
 }
+;;
+
+//     U = max(ArgX_abs,ArgY_abs)
+//     V = min(ArgX_abs,ArgY_abs)
 { .mfi
-	nop.m 999
-(p9)   fsub.s1 s_Y = f0, f1
-	nop.i 999 ;;
+      nop.m 999
+      fcmp.ge.s1 p6,p7 = Xsq, Ysq        // Test for |x| >= |y| using squares
+      nop.i 999 
 }
+{ .mfb
+      nop.m 999
+      fma.s1 V = ArgX_abs, f1, f0        // Set V assuming |x| < |y|
+(p9)  br.cond.spnt ATANL_X_SPECIAL       // Branch if x natval, nan, inf, zero
+}
+;;
+
+// Now common code for atanl and atan2l
+ATANL_COMMON:
 { .mfi
-	nop.m 999
-(p0)   frcpa.s1 E, p6 = V, U
-	nop.i 999 ;;
+      nop.m 999
+      fclass.m p0,p13 = ArgY_orig, 0x1FF // Test y unsupported
+      shr sign_X = sign_X, 17            // Get sign bit of x
+}
+{ .mfi
+      nop.m 999
+      fma.s1 U = ArgY_abs, f1, f0        // Set U assuming |x| < |y|
+      adds table_ptr1 = 176, table_ptr1  // Point to Q4
 }
-{ .mbb
-	nop.m 999
+;;
+
+{ .mfi
+(p6)  add swap = r0, r0                  // Set swap=0 if |x| >= |y|
+(p6)  frcpa.s1 E, p0 = ArgY_abs, ArgX_abs // Compute E if |x| >= |y|
+      shr sign_Y = sign_Y, 17            // Get sign bit of y
+}
+{ .mfb
+      nop.m 999
+(p6)  fma.s1 V = ArgY_abs, f1, f0        // Set V if |x| >= |y|
+(p12) br.cond.spnt ATANL_UNSUPPORTED     // Branch if x unsupported
+}
+;;
+
+// Set p8 if y >=0
+// Set p9 if y < 0
+// Set p10 if |x| >= |y| and x >=0
+// Set p11 if |x| >= |y| and x < 0
+{ .mfi
+      cmp.eq p8, p9 = 0, sign_Y          // Test for y >= 0
+(p7)  frcpa.s1 E, p0 = ArgX_abs, ArgY_abs // Compute E if |x| < |y|
+(p7)  add swap = 1, r0                   // Set swap=1 if |x| < |y|
+}
+{ .mfb
+(p6)  cmp.eq.unc p10, p11 = 0, sign_X    // If |x| >= |y|, test for x >= 0
+(p6)  fma.s1 U = ArgX_abs, f1, f0        // Set U if |x| >= |y|
+(p13) br.cond.spnt ATANL_UNSUPPORTED     // Branch if y unsupported
+}
+;;
+
 //
-//     E = frcpa(V,U)
+//     if p8, s_Y = 1.0
+//     if p9, s_Y = -1.0
 //
-(p6)   br.cond.sptk L(ATANL_STEP2)
-(p0)   br.cond.spnt L(ATANL_SPECIAL_HANDLING) ;;
+.pred.rel "mutex",p8,p9
+{ .mfi
+      nop.m 999
+(p8)  fadd.s1 s_Y = f0, f1               // If y >= 0 set s_Y = 1.0
+      nop.i 999
 }
-L(ATANL_STEP2): 
 { .mfi
-	nop.m 999
-(p0)   fmpy.s1 Q = E, V
-	nop.i 999
+      nop.m 999
+(p9)  fsub.s1 s_Y = f0, f1               // If y < 0 set s_Y = -1.0
+      nop.i 999
 }
+;;
+
+.pred.rel "mutex",p10,p11
 { .mfi
-	nop.m 999
-(p0)   fcmp.eq.s0     p0, p9 = f1, ArgY_orig
-	nop.i 999 ;;
+      nop.m 999
+(p10) fsub.s1 M = M, f1                  // If |x| >= |y| and x >=0, set M=0
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-//
-//     Is Q < 2**(-3)?
-//
-(p0)   fcmp.eq.s0     p0, p8 = f1, ArgX_orig
-	nop.i 999
+      nop.m 999
+(p11) fadd.s1 M = M, f1                  // If |x| >= |y| and x < 0, set M=2.0
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p11)  fadd.s1 M = M, f1
-	nop.i 999 ;;
+      nop.m 999
+      fcmp.eq.s0 p0, p9 = ArgX_orig, ArgY_orig // Dummy to set denormal flag
+      nop.i 999
 }
-{ .mlx
-	nop.m 999
 // *************************************************
 // ********************* STEP2 *********************
 // *************************************************
-(p0)   movl special = 0x8400000000000000
-}
-{ .mlx
-	nop.m 999
 //
-//     lookup = b_1 b_2 b_3 B_4
+//     Q = E * V
 //
-(p0)   movl special1 = 0x0000000000000100 ;;
+{ .mfi
+      nop.m 999
+      fmpy.s1 Q = E, V
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-//
-//     Do fnorms to raise any denormal operand
-//     exceptions.
-//
-(p0)   fmpy.s1 P_hi = M, P_hi
-	nop.i 999
+      nop.m 999
+      fnma.s1 E_hold = E, U, f1           // E_hold = 1.0 - E*U (1) if POLY path
+      nop.i 999
 }
+;;
+
+// Create a single precision representation of the signexp of Q with the 
+// 4 most significant bits of the significand followed by a 1 and then 18 0's
 { .mfi
-	nop.m 999
-(p0)   fmpy.s1 P_lo = M, P_lo
-	nop.i 999 ;;
+      nop.m 999
+      fmpy.s1 P_hi = M, P_hi
+      dep.z special = 0x1, 18, 1           // Form 0x0000000000040000
 }
 { .mfi
-	nop.m 999
-//
-//     Q = E * V
-//
-(p0)   fcmp.lt.unc.s1 p6, p7 = Q, TWO_TO_NEG3
-	nop.i 999 ;;
+      nop.m 999
+      fmpy.s1 P_lo = M, P_lo
+      add table_ptr2 = 32, table_ptr1
 }
-{ .mmb
-(p0)   getf.sig significand_Q = Q
-(p0)   getf.exp exponent_Q =  Q
-	nop.b 999 ;;
+;;
+
+{ .mfi
+      nop.m 999
+      fma.s1 A_temp = Q, f1, f0            // Set A_temp if POLY path
+      nop.i 999
 }
-{ .mmi
-	nop.m 999 ;;
-(p0)   andcm k = 0x0003, exponent_Q
-(p0)   extr.u lookup = significand_Q, 59, 4 ;;
+{ .mfi
+      nop.m 999
+      fma.s1 E = E, E_hold, E              // E = E + E*E_hold (1) if POLY path
+      nop.i 999
 }
-{ .mib
-	nop.m 999
-(p0)   dep special = lookup, special, 59, 4
+;;
+
 //
-//     Generate 1.b_1 b_2 b_3 b_4 1 0 0 0 ... 0
+//     Is Q < 2**(-3)?
+//     swap = xor(swap,sign_X)
 //
-(p6)   br.cond.spnt L(ATANL_POLY) ;;
-}
 { .mfi
-(p0)   cmp.eq.unc p8, p9 = 0x0000, k
-(p0)   fmpy.s1 P_hi = s_Y, P_hi
+      nop.m 999
+      fcmp.lt.s1 p9, p0 = Q, TWO_TO_NEG3    // Test Q < 2^-3
+      xor swap = sign_X, swap
+}
+;;
+
+//     P_hi = s_Y * P_hi
+{ .mmf
+      getf.exp exponent_Q =  Q              // Get signexp of Q
+      cmp.eq.unc p7, p6 = 0x00000, swap
+      fmpy.s1 P_hi = s_Y, P_hi
+}
+;;
+
 //
-//     We waited a few extra cycles so P_lo and P_hi could be calculated.
-//     Load the constant 256 for loading up table entries.
+//     if (PR_1) sigma = -1.0
+//     if (PR_2) sigma =  1.0
+//
+{ .mfi
+      getf.sig significand_Q = Q            // Get significand of Q
+(p6)  fsub.s1 sigma = f0, f1
+      nop.i 999
+}
+{ .mfb
+(p9)  add table_ptr1 = 128, table_base      // Point to P8 if POLY path
+(p7)  fadd.s1 sigma = f0, f1
+(p9)  br.cond.spnt ATANL_POLY               // Branch to POLY if 0 < Q < 2^-3
+}
+;;
+
 //
 // *************************************************
 // ******************** STEP3 **********************
 // *************************************************
-(p0)   add table_ptr2 = 16, table_ptr1
-}
 //
-//     Let z_hi have exponent and sign of original Q
-//     Load the Tbl_hi(0) else, increment pointer.
+//     lookup = b_1 b_2 b_3 B_4
 //
-{ .mii
-(p0)   ldfe Q_4 = [table_ptr1], -16
-(p0)   xor swap = sign_X, swap ;;
-(p9)   sub k = k, r0, 1
-}
 { .mmi
-(p0)   setf.sig z_hi = special
-(p0)   ldfe Q_3 = [table_ptr1], -16
-(p9)   add table_ptr2 = 16, table_ptr2 ;;
+      nop.m 999
+      nop.m 999
+      andcm k = 0x0003, exponent_Q  // k=0,1,2,3 for exp_Q=0,-1,-2,-3
 }
+;;
+
 //
-//     U_hold = U - U_prime_hi
-//     k = k * 256 - Result can be 0, 256, or 512.
+//  Generate sign_exp_Q b_1 b_2 b_3 b_4 1 0 0 0 ... 0  in single precision 
+//  representation.  Note sign of Q is always 0.
 //
-{ .mmb
-(p0)   ldfe Q_2 = [table_ptr1], -16
-(p8)   ldfd Tbl_hi = [table_ptr2], 8
-	nop.b 999 ;;
+{ .mfi
+      cmp.eq p8, p9 = 0x0000, k             // Test k=0
+      nop.f 999
+      extr.u lookup = significand_Q, 59, 4  // Extract b_1 b_2 b_3 b_4 for index
 }
-//
-//     U_prime_lo =  U_hold + V * z_hi
-//     lookup -> lookup * 16 + k
-//
-{ .mmi
-(p0)   ldfe Q_1 = [table_ptr1], -16 ;;
-(p8)   ldfs Tbl_lo = [table_ptr2], 8
-//
-//     U_prime_hi = U + V * z_hi
-//     Load the Tbl_lo(0)
-//
-(p9)   pmpy2.r k = k, special1 ;;
+{ .mfi
+      sub sp_exp_Q = 0x7f, k                // Form single prec biased exp of Q
+      nop.f 999
+      sub k = k, r0, 1                      // Decrement k
 }
-{ .mii
-	nop.m 999
-	nop.i 999 
-	nop.i 999 ;;
+;;
+
+//     Form pointer to B index table
+{ .mfi
+      ldfe Q_4 = [table_ptr1], -16          // Load Q_4
+      nop.f 999
+(p9)  shl k = k, 8                          // k = 0, 256, or 512
 }
-{ .mii
-	nop.m 999
-	nop.i 999 
-	nop.i 999 ;;
+{ .mfi
+(p9)  shladd table_ptr2 = lookup, 4, table_ptr2
+      nop.f 999
+      shladd sp_exp_4sig_Q = sp_exp_Q, 4, lookup // Shift and add in 4 high bits
 }
-{ .mii
-	nop.m 999
-	nop.i 999 
-	nop.i 999 ;;
+;;
+
+{ .mmi
+(p8)  add table_ptr2 = -16, table_ptr2      // Pointer if original k was 0
+(p9)  add table_ptr2 = k, table_ptr2        // Pointer if k was 1, 2, 3
+      dep special = sp_exp_4sig_Q, special, 19, 13 // Form z_hi as single prec
 }
-{ .mii
-	nop.m 999
-	nop.i 999 ;;
-(p9)   shladd lookup = lookup, 0x0004, k ;;
+;;
+
+//     z_hi = s exp 1.b_1 b_2 b_3 b_4 1 0 0 0 ... 0
+{ .mmi
+      ldfd Tbl_hi = [table_ptr2], 8         // Load Tbl_hi from index table
+;;
+      setf.s z_hi = special                 // Form z_hi
+      nop.i 999
 }
 { .mmi
-(p9)   add table_ptr2 = table_ptr2, lookup ;;
-//
-//     V_prime =  V - U * z_hi
-//
-(p9)   ldfd Tbl_hi = [table_ptr2], 8
-	nop.i 999 ;;
+      ldfs Tbl_lo = [table_ptr2], 8         // Load Tbl_lo from index table
+;;
+      ldfe Q_3 = [table_ptr1], -16          // Load Q_3
+      nop.i 999
 }
+;;
+
+{ .mmi
+      ldfe Q_2 = [table_ptr1], -16          // Load Q_2
+      nop.m 999
+      nop.i 999
+}
+;;
+
 { .mmf
-	nop.m 999
-//
-//     C_hi = frcpa(1,U_prime_hi)
-//
-(p9)   ldfs Tbl_lo = [table_ptr2], 8
-//
-//     z_hi = s exp 1.b_1 b_2 b_3 b_4 1 0 0 0 ... 0
-//     Point to beginning of Tbl_hi entries - k = 0.
-//
-(p0)   fmerge.se z_hi = Q, z_hi ;;
+      ldfe Q_1 = [table_ptr1], -16          // Load Q_1
+      nop.m 999
+      nop.f 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p0)   fma.s1 U_prime_hi = V, z_hi, U
-	nop.i 999
+      nop.m 999
+      fma.s1 U_prime_hi = V, z_hi, U        // U_prime_hi = U + V * z_hi
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-(p0)   fnma.s1 V_prime = U, z_hi, V
-	nop.i 999 ;;
+      nop.m 999
+      fnma.s1 V_prime = U, z_hi, V          // V_prime =  V - U * z_hi
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p0)   mov A_hi = Tbl_hi
-	nop.i 999 ;;
+      nop.m 999
+      mov A_hi = Tbl_hi                     // Start with A_hi = Tbl_hi
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p0)   fsub.s1 U_hold = U, U_prime_hi
-	nop.i 999 ;;
+      nop.m 999
+      fsub.s1 U_hold = U, U_prime_hi        // U_hold = U - U_prime_hi
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p0)   frcpa.s1 C_hi, p6 = f1, U_prime_hi
-	nop.i 999 ;;
+      nop.m 999
+      frcpa.s1 C_hi, p0 = f1, U_prime_hi    // C_hi = frcpa(1,U_prime_hi)
+      nop.i 999
 }
+;;
+
 { .mfi
-(p0)   cmp.eq.unc p7, p6 = 0x00000, swap
-(p0)   fmpy.s1 A_hi = s_Y, A_hi
-	nop.i 999 ;;
+      nop.m 999
+      fmpy.s1 A_hi = s_Y, A_hi              // A_hi = s_Y * A_hi
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-//
-//     poly = wsq * poly
-//
-(p7)   fadd.s1 sigma = f0, f1
-	nop.i 999 ;;
+      nop.m 999
+      fma.s1 U_prime_lo = z_hi, V, U_hold   // U_prime_lo =  U_hold + V * z_hi
+      nop.i 999
 }
+;;
+
+//     C_hi_hold = 1 - C_hi * U_prime_hi (1)
 { .mfi
-	nop.m 999
-(p0)   fma.s1 U_prime_lo = z_hi, V, U_hold
-	nop.i 999
+      nop.m 999
+      fnma.s1 C_hi_hold = C_hi, U_prime_hi, f1 
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p6)   fsub.s1 sigma = f0, f1
-	nop.i 999 ;;
+      nop.m 999
+      fma.s1 Res_hi = sigma, A_hi, P_hi   // Res_hi = P_hi + sigma * A_hi
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p0)   fnma.s1 C_hi_hold = C_hi, U_prime_hi, f1
-	nop.i 999 ;;
+      nop.m 999
+      fma.s1 C_hi = C_hi_hold, C_hi, C_hi // C_hi = C_hi + C_hi * C_hi_hold (1)
+      nop.i 999
 }
+;;
+
+//     C_hi_hold = 1 - C_hi * U_prime_hi (2)
 { .mfi
-	nop.m 999
-//
-//     A_lo = A_lo + w_hi
-//     A_hi = s_Y * A_hi
-//
-(p0)   fma.s1 Res_hi = sigma, A_hi, P_hi
-	nop.i 999 ;;
+      nop.m 999
+      fnma.s1 C_hi_hold = C_hi, U_prime_hi, f1
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-//
-//     C_hi_hold = 1 - C_hi * U_prime_hi (1)
-//
-(p0)   fma.s1 C_hi = C_hi_hold, C_hi, C_hi
-	nop.i 999 ;;
+      nop.m 999
+      fma.s1 C_hi = C_hi_hold, C_hi, C_hi // C_hi = C_hi + C_hi * C_hi_hold (2)
+      nop.i 999
 }
+;;
+
+//     C_hi_hold = 1 - C_hi * U_prime_hi (3)
 { .mfi
-	nop.m 999
-//
-//     C_hi = C_hi + C_hi * C_hi_hold    (1)
-//
-(p0)   fnma.s1 C_hi_hold = C_hi, U_prime_hi, f1
-	nop.i 999 ;;
+      nop.m 999
+      fnma.s1 C_hi_hold = C_hi, U_prime_hi, f1 
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-//
-//     C_hi_hold = 1 - C_hi * U_prime_hi (2)
-//
-(p0)   fma.s1 C_hi = C_hi_hold, C_hi, C_hi
-	nop.i 999 ;;
+      nop.m 999
+      fma.s1 C_hi = C_hi_hold, C_hi, C_hi // C_hi = C_hi + C_hi * C_hi_hold (3)
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-//
-//     C_hi = C_hi + C_hi * C_hi_hold    (2)
-//
-(p0)   fnma.s1 C_hi_hold = C_hi, U_prime_hi, f1
-	nop.i 999 ;;
+      nop.m 999
+      fmpy.s1 w_hi = V_prime, C_hi           // w_hi = V_prime * C_hi
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-//
-//     C_hi_hold = 1 - C_hi * U_prime_hi (3)
-//
-(p0)   fma.s1 C_hi = C_hi_hold, C_hi, C_hi
-	nop.i 999 ;;
+      nop.m 999
+      fmpy.s1 wsq = w_hi, w_hi               // wsq = w_hi * w_hi
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-//
-//     C_hi = C_hi + C_hi * C_hi_hold    (3)
-//
-(p0)   fmpy.s1 w_hi = V_prime, C_hi
-	nop.i 999 ;;
+      nop.m 999
+      fnma.s1 w_lo = w_hi, U_prime_hi, V_prime // w_lo = V_prime-w_hi*U_prime_hi
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-//
-//     w_hi = V_prime * C_hi
-//
-(p0)   fmpy.s1 wsq = w_hi, w_hi
-	nop.i 999
+      nop.m 999
+      fma.s1 poly =  wsq, Q_4, Q_3           // poly = Q_3 + wsq * Q_4
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-(p0)   fnma.s1 w_lo = w_hi, U_prime_hi, V_prime
-	nop.i 999 ;;
+      nop.m 999
+      fnma.s1 w_lo = w_hi, U_prime_lo, w_lo  // w_lo = w_lo - w_hi * U_prime_lo
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-//
-//     wsq = w_hi * w_hi
-//     w_lo =  = V_prime - w_hi * U_prime_hi
-//
-(p0)   fma.s1 poly =  wsq, Q_4, Q_3
-	nop.i 999
+      nop.m 999
+      fma.s1 poly = wsq, poly, Q_2           // poly = Q_2 + wsq * poly
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-(p0)   fnma.s1 w_lo = w_hi, U_prime_lo, w_lo
-	nop.i 999 ;;
+      nop.m 999
+      fmpy.s1 w_lo = C_hi, w_lo              // w_lo =  = w_lo * C_hi
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-//
-//     poly = Q_3 + wsq * Q_4
-//     w_lo =  = w_lo - w_hi * U_prime_lo
-//
-(p0)   fma.s1 poly = wsq, poly, Q_2
-	nop.i 999
+      nop.m 999
+      fma.s1 poly = wsq, poly, Q_1           // poly = Q_1 + wsq * poly
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-(p0)   fmpy.s1 w_lo = C_hi, w_lo
-	nop.i 999 ;;
+      nop.m 999
+      fadd.s1 A_lo = Tbl_lo, w_lo            // A_lo = Tbl_lo + w_lo
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-//
-//     poly = Q_2 + wsq * poly
-//     w_lo =  = w_lo * C_hi
-//
-(p0)   fma.s1 poly = wsq, poly, Q_1
-	nop.i 999
+      nop.m 999
+      fmpy.s0 Q_1 =  Q_1, Q_1                // Dummy operation to raise inexact
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p0)   fadd.s1 A_lo = Tbl_lo, w_lo
-	nop.i 999 ;;
+      nop.m 999
+      fmpy.s1 poly = wsq, poly               // poly = wsq * poly
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-//
-//     Result  =  Res_hi + Res_lo * s_Y  (User Supplied Rounding Mode)
-//
-(p0)   fmpy.s0 Q_1 =  Q_1, Q_1
-	nop.i 999 ;;
+      nop.m 999
+      fmpy.s1 poly = w_hi, poly              // poly = w_hi * poly
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-//
-//     poly = Q_1 + wsq * poly
-//     A_lo = Tbl_lo + w_lo
-//     swap = xor(swap,sign_X)
-//
-(p0)   fmpy.s1 poly = wsq, poly
-	nop.i 999 ;;
+      nop.m 999
+      fadd.s1 A_lo = A_lo, poly              // A_lo = A_lo + poly
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-//
-//     Is (swap) != 0 ?
-//     poly = wsq * poly
-//     A_hi = Tbl_hi
-//
-(p0)   fmpy.s1 poly = w_hi, poly
-	nop.i 999 ;;
+      nop.m 999
+      fadd.s1 A_lo = A_lo, w_hi              // A_lo = A_lo + w_hi
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-//
-//     if (PR_1) sigma = -1.0
-//     if (PR_2) sigma =  1.0
-//
-(p0)   fadd.s1 A_lo = A_lo, poly
-	nop.i 999 ;;
+      nop.m 999
+      fma.s1 Res_lo = sigma, A_lo, P_lo      // Res_lo = P_lo + sigma * A_lo
+      nop.i 999
 }
-{ .mfi
-	nop.m 999
+;;
+
 //
-//     P_hi = s_Y * P_hi
-//     A_lo = A_lo + poly
+//     Result  =  Res_hi + Res_lo * s_Y  (User Supplied Rounding Mode)
 //
-(p0)   fadd.s1 A_lo = A_lo, w_hi
-	nop.i 999 ;;
-}
-{ .mfi
-	nop.m 999
-(p0)   fma.s1 Res_lo = sigma, A_lo, P_lo
-	nop.i 999 ;;
-}
 { .mfb
-	nop.m 999
-//
-//     Res_hi = P_hi + sigma * A_hi
-//     Res_lo = P_lo + sigma * A_lo
-//
-(p0)   fma.s0 Result = Res_lo, s_Y, Res_hi
-//
-//     Raise inexact.
-//
-br.ret.sptk   b0 ;;
-}
-//
-//     poly1 = P_5 + zsq * poly1
-//     poly2 = zsq * poly2
-//
-L(ATANL_POLY): 
-{ .mmf
-(p0)   xor swap = sign_X, swap
-	nop.m 999
-(p0)   fnma.s1 E_hold = E, U, f1 ;;
+      nop.m 999
+      fma.s0 Result = Res_lo, s_Y, Res_hi
+      br.ret.sptk   b0                        // Exit table path 2^-3 <= V/U < 1
 }
-{ .mfi
-	nop.m 999
-(p0)   mov A_temp = Q
+;;
+
+
+ATANL_POLY: 
+// Here if 0 < V/U < 2^-3
 //
-//     poly1 = P_4 + zsq * poly1
-//     swap = xor(swap,sign_X)
+// ***********************************************
+// ******************** STEP4 ********************
+// ***********************************************
+
 //
-//     sign_X            gr_002
-//     swap              gr_004
-//     poly1 = poly1 <== Done with poly1
-//     poly1 = P_4 + zsq * poly1
-//     swap = xor(swap,sign_X)
+//     Following:
+//     Iterate 3 times E = E + E*(1.0 - E*U)
+//     Also load P_8, P_7, P_6, P_5, P_4
 //
-(p0)   cmp.eq.unc p7, p6 = 0x00000, swap
-}
-{ .mfi
-	nop.m 999
-(p0)   fmpy.s1 P_hi = s_Y, P_hi
-	nop.i 999 ;;
-}
 { .mfi
-	nop.m 999
-(p6)   fsub.s1 sigma = f0, f1
-	nop.i 999
+      ldfe P_8 = [table_ptr1], -16            // Load P_8
+      fnma.s1 z_lo = A_temp, U, V             // z_lo = V - A_temp * U
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-(p7)   fadd.s1 sigma = f0, f1
-	nop.i 999 ;;
-}
-
-// ***********************************************
-// ******************** STEP4 ********************
-// ***********************************************
-
-{ .mmi
       nop.m 999
-(p0)  addl           table_ptr1   = @ltoff(Constants_atan#), gp
+      fnma.s1 E_hold = E, U, f1               // E_hold = 1.0 - E*U (2)
       nop.i 999
 }
 ;;
 
 { .mmi
-      ld8 table_ptr1 = [table_ptr1]
-      nop.m 999
+      ldfe P_7 = [table_ptr1], -16            // Load P_7
+;;
+      ldfe P_6 = [table_ptr1], -16            // Load P_6
       nop.i 999
 }
 ;;
 
-
 { .mfi
-	nop.m 999
-(p0)   fma.s1 E = E, E_hold, E
-//
-//     Following:
-//     Iterate 3 times E = E + E*(1.0 - E*U)
-//     Also load P_8, P_7, P_6, P_5, P_4
-//     E_hold = 1.0 - E * U     (1)
-//     A_temp = Q
-//
-(p0)   add table_ptr1 = 128, table_ptr1 ;;
-}
-{ .mmf
-	nop.m 999
-//
-//     E = E + E_hold*E         (1)
-//     Point to P_8.
-//
-(p0)   ldfe P_8 = [table_ptr1], -16
-//
-//     poly = z8*poly1 + poly2  (Typo in writeup)
-//     Is (swap) != 0 ?
-//
-(p0)   fnma.s1 z_lo = A_temp, U, V ;;
+      ldfe P_5 = [table_ptr1], -16            // Load P_5
+      fma.s1 E = E, E_hold, E                 // E = E + E_hold*E (2)
+      nop.i 999
 }
-{ .mmb
-	nop.m 999
-//
-//     E_hold = 1.0 - E * U     (2)
-//
-(p0)   ldfe P_7 = [table_ptr1], -16
-	nop.b 999 ;;
+;;
+
+{ .mmi
+      ldfe P_4 = [table_ptr1], -16            // Load P_4
+;;
+      ldfe P_3 = [table_ptr1], -16            // Load P_3
+      nop.i 999
 }
-{ .mmb
-	nop.m 999
-//
-//     E = E + E_hold*E         (2)
-//
-(p0)   ldfe P_6 = [table_ptr1], -16
-	nop.b 999 ;;
+;;
+
+{ .mfi
+      ldfe P_2 = [table_ptr1], -16            // Load P_2
+      fnma.s1 E_hold = E, U, f1               // E_hold = 1.0 - E*U (3)
+      nop.i 999
 }
-{ .mmb
-	nop.m 999
-//
-//     E_hold = 1.0 - E * U     (3)
-//
-(p0)   ldfe P_5 = [table_ptr1], -16
-	nop.b 999 ;;
+{ .mlx
+      nop.m 999
+      movl         int_temp = 0x24005         // Signexp for small neg number
 }
+;;
+
 { .mmf
-	nop.m 999
-//
-//     E = E + E_hold*E         (3)
+      ldfe P_1 = [table_ptr1], -16            // Load P_1
+      setf.exp     tmp_small = int_temp       // Form small neg number
+      fma.s1 E = E, E_hold, E                 // E = E + E_hold*E (3)
+}
+;;
+
 //
 //
 // At this point E approximates 1/U to roughly working precision
-// z = V*E approximates V/U
+// Z = V*E approximates V/U
 //
-(p0)   ldfe P_4 = [table_ptr1], -16
-(p0)   fnma.s1 E_hold = E, U, f1 ;;
+{ .mfi
+      nop.m 999
+      fmpy.s1 Z = V, E                         // Z = V * E
+      nop.i 999
 }
-{ .mmb
-	nop.m 999
-//
-//     Z =   V * E
-//
-(p0)   ldfe P_3 = [table_ptr1], -16
-	nop.b 999 ;;
+{ .mfi
+      nop.m 999
+      fmpy.s1 z_lo = z_lo, E                   // z_lo = z_lo * E
+      nop.i 999
 }
-{ .mmb
-	nop.m 999
+;;
+
 //
-//     zsq = Z * Z
+//     Now what we want to do is
+//     poly1 = P_4 + zsq*(P_5 + zsq*(P_6 + zsq*(P_7 + zsq*P_8)))
+//     poly2 = zsq*(P_1 + zsq*(P_2 + zsq*P_3))
 //
-(p0)   ldfe P_2 = [table_ptr1], -16
-	nop.b 999 ;;
-}
-{ .mmb
-	nop.m 999
 //
-//     z8 = zsq * zsq
+//     Fixup added to force inexact later -
+//     A_hi = A_temp + z_lo
+//     z_lo = (A_temp - A_hi) + z_lo
 //
-(p0)   ldfe P_1 = [table_ptr1], -16
-	nop.b 999 ;;
-}
-{ .mlx
-	nop.m 999
-(p0)   movl         int_temp = 0x24005
-}
 { .mfi
-	nop.m 999
-(p0)   fma.s1 E = E, E_hold, E
-	nop.i 999 ;;
+      nop.m 999
+      fmpy.s1 zsq = Z, Z                        // zsq = Z * Z
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-(p0)   fnma.s1 E_hold = E, U, f1
-	nop.i 999 ;;
+      nop.m 999
+      fadd.s1 A_hi = A_temp, z_lo               // A_hi = A_temp + z_lo
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p0)   fma.s1 E = E, E_hold, E
-	nop.i 999 ;;
+      nop.m 999
+      fma.s1 poly1 = zsq, P_8, P_7              // poly1 = P_7 + zsq * P_8
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-(p0)   fmpy.s1 Z = V, E
-	nop.i 999
+      nop.m 999
+      fma.s1 poly2 = zsq, P_3, P_2              // poly2 = P_2 + zsq * P_3
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-//
-//     z_lo = V - A_temp * U
-//     if (PR_2) sigma =  1.0
-//
-(p0)   fmpy.s1 z_lo = z_lo, E
-	nop.i 999 ;;
+      nop.m 999
+      fmpy.s1 z4 = zsq, zsq                     // z4 = zsq * zsq
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-(p0)   fmpy.s1 zsq = Z, Z
-	nop.i 999
+      nop.m 999
+      fsub.s1 A_temp = A_temp, A_hi             // A_temp = A_temp - A_hi
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-//
-//     z_lo = z_lo * E
-//     if (PR_1) sigma = -1.0
-//
-(p0)   fadd.s1 A_hi = A_temp, z_lo
-	nop.i 999 ;;
+      nop.m 999
+      fmerge.s     tmp = A_hi, A_hi             // Copy tmp = A_hi
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-//
-//     z8 = z8 * z8
-//
-//
-//     Now what we want to do is
-//     poly1 = P_4 + zsq*(P_5 + zsq*(P_6 + zsq*(P_7 + zsq*P_8)))
-//     poly2 = zsq*(P_1 + zsq*(P_2 + zsq*P_3))
-//
-(p0)   fma.s1 poly1 = zsq, P_8, P_7
-	nop.i 999
+      nop.m 999
+      fma.s1 poly1 = zsq, poly1, P_6            // poly1 = P_6 + zsq * poly1
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-(p0)   fma.s1 poly2 = zsq, P_3, P_2
-	nop.i 999 ;;
+      nop.m 999
+      fma.s1 poly2 = zsq, poly2, P_1            // poly2 = P_2 + zsq * poly2
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p0)   fmpy.s1 z8 = zsq, zsq
-	nop.i 999
+      nop.m 999
+      fmpy.s1 z8 = z4, z4                       // z8 = z4 * z4
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-(p0)   fsub.s1 A_temp = A_temp, A_hi
-	nop.i 999 ;;
+      nop.m 999
+      fadd.s1 z_lo = A_temp, z_lo               // z_lo = (A_temp - A_hi) + z_lo
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-//
-//     A_lo = Z * poly + z_lo
-//
-(p0)   fmerge.s     tmp = A_hi, A_hi
-	nop.i 999 ;;
+      nop.m 999
+      fma.s1 poly1 = zsq, poly1, P_5            // poly1 = P_5 + zsq * poly1
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-//
-//     poly1 = P_7 + zsq * P_8
-//     poly2 = P_2 + zsq * P_3
-//
-(p0)   fma.s1 poly1 = zsq, poly1, P_6
-	nop.i 999
+      nop.m 999
+      fmpy.s1 poly2 = poly2, zsq                // poly2 = zsq * poly2
+      nop.i 999
 }
+;;
+
+//     Create small GR double in case need to raise underflow
 { .mfi
-	nop.m 999
-(p0)   fma.s1 poly2 = zsq, poly2, P_1
-	nop.i 999 ;;
+      nop.m 999
+      fma.s1 poly1 = zsq, poly1, P_4            // poly1 = P_4 + zsq * poly1
+      dep GR_temp = -1,r0,0,53
 }
+;;
+
+//     Create small double in case need to raise underflow
 { .mfi
-	nop.m 999
-(p0)   fmpy.s1 z8 = z8, z8
-	nop.i 999
+      setf.d FR_temp = GR_temp	
+      fma.s1 poly = z8, poly1, poly2            // poly = poly2 + z8 * poly1
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p0)   fadd.s1 z_lo = A_temp, z_lo
-	nop.i 999 ;;
+      nop.m 999
+      fma.s1 A_lo = Z, poly, z_lo               // A_lo = z_lo + Z * poly
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-//
-//     poly1 = P_6 + zsq * poly1
-//     poly2 = P_2 + zsq * poly2
-//
-(p0)   fma.s1 poly1 = zsq, poly1, P_5
-	nop.i 999
+      nop.m 999
+      fadd.s1      A_hi = tmp, A_lo             // A_hi = tmp + A_lo
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p0)   fmpy.s1 poly2 = poly2, zsq
-	nop.i 999 ;;
+      nop.m 999
+      fsub.s1      tmp = tmp, A_hi              // tmp = tmp - A_hi
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-//
-//     Result  =  Res_hi + Res_lo  (User Supplied Rounding Mode)
-//
-(p0)   fmpy.s1 P_5 = P_5, P_5
-	nop.i 999 ;;
+      nop.m 999
+      fmpy.s1 A_hi = s_Y, A_hi                  // A_hi = s_Y * A_hi
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p0)   fma.s1 poly1 = zsq, poly1, P_4
-	nop.i 999 ;;
+      nop.m 999
+      fadd.s1      A_lo = tmp, A_lo             // A_lo = tmp + A_lo
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-(p0)   fma.s1 poly = z8, poly1, poly2
-	nop.i 999 ;;
+      nop.m 999
+      fma.s1 Res_hi = sigma, A_hi, P_hi         // Res_hi = P_hi + sigma * A_hi
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
+      nop.m 999
+      fsub.s1 tmp =  P_hi, Res_hi               // tmp = P_hi - Res_hi
+      nop.i 999
+}
+;;
+
 //
-//     Fixup added to force inexact later -
-//     A_hi = A_temp + z_lo
-//     z_lo = (A_temp - A_hi) + z_lo
+//     Test if A_lo is zero
 //
-(p0)   fma.s1 A_lo = Z, poly, z_lo
-	nop.i 999 ;;
-}
 { .mfi
-	nop.m 999
-(p0)   fadd.s1      A_hi = tmp, A_lo
-	nop.i 999 ;;
+      nop.m 999
+      fclass.m p6,p0 = A_lo, 0x007              // Test A_lo = 0
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p0)   fsub.s1      tmp = tmp, A_hi
-	nop.i 999
+      nop.m 999
+(p6)  mov          A_lo = tmp_small             // If A_lo zero, make very small
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p0)   fmpy.s1 A_hi = s_Y, A_hi
-	nop.i 999 ;;
+      nop.m 999
+      fma.s1 tmp = A_hi, sigma, tmp             // tmp = sigma * A_hi  + tmp
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-(p0)   fadd.s1      A_lo = tmp, A_lo
-	nop.i 999
+      nop.m 999
+      fma.s1 sigma =  A_lo, sigma, P_lo         // sigma = A_lo * sigma  + P_lo
+      nop.i 999
 }
+;;
+
 { .mfi
-(p0)   setf.exp     tmp = int_temp
+      nop.m 999
+      fma.s1 Res_lo = s_Y, sigma, tmp           // Res_lo = s_Y * sigma + tmp
+      nop.i 999
+}
+;;
+
 //
-//     P_hi = s_Y * P_hi
-//     A_hi = s_Y * A_hi
+//     Test if Res_lo is denormal
 //
-(p0)   fma.s1 Res_hi = sigma, A_hi, P_hi
-	nop.i 999 ;;
-}
-{ .mfi
-	nop.m 999
-(p0)   fclass.m.unc p6,p0 = A_lo, 0x007
-	nop.i 999 ;;
-}
 { .mfi
-	nop.m 999
-(p6)   mov          A_lo = tmp
-	nop.i 999
+      nop.m 999
+      fclass.m p14, p15 = Res_lo, 0x0b
+      nop.i 999
 }
-{ .mfi
-	nop.m 999
+;;
+
 //
-//     Res_hi = P_hi + sigma * A_hi
+//     Compute Result = Res_lo + Res_hi.  Use s3 if Res_lo is denormal.
 //
-(p0)   fsub.s1 tmp =  P_hi, Res_hi
-	nop.i 999 ;;
-}
 { .mfi
-	nop.m 999
-//
-//     tmp = P_hi - Res_hi
-//
-(p0)   fma.s1 tmp = A_hi, sigma, tmp
-	nop.i 999
+      nop.m 999
+(p14) fadd.s3 Result = Res_lo, Res_hi     // Result for Res_lo denormal
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-(p0)   fma.s1 sigma =  A_lo, sigma, P_lo
-	nop.i 999 ;;
+      nop.m 999
+(p15) fadd.s0 Result = Res_lo, Res_hi     // Result for Res_lo normal
+      nop.i 999
 }
+;;
+
+//	
+//     If Res_lo is denormal test if Result equals zero
+//	
 { .mfi
-	nop.m 999
-//
-//     tmp   = sigma * A_hi  + tmp
-//     sigma = A_lo * sigma  + P_lo
-//
-(p0)   fma.s1 Res_lo = s_Y, sigma, tmp
-	nop.i 999 ;;
+      nop.m 999
+(p14) fclass.m.unc p14, p0 = Result, 0x07
+      nop.i 999
 }
-{ .mfb
-	nop.m 999
+;;
+
 //
-//     Res_lo = s_Y * sigma + tmp
+//     If Res_lo is denormal and Result equals zero, raise inexact, underflow
+//     by squaring small double
 //
-(p0)   fadd.s0 Result = Res_lo, Res_hi
-br.ret.sptk   b0 ;;
+{ .mfb
+      nop.m 999
+(p14) fmpy.d.s0 FR_temp = FR_temp, FR_temp
+      br.ret.sptk   b0                     // Exit POLY path, 0 < Q < 2^-3
 }
-L(ATANL_NATVAL): 
-L(ATANL_UNSUPPORTED): 
-L(ATANL_NAN): 
+;;
+
+
+ATANL_UNSUPPORTED: 
 { .mfb
-	nop.m 999
-(p0)   fmpy.s0 Result = ArgX,ArgY 
-(p0)   br.ret.sptk   b0 ;;
+      nop.m 999
+      fmpy.s0 Result = ArgX,ArgY 
+      br.ret.sptk   b0
 }
-L(ATANL_SPECIAL_HANDLING): 
+;;
+
+// Here if y natval, nan, inf, zero
+ATANL_Y_SPECIAL:
+// Here if x natval, nan, inf, zero
+ATANL_X_SPECIAL:
 { .mfi
-	nop.m 999
-(p0)   fcmp.eq.s0     p0, p6 = f1, ArgY_orig
-	nop.i 999
+      nop.m 999
+      fclass.m p13,p12 = ArgY_orig, 0x0c3  // Test y nan
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p0)   fcmp.eq.s0     p0, p5 = f1, ArgX_orig
-	nop.i 999 ;;
+      nop.m 999
+      fclass.m p15,p14 = ArgY_orig, 0x103  // Test y natval
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p0)   fclass.m.unc p6, p7 = ArgY, 0x007
-	nop.i 999
-}
-{ .mlx
-	nop.m 999
-(p0)   movl special = 992
+      nop.m 999
+(p12) fclass.m p13,p0 = ArgX_orig, 0x0c3  // Test x nan
+      nop.i 999
 }
 ;;
 
-
-{ .mmi
+{ .mfi
       nop.m 999
-(p0)  addl           table_ptr1   = @ltoff(Constants_atan#), gp
+(p14) fclass.m p15,p0 = ArgX_orig, 0x103  // Test x natval
       nop.i 999
 }
 ;;
 
-{ .mmi
-      ld8 table_ptr1 = [table_ptr1]
+{ .mfb
       nop.m 999
-      nop.i 999
+(p13) fmpy.s0 Result = ArgX_orig, ArgY_orig // Result nan if x or y nan
+(p13) br.ret.spnt b0                      // Exit if x or y nan
+}
+;;
+
+{ .mfb
+      nop.m 999
+(p15) fmpy.s0 Result = ArgX_orig, ArgY_orig // Result natval if x or y natval
+(p15) br.ret.spnt b0                      // Exit if x or y natval
 }
 ;;
 
 
-{ .mib
-(p0)   add table_ptr1 = table_ptr1, special
-	nop.i 999
-(p7)   br.cond.spnt L(ATANL_ArgY_Not_ZERO) ;;
+// Here if x or y inf or zero
+ATANL_SPECIAL_HANDLING: 
+{ .mfi
+      nop.m 999
+      fclass.m p6, p7 = ArgY_orig, 0x007        // Test y zero
+      mov special = 992                         // Offset to table
 }
+;;
+
+{ .mfb
+      add table_ptr1 = table_base, special      // Point to 3pi/4
+      fcmp.eq.s0 p0, p9 = ArgX_orig, ArgY_orig  // Dummy to set denormal flag
+(p7)  br.cond.spnt ATANL_ArgY_Not_ZERO          // Branch if y not zero
+}
+;;
+
+// Here if y zero
 { .mmf
-(p0)   ldfd  Result = [table_ptr1], 8
-	nop.m 999
-(p6)   fclass.m.unc p14, p0 = ArgX, 0x035 ;;
+      ldfd  Result = [table_ptr1], 8            // Get pi high
+      nop.m 999
+      fclass.m p14, p0 = ArgX, 0x035            // Test for x>=+0
 }
+;;
+
 { .mmf
-	nop.m 999
-(p0)   ldfd  Result_lo = [table_ptr1], -8
-(p6)   fclass.m.unc p15, p0 = ArgX, 0x036 ;;
+      nop.m 999
+      ldfd  Result_lo = [table_ptr1], -8        // Get pi lo
+      fclass.m p15, p0 = ArgX, 0x036            // Test for x<=-0
 }
+;;
+
+//
+//     Return sign_Y * 0 when  ArgX > +0
+//
 { .mfi
-	nop.m 999
-(p14)  fmerge.s Result = ArgY, f0
-	nop.i 999
+      nop.m 999
+(p14) fmerge.s Result = ArgY, f0               // If x>=+0, y=0, hi sgn(y)*0
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p6)   fclass.m.unc p13, p0 = ArgX, 0x007
-	nop.i 999 ;;
+      nop.m 999
+      fclass.m p13, p0 = ArgX, 0x007           // Test for x=0
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p14)  fmerge.s Result_lo = ArgY, f0
-	nop.i 999 ;;
+      nop.m 999
+(p14) fmerge.s Result_lo = ArgY, f0            // If x>=+0, y=0, lo sgn(y)*0
+      nop.i 999
 }
+;;
+
 { .mfi
-(p13)  mov GR_Parameter_TAG = 36 
-	nop.f 999
-	nop.i 999 ;;
+(p13) mov GR_Parameter_TAG = 36                // Error tag for x=0, y=0
+      nop.f 999
+      nop.i 999
 }
-{ .mfi
-	nop.m 999
+;;
+
 //
-//     Return sign_Y * 0 when  ArgX > +0
+//     Return sign_Y * pi when  ArgX < -0
 //
-(p15)  fmerge.s Result = ArgY, Result
-	nop.i 999 ;;
-}
 { .mfi
-	nop.m 999
-(p15)  fmerge.s Result_lo = ArgY, Result_lo
-	nop.i 999 ;;
+      nop.m 999
+(p15) fmerge.s Result = ArgY, Result           // If x<0, y=0, hi=sgn(y)*pi
+      nop.i 999
 }
-{ .mfb
-	nop.m 999
-//
-//     Return sign_Y * 0 when  ArgX < -0
-//
-(p0)   fadd.s0 Result = Result, Result_lo
-(p13)  br.cond.spnt __libm_error_region ;;
+;;
+
+{ .mfi
+      nop.m 999
+(p15) fmerge.s Result_lo = ArgY, Result_lo     // If x<0, y=0, lo=sgn(y)*pi
+      nop.i 999
 }
-{ .mib
-	nop.m 999
-	nop.i 999
+;;
+
 //
-//     Call error support funciton for atan(0,0)
+//     Call error support function for atan(0,0)
 //
-(p0)    br.ret.sptk   b0 ;;
-}
-L(ATANL_ArgY_Not_ZERO): 
-{ .mfi
-	nop.m 999
-(p0)   fclass.m.unc p9, p10 = ArgY, 0x023
-	nop.i 999 ;;
+{ .mfb
+      nop.m 999
+      fadd.s0 Result = Result, Result_lo
+(p13) br.cond.spnt __libm_error_region         // Branch if atan(0,0)
 }
+;;
+
 { .mib
-	nop.m 999
-	nop.i 999
-(p10)  br.cond.spnt  L(ATANL_ArgY_Not_INF) ;;
-}
-{ .mfi
-	nop.m 999
-(p9)   fclass.m.unc p6, p0 = ArgX, 0x017
-	nop.i 999
-}
-{ .mfi
-	nop.m 999
-(p9)   fclass.m.unc p7, p0 = ArgX, 0x021
-	nop.i 999 ;;
-}
-{ .mfi
-	nop.m 999
-(p9)   fclass.m.unc p8, p0 = ArgX, 0x022
-	nop.i 999 ;;
-}
-{ .mmi
-(p6)   add table_ptr1 =  16, table_ptr1 ;;
-(p0)   ldfd Result = [table_ptr1], 8
-	nop.i 999 ;;
-}
-{ .mfi
-(p0)   ldfd Result_lo = [table_ptr1], -8
-	nop.f 999
-	nop.i 999 ;;
-}
-{ .mfi
-	nop.m 999
-(p6)   fmerge.s Result = ArgY, Result
-	nop.i 999 ;;
+      nop.m 999
+      nop.i 999
+      br.ret.sptk   b0                         // Exit for y=0, x not 0
 }
+;;
+
+// Here if y not zero
+ATANL_ArgY_Not_ZERO: 
 { .mfi
-	nop.m 999
-(p6)   fmerge.s Result_lo = ArgY, Result_lo
-	nop.i 999 ;;
+      nop.m 999
+      fclass.m p0, p10 = ArgY, 0x023           // Test y inf
+      nop.i 999
 }
+;;
+
 { .mfb
-	nop.m 999
-(p6)    fadd.s0 Result = Result, Result_lo
-(p6)    br.ret.sptk   b0 ;;
+      nop.m 999
+      fclass.m p6, p0 = ArgX, 0x017            // Test for 0 <= |x| < inf
+(p10) br.cond.spnt  ATANL_ArgY_Not_INF         // Branch if 0 < |y| < inf
 }
+;;
+
+// Here if y=inf
 //
-//     Load PI/2 and adjust its sign.
 //     Return +PI/2 when ArgY = +Inf and ArgX = +/-0 or normal
 //     Return -PI/2 when ArgY = -Inf and ArgX = +/-0 or normal
+//     Return +PI/4 when ArgY = +Inf and ArgX = +Inf
+//     Return -PI/4 when ArgY = -Inf and ArgX = +Inf
+//     Return +3PI/4 when ArgY = +Inf and ArgX = -Inf
+//     Return -3PI/4 when ArgY = -Inf and ArgX = -Inf
 //
-{ .mmi
-(p7)   add table_ptr1 = 32, table_ptr1 ;;
-(p7)   ldfd Result = [table_ptr1], 8
-	nop.i 999 ;;
-}
 { .mfi
-(p7)   ldfd Result_lo = [table_ptr1], -8
-	nop.f 999
-	nop.i 999 ;;
-}
-{ .mfi
-	nop.m 999
-(p7)   fmerge.s Result = ArgY, Result
-	nop.i 999 ;;
+      nop.m 999
+      fclass.m p7, p0 = ArgX, 0x021            // Test for x=+inf
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p7)   fmerge.s Result_lo = ArgY, Result_lo
-	nop.i 999 ;;
-}
-{ .mfb
-	nop.m 999
-(p7)    fadd.s0 Result = Result, Result_lo
-(p7)    br.ret.sptk   b0 ;;
+(p6)  add table_ptr1 =  16, table_ptr1         // Point to pi/2, if x finite 
+      fclass.m p8, p0 = ArgX, 0x022            // Test for x=-inf
+      nop.i 999
 }
-//
-//     Load PI/4 and adjust its sign.
-//     Return +PI/4 when ArgY = +Inf and ArgX = +Inf
-//     Return -PI/4 when ArgY = -Inf and ArgX = +Inf
-//
+;;
+
 { .mmi
-(p8)   add table_ptr1 = 48, table_ptr1 ;;
-(p8)   ldfd Result = [table_ptr1], 8
-	nop.i 999 ;;
+(p7)  add table_ptr1 =  32, table_ptr1         // Point to pi/4 if x=+inf
+;;
+(p8)  add table_ptr1 =  48, table_ptr1         // Point to 3pi/4 if x=-inf
+
+      nop.i 999
 }
-{ .mfi
-(p8)   ldfd Result_lo = [table_ptr1], -8
-	nop.f 999
-	nop.i 999 ;;
+;;
+
+{ .mmi
+      ldfd Result = [table_ptr1], 8            // Load pi/2, pi/4, or 3pi/4 hi
+;;
+      ldfd Result_lo = [table_ptr1], -8        // Load pi/2, pi/4, or 3pi/4 lo
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p8)   fmerge.s Result = ArgY, Result
-	nop.i 999 ;;
+      nop.m 999
+      fmerge.s Result = ArgY, Result           // Merge sgn(y) in hi
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p8)   fmerge.s Result_lo = ArgY, Result_lo
-	nop.i 999 ;;
+      nop.m 999
+      fmerge.s Result_lo = ArgY, Result_lo     // Merge sgn(y) in lo
+      nop.i 999
 }
+;;
+
 { .mfb
-	nop.m 999
-(p8)   fadd.s0 Result = Result, Result_lo
-(p8)   br.ret.sptk   b0 ;; 
+      nop.m 999
+      fadd.s0 Result = Result, Result_lo       // Compute complete result
+      br.ret.sptk   b0                         // Exit for y=inf
 }
-L(ATANL_ArgY_Not_INF): 
-{ .mfi
-	nop.m 999
+;;
+
+// Here if y not INF, and x=0 or INF
+ATANL_ArgY_Not_INF: 
 //
-//     Load PI/4 and adjust its sign.
-//     Return +3PI/4 when ArgY = +Inf and ArgX = -Inf
-//     Return -3PI/4 when ArgY = -Inf and ArgX = -Inf
+//     Return +PI/2 when ArgY NOT Inf, ArgY > 0 and ArgX = +/-0
+//     Return -PI/2 when ArgY NOT Inf, ArgY < 0 and ArgX = +/-0
+//     Return +0    when ArgY NOT Inf, ArgY > 0 and ArgX = +Inf
+//     Return -0    when ArgY NOT Inf, ArgY > 0 and ArgX = +Inf
+//     Return +PI   when ArgY NOT Inf, ArgY > 0 and ArgX = -Inf
+//     Return -PI   when ArgY NOT Inf, ArgY > 0 and ArgX = -Inf
 //
-(p0)  fclass.m.unc p6, p0 = ArgX, 0x007
-	nop.i 999
-}
-{ .mfi
-	nop.m 999
-(p0)  fclass.m.unc p7, p0 = ArgX, 0x021
-	nop.i 999 ;;
-}
 { .mfi
-	nop.m 999
-(p0)  fclass.m.unc p8, p0 = ArgX, 0x022
-	nop.i 999 ;;
-}
-{ .mmi
-(p6)  add table_ptr1 = 16, table_ptr1 ;;
-(p6)  ldfd Result = [table_ptr1], 8
-	nop.i 999 ;;
+      nop.m 999
+      fclass.m p7, p9 = ArgX, 0x021            // Test for x=+inf
+      nop.i 999
 }
+;;
+
 { .mfi
-(p6)  ldfd Result_lo = [table_ptr1], -8
-	nop.f 999
-	nop.i 999 ;;
+      nop.m 999
+      fclass.m p6, p0 = ArgX, 0x007            // Test for x=0
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p6)  fmerge.s Result = ArgY, Result
-	nop.i 999 ;;
+(p6)  add table_ptr1 = 16, table_ptr1          // Point to pi/2
+      fclass.m p8, p0 = ArgX, 0x022            // Test for x=-inf
+      nop.i 999
 }
+;;
+
+.pred.rel "mutex",p7,p9
 { .mfi
-	nop.m 999
-(p6)  fmerge.s Result_lo = ArgY, Result_lo
-	nop.i 999 ;;
-}
-{ .mfb
-	nop.m 999
-(p6)  fadd.s0 Result = Result, Result_lo
-(p6)  br.ret.spnt   b0 ;;
+(p9)  ldfd Result = [table_ptr1], 8           // Load pi or pi/2 hi
+(p7)  fmerge.s Result = ArgY, f0              // If y not inf, x=+inf, sgn(y)*0
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-//
-//    return = sign_Y * PI/2 when ArgX = 0
-//
-(p7)  fmerge.s Result = ArgY, f0
-	nop.i 999 ;;
-}
-{ .mfb
-	nop.m 999
-(p7)  fnorm.s0 Result = Result
-(p7)  br.ret.spnt   b0 ;;
-}
-//
-//    return = sign_Y * 0 when ArgX = Inf
-//
-{ .mmi
-(p8)  ldfd Result = [table_ptr1], 8 ;;
-(p8)  ldfd Result_lo = [table_ptr1], -8
-	nop.i 999 ;;
+(p9)  ldfd Result_lo = [table_ptr1], -8       // Load pi or pi/2 lo
+(p7)  fnorm.s0 Result = Result                // If y not inf, x=+inf normalize
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p8)  fmerge.s Result = ArgY, Result
-	nop.i 999 ;;
+      nop.m 999
+(p9)  fmerge.s Result = ArgY, Result          // Merge sgn(y) in hi
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p8)  fmerge.s Result_lo = ArgY, Result_lo
-	nop.i 999 ;;
+      nop.m 999
+(p9)  fmerge.s Result_lo = ArgY, Result_lo    // Merge sgn(y) in lo
+      nop.i 999
 }
+;;
+
 { .mfb
-	nop.m 999
-(p8)  fadd.s0 Result = Result, Result_lo
-(p8)  br.ret.sptk   b0 ;;
+      nop.m 999
+(p9)  fadd.s0 Result = Result, Result_lo      // Compute complete result
+      br.ret.spnt   b0                        // Exit for y not inf, x=0,inf
 }
-//
-//    return = sign_Y * PI when ArgX = -Inf
-//
-.endp atan2l
-ASM_SIZE_DIRECTIVE(atan2l)
-ASM_SIZE_DIRECTIVE(__atan2l)
-ASM_SIZE_DIRECTIVE(__ieee754_atan2l)
- 
-.proc __libm_error_region
-__libm_error_region:
+;;
+
+GLOBAL_IEEE754_END(atan2l)
+LOCAL_LIBM_ENTRY(__libm_error_region)
 .prologue
 { .mfi
         add   GR_Parameter_Y=-32,sp             // Parameter 2 value
@@ -2001,7 +1999,6 @@ __libm_error_region:
         br.ret.sptk     b0                     // Return
 };;
 
-.endp __libm_error_region
-ASM_SIZE_DIRECTIVE(__libm_error_region) 
+LOCAL_LIBM_END(__libm_error_region#)
 .type   __libm_error_support#,@function
 .global __libm_error_support#
diff --git a/sysdeps/ia64/fpu/s_cbrt.S b/sysdeps/ia64/fpu/s_cbrt.S
index 1e23b6024d..b7a827d1da 100644
--- a/sysdeps/ia64/fpu/s_cbrt.S
+++ b/sysdeps/ia64/fpu/s_cbrt.S
@@ -1,11 +1,10 @@
-.file "cbrt.asm"
+.file "cbrt.s"
 
-// Copyright (C) 2000, 2001, Intel Corporation
+
+// Copyright (c) 2000 - 2003, Intel Corporation
 // All rights reserved.
-// 
-// Contributed 2/2/2000 by John Harrison, Cristina Iordache, Ted Kubaska, 
-// Bob Norin, Shane Story, and Ping Tak Peter Tang 
-// of the Computational Software Lab, Intel Corporation.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
 //
 // Redistribution and use in source and binary forms, with or without
 // modification, are permitted provided that the following conditions are
@@ -21,27 +20,30 @@
 // * The name of Intel Corporation may not be used to endorse or promote
 // products derived from this software without specific prior written
 // permission.
-//
-// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
-// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
-// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS 
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
 // CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
-// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, 
-// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 
-// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY 
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
 // OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
-// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 
-// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 
-// 
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+//
 // Intel Corporation is the author of this code, and requests that all
-// problem reports or change requests be submitted to it directly at 
-// http://developer.intel.com/opensource.
+// problem reports or change requests be submitted to it directly at
+// http: //www.intel.com/software/products/opensource/libraries/num.htm.
 //
 // History
 //==============================================================
-// 2/02/00: Initial version 
-// 5/19/00: New version (modified algorithm)
+// 02/02/00 Initial version
+// 05/19/00 New version (modified algorithm)
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 01/28/03 Updated polynomial coefficients (changed to Remez coefficients),
+//          to slightly improve accuracy
 //
 // API
 //==============================================================
@@ -53,637 +55,713 @@
 //
 // Implementation
 //
-//   cbrt(a) = cbrt(a y) / cbrt(y)
-//          = cbrt(1 - (1 - a y)) * 1/cbrt(y)
+// Let y= frcpa(a), where a is the argument
+//
+// cbrt(a)= cbrt(a*y)/cbrt(y) = cbrt(1 - (1-a*y)) * (1/cbrt(y))
+//
+// For all values of y, the 3 possible significands of 1/cbrt(y)
+// are stored in a table (T0) to 64 bits of accuracy. (There are
+// 3 possible significands because the exponent of y modulo 3
+// can be 0, 1, or 2.)
 //
-// where y = frcpa(a). 
 //
-//  * cbrt(1 - (1 - a y)) is approximated by a degree-5 polynomial 
-//   
-//  1 - (1/3)*r - (1/9)*r^2 - (5/81)*r^3 - (10/243)*r^4 - (22/729)*r^5
-// 
-//  in r = 1 - a y.
+// * cbrt(1 - (1-a*y)) is approximated by a degree-5 polynomial ~
+//
+// ~ 1 - (1/3)*r - (1/9)*r^2 - (5/81)*r^3 - (10/243)*r^4 - (22/729)*r^5
+//
+// in r = 1-a*y.
 //
-//  * The values 1/cbrt(y) are stored in a table of constants T0
-//   to 64 bits of accuracy
 //
 // The table values are stored for three exponent values and are
 // then multiplied by e/3 where e is the exponent of the input number.
 // This computation is carried out in parallel with the polynomial
 // evaluation:
 //
-//      T = 2^(e/3) * T0
+// T= 2^(e/3) * T0
 
 
 
 
 
 //===============
-// input = x
-// C = frcpa(x)
-// r = 1 - C * x
+// input= x
+// C= frcpa(x)
+// r= 1 - C * x
 //
-// Special values 
+// Special values
 //==============================================================
 
 
 
 // Registers used
 //==============================================================
-//   f6-f15
-//   r2, r23-r26, r28-r30
-//   p6,p7,p8,p12
+// f6-f15
+// GR_GP, r23-r26, r28-r30
+// p6, p7, p8, p12
+
+       FR_R        = f6
+       FR_COEFF1   = f7
+       FR_COEFF2   = f9
+       FR_COEFF3   = f10
+       FR_COEFF4   = f11
+       FR_COEFF5   = f12
+       FR_R2       = f13
+       FR_ARG      = f14
+       FR_P23      = f15
+       FR_P25      = f32
+       FR_P15      = f33
+       FR_P1       = f34
+       FR_P45      = f35
+       FR_2EXP     = f36
+       FR_TMP63    = f37
+
+       GR_GP       = r2
+       GR_ADDR     = r2
+       GR_CONST1   = r3
+       GR_I1       = r8
+       GR_EXP      = r9
+       GR_ADDR2    = r10
+       GR_IT1      = r11
+       GR_TMP2     = r11
+       GR_EXPON    = r15
+       GR_TMP1     = r16
+       GR_TMP6     = r16
+       GR_ITB1     = r17
+       GR_TMP3     = r18
+       GR_TMP4     = r19
+       GR_TMP63    = r19
+       GR_TMP5     = r20
+       GR_EXP_BY_3 = r20
+       GR_CONST4   = r21
+       GR_TMP6     = r22
+       GR_INDEX    = r23
+       GR_EBIAS    = r24
+       GR_SIGNIF   = r25
+       GR_SIGNIF2  = r25
+       GR_TEST     = r25
+       GR_ARGEXP   = r26
+       GR_CONST2   = r27
+       GR_SIGN     = r28
+       GR_REM      = r29
+       GR_CONST3   = r30
+       GR_SEXP     = r31
+
+
+
 
-#include "libm_support.h"
 
 // Data tables
 //==============================================================
 
-#ifdef _LIBC
-.rodata
-#else
-.data
-#endif
+RODATA
 
 .align 16
 
-poly_coeffs:
-ASM_TYPE_DIRECTIVE(poly_coeffs,@object)
-data8 0xaaaaaaaaaaaaaaab, 0x00003ffd  // 1/3
-data8 0x3fbc71c71c71c71d, 0x3faf9add3c0ca459
-data8 0x3fa511e8d2b3183b, 0x3f9ee7113506ac13
-ASM_SIZE_DIRECTIVE(poly_coeffs)
-
-T_table:
-ASM_TYPE_DIRECTIVE(T_table,@object)
-
-data8 0x80155c748c374836, 0xa160019ed37fb4ae
-data8 0xcb51ddcb9e93095e, 0x8040404b0879f7f9
-data8 0xa1960b5966da4608, 0xcb95f333968ad59b
-data8 0x806b5dce4b405c10, 0xa1cc5dbe6dc2aab4
-data8 0xcbda64292d3ffd97, 0x8096b586974669b1
-data8 0xa202f97995b69c0d, 0xcc1f3184af961596
-data8 0x80bcd273d952a028, 0xa232fe6eb0c0577d
-data8 0xcc5bb1ac954d33e2, 0x80e898c52813f2f3
-data8 0xa26a2582012f6e17, 0xcca12e9831fc6402
-data8 0x81149add67c2d208, 0xa2a197e5d10465cb
-data8 0xcce70a67b64f24ad, 0x813b4e2c856b6e9a
-data8 0xa2d25a532efefbc8, 0xcd24794726477ea5
-data8 0x8167c1dde03de7aa, 0xa30a5bd6e49e4ab8
-data8 0xcd6b096a0b70ee87, 0x818ed973b811135e
-data8 0xa33b9c9b59879e24, 0xcda9177738b15a90
-data8 0x81bbc0c33e13ec98, 0xa3742fca6a3c1f21
-data8 0xcdf05f2247dffab9, 0x81e33e69fbe7504a
-data8 0xa3a5f1273887bf22, 0xce2f0f347f96f906
-data8 0x820aec524e3c23e9, 0xa3d7ef508ff11574
-data8 0xce6e0be0cd551a61, 0x823880f78e70b805
-data8 0xa4115ce30548bc15, 0xceb666b2c347d1de
-data8 0x826097a62a8e5200, 0xa443df0e53df577a
-data8 0xcef609b0cb874f00, 0x8288dfe00e9b5eaf
-data8 0xa4769fa5913c0ec3, 0xcf35fb5447e5c765
-data8 0x82b15a10c5371624, 0xa4a99f303bc7def5
-data8 0xcf763c47ee869f00, 0x82da06a527b18937
-data8 0xa4dcde37779adf4b, 0xcfb6cd3888d71785
-data8 0x8302e60b635ab394, 0xa5105d46152c938a
-data8 0xcff7aed4fbfbb447, 0x832bf8b2feec2f0e
-data8 0xa5441ce89825cb8d, 0xd038e1ce5167e3c6
-data8 0x83553f0ce00e276b, 0xa5781dad3e54d899
-data8 0xd07a66d7bfa0ebba, 0x837eb98b50f8322a
-data8 0xa5ac602406c4e68c, 0xd0bc3ea6b32d1b21
-data8 0x83a270f44c84f699, 0xa5d9601d95c2c0bc
-data8 0xd0f4f0e8f36c1bf8, 0x83cc4d7cfcfac5ca
-data8 0xa60e1e1a2de14745, 0xd1376458e34b037e
-data8 0x83f65f78a8872b4c, 0xa6431f6e3fbd9658
-data8 0xd17a2ca133f78572, 0x8420a75f2f7b53c8
-data8 0xa67864b0d432fda4, 0xd1bd4a80301c5715
-data8 0x844510461ff14209, 0xa6a6444aa0243c0b
-data8 0xd1f71682b2fa4575, 0x846fbd91b930bed2
-data8 0xa6dc094d10f25792, 0xd23ad555f773f059
-data8 0x84947e18234f3294, 0xa70a574cc02bba69
-data8 0xd2752c7039a5bf73, 0x84bf92755825045a
-data8 0xa7409e2af9549084, 0xd2b98ee008c06b59
-data8 0x84e4ac0ee112ba51, 0xa76f5c64ca2cf13b
-data8 0xd2f4735ffd700280, 0x8509ef44b86f20be
-data8 0xa79e4f0babab5dc0, 0xd32f99ed6d9ac0e1
-data8 0x85359d5d91768427, 0xa7d5579ae5164b85
-data8 0xd374f0666c75d51c, 0x855b3bd5b7384357
-data8 0xa804bd3c6fe61cc8, 0xd3b0a7d13618e4a1
-data8 0x858104f0c415f79a, 0xa8345895e5250a5a
-data8 0xd3eca2ea53bcec0c, 0x85a6f90390d29864
-data8 0xa8642a122b44ef0b, 0xd428e23874f13a17
-data8 0x85d3772fcd56a1dd, 0xa89c38ca18f6108b
-data8 0xd46f82fe293bc6d3, 0x85f9c982fcc002f3
-data8 0xa8cc81063b6e87ca, 0xd4ac57e9b7186420
-data8 0x862047e0e7ea554b, 0xa8fd00bfa409285e
-data8 0xd4e972becb04e8b8, 0x8646f2a26f7f5852
-data8 0xa92db8664d5516da, 0xd526d40a7a9b43a3
-data8 0x866dca21754096b5, 0xa95ea86b75cc2c20
-data8 0xd5647c5b73917370, 0x8694ceb8dfd17a37
-data8 0xa98fd141a4992deb, 0xd5a26c4201bd6d13
-data8 0x86bc00c49e9307e8, 0xa9c1335cae7446ba
-data8 0xd5e0a45015350a7e, 0x86dccd74fce79610
-data8 0xa9ea8686f556f645, 0xd614b539c6194104
-data8 0x870453c845acf90f, 0xaa1c52d17906bb19
-data8 0xd6537310e224283f, 0x872c089a1e90342c
-data8 0xaa4e59b046dab887, 0xd6927ab62244c917
-data8 0x8753ec4a92d16c5e, 0xaa809b9c60d1890b
-data8 0xd6d1ccc1fc4ef4b7, 0x877bff3aca19f6b4
-data8 0xaab319102f3f9b33, 0xd71169cea98fdded
-data8 0x879d88b6fe1c324c, 0xaadd5a18c1e21274
-data8 0xd746a66a5bc9f6d9, 0x87c5f346dbf98c3a
-data8 0xab1045f2ac31bdf5, 0xd786ce8f0fae5317
-data8 0x87e7c653efacef2c, 0xab3ae3ab2df7231e
-data8 0xd7bc7ff214c4e75a, 0x881089d4e73ffefc
-data8 0xab6e3f945d1e96fc, 0xd7fd35467a517ed1
-data8 0x88397e6a366f2a8a, 0xaba1d953a08fa94e
-data8 0xd83e38838648d815, 0x885bc559e5e1c081
-data8 0xabcd090db7ef4c3f, 0xd874a1db598b8951
-data8 0x887e2ee392bb7a93, 0xabf864602d7c323d
-data8 0xd8ab42205b80edaf, 0x88a7a8587e404257
-data8 0xac2ca5886ccf9b57, 0xd8ed1849d202f965
-data8 0x88ca5eda67594784, 0xac5861d4aa441f0f
-data8 0xd92432bd5a173685, 0x88f4356166bd590e
-data8 0xac8d183fe3a2fbed, 0xd9669ca45b03c23e
-data8 0x89173a0acf5ce026, 0xacb93703ff51571e
-data8 0xd99e3327cf89574e, 0x893a62a098b6a57b
-data8 0xace5830ad0c3f14b, 0xd9d602b19b100466
-data8 0x895daf637236ae2c, 0xad11fca5d78b3ff2
-data8 0xda0e0ba86c096841, 0x89883b9d1c2fa9c5
-data8 0xad4797fddf91a798, 0xda5195fcdb1c3dce
-data8 0x89abd8dd374a5d7b, 0xad747701e559ebcb
-data8 0xda8a1eb87a491f6c, 0x89cf9b1dcd197fa0
-data8 0xada184a47e9c7613, 0xdac2e230b91c3f84
-data8 0x89f382a258ea79de, 0xadcec13ab0dda8ff
-data8 0xdafbe0d0b66aea30, 0x8a178faf06648f29
-data8 0xadfc2d1a5fd21ba8, 0xdb351b04a8fafced
-data8 0x8a3bc288b3e1d18a, 0xae29c89a5053c33a
-data8 0xdb6e9139e33cdd8e, 0x8a601b74f4d1f835
-data8 0xae5794122b638df9, 0xdba843ded7151ea1
-data8 0x8a849aba14274764, 0xae858fda8137ae0a
-data8 0xdbe2336319b61fc8, 0x8aa9409f16cdbc9b
-data8 0xaeb3bc4ccc56d3d1, 0xdc1c60376789fa68
-data8 0x8ace0d6bbe2cb316, 0xaee219c374c09920
-data8 0xdc56cacda82d0cd5, 0x8af301688ab33558
-data8 0xaf10a899d3235fe7, 0xdc917398f2797814
-data8 0x8b181cdebe6f3206, 0xaf3f692c341fe8b4
-data8 0xdccc5b0d90a3e628, 0x8b3d60185fafcb7c
-data8 0xaf6e5bd7db9ae6c2, 0xdd0781a10469f0f2
-data8 0x8b62cb603bb2fad0, 0xaf9d80fb081cd91b
-data8 0xdd42e7ca0b52838f, 0x8b80d7d6bc4104de
-data8 0xafc35ce063eb3787, 0xdd729ad01c69114d
-data8 0x8ba68bf73ac74f39, 0xaff2ddcb5f28f03d
-data8 0xddae749c001fbf5e, 0x8bcc68fb9f9f7335
-data8 0xb022923b148e05c5, 0xddea8f50a51c69b1
-data8 0x8bf26f31c534fca2, 0xb0527a919adbf58b
-data8 0xde26eb69a0f0f111, 0x8c10f86e13a1a1f9
-data8 0xb078f3ab1d701c65, 0xde576480262399bc
-data8 0x8c3749916cc6abb5, 0xb0a93a6870649f31
-data8 0xde943789645933c8, 0x8c5dc4c4f7706032
-data8 0xb0d9b624d62ec856, 0xded14d58139a28af
-data8 0x8c7cac3a8c42e3e0, 0xb100a5f53fb3c8e1
-data8 0xdf025c00bbf2b5c7, 0x8ca373f1b7bf2716
-data8 0xb131821882f5540a, 0xdf3feb44d723a713
-data8 0x8cc29907fb951294, 0xb158bf8e4cb04055
-data8 0xdf715bc16c159be0, 0x8ce9ae4e9492aac8
-data8 0xb189fd69d56b238f, 0xdfaf66240e29cda8
-data8 0x8d0911dddbfdad0e, 0xb1b189958e8108e4
-data8 0xdfe139cbf6e19bdc, 0x8d3075c4f20f04ee
-data8 0xb1e32a8165b09832, 0xe01fc0fe94d9fc52
-data8 0x8d5018a9d4de77d5, 0xb20b0678fc271eec
-data8 0xe051f92ffcc0bd60, 0x8d77cc47dd143515
-data8 0xb23d0bd3f7592b6e, 0xe090feec9c9a06ac
-data8 0x8d97af6352739cb7, 0xb26538b2db8420dc
-data8 0xe0c39d0c9ff862d6, 0x8db7af523167800f
-data8 0xb28d89e339ceca14, 0xe0f668eeb99f188d
-data8 0x8ddfd80bc68c32ff, 0xb2c022ca12e55a16
-data8 0xe1362890eb663139, 0x8e00197e1e7c88fe
-data8 0xb2e8c6852c6b03f1, 0xe1695c7212aecbaa
-data8 0x8e207859f77e20e7, 0xb3118f4eda9fe40f
-data8 0xe19cbf0391bbbbe9, 0x8e40f4ce60c9f8e2
-data8 0xb33a7d6268109ebe, 0xe1d050901c531e85
-data8 0x8e69ba46cf2fde4d, 0xb36ddbc5ea70ec55
-data8 0xe2110903b4f4047a, 0x8e8a7a00bd7ae63e
-data8 0xb3971e9b39264023, 0xe2450559b4d80b6d
-data8 0x8eab57ef1cf2f529, 0xb3c0877ecc18e24a
-data8 0xe27931a231554ef3, 0x8ecc5442cffb1dad
-data8 0xb3ea16ae3a6c905f, 0xe2ad8e2ac3c5b04b
-data8 0x8eed6f2d2a4acbfe, 0xb413cc67aa0e4d2d
-data8 0xe2e21b41b9694cce, 0x8f0ea8dff24441ff
-data8 0xb43da8e9d163e1af, 0xe316d93615862714
-data8 0x8f385c95d696b817, 0xb47233773b84d425
-data8 0xe3590bd86a0d30f9, 0x8f59dc43edd930f3
-data8 0xb49c6825430fe730, 0xe38e38e38e38e38e
-data8 0x8f7b7b5f5ffad1c4, 0xb4c6c46bcdb27dcf
-data8 0xe3c397d1e6db7839, 0x8f9d3a1bea165f38
-data8 0xb4f1488c0b35d26f, 0xe3f928f5953feb9e
-data8 0x8fbf18adc34b66da, 0xb51bf4c7c51f0168
-data8 0xe42eeca17c62886c, 0x8fe117499e356095
-data8 0xb546c9616087ab9c, 0xe464e32943446305
-data8 0x90033624aa685f8d, 0xb571c69bdffd9a70
-data8 0xe49b0ce15747a8a2, 0x9025757495f36b86
-data8 0xb59cecbae56984c3, 0xe4d16a1eee94e9d4
-data8 0x903f3a5dcc091203, 0xb5bd64512bb14bb7
-data8 0xe4fa52107353f67d, 0x9061b2fceb2bdbab
-data8 0xb5e8d2a4bf5ba416, 0xe5310a471f4d2dc3
-data8 0x90844ca7211032a7, 0xb6146a9a1bc47819
-data8 0xe567f6f1c2b9c224, 0x90a7079403e6a15d
-data8 0xb6402c7749d621c0, 0xe59f18689a9e4c9a
-data8 0x90c9e3fbafd63799, 0xb66c1882fb435ea2
-data8 0xe5d66f04b8a68ecf, 0x90ece216c8a16ee4
-data8 0xb6982f048c999a56, 0xe60dfb2005c192e9
-data8 0x9110021e7b516f0a, 0xb6c47044075b4142
-data8 0xe645bd1544c7ea51, 0x912a708a39be9075
-data8 0xb6e5bd6bfd02bafd, 0xe66fb21b505b20a0
-data8 0x914dcc7b31146370, 0xb7124a2736ff8ef2
-data8 0xe6a7d32af4a7c59a, 0x91714af8cfe984d5
-data8 0xb73f026a01e94177, 0xe6e02b129c6a5ae4
-data8 0x918c00a6f3795e97, 0xb760a959f1d0a7a7
-data8 0xe70a9136a7403039, 0x91afbc299ed0295d
-data8 0xb78dae7e06868ab0, 0xe74349fb2d92a589
-data8 0x91d39add3e958db0, 0xb7badff8ad9e4e02
-data8 0xe77c3a9c86ed7d42, 0x91ee9920a8974d92
-data8 0xb7dce25b8e17ae9f, 0xe7a713f88151518a
-data8 0x9212b5fcac537c19, 0xb80a6226904045e2
-data8 0xe7e067453317ed2b, 0x9236f6b256923fcf
-data8 0xb8380f1cafd73c1c, 0xe819f37a81871bb5
-data8 0x92523ee6f90dcfc3, 0xb85a6ea8e321b4d8
-data8 0xe8454236bfaeca14, 0x9276bef031e6eb79
-data8 0xb8886b684ae7d2fa, 0xe87f32f24c3fc90e
-data8 0x929236ec237a24ad, 0xb8ab0726fa00cf5d
-data8 0xe8aacd8688892ba6, 0x92b6f70b7efe9dc3
-data8 0xb8d954a4d13b7cb1, 0xe8e523fd32f606f7
-data8 0x92d29f61eec7dc2b, 0xb8fc2d4f6cd9f04a
-data8 0xe9110b5311407927, 0x92f7a05d5b8ba92f
-data8 0xb92acc851476b1ab, 0xe94bc8bf0c108fa3
-data8 0x931379a403be5c16, 0xb94de2d841a184c2
-data8 0xe977fdc439c2ca3c, 0x9338bc44de2e3f34
-data8 0xb97cd4c36c92693c, 0xe9b3236528fc349e
-data8 0x9354c71412c69486, 0xb9a0297f172665e3
-data8 0xe9dfa70b745ac1b4, 0x937a4c273907e262
-data8 0xb9cf6f21e36c3924, 0xea1b36268d0eaa38
-data8 0x93968919f6e7975d, 0xb9f3030951267208
-data8 0xea480963fd394197, 0x93bc516fdd4680c9
-data8 0xba229d6a618e7c59, 0xea84034425f27484
-data8 0x93d8c123d9be59b2, 0xba467144459f9855
-data8 0xeab12713138dd1cc, 0x93f546c955e60076
-data8 0xba6a60c3c48f1a4b, 0xeade6db73a5e503b
-data8 0x941b70a65879079f, 0xba9a76056b67ee7a
-data8 0xeb1b0268343b121b, 0x943829f337410591
-data8 0xbabea699563ada6e, 0xeb489b0b2bdb5f14
-data8 0x9454f995765bc4d2, 0xbae2f350b262cc4b
-data8 0xeb765721e85f03d0, 0x947b86b57f5842ed
-data8 0xbb1385a23be24e57, 0xebb389645f222f62
-data8 0x94988aeb23470f86, 0xbb3814975e17c680
-data8 0xebe198f090607e0c, 0x94b5a5dc9695f42a
-data8 0xbb5cc031009bf467, 0xec0fcc9321024509
-data8 0x94d2d7a9170d8b42, 0xbb81889680024764
-data8 0xec3e247da8b82f61, 0x94f9e87dd78bf019
-data8 0xbbb2c0d8703ae95d, 0xec7c27d21321c9f7
-data8 0x95175019a503d89e, 0xbbd7cd09ba3c5463
-data8 0xecaad5278824e453, 0x9534cefa625fcb3a
-data8 0xbbfcf68c4977718f, 0xecd9a76d097d4e77
-data8 0x955265405c491a25, 0xbc223d88cfc88eee
-data8 0xed089ed5dcd99446, 0x9570130c1f9bb857
-data8 0xbc47a2284fee4ff8, 0xed37bb95add09a1c
-data8 0x9597ca4119525184, 0xbc79ac0916ed7b8a
-data8 0xed76c70508f904b6, 0x95b5af6fb5aa4d3c
-data8 0xbc9f5670d1a13030, 0xeda63bb05e7f93c6
-data8 0x95d3ac9273aafd7a, 0xbcc51f068cb95c1d
-data8 0xedd5d661daed2dc4, 0x95f1c1cafdfd3684
-data8 0xbceb05f4b30a9bc0, 0xee05974eef86b903
-data8 0x960fef3b430b8d5f, 0xbd110b6604c7d306
-data8 0xee357ead791fc670, 0x962e350575b409c5
-data8 0xbd372f8598620f19, 0xee658cb3c134a463
-data8 0x964c934c0dfc1708, 0xbd5d727edb6b3c7e
-data8 0xee95c1987f080211, 0x966b0a31c9c6bc7d
-data8 0xbd83d47d937bbc6d, 0xeec61d92d8c4314f
-data8 0x968999d9ad8d264e, 0xbdaa55addf1ae47d
-data8 0xeef6a0da64a014ac, 0x96a8426705198795
-data8 0xbdd0f63c36aa73f0, 0xef274ba72a07c811
-data8 0x96c703fd64445ee5, 0xbdf7b6556d550a15
-data8 0xef581e31a2c91260, 0x96e5dec0a7b4268d
-data8 0xbe1e9626b1ffa96b, 0xef8918b2bc43aec6
-data8 0x9704d2d4f59f79f3, 0xbe4595dd903e5371
-data8 0xefba3b63d89d7cbf, 0x9723e05ebe91b9b0
-data8 0xbe6cb5a7f14bc935, 0xefeb867ecffaa607
-data8 0x97430782be323831, 0xbe93f5b41d047cf7
-data8 0xf01cfa3df1b9c9fa, 0x97624865fc0df8bf
-data8 0xbebb5630bae4c15f, 0xf04e96dc05b43e2d
-data8 0x9781a32dcc640b2a, 0xbee2d74cd30a430c
-data8 0xf0805c944d827454, 0x97a117ffd0f48e46
-data8 0xbf0a7937cf38d981, 0xf0b24ba285c495cb
-data8 0x97c0a701f9d263c9, 0xbf323c217be2bc8c
-data8 0xf0e46442e76f6569, 0x97e0505a8637a036
-data8 0xbf5a203a09342bbb, 0xf116a6b2291d7896
-data8 0x97f57a9fb0b08c6e, 0xbf74cad1c14ebfc4
-data8 0xf1383fa9e9b5b381, 0x9815503365914a9d
-data8 0xbf9ce6a497a89f78, 0xf16ac84f90083b9b
-data8 0x98354085054fd204, 0xbfc52428bec6e72f
-data8 0xf19d7b686dcb03d7, 0x98554bbbf8a77902
-data8 0xbfed838fddab024b, 0xf1d0593311db1757
-data8 0x987571fffb7f94f6, 0xc016050c0420981a
-data8 0xf20361ee8f1c711e, 0x9895b3791dd03c23
-data8 0xc03ea8cfabddc330, 0xf23695da7de51d3f
-data8 0x98ab43a5fc65d0c8, 0xc059d3cbd65ddbce
-data8 0xf258d095e465cc35, 0x98cbb2d196bd713d
-data8 0xc082b122a3c78c9d, 0xf28c4d0bfc982b34
-data8 0x98ec3d9ec7b6f21a, 0xc0abb1499ae736c4
-data8 0xf2bff55eb3f0ea71, 0x990ce436db5e8344
-data8 0xc0d4d474c3aedaaf, 0xf2f3c9cf9884636e
-data8 0x9922b8218160967a, 0xc0f054ca33eb3437
-data8 0xf31670135ab9cc0f, 0x99438d686f75779d
-data8 0xc119b2c67e600ed0, 0xf34a8e9f0b54cdfb
-data8 0x99647eea131fa20b, 0xc1433453de2033ff
-data8 0xf37ed9fa6b8add3f, 0x997a85045a47c6d0
-data8 0xc15ef3e44e10032d, 0xf3a1cfe884ef6bb6
-data8 0x999ba5f14f8add02, 0xc188b130431d80e6
-data8 0xf3d66689dcc8e8d3, 0x99bce38b5465ecae
-data8 0xc1b2929d6067730e, 0xf40b2ab069d5c96a
-data8 0x99d31ca0887f30f9, 0xc1ce9268f31cc734
-data8 0xf42e718b90c8bc16, 0x99f48a669c74c09e
-data8 0xc1f8b0877c1b0c08, 0xf463822a0a3b4b00
-data8 0x9a16154eb445c873, 0xc222f35a87b415ba
-data8 0xf498c1076015faf8, 0x9a2c822ec198d667
-data8 0xc23f3467349e5c88, 0xf4bc5a19a33990b5
-data8 0x9a4e3e080cd91b78, 0xc269b4e40e088c01
-data8 0xf4f1e6a7d6f5425f, 0x9a70177afe52322e
-data8 0xc2945aac24daaf6e, 0xf527a232cf6be334
-data8 0x9a86b8fa94eebe10, 0xc2b0de05e43c1d66
-data8 0xf54b8ecdcda90851, 0x9aa8c42866ae2958
-data8 0xc2dbc275e1229d09, 0xf5819949c7ad87b4
-data8 0x9abf86f9e12fc45e, 0xc2f86fca9d80eeff
-data8 0xf5a5bac9213b48a9, 0x9ae1c462fc05f49d
-data8 0xc323938449a2587e, 0xf5dc1501f324a812
-data8 0x9af8a8dc936b84d0, 0xc3406b40a538ed20
-data8 0xf6006bee86b5589e, 0x9b1b19033be35730
-data8 0xc36bcee8211d15e0, 0xf63716b2fa067fa4
-data8 0x9b3da7daf04c2892, 0xc397593adf2ba366
-data8 0xf66df22fb6132b9c, 0x9b54c2e4c8a9012b
-data8 0xc3b475b6206155d5, 0xf6929fb98225deb1
-data8 0x9b77854e6c661200, 0xc3e0410243b97383
-data8 0xf6c9cd13021e3fea, 0x9b8ec2e678d56d2f
-data8 0xc3fd890709833d37, 0xf6eeb177472cedae
-data8 0x9ba60e6a5ca133b6, 0xc41ae295f7e7fa06
-data8 0xf713abf4cb0b3afb, 0x9bc919ea66a151a4
-data8 0xc44709f7bb8a4dd2, 0xf74b4d5333684ef1
-data8 0x9be0887c09ef82bb, 0xc4648fb0e0bec4c1
-data8 0xf7707f75a72f8e94, 0x9c03c8d5fffc3503
-data8 0xc490f9a94695ba14, 0xf7a874b97927af44
-data8 0x9c1b5ad21a81cbb9, 0xc4aeac0173b7d390
-data8 0xf7cddf140aedf1d8, 0x9c3ed09216e9ca02
-data8 0xc4db5941007aa853, 0xf806291bacb7f7a9
-data8 0x9c568656c0423def, 0xc4f938aec206291a
-data8 0xf82bcc43b92eafef, 0x9c7a320af242ce60
-data8 0xc52629e899dfd622, 0xf8646bf0defb759e
-data8 0x9c920bf7a8c01dc2, 0xc54436e44043b965
-data8 0xf88a487dfc3ff5f7, 0x9ca9f475d98b159c
-data8 0xc562563abf9ea07f, 0xf8b03c2b46cdc17f
-data8 0x9ccdeca60e80b5f8, 0xc58fa7d1dc42921c
-data8 0xf8e95541c152ae7a, 0x9ce5f9d4653d4902
-data8 0xc5adf561b91e110a, 0xf90f832c2700c160
-data8 0x9cfe15cb38bfdd8e, 0xc5cc5591bdbd82fa
-data8 0xf935c88e0c7f419b, 0x9d225b983f6c1f96
-data8 0xc5fa08f1ff20593c, 0xf96f5cd84fd86873
-data8 0x9d3a9cca32261ed7, 0xc618980a79ce6862
-data8 0xf995dd53ebdd9d6d, 0x9d52ecfccebe1768
-data8 0xc6373a09e34b50fa, 0xf9bc75a034436a41
-data8 0x9d77818d95b82f86, 0xc66550a6e0baaf35
-data8 0xf9f686f26d5518de, 0x9d8ff7893fa4706c
-data8 0xc6842241926342c9, 0xfa1d5b39b910a8c5
-data8 0x9da87cbef36f2a5e, 0xc6a3070b7c93bb9e
-data8 0xfa4447acc4ecbfd2, 0x9dcd6140b4a35aeb
-data8 0xc6d18260bb84081b, 0xfa7ed7e51e6fdfb4
-data8 0x9de60cd06dc6e2d4, 0xc6f0977c9416828b
-data8 0xfaa601394d49a1a0, 0x9dfec7d4cc43b76f
-data8 0xc70fc0117c641630, 0xfacd431644ce0e40
-data8 0x9e17925ec9fccc4a, 0xc72efc34d7e615be
-data8 0xfaf49d96f7a75909, 0x9e3cdf6db57dc075
-data8 0xc75dfb441594141e, 0xfb2fd3c65e562fd5
-data8 0x9e55d110b63637a8, 0xc77d68aa019bda4c
-data8 0xfb576c5762024805, 0x9e6ed27594550d2e
-data8 0xc79ce9ea478dbc4f, 0xfb7f1debc22c4040
-data8 0x9e87e3adc385d393, 0xc7bc7f1ae453219d
-data8 0xfba6e89f32d0190a, 0x9ead9b54b37a1055
-data8 0xc7ec0476e15e141a, 0xfbe2c803a0894893
-data8 0x9ec6d46a3d7de215, 0xc80bcbe16f1d540f
-data8 0xfc0ad1ff0ed9ecf0, 0x9ee01d9108be3154
-data8 0xc82ba78a5d349735, 0xfc32f57bdfbcbe7f
-data8 0x9ef976db07288d04, 0xc84b978847a06b87
-data8 0xfc5b32968f99b21c, 0x9f12e05a4759ec25
-data8 0xc86b9bf1ee817bc6, 0xfc83896bc861ab08
-data8 0x9f2c5a20f4da6668, 0xc88bb4de3667cdf4
-data8 0xfcabfa1861ed4815, 0x9f52af78ed1733ca
-data8 0xc8bc00e7fe9e23a3, 0xfce8d3cea7d3163e
-data8 0x9f6c52426a39d003, 0xc8dc4d7ff2d25232
-data8 0xfd118595143ee273, 0x9f860593d42fd7f3
-data8 0xc8fcaeebcb40eb47, 0xfd3a519943d4865a
-data8 0x9f9fc97fdb96bd51, 0xc91d25431426a663
-data8 0xfd6337f8e1ae5a4b, 0x9fb99e194f4a7037
-data8 0xc93db09d7fdb2949, 0xfd8c38d1c8e927eb
-data8 0x9fd383731ca51db9, 0xc95e5112e721582a
-data8 0xfdb5544205095a53, 0x9fed79a04fbf9423
-data8 0xc97f06bb49787677, 0xfdde8a67d2613531
-data8 0xa00780b413b24ee8, 0xc99fd1aecd6e1b06
-data8 0xfe07db619e781611, 0xa02eab2c4474b0cd
-data8 0xc9d12a3e27bb1625, 0xfe460768d80bf758
-data8 0xa048dcd51ccfd142, 0xc9f22ad82ba3d5f0
-data8 0xfe6f9bfb06cd32f6, 0xa0631fa894b11b8d
-data8 0xca134113105e67b2, 0xfe994bcd3d14fcc2
-data8 0xa07d73ba65e680af, 0xca346d07b045a876
-data8 0xfec316fecaf3f2ab, 0xa097d91e6aaf71b0
-data8 0xca55aecf0e94bb88, 0xfeecfdaf33fadb80
-data8 0xa0b24fe89e02602f, 0xca77068257be9bab
-data8 0xff16fffe2fa8fad6, 0xa0ccd82d1bd2f68b
-data8 0xca98743ae1c693a8, 0xff411e0ba9db886d
-data8 0xa0e77200215909e6, 0xcab9f8122c99a101
-data8 0xff6b57f7c33e4e9a, 0xa1021d760d584855
-data8 0xcadb9221e268c3b5, 0xff95ade2d1bd7358
-data8 0xa11cdaa36068a57d, 0xcafd4283d8043dfd
-data8 0xffc01fed60f86fb5, 0xa137a99cbd3f880b
-data8 0xcb1f09520d37c6fb, 0xffeaae3832b63956
-ASM_SIZE_DIRECTIVE(T_table)
-
-
-
-
-
-
-.align 32
-.global cbrt#
+LOCAL_OBJECT_START(poly_coeffs)
+
+       data8 0xaaaaaaaaaaaaaab4, 0x0000bffd // ~ 1/3
+       data8 0xbfbc71c71c718e45, 0xbfaf9add3c0bbb43
+       data8 0xbfa511edb93dc98d, 0xbf9ee71c45f0dfbc
+LOCAL_OBJECT_END(poly_coeffs)
+
+
+//   For every entry B in the frcpa table, this table contains
+// the significands of cbrt(1/B), cbrt(2/B), cbrt(4/B).
+// The index to this table is the same as the frcpa index.
+
+LOCAL_OBJECT_START(T_table)
+
+
+       data8 0x80155c748c374836, 0xa160019ed37fb4ae
+       data8 0xcb51ddcb9e93095e, 0x8040404b0879f7f9
+       data8 0xa1960b5966da4608, 0xcb95f333968ad59b
+       data8 0x806b5dce4b405c10, 0xa1cc5dbe6dc2aab4
+       data8 0xcbda64292d3ffd97, 0x8096b586974669b1
+       data8 0xa202f97995b69c0d, 0xcc1f3184af961596
+       data8 0x80bcd273d952a028, 0xa232fe6eb0c0577d
+       data8 0xcc5bb1ac954d33e2, 0x80e898c52813f2f3
+       data8 0xa26a2582012f6e17, 0xcca12e9831fc6402
+       data8 0x81149add67c2d208, 0xa2a197e5d10465cb
+       data8 0xcce70a67b64f24ad, 0x813b4e2c856b6e9a
+       data8 0xa2d25a532efefbc8, 0xcd24794726477ea5
+       data8 0x8167c1dde03de7aa, 0xa30a5bd6e49e4ab8
+       data8 0xcd6b096a0b70ee87, 0x818ed973b811135e
+       data8 0xa33b9c9b59879e24, 0xcda9177738b15a90
+       data8 0x81bbc0c33e13ec98, 0xa3742fca6a3c1f21
+       data8 0xcdf05f2247dffab9, 0x81e33e69fbe7504a
+       data8 0xa3a5f1273887bf22, 0xce2f0f347f96f906
+       data8 0x820aec524e3c23e9, 0xa3d7ef508ff11574
+       data8 0xce6e0be0cd551a61, 0x823880f78e70b805
+       data8 0xa4115ce30548bc15, 0xceb666b2c347d1de
+       data8 0x826097a62a8e5200, 0xa443df0e53df577a
+       data8 0xcef609b0cb874f00, 0x8288dfe00e9b5eaf
+       data8 0xa4769fa5913c0ec3, 0xcf35fb5447e5c765
+       data8 0x82b15a10c5371624, 0xa4a99f303bc7def5
+       data8 0xcf763c47ee869f00, 0x82da06a527b18937
+       data8 0xa4dcde37779adf4b, 0xcfb6cd3888d71785
+       data8 0x8302e60b635ab394, 0xa5105d46152c938a
+       data8 0xcff7aed4fbfbb447, 0x832bf8b2feec2f0e
+       data8 0xa5441ce89825cb8d, 0xd038e1ce5167e3c6
+       data8 0x83553f0ce00e276b, 0xa5781dad3e54d899
+       data8 0xd07a66d7bfa0ebba, 0x837eb98b50f8322a
+       data8 0xa5ac602406c4e68c, 0xd0bc3ea6b32d1b21
+       data8 0x83a270f44c84f699, 0xa5d9601d95c2c0bc
+       data8 0xd0f4f0e8f36c1bf8, 0x83cc4d7cfcfac5ca
+       data8 0xa60e1e1a2de14745, 0xd1376458e34b037e
+       data8 0x83f65f78a8872b4c, 0xa6431f6e3fbd9658
+       data8 0xd17a2ca133f78572, 0x8420a75f2f7b53c8
+       data8 0xa67864b0d432fda4, 0xd1bd4a80301c5715
+       data8 0x844510461ff14209, 0xa6a6444aa0243c0b
+       data8 0xd1f71682b2fa4575, 0x846fbd91b930bed2
+       data8 0xa6dc094d10f25792, 0xd23ad555f773f059
+       data8 0x84947e18234f3294, 0xa70a574cc02bba69
+       data8 0xd2752c7039a5bf73, 0x84bf92755825045a
+       data8 0xa7409e2af9549084, 0xd2b98ee008c06b59
+       data8 0x84e4ac0ee112ba51, 0xa76f5c64ca2cf13b
+       data8 0xd2f4735ffd700280, 0x8509ef44b86f20be
+       data8 0xa79e4f0babab5dc0, 0xd32f99ed6d9ac0e1
+       data8 0x85359d5d91768427, 0xa7d5579ae5164b85
+       data8 0xd374f0666c75d51c, 0x855b3bd5b7384357
+       data8 0xa804bd3c6fe61cc8, 0xd3b0a7d13618e4a1
+       data8 0x858104f0c415f79a, 0xa8345895e5250a5a
+       data8 0xd3eca2ea53bcec0c, 0x85a6f90390d29864
+       data8 0xa8642a122b44ef0b, 0xd428e23874f13a17
+       data8 0x85d3772fcd56a1dd, 0xa89c38ca18f6108b
+       data8 0xd46f82fe293bc6d3, 0x85f9c982fcc002f3
+       data8 0xa8cc81063b6e87ca, 0xd4ac57e9b7186420
+       data8 0x862047e0e7ea554b, 0xa8fd00bfa409285e
+       data8 0xd4e972becb04e8b8, 0x8646f2a26f7f5852
+       data8 0xa92db8664d5516da, 0xd526d40a7a9b43a3
+       data8 0x866dca21754096b5, 0xa95ea86b75cc2c20
+       data8 0xd5647c5b73917370, 0x8694ceb8dfd17a37
+       data8 0xa98fd141a4992deb, 0xd5a26c4201bd6d13
+       data8 0x86bc00c49e9307e8, 0xa9c1335cae7446ba
+       data8 0xd5e0a45015350a7e, 0x86dccd74fce79610
+       data8 0xa9ea8686f556f645, 0xd614b539c6194104
+       data8 0x870453c845acf90f, 0xaa1c52d17906bb19
+       data8 0xd6537310e224283f, 0x872c089a1e90342c
+       data8 0xaa4e59b046dab887, 0xd6927ab62244c917
+       data8 0x8753ec4a92d16c5e, 0xaa809b9c60d1890b
+       data8 0xd6d1ccc1fc4ef4b7, 0x877bff3aca19f6b4
+       data8 0xaab319102f3f9b33, 0xd71169cea98fdded
+       data8 0x879d88b6fe1c324c, 0xaadd5a18c1e21274
+       data8 0xd746a66a5bc9f6d9, 0x87c5f346dbf98c3a
+       data8 0xab1045f2ac31bdf5, 0xd786ce8f0fae5317
+       data8 0x87e7c653efacef2c, 0xab3ae3ab2df7231e
+       data8 0xd7bc7ff214c4e75a, 0x881089d4e73ffefc
+       data8 0xab6e3f945d1e96fc, 0xd7fd35467a517ed1
+       data8 0x88397e6a366f2a8a, 0xaba1d953a08fa94e
+       data8 0xd83e38838648d815, 0x885bc559e5e1c081
+       data8 0xabcd090db7ef4c3f, 0xd874a1db598b8951
+       data8 0x887e2ee392bb7a93, 0xabf864602d7c323d
+       data8 0xd8ab42205b80edaf, 0x88a7a8587e404257
+       data8 0xac2ca5886ccf9b57, 0xd8ed1849d202f965
+       data8 0x88ca5eda67594784, 0xac5861d4aa441f0f
+       data8 0xd92432bd5a173685, 0x88f4356166bd590e
+       data8 0xac8d183fe3a2fbed, 0xd9669ca45b03c23e
+       data8 0x89173a0acf5ce026, 0xacb93703ff51571e
+       data8 0xd99e3327cf89574e, 0x893a62a098b6a57b
+       data8 0xace5830ad0c3f14b, 0xd9d602b19b100466
+       data8 0x895daf637236ae2c, 0xad11fca5d78b3ff2
+       data8 0xda0e0ba86c096841, 0x89883b9d1c2fa9c5
+       data8 0xad4797fddf91a798, 0xda5195fcdb1c3dce
+       data8 0x89abd8dd374a5d7b, 0xad747701e559ebcb
+       data8 0xda8a1eb87a491f6c, 0x89cf9b1dcd197fa0
+       data8 0xada184a47e9c7613, 0xdac2e230b91c3f84
+       data8 0x89f382a258ea79de, 0xadcec13ab0dda8ff
+       data8 0xdafbe0d0b66aea30, 0x8a178faf06648f29
+       data8 0xadfc2d1a5fd21ba8, 0xdb351b04a8fafced
+       data8 0x8a3bc288b3e1d18a, 0xae29c89a5053c33a
+       data8 0xdb6e9139e33cdd8e, 0x8a601b74f4d1f835
+       data8 0xae5794122b638df9, 0xdba843ded7151ea1
+       data8 0x8a849aba14274764, 0xae858fda8137ae0a
+       data8 0xdbe2336319b61fc8, 0x8aa9409f16cdbc9b
+       data8 0xaeb3bc4ccc56d3d1, 0xdc1c60376789fa68
+       data8 0x8ace0d6bbe2cb316, 0xaee219c374c09920
+       data8 0xdc56cacda82d0cd5, 0x8af301688ab33558
+       data8 0xaf10a899d3235fe7, 0xdc917398f2797814
+       data8 0x8b181cdebe6f3206, 0xaf3f692c341fe8b4
+       data8 0xdccc5b0d90a3e628, 0x8b3d60185fafcb7c
+       data8 0xaf6e5bd7db9ae6c2, 0xdd0781a10469f0f2
+       data8 0x8b62cb603bb2fad0, 0xaf9d80fb081cd91b
+       data8 0xdd42e7ca0b52838f, 0x8b80d7d6bc4104de
+       data8 0xafc35ce063eb3787, 0xdd729ad01c69114d
+       data8 0x8ba68bf73ac74f39, 0xaff2ddcb5f28f03d
+       data8 0xddae749c001fbf5e, 0x8bcc68fb9f9f7335
+       data8 0xb022923b148e05c5, 0xddea8f50a51c69b1
+       data8 0x8bf26f31c534fca2, 0xb0527a919adbf58b
+       data8 0xde26eb69a0f0f111, 0x8c10f86e13a1a1f9
+       data8 0xb078f3ab1d701c65, 0xde576480262399bc
+       data8 0x8c3749916cc6abb5, 0xb0a93a6870649f31
+       data8 0xde943789645933c8, 0x8c5dc4c4f7706032
+       data8 0xb0d9b624d62ec856, 0xded14d58139a28af
+       data8 0x8c7cac3a8c42e3e0, 0xb100a5f53fb3c8e1
+       data8 0xdf025c00bbf2b5c7, 0x8ca373f1b7bf2716
+       data8 0xb131821882f5540a, 0xdf3feb44d723a713
+       data8 0x8cc29907fb951294, 0xb158bf8e4cb04055
+       data8 0xdf715bc16c159be0, 0x8ce9ae4e9492aac8
+       data8 0xb189fd69d56b238f, 0xdfaf66240e29cda8
+       data8 0x8d0911dddbfdad0e, 0xb1b189958e8108e4
+       data8 0xdfe139cbf6e19bdc, 0x8d3075c4f20f04ee
+       data8 0xb1e32a8165b09832, 0xe01fc0fe94d9fc52
+       data8 0x8d5018a9d4de77d5, 0xb20b0678fc271eec
+       data8 0xe051f92ffcc0bd60, 0x8d77cc47dd143515
+       data8 0xb23d0bd3f7592b6e, 0xe090feec9c9a06ac
+       data8 0x8d97af6352739cb7, 0xb26538b2db8420dc
+       data8 0xe0c39d0c9ff862d6, 0x8db7af523167800f
+       data8 0xb28d89e339ceca14, 0xe0f668eeb99f188d
+       data8 0x8ddfd80bc68c32ff, 0xb2c022ca12e55a16
+       data8 0xe1362890eb663139, 0x8e00197e1e7c88fe
+       data8 0xb2e8c6852c6b03f1, 0xe1695c7212aecbaa
+       data8 0x8e207859f77e20e7, 0xb3118f4eda9fe40f
+       data8 0xe19cbf0391bbbbe9, 0x8e40f4ce60c9f8e2
+       data8 0xb33a7d6268109ebe, 0xe1d050901c531e85
+       data8 0x8e69ba46cf2fde4d, 0xb36ddbc5ea70ec55
+       data8 0xe2110903b4f4047a, 0x8e8a7a00bd7ae63e
+       data8 0xb3971e9b39264023, 0xe2450559b4d80b6d
+       data8 0x8eab57ef1cf2f529, 0xb3c0877ecc18e24a
+       data8 0xe27931a231554ef3, 0x8ecc5442cffb1dad
+       data8 0xb3ea16ae3a6c905f, 0xe2ad8e2ac3c5b04b
+       data8 0x8eed6f2d2a4acbfe, 0xb413cc67aa0e4d2d
+       data8 0xe2e21b41b9694cce, 0x8f0ea8dff24441ff
+       data8 0xb43da8e9d163e1af, 0xe316d93615862714
+       data8 0x8f385c95d696b817, 0xb47233773b84d425
+       data8 0xe3590bd86a0d30f9, 0x8f59dc43edd930f3
+       data8 0xb49c6825430fe730, 0xe38e38e38e38e38e
+       data8 0x8f7b7b5f5ffad1c4, 0xb4c6c46bcdb27dcf
+       data8 0xe3c397d1e6db7839, 0x8f9d3a1bea165f38
+       data8 0xb4f1488c0b35d26f, 0xe3f928f5953feb9e
+       data8 0x8fbf18adc34b66da, 0xb51bf4c7c51f0168
+       data8 0xe42eeca17c62886c, 0x8fe117499e356095
+       data8 0xb546c9616087ab9c, 0xe464e32943446305
+       data8 0x90033624aa685f8d, 0xb571c69bdffd9a70
+       data8 0xe49b0ce15747a8a2, 0x9025757495f36b86
+       data8 0xb59cecbae56984c3, 0xe4d16a1eee94e9d4
+       data8 0x903f3a5dcc091203, 0xb5bd64512bb14bb7
+       data8 0xe4fa52107353f67d, 0x9061b2fceb2bdbab
+       data8 0xb5e8d2a4bf5ba416, 0xe5310a471f4d2dc3
+       data8 0x90844ca7211032a7, 0xb6146a9a1bc47819
+       data8 0xe567f6f1c2b9c224, 0x90a7079403e6a15d
+       data8 0xb6402c7749d621c0, 0xe59f18689a9e4c9a
+       data8 0x90c9e3fbafd63799, 0xb66c1882fb435ea2
+       data8 0xe5d66f04b8a68ecf, 0x90ece216c8a16ee4
+       data8 0xb6982f048c999a56, 0xe60dfb2005c192e9
+       data8 0x9110021e7b516f0a, 0xb6c47044075b4142
+       data8 0xe645bd1544c7ea51, 0x912a708a39be9075
+       data8 0xb6e5bd6bfd02bafd, 0xe66fb21b505b20a0
+       data8 0x914dcc7b31146370, 0xb7124a2736ff8ef2
+       data8 0xe6a7d32af4a7c59a, 0x91714af8cfe984d5
+       data8 0xb73f026a01e94177, 0xe6e02b129c6a5ae4
+       data8 0x918c00a6f3795e97, 0xb760a959f1d0a7a7
+       data8 0xe70a9136a7403039, 0x91afbc299ed0295d
+       data8 0xb78dae7e06868ab0, 0xe74349fb2d92a589
+       data8 0x91d39add3e958db0, 0xb7badff8ad9e4e02
+       data8 0xe77c3a9c86ed7d42, 0x91ee9920a8974d92
+       data8 0xb7dce25b8e17ae9f, 0xe7a713f88151518a
+       data8 0x9212b5fcac537c19, 0xb80a6226904045e2
+       data8 0xe7e067453317ed2b, 0x9236f6b256923fcf
+       data8 0xb8380f1cafd73c1c, 0xe819f37a81871bb5
+       data8 0x92523ee6f90dcfc3, 0xb85a6ea8e321b4d8
+       data8 0xe8454236bfaeca14, 0x9276bef031e6eb79
+       data8 0xb8886b684ae7d2fa, 0xe87f32f24c3fc90e
+       data8 0x929236ec237a24ad, 0xb8ab0726fa00cf5d
+       data8 0xe8aacd8688892ba6, 0x92b6f70b7efe9dc3
+       data8 0xb8d954a4d13b7cb1, 0xe8e523fd32f606f7
+       data8 0x92d29f61eec7dc2b, 0xb8fc2d4f6cd9f04a
+       data8 0xe9110b5311407927, 0x92f7a05d5b8ba92f
+       data8 0xb92acc851476b1ab, 0xe94bc8bf0c108fa3
+       data8 0x931379a403be5c16, 0xb94de2d841a184c2
+       data8 0xe977fdc439c2ca3c, 0x9338bc44de2e3f34
+       data8 0xb97cd4c36c92693c, 0xe9b3236528fc349e
+       data8 0x9354c71412c69486, 0xb9a0297f172665e3
+       data8 0xe9dfa70b745ac1b4, 0x937a4c273907e262
+       data8 0xb9cf6f21e36c3924, 0xea1b36268d0eaa38
+       data8 0x93968919f6e7975d, 0xb9f3030951267208
+       data8 0xea480963fd394197, 0x93bc516fdd4680c9
+       data8 0xba229d6a618e7c59, 0xea84034425f27484
+       data8 0x93d8c123d9be59b2, 0xba467144459f9855
+       data8 0xeab12713138dd1cc, 0x93f546c955e60076
+       data8 0xba6a60c3c48f1a4b, 0xeade6db73a5e503b
+       data8 0x941b70a65879079f, 0xba9a76056b67ee7a
+       data8 0xeb1b0268343b121b, 0x943829f337410591
+       data8 0xbabea699563ada6e, 0xeb489b0b2bdb5f14
+       data8 0x9454f995765bc4d2, 0xbae2f350b262cc4b
+       data8 0xeb765721e85f03d0, 0x947b86b57f5842ed
+       data8 0xbb1385a23be24e57, 0xebb389645f222f62
+       data8 0x94988aeb23470f86, 0xbb3814975e17c680
+       data8 0xebe198f090607e0c, 0x94b5a5dc9695f42a
+       data8 0xbb5cc031009bf467, 0xec0fcc9321024509
+       data8 0x94d2d7a9170d8b42, 0xbb81889680024764
+       data8 0xec3e247da8b82f61, 0x94f9e87dd78bf019
+       data8 0xbbb2c0d8703ae95d, 0xec7c27d21321c9f7
+       data8 0x95175019a503d89e, 0xbbd7cd09ba3c5463
+       data8 0xecaad5278824e453, 0x9534cefa625fcb3a
+       data8 0xbbfcf68c4977718f, 0xecd9a76d097d4e77
+       data8 0x955265405c491a25, 0xbc223d88cfc88eee
+       data8 0xed089ed5dcd99446, 0x9570130c1f9bb857
+       data8 0xbc47a2284fee4ff8, 0xed37bb95add09a1c
+       data8 0x9597ca4119525184, 0xbc79ac0916ed7b8a
+       data8 0xed76c70508f904b6, 0x95b5af6fb5aa4d3c
+       data8 0xbc9f5670d1a13030, 0xeda63bb05e7f93c6
+       data8 0x95d3ac9273aafd7a, 0xbcc51f068cb95c1d
+       data8 0xedd5d661daed2dc4, 0x95f1c1cafdfd3684
+       data8 0xbceb05f4b30a9bc0, 0xee05974eef86b903
+       data8 0x960fef3b430b8d5f, 0xbd110b6604c7d306
+       data8 0xee357ead791fc670, 0x962e350575b409c5
+       data8 0xbd372f8598620f19, 0xee658cb3c134a463
+       data8 0x964c934c0dfc1708, 0xbd5d727edb6b3c7e
+       data8 0xee95c1987f080211, 0x966b0a31c9c6bc7d
+       data8 0xbd83d47d937bbc6d, 0xeec61d92d8c4314f
+       data8 0x968999d9ad8d264e, 0xbdaa55addf1ae47d
+       data8 0xeef6a0da64a014ac, 0x96a8426705198795
+       data8 0xbdd0f63c36aa73f0, 0xef274ba72a07c811
+       data8 0x96c703fd64445ee5, 0xbdf7b6556d550a15
+       data8 0xef581e31a2c91260, 0x96e5dec0a7b4268d
+       data8 0xbe1e9626b1ffa96b, 0xef8918b2bc43aec6
+       data8 0x9704d2d4f59f79f3, 0xbe4595dd903e5371
+       data8 0xefba3b63d89d7cbf, 0x9723e05ebe91b9b0
+       data8 0xbe6cb5a7f14bc935, 0xefeb867ecffaa607
+       data8 0x97430782be323831, 0xbe93f5b41d047cf7
+       data8 0xf01cfa3df1b9c9fa, 0x97624865fc0df8bf
+       data8 0xbebb5630bae4c15f, 0xf04e96dc05b43e2d
+       data8 0x9781a32dcc640b2a, 0xbee2d74cd30a430c
+       data8 0xf0805c944d827454, 0x97a117ffd0f48e46
+       data8 0xbf0a7937cf38d981, 0xf0b24ba285c495cb
+       data8 0x97c0a701f9d263c9, 0xbf323c217be2bc8c
+       data8 0xf0e46442e76f6569, 0x97e0505a8637a036
+       data8 0xbf5a203a09342bbb, 0xf116a6b2291d7896
+       data8 0x97f57a9fb0b08c6e, 0xbf74cad1c14ebfc4
+       data8 0xf1383fa9e9b5b381, 0x9815503365914a9d
+       data8 0xbf9ce6a497a89f78, 0xf16ac84f90083b9b
+       data8 0x98354085054fd204, 0xbfc52428bec6e72f
+       data8 0xf19d7b686dcb03d7, 0x98554bbbf8a77902
+       data8 0xbfed838fddab024b, 0xf1d0593311db1757
+       data8 0x987571fffb7f94f6, 0xc016050c0420981a
+       data8 0xf20361ee8f1c711e, 0x9895b3791dd03c23
+       data8 0xc03ea8cfabddc330, 0xf23695da7de51d3f
+       data8 0x98ab43a5fc65d0c8, 0xc059d3cbd65ddbce
+       data8 0xf258d095e465cc35, 0x98cbb2d196bd713d
+       data8 0xc082b122a3c78c9d, 0xf28c4d0bfc982b34
+       data8 0x98ec3d9ec7b6f21a, 0xc0abb1499ae736c4
+       data8 0xf2bff55eb3f0ea71, 0x990ce436db5e8344
+       data8 0xc0d4d474c3aedaaf, 0xf2f3c9cf9884636e
+       data8 0x9922b8218160967a, 0xc0f054ca33eb3437
+       data8 0xf31670135ab9cc0f, 0x99438d686f75779d
+       data8 0xc119b2c67e600ed0, 0xf34a8e9f0b54cdfb
+       data8 0x99647eea131fa20b, 0xc1433453de2033ff
+       data8 0xf37ed9fa6b8add3f, 0x997a85045a47c6d0
+       data8 0xc15ef3e44e10032d, 0xf3a1cfe884ef6bb6
+       data8 0x999ba5f14f8add02, 0xc188b130431d80e6
+       data8 0xf3d66689dcc8e8d3, 0x99bce38b5465ecae
+       data8 0xc1b2929d6067730e, 0xf40b2ab069d5c96a
+       data8 0x99d31ca0887f30f9, 0xc1ce9268f31cc734
+       data8 0xf42e718b90c8bc16, 0x99f48a669c74c09e
+       data8 0xc1f8b0877c1b0c08, 0xf463822a0a3b4b00
+       data8 0x9a16154eb445c873, 0xc222f35a87b415ba
+       data8 0xf498c1076015faf8, 0x9a2c822ec198d667
+       data8 0xc23f3467349e5c88, 0xf4bc5a19a33990b5
+       data8 0x9a4e3e080cd91b78, 0xc269b4e40e088c01
+       data8 0xf4f1e6a7d6f5425f, 0x9a70177afe52322e
+       data8 0xc2945aac24daaf6e, 0xf527a232cf6be334
+       data8 0x9a86b8fa94eebe10, 0xc2b0de05e43c1d66
+       data8 0xf54b8ecdcda90851, 0x9aa8c42866ae2958
+       data8 0xc2dbc275e1229d09, 0xf5819949c7ad87b4
+       data8 0x9abf86f9e12fc45e, 0xc2f86fca9d80eeff
+       data8 0xf5a5bac9213b48a9, 0x9ae1c462fc05f49d
+       data8 0xc323938449a2587e, 0xf5dc1501f324a812
+       data8 0x9af8a8dc936b84d0, 0xc3406b40a538ed20
+       data8 0xf6006bee86b5589e, 0x9b1b19033be35730
+       data8 0xc36bcee8211d15e0, 0xf63716b2fa067fa4
+       data8 0x9b3da7daf04c2892, 0xc397593adf2ba366
+       data8 0xf66df22fb6132b9c, 0x9b54c2e4c8a9012b
+       data8 0xc3b475b6206155d5, 0xf6929fb98225deb1
+       data8 0x9b77854e6c661200, 0xc3e0410243b97383
+       data8 0xf6c9cd13021e3fea, 0x9b8ec2e678d56d2f
+       data8 0xc3fd890709833d37, 0xf6eeb177472cedae
+       data8 0x9ba60e6a5ca133b6, 0xc41ae295f7e7fa06
+       data8 0xf713abf4cb0b3afb, 0x9bc919ea66a151a4
+       data8 0xc44709f7bb8a4dd2, 0xf74b4d5333684ef1
+       data8 0x9be0887c09ef82bb, 0xc4648fb0e0bec4c1
+       data8 0xf7707f75a72f8e94, 0x9c03c8d5fffc3503
+       data8 0xc490f9a94695ba14, 0xf7a874b97927af44
+       data8 0x9c1b5ad21a81cbb9, 0xc4aeac0173b7d390
+       data8 0xf7cddf140aedf1d8, 0x9c3ed09216e9ca02
+       data8 0xc4db5941007aa853, 0xf806291bacb7f7a9
+       data8 0x9c568656c0423def, 0xc4f938aec206291a
+       data8 0xf82bcc43b92eafef, 0x9c7a320af242ce60
+       data8 0xc52629e899dfd622, 0xf8646bf0defb759e
+       data8 0x9c920bf7a8c01dc2, 0xc54436e44043b965
+       data8 0xf88a487dfc3ff5f7, 0x9ca9f475d98b159c
+       data8 0xc562563abf9ea07f, 0xf8b03c2b46cdc17f
+       data8 0x9ccdeca60e80b5f8, 0xc58fa7d1dc42921c
+       data8 0xf8e95541c152ae7a, 0x9ce5f9d4653d4902
+       data8 0xc5adf561b91e110a, 0xf90f832c2700c160
+       data8 0x9cfe15cb38bfdd8e, 0xc5cc5591bdbd82fa
+       data8 0xf935c88e0c7f419b, 0x9d225b983f6c1f96
+       data8 0xc5fa08f1ff20593c, 0xf96f5cd84fd86873
+       data8 0x9d3a9cca32261ed7, 0xc618980a79ce6862
+       data8 0xf995dd53ebdd9d6d, 0x9d52ecfccebe1768
+       data8 0xc6373a09e34b50fa, 0xf9bc75a034436a41
+       data8 0x9d77818d95b82f86, 0xc66550a6e0baaf35
+       data8 0xf9f686f26d5518de, 0x9d8ff7893fa4706c
+       data8 0xc6842241926342c9, 0xfa1d5b39b910a8c5
+       data8 0x9da87cbef36f2a5e, 0xc6a3070b7c93bb9e
+       data8 0xfa4447acc4ecbfd2, 0x9dcd6140b4a35aeb
+       data8 0xc6d18260bb84081b, 0xfa7ed7e51e6fdfb4
+       data8 0x9de60cd06dc6e2d4, 0xc6f0977c9416828b
+       data8 0xfaa601394d49a1a0, 0x9dfec7d4cc43b76f
+       data8 0xc70fc0117c641630, 0xfacd431644ce0e40
+       data8 0x9e17925ec9fccc4a, 0xc72efc34d7e615be
+       data8 0xfaf49d96f7a75909, 0x9e3cdf6db57dc075
+       data8 0xc75dfb441594141e, 0xfb2fd3c65e562fd5
+       data8 0x9e55d110b63637a8, 0xc77d68aa019bda4c
+       data8 0xfb576c5762024805, 0x9e6ed27594550d2e
+       data8 0xc79ce9ea478dbc4f, 0xfb7f1debc22c4040
+       data8 0x9e87e3adc385d393, 0xc7bc7f1ae453219d
+       data8 0xfba6e89f32d0190a, 0x9ead9b54b37a1055
+       data8 0xc7ec0476e15e141a, 0xfbe2c803a0894893
+       data8 0x9ec6d46a3d7de215, 0xc80bcbe16f1d540f
+       data8 0xfc0ad1ff0ed9ecf0, 0x9ee01d9108be3154
+       data8 0xc82ba78a5d349735, 0xfc32f57bdfbcbe7f
+       data8 0x9ef976db07288d04, 0xc84b978847a06b87
+       data8 0xfc5b32968f99b21c, 0x9f12e05a4759ec25
+       data8 0xc86b9bf1ee817bc6, 0xfc83896bc861ab08
+       data8 0x9f2c5a20f4da6668, 0xc88bb4de3667cdf4
+       data8 0xfcabfa1861ed4815, 0x9f52af78ed1733ca
+       data8 0xc8bc00e7fe9e23a3, 0xfce8d3cea7d3163e
+       data8 0x9f6c52426a39d003, 0xc8dc4d7ff2d25232
+       data8 0xfd118595143ee273, 0x9f860593d42fd7f3
+       data8 0xc8fcaeebcb40eb47, 0xfd3a519943d4865a
+       data8 0x9f9fc97fdb96bd51, 0xc91d25431426a663
+       data8 0xfd6337f8e1ae5a4b, 0x9fb99e194f4a7037
+       data8 0xc93db09d7fdb2949, 0xfd8c38d1c8e927eb
+       data8 0x9fd383731ca51db9, 0xc95e5112e721582a
+       data8 0xfdb5544205095a53, 0x9fed79a04fbf9423
+       data8 0xc97f06bb49787677, 0xfdde8a67d2613531
+       data8 0xa00780b413b24ee8, 0xc99fd1aecd6e1b06
+       data8 0xfe07db619e781611, 0xa02eab2c4474b0cd
+       data8 0xc9d12a3e27bb1625, 0xfe460768d80bf758
+       data8 0xa048dcd51ccfd142, 0xc9f22ad82ba3d5f0
+       data8 0xfe6f9bfb06cd32f6, 0xa0631fa894b11b8d
+       data8 0xca134113105e67b2, 0xfe994bcd3d14fcc2
+       data8 0xa07d73ba65e680af, 0xca346d07b045a876
+       data8 0xfec316fecaf3f2ab, 0xa097d91e6aaf71b0
+       data8 0xca55aecf0e94bb88, 0xfeecfdaf33fadb80
+       data8 0xa0b24fe89e02602f, 0xca77068257be9bab
+       data8 0xff16fffe2fa8fad6, 0xa0ccd82d1bd2f68b
+       data8 0xca98743ae1c693a8, 0xff411e0ba9db886d
+       data8 0xa0e77200215909e6, 0xcab9f8122c99a101
+       data8 0xff6b57f7c33e4e9a, 0xa1021d760d584855
+       data8 0xcadb9221e268c3b5, 0xff95ade2d1bd7358
+       data8 0xa11cdaa36068a57d, 0xcafd4283d8043dfd
+       data8 0xffc01fed60f86fb5, 0xa137a99cbd3f880b
+       data8 0xcb1f09520d37c6fb, 0xffeaae3832b63956
+LOCAL_OBJECT_END(T_table)
+
+
+
+
+
+
 
 .section .text
-.proc  cbrt#
-.align 32
-cbrt: 
-
-
-{ .mfi
-  // get significand
-  getf.sig r23=f8
-  // will continue only for normal/denormal numbers          
-  (p0)  fclass.nm.unc p12,p0 = f8, 0x1b           
-  // r2 = pointer to C_1,...,C_5 followed by T_table
-  addl r2 = @ltoff(poly_coeffs), gp
+GLOBAL_LIBM_ENTRY(cbrt)
+
+
+{.mfi
+       // get significand
+       getf.sig GR_SIGNIF = f8
+       // normalize a
+       fma.s1 FR_ARG = f8, f1, f0
+       // GR_GP = pointer to C_1,..., C_5 followed by T_table
+       addl GR_GP = @ltoff(poly_coeffs), gp ;;
 }
+
 {.mfi
-  // get exponent
-  getf.exp r24=f8   
-  // normalize a
-  fma.s1 f14=f8,f1,f0
-  // r29=bias-((2^{12}-1)/3) -63=0xffff-0x555-0x3f=0xfa6b
-  mov r29=0xfa6b;;    
+       // get exponent
+       getf.exp GR_ARGEXP = f8
+       // will continue only for normal/denormal numbers
+       fclass.m.unc p12, p13 = f8, 0x1e7
+       // GR_CONST4 = bias-((2^{12}-1)/3)-63 = 0xffff-0x555-0x3f = 0xfa6b
+       mov GR_CONST4 = 0xfa6b ;;
 }
+
 {.mlx
-  mov r25=0x20000
-  // r28=2^52
-  movl r28=0x8000000000000000;;
-}
-{.mfb
-  // load start address for C_1,...,C_5 followed by T_table
-  ld8 r3=[r2]
-  (p12) fma.d.s0 f8=f8,f1,f0
-  (p12) br.ret.spnt b0
+       mov GR_CONST2 = 0x20000
+       // GR_CONST3 = 2^52
+       movl GR_CONST3 = 0x8000000000000000 ;;
 }
+
+.pred.rel "mutex", p12, p13
 {.mfi
-  nop.m 0
-  // y=frcpa(a)
-  frcpa.s0 f8,p6=f1,f8
-  // p7=1 if denormal input
-  cmp.gtu p7,p0=r28,r23;;
+       // load start address for C_1,..., C_5 followed by T_table
+       ld8 GR_ADDR = [ GR_GP ]
+       // y = frcpa(a)
+ (p13) frcpa.s0 f8, p0 = f1, f8
+       // p7 = 1 if denormal input
+       cmp.gtu p7, p0 = GR_CONST3, GR_SIGNIF
+}
+{.mfb
+       nop.m 0
+       // if argument is 0, +/-Infinity, NaN, or NaTVal, then return
+ (p12) fma.d.s0 f8 = f8, f1, f0
+ (p12) br.ret.spnt b0 ;;
 }
+
 {.mmi
-  // get exponent
-  (p7) getf.exp r24=f14
-  // get normalized significand
-  (p7) getf.sig r23=f14
-  // r28=bias-(2^{12}-1)
-  mov r28=0xf000;;
+       // get exponent (for denormal input)
+ (p7) getf.exp GR_ARGEXP = FR_ARG
+       // get normalized significand (for denormal input)
+ (p7) getf.sig GR_SIGNIF = FR_ARG
+       // GR_CONST1 = bias-(2^{12}-1)
+       mov GR_CONST1 = 0xf000 ;;
 }
+
 {.mii
-  // get r26=sign
-  and r26=r24,r25
-  // eliminate leading 1 from r23=1st table index
-  shl r23=r23,1
-  // eliminate sign from exponent (r25)
-  andcm r25=r24,r25;;
+       // get GR_SIGN = sign
+       and GR_SIGN = GR_ARGEXP, GR_CONST2
+       // eliminate leading 1 from GR_I1 = 1st table index
+       shl GR_I1 = GR_SIGNIF, 1
+       // eliminate sign from exponent
+       andcm GR_EXP = GR_ARGEXP, GR_CONST2 ;;
 }
+
 {.mib
-  add r2=32,r3
-  // r23=1st table index (y_index,8 bits)
-  shr.u r23=r23,56
-  nop.b 0
+       add GR_ADDR2 = 32, GR_ADDR
+       // GR_IT1 = 1st table index (y_index, 8 bits)
+       shr.u GR_IT1 = GR_I1, 56
+       nop.b 0
 }
 {.mib
-  // load C_1
-  ldfe f7=[r3],16
-  // subtract bias from r25=exponent
-  sub r25=r25,r28
-  nop.b 0;;
+       // load C_1
+       ldfe FR_COEFF1 = [ GR_ADDR ], 16
+       // subtract bias from GR_EXPON = exponent
+       sub GR_EXPON = GR_EXP, GR_CONST1
+       nop.b 0 ;;
 }
+
 {.mib
-  // load C_2, C_3
-  ldfpd f9,f10=[r3]
-  // 1: exponent*=5;  // (2^{16}-1)/3=0x5555
-  shladd r24=r25,2,r25
-  nop.b 0
+       // load C_2, C_3
+       ldfpd FR_COEFF2, FR_COEFF3 = [ GR_ADDR ]
+       // 1: exponent* = 5; // (2^{16}-1)/3 = 0x5555
+       shladd GR_TMP1 = GR_EXPON, 2, GR_EXPON
+       nop.b 0
 }
 {.mib
-  // load C_4, C_5
-  ldfpd f11,f12=[r2],16
-  // r23=3*y_index
-  shladd r23=r23,1,r23
-  nop.b 0;;
+       // load C_4, C_5
+       ldfpd FR_COEFF4, FR_COEFF5 = [ GR_ADDR2 ], 16
+       // GR_TMP2 = 3*y_index
+       shladd GR_TMP2 = GR_IT1, 1, GR_IT1
+       nop.b 0 ;;
 }
 
 {.mfi
-  // r30=(5*expon)*16+5*expon=(0x55)*expon
-  shladd r30=r24,4,r24
-  // r=1-a*y
-  (p6) fnma.s1 f6=f8,f14,f1
-  // adjust T_table pointer by 1st index
-  shladd r2=r23,3,r2;;
+       // GR_TMP6 = (5*expon)*16+5*expon = (0x55)*expon
+       shladd GR_TMP6 = GR_TMP1, 4, GR_TMP1
+       // r = 1-a*y
+       fnma.s1 FR_R = f8, FR_ARG, f1
+       // adjust T_table pointer by 1st index
+       shladd GR_ITB1 = GR_TMP2, 3, GR_ADDR2 ;;
 }
 
 {.mii
-  nop.m 0
-  // r24=(0x5500)*expon
-  shl r24=r30,8;;
-  // r24=(0x5555)*expon
-  add r24=r24,r30;;
+       // eliminate leading 1 from significand
+       add GR_SIGNIF2 = GR_SIGNIF, GR_SIGNIF
+       // GR_TMP3 = (0x5500)*expon
+       shl GR_TMP3 = GR_TMP6, 8 ;;
+       // GR_TMP4 = (0x5555)*expon
+       add GR_TMP4 = GR_TMP3, GR_TMP6 ;;
 }
+
 {.mii
-  // r24=(0x5556)*expon  // 0x5556=(2^{16}+2)/3
-  add r24=r24,r25
-  nop.i 0;;
-  // r24=floor(expon/3)
-  shr r24=r24,16;;
+       // GR_TMP5 = (0x5556)*expon // 0x5556 = (2^{16}+2)/3
+       add GR_TMP5 = GR_TMP4, GR_EXPON
+       nop.i 0 ;;
+       // GR_EXP_BY_3 = floor(expon/3)
+       shr GR_EXP_BY_3 = GR_TMP5, 16 ;;
 }
+
 {.mfi
-  // r28=3*exponent
-  shladd r28=r24,1,r24
-  // r2=r*r
-  (p6) fma.s1 f13=f6,f6,f0
-  // bias exponent
-  add r24=r29,r24;;
+       // GR_TMP6 = 3*exponent
+       shladd GR_TMP6 = GR_EXP_BY_3, 1, GR_EXP_BY_3
+       // r*r
+       fma.s1 FR_R2 = FR_R, FR_R, f0
+       // bias exponent
+       add GR_EBIAS = GR_CONST4, GR_EXP_BY_3 ;;
 }
+
 {.mfi
-  // get remainder of exponent/3 : r25-r28
-  sub r25=r25,r28
-  // c2+c3*r
-  (p6) fma.s1 f9=f10,f6,f9
-  // add sign to exponent
-  or r24=r24,r26
+       // get remainder of exponent/3
+       sub GR_REM = GR_EXPON, GR_TMP6
+       // c2+c3*r
+       fma.s1 FR_P23 = FR_COEFF3, FR_R, FR_COEFF2
+       nop.i 0
 }
 {.mfi
-  nop.m 0
-  // c4+c5*r
-  (p6) fma.s1 f11=f12,f6,f11
-  nop.i 0;;
+       // add sign to exponent
+       or GR_SEXP = GR_EBIAS, GR_SIGN
+       // c4+c5*r
+       fma.s1 FR_P45 = FR_COEFF5, FR_R, FR_COEFF4
+       mov GR_TMP63 = 63+0xffff ;;
 }
+
 {.mmi
-  // f14=sign*2^{exponent/3}
-  (p6) setf.exp f14=r24
-  // adjust T_table pointer by 2nd index
-  shladd r2=r25,3,r2
-  nop.i 0;;
+       // FR_2EXP = sign*2^{exponent/3}
+       setf.exp FR_2EXP = GR_SEXP
+       // adjust T_table pointer by 2nd index
+       shladd GR_INDEX = GR_REM, 3, GR_ITB1
+       // is the argument of the form 2^(3*k) ?
+       // get (significand - leading 1) | (exponent mod 3)
+       or GR_TEST = GR_REM, GR_SIGNIF2 ;;
 }
+
 {.mmi
-  // load T
-  (p6) ldf8 f8=[r2]
-  nop.m 0
-  nop.i 0;;
+       // 2^63
+       setf.exp FR_TMP63 = GR_TMP63
+       // load T
+       ldf8 f8 = [ GR_INDEX ]
+       // is the argument of the form 2^(3*k) ?
+       cmp.eq p14, p0 = GR_TEST, r0 ;;
 }
 
 {.mfi
-  nop.m 0
-  // (c2+c3*r)+r^2*(c4+c5*r)
-  (p6) fma.s1 f9=f11,f13,f9
-  nop.i 0
+       nop.m 0
+       // (c2+c3*r)+r^2*(c4+c5*r)
+       fma.s1 FR_P25 = FR_P45, FR_R2, FR_P23
+       nop.i 0
 }
 {.mfi
-  nop.m 0
-  // c1*r
-  (p6) fma.s1 f7=f7,f6,f0
-  nop.i 0;;
+       nop.m 0
+       // c1*r
+       fma.s1 FR_P1 = FR_COEFF1, FR_R, f0
+       nop.i 0 ;;
+}
+
+{.mfb
+       nop.m 0
+ (p14) fma.d.s0 f8 = FR_2EXP, FR_TMP63, f0
+ (p14) br.ret.spnt b0 ;;
 }
 
 {.mfi
-  nop.m 0
-  // P=c1*r+r^2*[(c2+c3*r)+r^2*(c4+c5*r)]
-  (p6) fma.s1 f9=f9,f13,f7
-  nop.i 0
+       nop.m 0
+       // P = c1*r+r^2* [ (c2+c3*r)+r^2*(c4+c5*r) ]
+       fma.s1 FR_P15 = FR_P25, FR_R2, FR_P1
+       nop.i 0
 }
 {.mfi
-  nop.m 0
-  // T'=T*(2^exp)
-  (p6) fma.s1 f8=f8,f14,f0
-  nop.i 0;;
+       nop.m 0
+       // T' = T*(2^exp)
+       fma.s1 f8 = f8, FR_2EXP, f0
+       nop.i 0 ;;
 }
+
 {.mfb
-  nop.m 0
-  // result = T'-T'*P
-  (p6) fnma.d.s0 f8=f8,f9,f8
-  br.ret.sptk b0;;
+       nop.m 0
+       // result = T'+T'*P
+       fma.d.s0 f8 = f8, FR_P15, f8
+       br.ret.sptk b0 ;;
 }
-.endp cbrt
-ASM_SIZE_DIRECTIVE(cbrt)
+
+
+GLOBAL_LIBM_END(cbrt)
diff --git a/sysdeps/ia64/fpu/s_cbrtf.S b/sysdeps/ia64/fpu/s_cbrtf.S
index 20167797b8..c8c6500b25 100644
--- a/sysdeps/ia64/fpu/s_cbrtf.S
+++ b/sysdeps/ia64/fpu/s_cbrtf.S
@@ -1,11 +1,10 @@
-.file "cbrtf.asm"
+.file "cbrtf.s"
 
-// Copyright (C) 2000, 2001, Intel Corporation
+
+// Copyright (c) 2000 - 2003, Intel Corporation
 // All rights reserved.
-// 
-// Contributed 2/2/2000 by John Harrison, Cristina Iordache, Ted Kubaska, 
-// Bob Norin, Shane Story, and Ping Tak Peter Tang 
-// of the Computational Software Lab, Intel Corporation.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
 //
 // Redistribution and use in source and binary forms, with or without
 // modification, are permitted provided that the following conditions are
@@ -21,27 +20,30 @@
 // * The name of Intel Corporation may not be used to endorse or promote
 // products derived from this software without specific prior written
 // permission.
-//
-// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
-// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
-// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS 
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
 // CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
-// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, 
-// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 
-// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY 
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
 // OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
-// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 
-// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 
-// 
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+//
 // Intel Corporation is the author of this code, and requests that all
-// problem reports or change requests be submitted to it directly at 
-// http://developer.intel.com/opensource.
+// problem reports or change requests be submitted to it directly at
+// http: //www.intel.com/software/products/opensource/libraries/num.htm.
 //
 // History
 //==============================================================
-// 2/02/00: Initial version 
-// 5/18/00: New version (modified algorithm)
+// 02/02/00 Initial version
+// 05/18/00 New version (modified algorithm)
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 01/28/03 Rescheduled some instructions for better performance
+//          on Itanium 2, and reformatted
 //
 // API
 //==============================================================
@@ -53,616 +55,710 @@
 //
 // Implementation
 //
-//   cbrt(a) = cbrt(a y) / cbrt(y)
-//          = cbrt(1 - (1 - a y)) * 1/cbrt(y)
+// Let y= frcpa(a), where a is the argument
 //
-// where y = frcpa(a). 
+// cbrt(a)= cbrt(a*y)/cbrt(y) = cbrt(1 - (1-a*y)) * (1/cbrt(y))
 //
-//  * cbrt(1 - (1 - a y)) is approximated by a degree-2 polynomial 
-//   
-//  1 - (1/3)*r - (1/9)*r^2
-// 
-//  in r = 1 - a y.
+// For all values of y, the 3 possible significands of 1/cbrt(y)
+// are stored in a table (T0) to 64 bits of accuracy. (There are
+// 3 possible significands because the exponent of y modulo 3
+// can be 0, 1, or 2.)
 //
-//  * The values 1/cbrt(y) are stored in a table of constants T0
-//   to 64 bits of accuracy
+//
+// * cbrt(1 - (1-a*y)) is approximated by a degree-2 polynomial
+//
+// 1 - (1/3)*r - (1/9)*r^2
+//
+// in r = 1-a*y.
 //
 // The table values are stored for three exponent values and are
-// then multiplied by e/3 where e is the exponent of the input number.
+// then multiplied by 2^(e/3) where e is the exponent of the input number.
 // This computation is carried out in parallel with the polynomial
 // evaluation:
 //
-//      T = 2^(e/3) * T0
+// T= 2^(e/3) * T0
 
 
 
 
 
 //===============
-// input = x
-// C = frcpa(x)
-// r = 1 - C * x
+// input= x
+// C= frcpa(x)
+// r= 1 - C * x
 //
-// Special values 
+// Special values
 //==============================================================
 
 
 
 // Registers used
 //==============================================================
-//   f6-f15
-//   r2, r23-r26, r28-r30
-//   p6,p7,p8,p12
+// p6, p7, p8, p12
+
+       FR_R      = f6
+       FR_COEFF1 = f7
+       FR_COEFF2 = f9
+       FR_T0     = f10
+       FR_T1     = f11
+       FR_T2     = f12
+       FR_2M63   = f13
+       FR_ARG    = f14
+       FR_Y      = f15
+
+       GR_GP     = r2
+       GR_ADDR   = r2
+       GR_TMP5   = r3
+       GR_CONST  = r8
+       GR_TMP63  = r8
+       GR_SIGN   = r9
+       GR_CT2    = r10
+       GR_CT3    = r11
+       GR_TMP4   = r14
+       GR_EBIAS3 = r15
+       GR_REM    = r16
+       GR_SEXP   = r17
+       GR_2P63   = r18
+       GR_SIGNIF = r19
+       GR_I1     = r20
+       GR_EBIAS  = r21
+       GR_EXP    = r22
+       GR_IT1    = r23
+       GR_E5     = r24
+       GR_IT1_3  = r25
+       GR_TP1    = r26
+       GR_TMP    = r27
+       GR_TMP2   = r28
+       GR_TMP3   = r29
+       GR_EXP3   = r30
+       GR_ARGEXP = r31
+
+
 
-#include "libm_support.h"
 
 // Data tables
 //==============================================================
 
-#ifdef _LIBC
-.rodata
-#else
-.data
-#endif
+RODATA
 
 .align 16
 
-poly_coeffs:
-ASM_TYPE_DIRECTIVE(poly_coeffs,@object)
-data8 0xaaaaaaaaaaaaaaab, 0x00003ffd // 1/3
-data8 0xe38e38e38e38e38e, 0x00003ffb // 1/9
-ASM_SIZE_DIRECTIVE(poly_coeffs)
-
-
-T_table:
-ASM_TYPE_DIRECTIVE(T_table,@object)
-
-data8 0x80155c748c374836, 0xa160019ed37fb4ae
-data8 0xcb51ddcb9e93095e, 0x8040404b0879f7f9
-data8 0xa1960b5966da4608, 0xcb95f333968ad59b
-data8 0x806b5dce4b405c10, 0xa1cc5dbe6dc2aab4
-data8 0xcbda64292d3ffd97, 0x8096b586974669b1
-data8 0xa202f97995b69c0d, 0xcc1f3184af961596
-data8 0x80bcd273d952a028, 0xa232fe6eb0c0577d
-data8 0xcc5bb1ac954d33e2, 0x80e898c52813f2f3
-data8 0xa26a2582012f6e17, 0xcca12e9831fc6402
-data8 0x81149add67c2d208, 0xa2a197e5d10465cb
-data8 0xcce70a67b64f24ad, 0x813b4e2c856b6e9a
-data8 0xa2d25a532efefbc8, 0xcd24794726477ea5
-data8 0x8167c1dde03de7aa, 0xa30a5bd6e49e4ab8
-data8 0xcd6b096a0b70ee87, 0x818ed973b811135e
-data8 0xa33b9c9b59879e24, 0xcda9177738b15a90
-data8 0x81bbc0c33e13ec98, 0xa3742fca6a3c1f21
-data8 0xcdf05f2247dffab9, 0x81e33e69fbe7504a
-data8 0xa3a5f1273887bf22, 0xce2f0f347f96f906
-data8 0x820aec524e3c23e9, 0xa3d7ef508ff11574
-data8 0xce6e0be0cd551a61, 0x823880f78e70b805
-data8 0xa4115ce30548bc15, 0xceb666b2c347d1de
-data8 0x826097a62a8e5200, 0xa443df0e53df577a
-data8 0xcef609b0cb874f00, 0x8288dfe00e9b5eaf
-data8 0xa4769fa5913c0ec3, 0xcf35fb5447e5c765
-data8 0x82b15a10c5371624, 0xa4a99f303bc7def5
-data8 0xcf763c47ee869f00, 0x82da06a527b18937
-data8 0xa4dcde37779adf4b, 0xcfb6cd3888d71785
-data8 0x8302e60b635ab394, 0xa5105d46152c938a
-data8 0xcff7aed4fbfbb447, 0x832bf8b2feec2f0e
-data8 0xa5441ce89825cb8d, 0xd038e1ce5167e3c6
-data8 0x83553f0ce00e276b, 0xa5781dad3e54d899
-data8 0xd07a66d7bfa0ebba, 0x837eb98b50f8322a
-data8 0xa5ac602406c4e68c, 0xd0bc3ea6b32d1b21
-data8 0x83a270f44c84f699, 0xa5d9601d95c2c0bc
-data8 0xd0f4f0e8f36c1bf8, 0x83cc4d7cfcfac5ca
-data8 0xa60e1e1a2de14745, 0xd1376458e34b037e
-data8 0x83f65f78a8872b4c, 0xa6431f6e3fbd9658
-data8 0xd17a2ca133f78572, 0x8420a75f2f7b53c8
-data8 0xa67864b0d432fda4, 0xd1bd4a80301c5715
-data8 0x844510461ff14209, 0xa6a6444aa0243c0b
-data8 0xd1f71682b2fa4575, 0x846fbd91b930bed2
-data8 0xa6dc094d10f25792, 0xd23ad555f773f059
-data8 0x84947e18234f3294, 0xa70a574cc02bba69
-data8 0xd2752c7039a5bf73, 0x84bf92755825045a
-data8 0xa7409e2af9549084, 0xd2b98ee008c06b59
-data8 0x84e4ac0ee112ba51, 0xa76f5c64ca2cf13b
-data8 0xd2f4735ffd700280, 0x8509ef44b86f20be
-data8 0xa79e4f0babab5dc0, 0xd32f99ed6d9ac0e1
-data8 0x85359d5d91768427, 0xa7d5579ae5164b85
-data8 0xd374f0666c75d51c, 0x855b3bd5b7384357
-data8 0xa804bd3c6fe61cc8, 0xd3b0a7d13618e4a1
-data8 0x858104f0c415f79a, 0xa8345895e5250a5a
-data8 0xd3eca2ea53bcec0c, 0x85a6f90390d29864
-data8 0xa8642a122b44ef0b, 0xd428e23874f13a17
-data8 0x85d3772fcd56a1dd, 0xa89c38ca18f6108b
-data8 0xd46f82fe293bc6d3, 0x85f9c982fcc002f3
-data8 0xa8cc81063b6e87ca, 0xd4ac57e9b7186420
-data8 0x862047e0e7ea554b, 0xa8fd00bfa409285e
-data8 0xd4e972becb04e8b8, 0x8646f2a26f7f5852
-data8 0xa92db8664d5516da, 0xd526d40a7a9b43a3
-data8 0x866dca21754096b5, 0xa95ea86b75cc2c20
-data8 0xd5647c5b73917370, 0x8694ceb8dfd17a37
-data8 0xa98fd141a4992deb, 0xd5a26c4201bd6d13
-data8 0x86bc00c49e9307e8, 0xa9c1335cae7446ba
-data8 0xd5e0a45015350a7e, 0x86dccd74fce79610
-data8 0xa9ea8686f556f645, 0xd614b539c6194104
-data8 0x870453c845acf90f, 0xaa1c52d17906bb19
-data8 0xd6537310e224283f, 0x872c089a1e90342c
-data8 0xaa4e59b046dab887, 0xd6927ab62244c917
-data8 0x8753ec4a92d16c5e, 0xaa809b9c60d1890b
-data8 0xd6d1ccc1fc4ef4b7, 0x877bff3aca19f6b4
-data8 0xaab319102f3f9b33, 0xd71169cea98fdded
-data8 0x879d88b6fe1c324c, 0xaadd5a18c1e21274
-data8 0xd746a66a5bc9f6d9, 0x87c5f346dbf98c3a
-data8 0xab1045f2ac31bdf5, 0xd786ce8f0fae5317
-data8 0x87e7c653efacef2c, 0xab3ae3ab2df7231e
-data8 0xd7bc7ff214c4e75a, 0x881089d4e73ffefc
-data8 0xab6e3f945d1e96fc, 0xd7fd35467a517ed1
-data8 0x88397e6a366f2a8a, 0xaba1d953a08fa94e
-data8 0xd83e38838648d815, 0x885bc559e5e1c081
-data8 0xabcd090db7ef4c3f, 0xd874a1db598b8951
-data8 0x887e2ee392bb7a93, 0xabf864602d7c323d
-data8 0xd8ab42205b80edaf, 0x88a7a8587e404257
-data8 0xac2ca5886ccf9b57, 0xd8ed1849d202f965
-data8 0x88ca5eda67594784, 0xac5861d4aa441f0f
-data8 0xd92432bd5a173685, 0x88f4356166bd590e
-data8 0xac8d183fe3a2fbed, 0xd9669ca45b03c23e
-data8 0x89173a0acf5ce026, 0xacb93703ff51571e
-data8 0xd99e3327cf89574e, 0x893a62a098b6a57b
-data8 0xace5830ad0c3f14b, 0xd9d602b19b100466
-data8 0x895daf637236ae2c, 0xad11fca5d78b3ff2
-data8 0xda0e0ba86c096841, 0x89883b9d1c2fa9c5
-data8 0xad4797fddf91a798, 0xda5195fcdb1c3dce
-data8 0x89abd8dd374a5d7b, 0xad747701e559ebcb
-data8 0xda8a1eb87a491f6c, 0x89cf9b1dcd197fa0
-data8 0xada184a47e9c7613, 0xdac2e230b91c3f84
-data8 0x89f382a258ea79de, 0xadcec13ab0dda8ff
-data8 0xdafbe0d0b66aea30, 0x8a178faf06648f29
-data8 0xadfc2d1a5fd21ba8, 0xdb351b04a8fafced
-data8 0x8a3bc288b3e1d18a, 0xae29c89a5053c33a
-data8 0xdb6e9139e33cdd8e, 0x8a601b74f4d1f835
-data8 0xae5794122b638df9, 0xdba843ded7151ea1
-data8 0x8a849aba14274764, 0xae858fda8137ae0a
-data8 0xdbe2336319b61fc8, 0x8aa9409f16cdbc9b
-data8 0xaeb3bc4ccc56d3d1, 0xdc1c60376789fa68
-data8 0x8ace0d6bbe2cb316, 0xaee219c374c09920
-data8 0xdc56cacda82d0cd5, 0x8af301688ab33558
-data8 0xaf10a899d3235fe7, 0xdc917398f2797814
-data8 0x8b181cdebe6f3206, 0xaf3f692c341fe8b4
-data8 0xdccc5b0d90a3e628, 0x8b3d60185fafcb7c
-data8 0xaf6e5bd7db9ae6c2, 0xdd0781a10469f0f2
-data8 0x8b62cb603bb2fad0, 0xaf9d80fb081cd91b
-data8 0xdd42e7ca0b52838f, 0x8b80d7d6bc4104de
-data8 0xafc35ce063eb3787, 0xdd729ad01c69114d
-data8 0x8ba68bf73ac74f39, 0xaff2ddcb5f28f03d
-data8 0xddae749c001fbf5e, 0x8bcc68fb9f9f7335
-data8 0xb022923b148e05c5, 0xddea8f50a51c69b1
-data8 0x8bf26f31c534fca2, 0xb0527a919adbf58b
-data8 0xde26eb69a0f0f111, 0x8c10f86e13a1a1f9
-data8 0xb078f3ab1d701c65, 0xde576480262399bc
-data8 0x8c3749916cc6abb5, 0xb0a93a6870649f31
-data8 0xde943789645933c8, 0x8c5dc4c4f7706032
-data8 0xb0d9b624d62ec856, 0xded14d58139a28af
-data8 0x8c7cac3a8c42e3e0, 0xb100a5f53fb3c8e1
-data8 0xdf025c00bbf2b5c7, 0x8ca373f1b7bf2716
-data8 0xb131821882f5540a, 0xdf3feb44d723a713
-data8 0x8cc29907fb951294, 0xb158bf8e4cb04055
-data8 0xdf715bc16c159be0, 0x8ce9ae4e9492aac8
-data8 0xb189fd69d56b238f, 0xdfaf66240e29cda8
-data8 0x8d0911dddbfdad0e, 0xb1b189958e8108e4
-data8 0xdfe139cbf6e19bdc, 0x8d3075c4f20f04ee
-data8 0xb1e32a8165b09832, 0xe01fc0fe94d9fc52
-data8 0x8d5018a9d4de77d5, 0xb20b0678fc271eec
-data8 0xe051f92ffcc0bd60, 0x8d77cc47dd143515
-data8 0xb23d0bd3f7592b6e, 0xe090feec9c9a06ac
-data8 0x8d97af6352739cb7, 0xb26538b2db8420dc
-data8 0xe0c39d0c9ff862d6, 0x8db7af523167800f
-data8 0xb28d89e339ceca14, 0xe0f668eeb99f188d
-data8 0x8ddfd80bc68c32ff, 0xb2c022ca12e55a16
-data8 0xe1362890eb663139, 0x8e00197e1e7c88fe
-data8 0xb2e8c6852c6b03f1, 0xe1695c7212aecbaa
-data8 0x8e207859f77e20e7, 0xb3118f4eda9fe40f
-data8 0xe19cbf0391bbbbe9, 0x8e40f4ce60c9f8e2
-data8 0xb33a7d6268109ebe, 0xe1d050901c531e85
-data8 0x8e69ba46cf2fde4d, 0xb36ddbc5ea70ec55
-data8 0xe2110903b4f4047a, 0x8e8a7a00bd7ae63e
-data8 0xb3971e9b39264023, 0xe2450559b4d80b6d
-data8 0x8eab57ef1cf2f529, 0xb3c0877ecc18e24a
-data8 0xe27931a231554ef3, 0x8ecc5442cffb1dad
-data8 0xb3ea16ae3a6c905f, 0xe2ad8e2ac3c5b04b
-data8 0x8eed6f2d2a4acbfe, 0xb413cc67aa0e4d2d
-data8 0xe2e21b41b9694cce, 0x8f0ea8dff24441ff
-data8 0xb43da8e9d163e1af, 0xe316d93615862714
-data8 0x8f385c95d696b817, 0xb47233773b84d425
-data8 0xe3590bd86a0d30f9, 0x8f59dc43edd930f3
-data8 0xb49c6825430fe730, 0xe38e38e38e38e38e
-data8 0x8f7b7b5f5ffad1c4, 0xb4c6c46bcdb27dcf
-data8 0xe3c397d1e6db7839, 0x8f9d3a1bea165f38
-data8 0xb4f1488c0b35d26f, 0xe3f928f5953feb9e
-data8 0x8fbf18adc34b66da, 0xb51bf4c7c51f0168
-data8 0xe42eeca17c62886c, 0x8fe117499e356095
-data8 0xb546c9616087ab9c, 0xe464e32943446305
-data8 0x90033624aa685f8d, 0xb571c69bdffd9a70
-data8 0xe49b0ce15747a8a2, 0x9025757495f36b86
-data8 0xb59cecbae56984c3, 0xe4d16a1eee94e9d4
-data8 0x903f3a5dcc091203, 0xb5bd64512bb14bb7
-data8 0xe4fa52107353f67d, 0x9061b2fceb2bdbab
-data8 0xb5e8d2a4bf5ba416, 0xe5310a471f4d2dc3
-data8 0x90844ca7211032a7, 0xb6146a9a1bc47819
-data8 0xe567f6f1c2b9c224, 0x90a7079403e6a15d
-data8 0xb6402c7749d621c0, 0xe59f18689a9e4c9a
-data8 0x90c9e3fbafd63799, 0xb66c1882fb435ea2
-data8 0xe5d66f04b8a68ecf, 0x90ece216c8a16ee4
-data8 0xb6982f048c999a56, 0xe60dfb2005c192e9
-data8 0x9110021e7b516f0a, 0xb6c47044075b4142
-data8 0xe645bd1544c7ea51, 0x912a708a39be9075
-data8 0xb6e5bd6bfd02bafd, 0xe66fb21b505b20a0
-data8 0x914dcc7b31146370, 0xb7124a2736ff8ef2
-data8 0xe6a7d32af4a7c59a, 0x91714af8cfe984d5
-data8 0xb73f026a01e94177, 0xe6e02b129c6a5ae4
-data8 0x918c00a6f3795e97, 0xb760a959f1d0a7a7
-data8 0xe70a9136a7403039, 0x91afbc299ed0295d
-data8 0xb78dae7e06868ab0, 0xe74349fb2d92a589
-data8 0x91d39add3e958db0, 0xb7badff8ad9e4e02
-data8 0xe77c3a9c86ed7d42, 0x91ee9920a8974d92
-data8 0xb7dce25b8e17ae9f, 0xe7a713f88151518a
-data8 0x9212b5fcac537c19, 0xb80a6226904045e2
-data8 0xe7e067453317ed2b, 0x9236f6b256923fcf
-data8 0xb8380f1cafd73c1c, 0xe819f37a81871bb5
-data8 0x92523ee6f90dcfc3, 0xb85a6ea8e321b4d8
-data8 0xe8454236bfaeca14, 0x9276bef031e6eb79
-data8 0xb8886b684ae7d2fa, 0xe87f32f24c3fc90e
-data8 0x929236ec237a24ad, 0xb8ab0726fa00cf5d
-data8 0xe8aacd8688892ba6, 0x92b6f70b7efe9dc3
-data8 0xb8d954a4d13b7cb1, 0xe8e523fd32f606f7
-data8 0x92d29f61eec7dc2b, 0xb8fc2d4f6cd9f04a
-data8 0xe9110b5311407927, 0x92f7a05d5b8ba92f
-data8 0xb92acc851476b1ab, 0xe94bc8bf0c108fa3
-data8 0x931379a403be5c16, 0xb94de2d841a184c2
-data8 0xe977fdc439c2ca3c, 0x9338bc44de2e3f34
-data8 0xb97cd4c36c92693c, 0xe9b3236528fc349e
-data8 0x9354c71412c69486, 0xb9a0297f172665e3
-data8 0xe9dfa70b745ac1b4, 0x937a4c273907e262
-data8 0xb9cf6f21e36c3924, 0xea1b36268d0eaa38
-data8 0x93968919f6e7975d, 0xb9f3030951267208
-data8 0xea480963fd394197, 0x93bc516fdd4680c9
-data8 0xba229d6a618e7c59, 0xea84034425f27484
-data8 0x93d8c123d9be59b2, 0xba467144459f9855
-data8 0xeab12713138dd1cc, 0x93f546c955e60076
-data8 0xba6a60c3c48f1a4b, 0xeade6db73a5e503b
-data8 0x941b70a65879079f, 0xba9a76056b67ee7a
-data8 0xeb1b0268343b121b, 0x943829f337410591
-data8 0xbabea699563ada6e, 0xeb489b0b2bdb5f14
-data8 0x9454f995765bc4d2, 0xbae2f350b262cc4b
-data8 0xeb765721e85f03d0, 0x947b86b57f5842ed
-data8 0xbb1385a23be24e57, 0xebb389645f222f62
-data8 0x94988aeb23470f86, 0xbb3814975e17c680
-data8 0xebe198f090607e0c, 0x94b5a5dc9695f42a
-data8 0xbb5cc031009bf467, 0xec0fcc9321024509
-data8 0x94d2d7a9170d8b42, 0xbb81889680024764
-data8 0xec3e247da8b82f61, 0x94f9e87dd78bf019
-data8 0xbbb2c0d8703ae95d, 0xec7c27d21321c9f7
-data8 0x95175019a503d89e, 0xbbd7cd09ba3c5463
-data8 0xecaad5278824e453, 0x9534cefa625fcb3a
-data8 0xbbfcf68c4977718f, 0xecd9a76d097d4e77
-data8 0x955265405c491a25, 0xbc223d88cfc88eee
-data8 0xed089ed5dcd99446, 0x9570130c1f9bb857
-data8 0xbc47a2284fee4ff8, 0xed37bb95add09a1c
-data8 0x9597ca4119525184, 0xbc79ac0916ed7b8a
-data8 0xed76c70508f904b6, 0x95b5af6fb5aa4d3c
-data8 0xbc9f5670d1a13030, 0xeda63bb05e7f93c6
-data8 0x95d3ac9273aafd7a, 0xbcc51f068cb95c1d
-data8 0xedd5d661daed2dc4, 0x95f1c1cafdfd3684
-data8 0xbceb05f4b30a9bc0, 0xee05974eef86b903
-data8 0x960fef3b430b8d5f, 0xbd110b6604c7d306
-data8 0xee357ead791fc670, 0x962e350575b409c5
-data8 0xbd372f8598620f19, 0xee658cb3c134a463
-data8 0x964c934c0dfc1708, 0xbd5d727edb6b3c7e
-data8 0xee95c1987f080211, 0x966b0a31c9c6bc7d
-data8 0xbd83d47d937bbc6d, 0xeec61d92d8c4314f
-data8 0x968999d9ad8d264e, 0xbdaa55addf1ae47d
-data8 0xeef6a0da64a014ac, 0x96a8426705198795
-data8 0xbdd0f63c36aa73f0, 0xef274ba72a07c811
-data8 0x96c703fd64445ee5, 0xbdf7b6556d550a15
-data8 0xef581e31a2c91260, 0x96e5dec0a7b4268d
-data8 0xbe1e9626b1ffa96b, 0xef8918b2bc43aec6
-data8 0x9704d2d4f59f79f3, 0xbe4595dd903e5371
-data8 0xefba3b63d89d7cbf, 0x9723e05ebe91b9b0
-data8 0xbe6cb5a7f14bc935, 0xefeb867ecffaa607
-data8 0x97430782be323831, 0xbe93f5b41d047cf7
-data8 0xf01cfa3df1b9c9fa, 0x97624865fc0df8bf
-data8 0xbebb5630bae4c15f, 0xf04e96dc05b43e2d
-data8 0x9781a32dcc640b2a, 0xbee2d74cd30a430c
-data8 0xf0805c944d827454, 0x97a117ffd0f48e46
-data8 0xbf0a7937cf38d981, 0xf0b24ba285c495cb
-data8 0x97c0a701f9d263c9, 0xbf323c217be2bc8c
-data8 0xf0e46442e76f6569, 0x97e0505a8637a036
-data8 0xbf5a203a09342bbb, 0xf116a6b2291d7896
-data8 0x97f57a9fb0b08c6e, 0xbf74cad1c14ebfc4
-data8 0xf1383fa9e9b5b381, 0x9815503365914a9d
-data8 0xbf9ce6a497a89f78, 0xf16ac84f90083b9b
-data8 0x98354085054fd204, 0xbfc52428bec6e72f
-data8 0xf19d7b686dcb03d7, 0x98554bbbf8a77902
-data8 0xbfed838fddab024b, 0xf1d0593311db1757
-data8 0x987571fffb7f94f6, 0xc016050c0420981a
-data8 0xf20361ee8f1c711e, 0x9895b3791dd03c23
-data8 0xc03ea8cfabddc330, 0xf23695da7de51d3f
-data8 0x98ab43a5fc65d0c8, 0xc059d3cbd65ddbce
-data8 0xf258d095e465cc35, 0x98cbb2d196bd713d
-data8 0xc082b122a3c78c9d, 0xf28c4d0bfc982b34
-data8 0x98ec3d9ec7b6f21a, 0xc0abb1499ae736c4
-data8 0xf2bff55eb3f0ea71, 0x990ce436db5e8344
-data8 0xc0d4d474c3aedaaf, 0xf2f3c9cf9884636e
-data8 0x9922b8218160967a, 0xc0f054ca33eb3437
-data8 0xf31670135ab9cc0f, 0x99438d686f75779d
-data8 0xc119b2c67e600ed0, 0xf34a8e9f0b54cdfb
-data8 0x99647eea131fa20b, 0xc1433453de2033ff
-data8 0xf37ed9fa6b8add3f, 0x997a85045a47c6d0
-data8 0xc15ef3e44e10032d, 0xf3a1cfe884ef6bb6
-data8 0x999ba5f14f8add02, 0xc188b130431d80e6
-data8 0xf3d66689dcc8e8d3, 0x99bce38b5465ecae
-data8 0xc1b2929d6067730e, 0xf40b2ab069d5c96a
-data8 0x99d31ca0887f30f9, 0xc1ce9268f31cc734
-data8 0xf42e718b90c8bc16, 0x99f48a669c74c09e
-data8 0xc1f8b0877c1b0c08, 0xf463822a0a3b4b00
-data8 0x9a16154eb445c873, 0xc222f35a87b415ba
-data8 0xf498c1076015faf8, 0x9a2c822ec198d667
-data8 0xc23f3467349e5c88, 0xf4bc5a19a33990b5
-data8 0x9a4e3e080cd91b78, 0xc269b4e40e088c01
-data8 0xf4f1e6a7d6f5425f, 0x9a70177afe52322e
-data8 0xc2945aac24daaf6e, 0xf527a232cf6be334
-data8 0x9a86b8fa94eebe10, 0xc2b0de05e43c1d66
-data8 0xf54b8ecdcda90851, 0x9aa8c42866ae2958
-data8 0xc2dbc275e1229d09, 0xf5819949c7ad87b4
-data8 0x9abf86f9e12fc45e, 0xc2f86fca9d80eeff
-data8 0xf5a5bac9213b48a9, 0x9ae1c462fc05f49d
-data8 0xc323938449a2587e, 0xf5dc1501f324a812
-data8 0x9af8a8dc936b84d0, 0xc3406b40a538ed20
-data8 0xf6006bee86b5589e, 0x9b1b19033be35730
-data8 0xc36bcee8211d15e0, 0xf63716b2fa067fa4
-data8 0x9b3da7daf04c2892, 0xc397593adf2ba366
-data8 0xf66df22fb6132b9c, 0x9b54c2e4c8a9012b
-data8 0xc3b475b6206155d5, 0xf6929fb98225deb1
-data8 0x9b77854e6c661200, 0xc3e0410243b97383
-data8 0xf6c9cd13021e3fea, 0x9b8ec2e678d56d2f
-data8 0xc3fd890709833d37, 0xf6eeb177472cedae
-data8 0x9ba60e6a5ca133b6, 0xc41ae295f7e7fa06
-data8 0xf713abf4cb0b3afb, 0x9bc919ea66a151a4
-data8 0xc44709f7bb8a4dd2, 0xf74b4d5333684ef1
-data8 0x9be0887c09ef82bb, 0xc4648fb0e0bec4c1
-data8 0xf7707f75a72f8e94, 0x9c03c8d5fffc3503
-data8 0xc490f9a94695ba14, 0xf7a874b97927af44
-data8 0x9c1b5ad21a81cbb9, 0xc4aeac0173b7d390
-data8 0xf7cddf140aedf1d8, 0x9c3ed09216e9ca02
-data8 0xc4db5941007aa853, 0xf806291bacb7f7a9
-data8 0x9c568656c0423def, 0xc4f938aec206291a
-data8 0xf82bcc43b92eafef, 0x9c7a320af242ce60
-data8 0xc52629e899dfd622, 0xf8646bf0defb759e
-data8 0x9c920bf7a8c01dc2, 0xc54436e44043b965
-data8 0xf88a487dfc3ff5f7, 0x9ca9f475d98b159c
-data8 0xc562563abf9ea07f, 0xf8b03c2b46cdc17f
-data8 0x9ccdeca60e80b5f8, 0xc58fa7d1dc42921c
-data8 0xf8e95541c152ae7a, 0x9ce5f9d4653d4902
-data8 0xc5adf561b91e110a, 0xf90f832c2700c160
-data8 0x9cfe15cb38bfdd8e, 0xc5cc5591bdbd82fa
-data8 0xf935c88e0c7f419b, 0x9d225b983f6c1f96
-data8 0xc5fa08f1ff20593c, 0xf96f5cd84fd86873
-data8 0x9d3a9cca32261ed7, 0xc618980a79ce6862
-data8 0xf995dd53ebdd9d6d, 0x9d52ecfccebe1768
-data8 0xc6373a09e34b50fa, 0xf9bc75a034436a41
-data8 0x9d77818d95b82f86, 0xc66550a6e0baaf35
-data8 0xf9f686f26d5518de, 0x9d8ff7893fa4706c
-data8 0xc6842241926342c9, 0xfa1d5b39b910a8c5
-data8 0x9da87cbef36f2a5e, 0xc6a3070b7c93bb9e
-data8 0xfa4447acc4ecbfd2, 0x9dcd6140b4a35aeb
-data8 0xc6d18260bb84081b, 0xfa7ed7e51e6fdfb4
-data8 0x9de60cd06dc6e2d4, 0xc6f0977c9416828b
-data8 0xfaa601394d49a1a0, 0x9dfec7d4cc43b76f
-data8 0xc70fc0117c641630, 0xfacd431644ce0e40
-data8 0x9e17925ec9fccc4a, 0xc72efc34d7e615be
-data8 0xfaf49d96f7a75909, 0x9e3cdf6db57dc075
-data8 0xc75dfb441594141e, 0xfb2fd3c65e562fd5
-data8 0x9e55d110b63637a8, 0xc77d68aa019bda4c
-data8 0xfb576c5762024805, 0x9e6ed27594550d2e
-data8 0xc79ce9ea478dbc4f, 0xfb7f1debc22c4040
-data8 0x9e87e3adc385d393, 0xc7bc7f1ae453219d
-data8 0xfba6e89f32d0190a, 0x9ead9b54b37a1055
-data8 0xc7ec0476e15e141a, 0xfbe2c803a0894893
-data8 0x9ec6d46a3d7de215, 0xc80bcbe16f1d540f
-data8 0xfc0ad1ff0ed9ecf0, 0x9ee01d9108be3154
-data8 0xc82ba78a5d349735, 0xfc32f57bdfbcbe7f
-data8 0x9ef976db07288d04, 0xc84b978847a06b87
-data8 0xfc5b32968f99b21c, 0x9f12e05a4759ec25
-data8 0xc86b9bf1ee817bc6, 0xfc83896bc861ab08
-data8 0x9f2c5a20f4da6668, 0xc88bb4de3667cdf4
-data8 0xfcabfa1861ed4815, 0x9f52af78ed1733ca
-data8 0xc8bc00e7fe9e23a3, 0xfce8d3cea7d3163e
-data8 0x9f6c52426a39d003, 0xc8dc4d7ff2d25232
-data8 0xfd118595143ee273, 0x9f860593d42fd7f3
-data8 0xc8fcaeebcb40eb47, 0xfd3a519943d4865a
-data8 0x9f9fc97fdb96bd51, 0xc91d25431426a663
-data8 0xfd6337f8e1ae5a4b, 0x9fb99e194f4a7037
-data8 0xc93db09d7fdb2949, 0xfd8c38d1c8e927eb
-data8 0x9fd383731ca51db9, 0xc95e5112e721582a
-data8 0xfdb5544205095a53, 0x9fed79a04fbf9423
-data8 0xc97f06bb49787677, 0xfdde8a67d2613531
-data8 0xa00780b413b24ee8, 0xc99fd1aecd6e1b06
-data8 0xfe07db619e781611, 0xa02eab2c4474b0cd
-data8 0xc9d12a3e27bb1625, 0xfe460768d80bf758
-data8 0xa048dcd51ccfd142, 0xc9f22ad82ba3d5f0
-data8 0xfe6f9bfb06cd32f6, 0xa0631fa894b11b8d
-data8 0xca134113105e67b2, 0xfe994bcd3d14fcc2
-data8 0xa07d73ba65e680af, 0xca346d07b045a876
-data8 0xfec316fecaf3f2ab, 0xa097d91e6aaf71b0
-data8 0xca55aecf0e94bb88, 0xfeecfdaf33fadb80
-data8 0xa0b24fe89e02602f, 0xca77068257be9bab
-data8 0xff16fffe2fa8fad6, 0xa0ccd82d1bd2f68b
-data8 0xca98743ae1c693a8, 0xff411e0ba9db886d
-data8 0xa0e77200215909e6, 0xcab9f8122c99a101
-data8 0xff6b57f7c33e4e9a, 0xa1021d760d584855
-data8 0xcadb9221e268c3b5, 0xff95ade2d1bd7358
-data8 0xa11cdaa36068a57d, 0xcafd4283d8043dfd
-data8 0xffc01fed60f86fb5, 0xa137a99cbd3f880b
-data8 0xcb1f09520d37c6fb, 0xffeaae3832b63956
-ASM_SIZE_DIRECTIVE(T_table)
-
-
-
-
-
-
-.align 32
-.global cbrtf#
+LOCAL_OBJECT_START(poly_coeffs)
+
+       data8 0xaaaab19b7e1f5ef9, 0x00003ffd // ~ 1/3
+       data8 0xe38e5192a5a8e56c, 0x00003ffb // ~ 1/9
+LOCAL_OBJECT_END(poly_coeffs)
+
+//   For every entry B in the frcpa table, this table contains
+// the significands of cbrt(1/B), cbrt(2/B), cbrt(4/B).
+// The index to this table is the same as the frcpa index.
+
+LOCAL_OBJECT_START(T_table)
+
+       data8 0x80155c748c374836, 0xa160019ed37fb4ae
+       data8 0xcb51ddcb9e93095e, 0x8040404b0879f7f9
+       data8 0xa1960b5966da4608, 0xcb95f333968ad59b
+       data8 0x806b5dce4b405c10, 0xa1cc5dbe6dc2aab4
+       data8 0xcbda64292d3ffd97, 0x8096b586974669b1
+       data8 0xa202f97995b69c0d, 0xcc1f3184af961596
+       data8 0x80bcd273d952a028, 0xa232fe6eb0c0577d
+       data8 0xcc5bb1ac954d33e2, 0x80e898c52813f2f3
+       data8 0xa26a2582012f6e17, 0xcca12e9831fc6402
+       data8 0x81149add67c2d208, 0xa2a197e5d10465cb
+       data8 0xcce70a67b64f24ad, 0x813b4e2c856b6e9a
+       data8 0xa2d25a532efefbc8, 0xcd24794726477ea5
+       data8 0x8167c1dde03de7aa, 0xa30a5bd6e49e4ab8
+       data8 0xcd6b096a0b70ee87, 0x818ed973b811135e
+       data8 0xa33b9c9b59879e24, 0xcda9177738b15a90
+       data8 0x81bbc0c33e13ec98, 0xa3742fca6a3c1f21
+       data8 0xcdf05f2247dffab9, 0x81e33e69fbe7504a
+       data8 0xa3a5f1273887bf22, 0xce2f0f347f96f906
+       data8 0x820aec524e3c23e9, 0xa3d7ef508ff11574
+       data8 0xce6e0be0cd551a61, 0x823880f78e70b805
+       data8 0xa4115ce30548bc15, 0xceb666b2c347d1de
+       data8 0x826097a62a8e5200, 0xa443df0e53df577a
+       data8 0xcef609b0cb874f00, 0x8288dfe00e9b5eaf
+       data8 0xa4769fa5913c0ec3, 0xcf35fb5447e5c765
+       data8 0x82b15a10c5371624, 0xa4a99f303bc7def5
+       data8 0xcf763c47ee869f00, 0x82da06a527b18937
+       data8 0xa4dcde37779adf4b, 0xcfb6cd3888d71785
+       data8 0x8302e60b635ab394, 0xa5105d46152c938a
+       data8 0xcff7aed4fbfbb447, 0x832bf8b2feec2f0e
+       data8 0xa5441ce89825cb8d, 0xd038e1ce5167e3c6
+       data8 0x83553f0ce00e276b, 0xa5781dad3e54d899
+       data8 0xd07a66d7bfa0ebba, 0x837eb98b50f8322a
+       data8 0xa5ac602406c4e68c, 0xd0bc3ea6b32d1b21
+       data8 0x83a270f44c84f699, 0xa5d9601d95c2c0bc
+       data8 0xd0f4f0e8f36c1bf8, 0x83cc4d7cfcfac5ca
+       data8 0xa60e1e1a2de14745, 0xd1376458e34b037e
+       data8 0x83f65f78a8872b4c, 0xa6431f6e3fbd9658
+       data8 0xd17a2ca133f78572, 0x8420a75f2f7b53c8
+       data8 0xa67864b0d432fda4, 0xd1bd4a80301c5715
+       data8 0x844510461ff14209, 0xa6a6444aa0243c0b
+       data8 0xd1f71682b2fa4575, 0x846fbd91b930bed2
+       data8 0xa6dc094d10f25792, 0xd23ad555f773f059
+       data8 0x84947e18234f3294, 0xa70a574cc02bba69
+       data8 0xd2752c7039a5bf73, 0x84bf92755825045a
+       data8 0xa7409e2af9549084, 0xd2b98ee008c06b59
+       data8 0x84e4ac0ee112ba51, 0xa76f5c64ca2cf13b
+       data8 0xd2f4735ffd700280, 0x8509ef44b86f20be
+       data8 0xa79e4f0babab5dc0, 0xd32f99ed6d9ac0e1
+       data8 0x85359d5d91768427, 0xa7d5579ae5164b85
+       data8 0xd374f0666c75d51c, 0x855b3bd5b7384357
+       data8 0xa804bd3c6fe61cc8, 0xd3b0a7d13618e4a1
+       data8 0x858104f0c415f79a, 0xa8345895e5250a5a
+       data8 0xd3eca2ea53bcec0c, 0x85a6f90390d29864
+       data8 0xa8642a122b44ef0b, 0xd428e23874f13a17
+       data8 0x85d3772fcd56a1dd, 0xa89c38ca18f6108b
+       data8 0xd46f82fe293bc6d3, 0x85f9c982fcc002f3
+       data8 0xa8cc81063b6e87ca, 0xd4ac57e9b7186420
+       data8 0x862047e0e7ea554b, 0xa8fd00bfa409285e
+       data8 0xd4e972becb04e8b8, 0x8646f2a26f7f5852
+       data8 0xa92db8664d5516da, 0xd526d40a7a9b43a3
+       data8 0x866dca21754096b5, 0xa95ea86b75cc2c20
+       data8 0xd5647c5b73917370, 0x8694ceb8dfd17a37
+       data8 0xa98fd141a4992deb, 0xd5a26c4201bd6d13
+       data8 0x86bc00c49e9307e8, 0xa9c1335cae7446ba
+       data8 0xd5e0a45015350a7e, 0x86dccd74fce79610
+       data8 0xa9ea8686f556f645, 0xd614b539c6194104
+       data8 0x870453c845acf90f, 0xaa1c52d17906bb19
+       data8 0xd6537310e224283f, 0x872c089a1e90342c
+       data8 0xaa4e59b046dab887, 0xd6927ab62244c917
+       data8 0x8753ec4a92d16c5e, 0xaa809b9c60d1890b
+       data8 0xd6d1ccc1fc4ef4b7, 0x877bff3aca19f6b4
+       data8 0xaab319102f3f9b33, 0xd71169cea98fdded
+       data8 0x879d88b6fe1c324c, 0xaadd5a18c1e21274
+       data8 0xd746a66a5bc9f6d9, 0x87c5f346dbf98c3a
+       data8 0xab1045f2ac31bdf5, 0xd786ce8f0fae5317
+       data8 0x87e7c653efacef2c, 0xab3ae3ab2df7231e
+       data8 0xd7bc7ff214c4e75a, 0x881089d4e73ffefc
+       data8 0xab6e3f945d1e96fc, 0xd7fd35467a517ed1
+       data8 0x88397e6a366f2a8a, 0xaba1d953a08fa94e
+       data8 0xd83e38838648d815, 0x885bc559e5e1c081
+       data8 0xabcd090db7ef4c3f, 0xd874a1db598b8951
+       data8 0x887e2ee392bb7a93, 0xabf864602d7c323d
+       data8 0xd8ab42205b80edaf, 0x88a7a8587e404257
+       data8 0xac2ca5886ccf9b57, 0xd8ed1849d202f965
+       data8 0x88ca5eda67594784, 0xac5861d4aa441f0f
+       data8 0xd92432bd5a173685, 0x88f4356166bd590e
+       data8 0xac8d183fe3a2fbed, 0xd9669ca45b03c23e
+       data8 0x89173a0acf5ce026, 0xacb93703ff51571e
+       data8 0xd99e3327cf89574e, 0x893a62a098b6a57b
+       data8 0xace5830ad0c3f14b, 0xd9d602b19b100466
+       data8 0x895daf637236ae2c, 0xad11fca5d78b3ff2
+       data8 0xda0e0ba86c096841, 0x89883b9d1c2fa9c5
+       data8 0xad4797fddf91a798, 0xda5195fcdb1c3dce
+       data8 0x89abd8dd374a5d7b, 0xad747701e559ebcb
+       data8 0xda8a1eb87a491f6c, 0x89cf9b1dcd197fa0
+       data8 0xada184a47e9c7613, 0xdac2e230b91c3f84
+       data8 0x89f382a258ea79de, 0xadcec13ab0dda8ff
+       data8 0xdafbe0d0b66aea30, 0x8a178faf06648f29
+       data8 0xadfc2d1a5fd21ba8, 0xdb351b04a8fafced
+       data8 0x8a3bc288b3e1d18a, 0xae29c89a5053c33a
+       data8 0xdb6e9139e33cdd8e, 0x8a601b74f4d1f835
+       data8 0xae5794122b638df9, 0xdba843ded7151ea1
+       data8 0x8a849aba14274764, 0xae858fda8137ae0a
+       data8 0xdbe2336319b61fc8, 0x8aa9409f16cdbc9b
+       data8 0xaeb3bc4ccc56d3d1, 0xdc1c60376789fa68
+       data8 0x8ace0d6bbe2cb316, 0xaee219c374c09920
+       data8 0xdc56cacda82d0cd5, 0x8af301688ab33558
+       data8 0xaf10a899d3235fe7, 0xdc917398f2797814
+       data8 0x8b181cdebe6f3206, 0xaf3f692c341fe8b4
+       data8 0xdccc5b0d90a3e628, 0x8b3d60185fafcb7c
+       data8 0xaf6e5bd7db9ae6c2, 0xdd0781a10469f0f2
+       data8 0x8b62cb603bb2fad0, 0xaf9d80fb081cd91b
+       data8 0xdd42e7ca0b52838f, 0x8b80d7d6bc4104de
+       data8 0xafc35ce063eb3787, 0xdd729ad01c69114d
+       data8 0x8ba68bf73ac74f39, 0xaff2ddcb5f28f03d
+       data8 0xddae749c001fbf5e, 0x8bcc68fb9f9f7335
+       data8 0xb022923b148e05c5, 0xddea8f50a51c69b1
+       data8 0x8bf26f31c534fca2, 0xb0527a919adbf58b
+       data8 0xde26eb69a0f0f111, 0x8c10f86e13a1a1f9
+       data8 0xb078f3ab1d701c65, 0xde576480262399bc
+       data8 0x8c3749916cc6abb5, 0xb0a93a6870649f31
+       data8 0xde943789645933c8, 0x8c5dc4c4f7706032
+       data8 0xb0d9b624d62ec856, 0xded14d58139a28af
+       data8 0x8c7cac3a8c42e3e0, 0xb100a5f53fb3c8e1
+       data8 0xdf025c00bbf2b5c7, 0x8ca373f1b7bf2716
+       data8 0xb131821882f5540a, 0xdf3feb44d723a713
+       data8 0x8cc29907fb951294, 0xb158bf8e4cb04055
+       data8 0xdf715bc16c159be0, 0x8ce9ae4e9492aac8
+       data8 0xb189fd69d56b238f, 0xdfaf66240e29cda8
+       data8 0x8d0911dddbfdad0e, 0xb1b189958e8108e4
+       data8 0xdfe139cbf6e19bdc, 0x8d3075c4f20f04ee
+       data8 0xb1e32a8165b09832, 0xe01fc0fe94d9fc52
+       data8 0x8d5018a9d4de77d5, 0xb20b0678fc271eec
+       data8 0xe051f92ffcc0bd60, 0x8d77cc47dd143515
+       data8 0xb23d0bd3f7592b6e, 0xe090feec9c9a06ac
+       data8 0x8d97af6352739cb7, 0xb26538b2db8420dc
+       data8 0xe0c39d0c9ff862d6, 0x8db7af523167800f
+       data8 0xb28d89e339ceca14, 0xe0f668eeb99f188d
+       data8 0x8ddfd80bc68c32ff, 0xb2c022ca12e55a16
+       data8 0xe1362890eb663139, 0x8e00197e1e7c88fe
+       data8 0xb2e8c6852c6b03f1, 0xe1695c7212aecbaa
+       data8 0x8e207859f77e20e7, 0xb3118f4eda9fe40f
+       data8 0xe19cbf0391bbbbe9, 0x8e40f4ce60c9f8e2
+       data8 0xb33a7d6268109ebe, 0xe1d050901c531e85
+       data8 0x8e69ba46cf2fde4d, 0xb36ddbc5ea70ec55
+       data8 0xe2110903b4f4047a, 0x8e8a7a00bd7ae63e
+       data8 0xb3971e9b39264023, 0xe2450559b4d80b6d
+       data8 0x8eab57ef1cf2f529, 0xb3c0877ecc18e24a
+       data8 0xe27931a231554ef3, 0x8ecc5442cffb1dad
+       data8 0xb3ea16ae3a6c905f, 0xe2ad8e2ac3c5b04b
+       data8 0x8eed6f2d2a4acbfe, 0xb413cc67aa0e4d2d
+       data8 0xe2e21b41b9694cce, 0x8f0ea8dff24441ff
+       data8 0xb43da8e9d163e1af, 0xe316d93615862714
+       data8 0x8f385c95d696b817, 0xb47233773b84d425
+       data8 0xe3590bd86a0d30f9, 0x8f59dc43edd930f3
+       data8 0xb49c6825430fe730, 0xe38e38e38e38e38e
+       data8 0x8f7b7b5f5ffad1c4, 0xb4c6c46bcdb27dcf
+       data8 0xe3c397d1e6db7839, 0x8f9d3a1bea165f38
+       data8 0xb4f1488c0b35d26f, 0xe3f928f5953feb9e
+       data8 0x8fbf18adc34b66da, 0xb51bf4c7c51f0168
+       data8 0xe42eeca17c62886c, 0x8fe117499e356095
+       data8 0xb546c9616087ab9c, 0xe464e32943446305
+       data8 0x90033624aa685f8d, 0xb571c69bdffd9a70
+       data8 0xe49b0ce15747a8a2, 0x9025757495f36b86
+       data8 0xb59cecbae56984c3, 0xe4d16a1eee94e9d4
+       data8 0x903f3a5dcc091203, 0xb5bd64512bb14bb7
+       data8 0xe4fa52107353f67d, 0x9061b2fceb2bdbab
+       data8 0xb5e8d2a4bf5ba416, 0xe5310a471f4d2dc3
+       data8 0x90844ca7211032a7, 0xb6146a9a1bc47819
+       data8 0xe567f6f1c2b9c224, 0x90a7079403e6a15d
+       data8 0xb6402c7749d621c0, 0xe59f18689a9e4c9a
+       data8 0x90c9e3fbafd63799, 0xb66c1882fb435ea2
+       data8 0xe5d66f04b8a68ecf, 0x90ece216c8a16ee4
+       data8 0xb6982f048c999a56, 0xe60dfb2005c192e9
+       data8 0x9110021e7b516f0a, 0xb6c47044075b4142
+       data8 0xe645bd1544c7ea51, 0x912a708a39be9075
+       data8 0xb6e5bd6bfd02bafd, 0xe66fb21b505b20a0
+       data8 0x914dcc7b31146370, 0xb7124a2736ff8ef2
+       data8 0xe6a7d32af4a7c59a, 0x91714af8cfe984d5
+       data8 0xb73f026a01e94177, 0xe6e02b129c6a5ae4
+       data8 0x918c00a6f3795e97, 0xb760a959f1d0a7a7
+       data8 0xe70a9136a7403039, 0x91afbc299ed0295d
+       data8 0xb78dae7e06868ab0, 0xe74349fb2d92a589
+       data8 0x91d39add3e958db0, 0xb7badff8ad9e4e02
+       data8 0xe77c3a9c86ed7d42, 0x91ee9920a8974d92
+       data8 0xb7dce25b8e17ae9f, 0xe7a713f88151518a
+       data8 0x9212b5fcac537c19, 0xb80a6226904045e2
+       data8 0xe7e067453317ed2b, 0x9236f6b256923fcf
+       data8 0xb8380f1cafd73c1c, 0xe819f37a81871bb5
+       data8 0x92523ee6f90dcfc3, 0xb85a6ea8e321b4d8
+       data8 0xe8454236bfaeca14, 0x9276bef031e6eb79
+       data8 0xb8886b684ae7d2fa, 0xe87f32f24c3fc90e
+       data8 0x929236ec237a24ad, 0xb8ab0726fa00cf5d
+       data8 0xe8aacd8688892ba6, 0x92b6f70b7efe9dc3
+       data8 0xb8d954a4d13b7cb1, 0xe8e523fd32f606f7
+       data8 0x92d29f61eec7dc2b, 0xb8fc2d4f6cd9f04a
+       data8 0xe9110b5311407927, 0x92f7a05d5b8ba92f
+       data8 0xb92acc851476b1ab, 0xe94bc8bf0c108fa3
+       data8 0x931379a403be5c16, 0xb94de2d841a184c2
+       data8 0xe977fdc439c2ca3c, 0x9338bc44de2e3f34
+       data8 0xb97cd4c36c92693c, 0xe9b3236528fc349e
+       data8 0x9354c71412c69486, 0xb9a0297f172665e3
+       data8 0xe9dfa70b745ac1b4, 0x937a4c273907e262
+       data8 0xb9cf6f21e36c3924, 0xea1b36268d0eaa38
+       data8 0x93968919f6e7975d, 0xb9f3030951267208
+       data8 0xea480963fd394197, 0x93bc516fdd4680c9
+       data8 0xba229d6a618e7c59, 0xea84034425f27484
+       data8 0x93d8c123d9be59b2, 0xba467144459f9855
+       data8 0xeab12713138dd1cc, 0x93f546c955e60076
+       data8 0xba6a60c3c48f1a4b, 0xeade6db73a5e503b
+       data8 0x941b70a65879079f, 0xba9a76056b67ee7a
+       data8 0xeb1b0268343b121b, 0x943829f337410591
+       data8 0xbabea699563ada6e, 0xeb489b0b2bdb5f14
+       data8 0x9454f995765bc4d2, 0xbae2f350b262cc4b
+       data8 0xeb765721e85f03d0, 0x947b86b57f5842ed
+       data8 0xbb1385a23be24e57, 0xebb389645f222f62
+       data8 0x94988aeb23470f86, 0xbb3814975e17c680
+       data8 0xebe198f090607e0c, 0x94b5a5dc9695f42a
+       data8 0xbb5cc031009bf467, 0xec0fcc9321024509
+       data8 0x94d2d7a9170d8b42, 0xbb81889680024764
+       data8 0xec3e247da8b82f61, 0x94f9e87dd78bf019
+       data8 0xbbb2c0d8703ae95d, 0xec7c27d21321c9f7
+       data8 0x95175019a503d89e, 0xbbd7cd09ba3c5463
+       data8 0xecaad5278824e453, 0x9534cefa625fcb3a
+       data8 0xbbfcf68c4977718f, 0xecd9a76d097d4e77
+       data8 0x955265405c491a25, 0xbc223d88cfc88eee
+       data8 0xed089ed5dcd99446, 0x9570130c1f9bb857
+       data8 0xbc47a2284fee4ff8, 0xed37bb95add09a1c
+       data8 0x9597ca4119525184, 0xbc79ac0916ed7b8a
+       data8 0xed76c70508f904b6, 0x95b5af6fb5aa4d3c
+       data8 0xbc9f5670d1a13030, 0xeda63bb05e7f93c6
+       data8 0x95d3ac9273aafd7a, 0xbcc51f068cb95c1d
+       data8 0xedd5d661daed2dc4, 0x95f1c1cafdfd3684
+       data8 0xbceb05f4b30a9bc0, 0xee05974eef86b903
+       data8 0x960fef3b430b8d5f, 0xbd110b6604c7d306
+       data8 0xee357ead791fc670, 0x962e350575b409c5
+       data8 0xbd372f8598620f19, 0xee658cb3c134a463
+       data8 0x964c934c0dfc1708, 0xbd5d727edb6b3c7e
+       data8 0xee95c1987f080211, 0x966b0a31c9c6bc7d
+       data8 0xbd83d47d937bbc6d, 0xeec61d92d8c4314f
+       data8 0x968999d9ad8d264e, 0xbdaa55addf1ae47d
+       data8 0xeef6a0da64a014ac, 0x96a8426705198795
+       data8 0xbdd0f63c36aa73f0, 0xef274ba72a07c811
+       data8 0x96c703fd64445ee5, 0xbdf7b6556d550a15
+       data8 0xef581e31a2c91260, 0x96e5dec0a7b4268d
+       data8 0xbe1e9626b1ffa96b, 0xef8918b2bc43aec6
+       data8 0x9704d2d4f59f79f3, 0xbe4595dd903e5371
+       data8 0xefba3b63d89d7cbf, 0x9723e05ebe91b9b0
+       data8 0xbe6cb5a7f14bc935, 0xefeb867ecffaa607
+       data8 0x97430782be323831, 0xbe93f5b41d047cf7
+       data8 0xf01cfa3df1b9c9fa, 0x97624865fc0df8bf
+       data8 0xbebb5630bae4c15f, 0xf04e96dc05b43e2d
+       data8 0x9781a32dcc640b2a, 0xbee2d74cd30a430c
+       data8 0xf0805c944d827454, 0x97a117ffd0f48e46
+       data8 0xbf0a7937cf38d981, 0xf0b24ba285c495cb
+       data8 0x97c0a701f9d263c9, 0xbf323c217be2bc8c
+       data8 0xf0e46442e76f6569, 0x97e0505a8637a036
+       data8 0xbf5a203a09342bbb, 0xf116a6b2291d7896
+       data8 0x97f57a9fb0b08c6e, 0xbf74cad1c14ebfc4
+       data8 0xf1383fa9e9b5b381, 0x9815503365914a9d
+       data8 0xbf9ce6a497a89f78, 0xf16ac84f90083b9b
+       data8 0x98354085054fd204, 0xbfc52428bec6e72f
+       data8 0xf19d7b686dcb03d7, 0x98554bbbf8a77902
+       data8 0xbfed838fddab024b, 0xf1d0593311db1757
+       data8 0x987571fffb7f94f6, 0xc016050c0420981a
+       data8 0xf20361ee8f1c711e, 0x9895b3791dd03c23
+       data8 0xc03ea8cfabddc330, 0xf23695da7de51d3f
+       data8 0x98ab43a5fc65d0c8, 0xc059d3cbd65ddbce
+       data8 0xf258d095e465cc35, 0x98cbb2d196bd713d
+       data8 0xc082b122a3c78c9d, 0xf28c4d0bfc982b34
+       data8 0x98ec3d9ec7b6f21a, 0xc0abb1499ae736c4
+       data8 0xf2bff55eb3f0ea71, 0x990ce436db5e8344
+       data8 0xc0d4d474c3aedaaf, 0xf2f3c9cf9884636e
+       data8 0x9922b8218160967a, 0xc0f054ca33eb3437
+       data8 0xf31670135ab9cc0f, 0x99438d686f75779d
+       data8 0xc119b2c67e600ed0, 0xf34a8e9f0b54cdfb
+       data8 0x99647eea131fa20b, 0xc1433453de2033ff
+       data8 0xf37ed9fa6b8add3f, 0x997a85045a47c6d0
+       data8 0xc15ef3e44e10032d, 0xf3a1cfe884ef6bb6
+       data8 0x999ba5f14f8add02, 0xc188b130431d80e6
+       data8 0xf3d66689dcc8e8d3, 0x99bce38b5465ecae
+       data8 0xc1b2929d6067730e, 0xf40b2ab069d5c96a
+       data8 0x99d31ca0887f30f9, 0xc1ce9268f31cc734
+       data8 0xf42e718b90c8bc16, 0x99f48a669c74c09e
+       data8 0xc1f8b0877c1b0c08, 0xf463822a0a3b4b00
+       data8 0x9a16154eb445c873, 0xc222f35a87b415ba
+       data8 0xf498c1076015faf8, 0x9a2c822ec198d667
+       data8 0xc23f3467349e5c88, 0xf4bc5a19a33990b5
+       data8 0x9a4e3e080cd91b78, 0xc269b4e40e088c01
+       data8 0xf4f1e6a7d6f5425f, 0x9a70177afe52322e
+       data8 0xc2945aac24daaf6e, 0xf527a232cf6be334
+       data8 0x9a86b8fa94eebe10, 0xc2b0de05e43c1d66
+       data8 0xf54b8ecdcda90851, 0x9aa8c42866ae2958
+       data8 0xc2dbc275e1229d09, 0xf5819949c7ad87b4
+       data8 0x9abf86f9e12fc45e, 0xc2f86fca9d80eeff
+       data8 0xf5a5bac9213b48a9, 0x9ae1c462fc05f49d
+       data8 0xc323938449a2587e, 0xf5dc1501f324a812
+       data8 0x9af8a8dc936b84d0, 0xc3406b40a538ed20
+       data8 0xf6006bee86b5589e, 0x9b1b19033be35730
+       data8 0xc36bcee8211d15e0, 0xf63716b2fa067fa4
+       data8 0x9b3da7daf04c2892, 0xc397593adf2ba366
+       data8 0xf66df22fb6132b9c, 0x9b54c2e4c8a9012b
+       data8 0xc3b475b6206155d5, 0xf6929fb98225deb1
+       data8 0x9b77854e6c661200, 0xc3e0410243b97383
+       data8 0xf6c9cd13021e3fea, 0x9b8ec2e678d56d2f
+       data8 0xc3fd890709833d37, 0xf6eeb177472cedae
+       data8 0x9ba60e6a5ca133b6, 0xc41ae295f7e7fa06
+       data8 0xf713abf4cb0b3afb, 0x9bc919ea66a151a4
+       data8 0xc44709f7bb8a4dd2, 0xf74b4d5333684ef1
+       data8 0x9be0887c09ef82bb, 0xc4648fb0e0bec4c1
+       data8 0xf7707f75a72f8e94, 0x9c03c8d5fffc3503
+       data8 0xc490f9a94695ba14, 0xf7a874b97927af44
+       data8 0x9c1b5ad21a81cbb9, 0xc4aeac0173b7d390
+       data8 0xf7cddf140aedf1d8, 0x9c3ed09216e9ca02
+       data8 0xc4db5941007aa853, 0xf806291bacb7f7a9
+       data8 0x9c568656c0423def, 0xc4f938aec206291a
+       data8 0xf82bcc43b92eafef, 0x9c7a320af242ce60
+       data8 0xc52629e899dfd622, 0xf8646bf0defb759e
+       data8 0x9c920bf7a8c01dc2, 0xc54436e44043b965
+       data8 0xf88a487dfc3ff5f7, 0x9ca9f475d98b159c
+       data8 0xc562563abf9ea07f, 0xf8b03c2b46cdc17f
+       data8 0x9ccdeca60e80b5f8, 0xc58fa7d1dc42921c
+       data8 0xf8e95541c152ae7a, 0x9ce5f9d4653d4902
+       data8 0xc5adf561b91e110a, 0xf90f832c2700c160
+       data8 0x9cfe15cb38bfdd8e, 0xc5cc5591bdbd82fa
+       data8 0xf935c88e0c7f419b, 0x9d225b983f6c1f96
+       data8 0xc5fa08f1ff20593c, 0xf96f5cd84fd86873
+       data8 0x9d3a9cca32261ed7, 0xc618980a79ce6862
+       data8 0xf995dd53ebdd9d6d, 0x9d52ecfccebe1768
+       data8 0xc6373a09e34b50fa, 0xf9bc75a034436a41
+       data8 0x9d77818d95b82f86, 0xc66550a6e0baaf35
+       data8 0xf9f686f26d5518de, 0x9d8ff7893fa4706c
+       data8 0xc6842241926342c9, 0xfa1d5b39b910a8c5
+       data8 0x9da87cbef36f2a5e, 0xc6a3070b7c93bb9e
+       data8 0xfa4447acc4ecbfd2, 0x9dcd6140b4a35aeb
+       data8 0xc6d18260bb84081b, 0xfa7ed7e51e6fdfb4
+       data8 0x9de60cd06dc6e2d4, 0xc6f0977c9416828b
+       data8 0xfaa601394d49a1a0, 0x9dfec7d4cc43b76f
+       data8 0xc70fc0117c641630, 0xfacd431644ce0e40
+       data8 0x9e17925ec9fccc4a, 0xc72efc34d7e615be
+       data8 0xfaf49d96f7a75909, 0x9e3cdf6db57dc075
+       data8 0xc75dfb441594141e, 0xfb2fd3c65e562fd5
+       data8 0x9e55d110b63637a8, 0xc77d68aa019bda4c
+       data8 0xfb576c5762024805, 0x9e6ed27594550d2e
+       data8 0xc79ce9ea478dbc4f, 0xfb7f1debc22c4040
+       data8 0x9e87e3adc385d393, 0xc7bc7f1ae453219d
+       data8 0xfba6e89f32d0190a, 0x9ead9b54b37a1055
+       data8 0xc7ec0476e15e141a, 0xfbe2c803a0894893
+       data8 0x9ec6d46a3d7de215, 0xc80bcbe16f1d540f
+       data8 0xfc0ad1ff0ed9ecf0, 0x9ee01d9108be3154
+       data8 0xc82ba78a5d349735, 0xfc32f57bdfbcbe7f
+       data8 0x9ef976db07288d04, 0xc84b978847a06b87
+       data8 0xfc5b32968f99b21c, 0x9f12e05a4759ec25
+       data8 0xc86b9bf1ee817bc6, 0xfc83896bc861ab08
+       data8 0x9f2c5a20f4da6668, 0xc88bb4de3667cdf4
+       data8 0xfcabfa1861ed4815, 0x9f52af78ed1733ca
+       data8 0xc8bc00e7fe9e23a3, 0xfce8d3cea7d3163e
+       data8 0x9f6c52426a39d003, 0xc8dc4d7ff2d25232
+       data8 0xfd118595143ee273, 0x9f860593d42fd7f3
+       data8 0xc8fcaeebcb40eb47, 0xfd3a519943d4865a
+       data8 0x9f9fc97fdb96bd51, 0xc91d25431426a663
+       data8 0xfd6337f8e1ae5a4b, 0x9fb99e194f4a7037
+       data8 0xc93db09d7fdb2949, 0xfd8c38d1c8e927eb
+       data8 0x9fd383731ca51db9, 0xc95e5112e721582a
+       data8 0xfdb5544205095a53, 0x9fed79a04fbf9423
+       data8 0xc97f06bb49787677, 0xfdde8a67d2613531
+       data8 0xa00780b413b24ee8, 0xc99fd1aecd6e1b06
+       data8 0xfe07db619e781611, 0xa02eab2c4474b0cd
+       data8 0xc9d12a3e27bb1625, 0xfe460768d80bf758
+       data8 0xa048dcd51ccfd142, 0xc9f22ad82ba3d5f0
+       data8 0xfe6f9bfb06cd32f6, 0xa0631fa894b11b8d
+       data8 0xca134113105e67b2, 0xfe994bcd3d14fcc2
+       data8 0xa07d73ba65e680af, 0xca346d07b045a876
+       data8 0xfec316fecaf3f2ab, 0xa097d91e6aaf71b0
+       data8 0xca55aecf0e94bb88, 0xfeecfdaf33fadb80
+       data8 0xa0b24fe89e02602f, 0xca77068257be9bab
+       data8 0xff16fffe2fa8fad6, 0xa0ccd82d1bd2f68b
+       data8 0xca98743ae1c693a8, 0xff411e0ba9db886d
+       data8 0xa0e77200215909e6, 0xcab9f8122c99a101
+       data8 0xff6b57f7c33e4e9a, 0xa1021d760d584855
+       data8 0xcadb9221e268c3b5, 0xff95ade2d1bd7358
+       data8 0xa11cdaa36068a57d, 0xcafd4283d8043dfd
+       data8 0xffc01fed60f86fb5, 0xa137a99cbd3f880b
+       data8 0xcb1f09520d37c6fb, 0xffeaae3832b63956
+LOCAL_OBJECT_END(T_table)
+
+
+
+
+
+
 
 .section .text
-.proc  cbrtf#
-.align 32
-cbrtf: 
+GLOBAL_LIBM_ENTRY(cbrtf)
 
 
-{ .mfi
-  getf.sig r28=f8
-     // will continue only for normal/denormal numbers          
-(p0)  fclass.nm.unc p12,p7 = f8, 0x1b           
-  // r2 = pointer to C_1,C_2 followed by T_table
-  addl r2 = @ltoff(poly_coeffs), gp
+{.mfi
+       getf.sig GR_SIGNIF = f8
+       // will continue only for normal/denormal numbers
+       fclass.nm.unc p12, p7 = f8, 0x1b
+       // GR_GP = pointer to C_1, C_2 followed by T_table
+       nop.i 0
 }
 {.mfi
-  // r29=bias-((2^8-1)/3) -63=0xffff-0x55-0x3f=0xff6b
-  mov r29=0xff6b    
-  // normalize a
-  fma.s1 f14=f8,f1,f0
-  nop.i 0;;
+       addl GR_GP = @ltoff(poly_coeffs), gp
+       // normalize a
+       fma.s1 FR_ARG = f8, f1, f0
+       // GR_CT3 = bias-((2^8-1)/3) -63 = 0xffff-0x55-0x3f = 0xff6b
+       mov GR_CT3 = 0xff6b ;;
 }
-{.mib
-  nop.m 0
-  (p7) cmp.eq p12,p0=r28,r0
-  nop.b 0;;
+
+{.mmi
+       // get exponent
+       getf.exp GR_ARGEXP = f8
+       // load start address for C_1, C_2 followed by T_table
+       ld8 GR_ADDR = [ GR_GP ]
+       nop.i 0 ;;
 }
-{.mfb
-  // load start address for C_1,C_2 followed by T_table
-  ld8 r2=[r2]
-  (p12) fma.s.s0 f8=f8,f1,f0
-  (p12) br.ret.spnt b0;;
+
+{.mlx
+       // check if input significand is 0
+ (p7)  cmp.eq p12, p7 = GR_SIGNIF, r0
+       // GR_2P63 = 2^63
+       movl GR_2P63 = 0x8000000000000000 ;;
+}
+
+{.mfi
+       nop.m 0
+       // y = frcpa(a)
+       // p7 = 1 for normal and denormal (but non-zero) arguments
+ (p7)  frcpa.s0 FR_Y, p0 = f1, f8
+       // p9 = 1 if denormal input
+       cmp.gtu p9, p0 = GR_2P63, GR_SIGNIF
 }
-{.mmf 
-  // load C_1
-  ldfe f7=[r2],16
-  nop.m 0
-  // y=frcpa(a)
-  frcpa.s0 f8,p6=f1,f8;;
+{.mfb
+       // load C_1
+       ldfe FR_COEFF1 = [ GR_ADDR ], 16
+       // if argument is 0, +/-Infinity, or NaN, return
+ (p12) fma.s.s0 f8 = f8, f1, f0
+ (p12) br.ret.spnt b0 ;;
 }
+
 {.mmi
-  // load C_2
-  ldfe f9=[r2],16
-  // r28=bias-(2^8-1)
-  mov r28=0xff00
-  nop.i 0;;
+       // get normalized significand (for denormal inputs only)
+ (p9)  getf.sig GR_SIGNIF = FR_ARG
+       // load C_2
+       ldfe FR_COEFF2 = [ GR_ADDR ], 16
+       // GR_CT2 = bias-(2^8-1)
+       mov GR_CT2 = 0xff00
 }
-{.mmi
-  // get normalized significand
-  getf.sig r23=f14
-  // get exponent
-  getf.exp r24=f14
-  mov r25=0x20000;;
+
+{.mii
+       // get exponent (for denormal inputs only)
+ (p9)  getf.exp GR_ARGEXP = FR_ARG
+       nop.i 0
+       mov GR_CONST = 0x20000 ;;
 }
+
+
 {.mii
-  // get r26=sign
-  and r26=r24,r25
-  // eliminate leading 1 from r23=1st table index
-  shl r23=r23,1
-  // eliminate sign from exponent (r25)
-  andcm r25=r24,r25;;
+       // get GR_SIGN = sign
+       and GR_SIGN = GR_ARGEXP, GR_CONST
+       // eliminate leading 1 from GR_I1 = 1st table index
+       shl GR_I1 = GR_SIGNIF, 1
+       // eliminate sign from exponent
+       andcm GR_EBIAS = GR_ARGEXP, GR_CONST ;;
 }
+
+
 {.mfi
-  // subtract bias from r25=exponent
-  sub r25=r25,r28
-  // r=1-a*y
-  (p6) fnma.s1 f6=f8,f14,f1
-  // r23=1st table index (y_index8 bits)
-  shr.u r23=r23,56;;
+       // subtract bias from GR_EXP = exponent
+       sub GR_EXP = GR_EBIAS, GR_CT2
+       // r = 1-a*y
+       fnma.s1 FR_R = FR_Y, FR_ARG, f1
+       // GR_IT1 = 1st table index (y_index8 bits)
+       shr.u GR_IT1 = GR_I1, 56 ;;
 }
+
+
 {.mii
-  // 1: exponent*=5;  // (2^{16}-1)/3=0x5555
-  shladd r24=r25,2,r25
-  // r23=3*y_index
-  shladd r23=r23,1,r23;;
-  // r30=(5*expon)*16+5*expon=(0x55)*expon
-  shladd r30=r24,4,r24;;
+       // 1: exponent* = 5; // (2^{16}-1)/3 = 0x5555
+       shladd GR_E5 = GR_EXP, 2, GR_EXP
+       // GR_IT1_3 = 3*y_index
+       shladd GR_IT1_3 = GR_IT1, 1, GR_IT1
+       nop.i 0 ;;
 }
+
+
+{.mmi
+       // GR_TMP5 = (5*expon)*16+5*expon = (0x55)*expon
+       shladd GR_TMP5 = GR_E5, 4, GR_E5
+       // adjust T_table pointer by 1st index
+       shladd GR_TP1 = GR_IT1_3, 3, GR_ADDR
+       nop.i 0 ;;
+}
+
+
 {.mmi
-  // adjust T_table pointer by 1st index
-  shladd r2=r23,3,r2;;
-  // f10=T[0][y]
-  (p6) ldf8 f10=[r2],8
-  // r24=(0x5500)*expon
-  shl r24=r30,8;;
+       // FR_T0 = T [ 0 ] [ y ]
+       ldf8 FR_T0 = [ GR_TP1 ], 8
+       // get 2^{-63}
+       mov GR_TMP63 = 0xffff + 63
+       // GR_TMP = (0x5500)*expon
+       shl GR_TMP = GR_TMP5, 8 ;;
 }
+
+
 {.mfi
-  // f11=T[1][y]
-  (p6) ldf8 f11=[r2],8
-  // P_1=C_1+C_2*r
-  (p6) fma.s1 f7=f9,f6,f7
-  // r24=(0x5555)*expon
-  add r24=r24,r30;;
+       // FR_T1 = T [ 1 ] [ y ]
+       ldf8 FR_T1 = [ GR_TP1 ], 8
+       // P_1 = C_1+C_2*r
+       fma.s1 FR_COEFF1 = FR_COEFF2, FR_R, FR_COEFF1
+       // GR_TMP2 = (0x5555)*expon
+       add GR_TMP2 = GR_TMP, GR_TMP5 ;;
 }
+
+
 {.mmi
-  // r24=(0x5556)*expon  // 0x5556=(2^{16}+2)/3
-  add r24=r24,r25;;
-  // f8=T[2][y]
-  (p6) ldf8 f8=[r2]
-  // r24=floor(expon/3)
-  shr r24=r24,16;;
+       // GR_TMP3 = (0x5556)*expon // 0x5556 = (2^{16}+2)/3
+       add GR_TMP3 = GR_TMP2, GR_EXP ;;
+       // FR_T2 = T [ 2 ] [ y ]
+       ldf8 FR_T2 = [ GR_TP1 ]
+       // GR_EXP3 = floor(expon/3)
+       shr GR_EXP3 = GR_TMP3, 16 ;;
 }
+
+
 {.mmi
-  nop.m 0
-  // r28=3*exponent
-  shladd r28=r24,1,r24
-  // bias exponent
-  add r24=r29,r24;;
+       setf.exp FR_2M63 = GR_TMP63
+       // GR_TMP4 = 3*exponent
+       shladd GR_TMP4 = GR_EXP3, 1, GR_EXP3
+       // bias exponent
+       add GR_EBIAS3 = GR_CT3, GR_EXP3 ;;
+}
+
+
+{.mmf
+       // get remainder of exponent/3
+       sub GR_REM = GR_EXP, GR_TMP4
+       // add sign to exponent
+       or GR_SEXP = GR_EBIAS3, GR_SIGN
+       // P_2 = -r*P_1
+       fnma.s1 FR_R = FR_COEFF1, FR_R, f0 ;;
 }
+
+
+
 {.mmi
-  // get remainder of exponent/3
-  sub r25=r25,r28
-  // add sign to exponent
-  or r24=r24,r26
-  nop.i 0;;
-}  
-{.mfi
-  nop.m 0
-  // P_2=-r*P_1
-  (p6) fnma.s1 f6=f7,f6,f0
-  // remainder=0 ?
-  (p6) cmp.eq.unc p7,p8=r0,r25;;
+       // FR_ARG = sign*2^{exponent/3}
+       setf.exp FR_ARG = GR_SEXP
+       nop.m 0
+       // remainder = 0 ?
+       // p7=1 if input exponent is 3*j (remainder is 0)
+       cmp.eq.unc p7, p8 = r0, GR_REM ;;
 }
+
+
 {.mfi
-  // f14=sign*2^{exponent/3}
-  (p6) setf.exp f14=r24
-  nop.f 0
-  // remainder = 1 ?
-  (p8) cmp.eq.unc p8,p12=1,r25;;
+       // remainder = 1 ?
+       // p8=1 if input exponent is 3*j+1 (remainder is 1)
+       // p12=1 if input exponent is 3*j+2 (remainder is 2)
+  (p8) cmp.eq.unc p8, p12 = 1, GR_REM
+       // p7=1 -> remainder = 0 -> use T = FR_T0
+  (p7)  fma.s1 f8 = FR_T0, FR_R, FR_T0
+       // argument is of the form 2^(3*k) ?
+       // ( GR_I1 holds significand bits, without the leading 1)
+       or GR_I1 = GR_I1, GR_REM ;;
 }
-.pred.rel "mutex",p7,p8
+
+
+.pred.rel "mutex", p12, p8
 {.mfi
-  nop.m 0
-  // remainder=0 -> use T=f10
-  (p7) fma.s1 f8=f10,f6,f10
-  nop.i 0
+       nop.m 0
+       // p8=1 -> remainder = 1 -> use FR_T1
+  (p8) fma.s1 f8 = FR_T1, FR_R, FR_T1
+       // argument is of the form 2^(3*k) ?
+       cmp.eq p14, p7 = GR_I1, r0
 }
+
+
 {.mfi
-  nop.m 0
-  // remainder =1 -> use f11
-  (p8) fma.s1 f8=f11,f6,f11
-  nop.i 0;;
+       nop.m 0
+       // p12=1 -> remainder=2 -> result = T+T*P_2
+ (p12) fma.s1 f8 = FR_T2, FR_R, FR_T2
+       nop.i 0 ;;
 }
+
+
+.pred.rel "mutex", p14, p7
 {.mfi
-  nop.m 0
-  // result=T+T*P_2
-  (p12) fma.s.s0 f8=f8,f6,f8
-  nop.i 0;;
+       nop.m 0
+       // if argument is sgn*2^{3*(expon/3)}
+ (p14) fma.s.s0 f8 = FR_2M63, FR_ARG, f0
+       nop.i 0
 }
 {.mfb
-  nop.m 0
-  // T*=sgn*2^{expon/3}
-  (p6) fma.s.s0 f8=f8,f14,f0
-  br.ret.sptk b0;;
+       nop.m 0
+       // T* = sgn*2^{expon/3}
+  (p7) fma.s.s0 f8 = f8, FR_ARG, f0
+       br.ret.sptk b0 ;;
 }
-.endp cbrtf
-ASM_SIZE_DIRECTIVE(cbrtf)
+
+
+GLOBAL_LIBM_END(cbrtf)
+
+
+
diff --git a/sysdeps/ia64/fpu/s_cbrtl.S b/sysdeps/ia64/fpu/s_cbrtl.S
index d4bbf8fdbf..3e621e2c12 100644
--- a/sysdeps/ia64/fpu/s_cbrtl.S
+++ b/sysdeps/ia64/fpu/s_cbrtl.S
@@ -1,11 +1,10 @@
-.file "cbrtl.asm"
+.file "cbrtl.s"
 
-// Copyright (C) 2000, 2001, Intel Corporation
+
+// Copyright (c) 2000 - 2003, Intel Corporation
 // All rights reserved.
-// 
-// Contributed 2/2/2000 by John Harrison, Cristina Iordache, Ted Kubaska, 
-// Bob Norin, Shane Story, and Ping Tak Peter Tang 
-// of the Computational Software Lab, Intel Corporation.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
 //
 // Redistribution and use in source and binary forms, with or without
 // modification, are permitted provided that the following conditions are
@@ -21,7 +20,7 @@
 // * The name of Intel Corporation may not be used to endorse or promote
 // products derived from this software without specific prior written
 // permission.
-//
+
 // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
 // "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
@@ -36,11 +35,13 @@
 // 
 // Intel Corporation is the author of this code, and requests that all
 // problem reports or change requests be submitted to it directly at 
-// http://developer.intel.com/opensource.
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
 //
 // History
 //==============================================================
-// 4/28/00: Initial version 
+// 04/28/00 Initial version 
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 02/06/03 Reordered header: .section, .global, .proc, .align
 //
 // API
 //==============================================================
@@ -95,29 +96,26 @@
 //   r2-r3, r23-r30
 //   p6,p7,p12
 
-#include "libm_support.h"
+
 
 // Data tables
 //==============================================================
 
-#ifdef _LIBC
-.rodata
-#else
-.data
-#endif
+RODATA
 
 .align 16
 
-poly_coeffs:
-ASM_TYPE_DIRECTIVE(poly_coeffs,@object)
+LOCAL_OBJECT_START(poly_coeffs)
+
 data8 0xaaaaaaaaaaaaaab1, 0x00003ffd // C_1
 data8 0xe38e38e38e38e3e0, 0x00003ffb // C_2
 data8 0x3faf9add3c0be9a6, 0x3fa511e8d2b1f749 // C_3, C_4
 data8 0x3f9ee71b2c6ebe99, 0x3f9809180fd0340c // C_5, C_6
-ASM_SIZE_DIRECTIVE(poly_coeffs)
+LOCAL_OBJECT_END(poly_coeffs)
+
+
+LOCAL_OBJECT_START(T_table)
 
-T_table:
-ASM_TYPE_DIRECTIVE(T_table,@object)
 
 data8 0x80155c748c374836, 0x8040404b0879f7f9
 data8 0x806b5dce4b405c10, 0x8096b586974669b1
@@ -503,14 +501,15 @@ data8 0xfec316fecaf3f2ab, 0xfeecfdaf33fadb80
 data8 0xff16fffe2fa8fad6, 0xff411e0ba9db886d
 data8 0xff6b57f7c33e4e9a, 0xff95ade2d1bd7358
 data8 0xffc01fed60f86fb5, 0xffeaae3832b63956
-ASM_SIZE_DIRECTIVE(T_table)
+LOCAL_OBJECT_END(T_table)
 
 
 
 
 
-D_table:
-ASM_TYPE_DIRECTIVE(D_table,@object)
+
+LOCAL_OBJECT_START(D_table)
+
 data4 0x1e50f488, 0x1ebdc559, 0x1e649ec1, 0x9eed9b2c
 data4 0x9e511c44, 0x9ec6d551, 0x9eefe248, 0x9e313854
 data4 0x9f54ff18, 0x9d231411, 0x1ee5d63c, 0x9edf6b95
@@ -703,25 +702,16 @@ data4 0x9eafd508, 0x9ef0e9fc, 0x1d1307ac, 0x1eecee20
 data4 0x1cf60c6f, 0x9d556216, 0x9eaed175, 0x9ec919f4
 data4 0x1ec2c988, 0x1cd82772, 0x9dc99456, 0x1eab0467
 data4 0x1e89b36f, 0x1c757944, 0x1eef9abd, 0x9e98664d
-ASM_SIZE_DIRECTIVE(D_table)
-
-
+LOCAL_OBJECT_END(D_table)
 
 
-
-.align 32
-.global cbrtl#
-
 .section .text
-.proc  cbrtl#
-.align 32
-cbrtl: 
-
+GLOBAL_LIBM_ENTRY(cbrtl)
 
 { .mfi
   getf.sig r3=f8
      // will continue only for normal/denormal numbers          
-(p0)  fclass.nm.unc p12,p7 = f8, 0x1b           
+      fclass.nm.unc p12,p7 = f8, 0x1b           
   // r2 = pointer to C_1...C_6 followed by T_table
   addl r2 = @ltoff(poly_coeffs), gp;;
 }
@@ -898,5 +888,5 @@ cbrtl:
   (p6) fma.s0 f8=f8,f6,f8
   br.ret.sptk b0;;
 }
-.endp cbrtl
-ASM_SIZE_DIRECTIVE(cbrtl)
+GLOBAL_LIBM_END(cbrtl)
+
diff --git a/sysdeps/ia64/fpu/s_ceil.S b/sysdeps/ia64/fpu/s_ceil.S
index f7e6d2cfa6..d1d2980618 100644
--- a/sysdeps/ia64/fpu/s_ceil.S
+++ b/sysdeps/ia64/fpu/s_ceil.S
@@ -1,10 +1,10 @@
 .file "ceil.s"
 
-// Copyright (C) 2000, 2001, Intel Corporation
+
+// Copyright (c) 2000 - 2003, Intel Corporation
 // All rights reserved.
-// 
-// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story,
-// and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
 //
 // Redistribution and use in source and binary forms, with or without
 // modification, are permitted provided that the following conditions are
@@ -20,90 +20,67 @@
 // * The name of Intel Corporation may not be used to endorse or promote
 // products derived from this software without specific prior written
 // permission.
-//
-// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
-// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
-// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS 
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
 // CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
-// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, 
-// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 
-// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY 
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
 // OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
-// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 
-// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 
-// 
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+//
 // Intel Corporation is the author of this code, and requests that all
-// problem reports or change requests be submitted to it directly at 
-// http://developer.intel.com/opensource.
+// problem reports or change requests be submitted to it directly at
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
 //
-
-#include "libm_support.h"
-
-.align 32
-.global ceil#
-
-.section .text
-.proc  ceil#
-.align 32
-
 // History
 //==============================================================
-// 2/02/00: Initial version
-// 6/13/00: Improved speed
-// 6/27/00: Eliminated incorrect invalid flag setting
+// 02/02/00 Initial version
+// 06/13/00 Improved speed
+// 06/27/00 Eliminated incorrect invalid flag setting
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 01/28/03 Improved performance
+//==============================================================
 
 // API
 //==============================================================
 // double ceil(double x)
+//==============================================================
 
-// general input registers:  
-
-ceil_GR_FFFF      = r14
-ceil_GR_signexp   = r15
-ceil_GR_exponent  = r16
-ceil_GR_expmask   = r17
-ceil_GR_bigexp    = r18
-
-
-// predicate registers used: 
+// general input registers:
+// r14 - r19
 
-// p6  ==> Input is NaN, infinity, zero
-// p7  ==> Input is denormal
-// p8  ==> Input is <0
-// p9  ==> Input is >=0
-// p10 ==> Input is already an integer (bigger than largest integer)
-// p11 ==> Input is not a large integer
-// p12 ==> Input is a smaller integer
-// p13 ==> Input is not an even integer, so inexact must be set
-// p14 ==> Input is between -1 and 0, so result will be -0 and inexact
+rSignexp   = r14
+rExp       = r15
+rExpMask   = r16
+rBigexp    = r17
+rM1        = r18
+rSignexpM1 = r19
 
+// floating-point registers:
+// f8 - f13
 
-// floating-point registers used: 
+fXInt      = f9
+fNormX     = f10
+fTmp       = f11
+fAdj       = f12
+fPreResult = f13
 
-CEIL_SIGNED_ZERO  = f7
-CEIL_NORM_f8      = f9                        
-CEIL_FFFF         = f10 
-CEIL_INEXACT      = f11 
-CEIL_FLOAT_INT_f8 = f12
-CEIL_INT_f8       = f13
-CEIL_adj          = f14
-CEIL_MINUS_ONE    = f15
+// predicate registers used:
+// p6 - p10
 
 // Overview of operation
 //==============================================================
-
 // double ceil(double x)
-// Return an integer value (represented as a double) that is the smallest 
+// Return an integer value (represented as a double) that is the smallest
 // value not less than x
 // This is x rounded toward +infinity to an integral value.
 // Inexact is set if x != ceil(x)
-// **************************************************************************
-
-// Set denormal flag for denormal input and
-// and take denormal fault if necessary.
-
-// Is the input an integer value already?
+//==============================================================
 
 // double_extended
 // if the exponent is > 1003e => 3F(true) = 63(decimal)
@@ -124,139 +101,124 @@ CEIL_MINUS_ONE    = f15
 // If we multiply by 2^23, we no longer have a fractional part
 // So input is an integer value already.
 
-// If x is NAN, ZERO, or INFINITY, then  return
-
-// qnan snan inf norm     unorm 0 -+
-// 1    1    1   0        0     1 11     0xe7
-
 
-ceil:
+.section .text
+GLOBAL_LIBM_ENTRY(ceil)
 
 { .mfi
-      getf.exp ceil_GR_signexp  = f8
-      fcvt.fx.trunc.s1     CEIL_INT_f8  = f8
-      addl        ceil_GR_bigexp = 0x10033, r0
+      getf.exp         rSignexp  = f8        // Get signexp, recompute if unorm
+      fclass.m         p7,p0 = f8, 0x0b      // Test x unorm
+      addl             rBigexp = 0x10033, r0 // Set exponent at which is integer
 }
 { .mfi
-      addl        ceil_GR_FFFF      = -1,r0
-      fcmp.lt.s1  p8,p9 = f8,f0
-      mov         ceil_GR_expmask    = 0x1FFFF ;;
+      mov              rM1 = -1              // Set all ones
+      fcvt.fx.trunc.s1 fXInt  = f8           // Convert to int in significand
+      mov              rExpMask    = 0x1FFFF // Form exponent mask
 }
+;;
 
-// p7 ==> denorm
 { .mfi
-      setf.sig    CEIL_FFFF  = ceil_GR_FFFF
-      fclass.m    p7,p0 = f8, 0x0b
-      nop.i 999
+      mov              rSignexpM1  = 0x2FFFF // Form signexp of -1
+      fcmp.lt.s1       p8,p9 = f8, f0        // Test x < 0
+      nop.i            0
 }
-{ .mfi
-      nop.m 999
-      fnorm           CEIL_NORM_f8  = f8
-      nop.i 999 ;;
+{ .mfb
+      setf.sig         fTmp = rM1            // Make const for setting inexact
+      fnorm.s1         fNormX  = f8          // Normalize input
+(p7)  br.cond.spnt     CEIL_UNORM            // Branch if x unorm
 }
+;;
 
-// Form 0 with sign of input in case negative zero is needed
-{ .mfi
-      nop.m 999
-      fmerge.s           CEIL_SIGNED_ZERO = f8, f0
-      nop.i 999
-}
+CEIL_COMMON:
+// Return here from CEIL_UNORM
 { .mfi
-      nop.m 999
-      fsub.s1           CEIL_MINUS_ONE = f0, f1
-      nop.i 999 ;;
-}
-
-// p6 ==> NAN, INF, ZERO
-{ .mfb
-      nop.m 999
-      fclass.m      p6,p10 = f8, 0xe7
-(p7)  br.cond.spnt  L(CEIL_DENORM) ;;
+      nop.m            0
+      fclass.m         p6,p0 = f8, 0x1e7     // Test x natval, nan, inf, 0
+      nop.i            0
 }
+;;
 
-L(CEIL_COMMON):
 .pred.rel "mutex",p8,p9
-// Set adjustment to add to trunc(x) for result
-//   If x>0,  adjustment is 1.0
-//   If x<=0, adjustment is 0.0
 { .mfi
-      and      ceil_GR_exponent = ceil_GR_signexp, ceil_GR_expmask
-(p9)  fadd.s1  CEIL_adj = f1,f0
-      nop.i 999
+      nop.m            0
+(p8)  fma.s1           fAdj = f0, f0, f0     // If x < 0, adjustment is 0
+      nop.i            0
 }
 { .mfi
-      nop.m 999
-(p8)  fadd.s1  CEIL_adj = f0,f0
-      nop.i 999 ;;
+      nop.m            0
+(p9)  fma.s1           fAdj = f1, f1, f0     // If x > 0, adjustment is +1
+      nop.i            0
 }
+;;
 
 { .mfi
-(p10) cmp.ge.unc    p10,p11 = ceil_GR_exponent, ceil_GR_bigexp
-(p6)  fnorm.d f8 = f8
-      nop.i 999 ;;
+      nop.m            0
+      fcvt.xf          fPreResult = fXInt    // trunc(x)
+      nop.i            0
 }
-
-{ .mfi
-      nop.m 999
-(p11) fcvt.xf         CEIL_FLOAT_INT_f8   = CEIL_INT_f8
-      nop.i 999 ;;
+{ .mfb
+      nop.m            0
+(p6)  fma.d.s0         f8 = f8, f1, f0       // Result if x natval, nan, inf, 0
+(p6)  br.ret.spnt      b0                    // Exit if x natval, nan, inf, 0
 }
+;;
 
-{ .mfi
-      nop.m 999
-(p10) fnorm.d f8 = CEIL_NORM_f8
-      nop.i 999 ;;
+{ .mmi
+      and              rExp = rSignexp, rExpMask // Get biased exponent
+;;
+      cmp.ge           p7,p6 = rExp, rBigexp  // Is |x| >= 2^52?
+(p8)  cmp.lt.unc       p10,p0 = rSignexp, rSignexpM1 // Is -1 < x < 0?
 }
+;;
 
-// Is -1 < x < 0?  If so, result will be -0.  Special case it with p14 set.
+// If -1 < x < 0, we turn off p6 and compute result as -0
 { .mfi
-      nop.m 999
-(p8)  fcmp.gt.unc.s1 p14,p0 = CEIL_NORM_f8, CEIL_MINUS_ONE
-      nop.i 999 ;;
+(p10) cmp.ne           p6,p0 = r0,r0
+(p10) fmerge.s         f8 = fNormX, f0
+      nop.i            0
 }
+;;
 
+.pred.rel "mutex",p6,p7
 { .mfi
-(p14) cmp.ne  p11,p0 = r0,r0
-(p14) fnorm.d f8 = CEIL_SIGNED_ZERO
-      nop.i 999
+      nop.m            0
+(p6)  fma.d.s0         f8 = fPreResult, f1, fAdj // Result if !int, |x| < 2^52
+      nop.i            0
 }
 { .mfi
-      nop.m 999
-(p14) fmpy.s0     CEIL_INEXACT = CEIL_FFFF,CEIL_FFFF
-      nop.i 999 ;;
+      nop.m            0
+(p7)  fma.d.s0         f8 = fNormX, f1, f0    // Result, if |x| >= 2^52
+(p10) cmp.eq           p6,p0 = r0,r0          // If -1 < x < 0, turn on p6 again
 }
+;;
 
 { .mfi
-      nop.m 999
-(p11) fadd.d   f8 = CEIL_FLOAT_INT_f8,CEIL_adj
-      nop.i 999 ;;
-}
-{ .mfi
-      nop.m 999
-(p11) fcmp.eq.unc.s1  p12,p13  = CEIL_FLOAT_INT_f8, CEIL_NORM_f8
-      nop.i 999 ;;
+      nop.m            0
+(p6)  fcmp.eq.unc.s1   p8, p9 = fPreResult, fNormX // Is trunc(x) = x ?
+      nop.i            0
 }
+;;
 
-// Set inexact if result not equal to input
 { .mfi
-      nop.m 999
-(p13) fmpy.s0     CEIL_INEXACT = CEIL_FFFF,CEIL_FFFF
-      nop.i 999
+      nop.m            0
+(p9)  fmpy.s0          fTmp = fTmp, fTmp      // Dummy to set inexact
+      nop.i            0
 }
-// Set result to input if integer
 { .mfb
-      nop.m 999
-(p12) fnorm.d f8 = CEIL_NORM_f8
-      br.ret.sptk    b0 ;;
+      nop.m            0
+(p8)  fma.d.s0         f8 = fNormX, f1, f0    // If x int, result normalized x
+      br.ret.sptk      b0                     // Exit main path, 0 < |x| < 2^52
 }
+;;
+
 
-// Here if input denorm
-L(CEIL_DENORM):
+CEIL_UNORM:
+// Here if x unorm
 { .mfb
-      getf.exp ceil_GR_signexp  = CEIL_NORM_f8
-      fcvt.fx.trunc.s1     CEIL_INT_f8  = CEIL_NORM_f8
-      br.cond.sptk  L(CEIL_COMMON) ;;
+      getf.exp         rSignexp  = fNormX     // Get signexp, recompute if unorm
+      fcmp.eq.s0       p7,p0 = f8, f0         // Dummy op to set denormal flag
+      br.cond.sptk     CEIL_COMMON            // Return to main path
 }
+;;
 
-.endp ceil
-ASM_SIZE_DIRECTIVE(ceil)
+GLOBAL_LIBM_END(ceil)
diff --git a/sysdeps/ia64/fpu/s_ceilf.S b/sysdeps/ia64/fpu/s_ceilf.S
index d1011052e8..051534a202 100644
--- a/sysdeps/ia64/fpu/s_ceilf.S
+++ b/sysdeps/ia64/fpu/s_ceilf.S
@@ -1,10 +1,10 @@
 .file "ceilf.s"
 
-// Copyright (C) 2000, 2001, Intel Corporation
+
+// Copyright (c) 2000 - 2003, Intel Corporation
 // All rights reserved.
-// 
-// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story,
-// and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
 //
 // Redistribution and use in source and binary forms, with or without
 // modification, are permitted provided that the following conditions are
@@ -20,90 +20,67 @@
 // * The name of Intel Corporation may not be used to endorse or promote
 // products derived from this software without specific prior written
 // permission.
-//
-// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
-// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
-// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS 
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
 // CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
-// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, 
-// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 
-// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY 
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
 // OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
-// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 
-// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 
-// 
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+//
 // Intel Corporation is the author of this code, and requests that all
-// problem reports or change requests be submitted to it directly at 
-// http://developer.intel.com/opensource.
+// problem reports or change requests be submitted to it directly at
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
 //
-
-#include "libm_support.h"
-
-.align 32
-.global ceilf#
-
-.section .text
-.proc  ceilf#
-.align 32
-
 // History
 //==============================================================
-// 2/02/00: Initial version
-// 6/13/00: Improved speed
-// 6/27/00: Eliminated incorrect invalid flag setting
+// 02/02/00 Initial version
+// 06/13/00 Improved speed
+// 06/27/00 Eliminated incorrect invalid flag setting
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 01/28/03 Improved performance
+//==============================================================
 
 // API
 //==============================================================
 // float ceilf(float x)
+//==============================================================
 
-// general input registers:  
-
-ceil_GR_FFFF      = r14
-ceil_GR_signexp   = r15
-ceil_GR_exponent  = r16
-ceil_GR_expmask   = r17
-ceil_GR_bigexp    = r18
-
-
-// predicate registers used: 
+// general input registers:
+// r14 - r19
 
-// p6  ==> Input is NaN, infinity, zero
-// p7  ==> Input is denormal
-// p8  ==> Input is <0
-// p9  ==> Input is >=0
-// p10 ==> Input is already an integer (bigger than largest integer)
-// p11 ==> Input is not a large integer
-// p12 ==> Input is a smaller integer
-// p13 ==> Input is not an even integer, so inexact must be set
-// p14 ==> Input is between -1 and 0, so result will be -0 and inexact
+rSignexp   = r14
+rExp       = r15
+rExpMask   = r16
+rBigexp    = r17
+rM1        = r18
+rSignexpM1 = r19
 
+// floating-point registers:
+// f8 - f13
 
-// floating-point registers used: 
+fXInt      = f9
+fNormX     = f10
+fTmp       = f11
+fAdj       = f12
+fPreResult = f13
 
-CEIL_SIGNED_ZERO  = f7
-CEIL_NORM_f8      = f9                        
-CEIL_FFFF         = f10 
-CEIL_INEXACT      = f11 
-CEIL_FLOAT_INT_f8 = f12
-CEIL_INT_f8       = f13
-CEIL_adj          = f14
-CEIL_MINUS_ONE    = f15
+// predicate registers used:
+// p6 - p10
 
 // Overview of operation
 //==============================================================
-
 // float ceilf(float x)
-// Return an integer value (represented as a float) that is the smallest 
+// Return an integer value (represented as a float) that is the smallest
 // value not less than x
 // This is x rounded toward +infinity to an integral value.
 // Inexact is set if x != ceilf(x)
-// **************************************************************************
-
-// Set denormal flag for denormal input and
-// and take denormal fault if necessary.
-
-// Is the input an integer value already?
+//==============================================================
 
 // double_extended
 // if the exponent is > 1003e => 3F(true) = 63(decimal)
@@ -124,139 +101,124 @@ CEIL_MINUS_ONE    = f15
 // If we multiply by 2^23, we no longer have a fractional part
 // So input is an integer value already.
 
-// If x is NAN, ZERO, or INFINITY, then  return
-
-// qnan snan inf norm     unorm 0 -+
-// 1    1    1   0        0     1 11     0xe7
-
 
-ceilf:
+.section .text
+GLOBAL_LIBM_ENTRY(ceilf)
 
 { .mfi
-      getf.exp ceil_GR_signexp  = f8
-      fcvt.fx.trunc.s1     CEIL_INT_f8  = f8
-      addl        ceil_GR_bigexp = 0x10016, r0
+      getf.exp         rSignexp  = f8        // Get signexp, recompute if unorm
+      fclass.m         p7,p0 = f8, 0x0b      // Test x unorm
+      addl             rBigexp = 0x10016, r0 // Set exponent at which is integer
 }
 { .mfi
-      addl        ceil_GR_FFFF      = -1,r0
-      fcmp.lt.s1  p8,p9 = f8,f0
-      mov         ceil_GR_expmask    = 0x1FFFF ;;
+      mov              rM1 = -1              // Set all ones
+      fcvt.fx.trunc.s1 fXInt  = f8           // Convert to int in significand
+      mov              rExpMask    = 0x1FFFF // Form exponent mask
 }
+;;
 
-// p7 ==> denorm
 { .mfi
-      setf.sig    CEIL_FFFF  = ceil_GR_FFFF
-      fclass.m    p7,p0 = f8, 0x0b
-      nop.i 999
+      mov              rSignexpM1  = 0x2FFFF // Form signexp of -1
+      fcmp.lt.s1       p8,p9 = f8, f0        // Test x < 0
+      nop.i            0
 }
-{ .mfi
-      nop.m 999
-      fnorm           CEIL_NORM_f8  = f8
-      nop.i 999 ;;
+{ .mfb
+      setf.sig         fTmp = rM1            // Make const for setting inexact
+      fnorm.s1         fNormX  = f8          // Normalize input
+(p7)  br.cond.spnt     CEIL_UNORM            // Branch if x unorm
 }
+;;
 
-// Form 0 with sign of input in case negative zero is needed
-{ .mfi
-      nop.m 999
-      fmerge.s           CEIL_SIGNED_ZERO = f8, f0
-      nop.i 999
-}
+CEIL_COMMON:
+// Return here from CEIL_UNORM
 { .mfi
-      nop.m 999
-      fsub.s1           CEIL_MINUS_ONE = f0, f1
-      nop.i 999 ;;
-}
-
-// p6 ==> NAN, INF, ZERO
-{ .mfb
-      nop.m 999
-      fclass.m      p6,p10 = f8, 0xe7
-(p7)  br.cond.spnt  L(CEIL_DENORM) ;;
+      nop.m            0
+      fclass.m         p6,p0 = f8, 0x1e7     // Test x natval, nan, inf, 0
+      nop.i            0
 }
+;;
 
-L(CEIL_COMMON):
 .pred.rel "mutex",p8,p9
-// Set adjustment to add to trunc(x) for result
-//   If x>0,  adjustment is 1.0
-//   If x<=0, adjustment is 0.0
 { .mfi
-      and      ceil_GR_exponent = ceil_GR_signexp, ceil_GR_expmask
-(p9)  fadd.s1  CEIL_adj = f1,f0
-      nop.i 999
+      nop.m            0
+(p8)  fma.s1           fAdj = f0, f0, f0     // If x < 0, adjustment is 0
+      nop.i            0
 }
 { .mfi
-      nop.m 999
-(p8)  fadd.s1  CEIL_adj = f0,f0
-      nop.i 999 ;;
+      nop.m            0
+(p9)  fma.s1           fAdj = f1, f1, f0     // If x > 0, adjustment is +1
+      nop.i            0
 }
+;;
 
 { .mfi
-(p10) cmp.ge.unc    p10,p11 = ceil_GR_exponent, ceil_GR_bigexp
-(p6)  fnorm.s f8 = f8
-      nop.i 999 ;;
+      nop.m            0
+      fcvt.xf          fPreResult = fXInt    // trunc(x)
+      nop.i            0
 }
-
-{ .mfi
-      nop.m 999
-(p11) fcvt.xf         CEIL_FLOAT_INT_f8   = CEIL_INT_f8
-      nop.i 999 ;;
+{ .mfb
+      nop.m            0
+(p6)  fma.s.s0         f8 = f8, f1, f0       // Result if x natval, nan, inf, 0
+(p6)  br.ret.spnt      b0                    // Exit if x natval, nan, inf, 0
 }
+;;
 
-{ .mfi
-      nop.m 999
-(p10) fnorm.s f8 = CEIL_NORM_f8
-      nop.i 999 ;;
+{ .mmi
+      and              rExp = rSignexp, rExpMask // Get biased exponent
+;;
+      cmp.ge           p7,p6 = rExp, rBigexp  // Is |x| >= 2^23?
+(p8)  cmp.lt.unc       p10,p0 = rSignexp, rSignexpM1 // Is -1 < x < 0?
 }
+;;
 
-// Is -1 < x < 0?  If so, result will be -0.  Special case it with p14 set.
+// If -1 < x < 0, we turn off p6 and compute result as -0
 { .mfi
-      nop.m 999
-(p8)  fcmp.gt.unc.s1 p14,p0 = CEIL_NORM_f8, CEIL_MINUS_ONE
-      nop.i 999 ;;
+(p10) cmp.ne           p6,p0 = r0,r0
+(p10) fmerge.s         f8 = fNormX, f0
+      nop.i            0
 }
+;;
 
+.pred.rel "mutex",p6,p7
 { .mfi
-(p14) cmp.ne  p11,p0 = r0,r0
-(p14) fnorm.s f8 = CEIL_SIGNED_ZERO
-      nop.i 999
+      nop.m            0
+(p6)  fma.s.s0         f8 = fPreResult, f1, fAdj // Result if !int, |x| < 2^23
+      nop.i            0
 }
 { .mfi
-      nop.m 999
-(p14) fmpy.s0     CEIL_INEXACT = CEIL_FFFF,CEIL_FFFF
-      nop.i 999 ;;
+      nop.m            0
+(p7)  fma.s.s0         f8 = fNormX, f1, f0    // Result, if |x| >= 2^23
+(p10) cmp.eq           p6,p0 = r0,r0          // If -1 < x < 0, turn on p6 again
 }
+;;
 
 { .mfi
-      nop.m 999
-(p11) fadd.s   f8 = CEIL_FLOAT_INT_f8,CEIL_adj
-      nop.i 999 ;;
-}
-{ .mfi
-      nop.m 999
-(p11) fcmp.eq.unc.s1  p12,p13  = CEIL_FLOAT_INT_f8, CEIL_NORM_f8
-      nop.i 999 ;;
+      nop.m            0
+(p6)  fcmp.eq.unc.s1   p8, p9 = fPreResult, fNormX // Is trunc(x) = x ?
+      nop.i            0
 }
+;;
 
-// Set inexact if result not equal to input
 { .mfi
-      nop.m 999
-(p13) fmpy.s0     CEIL_INEXACT = CEIL_FFFF,CEIL_FFFF
-      nop.i 999
+      nop.m            0
+(p9)  fmpy.s0          fTmp = fTmp, fTmp      // Dummy to set inexact
+      nop.i            0
 }
-// Set result to input if integer
 { .mfb
-      nop.m 999
-(p12) fnorm.s f8 = CEIL_NORM_f8
-      br.ret.sptk    b0 ;;
+      nop.m            0
+(p8)  fma.s.s0         f8 = fNormX, f1, f0    // If x int, result normalized x
+      br.ret.sptk      b0                     // Exit main path, 0 < |x| < 2^23
 }
+;;
+
 
-// Here if input denorm
-L(CEIL_DENORM):
+CEIL_UNORM:
+// Here if x unorm
 { .mfb
-      getf.exp ceil_GR_signexp  = CEIL_NORM_f8
-      fcvt.fx.trunc.s1     CEIL_INT_f8  = CEIL_NORM_f8
-      br.cond.sptk  L(CEIL_COMMON) ;;
+      getf.exp         rSignexp  = fNormX     // Get signexp, recompute if unorm
+      fcmp.eq.s0       p7,p0 = f8, f0         // Dummy op to set denormal flag
+      br.cond.sptk     CEIL_COMMON            // Return to main path
 }
+;;
 
-.endp ceilf
-ASM_SIZE_DIRECTIVE(ceilf)
+GLOBAL_LIBM_END(ceilf)
diff --git a/sysdeps/ia64/fpu/s_ceill.S b/sysdeps/ia64/fpu/s_ceill.S
index d3d8719584..71cb01d3fa 100644
--- a/sysdeps/ia64/fpu/s_ceill.S
+++ b/sysdeps/ia64/fpu/s_ceill.S
@@ -1,10 +1,10 @@
 .file "ceill.s"
 
-// Copyright (C) 2000, 2001, Intel Corporation
+
+// Copyright (c) 2000 - 2003, Intel Corporation
 // All rights reserved.
-// 
-// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story,
-// and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
 //
 // Redistribution and use in source and binary forms, with or without
 // modification, are permitted provided that the following conditions are
@@ -20,90 +20,67 @@
 // * The name of Intel Corporation may not be used to endorse or promote
 // products derived from this software without specific prior written
 // permission.
-//
-// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
-// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
-// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS 
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
 // CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
-// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, 
-// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 
-// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY 
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
 // OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
-// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 
-// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 
-// 
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+//
 // Intel Corporation is the author of this code, and requests that all
-// problem reports or change requests be submitted to it directly at 
-// http://developer.intel.com/opensource.
+// problem reports or change requests be submitted to it directly at
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
 //
-
-#include "libm_support.h"
-
-.align 32
-.global ceill#
-
-.section .text
-.proc  ceill#
-.align 32
-
 // History
 //==============================================================
-// 2/02/00: Initial version
-// 6/13/00: Improved speed
-// 6/27/00: Eliminated incorrect invalid flag setting
+// 02/02/00 Initial version
+// 06/13/00 Improved speed
+// 06/27/00 Eliminated incorrect invalid flag setting
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 01/28/03 Improved performance
+//==============================================================
 
 // API
 //==============================================================
-// double ceill(double x)
-
-// general input registers:  
-
-ceil_GR_FFFF      = r14
-ceil_GR_signexp   = r15
-ceil_GR_exponent  = r16
-ceil_GR_expmask   = r17
-ceil_GR_bigexp    = r18
-
+// long double ceill(long double x)
+//==============================================================
 
-// predicate registers used: 
+// general input registers:
+// r14 - r19
 
-// p6  ==> Input is NaN, infinity, zero
-// p7  ==> Input is denormal
-// p8  ==> Input is <0
-// p9  ==> Input is >=0
-// p10 ==> Input is already an integer (bigger than largest integer)
-// p11 ==> Input is not a large integer
-// p12 ==> Input is a smaller integer
-// p13 ==> Input is not an even integer, so inexact must be set
-// p14 ==> Input is between -1 and 0, so result will be -0 and inexact
+rSignexp   = r14
+rExp       = r15
+rExpMask   = r16
+rBigexp    = r17
+rM1        = r18
+rSignexpM1 = r19
 
+// floating-point registers:
+// f8 - f13
 
-// floating-point registers used: 
+fXInt      = f9
+fNormX     = f10
+fTmp       = f11
+fAdj       = f12
+fPreResult = f13
 
-CEIL_SIGNED_ZERO  = f7
-CEIL_NORM_f8      = f9                        
-CEIL_FFFF         = f10 
-CEIL_INEXACT      = f11 
-CEIL_FLOAT_INT_f8 = f12
-CEIL_INT_f8       = f13
-CEIL_adj          = f14
-CEIL_MINUS_ONE    = f15
+// predicate registers used:
+// p6 - p10
 
 // Overview of operation
 //==============================================================
-
 // long double ceill(long double x)
-// Return an integer value (represented as a long double) that is the smallest 
+// Return an integer value (represented as a long double) that is the smallest
 // value not less than x
 // This is x rounded toward +infinity to an integral value.
 // Inexact is set if x != ceill(x)
-// **************************************************************************
-
-// Set denormal flag for denormal input and
-// and take denormal fault if necessary.
-
-// Is the input an integer value already?
+//==============================================================
 
 // double_extended
 // if the exponent is > 1003e => 3F(true) = 63(decimal)
@@ -124,139 +101,124 @@ CEIL_MINUS_ONE    = f15
 // If we multiply by 2^23, we no longer have a fractional part
 // So input is an integer value already.
 
-// If x is NAN, ZERO, or INFINITY, then  return
-
-// qnan snan inf norm     unorm 0 -+
-// 1    1    1   0        0     1 11     0xe7
-
 
-ceill:
+.section .text
+GLOBAL_LIBM_ENTRY(ceill)
 
 { .mfi
-      getf.exp ceil_GR_signexp  = f8
-      fcvt.fx.trunc.s1     CEIL_INT_f8  = f8
-      addl        ceil_GR_bigexp = 0x1003e, r0
+      getf.exp         rSignexp  = f8        // Get signexp, recompute if unorm
+      fclass.m         p7,p0 = f8, 0x0b      // Test x unorm
+      addl             rBigexp = 0x1003e, r0 // Set exponent at which is integer
 }
 { .mfi
-      addl        ceil_GR_FFFF      = -1,r0
-      fcmp.lt.s1  p8,p9 = f8,f0
-      mov         ceil_GR_expmask    = 0x1FFFF ;;
+      mov              rM1 = -1              // Set all ones
+      fcvt.fx.trunc.s1 fXInt  = f8           // Convert to int in significand
+      mov              rExpMask    = 0x1FFFF // Form exponent mask
 }
+;;
 
-// p7 ==> denorm
 { .mfi
-      setf.sig    CEIL_FFFF  = ceil_GR_FFFF
-      fclass.m    p7,p0 = f8, 0x0b
-      nop.i 999
+      mov              rSignexpM1  = 0x2FFFF // Form signexp of -1
+      fcmp.lt.s1       p8,p9 = f8, f0        // Test x < 0
+      nop.i            0
 }
-{ .mfi
-      nop.m 999
-      fnorm           CEIL_NORM_f8  = f8
-      nop.i 999 ;;
+{ .mfb
+      setf.sig         fTmp = rM1            // Make const for setting inexact
+      fnorm.s1         fNormX  = f8          // Normalize input
+(p7)  br.cond.spnt     CEIL_UNORM            // Branch if x unorm
 }
+;;
 
-// Form 0 with sign of input in case negative zero is needed
-{ .mfi
-      nop.m 999
-      fmerge.s           CEIL_SIGNED_ZERO = f8, f0
-      nop.i 999
-}
+CEIL_COMMON:
+// Return here from CEIL_UNORM
 { .mfi
-      nop.m 999
-      fsub.s1           CEIL_MINUS_ONE = f0, f1
-      nop.i 999 ;;
-}
-
-// p6 ==> NAN, INF, ZERO
-{ .mfb
-      nop.m 999
-      fclass.m      p6,p10 = f8, 0xe7
-(p7)  br.cond.spnt  L(CEIL_DENORM) ;;
+      nop.m            0
+      fclass.m         p6,p0 = f8, 0x1e7     // Test x natval, nan, inf, 0
+      nop.i            0
 }
+;;
 
-L(CEIL_COMMON):
 .pred.rel "mutex",p8,p9
-// Set adjustment to add to trunc(x) for result
-//   If x>0,  adjustment is 1.0
-//   If x<=0, adjustment is 0.0
 { .mfi
-      and      ceil_GR_exponent = ceil_GR_signexp, ceil_GR_expmask
-(p9)  fadd.s1  CEIL_adj = f1,f0
-      nop.i 999
+      nop.m            0
+(p8)  fma.s1           fAdj = f0, f0, f0     // If x < 0, adjustment is 0
+      nop.i            0
 }
 { .mfi
-      nop.m 999
-(p8)  fadd.s1  CEIL_adj = f0,f0
-      nop.i 999 ;;
+      nop.m            0
+(p9)  fma.s1           fAdj = f1, f1, f0     // If x > 0, adjustment is +1
+      nop.i            0
 }
+;;
 
 { .mfi
-(p10) cmp.ge.unc    p10,p11 = ceil_GR_exponent, ceil_GR_bigexp
-(p6)  fnorm   f8 = f8
-      nop.i 999 ;;
+      nop.m            0
+      fcvt.xf          fPreResult = fXInt    // trunc(x)
+      nop.i            0
 }
-
-{ .mfi
-      nop.m 999
-(p11) fcvt.xf         CEIL_FLOAT_INT_f8   = CEIL_INT_f8
-      nop.i 999 ;;
+{ .mfb
+      nop.m            0
+(p6)  fma.s0           f8 = f8, f1, f0       // Result if x natval, nan, inf, 0
+(p6)  br.ret.spnt      b0                    // Exit if x natval, nan, inf, 0
 }
+;;
 
-{ .mfi
-      nop.m 999
-(p10) fnorm   f8 = CEIL_NORM_f8
-      nop.i 999 ;;
+{ .mmi
+      and              rExp = rSignexp, rExpMask // Get biased exponent
+;;
+      cmp.ge           p7,p6 = rExp, rBigexp  // Is |x| >= 2^63?
+(p8)  cmp.lt.unc       p10,p0 = rSignexp, rSignexpM1 // Is -1 < x < 0?
 }
+;;
 
-// Is -1 < x < 0?  If so, result will be -0.  Special case it with p14 set.
+// If -1 < x < 0, we turn off p6 and compute result as -0
 { .mfi
-      nop.m 999
-(p8)  fcmp.gt.unc.s1 p14,p0 = CEIL_NORM_f8, CEIL_MINUS_ONE
-      nop.i 999 ;;
+(p10) cmp.ne           p6,p0 = r0,r0
+(p10) fmerge.s         f8 = fNormX, f0
+      nop.i            0
 }
+;;
 
+.pred.rel "mutex",p6,p7
 { .mfi
-(p14) cmp.ne  p11,p0 = r0,r0
-(p14) fnorm   f8 = CEIL_SIGNED_ZERO
-      nop.i 999
+      nop.m            0
+(p6)  fma.s0           f8 = fPreResult, f1, fAdj // Result if !int, |x| < 2^63
+      nop.i            0
 }
 { .mfi
-      nop.m 999
-(p14) fmpy.s0     CEIL_INEXACT = CEIL_FFFF,CEIL_FFFF
-      nop.i 999 ;;
+      nop.m            0
+(p7)  fma.s0           f8 = fNormX, f1, f0    // Result, if |x| >= 2^63
+(p10) cmp.eq           p6,p0 = r0,r0          // If -1 < x < 0, turn on p6 again
 }
+;;
 
 { .mfi
-      nop.m 999
-(p11) fadd     f8 = CEIL_FLOAT_INT_f8,CEIL_adj
-      nop.i 999 ;;
-}
-{ .mfi
-      nop.m 999
-(p11) fcmp.eq.unc.s1  p12,p13  = CEIL_FLOAT_INT_f8, CEIL_NORM_f8
-      nop.i 999 ;;
+      nop.m            0
+(p6)  fcmp.eq.unc.s1   p8, p9 = fPreResult, fNormX // Is trunc(x) = x ?
+      nop.i            0
 }
+;;
 
-// Set inexact if result not equal to input
 { .mfi
-      nop.m 999
-(p13) fmpy.s0     CEIL_INEXACT = CEIL_FFFF,CEIL_FFFF
-      nop.i 999
+      nop.m            0
+(p9)  fmpy.s0          fTmp = fTmp, fTmp      // Dummy to set inexact
+      nop.i            0
 }
-// Set result to input if integer
 { .mfb
-      nop.m 999
-(p12) fnorm   f8 = CEIL_NORM_f8
-      br.ret.sptk    b0 ;;
+      nop.m            0
+(p8)  fma.s0           f8 = fNormX, f1, f0    // If x int, result normalized x
+      br.ret.sptk      b0                     // Exit main path, 0 < |x| < 2^63
 }
+;;
+
 
-// Here if input denorm
-L(CEIL_DENORM):
+CEIL_UNORM:
+// Here if x unorm
 { .mfb
-      getf.exp ceil_GR_signexp  = CEIL_NORM_f8
-      fcvt.fx.trunc.s1     CEIL_INT_f8  = CEIL_NORM_f8
-      br.cond.sptk  L(CEIL_COMMON) ;;
+      getf.exp         rSignexp  = fNormX     // Get signexp, recompute if unorm
+      fcmp.eq.s0       p7,p0 = f8, f0         // Dummy op to set denormal flag
+      br.cond.sptk     CEIL_COMMON            // Return to main path
 }
+;;
 
-.endp ceill
-ASM_SIZE_DIRECTIVE(ceill)
+GLOBAL_LIBM_END(ceill)
diff --git a/sysdeps/ia64/fpu/s_copysign.S b/sysdeps/ia64/fpu/s_copysign.S
index e0d08cb721..0903565ff3 100644
--- a/sysdeps/ia64/fpu/s_copysign.S
+++ b/sysdeps/ia64/fpu/s_copysign.S
@@ -23,12 +23,16 @@ ENTRY (__copysign)
 {
 	fmerge.s fret0 = farg1, farg0
 	br.ret.sptk.many rp
-}	
+}
 END (__copysign)
 
 strong_alias (__copysign, __copysignf)
 strong_alias (__copysign, __copysignl)
 
+strong_alias (__copysign, __libm_copysign)
+strong_alias (__copysign, __libm_copysignf)
+strong_alias (__copysign, __libm_copysignl)
+
 weak_alias (__copysign, copysign)
 weak_alias (__copysignf, copysignf)
 weak_alias (__copysignl, copysignl)
diff --git a/sysdeps/ia64/fpu/s_cos.S b/sysdeps/ia64/fpu/s_cos.S
index 6540aec724..84c177abab 100644
--- a/sysdeps/ia64/fpu/s_cos.S
+++ b/sysdeps/ia64/fpu/s_cos.S
@@ -1,10 +1,10 @@
 .file "sincos.s"
 
-// Copyright (C) 2000, 2001, Intel Corporation
+
+// Copyright (c) 2000 - 2003, Intel Corporation
 // All rights reserved.
 //
-// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story,
-// and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation.
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
 //
 // Redistribution and use in source and binary forms, with or without
 // modification, are permitted provided that the following conditions are
@@ -20,7 +20,7 @@
 // * The name of Intel Corporation may not be used to endorse or promote
 // products derived from this software without specific prior written
 // permission.
-//
+
 // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
 // "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
@@ -35,17 +35,22 @@
 //
 // Intel Corporation is the author of this code, and requests that all
 // problem reports or change requests be submitted to it directly at
-// http://developer.intel.com/opensource.
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
 //
 // History
 //==============================================================
-// 2/02/00  Initial revision
-// 4/02/00  Unwind support added.
-// 6/16/00  Updated tables to enforce symmetry
-// 8/31/00  Saved 2 cycles in main path, and 9 in other paths.
-// 9/20/00  The updated tables regressed to an old version, so reinstated them
+// 02/02/00 Initial version
+// 04/02/00 Unwind support added.
+// 06/16/00 Updated tables to enforce symmetry
+// 08/31/00 Saved 2 cycles in main path, and 9 in other paths.
+// 09/20/00 The updated tables regressed to an old version, so reinstated them
 // 10/18/00 Changed one table entry to ensure symmetry
-// 1/03/01  Improved speed, fixed flag settings for small arguments.
+// 01/03/01 Improved speed, fixed flag settings for small arguments.
+// 02/18/02 Large arguments processing routine excluded
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 06/03/02 Insure inexact flag set for large arg result
+// 09/05/02 Work range is widened by reduction strengthen (3 parts of Pi/16)
+// 02/10/03 Reordered header: .section, .global, .proc, .align
 
 // API
 //==============================================================
@@ -63,9 +68,13 @@
 //    nfloat = Round result to integer (round-to-nearest)
 //
 // r = x -  nfloat * pi/2^k
-//    Do this as (x -  nfloat * HIGH(pi/2^k)) - nfloat * LOW(pi/2^k) for increased accuracy.
+//    Do this as ((((x -  nfloat * HIGH(pi/2^k))) - 
+//                        nfloat * LOW(pi/2^k)) - 
+//                        nfloat * LOWEST(pi/2^k) for increased accuracy.
 //    pi/2^k is stored as two numbers that when added make pi/2^k.
 //       pi/2^k = HIGH(pi/2^k) + LOW(pi/2^k)
+//    HIGH and LOW parts are rounded to zero values, 
+//    and LOWEST is rounded to nearest one.
 //
 // x = (nfloat * pi/2^k) + r
 //    r is small enough that we can use a polynomial approximation
@@ -121,7 +130,7 @@
 //
 // as follows
 //
-//    Sm = Sin(Mpi/2^k) and Cm = Cos(Mpi/2^k)
+//    S[m] = Sin(Mpi/2^k) and C[m] = Cos(Mpi/2^k)
 //    rsq = r*r
 //
 //
@@ -141,23 +150,22 @@
 //
 //       P =  r + rcub * P
 //
-//    Answer = Sm Cos(r) + Cm P
+//    Answer = S[m] Cos(r) + [Cm] P
 //
 //       Cos(r) = 1 + rsq Q
 //       Cos(r) = 1 + r^2 Q
 //       Cos(r) = 1 + r^2 (q1 + r^2q2 + r^4q3 + r^6q4)
 //       Cos(r) = 1 + r^2q1 + r^4q2 + r^6q3 + r^8q4 + ...
 //
-//       Sm Cos(r) = Sm(1 + rsq Q)
-//       Sm Cos(r) = Sm + Sm rsq Q
-//       Sm Cos(r) = Sm + s_rsq Q
-//       Q         = Sm + s_rsq Q
+//       S[m] Cos(r) = S[m](1 + rsq Q)
+//       S[m] Cos(r) = S[m] + Sm rsq Q
+//       S[m] Cos(r) = S[m] + s_rsq Q
+//       Q         = S[m] + s_rsq Q
 //
 // Then,
 //
-//    Answer = Q + Cm P
+//    Answer = Q + C[m] P
 
-#include "libm_support.h"
 
 // Registers used
 //==============================================================
@@ -174,99 +182,97 @@
 
 // Assembly macros
 //==============================================================
-sind_NORM_f8                 = f9
-sind_W                       = f10
-sind_int_Nfloat              = f11
-sind_Nfloat                  = f12
+sincos_NORM_f8                 = f9
+sincos_W                       = f10
+sincos_int_Nfloat              = f11
+sincos_Nfloat                  = f12
 
-sind_r                       = f13
-sind_rsq                     = f14
-sind_rcub                    = f15
+sincos_r                       = f13
+sincos_rsq                     = f14
+sincos_rcub                    = f15
+sincos_save_tmp                = f15
 
-sind_Inv_Pi_by_16            = f32
-sind_Pi_by_16_hi             = f33
-sind_Pi_by_16_lo             = f34
+sincos_Inv_Pi_by_16            = f32
+sincos_Pi_by_16_1              = f33
+sincos_Pi_by_16_2              = f34
 
-sind_Inv_Pi_by_64            = f35
-sind_Pi_by_64_hi             = f36
-sind_Pi_by_64_lo             = f37
+sincos_Inv_Pi_by_64            = f35
 
-sind_Sm                      = f38
-sind_Cm                      = f39
+sincos_Pi_by_16_3              = f36
 
-sind_P1                      = f40
-sind_Q1                      = f41
-sind_P2                      = f42
-sind_Q2                      = f43
-sind_P3                      = f44
-sind_Q3                      = f45
-sind_P4                      = f46
-sind_Q4                      = f47
+sincos_r_exact                 = f37
 
-sind_P_temp1                 = f48
-sind_P_temp2                 = f49
+sincos_Sm                      = f38
+sincos_Cm                      = f39
 
-sind_Q_temp1                 = f50
-sind_Q_temp2                 = f51
+sincos_P1                      = f40
+sincos_Q1                      = f41
+sincos_P2                      = f42
+sincos_Q2                      = f43
+sincos_P3                      = f44
+sincos_Q3                      = f45
+sincos_P4                      = f46
+sincos_Q4                      = f47
 
-sind_P                       = f52
-sind_Q                       = f53
+sincos_P_temp1                 = f48
+sincos_P_temp2                 = f49
 
-sind_srsq                    = f54
+sincos_Q_temp1                 = f50
+sincos_Q_temp2                 = f51
 
-sind_SIG_INV_PI_BY_16_2TO61  = f55
-sind_RSHF_2TO61              = f56
-sind_RSHF                    = f57
-sind_2TOM61                  = f58
-sind_NFLOAT                  = f59
-sind_W_2TO61_RSH             = f60
+sincos_P                       = f52
+sincos_Q                       = f53
 
-fp_tmp                       = f61
+sincos_srsq                    = f54
+
+sincos_SIG_INV_PI_BY_16_2TO61  = f55
+sincos_RSHF_2TO61              = f56
+sincos_RSHF                    = f57
+sincos_2TOM61                  = f58
+sincos_NFLOAT                  = f59
+sincos_W_2TO61_RSH             = f60
+
+fp_tmp                         = f61
 
 /////////////////////////////////////////////////////////////
 
-sind_AD_1                    = r33
-sind_AD_2                    = r34
-sind_exp_limit               = r35
-sind_r_signexp               = r36
-sind_AD_beta_table           = r37
-sind_r_sincos                = r38
+sincos_AD_1                    = r33
+sincos_AD_2                    = r34
+sincos_exp_limit               = r35
+sincos_r_signexp               = r36
+sincos_AD_beta_table           = r37
+sincos_r_sincos                = r38
 
-sind_r_exp                   = r39
-sind_r_17_ones               = r40
+sincos_r_exp                   = r39
+sincos_r_17_ones               = r40
 
-sind_GR_sig_inv_pi_by_16     = r14
-sind_GR_rshf_2to61           = r15
-sind_GR_rshf                 = r16
-sind_GR_exp_2tom61           = r17
-sind_GR_n                    = r18
-sind_GR_m                    = r19
-sind_GR_32m                  = r19
+sincos_GR_sig_inv_pi_by_16     = r14
+sincos_GR_rshf_2to61           = r15
+sincos_GR_rshf                 = r16
+sincos_GR_exp_2tom61           = r17
+sincos_GR_n                    = r18
+sincos_GR_m                    = r19
+sincos_GR_32m                  = r19
+sincos_GR_all_ones             = r19
 
-gr_tmp                       = r41
-GR_SAVE_PFS                  = r41
-GR_SAVE_B0                   = r42
-GR_SAVE_GP                   = r43
+gr_tmp                         = r41
+GR_SAVE_PFS                    = r41
+GR_SAVE_B0                     = r42
+GR_SAVE_GP                     = r43
 
 
-#ifdef _LIBC
-.rodata
-#else
-.data
-#endif
+RODATA
 
+// Pi/16 parts
 .align 16
-double_sind_pi:
-ASM_TYPE_DIRECTIVE(double_sind_pi,@object)
-//   data8 0xA2F9836E4E44152A, 0x00004001 // 16/pi (significand loaded w/ setf)
-//         c90fdaa22168c234
-   data8 0xC90FDAA22168C234, 0x00003FFC // pi/16 hi
-//         c4c6628b80dc1cd1  29024e088a
-   data8 0xC4C6628B80DC1CD1, 0x00003FBC // pi/16 lo
-ASM_SIZE_DIRECTIVE(double_sind_pi)
-
-double_sind_pq_k4:
-ASM_TYPE_DIRECTIVE(double_sind_pq_k4,@object)
+LOCAL_OBJECT_START(double_sincos_pi)
+   data8 0xC90FDAA22168C234, 0x00003FFC // pi/16 1st part
+   data8 0xC4C6628B80DC1CD1, 0x00003FBC // pi/16 2nd part
+   data8 0xA4093822299F31D0, 0x00003F7A // pi/16 3rd part
+LOCAL_OBJECT_END(double_sincos_pi)
+
+// Coefficients for polynomials
+LOCAL_OBJECT_START(double_sincos_pq_k4)
    data8 0x3EC71C963717C63A // P4
    data8 0x3EF9FFBA8F191AE6 // Q4
    data8 0xBF2A01A00F4E11A8 // P3
@@ -275,125 +281,119 @@ ASM_TYPE_DIRECTIVE(double_sind_pq_k4,@object)
    data8 0x3FA555555554DD45 // Q2
    data8 0xBFC5555555555555 // P1
    data8 0xBFDFFFFFFFFFFFFC // Q1
-ASM_SIZE_DIRECTIVE(double_sind_pq_k4)
+LOCAL_OBJECT_END(double_sincos_pq_k4)
 
+// Sincos table (S[m], C[m])
+LOCAL_OBJECT_START(double_sin_cos_beta_k4)
 
-double_sin_cos_beta_k4:
-ASM_TYPE_DIRECTIVE(double_sin_cos_beta_k4,@object)
 data8 0x0000000000000000 , 0x00000000 // sin( 0 pi/16)  S0
 data8 0x8000000000000000 , 0x00003fff // cos( 0 pi/16)  C0
-
+//
 data8 0xc7c5c1e34d3055b3 , 0x00003ffc // sin( 1 pi/16)  S1
 data8 0xfb14be7fbae58157 , 0x00003ffe // cos( 1 pi/16)  C1
-
+//
 data8 0xc3ef1535754b168e , 0x00003ffd // sin( 2 pi/16)  S2
 data8 0xec835e79946a3146 , 0x00003ffe // cos( 2 pi/16)  C2
-
+//
 data8 0x8e39d9cd73464364 , 0x00003ffe // sin( 3 pi/16)  S3
 data8 0xd4db3148750d181a , 0x00003ffe // cos( 3 pi/16)  C3
-
+//
 data8 0xb504f333f9de6484 , 0x00003ffe // sin( 4 pi/16)  S4
 data8 0xb504f333f9de6484 , 0x00003ffe // cos( 4 pi/16)  C4
-
-
+//
+//
 data8 0xd4db3148750d181a , 0x00003ffe // sin( 5 pi/16)  C3
 data8 0x8e39d9cd73464364 , 0x00003ffe // cos( 5 pi/16)  S3
-
+//
 data8 0xec835e79946a3146 , 0x00003ffe // sin( 6 pi/16)  C2
 data8 0xc3ef1535754b168e , 0x00003ffd // cos( 6 pi/16)  S2
-
+//
 data8 0xfb14be7fbae58157 , 0x00003ffe // sin( 7 pi/16)  C1
 data8 0xc7c5c1e34d3055b3 , 0x00003ffc // cos( 7 pi/16)  S1
-
+//
 data8 0x8000000000000000 , 0x00003fff // sin( 8 pi/16)  C0
 data8 0x0000000000000000 , 0x00000000 // cos( 8 pi/16)  S0
-
-
+//
+//
 data8 0xfb14be7fbae58157 , 0x00003ffe // sin( 9 pi/16)  C1
 data8 0xc7c5c1e34d3055b3 , 0x0000bffc // cos( 9 pi/16)  -S1
-
+//
 data8 0xec835e79946a3146 , 0x00003ffe // sin(10 pi/16)  C2
 data8 0xc3ef1535754b168e , 0x0000bffd // cos(10 pi/16)  -S2
-
+//
 data8 0xd4db3148750d181a , 0x00003ffe // sin(11 pi/16)  C3
 data8 0x8e39d9cd73464364 , 0x0000bffe // cos(11 pi/16)  -S3
-
+//
 data8 0xb504f333f9de6484 , 0x00003ffe // sin(12 pi/16)  S4
 data8 0xb504f333f9de6484 , 0x0000bffe // cos(12 pi/16)  -S4
-
-
+//
+//
 data8 0x8e39d9cd73464364 , 0x00003ffe // sin(13 pi/16) S3
 data8 0xd4db3148750d181a , 0x0000bffe // cos(13 pi/16) -C3
-
+//
 data8 0xc3ef1535754b168e , 0x00003ffd // sin(14 pi/16) S2
 data8 0xec835e79946a3146 , 0x0000bffe // cos(14 pi/16) -C2
-
+//
 data8 0xc7c5c1e34d3055b3 , 0x00003ffc // sin(15 pi/16) S1
 data8 0xfb14be7fbae58157 , 0x0000bffe // cos(15 pi/16) -C1
-
+//
 data8 0x0000000000000000 , 0x00000000 // sin(16 pi/16) S0
 data8 0x8000000000000000 , 0x0000bfff // cos(16 pi/16) -C0
-
-
+//
+//
 data8 0xc7c5c1e34d3055b3 , 0x0000bffc // sin(17 pi/16) -S1
 data8 0xfb14be7fbae58157 , 0x0000bffe // cos(17 pi/16) -C1
-
+//
 data8 0xc3ef1535754b168e , 0x0000bffd // sin(18 pi/16) -S2
 data8 0xec835e79946a3146 , 0x0000bffe // cos(18 pi/16) -C2
-
+//
 data8 0x8e39d9cd73464364 , 0x0000bffe // sin(19 pi/16) -S3
 data8 0xd4db3148750d181a , 0x0000bffe // cos(19 pi/16) -C3
-
+//
 data8 0xb504f333f9de6484 , 0x0000bffe // sin(20 pi/16) -S4
 data8 0xb504f333f9de6484 , 0x0000bffe // cos(20 pi/16) -S4
-
-
+//
+//
 data8 0xd4db3148750d181a , 0x0000bffe // sin(21 pi/16) -C3
 data8 0x8e39d9cd73464364 , 0x0000bffe // cos(21 pi/16) -S3
-
+//
 data8 0xec835e79946a3146 , 0x0000bffe // sin(22 pi/16) -C2
 data8 0xc3ef1535754b168e , 0x0000bffd // cos(22 pi/16) -S2
-
+//
 data8 0xfb14be7fbae58157 , 0x0000bffe // sin(23 pi/16) -C1
 data8 0xc7c5c1e34d3055b3 , 0x0000bffc // cos(23 pi/16) -S1
-
+//
 data8 0x8000000000000000 , 0x0000bfff // sin(24 pi/16) -C0
 data8 0x0000000000000000 , 0x00000000 // cos(24 pi/16) S0
-
-
+//
+//
 data8 0xfb14be7fbae58157 , 0x0000bffe // sin(25 pi/16) -C1
 data8 0xc7c5c1e34d3055b3 , 0x00003ffc // cos(25 pi/16) S1
-
+//
 data8 0xec835e79946a3146 , 0x0000bffe // sin(26 pi/16) -C2
 data8 0xc3ef1535754b168e , 0x00003ffd // cos(26 pi/16) S2
-
+//
 data8 0xd4db3148750d181a , 0x0000bffe // sin(27 pi/16) -C3
 data8 0x8e39d9cd73464364 , 0x00003ffe // cos(27 pi/16) S3
-
+//
 data8 0xb504f333f9de6484 , 0x0000bffe // sin(28 pi/16) -S4
 data8 0xb504f333f9de6484 , 0x00003ffe // cos(28 pi/16) S4
-
-
+//
+//
 data8 0x8e39d9cd73464364 , 0x0000bffe // sin(29 pi/16) -S3
 data8 0xd4db3148750d181a , 0x00003ffe // cos(29 pi/16) C3
-
+//
 data8 0xc3ef1535754b168e , 0x0000bffd // sin(30 pi/16) -S2
 data8 0xec835e79946a3146 , 0x00003ffe // cos(30 pi/16) C2
-
+//
 data8 0xc7c5c1e34d3055b3 , 0x0000bffc // sin(31 pi/16) -S1
 data8 0xfb14be7fbae58157 , 0x00003ffe // cos(31 pi/16) C1
-
+//
 data8 0x0000000000000000 , 0x00000000 // sin(32 pi/16) S0
 data8 0x8000000000000000 , 0x00003fff // cos(32 pi/16) C0
-ASM_SIZE_DIRECTIVE(double_sin_cos_beta_k4)
+LOCAL_OBJECT_END(double_sin_cos_beta_k4)
 
-.align 32
-.global sin#
-.global cos#
-#ifdef _LIBC
-.global __sin#
-.global __cos#
-#endif
+.section .text
 
 ////////////////////////////////////////////////////////
 // There are two entry points: sin and cos
@@ -402,85 +402,63 @@ ASM_SIZE_DIRECTIVE(double_sin_cos_beta_k4)
 // If from sin, p8 is true
 // If from cos, p9 is true
 
-.section .text
-.proc  sin#
-#ifdef _LIBC
-.proc  __sin#
-#endif
-.align 32
-
-sin:
-#ifdef _LIBC
-__sin:
-#endif
+GLOBAL_IEEE754_ENTRY(sin)
 
 { .mlx
-      alloc          r32=ar.pfs,1,13,0,0
-      movl sind_GR_sig_inv_pi_by_16 = 0xA2F9836E4E44152A // significand of 16/pi
+      alloc         r32                 = ar.pfs, 1, 13, 0, 0
+      movl sincos_GR_sig_inv_pi_by_16   = 0xA2F9836E4E44152A // signd of 16/pi
 }
 { .mlx
-      addl           sind_AD_1   = @ltoff(double_sind_pi), gp
-      movl sind_GR_rshf_2to61 = 0x47b8000000000000 // 1.1000 2^(63+63-2)
+      addl          sincos_AD_1         = @ltoff(double_sincos_pi), gp
+      movl sincos_GR_rshf_2to61         = 0x47b8000000000000 // 1.1 2^(63+63-2)
 }
 ;;
 
 { .mfi
-      ld8 sind_AD_1 = [sind_AD_1]
-      fnorm     sind_NORM_f8  = f8
-      cmp.eq     p8,p9         = r0, r0
+      ld8           sincos_AD_1         = [sincos_AD_1]
+      fnorm.s0      sincos_NORM_f8      = f8  // Normalize argument
+      cmp.eq        p8,p9               = r0, r0 // set p8 (clear p9) for sin
 }
 { .mib
-      mov sind_GR_exp_2tom61 = 0xffff-61 // exponent of scaling factor 2^-61
-      mov            sind_r_sincos = 0x0
-      br.cond.sptk   L(SIND_SINCOS)
+      mov           sincos_GR_exp_2tom61  = 0xffff-61 // exponent of scale 2^-61
+      mov           sincos_r_sincos       = 0x0 // sincos_r_sincos = 0 for sin
+      br.cond.sptk  _SINCOS_COMMON  // go to common part
 }
 ;;
 
-.endp sin
-ASM_SIZE_DIRECTIVE(sin)
-
-
-.section .text
-.proc  cos#
-#ifdef _LIBC
-.proc  __cos#
-#endif
-.align 32
-cos:
-#ifdef _LIBC
-__cos:
-#endif
+GLOBAL_IEEE754_END(sin)
+GLOBAL_IEEE754_ENTRY(cos)
 
 { .mlx
-      alloc          r32=ar.pfs,1,13,0,0
-      movl sind_GR_sig_inv_pi_by_16 = 0xA2F9836E4E44152A // significand of 16/pi
+      alloc         r32                 = ar.pfs, 1, 13, 0, 0
+      movl sincos_GR_sig_inv_pi_by_16   = 0xA2F9836E4E44152A // signd of 16/pi
 }
 { .mlx
-      addl           sind_AD_1   = @ltoff(double_sind_pi), gp
-      movl sind_GR_rshf_2to61 = 0x47b8000000000000 // 1.1000 2^(63+63-2)
+      addl          sincos_AD_1         = @ltoff(double_sincos_pi), gp
+      movl sincos_GR_rshf_2to61         = 0x47b8000000000000 // 1.1 2^(63+63-2)
 }
 ;;
 
 { .mfi
-      ld8 sind_AD_1 = [sind_AD_1]
-      fnorm.s1     sind_NORM_f8  = f8
-      cmp.eq     p9,p8         = r0, r0
+      ld8           sincos_AD_1         = [sincos_AD_1]
+      fnorm.s1      sincos_NORM_f8      = f8 // Normalize argument
+      cmp.eq        p9,p8               = r0, r0 // set p9 (clear p8) for cos
 }
 { .mib
-      mov sind_GR_exp_2tom61 = 0xffff-61 // exponent of scaling factor 2^-61
-      mov            sind_r_sincos = 0x8
-      br.cond.sptk   L(SIND_SINCOS)
+      mov           sincos_GR_exp_2tom61  = 0xffff-61 // exp of scale 2^-61
+      mov           sincos_r_sincos       = 0x8 // sincos_r_sincos = 8 for cos
+      nop.b         999
 }
 ;;
 
-
 ////////////////////////////////////////////////////////
 // All entry points end up here.
-// If from sin, sind_r_sincos is 0 and p8 is true
-// If from cos, sind_r_sincos is 8 = 2^(k-1) and p9 is true
-// We add sind_r_sincos to N
+// If from sin, sincos_r_sincos is 0 and p8 is true
+// If from cos, sincos_r_sincos is 8 = 2^(k-1) and p9 is true
+// We add sincos_r_sincos to N
 
-L(SIND_SINCOS):
+///////////// Common sin and cos part //////////////////
+_SINCOS_COMMON:
 
 
 // Form two constants we need
@@ -488,3014 +466,320 @@ L(SIND_SINCOS):
 //  1.1000...000 * 2^(63+63-2) to right shift int(W) into the low significand
 // fcmp used to set denormal, and invalid on snans
 { .mfi
-      setf.sig sind_SIG_INV_PI_BY_16_2TO61 = sind_GR_sig_inv_pi_by_16
-      fcmp.eq.s0 p12,p0=f8,f0
-      mov       sind_r_17_ones    = 0x1ffff
+      setf.sig      sincos_SIG_INV_PI_BY_16_2TO61 = sincos_GR_sig_inv_pi_by_16
+      fclass.m      p6,p0                         = f8, 0xe7 // if x = 0,inf,nan
+      mov           sincos_exp_limit              = 0x1001a
 }
 { .mlx
-      setf.d sind_RSHF_2TO61 = sind_GR_rshf_2to61
-      movl sind_GR_rshf = 0x43e8000000000000 // 1.1000 2^63 for right shift
-}
+      setf.d        sincos_RSHF_2TO61   = sincos_GR_rshf_2to61
+      movl          sincos_GR_rshf      = 0x43e8000000000000 // 1.1 2^63
+}                                                            // Right shift
 ;;
 
 // Form another constant
 //  2^-61 for scaling Nfloat
-// 0x10009 is register_bias + 10.
-// So if f8 > 2^10 = Gamma, go to DBX
-{ .mfi
-      setf.exp sind_2TOM61 = sind_GR_exp_2tom61
-      fclass.m  p13,p0 = f8, 0x23           // Test for x inf
-      mov       sind_exp_limit = 0x10009
+// 0x1001a is register_bias + 27.
+// So if f8 >= 2^27, go to large argument routines
+{ .mmi
+      getf.exp      sincos_r_signexp    = f8
+      setf.exp      sincos_2TOM61       = sincos_GR_exp_2tom61
+      addl          gr_tmp              = -1,r0 // For "inexect" constant create
 }
 ;;
 
 // Load the two pieces of pi/16
 // Form another constant
 //  1.1000...000 * 2^63, the right shift constant
-{ .mmf
-      ldfe      sind_Pi_by_16_hi  = [sind_AD_1],16
-      setf.d sind_RSHF = sind_GR_rshf
-      fclass.m  p14,p0 = f8, 0xc3           // Test for x nan
-}
-;;
-
-{ .mfi
-      ldfe      sind_Pi_by_16_lo  = [sind_AD_1],16
-(p13) frcpa.s0 f8,p12=f0,f0               // force qnan indef for x=inf
-      addl gr_tmp = -1,r0
-}
-{ .mfb
-      addl           sind_AD_beta_table   = @ltoff(double_sin_cos_beta_k4), gp
-      nop.f 999
-(p13) br.ret.spnt    b0 ;;                // Exit for x=inf
-}
-
-// Start loading P, Q coefficients
-// SIN(0)
-{ .mfi
-      ldfpd      sind_P4,sind_Q4 = [sind_AD_1],16
-(p8)  fclass.m.unc  p6,p0 = f8, 0x07      // Test for sin(0)
-      nop.i 999
-}
-{ .mfb
-      addl           sind_AD_beta_table   = @ltoff(double_sin_cos_beta_k4), gp
-(p14) fma.d f8=f8,f1,f0                   // qnan for x=nan
-(p14) br.ret.spnt    b0 ;;                // Exit for x=nan
-}
-
-
-// COS(0)
-{ .mfi
-      getf.exp  sind_r_signexp    = f8
-(p9)  fclass.m.unc  p7,p0 = f8, 0x07      // Test for sin(0)
-      nop.i 999
-}
-{ .mfi
-      ld8 sind_AD_beta_table = [sind_AD_beta_table]
-      nop.f 999
-      nop.i 999 ;;
-}
-
 { .mmb
-      ldfpd      sind_P3,sind_Q3 = [sind_AD_1],16
-      setf.sig fp_tmp = gr_tmp // Create constant such that fmpy sets inexact
-(p6)  br.ret.spnt    b0 ;;
-}
-
-{ .mfb
-      and       sind_r_exp = sind_r_17_ones, sind_r_signexp
-(p7)  fmerge.s      f8 = f1,f1
-(p7)  br.ret.spnt    b0 ;;
-}
-
-// p10 is true if we must call routines to handle larger arguments
-// p10 is true if f8 exp is > 0x10009
-
-{ .mfi
-      ldfpd      sind_P2,sind_Q2 = [sind_AD_1],16
-      nop.f 999
-      cmp.ge  p10,p0 = sind_r_exp,sind_exp_limit
+      ldfe          sincos_Pi_by_16_1   = [sincos_AD_1],16
+      setf.d        sincos_RSHF         = sincos_GR_rshf
+(p6)  br.cond.spnt  _SINCOS_SPECIAL_ARGS
 }
 ;;
 
-// sind_W          = x * sind_Inv_Pi_by_16
-// Multiply x by scaled 16/pi and add large const to shift integer part of W to
-//   rightmost bits of significand
-{ .mfi
-      ldfpd      sind_P1,sind_Q1 = [sind_AD_1]
-      fma.s1 sind_W_2TO61_RSH = sind_NORM_f8,sind_SIG_INV_PI_BY_16_2TO61,sind_RSHF_2TO61
-      nop.i 999
-}
-{ .mbb
-(p10) cmp.ne.unc p11,p12=sind_r_sincos,r0  // p11 call __libm_cos_double_dbx
-                                           // p12 call __libm_sin_double_dbx
-(p11) br.cond.spnt L(COSD_DBX)
-(p12) br.cond.spnt L(SIND_DBX)
-}
-;;
-
-
-// sind_NFLOAT = Round_Int_Nearest(sind_W)
-// This is done by scaling back by 2^-61 and subtracting the shift constant
-{ .mfi
-      nop.m 999
-      fms.s1 sind_NFLOAT = sind_W_2TO61_RSH,sind_2TOM61,sind_RSHF
-      nop.i 999 ;;
-}
-
-
-// get N = (int)sind_int_Nfloat
-{ .mfi
-      getf.sig  sind_GR_n = sind_W_2TO61_RSH
-      nop.f 999
-      nop.i 999 ;;
-}
-
-// Add 2^(k-1) (which is in sind_r_sincos) to N
-// sind_r          = -sind_Nfloat * sind_Pi_by_16_hi + x
-// sind_r          = sind_r -sind_Nfloat * sind_Pi_by_16_lo
-{ .mfi
-      add       sind_GR_n = sind_GR_n, sind_r_sincos
-      fnma.s1  sind_r      = sind_NFLOAT, sind_Pi_by_16_hi, sind_NORM_f8
-      nop.i 999 ;;
-}
-
-
-// Get M (least k+1 bits of N)
 { .mmi
-      and       sind_GR_m = 0x1f,sind_GR_n ;;
-      nop.m 999
-      shl       sind_GR_32m = sind_GR_m,5 ;;
-}
-
-// Add 32*M to address of sin_cos_beta table
-{ .mmi
-      add       sind_AD_2 = sind_GR_32m, sind_AD_beta_table
-      nop.m 999
-      nop.i 999 ;;
-}
-
-{ .mfi
-      ldfe      sind_Sm = [sind_AD_2],16
-(p8)  fclass.m.unc p10,p0=f8,0x0b  // If sin, note denormal input to set uflow
-      nop.i 999 ;;
-}
-
-{ .mfi
-      ldfe      sind_Cm = [sind_AD_2]
-      fnma.s1  sind_r      = sind_NFLOAT, sind_Pi_by_16_lo,  sind_r
-      nop.i 999 ;;
-}
-
-// get rsq
-{ .mfi
-      nop.m 999
-      fma.s1   sind_rsq  = sind_r, sind_r,   f0
-      nop.i 999
-}
-{ .mfi
-      nop.m 999
-      fmpy.s0  fp_tmp = fp_tmp,fp_tmp // fmpy forces inexact flag
-      nop.i 999 ;;
-}
-
-// form P and Q series
-{ .mfi
-      nop.m 999
-      fma.s1      sind_P_temp1 = sind_rsq, sind_P4, sind_P3
-      nop.i 999
-}
-
-{ .mfi
-      nop.m 999
-      fma.s1      sind_Q_temp1 = sind_rsq, sind_Q4, sind_Q3
-      nop.i 999 ;;
-}
-
-// get rcube and sm*rsq
-{ .mfi
-      nop.m 999
-      fmpy.s1     sind_srsq    = sind_Sm,sind_rsq
-      nop.i 999
-}
-
-{ .mfi
-      nop.m 999
-      fmpy.s1     sind_rcub    = sind_r, sind_rsq
-      nop.i 999 ;;
-}
-
-{ .mfi
-      nop.m 999
-      fma.s1      sind_Q_temp2 = sind_rsq, sind_Q_temp1, sind_Q2
-      nop.i 999
-}
-
-{ .mfi
-      nop.m 999
-      fma.s1      sind_P_temp2 = sind_rsq, sind_P_temp1, sind_P2
-      nop.i 999 ;;
-}
-
-{ .mfi
-      nop.m 999
-      fma.s1      sind_Q       = sind_rsq, sind_Q_temp2, sind_Q1
-      nop.i 999
-}
-
-{ .mfi
-      nop.m 999
-      fma.s1      sind_P       = sind_rsq, sind_P_temp2, sind_P1
-      nop.i 999 ;;
-}
-
-// Get final P and Q
-{ .mfi
-      nop.m 999
-      fma.s1   sind_Q = sind_srsq,sind_Q, sind_Sm
-      nop.i 999
-}
-
-{ .mfi
-      nop.m 999
-      fma.s1   sind_P = sind_rcub,sind_P, sind_r
-      nop.i 999 ;;
-}
-
-// If sin(denormal), force inexact to be set
-{ .mfi
-      nop.m 999
-(p10) fmpy.d.s0 fp_tmp = f8,f8
-      nop.i 999 ;;
-}
-
-// Final calculation
-{ .mfb
-      nop.m 999
-      fma.d    f8     = sind_Cm, sind_P, sind_Q
-      br.ret.sptk    b0 ;;
-}
-.endp cos#
-ASM_SIZE_DIRECTIVE(cos#)
-
-
-
-.proc __libm_callout_1s
-__libm_callout_1s:
-L(SIND_DBX):
-.prologue
-{ .mfi
-        nop.m 0
-        nop.f 0
-.save   ar.pfs,GR_SAVE_PFS
-        mov  GR_SAVE_PFS=ar.pfs
-}
-;;
-
-{ .mfi
-        mov GR_SAVE_GP=gp
-        nop.f 0
-.save   b0, GR_SAVE_B0
-        mov GR_SAVE_B0=b0
-}
-
-.body
-{ .mib
-      nop.m 999
-      nop.i 999
-      br.call.sptk.many   b0=__libm_sin_double_dbx# ;;
-}
-;;
-
-
-{ .mfi
-       mov gp        = GR_SAVE_GP
-       nop.f  999
-       mov b0        = GR_SAVE_B0
-}
-;;
-
-{ .mib
-      nop.m 999
-      mov ar.pfs    = GR_SAVE_PFS
-      br.ret.sptk     b0 ;;
-}
-.endp  __libm_callout_1s
-ASM_SIZE_DIRECTIVE(__libm_callout_1s)
-
-
-.proc __libm_callout_1c
-__libm_callout_1c:
-L(COSD_DBX):
-.prologue
-{ .mfi
-        nop.m 0
-        nop.f 0
-.save   ar.pfs,GR_SAVE_PFS
-        mov  GR_SAVE_PFS=ar.pfs
-}
-;;
-
-{ .mfi
-        mov GR_SAVE_GP=gp
-        nop.f 0
-.save   b0, GR_SAVE_B0
-        mov GR_SAVE_B0=b0
-}
-
-.body
-{ .mib
-      nop.m 999
-      nop.i 999
-      br.call.sptk.many   b0=__libm_cos_double_dbx# ;;
-}
-;;
-
+      ldfe          sincos_Pi_by_16_2   = [sincos_AD_1],16
+      setf.sig      fp_tmp              = gr_tmp // constant for inexact set
+      nop.i         999
+};;
 
 { .mfi
-       mov gp        = GR_SAVE_GP
-       nop.f  999
-       mov b0        = GR_SAVE_B0
-}
-;;
-
-{ .mib
-      nop.m 999
-      mov ar.pfs    = GR_SAVE_PFS
-      br.ret.sptk     b0 ;;
-}
-.endp  __libm_callout_1c
-ASM_SIZE_DIRECTIVE(__libm_callout_1c)
-
-
-// ====================================================================
-// ====================================================================
-
-// These functions calculate the sin and cos for inputs
-// greater than 2^10
-// __libm_sin_double_dbx# and __libm_cos_double_dbx#
-
-// *********************************************************************
-// *********************************************************************
-//
-// Function:   Combined sin(x) and cos(x), where
-//
-//             sin(x) = sine(x), for double precision x values
-//             cos(x) = cosine(x), for double precision x values
-//
-// *********************************************************************
-//
-// Accuracy:       Within .7 ulps for 80-bit floating point values
-//                 Very accurate for double precision values
-//
-// *********************************************************************
-//
-// Resources Used:
-//
-//    Floating-Point Registers: f8 (Input and Return Value)
-//                              f32-f99
-//
-//    General Purpose Registers:
-//      r32-r43
-//      r44-r45 (Used to pass arguments to pi_by_2 reduce routine)
-//
-//    Predicate Registers:      p6-p13
-//
-// *********************************************************************
-//
-//  IEEE Special Conditions:
-//
-//    Denormal  fault raised on denormal inputs
-//    Overflow exceptions do not occur
-//    Underflow exceptions raised when appropriate for sin
-//    (No specialized error handling for this routine)
-//    Inexact raised when appropriate by algorithm
-//
-//    sin(SNaN) = QNaN
-//    sin(QNaN) = QNaN
-//    sin(inf) = QNaN
-//    sin(+/-0) = +/-0
-//    cos(inf) = QNaN
-//    cos(SNaN) = QNaN
-//    cos(QNaN) = QNaN
-//    cos(0) = 1
-//
-// *********************************************************************
-//
-//  Mathematical Description
-//  ========================
-//
-//  The computation of FSIN and FCOS is best handled in one piece of
-//  code. The main reason is that given any argument Arg, computation
-//  of trigonometric functions first calculate N and an approximation
-//  to alpha where
-//
-//  Arg = N pi/2 + alpha, |alpha| <= pi/4.
-//
-//  Since
-//
-//  cos( Arg ) = sin( (N+1) pi/2 + alpha ),
-//
-//  therefore, the code for computing sine will produce cosine as long
-//  as 1 is added to N immediately after the argument reduction
-//  process.
-//
-//  Let M = N if sine
-//      N+1 if cosine.
-//
-//  Now, given
-//
-//  Arg = M pi/2  + alpha, |alpha| <= pi/4,
-//
-//  let I = M mod 4, or I be the two lsb of M when M is represented
-//  as 2's complement. I = [i_0 i_1]. Then
-//
-//  sin( Arg ) = (-1)^i_0  sin( alpha )	if i_1 = 0,
-//             = (-1)^i_0  cos( alpha )     if i_1 = 1.
-//
-//  For example:
-//       if M = -1, I = 11
-//         sin ((-pi/2 + alpha) = (-1) cos (alpha)
-//       if M = 0, I = 00
-//         sin (alpha) = sin (alpha)
-//       if M = 1, I = 01
-//         sin (pi/2 + alpha) = cos (alpha)
-//       if M = 2, I = 10
-//         sin (pi + alpha) = (-1) sin (alpha)
-//       if M = 3, I = 11
-//         sin ((3/2)pi + alpha) = (-1) cos (alpha)
-//
-//  The value of alpha is obtained by argument reduction and
-//  represented by two working precision numbers r and c where
-//
-//  alpha =  r  +  c     accurately.
-//
-//  The reduction method is described in a previous write up.
-//  The argument reduction scheme identifies 4 cases. For Cases 2
-//  and 4, because |alpha| is small, sin(r+c) and cos(r+c) can be
-//  computed very easily by 2 or 3 terms of the Taylor series
-//  expansion as follows:
-//
-//  Case 2:
-//  -------
-//
-//  sin(r + c) = r + c - r^3/6	accurately
-//  cos(r + c) = 1 - 2^(-67)	accurately
-//
-//  Case 4:
-//  -------
-//
-//  sin(r + c) = r + c - r^3/6 + r^5/120	accurately
-//  cos(r + c) = 1 - r^2/2 + r^4/24		accurately
-//
-//  The only cases left are Cases 1 and 3 of the argument reduction
-//  procedure. These two cases will be merged since after the
-//  argument is reduced in either cases, we have the reduced argument
-//  represented as r + c and that the magnitude |r + c| is not small
-//  enough to allow the usage of a very short approximation.
-//
-//  The required calculation is either
-//
-//  sin(r + c)  =  sin(r)  +  correction,  or
-//  cos(r + c)  =  cos(r)  +  correction.
-//
-//  Specifically,
-//
-//	sin(r + c) = sin(r) + c sin'(r) + O(c^2)
-//		   = sin(r) + c cos (r) + O(c^2)
-//		   = sin(r) + c(1 - r^2/2)  accurately.
-//  Similarly,
-//
-//	cos(r + c) = cos(r) - c sin(r) + O(c^2)
-//		   = cos(r) - c(r - r^3/6)  accurately.
-//
-//  We therefore concentrate on accurately calculating sin(r) and
-//  cos(r) for a working-precision number r, |r| <= pi/4 to within
-//  0.1% or so.
-//
-//  The greatest challenge of this task is that the second terms of
-//  the Taylor series
-//
-//	r - r^3/3! + r^r/5! - ...
-//
-//  and
-//
-//	1 - r^2/2! + r^4/4! - ...
-//
-//  are not very small when |r| is close to pi/4 and the rounding
-//  errors will be a concern if simple polynomial accumulation is
-//  used. When |r| < 2^-3, however, the second terms will be small
-//  enough (6 bits or so of right shift) that a normal Horner
-//  recurrence suffices. Hence there are two cases that we consider
-//  in the accurate computation of sin(r) and cos(r), |r| <= pi/4.
-//
-//  Case small_r: |r| < 2^(-3)
-//  --------------------------
-//
-//  Since Arg = M pi/4 + r + c accurately, and M mod 4 is [i_0 i_1],
-//  we have
-//
-//	sin(Arg) = (-1)^i_0 * sin(r + c)	if i_1 = 0
-//		 = (-1)^i_0 * cos(r + c) 	if i_1 = 1
-//
-//  can be accurately approximated by
-//
-//  sin(Arg) = (-1)^i_0 * [sin(r) + c]	if i_1 = 0
-//           = (-1)^i_0 * [cos(r) - c*r] if i_1 = 1
-//
-//  because |r| is small and thus the second terms in the correction
-//  are unneccessary.
-//
-//  Finally, sin(r) and cos(r) are approximated by polynomials of
-//  moderate lengths.
-//
-//  sin(r) =  r + S_1 r^3 + S_2 r^5 + ... + S_5 r^11
-//  cos(r) =  1 + C_1 r^2 + C_2 r^4 + ... + C_5 r^10
-//
-//  We can make use of predicates to selectively calculate
-//  sin(r) or cos(r) based on i_1.
-//
-//  Case normal_r: 2^(-3) <= |r| <= pi/4
-//  ------------------------------------
-//
-//  This case is more likely than the previous one if one considers
-//  r to be uniformly distributed in [-pi/4 pi/4]. Again,
-//
-//  sin(Arg) = (-1)^i_0 * sin(r + c)	if i_1 = 0
-//           = (-1)^i_0 * cos(r + c) 	if i_1 = 1.
-//
-//  Because |r| is now larger, we need one extra term in the
-//  correction. sin(Arg) can be accurately approximated by
-//
-//  sin(Arg) = (-1)^i_0 * [sin(r) + c(1-r^2/2)]      if i_1 = 0
-//           = (-1)^i_0 * [cos(r) - c*r*(1 - r^2/6)]    i_1 = 1.
-//
-//  Finally, sin(r) and cos(r) are approximated by polynomials of
-//  moderate lengths.
-//
-//	sin(r) =  r + PP_1_hi r^3 + PP_1_lo r^3 +
-//	              PP_2 r^5 + ... + PP_8 r^17
-//
-//	cos(r) =  1 + QQ_1 r^2 + QQ_2 r^4 + ... + QQ_8 r^16
-//
-//  where PP_1_hi is only about 16 bits long and QQ_1 is -1/2.
-//  The crux in accurate computation is to calculate
-//
-//  r + PP_1_hi r^3   or  1 + QQ_1 r^2
-//
-//  accurately as two pieces: U_hi and U_lo. The way to achieve this
-//  is to obtain r_hi as a 10 sig. bit number that approximates r to
-//  roughly 8 bits or so of accuracy. (One convenient way is
-//
-//  r_hi := frcpa( frcpa( r ) ).)
-//
-//  This way,
-//
-//	r + PP_1_hi r^3 =  r + PP_1_hi r_hi^3 +
-//	                        PP_1_hi (r^3 - r_hi^3)
-//		        =  [r + PP_1_hi r_hi^3]  +
-//			   [PP_1_hi (r - r_hi)
-//			      (r^2 + r_hi r + r_hi^2) ]
-//		        =  U_hi  +  U_lo
-//
-//  Since r_hi is only 10 bit long and PP_1_hi is only 16 bit long,
-//  PP_1_hi * r_hi^3 is only at most 46 bit long and thus computed
-//  exactly. Furthermore, r and PP_1_hi r_hi^3 are of opposite sign
-//  and that there is no more than 8 bit shift off between r and
-//  PP_1_hi * r_hi^3. Hence the sum, U_hi, is representable and thus
-//  calculated without any error. Finally, the fact that
-//
-//	|U_lo| <= 2^(-8) |U_hi|
-//
-//  says that U_hi + U_lo is approximating r + PP_1_hi r^3 to roughly
-//  8 extra bits of accuracy.
-//
-//  Similarly,
-//
-//	1 + QQ_1 r^2  =  [1 + QQ_1 r_hi^2]  +
-//	                    [QQ_1 (r - r_hi)(r + r_hi)]
-//		      =  U_hi  +  U_lo.
-//
-//  Summarizing, we calculate r_hi = frcpa( frcpa( r ) ).
-//
-//  If i_1 = 0, then
-//
-//    U_hi := r + PP_1_hi * r_hi^3
-//    U_lo := PP_1_hi * (r - r_hi) * (r^2 + r*r_hi + r_hi^2)
-//    poly := PP_1_lo r^3 + PP_2 r^5 + ... + PP_8 r^17
-//    correction := c * ( 1 + C_1 r^2 )
-//
-//  Else ...i_1 = 1
-//
-//    U_hi := 1 + QQ_1 * r_hi * r_hi
-//    U_lo := QQ_1 * (r - r_hi) * (r + r_hi)
-//    poly := QQ_2 * r^4 + QQ_3 * r^6 + ... + QQ_8 r^16
-//    correction := -c * r * (1 + S_1 * r^2)
-//
-//  End
-//
-//  Finally,
-//
-//	V := poly + ( U_lo + correction )
-//
-//                 /    U_hi  +  V         if i_0 = 0
-//	result := |
-//                 \  (-U_hi) -  V         if i_0 = 1
-//
-//  It is important that in the last step, negation of U_hi is
-//  performed prior to the subtraction which is to be performed in
-//  the user-set rounding mode.
-//
-//
-//  Algorithmic Description
-//  =======================
-//
-//  The argument reduction algorithm is tightly integrated into FSIN
-//  and FCOS which share the same code. The following is complete and
-//  self-contained. The argument reduction description given
-//  previously is repeated below.
-//
-//
-//  Step 0. Initialization.
-//
-//   If FSIN is invoked, set N_inc := 0; else if FCOS is invoked,
-//   set N_inc := 1.
-//
-//  Step 1. Check for exceptional and special cases.
-//
-//   * If Arg is +-0, +-inf, NaN, NaT, go to Step 10 for special
-//     handling.
-//   * If |Arg| < 2^24, go to Step 2 for reduction of moderate
-//     arguments. This is the most likely case.
-//   * If |Arg| < 2^63, go to Step 8 for pre-reduction of large
-//     arguments.
-//   * If |Arg| >= 2^63, go to Step 10 for special handling.
-//
-//  Step 2. Reduction of moderate arguments.
-//
-//  If |Arg| < pi/4 	...quick branch
-//     N_fix := N_inc	(integer)
-//     r     := Arg
-//     c     := 0.0
-//     Branch to Step 4, Case_1_complete
-//  Else 		...cf. argument reduction
-//     N     := Arg * two_by_PI	(fp)
-//     N_fix := fcvt.fx( N )	(int)
-//     N     := fcvt.xf( N_fix )
-//     N_fix := N_fix + N_inc
-//     s     := Arg - N * P_1	(first piece of pi/2)
-//     w     := -N * P_2	(second piece of pi/2)
-//
-//     If |s| >= 2^(-33)
-//        go to Step 3, Case_1_reduce
-//     Else
-//        go to Step 7, Case_2_reduce
-//     Endif
-//  Endif
-//
-//  Step 3. Case_1_reduce.
-//
-//  r := s + w
-//  c := (s - r) + w	...observe order
-//
-//  Step 4. Case_1_complete
-//
-//  ...At this point, the reduced argument alpha is
-//  ...accurately represented as r + c.
-//  If |r| < 2^(-3), go to Step 6, small_r.
-//
-//  Step 5. Normal_r.
-//
-//  Let [i_0 i_1] by the 2 lsb of N_fix.
-//  FR_rsq  := r * r
-//  r_hi := frcpa( frcpa( r ) )
-//  r_lo := r - r_hi
-//
-//  If i_1 = 0, then
-//    poly := r*FR_rsq*(PP_1_lo + FR_rsq*(PP_2 + ... FR_rsq*PP_8))
-//    U_hi := r + PP_1_hi*r_hi*r_hi*r_hi	...any order
-//    U_lo := PP_1_hi*r_lo*(r*r + r*r_hi + r_hi*r_hi)
-//    correction := c + c*C_1*FR_rsq		...any order
-//  Else
-//    poly := FR_rsq*FR_rsq*(QQ_2 + FR_rsq*(QQ_3 + ... + FR_rsq*QQ_8))
-//    U_hi := 1 + QQ_1 * r_hi * r_hi		...any order
-//    U_lo := QQ_1 * r_lo * (r + r_hi)
-//    correction := -c*(r + S_1*FR_rsq*r)	...any order
-//  Endif
-//
-//  V := poly + (U_lo + correction)	...observe order
-//
-//  result := (i_0 == 0?   1.0 : -1.0)
-//
-//  Last instruction in user-set rounding mode
-//
-//  result := (i_0 == 0?   result*U_hi + V :
-//                        result*U_hi - V)
-//
-//  Return
-//
-//  Step 6. Small_r.
-//
-//  ...Use flush to zero mode without causing exception
-//    Let [i_0 i_1] be the two lsb of N_fix.
-//
-//  FR_rsq := r * r
-//
-//  If i_1 = 0 then
-//     z := FR_rsq*FR_rsq; z := FR_rsq*z *r
-//     poly_lo := S_3 + FR_rsq*(S_4 + FR_rsq*S_5)
-//     poly_hi := r*FR_rsq*(S_1 + FR_rsq*S_2)
-//     correction := c
-//     result := r
-//  Else
-//     z := FR_rsq*FR_rsq; z := FR_rsq*z
-//     poly_lo := C_3 + FR_rsq*(C_4 + FR_rsq*C_5)
-//     poly_hi := FR_rsq*(C_1 + FR_rsq*C_2)
-//     correction := -c*r
-//     result := 1
-//  Endif
-//
-//  poly := poly_hi + (z * poly_lo + correction)
-//
-//  If i_0 = 1, result := -result
-//
-//  Last operation. Perform in user-set rounding mode
-//
-//  result := (i_0 == 0?     result + poly :
-//                          result - poly )
-//  Return
-//
-//  Step 7. Case_2_reduce.
-//
-//  ...Refer to the write up for argument reduction for
-//  ...rationale. The reduction algorithm below is taken from
-//  ...argument reduction description and integrated this.
-//
-//  w := N*P_3
-//  U_1 := N*P_2 + w		...FMA
-//  U_2 := (N*P_2 - U_1) + w	...2 FMA
-//  ...U_1 + U_2 is  N*(P_2+P_3) accurately
-//
-//  r := s - U_1
-//  c := ( (s - r) - U_1 ) - U_2
-//
-//  ...The mathematical sum r + c approximates the reduced
-//  ...argument accurately. Note that although compared to
-//  ...Case 1, this case requires much more work to reduce
-//  ...the argument, the subsequent calculation needed for
-//  ...any of the trigonometric function is very little because
-//  ...|alpha| < 1.01*2^(-33) and thus two terms of the
-//  ...Taylor series expansion suffices.
-//
-//  If i_1 = 0 then
-//     poly := c + S_1 * r * r * r	...any order
-//     result := r
-//  Else
-//     poly := -2^(-67)
-//     result := 1.0
-//  Endif
-//
-//  If i_0 = 1, result := -result
-//
-//  Last operation. Perform in user-set rounding mode
-//
-//  result := (i_0 == 0?     result + poly :
-//                           result - poly )
-//
-//  Return
-//
-//
-//  Step 8. Pre-reduction of large arguments.
-//
-//  ...Again, the following reduction procedure was described
-//  ...in the separate write up for argument reduction, which
-//  ...is tightly integrated here.
-
-//  N_0 := Arg * Inv_P_0
-//  N_0_fix := fcvt.fx( N_0 )
-//  N_0 := fcvt.xf( N_0_fix)
-
-//  Arg' := Arg - N_0 * P_0
-//  w := N_0 * d_1
-//  N := Arg' * two_by_PI
-//  N_fix := fcvt.fx( N )
-//  N := fcvt.xf( N_fix )
-//  N_fix := N_fix + N_inc
-//
-//  s := Arg' - N * P_1
-//  w := w - N * P_2
-//
-//  If |s| >= 2^(-14)
-//     go to Step 3
-//  Else
-//     go to Step 9
-//  Endif
-//
-//  Step 9. Case_4_reduce.
-//
-//    ...first obtain N_0*d_1 and -N*P_2 accurately
-//   U_hi := N_0 * d_1		V_hi := -N*P_2
-//   U_lo := N_0 * d_1 - U_hi	V_lo := -N*P_2 - U_hi	...FMAs
-//
-//   ...compute the contribution from N_0*d_1 and -N*P_3
-//   w := -N*P_3
-//   w := w + N_0*d_2
-//   t := U_lo + V_lo + w		...any order
-//
-//   ...at this point, the mathematical value
-//   ...s + U_hi + V_hi  + t approximates the true reduced argument
-//   ...accurately. Just need to compute this accurately.
-//
-//   ...Calculate U_hi + V_hi accurately:
-//   A := U_hi + V_hi
-//   if |U_hi| >= |V_hi| then
-//      a := (U_hi - A) + V_hi
-//   else
-//      a := (V_hi - A) + U_hi
-//   endif
-//   ...order in computing "a" must be observed. This branch is
-//   ...best implemented by predicates.
-//   ...A + a  is U_hi + V_hi accurately. Moreover, "a" is
-//   ...much smaller than A: |a| <= (1/2)ulp(A).
-//
-//   ...Just need to calculate   s + A + a + t
-//   C_hi := s + A		t := t + a
-//   C_lo := (s - C_hi) + A
-//   C_lo := C_lo + t
-//
-//   ...Final steps for reduction
-//   r := C_hi + C_lo
-//   c := (C_hi - r) + C_lo
-//
-//   ...At this point, we have r and c
-//   ...And all we need is a couple of terms of the corresponding
-//   ...Taylor series.
-//
-//   If i_1 = 0
-//      poly := c + r*FR_rsq*(S_1 + FR_rsq*S_2)
-//      result := r
-//   Else
-//      poly := FR_rsq*(C_1 + FR_rsq*C_2)
-//      result := 1
-//   Endif
-//
-//   If i_0 = 1, result := -result
-//
-//   Last operation. Perform in user-set rounding mode
-//
-//   result := (i_0 == 0?     result + poly :
-//                            result - poly )
-//   Return
-//
-//   Large Arguments: For arguments above 2**63, a Payne-Hanek
-//   style argument reduction is used and pi_by_2 reduce is called.
-//
-
-
-#ifdef _LIBC
-.rodata
-#else
-.data
-#endif
-.align 64
-
-FSINCOS_CONSTANTS:
-ASM_TYPE_DIRECTIVE(FSINCOS_CONSTANTS,@object)
-data4 0x4B800000, 0xCB800000, 0x00000000,0x00000000 // two**24, -two**24
-data4 0x4E44152A, 0xA2F9836E, 0x00003FFE,0x00000000 // Inv_pi_by_2
-data4 0xCE81B9F1, 0xC84D32B0, 0x00004016,0x00000000 // P_0
-data4 0x2168C235, 0xC90FDAA2, 0x00003FFF,0x00000000 // P_1
-data4 0xFC8F8CBB, 0xECE675D1, 0x0000BFBD,0x00000000 // P_2
-data4 0xACC19C60, 0xB7ED8FBB, 0x0000BF7C,0x00000000 // P_3
-data4 0x5F000000, 0xDF000000, 0x00000000,0x00000000 // two_to_63, -two_to_63
-data4 0x6EC6B45A, 0xA397E504, 0x00003FE7,0x00000000 // Inv_P_0
-data4 0xDBD171A1, 0x8D848E89, 0x0000BFBF,0x00000000 // d_1
-data4 0x18A66F8E, 0xD5394C36, 0x0000BF7C,0x00000000 // d_2
-data4 0x2168C234, 0xC90FDAA2, 0x00003FFE,0x00000000 // pi_by_4
-data4 0x2168C234, 0xC90FDAA2, 0x0000BFFE,0x00000000 // neg_pi_by_4
-data4 0x3E000000, 0xBE000000, 0x00000000,0x00000000 // two**-3, -two**-3
-data4 0x2F000000, 0xAF000000, 0x9E000000,0x00000000 // two**-33, -two**-33, -two**-67
-data4 0xA21C0BC9, 0xCC8ABEBC, 0x00003FCE,0x00000000 // PP_8
-data4 0x720221DA, 0xD7468A05, 0x0000BFD6,0x00000000 // PP_7
-data4 0x640AD517, 0xB092382F, 0x00003FDE,0x00000000 // PP_6
-data4 0xD1EB75A4, 0xD7322B47, 0x0000BFE5,0x00000000 // PP_5
-data4 0xFFFFFFFE, 0xFFFFFFFF, 0x0000BFFD,0x00000000 // C_1
-data4 0x00000000, 0xAAAA0000, 0x0000BFFC,0x00000000 // PP_1_hi
-data4 0xBAF69EEA, 0xB8EF1D2A, 0x00003FEC,0x00000000 // PP_4
-data4 0x0D03BB69, 0xD00D00D0, 0x0000BFF2,0x00000000 // PP_3
-data4 0x88888962, 0x88888888, 0x00003FF8,0x00000000 // PP_2
-data4 0xAAAB0000, 0xAAAAAAAA, 0x0000BFEC,0x00000000 // PP_1_lo
-data4 0xC2B0FE52, 0xD56232EF, 0x00003FD2,0x00000000 // QQ_8
-data4 0x2B48DCA6, 0xC9C99ABA, 0x0000BFDA,0x00000000 // QQ_7
-data4 0x9C716658, 0x8F76C650, 0x00003FE2,0x00000000 // QQ_6
-data4 0xFDA8D0FC, 0x93F27DBA, 0x0000BFE9,0x00000000 // QQ_5
-data4 0xAAAAAAAA, 0xAAAAAAAA, 0x0000BFFC,0x00000000 // S_1
-data4 0x00000000, 0x80000000, 0x0000BFFE,0x00000000 // QQ_1
-data4 0x0C6E5041, 0xD00D00D0, 0x00003FEF,0x00000000 // QQ_4
-data4 0x0B607F60, 0xB60B60B6, 0x0000BFF5,0x00000000 // QQ_3
-data4 0xAAAAAA9B, 0xAAAAAAAA, 0x00003FFA,0x00000000 // QQ_2
-data4 0xFFFFFFFE, 0xFFFFFFFF, 0x0000BFFD,0x00000000 // C_1
-data4 0xAAAA719F, 0xAAAAAAAA, 0x00003FFA,0x00000000 // C_2
-data4 0x0356F994, 0xB60B60B6, 0x0000BFF5,0x00000000 // C_3
-data4 0xB2385EA9, 0xD00CFFD5, 0x00003FEF,0x00000000 // C_4
-data4 0x292A14CD, 0x93E4BD18, 0x0000BFE9,0x00000000 // C_5
-data4 0xAAAAAAAA, 0xAAAAAAAA, 0x0000BFFC,0x00000000 // S_1
-data4 0x888868DB, 0x88888888, 0x00003FF8,0x00000000 // S_2
-data4 0x055EFD4B, 0xD00D00D0, 0x0000BFF2,0x00000000 // S_3
-data4 0x839730B9, 0xB8EF1C5D, 0x00003FEC,0x00000000 // S_4
-data4 0xE5B3F492, 0xD71EA3A4, 0x0000BFE5,0x00000000 // S_5
-data4 0x38800000, 0xB8800000, 0x00000000            // two**-14, -two**-14
-ASM_SIZE_DIRECTIVE(FSINCOS_CONSTANTS)
-
-FR_Input_X        = f8
-FR_Neg_Two_to_M3  = f32
-FR_Two_to_63      = f32
-FR_Two_to_24      = f33
-FR_Pi_by_4        = f33
-FR_Two_to_M14     = f34
-FR_Two_to_M33     = f35
-FR_Neg_Two_to_24  = f36
-FR_Neg_Pi_by_4    = f36
-FR_Neg_Two_to_M14 = f37
-FR_Neg_Two_to_M33 = f38
-FR_Neg_Two_to_M67 = f39
-FR_Inv_pi_by_2    = f40
-FR_N_float        = f41
-FR_N_fix          = f42
-FR_P_1            = f43
-FR_P_2            = f44
-FR_P_3            = f45
-FR_s              = f46
-FR_w              = f47
-FR_c              = f48
-FR_r              = f49
-FR_Z              = f50
-FR_A              = f51
-FR_a              = f52
-FR_t              = f53
-FR_U_1            = f54
-FR_U_2            = f55
-FR_C_1            = f56
-FR_C_2            = f57
-FR_C_3            = f58
-FR_C_4            = f59
-FR_C_5            = f60
-FR_S_1            = f61
-FR_S_2            = f62
-FR_S_3            = f63
-FR_S_4            = f64
-FR_S_5            = f65
-FR_poly_hi        = f66
-FR_poly_lo        = f67
-FR_r_hi           = f68
-FR_r_lo           = f69
-FR_rsq            = f70
-FR_r_cubed        = f71
-FR_C_hi           = f72
-FR_N_0            = f73
-FR_d_1            = f74
-FR_V              = f75
-FR_V_hi           = f75
-FR_V_lo           = f76
-FR_U_hi           = f77
-FR_U_lo           = f78
-FR_U_hiabs        = f79
-FR_V_hiabs        = f80
-FR_PP_8           = f81
-FR_QQ_8           = f81
-FR_PP_7           = f82
-FR_QQ_7           = f82
-FR_PP_6           = f83
-FR_QQ_6           = f83
-FR_PP_5           = f84
-FR_QQ_5           = f84
-FR_PP_4           = f85
-FR_QQ_4           = f85
-FR_PP_3           = f86
-FR_QQ_3           = f86
-FR_PP_2           = f87
-FR_QQ_2           = f87
-FR_QQ_1           = f88
-FR_N_0_fix        = f89
-FR_Inv_P_0        = f90
-FR_corr           = f91
-FR_poly           = f92
-FR_d_2            = f93
-FR_Two_to_M3      = f94
-FR_Neg_Two_to_63  = f94
-FR_P_0            = f95
-FR_C_lo           = f96
-FR_PP_1           = f97
-FR_PP_1_lo        = f98
-FR_ArgPrime       = f99
-
-GR_Table_Base  = r32
-GR_Table_Base1 = r33
-GR_i_0         = r34
-GR_i_1         = r35
-GR_N_Inc       = r36
-GR_Sin_or_Cos  = r37
-
-GR_SAVE_B0     = r39
-GR_SAVE_GP     = r40
-GR_SAVE_PFS    = r41
-
-.section .text
-.proc __libm_sin_double_dbx#
-.align 64
-__libm_sin_double_dbx:
-
-{ .mlx
-alloc GR_Table_Base = ar.pfs,0,12,2,0
-       movl GR_Sin_or_Cos = 0x0 ;;
-}
-
-{ .mmi
-      nop.m 999
-      addl           GR_Table_Base   = @ltoff(FSINCOS_CONSTANTS#), gp
-      nop.i 999
-}
-;;
-
-{ .mmi
-      ld8 GR_Table_Base = [GR_Table_Base]
-      nop.m 999
-      nop.i 999
-}
-;;
-
-
-{ .mib
-      nop.m 999
-      nop.i 999
-       br.cond.sptk L(SINCOS_CONTINUE) ;;
-}
-
-.endp __libm_sin_double_dbx#
-ASM_SIZE_DIRECTIVE(__libm_sin_double_dbx)
-
-.section .text
-.proc __libm_cos_double_dbx#
-__libm_cos_double_dbx:
-
-{ .mlx
-alloc GR_Table_Base= ar.pfs,0,12,2,0
-       movl GR_Sin_or_Cos = 0x1 ;;
-}
-
-{ .mmi
-      nop.m 999
-      addl           GR_Table_Base   = @ltoff(FSINCOS_CONSTANTS#), gp
-      nop.i 999
-}
-;;
+      ldfe          sincos_Pi_by_16_3   = [sincos_AD_1],16
+      nop.f         999
+      nop.i         999
+};;
 
+// Polynomial coefficients (Q4, P4, Q3, P3, Q2, Q1, P2, P1) loading
 { .mmi
-      ld8 GR_Table_Base = [GR_Table_Base]
-      nop.m 999
-      nop.i 999
-}
-;;
-
-//
-//     Load Table Address
-//
-L(SINCOS_CONTINUE):
+      ldfpd         sincos_P4,sincos_Q4 = [sincos_AD_1],16
+      nop.m         999
+      nop.i         999
+};;
 
+// Select exponent (17 lsb)
 { .mmi
-       add GR_Table_Base1 = 96, GR_Table_Base
-       ldfs	FR_Two_to_24 = [GR_Table_Base], 4
-       nop.i 999
+      ldfpd         sincos_P3,sincos_Q3 = [sincos_AD_1],16
+      nop.m         999
+      dep.z         sincos_r_exp        = sincos_r_signexp, 0, 17 
 }
 ;;
 
-{ .mmi
-      nop.m 999
-//
-//     Load 2**24, load 2**63.
-//
-       ldfs	FR_Neg_Two_to_24 = [GR_Table_Base], 12
-       mov   r41 = ar.pfs ;;
-}
-
-{ .mfi
-       ldfs	FR_Two_to_63 = [GR_Table_Base1], 4
-//
-//     Check for unnormals - unsupported operands. We do not want
-//     to generate denormal exception
-//     Check for NatVals, QNaNs, SNaNs, +/-Infs
-//     Check for EM unsupporteds
-//     Check for Zero
-//
-       fclass.m.unc  p6, p8 =  FR_Input_X, 0x1E3
-       mov   r40 = gp ;;
-}
-
-{ .mfi
-      nop.m 999
-       fclass.nm.unc p8, p0 =  FR_Input_X, 0x1FF
-// GR_Sin_or_Cos denotes
-       mov   r39 = b0
-}
-
-{ .mfb
-       ldfs	FR_Neg_Two_to_63 = [GR_Table_Base1], 12
-       fclass.m.unc p10, p0 = FR_Input_X, 0x007
-(p6)   br.cond.spnt L(SINCOS_SPECIAL) ;;
-}
-
-{ .mib
-      nop.m 999
-      nop.i 999
-(p8)   br.cond.spnt L(SINCOS_SPECIAL) ;;
-}
-
-{ .mib
-      nop.m 999
-      nop.i 999
-//
-//     Branch if +/- NaN, Inf.
-//     Load -2**24, load -2**63.
-//
-(p10)  br.cond.spnt L(SINCOS_ZERO) ;;
-}
-
-{ .mmb
-       ldfe	FR_Inv_pi_by_2 = [GR_Table_Base], 16
-       ldfe	FR_Inv_P_0 = [GR_Table_Base1], 16
-      nop.b 999 ;;
-}
-
-{ .mmb
-      nop.m 999
-       ldfe		FR_d_1 = [GR_Table_Base1], 16
-      nop.b 999 ;;
-}
-//
-//     Raise possible denormal operand flag with useful fcmp
-//     Is x <= -2**63
-//     Load Inv_P_0 for pre-reduction
-//     Load Inv_pi_by_2
-//
-
+// p10 is true if we must call routines to handle larger arguments
+// p10 is true if f8 exp is >= 0x1001a (2^27)
 { .mmb
-       ldfe		FR_P_0 = [GR_Table_Base], 16
-       ldfe	FR_d_2 = [GR_Table_Base1], 16
-      nop.b 999 ;;
-}
-//
-//     Load P_0
-//     Load d_1
-//     Is x >= 2**63
-//     Is x <= -2**24?
-//
-
-{ .mmi
-       ldfe	FR_P_1 = [GR_Table_Base], 16 ;;
-//
-//     Load P_1
-//     Load d_2
-//     Is x >= 2**24?
-//
-       ldfe	FR_P_2 = [GR_Table_Base], 16
-      nop.i 999 ;;
-}
-
-{ .mmf
-      nop.m 999
-       ldfe	FR_P_3 = [GR_Table_Base], 16
-       fcmp.le.unc.s1	p7, p8 = FR_Input_X, FR_Neg_Two_to_24
-}
-
-{ .mfi
-      nop.m 999
-//
-//     Branch if +/- zero.
-//     Decide about the paths to take:
-//     If -2**24 < FR_Input_X < 2**24 - CASE 1 OR 2
-//     OTHERWISE - CASE 3 OR 4
-//
-       fcmp.le.unc.s0	p10, p11 = FR_Input_X, FR_Neg_Two_to_63
-      nop.i 999 ;;
-}
-
-{ .mfi
-      nop.m 999
-(p8)   fcmp.ge.s1 p7, p0 = FR_Input_X, FR_Two_to_24
-      nop.i 999
-}
-
-{ .mfi
-       ldfe	FR_Pi_by_4 = [GR_Table_Base1], 16
-(p11)  fcmp.ge.s1	p10, p0 = FR_Input_X, FR_Two_to_63
-      nop.i 999 ;;
-}
-
-{ .mmi
-       ldfe	FR_Neg_Pi_by_4 = [GR_Table_Base1], 16 ;;
-       ldfs	FR_Two_to_M3 = [GR_Table_Base1], 4
-      nop.i 999 ;;
-}
-
-{ .mib
-       ldfs	FR_Neg_Two_to_M3 = [GR_Table_Base1], 12
-      nop.i 999
-//
-//     Load P_2
-//     Load P_3
-//     Load pi_by_4
-//     Load neg_pi_by_4
-//     Load 2**(-3)
-//     Load -2**(-3).
-//
-(p10)  br.cond.spnt L(SINCOS_ARG_TOO_LARGE) ;;
-}
-
-{ .mib
-      nop.m 999
-      nop.i 999
-//
-//     Branch out if x >= 2**63. Use Payne-Hanek Reduction
-//
-(p7)   br.cond.spnt L(SINCOS_LARGER_ARG) ;;
-}
-
-{ .mfi
-      nop.m 999
-//
-//     Branch if Arg <= -2**24 or Arg >= 2**24 and use pre-reduction.
-//
-       fma.s1	FR_N_float = FR_Input_X, FR_Inv_pi_by_2, f0
-      nop.i 999 ;;
-}
-
-{ .mfi
-      nop.m 999
-       fcmp.lt.unc.s1	p6, p7 = FR_Input_X, FR_Pi_by_4
-      nop.i 999 ;;
-}
-
-{ .mfi
-      nop.m 999
-//
-//     Select the case when |Arg| < pi/4
-//     Else Select the case when |Arg| >= pi/4
-//
-       fcvt.fx.s1 FR_N_fix = FR_N_float
-      nop.i 999 ;;
-}
-
-{ .mfi
-      nop.m 999
-//
-//     N  = Arg * 2/pi
-//     Check if Arg < pi/4
-//
-(p6)   fcmp.gt.s1 p6, p7 = FR_Input_X, FR_Neg_Pi_by_4
-      nop.i 999 ;;
-}
-//
-//     Case 2: Convert integer N_fix back to normalized floating-point value.
-//     Case 1: p8 is only affected  when p6 is set
-//
-
-{ .mfi
-(p7)   ldfs FR_Two_to_M33 = [GR_Table_Base1], 4
-//
-//     Grab the integer part of N and call it N_fix
-//
-(p6)   fmerge.se FR_r = FR_Input_X, FR_Input_X
-//     If |x| < pi/4, r = x and c = 0
-//     lf |x| < pi/4, is x < 2**(-3).
-//     r = Arg
-//     c = 0
-(p6)   mov GR_N_Inc = GR_Sin_or_Cos ;;
-}
-
-{ .mmf
-      nop.m 999
-(p7)   ldfs FR_Neg_Two_to_M33 = [GR_Table_Base1], 4
-(p6)   fmerge.se FR_c = f0, f0
-}
-
-{ .mfi
-      nop.m 999
-(p6)   fcmp.lt.unc.s1	p8, p9 = FR_Input_X, FR_Two_to_M3
-      nop.i 999 ;;
-}
-
-{ .mfi
-      nop.m 999
-//
-//     lf |x| < pi/4, is -2**(-3)< x < 2**(-3) - set p8.
-//     If |x| >= pi/4,
-//     Create the right N for |x| < pi/4 and otherwise
-//     Case 2: Place integer part of N in GP register
-//
-(p7)   fcvt.xf FR_N_float = FR_N_fix
-      nop.i 999 ;;
-}
-
-{ .mmf
-      nop.m 999
-(p7)   getf.sig	GR_N_Inc = FR_N_fix
-(p8)   fcmp.gt.s1 p8, p0 = FR_Input_X, FR_Neg_Two_to_M3 ;;
-}
-
-{ .mib
-      nop.m 999
-      nop.i 999
-//
-//     Load 2**(-33), -2**(-33)
-//
-(p8)   br.cond.spnt L(SINCOS_SMALL_R) ;;
-}
-
-{ .mib
-      nop.m 999
-      nop.i 999
-(p6)   br.cond.sptk L(SINCOS_NORMAL_R) ;;
-}
-//
-//     if |x| < pi/4, branch based on |x| < 2**(-3) or otherwise.
-//
-//
-//     In this branch, |x| >= pi/4.
-//
-
-{ .mfi
-       ldfs FR_Neg_Two_to_M67 = [GR_Table_Base1], 8
-//
-//     Load -2**(-67)
-//
-       fnma.s1	FR_s = FR_N_float, FR_P_1, FR_Input_X
-//
-//     w = N * P_2
-//     s = -N * P_1  + Arg
-//
-       add GR_N_Inc = GR_N_Inc, GR_Sin_or_Cos
-}
-
-{ .mfi
-      nop.m 999
-       fma.s1	FR_w = FR_N_float, FR_P_2, f0
-      nop.i 999 ;;
-}
-
-{ .mfi
-      nop.m 999
-//
-//     Adjust N_fix by N_inc to determine whether sine or
-//     cosine is being calculated
-//
-       fcmp.lt.unc.s1 p7, p6 = FR_s, FR_Two_to_M33
-      nop.i 999 ;;
-}
-
-{ .mfi
-      nop.m 999
-(p7)   fcmp.gt.s1 p7, p6 = FR_s, FR_Neg_Two_to_M33
-      nop.i 999 ;;
-}
-
-{ .mfi
-      nop.m 999
-//     Remember x >= pi/4.
-//     Is s <= -2**(-33) or s >= 2**(-33) (p6)
-//     or -2**(-33) < s < 2**(-33) (p7)
-(p6)   fms.s1 FR_r = FR_s, f1, FR_w
-      nop.i 999
-}
-
-{ .mfi
-      nop.m 999
-(p7)   fma.s1 FR_w = FR_N_float, FR_P_3, f0
-      nop.i 999 ;;
-}
-
-{ .mfi
-      nop.m 999
-(p7)   fma.s1 FR_U_1 = FR_N_float, FR_P_2, FR_w
-      nop.i 999
-}
-
-{ .mfi
-      nop.m 999
-(p6)   fms.s1 FR_c = FR_s, f1, FR_r
-      nop.i 999 ;;
-}
-
-{ .mfi
-      nop.m 999
-//
-//     For big s: r = s - w: No futher reduction is necessary
-//     For small s: w = N * P_3 (change sign) More reduction
-//
-(p6)   fcmp.lt.unc.s1 p8, p9 = FR_r, FR_Two_to_M3
-      nop.i 999 ;;
-}
-
-{ .mfi
-      nop.m 999
-(p8)   fcmp.gt.s1 p8, p9 = FR_r, FR_Neg_Two_to_M3
-      nop.i 999 ;;
-}
-
-{ .mfi
-      nop.m 999
-(p7)   fms.s1 FR_r = FR_s, f1, FR_U_1
-      nop.i 999
-}
-
-{ .mfb
-      nop.m 999
-//
-//     For big s: Is |r| < 2**(-3)?
-//     For big s: c = S - r
-//     For small s: U_1 = N * P_2 + w
-//
-//     If p8 is set, prepare to branch to Small_R.
-//     If p9 is set, prepare to branch to Normal_R.
-//     For big s,  r is complete here.
-//
-(p6)   fms.s1 FR_c = FR_c, f1, FR_w
-//
-//     For big s: c = c + w (w has not been negated.)
-//     For small s: r = S - U_1
-//
-(p8)   br.cond.spnt	L(SINCOS_SMALL_R) ;;
-}
-
-{ .mib
-      nop.m 999
-      nop.i 999
-(p9)   br.cond.sptk	L(SINCOS_NORMAL_R) ;;
-}
-
-{ .mfi
-(p7)   add GR_Table_Base1 = 224, GR_Table_Base1
-//
-//     Branch to SINCOS_SMALL_R or SINCOS_NORMAL_R
-//
-(p7)   fms.s1 FR_U_2 = FR_N_float, FR_P_2, FR_U_1
-//
-//     c = S - U_1
-//     r = S_1 * r
-//
-//
-(p7)   extr.u	GR_i_1 = GR_N_Inc, 0, 1
-}
-
-{ .mmi
-      nop.m 999 ;;
-//
-//     Get [i_0,i_1] - two lsb of N_fix_gr.
-//     Do dummy fmpy so inexact is always set.
-//
-(p7)   cmp.eq.unc p9, p10 = 0x0, GR_i_1
-(p7)   extr.u	GR_i_0 = GR_N_Inc, 1, 1 ;;
-}
-//
-//     For small s: U_2 = N * P_2 - U_1
-//     S_1 stored constant - grab the one stored with the
-//     coefficients.
-//
-
-{ .mfi
-(p7)   ldfe FR_S_1 = [GR_Table_Base1], 16
-//
-//     Check if i_1 and i_0  != 0
-//
-(p10)  fma.s1	FR_poly = f0, f1, FR_Neg_Two_to_M67
-(p7)   cmp.eq.unc p11, p12 = 0x0, GR_i_0 ;;
-}
-
-{ .mfi
-      nop.m 999
-(p7)   fms.s1	FR_s = FR_s, f1, FR_r
-      nop.i 999
-}
-
-{ .mfi
-      nop.m 999
-//
-//     S = S - r
-//     U_2 = U_2 + w
-//     load S_1
-//
-(p7)   fma.s1	FR_rsq = FR_r, FR_r, f0
-      nop.i 999 ;;
-}
-
-{ .mfi
-      nop.m 999
-(p7)   fma.s1	FR_U_2 = FR_U_2, f1, FR_w
-      nop.i 999
-}
-
-{ .mfi
-      nop.m 999
-(p7)   fmerge.se FR_Input_X = FR_r, FR_r
-      nop.i 999 ;;
-}
-
-{ .mfi
-      nop.m 999
-(p10)  fma.s1 FR_Input_X = f0, f1, f1
-      nop.i 999 ;;
-}
-
-{ .mfi
-      nop.m 999
-//
-//     FR_rsq = r * r
-//     Save r as the result.
-//
-(p7)   fms.s1	FR_c = FR_s, f1, FR_U_1
-      nop.i 999 ;;
-}
-
-{ .mfi
-      nop.m 999
-//
-//     if ( i_1 ==0) poly = c + S_1*r*r*r
-//     else Result = 1
-//
-(p12)  fnma.s1 FR_Input_X = FR_Input_X, f1, f0
-      nop.i 999
-}
-
-{ .mfi
-      nop.m 999
-(p7)   fma.s1	FR_r = FR_S_1, FR_r, f0
-      nop.i 999 ;;
-}
-
-{ .mfi
-      nop.m 999
-(p7)   fma.d.s0	FR_S_1 = FR_S_1, FR_S_1, f0
-      nop.i 999 ;;
-}
-
-{ .mfi
-      nop.m 999
-//
-//     If i_1 != 0, poly = 2**(-67)
-//
-(p7)   fms.s1 FR_c = FR_c, f1, FR_U_2
-      nop.i 999 ;;
-}
-
-{ .mfi
-      nop.m 999
-//
-//     c = c - U_2
-//
-(p9)   fma.s1 FR_poly = FR_r, FR_rsq, FR_c
-      nop.i 999 ;;
-}
-
-{ .mfi
-      nop.m 999
-//
-//     i_0 != 0, so Result = -Result
-//
-(p11)  fma.d.s0 FR_Input_X = FR_Input_X, f1, FR_poly
-      nop.i 999 ;;
-}
-
-{ .mfb
-      nop.m 999
-(p12)  fms.d.s0 FR_Input_X = FR_Input_X, f1, FR_poly
-//
-//     if (i_0 == 0),  Result = Result + poly
-//     else            Result = Result - poly
-//
-       br.ret.sptk   b0 ;;
-}
-L(SINCOS_LARGER_ARG):
-
-{ .mfi
-      nop.m 999
-       fma.s1 FR_N_0 = FR_Input_X, FR_Inv_P_0, f0
-      nop.i 999
-}
-;;
-
-//     This path for argument > 2*24
-//     Adjust table_ptr1 to beginning of table.
-//
-
-{ .mmi
-      nop.m 999
-      addl           GR_Table_Base   = @ltoff(FSINCOS_CONSTANTS#), gp
-      nop.i 999
-}
-;;
-
-{ .mmi
-      ld8 GR_Table_Base = [GR_Table_Base]
-      nop.m 999
-      nop.i 999
-}
-;;
-
-
-//
-//     Point to  2*-14
-//     N_0 = Arg * Inv_P_0
-//
-
-{ .mmi
-       add GR_Table_Base = 688, GR_Table_Base ;;
-       ldfs FR_Two_to_M14 = [GR_Table_Base], 4
-      nop.i 999 ;;
-}
-
-{ .mfi
-       ldfs FR_Neg_Two_to_M14 = [GR_Table_Base], 0
-      nop.f 999
-      nop.i 999 ;;
-}
-
-{ .mfi
-      nop.m 999
-//
-//     Load values 2**(-14) and -2**(-14)
-//
-       fcvt.fx.s1 FR_N_0_fix = FR_N_0
-      nop.i 999 ;;
-}
-
-{ .mfi
-      nop.m 999
-//
-//     N_0_fix  = integer part of N_0
-//
-       fcvt.xf FR_N_0 = FR_N_0_fix
-      nop.i 999 ;;
-}
-
-{ .mfi
-      nop.m 999
-//
-//     Make N_0 the integer part
-//
-       fnma.s1 FR_ArgPrime = FR_N_0, FR_P_0, FR_Input_X
-      nop.i 999
-}
-
-{ .mfi
-      nop.m 999
-       fma.s1 FR_w = FR_N_0, FR_d_1, f0
-      nop.i 999 ;;
-}
-
-{ .mfi
-      nop.m 999
-//
-//     Arg' = -N_0 * P_0 + Arg
-//     w  = N_0 * d_1
-//
-       fma.s1 FR_N_float = FR_ArgPrime, FR_Inv_pi_by_2, f0
-      nop.i 999 ;;
-}
-
-{ .mfi
-      nop.m 999
-//
-//     N = A' * 2/pi
-//
-       fcvt.fx.s1 FR_N_fix = FR_N_float
-      nop.i 999 ;;
-}
-
-{ .mfi
-      nop.m 999
-//
-//     N_fix is the integer part
-//
-       fcvt.xf FR_N_float = FR_N_fix
-      nop.i 999 ;;
-}
-
-{ .mfi
-       getf.sig GR_N_Inc = FR_N_fix
-      nop.f 999
-      nop.i 999 ;;
-}
-
-{ .mii
-      nop.m 999
-      nop.i 999 ;;
-       add GR_N_Inc = GR_N_Inc, GR_Sin_or_Cos ;;
-}
-
-{ .mfi
-      nop.m 999
-//
-//     N is the integer part of the reduced-reduced argument.
-//     Put the integer in a GP register
-//
-       fnma.s1 FR_s = FR_N_float, FR_P_1, FR_ArgPrime
-      nop.i 999
-}
-
-{ .mfi
-      nop.m 999
-       fnma.s1 FR_w = FR_N_float, FR_P_2, FR_w
-      nop.i 999 ;;
-}
-
-{ .mfi
-      nop.m 999
-//
-//     s = -N*P_1 + Arg'
-//     w = -N*P_2 + w
-//     N_fix_gr = N_fix_gr + N_inc
-//
-       fcmp.lt.unc.s1 p9, p8 = FR_s, FR_Two_to_M14
-      nop.i 999 ;;
-}
-
-{ .mfi
-      nop.m 999
-(p9)   fcmp.gt.s1 p9, p8 = FR_s, FR_Neg_Two_to_M14
-      nop.i 999 ;;
-}
-
-{ .mfi
-      nop.m 999
-//
-//     For |s|  > 2**(-14) r = S + w (r complete)
-//     Else       U_hi = N_0 * d_1
-//
-(p9)   fma.s1 FR_V_hi = FR_N_float, FR_P_2, f0
-      nop.i 999
-}
-
-{ .mfi
-      nop.m 999
-(p9)   fma.s1 FR_U_hi = FR_N_0, FR_d_1, f0
-      nop.i 999 ;;
-}
-
-{ .mfi
-      nop.m 999
-//
-//     Either S <= -2**(-14) or S >= 2**(-14)
-//     or -2**(-14) < s < 2**(-14)
-//
-(p8)   fma.s1 FR_r = FR_s, f1, FR_w
-      nop.i 999
-}
-
-{ .mfi
-      nop.m 999
-(p9)   fma.s1 FR_w = FR_N_float, FR_P_3, f0
-      nop.i 999 ;;
-}
-
-{ .mfi
-      nop.m 999
-//
-//     We need abs of both U_hi and V_hi - don't
-//     worry about switched sign of V_hi.
-//
-(p9)   fms.s1 FR_A = FR_U_hi, f1, FR_V_hi
-      nop.i 999
-}
-
-{ .mfi
-      nop.m 999
-//
-//     Big s: finish up c = (S - r) + w (c complete)
-//     Case 4: A =  U_hi + V_hi
-//     Note: Worry about switched sign of V_hi, so subtract instead of add.
-//
-(p9)   fnma.s1 FR_V_lo = FR_N_float, FR_P_2, FR_V_hi
-      nop.i 999 ;;
-}
-
-{ .mfi
-      nop.m 999
-(p9)   fms.s1 FR_U_lo = FR_N_0, FR_d_1, FR_U_hi
-      nop.i 999 ;;
-}
-
-{ .mfi
-      nop.m 999
-(p9)   fmerge.s FR_V_hiabs = f0, FR_V_hi
-      nop.i 999
-}
-
-{ .mfi
-      nop.m 999
-//     For big s: c = S - r
-//     For small s do more work: U_lo = N_0 * d_1 - U_hi
-//
-(p9)   fmerge.s FR_U_hiabs = f0, FR_U_hi
-      nop.i 999 ;;
-}
-
-{ .mfi
-      nop.m 999
-//
-//     For big s: Is |r| < 2**(-3)
-//     For big s: if p12 set, prepare to branch to Small_R.
-//     For big s: If p13 set, prepare to branch to Normal_R.
-//
-(p8)   fms.s1 FR_c = FR_s, f1, FR_r
-      nop.i 999
-}
-
-{ .mfi
-      nop.m 999
-//
-//     For small S: V_hi = N * P_2
-//                  w = N * P_3
-//     Note the product does not include the (-) as in the writeup
-//     so (-) missing for V_hi and w.
-//
-(p8)   fcmp.lt.unc.s1 p12, p13 = FR_r, FR_Two_to_M3
-      nop.i 999 ;;
-}
-
-{ .mfi
-      nop.m 999
-(p12)  fcmp.gt.s1 p12, p13 = FR_r, FR_Neg_Two_to_M3
-      nop.i 999 ;;
-}
-
-{ .mfi
-      nop.m 999
-(p8)   fma.s1 FR_c = FR_c, f1, FR_w
-      nop.i 999
-}
-
-{ .mfb
-      nop.m 999
-(p9)   fms.s1 FR_w = FR_N_0, FR_d_2, FR_w
-(p12)  br.cond.spnt L(SINCOS_SMALL_R) ;;
-}
-
-{ .mib
-      nop.m 999
-      nop.i 999
-(p13)  br.cond.sptk L(SINCOS_NORMAL_R) ;;
-}
+      ldfpd         sincos_P2,sincos_Q2 = [sincos_AD_1],16
+      cmp.ge        p10,p0              = sincos_r_exp,sincos_exp_limit 
+(p10) br.cond.spnt  _SINCOS_LARGE_ARGS // Go to "large args" routine
+};;
 
+// sincos_W          = x * sincos_Inv_Pi_by_16
+// Multiply x by scaled 16/pi and add large const to shift integer part of W to
+//   rightmost bits of significand
 { .mfi
-      nop.m 999
-//
-//     Big s: Vector off when |r| < 2**(-3).  Recall that p8 will be true.
-//     The remaining stuff is for Case 4.
-//     Small s: V_lo = N * P_2 + U_hi (U_hi is in place of V_hi in writeup)
-//     Note: the (-) is still missing for V_lo.
-//     Small s: w = w + N_0 * d_2
-//     Note: the (-) is now incorporated in w.
-//
-(p9)   fcmp.ge.unc.s1 p10, p11 = FR_U_hiabs, FR_V_hiabs
-       extr.u	GR_i_1 = GR_N_Inc, 0, 1 ;;
-}
+      ldfpd         sincos_P1,sincos_Q1 = [sincos_AD_1],16
+      fma.s1 sincos_W_2TO61_RSH = sincos_NORM_f8,sincos_SIG_INV_PI_BY_16_2TO61,sincos_RSHF_2TO61
+      nop.i         999
+};;
 
+// sincos_NFLOAT = Round_Int_Nearest(sincos_W)
+// This is done by scaling back by 2^-61 and subtracting the shift constant
 { .mfi
-      nop.m 999
-//
-//     C_hi = S + A
-//
-(p9)   fma.s1 FR_t = FR_U_lo, f1, FR_V_lo
-       extr.u	GR_i_0 = GR_N_Inc, 1, 1 ;;
-}
+      nop.m         999
+      fms.s1 sincos_NFLOAT = sincos_W_2TO61_RSH,sincos_2TOM61,sincos_RSHF
+      nop.i         999 
+};;
 
-{ .mfi
-      nop.m 999
-//
-//     t = U_lo + V_lo
-//
-//
-(p10)  fms.s1 FR_a = FR_U_hi, f1, FR_A
-      nop.i 999 ;;
-}
 
+// get N = (int)sincos_int_Nfloat
 { .mfi
-      nop.m 999
-(p11)  fma.s1 FR_a = FR_V_hi, f1, FR_A
-      nop.i 999
-}
-;;
-
-{ .mmi
-      nop.m 999
-      addl           GR_Table_Base   = @ltoff(FSINCOS_CONSTANTS#), gp
-      nop.i 999
-}
-;;
-
-{ .mmi
-      ld8 GR_Table_Base = [GR_Table_Base]
-      nop.m 999
-      nop.i 999
-}
-;;
-
+      getf.sig      sincos_GR_n         = sincos_W_2TO61_RSH
+      nop.f         999
+      nop.i         999 
+};;
 
+// Add 2^(k-1) (which is in sincos_r_sincos) to N
+// sincos_r          = -sincos_Nfloat * sincos_Pi_by_16_1 + x
 { .mfi
-       add GR_Table_Base = 528, GR_Table_Base
-//
-//     Is U_hiabs >= V_hiabs?
-//
-(p9)   fma.s1 FR_C_hi = FR_s, f1, FR_A
-      nop.i 999 ;;
-}
+      add           sincos_GR_n         = sincos_GR_n, sincos_r_sincos
+      fnma.s1 sincos_r = sincos_NFLOAT, sincos_Pi_by_16_1, sincos_NORM_f8
+      nop.i         999 
+};;
 
+// Get M (least k+1 bits of N)
 { .mmi
-       ldfe FR_C_1 = [GR_Table_Base], 16 ;;
-       ldfe FR_C_2 = [GR_Table_Base], 64
-      nop.i 999 ;;
-}
-
-{ .mmf
-      nop.m 999
-//
-//     c = c + C_lo  finished.
-//     Load  C_2
-//
-       ldfe	FR_S_1 = [GR_Table_Base], 16
-//
-//     C_lo = S - C_hi
-//
-       fma.s1 FR_t = FR_t, f1, FR_w ;;
-}
-//
-//     r and c have been computed.
-//     Make sure ftz mode is set - should be automatic when using wre
-//     |r| < 2**(-3)
-//     Get [i_0,i_1] - two lsb of N_fix.
-//     Load S_1
-//
+      and           sincos_GR_m         = 0x1f,sincos_GR_n;;
+      nop.m         999
+      shl           sincos_GR_32m       = sincos_GR_m,5
+};;
 
+// Add 32*M to address of sin_cos_beta table
 { .mfi
-       ldfe FR_S_2 = [GR_Table_Base], 64
-//
-//     t = t + w
-//
-(p10)  fms.s1 FR_a = FR_a, f1, FR_V_hi
-       cmp.eq.unc p9, p10 = 0x0, GR_i_0
-}
+      add           sincos_AD_2         = sincos_GR_32m, sincos_AD_1
+(p8)  fclass.m.unc  p10,p0              = f8,0x0b // For sin denorm. - set uflow
+      nop.i         999 
+};;
 
+// Load Sin and Cos table value using obtained index m  (sincosf_AD_2)
 { .mfi
-      nop.m 999
-//
-//     For larger u than v: a = U_hi - A
-//     Else a = V_hi - A (do an add to account for missing (-) on V_hi
-//
-       fms.s1 FR_C_lo = FR_s, f1, FR_C_hi
-      nop.i 999 ;;
-}
+      ldfe          sincos_Sm           = [sincos_AD_2],16
+(p9)  fclass.m.unc  p11,p0              = f8,0x0b // For cos denorm - set denorm
+      nop.i         999 
+};;
 
+// sincos_r          = sincos_r -sincos_Nfloat * sincos_Pi_by_16_2
 { .mfi
-      nop.m 999
-(p11)  fms.s1 FR_a = FR_U_hi, f1, FR_a
-       cmp.eq.unc p11, p12 = 0x0, GR_i_1
-}
+      ldfe          sincos_Cm           = [sincos_AD_2]
+      fnma.s1 sincos_r = sincos_NFLOAT, sincos_Pi_by_16_2,  sincos_r
+      nop.i         999 
+};;
 
+// get rsq = r*r
 { .mfi
-      nop.m 999
-//
-//     If u > v: a = (U_hi - A)  + V_hi
-//     Else      a = (V_hi - A)  + U_hi
-//     In each case account for negative missing from V_hi.
-//
-       fma.s1 FR_C_lo = FR_C_lo, f1, FR_A
-      nop.i 999 ;;
+      nop.m         999
+      fma.s1        sincos_rsq          = sincos_r, sincos_r,   f0 // r^2 = r*r
+      nop.i         999
 }
-
 { .mfi
-      nop.m 999
-//
-//     C_lo = (S - C_hi) + A
-//
-       fma.s1 FR_t = FR_t, f1, FR_a
-      nop.i 999 ;;
-}
+      nop.m         999
+      fmpy.s0       fp_tmp              = fp_tmp,fp_tmp // forces inexact flag
+      nop.i         999 
+};;
 
+// sincos_r_exact = sincos_r -sincos_Nfloat * sincos_Pi_by_16_3
 { .mfi
-      nop.m 999
-//
-//     t = t + a
-//
-       fma.s1 FR_C_lo = FR_C_lo, f1, FR_t
-      nop.i 999 ;;
-}
+      nop.m         999
+      fnma.s1 sincos_r_exact = sincos_NFLOAT, sincos_Pi_by_16_3, sincos_r
+      nop.i         999 
+};;
 
+// Polynomials calculation 
+// P_1 = P4*r^2 + P3
+// Q_2 = Q4*r^2 + Q3
 { .mfi
-      nop.m 999
-//
-//     C_lo = C_lo + t
-//     Adjust Table_Base to beginning of table
-//
-       fma.s1 FR_r = FR_C_hi, f1, FR_C_lo
-      nop.i 999 ;;
+      nop.m         999
+      fma.s1        sincos_P_temp1      = sincos_rsq, sincos_P4, sincos_P3
+      nop.i         999
 }
-
 { .mfi
-      nop.m 999
-//
-//     Load S_2
-//
-       fma.s1 FR_rsq = FR_r, FR_r, f0
-      nop.i 999
-}
+      nop.m         999
+      fma.s1        sincos_Q_temp1      = sincos_rsq, sincos_Q4, sincos_Q3
+      nop.i         999 
+};;
 
+// get rcube = r^3 and S[m]*r^2
 { .mfi
-      nop.m 999
-//
-//     Table_Base points to C_1
-//     r = C_hi + C_lo
-//
-       fms.s1 FR_c = FR_C_hi, f1, FR_r
-      nop.i 999 ;;
+      nop.m         999
+      fmpy.s1       sincos_srsq         = sincos_Sm,sincos_rsq
+      nop.i         999
 }
-
 { .mfi
-      nop.m 999
-//
-//     if i_1 ==0: poly = S_2 * FR_rsq + S_1
-//     else        poly = C_2 * FR_rsq + C_1
-//
-(p11)  fma.s1 FR_Input_X = f0, f1, FR_r
-      nop.i 999 ;;
-}
+      nop.m         999
+      fmpy.s1       sincos_rcub         = sincos_r_exact, sincos_rsq
+      nop.i         999 
+};;
 
+// Polynomials calculation 
+// Q_2 = Q_1*r^2 + Q2
+// P_1 = P_1*r^2 + P2
 { .mfi
-      nop.m 999
-(p12)  fma.s1 FR_Input_X = f0, f1, f1
-      nop.i 999 ;;
+      nop.m         999
+      fma.s1        sincos_Q_temp2      = sincos_rsq, sincos_Q_temp1, sincos_Q2
+      nop.i         999
 }
-
 { .mfi
-      nop.m 999
-//
-//     Compute r_cube = FR_rsq * r
-//
-(p11)  fma.s1 FR_poly = FR_rsq, FR_S_2, FR_S_1
-      nop.i 999 ;;
-}
+      nop.m         999
+      fma.s1        sincos_P_temp2      = sincos_rsq, sincos_P_temp1, sincos_P2
+      nop.i         999 
+};;
 
+// Polynomials calculation 
+// Q = Q_2*r^2 + Q1
+// P = P_2*r^2 + P1
 { .mfi
-      nop.m 999
-(p12)  fma.s1 FR_poly = FR_rsq, FR_C_2, FR_C_1
-      nop.i 999
+      nop.m         999
+      fma.s1        sincos_Q            = sincos_rsq, sincos_Q_temp2, sincos_Q1
+      nop.i         999
 }
 
 { .mfi
-      nop.m 999
-//
-//     Compute FR_rsq = r * r
-//     Is i_1 == 0 ?
-//
-       fma.s1 FR_r_cubed = FR_rsq, FR_r, f0
-      nop.i 999 ;;
-}
+      nop.m         999
+      fma.s1        sincos_P            = sincos_rsq, sincos_P_temp2, sincos_P1
+      nop.i         999 
+};;
 
+// Get final P and Q
+// Q = Q*S[m]*r^2 + S[m]
+// P = P*r^3 + r
 { .mfi
-      nop.m 999
-//
-//     c = C_hi - r
-//     Load  C_1
-//
-       fma.s1 FR_c = FR_c, f1, FR_C_lo
-      nop.i 999
+      nop.m         999
+      fma.s1        sincos_Q            = sincos_srsq,sincos_Q, sincos_Sm
+      nop.i         999
 }
 
 { .mfi
-      nop.m 999
-//
-//     if i_1 ==0: poly = r_cube * poly + c
-//     else        poly = FR_rsq * poly
-//
-(p10)  fms.s1 FR_Input_X = f0, f1, FR_Input_X
-      nop.i 999 ;;
-}
+      nop.m         999
+      fma.s1        sincos_P            = sincos_rcub,sincos_P, sincos_r_exact
+      nop.i         999 
+};;
 
+// If sin(denormal), force underflow to be set
+.pred.rel "mutex",p10,p11
 { .mfi
-      nop.m 999
-//
-//     if i_1 ==0: Result = r
-//     else        Result = 1.0
-//
-(p11)  fma.s1 FR_poly = FR_r_cubed, FR_poly, FR_c
-      nop.i 999 ;;
+      nop.m         999
+(p10) fmpy.d.s0     fp_tmp              = f8,f8  // forces underflow flag
+      nop.i         999                          // for denormal sine args
 }
-
 { .mfi
-      nop.m 999
-(p12)  fma.s1 FR_poly = FR_rsq, FR_poly, f0
-      nop.i 999 ;;
-}
+      nop.m         999
+(p11) fma.d.s0      fp_tmp              = f8,f1, f8  // forces denormal flag
+      nop.i         999                              // for denormal cosine args
+};;
 
-{ .mfi
-      nop.m 999
-//
-//     if i_0 !=0: Result = -Result
-//
-(p9)   fma.d.s0 FR_Input_X = FR_Input_X, f1, FR_poly
-      nop.i 999 ;;
-}
 
+// Final calculation
+// result = C[m]*P + Q
 { .mfb
-      nop.m 999
-(p10)  fms.d.s0 FR_Input_X = FR_Input_X, f1, FR_poly
-//
-//     if i_0 == 0: Result = Result + poly
-//     else         Result = Result - poly
-//
-       br.ret.sptk   b0 ;;
-}
-L(SINCOS_SMALL_R):
-
-{ .mii
-      nop.m 999
-      	extr.u	GR_i_1 = GR_N_Inc, 0, 1 ;;
-//
-//
-//      Compare both i_1 and i_0 with 0.
-//      if i_1 == 0, set p9.
-//      if i_0 == 0, set p11.
-//
-      	cmp.eq.unc p9, p10 = 0x0, GR_i_1 ;;
-}
-
-{ .mfi
-      nop.m 999
-      	fma.s1 FR_rsq = FR_r, FR_r, f0
-      	extr.u	GR_i_0 = GR_N_Inc, 1, 1 ;;
-}
-
-{ .mfi
-      nop.m 999
-//
-// 	Z = Z * FR_rsq
-//
-(p10)	fnma.s1	FR_c = FR_c, FR_r, f0
-      	cmp.eq.unc p11, p12 = 0x0, GR_i_0
-}
-;;
-
-// ******************************************************************
-// ******************************************************************
-// ******************************************************************
-//      r and c have been computed.
-//      We know whether this is the sine or cosine routine.
-//      Make sure ftz mode is set - should be automatic when using wre
-//      |r| < 2**(-3)
-//
-//      Set table_ptr1 to beginning of constant table.
-//      Get [i_0,i_1] - two lsb of N_fix_gr.
-//
-
-{ .mmi
-      nop.m 999
-      addl           GR_Table_Base   = @ltoff(FSINCOS_CONSTANTS#), gp
-      nop.i 999
-}
-;;
-
-{ .mmi
-      ld8 GR_Table_Base = [GR_Table_Base]
-      nop.m 999
-      nop.i 999
-}
-;;
-
-
-//
-//      Set table_ptr1 to point to S_5.
-//      Set table_ptr1 to point to C_5.
-//      Compute FR_rsq = r * r
-//
-
-{ .mfi
-(p9)  	add GR_Table_Base = 672, GR_Table_Base
-(p10)	fmerge.s FR_r = f1, f1
-(p10) 	add GR_Table_Base = 592, GR_Table_Base ;;
-}
-//
-//      Set table_ptr1 to point to S_5.
-//      Set table_ptr1 to point to C_5.
-//
-
-{ .mmi
-(p9)  	ldfe FR_S_5 = [GR_Table_Base], -16 ;;
-//
-//      if (i_1 == 0) load S_5
-//      if (i_1 != 0) load C_5
-//
-(p9)  	ldfe FR_S_4 = [GR_Table_Base], -16
-      nop.i 999 ;;
-}
-
-{ .mmf
-(p10) 	ldfe FR_C_5 = [GR_Table_Base], -16
-//
-//      Z = FR_rsq * FR_rsq
-//
-(p9)  	ldfe FR_S_3 = [GR_Table_Base], -16
-//
-//      Compute FR_rsq = r * r
-//      if (i_1 == 0) load S_4
-//      if (i_1 != 0) load C_4
-//
-       	fma.s1 FR_Z = FR_rsq, FR_rsq, f0 ;;
-}
-//
-//      if (i_1 == 0) load S_3
-//      if (i_1 != 0) load C_3
-//
-
-{ .mmi
-(p9)  	ldfe FR_S_2 = [GR_Table_Base], -16 ;;
-//
-//      if (i_1 == 0) load S_2
-//      if (i_1 != 0) load C_2
-//
-(p9)  	ldfe FR_S_1 = [GR_Table_Base], -16
-      nop.i 999
-}
-
-{ .mmi
-(p10) 	ldfe FR_C_4 = [GR_Table_Base], -16 ;;
-(p10)  	ldfe FR_C_3 = [GR_Table_Base], -16
-      nop.i 999 ;;
-}
-
-{ .mmi
-(p10) 	ldfe FR_C_2 = [GR_Table_Base], -16 ;;
-(p10) 	ldfe FR_C_1 = [GR_Table_Base], -16
-      nop.i 999
-}
-
-{ .mfi
-      nop.m 999
-//
-//      if (i_1 != 0):
-//      poly_lo = FR_rsq * C_5 + C_4
-//      poly_hi = FR_rsq * C_2 + C_1
-//
-(p9)  	fma.s1 FR_Z = FR_Z, FR_r, f0
-      nop.i 999 ;;
-}
-
-{ .mfi
-      nop.m 999
-//
-//      if (i_1 == 0) load S_1
-//      if (i_1 != 0) load C_1
-//
-(p9)  	fma.s1 FR_poly_lo = FR_rsq, FR_S_5, FR_S_4
-      nop.i 999
-}
-
-{ .mfi
-      nop.m 999
-//
-//      c = -c * r
-//      dummy fmpy's to flag inexact.
-//
-(p9)	fma.d.s0 FR_S_4 = FR_S_4, FR_S_4, f0
-      nop.i 999 ;;
-}
-
-{ .mfi
-      nop.m 999
-//
-//      poly_lo = FR_rsq * poly_lo + C_3
-//      poly_hi = FR_rsq * poly_hi
-//
-        fma.s1	FR_Z = FR_Z, FR_rsq, f0
-      nop.i 999 ;;
-}
-
-{ .mfi
-      nop.m 999
-(p9)  	fma.s1 FR_poly_hi = FR_rsq, FR_S_2, FR_S_1
-      nop.i 999
-}
-
-{ .mfi
-      nop.m 999
-//
-//      if (i_1 == 0):
-//      poly_lo = FR_rsq * S_5 + S_4
-//      poly_hi = FR_rsq * S_2 + S_1
-//
-(p10) 	fma.s1 FR_poly_lo = FR_rsq, FR_C_5, FR_C_4
-      nop.i 999 ;;
-}
-
-{ .mfi
-      nop.m 999
-//
-//      if (i_1 == 0):
-//      Z = Z * r  for only one of the small r cases - not there
-//      in original implementation notes.
-//
-(p9)  	fma.s1 FR_poly_lo = FR_rsq, FR_poly_lo, FR_S_3
-      nop.i 999 ;;
-}
-
-{ .mfi
-      nop.m 999
-(p10) 	fma.s1 FR_poly_hi = FR_rsq, FR_C_2, FR_C_1
-      nop.i 999
-}
-
-{ .mfi
-      nop.m 999
-(p10)	fma.d.s0 FR_C_1 = FR_C_1, FR_C_1, f0
-      nop.i 999 ;;
-}
-
-{ .mfi
-      nop.m 999
-(p9)  	fma.s1 FR_poly_hi = FR_poly_hi, FR_rsq, f0
-      nop.i 999
-}
-
-{ .mfi
-      nop.m 999
-//
-//      poly_lo = FR_rsq * poly_lo + S_3
-//      poly_hi = FR_rsq * poly_hi
-//
-(p10) 	fma.s1 FR_poly_lo = FR_rsq, FR_poly_lo, FR_C_3
-      nop.i 999 ;;
-}
-
-{ .mfi
-      nop.m 999
-(p10) 	fma.s1 FR_poly_hi = FR_poly_hi, FR_rsq, f0
-      nop.i 999 ;;
-}
-
-{ .mfi
-      nop.m 999
-//
-// 	if (i_1 == 0): dummy fmpy's to flag inexact
-// 	r = 1
-//
-(p9)	fma.s1 FR_poly_hi = FR_r, FR_poly_hi, f0
-      nop.i 999
-}
-
-{ .mfi
-      nop.m 999
-//
-// 	poly_hi = r * poly_hi
-//
-        fma.s1	FR_poly = FR_Z, FR_poly_lo, FR_c
-      nop.i 999 ;;
-}
-
-{ .mfi
-      nop.m 999
-(p12)	fms.s1	FR_r = f0, f1, FR_r
-      nop.i 999 ;;
-}
-
-{ .mfi
-      nop.m 999
-//
-//      poly_hi = Z * poly_lo + c
-// 	if i_0 == 1: r = -r
-//
-     	fma.s1	FR_poly = FR_poly, f1, FR_poly_hi
-      nop.i 999 ;;
-}
+      nop.m         999
+      fma.d.s0      f8                  = sincos_Cm, sincos_P, sincos_Q
+      br.ret.sptk   b0  // Exit for common path
+};;
 
+////////// x = 0/Inf/NaN path //////////////////
+_SINCOS_SPECIAL_ARGS:
+.pred.rel "mutex",p8,p9
+// sin(+/-0) = +/-0
+// sin(Inf)  = NaN
+// sin(NaN)  = NaN
 { .mfi
-      nop.m 999
-(p12)	fms.d.s0 FR_Input_X = FR_r, f1, FR_poly
-      nop.i 999
+      nop.m         999
+(p8)  fma.d.s0      f8                  = f8, f0, f0 // sin(+/-0,NaN,Inf)
+      nop.i         999
 }
-
+// cos(+/-0) = 1.0
+// cos(Inf)  = NaN
+// cos(NaN)  = NaN
 { .mfb
-      nop.m 999
-//
-//      poly = poly + poly_hi
-//
-(p11)	fma.d.s0 FR_Input_X = FR_r, f1, FR_poly
-//
-//      if (i_0 == 0) Result = r + poly
-//      if (i_0 != 0) Result = r - poly
-//
-       br.ret.sptk   b0 ;;
-}
-L(SINCOS_NORMAL_R):
-
-{ .mii
-      nop.m 999
-    	extr.u	GR_i_1 = GR_N_Inc, 0, 1 ;;
-//
-//      Set table_ptr1 and table_ptr2 to base address of
-//      constant table.
-    	cmp.eq.unc p9, p10 = 0x0, GR_i_1 ;;
-}
-
-{ .mfi
-      nop.m 999
-    	fma.s1	FR_rsq = FR_r, FR_r, f0
-    	extr.u	GR_i_0 = GR_N_Inc, 1, 1 ;;
-}
+      nop.m         999
+(p9)  fma.d.s0      f8                  = f8, f0, f1 // cos(+/-0,NaN,Inf)
+      br.ret.sptk   b0 // Exit for x = 0/Inf/NaN path
+};;
 
+GLOBAL_IEEE754_END(cos)
+//////////// x >= 2^27 - large arguments routine call ////////////
+LOCAL_LIBM_ENTRY(__libm_callout_sincos)
+_SINCOS_LARGE_ARGS:
+.prologue
 { .mfi
-      nop.m 999
-    	frcpa.s1 FR_r_hi, p6 = f1, FR_r
-    	cmp.eq.unc p11, p12 = 0x0, GR_i_0
-}
-;;
-
-// ******************************************************************
-// ******************************************************************
-// ******************************************************************
-//
-//      r and c have been computed.
-//      We known whether this is the sine or cosine routine.
-//      Make sure ftz mode is set - should be automatic when using wre
-//      Get [i_0,i_1] - two lsb of N_fix_gr alone.
-//
-
-{ .mmi
-      nop.m 999
-      addl           GR_Table_Base   = @ltoff(FSINCOS_CONSTANTS#), gp
-      nop.i 999
+      mov           sincos_GR_all_ones  = -1 // 0xffffffff
+      nop.f         999
+.save ar.pfs,GR_SAVE_PFS
+      mov           GR_SAVE_PFS         = ar.pfs
 }
 ;;
 
-{ .mmi
-      ld8 GR_Table_Base = [GR_Table_Base]
-      nop.m 999
-      nop.i 999
-}
-;;
-
-
-{ .mfi
-(p10)	add GR_Table_Base = 384, GR_Table_Base
-(p12)	fms.s1 FR_Input_X = f0, f1, f1
-(p9)	add GR_Table_Base = 224, GR_Table_Base ;;
-}
-
-{ .mmf
-      nop.m 999
-(p10)	ldfe FR_QQ_8 = [GR_Table_Base], 16
-//
-//      if (i_1==0) poly = poly * FR_rsq + PP_1_lo
-//      else        poly = FR_rsq * poly
-//
-(p11)	fma.s1 FR_Input_X = f0, f1, f1 ;;
-}
-
-{ .mmf
-(p10)	ldfe FR_QQ_7 = [GR_Table_Base], 16
-//
-// 	Adjust table pointers based on i_0
-//      Compute rsq = r * r
-//
-(p9)	ldfe FR_PP_8 = [GR_Table_Base], 16
-    	fma.s1 FR_r_cubed = FR_r, FR_rsq, f0 ;;
-}
-
-{ .mmf
-(p9)	ldfe FR_PP_7 = [GR_Table_Base], 16
-(p10)	ldfe FR_QQ_6 = [GR_Table_Base], 16
-//
-//      Load PP_8 and QQ_8; PP_7 and QQ_7
-//
-    	frcpa.s1 FR_r_hi, p6 = f1, FR_r_hi ;;
-}
-//
-//      if (i_1==0) poly =   PP_7 + FR_rsq * PP_8.
-//      else        poly =   QQ_7 + FR_rsq * QQ_8.
-//
-
-{ .mmb
-(p9)	ldfe FR_PP_6 = [GR_Table_Base], 16
-(p10)	ldfe FR_QQ_5 = [GR_Table_Base], 16
-      nop.b 999 ;;
-}
-
-{ .mmb
-(p9)	ldfe FR_PP_5 = [GR_Table_Base], 16
-(p10)	ldfe FR_S_1 = [GR_Table_Base], 16
-      nop.b 999 ;;
-}
-
-{ .mmb
-(p10)	ldfe FR_QQ_1 = [GR_Table_Base], 16
-(p9)	ldfe FR_C_1 = [GR_Table_Base], 16
-      nop.b 999 ;;
-}
-
-{ .mmi
-(p10)	ldfe FR_QQ_4 = [GR_Table_Base], 16 ;;
-(p9)	ldfe FR_PP_1 = [GR_Table_Base], 16
-      nop.i 999 ;;
-}
-
-{ .mmf
-(p10)	ldfe FR_QQ_3 = [GR_Table_Base], 16
-//
-//      if (i_1=0) corr = corr + c*c
-//      else       corr = corr * c
-//
-(p9)	ldfe FR_PP_4 = [GR_Table_Base], 16
-(p10)	fma.s1 FR_poly = FR_rsq, FR_QQ_8, FR_QQ_7 ;;
-}
-//
-//      if (i_1=0) poly = rsq * poly + PP_5
-//      else       poly = rsq * poly + QQ_5
-//      Load PP_4 or QQ_4
-//
-
-{ .mmf
-(p9)	ldfe FR_PP_3 = [GR_Table_Base], 16
-(p10)	ldfe FR_QQ_2 = [GR_Table_Base], 16
-//
-//      r_hi =   frcpa(frcpa(r)).
-//      r_cube = r * FR_rsq.
-//
-(p9)	fma.s1 FR_poly = FR_rsq, FR_PP_8, FR_PP_7 ;;
-}
-//
-//      Do dummy multiplies so inexact is always set.
-//
-
-{ .mfi
-(p9)	ldfe FR_PP_2 = [GR_Table_Base], 16
-//
-//      r_lo = r - r_hi
-//
-(p9)	fma.s1 FR_U_lo = FR_r_hi, FR_r_hi, f0
-      nop.i 999 ;;
-}
-
-{ .mmf
-      nop.m 999
-(p9)	ldfe FR_PP_1_lo = [GR_Table_Base], 16
-(p10)	fma.s1 FR_corr = FR_S_1, FR_r_cubed, FR_r
-}
-
-{ .mfi
-      nop.m 999
-(p10)	fma.s1 FR_poly = FR_rsq, FR_poly, FR_QQ_6
-      nop.i 999 ;;
-}
-
-{ .mfi
-      nop.m 999
-//
-//      if (i_1=0) U_lo = r_hi * r_hi
-//      else       U_lo = r_hi + r
-//
-(p9)	fma.s1 FR_corr = FR_C_1, FR_rsq, f0
-      nop.i 999 ;;
-}
-
-{ .mfi
-      nop.m 999
-//
-//      if (i_1=0) corr = C_1 * rsq
-//      else       corr = S_1 * r_cubed + r
-//
-(p9)	fma.s1 FR_poly = FR_rsq, FR_poly, FR_PP_6
-      nop.i 999
-}
-
-{ .mfi
-      nop.m 999
-(p10)	fma.s1 FR_U_lo = FR_r_hi, f1, FR_r
-      nop.i 999 ;;
-}
-
-{ .mfi
-      nop.m 999
-//
-//      if (i_1=0) U_hi = r_hi + U_hi
-//      else       U_hi = QQ_1 * U_hi + 1
-//
-(p9)	fma.s1 FR_U_lo = FR_r, FR_r_hi, FR_U_lo
-      nop.i 999
-}
-
-{ .mfi
-      nop.m 999
-//
-//      U_hi = r_hi * r_hi
-//
-    	fms.s1 FR_r_lo = FR_r, f1, FR_r_hi
-      nop.i 999 ;;
-}
-
-{ .mfi
-      nop.m 999
-//
-//      Load PP_1, PP_6, PP_5, and C_1
-//      Load QQ_1, QQ_6, QQ_5, and S_1
-//
-    	fma.s1 FR_U_hi = FR_r_hi, FR_r_hi, f0
-      nop.i 999 ;;
-}
-
-{ .mfi
-      nop.m 999
-(p10)	fma.s1 FR_poly = FR_rsq, FR_poly, FR_QQ_5
-      nop.i 999
-}
-
-{ .mfi
-      nop.m 999
-(p10)	fnma.s1	FR_corr = FR_corr, FR_c, f0
-      nop.i 999 ;;
-}
-
-{ .mfi
-      nop.m 999
-//
-//      if (i_1=0) U_lo = r * r_hi + U_lo
-//      else       U_lo = r_lo * U_lo
-//
-(p9)	fma.s1 FR_corr = FR_corr, FR_c, FR_c
-      nop.i 999 ;;
-}
-
-{ .mfi
-      nop.m 999
-(p9)	fma.s1 FR_poly = FR_rsq, FR_poly, FR_PP_5
-      nop.i 999
-}
-
-{ .mfi
-      nop.m 999
-//
-//      if (i_1 =0) U_hi = r + U_hi
-//      if (i_1 =0) U_lo = r_lo * U_lo
-//
-//
-(p9)	fma.d.s0 FR_PP_5 = FR_PP_5, FR_PP_4, f0
-      nop.i 999 ;;
-}
-
-{ .mfi
-      nop.m 999
-(p9)	fma.s1 FR_U_lo = FR_r, FR_r, FR_U_lo
-      nop.i 999
-}
-
-{ .mfi
-      nop.m 999
-(p10)	fma.s1 FR_U_lo = FR_r_lo, FR_U_lo, f0
-      nop.i 999 ;;
-}
-
-{ .mfi
-      nop.m 999
-//
-//      if (i_1=0) poly = poly * rsq + PP_6
-//      else       poly = poly * rsq + QQ_6
-//
-(p9)	fma.s1 FR_U_hi = FR_r_hi, FR_U_hi, f0
-      nop.i 999 ;;
-}
-
-{ .mfi
-      nop.m 999
-(p10)	fma.s1 FR_poly = FR_rsq, FR_poly, FR_QQ_4
-      nop.i 999
-}
-
-{ .mfi
-      nop.m 999
-(p10)	fma.s1 FR_U_hi = FR_QQ_1, FR_U_hi, f1
-      nop.i 999 ;;
-}
-
 { .mfi
-      nop.m 999
-(p10)	fma.d.s0 FR_QQ_5 = FR_QQ_5, FR_QQ_5, f0
-      nop.i 999 ;;
+      mov           GR_SAVE_GP          = gp
+      nop.f         999
+.save b0, GR_SAVE_B0
+      mov           GR_SAVE_B0          = b0
 }
 
-{ .mfi
-      nop.m 999
-//
-//      if (i_1!=0) U_hi = PP_1 * U_hi
-//      if (i_1!=0) U_lo = r * r  + U_lo
-//      Load PP_3 or QQ_3
-//
-(p9)	fma.s1 FR_poly = FR_rsq, FR_poly, FR_PP_4
-      nop.i 999 ;;
-}
-
-{ .mfi
-      nop.m 999
-(p9)	fma.s1 FR_U_lo = FR_r_lo, FR_U_lo, f0
-      nop.i 999
-}
-
-{ .mfi
-      nop.m 999
-(p10)	fma.s1 FR_U_lo = FR_QQ_1,FR_U_lo, f0
-      nop.i 999 ;;
-}
-
-{ .mfi
-      nop.m 999
-(p9)	fma.s1 FR_U_hi = FR_PP_1, FR_U_hi, f0
-      nop.i 999 ;;
-}
-
-{ .mfi
-      nop.m 999
-(p10)	fma.s1 FR_poly = FR_rsq, FR_poly, FR_QQ_3
-      nop.i 999 ;;
-}
-
-{ .mfi
-      nop.m 999
-//
-//      Load PP_2, QQ_2
-//
-(p9)	fma.s1 FR_poly = FR_rsq, FR_poly, FR_PP_3
-      nop.i 999 ;;
-}
-
-{ .mfi
-      nop.m 999
-//
-//      if (i_1==0) poly = FR_rsq * poly  + PP_3
-//      else        poly = FR_rsq * poly  + QQ_3
-//      Load PP_1_lo
-//
-(p9)	fma.s1 FR_U_lo = FR_PP_1, FR_U_lo, f0
-      nop.i 999 ;;
-}
-
-{ .mfi
-      nop.m 999
-//
-//      if (i_1 =0) poly = poly * rsq + pp_r4
-//      else        poly = poly * rsq + qq_r4
-//
-(p9)	fma.s1 FR_U_hi = FR_r, f1, FR_U_hi
-      nop.i 999 ;;
-}
-
-{ .mfi
-      nop.m 999
-(p10)	fma.s1 FR_poly = FR_rsq, FR_poly, FR_QQ_2
-      nop.i 999 ;;
-}
-
-{ .mfi
-      nop.m 999
-//
-//      if (i_1==0) U_lo =  PP_1_hi * U_lo
-//      else        U_lo =  QQ_1 * U_lo
-//
-(p9)	fma.s1 FR_poly = FR_rsq, FR_poly, FR_PP_2
-      nop.i 999 ;;
-}
-
-{ .mfi
-      nop.m 999
-//
-//      if (i_0==0)  Result = 1
-//      else         Result = -1
-//
-     	fma.s1 FR_V = FR_U_lo, f1, FR_corr
-      nop.i 999 ;;
-}
-
-{ .mfi
-      nop.m 999
-(p10)	fma.s1 FR_poly = FR_rsq, FR_poly, f0
-      nop.i 999 ;;
-}
-
-{ .mfi
-      nop.m 999
-//
-//      if (i_1==0) poly =  FR_rsq * poly + PP_2
-//      else poly =  FR_rsq * poly + QQ_2
-//
-(p9)	fma.s1 FR_poly = FR_rsq, FR_poly, FR_PP_1_lo
-      nop.i 999 ;;
-}
-
-{ .mfi
-      nop.m 999
-(p10)	fma.s1 FR_poly = FR_rsq, FR_poly, f0
-      nop.i 999 ;;
-}
-
-{ .mfi
-      nop.m 999
-//
-//      V = U_lo + corr
-//
-(p9)	fma.s1 FR_poly = FR_r_cubed, FR_poly, f0
-      nop.i 999 ;;
-}
-
-{ .mfi
-      nop.m 999
-//
-//      if (i_1==0) poly = r_cube * poly
-//      else        poly = FR_rsq * poly
-//
-    	fma.s1	FR_V = FR_poly, f1, FR_V
-      nop.i 999 ;;
-}
-
-{ .mfi
-      nop.m 999
-(p12)	fms.d.s0 FR_Input_X = FR_Input_X, FR_U_hi, FR_V
-      nop.i 999
-}
-
-{ .mfb
-      nop.m 999
-//
-//      V = V + poly
-//
-(p11)	fma.d.s0 FR_Input_X = FR_Input_X, FR_U_hi, FR_V
-//
-//      if (i_0==0) Result = Result * U_hi + V
-//      else        Result = Result * U_hi - V
-//
-       br.ret.sptk   b0 ;;
-}
-
-//
-//      If cosine, FR_Input_X = 1
-//      If sine, FR_Input_X = +/-Zero (Input FR_Input_X)
-//      Results are exact, no exceptions
-//
-L(SINCOS_ZERO):
-
-{ .mmb
-        cmp.eq.unc p6, p7 = 0x1, GR_Sin_or_Cos
-      nop.m 999
-      nop.b 999 ;;
-}
-
-{ .mfi
-      nop.m 999
-(p7)    fmerge.s FR_Input_X = FR_Input_X, FR_Input_X
-      nop.i 999
-}
-
-{ .mfb
-      nop.m 999
-(p6)    fmerge.s FR_Input_X = f1, f1
-       br.ret.sptk   b0 ;;
-}
-
-L(SINCOS_SPECIAL):
-
-//
-//      Path for Arg = +/- QNaN, SNaN, Inf
-//      Invalid can be raised. SNaNs
-//      become QNaNs
-//
-
-{ .mfb
-      nop.m 999
-        fmpy.d.s0 FR_Input_X = FR_Input_X, f0
-        br.ret.sptk   b0 ;;
-}
-.endp __libm_cos_double_dbx#
-ASM_SIZE_DIRECTIVE(__libm_cos_double_dbx#)
-
-
-
-//
-//      Call int pi_by_2_reduce(double* x, double *y)
-//      for |arguments| >= 2**63
-//      Address to save r and c as double
-//
-//
-//      psp    sp+64
-//             sp+48  -> f0 c
-//      r45    sp+32  -> f0 r
-//      r44 -> sp+16  -> InputX
-//      sp     sp     -> scratch provided to callee
-
+.body
+{ .mbb
+      setf.sig      sincos_save_tmp     = sincos_GR_all_ones// inexact set
+      nop.b         999
+(p8)  br.call.sptk.many b0              = __libm_sin_large# // sin(large_X)
 
+};;
 
-.proc __libm_callout_2
-__libm_callout_2:
-L(SINCOS_ARG_TOO_LARGE):
+{ .mbb
+      cmp.ne        p9,p0               = sincos_r_sincos, r0 // set p9 if cos
+      nop.b         999
+(p9)  br.call.sptk.many b0              = __libm_cos_large# // cos(large_X)
+};;
 
-.prologue
 { .mfi
-        add   r45=-32,sp                        // Parameter: r address
-        nop.f 0
-.save   ar.pfs,GR_SAVE_PFS
-        mov  GR_SAVE_PFS=ar.pfs                 // Save ar.pfs
+      mov           gp                  = GR_SAVE_GP
+      fma.d.s0      f8                  = f8, f1, f0 // Round result to double
+      mov           b0                  = GR_SAVE_B0
 }
+// Force inexact set
 { .mfi
-.fframe 64
-        add sp=-64,sp                           // Create new stack
-        nop.f 0
-        mov GR_SAVE_GP=gp                       // Save gp
-};;
-{ .mmi
-        stfe [r45] = f0,16                      // Clear Parameter r on stack
-        add  r44 = 16,sp                        // Parameter x address
-.save   b0, GR_SAVE_B0
-        mov GR_SAVE_B0=b0                       // Save b0
-};;
-.body
-{ .mib
-        stfe [r45] = f0,-16                     // Clear Parameter c on stack
-        nop.i 0
-        nop.b 0
-}
-{ .mib
-        stfe [r44] = FR_Input_X                 // Store Parameter x on stack
-        nop.i 0
-        br.call.sptk b0=__libm_pi_by_2_reduce# ;;
+      nop.m         999
+      fmpy.s0       sincos_save_tmp     = sincos_save_tmp, sincos_save_tmp
+      nop.i         999 
 };;
 
-
-{ .mii
-        ldfe  FR_Input_X =[r44],16
-//
-//      Get r and c off stack
-//
-        adds  GR_Table_Base1 = -16, GR_Table_Base1
-//
-//      Get r and c off stack
-//
-        add   GR_N_Inc = GR_Sin_or_Cos,r8 ;;
-}
-{ .mmb
-        ldfe  FR_r =[r45],16
-//
-//      Get X off the stack
-//      Readjust Table ptr
-//
-        ldfs FR_Two_to_M3 = [GR_Table_Base1],4
-        nop.b 999 ;;
-}
-{ .mmb
-        ldfs FR_Neg_Two_to_M3 = [GR_Table_Base1],0
-        ldfe  FR_c =[r45]
-        nop.b 999 ;;
-}
-
-{ .mfi
-.restore sp
-        add   sp = 64,sp                       // Restore stack pointer
-        fcmp.lt.unc.s1  p6, p0 = FR_r, FR_Two_to_M3
-        mov   b0 = GR_SAVE_B0                  // Restore return address
-};;
 { .mib
-        mov   gp = GR_SAVE_GP                  // Restore gp
-        mov   ar.pfs = GR_SAVE_PFS             // Restore ar.pfs
-        nop.b 0
+      nop.m         999
+      mov           ar.pfs              = GR_SAVE_PFS
+      br.ret.sptk   b0 // Exit for large arguments routine call
 };;
 
+LOCAL_LIBM_END(__libm_callout_sincos)
 
-{ .mfi
-      nop.m 999
-(p6)    fcmp.gt.unc.s1	p6, p0 = FR_r, FR_Neg_Two_to_M3
-      nop.i 999 ;;
-}
-
-{ .mib
-      nop.m 999
-      nop.i 999
-(p6)    br.cond.spnt L(SINCOS_SMALL_R) ;;
-}
-
-{ .mib
-      nop.m 999
-      nop.i 999
-        br.cond.sptk L(SINCOS_NORMAL_R) ;;
-}
-
-.endp __libm_callout_2
-ASM_SIZE_DIRECTIVE(__libm_callout_2)
-
-.type   __libm_pi_by_2_reduce#,@function
-.global __libm_pi_by_2_reduce#
-
+.type    __libm_sin_large#,@function
+.global  __libm_sin_large#
+.type    __libm_cos_large#,@function
+.global  __libm_cos_large#
 
-.type __libm_sin_double_dbx#,@function
-.global __libm_sin_double_dbx#
-.type __libm_cos_double_dbx#,@function
-.global __libm_cos_double_dbx#
diff --git a/sysdeps/ia64/fpu/s_cosf.S b/sysdeps/ia64/fpu/s_cosf.S
index 0e47255b3f..89cf82372d 100644
--- a/sysdeps/ia64/fpu/s_cosf.S
+++ b/sysdeps/ia64/fpu/s_cosf.S
@@ -1,12 +1,10 @@
-
 .file "sincosf.s"
 
 
-// Copyright (C) 2000, 2001, Intel Corporation
+// Copyright (c) 2000 - 2003, Intel Corporation
 // All rights reserved.
 //
-// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story,
-// and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation.
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
 //
 // Redistribution and use in source and binary forms, with or without
 // modification, are permitted provided that the following conditions are
@@ -22,7 +20,7 @@
 // * The name of Intel Corporation may not be used to endorse or promote
 // products derived from this software without specific prior written
 // permission.
-//
+
 // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
 // "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
@@ -37,663 +35,680 @@
 //
 // Intel Corporation is the author of this code, and requests that all
 // problem reports or change requests be submitted to it directly at
-// http://developer.intel.com/opensource.
-
-
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
+//
 // History
 //==============================================================
-// 2/02/00  Initial revision 
-// 4/02/00  Unwind support added.
-// 5/10/00  Improved speed with new algorithm.
-// 8/08/00  Improved speed by avoiding SIR flush.
-// 8/17/00  Changed predicate register macro-usage to direct predicate
-//          names due to an assembler bug.
-// 8/30/00  Put sin_of_r before sin_tbl_S_cos_of_r to gain a cycle 
-// 1/02/00  Fixed flag settings, improved speed.
+// 02/02/00 Initial version
+// 04/02/00 Unwind support added.
+// 06/16/00 Updated tables to enforce symmetry
+// 08/31/00 Saved 2 cycles in main path, and 9 in other paths.
+// 09/20/00 The updated tables regressed to an old version, so reinstated them
+// 10/18/00 Changed one table entry to ensure symmetry
+// 01/03/01 Improved speed, fixed flag settings for small arguments.
+// 02/18/02 Large arguments processing routine excluded
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 06/03/02 Insure inexact flag set for large arg result
+// 09/05/02 Single precision version is made using double precision one as base
+// 02/10/03 Reordered header: .section, .global, .proc, .align
 //
 // API
 //==============================================================
 // float sinf( float x);
 // float cosf( float x);
 //
+// Overview of operation
+//==============================================================
+//
+// Step 1
+// ======
+// Reduce x to region -1/2*pi/2^k ===== 0 ===== +1/2*pi/2^k  where k=4
+//    divide x by pi/2^k.
+//    Multiply by 2^k/pi.
+//    nfloat = Round result to integer (round-to-nearest)
+//
+// r = x -  nfloat * pi/2^k
+//    Do this as (x -  nfloat * HIGH(pi/2^k)) - nfloat * LOW(pi/2^k) 
 
-#include "libm_support.h"	
-	
-// Assembly macros
+//    for increased accuracy.
+//    pi/2^k is stored as two numbers that when added make pi/2^k.
+//       pi/2^k = HIGH(pi/2^k) + LOW(pi/2^k)
+//    HIGH part is rounded to zero, LOW - to nearest
+//
+// x = (nfloat * pi/2^k) + r
+//    r is small enough that we can use a polynomial approximation
+//    and is referred to as the reduced argument.
+//
+// Step 3
+// ======
+// Take the unreduced part and remove the multiples of 2pi.
+// So nfloat = nfloat (with lower k+1 bits cleared) + lower k+1 bits
+//
+//    nfloat (with lower k+1 bits cleared) is a multiple of 2^(k+1)
+//    N * 2^(k+1)
+//    nfloat * pi/2^k = N * 2^(k+1) * pi/2^k + (lower k+1 bits) * pi/2^k
+//    nfloat * pi/2^k = N * 2 * pi + (lower k+1 bits) * pi/2^k
+//    nfloat * pi/2^k = N2pi + M * pi/2^k
+//
+//
+// Sin(x) = Sin((nfloat * pi/2^k) + r)
+//        = Sin(nfloat * pi/2^k) * Cos(r) + Cos(nfloat * pi/2^k) * Sin(r)
+//
+//          Sin(nfloat * pi/2^k) = Sin(N2pi + Mpi/2^k)
+//                               = Sin(N2pi)Cos(Mpi/2^k) + Cos(N2pi)Sin(Mpi/2^k)
+//                               = Sin(Mpi/2^k)
+//
+//          Cos(nfloat * pi/2^k) = Cos(N2pi + Mpi/2^k)
+//                               = Cos(N2pi)Cos(Mpi/2^k) + Sin(N2pi)Sin(Mpi/2^k)
+//                               = Cos(Mpi/2^k)
+//
+// Sin(x) = Sin(Mpi/2^k) Cos(r) + Cos(Mpi/2^k) Sin(r)
+//
+//
+// Step 4
+// ======
+// 0 <= M < 2^(k+1)
+// There are 2^(k+1) Sin entries in a table.
+// There are 2^(k+1) Cos entries in a table.
+//
+// Get Sin(Mpi/2^k) and Cos(Mpi/2^k) by table lookup.
+//
+//
+// Step 5
+// ======
+// Calculate Cos(r) and Sin(r) by polynomial approximation.
+//
+// Cos(r) = 1 + r^2 q1  + r^4 q2  = Series for Cos
+// Sin(r) = r + r^3 p1  + r^5 p2  = Series for Sin
+//
+// and the coefficients q1, q2 and p1, p2 are stored in a table
+//
+//
+// Calculate
+// Sin(x) = Sin(Mpi/2^k) Cos(r) + Cos(Mpi/2^k) Sin(r)
+//
+// as follows
+//
+//    S[m] = Sin(Mpi/2^k) and C[m] = Cos(Mpi/2^k)
+//    rsq = r*r
+//
+//
+//    P = P1 + r^2*P2
+//    Q = Q1 + r^2*Q2
+//
+//       rcub = r * rsq
+//       Sin(r) = r + rcub * P
+//              = r + r^3p1  + r^5p2 = Sin(r)
+//
+//            The coefficients are not exactly these values, but almost.
+//
+//            p1 = -1/6  = -1/3!
+//            p2 = 1/120 =  1/5!
+//            p3 = -1/5040 = -1/7!
+//            p4 = 1/362889 = 1/9!
+//
+//       P =  r + r^3 * P
+//
+//    Answer = S[m] Cos(r) + C[m] P
+//
+//       Cos(r) = 1 + rsq Q
+//       Cos(r) = 1 + r^2 Q
+//       Cos(r) = 1 + r^2 (q1 + r^2q2)
+//       Cos(r) = 1 + r^2q1 + r^4q2
+//
+//       S[m] Cos(r) = S[m](1 + rsq Q)
+//       S[m] Cos(r) = S[m] + S[m] rsq Q
+//       S[m] Cos(r) = S[m] + s_rsq Q
+//       Q         = S[m] + s_rsq Q
+//
+// Then,
+//
+//    Answer = Q + C[m] P
+
+
+// Registers used
 //==============================================================
+// general input registers:
+// r14 -> r19
+// r32 -> r45
 
-// SIN_Sin_Flag               = p6
-// SIN_Cos_Flag               = p7
-
-// integer registers used
-
- SIN_AD_PQ_1                = r33
- SIN_AD_PQ_2                = r33
- sin_GR_sincos_flag         = r34
- sin_GR_Mint                = r35
-
- sin_GR_index               = r36
- gr_tmp                     = r37
-
- GR_SAVE_B0                 = r37
- GR_SAVE_GP                 = r38
- GR_SAVE_PFS                = r39
-
-
-// floating point registers used
-
- sin_coeff_P1               = f32
- sin_coeff_P2               = f33
- sin_coeff_Q1               = f34
- sin_coeff_Q2               = f35
- sin_coeff_P4               = f36
- sin_coeff_P5               = f37
- sin_coeff_Q3               = f38
- sin_coeff_Q4               = f39
- sin_Mx                     = f40
- sin_Mfloat                 = f41
- sin_tbl_S                  = f42
- sin_tbl_C                  = f43
- sin_r                      = f44
- sin_rcube                  = f45
- sin_tsq                    = f46
- sin_r7                     = f47
- sin_t                      = f48
- sin_poly_p2                = f49
- sin_poly_p1                = f50
- fp_tmp                     = f51
- sin_poly_p3                = f52
- sin_poly_p4                = f53
- sin_of_r                   = f54
- sin_S_t                    = f55
- sin_poly_q2                = f56
- sin_poly_q1                = f57
- sin_S_tcube                = f58
- sin_poly_q3                = f59
- sin_poly_q4                = f60
- sin_tbl_S_tcube            = f61
- sin_tbl_S_cos_of_r         = f62
-
- sin_coeff_Q5               = f63
- sin_coeff_Q6               = f64
- sin_coeff_P3               = f65
-
- sin_poly_q5                = f66
- sin_poly_q12               = f67
- sin_poly_q3456             = f68
- fp_tmp2                    = f69
- SIN_NORM_f8                = f70
-
-
-#ifdef _LIBC
-.rodata
-#else
-.data
-#endif
+// predicate registers used:
+// p6 -> p14
 
-.align 16
+// floating-point registers used
+// f9 -> f15
+// f32 -> f61
 
-sin_coeff_1_table:
-ASM_TYPE_DIRECTIVE(sin_coeff_1_table,@object)
-data8 0xBF56C16C16BF6462       // q3
-data8 0x3EFA01A0128B9EBC       // q4
-data8 0xBE927E42FDF33FFE       // q5
-data8 0x3E21DA5C72A446F3       // q6
-data8 0x3EC71DD1D5E421A4       // p4
-data8 0xBE5AC5C9D0ACF95A       // p5
-data8 0xBFC55555555554CA       // p1
-data8 0x3F811111110F2395       // p2
-data8 0xBFE0000000000000       // q1
-data8 0x3FA55555555554EF       // q2
-data8 0xBF2A01A011232913       // p3
-data8 0x0000000000000000       // pad
- 
-
-/////////////////////////////////////////
-
-data8 0xBFE1A54991426566   //sin(-32)
-data8 0x3FEAB1F5305DE8E5   //cos(-32)
-data8 0x3FD9DBC0B640FC81   //sin(-31)
-data8 0x3FED4591C3E12A20   //cos(-31)
-data8 0x3FEF9DF47F1C903D   //sin(-30)
-data8 0x3FC3BE82F2505A52   //cos(-30)
-data8 0x3FE53C7D20A6C9E7   //sin(-29)
-data8 0xBFE7F01658314E47   //cos(-29)
-data8 0xBFD156853B4514D6   //sin(-28)
-data8 0xBFEECDAAD1582500   //cos(-28)
-data8 0xBFEE9AA1B0E5BA30   //sin(-27)
-data8 0xBFD2B266F959DED5   //cos(-27)
-data8 0xBFE866E0FAC32583   //sin(-26)
-data8 0x3FE4B3902691A9ED   //cos(-26)
-data8 0x3FC0F0E6F31E809D   //sin(-25)
-data8 0x3FEFB7EEF59504FF   //cos(-25)
-data8 0x3FECFA7F7919140F   //sin(-24)
-data8 0x3FDB25BFB50A609A   //cos(-24)
-data8 0x3FEB143CD0247D02   //sin(-23)
-data8 0xBFE10CF7D591F272   //cos(-23)
-data8 0x3F8220A29F6EB9F4   //sin(-22)
-data8 0xBFEFFFADD8D4ACDA   //cos(-22)
-data8 0xBFEAC5E20BB0D7ED   //sin(-21)
-data8 0xBFE186FF83773759   //cos(-21)
-data8 0xBFED36D8F55D3CE0   //sin(-20)
-data8 0x3FDA1E043964A83F   //cos(-20)
-data8 0xBFC32F2D28F584CF   //sin(-19)
-data8 0x3FEFA377DE108258   //cos(-19)
-data8 0x3FE8081668131E26   //sin(-18)
-data8 0x3FE52150815D2470   //cos(-18)
-data8 0x3FEEC3C4AC42882B   //sin(-17)
-data8 0xBFD19C46B07F58E7   //cos(-17)
-data8 0x3FD26D02085F20F8   //sin(-16)
-data8 0xBFEEA5257E962F74   //cos(-16)
-data8 0xBFE4CF2871CEC2E8   //sin(-15)
-data8 0xBFE84F5D069CA4F3   //cos(-15)
-data8 0xBFEFB30E327C5E45   //sin(-14)
-data8 0x3FC1809AEC2CA0ED   //cos(-14)
-data8 0xBFDAE4044881C506   //sin(-13)
-data8 0x3FED09CDD5260CB7   //cos(-13)
-data8 0x3FE12B9AF7D765A5   //sin(-12)
-data8 0x3FEB00DA046B65E3   //cos(-12)
-data8 0x3FEFFFEB762E93EB   //sin(-11)
-data8 0x3F7220AE41EE2FDF   //cos(-11)
-data8 0x3FE1689EF5F34F52   //sin(-10)
-data8 0xBFEAD9AC890C6B1F   //cos(-10)
-data8 0xBFDA6026360C2F91   //sin( -9)
-data8 0xBFED27FAA6A6196B   //cos( -9)
-data8 0xBFEFA8D2A028CF7B   //sin( -8)
-data8 0xBFC29FBEBF632F94   //cos( -8)
-data8 0xBFE50608C26D0A08   //sin( -7)
-data8 0x3FE81FF79ED92017   //cos( -7)
-data8 0x3FD1E1F18AB0A2C0   //sin( -6)
-data8 0x3FEEB9B7097822F5   //cos( -6)
-data8 0x3FEEAF81F5E09933   //sin( -5)
-data8 0x3FD22785706B4AD9   //cos( -5)
-data8 0x3FE837B9DDDC1EAE   //sin( -4)
-data8 0xBFE4EAA606DB24C1   //cos( -4)
-data8 0xBFC210386DB6D55B   //sin( -3)
-data8 0xBFEFAE04BE85E5D2   //cos( -3)
-data8 0xBFED18F6EAD1B446   //sin( -2)
-data8 0xBFDAA22657537205   //cos( -2)
-data8 0xBFEAED548F090CEE   //sin( -1)
-data8 0x3FE14A280FB5068C   //cos( -1)
-data8 0x0000000000000000   //sin(  0)
-data8 0x3FF0000000000000   //cos(  0)
-data8 0x3FEAED548F090CEE   //sin(  1)
-data8 0x3FE14A280FB5068C   //cos(  1)
-data8 0x3FED18F6EAD1B446   //sin(  2)
-data8 0xBFDAA22657537205   //cos(  2)
-data8 0x3FC210386DB6D55B   //sin(  3)
-data8 0xBFEFAE04BE85E5D2   //cos(  3)
-data8 0xBFE837B9DDDC1EAE   //sin(  4)
-data8 0xBFE4EAA606DB24C1   //cos(  4)
-data8 0xBFEEAF81F5E09933   //sin(  5)
-data8 0x3FD22785706B4AD9   //cos(  5)
-data8 0xBFD1E1F18AB0A2C0   //sin(  6)
-data8 0x3FEEB9B7097822F5   //cos(  6)
-data8 0x3FE50608C26D0A08   //sin(  7)
-data8 0x3FE81FF79ED92017   //cos(  7)
-data8 0x3FEFA8D2A028CF7B   //sin(  8)
-data8 0xBFC29FBEBF632F94   //cos(  8)
-data8 0x3FDA6026360C2F91   //sin(  9)
-data8 0xBFED27FAA6A6196B   //cos(  9)
-data8 0xBFE1689EF5F34F52   //sin( 10)
-data8 0xBFEAD9AC890C6B1F   //cos( 10)
-data8 0xBFEFFFEB762E93EB   //sin( 11)
-data8 0x3F7220AE41EE2FDF   //cos( 11)
-data8 0xBFE12B9AF7D765A5   //sin( 12)
-data8 0x3FEB00DA046B65E3   //cos( 12)
-data8 0x3FDAE4044881C506   //sin( 13)
-data8 0x3FED09CDD5260CB7   //cos( 13)
-data8 0x3FEFB30E327C5E45   //sin( 14)
-data8 0x3FC1809AEC2CA0ED   //cos( 14)
-data8 0x3FE4CF2871CEC2E8   //sin( 15)
-data8 0xBFE84F5D069CA4F3   //cos( 15)
-data8 0xBFD26D02085F20F8   //sin( 16)
-data8 0xBFEEA5257E962F74   //cos( 16)
-data8 0xBFEEC3C4AC42882B   //sin( 17)
-data8 0xBFD19C46B07F58E7   //cos( 17)
-data8 0xBFE8081668131E26   //sin( 18)
-data8 0x3FE52150815D2470   //cos( 18)
-data8 0x3FC32F2D28F584CF   //sin( 19)
-data8 0x3FEFA377DE108258   //cos( 19)
-data8 0x3FED36D8F55D3CE0   //sin( 20)
-data8 0x3FDA1E043964A83F   //cos( 20)
-data8 0x3FEAC5E20BB0D7ED   //sin( 21)
-data8 0xBFE186FF83773759   //cos( 21)
-data8 0xBF8220A29F6EB9F4   //sin( 22)
-data8 0xBFEFFFADD8D4ACDA   //cos( 22)
-data8 0xBFEB143CD0247D02   //sin( 23)
-data8 0xBFE10CF7D591F272   //cos( 23)
-data8 0xBFECFA7F7919140F   //sin( 24)
-data8 0x3FDB25BFB50A609A   //cos( 24)
-data8 0xBFC0F0E6F31E809D   //sin( 25)
-data8 0x3FEFB7EEF59504FF   //cos( 25)
-data8 0x3FE866E0FAC32583   //sin( 26)
-data8 0x3FE4B3902691A9ED   //cos( 26)
-data8 0x3FEE9AA1B0E5BA30   //sin( 27)
-data8 0xBFD2B266F959DED5   //cos( 27)
-data8 0x3FD156853B4514D6   //sin( 28)
-data8 0xBFEECDAAD1582500   //cos( 28)
-data8 0xBFE53C7D20A6C9E7   //sin( 29)
-data8 0xBFE7F01658314E47   //cos( 29)
-data8 0xBFEF9DF47F1C903D   //sin( 30)
-data8 0x3FC3BE82F2505A52   //cos( 30)
-data8 0xBFD9DBC0B640FC81   //sin( 31)
-data8 0x3FED4591C3E12A20   //cos( 31)
-data8 0x3FE1A54991426566   //sin( 32)
-data8 0x3FEAB1F5305DE8E5   //cos( 32)
-ASM_SIZE_DIRECTIVE(sin_coeff_1_table)
-
-//////////////////////////////////////////
-
-
-.global sinf
-.global cosf
-#ifdef _LIBC
-.global __sinf
-.global __cosf
-#endif
-
-.text
-.proc cosf
-#ifdef _LIBC
-.proc __cosf
-#endif
-.align 32
-
-
-cosf:
-#ifdef _LIBC
-__cosf:
-#endif
-{ .mfi
-     alloc          r32                      = ar.pfs,1,7,0,0
-     fcvt.fx.s1     sin_Mx                   =    f8
-     cmp.ne    p6,p7     =    r0,r0        // p7 set if cos
-}
-{ .mfi
-     addl           SIN_AD_PQ_1              =    @ltoff(sin_coeff_1_table),gp
-     fnorm.s0 SIN_NORM_f8 = f8        // Sets denormal or invalid
-     mov sin_GR_sincos_flag = 0x0
-}
-;;
+// Assembly macros
+//==============================================================
+sincosf_NORM_f8                 = f9
+sincosf_W                       = f10
+sincosf_int_Nfloat              = f11
+sincosf_Nfloat                  = f12
 
-{ .mfi
-     ld8       SIN_AD_PQ_1    =    [SIN_AD_PQ_1]
-     fclass.m.unc  p9,p0      =    f8, 0x07
-     cmp.ne p8,p0 = r0,r0
-}
-{ .mfb
-     nop.m 999
-     nop.f 999
-     br.sptk L(SINCOSF_COMMON)
-}
-;;
+sincosf_r                       = f13
+sincosf_rsq                     = f14
+sincosf_rcub                    = f15
+sincosf_save_tmp                = f15
 
-.endp cosf
-ASM_SIZE_DIRECTIVE(cosf)
+sincosf_Inv_Pi_by_16            = f32
+sincosf_Pi_by_16_1              = f33
+sincosf_Pi_by_16_2              = f34
 
+sincosf_Inv_Pi_by_64            = f35
 
-.text
-.proc  sinf
-#ifdef _LIBC
-.proc  __sinf
-#endif
-.align 32
+sincosf_Pi_by_16_3              = f36
 
-sinf:
-#ifdef _LIBC
-__sinf:	
-#endif
-{ .mfi
-     alloc          r32                      = ar.pfs,1,7,0,0
-     fcvt.fx.s1     sin_Mx                   =    f8
-     cmp.eq    p6,p7     =    r0,r0        // p6 set if sin
-}
-{ .mfi
-     addl           SIN_AD_PQ_1              =    @ltoff(sin_coeff_1_table),gp
-     fnorm.s0 SIN_NORM_f8 = f8        // Sets denormal or invalid
-     mov sin_GR_sincos_flag = 0x1
-}
-;;
+sincosf_r_exact                 = f37
 
-{ .mfi
-     ld8       SIN_AD_PQ_1    =    [SIN_AD_PQ_1]
-     fclass.m.unc  p8,p0      =    f8, 0x07
-     cmp.ne p9,p0 = r0,r0
-}
-{ .mfb
-     nop.m 999
-     nop.f 999
-     br.sptk L(SINCOSF_COMMON)
-}
-;;
+sincosf_Sm                      = f38
+sincosf_Cm                      = f39
 
+sincosf_P1                      = f40
+sincosf_Q1                      = f41
+sincosf_P2                      = f42
+sincosf_Q2                      = f43
+sincosf_P3                      = f44
+sincosf_Q3                      = f45
+sincosf_P4                      = f46
+sincosf_Q4                      = f47
 
-L(SINCOSF_COMMON):
+sincosf_P_temp1                 = f48
+sincosf_P_temp2                 = f49
 
-// Here with p6 if sin, p7 if cos, p8 if sin(0), p9 if cos(0)
+sincosf_Q_temp1                 = f50
+sincosf_Q_temp2                 = f51
 
+sincosf_P                       = f52
+sincosf_Q                       = f53
 
-{ .mmf
-     ldfpd      sin_coeff_Q3, sin_coeff_Q4     = [SIN_AD_PQ_1], 16
-     nop.m 999
-     fclass.m.unc  p11,p0      =    f8, 0x23	// Test for x=inf
-}
-;;
+sincosf_srsq                    = f54
 
-{ .mfb
-     ldfpd      sin_coeff_Q5, sin_coeff_Q6     = [SIN_AD_PQ_1], 16
-     fclass.m.unc  p10,p0      =    f8, 0xc3	// Test for x=nan
-(p8) br.ret.spnt b0                   // Exit for sin(0)
-}
-{ .mfb
-     nop.m 999
-(p9) fma.s      f8 = f1,f1,f0
-(p9) br.ret.spnt b0                   // Exit for cos(0)
-}
-;;
+sincosf_SIG_INV_PI_BY_16_2TO61  = f55
+sincosf_RSHF_2TO61              = f56
+sincosf_RSHF                    = f57
+sincosf_2TOM61                  = f58
+sincosf_NFLOAT                  = f59
+sincosf_W_2TO61_RSH             = f60
 
-{ .mmf
-     ldfpd      sin_coeff_P4, sin_coeff_P5     = [SIN_AD_PQ_1], 16
-     addl gr_tmp = -1,r0
-     fcvt.xf    sin_Mfloat                     =    sin_Mx
-}
-;;
+fp_tmp                          = f61
 
-{     .mfi
-     getf.sig  sin_GR_Mint    =    sin_Mx
-(p11) frcpa.s0      f8,p13      =    f0,f0  // qnan indef if x=inf
-     nop.i 999
-}
-{     .mfb
-     ldfpd      sin_coeff_P1, sin_coeff_P2     = [SIN_AD_PQ_1], 16
-     nop.f 999
-(p11) br.ret.spnt b0                   // Exit for x=inf
-}
-;;
+/////////////////////////////////////////////////////////////
 
-{     .mfi
-     ldfpd      sin_coeff_Q1, sin_coeff_Q2     = [SIN_AD_PQ_1], 16
-     nop.f                      999
-     cmp.ge    p8,p9          = -33,sin_GR_Mint
-}
-{     .mfb
-     add       sin_GR_index   =    32,sin_GR_Mint
-(p10) fma.s      f8 = f8,f1,f0         // Force qnan if x=nan
-(p10) br.ret.spnt b0                   // Exit for x=nan
-}
-;;
+sincosf_AD_1                    = r33
+sincosf_AD_2                    = r34
+sincosf_exp_limit               = r35
+sincosf_r_signexp               = r36
+sincosf_AD_beta_table           = r37
+sincosf_r_sincos                = r38
 
-{ .mmi
-     ldfd      sin_coeff_P3   = [SIN_AD_PQ_1], 16
-(p9) cmp.le    p8,p0        = 33, sin_GR_Mint 
-     shl       sin_GR_index   =    sin_GR_index,4
-}
-;;
+sincosf_r_exp                   = r39
+sincosf_r_17_ones               = r40
 
+sincosf_GR_sig_inv_pi_by_16     = r14
+sincosf_GR_rshf_2to61           = r15
+sincosf_GR_rshf                 = r16
+sincosf_GR_exp_2tom61           = r17
+sincosf_GR_n                    = r18
+sincosf_GR_m                    = r19
+sincosf_GR_32m                  = r19
+sincosf_GR_all_ones             = r19
 
-{     .mfi
-     setf.sig fp_tmp = gr_tmp  // Create constant such that fmpy sets inexact
-     fnma.s1   sin_r     =    f1,sin_Mfloat,SIN_NORM_f8
-(p8) cmp.eq.unc p11,p12=sin_GR_sincos_flag,r0  // p11 if must call dbl cos
-                                               // p12 if must call dbl sin
-}
-{    .mbb
-     add       SIN_AD_PQ_2    =    sin_GR_index,SIN_AD_PQ_1
-(p11) br.cond.spnt COS_DOUBLE
-(p12) br.cond.spnt SIN_DOUBLE
-}
-;;
+gr_tmp                          = r41
+GR_SAVE_PFS                     = r41
+GR_SAVE_B0                      = r42
+GR_SAVE_GP                      = r43
 
-.pred.rel "mutex",p6,p7    //SIN_Sin_Flag, SIN_Cos_Flag
-{     .mmi
-(p6) ldfpd     sin_tbl_S,sin_tbl_C =    [SIN_AD_PQ_2]
-(p7) ldfpd     sin_tbl_C,sin_tbl_S =    [SIN_AD_PQ_2]
-               nop.i                           999
-}
-;;
+RODATA
+.align 16
 
-{     .mfi
-     nop.m                 999
-(p6) fclass.m.unc p8,p0 = f8, 0x0b // If sin, note denormal input to set uflow
-     nop.i                 999
-}
-{     .mfi
-     nop.m                 999
-     fma.s1    sin_t     =    sin_r,sin_r,f0
-     nop.i                 999
-}
-;;
+// Pi/16 parts
+LOCAL_OBJECT_START(double_sincosf_pi)
+   data8 0xC90FDAA22168C234, 0x00003FFC // pi/16 1st part
+   data8 0xC4C6628B80DC1CD1, 0x00003FBC // pi/16 2nd part
+LOCAL_OBJECT_END(double_sincosf_pi)
+
+// Coefficients for polynomials
+LOCAL_OBJECT_START(double_sincosf_pq_k4)
+   data8 0x3F810FABB668E9A2 // P2
+   data8 0x3FA552E3D6DE75C9 // Q2
+   data8 0xBFC555554447BC7F // P1
+   data8 0xBFDFFFFFC447610A // Q1
+LOCAL_OBJECT_END(double_sincosf_pq_k4)
+
+// Sincos table (S[m], C[m])
+LOCAL_OBJECT_START(double_sin_cos_beta_k4)
+    data8 0x0000000000000000 // sin ( 0 Pi / 16 )
+    data8 0x3FF0000000000000 // cos ( 0 Pi / 16 )
+//
+    data8 0x3FC8F8B83C69A60B // sin ( 1 Pi / 16 )
+    data8 0x3FEF6297CFF75CB0 // cos ( 1 Pi / 16 )
+//
+    data8 0x3FD87DE2A6AEA963 // sin ( 2 Pi / 16 )
+    data8 0x3FED906BCF328D46 // cos ( 2 Pi / 16 )
+//
+    data8 0x3FE1C73B39AE68C8 // sin ( 3 Pi / 16 )
+    data8 0x3FEA9B66290EA1A3 // cos ( 3 Pi / 16 )
+//
+    data8 0x3FE6A09E667F3BCD // sin ( 4 Pi / 16 )
+    data8 0x3FE6A09E667F3BCD // cos ( 4 Pi / 16 )
+//
+    data8 0x3FEA9B66290EA1A3 // sin ( 5 Pi / 16 )
+    data8 0x3FE1C73B39AE68C8 // cos ( 5 Pi / 16 )
+//
+    data8 0x3FED906BCF328D46 // sin ( 6 Pi / 16 )
+    data8 0x3FD87DE2A6AEA963 // cos ( 6 Pi / 16 )
+//
+    data8 0x3FEF6297CFF75CB0 // sin ( 7 Pi / 16 )
+    data8 0x3FC8F8B83C69A60B // cos ( 7 Pi / 16 )
+//
+    data8 0x3FF0000000000000 // sin ( 8 Pi / 16 )
+    data8 0x0000000000000000 // cos ( 8 Pi / 16 )
+//
+    data8 0x3FEF6297CFF75CB0 // sin ( 9 Pi / 16 )
+    data8 0xBFC8F8B83C69A60B // cos ( 9 Pi / 16 )
+//
+    data8 0x3FED906BCF328D46 // sin ( 10 Pi / 16 )
+    data8 0xBFD87DE2A6AEA963 // cos ( 10 Pi / 16 )
+//
+    data8 0x3FEA9B66290EA1A3 // sin ( 11 Pi / 16 )
+    data8 0xBFE1C73B39AE68C8 // cos ( 11 Pi / 16 )
+//
+    data8 0x3FE6A09E667F3BCD // sin ( 12 Pi / 16 )
+    data8 0xBFE6A09E667F3BCD // cos ( 12 Pi / 16 )
+//
+    data8 0x3FE1C73B39AE68C8 // sin ( 13 Pi / 16 )
+    data8 0xBFEA9B66290EA1A3 // cos ( 13 Pi / 16 )
+//
+    data8 0x3FD87DE2A6AEA963 // sin ( 14 Pi / 16 )
+    data8 0xBFED906BCF328D46 // cos ( 14 Pi / 16 )
+//
+    data8 0x3FC8F8B83C69A60B // sin ( 15 Pi / 16 )
+    data8 0xBFEF6297CFF75CB0 // cos ( 15 Pi / 16 )
+//
+    data8 0x0000000000000000 // sin ( 16 Pi / 16 )
+    data8 0xBFF0000000000000 // cos ( 16 Pi / 16 )
+//
+    data8 0xBFC8F8B83C69A60B // sin ( 17 Pi / 16 )
+    data8 0xBFEF6297CFF75CB0 // cos ( 17 Pi / 16 )
+//
+    data8 0xBFD87DE2A6AEA963 // sin ( 18 Pi / 16 )
+    data8 0xBFED906BCF328D46 // cos ( 18 Pi / 16 )
+//
+    data8 0xBFE1C73B39AE68C8 // sin ( 19 Pi / 16 )
+    data8 0xBFEA9B66290EA1A3 // cos ( 19 Pi / 16 )
+//
+    data8 0xBFE6A09E667F3BCD // sin ( 20 Pi / 16 )
+    data8 0xBFE6A09E667F3BCD // cos ( 20 Pi / 16 )
+//
+    data8 0xBFEA9B66290EA1A3 // sin ( 21 Pi / 16 )
+    data8 0xBFE1C73B39AE68C8 // cos ( 21 Pi / 16 )
+//
+    data8 0xBFED906BCF328D46 // sin ( 22 Pi / 16 )
+    data8 0xBFD87DE2A6AEA963 // cos ( 22 Pi / 16 )
+//
+    data8 0xBFEF6297CFF75CB0 // sin ( 23 Pi / 16 )
+    data8 0xBFC8F8B83C69A60B // cos ( 23 Pi / 16 )
+//
+    data8 0xBFF0000000000000 // sin ( 24 Pi / 16 )
+    data8 0x0000000000000000 // cos ( 24 Pi / 16 )
+//
+    data8 0xBFEF6297CFF75CB0 // sin ( 25 Pi / 16 )
+    data8 0x3FC8F8B83C69A60B // cos ( 25 Pi / 16 )
+//
+    data8 0xBFED906BCF328D46 // sin ( 26 Pi / 16 )
+    data8 0x3FD87DE2A6AEA963 // cos ( 26 Pi / 16 )
+//
+    data8 0xBFEA9B66290EA1A3 // sin ( 27 Pi / 16 )
+    data8 0x3FE1C73B39AE68C8 // cos ( 27 Pi / 16 )
+//
+    data8 0xBFE6A09E667F3BCD // sin ( 28 Pi / 16 )
+    data8 0x3FE6A09E667F3BCD // cos ( 28 Pi / 16 )
+//
+    data8 0xBFE1C73B39AE68C8 // sin ( 29 Pi / 16 )
+    data8 0x3FEA9B66290EA1A3 // cos ( 29 Pi / 16 )
+//
+    data8 0xBFD87DE2A6AEA963 // sin ( 30 Pi / 16 )
+    data8 0x3FED906BCF328D46 // cos ( 30 Pi / 16 )
+//
+    data8 0xBFC8F8B83C69A60B // sin ( 31 Pi / 16 )
+    data8 0x3FEF6297CFF75CB0 // cos ( 31 Pi / 16 )
+//
+    data8 0x0000000000000000 // sin ( 32 Pi / 16 )
+    data8 0x3FF0000000000000 // cos ( 32 Pi / 16 )
+LOCAL_OBJECT_END(double_sin_cos_beta_k4)
 
-{     .mfi
-     nop.m                 999
-     fma.s1    sin_rcube =    sin_t,sin_r,f0
-     nop.i                 999
-}
-{     .mfi
-     nop.m                 999
-     fma.s1    sin_tsq   =    sin_t,sin_t,f0
-     nop.i                 999
-}
-;;
+.section .text
 
-{     .mfi
-     nop.m                      999
-     fma.s1    sin_poly_q3    =    sin_t,sin_coeff_Q4,sin_coeff_Q3
-     nop.i                      999
-}
-{     .mfi
-     nop.m                      999
-     fma.s1    sin_poly_q5    =    sin_t,sin_coeff_Q6,sin_coeff_Q5
-     nop.i                      999
-}
-;;
+////////////////////////////////////////////////////////
+// There are two entry points: sin and cos
+// If from sin, p8 is true
+// If from cos, p9 is true
 
-{     .mfi
-     nop.m                      999
-     fma.s1    sin_poly_p1    =    sin_t,sin_coeff_P5,sin_coeff_P4
-     nop.i                      999
-}
-{     .mfi
-     nop.m                      999
-     fma.s1    sin_poly_p2    =    sin_t,sin_coeff_P2,sin_coeff_P1
-     nop.i                      999
-}
-;;
+GLOBAL_IEEE754_ENTRY(sinf)
 
-{     .mfi
-     nop.m                      999
-     fma.s1    sin_poly_q1    =    sin_t,sin_coeff_Q2,sin_coeff_Q1
-     nop.i                      999
+{ .mlx
+      alloc         r32                 = ar.pfs,1,13,0,0
+      movl  sincosf_GR_sig_inv_pi_by_16 = 0xA2F9836E4E44152A //signd of 16/pi
 }
-{     .mfi
-     nop.m                      999
-     fma.s1    sin_S_t   =    sin_t,sin_tbl_S,f0
-     nop.i                      999
-}
-;;
+{ .mlx
+      addl         sincosf_AD_1         = @ltoff(double_sincosf_pi), gp
+      movl  sincosf_GR_rshf_2to61       = 0x47b8000000000000 // 1.1 2^(63+63-2)
+};;
 
-{     .mfi
-     nop.m                 999
-(p8) fmpy.s.s0 fp_tmp2 = f8,f8  // Dummy mult to set underflow if sin(denormal)
-     nop.i                 999
-}
-{     .mfi
-     nop.m                 999
-     fma.s1    sin_r7    =    sin_rcube,sin_tsq,f0
-     nop.i                 999
+{ .mfi
+      ld8           sincosf_AD_1        = [sincosf_AD_1]
+      fnorm.s1      sincosf_NORM_f8     = f8     // Normalize argument
+      cmp.eq        p8,p9               = r0, r0 // set p8 (clear p9) for sin
 }
-;;
+{ .mib
+      mov           sincosf_GR_exp_2tom61 = 0xffff-61 // exponent of scale 2^-61
+      mov           sincosf_r_sincos      = 0x0       // 0 for sin
+      br.cond.sptk  _SINCOSF_COMMON                 // go to common part
+};;
 
-{     .mfi
-     nop.m                      999
-     fma.s1    sin_poly_q3456 =    sin_tsq,sin_poly_q5,sin_poly_q3
-     nop.i                      999
-}
-;;
+GLOBAL_IEEE754_END(sinf)
+GLOBAL_IEEE754_ENTRY(cosf)
 
-{     .mfi
-     nop.m                      999
-     fma.s1    sin_poly_p3    =    sin_t,sin_poly_p1,sin_coeff_P3
-     nop.i                      999
-}
-{     .mfi
-     nop.m                      999
-     fma.s1    sin_poly_p4    =    sin_rcube,sin_poly_p2,sin_r
-     nop.i                      999
+{ .mlx
+      alloc         r32                 = ar.pfs,1,13,0,0
+      movl  sincosf_GR_sig_inv_pi_by_16 = 0xA2F9836E4E44152A //signd of 16/pi
 }
-;;
+{ .mlx
+      addl          sincosf_AD_1        = @ltoff(double_sincosf_pi), gp
+      movl  sincosf_GR_rshf_2to61       = 0x47b8000000000000 // 1.1 2^(63+63-2)
+};;
 
-{     .mfi
-     nop.m                           999
-     fma.s1    sin_tbl_S_tcube     =    sin_S_t,sin_tsq,f0
-     nop.i                           999
-}
-{     .mfi
-     nop.m                      999
-     fma.s1    sin_poly_q12   =    sin_S_t,sin_poly_q1,sin_tbl_S
-     nop.i                      999
+{ .mfi
+      ld8           sincosf_AD_1        = [sincosf_AD_1]
+      fnorm.s1      sincosf_NORM_f8     = f8        // Normalize argument
+      cmp.eq        p9,p8               = r0, r0    // set p9 (clear p8) for cos
 }
-;;
+{ .mib
+      mov           sincosf_GR_exp_2tom61 = 0xffff-61 // exponent of scale 2^-61
+      mov           sincosf_r_sincos      = 0x8       // 8 for cos
+      nop.b         999
+};;
+
+////////////////////////////////////////////////////////
+// All entry points end up here.
+// If from sin, sincosf_r_sincos is 0 and p8 is true
+// If from cos, sincosf_r_sincos is 8 = 2^(k-1) and p9 is true
+// We add sincosf_r_sincos to N
+
+///////////// Common sin and cos part //////////////////
+_SINCOSF_COMMON:
+
+//  Form two constants we need
+//  16/pi * 2^-2 * 2^63, scaled by 2^61 since we just loaded the significand
+//  1.1000...000 * 2^(63+63-2) to right shift int(W) into the low significand
+//  fcmp used to set denormal, and invalid on snans
+{ .mfi
+      setf.sig      sincosf_SIG_INV_PI_BY_16_2TO61 = sincosf_GR_sig_inv_pi_by_16
+      fclass.m      p6,p0                          = f8, 0xe7 // if x=0,inf,nan
+      mov           sincosf_exp_limit              = 0x10017
+}
+{ .mlx
+      setf.d        sincosf_RSHF_2TO61  = sincosf_GR_rshf_2to61
+      movl          sincosf_GR_rshf     = 0x43e8000000000000 // 1.1000 2^63
+};;                                                          // Right shift
+
+//  Form another constant
+//  2^-61 for scaling Nfloat
+//  0x10017 is register_bias + 24.
+//  So if f8 >= 2^24, go to large argument routines
+{ .mmi
+      getf.exp      sincosf_r_signexp   = f8
+      setf.exp      sincosf_2TOM61      = sincosf_GR_exp_2tom61
+      addl          gr_tmp              = -1,r0 // For "inexect" constant create
+};;
+
+// Load the two pieces of pi/16
+// Form another constant
+//  1.1000...000 * 2^63, the right shift constant
+{ .mmb
+      ldfe          sincosf_Pi_by_16_1  = [sincosf_AD_1],16
+      setf.d        sincosf_RSHF        = sincosf_GR_rshf
+(p6)  br.cond.spnt  _SINCOSF_SPECIAL_ARGS
+};;
 
-{     .mfi
-     nop.m                 999
-     fma.d.s1  sin_of_r  =    sin_r7,sin_poly_p3,sin_poly_p4
-     nop.i                 999
-}
-;;
+// Getting argument's exp for "large arguments" filtering
+{ .mmi
+      ldfe          sincosf_Pi_by_16_2  = [sincosf_AD_1],16
+      setf.sig      fp_tmp              = gr_tmp // constant for inexact set
+      nop.i         999
+};;
 
-{     .mfi
-     nop.m                           999
-     fma.d.s1  sin_tbl_S_cos_of_r  =    sin_tbl_S_tcube,sin_poly_q3456,sin_poly_q12
-     nop.i                           999
-}
-{     .mfi
-     nop.m                           999
-     fmpy.s0   fp_tmp = fp_tmp, fp_tmp  // Dummy mult to set inexact
-     nop.i                           999
-}
-;;
+// Polynomial coefficients (Q2, Q1, P2, P1) loading
+{ .mmi
+      ldfpd         sincosf_P2,sincosf_Q2 = [sincosf_AD_1],16
+      nop.m         999 
+      nop.i         999 
+};;
 
+// Select exponent (17 lsb)
+{ .mmi
+      ldfpd         sincosf_P1,sincosf_Q1 = [sincosf_AD_1],16
+      nop.m         999 
+      dep.z         sincosf_r_exp         = sincosf_r_signexp, 0, 17
+};;
 
-.pred.rel "mutex",p6,p7    //SIN_Sin_Flag, SIN_Cos_Flag
-{     .mfi
-               nop.m            999
-//(SIN_Sin_Flag) fma.s     f8   =    sin_tbl_C,sin_of_r,sin_tbl_S_cos_of_r
-(p6) fma.s     f8   =    sin_tbl_C,sin_of_r,sin_tbl_S_cos_of_r
-               nop.i            999
-}
-{     .mfb
-               nop.m            999
-//(SIN_Cos_Flag) fnma.s    f8   =    sin_tbl_C,sin_of_r,sin_tbl_S_cos_of_r
-(p7) fnma.s    f8   =    sin_tbl_C,sin_of_r,sin_tbl_S_cos_of_r
-               br.ret.sptk     b0
-}
+// p10 is true if we must call routines to handle larger arguments
+// p10 is true if f8 exp is >= 0x10017 (2^24)
+{ .mfb
+      cmp.ge        p10,p0              = sincosf_r_exp,sincosf_exp_limit
+      nop.f         999
+(p10) br.cond.spnt  _SINCOSF_LARGE_ARGS // Go to "large args" routine
+};;
+
+// sincosf_W          = x * sincosf_Inv_Pi_by_16
+// Multiply x by scaled 16/pi and add large const to shift integer part of W to
+//   rightmost bits of significand
+{ .mfi
+      nop.m         999 
+      fma.s1 sincosf_W_2TO61_RSH = sincosf_NORM_f8, sincosf_SIG_INV_PI_BY_16_2TO61, sincosf_RSHF_2TO61
+      nop.i         999 
+};;
 
-.endp sinf
-ASM_SIZE_DIRECTIVE(sinf)
+// sincosf_NFLOAT = Round_Int_Nearest(sincosf_W)
+// This is done by scaling back by 2^-61 and subtracting the shift constant
+{ .mfi
+      nop.m         999
+      fms.s1 sincosf_NFLOAT = sincosf_W_2TO61_RSH,sincosf_2TOM61,sincosf_RSHF
+      nop.i         999 
+};;
 
+// get N = (int)sincosf_int_Nfloat
+{ .mfi
+      getf.sig      sincosf_GR_n        = sincosf_W_2TO61_RSH // integer N value
+      nop.f         999
+      nop.i         999 
+};;
 
-.proc SIN_DOUBLE 
-SIN_DOUBLE:
-.prologue
+// Add 2^(k-1) (which is in sincosf_r_sincos=8) to N
+// sincosf_r          = -sincosf_Nfloat * sincosf_Pi_by_16_1 + x
 { .mfi
-        nop.m 0
-        nop.f 0
-.save   ar.pfs,GR_SAVE_PFS
-        mov  GR_SAVE_PFS=ar.pfs
-}
-;;
+      add           sincosf_GR_n        = sincosf_GR_n, sincosf_r_sincos
+      fnma.s1 sincosf_r = sincosf_NFLOAT, sincosf_Pi_by_16_1, sincosf_NORM_f8
+      nop.i         999 
+};;
 
+// Get M (least k+1 bits of N)
+{ .mmi
+      and           sincosf_GR_m        = 0x1f,sincosf_GR_n // Put mask 0x1F  - 
+      nop.m         999                                     // - select k+1 bits
+      nop.i         999
+};;
+
+// Add 16*M to address of sin_cos_beta table
 { .mfi
-        mov GR_SAVE_GP=gp
-        nop.f 0
-.save   b0, GR_SAVE_B0
-        mov GR_SAVE_B0=b0
-}
+      shladd        sincosf_AD_2        = sincosf_GR_32m, 4, sincosf_AD_1
+(p8)  fclass.m.unc  p10,p0              = f8,0x0b  // If sin denormal input -
+      nop.i         999 
+};;
 
-.body
-{ .mmb
-       nop.m 999
-       nop.m 999
-       br.call.sptk.many   b0=sin 
+// Load Sin and Cos table value using obtained index m  (sincosf_AD_2)
+{ .mfi
+      ldfd          sincosf_Sm          = [sincosf_AD_2],8 // Sin value S[m]
+(p9)  fclass.m.unc  p11,p0              = f8,0x0b  // If cos denormal input -
+      nop.i         999                            // - set denormal
+};;
+
+// sincosf_r          = sincosf_r -sincosf_Nfloat * sincosf_Pi_by_16_2
+{ .mfi
+      ldfd          sincosf_Cm          = [sincosf_AD_2] // Cos table value C[m]
+      fnma.s1  sincosf_r_exact = sincosf_NFLOAT, sincosf_Pi_by_16_2, sincosf_r
+      nop.i         999
 }
-;;
+// get rsq = r*r
+{ .mfi
+      nop.m         999
+      fma.s1        sincosf_rsq         = sincosf_r, sincosf_r,  f0 // r^2 = r*r
+      nop.i         999
+};;
 
 { .mfi
-       mov gp        = GR_SAVE_GP
-       nop.f 999
-       mov b0        = GR_SAVE_B0
+      nop.m         999
+      fmpy.s0       fp_tmp              = fp_tmp, fp_tmp // forces inexact flag
+      nop.i         999                                
+};;
+
+// Polynomials calculation 
+// Q = Q2*r^2 + Q1
+// P = P2*r^2 + P1
+{ .mfi
+      nop.m         999
+      fma.s1        sincosf_Q           = sincosf_rsq, sincosf_Q2, sincosf_Q1
+      nop.i         999
 }
-;;
+{ .mfi
+      nop.m         999
+      fma.s1        sincosf_P           = sincosf_rsq, sincosf_P2, sincosf_P1
+      nop.i         999 
+};;
 
+// get rcube and S[m]*r^2
 { .mfi
-      nop.m 999
-      fma.s f8 = f8,f1,f0
-(p0)  mov ar.pfs    = GR_SAVE_PFS
+      nop.m         999
+      fmpy.s1       sincosf_srsq        = sincosf_Sm,sincosf_rsq // r^2*S[m]
+      nop.i         999
 }
-{ .mib
-      nop.m 999
-      nop.i 999
-(p0)  br.ret.sptk     b0 
+{ .mfi
+      nop.m         999
+      fmpy.s1       sincosf_rcub        = sincosf_r_exact, sincosf_rsq
+      nop.i         999 
+};;
+
+// Get final P and Q
+// Q = Q*S[m]*r^2 + S[m]
+// P = P*r^3 + r
+{ .mfi
+      nop.m         999
+      fma.s1        sincosf_Q           = sincosf_srsq,sincosf_Q, sincosf_Sm
+      nop.i         999
 }
-;;
+{ .mfi
+      nop.m         999
+      fma.s1        sincosf_P           = sincosf_rcub,sincosf_P,sincosf_r_exact
+      nop.i         999 
+};;
 
-.endp  SIN_DOUBLE
-ASM_SIZE_DIRECTIVE(SIN_DOUBLE)
+// If sinf(denormal) - force underflow to be set
+.pred.rel "mutex",p10,p11
+{ .mfi
+      nop.m         999
+(p10) fmpy.s.s0     fp_tmp              = f8,f8 // forces underflow flag
+      nop.i         999                         // for denormal sine args
+}
+// If cosf(denormal) - force denormal to be set
+{ .mfi
+      nop.m         999
+(p11) fma.s.s0     fp_tmp              = f8, f1, f8 // forces denormal flag
+      nop.i         999                              // for denormal cosine args
+};;
 
 
-.proc COS_DOUBLE 
-COS_DOUBLE:
+// Final calculation
+// result = C[m]*P + Q
+{ .mfb
+      nop.m         999
+      fma.s.s0      f8                  = sincosf_Cm, sincosf_P, sincosf_Q
+      br.ret.sptk   b0 // Exit for common path
+};;
+
+////////// x = 0/Inf/NaN path //////////////////
+_SINCOSF_SPECIAL_ARGS:
+.pred.rel "mutex",p8,p9
+// sinf(+/-0) = +/-0
+// sinf(Inf)  = NaN
+// sinf(NaN)  = NaN
+{ .mfi
+      nop.m         999
+(p8)  fma.s.s0      f8                  = f8, f0, f0 // sinf(+/-0,NaN,Inf)
+      nop.i         999
+}
+// cosf(+/-0) = 1.0
+// cosf(Inf)  = NaN
+// cosf(NaN)  = NaN
+{ .mfb
+      nop.m         999
+(p9)  fma.s.s0      f8                  = f8, f0, f1 // cosf(+/-0,NaN,Inf)
+      br.ret.sptk   b0 // Exit for x = 0/Inf/NaN path
+};;
+
+GLOBAL_IEEE754_END(cosf)
+//////////// x >= 2^24 - large arguments routine call ////////////
+LOCAL_LIBM_ENTRY(__libm_callout_sincosf)
+_SINCOSF_LARGE_ARGS:
 .prologue
 { .mfi
-        nop.m 0
-        nop.f 0
-.save   ar.pfs,GR_SAVE_PFS
-        mov  GR_SAVE_PFS=ar.pfs
+      mov           sincosf_GR_all_ones = -1 // 0xffffffff
+      nop.f         999
+.save ar.pfs,GR_SAVE_PFS
+      mov           GR_SAVE_PFS         = ar.pfs
 }
 ;;
 
 { .mfi
-        mov GR_SAVE_GP=gp
-        nop.f 0
-.save   b0, GR_SAVE_B0
-        mov GR_SAVE_B0=b0
+      mov           GR_SAVE_GP          = gp
+      nop.f         999
+.save b0, GR_SAVE_B0
+      mov           GR_SAVE_B0          = b0
 }
-
 .body
-{ .mmb
-       nop.m 999
-       nop.m 999
-       br.call.sptk.many   b0=cos 
-}
-;;
 
-{ .mfi
-       mov gp        = GR_SAVE_GP
-       nop.f 999
-       mov b0        = GR_SAVE_B0
-}
-;;
+{ .mbb
+      setf.sig      sincosf_save_tmp    = sincosf_GR_all_ones  // inexact set
+      nop.b         999
+(p8)  br.call.sptk.many b0              = __libm_sin_large# // sinf(large_X)
+};;
+
+{ .mbb
+      cmp.ne        p9,p0               = sincosf_r_sincos, r0 // set p9 if cos
+      nop.b         999
+(p9)  br.call.sptk.many b0              = __libm_cos_large# // cosf(large_X)
+};;
 
 { .mfi
-      nop.m 999
-      fma.s f8 = f8,f1,f0
-(p0)  mov ar.pfs    = GR_SAVE_PFS
-}
-{ .mib
-      nop.m 999
-      nop.i 999
-(p0)  br.ret.sptk     b0 
+      mov           gp                  = GR_SAVE_GP
+      fma.s.s0      f8                  = f8, f1, f0 // Round result to single
+      mov           b0                  = GR_SAVE_B0
 }
-;;
-
-.endp  COS_DOUBLE
-ASM_SIZE_DIRECTIVE(COS_DOUBLE)
+{ .mfi // force inexact set
+      nop.m         999
+      fmpy.s0       sincosf_save_tmp    = sincosf_save_tmp, sincosf_save_tmp 
+      nop.i         999                                               
+};;
 
+{ .mib
+      nop.m         999
+      mov           ar.pfs              = GR_SAVE_PFS
+      br.ret.sptk   b0 // Exit for large arguments routine call
+};;
+LOCAL_LIBM_END(__libm_callout_sincosf)
 
+.type    __libm_sin_large#, @function
+.global  __libm_sin_large#
+.type    __libm_cos_large#, @function
+.global  __libm_cos_large#
 
-.type sin,@function
-.global sin 
-.type cos,@function
-.global cos 
diff --git a/sysdeps/ia64/fpu/s_cosl.S b/sysdeps/ia64/fpu/s_cosl.S
index 2755580c0d..374e822256 100644
--- a/sysdeps/ia64/fpu/s_cosl.S
+++ b/sysdeps/ia64/fpu/s_cosl.S
@@ -1,10 +1,10 @@
 .file "sincosl.s"
 
-// Copyright (C) 2000, 2001, Intel Corporation
+
+// Copyright (c) 2000 - 2003, Intel Corporation
 // All rights reserved.
-// 
-// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story,
-// and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
 //
 // Redistribution and use in source and binary forms, with or without
 // modification, are permitted provided that the following conditions are
@@ -20,76 +20,81 @@
 // * The name of Intel Corporation may not be used to endorse or promote
 // products derived from this software without specific prior written
 // permission.
-//
-// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
-// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
-// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS 
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
 // CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
-// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, 
-// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 
-// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY 
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
 // OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
-// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 
-// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 
-// 
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+//
 // Intel Corporation is the author of this code, and requests that all
-// problem reports or change requests be submitted to it directly at 
-// http://developer.intel.com/opensource.
+// problem reports or change requests be submitted to it directly at
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
 //
-// *********************************************************************
+//*********************************************************************
 //
-// History: 
-// 2/02/2000 (hand-optimized)
-// 4/04/00  Unwind support added
+// History:
+// 02/02/00 (hand-optimized)
+// 04/04/00 Unwind support added
+// 07/30/01 Improved speed on all paths
+// 08/20/01 Fixed bundling typo
+// 05/13/02 Changed interface to __libm_pi_by_2_reduce
+// 02/10/03 Reordered header: .section, .global, .proc, .align;
+//          used data8 for long double table values
 //
-// *********************************************************************
+//*********************************************************************
 //
 // Function:   Combined sinl(x) and cosl(x), where
 //
 //             sinl(x) = sine(x), for double-extended precision x values
 //             cosl(x) = cosine(x), for double-extended precision x values
 //
-// *********************************************************************
+//*********************************************************************
 //
 // Resources Used:
 //
-//    Floating-Point Registers: f8 (Input and Return Value) 
+//    Floating-Point Registers: f8 (Input and Return Value)
 //                              f32-f99
 //
 //    General Purpose Registers:
-//      r32-r43 
+//      r32-r43
 //      r44-r45 (Used to pass arguments to pi_by_2 reduce routine)
 //
 //    Predicate Registers:      p6-p13
 //
-// *********************************************************************
+//*********************************************************************
 //
 //  IEEE Special Conditions:
 //
 //    Denormal  fault raised on denormal inputs
 //    Overflow exceptions do not occur
-//    Underflow exceptions raised when appropriate for sin 
+//    Underflow exceptions raised when appropriate for sin
 //    (No specialized error handling for this routine)
 //    Inexact raised when appropriate by algorithm
 //
 //    sinl(SNaN) = QNaN
 //    sinl(QNaN) = QNaN
-//    sinl(inf) = QNaN 
+//    sinl(inf) = QNaN
 //    sinl(+/-0) = +/-0
-//    cosl(inf) = QNaN 
+//    cosl(inf) = QNaN
 //    cosl(SNaN) = QNaN
 //    cosl(QNaN) = QNaN
 //    cosl(0) = 1
-// 
-// *********************************************************************
+//
+//*********************************************************************
 //
 //  Mathematical Description
 //  ========================
 //
-//  The computation of FSIN and FCOS is best handled in one piece of 
-//  code. The main reason is that given any argument Arg, computation 
-//  of trigonometric functions first calculate N and an approximation 
+//  The computation of FSIN and FCOS is best handled in one piece of
+//  code. The main reason is that given any argument Arg, computation
+//  of trigonometric functions first calculate N and an approximation
 //  to alpha where
 //
 //  Arg = N pi/2 + alpha, |alpha| <= pi/4.
@@ -98,62 +103,62 @@
 //
 //  cosl( Arg ) = sinl( (N+1) pi/2 + alpha ),
 //
-//  therefore, the code for computing sine will produce cosine as long 
-//  as 1 is added to N immediately after the argument reduction 
+//  therefore, the code for computing sine will produce cosine as long
+//  as 1 is added to N immediately after the argument reduction
 //  process.
 //
 //  Let M = N if sine
-//      N+1 if cosine.  
+//      N+1 if cosine.
 //
 //  Now, given
 //
 //  Arg = M pi/2  + alpha, |alpha| <= pi/4,
 //
-//  let I = M mod 4, or I be the two lsb of M when M is represented 
+//  let I = M mod 4, or I be the two lsb of M when M is represented
 //  as 2's complement. I = [i_0 i_1]. Then
 //
-//  sinl( Arg ) = (-1)^i_0  sinl( alpha )	if i_1 = 0,
+//  sinl( Arg ) = (-1)^i_0  sinl( alpha )        if i_1 = 0,
 //             = (-1)^i_0  cosl( alpha )     if i_1 = 1.
 //
 //  For example:
-//       if M = -1, I = 11   
+//       if M = -1, I = 11
 //         sin ((-pi/2 + alpha) = (-1) cos (alpha)
-//       if M = 0, I = 00   
+//       if M = 0, I = 00
 //         sin (alpha) = sin (alpha)
-//       if M = 1, I = 01   
+//       if M = 1, I = 01
 //         sin (pi/2 + alpha) = cos (alpha)
-//       if M = 2, I = 10   
+//       if M = 2, I = 10
 //         sin (pi + alpha) = (-1) sin (alpha)
-//       if M = 3, I = 11   
+//       if M = 3, I = 11
 //         sin ((3/2)pi + alpha) = (-1) cos (alpha)
 //
-//  The value of alpha is obtained by argument reduction and 
+//  The value of alpha is obtained by argument reduction and
 //  represented by two working precision numbers r and c where
 //
 //  alpha =  r  +  c     accurately.
 //
 //  The reduction method is described in a previous write up.
-//  The argument reduction scheme identifies 4 cases. For Cases 2 
-//  and 4, because |alpha| is small, sinl(r+c) and cosl(r+c) can be 
-//  computed very easily by 2 or 3 terms of the Taylor series 
+//  The argument reduction scheme identifies 4 cases. For Cases 2
+//  and 4, because |alpha| is small, sinl(r+c) and cosl(r+c) can be
+//  computed very easily by 2 or 3 terms of the Taylor series
 //  expansion as follows:
 //
 //  Case 2:
 //  -------
 //
-//  sinl(r + c) = r + c - r^3/6	accurately
-//  cosl(r + c) = 1 - 2^(-67)	accurately
+//  sinl(r + c) = r + c - r^3/6        accurately
+//  cosl(r + c) = 1 - 2^(-67)        accurately
 //
 //  Case 4:
 //  -------
 //
-//  sinl(r + c) = r + c - r^3/6 + r^5/120	accurately
-//  cosl(r + c) = 1 - r^2/2 + r^4/24		accurately
+//  sinl(r + c) = r + c - r^3/6 + r^5/120        accurately
+//  cosl(r + c) = 1 - r^2/2 + r^4/24                accurately
 //
-//  The only cases left are Cases 1 and 3 of the argument reduction 
-//  procedure. These two cases will be merged since after the 
-//  argument is reduced in either cases, we have the reduced argument 
-//  represented as r + c and that the magnitude |r + c| is not small 
+//  The only cases left are Cases 1 and 3 of the argument reduction
+//  procedure. These two cases will be merged since after the
+//  argument is reduced in either cases, we have the reduced argument
+//  represented as r + c and that the magnitude |r + c| is not small
 //  enough to allow the usage of a very short approximation.
 //
 //  The required calculation is either
@@ -163,32 +168,32 @@
 //
 //  Specifically,
 //
-//	sinl(r + c) = sinl(r) + c sin'(r) + O(c^2)
-//		   = sinl(r) + c cos (r) + O(c^2)
-//		   = sinl(r) + c(1 - r^2/2)  accurately.
+//        sinl(r + c) = sinl(r) + c sin'(r) + O(c^2)
+//                   = sinl(r) + c cos (r) + O(c^2)
+//                   = sinl(r) + c(1 - r^2/2)  accurately.
 //  Similarly,
 //
-//	cosl(r + c) = cosl(r) - c sinl(r) + O(c^2)
-//		   = cosl(r) - c(r - r^3/6)  accurately.
+//        cosl(r + c) = cosl(r) - c sinl(r) + O(c^2)
+//                   = cosl(r) - c(r - r^3/6)  accurately.
 //
-//  We therefore concentrate on accurately calculating sinl(r) and 
+//  We therefore concentrate on accurately calculating sinl(r) and
 //  cosl(r) for a working-precision number r, |r| <= pi/4 to within
 //  0.1% or so.
 //
-//  The greatest challenge of this task is that the second terms of 
+//  The greatest challenge of this task is that the second terms of
 //  the Taylor series
-//	
-//	r - r^3/3! + r^r/5! - ...
+//
+//        r - r^3/3! + r^r/5! - ...
 //
 //  and
 //
-//	1 - r^2/2! + r^4/4! - ...
+//        1 - r^2/2! + r^4/4! - ...
 //
-//  are not very small when |r| is close to pi/4 and the rounding 
-//  errors will be a concern if simple polynomial accumulation is 
-//  used. When |r| < 2^-3, however, the second terms will be small 
-//  enough (6 bits or so of right shift) that a normal Horner 
-//  recurrence suffices. Hence there are two cases that we consider 
+//  are not very small when |r| is close to pi/4 and the rounding
+//  errors will be a concern if simple polynomial accumulation is
+//  used. When |r| < 2^-3, however, the second terms will be small
+//  enough (6 bits or so of right shift) that a normal Horner
+//  recurrence suffices. Hence there are two cases that we consider
 //  in the accurate computation of sinl(r) and cosl(r), |r| <= pi/4.
 //
 //  Case small_r: |r| < 2^(-3)
@@ -197,88 +202,88 @@
 //  Since Arg = M pi/4 + r + c accurately, and M mod 4 is [i_0 i_1],
 //  we have
 //
-//	sinl(Arg) = (-1)^i_0 * sinl(r + c)	if i_1 = 0
-//		 = (-1)^i_0 * cosl(r + c) 	if i_1 = 1
+//        sinl(Arg) = (-1)^i_0 * sinl(r + c)        if i_1 = 0
+//                 = (-1)^i_0 * cosl(r + c)         if i_1 = 1
 //
 //  can be accurately approximated by
 //
-//  sinl(Arg) = (-1)^i_0 * [sinl(r) + c]	if i_1 = 0
+//  sinl(Arg) = (-1)^i_0 * [sinl(r) + c]        if i_1 = 0
 //           = (-1)^i_0 * [cosl(r) - c*r] if i_1 = 1
 //
-//  because |r| is small and thus the second terms in the correction 
+//  because |r| is small and thus the second terms in the correction
 //  are unneccessary.
 //
-//  Finally, sinl(r) and cosl(r) are approximated by polynomials of 
+//  Finally, sinl(r) and cosl(r) are approximated by polynomials of
 //  moderate lengths.
 //
 //  sinl(r) =  r + S_1 r^3 + S_2 r^5 + ... + S_5 r^11
 //  cosl(r) =  1 + C_1 r^2 + C_2 r^4 + ... + C_5 r^10
 //
-//  We can make use of predicates to selectively calculate 
-//  sinl(r) or cosl(r) based on i_1. 
+//  We can make use of predicates to selectively calculate
+//  sinl(r) or cosl(r) based on i_1.
 //
 //  Case normal_r: 2^(-3) <= |r| <= pi/4
 //  ------------------------------------
 //
 //  This case is more likely than the previous one if one considers
 //  r to be uniformly distributed in [-pi/4 pi/4]. Again,
-// 
-//  sinl(Arg) = (-1)^i_0 * sinl(r + c)	if i_1 = 0
-//           = (-1)^i_0 * cosl(r + c) 	if i_1 = 1.
 //
-//  Because |r| is now larger, we need one extra term in the 
+//  sinl(Arg) = (-1)^i_0 * sinl(r + c)        if i_1 = 0
+//           = (-1)^i_0 * cosl(r + c)         if i_1 = 1.
+//
+//  Because |r| is now larger, we need one extra term in the
 //  correction. sinl(Arg) can be accurately approximated by
 //
 //  sinl(Arg) = (-1)^i_0 * [sinl(r) + c(1-r^2/2)]      if i_1 = 0
 //           = (-1)^i_0 * [cosl(r) - c*r*(1 - r^2/6)]    i_1 = 1.
 //
-//  Finally, sinl(r) and cosl(r) are approximated by polynomials of 
+//  Finally, sinl(r) and cosl(r) are approximated by polynomials of
 //  moderate lengths.
 //
-//	sinl(r) =  r + PP_1_hi r^3 + PP_1_lo r^3 + 
-//	              PP_2 r^5 + ... + PP_8 r^17
+//        sinl(r) =  r + PP_1_hi r^3 + PP_1_lo r^3 +
+//                      PP_2 r^5 + ... + PP_8 r^17
 //
-//	cosl(r) =  1 + QQ_1 r^2 + QQ_2 r^4 + ... + QQ_8 r^16
+//        cosl(r) =  1 + QQ_1 r^2 + QQ_2 r^4 + ... + QQ_8 r^16
 //
-//  where PP_1_hi is only about 16 bits long and QQ_1 is -1/2. 
-//  The crux in accurate computation is to calculate 
+//  where PP_1_hi is only about 16 bits long and QQ_1 is -1/2.
+//  The crux in accurate computation is to calculate
 //
 //  r + PP_1_hi r^3   or  1 + QQ_1 r^2
 //
-//  accurately as two pieces: U_hi and U_lo. The way to achieve this 
-//  is to obtain r_hi as a 10 sig. bit number that approximates r to 
+//  accurately as two pieces: U_hi and U_lo. The way to achieve this
+//  is to obtain r_hi as a 10 sig. bit number that approximates r to
 //  roughly 8 bits or so of accuracy. (One convenient way is
 //
 //  r_hi := frcpa( frcpa( r ) ).)
 //
 //  This way,
 //
-//	r + PP_1_hi r^3 =  r + PP_1_hi r_hi^3 +
-//	                        PP_1_hi (r^3 - r_hi^3)
-//		        =  [r + PP_1_hi r_hi^3]  +  
-//			   [PP_1_hi (r - r_hi) 
-//			      (r^2 + r_hi r + r_hi^2) ]
-//		        =  U_hi  +  U_lo
+//        r + PP_1_hi r^3 =  r + PP_1_hi r_hi^3 +
+//                                PP_1_hi (r^3 - r_hi^3)
+//                        =  [r + PP_1_hi r_hi^3]  +
+//                           [PP_1_hi (r - r_hi)
+//                              (r^2 + r_hi r + r_hi^2) ]
+//                        =  U_hi  +  U_lo
 //
 //  Since r_hi is only 10 bit long and PP_1_hi is only 16 bit long,
-//  PP_1_hi * r_hi^3 is only at most 46 bit long and thus computed 
-//  exactly. Furthermore, r and PP_1_hi r_hi^3 are of opposite sign 
-//  and that there is no more than 8 bit shift off between r and 
-//  PP_1_hi * r_hi^3. Hence the sum, U_hi, is representable and thus 
-//  calculated without any error. Finally, the fact that 
+//  PP_1_hi * r_hi^3 is only at most 46 bit long and thus computed
+//  exactly. Furthermore, r and PP_1_hi r_hi^3 are of opposite sign
+//  and that there is no more than 8 bit shift off between r and
+//  PP_1_hi * r_hi^3. Hence the sum, U_hi, is representable and thus
+//  calculated without any error. Finally, the fact that
 //
-//	|U_lo| <= 2^(-8) |U_hi|
+//        |U_lo| <= 2^(-8) |U_hi|
 //
-//  says that U_hi + U_lo is approximating r + PP_1_hi r^3 to roughly 
+//  says that U_hi + U_lo is approximating r + PP_1_hi r^3 to roughly
 //  8 extra bits of accuracy.
 //
 //  Similarly,
 //
-//	1 + QQ_1 r^2  =  [1 + QQ_1 r_hi^2]  +
-//	                    [QQ_1 (r - r_hi)(r + r_hi)]
-//		      =  U_hi  +  U_lo.
-//		      
-//  Summarizing, we calculate r_hi = frcpa( frcpa( r ) ). 
+//        1 + QQ_1 r^2  =  [1 + QQ_1 r_hi^2]  +
+//                            [QQ_1 (r - r_hi)(r + r_hi)]
+//                      =  U_hi  +  U_lo.
+//
+//  Summarizing, we calculate r_hi = frcpa( frcpa( r ) ).
 //
 //  If i_1 = 0, then
 //
@@ -297,35 +302,35 @@
 //  End
 //
 //  Finally,
-// 
-//	V := poly + ( U_lo + correction )
+//
+//        V := poly + ( U_lo + correction )
 //
 //                 /    U_hi  +  V         if i_0 = 0
-//	result := |
+//        result := |
 //                 \  (-U_hi) -  V         if i_0 = 1
 //
-//  It is important that in the last step, negation of U_hi is 
-//  performed prior to the subtraction which is to be performed in 
-//  the user-set rounding mode. 
+//  It is important that in the last step, negation of U_hi is
+//  performed prior to the subtraction which is to be performed in
+//  the user-set rounding mode.
 //
 //
 //  Algorithmic Description
 //  =======================
 //
-//  The argument reduction algorithm is tightly integrated into FSIN 
-//  and FCOS which share the same code. The following is complete and 
-//  self-contained. The argument reduction description given 
+//  The argument reduction algorithm is tightly integrated into FSIN
+//  and FCOS which share the same code. The following is complete and
+//  self-contained. The argument reduction description given
 //  previously is repeated below.
 //
 //
-//  Step 0. Initialization. 
+//  Step 0. Initialization.
 //
 //   If FSIN is invoked, set N_inc := 0; else if FCOS is invoked,
 //   set N_inc := 1.
 //
 //  Step 1. Check for exceptional and special cases.
 //
-//   * If Arg is +-0, +-inf, NaN, NaT, go to Step 10 for special 
+//   * If Arg is +-0, +-inf, NaN, NaT, go to Step 10 for special
 //     handling.
 //   * If |Arg| < 2^24, go to Step 2 for reduction of moderate
 //     arguments. This is the most likely case.
@@ -335,18 +340,18 @@
 //
 //  Step 2. Reduction of moderate arguments.
 //
-//  If |Arg| < pi/4 	...quick branch
-//     N_fix := N_inc	(integer)
+//  If |Arg| < pi/4         ...quick branch
+//     N_fix := N_inc        (integer)
 //     r     := Arg
 //     c     := 0.0
 //     Branch to Step 4, Case_1_complete
-//  Else 		...cf. argument reduction
-//     N     := Arg * two_by_PI	(fp)
-//     N_fix := fcvt.fx( N )	(int)
+//  Else                 ...cf. argument reduction
+//     N     := Arg * two_by_PI        (fp)
+//     N_fix := fcvt.fx( N )        (int)
 //     N     := fcvt.xf( N_fix )
 //     N_fix := N_fix + N_inc
-//     s     := Arg - N * P_1	(first piece of pi/2)
-//     w     := -N * P_2	(second piece of pi/2)
+//     s     := Arg - N * P_1        (first piece of pi/2)
+//     w     := -N * P_2        (second piece of pi/2)
 //
 //     If |s| >= 2^(-33)
 //        go to Step 3, Case_1_reduce
@@ -358,8 +363,8 @@
 //  Step 3. Case_1_reduce.
 //
 //  r := s + w
-//  c := (s - r) + w	...observe order
-//   
+//  c := (s - r) + w        ...observe order
+//
 //  Step 4. Case_1_complete
 //
 //  ...At this point, the reduced argument alpha is
@@ -375,17 +380,17 @@
 //
 //  If i_1 = 0, then
 //    poly := r*FR_rsq*(PP_1_lo + FR_rsq*(PP_2 + ... FR_rsq*PP_8))
-//    U_hi := r + PP_1_hi*r_hi*r_hi*r_hi	...any order
+//    U_hi := r + PP_1_hi*r_hi*r_hi*r_hi        ...any order
 //    U_lo := PP_1_hi*r_lo*(r*r + r*r_hi + r_hi*r_hi)
-//    correction := c + c*C_1*FR_rsq		...any order
+//    correction := c + c*C_1*FR_rsq                ...any order
 //  Else
 //    poly := FR_rsq*FR_rsq*(QQ_2 + FR_rsq*(QQ_3 + ... + FR_rsq*QQ_8))
-//    U_hi := 1 + QQ_1 * r_hi * r_hi		...any order
+//    U_hi := 1 + QQ_1 * r_hi * r_hi                ...any order
 //    U_lo := QQ_1 * r_lo * (r + r_hi)
-//    correction := -c*(r + S_1*FR_rsq*r)	...any order
+//    correction := -c*(r + S_1*FR_rsq*r)        ...any order
 //  Endif
 //
-//  V := poly + (U_lo + correction)	...observe order
+//  V := poly + (U_lo + correction)        ...observe order
 //
 //  result := (i_0 == 0?   1.0 : -1.0)
 //
@@ -397,7 +402,7 @@
 //  Return
 //
 //  Step 6. Small_r.
-// 
+//
 //  ...Use flush to zero mode without causing exception
 //    Let [i_0 i_1] be the two lsb of N_fix.
 //
@@ -412,7 +417,7 @@
 //  Else
 //     z := FR_rsq*FR_rsq; z := FR_rsq*z
 //     poly_lo := C_3 + FR_rsq*(C_4 + FR_rsq*C_5)
-//     poly_hi := FR_rsq*(C_1 + FR_rsq*C_2) 
+//     poly_hi := FR_rsq*(C_1 + FR_rsq*C_2)
 //     correction := -c*r
 //     result := 1
 //  Endif
@@ -429,15 +434,15 @@
 //
 //  Step 7. Case_2_reduce.
 //
-//  ...Refer to the write up for argument reduction for 
+//  ...Refer to the write up for argument reduction for
 //  ...rationale. The reduction algorithm below is taken from
 //  ...argument reduction description and integrated this.
 //
 //  w := N*P_3
-//  U_1 := N*P_2 + w		...FMA
-//  U_2 := (N*P_2 - U_1) + w	...2 FMA
+//  U_1 := N*P_2 + w                ...FMA
+//  U_2 := (N*P_2 - U_1) + w        ...2 FMA
 //  ...U_1 + U_2 is  N*(P_2+P_3) accurately
-//   
+//
 //  r := s - U_1
 //  c := ( (s - r) - U_1 ) - U_2
 //
@@ -446,29 +451,29 @@
 //  ...Case 1, this case requires much more work to reduce
 //  ...the argument, the subsequent calculation needed for
 //  ...any of the trigonometric function is very little because
-//  ...|alpha| < 1.01*2^(-33) and thus two terms of the 
+//  ...|alpha| < 1.01*2^(-33) and thus two terms of the
 //  ...Taylor series expansion suffices.
 //
 //  If i_1 = 0 then
-//     poly := c + S_1 * r * r * r	...any order
+//     poly := c + S_1 * r * r * r        ...any order
 //     result := r
 //  Else
 //     poly := -2^(-67)
 //     result := 1.0
 //  Endif
-//   
+//
 //  If i_0 = 1, result := -result
 //
 //  Last operation. Perform in user-set rounding mode
 //
 //  result := (i_0 == 0?     result + poly :
 //                           result - poly )
-//   
+//
 //  Return
 //
-//  
+//
 //  Step 8. Pre-reduction of large arguments.
-// 
+//
 //  ...Again, the following reduction procedure was described
 //  ...in the separate write up for argument reduction, which
 //  ...is tightly integrated here.
@@ -476,13 +481,13 @@
 //  N_0 := Arg * Inv_P_0
 //  N_0_fix := fcvt.fx( N_0 )
 //  N_0 := fcvt.xf( N_0_fix)
-   
+
 //  Arg' := Arg - N_0 * P_0
 //  w := N_0 * d_1
 //  N := Arg' * two_by_PI
 //  N_fix := fcvt.fx( N )
 //  N := fcvt.xf( N_fix )
-//  N_fix := N_fix + N_inc 
+//  N_fix := N_fix + N_inc
 //
 //  s := Arg' - N * P_1
 //  w := w - N * P_2
@@ -494,15 +499,15 @@
 //  Endif
 //
 //  Step 9. Case_4_reduce.
-// 
+//
 //    ...first obtain N_0*d_1 and -N*P_2 accurately
-//   U_hi := N_0 * d_1		V_hi := -N*P_2
-//   U_lo := N_0 * d_1 - U_hi	V_lo := -N*P_2 - U_hi	...FMAs
+//   U_hi := N_0 * d_1                V_hi := -N*P_2
+//   U_lo := N_0 * d_1 - U_hi        V_lo := -N*P_2 - U_hi        ...FMAs
 //
 //   ...compute the contribution from N_0*d_1 and -N*P_3
 //   w := -N*P_3
 //   w := w + N_0*d_2
-//   t := U_lo + V_lo + w		...any order
+//   t := U_lo + V_lo + w                ...any order
 //
 //   ...at this point, the mathematical value
 //   ...s + U_hi + V_hi  + t approximates the true reduced argument
@@ -517,12 +522,12 @@
 //   endif
 //   ...order in computing "a" must be observed. This branch is
 //   ...best implemented by predicates.
-//   ...A + a  is U_hi + V_hi accurately. Moreover, "a" is 
+//   ...A + a  is U_hi + V_hi accurately. Moreover, "a" is
 //   ...much smaller than A: |a| <= (1/2)ulp(A).
 //
 //   ...Just need to calculate   s + A + a + t
-//   C_hi := s + A		t := t + a
-//   C_lo := (s - C_hi) + A	
+//   C_hi := s + A                t := t + a
+//   C_lo := (s - C_hi) + A
 //   C_lo := C_lo + t
 //
 //   ...Final steps for reduction
@@ -548,156 +553,191 @@
 //   result := (i_0 == 0?     result + poly :
 //                            result - poly )
 //   Return
-//  
+//
 //   Large Arguments: For arguments above 2**63, a Payne-Hanek
 //   style argument reduction is used and pi_by_2 reduce is called.
 //
 
-#include "libm_support.h" 
-
-#ifdef _LIBC
-.rodata
-#else
-.data
-#endif
-.align 64 
-
-FSINCOSL_CONSTANTS:
-ASM_TYPE_DIRECTIVE(FSINCOSL_CONSTANTS,@object)
-data4 0x4B800000, 0xCB800000, 0x00000000,0x00000000 // two**24, -two**24
-data4 0x4E44152A, 0xA2F9836E, 0x00003FFE,0x00000000 // Inv_pi_by_2
-data4 0xCE81B9F1, 0xC84D32B0, 0x00004016,0x00000000 // P_0 
-data4 0x2168C235, 0xC90FDAA2, 0x00003FFF,0x00000000 // P_1 
-data4 0xFC8F8CBB, 0xECE675D1, 0x0000BFBD,0x00000000 // P_2 
-data4 0xACC19C60, 0xB7ED8FBB, 0x0000BF7C,0x00000000 // P_3 
-data4 0x5F000000, 0xDF000000, 0x00000000,0x00000000 // two_to_63, -two_to_63
-data4 0x6EC6B45A, 0xA397E504, 0x00003FE7,0x00000000 // Inv_P_0 
-data4 0xDBD171A1, 0x8D848E89, 0x0000BFBF,0x00000000 // d_1 
-data4 0x18A66F8E, 0xD5394C36, 0x0000BF7C,0x00000000 // d_2 
-data4 0x2168C234, 0xC90FDAA2, 0x00003FFE,0x00000000 // pi_by_4 
-data4 0x2168C234, 0xC90FDAA2, 0x0000BFFE,0x00000000 // neg_pi_by_4 
-data4 0x3E000000, 0xBE000000, 0x00000000,0x00000000 // two**-3, -two**-3
-data4 0x2F000000, 0xAF000000, 0x9E000000,0x00000000 // two**-33, -two**-33, -two**-67
-data4 0xA21C0BC9, 0xCC8ABEBC, 0x00003FCE,0x00000000 // PP_8 
-data4 0x720221DA, 0xD7468A05, 0x0000BFD6,0x00000000 // PP_7 
-data4 0x640AD517, 0xB092382F, 0x00003FDE,0x00000000 // PP_6 
-data4 0xD1EB75A4, 0xD7322B47, 0x0000BFE5,0x00000000 // PP_5 
-data4 0xFFFFFFFE, 0xFFFFFFFF, 0x0000BFFD,0x00000000 // C_1 
-data4 0x00000000, 0xAAAA0000, 0x0000BFFC,0x00000000 // PP_1_hi 
-data4 0xBAF69EEA, 0xB8EF1D2A, 0x00003FEC,0x00000000 // PP_4 
-data4 0x0D03BB69, 0xD00D00D0, 0x0000BFF2,0x00000000 // PP_3 
-data4 0x88888962, 0x88888888, 0x00003FF8,0x00000000 // PP_2
-data4 0xAAAB0000, 0xAAAAAAAA, 0x0000BFEC,0x00000000 // PP_1_lo 
-data4 0xC2B0FE52, 0xD56232EF, 0x00003FD2,0x00000000 // QQ_8
-data4 0x2B48DCA6, 0xC9C99ABA, 0x0000BFDA,0x00000000 // QQ_7
-data4 0x9C716658, 0x8F76C650, 0x00003FE2,0x00000000 // QQ_6
-data4 0xFDA8D0FC, 0x93F27DBA, 0x0000BFE9,0x00000000 // QQ_5
-data4 0xAAAAAAAA, 0xAAAAAAAA, 0x0000BFFC,0x00000000 // S_1 
-data4 0x00000000, 0x80000000, 0x0000BFFE,0x00000000 // QQ_1 
-data4 0x0C6E5041, 0xD00D00D0, 0x00003FEF,0x00000000 // QQ_4 
-data4 0x0B607F60, 0xB60B60B6, 0x0000BFF5,0x00000000 // QQ_3 
-data4 0xAAAAAA9B, 0xAAAAAAAA, 0x00003FFA,0x00000000 // QQ_2 
-data4 0xFFFFFFFE, 0xFFFFFFFF, 0x0000BFFD,0x00000000 // C_1 
-data4 0xAAAA719F, 0xAAAAAAAA, 0x00003FFA,0x00000000 // C_2 
-data4 0x0356F994, 0xB60B60B6, 0x0000BFF5,0x00000000 // C_3
-data4 0xB2385EA9, 0xD00CFFD5, 0x00003FEF,0x00000000 // C_4 
-data4 0x292A14CD, 0x93E4BD18, 0x0000BFE9,0x00000000 // C_5
-data4 0xAAAAAAAA, 0xAAAAAAAA, 0x0000BFFC,0x00000000 // S_1 
-data4 0x888868DB, 0x88888888, 0x00003FF8,0x00000000 // S_2 
-data4 0x055EFD4B, 0xD00D00D0, 0x0000BFF2,0x00000000 // S_3 
-data4 0x839730B9, 0xB8EF1C5D, 0x00003FEC,0x00000000 // S_4
-data4 0xE5B3F492, 0xD71EA3A4, 0x0000BFE5,0x00000000 // S_5
-data4 0x38800000, 0xB8800000, 0x00000000            // two**-14, -two**-14
-ASM_SIZE_DIRECTIVE(FSINCOSL_CONSTANTS)
-
-FR_Input_X        = f8 
-FR_Neg_Two_to_M3  = f32 
-FR_Two_to_63      = f32 
-FR_Two_to_24      = f33 
-FR_Pi_by_4        = f33 
-FR_Two_to_M14     = f34 
-FR_Two_to_M33     = f35 
-FR_Neg_Two_to_24  = f36 
-FR_Neg_Pi_by_4    = f36 
-FR_Neg_Two_to_M14 = f37 
-FR_Neg_Two_to_M33 = f38 
-FR_Neg_Two_to_M67 = f39 
-FR_Inv_pi_by_2    = f40 
-FR_N_float        = f41 
-FR_N_fix          = f42 
-FR_P_1            = f43 
-FR_P_2            = f44 
-FR_P_3            = f45 
-FR_s              = f46 
-FR_w              = f47 
-FR_c              = f48 
-FR_r              = f49 
-FR_Z              = f50 
-FR_A              = f51 
-FR_a              = f52 
-FR_t              = f53 
-FR_U_1            = f54 
-FR_U_2            = f55 
-FR_C_1            = f56 
-FR_C_2            = f57 
-FR_C_3            = f58 
-FR_C_4            = f59 
-FR_C_5            = f60 
-FR_S_1            = f61 
-FR_S_2            = f62 
-FR_S_3            = f63 
-FR_S_4            = f64 
-FR_S_5            = f65 
-FR_poly_hi        = f66 
-FR_poly_lo        = f67 
-FR_r_hi           = f68 
-FR_r_lo           = f69 
-FR_rsq            = f70 
-FR_r_cubed        = f71 
-FR_C_hi           = f72 
-FR_N_0            = f73 
-FR_d_1            = f74 
-FR_V              = f75 
-FR_V_hi           = f75 
-FR_V_lo           = f76 
-FR_U_hi           = f77 
-FR_U_lo           = f78 
-FR_U_hiabs        = f79 
-FR_V_hiabs        = f80 
-FR_PP_8           = f81 
-FR_QQ_8           = f81 
-FR_PP_7           = f82 
-FR_QQ_7           = f82 
-FR_PP_6           = f83 
-FR_QQ_6           = f83 
-FR_PP_5           = f84 
-FR_QQ_5           = f84 
-FR_PP_4           = f85 
-FR_QQ_4           = f85 
-FR_PP_3           = f86 
-FR_QQ_3           = f86 
-FR_PP_2           = f87 
-FR_QQ_2           = f87 
-FR_QQ_1           = f88 
-FR_N_0_fix        = f89 
-FR_Inv_P_0        = f90 
-FR_corr           = f91 
-FR_poly           = f92 
-FR_d_2            = f93 
-FR_Two_to_M3      = f94 
-FR_Neg_Two_to_63  = f94 
-FR_P_0            = f95 
-FR_C_lo           = f96 
-FR_PP_1           = f97 
-FR_PP_1_lo        = f98 
-FR_ArgPrime       = f99 
-
-GR_Table_Base  = r32 
-GR_Table_Base1 = r33 
-GR_i_0         = r34
-GR_i_1         = r35
-GR_N_Inc       = r36 
-GR_Sin_or_Cos  = r37 
+
+RODATA
+.align 16
+
+LOCAL_OBJECT_START(FSINCOSL_CONSTANTS)
+
+sincosl_table_p:
+data8 0xA2F9836E4E44152A, 0x00003FFE // Inv_pi_by_2
+data8 0xC84D32B0CE81B9F1, 0x00004016 // P_0
+data8 0xC90FDAA22168C235, 0x00003FFF // P_1
+data8 0xECE675D1FC8F8CBB, 0x0000BFBD // P_2
+data8 0xB7ED8FBBACC19C60, 0x0000BF7C // P_3
+data8 0x8D848E89DBD171A1, 0x0000BFBF // d_1
+data8 0xD5394C3618A66F8E, 0x0000BF7C // d_2
+LOCAL_OBJECT_END(FSINCOSL_CONSTANTS)
+
+LOCAL_OBJECT_START(sincosl_table_d)
+data8 0xC90FDAA22168C234, 0x00003FFE // pi_by_4
+data8 0xA397E5046EC6B45A, 0x00003FE7 // Inv_P_0
+data4 0x3E000000, 0xBE000000         // 2^-3 and -2^-3
+data4 0x2F000000, 0xAF000000         // 2^-33 and -2^-33
+data4 0x9E000000, 0x00000000         // -2^-67
+data4 0x00000000, 0x00000000         // pad
+LOCAL_OBJECT_END(sincosl_table_d)
+
+LOCAL_OBJECT_START(sincosl_table_pp)
+data8 0xCC8ABEBCA21C0BC9, 0x00003FCE // PP_8
+data8 0xD7468A05720221DA, 0x0000BFD6 // PP_7
+data8 0xB092382F640AD517, 0x00003FDE // PP_6
+data8 0xD7322B47D1EB75A4, 0x0000BFE5 // PP_5
+data8 0xFFFFFFFFFFFFFFFE, 0x0000BFFD // C_1
+data8 0xAAAA000000000000, 0x0000BFFC // PP_1_hi
+data8 0xB8EF1D2ABAF69EEA, 0x00003FEC // PP_4
+data8 0xD00D00D00D03BB69, 0x0000BFF2 // PP_3
+data8 0x8888888888888962, 0x00003FF8 // PP_2
+data8 0xAAAAAAAAAAAB0000, 0x0000BFEC // PP_1_lo
+LOCAL_OBJECT_END(sincosl_table_pp)
+
+LOCAL_OBJECT_START(sincosl_table_qq)
+data8 0xD56232EFC2B0FE52, 0x00003FD2 // QQ_8
+data8 0xC9C99ABA2B48DCA6, 0x0000BFDA // QQ_7
+data8 0x8F76C6509C716658, 0x00003FE2 // QQ_6
+data8 0x93F27DBAFDA8D0FC, 0x0000BFE9 // QQ_5
+data8 0xAAAAAAAAAAAAAAAA, 0x0000BFFC // S_1
+data8 0x8000000000000000, 0x0000BFFE // QQ_1
+data8 0xD00D00D00C6E5041, 0x00003FEF // QQ_4
+data8 0xB60B60B60B607F60, 0x0000BFF5 // QQ_3
+data8 0xAAAAAAAAAAAAAA9B, 0x00003FFA // QQ_2
+LOCAL_OBJECT_END(sincosl_table_qq)
+
+LOCAL_OBJECT_START(sincosl_table_c)
+data8 0xFFFFFFFFFFFFFFFE, 0x0000BFFD // C_1
+data8 0xAAAAAAAAAAAA719F, 0x00003FFA // C_2
+data8 0xB60B60B60356F994, 0x0000BFF5 // C_3
+data8 0xD00CFFD5B2385EA9, 0x00003FEF // C_4
+data8 0x93E4BD18292A14CD, 0x0000BFE9 // C_5
+LOCAL_OBJECT_END(sincosl_table_c)
+
+LOCAL_OBJECT_START(sincosl_table_s)
+data8 0xAAAAAAAAAAAAAAAA, 0x0000BFFC // S_1
+data8 0x88888888888868DB, 0x00003FF8 // S_2
+data8 0xD00D00D0055EFD4B, 0x0000BFF2 // S_3
+data8 0xB8EF1C5D839730B9, 0x00003FEC // S_4
+data8 0xD71EA3A4E5B3F492, 0x0000BFE5 // S_5
+data4 0x38800000, 0xB8800000                        // two**-14 and -two**-14
+LOCAL_OBJECT_END(sincosl_table_s)
+
+FR_Input_X        = f8
+FR_Result         = f8
+
+FR_r              = f8
+FR_c              = f9
+
+FR_norm_x         = f9
+FR_inv_pi_2to63   = f10
+FR_rshf_2to64     = f11
+FR_2tom64         = f12
+FR_rshf           = f13
+FR_N_float_signif = f14
+FR_abs_x          = f15
+FR_Pi_by_4        = f34
+FR_Two_to_M14     = f35
+FR_Neg_Two_to_M14 = f36
+FR_Two_to_M33     = f37
+FR_Neg_Two_to_M33 = f38
+FR_Neg_Two_to_M67 = f39
+FR_Inv_pi_by_2    = f40
+FR_N_float        = f41
+FR_N_fix          = f42
+FR_P_1            = f43
+FR_P_2            = f44
+FR_P_3            = f45
+FR_s              = f46
+FR_w              = f47
+FR_d_2            = f48
+FR_tmp_result     = f49
+FR_Z              = f50
+FR_A              = f51
+FR_a              = f52
+FR_t              = f53
+FR_U_1            = f54
+FR_U_2            = f55
+FR_C_1            = f56
+FR_C_2            = f57
+FR_C_3            = f58
+FR_C_4            = f59
+FR_C_5            = f60
+FR_S_1            = f61
+FR_S_2            = f62
+FR_S_3            = f63
+FR_S_4            = f64
+FR_S_5            = f65
+FR_poly_hi        = f66
+FR_poly_lo        = f67
+FR_r_hi           = f68
+FR_r_lo           = f69
+FR_rsq            = f70
+FR_r_cubed        = f71
+FR_C_hi           = f72
+FR_N_0            = f73
+FR_d_1            = f74
+FR_V              = f75
+FR_V_hi           = f75
+FR_V_lo           = f76
+FR_U_hi           = f77
+FR_U_lo           = f78
+FR_U_hiabs        = f79
+FR_V_hiabs        = f80
+FR_PP_8           = f81
+FR_QQ_8           = f101
+FR_PP_7           = f82
+FR_QQ_7           = f102
+FR_PP_6           = f83
+FR_QQ_6           = f103
+FR_PP_5           = f84
+FR_QQ_5           = f104
+FR_PP_4           = f85
+FR_QQ_4           = f105
+FR_PP_3           = f86
+FR_QQ_3           = f106
+FR_PP_2           = f87
+FR_QQ_2           = f107
+FR_QQ_1           = f108
+FR_r_hi_sq        = f88
+FR_N_0_fix        = f89
+FR_Inv_P_0        = f90
+FR_corr           = f91
+FR_poly           = f92
+FR_Neg_Two_to_M3  = f93
+FR_Two_to_M3      = f94
+FR_P_0            = f95
+FR_C_lo           = f96
+FR_PP_1           = f97
+FR_PP_1_lo        = f98
+FR_ArgPrime       = f99
+FR_inexact        = f100
+
+GR_sig_inv_pi  = r14
+GR_rshf_2to64  = r15
+GR_exp_2tom64  = r16
+GR_rshf        = r17
+GR_ad_p        = r18
+GR_ad_d        = r19
+GR_ad_pp       = r20
+GR_ad_qq       = r21
+GR_ad_c        = r22
+GR_ad_s        = r23
+GR_ad_ce       = r24
+GR_ad_se       = r25
+GR_ad_m14      = r26
+GR_ad_s1       = r27
+GR_exp_m2_to_m3= r36
+GR_N_Inc       = r37
+GR_Sin_or_Cos  = r38
+GR_signexp_x   = r40
+GR_exp_x       = r40
+GR_exp_mask    = r41
+GR_exp_2_to_63 = r42
+GR_exp_2_to_m3 = r43
+GR_exp_2_to_24 = r44
 
 // Added for unwind support
 
@@ -706,386 +746,376 @@ GR_SAVE_GP     = r40
 GR_SAVE_PFS    = r41
 
 
-.global sinl#
-.global cosl#
-#ifdef _LIBC
-.global __sinl#
-.global __cosl#
-#endif
-
 .section .text
-.proc sinl#
-#ifdef _LIBC
-.proc __sinl#
-#endif
-.align 64 
-sinl:
-#ifdef _LIBC
-__sinl:
-#endif
+
+GLOBAL_IEEE754_ENTRY(sinl)
 { .mlx
-alloc GR_Table_Base = ar.pfs,0,12,2,0
-(p0)   movl GR_Sin_or_Cos = 0x0 ;;
+      alloc r32 = ar.pfs,0,12,2,0
+      movl GR_sig_inv_pi = 0xa2f9836e4e44152a // significand of 1/pi
 }
-
-{ .mmi
-      nop.m 999
-(p0)  addl           GR_Table_Base   = @ltoff(FSINCOSL_CONSTANTS#), gp
-      nop.i 999
+{ .mlx
+      mov GR_Sin_or_Cos = 0x0
+      movl GR_rshf_2to64 = 0x47e8000000000000 // 1.1000 2^(63+64)
 }
 ;;
 
-{ .mmb
-      ld8 GR_Table_Base = [GR_Table_Base]
+{ .mfi
+      addl           GR_ad_p   = @ltoff(FSINCOSL_CONSTANTS#), gp
+      fclass.m p6, p0 =  FR_Input_X, 0x1E3 // Test x natval, nan, inf
+      mov GR_exp_2_to_m3 = 0xffff - 3      // Exponent of 2^-3
+}
+{ .mfb
       nop.m 999
-(p0)   br.cond.sptk L(SINCOSL_CONTINUE) ;;
+      fnorm.s1 FR_norm_x = FR_Input_X      // Normalize x
+      br.cond.sptk SINCOSL_CONTINUE
 }
 ;;
 
-
-.endp sinl#
-ASM_SIZE_DIRECTIVE(sinl#)
-
-.section .text
-.proc cosl#
-cosl:
-#ifdef _LIBC
-.proc __cosl#
-__cosl:
-#endif
+GLOBAL_IEEE754_END(sinl)
+GLOBAL_IEEE754_ENTRY(cosl)
+{ .mlx
+      alloc r32 = ar.pfs,0,12,2,0
+      movl GR_sig_inv_pi = 0xa2f9836e4e44152a // significand of 1/pi
+}
 { .mlx
-alloc GR_Table_Base= ar.pfs,0,12,2,0
-(p0)   movl GR_Sin_or_Cos = 0x1 ;;
+      mov GR_Sin_or_Cos = 0x1
+      movl GR_rshf_2to64 = 0x47e8000000000000 // 1.1000 2^(63+64)
 }
 ;;
 
-{ .mmi
+{ .mfi
+      addl           GR_ad_p   = @ltoff(FSINCOSL_CONSTANTS#), gp
+      fclass.m p6, p0 =  FR_Input_X, 0x1E3 // Test x natval, nan, inf
+      mov GR_exp_2_to_m3 = 0xffff - 3      // Exponent of 2^-3
+}
+{ .mfi
       nop.m 999
-(p0)  addl           GR_Table_Base   = @ltoff(FSINCOSL_CONSTANTS#), gp
+      fnorm.s1 FR_norm_x = FR_Input_X      // Normalize x
       nop.i 999
 }
 ;;
 
-{ .mmb
-      ld8 GR_Table_Base = [GR_Table_Base]
-      nop.m 999
-      nop.b 999
+SINCOSL_CONTINUE:
+{ .mfi
+      setf.sig FR_inv_pi_2to63 = GR_sig_inv_pi // Form 1/pi * 2^63
+      nop.f 999
+      mov GR_exp_2tom64 = 0xffff - 64      // Scaling constant to compute N
+}
+{ .mlx
+      setf.d FR_rshf_2to64 = GR_rshf_2to64    // Form const 1.1000 * 2^(63+64)
+      movl GR_rshf = 0x43e8000000000000       // Form const 1.1000 * 2^63
 }
 ;;
 
+{ .mfi
+      ld8 GR_ad_p = [GR_ad_p]              // Point to Inv_pi_by_2
+      fclass.m p7, p0 = FR_Input_X, 0x0b   // Test x denormal
+      nop.i 999
+}
+;;
 
-
-//
-//     Load Table Address
-//
-
-L(SINCOSL_CONTINUE): 
-{ .mmi
-(p0)   add GR_Table_Base1 = 96, GR_Table_Base
-(p0)   ldfs	FR_Two_to_24 = [GR_Table_Base], 4
-// GR_Sin_or_Cos denotes 
-(p0)   mov   r39 = b0 ;;
+{ .mfi
+      getf.exp GR_signexp_x = FR_Input_X   // Get sign and exponent of x
+      fclass.m p10, p0 = FR_Input_X, 0x007 // Test x zero
+      nop.i 999
 }
-{ .mmi
-       nop.m 0
-//
-//     Load 2**24, load 2**63.
-//
-(p0)   ldfs	FR_Neg_Two_to_24 = [GR_Table_Base], 12
-       nop.i 0
+{ .mib
+      mov GR_exp_mask = 0x1ffff            // Exponent mask
+      nop.i 999
+(p6)  br.cond.spnt SINCOSL_SPECIAL         // Branch if x natval, nan, inf
 }
+;;
+
 { .mfi
-(p0)   ldfs	FR_Two_to_63 = [GR_Table_Base1], 4
-//
-//     Check for unnormals - unsupported operands. We do not want
-//     to generate denormal exception
-//     Check for NatVals, QNaNs, SNaNs, +/-Infs
-//     Check for EM unsupporteds
-//     Check for Zero 
-//
-(p0)   fclass.m.unc  p6, p0 =  FR_Input_X, 0x1E3
-       nop.i 0
-};;
-{ .mmf
-        nop.m 999
-(p0)   ldfs	FR_Neg_Two_to_63 = [GR_Table_Base1], 12
-(p0)   fclass.nm.unc p8, p0 =  FR_Input_X, 0x1FF
-}
-{ .mfb
-	nop.m 999
-(p0)   fclass.m.unc p10, p0 = FR_Input_X, 0x007
-(p6)   br.cond.spnt L(SINCOSL_SPECIAL) ;;
+      setf.exp FR_2tom64 = GR_exp_2tom64   // Form 2^-64 for scaling N_float
+      nop.f 0
+      add GR_ad_d = 0x70, GR_ad_p          // Point to constant table d
 }
 { .mib
-	nop.m 999
-	nop.i 999
-(p8)   br.cond.spnt L(SINCOSL_SPECIAL) ;;
+      setf.d FR_rshf = GR_rshf         // Form right shift const 1.1000 * 2^63
+      mov  GR_exp_m2_to_m3 = 0x2fffc       // Form -(2^-3)
+(p7)  br.cond.spnt SINCOSL_DENORMAL        // Branch if x denormal
 }
-{ .mib
-	nop.m 999
-	nop.i 999
-//
-//     Branch if +/- NaN, Inf.
-//     Load -2**24, load -2**63.
-//
-(p10)  br.cond.spnt L(SINCOSL_ZERO) ;;
+;;
+
+SINCOSL_COMMON:
+{ .mfi
+      and GR_exp_x = GR_exp_mask, GR_signexp_x // Get exponent of x
+      fclass.nm p8, p0 = FR_Input_X, 0x1FF // Test x unsupported type
+      mov GR_exp_2_to_63 = 0xffff + 63     // Exponent of 2^63
 }
-{ .mmb
-(p0)   ldfe	FR_Inv_pi_by_2 = [GR_Table_Base], 16
-(p0)   ldfe	FR_Inv_P_0 = [GR_Table_Base1], 16
-	nop.b 999 ;;
+{ .mib
+      add GR_ad_pp = 0x40, GR_ad_d         // Point to constant table pp
+      mov GR_exp_2_to_24 = 0xffff + 24     // Exponent of 2^24
+(p10) br.cond.spnt SINCOSL_ZERO            // Branch if x zero
 }
-{ .mmb
-(p0)   ldfe		FR_d_1 = [GR_Table_Base1], 16
-//
-//     Raise possible denormal operand flag with useful fcmp
-//     Is x <= -2**63
-//     Load Inv_P_0 for pre-reduction
-//     Load Inv_pi_by_2
-//
-(p0)   ldfe		FR_P_0 = [GR_Table_Base], 16
-	nop.b 999 ;;
+;;
+
+{ .mfi
+      ldfe FR_Inv_pi_by_2 = [GR_ad_p], 16  // Load 2/pi
+      fcmp.eq.s0 p15, p0 = FR_Input_X, f0  // Dummy to set denormal
+      add GR_ad_qq = 0xa0, GR_ad_pp        // Point to constant table qq
 }
-{ .mmb
-(p0)   ldfe	FR_d_2 = [GR_Table_Base1], 16
-//
-//     Load P_0
-//     Load d_1
-//     Is x >= 2**63
-//     Is x <= -2**24?
-//
-(p0)   ldfe	FR_P_1 = [GR_Table_Base], 16
-	nop.b 999 ;;
+{ .mfi
+      ldfe FR_Pi_by_4 = [GR_ad_d], 16      // Load pi/4 for range test
+      nop.f 999
+      cmp.ge p10,p0 = GR_exp_x, GR_exp_2_to_63   // Is |x| >= 2^63
 }
-//
-//     Load P_1
-//     Load d_2
-//     Is x >= 2**24?
-//
+;;
+
 { .mfi
-(p0)   ldfe	FR_P_2 = [GR_Table_Base], 16
-(p0)   fcmp.le.unc.s1	p7, p8 = FR_Input_X, FR_Neg_Two_to_24
-	nop.i 999 ;;
+      ldfe FR_P_0 = [GR_ad_p], 16          // Load P_0 for pi/4 <= |x| < 2^63
+      fmerge.s FR_abs_x = f1, FR_norm_x    // |x|
+      add GR_ad_c = 0x90, GR_ad_qq         // Point to constant table c
 }
-{ .mbb
-(p0)   ldfe	FR_P_3 = [GR_Table_Base], 16
-	nop.b 999
-	nop.b 999 ;;
+{ .mfi
+      ldfe FR_Inv_P_0 = [GR_ad_d], 16      // Load 1/P_0 for pi/4 <= |x| < 2^63
+      nop.f 999
+      cmp.ge p7,p0 = GR_exp_x, GR_exp_2_to_24   // Is |x| >= 2^24
 }
+;;
+
 { .mfi
-	nop.m 999
-(p8)   fcmp.ge.s1 p7, p0 = FR_Input_X, FR_Two_to_24
-	nop.i 999
+      ldfe FR_P_1 = [GR_ad_p], 16          // Load P_1 for pi/4 <= |x| < 2^63
+      nop.f 999
+      add GR_ad_s = 0x50, GR_ad_c          // Point to constant table s
 }
 { .mfi
-(p0)   ldfe	FR_Pi_by_4 = [GR_Table_Base1], 16
-//
-//     Branch if +/- zero.
-//     Decide about the paths to take:
-//     If -2**24 < FR_Input_X < 2**24 - CASE 1 OR 2 
-//     OTHERWISE - CASE 3 OR 4 
-//
-(p0)   fcmp.le.unc.s0	p10, p11 = FR_Input_X, FR_Neg_Two_to_63
-	nop.i 999 ;;
+      ldfe FR_PP_8 = [GR_ad_pp], 16        // Load PP_8 for 2^-3 < |r| < pi/4
+      nop.f 999
+      nop.i 999
 }
-{ .mmi
-(p0)   ldfe	FR_Neg_Pi_by_4 = [GR_Table_Base1], 16 ;;
-(p0)   ldfs	FR_Two_to_M3 = [GR_Table_Base1], 4
-	nop.i 999
+;;
+
+{ .mfi
+      ldfe FR_P_2 = [GR_ad_p], 16          // Load P_2 for pi/4 <= |x| < 2^63
+      nop.f 999
+      add GR_ad_ce = 0x40, GR_ad_c         // Point to end of constant table c
 }
 { .mfi
-	nop.m 999
-(p11)  fcmp.ge.s1	p10, p0 = FR_Input_X, FR_Two_to_63
-	nop.i 999 ;;
+      ldfe FR_QQ_8 = [GR_ad_qq], 16        // Load QQ_8 for 2^-3 < |r| < pi/4
+      nop.f 999
+      nop.i 999
 }
-{ .mib
-(p0)   ldfs	FR_Neg_Two_to_M3 = [GR_Table_Base1], 12
-	nop.i 999
-//
-//     Load P_2
-//     Load P_3
-//     Load pi_by_4
-//     Load neg_pi_by_4
-//     Load 2**(-3)
-//     Load -2**(-3).
-//
-(p10)  br.cond.spnt L(SINCOSL_ARG_TOO_LARGE) ;;
+;;
+
+{ .mfi
+      ldfe FR_QQ_7 = [GR_ad_qq], 16        // Load QQ_7 for 2^-3 < |r| < pi/4
+      fma.s1        FR_N_float_signif = FR_Input_X, FR_inv_pi_2to63, FR_rshf_2to64
+      add GR_ad_se = 0x40, GR_ad_s         // Point to end of constant table s
 }
 { .mib
-	nop.m 999
-	nop.i 999
-//
-//     Branch out if x >= 2**63. Use Payne-Hanek Reduction
-//
-(p7)   br.cond.spnt L(SINCOSL_LARGER_ARG) ;;
+      ldfe FR_PP_7 = [GR_ad_pp], 16        // Load PP_7 for 2^-3 < |r| < pi/4
+      mov GR_ad_s1 = GR_ad_s               // Save pointer to S_1
+(p10) br.cond.spnt SINCOSL_ARG_TOO_LARGE   // Branch if |x| >= 2^63
+                                           // Use Payne-Hanek Reduction
 }
+;;
+
 { .mfi
-	nop.m 999
-// 
-//     Branch if Arg <= -2**24 or Arg >= 2**24 and use pre-reduction.
-//
-(p0)   fma.s1	FR_N_float = FR_Input_X, FR_Inv_pi_by_2, f0
-	nop.i 999 ;;
+      ldfe FR_P_3 = [GR_ad_p], 16          // Load P_3 for pi/4 <= |x| < 2^63
+      fmerge.se FR_r = FR_norm_x, FR_norm_x // r = x, in case |x| < pi/4
+      add GR_ad_m14 = 0x50, GR_ad_s        // Point to constant table m14
 }
-{ .mfi
-	nop.m 999
-(p0)   fcmp.lt.unc.s1	p6, p7 = FR_Input_X, FR_Pi_by_4
-	nop.i 999 ;;
+{ .mfb
+      ldfps FR_Two_to_M3, FR_Neg_Two_to_M3 = [GR_ad_d], 8
+      fma.s1 FR_rsq = FR_norm_x, FR_norm_x, f0 // rsq = x*x, in case |x| < pi/4
+(p7)  br.cond.spnt SINCOSL_LARGER_ARG      // Branch if 2^24 <= |x| < 2^63
+                                           // Use pre-reduction
+}
+;;
+
+{ .mmf
+      ldfe FR_PP_6 = [GR_ad_pp], 16       // Load PP_6 for normal path
+      ldfe FR_QQ_6 = [GR_ad_qq], 16       // Load QQ_6 for normal path
+      fmerge.se FR_c = f0, f0             // c = 0 in case |x| < pi/4
 }
+;;
+
+{ .mmf
+      ldfe FR_PP_5 = [GR_ad_pp], 16       // Load PP_5 for normal path
+      ldfe FR_QQ_5 = [GR_ad_qq], 16       // Load QQ_5 for normal path
+      nop.f 999
+}
+;;
+
+// Here if 0 < |x| < 2^24
 { .mfi
-	nop.m 999
-// 
-//     Select the case when |Arg| < pi/4 
-//     Else Select the case when |Arg| >= pi/4 
-//
-(p0)   fcvt.fx.s1 FR_N_fix = FR_N_float
-	nop.i 999 ;;
+      ldfe FR_S_5 = [GR_ad_se], -16       // Load S_5 if i_1=0
+      fcmp.lt.s1  p6, p7 = FR_abs_x, FR_Pi_by_4  // Test |x| < pi/4
+      nop.i 999
 }
 { .mfi
-	nop.m 999
+      ldfe FR_C_5 = [GR_ad_ce], -16       // Load C_5 if i_1=1
+      fms.s1 FR_N_float = FR_N_float_signif, FR_2tom64, FR_rshf
+      nop.i 999
+}
+;;
+
+{ .mmi
+      ldfe FR_S_4 = [GR_ad_se], -16       // Load S_4 if i_1=0
+      ldfe FR_C_4 = [GR_ad_ce], -16       // Load C_4 if i_1=1
+      nop.i 999
+}
+;;
+
 //
 //     N  = Arg * 2/pi
 //     Check if Arg < pi/4
 //
-(p6)   fcmp.gt.s1 p6, p7 = FR_Input_X, FR_Neg_Pi_by_4
-	nop.i 999 ;;
-}
 //
 //     Case 2: Convert integer N_fix back to normalized floating-point value.
 //     Case 1: p8 is only affected  when p6 is set
 //
-{ .mfi
-(p7)   ldfs FR_Two_to_M33 = [GR_Table_Base1], 4
 //
 //     Grab the integer part of N and call it N_fix
 //
-(p6)   fmerge.se FR_r = FR_Input_X, FR_Input_X
-//     If |x| < pi/4, r = x and c = 0 
+{ .mfi
+(p7)  ldfps FR_Two_to_M33, FR_Neg_Two_to_M33 = [GR_ad_d], 8
+(p6)  fma.s1 FR_r_cubed = FR_r, FR_rsq, f0        // r^3 if |x| < pi/4
+(p6)  mov GR_N_Inc = GR_Sin_or_Cos                // N_Inc if |x| < pi/4
+}
+;;
+
+//     If |x| < pi/4, r = x and c = 0
 //     lf |x| < pi/4, is x < 2**(-3).
-//     r = Arg 
+//     r = Arg
 //     c = 0
-(p6)   mov GR_N_Inc = GR_Sin_or_Cos ;;
-}
-{ .mmf
-	nop.m 999
-(p7)   ldfs FR_Neg_Two_to_M33 = [GR_Table_Base1], 4
-(p6)   fmerge.se FR_c = f0, f0
-}
-{ .mfi
-	nop.m 999
-(p6)   fcmp.lt.unc.s1	p8, p9 = FR_Input_X, FR_Two_to_M3
-	nop.i 999 ;;
+{ .mmi
+(p7)  getf.sig        GR_N_Inc = FR_N_float_signif
+(p6)  cmp.lt.unc p8,p0 = GR_exp_x, GR_exp_2_to_m3   // Is |x| < 2^-3
+(p6)  tbit.z p9,p10 = GR_N_Inc, 0         // p9  if i_1=0, N mod 4 = 0,1
+                                          // p10 if i_1=1, N mod 4 = 2,3
 }
-{ .mfi
-	nop.m 999
+;;
+
 //
 //     lf |x| < pi/4, is -2**(-3)< x < 2**(-3) - set p8.
-//     If |x| >= pi/4, 
-//     Create the right N for |x| < pi/4 and otherwise 
+//     If |x| >= pi/4,
+//     Create the right N for |x| < pi/4 and otherwise
 //     Case 2: Place integer part of N in GP register
 //
-(p7)   fcvt.xf FR_N_float = FR_N_fix
-	nop.i 999 ;;
-}
-{ .mmf
-	nop.m 999
-(p7)   getf.sig	GR_N_Inc = FR_N_fix
-(p8)   fcmp.gt.s1 p8, p0 = FR_Input_X, FR_Neg_Two_to_M3 ;;
-}
-{ .mib
-	nop.m 999
-	nop.i 999
-//
-//     Load 2**(-33), -2**(-33)
-//
-(p8)   br.cond.spnt L(SINCOSL_SMALL_R) ;;
+
+
+{ .mbb
+      nop.m 999
+(p8)  br.cond.spnt SINCOSL_SMALL_R_0    // Branch if 0 < |x| < 2^-3
+(p6)  br.cond.spnt SINCOSL_NORMAL_R_0   // Branch if 2^-3 <= |x| < pi/4
 }
-{ .mib
-	nop.m 999
-	nop.i 999
-(p6)   br.cond.sptk L(SINCOSL_NORMAL_R) ;;
+;;
+
+// Here if pi/4 <= |x| < 2^24
+{ .mfi
+      ldfs FR_Neg_Two_to_M67 = [GR_ad_d], 8     // Load -2^-67
+      fnma.s1 FR_s = FR_N_float, FR_P_1, FR_Input_X // s = -N * P_1  + Arg
+      add GR_N_Inc = GR_N_Inc, GR_Sin_or_Cos    // Adjust N_Inc for sin/cos
 }
-//
-//     if |x| < pi/4, branch based on |x| < 2**(-3) or otherwise.
-//
-//
-//     In this branch, |x| >= pi/4.
-// 
 { .mfi
-(p0)   ldfs FR_Neg_Two_to_M67 = [GR_Table_Base1], 8
-//
-//     Load -2**(-67)
-// 
-(p0)   fnma.s1	FR_s = FR_N_float, FR_P_1, FR_Input_X
-//
-//     w = N * P_2
-//     s = -N * P_1  + Arg
-//
-(p0)   add GR_N_Inc = GR_N_Inc, GR_Sin_or_Cos
+      nop.m 999
+      fma.s1 FR_w = FR_N_float, FR_P_2, f0      // w = N * P_2
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p0)   fma.s1	FR_w = FR_N_float, FR_P_2, f0
-	nop.i 999 ;;
+      nop.m 999
+      fms.s1 FR_r = FR_s, f1, FR_w        // r = s - w, assume |s| >= 2^-33
+      tbit.z p9,p10 = GR_N_Inc, 0         // p9  if i_1=0, N mod 4 = 0,1
+                                          // p10 if i_1=1, N mod 4 = 2,3
 }
+;;
+
 { .mfi
-	nop.m 999
-// 
-//     Adjust N_fix by N_inc to determine whether sine or
-//     cosine is being calculated
-//
-(p0)   fcmp.lt.unc.s1 p7, p6 = FR_s, FR_Two_to_M33
-	nop.i 999 ;;
+      nop.m 999
+      fcmp.lt.s1 p7, p6 = FR_s, FR_Two_to_M33
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p7)   fcmp.gt.s1 p7, p6 = FR_s, FR_Neg_Two_to_M33
-	nop.i 999 ;;
+      nop.m 999
+(p7)  fcmp.gt.s1 p7, p6 = FR_s, FR_Neg_Two_to_M33 // p6 if |s| >= 2^-33, else p7
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-//     Remember x >= pi/4.
-//     Is s <= -2**(-33) or s >= 2**(-33) (p6)
-//     or -2**(-33) < s < 2**(-33) (p7)
-(p6)   fms.s1 FR_r = FR_s, f1, FR_w
-	nop.i 999
+      nop.m 999
+      fms.s1 FR_c = FR_s, f1, FR_r             // c = s - r, for |s| >= 2^-33
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-(p7)   fma.s1 FR_w = FR_N_float, FR_P_3, f0
-	nop.i 999 ;;
+      nop.m 999
+      fma.s1 FR_rsq = FR_r, FR_r, f0           // rsq = r * r, for |s| >= 2^-33
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p7)   fma.s1 FR_U_1 = FR_N_float, FR_P_2, FR_w
-	nop.i 999
+      nop.m 999
+(p7)  fma.s1 FR_w = FR_N_float, FR_P_3, f0
+      nop.i 999
 }
+;;
+
+{ .mmf
+(p9)  ldfe FR_C_1 = [GR_ad_pp], 16     // Load C_1 if i_1=0
+(p10) ldfe FR_S_1 = [GR_ad_qq], 16     // Load S_1 if i_1=1
+      frcpa.s1 FR_r_hi, p15 = f1, FR_r  // r_hi = frcpa(r)
+}
+;;
+
 { .mfi
-	nop.m 999
-(p6)   fms.s1 FR_c = FR_s, f1, FR_r
-	nop.i 999 ;;
+      nop.m 999
+(p6)  fcmp.lt.unc.s1 p8, p13 = FR_r, FR_Two_to_M3 // If big s, test r with 2^-3
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-// 
-//     For big s: r = s - w: No futher reduction is necessary 
+      nop.m 999
+(p7)  fma.s1 FR_U_1 = FR_N_float, FR_P_2, FR_w
+      nop.i 999
+}
+;;
+
+//
+//     For big s: r = s - w: No futher reduction is necessary
 //     For small s: w = N * P_3 (change sign) More reduction
 //
-(p6)   fcmp.lt.unc.s1 p8, p9 = FR_r, FR_Two_to_M3
-	nop.i 999 ;;
+{ .mfi
+        nop.m 999
+(p8)   fcmp.gt.s1 p8, p13 = FR_r, FR_Neg_Two_to_M3 // If big s, p8 if |r| < 2^-3
+        nop.i 999 ;;
 }
+
 { .mfi
-	nop.m 999
-(p8)   fcmp.gt.s1 p8, p9 = FR_r, FR_Neg_Two_to_M3
-	nop.i 999 ;;
+      nop.m 999
+(p9)  fma.s1 FR_poly = FR_rsq, FR_PP_8, FR_PP_7 // poly = rsq*PP_8+PP_7 if i_1=0
+      nop.i 999
 }
 { .mfi
-	nop.m 999
+      nop.m 999
+(p10) fma.s1 FR_poly = FR_rsq, FR_QQ_8, FR_QQ_7 // poly = rsq*QQ_8+QQ_7 if i_1=1
+      nop.i 999
+}
+;;
+
+{ .mfi
+        nop.m 999
 (p7)   fms.s1 FR_r = FR_s, f1, FR_U_1
-	nop.i 999
+        nop.i 999
 }
-{ .mfb
-	nop.m 999
+;;
+
+{ .mfi
+      nop.m 999
+(p6)  fma.s1 FR_r_cubed = FR_r, FR_rsq, f0  // rcubed = r * rsq
+      nop.i 999
+}
+;;
+
+{ .mfi
 //
 //     For big s: Is |r| < 2**(-3)?
 //     For big s: c = S - r
@@ -1095,355 +1125,356 @@ L(SINCOSL_CONTINUE):
 //     If p9 is set, prepare to branch to Normal_R.
 //     For big s,  r is complete here.
 //
-(p6)   fms.s1 FR_c = FR_c, f1, FR_w
-// 
+//
 //     For big s: c = c + w (w has not been negated.)
 //     For small s: r = S - U_1
 //
-(p8)   br.cond.spnt	L(SINCOSL_SMALL_R) ;;
+      nop.m 999
+(p6)  fms.s1 FR_c = FR_c, f1, FR_w
+      nop.i 999
 }
-{ .mib
-	nop.m 999
-	nop.i 999
-(p9)   br.cond.sptk	L(SINCOSL_NORMAL_R) ;;
+{ .mbb
+      nop.m 999
+(p8)  br.cond.spnt    SINCOSL_SMALL_R_1  // Branch if |s|>=2^-33, |r| < 2^-3,
+                                         // and pi/4 <= |x| < 2^24
+(p13) br.cond.sptk    SINCOSL_NORMAL_R_1 // Branch if |s|>=2^-33, |r| >= 2^-3,
+                                         // and pi/4 <= |x| < 2^24
 }
-{ .mfi
-(p7)   add GR_Table_Base1 = 224, GR_Table_Base1
+;;
+
+SINCOSL_S_TINY:
+//
+// Here if |s| < 2^-33, and pi/4 <= |x| < 2^24
 //
-//     Branch to SINCOSL_SMALL_R or SINCOSL_NORMAL_R
+{ .mfi
+       fms.s1 FR_U_2 = FR_N_float, FR_P_2, FR_U_1
 //
-(p7)   fms.s1 FR_U_2 = FR_N_float, FR_P_2, FR_U_1
-// 
 //     c = S - U_1
 //     r = S_1 * r
 //
 //
-(p7)   extr.u	GR_i_1 = GR_N_Inc, 0, 1 ;;
 }
+;;
+
 { .mmi
-	nop.m 999
+        nop.m 999
 //
 //     Get [i_0,i_1] - two lsb of N_fix_gr.
 //     Do dummy fmpy so inexact is always set.
 //
-(p7)   cmp.eq.unc p9, p10 = 0x0, GR_i_1
-(p7)   extr.u	GR_i_0 = GR_N_Inc, 1, 1 ;;
+      tbit.z p9,p10 = GR_N_Inc, 0      // p9  if i_1=0, N mod 4 = 0,1
+                                       // p10 if i_1=1, N mod 4 = 2,3
 }
-// 
+;;
+
+//
 //     For small s: U_2 = N * P_2 - U_1
 //     S_1 stored constant - grab the one stored with the
 //     coefficients.
-// 
+//
 { .mfi
-(p7)   ldfe FR_S_1 = [GR_Table_Base1], 16
+       ldfe FR_S_1 = [GR_ad_s1], 16
 //
 //     Check if i_1 and i_0  != 0
 //
-(p10)  fma.s1	FR_poly = f0, f1, FR_Neg_Two_to_M67
-(p7)   cmp.eq.unc p11, p12 = 0x0, GR_i_0 ;;
+(p10)  fma.s1        FR_poly = f0, f1, FR_Neg_Two_to_M67
+      tbit.z p11,p12 = GR_N_Inc, 1     // p11 if i_0=0, N mod 4 = 0,2
+                                       // p12 if i_0=1, N mod 4 = 1,3
 }
+;;
+
 { .mfi
-	nop.m 999
-(p7)   fms.s1	FR_s = FR_s, f1, FR_r
-	nop.i 999
+        nop.m 999
+       fms.s1        FR_s = FR_s, f1, FR_r
+        nop.i 999
 }
 { .mfi
-	nop.m 999
-// 
+        nop.m 999
+//
 //     S = S - r
 //     U_2 = U_2 + w
 //     load S_1
 //
-(p7)   fma.s1	FR_rsq = FR_r, FR_r, f0
-	nop.i 999 ;;
+       fma.s1        FR_rsq = FR_r, FR_r, f0
+        nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
-(p7)   fma.s1	FR_U_2 = FR_U_2, f1, FR_w
-	nop.i 999
+        nop.m 999
+       fma.s1        FR_U_2 = FR_U_2, f1, FR_w
+        nop.i 999
 }
 { .mfi
-	nop.m 999
-(p7)   fmerge.se FR_Input_X = FR_r, FR_r
-	nop.i 999 ;;
+        nop.m 999
+       fmerge.se FR_tmp_result = FR_r, FR_r
+        nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
-(p10)  fma.s1 FR_Input_X = f0, f1, f1
-	nop.i 999 ;;
+        nop.m 999
+(p10)  fma.s1 FR_tmp_result = f0, f1, f1
+        nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
-// 
+        nop.m 999
+//
 //     FR_rsq = r * r
 //     Save r as the result.
 //
-(p7)   fms.s1	FR_c = FR_s, f1, FR_U_1
-	nop.i 999 ;;
+       fms.s1        FR_c = FR_s, f1, FR_U_1
+        nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
-// 
+        nop.m 999
+//
 //     if ( i_1 ==0) poly = c + S_1*r*r*r
 //     else Result = 1
 //
-(p12)  fnma.s1 FR_Input_X = FR_Input_X, f1, f0
-	nop.i 999
+(p12)  fnma.s1 FR_tmp_result = FR_tmp_result, f1, f0
+        nop.i 999
 }
 { .mfi
-	nop.m 999
-(p7)   fma.s1	FR_r = FR_S_1, FR_r, f0
-	nop.i 999 ;;
+        nop.m 999
+       fma.s1        FR_r = FR_S_1, FR_r, f0
+        nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
-(p7)   fma.s0	FR_S_1 = FR_S_1, FR_S_1, f0
-	nop.i 999 ;;
+        nop.m 999
+       fma.s0        FR_S_1 = FR_S_1, FR_S_1, f0
+        nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
+        nop.m 999
 //
 //     If i_1 != 0, poly = 2**(-67)
 //
-(p7)   fms.s1 FR_c = FR_c, f1, FR_U_2
-	nop.i 999 ;;
+       fms.s1 FR_c = FR_c, f1, FR_U_2
+        nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
-// 
+        nop.m 999
+//
 //     c = c - U_2
-// 
+//
 (p9)   fma.s1 FR_poly = FR_r, FR_rsq, FR_c
-	nop.i 999 ;;
+        nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
+        nop.m 999
 //
 //     i_0 != 0, so Result = -Result
 //
-(p11)  fma.s0 FR_Input_X = FR_Input_X, f1, FR_poly
-	nop.i 999 ;;
+(p11)  fma.s0 FR_Result = FR_tmp_result, f1, FR_poly
+        nop.i 999 ;;
 }
 { .mfb
-	nop.m 999
-(p12)  fms.s0 FR_Input_X = FR_Input_X, f1, FR_poly
+        nop.m 999
+(p12)  fms.s0 FR_Result = FR_tmp_result, f1, FR_poly
 //
 //     if (i_0 == 0),  Result = Result + poly
 //     else            Result = Result - poly
 //
-(p0)    br.ret.sptk   b0 ;;
-}
-L(SINCOSL_LARGER_ARG): 
-{ .mfi
-	nop.m 999
-(p0)   fma.s1 FR_N_0 = FR_Input_X, FR_Inv_P_0, f0
-	nop.i 999
+        br.ret.sptk   b0         // Exit if |s| < 2^-33, and pi/4 <= |x| < 2^24
 }
 ;;
 
-//     This path for argument > 2*24 
-//     Adjust table_ptr1 to beginning of table.
+SINCOSL_LARGER_ARG:
 //
-
-{ .mmi
-      nop.m 999
-(p0)  addl           GR_Table_Base   = @ltoff(FSINCOSL_CONSTANTS#), gp
-      nop.i 999
-}
-;;
-
-{ .mmi
-      ld8 GR_Table_Base = [GR_Table_Base]
-      nop.m 999
-      nop.i 999
+// Here if 2^24 <= |x| < 2^63
+//
+{ .mfi
+      ldfe FR_d_1 = [GR_ad_p], 16          // Load d_1 for |x| >= 2^24 path
+       fma.s1 FR_N_0 = FR_Input_X, FR_Inv_P_0, f0
+        nop.i 999
 }
 ;;
 
-
-// 
-//     Point to  2*-14 
+//
 //     N_0 = Arg * Inv_P_0
 //
+//     Load values 2**(-14) and -2**(-14)
 { .mmi
-(p0)   add GR_Table_Base = 688, GR_Table_Base ;;
-(p0)   ldfs FR_Two_to_M14 = [GR_Table_Base], 4
-	nop.i 999 ;;
+       ldfps FR_Two_to_M14, FR_Neg_Two_to_M14 = [GR_ad_m14]
+        nop.i 999 ;;
 }
 { .mfi
-(p0)   ldfs FR_Neg_Two_to_M14 = [GR_Table_Base], 0
-	nop.f 999
-	nop.i 999 ;;
+      ldfe FR_d_2 = [GR_ad_p], 16          // Load d_2 for |x| >= 2^24 path
+        nop.f 999
+        nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
+        nop.m 999
 //
-//     Load values 2**(-14) and -2**(-14)
 //
-(p0)   fcvt.fx.s1 FR_N_0_fix = FR_N_0
-	nop.i 999 ;;
+       fcvt.fx.s1 FR_N_0_fix = FR_N_0
+        nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
+        nop.m 999
 //
 //     N_0_fix  = integer part of N_0
 //
-(p0)   fcvt.xf FR_N_0 = FR_N_0_fix 
-	nop.i 999 ;;
+       fcvt.xf FR_N_0 = FR_N_0_fix
+        nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
+        nop.m 999
 //
 //     Make N_0 the integer part
 //
-(p0)   fnma.s1 FR_ArgPrime = FR_N_0, FR_P_0, FR_Input_X
-	nop.i 999
+       fnma.s1 FR_ArgPrime = FR_N_0, FR_P_0, FR_Input_X
+        nop.i 999
 }
 { .mfi
-	nop.m 999
-(p0)   fma.s1 FR_w = FR_N_0, FR_d_1, f0
-	nop.i 999 ;;
+        nop.m 999
+       fma.s1 FR_w = FR_N_0, FR_d_1, f0
+        nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
+        nop.m 999
 //
 //     Arg' = -N_0 * P_0 + Arg
 //     w  = N_0 * d_1
 //
-(p0)   fma.s1 FR_N_float = FR_ArgPrime, FR_Inv_pi_by_2, f0
-	nop.i 999 ;;
+       fma.s1 FR_N_float = FR_ArgPrime, FR_Inv_pi_by_2, f0
+        nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
+        nop.m 999
 //
-//     N = A' * 2/pi	
+//     N = A' * 2/pi
 //
-(p0)   fcvt.fx.s1 FR_N_fix = FR_N_float
-	nop.i 999 ;;
+       fcvt.fx.s1 FR_N_fix = FR_N_float
+        nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
+        nop.m 999
 //
-//     N_fix is the integer part	
+//     N_fix is the integer part
 //
-(p0)   fcvt.xf FR_N_float = FR_N_fix 
-	nop.i 999 ;;
+       fcvt.xf FR_N_float = FR_N_fix
+        nop.i 999 ;;
 }
 { .mfi
-(p0)   getf.sig GR_N_Inc = FR_N_fix
-	nop.f 999
-	nop.i 999 ;;
+       getf.sig GR_N_Inc = FR_N_fix
+        nop.f 999
+        nop.i 999 ;;
 }
 { .mii
-	nop.m 999
-	nop.i 999 ;;
-(p0)   add GR_N_Inc = GR_N_Inc, GR_Sin_or_Cos ;;
+        nop.m 999
+        nop.i 999 ;;
+       add GR_N_Inc = GR_N_Inc, GR_Sin_or_Cos ;;
 }
 { .mfi
-	nop.m 999
+        nop.m 999
 //
 //     N is the integer part of the reduced-reduced argument.
 //     Put the integer in a GP register
 //
-(p0)   fnma.s1 FR_s = FR_N_float, FR_P_1, FR_ArgPrime
-	nop.i 999
+       fnma.s1 FR_s = FR_N_float, FR_P_1, FR_ArgPrime
+        nop.i 999
 }
 { .mfi
-	nop.m 999
-(p0)   fnma.s1 FR_w = FR_N_float, FR_P_2, FR_w
-	nop.i 999 ;;
+        nop.m 999
+       fnma.s1 FR_w = FR_N_float, FR_P_2, FR_w
+        nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
+        nop.m 999
 //
 //     s = -N*P_1 + Arg'
 //     w = -N*P_2 + w
 //     N_fix_gr = N_fix_gr + N_inc
 //
-(p0)   fcmp.lt.unc.s1 p9, p8 = FR_s, FR_Two_to_M14
-	nop.i 999 ;;
+       fcmp.lt.unc.s1 p9, p8 = FR_s, FR_Two_to_M14
+        nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
-(p9)   fcmp.gt.s1 p9, p8 = FR_s, FR_Neg_Two_to_M14
-	nop.i 999 ;;
+        nop.m 999
+(p9)   fcmp.gt.s1 p9, p8 = FR_s, FR_Neg_Two_to_M14  // p9 if |s| < 2^-14
+        nop.i 999 ;;
 }
+
 { .mfi
-	nop.m 999
+        nop.m 999
 //
 //     For |s|  > 2**(-14) r = S + w (r complete)
 //     Else       U_hi = N_0 * d_1
 //
 (p9)   fma.s1 FR_V_hi = FR_N_float, FR_P_2, f0
-	nop.i 999
+        nop.i 999
 }
 { .mfi
-	nop.m 999
+        nop.m 999
 (p9)   fma.s1 FR_U_hi = FR_N_0, FR_d_1, f0
-	nop.i 999 ;;
+        nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
+        nop.m 999
 //
 //     Either S <= -2**(-14) or S >= 2**(-14)
 //     or -2**(-14) < s < 2**(-14)
 //
 (p8)   fma.s1 FR_r = FR_s, f1, FR_w
-	nop.i 999
+        nop.i 999
 }
 { .mfi
-	nop.m 999
+        nop.m 999
 (p9)   fma.s1 FR_w = FR_N_float, FR_P_3, f0
-	nop.i 999 ;;
+        nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
+        nop.m 999
 //
 //     We need abs of both U_hi and V_hi - don't
 //     worry about switched sign of V_hi.
 //
 (p9)   fms.s1 FR_A = FR_U_hi, f1, FR_V_hi
-	nop.i 999
+        nop.i 999
 }
 { .mfi
-	nop.m 999
+        nop.m 999
 //
-//     Big s: finish up c = (S - r) + w (c complete)	
+//     Big s: finish up c = (S - r) + w (c complete)
 //     Case 4: A =  U_hi + V_hi
 //     Note: Worry about switched sign of V_hi, so subtract instead of add.
 //
 (p9)   fnma.s1 FR_V_lo = FR_N_float, FR_P_2, FR_V_hi
-	nop.i 999 ;;
+        nop.i 999 ;;
 }
 { .mmf
-	nop.m 999
-	nop.m 999
+        nop.m 999
+        nop.m 999
 (p9)   fms.s1 FR_U_lo = FR_N_0, FR_d_1, FR_U_hi
 }
 { .mfi
-	nop.m 999
+        nop.m 999
 (p9)   fmerge.s FR_V_hiabs = f0, FR_V_hi
-	nop.i 999 ;;
+        nop.i 999 ;;
 }
+//{ .mfb
+//(p9)   fmerge.s f8= FR_V_lo,FR_V_lo
+//(p9)   br.ret.sptk b0
+//}
+//;;
 { .mfi
-	nop.m 999
+        nop.m 999
 //     For big s: c = S - r
 //     For small s do more work: U_lo = N_0 * d_1 - U_hi
 //
 (p9)   fmerge.s FR_U_hiabs = f0, FR_U_hi
-	nop.i 999
+        nop.i 999
 }
 { .mfi
-	nop.m 999
+        nop.m 999
 //
-//     For big s: Is |r| < 2**(-3)	
+//     For big s: Is |r| < 2**(-3)
 //     For big s: if p12 set, prepare to branch to Small_R.
 //     For big s: If p13 set, prepare to branch to Normal_R.
 //
-(p8)   fms.s1 FR_c = FR_s, f1, FR_r 
-	nop.i 999 ;;
+(p8)   fms.s1 FR_c = FR_s, f1, FR_r
+        nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
+        nop.m 999
 //
 //     For small S: V_hi = N * P_2
 //                  w = N * P_3
@@ -1451,104 +1482,99 @@ L(SINCOSL_LARGER_ARG):
 //     so (-) missing for V_hi and w.
 //
 (p8)   fcmp.lt.unc.s1 p12, p13 = FR_r, FR_Two_to_M3
-	nop.i 999 ;;
+        nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
+        nop.m 999
 (p12)  fcmp.gt.s1 p12, p13 = FR_r, FR_Neg_Two_to_M3
-	nop.i 999 ;;
+        nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
+        nop.m 999
 (p8)   fma.s1 FR_c = FR_c, f1, FR_w
-	nop.i 999
+        nop.i 999
 }
 { .mfb
-	nop.m 999
+        nop.m 999
 (p9)   fms.s1 FR_w = FR_N_0, FR_d_2, FR_w
-(p12)  br.cond.spnt L(SINCOSL_SMALL_R) ;;
+(p12)  br.cond.spnt SINCOSL_SMALL_R      // Branch if |r| < 2^-3
+                                         // and 2^24 <= |x| < 2^63
 }
+;;
+
 { .mib
-	nop.m 999
-	nop.i 999
-(p13)  br.cond.sptk L(SINCOSL_NORMAL_R) ;;
+        nop.m 999
+        nop.i 999
+(p13)  br.cond.sptk SINCOSL_NORMAL_R     // Branch if |r| >= 2^-3
+                                         // and 2^24 <= |x| < 2^63
 }
+;;
+
+SINCOSL_LARGER_S_TINY:
+//
+// Here if |s| < 2^-14, and 2^24 <= |x| < 2^63
+//
 { .mfi
-	nop.m 999
-// 
-//     Big s: Vector off when |r| < 2**(-3).  Recall that p8 will be true. 
+        nop.m 999
+//
+//     Big s: Vector off when |r| < 2**(-3).  Recall that p8 will be true.
 //     The remaining stuff is for Case 4.
 //     Small s: V_lo = N * P_2 + U_hi (U_hi is in place of V_hi in writeup)
 //     Note: the (-) is still missing for V_lo.
 //     Small s: w = w + N_0 * d_2
 //     Note: the (-) is now incorporated in w.
 //
-(p9)   fcmp.ge.unc.s1 p10, p11 = FR_U_hiabs, FR_V_hiabs
-(p0)   extr.u	GR_i_1 = GR_N_Inc, 0, 1
+       fcmp.ge.unc.s1 p7, p8 = FR_U_hiabs, FR_V_hiabs
 }
 { .mfi
-	nop.m 999
+        nop.m 999
 //
 //     C_hi = S + A
 //
-(p9)   fma.s1 FR_t = FR_U_lo, f1, FR_V_lo
-(p0)   extr.u	GR_i_0 = GR_N_Inc, 1, 1 ;;
+       fma.s1 FR_t = FR_U_lo, f1, FR_V_lo
 }
+;;
+
 { .mfi
-	nop.m 999
+        nop.m 999
 //
-//     t = U_lo + V_lo 
+//     t = U_lo + V_lo
 //
 //
-(p10)  fms.s1 FR_a = FR_U_hi, f1, FR_A
-	nop.i 999 ;;
+(p7)  fms.s1 FR_a = FR_U_hi, f1, FR_A
+        nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
-(p11)  fma.s1 FR_a = FR_V_hi, f1, FR_A
-	nop.i 999
-}
-;;
-
-{ .mmi
-      nop.m 999
-(p0)  addl           GR_Table_Base   = @ltoff(FSINCOSL_CONSTANTS#), gp
-      nop.i 999
-}
-;;
-
-{ .mmi
-      ld8 GR_Table_Base = [GR_Table_Base]
-      nop.m 999
-      nop.i 999
+        nop.m 999
+(p8)  fma.s1 FR_a = FR_V_hi, f1, FR_A
+        nop.i 999
 }
 ;;
 
-
 { .mfi
-(p0)   add GR_Table_Base = 528, GR_Table_Base
 //
 //     Is U_hiabs >= V_hiabs?
 //
-(p9)   fma.s1 FR_C_hi = FR_s, f1, FR_A
-	nop.i 999 ;;
+        nop.m 999
+       fma.s1 FR_C_hi = FR_s, f1, FR_A
+        nop.i 999 ;;
 }
 { .mmi
-(p0)   ldfe FR_C_1 = [GR_Table_Base], 16 ;;
-(p0)   ldfe FR_C_2 = [GR_Table_Base], 64
-	nop.i 999 ;;
+       ldfe FR_C_1 = [GR_ad_c], 16 ;;
+       ldfe FR_C_2 = [GR_ad_c], 64
+        nop.i 999 ;;
 }
 //
 //     c = c + C_lo  finished.
 //     Load  C_2
 //
 { .mfi
-(p0)   ldfe	FR_S_1 = [GR_Table_Base], 16
+       ldfe        FR_S_1 = [GR_ad_s], 16
 //
-//     C_lo = S - C_hi 
+//     C_lo = S - C_hi
 //
-(p0)   fma.s1 FR_t = FR_t, f1, FR_w
-	nop.i 999 ;;
+       fma.s1 FR_t = FR_t, f1, FR_w
+        nop.i 999 ;;
 }
 //
 //     r and c have been computed.
@@ -1558,855 +1584,695 @@ L(SINCOSL_LARGER_ARG):
 //     Load S_1
 //
 { .mfi
-(p0)   ldfe FR_S_2 = [GR_Table_Base], 64
+       ldfe FR_S_2 = [GR_ad_s], 64
 //
-//     t = t + w	
+//     t = t + w
 //
-(p10)  fms.s1 FR_a = FR_a, f1, FR_V_hi
-(p0)   cmp.eq.unc p9, p10 = 0x0, GR_i_0 ;;
+(p7)  fms.s1 FR_a = FR_a, f1, FR_V_hi
+      tbit.z p9,p10 = GR_N_Inc, 0      // p9  if i_1=0, N mod 4 = 0,1
+                                       // p10 if i_1=1, N mod 4 = 2,3
 }
+;;
 { .mfi
-	nop.m 999
+        nop.m 999
 //
 //     For larger u than v: a = U_hi - A
 //     Else a = V_hi - A (do an add to account for missing (-) on V_hi
 //
-(p0)   fms.s1 FR_C_lo = FR_s, f1, FR_C_hi
-	nop.i 999 ;;
+       fms.s1 FR_C_lo = FR_s, f1, FR_C_hi
+        nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
-(p11)  fms.s1 FR_a = FR_U_hi, f1, FR_a
-(p0)   cmp.eq.unc p11, p12 = 0x0, GR_i_1 ;;
+        nop.m 999
+(p8)  fms.s1 FR_a = FR_U_hi, f1, FR_a
+      tbit.z p11,p12 = GR_N_Inc, 1     // p11 if i_0=0, N mod 4 = 0,2
+                                       // p12 if i_0=1, N mod 4 = 1,3
 }
+;;
+
 { .mfi
-	nop.m 999
+        nop.m 999
 //
 //     If u > v: a = (U_hi - A)  + V_hi
 //     Else      a = (V_hi - A)  + U_hi
 //     In each case account for negative missing from V_hi.
 //
-(p0)   fma.s1 FR_C_lo = FR_C_lo, f1, FR_A
-	nop.i 999 ;;
+       fma.s1 FR_C_lo = FR_C_lo, f1, FR_A
+        nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
+        nop.m 999
 //
-//     C_lo = (S - C_hi) + A	
+//     C_lo = (S - C_hi) + A
 //
-(p0)   fma.s1 FR_t = FR_t, f1, FR_a
-	nop.i 999 ;;
+       fma.s1 FR_t = FR_t, f1, FR_a
+        nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
+        nop.m 999
 //
-//     t = t + a 
+//     t = t + a
 //
-(p0)   fma.s1 FR_C_lo = FR_C_lo, f1, FR_t
-	nop.i 999 ;;
+       fma.s1 FR_C_lo = FR_C_lo, f1, FR_t
+        nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
+        nop.m 999
 //
 //     C_lo = C_lo + t
-//     Adjust Table_Base to beginning of table
 //
-(p0)   fma.s1 FR_r = FR_C_hi, f1, FR_C_lo
-	nop.i 999 ;;
+       fma.s1 FR_r = FR_C_hi, f1, FR_C_lo
+        nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
+        nop.m 999
 //
 //     Load S_2
 //
-(p0)   fma.s1 FR_rsq = FR_r, FR_r, f0
-	nop.i 999
+       fma.s1 FR_rsq = FR_r, FR_r, f0
+        nop.i 999
 }
 { .mfi
-	nop.m 999
+        nop.m 999
 //
-//     Table_Base points to C_1
 //     r = C_hi + C_lo
 //
-(p0)   fms.s1 FR_c = FR_C_hi, f1, FR_r
-	nop.i 999 ;;
+       fms.s1 FR_c = FR_C_hi, f1, FR_r
+        nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
+        nop.m 999
 //
 //     if i_1 ==0: poly = S_2 * FR_rsq + S_1
 //     else        poly = C_2 * FR_rsq + C_1
 //
-(p11)  fma.s1 FR_Input_X = f0, f1, FR_r
-	nop.i 999 ;;
+(p9)  fma.s1 FR_tmp_result = f0, f1, FR_r
+        nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
-(p12)  fma.s1 FR_Input_X = f0, f1, f1
-	nop.i 999 ;;
+        nop.m 999
+(p10)  fma.s1 FR_tmp_result = f0, f1, f1
+        nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
+        nop.m 999
 //
-//     Compute r_cube = FR_rsq * r	
+//     Compute r_cube = FR_rsq * r
 //
-(p11)  fma.s1 FR_poly = FR_rsq, FR_S_2, FR_S_1
-	nop.i 999 ;;
+(p9)  fma.s1 FR_poly = FR_rsq, FR_S_2, FR_S_1
+        nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
-(p12)  fma.s1 FR_poly = FR_rsq, FR_C_2, FR_C_1
-	nop.i 999
+        nop.m 999
+(p10)  fma.s1 FR_poly = FR_rsq, FR_C_2, FR_C_1
+        nop.i 999
 }
 { .mfi
-	nop.m 999
+        nop.m 999
 //
 //     Compute FR_rsq = r * r
 //     Is i_1 == 0 ?
 //
-(p0)   fma.s1 FR_r_cubed = FR_rsq, FR_r, f0
-	nop.i 999 ;;
+       fma.s1 FR_r_cubed = FR_rsq, FR_r, f0
+        nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
+        nop.m 999
 //
 //     c = C_hi - r
 //     Load  C_1
 //
-(p0)   fma.s1 FR_c = FR_c, f1, FR_C_lo
-	nop.i 999
+       fma.s1 FR_c = FR_c, f1, FR_C_lo
+        nop.i 999
 }
 { .mfi
-	nop.m 999
+        nop.m 999
 //
 //     if i_1 ==0: poly = r_cube * poly + c
 //     else        poly = FR_rsq * poly
 //
-(p10)  fms.s1 FR_Input_X = f0, f1, FR_Input_X
-	nop.i 999 ;;
+(p12)  fms.s1 FR_tmp_result = f0, f1, FR_tmp_result
+        nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
+        nop.m 999
 //
 //     if i_1 ==0: Result = r
 //     else        Result = 1.0
 //
-(p11)  fma.s1 FR_poly = FR_r_cubed, FR_poly, FR_c
-	nop.i 999 ;;
+(p9)  fma.s1 FR_poly = FR_r_cubed, FR_poly, FR_c
+        nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
-(p12)  fma.s1 FR_poly = FR_rsq, FR_poly, f0
-	nop.i 999 ;;
+        nop.m 999
+(p10)  fma.s1 FR_poly = FR_rsq, FR_poly, f0
+        nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
+        nop.m 999
 //
-//     if i_0 !=0: Result = -Result 
+//     if i_0 !=0: Result = -Result
 //
-(p9)   fma.s0 FR_Input_X = FR_Input_X, f1, FR_poly
-	nop.i 999 ;;
+(p11)   fma.s0 FR_Result = FR_tmp_result, f1, FR_poly
+        nop.i 999 ;;
 }
 { .mfb
-	nop.m 999
-(p10)  fms.s0 FR_Input_X = FR_Input_X, f1, FR_poly
+        nop.m 999
+(p12)  fms.s0 FR_Result = FR_tmp_result, f1, FR_poly
 //
 //     if i_0 == 0: Result = Result + poly
 //     else         Result = Result - poly
 //
-(p0)    br.ret.sptk   b0 ;;
+      br.ret.sptk   b0         // Exit for |s| < 2^-14, and 2^24 <= |x| < 2^63
 }
-L(SINCOSL_SMALL_R): 
-{ .mii
-	nop.m 999
-(p0)  	extr.u	GR_i_1 = GR_N_Inc, 0, 1 ;;
+;;
+
+
+SINCOSL_SMALL_R:
 //
+// Here if |r| < 2^-3
+//
+// Enter with r, c, and N_Inc computed
 //
 //      Compare both i_1 and i_0 with 0.
 //      if i_1 == 0, set p9.
 //      if i_0 == 0, set p11.
 //
-(p0)  	cmp.eq.unc p9, p10 = 0x0, GR_i_1 ;;
-}
-{ .mfi
-	nop.m 999
-(p0)  	fma.s1 FR_rsq = FR_r, FR_r, f0
-(p0)  	extr.u	GR_i_0 = GR_N_Inc, 1, 1 ;;
-}
+
 { .mfi
-	nop.m 999
-//
-// 	Z = Z * FR_rsq 
-//
-(p10)	fnma.s1	FR_c = FR_c, FR_r, f0
-(p0)  	cmp.eq.unc p11, p12 = 0x0, GR_i_0
+      nop.m 999
+      fma.s1 FR_rsq = FR_r, FR_r, f0   // rsq = r * r
+      tbit.z p9,p10 = GR_N_Inc, 0      // p9  if i_1=0, N mod 4 = 0,1
+                                       // p10 if i_1=1, N mod 4 = 2,3
 }
 ;;
 
-// ******************************************************************
-// ******************************************************************
-// ******************************************************************
-//      r and c have been computed.
-//      We know whether this is the sine or cosine routine.
-//      Make sure ftz mode is set - should be automatic when using wre
-//      |r| < 2**(-3)
-//
-//      Set table_ptr1 to beginning of constant table.
-//      Get [i_0,i_1] - two lsb of N_fix_gr.
-//
-
 { .mmi
-      nop.m 999
-(p0)  addl           GR_Table_Base   = @ltoff(FSINCOSL_CONSTANTS#), gp
+(p9)  ldfe FR_S_5 = [GR_ad_se], -16    // Load S_5 if i_1=0
+(p10) ldfe FR_C_5 = [GR_ad_ce], -16    // Load C_5 if i_1=1
       nop.i 999
 }
 ;;
 
 { .mmi
-      ld8 GR_Table_Base = [GR_Table_Base]
-      nop.m 999
+(p9)  ldfe FR_S_4 = [GR_ad_se], -16    // Load S_4 if i_1=0
+(p10) ldfe FR_C_4 = [GR_ad_ce], -16    // Load C_4 if i_1=1
       nop.i 999
 }
 ;;
 
-
-// 
-//      Set table_ptr1 to point to S_5.
-//      Set table_ptr1 to point to C_5.
-//      Compute FR_rsq = r * r
-//
-{ .mfi
-(p9)  	add GR_Table_Base = 672, GR_Table_Base
-(p10)	fmerge.s FR_r = f1, f1
-(p10) 	add GR_Table_Base = 592, GR_Table_Base ;;
+SINCOSL_SMALL_R_0:
+// Entry point for 2^-3 < |x| < pi/4
+.pred.rel "mutex",p9,p10
+SINCOSL_SMALL_R_1:
+// Entry point for pi/4 < |x| < 2^24 and |r| < 2^-3
+.pred.rel "mutex",p9,p10
+{ .mfi
+(p9)  ldfe FR_S_3 = [GR_ad_se], -16    // Load S_3 if i_1=0
+      fma.s1 FR_Z = FR_rsq, FR_rsq, f0 // Z = rsq * rsq
+      nop.i 999
 }
-// 
-//      Set table_ptr1 to point to S_5.
-//      Set table_ptr1 to point to C_5.
-//
-{ .mmi
-(p9)  	ldfe FR_S_5 = [GR_Table_Base], -16 ;;
-//
-//      if (i_1 == 0) load S_5
-//      if (i_1 != 0) load C_5
-//
-(p9)  	ldfe FR_S_4 = [GR_Table_Base], -16
-	nop.i 999 ;;
+{ .mfi
+(p10) ldfe FR_C_3 = [GR_ad_ce], -16    // Load C_3 if i_1=1
+(p10) fnma.s1 FR_c = FR_c, FR_r, f0    // c = -c * r if i_1=0
+      nop.i 999
 }
+;;
+
 { .mmf
-(p10) 	ldfe FR_C_5 = [GR_Table_Base], -16
-// 
-//      Z = FR_rsq * FR_rsq
-//
-(p9)  	ldfe FR_S_3 = [GR_Table_Base], -16
-//
-//      Compute FR_rsq = r * r
-//      if (i_1 == 0) load S_4
-//      if (i_1 != 0) load C_4
-//
-(p0)   	fma.s1 FR_Z = FR_rsq, FR_rsq, f0 ;;
-}
-//
-//      if (i_1 == 0) load S_3
-//      if (i_1 != 0) load C_3
-//
-{ .mmi
-(p9)  	ldfe FR_S_2 = [GR_Table_Base], -16 ;;
-//
-//      if (i_1 == 0) load S_2
-//      if (i_1 != 0) load C_2
-//
-(p9)  	ldfe FR_S_1 = [GR_Table_Base], -16
-	nop.i 999
-}
-{ .mmi
-(p10) 	ldfe FR_C_4 = [GR_Table_Base], -16 ;;
-(p10)  	ldfe FR_C_3 = [GR_Table_Base], -16
-	nop.i 999 ;;
+(p9)  ldfe FR_S_2 = [GR_ad_se], -16    // Load S_2 if i_1=0
+(p10) ldfe FR_C_2 = [GR_ad_ce], -16    // Load C_2 if i_1=1
+(p10) fmerge.s FR_r = f1, f1
 }
+;;
+
 { .mmi
-(p10) 	ldfe FR_C_2 = [GR_Table_Base], -16 ;;
-(p10) 	ldfe FR_C_1 = [GR_Table_Base], -16
-	nop.i 999
-}
-{ .mfi
-	nop.m 999
-//
-//      if (i_1 != 0):
-//      poly_lo = FR_rsq * C_5 + C_4
-//      poly_hi = FR_rsq * C_2 + C_1
-//
-(p9)  	fma.s1 FR_Z = FR_Z, FR_r, f0
-	nop.i 999 ;;
+(p9)  ldfe FR_S_1 = [GR_ad_se], -16    // Load S_1 if i_1=0
+(p10) ldfe FR_C_1 = [GR_ad_ce], -16    // Load C_1 if i_1=1
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-//
-//      if (i_1 == 0) load S_1
-//      if (i_1 != 0) load C_1
-//
-(p9)  	fma.s1 FR_poly_lo = FR_rsq, FR_S_5, FR_S_4
-	nop.i 999
+      nop.m 999
+(p9)  fma.s1 FR_Z = FR_Z, FR_r, f0     // Z = Z * r if i_1=0
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-//
-//      c = -c * r
-//      dummy fmpy's to flag inexact.
-//
-(p9)	fma.s0 FR_S_4 = FR_S_4, FR_S_4, f0
-	nop.i 999 ;;
+      nop.m 999
+(p9)  fma.s1 FR_poly_lo = FR_rsq, FR_S_5, FR_S_4 // poly_lo=rsq*S_5+S_4 if i_1=0
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-//
-//      poly_lo = FR_rsq * poly_lo + C_3
-//      poly_hi = FR_rsq * poly_hi
-//
-(p0)    fma.s1	FR_Z = FR_Z, FR_rsq, f0
-	nop.i 999 ;;
+      nop.m 999
+(p10) fma.s1 FR_poly_lo = FR_rsq, FR_C_5, FR_C_4 // poly_lo=rsq*C_5+C_4 if i_1=1
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p9)  	fma.s1 FR_poly_hi = FR_rsq, FR_S_2, FR_S_1
-	nop.i 999
+      nop.m 999
+(p9)  fma.s1 FR_poly_hi = FR_rsq, FR_S_2, FR_S_1 // poly_hi=rsq*S_2+S_1 if i_1=0
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-//
-//      if (i_1 == 0):
-//      poly_lo = FR_rsq * S_5 + S_4
-//      poly_hi = FR_rsq * S_2 + S_1
-//
-(p10) 	fma.s1 FR_poly_lo = FR_rsq, FR_C_5, FR_C_4
-	nop.i 999 ;;
+      nop.m 999
+(p10) fma.s1 FR_poly_hi = FR_rsq, FR_C_2, FR_C_1 // poly_hi=rsq*C_2+C_1 if i_1=1
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-//
-//      if (i_1 == 0):
-//      Z = Z * r  for only one of the small r cases - not there
-//      in original implementation notes.
-// 
-(p9)  	fma.s1 FR_poly_lo = FR_rsq, FR_poly_lo, FR_S_3
-	nop.i 999 ;;
+      nop.m 999
+      fma.s1 FR_Z = FR_Z, FR_rsq, f0             // Z = Z * rsq
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p10) 	fma.s1 FR_poly_hi = FR_rsq, FR_C_2, FR_C_1
-	nop.i 999
+      nop.m 999
+(p9)  fma.s1 FR_poly_lo = FR_rsq, FR_poly_lo, FR_S_3 // p_lo=p_lo*rsq+S_3, i_1=0
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-(p10)	fma.s0 FR_C_1 = FR_C_1, FR_C_1, f0
-	nop.i 999 ;;
+      nop.m 999
+(p10) fma.s1 FR_poly_lo = FR_rsq, FR_poly_lo, FR_C_3 // p_lo=p_lo*rsq+C_3, i_1=1
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p9)  	fma.s1 FR_poly_hi = FR_poly_hi, FR_rsq, f0
-	nop.i 999
+      nop.m 999
+(p9)  fma.s0 FR_inexact = FR_S_4, FR_S_4, f0     // Dummy op to set inexact
+      tbit.z p11,p12 = GR_N_Inc, 1     // p11 if i_0=0, N mod 4 = 0,2
+                                       // p12 if i_0=1, N mod 4 = 1,3
 }
 { .mfi
-	nop.m 999
-//
-//      poly_lo = FR_rsq * poly_lo + S_3
-//      poly_hi = FR_rsq * poly_hi
-//
-(p10) 	fma.s1 FR_poly_lo = FR_rsq, FR_poly_lo, FR_C_3
-	nop.i 999 ;;
+      nop.m 999
+(p10) fma.s0 FR_inexact = FR_C_1, FR_C_1, f0     // Dummy op to set inexact
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p10) 	fma.s1 FR_poly_hi = FR_poly_hi, FR_rsq, f0
-	nop.i 999 ;;
+      nop.m 999
+(p9)  fma.s1 FR_poly_hi = FR_poly_hi, FR_rsq, f0     // p_hi=p_hi*rsq if i_1=0
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-//
-// 	if (i_1 == 0): dummy fmpy's to flag inexact
-// 	r = 1
-//
-(p9)	fma.s1 FR_poly_hi = FR_r, FR_poly_hi, f0
-	nop.i 999
+      nop.m 999
+(p10) fma.s1 FR_poly_hi = FR_poly_hi, FR_rsq, f0     // p_hi=p_hi*rsq if i_1=1
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-//
-// 	poly_hi = r * poly_hi 
-//
-(p0)    fma.s1	FR_poly = FR_Z, FR_poly_lo, FR_c
-	nop.i 999 ;;
+      nop.m 999
+      fma.s1 FR_poly = FR_Z, FR_poly_lo, FR_c        // poly=Z*poly_lo+c
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p12)	fms.s1	FR_r = f0, f1, FR_r
-	nop.i 999 ;;
+      nop.m 999
+(p9)  fma.s1 FR_poly_hi = FR_r, FR_poly_hi, f0       // p_hi=r*p_hi if i_1=0
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-//
-//      poly_hi = Z * poly_lo + c	
-// 	if i_0 == 1: r = -r     
-//
-(p0) 	fma.s1	FR_poly = FR_poly, f1, FR_poly_hi
-	nop.i 999 ;;
+      nop.m 999
+(p12) fms.s1 FR_r = f0, f1, FR_r                     // r = -r if i_0=1
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p12)	fms.s0 FR_Input_X = FR_r, f1, FR_poly
-	nop.i 999
+      nop.m 999
+      fma.s1 FR_poly = FR_poly, f1, FR_poly_hi       // poly=poly+poly_hi
+      nop.i 999
 }
-{ .mfb
-	nop.m 999
-//
-//      poly = poly + poly_hi	
-//
-(p11)	fma.s0 FR_Input_X = FR_r, f1, FR_poly
+;;
+
 //
 //      if (i_0 == 0) Result = r + poly
 //      if (i_0 != 0) Result = r - poly
 //
-(p0)    br.ret.sptk   b0 ;;
-}
-L(SINCOSL_NORMAL_R): 
-{ .mii
-	nop.m 999
-(p0)	extr.u	GR_i_1 = GR_N_Inc, 0, 1 ;;
-//
-//      Set table_ptr1 and table_ptr2 to base address of
-//      constant table.
-(p0)	cmp.eq.unc p9, p10 = 0x0, GR_i_1 ;;
-}
 { .mfi
-	nop.m 999
-(p0)	fma.s1	FR_rsq = FR_r, FR_r, f0
-(p0)	extr.u	GR_i_0 = GR_N_Inc, 1, 1 ;;
+      nop.m 999
+(p11) fma.s0 FR_Result = FR_r, f1, FR_poly
+      nop.i 999
 }
-{ .mfi
-	nop.m 999
-(p0)	frcpa.s1 FR_r_hi, p6 = f1, FR_r
-(p0)	cmp.eq.unc p11, p12 = 0x0, GR_i_0
+{ .mfb
+      nop.m 999
+(p12) fms.s0 FR_Result = FR_r, f1, FR_poly
+      br.ret.sptk   b0                               // Exit for |r| < 2^-3
 }
 ;;
 
-// ******************************************************************
-// ******************************************************************
-// ******************************************************************
+
+SINCOSL_NORMAL_R:
 //
-//      r and c have been computed.
-//      We known whether this is the sine or cosine routine.
-//      Make sure ftz mode is set - should be automatic when using wre
-//      Get [i_0,i_1] - two lsb of N_fix_gr alone.
+// Here if 2^-3 <= |r| < pi/4
+// THIS IS THE MAIN PATH
 //
-
-{ .mmi
-      nop.m 999
-(p0)  addl           GR_Table_Base   = @ltoff(FSINCOSL_CONSTANTS#), gp
+// Enter with r, c, and N_Inc having been computed
+//
+{ .mfi
+      ldfe FR_PP_6 = [GR_ad_pp], 16    // Load PP_6
+      fma.s1 FR_rsq = FR_r, FR_r, f0   // rsq = r * r
+      tbit.z p9,p10 = GR_N_Inc, 0      // p9  if i_1=0, N mod 4 = 0,1
+                                       // p10 if i_1=1, N mod 4 = 2,3
+}
+{ .mfi
+      ldfe FR_QQ_6 = [GR_ad_qq], 16    // Load QQ_6
+      nop.f 999
       nop.i 999
 }
 ;;
 
 { .mmi
-      ld8 GR_Table_Base = [GR_Table_Base]
-      nop.m 999
+(p9)  ldfe FR_PP_5 = [GR_ad_pp], 16    // Load PP_5 if i_1=0
+(p10) ldfe FR_QQ_5 = [GR_ad_qq], 16    // Load QQ_5 if i_1=1
       nop.i 999
 }
 ;;
 
+SINCOSL_NORMAL_R_0:
+// Entry for 2^-3 < |x| < pi/4
+.pred.rel "mutex",p9,p10
+{ .mmf
+(p9)  ldfe FR_C_1 = [GR_ad_pp], 16     // Load C_1 if i_1=0
+(p10) ldfe FR_S_1 = [GR_ad_qq], 16     // Load S_1 if i_1=1
+      frcpa.s1 FR_r_hi, p6 = f1, FR_r  // r_hi = frcpa(r)
+}
+;;
 
 { .mfi
-(p10)	add GR_Table_Base = 384, GR_Table_Base
-(p12)	fms.s1 FR_Input_X = f0, f1, f1
-(p9)	add GR_Table_Base = 224, GR_Table_Base ;;
+      nop.m 999
+(p9)  fma.s1 FR_poly = FR_rsq, FR_PP_8, FR_PP_7 // poly = rsq*PP_8+PP_7 if i_1=0
+      nop.i 999
 }
 { .mfi
-(p10)	ldfe FR_QQ_8 = [GR_Table_Base], 16
-//
-//      if (i_1==0) poly = poly * FR_rsq + PP_1_lo
-//      else        poly = FR_rsq * poly
-//
-(p11)	fma.s1 FR_Input_X = f0, f1, f1
-	nop.i 999 ;;
-}
-{ .mmb
-(p10)	ldfe FR_QQ_7 = [GR_Table_Base], 16
-//
-// 	Adjust table pointers based on i_0 
-//      Compute rsq = r * r
-//
-(p9)	ldfe FR_PP_8 = [GR_Table_Base], 16
-	nop.b 999 ;;
+      nop.m 999
+(p10) fma.s1 FR_poly = FR_rsq, FR_QQ_8, FR_QQ_7 // poly = rsq*QQ_8+QQ_7 if i_1=1
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p0)	fma.s1 FR_r_cubed = FR_r, FR_rsq, f0
-	nop.i 999 ;;
+      nop.m 999
+      fma.s1 FR_r_cubed = FR_r, FR_rsq, f0  // rcubed = r * rsq
+      nop.i 999
 }
+;;
+
+
+SINCOSL_NORMAL_R_1:
+// Entry for pi/4 <= |x| < 2^24
+.pred.rel "mutex",p9,p10
 { .mmf
-(p9)	ldfe FR_PP_7 = [GR_Table_Base], 16
-(p10)	ldfe FR_QQ_6 = [GR_Table_Base], 16
-//
-//      Load PP_8 and QQ_8; PP_7 and QQ_7
-//
-(p0)	frcpa.s1 FR_r_hi, p6 = f1, FR_r_hi ;;
-}
-//
-//      if (i_1==0) poly =   PP_7 + FR_rsq * PP_8.
-//      else        poly =   QQ_7 + FR_rsq * QQ_8.
-//
-{ .mmb
-(p9)	ldfe FR_PP_6 = [GR_Table_Base], 16
-(p10)	ldfe FR_QQ_5 = [GR_Table_Base], 16
-	nop.b 999 ;;
-}
-{ .mmb
-(p9)	ldfe FR_PP_5 = [GR_Table_Base], 16
-(p10)	ldfe FR_S_1 = [GR_Table_Base], 16
-	nop.b 999 ;;
-}
-{ .mmb
-(p10)	ldfe FR_QQ_1 = [GR_Table_Base], 16
-(p9)	ldfe FR_C_1 = [GR_Table_Base], 16
-	nop.b 999 ;;
-}
-{ .mmb
-(p10)	ldfe FR_QQ_4 = [GR_Table_Base], 16
-(p9)	ldfe FR_PP_1 = [GR_Table_Base], 16
-	nop.b 999 ;;
-}
-{ .mmb
-(p10)	ldfe FR_QQ_3 = [GR_Table_Base], 16
-//
-//      if (i_1=0) corr = corr + c*c
-//      else       corr = corr * c 
-//
-(p9)	ldfe FR_PP_4 = [GR_Table_Base], 16
-	nop.b 999 ;;
-}
-{ .mfi
-	nop.m 999
-(p10)	fma.s1 FR_poly = FR_rsq, FR_QQ_8, FR_QQ_7
-	nop.i 999 ;;
-}
-//
-//      if (i_1=0) poly = rsq * poly + PP_5 
-//      else       poly = rsq * poly + QQ_5 
-//      Load PP_4 or QQ_4
-//
-{ .mmi
-(p9)	ldfe FR_PP_3 = [GR_Table_Base], 16 ;;
-(p10)	ldfe FR_QQ_2 = [GR_Table_Base], 16
-	nop.i 999
+(p9)  ldfe FR_PP_1 = [GR_ad_pp], 16             // Load PP_1_hi if i_1=0
+(p10) ldfe FR_QQ_1 = [GR_ad_qq], 16             // Load QQ_1    if i_1=1
+      frcpa.s1 FR_r_hi, p6 = f1, FR_r_hi        // r_hi = frpca(frcpa(r))
 }
+;;
+
 { .mfi
-	nop.m 999
-//
-//      r_hi =   frcpa(frcpa(r)).
-//      r_cube = r * FR_rsq.
-//
-(p9)	fma.s1 FR_poly = FR_rsq, FR_PP_8, FR_PP_7
-	nop.i 999 ;;
+(p9)  ldfe FR_PP_4 = [GR_ad_pp], 16             // Load PP_4 if i_1=0
+(p9)  fma.s1 FR_poly = FR_rsq, FR_poly, FR_PP_6 // poly = rsq*poly+PP_6 if i_1=0
+      nop.i 999
 }
-//
-//      Do dummy multiplies so inexact is always set. 
-//
 { .mfi
-(p9)	ldfe FR_PP_2 = [GR_Table_Base], 16
-//
-//      r_lo = r - r_hi	
-//
-(p9)	fma.s1 FR_U_lo = FR_r_hi, FR_r_hi, f0
-	nop.i 999 ;;
-}
-{ .mbb
-(p9)	ldfe FR_PP_1_lo = [GR_Table_Base], 16
-	nop.b 999
-	nop.b 999 ;;
+(p10) ldfe FR_QQ_4 = [GR_ad_qq], 16             // Load QQ_4 if i_1=1
+(p10) fma.s1 FR_poly = FR_rsq, FR_poly, FR_QQ_6 // poly = rsq*poly+QQ_6 if i_1=1
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p10)	fma.s1 FR_corr = FR_S_1, FR_r_cubed, FR_r
-	nop.i 999
+      nop.m 999
+(p9)  fma.s1 FR_corr = FR_C_1, FR_rsq, f0       // corr = C_1 * rsq if i_1=0
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-(p10)	fma.s1 FR_poly = FR_rsq, FR_poly, FR_QQ_6
-	nop.i 999 ;;
+      nop.m 999
+(p10) fma.s1 FR_corr = FR_S_1, FR_r_cubed, FR_r // corr = S_1 * r^3 + r if i_1=1
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-//
-//      if (i_1=0) U_lo = r_hi * r_hi
-//      else       U_lo = r_hi + r
-//
-(p9)	fma.s1 FR_corr = FR_C_1, FR_rsq, f0
-	nop.i 999 ;;
+(p9)  ldfe FR_PP_3 = [GR_ad_pp], 16             // Load PP_3 if i_1=0
+      fma.s1 FR_r_hi_sq = FR_r_hi, FR_r_hi, f0  // r_hi_sq = r_hi * r_hi
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-//
-//      if (i_1=0) corr = C_1 * rsq
-//      else       corr = S_1 * r_cubed + r
-//
-(p9)	fma.s1 FR_poly = FR_rsq, FR_poly, FR_PP_6
-	nop.i 999 ;;
+(p10) ldfe FR_QQ_3 = [GR_ad_qq], 16             // Load QQ_3 if i_1=1
+      fms.s1 FR_r_lo = FR_r, f1, FR_r_hi        // r_lo = r - r_hi
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p10)	fma.s1 FR_U_lo = FR_r_hi, f1, FR_r
-	nop.i 999
+(p9)  ldfe FR_PP_2 = [GR_ad_pp], 16             // Load PP_2 if i_1=0
+(p9)  fma.s1 FR_poly = FR_rsq, FR_poly, FR_PP_5 // poly = rsq*poly+PP_5 if i_1=0
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-//
-//      if (i_1=0) U_hi = r_hi + U_hi 
-//      else       U_hi = QQ_1 * U_hi + 1
-//
-(p9)	fma.s1 FR_U_lo = FR_r, FR_r_hi, FR_U_lo
-	nop.i 999 ;;
+(p10) ldfe FR_QQ_2 = [GR_ad_qq], 16             // Load QQ_2 if i_1=1
+(p10) fma.s1 FR_poly = FR_rsq, FR_poly, FR_QQ_5 // poly = rsq*poly+QQ_5 if i_1=1
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-//
-//      U_hi = r_hi * r_hi	
-//
-(p0)	fms.s1 FR_r_lo = FR_r, f1, FR_r_hi
-	nop.i 999
+(p9)  ldfe FR_PP_1_lo = [GR_ad_pp], 16          // Load PP_1_lo if i_1=0
+(p9)  fma.s1 FR_corr = FR_corr, FR_c, FR_c      // corr = corr * c + c if i_1=0
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-//
-//      Load PP_1, PP_6, PP_5, and C_1
-//      Load QQ_1, QQ_6, QQ_5, and S_1
-//
-(p0)	fma.s1 FR_U_hi = FR_r_hi, FR_r_hi, f0
-	nop.i 999 ;;
+      nop.m 999
+(p10) fnma.s1 FR_corr = FR_corr, FR_c, f0       // corr = -corr * c if i_1=1
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p10)	fma.s1 FR_poly = FR_rsq, FR_poly, FR_QQ_5
-	nop.i 999
+      nop.m 999
+(p9)  fma.s1 FR_U_lo = FR_r, FR_r_hi, FR_r_hi_sq // U_lo = r*r_hi+r_hi_sq, i_1=0
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-(p10)	fnma.s1	FR_corr = FR_corr, FR_c, f0
-	nop.i 999 ;;
+      nop.m 999
+(p10) fma.s1 FR_U_lo = FR_r_hi, f1, FR_r        // U_lo = r_hi + r if i_1=1
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-//
-//      if (i_1=0) U_lo = r * r_hi + U_lo 
-//      else       U_lo = r_lo * U_lo
-//
-(p9)	fma.s1 FR_corr = FR_corr, FR_c, FR_c
-	nop.i 999 ;;
+      nop.m 999
+(p9)  fma.s1 FR_U_hi = FR_r_hi, FR_r_hi_sq, f0  // U_hi = r_hi*r_hi_sq if i_1=0
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-(p9)	fma.s1 FR_poly = FR_rsq, FR_poly, FR_PP_5
-	nop.i 999
+      nop.m 999
+(p10) fma.s1 FR_U_hi = FR_QQ_1, FR_r_hi_sq, f1  // U_hi = QQ_1*r_hi_sq+1, i_1=1
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-//
-//      if (i_1 =0) U_hi = r + U_hi
-//      if (i_1 =0) U_lo = r_lo * U_lo 
-//      
-//
-(p9)	fma.s0 FR_PP_5 = FR_PP_5, FR_PP_4, f0
-	nop.i 999 ;;
+      nop.m 999
+(p9)  fma.s1 FR_poly = FR_rsq, FR_poly, FR_PP_4 // poly = poly*rsq+PP_4 if i_1=0
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-(p9)	fma.s1 FR_U_lo = FR_r, FR_r, FR_U_lo
-	nop.i 999 ;;
+      nop.m 999
+(p10) fma.s1 FR_poly = FR_rsq, FR_poly, FR_QQ_4 // poly = poly*rsq+QQ_4 if i_1=1
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p10)	fma.s1 FR_U_lo = FR_r_lo, FR_U_lo, f0
-	nop.i 999 ;;
+      nop.m 999
+(p9)  fma.s1 FR_U_lo = FR_r, FR_r, FR_U_lo      // U_lo = r * r + U_lo if i_1=0
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-//
-//      if (i_1=0) poly = poly * rsq + PP_6
-//      else       poly = poly * rsq + QQ_6 
-//
-(p9)	fma.s1 FR_U_hi = FR_r_hi, FR_U_hi, f0
-	nop.i 999
+      nop.m 999
+(p10) fma.s1 FR_U_lo = FR_r_lo, FR_U_lo, f0     // U_lo = r_lo * U_lo if i_1=1
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p10)	fma.s1 FR_poly = FR_rsq, FR_poly, FR_QQ_4
-	nop.i 999 ;;
+      nop.m 999
+(p9)  fma.s1 FR_U_hi = FR_PP_1, FR_U_hi, f0     // U_hi = PP_1 * U_hi if i_1=0
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p10)	fma.s1 FR_U_hi = FR_QQ_1, FR_U_hi, f1
-	nop.i 999
+      nop.m 999
+(p9)  fma.s1 FR_poly = FR_rsq, FR_poly, FR_PP_3 // poly = poly*rsq+PP_3 if i_1=0
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-(p10)	fma.s0 FR_QQ_5 = FR_QQ_5, FR_QQ_5, f0
-	nop.i 999 ;;
+      nop.m 999
+(p10) fma.s1 FR_poly = FR_rsq, FR_poly, FR_QQ_3 // poly = poly*rsq+QQ_3 if i_1=1
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-//
-//      if (i_1!=0) U_hi = PP_1 * U_hi  
-//      if (i_1!=0) U_lo = r * r  + U_lo  
-//      Load PP_3 or QQ_3
-//
-(p9)	fma.s1 FR_poly = FR_rsq, FR_poly, FR_PP_4
-	nop.i 999 ;;
+      nop.m 999
+(p9)  fma.s1 FR_U_lo = FR_r_lo, FR_U_lo, f0     // U_lo = r_lo * U_lo if i_1=0
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-(p9)	fma.s1 FR_U_lo = FR_r_lo, FR_U_lo, f0
-	nop.i 999 ;;
+      nop.m 999
+(p10) fma.s1 FR_U_lo = FR_QQ_1,FR_U_lo, f0      // U_lo = QQ_1 * U_lo if i_1=1
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p10)	fma.s1 FR_U_lo = FR_QQ_1,FR_U_lo, f0
-	nop.i 999 ;;
+      nop.m 999
+(p9)  fma.s1 FR_U_hi = FR_r, f1, FR_U_hi        // U_hi = r + U_hi if i_1=0
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p9)	fma.s1 FR_U_hi = FR_PP_1, FR_U_hi, f0
-	nop.i 999
+      nop.m 999
+(p9)  fma.s1 FR_poly = FR_rsq, FR_poly, FR_PP_2 // poly = poly*rsq+PP_2 if i_1=0
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-(p10)	fma.s1 FR_poly = FR_rsq, FR_poly, FR_QQ_3
-	nop.i 999 ;;
+      nop.m 999
+(p10) fma.s1 FR_poly = FR_rsq, FR_poly, FR_QQ_2 // poly = poly*rsq+QQ_2 if i_1=1
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-//
-//      Load PP_2, QQ_2
-//
-(p9)	fma.s1 FR_poly = FR_rsq, FR_poly, FR_PP_3
-	nop.i 999 ;;
+      nop.m 999
+(p9)  fma.s1 FR_U_lo = FR_PP_1, FR_U_lo, f0     // U_lo = PP_1 * U_lo if i_1=0
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-//
-//      if (i_1==0) poly = FR_rsq * poly  + PP_3
-//      else        poly = FR_rsq * poly  + QQ_3
-//      Load PP_1_lo
-//
-(p9)	fma.s1 FR_U_lo = FR_PP_1, FR_U_lo, f0
-	nop.i 999 ;;
+      nop.m 999
+(p9)  fma.s1 FR_poly = FR_rsq, FR_poly, FR_PP_1_lo // poly =poly*rsq+PP1lo i_1=0
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-//
-//      if (i_1 =0) poly = poly * rsq + pp_r4
-//      else        poly = poly * rsq + qq_r4
-//
-(p9)	fma.s1 FR_U_hi = FR_r, f1, FR_U_hi
-	nop.i 999
+      nop.m 999
+(p10) fma.s1 FR_poly = FR_rsq, FR_poly, f0      // poly = poly*rsq if i_1=1
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p10)	fma.s1 FR_poly = FR_rsq, FR_poly, FR_QQ_2
-	nop.i 999 ;;
+      nop.m 999
+      fma.s1 FR_V = FR_U_lo, f1, FR_corr        // V = U_lo + corr
+      tbit.z p11,p12 = GR_N_Inc, 1              // p11 if i_0=0, N mod 4 = 0,2
+                                                // p12 if i_0=1, N mod 4 = 1,3
 }
+;;
+
 { .mfi
-	nop.m 999
-//
-//      if (i_1==0) U_lo =  PP_1_hi * U_lo
-//      else        U_lo =  QQ_1 * U_lo
-//
-(p9)	fma.s1 FR_poly = FR_rsq, FR_poly, FR_PP_2
-	nop.i 999 ;;
+      nop.m 999
+(p9)  fma.s0 FR_inexact = FR_PP_5, FR_PP_4, f0  // Dummy op to set inexact
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-//
-//      if (i_0==0)  Result = 1
-//      else         Result = -1
-//
-(p0) 	fma.s1 FR_V = FR_U_lo, f1, FR_corr
-	nop.i 999 ;;
+      nop.m 999
+(p10) fma.s0 FR_inexact = FR_QQ_5, FR_QQ_5, f0  // Dummy op to set inexact
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p10)	fma.s1 FR_poly = FR_rsq, FR_poly, f0
-	nop.i 999 ;;
+      nop.m 999
+(p9)  fma.s1 FR_poly = FR_r_cubed, FR_poly, f0  // poly = poly*r^3 if i_1=0
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-//
-//      if (i_1==0) poly =  FR_rsq * poly + PP_2
-//      else poly =  FR_rsq * poly + QQ_2
-// 
-(p9)	fma.s1 FR_poly = FR_rsq, FR_poly, FR_PP_1_lo
-	nop.i 999 ;;
+      nop.m 999
+(p10) fma.s1 FR_poly = FR_rsq, FR_poly, f0      // poly = poly*rsq if i_1=1
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p10)	fma.s1 FR_poly = FR_rsq, FR_poly, f0
-	nop.i 999 ;;
+      nop.m 999
+(p11) fma.s1 FR_tmp_result = f0, f1, f1// tmp_result=+1.0 if i_0=0
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-//
-//      V = U_lo + corr
-//
-(p9)	fma.s1 FR_poly = FR_r_cubed, FR_poly, f0
-	nop.i 999 ;;
+      nop.m 999
+(p12) fms.s1 FR_tmp_result = f0, f1, f1// tmp_result=-1.0 if i_0=1
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-//
-//      if (i_1==0) poly = r_cube * poly
-//      else        poly = FR_rsq * poly
-//
-(p0)	fma.s1	FR_V = FR_poly, f1, FR_V
-	nop.i 999 ;;
+      nop.m 999
+      fma.s1 FR_V = FR_poly, f1, FR_V           // V = poly + V
+      nop.i 999
 }
+;;
+
+// If i_0 = 0  Result =  U_hi + V
+// If i_0 = 1  Result = -U_hi - V
 { .mfi
-	nop.m 999
-(p12)	fms.s0 FR_Input_X = FR_Input_X, FR_U_hi, FR_V
-	nop.i 999
+        nop.m 999
+(p11)        fma.s0 FR_Result = FR_tmp_result, FR_U_hi, FR_V
+        nop.i 999
 }
 { .mfb
-	nop.m 999
-//
-//      V = V + poly	
-//
-(p11)	fma.s0 FR_Input_X = FR_Input_X, FR_U_hi, FR_V
-//
-//      if (i_0==0) Result = Result * U_hi + V
-//      else        Result = Result * U_hi - V
-//
-(p0)    br.ret.sptk   b0 
-};;
-
-//
-//    	If cosine, FR_Input_X = 1
-//    	If sine, FR_Input_X = +/-Zero (Input FR_Input_X)
-//    	Results are exact, no exceptions
-//
+        nop.m 999
+(p12)        fms.s0 FR_Result = FR_tmp_result, FR_U_hi, FR_V
+        br.ret.sptk   b0                     // Exit for 2^-3 <= |r| < pi/4
+}
+;;
 
-L(SINCOSL_ZERO):
-{ .mbb
-(p0)    cmp.eq.unc p6, p7 = 0x1, GR_Sin_or_Cos
-        nop.b 999
-        nop.b 999 ;;
+SINCOSL_ZERO:
+// Here if x = 0
+{ .mfi
+      cmp.eq.unc p6, p7 = 0x1, GR_Sin_or_Cos
+      nop.f 999
+      nop.i 999
 }
+;;
+
 { .mfi
-        nop.m 999
-(p7)    fmerge.s FR_Input_X = FR_Input_X, FR_Input_X
-        nop.i 999
+      nop.m 999
+(p7)  fmerge.s FR_Result = FR_Input_X, FR_Input_X // If sin, result = input
+      nop.i 999
 }
 { .mfb
-        nop.m 999
-(p6)    fmerge.s FR_Input_X = f1, f1
-(p0)    br.ret.sptk   b0 ;;
+      nop.m 999
+(p6)  fma.s0 FR_Result = f1, f1, f0    // If cos, result=1.0
+      br.ret.sptk   b0                  // Exit for x=0
 }
-L(SINCOSL_SPECIAL):
+;;
+
+
+SINCOSL_DENORMAL:
+{ .mmb
+      getf.exp GR_signexp_x = FR_norm_x   // Get sign and exponent of x
+      nop.m 999
+      br.cond.sptk  SINCOSL_COMMON        // Return to common code
+}
+;;
+
+SINCOSL_SPECIAL:
 { .mfb
         nop.m 999
 //
@@ -2414,106 +2280,82 @@ L(SINCOSL_SPECIAL):
 //      Invalid can be raised. SNaNs
 //      become QNaNs
 //
-(p0)    fmpy.s0 FR_Input_X = FR_Input_X, f0
-(p0)    br.ret.sptk   b0 ;;
+        fmpy.s0 FR_Result = FR_Input_X, f0
+        br.ret.sptk   b0 ;;
 }
-.endp cosl#
-ASM_SIZE_DIRECTIVE(cosl#)
 
-//      Call int pi_by_2_reduce(double* x, double *y)
-//      for |arguments| >= 2**63
-//      Address to save r and c as double 
-//
-//             sp+32  -> f0
-//      r45    sp+16  -> f0
-//      r44 -> sp     -> InputX  
-//      
+GLOBAL_IEEE754_END(cosl)
+// *******************************************************************
+// *******************************************************************
+// *******************************************************************
+//
+//     Special Code to handle very large argument case.
+//     Call int __libm_pi_by_2_reduce(x,r,c) for |arguments| >= 2**63
+//     The interface is custom:
+//       On input:
+//         (Arg or x) is in f8
+//       On output:
+//         r is in f8
+//         c is in f9
+//         N is in r8
+//     Be sure to allocate at least 2 GP registers as output registers for
+//     __libm_pi_by_2_reduce.  This routine uses r49-50. These are used as
+//     scratch registers within the __libm_pi_by_2_reduce routine (for speed).
+//
+//     We know also that __libm_pi_by_2_reduce preserves f10-15, f71-127.  We
+//     use this to eliminate save/restore of key fp registers in this calling
+//     function.
+//
+// *******************************************************************
+// *******************************************************************
+// *******************************************************************
 
-.proc __libm_callout
-__libm_callout:
-L(SINCOSL_ARG_TOO_LARGE): 
+LOCAL_LIBM_ENTRY(__libm_callout)
+SINCOSL_ARG_TOO_LARGE:
 .prologue
 { .mfi
-        add   r45=-32,sp                        // Parameter: r address 
         nop.f 0
 .save   ar.pfs,GR_SAVE_PFS
         mov  GR_SAVE_PFS=ar.pfs                 // Save ar.pfs
-}
-{ .mfi
-.fframe 64
-        add sp=-64,sp                           // Create new stack
-        nop.f 0
-        mov GR_SAVE_GP=gp                       // Save gp
 };;
+
 { .mmi
-        stfe [r45] = f0,16                      // Clear Parameter r on stack
-        add  r44 = 16,sp                        // Parameter x address
+        setf.exp FR_Two_to_M3 = GR_exp_2_to_m3  // Form 2^-3
+        mov GR_SAVE_GP=gp                       // Save gp
 .save   b0, GR_SAVE_B0
         mov GR_SAVE_B0=b0                       // Save b0
 };;
+
 .body
+//
+//     Call argument reduction with x in f8
+//     Returns with N in r8, r in f8, c in f9
+//     Assumes f71-127 are preserved across the call
+//
 { .mib
-        stfe [r45] = f0,-16                     // Clear Parameter c on stack 
-        nop.i 0
-        nop.b 0
-}
-{ .mib
-        stfe [r44] = FR_Input_X                 // Store Parameter x on stack
+        setf.exp FR_Neg_Two_to_M3 = GR_exp_m2_to_m3 // Form -(2^-3)
         nop.i 0
-(p0)    br.call.sptk b0=__libm_pi_by_2_reduce# ;;
+        br.call.sptk b0=__libm_pi_by_2_reduce#
 };;
-{ .mii
-(p0)    ldfe  FR_Input_X =[r44],16
-//
-//      Get r and c off stack
-//
-(p0)    adds  GR_Table_Base1 = -16, GR_Table_Base1
-//
-//      Get r and c off stack
-//
-(p0)    add   GR_N_Inc = GR_Sin_or_Cos,r8 ;;
-}
-{ .mmb
-(p0)    ldfe  FR_r =[r45],16
-//
-//      Get X off the stack
-//      Readjust Table ptr
-//
-(p0)    ldfs FR_Two_to_M3 = [GR_Table_Base1],4
-	nop.b 999 ;;
-}
-{ .mmb
-(p0)    ldfs FR_Neg_Two_to_M3 = [GR_Table_Base1],0
-(p0)    ldfe  FR_c =[r45]
-	nop.b 999 ;;
-}
+
 { .mfi
-.restore sp
-        add   sp = 64,sp                       // Restore stack pointer
-(p0)    fcmp.lt.unc.s1	p6, p0 = FR_r, FR_Two_to_M3
+        add   GR_N_Inc = GR_Sin_or_Cos,r8
+        fcmp.lt.unc.s1        p6, p0 = FR_r, FR_Two_to_M3
         mov   b0 = GR_SAVE_B0                  // Restore return address
 };;
-{ .mib
+
+{ .mfi
         mov   gp = GR_SAVE_GP                  // Restore gp
+(p6)    fcmp.gt.unc.s1        p6, p0 = FR_r, FR_Neg_Two_to_M3
         mov   ar.pfs = GR_SAVE_PFS             // Restore ar.pfs
-        nop.b 0
 };;
-{ .mfi
-	nop.m 999
-(p6)    fcmp.gt.unc.s1	p6, p0 = FR_r, FR_Neg_Two_to_M3
-	nop.i 999 ;;
-}
-{ .mib
-	nop.m 999
-	nop.i 999
-(p6)    br.cond.spnt L(SINCOSL_SMALL_R) ;;
-}
-{ .mib
-	nop.m 999
-	nop.i 999
-(p0)    br.cond.sptk L(SINCOSL_NORMAL_R) ;;
-}
-.endp __libm_callout
-ASM_SIZE_DIRECTIVE(__libm_callout)
+
+{ .mbb
+        nop.m 999
+(p6)    br.cond.spnt SINCOSL_SMALL_R     // Branch if |r|< 2^-3 for |x| >= 2^63
+        br.cond.sptk SINCOSL_NORMAL_R    // Branch if |r|>=2^-3 for |x| >= 2^63
+};;
+
+.endp
 .type   __libm_pi_by_2_reduce#,@function
 .global __libm_pi_by_2_reduce#
diff --git a/sysdeps/ia64/fpu/s_erf.S b/sysdeps/ia64/fpu/s_erf.S
new file mode 100644
index 0000000000..8b8cc7ff83
--- /dev/null
+++ b/sysdeps/ia64/fpu/s_erf.S
@@ -0,0 +1,924 @@
+.file "erf.s"
+
+
+// Copyright (c) 2001 - 2003, Intel Corporation
+// All rights reserved.
+//
+// Contributed 2001 by the Intel Numerics Group, Intel Corporation
+//
+// Redistribution and use in source and binary forms, with or without
+// modification, are permitted provided that the following conditions are
+// met:
+//
+// * Redistributions of source code must retain the above copyright
+// notice, this list of conditions and the following disclaimer.
+//
+// * Redistributions in binary form must reproduce the above copyright
+// notice, this list of conditions and the following disclaimer in the
+// documentation and/or other materials provided with the distribution.
+//
+// * The name of Intel Corporation may not be used to endorse or promote
+// products derived from this software without specific prior written
+// permission.
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
+// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS 
+// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, 
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY 
+// OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 
+// 
+// Intel Corporation is the author of this code, and requests that all
+// problem reports or change requests be submitted to it directly at 
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
+//
+// History
+//==============================================================
+// 08/15/01 Initial version
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 02/06/03 Reordered header: .section, .global, .proc, .align
+//
+// API
+//==============================================================
+// double erf(double)
+//
+// Overview of operation
+//==============================================================
+// Background
+//
+//
+// There are 9 paths:
+// 1. x = +/-0.0
+//    Return erf(x) = +/-0.0
+//
+// 2. 0.0 < |x| < 0.5
+//    Return erf(x) = x *Pol9(x^2)
+//
+// 3. For several subranges of 0.5 <= |x| < 5.90625
+//    Return erf(x) = sign(x)*Pol19(y), 
+//    where y = (|x|-b)/a, Pol19(y) = A0 + A1*y^1 + A2*y^2 + ... + A19*y^19
+//
+//    For each subrange there is particular set of coefficients.
+//    Below is the list of subranges:
+//    3.1 0.5 <= |x| < 1.0     b = a = 0.5
+//    3.2 1.0 <= |x| < 2.0,    b = a = 1.0
+//    3.3 2.0 <= |x| < 3.25    b = a = 2.0
+//    3.4 4.0 <= |x| < 5.90625 b = 4.0, a = 2.0
+//
+// 4. 3.25 <= |x| < 4.0
+//    Return erf(x) = sign(x)*Pol14(|x| - 3.25)
+//
+// 5. 5.90625 <= |x| < +INF
+//    Return erf(x) = sign(x)*(1.0d - 2^(-63))
+//
+// 6. |x| = INF
+//    Return erf(x) = sign(x) * 1.0
+//
+// 7. x = [S,Q]NaN 
+//    Return erf(x) = QNaN
+//
+// 8. x is positive denormal
+//    Return erf(x) = A0*x - x^2,
+//    where A0 = 2.0/sqrt(Pi)
+//
+// 9. x is negative denormal
+//    Return erf(x) = A0*x + x^2,
+//    where A0 = 2.0/sqrt(Pi)
+//
+// Registers used
+//==============================================================
+// Floating Point registers used: 
+// f8, input, output
+// f32 -> f63
+
+// General registers used:  
+// r32 -> r48, r2, r3
+
+// Predicate registers used:
+// p0, p6 -> p15
+
+// p6           to filter out case when x = denormal
+// p7           to filter out case when x = [Q,S]NaN or +/-0,
+//              used also to process denormals
+// p8           to filter out case when 3.25 <= |x| < 4.0, 
+//              used also to process denormals
+// p9           to filter out case when |x| = inf
+// p10          to filter out case when |x| < 0.5
+// p11          set when |x| < 3.25 or |x| > 4.0
+// p12          to filter out case when |x| >= 5.90625
+// p13          set if 4.0 <=|x| < 5.90625
+// p14          set to 1 for positive x
+// p15          set to 1 for negative x
+
+// Assembly macros
+//==============================================================
+rDataPtr           = r2
+rDataPtr1          = r3
+
+rBias              = r33
+rCoeffAddr3        = r34
+rThreeAndQ         = r35
+rCoeffAddr2        = r36
+rMask              = r37
+rArg               = r38
+rSignBit           = r39
+rAbsArg            = r40
+rSaturation        = r41
+rIndex             = r42
+rCoeffAddr1        = r43
+rCoeffAddr4        = r44
+rShiftedArg        = r45
+rShiftedArgMasked  = r46
+rBiasedExpOf4      = r47
+rShiftedAbsArg     = r48
+
+//==============================================================
+fA0                = f32
+fA1                = f33
+fA2                = f34
+fA3                = f35
+fA4                = f36
+fA5                = f37
+fA6                = f38
+fA7                = f39
+fA8                = f40
+fA9                = f41
+fA10               = f42
+fA11               = f43
+fA12               = f44
+fA13               = f45
+fA14               = f46
+fA15               = f47
+fA16               = f48
+fA17               = f49
+fA18               = f50
+fA19               = f51
+fArgSqr            = f52
+fArgAbsNorm        = f53
+fSignumX           = f54
+fRes               = f55
+fThreeAndQ         = f56
+fArgAbs            = f57
+fTSqr              = f58
+fTQuadr            = f59
+fTDeg3             = f60
+fTDeg7             = f61
+fArgAbsNormSgn     = f62                          
+fTQuadrSgn         = f63
+
+// Data tables
+//==============================================================
+RODATA
+
+.align 64
+
+LOCAL_OBJECT_START(erf_data)
+// Coefficients ##0..15
+// Polynomial coefficients for the erf(x), 0.5 <= |x| < 1.0 
+data8 0xB69AC40646D1F6C1, 0x00003FD2 //A19
+data8 0x90AD48C0118FA10C, 0x00003FD7 //A18
+data8 0x826FBAD055EA4AB8, 0x0000BFDB //A17
+data8 0x8DAB171246CC2B89, 0x00003FDC //A16
+data8 0xC0B1D6662F8A7564, 0x00003FDF //A15
+data8 0xA46374AC35099BAF, 0x0000BFE1 //A14
+data8 0xB2F230996346EF27, 0x0000BFE4 //A13
+data8 0xCDEC50950FACE04A, 0x00003FE6 //A12
+data8 0x826014649396E9D2, 0x00003FE9 //A11
+data8 0xCDB787DC718B13F9, 0x0000BFEB //A10
+data8 0x8E0B23C24EE0C8EE, 0x0000BFED //A9
+data8 0xA49EA40A4E5A3F76, 0x00003FF0 //A8
+data8 0xB11E30BE912617D3, 0x00003FF0 //A7
+data8 0xCCF89D9351CE26E3, 0x0000BFF4 //A6
+data8 0xEFF75AD1F0F22809, 0x00003FF2 //A5
+data8 0xBB793EF404C09A22, 0x00003FF8 //A4
+// Polynomial coefficients for the erf(x), 1.0 <= |x| < 2.0 
+data8 0xBAE93FF4174EA59B, 0x00003FE6 //A19
+data8 0x8A0FD46092F95D44, 0x0000BFEA //A18
+data8 0xA37B3242B7809E12, 0x00003FEC //A17
+data8 0xA0330A5CD2E91689, 0x0000BFED //A16
+data8 0x8E34A678F3497D17, 0x0000BFEC //A15
+data8 0xAC185D45A2772384, 0x00003FEF //A14
+data8 0xB0C11347CE7EEDE8, 0x00003FEF //A13
+data8 0xD3330DC14EA0E4EB, 0x0000BFF2 //A12
+data8 0xB4A6DFDE578A428F, 0x00003FF1 //A11
+data8 0xA0B4034310D2D9CB, 0x00003FF5 //A10
+data8 0xF71662D3132B7759, 0x0000BFF5 //A9
+data8 0x9C88BF157695E9EC, 0x0000BFF7 //A8
+data8 0xF84B80EFCA43895D, 0x00003FF8 //A7
+data8 0x9722D22DA628A17B, 0x00003FF7 //A6
+data8 0x8DB0A586F8F3381F, 0x0000BFFB //A5
+data8 0x8DB0A5879F87E5BE, 0x00003FFB //A4
+// Polynomial coefficients for the erf(x), 2.0 <= |x| < 3.25 
+data8 0x9C4AF1F3A4B21AFC, 0x00003FF6 //A19
+data8 0x8D40D5D5DB741AB8, 0x0000BFF9 //A18
+data8 0xDEBE7099E0A75BA4, 0x00003FFA //A17
+data8 0xB99A33294D32429D, 0x0000BFFB //A16
+data8 0x8109D9C7197BC7C9, 0x00003FFB //A15
+data8 0xC30DE8E2EFC2D760, 0x00003FFA //A14
+data8 0x80DDA28C5B35DC73, 0x0000BFFC //A13
+data8 0x9BE4DE5095BACE0D, 0x00003FF9 //A12
+data8 0xDA4092509EE7D111, 0x00003FFC //A11
+data8 0x89D98C561B0C9040, 0x0000BFFD //A10
+data8 0xD20B26EB2F0881D4, 0x0000BFF9 //A9
+data8 0xD089C56948731561, 0x00003FFD //A8
+data8 0xDD704DEFFB21B7E7, 0x0000BFFD //A7
+data8 0xF0C9A6BBDE469115, 0x00003FF9 //A6
+data8 0xD673A02CB5766633, 0x00003FFD //A5
+data8 0x8D162CBAD8A12649, 0x0000BFFE //A4
+// Polynomial coefficients for the erf(x), 4.0 <= |x| < 6.0  
+data8 0xD4428B75C6FE8FD1, 0x0000BFFC //A19
+data8 0xF76BE1935675D5C8, 0x00003FFE //A18
+data8 0xFD6BB3B14AA7A8E6, 0x0000BFFF //A17
+data8 0x8BE8F573D348DDA4, 0x00004000 //A16
+data8 0x81E91923A1030502, 0x0000BFFF //A15
+data8 0xCE7FE87B26CFD286, 0x0000BFFE //A14
+data8 0x84EF6B4E17404384, 0x00004000 //A13
+data8 0x91FEF33015404991, 0x0000C000 //A12
+data8 0xDEDF6A9370747E56, 0x00003FFF //A11
+data8 0x8397E6FF56CDFD9D, 0x0000BFFF //A10
+data8 0xFAD1CE912473937B, 0x00003FFD //A9
+data8 0xC48C1EA8AAA624EA, 0x0000BFFC //A8
+data8 0xFECAF0097ACF981B, 0x00003FFA //A7
+data8 0x8829A394065E4B95, 0x0000BFF9 //A6
+data8 0xED3003E477A53EE7, 0x00003FF6 //A5
+data8 0xA4C07E9BB3FCB0F3, 0x0000BFF4 //A4
+//
+// Coefficients ##16..19
+// Polynomial coefficients for the erf(x), 0.5 <= |x| < 1.0 
+data8 0x95FA98C337005D13, 0x0000BFF9 //A3
+data8 0xE0F7E524D2808A97, 0x0000BFFB //A2
+data8 0xE0F7E524D2808A98, 0x00003FFD //A1
+data8 0x853F7AE0C76E915F, 0x00003FFE //A0
+// Polynomial coefficients for the erf(x), 1.0 <= |x| < 2.0 
+data8 0x8DB0A587A96ABCF0, 0x00003FFC //A3
+data8 0xD488F84B7DE18DA8, 0x0000BFFD //A2
+data8 0xD488F84B7DE12E9C, 0x00003FFD //A1
+data8 0xD7BB3D3A08445636, 0x00003FFE //A0
+// Polynomial coefficients for the erf(x), 2.0 <= |x| < 3.25
+data8 0xC58571D23D5C4B3A, 0x00003FFD //A3
+data8 0xA94DCF467CD6AFF3, 0x0000BFFC //A2
+data8 0xA94DCF467CD10A16, 0x00003FFA //A1
+data8 0xFECD70A13CAF1997, 0x00003FFE //A0 
+// Polynomial coefficients for the erf(x), 4.0 <= |x| < 6.0 
+data8 0xB01D2B4F0D5AB8B0, 0x00003FF1 //A3
+data8 0x8858A465CE594BD1, 0x0000BFEE //A2
+data8 0x8858A447456DE61D, 0x00003FEA //A1
+data8 0xFFFFFFBDC88BB107, 0x00003FFE //A0
+// Polynomial coefficients for the erf(x), 0.0 <= |x| < 0.5 
+data8 0xBE839EDBB36C7FCE //A9
+data8 0x3EBB7745A18DD242 //A8
+data8 0xBF4C02DB238F2AFC //A5
+data8 0x3F7565BCD0A9A3EA //A4
+data8 0xC093A3581BCF3333, 0x0000BFFD //A1
+data8 0xBEEF4BB82AD8AE22 //A7
+data8 0x3F1F9A2A57A218CD //A6
+data8 0xBF9B82CE3127F4E4 //A3
+data8 0x3FBCE2F21A042B25 //A2
+data8 0x906EBA8214DB688D, 0x00003FFF //A0
+// 1.0 - 2^(-63)
+data8 0xFFFFFFFFFFFFFFFF, 0x00003FFE 
+// Polynomial coefficients for the erf(x), 3.25 <= |x| < 4.0 
+data8 0x95E91576C7A12250, 0x00003FE7 //A14
+data8 0x8E5E0D0E1F5D3CB5, 0x0000BFEA //A13
+data8 0xED761DAFAF814DE9, 0x00003FEB //A12
+data8 0xB3A77D921D0ACFC7, 0x0000BFEC //A11
+data8 0xA662D27096B08D7C, 0x0000BFEC //A10
+data8 0xDA0F410AE6233EA5, 0x00003FEF //A9
+data8 0xAB4A8B16B3124327, 0x0000BFF1 //A8
+data8 0xB241E236A5EDCED3, 0x00003FF2 //A7
+data8 0x8A2A65BA1F551F77, 0x0000BFF3 //A6
+data8 0xA4852D0B1D87000A, 0x00003FF3 //A5
+data8 0x963EB00039489476, 0x0000BFF3 //A4
+data8 0xCD5244FF4F7313A5, 0x00003FF2 //A3
+data8 0xC6F1E695363BCB26, 0x0000BFF1 //A2
+data8 0xF4DAF4680DA54C02, 0x00003FEF //A1
+data8 0xFFFFB7CFB3F2ABBE, 0x00003FFE //A0
+// A = 2.0/sqrt(Pi)
+data8 0x906EBA8214DB688D, 0x00003FFF 
+LOCAL_OBJECT_END(erf_data)
+
+
+.section .text
+GLOBAL_LIBM_ENTRY(erf)
+
+{ .mfi
+      alloc          r32 = ar.pfs, 0, 17, 0, 0
+      fmerge.se      fArgAbsNorm = f1, f8         // normalized x
+      adds           rSignBit = 0x1, r0
+}
+{ .mfi
+      addl           rDataPtr = @ltoff(erf_data), gp
+      fma.s1         fArgSqr = f8, f8, f0         // x^2
+      addl           rThreeAndQ = 0x400A0, r0     // shifted bits of 3.25
+}
+;;
+{ .mfi
+      getf.d         rArg = f8                    // x in GR 
+      fclass.m       p6,p0 = f8, 0x0b             // is x denormal ?
+      shl            rThreeAndQ = rThreeAndQ, 44  // bits of 3.25
+}
+{ .mfi
+      ld8            rDataPtr = [rDataPtr]
+      nop.f          0
+      addl           rBiasedExpOf4 = 0x40100, r0  // shifted bits of 4.0
+}
+;;
+{ .mfi
+      addl           rSaturation = 0x4017A, r0    // shifted bits of 5.90625
+      fclass.m       p7,p0 = f8, 0xc7             // is x [S,Q]NaN or +/-0 ?
+      shl            rSignBit = rSignBit, 63      // mask for sign bit
+}
+{ .mfi
+      addl           rMask = 0x7FF00, r0          // Mask for index bits
+      nop.f          0
+      addl           rBias = 0x3FE00, r0          // bias of 0.5 << 8
+}
+;;
+{ .mfi
+      setf.d         fThreeAndQ = rThreeAndQ      // 3.25 if FP register
+      fclass.m       p9,p0 = f8, 0x23             // is x +/- inf?
+      shr.u          rShiftedArg = rArg, 44
+}
+{ .mfb
+      andcm          rAbsArg = rArg, rSignBit     // |x| in GR
+      nop.f          0
+(p6)  br.cond.spnt   erf_denormal                 // branch out if x is denormal
+}
+;;   
+{ .mfi
+      and            rShiftedArgMasked = rShiftedArg, rMask // bias of x << 8
+      fmerge.s       fArgAbs = f1, f8             // |x|
+      shr            rShiftedAbsArg = rAbsArg, 44
+}
+{ .mfb
+      cmp.lt         p8, p11 = rThreeAndQ, rAbsArg // p8 = 1 if |x| >= 3.25
+(p7)  fma.d.s0       f8 = f8,f1,f8                // NaN or +/-0
+(p7)  br.ret.spnt    b0                           // exit for x = NaN or +/-0
+}
+;;              
+{ .mfi
+      sub            rIndex = rShiftedArgMasked, rBias // index << 8
+      nop.f          0 
+      cmp.lt         p10, p0 = rShiftedArgMasked, rBias // p10 = 1 if |x| < 0.5 
+}
+{ .mfb
+      // p8 = 1 if 3.25 <= |x| < 4.0 
+(p8)  cmp.lt         p8, p11 = rShiftedAbsArg, rBiasedExpOf4 
+      fms.s1         fArgAbsNorm = fArgAbsNorm, f1, f1
+(p10) br.cond.spnt   erf_near_zero // branch out if |x| < 0.5
+}
+;;
+.pred.rel "mutex", p8, p11
+{ .mfi
+(p8)  adds           rCoeffAddr1 = 1392, rDataPtr // coeff. for 3.25 <=|x|<4.0
+(p9)  fmerge.s       f8 = f8,f1                   // +/- inf
+      nop.i          0
+}
+{ .mfb
+(p11) add            rCoeffAddr1 = rDataPtr, rIndex// coeff. ##0,2,..14
+      nop.f          0
+(p9)  br.ret.spnt    b0                            // exit for x = +/- inf
+}
+;;
+{ .mfi
+      adds           rCoeffAddr2 = 16, rCoeffAddr1 
+      fmerge.s       fSignumX = f8, f1            // signum(x)
+      nop.i          0
+} 
+{ .mfb
+      cmp.lt         p12, p0 = rSaturation, rShiftedAbsArg // |x| > 5.90625?
+      nop.f          0
+(p12) br.cond.spnt   erf_saturation               // branch out if x |x| >= 6.0
+}
+;;
+// Here if paths #3,4
+// if path #4 we'll branch out after loading of 14 necessary coefficients
+{.mfi
+      ldfe           fA19 = [rCoeffAddr1], 32
+      nop.f          0
+      nop.i          0
+}
+{.mfi
+      ldfe           fA18 = [rCoeffAddr2], 32
+      nop.f          0
+      adds           rCoeffAddr3 = 1024, rDataPtr
+}
+;;
+{.mfi
+      ldfe           fA17 = [rCoeffAddr1], 32
+      nop.f          0
+      nop.i          0
+}
+{.mfi
+      ldfe           fA16 = [rCoeffAddr2], 32
+      nop.f          0
+      nop.i          0
+}
+;;
+{.mfi
+      ldfe           fA15 = [rCoeffAddr1], 32
+      fma.s1         fTSqr = fArgAbsNorm, fArgAbsNorm, f0
+      shr.u          rIndex = rIndex, 2
+}
+{.mfi
+      ldfe           fA14 = [rCoeffAddr2], 32
+      nop.f          0
+      adds           rCoeffAddr4 = 16, r0
+}
+;;
+{.mfi
+      ldfe           fA13 = [rCoeffAddr1], 32
+      nop.f          0
+      // address of coefficients ##16..23
+      add            rCoeffAddr3 = rCoeffAddr3, rIndex 
+}
+{.mfi
+      ldfe           fA12 = [rCoeffAddr2], 32
+      nop.f          0
+      cmp.lt         p15, p14 = rArg, r0
+}
+;;
+{.mfi
+      ldfe           fA11 = [rCoeffAddr1], 32
+      nop.f          0
+      add            rCoeffAddr4 = rCoeffAddr3, rCoeffAddr4
+}
+{.mfi
+      ldfe           fA10 = [rCoeffAddr2], 32
+      nop.f          0
+      nop.i          0
+}
+;;
+{.mfi
+      ldfe           fA9 = [rCoeffAddr1], 32
+      nop.f          0
+      nop.i          0
+}
+{.mfi
+      ldfe           fA8 = [rCoeffAddr2], 32
+      nop.f          0
+      nop.i          0
+}
+;;
+{.mfi
+      ldfe           fA7 = [rCoeffAddr1], 32
+      fms.s1         fArgAbs = fArgAbs, f1, fThreeAndQ
+      nop.i          0
+}
+{.mfb
+      ldfe           fA6 = [rCoeffAddr2], 32
+      nop.f          0
+(p8)  br.cond.spnt   erf_3q_4 // branch out if  3.25 < |x| < 4.0
+}                                    
+;;
+{.mfi
+      ldfe           fA5 = [rCoeffAddr1], 32
+      fma.s1         fTDeg3 = fArgAbsNorm, fTSqr, f0
+      nop.i          0
+}
+{.mfi
+      ldfe           fA4 = [rCoeffAddr2], 32
+      fma.s1         fTQuadr = fTSqr, fTSqr, f0
+      nop.i          0
+}
+;;
+// Path #3 Polynomial Pol19(y) computation; y = fArgAbsNorm
+{.mfi
+      ldfe           fA3 = [rCoeffAddr3], 32
+      fma.s1         fArgAbsNormSgn = fArgAbsNorm, fSignumX, f0
+      nop.i          0
+}
+{.mfi
+      ldfe           fA2 = [rCoeffAddr4], 32
+      nop.f          0
+      nop.i          0
+}
+;;
+{.mfi
+      ldfe           fA1 = [rCoeffAddr3], 32
+      fma.s1         fRes = fA19, fArgAbsNorm, fA18
+      nop.i          0
+}
+{.mfi
+      ldfe           fA0 = [rCoeffAddr4], 32
+      nop.f          0
+      nop.i          0
+}
+;;
+{ .mfi
+      nop.m          0
+      fma.s1         fA17 = fA17, fArgAbsNorm, fA16
+      nop.i          0
+}
+;;
+{ .mfi
+      nop.m          0
+      fma.s1         fA15 = fA15, fArgAbsNorm, fA14
+      nop.i          0
+}
+;;
+{ .mfi
+      nop.m          0
+      fma.s1         fTDeg7 = fTDeg3, fTQuadr, f0
+      nop.i          0
+}
+{ .mfi
+      nop.m          0
+      fma.s1         fA13 = fA13, fArgAbsNorm, fA12
+      nop.i          0
+}
+;;
+{ .mfi
+      nop.m          0
+      fma.s1         fA11 = fA11, fArgAbsNorm, fA10
+      nop.i          0
+}
+;;
+{ .mfi
+      nop.m          0
+      fma.s1         fA9 = fA9, fArgAbsNorm, fA8
+      nop.i          0
+}
+;;
+{ .mfi
+      nop.m          0
+      fma.s1         fRes = fRes, fTSqr, fA17
+      nop.i          0
+}
+{ .mfi
+      nop.m          0
+      fma.s1         fA7 = fA7, fArgAbsNorm, fA6
+      nop.i          0
+}
+;;
+{ .mfi
+      nop.m          0
+      fma.s1         fA5 = fA5, fArgAbsNorm, f0
+      nop.i          0
+}
+;;
+{ .mfi
+      nop.m          0
+      fma.s1         fA15 = fA15, fTSqr, fA13  
+      nop.i          0
+}
+{ .mfi
+      nop.m          0
+      fma.s1         fA4 = fA4, fArgAbsNorm, fA3
+      nop.i          0
+}
+;;
+{ .mfi
+      nop.m          0
+      fma.s1         fA2 = fA2, fArgAbsNorm, fA1
+      nop.i          0
+}
+;;
+{ .mfi
+      nop.m          0
+      fma.s1         fA11 = fA11, fTSqr, fA9
+      nop.i          0
+}
+;;
+{ .mfi
+      nop.m          0                                       
+      fma.s1         fA7 = fA7, fTSqr, fA5
+      nop.i          0
+}
+;;
+{ .mfi
+      nop.m          0                                       
+      fma.s1         fRes = fRes, fTQuadr, fA15
+      nop.i          0
+}
+;;
+{ .mfi
+      nop.m          0                                       
+      fma.s1         fA4 = fA4, fTSqr, fA2
+      nop.i          0
+}
+;;
+{ .mfi
+      nop.m          0
+      fma.s1         fRes = fRes, fTQuadr, fA11
+      nop.i          0
+}
+;;
+{ .mfi
+      nop.m          0                                       
+      fma.s1         fA4 = fA7, fTDeg3, fA4
+      nop.i          0
+}
+;;
+{ .mfi
+      nop.m          0
+      fma.s1         fRes = fRes,  fTDeg7, fA4
+      nop.i          0
+}
+;;
+{ .mfi
+      nop.m          0
+      // result for negative argument
+(p15) fms.d.s0       f8 = fRes, fArgAbsNormSgn, fA0
+      nop.i          0
+}
+{ .mfb
+      nop.m          0
+      // result for positive argument
+(p14) fma.d.s0       f8 = fRes, fArgAbsNormSgn, fA0
+      br.ret.sptk    b0
+}
+
+// Here if  3.25 < |x| < 4.0
+.align 32
+erf_3q_4:                                   
+.pred.rel "mutex", p14, p15
+{ .mfi
+      ldfe           fA5 = [rCoeffAddr1], 32
+      fma.s1         fTSqr = fArgAbs, fArgAbs, f0
+      nop.i          0
+}
+{ .mfi
+      nop.m          0
+      fma.s1         fRes = fA19, fArgAbs, fA18
+      nop.i          0
+}
+;;
+{ .mfi
+      nop.m          0
+      fma.s1         fA17 = fA17, fArgAbs, fA16
+      nop.i          0
+}
+{ .mfi
+      nop.m          0
+      fma.s1         fA15 = fA15, fArgAbs, fA14
+      nop.i          0
+}
+;;      
+{ .mfi
+      nop.m          0
+      fma.s1         fA13 = fA13, fArgAbs, fA12
+      nop.i          0
+}
+{ .mfi
+      nop.m          0
+      fma.s1         fA11 = fA11, fArgAbs, fA10
+      nop.i          0
+}
+;;     
+{ .mfi
+      nop.m          0
+      fma.s1         fA9 = fA9, fArgAbs, fA8
+      nop.i          0
+}
+{ .mfi
+      nop.m          0
+      fma.s1         fArgAbsNormSgn = fArgAbs, fSignumX, f0
+      nop.i          0
+}
+;;     
+{ .mfi
+      nop.m          0
+      fma.s1         fTQuadr = fTSqr, fTSqr, f0
+      nop.i          0
+}
+;;
+{ .mfi
+      nop.m          0
+      fma.s1         fRes = fRes, fTSqr, fA17
+      nop.i          0
+}
+;;  
+{ .mfi
+      nop.m          0
+      fma.s1         fA15 = fA15, fTSqr, fA13
+      nop.i          0
+}
+;;  
+{ .mfi
+      nop.m          0
+      fma.s1         fA11 = fA11, fTSqr, fA9
+      nop.i          0
+}  
+{ .mfi
+      nop.m          0
+      fma.s1         fA7 = fA7, fArgAbs, fA6
+      nop.i          0
+}
+;; 
+{ .mfi
+      nop.m          0
+      fma.s1         fTDeg7 = fTQuadr, fTSqr, f0
+      nop.i          0
+}
+{ .mfi
+      nop.m          0
+      fma.s1         fRes = fRes, fTQuadr, fA15
+      nop.i          0
+}
+;; 
+{ .mfi
+      nop.m          0
+      fma.s1         fA11 = fA11, fTSqr, fA7 
+      nop.i          0
+}
+;;
+{ .mfi
+      nop.m          0
+      fma.s1         fRes = fRes, fTDeg7, fA11
+      nop.i          0
+}
+;; 
+{ .mfi
+      nop.m          0
+      // result for negative argument
+(p15) fms.d.s0       f8 = fRes, fArgAbsNormSgn, fA5
+      nop.i          0
+}
+{ .mfb
+      nop.m          0
+      // result for positive argument
+(p14) fma.d.s0       f8 = fRes, fArgAbsNormSgn, fA5
+      br.ret.sptk    b0
+}
+;;
+
+// Here if |x| < 0.5
+.align 32
+erf_near_zero:
+{ .mfi
+      adds           rCoeffAddr1 = 1280, rDataPtr // address of A9
+      fma.s1         fTSqr = fArgSqr, fArgSqr, f0 // x^4 
+      nop.i          0
+}
+{ .mfi
+      adds           rCoeffAddr2 = 1328, rDataPtr // address of A7
+      nop.f          0
+      nop.i          0
+}
+;;
+{ .mfi
+      ldfpd          fA9, fA8 = [rCoeffAddr1], 16
+      nop.f          0
+      nop.i          0
+}
+{ .mfi
+      ldfpd          fA7, fA6 = [rCoeffAddr2], 16
+      nop.f          0
+      nop.i          0
+}
+;;
+{ .mfi
+      ldfpd          fA5, fA4 = [rCoeffAddr1], 16
+      nop.f          0
+      nop.i          0
+}
+{ .mfi
+      ldfpd          fA3, fA2 = [rCoeffAddr2], 16
+      nop.f          0
+      nop.i          0
+}
+;;
+{ .mfi
+      ldfe           fA1 = [rCoeffAddr1]
+      nop.f          0
+      nop.i          0
+}
+{ .mfi
+      ldfe           fA0 = [rCoeffAddr2]
+      nop.f          0
+      nop.i          0
+}
+;;
+{ .mfi
+      nop.m          0
+      fma.s1         fTQuadr = fTSqr, fTSqr, f0
+      nop.i          0
+}
+;;
+{ .mfi
+      nop.m          0
+      fma.s1         fRes = fA9, fArgSqr, fA8
+      nop.i          0
+}
+{ .mfi
+      nop.m          0
+      fma.s1         fA7 = fA7, fArgSqr, fA6
+      nop.i          0
+}
+;;
+{ .mfi
+      nop.m          0
+      fma.s1         fA3 = fA3, fArgSqr, fA2
+      nop.i          0
+}
+{ .mfi
+      nop.m          0
+      fma.s1         fA5 = fA5, fArgSqr, fA4
+      nop.i          0
+}
+;;
+{ .mfi
+      nop.m          0
+      fma.s1         fA1 = fA1, fArgSqr, fA0
+      nop.i          0
+}
+{ .mfi
+      nop.m          0
+      fma.s1         fTQuadrSgn = fTQuadr, f8, f0
+      nop.i          0
+}
+;;
+{ .mfi
+      nop.m          0
+      fma.s1         fRes = fRes, fTSqr, fA7
+      nop.i          0
+}
+;;
+{ .mfi
+      nop.m          0
+      fma.s1         fA1 = fA3, fTSqr, fA1
+      nop.i          0
+}
+;;
+{ .mfi
+      nop.m          0
+      fma.s1         fRes = fRes, fTSqr, fA5
+      nop.i          0
+}
+;;
+{ .mfi
+      nop.m          0
+      fma.s1         fA1 = fA1, f8, f0
+      nop.i          0
+}
+;;
+{ .mfb
+      nop.m          0
+      fma.d.s0       f8 = fRes, fTQuadrSgn, fA1 // x*Pol9(x^2)
+      br.ret.sptk    b0                              // Exit for |x| < 0.5
+};;
+
+// Here if 5.90625 <= |x| < +inf
+.align 32
+erf_saturation:
+{ .mfi
+      adds           rDataPtr = 1376, rDataPtr     // address of A0
+      nop.f          0
+      nop.i          0
+}
+;;
+{ .mfi
+      ldfe           fA0 = [rDataPtr]
+      nop.f          0
+      nop.i          0
+}
+;;
+{ .mfb
+      nop.m          0
+      fma.d.s0       f8 = fA0, fSignumX, f0       // sign(x)*(1.0 - 2^(-63))
+      // Exit for 5.90625 <= |x| < +inf
+      br.ret.sptk    b0                          // Exit for 5.90625 <=|x|< +inf
+}
+;;
+      
+// Here if x is double precision denormal
+.align 32
+erf_denormal:
+{ .mfi
+      adds           rDataPtr = 1632, rDataPtr    // address of A0
+      fclass.m       p7,p8 = f8, 0x0a             // is x -denormal ?
+      nop.i          0
+}
+;;
+{ .mfi
+      ldfe           fA0 = [rDataPtr]             // A0
+      nop.f          0
+      nop.i          0
+}
+;;
+{ .mfi
+      nop.m          0
+      fma.s1         fA0 = fA0,f8,f0              // A0*x
+      nop.i          0
+}
+;;
+{ .mfi
+      nop.m          0
+(p7)  fma.d.s0       f8 = f8,f8,fA0               // -denormal
+      nop.i          0
+}
+{ .mfb
+      nop.m          0
+(p8)  fnma.d.s0      f8 = f8,f8,fA0               // +denormal
+      br.ret.sptk    b0                           // Exit for denormal
+}
+;;
+
+GLOBAL_LIBM_END(erf)
+
diff --git a/sysdeps/ia64/fpu/s_erfc.S b/sysdeps/ia64/fpu/s_erfc.S
new file mode 100644
index 0000000000..8b223275c7
--- /dev/null
+++ b/sysdeps/ia64/fpu/s_erfc.S
@@ -0,0 +1,1197 @@
+.file "erfc.s"
+
+
+// Copyright (c) 2001 - 2003, Intel Corporation
+// All rights reserved.
+//
+// Contributed 2001 by the Intel Numerics Group, Intel Corporation
+//
+// Redistribution and use in source and binary forms, with or without
+// modification, are permitted provided that the following conditions are
+// met:
+//
+// * Redistributions of source code must retain the above copyright
+// notice, this list of conditions and the following disclaimer.
+//
+// * Redistributions in binary form must reproduce the above copyright
+// notice, this list of conditions and the following disclaimer in the
+// documentation and/or other materials provided with the distribution.
+//
+// * The name of Intel Corporation may not be used to endorse or promote
+// products derived from this software without specific prior written
+// permission.
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
+// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS 
+// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, 
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY 
+// OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 
+// 
+// Intel Corporation is the author of this code, and requests that all
+// problem reports or change requests be submitted to it directly at 
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
+//
+// History
+//==============================================================
+// 11/12/01  Initial version
+// 05/20/02  Cleaned up namespace and sf0 syntax
+// 02/06/03  Reordered header: .section, .global, .proc, .align
+//
+// API
+//==============================================================
+// double erfc(double)
+//
+// Overview of operation
+//==============================================================
+// 1. 0 <= x <= 28.0
+//    
+//    erfc(x)  = P14(z) * exp( -x^2 ), z = x - x(i).
+//
+//    Comment:
+//
+//    Let x(i) = -1.0 + 2^(i/4),i=0,...19. So we have 20 unequal
+//    argument intervals [x(i),x(i+1)] with length ratio q = 2^(1/4).
+//    Values x(i) we have in the table erfc_xb_table.
+// 
+//    Let x(i)<= x < x(i+1).
+//    We can find i as exponent of number (x + 1)^4.
+// 
+//    Let P14(z) - polynomial approximation of degree 14 for function
+//    erfc(z+x(i)) * exp( (z+x(i))^2) and 0 <= z <= x(i+1)-x(i).
+//    Polynomial coeffitients we have in the table erfc_p_table.
+//
+//    So we can find result for erfc(x) as above.
+//    Algorithm description for exp function see below.   
+//                     
+// 2. -6 <= x < 0
+//
+//      erfc(x)  = 2.0 - erfc(-x)
+//
+// 3. x > 28.0
+//    erfc(x)  ~=~ 0.0                      
+//
+// 4. x < -6.0            
+//    erfc(x)  ~=~ 2.0                      
+
+// Special values 
+//==============================================================
+// erfc(+0)    = 1.0
+// erfc(-0)    = 1.0
+
+// erfc(+qnan) = +qnan 
+// erfc(-qnan) = -qnan 
+// erfc(+snan) = +qnan 
+// erfc(-snan) = -qnan 
+
+// erfc(-inf)  = 2.0 
+// erfc(+inf)  = +0
+
+//==============================================================
+// Take double exp(double) from libm_64.
+//
+// Overview of operation
+//==============================================================
+// Take the input x. w is "how many log2/128 in x?"
+//  w = x * 128/log2
+//  n = int(w)
+//  x = n log2/128 + r + delta
+
+//  n = 128M + index_1 + 2^4 index_2
+//  x = M log2 + (log2/128) index_1 + (log2/8) index_2 + r + delta
+
+//  exp(x) = 2^M  2^(index_1/128)  2^(index_2/8) exp(r) exp(delta)
+//       Construct 2^M
+//       Get 2^(index_1/128) from table_1;
+//       Get 2^(index_2/8)   from table_2;
+//       Calculate exp(r) by series
+//          r = x - n (log2/128)_high
+//          delta = - n (log2/128)_low
+//       Calculate exp(delta) as 1 + delta
+//==============================================================
+//  Comment for exp for erfc:
+//
+//  We use quad precision for calculate input argument -x^2 and add
+//  result low bits to value delta in exp.  
+
+// Registers used
+//==============================================================
+// Floating Point registers used: 
+// f8, input
+// f9 -> f15,  f32 -> f93
+
+// General registers used: 
+// r32 -> r68 
+
+// Predicate registers used:
+// p6 -> p15
+
+// Assembly macros
+//==============================================================
+
+exp_GR_rshf            = r33
+EXP_AD_TB1             = r34
+EXP_AD_TB2             = r35
+EXP_AD_P               = r36
+exp_GR_N               = r37
+exp_GR_index_1         = r38
+exp_GR_index_2_16      = r39
+exp_GR_biased_M        = r40
+EXP_AD_T1              = r41
+EXP_AD_T2              = r42
+exp_GR_sig_inv_ln2     = r43
+exp_GR_17ones          = r44
+exp_TB1_size           = r45
+exp_TB2_size           = r46
+exp_GR_rshf_2to56      = r47
+exp_GR_exp_2tom56      = r48
+
+// GR for erfc(x)
+//==============================================================
+GR_POS_ARG_ASYMP       = r49
+GR_NEG_ARG_ASYMP       = r50
+GR_ARG_ASYMP           = r51
+GR_ERFC_XB_TB          = r52
+GR_ERFC_P_TB           = r53
+GR_IndxPlusBias        = r54
+GR_BIAS                = r55
+GR_P_A12               = r56
+GR_P_A13               = r57
+GR_AbsArg              = r58
+GR_ShftXBi             = r59
+GR_ShftPi              = r60
+GR_mBIAS               = r61
+GR_ShftPi_bias         = r62
+GR_ShftXBi_bias        = r63
+GR_ShftA12             = r64
+GR_ShftA13             = r65
+GR_EpsNorm             = r66
+GR_0x1                 = r67
+GR_ShftPi_8            = r68
+
+// GR for __libm_support call
+
+//==============================================================
+
+GR_SAVE_B0             = r61
+GR_SAVE_PFS            = r62
+GR_SAVE_GP             = r63
+GR_SAVE_SP             = r64
+
+GR_Parameter_X         = r65
+GR_Parameter_Y         = r66
+GR_Parameter_RESULT    = r67
+GR_Parameter_TAG       = r68
+
+
+// FR for exp(-x^2)
+//==============================================================
+FR_X                   = f10
+FR_Y                   = f1
+FR_RESULT              = f8
+
+EXP_2TOM56             = f6
+EXP_INV_LN2_2TO63      = f7
+EXP_W_2TO56_RSH        = f9
+EXP_RSHF_2TO56         = f10
+
+exp_P4                 = f11 
+exp_P3                 = f12 
+exp_P2                 = f13 
+exp_P1                 = f14 
+exp_ln2_by_128_hi      = f15
+ 
+exp_ln2_by_128_lo      = f32 
+EXP_RSHF               = f33
+EXP_Nfloat             = f34 
+exp_r                  = f35
+exp_f                  = f36
+exp_rsq                = f37
+exp_rcube              = f38
+EXP_2M                 = f39
+exp_S1                 = f40
+exp_T1                 = f41
+exp_rP4pP3             = f42
+exp_P_lo               = f43
+exp_P_hi               = f44
+exp_P                  = f45
+exp_S                  = f46
+EXP_NORM_f8            = f47   
+exp_S2                 = f48
+exp_T2                 = f49
+
+// FR for erfc(x)
+//==============================================================
+FR_AbsArg              = f50
+FR_Tmp                 = f51
+FR_Xb                  = f52
+FR_A0                  = f53
+FR_A1                  = f54
+FR_A2                  = f55
+FR_A3                  = f56
+FR_A4                  = f57
+FR_A5                  = f58
+FR_A6                  = f59
+FR_A7                  = f60
+FR_A8                  = f61
+FR_A9                  = f62
+FR_A10                 = f63
+FR_A11                 = f64
+FR_A12                 = f65
+FR_A13                 = f66
+FR_A14                 = f67
+
+FR_P14_0_1             = f68
+FR_P14_0_2             = f69
+FR_P14_1_1             = f70
+FR_P14_1_2             = f71
+FR_P14_2_1             = f72
+FR_P14_2_2             = f73
+FR_P14_3_1             = f74
+FR_P14_3_2             = f75
+FR_P14_6_1             = f76
+
+FR_P14_7_1             = f77
+FR_P14_7_2             = f78
+FR_P14_8_1             = f79
+FR_P14_8_2             = f80
+FR_P14_12_1            = f81
+FR_P14_13_1            = f82
+FR_P14_13_2            = f83
+FR_Pol                 = f84
+FR_Exp                 = f85
+FR_2                   = f86
+f8_sq_lo               = f87
+FR_LocArg              = f88
+FR_Tmpf                = f89
+FR_Tmp1                = f90
+FR_EpsNorm             = f91
+FR_UnfBound            = f92
+FR_NormX               = f93
+
+
+// Data tables
+//==============================================================
+RODATA
+.align 16
+
+// ************* DO NOT CHANGE ORDER OF THESE TABLES ********************
+
+LOCAL_OBJECT_START(exp_table_1)
+
+data8 0x403a8b12fc6e4892 , 0          // underflow boundary
+data8 0xb17217f7d1cf79ab , 0x00003ff7 // ln2/128 hi
+data8 0xc9e3b39803f2f6af , 0x00003fb7 // ln2/128 lo
+//
+// Table 1 is 2^(index_1/128) where
+// index_1 goes from 0 to 15
+//
+data8 0x8000000000000000 , 0x00003FFF
+data8 0x80B1ED4FD999AB6C , 0x00003FFF
+data8 0x8164D1F3BC030773 , 0x00003FFF
+data8 0x8218AF4373FC25EC , 0x00003FFF
+data8 0x82CD8698AC2BA1D7 , 0x00003FFF
+data8 0x8383594EEFB6EE37 , 0x00003FFF
+data8 0x843A28C3ACDE4046 , 0x00003FFF
+data8 0x84F1F656379C1A29 , 0x00003FFF
+data8 0x85AAC367CC487B15 , 0x00003FFF
+data8 0x8664915B923FBA04 , 0x00003FFF
+data8 0x871F61969E8D1010 , 0x00003FFF
+data8 0x87DB357FF698D792 , 0x00003FFF
+data8 0x88980E8092DA8527 , 0x00003FFF
+data8 0x8955EE03618E5FDD , 0x00003FFF
+data8 0x8A14D575496EFD9A , 0x00003FFF
+data8 0x8AD4C6452C728924 , 0x00003FFF
+LOCAL_OBJECT_END(exp_table_1)
+
+// Table 2 is 2^(index_1/8) where
+// index_2 goes from 0 to 7
+LOCAL_OBJECT_START(exp_table_2)
+data8 0x8000000000000000 , 0x00003FFF
+data8 0x8B95C1E3EA8BD6E7 , 0x00003FFF
+data8 0x9837F0518DB8A96F , 0x00003FFF
+data8 0xA5FED6A9B15138EA , 0x00003FFF
+data8 0xB504F333F9DE6484 , 0x00003FFF
+data8 0xC5672A115506DADD , 0x00003FFF
+data8 0xD744FCCAD69D6AF4 , 0x00003FFF
+data8 0xEAC0C6E7DD24392F , 0x00003FFF
+LOCAL_OBJECT_END(exp_table_2)
+
+LOCAL_OBJECT_START(exp_p_table)
+data8 0x3f8111116da21757 //P_4
+data8 0x3fa55555d787761c //P_3
+data8 0x3fc5555555555414 //P_2
+data8 0x3fdffffffffffd6a //P_1
+LOCAL_OBJECT_END(exp_p_table)
+
+LOCAL_OBJECT_START(erfc_xb_table)
+data8 0x0000000000000000, 0x00000000 //XB[0] = +0.00000000000000000000e-01L
+data8 0xC1BF828C6DC54B7A, 0x00003FFC //XB[1] = +1.89207115002721066717e-01L
+data8 0xD413CCCFE7799211, 0x00003FFD //XB[2] = +4.14213562373095048802e-01L
+data8 0xAE89F995AD3AD5E8, 0x00003FFE //XB[3] = +6.81792830507429086062e-01L
+data8 0x8000000000000000, 0x00003FFF //XB[4] = +1.00000000000000000000e+00L
+data8 0xB06FE0A31B7152DF, 0x00003FFF //XB[5] = +1.37841423000544213343e+00L
+data8 0xEA09E667F3BCC909, 0x00003FFF //XB[6] = +1.82842712474619009760e+00L
+data8 0x9744FCCAD69D6AF4, 0x00004000 //XB[7] = +2.36358566101485817212e+00L
+data8 0xC000000000000000, 0x00004000 //XB[8] = +3.00000000000000000000e+00L
+data8 0xF06FE0A31B7152DF, 0x00004000 //XB[9] = +3.75682846001088426687e+00L
+data8 0x9504F333F9DE6484, 0x00004001 //XB[10] = +4.65685424949238019521e+00L
+data8 0xB744FCCAD69D6AF4, 0x00004001 //XB[11] = +5.72717132202971634425e+00L
+data8 0xE000000000000000, 0x00004001 //XB[12] = +7.00000000000000000000e+00L
+data8 0x8837F0518DB8A96F, 0x00004002 //XB[13] = +8.51365692002176853374e+00L
+data8 0xA504F333F9DE6484, 0x00004002 //XB[14] = +1.03137084989847603904e+01L
+data8 0xC744FCCAD69D6AF4, 0x00004002 //XB[15] = +1.24543426440594326885e+01L
+data8 0xF000000000000000, 0x00004002 //XB[16] = +1.50000000000000000000e+01L
+data8 0x9037F0518DB8A96F, 0x00004003 //XB[17] = +1.80273138400435370675e+01L
+data8 0xAD04F333F9DE6484, 0x00004003 //XB[18] = +2.16274169979695207808e+01L
+data8 0xCF44FCCAD69D6AF4, 0x00004003 //XB[19] = +2.59086852881188653770e+01L
+LOCAL_OBJECT_END(erfc_xb_table)
+
+LOCAL_OBJECT_START(erfc_p_table)
+
+// Pol0 
+data8 0x8000000000000000, 0x00003FFF //A0 = +1.00000000000000000000e+00L
+data8 0x906EBA8214DB688D, 0x0000BFFF //A1 = -1.12837916709551257389e+00L
+data8 0xFFFFFFFFFFFFFFEB, 0x00003FFE //A2 = +9.99999999999999998841e-01L
+data8 0xC093A3581BCF2925, 0x0000BFFE //A3 = -7.52252778063674869885e-01L
+data8 0xFFFFFFFFFFF7CDBD, 0x00003FFD //A4 = +4.99999999999985440383e-01L
+data8 0x9A0FB5E014AE3EFB, 0x0000BFFD //A5 = -3.00901111224757482205e-01L
+data8 0xAAAAAAAA4672B0BD, 0x00003FFC //A6 = +1.66666666643879582201e-01L
+data8 0xB011F45C9F590FC0, 0x0000BFFB //A7 = -8.59717455640916223912e-02L
+data8 0xAAAAA89474161033, 0x00003FFA //A8 = +4.16666588928413935202e-02L
+data8 0x9C818E2CE37D4214, 0x0000BFF9 //A9 = -1.91047455656271634308e-02L
+data8 0x8885969315AB76A1, 0x00003FF8 //A10 = +8.33263115449753085659e-03L
+data8 0xE36112A686F5165B, 0x0000BFF6 //A11 = -3.46953111013788405745e-03L
+data8 0xB3DD6B2DB3307D2E, 0x00003FF5 //A12 = +1.37226041156280127011e-03L
+data8 0x8018A34267FED226, 0x0000BFF4 //A13 = -4.88648380816410282971e-04L
+data8 0xFBBA6A7AEBD3ABD9, 0x00003FF1 //A14 = +1.20033353451879025825e-04L
+// Pol1 
+data8 0xD15A1EF03BB91E71, 0x00003FFE //A0 = +8.17781385088640600540e-01L
+data8 0xD1A4ADDAC3337118, 0x0000BFFE //A1 = -8.18919053944410683867e-01L
+data8 0xA9AF9FFA2AD18CB0, 0x00003FFE //A2 = +6.62836073471060947628e-01L
+data8 0xECB77514F0F151B3, 0x0000BFFD //A3 = -4.62337168508812580002e-01L
+data8 0x934AB35EA5CD5EEB, 0x00003FFD //A4 = +2.87679295829458273854e-01L
+data8 0xA71410A68C1EF21C, 0x0000BFFC //A5 = -1.63162479558223113104e-01L
+data8 0xAF506A335238094A, 0x00003FFB //A6 = +8.56025978958108330224e-02L
+data8 0xABFDF67F968765A7, 0x0000BFFA //A7 = -4.19902447551140139048e-02L
+data8 0x9F0B0165A6CDCA99, 0x00003FF9 //A8 = +1.94144274984979538382e-02L
+data8 0x8B8197BFC346CDEA, 0x0000BFF8 //A9 = -8.51478404279186775501e-03L
+data8 0xE950D763FE51AB1E, 0x00003FF6 //A10 = +3.56011637267641495904e-03L
+data8 0xBA821A59FC05FBAD, 0x0000BFF5 //A11 = -1.42294475244146555952e-03L
+data8 0x8D535042E11A0D89, 0x00003FF4 //A12 = +5.39113782651680545599e-04L
+data8 0xBE589447DB26564E, 0x0000BFF2 //A13 = -1.81528103431449706486e-04L
+data8 0xABC8C7EF636F5B0A, 0x00003FF0 //A14 = +4.09565689009869217620e-05L
+// Pol2 
+data8 0xA9973ABB272898B2, 0x00003FFE //A0 = +6.62463827792779356910e-01L
+data8 0x945F1A7993F7AADD, 0x0000BFFE //A1 = -5.79576162988785154930e-01L
+data8 0xD84439C6609A8A62, 0x00003FFD //A2 = +4.22395520654665085222e-01L
+data8 0x8A1BBAA7E9CB8C52, 0x0000BFFD //A3 = -2.69742806431984313298e-01L
+data8 0x9F0F67364B466975, 0x00003FFC //A4 = +1.55332195938916594663e-01L
+data8 0xA843F180287DAF7F, 0x0000BFFB //A5 = -8.21608416782158837025e-02L
+data8 0xA59D71B7C690E545, 0x00003FFA //A6 = +4.04333536247671644540e-02L
+data8 0x991A733518C74874, 0x0000BFF9 //A7 = -1.86893701691354422481e-02L
+data8 0x85E7F91148F9F6D2, 0x00003FF8 //A8 = +8.17298243522623724858e-03L
+data8 0xDEE0607CC9D6777E, 0x0000BFF6 //A9 = -3.40082507754089306495e-03L
+data8 0xB145D2CC470B306B, 0x00003FF5 //A10 = +1.35248373238824318949e-03L
+data8 0x86FAEBB4438A20FA, 0x0000BFF4 //A11 = -5.14908443679775343409e-04L
+data8 0xC2503856CE48A657, 0x00003FF2 //A12 = +1.85311660448280465934e-04L
+data8 0xF52642F22A26965B, 0x0000BFF0 //A13 = -5.84481856856861454591e-05L
+data8 0xC98588E1A95FFDBD, 0x00003FEE //A14 = +1.20116245684500489648e-05L
+// Pol3 
+data8 0x887CBA2C47B1E2B5, 0x00003FFE //A0 = +5.33153186617432643784e-01L
+data8 0xCD81909CF194328E, 0x0000BFFD //A1 = -4.01379126699602646289e-01L
+data8 0x84DCA15C52122372, 0x00003FFD //A2 = +2.59495775718310530164e-01L
+data8 0x993AA9C76AD28157, 0x0000BFFC //A3 = -1.49637844845261107836e-01L
+data8 0xA140CD8A96FADBA5, 0x00003FFB //A4 = +7.87368829650154013961e-02L
+data8 0x9D36B25E76E56EEA, 0x0000BFFA //A5 = -3.83822410143975630292e-02L
+data8 0x8F8BCC2C0536ECD3, 0x00003FF9 //A6 = +1.75227153523910189727e-02L
+data8 0xF77EDC644BA17AF9, 0x0000BFF7 //A7 = -7.55296479527793552675e-03L
+data8 0xCAB8AC76793C1151, 0x00003FF6 //A8 = +3.09328279988546711083e-03L
+data8 0x9E8FCBC793D555AF, 0x0000BFF5 //A9 = -1.20972979110659888616e-03L
+data8 0xEDC1328664A0CE79, 0x00003FF3 //A10 = +4.53481058502015766058e-04L
+data8 0xAAE3CAAB9D117591, 0x0000BFF2 //A11 = -1.62973223928790256249e-04L
+data8 0xE7704D06A3080C19, 0x00003FF0 //A12 = +5.51792801195012080688e-05L
+data8 0x875A5B53E510F305, 0x0000BFEF //A13 = -1.61353297293572230995e-05L
+data8 0xC8F10CDDB9CC9A42, 0x00003FEC //A14 = +2.99426321046583353559e-06L
+// Pol4 
+data8 0xDAEC3C07CAB590C1, 0x00003FFD //A0 = +4.27583576155807004411e-01L
+data8 0x8BE271F8BE0280AC, 0x0000BFFD //A1 = -2.73212014783898564863e-01L
+data8 0x9E13941E19661429, 0x00003FFC //A2 = +1.54371561371908397882e-01L
+data8 0xA241BFC48377449D, 0x0000BFFB //A3 = -7.92269689413235358504e-02L
+data8 0x99E56877AD00D1AE, 0x00003FFA //A4 = +3.75722962151600767952e-02L
+data8 0x887E78DA3BA57C80, 0x0000BFF9 //A5 = -1.66618690872055148862e-02L
+data8 0xE465CAA9F4D54FD8, 0x00003FF7 //A6 = +6.97014232347351913821e-03L
+data8 0xB57930370208D4A7, 0x0000BFF6 //A7 = -2.76906420823065422653e-03L
+data8 0x89A90B5DF0C0C55E, 0x00003FF5 //A8 = +1.05026496655247749532e-03L
+data8 0xC83DB867F08D93C6, 0x0000BFF3 //A9 = -3.81929578900287685559e-04L
+data8 0x8C0C9113FC8061FA, 0x00003FF2 //A10 = +1.33561218944256209215e-04L
+data8 0xBC17A73E9CA51313, 0x0000BFF0 //A11 = -4.48447217225392170834e-05L
+data8 0xED10FE8FC0E44CAD, 0x00003FEE //A12 = +1.41302576244352578317e-05L
+data8 0xFE49912328516F81, 0x0000BFEC //A13 = -3.78917710289305330220e-06L
+data8 0xA8F6077E25DAFD33, 0x00003FEA //A14 = +6.29428967202166402369e-07L
+// Pol5 
+data8 0xAF72220985BED710, 0x00003FFD //A0 = +3.42667640364081975844e-01L
+data8 0xBC1CB559042410AB, 0x0000BFFC //A1 = -1.83703263815036934677e-01L
+data8 0xB730BF62E0B63A3C, 0x00003FFB //A2 = +8.94484474229911741150e-02L
+data8 0xA4F307B1D1A1534E, 0x0000BFFA //A3 = -4.02708340235238993824e-02L
+data8 0x8B0327F5117861DB, 0x00003FF9 //A4 = +1.69692783752415790321e-02L
+data8 0xDD4059307B2B081C, 0x0000BFF7 //A5 = -6.75205569219747369303e-03L
+data8 0xA761D738974FECF6, 0x00003FF6 //A6 = +2.55404953403837072821e-03L
+data8 0xF208F6D704F4B487, 0x0000BFF4 //A7 = -9.23290315545127419886e-04L
+data8 0xA7F3658D34EC10B9, 0x00003FF3 //A8 = +3.20340668304962386053e-04L
+data8 0xE079C35CEFD4E6D6, 0x0000BFF1 //A9 = -1.07038324953715640850e-04L
+data8 0x90C5CDD19BB3DD2F, 0x00003FF0 //A10 = +3.45164947021915687751e-05L
+data8 0xB3911863705825F6, 0x0000BFEE //A11 = -1.07030140392753204852e-05L
+data8 0xD023CF5C3F915685, 0x00003FEC //A12 = +3.10152594473606007552e-06L
+data8 0xCA7016FADFF584F5, 0x0000BFEA //A13 = -7.54139761055503416594e-07L
+data8 0xEEBB5CC0901D2BB0, 0x00003FE7 //A14 = +1.11168196441717301549e-07L
+// Pol6 
+data8 0x8CD1160326A754AF, 0x00003FFD //A0 = +2.75032699474947383325e-01L
+data8 0xFB22A4C657119388, 0x0000BFFB //A1 = -1.22624671271190511269e-01L
+data8 0xD02B2CA872A774E9, 0x00003FFA //A2 = +5.08224243596176920409e-02L
+data8 0xA23302E146E9E406, 0x0000BFF9 //A3 = -1.97997146844646077750e-02L
+data8 0xEF8918FEDE237C98, 0x00003FF7 //A4 = +7.31004448401605074486e-03L
+data8 0xA8A8B598FA20D881, 0x0000BFF6 //A5 = -2.57353242430059589053e-03L
+data8 0xE3964D9788BFF50F, 0x00003FF4 //A6 = +8.68175969920725727944e-04L
+data8 0x93B83C10B7210AC7, 0x0000BFF3 //A7 = -2.81752903983413936245e-04L
+data8 0xB913B752B0D56A42, 0x00003FF1 //A8 = +8.82515983758695613094e-05L
+data8 0xE0623EFA0B1E8DE9, 0x0000BFEF //A9 = -2.67486302195396417310e-05L
+data8 0x83C4D1A4019E1D2E, 0x00003FEE //A10 = +7.85403393879249335151e-06L
+data8 0x950CBA5D80D8125E, 0x0000BFEC //A11 = -2.22101388436550539151e-06L
+data8 0x9CE72C0409A3E800, 0x00003FEA //A12 = +5.84509280984781223375e-07L
+data8 0x88CCD7A000D1C213, 0x0000BFE8 //A13 = -1.27405082040077425019e-07L
+data8 0x8DF4EC84F093B1C0, 0x00003FE5 //A14 = +1.65259388738830506389e-08L
+// Pol7 
+data8 0xE2BF82A153B1B82E, 0x00003FFC //A0 = +2.21433678719152843912e-01L
+data8 0xA72A9AE0BD7F29D5, 0x0000BFFB //A1 = -8.16242313227913578068e-02L
+data8 0xE98939292289EDBE, 0x00003FF9 //A2 = +2.85078159732432477516e-02L
+data8 0x9B93E5E0EEFF9516, 0x0000BFF8 //A3 = -9.49571084105114051468e-03L
+data8 0xC6B39897AABC47BC, 0x00003FF6 //A4 = +3.03194499398790451607e-03L
+data8 0xF442AC7D84DDF1E0, 0x0000BFF4 //A5 = -9.31779649708690069328e-04L
+data8 0x90FBD9F8B41DF23E, 0x00003FF3 //A6 = +2.76534642660360753287e-04L
+data8 0xA6AC59077C78B437, 0x0000BFF1 //A7 = -7.94759910003852154521e-05L
+data8 0xB9FC0BADD531E5E9, 0x00003FEF //A8 = +2.21710864553358009804e-05L
+data8 0xC9CFC8CD93648856, 0x0000BFED //A9 = -6.01445608619100503330e-06L
+data8 0xD4FA51B86A9B2494, 0x00003FEB //A10 = +1.58680833469323702924e-06L
+data8 0xD8D0ED030032926D, 0x0000BFE9 //A11 = -4.03851487695924456733e-07L
+data8 0xCCA1CA2AC3EB8973, 0x00003FE7 //A12 = +9.52891963880517988726e-08L
+data8 0x9E26A080F9DA39DE, 0x0000BFE5 //A13 = -1.84111863600343741644e-08L
+data8 0x8F3DC58F64A92C62, 0x00003FE2 //A14 = +2.08443519336792003049e-09L
+// Pol8 
+data8 0xB74C13E914E9666F, 0x00003FFC //A0 = +1.79001151181389950418e-01L
+data8 0xDEB57268A58B763B, 0x0000BFFA //A1 = -5.43722600071728705200e-02L
+data8 0x821FF0D4C605A4CD, 0x00003FF9 //A2 = +1.58843711598712515609e-02L
+data8 0x92C830DD423DB924, 0x0000BFF7 //A3 = -4.47943101836927657394e-03L
+data8 0xA04E61767A095BB6, 0x00003FF5 //A4 = +1.22303905230942532198e-03L
+data8 0xA9EF64E0F6654358, 0x0000BFF3 //A5 = -3.24125543666296226957e-04L
+data8 0xAF39C8969BD163E8, 0x00003FF1 //A6 = +8.35541329311315562274e-05L
+data8 0xB01273B34197330C, 0x0000BFEF //A7 = -2.09894273215824495783e-05L
+data8 0xACAE4C820B99EBAC, 0x00003FED //A8 = +5.14629050848703676006e-06L
+data8 0xA57BF2AEA52B92DF, 0x0000BFEB //A9 = -1.23295315941138567172e-06L
+data8 0x9AD6FE7A852DA239, 0x00003FE9 //A10 = +2.88411640627675721042e-07L
+data8 0x8BFE95FCD7B92763, 0x0000BFE7 //A11 = -6.51900079707465044843e-08L
+data8 0xE9F15C8E7F58CF90, 0x00003FE4 //A12 = +1.36172642554216769522e-08L
+data8 0x9E90F22B11FAF8B5, 0x0000BFE2 //A13 = -2.30744183054978535129e-09L
+data8 0xF8CF74F1A138FBBA, 0x00003FDE //A14 = +2.26291720693360003233e-10L
+// Pol9 
+data8 0x94D45274A831ED57, 0x00003FFC //A0 = +1.45341194505862183128e-01L
+data8 0x94D4518B699A4A68, 0x0000BFFA //A1 = -3.63352952323113355459e-02L
+data8 0x90C3B59FF403A916, 0x00003FF8 //A2 = +8.83572327421709216515e-03L
+data8 0x893B796D0E9B4867, 0x0000BFF6 //A3 = -2.09399904729894563201e-03L
+data8 0xFDFFA94903DCB8EA, 0x00003FF3 //A4 = +4.84464029001979577664e-04L
+data8 0xE5CE7C2E4B05CF16, 0x0000BFF1 //A5 = -1.09580317663729186599e-04L
+data8 0xCB88CC8F1146FDAE, 0x00003FEF //A6 = +2.42631878042764234194e-05L
+data8 0xB0AA52C6F44E47C8, 0x0000BFED //A7 = -5.26503698764159271674e-06L
+data8 0x966DD813170F8EBD, 0x00003FEB //A8 = +1.12078397189300511086e-06L
+data8 0xFB75782788A6E378, 0x0000BFE8 //A9 = -2.34189317246047219283e-07L
+data8 0xCDF787C4E5FDCF2A, 0x00003FE6 //A10 = +4.79554094892420966704e-08L
+data8 0xA34CD3DFAC12AA45, 0x0000BFE4 //A11 = -9.50531730989412282035e-09L
+data8 0xEEBB49645DE0E34C, 0x00003FE1 //A12 = +1.73700091999434388879e-09L
+data8 0x8C86D8677DEACFBA, 0x0000BFDF //A13 = -2.55616650187281815453e-10L
+data8 0xBDB223D0FE2A7D6B, 0x00003FDB //A14 = +2.15659223402509415592e-11L
+// Pol10 
+data8 0xF2C1812715E4050A, 0x00003FFB //A0 = +1.18533143048567888157e-01L
+data8 0xC7DA2C565ADAEE57, 0x0000BFF9 //A1 = -2.43960252726894623056e-02L
+data8 0xA15CEFFD632F697D, 0x00003FF7 //A2 = +4.92440908672041077933e-03L
+data8 0xFFCFF4D3FB118F69, 0x0000BFF4 //A3 = -9.75846593969603576904e-04L
+data8 0xC73F437D2F226C56, 0x00003FF2 //A4 = +1.90016864347860462550e-04L
+data8 0x989D7E1F60845811, 0x0000BFF0 //A5 = -3.63863004988760879054e-05L
+data8 0xE615A5A669361BE1, 0x00003FED //A6 = +6.85705419984646959791e-06L
+data8 0xAACD08E0BE6270F8, 0x0000BFEB //A7 = -1.27256599602163049440e-06L
+data8 0xF9DEE9C1C02A3062, 0x00003FE8 //A8 = +2.32710274258898439253e-07L
+data8 0xB420E960508A3003, 0x0000BFE6 //A9 = -4.19394488070741280136e-08L
+data8 0xFF5E3ECA229CB0C7, 0x00003FE3 //A10 = +7.43219121339261970485e-09L
+data8 0xAF86504D78D35E89, 0x0000BFE1 //A11 = -1.27711000692808421573e-09L
+data8 0xDE1CE78ADB6DDF04, 0x00003FDE //A12 = +2.02010513073041015283e-10L
+data8 0xE124FFAA267301A5, 0x0000BFDB //A13 = -2.55959692063871343080e-11L
+data8 0x81F1BEBEFBE168D2, 0x00003FD8 //A14 = +1.84661980716000872722e-12L
+// Pol11 
+data8 0xC6CE5D7D18203EAA, 0x00003FFB //A0 = +9.70732978630764996752e-02L
+data8 0x86E8A30A76923C88, 0x0000BFF9 //A1 = -1.64683517829920230086e-02L
+data8 0xB4A1CBB7576B4183, 0x00003FF6 //A2 = +2.75622581042760461528e-03L
+data8 0xEEB782FBC8BB352B, 0x0000BFF3 //A3 = -4.55316242981110299585e-04L
+data8 0x9BC489CC00C7E63A, 0x00003FF1 //A4 = +7.42758405750422020216e-05L
+data8 0xC8D418A9F2A78515, 0x0000BFEE //A5 = -1.19703114831817055481e-05L
+data8 0xFFE671DCEE8665A8, 0x00003FEB //A6 = +1.90660487794668853072e-06L
+data8 0xA1313247D3E35365, 0x0000BFE9 //A7 = -3.00243820009225833104e-07L
+data8 0xC8D5A87C970712B1, 0x00003FE6 //A8 = +4.67604496871825103188e-08L
+data8 0xF77258CEF4675E25, 0x0000BFE3 //A9 = -7.20164586117313631144e-09L
+data8 0x96549D79C0F33C27, 0x00003FE1 //A10 = +1.09379854902340983112e-09L
+data8 0xB16A6CC5A3AE6E01, 0x0000BFDE //A11 = -1.61358659378896671620e-10L
+data8 0xC0970F2551C52F96, 0x00003FDB //A12 = +2.18949565869759698947e-11L
+data8 0xA6E029ABB3BB500C, 0x0000BFD8 //A13 = -2.37144541649446501026e-12L
+data8 0xA3E43F3857D1B6A5, 0x00003FD4 //A14 = +1.45564973108152568130e-13L
+// Pol12 
+data8 0xA36E35FC807B3E64, 0x00003FFB //A0 = +7.98000543291529334886e-02L
+data8 0xB725A29237C8F94F, 0x0000BFF8 //A1 = -1.11784064873715046550e-02L
+data8 0xCB51EF23EAD5F327, 0x00003FF5 //A2 = +1.55120891755237931425e-03L
+data8 0xDFA838770AE711A2, 0x0000BFF2 //A3 = -2.13296043002775850891e-04L
+data8 0xF3D7B777730B202D, 0x00003FEF //A4 = +2.90683082614108095819e-05L
+data8 0x83C5FF0D475796DD, 0x0000BFED //A5 = -3.92715403535014263671e-06L
+data8 0x8D37B41345244FD5, 0x00003FEA //A6 = +5.26076523514903487927e-07L
+data8 0x9616B7E9C40C1DCC, 0x0000BFE7 //A7 = -6.98905176445499510102e-08L
+data8 0x9E38FDF61B26699A, 0x00003FE4 //A8 = +9.20976891314475742405e-09L
+data8 0xA565DFE27AEA03A1, 0x0000BFE1 //A9 = -1.20342845518628622757e-09L
+data8 0xAAEB9EFB497EC812, 0x00003FDE //A10 = +1.55451193328690040046e-10L
+data8 0xABD305A38349EAEB, 0x0000BFDB //A11 = -1.95341618552982314342e-11L
+data8 0x9EDB00104DB66DD9, 0x00003FD8 //A12 = +2.25747200093121867690e-12L
+data8 0xE9F80AF513F2B8AB, 0x0000BFD4 //A13 = -2.07806143133802417637e-13L
+data8 0xC2B840C3859AB166, 0x00003FD0 //A14 = +1.08091168358477817812e-14L
+// Pol13 
+data8 0x86CD0BF01914407A, 0x00003FFB //A0 = +6.58207829138836028568e-02L
+data8 0xF9F4A17FA70807C3, 0x0000BFF7 //A1 = -7.62803922344113067603e-03L
+data8 0xE63BF84EDE20EDAA, 0x00003FF4 //A2 = +8.78273993036530088653e-04L
+data8 0xD2B746011B39D879, 0x0000BFF1 //A3 = -1.00477176633442906101e-04L
+data8 0xBFA4F1F66023C975, 0x00003FEE //A4 = +1.14228914411837438985e-05L
+data8 0xAD3A05E1F1F0EA8F, 0x0000BFEB //A5 = -1.29063913420827451449e-06L
+data8 0x9BA1F2E56DBE1B49, 0x00003FE8 //A6 = +1.44944165416032280452e-07L
+data8 0x8AFE93AF627BAFA6, 0x0000BFE5 //A7 = -1.61810825806733824014e-08L
+data8 0xF6CEAB6E78304875, 0x00003FE1 //A8 = +1.79575947795401009493e-09L
+data8 0xD9BFD64FD9166ECF, 0x0000BFDE //A9 = -1.98041892772535870322e-10L
+data8 0xBE482C8AEA403737, 0x00003FDB //A10 = +2.16325508593741350803e-11L
+data8 0xA1FB98FA19E62A4F, 0x0000BFD8 //A11 = -2.30191407969654156362e-12L
+data8 0xFDB2E0599016AD1E, 0x00003FD4 //A12 = +2.25329742249079975388e-13L
+data8 0x9E179A99CDD4BF4B, 0x0000BFD1 //A13 = -1.75517603530017718494e-14L
+data8 0xDE4DE992A707C7BC, 0x00003FCC //A14 = +7.71273133169032472595e-16L
+// Pol14 
+data8 0xDF0639E60CF6E96C, 0x00003FFA //A0 = +5.44492971101228988138e-02L
+data8 0xAB6737B6065BD1C2, 0x0000BFF7 //A1 = -5.23081035867078490333e-03L
+data8 0x8322CC0765FD9C27, 0x00003FF4 //A2 = +5.00243857322493802503e-04L
+data8 0xC7C37C447AABC9BE, 0x0000BFF0 //A3 = -4.76273572257807668623e-05L
+data8 0x977C068C67DD09B3, 0x00003FED //A4 = +4.51458915834329225528e-06L
+data8 0xE4C00648054CBD72, 0x0000BFE9 //A5 = -4.26080256412742187632e-07L
+data8 0xABF9032C426C0F54, 0x00003FE6 //A6 = +4.00405155179176153559e-08L
+data8 0x80BD82177111B70D, 0x0000BFE3 //A7 = -3.74683488305340664541e-09L
+data8 0xBFEFB2BBFC4AAE16, 0x00003FDF //A8 = +3.49130134089615132836e-10L
+data8 0x8E68BCEC2A2F6025, 0x0000BFDC //A9 = -3.23800879252444001040e-11L
+data8 0xD19FEF92B2157585, 0x00003FD8 //A10 = +2.97894685764287382560e-12L
+data8 0x967A0ECC142382D9, 0x0000BFD5 //A11 = -2.67300472044743953909e-13L
+data8 0xC6D8869855133985, 0x00003FD1 //A12 = +2.20763189681614758000e-14L
+data8 0xD10AC0B228ABCECC, 0x0000BFCD //A13 = -1.45052027893524847250e-15L
+data8 0xF7C6DEB4522487A3, 0x00003FC8 //A14 = +5.37280367113168366711e-17L
+// Pol15 
+data8 0xB8F57DECFAC3B255, 0x00003FFA //A0 = +4.51559943173131409760e-02L
+data8 0xEC1B8A6C822C036F, 0x0000BFF6 //A1 = -3.60271577347565115947e-03L
+data8 0x963A6DD66951B72E, 0x00003FF3 //A2 = +2.86537625289770759336e-04L
+data8 0xBE93F9E80DF4AE0A, 0x0000BFEF //A3 = -2.27186718010906557773e-05L
+data8 0xF10589FC10D908E0, 0x00003FEB //A4 = +1.79575113004740124999e-06L
+data8 0x97F1A2435C7877EF, 0x0000BFE8 //A5 = -1.41508767557208714648e-07L
+data8 0xBEFF2FB5F00E9327, 0x00003FE4 //A6 = +1.11174782364058338591e-08L
+data8 0xEF5E09DC714DF198, 0x0000BFE0 //A7 = -8.70813302639377671664e-10L
+data8 0x958A6EB9408970A4, 0x00003FDD //A8 = +6.80032608255179732632e-11L
+data8 0xBA31F40954675710, 0x0000BFD9 //A9 = -5.29198388081297293593e-12L
+data8 0xE63B9CEEDC4CF0E6, 0x00003FD5 //A10 = +4.08975721481205179918e-13L
+data8 0x8AF8F1E3FED32CEC, 0x0000BFD2 //A11 = -3.08580807479307213059e-14L
+data8 0x9A88033A08842BEA, 0x00003FCE //A12 = +2.14455258045503137285e-15L
+data8 0x88BCF775B7B3A939, 0x0000BFCA //A13 = -1.18601440246395438386e-16L
+data8 0x88687B63A5B7135E, 0x00003FC5 //A14 = +3.69734984736162880476e-18L
+// Pol16 
+data8 0x99B8A501204BF3E7, 0x00003FFA //A0 = +3.75296063885057657456e-02L
+data8 0xA33FA20D2867C79C, 0x0000BFF6 //A1 = -2.49097544033960143953e-03L
+data8 0xACFD14CA6AA55829, 0x00003FF2 //A2 = +1.64974783411741182991e-04L
+data8 0xB6E9B4ED9B378B09, 0x0000BFEE //A3 = -1.09024594422859744844e-05L
+data8 0xC0FD95D38ADCF301, 0x00003FEA //A4 = +7.18945888498730738040e-07L
+data8 0xCB302F7AAFFFA074, 0x0000BFE6 //A5 = -4.73084450875945514829e-08L
+data8 0xD578674188198402, 0x00003FE2 //A6 = +3.10640208133938026422e-09L
+data8 0xDFCC6ED4219E7FC4, 0x0000BFDE //A7 = -2.03543610142159316364e-10L
+data8 0xEA1F448AA373E4A9, 0x00003FDA //A8 = +1.33083028465054001215e-11L
+data8 0xF44780B8EACD37B5, 0x0000BFD6 //A9 = -8.67854438613319891312e-13L
+data8 0xFD55794492F53AEE, 0x00003FD2 //A10 = +5.62514216652784597182e-14L
+data8 0x805C040421E7A098, 0x0000BFCF //A11 = -3.56269003968981157635e-15L
+data8 0xEFCCD20DE93A138E, 0x00003FCA //A12 = +2.07993414310230172191e-16L
+data8 0xB259764466732080, 0x0000BFC6 //A13 = -9.66834364652262630640e-18L
+data8 0x9597C1DB6AF830E4, 0x00003FC1 //A14 = +2.53420063550355940811e-19L
+// Pol17 
+data8 0xFFFCBD66BAA4368C, 0x00003FF9 //A0 = +3.12484454387527380657e-02L
+data8 0xE28174723762D197, 0x0000BFF5 //A1 = -1.72810121976742793952e-03L
+data8 0xC81D832836019EC4, 0x00003FF1 //A2 = +9.54224026432644399736e-05L
+data8 0xB0885530C7D7AB5B, 0x0000BFED //A3 = -5.26107996417947739207e-06L
+data8 0x9B7EA64F62F6FD06, 0x00003FE9 //A4 = +2.89631495607631932854e-07L
+data8 0x88C24ACAA9042166, 0x0000BFE5 //A5 = -1.59208376111789845204e-08L
+data8 0xF033E5CD9B7F2822, 0x00003FE0 //A6 = +8.73852423930118273815e-10L
+data8 0xD2A1B161FB4DFBFE, 0x0000BFDC //A7 = -4.78920839886600387264e-11L
+data8 0xB86B27FCBB5A1E9D, 0x00003FD8 //A8 = +2.62074563162805723295e-12L
+data8 0xA124E1303F08E508, 0x0000BFD4 //A9 = -1.43124677534734729453e-13L
+data8 0x8C0B270950D7C697, 0x00003FD0 //A10 = +7.77397948226387851915e-15L
+data8 0xEE034E350C65D2D9, 0x0000BFCB //A11 = -4.12886586201102092942e-16L
+data8 0xBA94473E52495304, 0x00003FC7 //A12 = +2.02289587087169937807e-17L
+data8 0xE913D34CBB853CEE, 0x0000BFC2 //A13 = -7.89697093687557412061e-19L
+data8 0xA44576A85E8CAB59, 0x00003FBD //A14 = +1.73929048516879172258e-20L
+// Pol18 
+data8 0xD579A3FE4622DED2, 0x00003FF9 //A0 = +2.60589793198885278242e-02L
+data8 0x9D97EB84E7CD89C8, 0x0000BFF5 //A1 = -1.20234251012583627659e-03L
+data8 0xE86EFDC2CCA5C47B, 0x00003FF0 //A2 = +5.54164790116744315389e-05L
+data8 0xAB39FA5621E39B15, 0x0000BFEC //A3 = -2.55147332073979814633e-06L
+data8 0xFC0244F58F8D8097, 0x00003FE7 //A4 = +1.17350772365097747003e-07L
+data8 0xB941D44B71B14FE2, 0x0000BFE3 //A5 = -5.39169255673480031672e-09L
+data8 0x880B4A40B6F2C901, 0x00003FDF //A6 = +2.47462779512141204748e-10L
+data8 0xC7998AE5652CDCFC, 0x0000BFDA //A7 = -1.13459336509953900777e-11L
+data8 0x92438AA45915CD95, 0x00003FD6 //A8 = +5.19633524685027215673e-13L
+data8 0xD6067243AD3AEAE6, 0x0000BFD1 //A9 = -2.37615683835509918256e-14L
+data8 0x9BD0722A07669E4D, 0x00003FCD //A10 = +1.08117849400479298186e-15L
+data8 0xDDF6F1B79F50E3C4, 0x0000BFC8 //A11 = -4.81309059042573202592e-17L
+data8 0x91F283C0351A9ACA, 0x00003FC4 //A12 = +1.97795505638619048412e-18L
+data8 0x990BC4FAFA9C7542, 0x0000BFBF //A13 = -6.48174913943425248713e-20L
+data8 0xB536865B89676892, 0x00003FB9 //A14 = +1.19916696090758913485e-21L
+// Pol19 
+data8 0xB241CEB1B7C953F1, 0x00003FF9 //A0 = +2.17598950382519671244e-02L
+data8 0xDBD6FBA9B11B85E1, 0x0000BFF4 //A1 = -8.38622198373701898430e-04L
+data8 0x877605B1AD082441, 0x00003FF0 //A2 = +3.22964249573360786077e-05L
+data8 0xA6D04DC067A5D310, 0x0000BFEB //A3 = -1.24285881515578912302e-06L
+data8 0xCD458A72BC161315, 0x00003FE6 //A4 = +4.77935289502172654216e-08L
+data8 0xFC6902CFB5DE90A2, 0x0000BFE1 //A5 = -1.83652591038905929358e-09L
+data8 0x9B12B0707DFE615C, 0x00003FDD //A6 = +7.05190381049444126079e-11L
+data8 0xBE67972F2C8EE5AE, 0x0000BFD8 //A7 = -2.70581282732878853626e-12L
+data8 0xE99D8CAF9A3FFE02, 0x00003FD3 //A8 = +1.03746090805854376435e-13L
+data8 0x8F35F5BBEF9E4299, 0x0000BFCF //A9 = -3.97489765699919189983e-15L
+data8 0xAF6E62C3C91B7178, 0x00003FCA //A10 = +1.52162305785839987182e-16L
+data8 0xD6636229C1646963, 0x0000BFC5 //A11 = -5.81100425482928485309e-18L
+data8 0x810331BF289E068F, 0x00003FC1 //A12 = +2.18555638648715837944e-19L
+data8 0x8E3D07CA59546B83, 0x0000BFBC //A13 = -7.53003820427900359431e-21L
+data8 0xD5970B291ED73560, 0x00003FB6 //A14 = +1.76677518655145552907e-22L
+LOCAL_OBJECT_END(erfc_p_table)
+
+
+.section .text
+GLOBAL_LIBM_ENTRY(erfc)
+
+{ .mfi
+      alloc       r32 = ar.pfs, 0, 33, 4, 0
+      fma.s1      FR_Tmp = f1, f1, f8                      // |x|+1, if x >= 0
+      nop.i       0
+}
+{ .mfi
+      addl        EXP_AD_TB1    = @ltoff(exp_table_1), gp
+      fms.s1      FR_Tmp1 = f1, f1, f8                      // |x|+1, if x < 0
+      mov         exp_GR_rshf_2to56 = 0x4768            // begin 1.1 2^(63+56)
+};;
+
+{ .mfi
+      ld8         EXP_AD_TB1    = [EXP_AD_TB1]
+      fcmp.ge.s1  p6,p7 = f8, f0                        // p6: x >= 0 ,p7: x<0
+      mov         exp_GR_rshf_2to56 = 0x4768            // begin 1.1 2^(63+56)
+}
+{ .mlx
+      mov         exp_TB1_size  = 0x100           
+      movl        exp_GR_sig_inv_ln2 = 0xb8aa3b295c17f0bc   //signif. of 1/ln2
+};;
+
+{ .mfi
+      nop.m       0
+      fclass.m    p8,p0 = f8,0x07                                 // p8: x = 0
+      shl         exp_GR_rshf_2to56 = exp_GR_rshf_2to56, 48 //end 1.1 2^(63+56)
+}
+{ .mfi
+      mov         exp_GR_exp_2tom56 = 0xffff-56
+      fnma.s1     EXP_NORM_f8   = f8, f8, f0             // high bits for -x^2
+      nop.i       0                      
+};;
+
+
+.pred.rel "mutex",p6,p7
+{ .mfi
+      setf.sig    EXP_INV_LN2_2TO63 = exp_GR_sig_inv_ln2  // form 1/ln2 * 2^63
+(p6)  fma.s1      FR_AbsArg = f1, f0, f8                     // |x|, if x >= 0
+      mov         GR_POS_ARG_ASYMP = 0x403C            
+}
+{ .mfi
+      mov         GR_NEG_ARG_ASYMP = 0x4018
+(p7)  fms.s1      FR_AbsArg = f1, f0, f8                      // |x|, if x < 0
+      mov         exp_GR_rshf = 0x43e8       // begin 1.1 2^63 for right shift
+};;
+
+{ .mfi
+      setf.exp    EXP_2TOM56 = exp_GR_exp_2tom56   // 2^-56 for scaling Nfloat
+      fclass.m    p10,p0 = f8, 0x21                           // p10: x = +inf
+      mov         exp_GR_17ones = 0x1FFFF       
+}
+{ .mlx                    
+      setf.d      EXP_RSHF_2TO56 = exp_GR_rshf_2to56   // const 1.10*2^(63+56)
+      movl        GR_ERFC_XB_TB = 0x1A0 
+};;
+
+
+.pred.rel "mutex",p6,p7
+{ .mfi
+      ldfd        FR_UnfBound = [EXP_AD_TB1], 16
+(p6)  fma.s1      FR_Tmp = FR_Tmp, FR_Tmp, f0               // (|x|+1)^2,x >=0
+      shl         exp_GR_rshf = exp_GR_rshf, 48 //end 1.1 2^63 for right shift
+}
+{ .mfi
+      nop.m       0      
+(p7)  fma.s1      FR_Tmp = FR_Tmp1, FR_Tmp1, f0              // (|x|+1)^2, x<0
+      mov         GR_0x1 = 0x1 
+};;
+
+{ .mfi
+      mov         GR_BIAS = 0x0FFFF
+      fclass.m    p9,p0 = f8, 0x22                             // p9: x = -inf
+      shl         GR_EpsNorm = GR_0x1,53
+}
+{ .mfb
+      mov         exp_TB2_size  = 0x80
+(p8)  fma.d.s0    f8 = f1, f1, f0                         //p8: y = 1.0, x = 0
+(p8)  br.ret.spnt b0                               //p8:  quick exit for x = 0
+};;
+
+{ .mfi
+      nop.m       0
+      fclass.m    p11,p0 = f8, 0xc3                          // p11: x = nan
+      nop.i       0 
+}
+{ .mfi
+      setf.d      EXP_RSHF = exp_GR_rshf //Form right shift const 1.100 * 2^63
+      fma.s1      FR_NormX = f8,f1,f0
+      nop.i       0
+};;
+
+{ .mfi
+      setf.d      FR_EpsNorm = GR_EpsNorm   
+      nop.f       0      
+(p6)  shl         GR_ARG_ASYMP = GR_POS_ARG_ASYMP, 48//p6:ARG_ASYMP= 28.0,x>=0
+}
+{ .mfi
+      nop.m       0
+      fma.s1      FR_2 = f1, f1, f1
+      nop.i       0
+};;
+
+{ .mfi
+      ldfe        exp_ln2_by_128_hi  = [EXP_AD_TB1],16
+      fma.s1      f8_sq_lo = f8, f8, EXP_NORM_f8          // low bits for -x^2
+(p7)  shl         GR_ARG_ASYMP = GR_NEG_ARG_ASYMP, 48//p6:ARG_ASYMP= 6.0,x < 0
+};;
+
+{ .mfi
+      sub         GR_mBIAS = r0, GR_BIAS    
+      fma.s1      FR_Tmp = FR_Tmp, FR_Tmp, f0                     // (|x|+1)^4
+      nop.i       0
+}
+{ .mfi
+      ldfe        exp_ln2_by_128_lo  = [EXP_AD_TB1], 16
+      nop.f       0
+      nop.i       0 
+};;
+
+{ .mfi
+      getf.d      GR_AbsArg = FR_AbsArg 
+      nop.f       0
+      add         GR_ERFC_XB_TB = GR_ERFC_XB_TB, EXP_AD_TB1//pointer to XB_TBL
+}
+{ .mfb
+      shladd      GR_ShftPi_bias = GR_BIAS, 4, GR_mBIAS // BIAS *  2^4 - BIAS
+(p9)  fma.d.s0    f8 = f1, f1, f1                   // p9: y = 2 for x = -inf
+(p9)  br.ret.spnt b0                           // p9: quick exit for x = -inf
+};;
+
+{ .mfi
+      add         GR_ERFC_P_TB = 0x140, GR_ERFC_XB_TB      // pointer to P_TBL
+      fma.s1    EXP_W_2TO56_RSH = EXP_NORM_f8,EXP_INV_LN2_2TO63,EXP_RSHF_2TO56
+      shladd      GR_ShftPi_bias = GR_ShftPi_bias, 4, r0        //  BIAS * 240
+}
+{ .mfb    
+      nop.m       0
+(p10) fma.d.s0       f8 = f0, f1, f0                   // p10: y = 0 for x = +inf
+(p10) br.ret.spnt b0                           // p10: quick exit for x = +inf
+};;
+
+
+.pred.rel "mutex",p6,p7
+{ .mfi
+(p6)  cmp.gt.unc  p15,p0 = GR_AbsArg,GR_ARG_ASYMP   //p15: x > 28.0,p6: x >= 0
+      nop.f       0    
+(p7)  cmp.gt.unc  p14,p0 = GR_AbsArg, GR_ARG_ASYMP  //p14: x < - 6.0,p7: x < 0
+}
+{ .mfb
+      add         EXP_AD_TB2 = exp_TB1_size, EXP_AD_TB1
+(p11) fma.d.s0    f8 = f8, f1, f0                     //p11: y = x for x = nan
+(p11) br.ret.spnt b0                             //p11: quick exit for x = nan
+};;
+                        
+{ .mfi 
+      add         EXP_AD_P = exp_TB2_size, EXP_AD_TB2     
+      fms.s1      f8_sq_lo = f1, f1, f8_sq_lo         // 1 - low bits for -x^2
+      nop.i       0
+};;
+
+{ .mfi
+      ldfpd       exp_P4, exp_P3  = [EXP_AD_P], 16
+      fmerge.s    FR_X = f8,f8
+      shladd      GR_ShftXBi_bias = GR_mBIAS, 4, r0
+} 
+{ .mfb
+      nop.m       0
+(p14) fnma.d.s0   FR_RESULT = FR_EpsNorm,FR_EpsNorm,FR_2 //p14:y ~=~ 2,x< -6.0
+(p14) br.ret.spnt b0                            //p14: quick exit for x < -6.0
+};;
+
+//p15: y ~=~ 0.0(result with underflow error), x > ARG_ASYMP = 28, 
+{ .mfi
+      ldfpd       exp_P2, exp_P1  = [EXP_AD_P]
+      fma.d.s0    FR_Tmpf = f1, f1, FR_EpsNorm                      // flag i
+      nop.i       0
+}
+{ .mfb
+(p15) mov         GR_Parameter_TAG = 208
+(p15) fma.d.s0    FR_RESULT = FR_EpsNorm,FR_EpsNorm,f0 
+(p15) br.cond.spnt __libm_error_region
+};;
+
+//p8: x < 27.0, result without ungerflow error
+{ .mfi
+      getf.exp    GR_IndxPlusBias = FR_Tmp         // exp + bias for (|x|+1)^4
+      fcmp.lt.s1  p8,p0 = FR_NormX,FR_UnfBound      
+      nop.i       0
+}
+{ .mfi
+      nop.m       0
+      fms.s1      EXP_Nfloat = EXP_W_2TO56_RSH, EXP_2TOM56, EXP_RSHF
+      nop.i       0
+};;
+
+{ .mmi
+      shladd      GR_ShftXBi = GR_IndxPlusBias, 4, GR_ShftXBi_bias
+      shladd      GR_ShftPi = GR_IndxPlusBias, 4, GR_ShftPi_bias
+      shl         GR_ShftPi_8 = GR_IndxPlusBias, 8       
+};;
+
+{ .mmi
+      getf.sig    exp_GR_N        = EXP_W_2TO56_RSH      
+      add         GR_ERFC_XB_TB = GR_ERFC_XB_TB, GR_ShftXBi// pointer to XB[i]
+      sub         GR_ShftPi = GR_ShftPi_8, GR_ShftPi             // (256-16)*i
+};;
+
+{ .mmi
+      ldfe        FR_Xb  = [GR_ERFC_XB_TB]
+      add         GR_ShftA12 = 0xC0, GR_ShftPi        // pointer shift for A12
+      add         GR_ShftA13 = 0xD0, GR_ShftPi        // pointer shift for A13 
+};;
+
+{ .mfi
+      add         GR_P_A13 = GR_ERFC_P_TB, GR_ShftA13        // pointer to A13
+      nop.f       0
+      and         exp_GR_index_1 = 0x0f, exp_GR_N         
+}
+{ .mfi
+      add         GR_P_A12 = GR_ERFC_P_TB, GR_ShftA12        // pointer to A12
+      fnma.s1     exp_r   = EXP_Nfloat, exp_ln2_by_128_hi, EXP_NORM_f8
+      nop.i       0
+};;
+
+{ .mfi
+      ldfe        FR_A12 = [GR_P_A12], -64  
+      nop.f       0
+      and         exp_GR_index_2_16 = 0x70, exp_GR_N 
+}
+{ .mfi
+      ldfe        FR_A13 = [GR_P_A13], -64 
+      nop.f       0
+      shladd      EXP_AD_T1 = exp_GR_index_1, 4, EXP_AD_TB1 
+};;            
+
+{ .mmi              
+      ldfe        FR_A8 = [GR_P_A12], 32
+      ldfe        FR_A9 = [GR_P_A13], 32  
+      add         EXP_AD_T2 = EXP_AD_TB2, exp_GR_index_2_16
+};;
+
+{ .mmi
+      ldfe        FR_A10 = [GR_P_A12], -96
+      ldfe        FR_A11 = [GR_P_A13], -96
+      nop.i       0      
+};;
+
+{ .mmi
+      ldfe        FR_A4 = [GR_P_A12], 32
+      ldfe        FR_A5 = [GR_P_A13], 32 
+      shr         r2 = exp_GR_N,  0x7
+};;
+
+{ .mfi       
+      ldfe        FR_A6 = [GR_P_A12], -64  
+      fma.s1      exp_rP4pP3 = exp_r, exp_P4, exp_P3
+      nop.i       0
+}
+{ .mfi      
+      ldfe        FR_A7 = [GR_P_A13], -64 
+      fma.s1      exp_rsq = exp_r, exp_r, f0
+      nop.i       0
+};;
+
+{ .mmi
+      ldfe        FR_A2 = [GR_P_A12], -32
+      ldfe        FR_A3 = [GR_P_A13], -32  
+      addl        exp_GR_biased_M = 0xffff, r2
+};;
+
+{ .mmi      
+      ldfe        FR_A0 = [GR_P_A12], 224
+      ldfe        FR_A1 = [GR_P_A13]
+      nop.i       0
+};;
+
+{ .mfi
+      ldfe        FR_A14 = [GR_P_A12]
+      fms.s1      FR_LocArg = FR_AbsArg, f1, FR_Xb          // xloc = x - x[i]
+      nop.i       0
+};;
+
+{ .mmi
+      setf.exp    EXP_2M = exp_GR_biased_M
+      ldfe        exp_T1  = [EXP_AD_T1]
+      nop.i       0
+};;
+
+{ .mfi
+      ldfe        exp_T2  = [EXP_AD_T2]
+      fma.s1      exp_P_hi  = exp_rsq, exp_P1, exp_r
+      nop.i       0
+};;
+
+{ .mfi
+      nop.m       0                  
+      fma.s1      exp_rcube = exp_r, exp_rsq, f0
+      nop.i       0
+}    
+{ .mfi          
+      nop.m       0       
+      fma.s1      exp_P_lo  = exp_r, exp_rP4pP3, exp_P2
+      nop.i       0
+};;
+
+{ .mfi
+      nop.m       0
+      fnma.s1     exp_f   = EXP_Nfloat, exp_ln2_by_128_lo, f8_sq_lo
+      nop.i       0  
+};;            
+
+{ .mfi
+      nop.m       0
+      fma.s1      FR_P14_0_1 = FR_LocArg, FR_LocArg, f0            // xloc ^2
+      nop.i       0 
+}
+{ .mfi
+      nop.m       0 
+      fma.s1      FR_P14_0_2 = FR_A13, FR_LocArg, FR_A12
+      nop.i       0 
+};;
+
+{ .mfi
+      nop.m       0
+      fma.s1      FR_P14_1_1 = FR_A9, FR_LocArg, FR_A8 
+      nop.i       0
+}
+{ .mfi
+      nop.m       0
+      fma.s1      FR_P14_1_2 = FR_A11, FR_LocArg, FR_A10 
+      nop.i       0
+};;
+
+{ .mfi
+      nop.m       0
+      fma.s1      FR_P14_2_1 = FR_A5, FR_LocArg, FR_A4
+      nop.i       0                   
+}
+{ .mfi
+      nop.m       0
+      fma.s1      FR_P14_2_2 = FR_A7, FR_LocArg, FR_A6
+      nop.i       0
+};;                       
+
+{ .mfi
+      nop.m       0
+      fma.s1      FR_P14_3_1 = FR_A1, FR_LocArg, FR_A0
+      nop.i       0
+}
+{ .mfi
+      nop.m       0
+      fma.s1      FR_P14_3_2 = FR_A3, FR_LocArg, FR_A2
+      nop.i       0
+};;
+
+{ .mfi
+      nop.m       0
+      fma.s1      FR_P14_6_1 = FR_P14_0_1, FR_A14, FR_P14_0_2
+      nop.i       0
+}
+{ .mfi
+      nop.m       0
+      fma.s1      FR_P14_7_2 = FR_P14_0_1, FR_P14_0_1, f0
+      nop.i       0
+};;
+
+{ .mfi
+      nop.m       0
+      fma.s1      FR_P14_7_1 = FR_P14_0_1, FR_P14_1_2, FR_P14_1_1
+      nop.i       0
+}
+{ .mfi
+      nop.m       0
+      fma.s1      exp_S2  = exp_f, exp_T2, f0
+      nop.i       0
+};;
+{ .mfi
+      nop.m       0        
+      fma.s1      exp_S1  = EXP_2M, exp_T1, f0
+      nop.i       0
+};;
+
+{ .mfi
+      nop.m       0
+      fma.s1      FR_P14_8_1 = FR_P14_0_1, FR_P14_3_2, FR_P14_3_1
+      nop.i       0
+}
+{ .mfi
+      nop.m       0
+      fma.s1      FR_P14_8_2 = FR_P14_0_1, FR_P14_2_2, FR_P14_2_1
+      nop.i       0
+};;
+
+{ .mfi
+      nop.m       0
+      fma.s1      FR_P14_12_1 = FR_P14_7_2, FR_P14_6_1, FR_P14_7_1
+      nop.i       0
+};;
+
+{ .mfi
+      nop.m       0  
+      fma.s1      exp_S   = exp_S1, exp_S2, f0     
+      nop.i       0                    
+}
+{ .mfi
+      nop.m       0
+      fma.s1      exp_P     = exp_rcube, exp_P_lo, exp_P_hi
+      nop.i       0
+};;
+
+
+{ .mfi
+      nop.m       0
+      fma.s1      FR_P14_13_1 = FR_P14_7_2, FR_P14_8_2, FR_P14_8_1
+      nop.i       0
+}
+{ .mfi
+      nop.m       0
+      fma.s1      FR_P14_13_2 = FR_P14_7_2, FR_P14_7_2, f0           // xloc^8
+      nop.i       0
+};;
+
+{ .mfi
+      nop.m       0
+      fma.s1      FR_Exp = exp_S, exp_P, exp_S                    // exp(-x^2)
+      nop.i       0          
+}
+{ .mfi
+      nop.m       0
+      fma.s1      FR_Pol = FR_P14_13_2, FR_P14_12_1, FR_P14_13_1 
+      nop.i       0
+};;
+
+{ .mfi
+      nop.m       0
+      fma.d.s0    FR_Tmpf = f8, f1, f0                             //  flag  d
+      nop.i       0 
+};;
+
+//p6: result for     0 < x < = 28.0,
+//p7: result for    -6.0  <= x < 0,
+//p8: exit   for   - 6.0  <=   x < UnfBound ~=~ 26.54..
+                             
+.pred.rel "mutex",p6,p7
+{ .mfi
+      nop.m       0
+(p6)  fma.d.s0    f8 = FR_Exp, FR_Pol, f0  
+      nop.i       0         
+}
+{ .mfb
+      mov         GR_Parameter_TAG = 208
+(p7)  fnma.d.s0   f8 = FR_Exp, FR_Pol, FR_2         
+(p8)  br.ret.sptk b0                     
+};;
+
+GLOBAL_LIBM_END(erfc)
+// call via (p15) br.cond.spnt   __libm_error_region
+//          for  x > ARG_ASYMP = 28.0
+// or
+//
+// after .endp erfc for UnfBound < = x < = ARG_ASYMP = 28.0
+
+LOCAL_LIBM_ENTRY(__libm_error_region)
+.prologue
+{ .mfi
+        add   GR_Parameter_Y=-32,sp                       // Parameter 2 value
+        nop.f 0
+.save   ar.pfs,GR_SAVE_PFS
+        mov  GR_SAVE_PFS=ar.pfs                                 // Save ar.pfs
+}
+{ .mfi
+.fframe 64 
+        add sp=-64,sp                                      // Create new stack
+        nop.f 0
+        mov GR_SAVE_GP=gp                                           // Save gp
+};;
+{ .mmi
+        stfd [GR_Parameter_Y] = FR_Y,16          // STORE Parameter 2 on stack
+        add GR_Parameter_X = 16,sp                      // Parameter 1 address
+.save   b0, GR_SAVE_B0                      
+        mov GR_SAVE_B0=b0                                           // Save b0
+};;
+.body
+{ .mib
+        stfd [GR_Parameter_X] = FR_X             // STORE Parameter 1 on stack
+        add   GR_Parameter_RESULT = 0,GR_Parameter_Y    // Parameter 3 address
+        nop.b 0                                      
+}
+{ .mib
+        stfd [GR_Parameter_Y] = FR_RESULT        // STORE Parameter 3 on stack
+        add   GR_Parameter_Y = -16,GR_Parameter_Y  
+        br.call.sptk b0=__libm_error_support#  // Call error handling function
+};;
+{ .mmi
+        nop.m 0
+        nop.m 0
+        add   GR_Parameter_RESULT = 48,sp
+};;
+{ .mmi
+        ldfd  f8 = [GR_Parameter_RESULT]        // Get return result off stack
+.restore sp
+        add   sp = 64,sp                              // Restore stack pointer
+        mov   b0 = GR_SAVE_B0                        // Restore return address
+};;
+{ .mib
+        mov   gp = GR_SAVE_GP                                    // Restore gp
+        mov   ar.pfs = GR_SAVE_PFS                           // Restore ar.pfs
+        br.ret.sptk     b0                                           // Return
+};; 
+
+LOCAL_LIBM_END(__libm_error_region)
+.type   __libm_error_support#,@function
+.global __libm_error_support#
+
+
+
diff --git a/sysdeps/ia64/fpu/s_erfcf.S b/sysdeps/ia64/fpu/s_erfcf.S
new file mode 100644
index 0000000000..7d9e2a9fa8
--- /dev/null
+++ b/sysdeps/ia64/fpu/s_erfcf.S
@@ -0,0 +1,981 @@
+.file "erfcf.s"
+
+
+// Copyright (c) 2002 - 2003, Intel Corporation
+// All rights reserved.
+//
+// Contributed 2002 by the Intel Numerics Group, Intel Corporation
+//
+// Redistribution and use in source and binary forms, with or without
+// modification, are permitted provided that the following conditions are
+// met:
+//
+// * Redistributions of source code must retain the above copyright
+// notice, this list of conditions and the following disclaimer.
+//
+// * Redistributions in binary form must reproduce the above copyright
+// notice, this list of conditions and the following disclaimer in the
+// documentation and/or other materials provided with the distribution.
+//
+// * The name of Intel Corporation may not be used to endorse or promote
+// products derived from this software without specific prior written
+// permission.
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
+// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS 
+// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, 
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY 
+// OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 
+// 
+// Intel Corporation is the author of this code, and requests that all
+// problem reports or change requests be submitted to it directly at 
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
+//
+// History
+//==============================================================
+// 01/17/02  Initial version
+// 05/20/02  Cleaned up namespace and sf0 syntax
+// 02/06/03  Reordered header: .section, .global, .proc, .align
+//
+// API
+//==============================================================
+// float erfcf(float)
+//
+// Overview of operation
+//==============================================================
+// 1. 0 <= x <= 10.06
+//    
+//    erfcf(x)  = P15(x) * exp( -x^2 )
+//
+//    Comment:
+//
+//    Let x(0)=0, x(i) = 2^(i), i=1,...3, x(4)= 10.06
+// 
+//    Let x(i)<= x < x(i+1).
+//    We can find i as exponent of argument x (let i = 0 for 0<= x < 2  )
+// 
+//    Let P15(x) - polynomial approximation of degree 15 for function
+//    erfcf(x) * exp( x^2) and x(i) <= x <= x(i+1), i = 0,1,2,3
+//    Polynomial coeffitients we have in the table erfc_p_table.
+//
+//    So we can find result for erfcf(x) as above.
+//    Algorithm description for exp function see below.
+//                     
+// 2. -4.4 <= x < 0
+//
+//    erfcf(x)  = 2.0 - erfcf(-x)
+//
+// 3. x > 10.06
+//
+//    erfcf(x)  ~=~ 0.0
+//
+// 4. x < -4.4
+//            
+//    erfcf(x)  ~=~ 2.0
+
+// Special values 
+//==============================================================
+// erfcf(+0)    = 1.0
+// erfcf(-0)    = 1.0
+
+// erfcf(+qnan) = +qnan 
+// erfcf(-qnan) = -qnan 
+// erfcf(+snan) = +qnan 
+// erfcf(-snan) = -qnan 
+
+// erfcf(-inf)  = 2.0 
+// erfcf(+inf)  = +0
+
+//==============================================================
+// Take double exp(double) from libm_64.
+//
+// Overview of operation
+//==============================================================
+// Take the input x. w is "how many log2/128 in x?"
+//  w = x * 128/log2
+//  n = int(w)
+//  x = n log2/128 + r + delta
+
+//  n = 128M + index_1 + 2^4 index_2
+//  x = M log2 + (log2/128) index_1 + (log2/8) index_2 + r + delta
+
+//  exp(x) = 2^M  2^(index_1/128)  2^(index_2/8) exp(r) exp(delta)
+//       Construct 2^M
+//       Get 2^(index_1/128) from table_1;
+//       Get 2^(index_2/8)   from table_2;
+//       Calculate exp(r) by series
+//          r = x - n (log2/128)_high
+//          delta = - n (log2/128)_low
+//       Calculate exp(delta) as 1 + delta
+//
+// Comment for erfcf:
+//
+// Let exp(r) = 1 + x + 0.5*x^2 + (1/6)*x^3
+// Let delta  = 0.
+//==============================================================
+//
+// Registers used
+//==============================================================
+// Floating Point registers used: 
+// f8, input
+// f6,f7,f9 -> f11,  f32 -> f92
+
+// General registers used: 
+// r14 -> r22,r32 -> r50 
+
+// Predicate registers used:
+// p6 -> p15
+
+// Assembly macros
+//==============================================================
+EXP_AD_TB1             = r14
+exp_GR_sig_inv_ln2     = r15
+exp_TB1_size           = r16
+exp_GR_rshf_2to56      = r17
+exp_GR_exp_2tom56      = r18
+
+exp_GR_rshf            = r33
+EXP_AD_TB2             = r34
+EXP_AD_P               = r35
+exp_GR_N               = r36
+exp_GR_index_1         = r37
+exp_GR_index_2_16      = r38
+exp_GR_biased_M        = r39
+EXP_AD_T1              = r40
+EXP_AD_T2              = r41
+exp_TB2_size           = r42
+
+// GR for erfcf(x)
+//==============================================================
+GR_IndxPlusBias        = r19
+GR_ExpMask             = r20
+GR_BIAS                = r21
+GR_ShftPi_bias         = r22
+
+GR_P_POINT_1           = r43
+GR_P_POINT_2           = r44
+GR_P_POINT_3           = r45
+GR_P_POINT_4           = r46
+
+GR_ShftPi              = r47
+GR_EpsNorm             = r48
+
+GR_05                  = r49
+GR_1_by_6              = r50
+
+// GR for __libm_support call
+//==============================================================
+
+GR_SAVE_B0             = r43
+GR_SAVE_PFS            = r44
+GR_SAVE_GP             = r45
+GR_SAVE_SP             = r46
+
+GR_Parameter_X         = r47
+GR_Parameter_Y         = r48
+GR_Parameter_RESULT    = r49
+GR_Parameter_TAG       = r50
+
+
+// FR for exp(-x^2)
+//==============================================================
+FR_X                   = f10
+FR_Y                   = f1
+FR_RESULT              = f8
+
+EXP_2TOM56             = f6
+EXP_INV_LN2_2TO63      = f7
+EXP_W_2TO56_RSH        = f9
+exp_ln2_by_128_hi      = f11
+
+EXP_RSHF_2TO56         = f32 
+exp_ln2_by_128_lo      = f33 
+EXP_RSHF               = f34
+EXP_Nfloat             = f35 
+exp_r                  = f36
+exp_rsq                = f37
+EXP_2M                 = f38
+exp_S1                 = f39
+exp_T1                 = f40
+exp_P                  = f41
+exp_S                  = f42
+EXP_NORM_f8            = f43   
+exp_S2                 = f44
+exp_T2                 = f45
+
+// FR for erfcf(x)
+//==============================================================
+FR_AbsArg              = f46
+FR_Tmp                 = f47
+FR_Tmp1                = f48
+FR_Tmpf                = f49
+FR_NormX               = f50
+
+FR_A15                 = f51
+FR_A14                 = f52
+
+FR_A13                 = f53
+FR_A12                 = f54
+
+FR_A11                 = f55
+FR_A10                 = f56
+
+FR_A9                  = f57
+FR_A8                  = f58
+
+FR_A7                  = f59
+FR_A6                  = f60
+
+FR_A5                  = f61
+FR_A4                  = f62
+
+FR_A3                  = f63
+FR_A2                  = f64
+
+FR_A1                  = f65
+FR_A0                  = f66
+
+FR_P15_0_1             = f67
+FR_P15_1_1             = f68
+FR_P15_1_2             = f69
+FR_P15_2_1             = f70
+FR_P15_2_2             = f71
+FR_P15_3_1             = f72
+FR_P15_3_2             = f73
+FR_P15_4_1             = f74
+FR_P15_4_2             = f75
+FR_P15_7_1             = f76
+FR_P15_7_2             = f77
+FR_P15_8_1             = f78
+FR_P15_9_1             = f79
+FR_P15_9_2             = f80
+FR_P15_13_1            = f81
+FR_P15_14_1            = f82
+FR_P15_14_2            = f83
+
+FR_2                   = f84
+FR_05                  = f85
+FR_1_by_6              = f86
+FR_Pol                 = f87
+FR_Exp                 = f88
+
+FR_POS_ARG_ASYMP       = f89
+FR_NEG_ARG_ASYMP       = f90
+
+FR_UnfBound            = f91
+FR_EpsNorm             = f92
+
+// Data tables
+//==============================================================
+RODATA
+.align 16
+
+// ************* DO NOT CHANGE ORDER OF THESE TABLES ********************
+
+// double-extended 1/ln(2)
+// 3fff b8aa 3b29 5c17 f0bb be87fed0691d3e88
+// 3fff b8aa 3b29 5c17 f0bc 
+// For speed the significand will be loaded directly with a movl and setf.sig
+//   and the exponent will be bias+63 instead of bias+0.  Thus subsequent
+//   computations need to scale appropriately.
+// The constant 128/ln(2) is needed for the computation of w.  This is also 
+//   obtained by scaling the computations.
+//
+// Two shifting constants are loaded directly with movl and setf.d. 
+//   1. EXP_RSHF_2TO56 = 1.1000..00 * 2^(63-7) 
+//        This constant is added to x*1/ln2 to shift the integer part of
+//        x*128/ln2 into the rightmost bits of the significand.
+//        The result of this fma is EXP_W_2TO56_RSH.
+//   2. EXP_RSHF       = 1.1000..00 * 2^(63) 
+//        This constant is subtracted from EXP_W_2TO56_RSH * 2^(-56) to give
+//        the integer part of w, n, as a floating-point number.
+//        The result of this fms is EXP_Nfloat.
+
+
+LOCAL_OBJECT_START(exp_table_1)
+
+data4 0x4120f5c3, 0x408ccccd      //POS_ARG_ASYMP = 10.06, NEG_ARG_ASYMP = 4.4
+data4 0x41131Cdf, 0x00800000     //UnfBound ~=~ 9.1, EpsNorm ~=~ 1.1754944e-38
+//
+data8 0xb17217f7d1cf79ab , 0x00003ff7                            // ln2/128 hi
+data8 0xc9e3b39803f2f6af , 0x00003fb7                            // ln2/128 lo
+//
+// Table 1 is 2^(index_1/128) where
+// index_1 goes from 0 to 15
+//
+data8 0x8000000000000000 , 0x00003FFF
+data8 0x80B1ED4FD999AB6C , 0x00003FFF
+data8 0x8164D1F3BC030773 , 0x00003FFF
+data8 0x8218AF4373FC25EC , 0x00003FFF
+data8 0x82CD8698AC2BA1D7 , 0x00003FFF
+data8 0x8383594EEFB6EE37 , 0x00003FFF
+data8 0x843A28C3ACDE4046 , 0x00003FFF
+data8 0x84F1F656379C1A29 , 0x00003FFF
+data8 0x85AAC367CC487B15 , 0x00003FFF
+data8 0x8664915B923FBA04 , 0x00003FFF
+data8 0x871F61969E8D1010 , 0x00003FFF
+data8 0x87DB357FF698D792 , 0x00003FFF
+data8 0x88980E8092DA8527 , 0x00003FFF
+data8 0x8955EE03618E5FDD , 0x00003FFF
+data8 0x8A14D575496EFD9A , 0x00003FFF
+data8 0x8AD4C6452C728924 , 0x00003FFF
+LOCAL_OBJECT_END(exp_table_1)
+
+// Table 2 is 2^(index_1/8) where
+// index_2 goes from 0 to 7
+
+LOCAL_OBJECT_START(exp_table_2)
+
+data8 0x8000000000000000 , 0x00003FFF
+data8 0x8B95C1E3EA8BD6E7 , 0x00003FFF
+data8 0x9837F0518DB8A96F , 0x00003FFF
+data8 0xA5FED6A9B15138EA , 0x00003FFF
+data8 0xB504F333F9DE6484 , 0x00003FFF
+data8 0xC5672A115506DADD , 0x00003FFF
+data8 0xD744FCCAD69D6AF4 , 0x00003FFF
+data8 0xEAC0C6E7DD24392F , 0x00003FFF
+LOCAL_OBJECT_END(exp_table_2)
+
+LOCAL_OBJECT_START(erfc_p_table)
+
+// Pol_0 
+data8 0xBEA3260C63CB0446             //A15 = -5.70673541831883454676e-07
+data8 0x3EE63D6178077654             //A14 = +1.06047480138940182343e-05
+data8 0xBF18646BC5FC70A7             //A13 = -9.30491237309283694347e-05
+data8 0x3F40F92F909117FE             //A12 = +5.17986512144075019133e-04
+data8 0xBF611344289DE1E6             //A11 = -2.08438217390159994419e-03
+data8 0x3F7AF9FE6AD16DC0             //A10 = +6.58606893292862351928e-03
+data8 0xBF91D219E196CBA7             //A9 = -1.74030345858217321001e-02
+data8 0x3FA4AFDDA355854C             //A8 = +4.04042493708041968315e-02
+data8 0xBFB5D465BB7025AE             //A7 = -8.52721769916999425445e-02
+data8 0x3FC54C15A95B717D             //A6 = +1.66384418195672549029e-01
+data8 0xBFD340A75B4B1AB5             //A5 = -3.00821150926292166899e-01
+data8 0x3FDFFFC0BFCD247F             //A4 = +4.99984919839853542841e-01
+data8 0xBFE81270C361852B             //A3 = -7.52251035312075583309e-01
+data8 0x3FEFFFFFC67295FC             //A2 = +9.99999892800303301771e-01
+data8 0xBFF20DD74F8CD2BF             //A1 = -1.12837916445020868099e+00
+data8 0x3FEFFFFFFFFE7C1D             //A0 = +9.99999999988975570714e-01
+// Pol_1 
+data8 0xBDE8EC4BDD953B56             //A15 = -1.81338928934942767144e-10
+data8 0x3E43607F269E2A1C             //A14 = +9.02309090272196442358e-09
+data8 0xBE8C4D9E69C10E02             //A13 = -2.10875261143659275328e-07
+data8 0x3EC9CF2F84566725             //A12 = +3.07671055805877356583e-06
+data8 0xBF007980B1B46A4D             //A11 = -3.14228438702169818945e-05
+data8 0x3F2F4C3AD6DEF24A             //A10 = +2.38783056770846320260e-04
+data8 0xBF56F5129F8D30FA             //A9 = -1.40120333363130546426e-03
+data8 0x3F7AA6C7ABFC38EE             //A8 = +6.50671002200751820429e-03
+data8 0xBF98E7522CB84BEF             //A7 = -2.43199195666185511109e-02
+data8 0x3FB2F68EB1C3D073             //A6 = +7.40746673580490638637e-02
+data8 0xBFC7C16055AC6385             //A5 = -1.85588876564704611769e-01
+data8 0x3FD8A707AEF5A440             //A4 = +3.85194702967570635211e-01
+data8 0xBFE547BFE39AE2EA             //A3 = -6.65008492032112467310e-01
+data8 0x3FEE7C91BDF13578             //A2 = +9.52706213932898128515e-01
+data8 0xBFF1CB5B61F8C589             //A1 = -1.11214769621105541214e+00
+data8 0x3FEFEA56BC81FD37             //A0 = +9.97355812243688815239e-01
+// Pol_2 
+data8 0xBD302724A12F46E0             //A15 = -5.73866382814058809406e-14
+data8 0x3D98889B75D3102E             //A14 = +5.57829983681360947356e-12
+data8 0xBDF16EA15074A1E9             //A13 = -2.53671153922423457844e-10
+data8 0x3E3EC6E688CFEE5F             //A12 = +7.16581828336436419561e-09
+data8 0xBE82E5ED44C52609             //A11 = -1.40802202239825487803e-07
+data8 0x3EC120BE5CE42353             //A10 = +2.04180535157522081699e-06
+data8 0xBEF7B8B0311A1911             //A9 = -2.26225266204633600888e-05
+data8 0x3F29A281F43FC238             //A8 = +1.95577968156184077632e-04
+data8 0xBF55E19858B3B7A4             //A7 = -1.33552434527526534043e-03
+data8 0x3F7DAC8C3D12E5FD             //A6 = +7.24463253680473816303e-03
+data8 0xBF9FF9C04613FB47             //A5 = -3.12261622211693854028e-02
+data8 0x3FBB3D5DBF9D9366             //A4 = +1.06405123978743883370e-01
+data8 0xBFD224DE9F62C258             //A3 = -2.83500342989133623476e-01
+data8 0x3FE28A95CB8C6D3E             //A2 = +5.79417131000276437708e-01
+data8 0xBFEC21205D358672             //A1 = -8.79043752717008257224e-01
+data8 0x3FEDAE44D5EDFE5B             //A0 = +9.27523057776805771830e-01
+// Pol_3 
+data8 0xBCA3BCA734AC82F1             //A15 = -1.36952437983096410260e-16
+data8 0x3D16740DC3990612             //A14 = +1.99425676175410093285e-14
+data8 0xBD77F4353812C46A             //A13 = -1.36162367755616790260e-12
+data8 0x3DCFD0BE13C73DB4             //A12 = +5.78718761040355136007e-11
+data8 0xBE1D728DF71189B4             //A11 = -1.71406885583934105120e-09
+data8 0x3E64252C8CB710B5             //A10 = +3.75233795940731111303e-08
+data8 0xBEA514B93180F33D             //A9 = -6.28261292774310809962e-07
+data8 0x3EE1381118CC7151             //A8 = +8.21066421390821904504e-06
+data8 0xBF1634404FB0FA72             //A7 = -8.47019436358372148764e-05
+data8 0x3F46B2CBBCF0EB32             //A6 = +6.92700845213200923490e-04
+data8 0xBF725C2B445E6D81             //A5 = -4.48243046949004063741e-03
+data8 0x3F974E7CFA4D89D9             //A4 = +2.27603462002522228717e-02
+data8 0xBFB6D7BAC2E342D1             //A3 = -8.92292714882032736443e-02
+data8 0x3FD0D156AD9CE2A6             //A2 = +2.62777013343603696631e-01
+data8 0xBFE1C228572AADB0             //A1 = -5.54950876471982857725e-01
+data8 0x3FE8A739F48B9A3B             //A0 = +7.70413377406675619766e-01
+LOCAL_OBJECT_END(erfc_p_table)
+
+
+.section .text
+GLOBAL_LIBM_ENTRY(erfcf)
+
+// Form index i for table erfc_p_table as exponent of x 
+// We use i + bias in real calculations 
+{ .mlx
+      getf.exp       GR_IndxPlusBias = f8          // (sign + exp + bias) of x
+      movl           exp_GR_sig_inv_ln2 = 0xb8aa3b295c17f0bc //signif.of 1/ln2
+}
+{ .mlx
+      addl           EXP_AD_TB1    = @ltoff(exp_table_1), gp
+      movl           exp_GR_rshf_2to56 = 0x4768000000000000 // 1.100 2^(63+56)
+}
+;;
+
+// Form argument EXP_NORM_f8 for exp(-x^2)
+{ .mfi
+      ld8            EXP_AD_TB1    = [EXP_AD_TB1]
+      fcmp.ge.s1     p6,p7 = f8, f0                     // p6: x >= 0 ,p7: x<0
+      mov            GR_BIAS = 0x0FFFF
+}
+{ .mfi
+      mov            exp_GR_exp_2tom56 = 0xffff-56
+      fnma.s1        EXP_NORM_f8   = f8, f8, f0                       //  -x^2
+      mov            GR_ExpMask  = 0x1ffff
+}
+;;
+
+// Form two constants we need
+//  1/ln2 * 2^63  to compute  w = x * 1/ln2 * 128 
+//  1.1000..000 * 2^(63+63-7) to right shift int(w) into the significand
+
+// p9:  x = 0,+inf,-inf,nan,unnorm.
+// p10: x!= 0,+inf,-inf,nan,unnorm.
+{ .mfi
+      setf.sig       EXP_INV_LN2_2TO63 = exp_GR_sig_inv_ln2 // Form 1/ln2*2^63
+      fclass.m       p9,p10 = f8,0xef       
+      shl            GR_ShftPi_bias = GR_BIAS, 7
+}
+{ .mfi
+      setf.d         EXP_RSHF_2TO56 = exp_GR_rshf_2to56 //Const 1.10*2^(63+56)
+      nop.f          0
+      and            GR_IndxPlusBias = GR_IndxPlusBias, GR_ExpMask // i + bias
+}
+;;
+
+{ .mfi
+      alloc          r32 = ar.pfs, 0, 15, 4, 0
+(p6)  fma.s1         FR_AbsArg = f1, f0, f8                  // |x| if x >= 0
+      cmp.lt         p15,p0 = GR_IndxPlusBias, GR_BIAS//p15: i < 0 (for |x|<1)
+}
+{ .mlx
+      setf.exp       EXP_2TOM56 = exp_GR_exp_2tom56 //2^-56 for scaling Nfloat
+      movl           exp_GR_rshf = 0x43e8000000000000 //1.10 2^63,right shift.
+}
+;;
+
+{ .mfi
+      ldfps          FR_POS_ARG_ASYMP, FR_NEG_ARG_ASYMP = [EXP_AD_TB1],8
+      nop.f          0
+(p15) mov            GR_IndxPlusBias = GR_BIAS            //Let i = 0 if i < 0
+}
+{ .mlx
+      mov            GR_P_POINT_3 = 0x1A0
+      movl           GR_05 = 0x3fe0000000000000
+}
+;;
+
+// Form shift GR_ShftPi from the beginning of erfc_p_table 
+// to the polynomial with number i
+{ .mfi
+      ldfps          FR_UnfBound, FR_EpsNorm = [EXP_AD_TB1],8
+      nop.f          0
+      shl            GR_ShftPi = GR_IndxPlusBias, 7
+}
+{ .mfi
+      setf.d         EXP_RSHF = exp_GR_rshf   // Form right shift 1.100 * 2^63
+(p7)  fms.s1         FR_AbsArg = f1, f0, f8                   // |x|  if x < 0
+      mov            exp_TB1_size  = 0x100 
+}
+;;
+
+// Form pointer GR_P_POINT_3 to the beginning of erfc_p_table 
+{ .mfi
+      setf.d         FR_05 = GR_05
+      nop.f          0
+      sub            GR_ShftPi = GR_ShftPi,GR_ShftPi_bias
+}
+{ .mfb
+      add            GR_P_POINT_3 = GR_P_POINT_3, EXP_AD_TB1
+      nop.f          0
+(p9)  br.cond.spnt   SPECIAL                  // For x = 0,+inf,-inf,nan,unnorm
+}
+;;
+
+{ .mfi
+      add            GR_P_POINT_1 = GR_P_POINT_3, GR_ShftPi
+      nop.f          0
+      add            GR_P_POINT_2 = GR_P_POINT_3, GR_ShftPi
+}
+{ .mfi
+      ldfe           exp_ln2_by_128_hi  = [EXP_AD_TB1],16 
+      fma.s1         FR_NormX = f8,f1,f0
+      add            GR_P_POINT_3 = GR_P_POINT_3, GR_ShftPi
+}
+;;
+
+// Load coefficients for polynomial P15(x)
+{ .mfi
+      ldfpd          FR_A15, FR_A14 = [GR_P_POINT_1], 16
+      nop.f          0      
+      add            GR_P_POINT_3 = 0x30, GR_P_POINT_3
+}
+{ .mfi
+      ldfe           exp_ln2_by_128_lo  = [EXP_AD_TB1], 16
+      nop.f          0      
+      add            GR_P_POINT_2 = 0x20, GR_P_POINT_2 
+}
+;;
+
+// Now EXP_AD_TB1 points to the beginning of table 1
+{ .mlx
+      ldfpd          FR_A13, FR_A12 = [GR_P_POINT_1] 
+      movl           GR_1_by_6 = 0x3FC5555555555555
+}
+{ .mfi
+      add            GR_P_POINT_4 = 0x30, GR_P_POINT_2
+      nop.f          0
+      nop.i          0
+}
+;;
+
+{ .mfi
+      ldfpd          FR_A11, FR_A10 = [GR_P_POINT_2]
+      fma.s1         FR_2 = f1, f1, f1
+      mov            exp_TB2_size  = 0x80
+}
+{ .mfi
+      ldfpd          FR_A9, FR_A8 = [GR_P_POINT_3],16
+      nop.f          0
+      add            GR_P_POINT_1 = 0x60 ,GR_P_POINT_1
+}
+;;
+
+// W = X * Inv_log2_by_128
+// By adding 1.10...0*2^63 we shift and get round_int(W) in significand.
+// We actually add 1.10...0*2^56 to X * Inv_log2 to do the same thing.
+{ .mfi
+      ldfpd          FR_A7, FR_A6 = [GR_P_POINT_3] 
+      fma.s1     EXP_W_2TO56_RSH = EXP_NORM_f8,EXP_INV_LN2_2TO63,EXP_RSHF_2TO56
+      add            EXP_AD_TB2 = exp_TB1_size, EXP_AD_TB1
+      
+}
+{ .mfi
+      ldfpd          FR_A5, FR_A4 = [GR_P_POINT_4], 16
+      nop.f          0
+      nop.i          0
+}
+;;
+
+{ .mfi
+      ldfpd          FR_A3, FR_A2 = [GR_P_POINT_4]
+      fmerge.s       FR_X = f8,f8
+      nop.i          0
+}
+{ .mfi 
+      ldfpd          FR_A1, FR_A0 = [GR_P_POINT_1]
+      nop.f          0
+      nop.i          0
+}
+;;
+
+//p14: x < - NEG_ARG_ASYMP = -4.4 -> erfcf(x) ~=~ 2.0
+{ .mfi
+      setf.d         FR_1_by_6  = GR_1_by_6
+(p7)  fcmp.gt.unc.s1 p14,p0 = FR_AbsArg, FR_NEG_ARG_ASYMP          //p7: x < 0
+      nop.i          0
+}
+;;
+
+//p15: x > POS_ARG_ASYMP = 10.06 -> erfcf(x) ~=~ 0.0
+{ .mfi
+      nop.m          0
+(p6)  fcmp.gt.unc.s1 p15,p0 = FR_AbsArg, FR_POS_ARG_ASYMP          //p6: x > 0
+      nop.i          0
+}                       
+;;
+
+{ .mfi
+      nop.m          0
+      fcmp.le.s1     p8,p0 = FR_NormX, FR_UnfBound        // p8: x <= UnfBound
+      nop.i          0
+}
+{ .mfb
+      nop.m          0
+(p14) fnma.s.s0      FR_RESULT = FR_EpsNorm, FR_EpsNorm, FR_2//y = 2 if x <-4.4
+(p14) br.ret.spnt    b0
+}
+;;
+
+// Nfloat = round_int(W) 
+// The signficand of EXP_W_2TO56_RSH contains the rounded integer part of W,
+// as a twos complement number in the lower bits (that is, it may be negative).
+// That twos complement number (called N) is put into exp_GR_N.
+
+// Since EXP_W_2TO56_RSH is scaled by 2^56, it must be multiplied by 2^-56
+// before the shift constant 1.10000 * 2^63 is subtracted to yield EXP_Nfloat.
+// Thus, EXP_Nfloat contains the floating point version of N
+
+{ .mfi
+      nop.m          0
+      fms.s1         EXP_Nfloat = EXP_W_2TO56_RSH, EXP_2TOM56, EXP_RSHF
+      nop.i          0
+} 
+{ .mfb
+(p15) mov            GR_Parameter_TAG = 209
+(p15) fma.s.s0       FR_RESULT = FR_EpsNorm,FR_EpsNorm,f0 //Result.for x>10.06
+(p15) br.cond.spnt   __libm_error_region
+}                   
+;;
+
+// Now we can calculate polynomial P15(x)
+{ .mfi
+      nop.m          0
+      fma.s1         FR_P15_1_1 = FR_AbsArg, FR_AbsArg, f0             // x ^2
+      nop.i          0
+}
+{ .mfi
+      nop.m          0
+      fma.s1         FR_P15_0_1 = FR_A15, FR_AbsArg, FR_A14
+      nop.i          0
+}
+;;
+
+{ .mfi
+      nop.m          0
+      fma.s1         FR_P15_1_2 = FR_A13, FR_AbsArg, FR_A12 
+      nop.i          0 
+}
+;;
+
+{ .mfi
+      getf.sig       exp_GR_N        = EXP_W_2TO56_RSH 
+      fma.s1         FR_P15_2_1 = FR_A9, FR_AbsArg, FR_A8 
+      nop.i          0 
+}
+{ .mfi
+      nop.m          0
+      fma.s1         FR_P15_2_2 = FR_A11, FR_AbsArg, FR_A10 
+      nop.i          0
+}
+;;
+
+{ .mfi
+      nop.m          0
+      fma.s1         FR_P15_3_1 = FR_A5, FR_AbsArg, FR_A4
+      nop.i          0                   
+}
+{ .mfi
+      nop.m          0
+      fma.s1         FR_P15_3_2 = FR_A7, FR_AbsArg, FR_A6
+      nop.i          0
+}
+;;
+
+// exp_GR_index_1 has index_1
+// exp_GR_index_2_16 has index_2 * 16
+// exp_GR_biased_M has M
+// exp_GR_index_1_16 has index_1 * 16
+
+// r2 has true M
+{ .mfi
+      and            exp_GR_index_1 = 0x0f, exp_GR_N
+      fma.s1         FR_P15_4_1 = FR_A1, FR_AbsArg, FR_A0
+      shr            r2 = exp_GR_N,  0x7
+       
+}
+{ .mfi
+      and            exp_GR_index_2_16 = 0x70, exp_GR_N
+      fma.s1         FR_P15_4_2 = FR_A3, FR_AbsArg, FR_A2
+      nop.i          0
+}
+;;
+
+// EXP_AD_T1 has address of T1                           
+// EXP_AD_T2 has address if T2                            
+
+{ .mfi
+      add            EXP_AD_T2 = EXP_AD_TB2, exp_GR_index_2_16
+      nop.f          0                      
+      shladd         EXP_AD_T1 = exp_GR_index_1, 4, EXP_AD_TB1
+}
+{ .mfi
+      addl           exp_GR_biased_M = 0xffff, r2
+      fnma.s1        exp_r   = EXP_Nfloat, exp_ln2_by_128_hi, EXP_NORM_f8
+      nop.i          0
+}
+;;
+
+// Create Scale = 2^M
+// r = x - Nfloat * ln2_by_128_hi 
+ 
+{ .mfi
+      setf.exp       EXP_2M = exp_GR_biased_M
+      fma.s1         FR_P15_7_1 = FR_P15_0_1, FR_P15_1_1, FR_P15_1_2
+      nop.i          0
+}
+{ .mfi
+      ldfe           exp_T2  = [EXP_AD_T2]      
+      nop.f          0
+      nop.i          0
+}
+;;
+
+// Load T1 and T2
+
+{ .mfi
+      ldfe           exp_T1  = [EXP_AD_T1]
+      fma.s1         FR_P15_7_2 = FR_P15_1_1, FR_P15_1_1, f0            // x^4
+      nop.i          0
+}
+{ .mfi
+      nop.m          0
+      fma.s1         FR_P15_8_1 = FR_P15_1_1, FR_P15_2_2, FR_P15_2_1 
+      nop.i          0
+}
+;;
+
+{ .mfi
+      nop.m          0
+      fma.s1         FR_P15_9_1 = FR_P15_1_1, FR_P15_4_2, FR_P15_4_1 
+      nop.i          0
+}
+{ .mfi
+      nop.m          0
+      fma.s1         FR_P15_9_2 = FR_P15_1_1, FR_P15_3_2, FR_P15_3_1 
+      nop.i          0
+}
+;;
+
+{ .mfi
+      nop.m          0
+      fma.s1         exp_P = FR_1_by_6, exp_r, FR_05 
+      nop.i          0
+}
+{ .mfi
+      nop.m          0
+      fma.s1         exp_rsq = exp_r, exp_r, f0 
+      nop.i          0
+}
+;;
+
+{ .mfi
+      nop.m          0
+      fma.s1         FR_P15_13_1 = FR_P15_7_2, FR_P15_7_1, FR_P15_8_1 
+      nop.i          0
+}
+;;
+
+{ .mfi
+      nop.m          0
+      fma.s1         FR_P15_14_1 = FR_P15_7_2, FR_P15_9_2, FR_P15_9_1 
+      nop.i          0
+}
+{ .mfi
+      nop.m          0
+      fma.s1         FR_P15_14_2 = FR_P15_7_2, FR_P15_7_2, f0           // x^8
+      nop.i          0
+}
+;;
+
+{ .mfi
+      nop.m          0
+      fma.s1         exp_P     = exp_P, exp_rsq, exp_r
+      nop.i          0
+}
+{ .mfi
+      nop.m          0
+      fma.s1         exp_S1  = EXP_2M, exp_T2, f0   
+      nop.i          0
+}
+;;
+
+{ .mfi
+      nop.m          0
+      fma.s1         FR_Pol = FR_P15_14_2, FR_P15_13_1, FR_P15_14_1  // P15(x)
+      nop.i          0
+}
+;;
+
+{ .mfi
+      nop.m          0
+      fma.s1         exp_S   = exp_S1, exp_T1, f0
+      nop.i          0
+}
+;;
+
+{ .mfi
+      nop.m          0
+      fma.s1         FR_Exp = exp_S, exp_P, exp_S                 // exp(-x^2)
+      nop.i          0          
+}
+;;   
+
+{ .mfi
+      nop.m          0
+      fma.s.s0       FR_Tmpf = f8, f1, f0                          //  Flag  d
+      nop.i          0 
+}
+;;
+
+//p6: result for     0 < x < = POS_ARG_ASYMP 
+//p7: result for   - NEG_ARG_ASYMP  <= x < 0
+//p8: exit   for   - NEG_ARG_ASYMP <= x <= UnfBound, x!=0
+.pred.rel "mutex",p6,p7
+{ .mfi
+      nop.m          0
+(p6)  fma.s.s0       f8 = FR_Exp, FR_Pol, f0 
+      nop.i          0         
+}
+{ .mfb
+      mov            GR_Parameter_TAG = 209
+(p7)  fnma.s.s0      f8 = FR_Exp, FR_Pol, FR_2
+(p8)  br.ret.sptk    b0 
+}
+;;
+
+//p10: branch for  UnfBound < x < = POS_ARG_ASYMP
+{ .mfb
+      nop.m          0
+      nop.f          0
+(p10) br.cond.spnt   __libm_error_region  
+}
+;;
+
+//Only via (p9)  br.cond.spnt   SPECIAL  for x = 0,+inf,-inf,nan,unnorm
+SPECIAL:
+
+{ .mfi
+      nop.m          0
+      fclass.m.unc   p10,p0 = f8,0x07                            // p10: x = 0
+      nop.i          0
+}
+;;
+
+{ .mfi
+      nop.m          0
+      fclass.m.unc   p11,p0 = f8,0x21                         // p11: x = +inf
+      nop.i          0
+}
+;;
+
+{ .mfi
+      nop.m          0
+      fclass.m.unc   p12,p0 = f8,0x22                          // p12 x = -inf
+      nop.i          0
+}
+{ .mfb
+      nop.m          0
+(p10) fma.s.s0       f8 = f1, f1, f0
+(p10) br.ret.sptk    b0                                // Quick exit for x = 0
+}
+;;
+
+{ .mfi
+      nop.m          0
+      fclass.m.unc   p13,p0 = f8,0xc3                          // p13: x = nan
+      nop.i          0
+}
+{ .mfb
+      nop.m          0
+(p11) fma.s.s0       f8 = f0, f1, f0
+(p11) br.ret.spnt    b0                             // Quick exit for x = +inf
+}
+;;
+{ .mfi
+      nop.m          0
+      fclass.m.unc   p14,p0 = f8,0x0b                 // P14: x = unnormalized
+      nop.i          0
+}
+{ .mfb
+      nop.m          0
+(p12) fma.s.s0       f8 = f1, f1, f1
+(p12) br.ret.spnt    b0                             // Quick exit for x = -inf
+}
+;;
+
+{ .mfb
+      nop.m          0
+(p13) fma.s.s0       f8 = f8, f1, f0
+(p13) br.ret.sptk    b0                              // Quick exit for x = nan
+}
+;;
+
+{ .mfb
+      nop.m          0
+(p14) fnma.s.s0      f8 = f8, f1, f1
+(p14) br.ret.sptk    b0                     // Quick exit for x = unnormalized
+}
+;;
+
+GLOBAL_LIBM_END(erfcf)
+
+// Call via (p10) br.cond.spnt   __libm_error_region
+//          for  UnfBound < x < = POS_ARG_ASYMP 
+// and
+// 
+// call via (p15) br.cond.spnt   __libm_error_region
+//          for  x > POS_ARG_ASYMP
+
+LOCAL_LIBM_ENTRY(__libm_error_region)
+.prologue
+{ .mfi
+        add   GR_Parameter_Y=-32,sp                       // Parameter 2 value
+        nop.f 0
+.save   ar.pfs,GR_SAVE_PFS
+        mov  GR_SAVE_PFS=ar.pfs                                 // Save ar.pfs
+}
+{ .mfi
+.fframe 64 
+        add sp=-64,sp                                      // Create new stack
+        nop.f 0
+        mov GR_SAVE_GP=gp                                           // Save gp
+};;
+{ .mmi
+        stfs [GR_Parameter_Y] = FR_Y,16          // STORE Parameter 2 on stack
+        add GR_Parameter_X = 16,sp                      // Parameter 1 address
+.save   b0, GR_SAVE_B0                      
+        mov GR_SAVE_B0=b0                                           // Save b0
+};;
+.body
+{ .mib
+        stfs [GR_Parameter_X] = FR_X             // STORE Parameter 1 on stack
+        add   GR_Parameter_RESULT = 0,GR_Parameter_Y    // Parameter 3 address
+        nop.b 0                                      
+}
+{ .mib
+        stfs [GR_Parameter_Y] = FR_RESULT        // STORE Parameter 3 on stack
+        add   GR_Parameter_Y = -16,GR_Parameter_Y  
+        br.call.sptk b0=__libm_error_support#  // Call error handling function
+};;
+{ .mmi
+        nop.m 0
+        nop.m 0
+        add   GR_Parameter_RESULT = 48,sp
+};;
+{ .mmi
+        ldfs  f8 = [GR_Parameter_RESULT]        // Get return result off stack
+.restore sp
+        add   sp = 64,sp                              // Restore stack pointer
+        mov   b0 = GR_SAVE_B0                        // Restore return address
+};;
+{ .mib
+        mov   gp = GR_SAVE_GP                                    // Restore gp
+        mov   ar.pfs = GR_SAVE_PFS                           // Restore ar.pfs
+        br.ret.sptk     b0                                           // Return
+};; 
+
+LOCAL_LIBM_END(__libm_error_region)
+.type   __libm_error_support#,@function
+.global __libm_error_support#
+
+
+
diff --git a/sysdeps/ia64/fpu/s_erfcl.S b/sysdeps/ia64/fpu/s_erfcl.S
new file mode 100644
index 0000000000..f06e26f59f
--- /dev/null
+++ b/sysdeps/ia64/fpu/s_erfcl.S
@@ -0,0 +1,2064 @@
+.file "erfcl.s"
+
+
+// Copyright (c) 2001 - 2003, Intel Corporation
+// All rights reserved.
+//
+// Contributed 2001 by the Intel Numerics Group, Intel Corporation
+//
+// Redistribution and use in source and binary forms, with or without
+// modification, are permitted provided that the following conditions are
+// met:
+//
+// * Redistributions of source code must retain the above copyright
+// notice, this list of conditions and the following disclaimer.
+//
+// * Redistributions in binary form must reproduce the above copyright
+// notice, this list of conditions and the following disclaimer in the
+// documentation and/or other materials provided with the distribution.
+//
+// * The name of Intel Corporation may not be used to endorse or promote
+// products derived from this software without specific prior written
+// permission.
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
+// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS 
+// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, 
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY 
+// OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 
+// 
+// Intel Corporation is the author of this code, and requests that all
+// problem reports or change requests be submitted to it directly at 
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
+//
+// History
+//==============================================================
+// 11/12/01  Initial version
+// 02/08/02  Added missing }
+// 05/20/02  Cleaned up namespace and sf0 syntax
+// 02/10/03  Reordered header: .section, .global, .proc, .align;
+//           used data8 for long double table values
+//
+// API
+//==============================================================
+// long double erfcl(long double)
+//
+// Implementation and Algorithm Notes:
+//==============================================================
+// 1. 0 <= x <= 107.0
+//    
+//    erfcl(x) ~=~ P15(z) * expl( -x^2 )/(dx + x), z = x - xc(i).
+//
+//    Comment:
+//
+//    Let x(i) = -1.0 + 2^(i/4),i=0,...27. So we have 28 unequal
+//    argument intervals [x(i),x(i+1)] with length ratio q = 2^(1/4).
+//    Values xc(i) we have in the table erfc_xc_table,xc(i)=x(i)for i = 0
+//    and xc(i)= 0.5*( x(i)+x(i+1) ) for i>0.
+// 
+//    Let x(i)<= x < x(i+1).
+//    We can find i as exponent of number (x + 1)^4.
+// 
+//    Let P15(z)= a0+ a1*z +..+a15*z^15 - polynomial approximation of degree 15
+//    for function      erfcl(z+xc(i)) * expl( (z+xc(i))^2)* (dx+z+xc(i)) and 
+//    -0.5*[x(i+1)-x(i)] <= z <= 0.5*[x(i+1)-x(i)].
+//
+//    Let  Q(z)= (P(z)- S)/S, S = a0, rounded to 16 bits.
+//    Polynomial coeffitients for Q(z) we have in the table erfc_Q_table as
+//    long double values
+//
+//    We use multi precision to calculate input argument -x^2 for expl and 
+//    for u = 1/(dx + x). 
+//
+//    Algorithm description for expl function see below. In accordance with
+//    denotation of this algorithm we have for expl:
+//
+//    expl(X) ~=~ 2^K*T_1*(1+W_1)*T_2*(1+W_2)*(1+ poly(r)), X = -x^2. 
+//
+//    Final calculations for erfcl:
+// 
+//    erfcl(x) ~=~
+//
+//         2^K*T_1*(1+W_1)*T_2*(1+W_2)*(1+ poly(r))*(1-dy)*S*(1+Q(z))*u*(1+du),
+//
+//    where dy - low bits of x^2 and u, u*du - hi and low bits of 1/(dx + x).
+//
+//    The order of calculations is the next:
+//
+//    1)  M = 2^K*T_1*T_2*S          without rounding error,
+//    2)  W = W_1 + (W_2 + W_1*W_2), where 1+W  ~=~ (1+W_1)(1+W_2),
+//    3)  H = W - dy,                where 1+H  ~=~ (1+W )(1-dy),
+//    4)  R = poly(r)*H + poly(r),    
+//    5)  R = H + R              ,   where 1+R  ~=~ (1+H )(1+poly(r)),
+//    6)  G = Q(z)*R + Q(z),
+//    7)  R1 = R + du,               where 1+R1 ~=~ (1+R)(1+du),
+//    8)  G1 = R1 + G,               where 1+G1 ~=~ (1+R1)(1+Q(z)),
+//    9)  V  = G1*M*u,
+//    10) erfcl(x) ~=~ M*u + V     
+//                     
+// 2. -6.5 <= x < 0
+//
+//    erfcl(x)  = 2.0 - erfl(-x)
+//
+// 3. x > 107.0
+//    erfcl(x)  ~=~ 0.0                      
+//
+// 4. x < -6.5            
+//    erfcl(x)  ~=~ 2.0                      
+
+// Special values 
+//==============================================================
+// erfcl(+0)    = 1.0
+// erfcl(-0)    = 1.0
+
+// erfcl(+qnan) = +qnan 
+// erfcl(-qnan) = -qnan 
+// erfcl(+snan) = +qnan 
+// erfcl(-snan) = -qnan 
+
+// erfcl(-inf)  = 2.0 
+// erfcl(+inf)  = +0
+
+//==============================================================
+// Algorithm description of used expl function.
+//
+// Implementation and Algorithm Notes:
+//
+//  ker_exp_64( in_FR  : X,
+//            out_FR : Y_hi,
+//            out_FR : Y_lo,
+//            out_FR : scale,
+//            out_PR : Safe )
+//
+// On input, X is in register format
+//
+// On output, 
+//
+//   scale*(Y_hi + Y_lo)  approximates  exp(X)
+//
+// The accuracy is sufficient for a highly accurate 64 sig.
+// bit implementation.  Safe is set if there is no danger of 
+// overflow/underflow when the result is composed from scale, 
+// Y_hi and Y_lo. Thus, we can have a fast return if Safe is set. 
+// Otherwise, one must prepare to handle the possible exception 
+// appropriately.  Note that SAFE not set (false) does not mean 
+// that overflow/underflow will occur; only the setting of SAFE
+// guarantees the opposite.
+//
+// **** High Level Overview **** 
+//
+// The method consists of three cases.
+// 
+// If           |X| < Tiny  use case exp_tiny;
+// else if  |X| < 2^(-6)    use case exp_small;
+// else     use case exp_regular;
+//
+// Case exp_tiny:
+//
+//   1 + X     can be used to approximate exp(X) 
+//   X + X^2/2 can be used to approximate exp(X) - 1
+//
+// Case exp_small:
+//
+//   Here, exp(X) and exp(X) - 1 can all be 
+//   appproximated by a relatively simple polynomial.
+//
+//   This polynomial resembles the truncated Taylor series
+//
+//  exp(w) = 1 + w + w^2/2! + w^3/3! + ... + w^n/n!
+//
+// Case exp_regular:
+//
+//   Here we use a table lookup method. The basic idea is that in
+//   order to compute exp(X), we accurately decompose X into
+//
+//   X = N * log(2)/(2^12)  + r,    |r| <= log(2)/2^13.
+//
+//   Hence
+//
+//   exp(X) = 2^( N / 2^12 ) * exp(r).
+//
+//   The value 2^( N / 2^12 ) is obtained by simple combinations
+//   of values calculated beforehand and stored in table; exp(r)
+//   is approximated by a short polynomial because |r| is small.
+//
+//   We elaborate this method in 4 steps.
+//
+//   Step 1: Reduction
+//
+//   The value 2^12/log(2) is stored as a double-extended number
+//   L_Inv.
+//
+//   N := round_to_nearest_integer( X * L_Inv )
+//
+//   The value log(2)/2^12 is stored as two numbers L_hi and L_lo so
+//   that r can be computed accurately via
+//
+//   r := (X - N*L_hi) - N*L_lo
+//
+//   We pick L_hi such that N*L_hi is representable in 64 sig. bits
+//   and thus the FMA   X - N*L_hi   is error free. So r is the 
+//   1 rounding error from an exact reduction with respect to 
+//   
+//   L_hi + L_lo.
+//
+//   In particular, L_hi has 30 significant bit and can be stored
+//   as a double-precision number; L_lo has 64 significant bits and
+//   stored as a double-extended number.
+//
+//   Step 2: Approximation
+//
+//   exp(r) - 1 is approximated by a short polynomial of the form
+//   
+//   r + A_1 r^2 + A_2 r^3 + A_3 r^4 .
+//
+//   Step 3: Composition from Table Values 
+//
+//   The value 2^( N / 2^12 ) can be composed from a couple of tables
+//   of precalculated values. First, express N as three integers
+//   K, M_1, and M_2 as
+//
+//     N  =  K * 2^12  + M_1 * 2^6 + M_2
+//
+//   Where 0 <= M_1, M_2 < 2^6; and K can be positive or negative.
+//   When N is represented in 2's complement, M_2 is simply the 6
+//   lsb's, M_1 is the next 6, and K is simply N shifted right
+//   arithmetically (sign extended) by 12 bits.
+//
+//   Now, 2^( N / 2^12 ) is simply  
+//  
+//      2^K * 2^( M_1 / 2^6 ) * 2^( M_2 / 2^12 )
+//
+//   Clearly, 2^K needs no tabulation. The other two values are less
+//   trivial because if we store each accurately to more than working
+//   precision, than its product is too expensive to calculate. We
+//   use the following method.
+//
+//   Define two mathematical values, delta_1 and delta_2, implicitly
+//   such that
+//
+//     T_1 = exp( [M_1 log(2)/2^6]  -  delta_1 ) 
+//     T_2 = exp( [M_2 log(2)/2^12] -  delta_2 )
+//
+//   are representable as 24 significant bits. To illustrate the idea,
+//   we show how we define delta_1: 
+//
+//     T_1     := round_to_24_bits( exp( M_1 log(2)/2^6 ) )
+//     delta_1  = (M_1 log(2)/2^6) - log( T_1 )  
+//
+//   The last equality means mathematical equality. We then tabulate
+//
+//     W_1 := exp(delta_1) - 1
+//     W_2 := exp(delta_2) - 1
+//
+//   Both in double precision.
+//
+//   From the tabulated values T_1, T_2, W_1, W_2, we compose the values
+//   T and W via
+//
+//     T := T_1 * T_2           ...exactly
+//     W := W_1 + (1 + W_1)*W_2 
+//
+//   W approximates exp( delta ) - 1  where delta = delta_1 + delta_2.
+//   The mathematical product of T and (W+1) is an accurate representation
+//   of 2^(M_1/2^6) * 2^(M_2/2^12).
+//
+//   Step 4. Reconstruction
+//
+//   Finally, we can reconstruct exp(X), exp(X) - 1. 
+//   Because
+//
+//  X = K * log(2) + (M_1*log(2)/2^6  - delta_1) 
+//             + (M_2*log(2)/2^12 - delta_2)
+//             + delta_1 + delta_2 + r      ...accurately
+//   We have
+//
+//  exp(X) ~=~ 2^K * ( T + T*[exp(delta_1+delta_2+r) - 1] )
+//         ~=~ 2^K * ( T + T*[exp(delta + r) - 1]         )
+//         ~=~ 2^K * ( T + T*[(exp(delta)-1)  
+//               + exp(delta)*(exp(r)-1)]   )
+//             ~=~ 2^K * ( T + T*( W + (1+W)*poly(r) ) )
+//             ~=~ 2^K * ( Y_hi  +  Y_lo )
+//
+//   where Y_hi = T  and Y_lo = T*(W + (1+W)*poly(r))
+//
+//   For exp(X)-1, we have
+//
+//  exp(X)-1 ~=~ 2^K * ( Y_hi + Y_lo ) - 1
+//       ~=~ 2^K * ( Y_hi + Y_lo - 2^(-K) )
+//
+//   and we combine Y_hi + Y_lo - 2^(-N)  into the form of two 
+//   numbers  Y_hi + Y_lo carefully.
+//
+//   **** Algorithm Details ****
+//
+//   A careful algorithm must be used to realize the mathematical ideas
+//   accurately. We describe each of the three cases. We assume SAFE
+//   is preset to be TRUE.
+//
+//   Case exp_tiny:
+//
+//   The important points are to ensure an accurate result under 
+//   different rounding directions and a correct setting of the SAFE 
+//   flag.
+//
+//   If expm1 is 1, then
+//      SAFE  := False  ...possibility of underflow
+//      Scale := 1.0
+//      Y_hi  := X
+//      Y_lo  := 2^(-17000)
+//   Else
+//      Scale := 1.0
+//      Y_hi  := 1.0
+//      Y_lo  := X  ...for different rounding modes
+//   Endif
+//
+//   Case exp_small:
+//
+//   Here we compute a simple polynomial. To exploit parallelism, we split
+//   the polynomial into several portions.
+//
+//   Let r = X 
+//
+//   If exp     ...i.e. exp( argument )
+//
+//      rsq := r * r; 
+//      r4  := rsq*rsq
+//      poly_lo := P_3 + r*(P_4 + r*(P_5 + r*P_6))
+//      poly_hi := r + rsq*(P_1 + r*P_2)
+//      Y_lo    := poly_hi + r4 * poly_lo
+//      Y_hi    := 1.0
+//      Scale   := 1.0
+//
+//   Else           ...i.e. exp( argument ) - 1
+//
+//      rsq := r * r
+//      r4  := rsq * rsq
+//      r6  := rsq * r4
+//      poly_lo := r6*(Q_5 + r*(Q_6 + r*Q_7))
+//      poly_hi := Q_1 + r*(Q_2 + r*(Q_3 + r*Q_4))
+//      Y_lo    := rsq*poly_hi +  poly_lo
+//      Y_hi    := X
+//      Scale   := 1.0
+//
+//   Endif
+//
+//  Case exp_regular:
+//
+//  The previous description contain enough information except the
+//  computation of poly and the final Y_hi and Y_lo in the case for
+//  exp(X)-1.
+//
+//  The computation of poly for Step 2:
+//
+//   rsq := r*r
+//   poly := r + rsq*(A_1 + r*(A_2 + r*A_3))
+//
+//  For the case exp(X) - 1, we need to incorporate 2^(-K) into
+//  Y_hi and Y_lo at the end of Step 4.
+//
+//   If K > 10 then
+//      Y_lo := Y_lo - 2^(-K)
+//   Else
+//      If K < -10 then
+//   Y_lo := Y_hi + Y_lo
+//   Y_hi := -2^(-K)
+//      Else
+//   Y_hi := Y_hi - 2^(-K)
+//      End If
+//   End If
+//
+
+// Overview of operation
+//==============================================================
+
+// Registers used
+//==============================================================
+// Floating Point registers used: 
+// f8, input
+// f9 -> f14,  f36 -> f126
+
+// General registers used: 
+// r32 -> r71 
+
+// Predicate registers used:
+// p6 -> p15
+
+// Assembly macros
+//==============================================================
+// GR for exp(X)
+GR_ad_Arg           = r33
+GR_ad_C             = r34
+GR_ERFC_S_TB        = r35
+GR_signexp_x        = r36
+GR_exp_x            = r36
+GR_exp_mask         = r37
+GR_ad_W1            = r38
+GR_ad_W2            = r39
+GR_M2               = r40
+GR_M1               = r41
+GR_K                = r42
+GR_exp_2_k          = r43
+GR_ad_T1            = r44
+GR_ad_T2            = r45
+GR_N_fix            = r46
+GR_ad_P             = r47
+GR_exp_bias         = r48
+GR_BIAS             = r48
+GR_exp_half         = r49
+GR_sig_inv_ln2      = r50
+GR_rshf_2to51       = r51
+GR_exp_2tom51       = r52
+GR_rshf             = r53
+
+// GR for erfcl(x)
+//==============================================================
+
+GR_ERFC_XC_TB       = r54
+GR_ERFC_P_TB        = r55
+GR_IndxPlusBias     = r56
+GR_P_POINT_1        = r57
+GR_P_POINT_2        = r58
+GR_AbsArg           = r59
+GR_ShftXBi          = r60
+GR_ShftPi           = r61
+GR_mBIAS            = r62
+GR_ShftPi_bias      = r63
+GR_ShftXBi_bias     = r64
+GR_ShftA14          = r65
+GR_ShftA15          = r66
+GR_EpsNorm          = r67
+GR_0x1              = r68
+GR_ShftPi_8         = r69
+GR_26PlusBias       = r70
+GR_27PlusBias       = r71
+
+// GR for __libm_support call
+//==============================================================
+GR_SAVE_B0          = r64
+GR_SAVE_PFS         = r65
+GR_SAVE_GP          = r66
+GR_SAVE_SP          = r67
+
+GR_Parameter_X      = r68
+GR_Parameter_Y      = r69
+GR_Parameter_RESULT = r70
+GR_Parameter_TAG    = r71
+
+//==============================================================
+// Floating Point Registers
+//
+FR_RSHF_2TO51       = f10
+FR_INV_LN2_2TO63    = f11
+FR_W_2TO51_RSH      = f12
+FR_2TOM51           = f13
+FR_RSHF             = f14
+
+FR_scale            = f36
+FR_float_N          = f37
+FR_N_signif         = f38
+FR_L_hi             = f39
+FR_L_lo             = f40
+FR_r                = f41
+FR_W1               = f42
+FR_T1               = f43
+FR_W2               = f44
+FR_T2               = f45
+FR_rsq              = f46
+FR_C2               = f47
+FR_C3               = f48
+FR_poly             = f49
+FR_P6               = f49
+FR_T                = f50
+FR_P5               = f50
+FR_P4               = f51
+FR_W                = f51
+FR_P3               = f52
+FR_Wp1              = f52
+FR_P2               = f53
+FR_P1               = f54
+FR_Q7               = f56
+FR_Q6               = f57
+FR_Q5               = f58
+FR_Q4               = f59
+FR_Q3               = f60
+FR_Q2               = f61
+FR_Q1               = f62
+FR_C1               = f63
+FR_A15              = f64
+FR_ch_dx            = f65
+FR_T_scale          = f66
+FR_norm_x           = f67
+FR_AbsArg           = f68
+FR_POS_ARG_ASYMP    = f69
+FR_NEG_ARG_ASYMP    = f70
+FR_Tmp              = f71
+FR_Xc               = f72
+FR_A0               = f73
+FR_A1               = f74
+FR_A2               = f75
+FR_A3               = f76
+FR_A4               = f77
+FR_A5               = f78
+FR_A6               = f79
+FR_A7               = f80
+FR_A8               = f81
+FR_A9               = f82
+FR_A10              = f83
+FR_A11              = f84
+FR_A12              = f85
+FR_A13              = f86
+FR_A14              = f87
+FR_P15_0_1          = f88
+FR_P15_8_1          = f88
+FR_P15_1_1          = f89
+FR_P15_8_2          = f89
+FR_P15_1_2          = f90
+FR_P15_2_1          = f91
+FR_P15_2_2          = f92
+FR_P15_3_1          = f93
+FR_P15_3_2          = f94
+FR_P15_4_2          = f95
+FR_P15_7_1          = f96
+FR_P15_7_2          = f97
+FR_P15_9_1          = f98
+FR_P15_9_2          = f99
+FR_P15_13_1         = f100
+FR_P15_14_1         = f101
+FR_P15_14_2         = f102
+FR_Tmp2             = f103
+FR_Xpdx_lo          = f104
+FR_2                = f105
+FR_xsq_lo           = f106
+FR_LocArg           = f107
+FR_Tmpf             = f108
+FR_Tmp1             = f109
+FR_EpsNorm          = f110
+FR_UnfBound         = f111
+FR_NormX            = f112
+FR_Xpdx_hi          = f113
+FR_dU               = f114
+FR_H                = f115
+FR_G                = f116
+FR_V                = f117
+FR_M                = f118
+FR_U                = f119
+FR_Q                = f120
+FR_S                = f121
+FR_R                = f122
+FR_res_pos_x_hi     = f123
+FR_res_pos_x_lo     = f124
+FR_dx               = f125
+FR_dx1              = f126
+
+// for error handler routine
+FR_X                = f9
+FR_Y                = f0
+FR_RESULT           = f8
+
+// Data tables
+//==============================================================
+RODATA
+.align 16
+
+// ************* DO NOT CHANGE ORDER OF THESE TABLES ********************
+LOCAL_OBJECT_START(exp_table_1)
+
+data8 0xae89f995ad3ad5ea , 0x00003ffe      // x = 0.681..,bound for dx = 0.875
+data8 0x405AC00000000000 , 0x401A000000000000        //ARG_ASYMP,NEG_ARG_ASYMP
+data8 0x3FE4000000000000 , 0x3FEC000000000000                    //0.625,0.875
+data8 0xD5126065B720A4e9 , 0x00004005                    // underflow boundary
+data8 0x8000000000000000 , 0x00000001                             //FR_EpsNorm
+LOCAL_OBJECT_END(exp_table_1)
+
+LOCAL_OBJECT_START(Constants_exp_64_Arg)
+data8 0xB17217F400000000,0x00003FF2 //L_hi = hi part log(2)/2^12
+data8 0xF473DE6AF278ECE6,0x00003FD4 //L_lo = lo part log(2)/2^12
+LOCAL_OBJECT_END(Constants_exp_64_Arg)
+
+LOCAL_OBJECT_START(Constants_exp_64_C)
+data8 0xAAAAAAABB1B736A0,0x00003FFA // C3
+data8 0xAAAAAAAB90CD6327,0x00003FFC // C2
+data8 0xFFFFFFFFFFFFFFFF,0x00003FFD // C1
+LOCAL_OBJECT_END(Constants_exp_64_C)
+
+LOCAL_OBJECT_START(Constants_exp_64_T1)
+data4 0x3F800000,0x3F8164D2,0x3F82CD87,0x3F843A29 
+data4 0x3F85AAC3,0x3F871F62,0x3F88980F,0x3F8A14D5 
+data4 0x3F8B95C2,0x3F8D1ADF,0x3F8EA43A,0x3F9031DC
+data4 0x3F91C3D3,0x3F935A2B,0x3F94F4F0,0x3F96942D
+data4 0x3F9837F0,0x3F99E046,0x3F9B8D3A,0x3F9D3EDA
+data4 0x3F9EF532,0x3FA0B051,0x3FA27043,0x3FA43516
+data4 0x3FA5FED7,0x3FA7CD94,0x3FA9A15B,0x3FAB7A3A
+data4 0x3FAD583F,0x3FAF3B79,0x3FB123F6,0x3FB311C4
+data4 0x3FB504F3,0x3FB6FD92,0x3FB8FBAF,0x3FBAFF5B
+data4 0x3FBD08A4,0x3FBF179A,0x3FC12C4D,0x3FC346CD
+data4 0x3FC5672A,0x3FC78D75,0x3FC9B9BE,0x3FCBEC15
+data4 0x3FCE248C,0x3FD06334,0x3FD2A81E,0x3FD4F35B
+data4 0x3FD744FD,0x3FD99D16,0x3FDBFBB8,0x3FDE60F5
+data4 0x3FE0CCDF,0x3FE33F89,0x3FE5B907,0x3FE8396A
+data4 0x3FEAC0C7,0x3FED4F30,0x3FEFE4BA,0x3FF28177
+data4 0x3FF5257D,0x3FF7D0DF,0x3FFA83B3,0x3FFD3E0C
+LOCAL_OBJECT_END(Constants_exp_64_T1)
+
+LOCAL_OBJECT_START(Constants_exp_64_T2)
+data4 0x3F800000,0x3F80058C,0x3F800B18,0x3F8010A4 
+data4 0x3F801630,0x3F801BBD,0x3F80214A,0x3F8026D7 
+data4 0x3F802C64,0x3F8031F2,0x3F803780,0x3F803D0E 
+data4 0x3F80429C,0x3F80482B,0x3F804DB9,0x3F805349 
+data4 0x3F8058D8,0x3F805E67,0x3F8063F7,0x3F806987 
+data4 0x3F806F17,0x3F8074A8,0x3F807A39,0x3F807FCA 
+data4 0x3F80855B,0x3F808AEC,0x3F80907E,0x3F809610 
+data4 0x3F809BA2,0x3F80A135,0x3F80A6C7,0x3F80AC5A 
+data4 0x3F80B1ED,0x3F80B781,0x3F80BD14,0x3F80C2A8 
+data4 0x3F80C83C,0x3F80CDD1,0x3F80D365,0x3F80D8FA 
+data4 0x3F80DE8F,0x3F80E425,0x3F80E9BA,0x3F80EF50 
+data4 0x3F80F4E6,0x3F80FA7C,0x3F810013,0x3F8105AA 
+data4 0x3F810B41,0x3F8110D8,0x3F81166F,0x3F811C07 
+data4 0x3F81219F,0x3F812737,0x3F812CD0,0x3F813269 
+data4 0x3F813802,0x3F813D9B,0x3F814334,0x3F8148CE 
+data4 0x3F814E68,0x3F815402,0x3F81599C,0x3F815F37
+LOCAL_OBJECT_END(Constants_exp_64_T2)
+
+LOCAL_OBJECT_START(Constants_exp_64_W1)
+data8 0x0000000000000000, 0xBE384454171EC4B4
+data8 0xBE6947414AA72766, 0xBE5D32B6D42518F8
+data8 0x3E68D96D3A319149, 0xBE68F4DA62415F36
+data8 0xBE6DDA2FC9C86A3B, 0x3E6B2E50F49228FE
+data8 0xBE49C0C21188B886, 0x3E64BFC21A4C2F1F
+data8 0xBE6A2FBB2CB98B54, 0x3E5DC5DE9A55D329
+data8 0x3E69649039A7AACE, 0x3E54728B5C66DBA5
+data8 0xBE62B0DBBA1C7D7D, 0x3E576E0409F1AF5F
+data8 0x3E6125001A0DD6A1, 0xBE66A419795FBDEF
+data8 0xBE5CDE8CE1BD41FC, 0xBE621376EA54964F
+data8 0x3E6370BE476E76EE, 0x3E390D1A3427EB92
+data8 0x3E1336DE2BF82BF8, 0xBE5FF1CBD0F7BD9E
+data8 0xBE60A3550CEB09DD, 0xBE5CA37E0980F30D
+data8 0xBE5C541B4C082D25, 0xBE5BBECA3B467D29
+data8 0xBE400D8AB9D946C5, 0xBE5E2A0807ED374A
+data8 0xBE66CB28365C8B0A, 0x3E3AAD5BD3403BCA
+data8 0x3E526055C7EA21E0, 0xBE442C75E72880D6
+data8 0x3E58B2BB85222A43, 0xBE5AAB79522C42BF
+data8 0xBE605CB4469DC2BC, 0xBE589FA7A48C40DC
+data8 0xBE51C2141AA42614, 0xBE48D087C37293F4
+data8 0x3E367A1CA2D673E0, 0xBE51BEBB114F7A38
+data8 0xBE6348E5661A4B48, 0xBDF526431D3B9962
+data8 0x3E3A3B5E35A78A53, 0xBE46C46C1CECD788
+data8 0xBE60B7EC7857D689, 0xBE594D3DD14F1AD7
+data8 0xBE4F9C304C9A8F60, 0xBE52187302DFF9D2
+data8 0xBE5E4C8855E6D68F, 0xBE62140F667F3DC4
+data8 0xBE36961B3BF88747, 0x3E602861C96EC6AA
+data8 0xBE3B5151D57FD718, 0x3E561CD0FC4A627B
+data8 0xBE3A5217CA913FEA, 0x3E40A3CC9A5D193A
+data8 0xBE5AB71310A9C312, 0x3E4FDADBC5F57719
+data8 0x3E361428DBDF59D5, 0x3E5DB5DB61B4180D
+data8 0xBE42AD5F7408D856, 0x3E2A314831B2B707
+LOCAL_OBJECT_END(Constants_exp_64_W1)
+
+LOCAL_OBJECT_START(Constants_exp_64_W2)
+data8 0x0000000000000000, 0xBE641F2537A3D7A2
+data8 0xBE68DD57AD028C40, 0xBE5C77D8F212B1B6
+data8 0x3E57878F1BA5B070, 0xBE55A36A2ECAE6FE
+data8 0xBE620608569DFA3B, 0xBE53B50EA6D300A3
+data8 0x3E5B5EF2223F8F2C, 0xBE56A0D9D6DE0DF4
+data8 0xBE64EEF3EAE28F51, 0xBE5E5AE2367EA80B
+data8 0x3E47CB1A5FCBC02D, 0xBE656BA09BDAFEB7
+data8 0x3E6E70C6805AFEE7, 0xBE6E0509A3415EBA
+data8 0xBE56856B49BFF529, 0x3E66DD3300508651
+data8 0x3E51165FC114BC13, 0x3E53333DC453290F
+data8 0x3E6A072B05539FDA, 0xBE47CD877C0A7696
+data8 0xBE668BF4EB05C6D9, 0xBE67C3E36AE86C93
+data8 0xBE533904D0B3E84B, 0x3E63E8D9556B53CE
+data8 0x3E212C8963A98DC8, 0xBE33138F032A7A22
+data8 0x3E530FA9BC584008, 0xBE6ADF82CCB93C97
+data8 0x3E5F91138370EA39, 0x3E5443A4FB6A05D8
+data8 0x3E63DACD181FEE7A, 0xBE62B29DF0F67DEC
+data8 0x3E65C4833DDE6307, 0x3E5BF030D40A24C1
+data8 0x3E658B8F14E437BE, 0xBE631C29ED98B6C7
+data8 0x3E6335D204CF7C71, 0x3E529EEDE954A79D
+data8 0x3E5D9257F64A2FB8, 0xBE6BED1B854ED06C
+data8 0x3E5096F6D71405CB, 0xBE3D4893ACB9FDF5
+data8 0xBDFEB15801B68349, 0x3E628D35C6A463B9
+data8 0xBE559725ADE45917, 0xBE68C29C042FC476
+data8 0xBE67593B01E511FA, 0xBE4A4313398801ED
+data8 0x3E699571DA7C3300, 0x3E5349BE08062A9E
+data8 0x3E5229C4755BB28E, 0x3E67E42677A1F80D
+data8 0xBE52B33F6B69C352, 0xBE6B3550084DA57F
+data8 0xBE6DB03FD1D09A20, 0xBE60CBC42161B2C1
+data8 0x3E56ED9C78A2B771, 0xBE508E319D0FA795
+data8 0xBE59482AFD1A54E9, 0xBE2A17CEB07FD23E
+data8 0x3E68BF5C17365712, 0x3E3956F9B3785569
+LOCAL_OBJECT_END(Constants_exp_64_W2)
+
+
+LOCAL_OBJECT_START(erfc_xc_table)
+
+data8 0x0000000000000000, 0x00000000 //XC[0] = +0.00000000000000000000e-01L
+data8 0x9A79C70000000000, 0x00003FFD //XC[1] = +3.01710337400436401367e-01L
+data8 0x8C49EF0000000000, 0x00003FFE //XC[2] = +5.48003137111663818359e-01L
+data8 0xD744FC0000000000, 0x00003FFE //XC[3] = +8.40896368026733398438e-01L
+data8 0x9837F00000000000, 0x00003FFF //XC[4] = +1.18920707702636718750e+00L
+data8 0xCD3CE30000000000, 0x00003FFF //XC[5] = +1.60342061519622802734e+00L
+data8 0x8624F70000000000, 0x00004000 //XC[6] = +2.09600615501403808594e+00L
+data8 0xABA27E0000000000, 0x00004000 //XC[7] = +2.68179273605346679688e+00L
+data8 0xD837F00000000000, 0x00004000 //XC[8] = +3.37841415405273437500e+00L
+data8 0x869E710000000000, 0x00004001 //XC[9] = +4.20684099197387695313e+00L
+data8 0xA624F70000000000, 0x00004001 //XC[10] = +5.19201231002807617188e+00L
+data8 0xCBA27E0000000000, 0x00004001 //XC[11] = +6.36358547210693359375e+00L
+data8 0xF837F00000000000, 0x00004001 //XC[12] = +7.75682830810546875000e+00L
+data8 0x969E710000000000, 0x00004002 //XC[13] = +9.41368198394775390625e+00L
+data8 0xB624F70000000000, 0x00004002 //XC[14] = +1.13840246200561523438e+01L
+data8 0xDBA27E0000000000, 0x00004002 //XC[15] = +1.37271709442138671875e+01L
+data8 0x841BF80000000000, 0x00004003 //XC[16] = +1.65136566162109375000e+01L
+data8 0x9E9E710000000000, 0x00004003 //XC[17] = +1.98273639678955078125e+01L
+data8 0xBE24F70000000000, 0x00004003 //XC[18] = +2.37680492401123046875e+01L
+data8 0xE3A27E0000000000, 0x00004003 //XC[19] = +2.84543418884277343750e+01L
+data8 0x881BF80000000000, 0x00004004 //XC[20] = +3.40273132324218750000e+01L
+data8 0xA29E710000000000, 0x00004004 //XC[21] = +4.06547279357910156250e+01L
+data8 0xC224F70000000000, 0x00004004 //XC[22] = +4.85360984802246093750e+01L
+data8 0xE7A27E0000000000, 0x00004004 //XC[23] = +5.79086837768554687500e+01L
+data8 0x8A1BF80000000000, 0x00004005 //XC[24] = +6.90546264648437500000e+01L
+data8 0xA49E710000000000, 0x00004005 //XC[25] = +8.23094558715820312500e+01L
+data8 0xC424F70000000000, 0x00004005 //XC[26] = +9.80721969604492187500e+01L
+data8 0xD5A27E0000000000, 0x00004005 //XC[27] = +1.06817367553710937500e+02L
+LOCAL_OBJECT_END(erfc_xc_table)
+
+LOCAL_OBJECT_START(erfc_s_table)
+
+data8 0xE000000000000000, 0x00003FFE //s[0] = +8.75000000000000000000e-01L
+data8 0xDCEF000000000000, 0x00003FFE //s[1] = +8.63021850585937500000e-01L
+data8 0xD79D000000000000, 0x00003FFE //s[2] = +8.42239379882812500000e-01L
+data8 0xB25E000000000000, 0x00003FFE //s[3] = +6.96746826171875000000e-01L
+data8 0xB0EA000000000000, 0x00003FFE //s[4] = +6.91070556640625000000e-01L
+data8 0xAE3F000000000000, 0x00003FFE //s[5] = +6.80648803710937500000e-01L
+data8 0xAB05000000000000, 0x00003FFE //s[6] = +6.68045043945312500000e-01L
+data8 0xA7AC000000000000, 0x00003FFE //s[7] = +6.54968261718750000000e-01L
+data8 0xA478000000000000, 0x00003FFE //s[8] = +6.42456054687500000000e-01L
+data8 0xA18D000000000000, 0x00003FFE //s[9] = +6.31057739257812500000e-01L
+data8 0x9EF8000000000000, 0x00003FFE //s[10] = +6.20971679687500000000e-01L
+data8 0x9CBA000000000000, 0x00003FFE //s[11] = +6.12213134765625000000e-01L
+data8 0x9ACD000000000000, 0x00003FFE //s[12] = +6.04690551757812500000e-01L
+data8 0x992A000000000000, 0x00003FFE //s[13] = +5.98297119140625000000e-01L
+data8 0x97C7000000000000, 0x00003FFE //s[14] = +5.92880249023437500000e-01L
+data8 0x969C000000000000, 0x00003FFE //s[15] = +5.88317871093750000000e-01L
+data8 0x95A0000000000000, 0x00003FFE //s[16] = +5.84472656250000000000e-01L
+data8 0x94CB000000000000, 0x00003FFE //s[17] = +5.81222534179687500000e-01L
+data8 0x9419000000000000, 0x00003FFE //s[18] = +5.78506469726562500000e-01L
+data8 0x9383000000000000, 0x00003FFE //s[19] = +5.76217651367187500000e-01L
+data8 0x9305000000000000, 0x00003FFE //s[20] = +5.74295043945312500000e-01L
+data8 0x929B000000000000, 0x00003FFE //s[21] = +5.72677612304687500000e-01L
+data8 0x9242000000000000, 0x00003FFE //s[22] = +5.71319580078125000000e-01L
+data8 0x91F8000000000000, 0x00003FFE //s[23] = +5.70190429687500000000e-01L
+data8 0x91B9000000000000, 0x00003FFE //s[24] = +5.69229125976562500000e-01L
+data8 0x9184000000000000, 0x00003FFE //s[25] = +5.68420410156250000000e-01L
+data8 0x9158000000000000, 0x00003FFE //s[26] = +5.67749023437500000000e-01L
+data8 0x9145000000000000, 0x00003FFE //s[27] = +5.67459106445312500000e-01L
+LOCAL_OBJECT_END(erfc_s_table)
+
+LOCAL_OBJECT_START(erfc_Q_table)
+// Q(z)= (P(z)- S)/S
+
+// Pol0 
+data8 0x98325D50F9DC3499, 0x0000BFAA //A0 = +3.07358861423101280650e-26L
+data8 0xED35081A2494DDD9, 0x00003FF8 //A1 = +1.44779757616302832466e-02L
+data8 0x9443549BCD0F94CE, 0x0000BFFD //A2 = -2.89576190966300084405e-01L
+data8 0xC7FD4B98ECF3DBBF, 0x00003FFD //A3 = +3.90604364793467799170e-01L
+data8 0xB82CE31288B49759, 0x0000BFFD //A4 = -3.59717460644199233866e-01L
+data8 0x8A8293447BEF69B5, 0x00003FFD //A5 = +2.70527460203054582368e-01L
+data8 0xB5793E30EE36766C, 0x0000BFFC //A6 = -1.77220317589265674647e-01L
+data8 0xD6066D16BBDECE17, 0x00003FFB //A7 = +1.04504444366724593714e-01L
+data8 0xE7C783CE3C997BD8, 0x0000BFFA //A8 = -5.65867565781331646771e-02L
+data8 0xE9969EBC2F5B2828, 0x00003FF9 //A9 = +2.85142040533900194955e-02L
+data8 0xDD31D619F29AD7BF, 0x0000BFF8 //A10 = -1.35006514390540367929e-02L
+data8 0xC63A20EB59768F3A, 0x00003FF7 //A11 = +6.04940993680332271481e-03L
+data8 0xA8DEC641AACEB600, 0x0000BFF6 //A12 = -2.57675495383156581601e-03L
+data8 0x87F0E77BA914FBEB, 0x00003FF5 //A13 = +1.03714776726541296794e-03L
+data8 0xC306C2894C5CEF2D, 0x0000BFF3 //A14 = -3.71983348634136412407e-04L
+data8 0xBDAB416A989D0697, 0x00003FF1 //A15 = +9.04412111877987292294e-05L
+// Pol1 
+data8 0x82808893DA2DD83F, 0x00003FEE //A0 = +7.77853035974467145290e-06L
+data8 0xAE9CD9DCADC86113, 0x0000BFFB //A1 = -8.52601070853077921197e-02L
+data8 0x9D429743E312AD9F, 0x0000BFFB //A2 = -7.67871682732076080494e-02L
+data8 0x8637FC533AE805DC, 0x00003FFC //A3 = +1.31072943286859831330e-01L
+data8 0xF68DBE3639ABCB6E, 0x0000BFFB //A4 = -1.20387540845703264588e-01L
+data8 0xB168FFC3CFA71256, 0x00003FFB //A5 = +8.66260511047190247534e-02L
+data8 0xDBC5078A7EA89236, 0x0000BFFA //A6 = -5.36546988077281230848e-02L
+data8 0xF4331FEDB2CB838F, 0x00003FF9 //A7 = +2.98095344165515989564e-02L
+data8 0xF909173C0E61C25D, 0x0000BFF8 //A8 = -1.51999213123642373375e-02L
+data8 0xEC83560A2ACB23E9, 0x00003FF7 //A9 = +7.21780491979582106904e-03L
+data8 0xD350D62C4FEAD8F5, 0x0000BFF6 //A10 = -3.22442272982896360044e-03L
+data8 0xB2F44F4B3FD9B826, 0x00003FF5 //A11 = +1.36531322425499451283e-03L
+data8 0x9078BC61927671C6, 0x0000BFF4 //A12 = -5.51115510818844954547e-04L
+data8 0xDF67AC6287A63B03, 0x00003FF2 //A13 = +2.13055585989529858265e-04L
+data8 0xA719CFEE67FCE1CE, 0x0000BFF1 //A14 = -7.96798844477905965933e-05L
+data8 0xEF926367BABBB029, 0x00003FEF //A15 = +2.85591875675765038065e-05L
+// Pol2 
+data8 0x82B5E5A93B059C50, 0x00003FEF //A0 = +1.55819100856330860049e-05L
+data8 0xDC856BC2542B1938, 0x0000BFFB //A1 = -1.07676355235999875911e-01L
+data8 0xDF225EF5694F14AE, 0x0000BFF8 //A2 = -1.36190345125628043277e-02L
+data8 0xDAF66A954ED22428, 0x00003FFA //A3 = +5.34576571853233908886e-02L
+data8 0xD28AE4F21A392EC6, 0x0000BFFA //A4 = -5.14019911949062230820e-02L
+data8 0x9441A95713F0DB5B, 0x00003FFA //A5 = +3.61954321717769771045e-02L
+data8 0xB0957B5C483C7A04, 0x0000BFF9 //A6 = -2.15556535133667988704e-02L
+data8 0xBB9260E812814F71, 0x00003FF8 //A7 = +1.14484735825400480057e-02L
+data8 0xB68AB17287ABAB04, 0x0000BFF7 //A8 = -5.57073273108465072470e-03L
+data8 0xA56A95E0BC0EF01B, 0x00003FF6 //A9 = +2.52405318381952650677e-03L
+data8 0x8D19C7D286839C00, 0x0000BFF5 //A10 = -1.07651294935087466892e-03L
+data8 0xE45DB3766711A0D3, 0x00003FF3 //A11 = +4.35573615323234291196e-04L
+data8 0xB05949F947FA7AEF, 0x0000BFF2 //A12 = -1.68179306983868501372e-04L
+data8 0x82901D055A0D5CB6, 0x00003FF1 //A13 = +6.22572626227726684168e-05L
+data8 0xBB957698542D6FD0, 0x0000BFEF //A14 = -2.23617364009159182821e-05L
+data8 0x810740E1DF572394, 0x00003FEE //A15 = +7.69068800065192940487e-06L
+// Pol3 
+data8 0x9526D1C87655AFA8, 0x00003FEC //A0 = +2.22253260814242012255e-06L
+data8 0xA47E21EBFE73F72F, 0x0000BFF8 //A1 = -1.00398379581527733314e-02L
+data8 0xDE65685FCDF7A913, 0x0000BFFA //A2 = -5.42959286802879105148e-02L
+data8 0xED289CB8F97D4860, 0x00003FFA //A3 = +5.79000589346770417248e-02L
+data8 0xAA3100D5A7D870F1, 0x0000BFFA //A4 = -4.15506394006027604387e-02L
+data8 0xCA0567032C5308C0, 0x00003FF9 //A5 = +2.46607791863290331169e-02L
+data8 0xD3E1794A50F31BEB, 0x0000BFF8 //A6 = -1.29321751094401754013e-02L
+data8 0xCAA02CB4C87CC1F0, 0x00003FF7 //A7 = +6.18364508551740736863e-03L
+data8 0xB3F126AF16B121F2, 0x0000BFF6 //A8 = -2.74569696838501870748e-03L
+data8 0x962B2D64D3900510, 0x00003FF5 //A9 = +1.14569596409019883022e-03L
+data8 0xED8785714A9A00FB, 0x0000BFF3 //A10 = -4.53051338046340380512e-04L
+data8 0xB325DA4515D8B54C, 0x00003FF2 //A11 = +1.70848714622328427290e-04L
+data8 0x8179C36354571747, 0x0000BFF1 //A12 = -6.17387951061077132522e-05L
+data8 0xB40F241C01C907E9, 0x00003FEF //A13 = +2.14647227210702861416e-05L
+data8 0xF436D84AD7D4D316, 0x0000BFED //A14 = -7.27815144835213913238e-06L
+data8 0x9EB432503FB0B7BC, 0x00003FEC //A15 = +2.36487228755136968792e-06L
+// Pol4 
+data8 0xE0BA539E4AFC4741, 0x00003FED //A0 = +6.69741148991838024429e-06L
+data8 0x8583BF71139452CF, 0x0000BFFA //A1 = -3.25963476363756051657e-02L
+data8 0x8384FEF6D08AD6CE, 0x0000BFF9 //A2 = -1.60546283500634200479e-02L
+data8 0xB1E67DFB84C97036, 0x00003FF9 //A3 = +2.17163525195697635702e-02L
+data8 0xFB6ACEE6899E360D, 0x0000BFF8 //A4 = -1.53452892792759316229e-02L
+data8 0x8D2B869EB9149905, 0x00003FF8 //A5 = +8.61633440480716870830e-03L
+data8 0x8A90BFE0FD869A41, 0x0000BFF7 //A6 = -4.22868126950622376530e-03L
+data8 0xF7536A76E59F54D2, 0x00003FF5 //A7 = +1.88694643606912107006e-03L
+data8 0xCCF6FE58C16E1CC7, 0x0000BFF4 //A8 = -7.81878732767742447339e-04L
+data8 0x9FCC6ED9914FAA24, 0x00003FF3 //A9 = +3.04791577214885118730e-04L
+data8 0xEC7F5AAACAE593E8, 0x0000BFF1 //A10 = -1.12770784960291779798e-04L
+data8 0xA72CE628A114C940, 0x00003FF0 //A11 = +3.98577182157456408782e-05L
+data8 0xE2DCC5750FD769BA, 0x0000BFEE //A12 = -1.35220520471857266339e-05L
+data8 0x9459160B1E6F1F8D, 0x00003FED //A13 = +4.42111470121432700283e-06L
+data8 0xBE0A05701BD0DD42, 0x0000BFEB //A14 = -1.41590196994052764542e-06L
+data8 0xE905D729105081BF, 0x00003FE9 //A15 = +4.34038814785401120999e-07L
+// Pol5 
+data8 0xA33649C3AB459832, 0x00003FEE //A0 = +9.72819704141525206634e-06L
+data8 0x9E4EA2F44C9A24BD, 0x0000BFFA //A1 = -3.86492123987296806210e-02L
+data8 0xE80C0B1280F357BF, 0x0000BFF2 //A2 = -2.21297306012713370124e-04L
+data8 0xDAECCE90A4D45D9A, 0x00003FF7 //A3 = +6.68106161291482829670e-03L
+data8 0xA4006572071BDD4B, 0x0000BFF7 //A4 = -5.00493005170532147076e-03L
+data8 0xB07FD7EB1F4D8E8E, 0x00003FF6 //A5 = +2.69316693731732554959e-03L
+data8 0xA1F471D42ADD73A1, 0x0000BFF5 //A6 = -1.23561753760779610478e-03L
+data8 0x8611D0ED1B4C8176, 0x00003FF4 //A7 = +5.11434914439322741260e-04L
+data8 0xCDADB789B487A541, 0x0000BFF2 //A8 = -1.96150380913036018825e-04L
+data8 0x9470252731687FEE, 0x00003FF1 //A9 = +7.07807859951401721129e-05L
+data8 0xCB9399AD1C376D85, 0x0000BFEF //A10 = -2.42682175234436724152e-05L
+data8 0x858D815F9CA0A9F7, 0x00003FEE //A11 = +7.96036454038012144300e-06L
+data8 0xA878D338E6E6A079, 0x0000BFEC //A12 = -2.51042802626063073967e-06L
+data8 0xCD2C2F079D2FCB36, 0x00003FEA //A13 = +7.64327468786076941271e-07L
+data8 0xF5EF4A4B2EA426F2, 0x0000BFE8 //A14 = -2.29044563492386125272e-07L
+data8 0x8CE52181393820FC, 0x00003FE7 //A15 = +6.56093668622712763489e-08L
+// Pol6 
+data8 0xB2015D7F1864B7CF, 0x00003FEC //A0 = +2.65248615880090351276e-06L
+data8 0x954EA7A861B4462A, 0x0000BFFA //A1 = -3.64519642954351295215e-02L
+data8 0x9E46F2A4D9157E69, 0x00003FF7 //A2 = +4.83023498390681965101e-03L
+data8 0xA0D12B422FFD5BAD, 0x00003FF5 //A3 = +1.22693684633643883352e-03L
+data8 0xB291D16A560A740E, 0x0000BFF5 //A4 = -1.36237794246703606647e-03L
+data8 0xC138941BC8AF4A9D, 0x00003FF4 //A5 = +7.37079658343628747256e-04L
+data8 0xA761669D61B405CF, 0x0000BFF3 //A6 = -3.19252914480518163396e-04L
+data8 0x8053680F1C84607E, 0x00003FF2 //A7 = +1.22381025852939439541e-04L
+data8 0xB518F4B6F25015F9, 0x0000BFF0 //A8 = -4.31770048258291369742e-05L
+data8 0xEFF526AC70B9411E, 0x00003FEE //A9 = +1.43025887824433324525e-05L
+data8 0x970B2A848DF5B5C2, 0x0000BFED //A10 = -4.50145058393497252604e-06L
+data8 0xB614D2E61DB86963, 0x00003FEB //A11 = +1.35661172167726780059e-06L
+data8 0xD34EA4D283EC33FA, 0x0000BFE9 //A12 = -3.93590335713880681528e-07L
+data8 0xED209EBD68E1145F, 0x00003FE7 //A13 = +1.10421060667544991323e-07L
+data8 0x83A126E22A17568D, 0x0000BFE6 //A14 = -3.06473811074239684132e-08L
+data8 0x8B778496EDE9F415, 0x00003FE4 //A15 = +8.11804009754249175736e-09L
+// Pol7 
+data8 0x8E152F522501B7B9, 0x00003FEE //A0 = +8.46879203970927626532e-06L
+data8 0xFD22F92EE21F491E, 0x0000BFF9 //A1 = -3.09004656656418947425e-02L
+data8 0xAF0C41847D89EC14, 0x00003FF7 //A2 = +5.34203719233189217519e-03L
+data8 0xB7C539C400445956, 0x0000BFF3 //A3 = -3.50514245383356287965e-04L
+data8 0x8428C78B2B1E3622, 0x0000BFF3 //A4 = -2.52073850239006530978e-04L
+data8 0xAFC0CCC7D1A05F5B, 0x00003FF2 //A5 = +1.67611241057491801028e-04L
+data8 0x95DC7272C5695A5A, 0x0000BFF1 //A6 = -7.14593512262564106636e-05L
+data8 0xD6FCA68A61F0E835, 0x00003FEF //A7 = +2.56284375437771117850e-05L
+data8 0x8B71C74DEA936C66, 0x0000BFEE //A8 = -8.31153675277218441096e-06L
+data8 0xA8AC71E2A56AA2C9, 0x00003FEC //A9 = +2.51343269277107451413e-06L
+data8 0xC15DED6C44B46046, 0x0000BFEA //A10 = -7.20347851650066610771e-07L
+data8 0xD42BA1DFBD1277AC, 0x00003FE8 //A11 = +1.97599119274780745741e-07L
+data8 0xE03A81F2C976D11A, 0x0000BFE6 //A12 = -5.22072765405802337371e-08L
+data8 0xE56A19A67DD66100, 0x00003FE4 //A13 = +1.33536787408751203998e-08L
+data8 0xE964D255CB31DFFA, 0x0000BFE2 //A14 = -3.39632729387679010008e-09L
+data8 0xE22E62E932B704D4, 0x00003FE0 //A15 = +8.22842400379225526299e-10L
+// Pol8 
+data8 0xB8B835882D46A6C8, 0x00003FEF //A0 = +2.20202883282415435401e-05L
+data8 0xC9D1F63F89B74E90, 0x0000BFF9 //A1 = -2.46362504515706189782e-02L
+data8 0x8E376748B1274F30, 0x00003FF7 //A2 = +4.34010070001387441657e-03L
+data8 0x98174C7EA49B5B37, 0x0000BFF4 //A3 = -5.80181163659971286762e-04L
+data8 0x8D2C40506AE9FF97, 0x00003FEF //A4 = +1.68291159100251734927e-05L
+data8 0xD9A580C115B9D150, 0x00003FEF //A5 = +2.59454841475194555896e-05L
+data8 0xDB35B21F1C3F99CE, 0x0000BFEE //A6 = -1.30659192305072674545e-05L
+data8 0x99FAADAE17A3050E, 0x00003FED //A7 = +4.58893813631592314881e-06L
+data8 0xBA1D259BCD6987A9, 0x0000BFEB //A8 = -1.38665627771423394637e-06L
+data8 0xCDD7FF5BEA0145C2, 0x00003FE9 //A9 = +3.83413844219813384124e-07L
+data8 0xD60857176CE6AB9D, 0x0000BFE7 //A10 = -9.96666862214499946343e-08L
+data8 0xD446A2402112DF4C, 0x00003FE5 //A11 = +2.47121687566658908126e-08L
+data8 0xCA87133235F1F495, 0x0000BFE3 //A12 = -5.89433000014933371980e-09L
+data8 0xBB15B0021581C8B6, 0x00003FE1 //A13 = +1.36122047057936849125e-09L
+data8 0xAC9D6585D4AF505E, 0x0000BFDF //A14 = -3.13984547328132268695e-10L
+data8 0x975A1439C3795183, 0x00003FDD //A15 = +6.88268624429648826457e-11L
+// Pol9 
+data8 0x99A7676284CDC9FE, 0x00003FEF //A0 = +1.83169747921764176475e-05L
+data8 0x9AD0AE249A02896C, 0x0000BFF9 //A1 = -1.88983346204739151909e-02L
+data8 0xCB89B4AEC19898BE, 0x00003FF6 //A2 = +3.10574208447745576452e-03L
+data8 0xEBBC47E30E1AC2C2, 0x0000BFF3 //A3 = -4.49629730048297442064e-04L
+data8 0xD1E35B7FCE1CF859, 0x00003FF0 //A4 = +5.00412261289558493438e-05L
+data8 0xB40743664EF24552, 0x0000BFEB //A5 = -1.34131589671166307319e-06L
+data8 0xCAD2F5C596FFE1B4, 0x0000BFEB //A6 = -1.51115702599728593837e-06L
+data8 0xAE42B6D069DFDDF2, 0x00003FEA //A7 = +6.49171330116787223873e-07L
+data8 0xD0739A05BB43A714, 0x0000BFE8 //A8 = -1.94135651872623440782e-07L
+data8 0xD745B854AB601BD7, 0x00003FE6 //A9 = +5.01219983943456578062e-08L
+data8 0xCC4066E13E338B13, 0x0000BFE4 //A10 = -1.18890061172430768892e-08L
+data8 0xB6EAADB55A6C3CB4, 0x00003FE2 //A11 = +2.66178850259168707794e-09L
+data8 0x9CC6C178AD3F96AD, 0x0000BFE0 //A12 = -5.70349182959704086428e-10L
+data8 0x81D0E2AA27DEB74A, 0x00003FDE //A13 = +1.18066926578104076645e-10L
+data8 0xD75FB9049190BEFD, 0x0000BFDB //A14 = -2.44851795398843967972e-11L
+data8 0xA9384A51D48C8703, 0x00003FD9 //A15 = +4.80951837368635202609e-12L
+// Pol10 
+data8 0xD2B3482EE449C535, 0x00003FEE //A0 = +1.25587177382575655080e-05L
+data8 0xE7939B2D0607DFCF, 0x0000BFF8 //A1 = -1.41343131436717436429e-02L
+data8 0x8810EB4AC5F0F1CE, 0x00003FF6 //A2 = +2.07620377002350121270e-03L
+data8 0x9546589602AEB955, 0x0000BFF3 //A3 = -2.84719065122144294949e-04L
+data8 0x9333434342229798, 0x00003FF0 //A4 = +3.50952732796136549298e-05L
+data8 0xEB36A98FD81D3DEB, 0x0000BFEC //A5 = -3.50495464815398722482e-06L
+data8 0xAC370EFA025D0477, 0x00003FE8 //A6 = +1.60387784498518639254e-07L
+data8 0xC8DF7F8ACA099426, 0x00003FE6 //A7 = +4.67693991699936842330e-08L
+data8 0xAC694AD4921C02CF, 0x0000BFE5 //A8 = -2.00713167514877937714e-08L
+data8 0xB6E29F2FDE2D8C1A, 0x00003FE3 //A9 = +5.32266106167252495164e-09L
+data8 0xA41F8EEA75474358, 0x0000BFE1 //A10 = -1.19415398856537468324e-09L
+data8 0x869D778A1C56D3D6, 0x00003FDF //A11 = +2.44863450057778470469e-10L
+data8 0xD02658BF31411F4C, 0x0000BFDC //A12 = -4.73277831746128372261e-11L
+data8 0x9A4A95EE59127779, 0x00003FDA //A13 = +8.77044784978207256260e-12L
+data8 0xE518330AF013C2F6, 0x0000BFD7 //A14 = -1.62781453276882333209e-12L
+data8 0xA036A9DF71BD108A, 0x00003FD5 //A15 = +2.84596398987114375607e-13L
+// Pol11 
+data8 0x9191CFBF001F3BB3, 0x00003FEE //A0 = +8.67662287973472452343e-06L
+data8 0xAA47E0CF01AE9730, 0x0000BFF8 //A1 = -1.03931136509584404513e-02L
+data8 0xAEABE7F17B01D18F, 0x00003FF5 //A2 = +1.33263784731775399430e-03L
+data8 0xAC0D6A309D04E5DB, 0x0000BFF2 //A3 = -1.64081956462118568288e-04L
+data8 0xA08357DF458054D0, 0x00003FEF //A4 = +1.91346477952797715021e-05L
+data8 0x8A1596B557440FE0, 0x0000BFEC //A5 = -2.05761687274453412571e-06L
+data8 0xCDA0EAE0A5615E9A, 0x00003FE8 //A6 = +1.91506542215670149741e-07L
+data8 0xD36A08FB4E104F9A, 0x0000BFE4 //A7 = -1.23059260396551086769e-08L
+data8 0xD7433F91E78A7A11, 0x0000BFDF //A8 = -3.91560549815575091188e-10L
+data8 0xC2F5308FD4F5CE62, 0x00003FDF //A9 = +3.54626121852421163117e-10L
+data8 0xC83876915F49D630, 0x0000BFDD //A10 = -9.10497688901018285126e-11L
+data8 0xA11C605DEAE1FE9C, 0x00003FDB //A11 = +1.83161825409194847892e-11L
+data8 0xE7977BC1342D19BF, 0x0000BFD8 //A12 = -3.29111645807102123274e-12L
+data8 0x9BC3A7D6396C6756, 0x00003FD6 //A13 = +5.53385887288503961220e-13L
+data8 0xD0110D5683740B8C, 0x0000BFD3 //A14 = -9.24001363293241428519e-14L
+data8 0x81786D7856A5CC92, 0x00003FD1 //A15 = +1.43741041714595023996e-14L
+// Pol12 
+data8 0xB85654F6033B3372, 0x00003FEF //A0 = +2.19747106911869287049e-05L
+data8 0xF78B40078736B406, 0x0000BFF7 //A1 = -7.55444170413862312647e-03L
+data8 0xDA8FDE84D88E5D5D, 0x00003FF4 //A2 = +8.33747822263358628569e-04L
+data8 0xBC2D3F3891721AA9, 0x0000BFF1 //A3 = -8.97296647669960333635e-05L
+data8 0x9D15ACFD3BF50064, 0x00003FEE //A4 = +9.36297600601039610762e-06L
+data8 0xFBED3D03F3C1B671, 0x0000BFEA //A5 = -9.38500137149172923985e-07L
+data8 0xBEE615E3B2FA16C8, 0x00003FE7 //A6 = +8.88941676851808958175e-08L
+data8 0x843D32692CF5662A, 0x0000BFE4 //A7 = -7.69732580860195238520e-09L
+data8 0x99E74472FD94E22B, 0x00003FE0 //A8 = +5.59897264617128952416e-10L
+data8 0xCEF63DABF4C32E15, 0x0000BFDB //A9 = -2.35288414996279313219e-11L
+data8 0xA2D86C25C0991123, 0x0000BFD8 //A10 = -2.31417232327307408235e-12L
+data8 0xF50C1B31D2E922BD, 0x00003FD6 //A11 = +8.70582858983364191159e-13L
+data8 0xC0F093DEC2B019A1, 0x0000BFD4 //A12 = -1.71364927865227509533e-13L
+data8 0xFC1441C4CD105981, 0x00003FD1 //A13 = +2.79864052545369490865e-14L
+data8 0x9CC959853267F026, 0x0000BFCF //A14 = -4.35170017302700609509e-15L
+data8 0xB06BA14016154F1E, 0x00003FCC //A15 = +6.12081320471295704631e-16L
+// Pol13 
+data8 0xA59E74BF544F2422, 0x00003FEF //A0 = +1.97433196215210145261e-05L
+data8 0xB2814F4EDAE15330, 0x0000BFF7 //A1 = -5.44754383528015875700e-03L
+data8 0x867C249D378F0A23, 0x00003FF4 //A2 = +5.13019308804593120161e-04L
+data8 0xC76644393388AB68, 0x0000BFF0 //A3 = -4.75405403392600215101e-05L
+data8 0x91143AD5CCA229FE, 0x00003FED //A4 = +4.32369180778264703719e-06L
+data8 0xCE6A11FB6840A974, 0x0000BFE9 //A5 = -3.84476663329551178495e-07L
+data8 0x8EC29F66C59DE243, 0x00003FE6 //A6 = +3.32389596787155456596e-08L
+data8 0xBE3FCDDCA94CA24E, 0x0000BFE2 //A7 = -2.76849073931513325199e-09L
+data8 0xF06A84BDC70A0B0D, 0x00003FDE //A8 = +2.18657158231304988330e-10L
+data8 0x8B8E6969D056D124, 0x0000BFDB //A9 = -1.58657139740906811035e-11L
+data8 0x8984985AA29A0567, 0x00003FD7 //A10 = +9.77123802231106533829e-13L
+data8 0xA53ABA084300137C, 0x0000BFD2 //A11 = -3.66882970952892030306e-14L
+data8 0xA90EC851E91C3319, 0x0000BFCE //A12 = -2.34614750044359490986e-15L
+data8 0xEC9CAF64237B5060, 0x00003FCC //A13 = +8.20912960028437475035e-16L
+data8 0xA9156668FCF01479, 0x0000BFCA //A14 = -1.46656639874123613261e-16L
+data8 0xBAEF58D8118DD5D4, 0x00003FC7 //A15 = +2.02675278255254907493e-17L
+// Pol14 
+data8 0xC698952E9CEAA800, 0x00003FEF //A0 = +2.36744912073515619263e-05L
+data8 0x800395F8C7B4FA00, 0x0000BFF7 //A1 = -3.90667746392883642897e-03L
+data8 0xA3B2467B6B391831, 0x00003FF3 //A2 = +3.12226081793919541155e-04L
+data8 0xCF2061122A69D72B, 0x0000BFEF //A3 = -2.46914006692526122176e-05L
+data8 0x817FAB6B5DEB9924, 0x00003FEC //A4 = +1.92968114320180123521e-06L
+data8 0x9FC190F5827740E7, 0x0000BFE8 //A5 = -1.48784479265231093475e-07L
+data8 0xC1FE5C1835C8AFCD, 0x00003FE4 //A6 = +1.12919132662720380018e-08L
+data8 0xE7216A9FBB204DA3, 0x0000BFE0 //A7 = -8.40847981461949000003e-10L
+data8 0x867566ED95C5C64F, 0x00003FDD //A8 = +6.11446929759298780795e-11L
+data8 0x97A8BFA723F0F014, 0x0000BFD9 //A9 = -4.31041298699752869577e-12L
+data8 0xA3D24B7034984522, 0x00003FD5 //A10 = +2.91005377301348717042e-13L
+data8 0xA5AAA371C22F3741, 0x0000BFD1 //A11 = -1.83926825395757259128e-14L
+data8 0x95352E5597EACC23, 0x00003FCD //A12 = +1.03533666540077850452e-15L
+data8 0xCCEBE3043B689428, 0x0000BFC8 //A13 = -4.44352525147076912166e-17L
+data8 0xA779DAB4BE1F80BB, 0x0000BFBC //A14 = -8.86610526981738255206e-21L
+data8 0xB171271F3517282C, 0x00003FC1 //A15 = +3.00598445879282370850e-19L
+// Pol15 
+data8 0xB7AC727D1C3FEB05, 0x00003FEE //A0 = +1.09478009914822049780e-05L
+data8 0xB6E6274485C10B0A, 0x0000BFF6 //A1 = -2.79081782038927199588e-03L
+data8 0xC5CAE2122D009506, 0x00003FF2 //A2 = +1.88629638738336219173e-04L
+data8 0xD466E7957D0A3362, 0x0000BFEE //A3 = -1.26601440424012313479e-05L
+data8 0xE2593D798DA20E2E, 0x00003FEA //A4 = +8.43214222346512003230e-07L
+data8 0xEF2D2BBA7D2882CC, 0x0000BFE6 //A5 = -5.56876064495961858535e-08L
+data8 0xFA5819BB4AE974C2, 0x00003FE2 //A6 = +3.64298674151704370449e-09L
+data8 0x819BB0CE825FBB28, 0x0000BFDF //A7 = -2.35755881668932259913e-10L
+data8 0x84871099BF728B8F, 0x00003FDB //A8 = +1.50666434199945890414e-11L
+data8 0x858188962DFEBC9F, 0x0000BFD7 //A9 = -9.48617116568458677088e-13L
+data8 0x840F38FF2FBAE753, 0x00003FD3 //A10 = +5.86461827778372616657e-14L
+data8 0xFF47EAF69577B213, 0x0000BFCE //A11 = -3.54273456410181081472e-15L
+data8 0xEF402CCB4D29FAF8, 0x00003FCA //A12 = +2.07516888659313950588e-16L
+data8 0xD6B789E01141231B, 0x0000BFC6 //A13 = -1.16398290506765191078e-17L
+data8 0xB5EEE343E9CFE3EC, 0x00003FC2 //A14 = +6.16413506924643419723e-19L
+data8 0x859B41A39D600346, 0x0000BFBE //A15 = -2.82922705825870414438e-20L
+// Pol16 
+data8 0x85708B69FD184E11, 0x00003FED //A0 = +3.97681079176353356199e-06L
+data8 0x824D92BC60A1F70A, 0x0000BFF6 //A1 = -1.98826630037499070532e-03L
+data8 0xEDCF7D3576BB5258, 0x00003FF1 //A2 = +1.13396885054265675352e-04L
+data8 0xD7FC59226A947CDF, 0x0000BFED //A3 = -6.43687650810478871875e-06L
+data8 0xC32C51B574E2651E, 0x00003FE9 //A4 = +3.63538268539251809118e-07L
+data8 0xAF67910F5681401F, 0x0000BFE5 //A5 = -2.04197779750247395258e-08L
+data8 0x9CB3E8D7DCD1EA9D, 0x00003FE1 //A6 = +1.14016272459029850306e-09L
+data8 0x8B14ECFBF7D4F114, 0x0000BFDD //A7 = -6.32470533185766848692e-11L
+data8 0xF518253AE4A3AE72, 0x00003FD8 //A8 = +3.48299974583453268369e-12L
+data8 0xD631A5699AA2F334, 0x0000BFD4 //A9 = -1.90242426474085078079e-13L
+data8 0xB971AD4C30C56E5D, 0x00003FD0 //A10 = +1.02942127356740047925e-14L
+data8 0x9ED0065A601F3160, 0x0000BFCC //A11 = -5.50991880383698965959e-16L
+data8 0x863A04008E12867C, 0x00003FC8 //A12 = +2.91057593756148904838e-17L
+data8 0xDF62F9F44F5C7170, 0x0000BFC3 //A13 = -1.51372666097522872780e-18L
+data8 0xBA4E118E88CFDD31, 0x00003FBF //A14 = +7.89032177282079635722e-20L
+data8 0x942AD897FC4D2F2A, 0x0000BFBB //A15 = -3.92195756076319409245e-21L
+// Pol17 
+data8 0xCB8514540566C717, 0x00003FEF //A0 = +2.42614557068144130848e-05L
+data8 0xB94F08D6816E0CD4, 0x0000BFF5 //A1 = -1.41379340061829929314e-03L
+data8 0x8E7C342C2DABB51B, 0x00003FF1 //A2 = +6.79422240687700109911e-05L
+data8 0xDA69DAFF71E30D5B, 0x0000BFEC //A3 = -3.25461473899657142468e-06L
+data8 0xA6D5B2DB69B4B3F6, 0x00003FE8 //A4 = +1.55376978584082701045e-07L
+data8 0xFDF4F76BC1D1BD47, 0x0000BFE3 //A5 = -7.39111857092131684572e-09L
+data8 0xC08BC52C95B12C2D, 0x00003FDF //A6 = +3.50239092565793882444e-10L
+data8 0x91624BF6D3A3F6C9, 0x0000BFDB //A7 = -1.65282439890232458821e-11L
+data8 0xDA91F7A450DE4270, 0x00003FD6 //A8 = +7.76517285902715940501e-13L
+data8 0xA380ADF55416E624, 0x0000BFD2 //A9 = -3.63048822989374426852e-14L
+data8 0xF350FC0CEDEE0FD6, 0x00003FCD //A10 = +1.68834630987974622269e-15L
+data8 0xB3FA19FBDC8F023C, 0x0000BFC9 //A11 = -7.80525639701804380489e-17L
+data8 0x8435328C80940126, 0x00003FC5 //A12 = +3.58349966898667910204e-18L
+data8 0xC0D22F655BA5EF39, 0x0000BFC0 //A13 = -1.63325770165403860181e-19L
+data8 0x8F14B9EBD5A9AB25, 0x00003FBC //A14 = +7.57464305512080733773e-21L
+data8 0xCD4804BBF6DC1B6F, 0x0000BFB7 //A15 = -3.39609459750208886298e-22L
+// Pol18 
+data8 0xE251DFE45AB0C22E, 0x00003FEE //A0 = +1.34897126299700418200e-05L
+data8 0x83943CC7D59D4215, 0x0000BFF5 //A1 = -1.00386850310061655307e-03L
+data8 0xAA57896951134BCA, 0x00003FF0 //A2 = +4.06126834109940757047e-05L
+data8 0xDC0A67051E1C4A2C, 0x0000BFEB //A3 = -1.63943048164477430317e-06L
+data8 0x8DCB3C0A8CD07BBE, 0x00003FE7 //A4 = +6.60279229777753829876e-08L
+data8 0xB64DE81C24F7F265, 0x0000BFE2 //A5 = -2.65287705357477481067e-09L
+data8 0xE9CBB7A990DBA8B5, 0x00003FDD //A6 = +1.06318007608620426224e-10L
+data8 0x9583D4B85C2ADC6F, 0x0000BFD9 //A7 = -4.24947087941505088222e-12L
+data8 0xBEB0EE8114EEDF77, 0x00003FD4 //A8 = +1.69367754741562774916e-13L
+data8 0xF2791BB8F06BDA93, 0x0000BFCF //A9 = -6.72997988617021128704e-15L
+data8 0x99A907F6A92195B4, 0x00003FCB //A10 = +2.66558091161711891239e-16L
+data8 0xC213E5E6F833BB93, 0x0000BFC6 //A11 = -1.05209746502719578617e-17L
+data8 0xF41FBBA6B343960F, 0x00003FC1 //A12 = +4.13562069721140021224e-19L
+data8 0x98F194AEE31D188D, 0x0000BFBD //A13 = -1.61935414722333263347e-20L
+data8 0xC42F5029BB622157, 0x00003FB8 //A14 = +6.49121108201931196678e-22L
+data8 0xF43BD08079E50E0F, 0x0000BFB3 //A15 = -2.52531675510242468317e-23L
+// Pol19 
+data8 0x82557B149A04D08E, 0x00003FEF //A0 = +1.55370127331027842820e-05L
+data8 0xBAAB433307CE614B, 0x0000BFF4 //A1 = -7.12085701486669872724e-04L
+data8 0xCB52D9DBAC16FE82, 0x00003FEF //A2 = +2.42380662859334411743e-05L
+data8 0xDD214359DBBCE7D1, 0x0000BFEA //A3 = -8.23773197624244883859e-07L
+data8 0xF01E8E968139524C, 0x00003FE5 //A4 = +2.79535729459988509676e-08L
+data8 0x82286A057E0916CE, 0x0000BFE1 //A5 = -9.47023128967039348510e-10L
+data8 0x8CDDDC4E8D013365, 0x00003FDC //A6 = +3.20293663356974901319e-11L
+data8 0x982FEEE90D4E8751, 0x0000BFD7 //A7 = -1.08135537312234452657e-12L
+data8 0xA41D1E84083B8FD6, 0x00003FD2 //A8 = +3.64405720894915411836e-14L
+data8 0xB0A1B6111B72E159, 0x0000BFCD //A9 = -1.22562851790685744085e-15L
+data8 0xBDB77DE6B650FFA2, 0x00003FC8 //A10 = +4.11382657214908334175e-17L
+data8 0xCB54E95CDB66978A, 0x0000BFC3 //A11 = -1.37782909696752432371e-18L
+data8 0xD959E428A62B1B6C, 0x00003FBE //A12 = +4.60258936838597812582e-20L
+data8 0xE7D49EC23F1A16A0, 0x0000BFB9 //A13 = -1.53412587409583783059e-21L
+data8 0xFDE429BC9947B2BE, 0x00003FB4 //A14 = +5.25034823750902928092e-23L
+data8 0x872137A062C042EF, 0x0000BFB0 //A15 = -1.74651114923000080365e-24L
+// Pol20 
+data8 0x8B9B185C6A2659AC, 0x00003FEF //A0 = +1.66423130594825442963e-05L
+data8 0x84503AD52588A1E8, 0x0000BFF4 //A1 = -5.04735556466270303549e-04L
+data8 0xF26C7C2B566388E1, 0x00003FEE //A2 = +1.44495826764677427386e-05L
+data8 0xDDDA15FEE262BB47, 0x0000BFE9 //A3 = -4.13231361893675488873e-07L
+data8 0xCACEBC73C90C2FE0, 0x00003FE4 //A4 = +1.18049538609157282958e-08L
+data8 0xB9314D00022B41DD, 0x0000BFDF //A5 = -3.36863342776746896664e-10L
+data8 0xA8E9FBDC714638B9, 0x00003FDA //A6 = +9.60164921624768038366e-12L
+data8 0x99E246C0CC8CA6F6, 0x0000BFD5 //A7 = -2.73352704217713596798e-13L
+data8 0x8C04E7B5DF372EA1, 0x00003FD0 //A8 = +7.77262480048865685174e-15L
+data8 0xFE7B90CAA0B6D5F7, 0x0000BFCA //A9 = -2.20728537958846147109e-16L
+data8 0xE6F40BAD4EC6CB4F, 0x00003FC5 //A10 = +6.26000182616999972048e-18L
+data8 0xD14F4E0538F0F992, 0x0000BFC0 //A11 = -1.77292283439752259258e-19L
+data8 0xBD5A7FAA548CC749, 0x00003FBB //A12 = +5.01214569023722089225e-21L
+data8 0xAB15D69425373A67, 0x0000BFB6 //A13 = -1.41518447770061562822e-22L
+data8 0x9EF95456F75B4DF4, 0x00003FB1 //A14 = +4.10938011540250142351e-24L
+data8 0x8FADCC45E81433E7, 0x0000BFAC //A15 = -1.16062889679749879834e-25L
+// Pol21 
+data8 0xB47A917B0F7B50AE, 0x00003FEF //A0 = +2.15147474240529518138e-05L
+data8 0xBB77DC3BA0C937B3, 0x0000BFF3 //A1 = -3.57567223048598672970e-04L
+data8 0x90694DFF4EBF7370, 0x00003FEE //A2 = +8.60758700336677694536e-06L
+data8 0xDE5379AA90A98F3F, 0x0000BFE8 //A3 = -2.07057292787309736495e-07L
+data8 0xAB0322293F1F9CA0, 0x00003FE3 //A4 = +4.97711123919916694625e-09L
+data8 0x837119E59D3B7AC2, 0x0000BFDE //A5 = -1.19545621970063369582e-10L
+data8 0xC9E5B74A38ECF3FC, 0x00003FD8 //A6 = +2.86913359605586285967e-12L
+data8 0x9AEF5110C6885352, 0x0000BFD3 //A7 = -6.88048865490621757799e-14L
+data8 0xED988D52189CE6A3, 0x00003FCD //A8 = +1.64865278639132278935e-15L
+data8 0xB6063CECD8012B6D, 0x0000BFC8 //A9 = -3.94702428606368525374e-17L
+data8 0x8B541EB15E79CEEC, 0x00003FC3 //A10 = +9.44127272399408815784e-19L
+data8 0xD51A136D8C75BC25, 0x0000BFBD //A11 = -2.25630369561137931232e-20L
+data8 0xA2C1C5E19CC79E6F, 0x00003FB8 //A12 = +5.38517493921589837361e-22L
+data8 0xF86F9772306F56C1, 0x0000BFB2 //A13 = -1.28438352359240135735e-23L
+data8 0xC32F6FEEDE86528E, 0x00003FAD //A14 = +3.15338862172962186458e-25L
+data8 0x9534ED189744D7D4, 0x0000BFA8 //A15 = -7.53301543611470014315e-27L
+// Pol22 
+data8 0xCBA0A2DB94A2C494, 0x00003FEF //A0 = +2.42742878212752702946e-05L
+data8 0x84C089154A49E0E8, 0x0000BFF3 //A1 = -2.53204520651046300034e-04L
+data8 0xABF5665BD0D8B0CD, 0x00003FED //A2 = +5.12476542947092361490e-06L
+data8 0xDEA1C518E3EEE872, 0x0000BFE7 //A3 = -1.03671063536324831083e-07L
+data8 0x900B77F271559AE8, 0x00003FE2 //A4 = +2.09612770408581408652e-09L
+data8 0xBA4C74A262BE3E4E, 0x0000BFDC //A5 = -4.23594098489216166935e-11L
+data8 0xF0D1680FCC1EAF97, 0x00003FD6 //A6 = +8.55557381760467917779e-13L
+data8 0x9B8F8E033BB83A24, 0x0000BFD1 //A7 = -1.72707138247091685914e-14L
+data8 0xC8DCA6A691DB8335, 0x00003FCB //A8 = +3.48439884388851942939e-16L
+data8 0x819A6CB9CEA5E9BD, 0x0000BFC6 //A9 = -7.02580471688245511753e-18L
+data8 0xA726B4F622585BEA, 0x00003FC0 //A10 = +1.41582572516648501043e-19L
+data8 0xD7727648A4095986, 0x0000BFBA //A11 = -2.85141885626054217632e-21L
+data8 0x8AB627E09CF45997, 0x00003FB5 //A12 = +5.73697507862703019314e-23L
+data8 0xB28C15C117CC604F, 0x0000BFAF //A13 = -1.15383428132352407085e-24L
+data8 0xECB8428626DA072C, 0x00003FA9 //A14 = +2.39025879246942839796e-26L
+data8 0x98B731BCFA2CE2B2, 0x0000BFA4 //A15 = -4.81885474332093262902e-28L
+// Pol23 
+data8 0xC6D013811314D31B, 0x00003FED //A0 = +5.92508308918577687876e-06L
+data8 0xBBF3057B8DBACBCF, 0x0000BFF2 //A1 = -1.79242422493281965934e-04L
+data8 0xCCADECA501162313, 0x00003FEC //A2 = +3.04996061562356504918e-06L
+data8 0xDED1FDBE8CCAF3DB, 0x0000BFE6 //A3 = -5.18793887648024117154e-08L
+data8 0xF27B74EDDCA65859, 0x00003FE0 //A4 = +8.82145297317787820675e-10L
+data8 0x83E4415687F01A0C, 0x0000BFDB //A5 = -1.49943414247603665601e-11L
+data8 0x8F6CB350861CE446, 0x00003FD5 //A6 = +2.54773288906376920377e-13L
+data8 0x9BE8456A30CBFC02, 0x0000BFCF //A7 = -4.32729710913845745148e-15L
+data8 0xA9694F7E1033977D, 0x00003FC9 //A8 = +7.34704698157502347441e-17L
+data8 0xB8035A3D5AF82D85, 0x0000BFC3 //A9 = -1.24692123826025468001e-18L
+data8 0xC7CB4B3ACB905FDA, 0x00003FBD //A10 = +2.11540249352095943317e-20L
+data8 0xD8D70AEB2E58D729, 0x0000BFB7 //A11 = -3.58731705184186608576e-22L
+data8 0xEB27A61B1D5C7697, 0x00003FB1 //A12 = +6.07861113430709162243e-24L
+data8 0xFEF9ED74D4F4C9B0, 0x0000BFAB //A13 = -1.02984099170876754831e-25L
+data8 0x8E6F410068C12043, 0x00003FA6 //A14 = +1.79777721804459361762e-27L
+data8 0x9AE2F6705481630E, 0x0000BFA0 //A15 = -3.05459905177379058768e-29L
+// Pol24 
+data8 0xD2D858D5B01C9434, 0x00003FEE //A0 = +1.25673476165670766128e-05L
+data8 0x8505330F8B4FDE49, 0x0000BFF2 //A1 = -1.26858053564784963985e-04L
+data8 0xF39171C8B1D418C2, 0x00003FEB //A2 = +1.81472407620770441249e-06L
+data8 0xDEF065C3D7BFD26E, 0x0000BFE5 //A3 = -2.59535215807652675043e-08L
+data8 0xCC0199EA6ACA630C, 0x00003FDF //A4 = +3.71085215769339916703e-10L
+data8 0xBAA25319F01ED248, 0x0000BFD9 //A5 = -5.30445960650683029105e-12L
+data8 0xAAB28A84F8CFE4D1, 0x00003FD3 //A6 = +7.58048850973457592162e-14L
+data8 0x9C14B931AEB311A8, 0x0000BFCD //A7 = -1.08302915828084288776e-15L
+data8 0x8EADA745715A0714, 0x00003FC7 //A8 = +1.54692159263197000533e-17L
+data8 0x82643F3F722CE6B5, 0x0000BFC1 //A9 = -2.20891945694400066611e-19L
+data8 0xEE42ECDE465A99E4, 0x00003FBA //A10 = +3.15336372779307614198e-21L
+data8 0xD99FC74326ACBFC0, 0x0000BFB4 //A11 = -4.50036161691276556269e-23L
+data8 0xC6A4DCACC554911E, 0x00003FAE //A12 = +6.41853356148678957077e-25L
+data8 0xB550CEA09DA96F44, 0x0000BFA8 //A13 = -9.15410112414783078242e-27L
+data8 0xAA9149317996F32F, 0x00003FA2 //A14 = +1.34554050666508391264e-28L
+data8 0x9C3008EFE3F52F19, 0x0000BF9C //A15 = -1.92516125328592532359e-30L
+// Pol25 
+data8 0xA68E78218806283F, 0x00003FEF //A0 = +1.98550844852103406280e-05L
+data8 0xBC41423996DC8A37, 0x0000BFF1 //A1 = -8.97669395268764751516e-05L
+data8 0x90E55AE31A2F8271, 0x00003FEB //A2 = +1.07955871580069359702e-06L
+data8 0xDF022272DA4A3BEF, 0x0000BFE4 //A3 = -1.29807937275957214439e-08L
+data8 0xAB95DCBFFB0BAAB8, 0x00003FDE //A4 = +1.56056011861921437794e-10L
+data8 0x83FF2547BA9011FF, 0x0000BFD8 //A5 = -1.87578539510813332135e-12L
+data8 0xCB0C353560EEDC45, 0x00003FD1 //A6 = +2.25428217090412574481e-14L
+data8 0x9C24CEB86E76D2C5, 0x0000BFCB //A7 = -2.70866279585559299821e-16L
+data8 0xF01AFA23DDFDAE0E, 0x00003FC4 //A8 = +3.25403467375734083376e-18L
+data8 0xB892BDFBCF1D9740, 0x0000BFBE //A9 = -3.90848978133441513662e-20L
+data8 0x8DDBBF34415AAECA, 0x00003FB8 //A10 = +4.69370027479731756829e-22L
+data8 0xDA04170D07458C3B, 0x0000BFB1 //A11 = -5.63558091177482043435e-24L
+data8 0xA76F391095A9563A, 0x00003FAB //A12 = +6.76262416498584003290e-26L
+data8 0x8098FA125C18D8DB, 0x0000BFA5 //A13 = -8.11564737276592661642e-28L
+data8 0xCB9E4D5C08923227, 0x00003F9E //A14 = +1.00391606269366059664e-29L
+data8 0x9CEC3BF7A0BE2CAF, 0x0000BF98 //A15 = -1.20888920108938909316e-31L
+// Pol26 
+data8 0xC17AB25E269272F7, 0x00003FEE //A0 = +1.15322640047234590651e-05L
+data8 0x85310509E633FEF2, 0x0000BFF1 //A1 = -6.35106483144690768696e-05L
+data8 0xAC5E4C4DCB2D940C, 0x00003FEA //A2 = +6.42122148740412561597e-07L
+data8 0xDF0AAD0571FFDD48, 0x0000BFE3 //A3 = -6.49136789710824396482e-09L
+data8 0x9049D8440AFD180F, 0x00003FDD //A4 = +6.56147932223174570008e-11L
+data8 0xBAA936477C5FA9D7, 0x0000BFD6 //A5 = -6.63153032879993841863e-13L
+data8 0xF17261294EAB1443, 0x00003FCF //A6 = +6.70149477756803680009e-15L
+data8 0x9C22F87C31DB007A, 0x0000BFC9 //A7 = -6.77134581402030645534e-17L
+data8 0xC9E98E633942AC12, 0x00003FC2 //A8 = +6.84105580182052870823e-19L
+data8 0x828998181309642C, 0x0000BFBC //A9 = -6.91059649300859944955e-21L
+data8 0xA8C3D4DCE1ECBAB6, 0x00003FB5 //A10 = +6.97995542988331257517e-23L
+data8 0xDA288D52CC4C351A, 0x0000BFAE //A11 = -7.04907829139578377009e-25L
+data8 0x8CEEACB790B5F374, 0x00003FA8 //A12 = +7.11526399101774993883e-27L
+data8 0xB61C8A29D98F24C0, 0x0000BFA1 //A13 = -7.18303147470398859453e-29L
+data8 0xF296F69FE45BDA7D, 0x00003F9A //A14 = +7.47537230021540031251e-31L
+data8 0x9D4B25BF6FB7234B, 0x0000BF94 //A15 = -7.57340869663212138051e-33L
+// Pol27 
+data8 0xC7772CC326D6FBB8, 0x00003FEE //A0 = +1.18890718679826004395e-05L
+data8 0xE0F9D5410565D55D, 0x0000BFF0 //A1 = -5.36384368533203585378e-05L
+data8 0x85C0BE825680E148, 0x00003FEA //A2 = +4.98268406609692971520e-07L
+data8 0x9F058A389D7BA177, 0x0000BFE3 //A3 = -4.62813885933188677790e-09L
+data8 0xBD0B751F0A6BAC7A, 0x00003FDC //A4 = +4.29838009673609430305e-11L
+data8 0xE0B6823570502E9D, 0x0000BFD5 //A5 = -3.99170340031272728535e-13L
+data8 0x858A9C52FC426D86, 0x00003FCF //A6 = +3.70651975271664045723e-15L
+data8 0x9EB4438BFDF1928D, 0x0000BFC8 //A7 = -3.44134780748056488222e-17L
+data8 0xBC968DCD8C06D74E, 0x00003FC1 //A8 = +3.19480670422195579127e-19L
+data8 0xE0133A405F782125, 0x0000BFBA //A9 = -2.96560935615546392028e-21L
+data8 0x851AFEBB70D07E79, 0x00003FB4 //A10 = +2.75255617931932536111e-23L
+data8 0x9E1E21A841BF8738, 0x0000BFAD //A11 = -2.55452923487640676799e-25L
+data8 0xBBCF2EF1C6E72327, 0x00003FA6 //A12 = +2.37048675755308004410e-27L
+data8 0xDF0D320CF12B8BCB, 0x0000BF9F //A13 = -2.19945804585962185550e-29L
+data8 0x8470A76DE5FCADD8, 0x00003F99 //A14 = +2.04056213851532266258e-31L
+data8 0x9D41C15F6A6FBB04, 0x0000BF92 //A15 = -1.89291056020108587823e-33L
+LOCAL_OBJECT_END(erfc_Q_table)
+
+
+.section .text
+GLOBAL_LIBM_ENTRY(erfcl)
+ 
+{ .mfi
+      alloc          r32 = ar.pfs, 0, 36, 4, 0
+      fma.s1         FR_Tmp = f1, f1, f8                   // |x|+1, if x >= 0
+      nop.i          0
+}
+{ .mfi
+      addl           GR_ad_Arg    = @ltoff(exp_table_1), gp
+      fms.s1         FR_Tmp1 = f1, f1, f8                   // |x|+1, if x < 0
+      mov            GR_rshf_2to51 = 0x4718         // begin 1.10000 2^(63+51)
+}
+;;
+
+{ .mfi
+      ld8            GR_ad_Arg = [GR_ad_Arg]             // Point to Arg table
+      fcmp.ge.s1     p6,p7 = f8, f0                     // p6: x >= 0 ,p7: x<0
+      shl            GR_rshf_2to51 = GR_rshf_2to51,48 // end 1.10000 2^(63+51)
+}
+{ .mlx
+      mov            GR_rshf = 0x43e8     // begin 1.1000 2^63 for right shift
+      movl           GR_sig_inv_ln2 = 0xb8aa3b295c17f0bc   // signif. of 1/ln2
+}
+;;
+
+{ .mfi
+      mov            GR_exp_2tom51 = 0xffff-51
+      fclass.m       p8,p0 = f8,0x07                            // p8:   x = 0
+      shl            GR_rshf = GR_rshf,48   // end 1.1000 2^63 for right shift
+}
+{ .mfi
+      nop.m          0
+      fnma.s1        FR_norm_x   = f8, f8, f0             //high bits for -x^2
+      nop.i          0         
+}
+;;
+
+.pred.rel "mutex",p6,p7
+{ .mfi
+      setf.sig       FR_INV_LN2_2TO63 = GR_sig_inv_ln2    // form 1/ln2 * 2^63
+(p6)  fma.s1         FR_AbsArg = f1, f0, f8                  // |x|, if x >= 0
+      nop.i          0    
+}
+{ .mfi
+      setf.d         FR_RSHF_2TO51 = GR_rshf_2to51    //const 1.10 * 2^(63+51)
+(p7)  fms.s1         FR_AbsArg = f1, f0, f8                   // |x|, if x < 0
+      mov            GR_exp_mask = 0x1FFFF               // Form exponent mask
+}
+;;
+
+{ .mfi
+      ldfe           FR_ch_dx = [GR_ad_Arg], 16
+      fclass.m       p10,p0 = f8, 0x21                        // p10: x = +inf
+      mov            GR_exp_bias = 0x0FFFF                // Set exponent bias
+}
+{ .mlx                    
+      setf.d         FR_RSHF = GR_rshf      // Right shift const 1.1000 * 2^63
+      movl           GR_ERFC_XC_TB = 0x650  
+}
+;;
+
+.pred.rel "mutex",p6,p7
+{ .mfi
+      setf.exp       FR_2TOM51 = GR_exp_2tom51    // 2^-51 for scaling float_N
+(p6)  fma.s1         FR_Tmp = FR_Tmp, FR_Tmp, f0            // (|x|+1)^2,x >=0
+      nop.i          0
+}
+{ .mfi
+      ldfpd          FR_POS_ARG_ASYMP,FR_NEG_ARG_ASYMP = [GR_ad_Arg], 16
+(p7)  fma.s1         FR_Tmp = FR_Tmp1, FR_Tmp1, f0           // (|x|+1)^2, x<0
+      mov            GR_0x1 = 0x1 
+}
+;;
+
+//p8: y = 1.0, x = 0.0,quick exit 
+{ .mfi
+      ldfpd          FR_dx,FR_dx1 = [GR_ad_Arg], 16
+      fclass.m       p9,p0 = f8, 0x22                          // p9: x = -inf
+      nop.i          0
+
+}
+{ .mfb
+      nop.m          0      
+(p8)  fma.s0         f8 = f1, f1, f0     
+(p8)  br.ret.spnt    b0             
+}
+;;
+
+{ .mfi
+      ldfe           FR_UnfBound = [GR_ad_Arg], 16      
+      fclass.m       p11,p0 = f8, 0xc3                        // p11: x = nan
+      mov            GR_BIAS = 0x0FFFF 
+}
+{ .mfi
+      nop.m          0
+      fma.s1         FR_NormX = f8,f1,f0
+      nop.i          0
+}
+;;
+
+{ .mfi
+      ldfe           FR_EpsNorm = [GR_ad_Arg], 16
+      fmerge.s       FR_X = f8,f8
+      nop.i          0
+}
+{ .mfi
+      nop.m          0
+      fma.s1         FR_xsq_lo = f8, f8, FR_norm_x        // low bits for -x^2
+      nop.i          0
+}
+;;
+
+{ .mfi
+      add            GR_ad_C = 0x20, GR_ad_Arg             // Point to C table
+      nop.f          0 
+      add            GR_ad_T1 = 0x50, GR_ad_Arg           // Point to T1 table
+}
+{ .mfi
+      add            GR_ad_T2 = 0x150, GR_ad_Arg          // Point to T2 table
+      nop.f          0 
+      add            GR_ERFC_XC_TB = GR_ERFC_XC_TB, GR_ad_Arg //poin.to XB_TBL
+}
+;;
+
+{ .mfi
+      getf.exp       GR_signexp_x = FR_norm_x  // Extr. sign and exponent of x
+      fma.s1         FR_Tmp = FR_Tmp, FR_Tmp, f0                  // (|x|+1)^4
+      add            GR_ad_W1 = 0x100, GR_ad_T2           // Point to W1 table
+}
+{ .mfi
+      ldfe           FR_L_hi = [GR_ad_Arg],16                      // Get L_hi
+      nop.f          0
+      add            GR_ad_W2 = 0x300, GR_ad_T2           // Point to W2 table
+}
+;;
+
+// p9: y = 2.0, x = -inf, quick exit
+{ .mfi
+      sub            GR_mBIAS = r0, GR_BIAS 
+      fma.s1         FR_2 = f1, f1, f1
+      nop.i          0      
+}
+{ .mfb
+      ldfe           FR_L_lo = [GR_ad_Arg],16                      // Get L_lo
+(p9)  fma.s0         f8 = f1, f1, f1  
+(p9)  br.ret.spnt    b0 
+}
+;;
+
+// p10: y = 0.0, x = +inf, quick exit
+{ .mfi
+      adds           GR_ERFC_P_TB = 0x380, GR_ERFC_XC_TB   // pointer to P_TBL
+      fma.s1         FR_N_signif = FR_norm_x, FR_INV_LN2_2TO63, FR_RSHF_2TO51
+      and            GR_exp_x = GR_signexp_x, GR_exp_mask
+}
+{ .mfb    
+      adds           GR_ERFC_S_TB = 0x1C0, GR_ERFC_XC_TB   // pointer to S_TBL
+(p10) fma.s0         f8 = f0, f1, f0 
+(p10) br.ret.spnt    b0  
+}
+;;
+
+// p12: |x| < 0.681...  ->  dx = 0.875 (else dx = 0.625 )
+// p11: y = x, x = nan, quick exit
+{ .mfi
+      ldfe           FR_C3 = [GR_ad_C],16           // Get C3 for normal path
+      fcmp.lt.s1     p12,p0 = FR_AbsArg, FR_ch_dx          
+      shl            GR_ShftPi_bias = GR_BIAS, 8                //  BIAS * 256
+}
+{ .mfb
+      sub            GR_exp_x = GR_exp_x, GR_exp_bias          // Get exponent
+(p11) fma.s0         f8 = f8, f1, f0
+(p11) br.ret.spnt    b0                     
+
+}
+;;
+
+{ .mfi
+      ldfe           FR_C2 = [GR_ad_C],16              // Get A2 for main path
+      nop.f          0
+      nop.i          0
+}
+;;
+
+//p15: x > POS_ARG_ASYMP = 107.0 -> erfcl(x) ~=~ 0.0
+{ .mfi
+      ldfe           FR_C1 = [GR_ad_C],16              // Get C1 for main path
+(p6)  fcmp.gt.unc.s1 p15,p0 = FR_AbsArg, FR_POS_ARG_ASYMP        // p6: x >= 0
+      nop.i          0    
+}
+{ .mfb
+      nop.m          0
+(p12) fma.s1         FR_dx = FR_dx1, f1, f0   //p12: dx = 0.875 for x < 0.681
+      nop.b          0
+}
+;;
+
+//p14: x < - NEG_ARG_ASYMP = -6.5 -> erfcl(x) ~=~ 2.0
+{ .mfi
+      nop.m          0
+(p7)  fcmp.gt.unc.s1 p14,p0 = FR_AbsArg,FR_NEG_ARG_ASYMP          // p7: x < 0
+      shladd         GR_ShftXBi_bias = GR_mBIAS, 4, r0
+}
+;; 
+
+{ .mfi
+      nop.m          0
+      fma.s0         FR_Tmpf = f1, f1, FR_EpsNorm                    // flag i
+      nop.i          0
+}
+{ .mfi
+      nop.m          0
+      fms.s1         FR_float_N = FR_N_signif, FR_2TOM51, FR_RSHF  
+      nop.i          0
+}
+;;
+
+// p8: x < UnfBound ~=~ 106.53... -> result without underflow error
+// p14: y ~=~ 2, x < -6.5,quick exit
+{ .mfi
+      getf.exp       GR_IndxPlusBias = FR_Tmp      // exp + bias for (|x|+1)^4
+      fcmp.lt.s1     p8,p0 = FR_NormX,FR_UnfBound   
+      nop.i          0
+}
+{ .mfb
+      nop.m          0
+(p14) fnma.s0        FR_RESULT = FR_EpsNorm,FR_EpsNorm,FR_2
+(p14) br.ret.spnt    b0               
+
+}
+;;
+
+// p15: y ~=~ 0.0 (result with underflow error), x > POS_ARG_ASYMP = 107.0,
+// call __libm_error_region 
+{ .mfb
+(p15) mov            GR_Parameter_TAG = 207
+(p15) fma.s0         FR_RESULT = FR_EpsNorm,FR_EpsNorm,f0 
+(p15) br.cond.spnt   __libm_error_region        
+}
+;;
+
+{ .mfi
+      getf.sig       GR_N_fix = FR_N_signif          // Get N from significand
+      nop.f          0
+      shl            GR_ShftPi = GR_IndxPlusBias, 8
+     
+}
+{ .mfi
+      shladd         GR_ShftXBi = GR_IndxPlusBias, 4, GR_ShftXBi_bias
+      nop.f          0
+      nop.i          0
+}
+;;
+
+{ .mmi
+      add            GR_ERFC_S_TB = GR_ERFC_S_TB, GR_ShftXBi    //poin.to S[i]
+      add            GR_ERFC_XC_TB = GR_ERFC_XC_TB, GR_ShftXBi //poin.to XC[i]
+      sub            GR_ShftPi = GR_ShftPi, GR_ShftPi_bias            // 256*i
+}
+;;
+
+{ .mfi
+      ldfe           FR_Xc  = [GR_ERFC_XC_TB]
+      fma.s1         FR_Xpdx_hi = FR_AbsArg, f1, FR_dx              //  x + dx
+      add            GR_ShftA14 = 0xE0, GR_ShftPi     // pointer shift for A14
+
+ 
+}
+{ .mfi
+      ldfe           FR_S  = [GR_ERFC_S_TB]
+      fnma.s1        FR_r = FR_L_hi, FR_float_N, FR_norm_x//r= -L_hi*float_N+x
+      add            GR_ShftA15 = 0xF0, GR_ShftPi     // pointer shift for A15
+}
+;;
+
+{ .mfi
+      add            GR_P_POINT_1 = GR_ERFC_P_TB, GR_ShftA14 // pointer to A14
+      fcmp.gt.s1     p9,p10 = FR_AbsArg, FR_dx      //p9: x > dx, p10: x <= dx
+      extr.u         GR_M1 = GR_N_fix, 6, 6               // Extract index M_1
+}
+{ .mfi
+      add            GR_P_POINT_2 = GR_ERFC_P_TB, GR_ShftA15 // pointer to A15
+      nop.f          0
+      nop.i          0
+
+}
+;;
+
+{ .mfi              
+      ldfe           FR_A14 = [GR_P_POINT_1], -32
+      nop.f          0                  
+      extr.u         GR_M2 = GR_N_fix, 0, 6               // Extract index M_2
+}
+{ .mfi              
+      ldfe           FR_A15 = [GR_P_POINT_2], -32
+      nop.f          0            
+      shladd         GR_ad_W1 = GR_M1,3,GR_ad_W1                // Point to W1
+}
+;;
+
+{ .mfi
+      ldfe           FR_A12 = [GR_P_POINT_1], -64
+      nop.f          0
+      extr           GR_K = GR_N_fix, 12, 32         // Extract limite range K
+}
+{ .mfi
+      ldfe           FR_A13 = [GR_P_POINT_2], -64
+      nop.f          0
+      shladd         GR_ad_T1 = GR_M1,2,GR_ad_T1                // Point to T1
+}
+;;    
+
+{ .mfi
+      ldfe           FR_A8 = [GR_P_POINT_1], 32
+      nop.f          0
+      add            GR_exp_2_k = GR_exp_bias, GR_K    // Form exponent of 2^k
+}
+{ .mfi
+      ldfe           FR_A9 = [GR_P_POINT_2], 32
+      nop.f          0
+      shladd         GR_ad_W2 = GR_M2,3,GR_ad_W2                // Point to W2
+}
+;;
+  
+{ .mfi
+      ldfe           FR_A10 = [GR_P_POINT_1], -96   
+      nop.f          0
+      shladd         GR_ad_T2 = GR_M2,2,GR_ad_T2                // Point to T2
+}
+{ .mfi
+      ldfe           FR_A11 = [GR_P_POINT_2], -96    
+      fnma.s1        FR_r = FR_L_lo, FR_float_N, FR_r //r = -L_lo*float_N + r
+      nop.i          0
+}
+;;   
+
+{ .mfi              
+      ldfe           FR_A4 = [GR_P_POINT_1], 32
+(p10) fms.s1         FR_Tmp = FR_dx,f1, FR_Xpdx_hi   //for lo  of  x+dx, x<=dx
+      nop.i          0
+}
+{ .mfi              
+      ldfe           FR_A5 = [GR_P_POINT_2], 32
+(p9)  fms.s1         FR_Tmp = FR_AbsArg, f1, FR_Xpdx_hi //for lo of x+dx, x>dx
+      nop.i          0
+}
+;;
+
+{ .mfi       
+      ldfe           FR_A6 = [GR_P_POINT_1], -64     
+      frcpa.s1       FR_U,p11 = f1, FR_Xpdx_hi          //  hi of  1 /(x + dx)
+      nop.i          0
+}
+{ .mfi      
+      ldfe           FR_A7 = [GR_P_POINT_2], -64  
+      nop.f          0
+      nop.i          0
+}
+;;
+
+{ .mfi
+      ldfe           FR_A2 = [GR_P_POINT_1], -32
+      nop.f          0            
+      nop.i          0       
+}
+{ .mfi
+      ldfe           FR_A3 = [GR_P_POINT_2], -32
+      nop.f          0      
+      nop.i          0       
+}
+;;
+
+{ .mfi      
+      ldfe           FR_A0 = [GR_P_POINT_1], 224
+      nop.f          0
+      nop.i          0
+}
+{ .mfi
+      ldfe           FR_A1 = [GR_P_POINT_2]
+      fms.s1         FR_LocArg = FR_AbsArg, f1, FR_Xc       // xloc = x - x[i]
+      nop.i          0
+}
+;;
+
+{ .mfi
+      ldfd           FR_W1 = [GR_ad_W1],0                            // Get W1
+      nop.f          0            
+      nop.i          0       
+}
+{ .mfi
+      ldfd           FR_W2 = [GR_ad_W2],0                            // Get W2
+      fma.s1         FR_poly = FR_r, FR_C3, FR_C2        // poly = r * A3 + A2
+      nop.i          0       
+}
+;;
+
+{ .mfi
+      ldfs           FR_T1 = [GR_ad_T1],0                            // Get T1
+(p10) fma.s1         FR_Xpdx_lo = FR_AbsArg,f1, FR_Tmp//lo of x + dx , x <= dx
+      nop.i          0 
+}
+{ .mfi
+      ldfs           FR_T2 = [GR_ad_T2],0                            // Get T2
+(p9)  fma.s1         FR_Xpdx_lo = FR_dx,f1, FR_Tmp   // lo  of  x + dx, x > dx
+      nop.i          0 
+}
+;;
+
+{ .mfi
+      nop.m          0
+      fnma.s1        FR_Tmp1 = FR_Xpdx_hi, FR_U, FR_2        //  N-R, iter. N1
+      nop.i          0 
+}
+{ .mfi
+      nop.m          0
+      fmpy.s1        FR_rsq = FR_r, FR_r                        // rsq = r * r
+      nop.i          0 
+}
+;;
+
+{ .mfi
+      setf.exp       FR_scale = GR_exp_2_k                  // Set scale = 2^k
+      fma.s1         FR_P15_1_1 = FR_LocArg, FR_LocArg, f0          // xloc ^2
+      nop.i          0
+}
+{ .mfi
+      nop.m          0 
+      fma.s1         FR_P15_0_1 = FR_A15, FR_LocArg, FR_A14 
+      nop.i          0 
+}
+;;
+
+{ .mfi
+      nop.m          0
+      fma.s1         FR_P15_1_2 = FR_A13, FR_LocArg, FR_A12 
+      nop.i          0 
+}
+{ .mfi
+      nop.m          0
+      fma.s1         FR_poly = FR_r, FR_poly, FR_C1    // poly = r * poly + A1
+      nop.i          0 
+}
+;;
+
+{ .mfi
+      nop.m          0
+      fma.s1         FR_P15_2_1 = FR_A9, FR_LocArg, FR_A8 
+      nop.i          0 
+}
+{ .mfi
+      nop.m          0
+      fma.s1         FR_P15_2_2 = FR_A11, FR_LocArg, FR_A10 
+      nop.i          0
+}
+;;
+
+{ .mfi
+      nop.m          0
+      fma.s1         FR_U = FR_U, FR_Tmp1, f0                //  N-R, iter. N1
+      nop.i          0
+}
+;;
+
+{ .mfi
+      nop.m          0
+      fma.s1         FR_P15_3_1 = FR_A5, FR_LocArg, FR_A4
+      nop.i          0                   
+}
+{ .mfi
+      nop.m          0
+      fma.s1         FR_P15_3_2 = FR_A7, FR_LocArg, FR_A6
+      nop.i          0
+}
+;;
+
+{ .mfi
+      nop.m          0
+      fma.s1         FR_P15_4_2 = FR_A3, FR_LocArg, FR_A2
+      nop.i          0
+}
+{ .mfi
+      nop.m          0
+      fma.s1         FR_W = FR_W1, FR_W2, FR_W2            // W = W1 * W2 + W2
+      nop.i          0
+}
+;; 
+                      
+{ .mfi
+      nop.m          0
+      fmpy.s1        FR_T = FR_T1, FR_T2                        // T = T1 * T2
+      nop.i          0
+}
+{ .mfi
+      nop.m          0
+      fma.s1         FR_P15_7_1 = FR_P15_0_1, FR_P15_1_1, FR_P15_1_2
+      nop.i          0
+}
+;;
+
+{ .mfi
+      nop.m          0
+      fma.s1         FR_P15_7_2 = FR_P15_1_1, FR_P15_1_1, f0         // xloc^4
+      nop.i          0
+}
+{ .mfi
+      nop.m          0
+      fma.s1         FR_P15_8_1 = FR_P15_1_1, FR_P15_2_2, FR_P15_2_1
+      nop.i          0
+}
+;;
+
+{ .mfi
+      nop.m          0
+      fnma.s1        FR_Tmp = FR_Xpdx_hi, FR_U, FR_2         //  N-R, iter. N2
+      nop.i          0
+}
+
+{ .mfi
+      nop.m          0
+      fma.s1         FR_poly = FR_rsq, FR_poly, FR_r  // poly = rsq * poly + r
+      nop.i          0
+}
+;;
+
+{ .mfi
+      nop.m          0
+      fma.s1         FR_P15_9_1 = FR_P15_1_1, FR_P15_4_2, FR_A0
+      nop.i          0
+}
+{ .mfi
+      nop.m          0
+      fma.s1         FR_P15_9_2 = FR_P15_1_1, FR_P15_3_2, FR_P15_3_1
+      nop.i          0
+}
+;;
+
+{ .mfi
+      nop.m          0
+      fma.s1         FR_W = FR_W, f1, FR_W1                      // W = W + W1
+      nop.i          0
+}
+;;
+
+{ .mfi
+      nop.m          0
+      fma.s1         FR_T_scale = FR_T, FR_scale, f0    // T_scale = T * scale
+      nop.i          0 
+}
+;;
+
+{ .mfi
+      nop.m          0
+      fma.s1         FR_P15_13_1 = FR_P15_7_2, FR_P15_7_1, FR_P15_8_1
+      nop.i          0
+}
+;;
+
+{ .mfi
+      nop.m          0
+      fma.s1         FR_U = FR_U, FR_Tmp, f0                 //  N-R, iter. N2
+      nop.i          0 
+}
+;;
+
+{ .mfi
+      nop.m          0
+      fma.s1         FR_P15_14_1 = FR_P15_7_2, FR_P15_9_2, FR_P15_9_1
+      nop.i          0
+}
+{ .mfi
+      nop.m          0
+      fma.s1         FR_P15_14_2 = FR_P15_7_2, FR_P15_7_2, f0        // xloc^8
+      nop.i          0
+}
+;;
+
+{ .mfi
+      nop.m          0
+      fma.s1         FR_M =  FR_T_scale, FR_S, f0 
+      nop.i          0 
+}
+;;
+
+{ .mfi
+      nop.m          0
+      fnma.s1        FR_Tmp = FR_Xpdx_hi, FR_U, FR_2         //  N-R, iter. N3
+      nop.i          0 
+}
+;;
+
+{ .mfi
+      nop.m          0
+      fma.s1         FR_Q = FR_P15_14_2, FR_P15_13_1, FR_P15_14_1
+      nop.i          0
+}
+;;
+
+{ .mfi
+      nop.m          0
+      fms.s1         FR_H = FR_W, f1, FR_xsq_lo              // H = W - xsq_lo
+      nop.i          0 
+}
+;;
+
+{ .mfi
+      nop.m          0
+      fma.s1         FR_U = FR_U, FR_Tmp, f0                 //  N-R, iter. N3
+      nop.i          0 
+}
+;;
+
+{ .mfi
+      nop.m          0
+      fma.s1         FR_Q = FR_A1, FR_LocArg, FR_Q         
+      nop.i          0
+}
+;;
+
+{ .mfi
+      nop.m          0
+      fnma.s1        FR_Tmp = FR_Xpdx_hi, FR_U, f1                   // for du
+      nop.i          0 
+}
+{ .mfi
+      nop.m          0
+      fma.s1         FR_R = FR_H, FR_poly, FR_poly  
+      nop.i          0 
+}
+;;
+
+{ .mfi
+      nop.m          0
+      fma.s1         FR_res_pos_x_hi = FR_M, FR_U, f0                 //  M *U
+      nop.i          0
+ 
+}
+;;  
+
+{ .mfi
+      nop.m          0
+      fma.s1         FR_R = FR_R, f1, FR_H            // R = H + P(r) + H*P(r)
+      nop.i          0 
+}
+;;
+
+{ .mfi
+      nop.m          0
+      fma.s0         FR_Tmpf = f8, f1, f0                          //  flag  d
+      nop.i          0 
+}
+;;
+
+{ .mfi
+      nop.m          0
+      fnma.s1        FR_dU = FR_Xpdx_lo, FR_U, FR_Tmp 
+      nop.i          0 
+}
+;;
+
+// p7: we begin to calculate y(x) = 2 - erfcl(-x) in multi precision
+// for -6.5 <= x < 0
+{ .mfi
+      nop.m          0
+      fms.s1         FR_res_pos_x_lo = FR_M, FR_U, FR_res_pos_x_hi 
+      nop.i          0                      
+ 
+}
+{ .mfi
+      nop.m          0
+(p7)  fnma.s1        FR_Tmp1 = FR_res_pos_x_hi, f1, FR_2           //p7: x < 0
+      nop.i          0                      
+ 
+}
+;;
+
+{ .mfi
+      nop.m          0
+      fma.s1         FR_G = FR_R, FR_Q, FR_Q    
+      nop.i          0
+ 
+}
+;;
+
+{ .mfi
+      nop.m          0
+      fma.s1         FR_Tmp = FR_R, f1, FR_dU                       //  R + du
+      nop.i          0
+ 
+}
+;;
+
+{ .mfi
+      nop.m          0
+(p7)  fnma.s1        FR_Tmp2 = FR_Tmp1, f1, FR_2                   //p7: x < 0
+      nop.i          0                      
+ 
+}
+;;
+
+{ .mfi
+      nop.m          0
+      fma.s1         FR_G = FR_G, f1, FR_Tmp    
+      nop.i          0
+ 
+}
+;;
+
+{ .mfi
+      nop.m          0
+(p7)  fnma.s1        FR_Tmp2 = FR_res_pos_x_hi, f1, FR_Tmp2        //p7: x < 0
+      nop.i          0                      
+ 
+}
+;;
+
+{ .mfi
+      nop.m          0
+      fma.s1         FR_V = FR_G, FR_res_pos_x_hi, f0          // V = G * M *U
+      nop.i          0
+ 
+}
+;;
+
+{ .mfi
+      nop.m          0
+(p7)  fma.s1         FR_res_pos_x_lo = FR_res_pos_x_lo, f1, FR_V   //p7: x < 0
+      nop.i          0                      
+ 
+}
+;;
+
+{ .mfi
+      nop.m          0
+(p7)  fnma.s1        FR_Tmp2 = FR_res_pos_x_lo, f1, FR_Tmp2        //p7: x < 0
+      nop.i          0                      
+ 
+}
+;;
+
+
+//p6: result for     0 < x < = POS_ARG_ASYMP 
+//p7: result for   - NEG_ARG_ASYMP  <= x < 0
+//p8: exit   for   - NEG_ARG_ASYMP  <=   x < UnfBound
+
+ERFC_RESULT:                 
+.pred.rel "mutex",p6,p7
+{ .mfi
+      nop.m          0
+(p6)  fma.s0         f8 = FR_M, FR_U, FR_V                       // p6: x >= 0
+      nop.i          0         
+}
+{ .mfb
+      mov            GR_Parameter_TAG = 207
+(p7)  fma.s0         f8 = FR_Tmp2, f1, FR_Tmp1                    // p7: x < 0
+(p8)  br.ret.sptk    b0                                      
+};;
+
+GLOBAL_LIBM_END(erfcl)
+// call via (p15) br.cond.spnt   __libm_error_region
+//          for  x > POS_ARG_ASYMP
+// or
+//
+// after .endp erfcl for UnfBound < = x < = POS_ARG_ASYMP
+
+LOCAL_LIBM_ENTRY(__libm_error_region)
+.prologue
+{ .mfi
+        add   GR_Parameter_Y=-32,sp                       // Parameter 2 value
+        nop.f 0
+.save   ar.pfs,GR_SAVE_PFS
+        mov  GR_SAVE_PFS=ar.pfs                                 // Save ar.pfs
+}
+{ .mfi
+.fframe 64 
+        add sp=-64,sp                                      // Create new stack
+        nop.f 0
+        mov GR_SAVE_GP=gp                                           // Save gp
+};;
+{ .mmi
+        stfe [GR_Parameter_Y] = FR_Y,16          // STORE Parameter 2 on stack
+        add GR_Parameter_X = 16,sp                      // Parameter 1 address
+.save   b0, GR_SAVE_B0                      
+        mov GR_SAVE_B0=b0                                           // Save b0
+};;
+.body
+{ .mib
+        stfe [GR_Parameter_X] = FR_X             // STORE Parameter 1 on stack
+        add   GR_Parameter_RESULT = 0,GR_Parameter_Y    // Parameter 3 address
+        nop.b 0        
+}
+{ .mib
+        stfe [GR_Parameter_Y] = FR_RESULT        // STORE Parameter 3 on stack
+        add   GR_Parameter_Y = -16,GR_Parameter_Y  
+        br.call.sptk b0=__libm_error_support#  // Call error handling function
+};;
+{ .mmi
+        nop.m 0
+        nop.m 0
+        add   GR_Parameter_RESULT = 48,sp
+};;
+{ .mmi
+        ldfe  f8 = [GR_Parameter_RESULT]        // Get return result off stack
+.restore sp
+        add   sp = 64,sp                              // Restore stack pointer
+        mov   b0 = GR_SAVE_B0                        // Restore return address
+};;
+{ .mib
+        mov   gp = GR_SAVE_GP                                    // Restore gp
+        mov   ar.pfs = GR_SAVE_PFS                           // Restore ar.pfs
+        br.ret.sptk     b0                                           // Return
+};; 
+
+LOCAL_LIBM_END(__libm_error_region)
+.type   __libm_error_support#,@function
+.global __libm_error_support#
+
+
+
diff --git a/sysdeps/ia64/fpu/s_erff.S b/sysdeps/ia64/fpu/s_erff.S
new file mode 100644
index 0000000000..204446fbdf
--- /dev/null
+++ b/sysdeps/ia64/fpu/s_erff.S
@@ -0,0 +1,557 @@
+.file "erff.s"
+
+
+// Copyright (c) 2001 - 2003, Intel Corporation
+// All rights reserved.
+//
+// Contributed 2001 by the Intel Numerics Group, Intel Corporation
+//
+// Redistribution and use in source and binary forms, with or without
+// modification, are permitted provided that the following conditions are
+// met:
+//
+// * Redistributions of source code must retain the above copyright
+// notice, this list of conditions and the following disclaimer.
+//
+// * Redistributions in binary form must reproduce the above copyright
+// notice, this list of conditions and the following disclaimer in the
+// documentation and/or other materials provided with the distribution.
+//
+// * The name of Intel Corporation may not be used to endorse or promote
+// products derived from this software without specific prior written
+// permission.
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
+// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS 
+// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, 
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY 
+// OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 
+// 
+// Intel Corporation is the author of this code, and requests that all
+// problem reports or change requests be submitted to it directly at 
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
+//
+// History
+//==============================================================
+// 08/14/01 Initial version
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 02/06/03 Reordered header: .section, .global, .proc, .align
+//
+// API
+//==============================================================
+// float erff(float)
+//
+// Overview of operation
+//==============================================================
+// Background
+//
+//
+// There are 8 paths:
+// 1. x = +/-0.0
+//    Return erff(x) = +/-0.0
+//
+// 2. 0.0 < |x| < 0.125
+//    Return erff(x) = x *Pol3(x^2),
+//    where Pol3(x^2) = C3*x^6 + C2*x^4 + C1*x^2 + C0
+//
+// 3. 0.125 <= |x| < 4.0
+//    Return erff(x) = sign(x)*PolD(x)*PolC(|x|) + sign(x)*PolA(|x|),
+//    where sign(x)*PolD(x) = sign(x)*(|x|^7 + D2*x^6 + D1*|x|^5 + D0*x^4),
+//          PolC(|x|) = B0*x^4 + C3*|x|^3 + C2*|x|^2 + C1*|x| + C0,
+//          PolA(|x|) = A3|x|^3 + A2*x^2 + A1*|x| + A0
+//
+//    Actually range 0.125<=|x|< 4.0 is splitted to 5 subranges.
+//    For each subrange there is particular set of coefficients.
+//    Below is the list of subranges:
+//    3.1 0.125 <= |x| < 0.25
+//    3.2 0.25 <= |x| < 0.5
+//    3.3 0.5 <= |x| < 1.0
+//    3.4 1.0 <= |x| < 2.0
+//    3.5 2.0 <= |x| < 4.0
+//
+// 4. 4.0 <= |x| < +INF
+//    Return erff(x) = sign(x)*(1.0d - 2^(-52))
+//
+// 5. |x| = INF
+//    Return erff(x) = sign(x) * 1.0
+//
+// 6. x = [S,Q]NaN 
+//    Return erff(x) = QNaN
+//
+// 7. x is positive denormal
+//    Return erff(x) = C0*x - x^2,
+//    where C0 = 2.0/sqrt(Pi)
+//
+// 8. x is negative denormal
+//    Return erff(x) = C0*x + x^2,
+//    where C0 = 2.0/sqrt(Pi)
+//
+// Registers used
+//==============================================================
+// Floating Point registers used: 
+// f8, input
+// f32 -> f59
+
+// General registers used:  
+// r32 -> r45, r2, r3
+
+// Predicate registers used:
+// p0, p6 -> p12, p14, p15
+
+// p6           to filter out case when x = [Q,S]NaN or +/-0
+// p7           to filter out case when x = denormal
+// p8           set if |x| >= 0.3125, used also to process denormal input
+// p9           to filter out case when |x| = inf
+// p10          to filter out case when |x| < 0.125
+// p11          to filter out case when 0.125 <= |x| < 4.0
+// p12          to filter out case when |x| >= 4.0
+// p14          set to 1 for positive x
+// p15          set to 1 for negative x
+
+// Assembly macros
+//==============================================================
+rDataPtr           = r2
+rDataPtr1          = r3
+
+rBias              = r33
+rCoeffAddr3        = r34
+rCoeffAddr1        = r35
+rCoeffAddr2        = r36
+rOffset2           = r37
+rBias2             = r38
+rMask              = r39
+rArg               = r40
+rBound             = r41
+rSignBit           = r42
+rAbsArg            = r43
+rDataPtr2          = r44
+rSaturation        = r45
+
+//==============================================================
+fA0                = f32
+fA1                = f33
+fA2                = f34
+fA3                = f35
+fC0                = f36
+fC1                = f37
+fC2                = f38
+fC3                = f39
+fD0                = f40
+fD1                = f41
+fD2                = f42
+fB0                = f43
+fArgSqr            = f44
+fAbsArg            = f45
+fSignumX           = f46
+fArg4              = f47
+fArg4Sgn           = f48
+fArg3              = f49
+fArg3Sgn           = f50
+fArg7Sgn           = f51
+fArg6Sgn           = f52
+fPolC              = f53
+fPolCTmp           = f54
+fPolA              = f55
+fPolATmp           = f56
+fPolD              = f57
+fPolDTmp           = f58
+fArgSqrSgn         = f59
+
+// Data tables
+//==============================================================
+
+RODATA
+
+.align 16
+
+LOCAL_OBJECT_START(erff_data)
+// Polynomial coefficients for the erf(x), 0.125 <= |x| < 0.25
+data8 0xBE4218BB56B49E66 // C0
+data8 0x3F7AFB8315DA322B // C1
+data8 0x3F615D6EBEE0CA32 // C2
+data8 0xBF468D71CF4F0918 // C3
+data8 0x40312115B0932F24 // D0
+data8 0xC0160D6CD0991EA3 // D1
+data8 0xBFE04A567A6DBE4A // D2
+data8 0xBF4207BC640D1509 // B0   
+// Polynomial coefficients for the erf(x), 0.25 <= |x| < 0.5
+data8 0x3F90849356383F58 // C0
+data8 0x3F830BD5BA240F09 // C1
+data8 0xBF3FA4970E2BCE23 // C2
+data8 0xBF6061798E58D0FD // C3
+data8 0xBF68C0D83DD22E02 // D0
+data8 0x401C0A9EE4108F94 // D1
+data8 0xC01056F9B5E387F5 // D2
+data8 0x3F1C9744E36A5706 // B0
+// Polynomial coefficients for the erf(x), 0.5 <= |x| < 1.0
+data8 0x3F85F7D419A13DE3 // C0
+data8 0x3F791A13FF66D45A // C1
+data8 0x3F46B17B16B5929F // C2
+data8 0xBF5124947A8BF45E // C3
+data8 0x3FA1B3FD95EA9564 // D0
+data8 0x40250CECD79A020A // D1
+data8 0xC0190DC96FF66CCD // D2
+data8 0x3F4401AE28BA4DD5 // B0
+// Polynomial coefficients for the erf(x), 1.0 <= |x| < 2.0
+data8 0xBF49E07E3584C3AE // C0
+data8 0x3F3166621131445C // C1
+data8 0xBF65B7FC1EAC2099 // C2
+data8 0x3F508C6BD211D736 // C3
+data8 0xC053FABD70601067 // D0
+data8 0x404A06640EE87808 // D1
+data8 0xC0283F30817A3F08 // D2
+data8 0xBF2F6DBBF4D6257F // B0
+// Polynomial coefficients for the erf(x), 2.0 <= |x| < 4.0
+data8 0xBF849855D67E9407 // C0
+data8 0x3F5ECA5FEC01C70C // C1
+data8 0xBF483110C30FABA4 // C2
+data8 0x3F1618DA72860403 // C3
+data8 0xC08A5C9D5FE8B9F6 // D0
+data8 0x406EFF5F088CEC4B // D1
+data8 0xC03A5743DF38FDE0 // D2
+data8 0xBEE397A9FA5686A2 // B0
+// Polynomial coefficients for the erf(x), -0.125 < x < 0.125 
+data8 0x3FF20DD7504270CB // C0
+data8 0xBFD8127465AFE719 // C1
+data8 0x3FBCE2D77791DD77 // C2
+data8 0xBF9B582755CDF345 // C3
+// Polynomial coefficients for the erf(x), 0.125 <= |x| < 0.25
+data8 0xBD54E7E451AF0E36 // A0
+data8 0x3FF20DD75043FE20 // A1
+data8 0xBE05680ACF8280E4 // A2
+data8 0xBFD812745E92C3D3 // A3
+// Polynomial coefficients for the erf(x), 0.25 <= |x| < 0.5
+data8 0xBE1ACEC2859CB55F // A0
+data8 0x3FF20DD75E8D2B64 // A1
+data8 0xBEABC6A83208FCFC // A2
+data8 0xBFD81253E42E7B99 // A3
+// Polynomial coefficients for the erf(x), 0.5 <= |x| < 1.0
+data8 0x3EABD5A2482B4979 // A0
+data8 0x3FF20DCAA52085D5 // A1
+data8 0x3F13A994A348795B // A2
+data8 0xBFD8167B2DFCDE44 // A3
+// Polynomial coefficients for the erf(x), 1.0 <= |x| < 2.0
+data8 0xBF5BA377DDAB4E17 // A0
+data8 0x3FF2397F1D8FC0ED // A1
+data8 0xBF9945BFC1915C21 // A2
+data8 0xBFD747AAABB690D8 // A3
+// Polynomial coefficients for the erf(x), 2.0 <= |x| < 4.0
+data8 0x3FF0E2920E0391AF // A0
+data8 0xC00D249D1A95A5AE // A1
+data8 0x40233905061C3803 // A2
+data8 0xC027560B851F7690 // A3
+//
+data8 0x3FEFFFFFFFFFFFFF // 1.0 - epsilon
+data8 0x3FF20DD750429B6D // C0 = 2.0/sqrt(Pi)
+LOCAL_OBJECT_END(erff_data)
+
+
+.section .text
+GLOBAL_LIBM_ENTRY(erff)
+
+{ .mfi
+      alloc          r32 = ar.pfs, 0, 14, 0, 0
+      fmerge.s       fAbsArg = f1, f8             // |x|
+      addl           rMask = 0x806, r0
+}
+{ .mfi
+      addl           rDataPtr = @ltoff(erff_data), gp
+      fma.s1         fArgSqr = f8, f8, f0         // x^2
+      adds           rSignBit = 0x1, r0
+}
+;;
+
+{ .mfi
+      getf.s         rArg = f8                    // x in GR 
+      fclass.m       p7,p0 = f8, 0x0b             // is x denormal ?
+      // sign bit and 2 most bits in significand
+      shl            rMask = rMask, 20               
+}
+{ .mfi
+      ld8            rDataPtr = [rDataPtr]
+      nop.f          0
+      adds           rBias2 = 0x1F0, r0
+}
+;;
+
+{ .mfi
+      nop.m          0
+      fmerge.s       fSignumX = f8, f1            // signum(x)
+      shl            rSignBit = rSignBit, 31      // mask for sign bit
+}
+{ .mfi
+      adds           rBound = 0x3E0, r0
+      nop.f          0
+      adds           rSaturation = 0x408, r0
+}
+;;
+
+{ .mfi
+      andcm          rOffset2 = rArg, rMask
+      fclass.m       p6,p0 = f8, 0xc7             // is x [S,Q]NaN or +/-0 ?
+      shl            rBound = rBound, 20          // 0.125f in GR 
+}
+{ .mfb
+      andcm          rAbsArg = rArg, rSignBit     // |x| in GR
+      nop.f          0
+(p7)  br.cond.spnt   erff_denormal               // branch out if x is denormal
+}
+;;
+
+{ .mfi
+      adds           rCoeffAddr2 = 352, rDataPtr
+      fclass.m       p9,p0 = f8, 0x23            // is x +/- inf?
+      shr            rOffset2 = rOffset2, 21
+}
+{ .mfi
+      cmp.lt         p10, p8 = rAbsArg, rBound   // |x| < 0.125? 
+      nop.f          0
+      adds           rCoeffAddr3 = 16, rDataPtr
+}
+;;
+
+{ .mfi
+(p8)  sub            rBias = rOffset2, rBias2
+      fma.s1         fArg4 = fArgSqr, fArgSqr, f0 // x^4
+      shl            rSaturation = rSaturation, 20// 4.0 in GR (saturation bound)
+}
+{ .mfb
+(p10) adds           rBias = 0x14, r0
+(p6)  fma.s.s0       f8 = f8,f1,f8                // NaN or +/-0
+(p6)  br.ret.spnt    b0                           // exit for x = NaN or +/-0
+}
+;;
+
+{ .mfi
+      shladd         rCoeffAddr1 = rBias, 4, rDataPtr
+      fma.s1         fArg3Sgn = fArgSqr, f8, f0  // sign(x)*|x|^3
+      // is |x| < 4.0? 
+      cmp.lt         p11, p12 = rAbsArg, rSaturation  
+}
+{ .mfi
+      shladd         rCoeffAddr3 = rBias, 4, rCoeffAddr3
+      fma.s1         fArg3 = fArgSqr, fAbsArg, f0 // |x|^3
+      shladd         rCoeffAddr2 = rBias, 3, rCoeffAddr2
+}
+;;
+
+{ .mfi
+(p11) ldfpd          fC0, fC1 = [rCoeffAddr1]
+(p9)  fmerge.s       f8 = f8,f1                   // +/- inf
+(p12) adds           rDataPtr = 512, rDataPtr 
+}
+{ .mfb
+(p11) ldfpd          fC2, fC3 = [rCoeffAddr3], 16
+      nop.f          0
+(p9)  br.ret.spnt    b0                           // exit for x = +/- inf
+}
+;;
+
+{ .mfi
+(p11) ldfpd          fA0, fA1 = [rCoeffAddr2], 16
+      nop.f          0
+      nop.i          0
+}
+{ .mfi
+      add            rCoeffAddr1 = 48, rCoeffAddr1
+      nop.f          0
+      nop.i          0
+}
+;;
+
+{ .mfi
+(p11) ldfpd          fD0, fD1 = [rCoeffAddr3]
+      nop.f          0
+      nop.i          0
+}
+{ .mfb
+(p11) ldfpd          fD2, fB0 = [rCoeffAddr1]
+      // sign(x)*|x|^2
+      fma.s1         fArgSqrSgn = fArgSqr, fSignumX, f0
+(p10) br.cond.spnt   erff_near_zero
+}
+;;
+
+{ .mfi
+(p11) ldfpd          fA2, fA3 = [rCoeffAddr2], 16
+      fcmp.lt.s1     p15, p14 = f8,f0
+      nop.i          0
+}
+{ .mfb
+(p12) ldfd           fA0 = [rDataPtr]
+      fma.s1         fArg4Sgn = fArg4, fSignumX, f0 // sign(x)*|x|^4
+(p12) br.cond.spnt   erff_saturation
+}
+;;
+{ .mfi
+      nop.m          0
+      fma.s1         fArg7Sgn = fArg4, fArg3Sgn, f0  // sign(x)*|x|^7
+      nop.i          0
+}
+{ .mfi
+      nop.m          0
+      fma.s1         fArg6Sgn = fArg3, fArg3Sgn, f0  // sign(x)*|x|^6
+      nop.i          0
+}
+;;
+
+{ .mfi
+      nop.m          0
+      fma.s1         fPolC = fC3, fAbsArg, fC2    // C3*|x| + C2
+      nop.i          0
+}
+{ .mfi
+      nop.m          0
+      fma.s1         fPolCTmp = fC1, fAbsArg, fC0 // C1*|x| + C0
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      fma.s1         fPolA = fA1, fAbsArg, fA0    // A1*|x| + A0
+      nop.i          0
+}
+;;
+
+{ .mfi
+      nop.m          0
+      fma.s1         fPolD = fD1, fAbsArg, fD0    // D1*|x| + D0
+      nop.i          0
+}
+{ .mfi
+      nop.m          0
+      // sign(x)*(|x|^7 + D2*x^6)
+      fma.s1         fPolDTmp = fArg6Sgn, fD2, fArg7Sgn
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      fma.s1         fPolATmp = fA3, fAbsArg, fA2  // A3*|x| + A2 
+      nop.i          0
+}
+{ .mfi
+      nop.m          0
+      fma.s1         fB0 = fB0, fArg4, f0          // B0*x^4
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      // C3*|x|^3 + C2*x^2 + C1*|x| + C0
+      fma.s1         fPolC = fPolC, fArgSqr, fPolCTmp  
+      nop.i          0
+}
+;;
+
+{ .mfi
+      nop.m          0
+      // PolD = sign(x)*(|x|^7 + D2*x^6 + D1*|x|^5 + D0*x^4)
+      fma.d.s1       fPolD = fPolD, fArg4Sgn, fPolDTmp  
+      nop.i          0
+}
+;;
+
+{ .mfi
+      nop.m          0
+      // PolA = A3|x|^3 + A2*x^2 + A1*|x| + A0 
+      fma.d.s1       fPolA = fPolATmp, fArgSqr, fPolA 
+      nop.i          0
+}
+;;                 
+
+{ .mfi
+      nop.m          0
+      // PolC = B0*x^4 + C3*|x|^3 + C2*|x|^2 + C1*|x| + C0 
+      fma.d.s1       fPolC = fPolC, f1, fB0 
+      nop.i          0
+}
+;;     
+
+{ .mfi
+      nop.m          0
+(p14) fma.s.s0       f8 = fPolC, fPolD, fPolA     // for positive x
+      nop.i          0                           
+}
+{ .mfb
+      nop.m          0
+(p15) fms.s.s0       f8 = fPolC, fPolD, fPolA     // for negative x
+      br.ret.sptk    b0                           // Exit for 0.125 <=|x|< 4.0
+};;
+
+
+// Here if |x| < 0.125
+erff_near_zero:
+{ .mfi
+      nop.m          0
+      fma.s1         fPolC = fC3, fArgSqr, fC2    // C3*x^2 + C2
+      nop.i          0
+}
+{ .mfi
+      nop.m          0
+      fma.s1         fPolCTmp = fC1, fArgSqr, fC0  // C1*x^2 + C0
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      fma.s1         fPolC = fPolC, fArg4, fPolCTmp // C3*x^6 + C2*x^4 + C1*x^2 + C0
+      nop.i          0
+};;
+
+{ .mfb
+      nop.m          0
+      // x*(C3*x^6 + C2*x^4 + C1*x^2 + C0)
+      fma.s.s0       f8 = fPolC, f8, f0
+      br.ret.sptk    b0                           // Exit for |x| < 0.125
+};;
+
+// Here if 4.0 <= |x| < +inf
+erff_saturation:
+{ .mfb
+      nop.m          0
+      fma.s.s0       f8 = fA0, fSignumX, f0       // sign(x)*(1.0d - 2^(-52))
+      // Exit for 4.0 <= |x| < +inf
+      br.ret.sptk    b0                           // Exit for 4.0 <=|x|< +inf
+}
+;;
+      
+// Here if x is single precision denormal
+erff_denormal:
+{ .mfi
+      adds           rDataPtr = 520, rDataPtr     // address of C0
+      fclass.m       p7,p8 = f8, 0x0a             // is x -denormal ?
+      nop.i          0
+}
+;;
+{ .mfi
+      ldfd           fC0 = [rDataPtr]             // C0
+      nop.f          0
+      nop.i          0
+}
+;;
+{ .mfi
+      nop.m          0
+      fma.s1         fC0 = fC0,f8,f0              // C0*x
+      nop.i          0
+}
+;;
+{ .mfi
+      nop.m          0
+(p7)  fma.s.s0       f8 = f8,f8,fC0               // -denormal
+      nop.i          0
+}
+{ .mfb
+      nop.m          0
+(p8)  fnma.s.s0      f8 = f8,f8,fC0               // +denormal
+      br.ret.sptk    b0                           // Exit for denormal
+}
+;;
+
+GLOBAL_LIBM_END(erff)
diff --git a/sysdeps/ia64/fpu/s_erfl.S b/sysdeps/ia64/fpu/s_erfl.S
new file mode 100644
index 0000000000..902539be48
--- /dev/null
+++ b/sysdeps/ia64/fpu/s_erfl.S
@@ -0,0 +1,1239 @@
+.file "erfl.s"
+
+
+// Copyright (c) 2001 - 2003, Intel Corporation
+// All rights reserved.
+//
+// Contributed 2001 by the Intel Numerics Group, Intel Corporation
+//
+// Redistribution and use in source and binary forms, with or without
+// modification, are permitted provided that the following conditions are
+// met:
+//
+// * Redistributions of source code must retain the above copyright
+// notice, this list of conditions and the following disclaimer.
+//
+// * Redistributions in binary form must reproduce the above copyright
+// notice, this list of conditions and the following disclaimer in the
+// documentation and/or other materials provided with the distribution.
+//
+// * The name of Intel Corporation may not be used to endorse or promote
+// products derived from this software without specific prior written
+// permission.
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
+// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS 
+// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, 
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY 
+// OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 
+// 
+// Intel Corporation is the author of this code, and requests that all
+// problem reports or change requests be submitted to it directly at 
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
+//
+// History
+//==============================================================
+// 11/21/01  Initial version
+// 05/20/02  Cleaned up namespace and sf0 syntax
+// 08/14/02  Changed mli templates to mlx
+// 02/06/03  Reordered header: .section, .global, .proc, .align
+//
+// API
+//==============================================================
+// long double erfl(long double)
+//
+// Overview of operation
+//==============================================================
+//
+// Algorithm description
+// ---------------------
+//
+// There are 4 paths:
+//
+// 1. Special path: x = 0, Inf, NaNs, denormal
+//    Return erfl(x) = +/-0.0 for zeros
+//    Return erfl(x) = QNaN for NaNs
+//    Return erfl(x) = sign(x)*1.0 for Inf
+//    Return erfl(x) = (A0H+A0L)*x + x^2, ((A0H+A0L) = 2.0/sqrt(Pi))
+//                                             for denormals
+//
+// 2. [0;1/8] path: 0.0 < |x| < 1/8
+//    Return erfl(x) = x*(A1H+A1L) + x^3*A3 + ... + x^15*A15
+//
+// 3. Main path: 1/8 <= |x| < 6.53
+//    For several ranges of 1/8 <= |x| < 6.53
+//    Return erfl(x) = sign(x)*((A0H+A0L) + y*(A1H+A1L) + y^2*(A2H+A2L) + 
+//                                       + y^3*A3 + y^4*A4 + ... + y^25*A25 )
+//    where y = (|x|/a) - b
+//
+//    For each range there is particular set of coefficients.
+//    Below is the list of ranges:
+//    1/8  <= |x| < 1/4     a = 0.125, b = 1.5
+//    1/4  <= |x| < 1/2     a = 0.25,  b = 1.5
+//    1/2  <= |x| < 1.0     a = 0.5,   b = 1.5
+//    1.0  <= |x| < 2.0     a = 1.0,   b = 1.5
+//    2.0  <= |x| < 3.25    a = 2.0,   b = 1.5
+//    3.25 <= |x| < 4.0     a = 2.0,   b = 2.0
+//    4.0  <= |x| < 6.53    a = 4.0,   b = 1.5
+//    ( [3.25;4.0] subrange separated for monotonicity issues resolve )
+//
+// 4. Saturation path: 6.53 <= |x| < +INF 
+//    Return erfl(x) = sign(x)*(1.0 - tiny_value)
+//    (tiny_value ~ 1e-1233)
+//
+// Implementation notes
+// --------------------
+//
+// 1. Special path: x = 0, INF, NaNa, denormals
+//
+//    This branch is cut off by one fclass operation.
+//    Then zeros+nans, infinities and denormals processed separately.
+//    For denormals we had to use multiprecision A0 coefficient to reach
+//    necessary accuracy: (A0H+A0L)*x-x^2
+//
+// 2. [0;1/8] path: 0.0 < |x| < 1/8
+//
+//    First coefficient of polynomial we must split to multiprecision too.
+//    Also we can parallelise computations:
+//    (x*(A1H+A1L)) calculated in parallel with "tail" (x^3*A3 + ... + x^15*A15)
+//    Furthermore the second part is factorized using binary tree technique.
+//
+// 3. Main path: 1/8 <= |x| < 6.53
+//
+//    Multiprecision have to be performed only for first few
+//    polynomial iterations (up to 3-rd x degree)
+//    Here we use the same parallelisation way as above:
+//    Split whole polynomial to first, "multiprecision" part, and second, 
+//    so called "tail", native precision part.
+//
+//    1) Multiprecision part:  
+//    [v1=(A0H+A0L)+y*(A1H+A1L)] + [v2=y^2*((A2H+A2L)+y*A3)]
+//    v1 and v2 terms calculated in parallel
+//
+//    2) Tail part:
+//    v3 = x^4 * ( A4 + x*A5 + ... + x^21*A25 )
+//    v3 is splitted to 2 even parts (10 coefficient in each one).
+//    These 2 parts are also factorized using binary tree technique.
+//    
+//    So Multiprecision and Tail parts cost is almost the same
+//    and we have both results ready before final summation.
+//
+// 4. Saturation path: 6.53 <= |x| < +INF 
+//
+//    We use formula sign(x)*(1.0 - tiny_value) instead of simple sign(x)*1.0
+//    just to meet IEEE requirements for different rounding modes in this case.
+//
+// Registers used
+//==============================================================
+// Floating Point registers used: 
+// f8 - input & output
+// f32 -> f90
+
+// General registers used:  
+// r2, r3, r32 -> r52 
+
+// Predicate registers used:
+// p0, p6 -> p11, p14, p15
+
+// p6  - arg is zero, denormal or special IEEE
+// p7  - arg is in [4;8] binary interval
+// p8  - arg is in [3.25;4] interval
+// p9  - arg < 1/8
+// p10 - arg is NOT in [3.25;4] interval
+// p11 - arg in saturation domain
+// p14 - arg is positive
+// p15 - arg is negative
+
+// Assembly macros
+//==============================================================
+rDataPtr           = r2
+rTailDataPtr       = r3
+
+rBias              = r33
+rSignBit           = r34
+rInterval          = r35
+
+rArgExp            = r36
+rArgSig            = r37
+r3p25Offset        = r38
+r2to4              = r39
+r1p25              = r40
+rOffset            = r41
+r1p5               = r42
+rSaturation        = r43
+r3p25Sign          = r44
+rTiny              = r45
+rAddr1             = r46
+rAddr2             = r47
+rTailAddr1         = r48
+rTailAddr2         = r49
+rTailOffset        = r50
+rTailAddOffset     = r51
+rShiftedDataPtr    = r52
+
+//==============================================================
+fA0H               = f32
+fA0L               = f33
+fA1H               = f34
+fA1L               = f35
+fA2H               = f36
+fA2L               = f37
+fA3                = f38
+fA4                = f39
+fA5                = f40
+fA6                = f41
+fA7                = f42
+fA8                = f43
+fA9                = f44
+fA10               = f45
+fA11               = f46
+fA12               = f47
+fA13               = f48
+fA14               = f49
+fA15               = f50
+fA16               = f51
+fA17               = f52
+fA18               = f53
+fA19               = f54
+fA20               = f55 
+fA21               = f56 
+fA22               = f57 
+fA23               = f58
+fA24               = f59
+fA25               = f60
+
+fArgSqr            = f61
+fArgCube           = f62
+fArgFour           = f63
+fArgEight          = f64
+
+fArgAbsNorm        = f65
+fArgAbsNorm2       = f66
+fArgAbsNorm2L      = f67
+fArgAbsNorm3       = f68
+fArgAbsNorm4       = f69
+fArgAbsNorm11      = f70
+
+fRes               = f71
+fResH              = f72
+fResL              = f73
+fRes1H             = f74
+fRes1L             = f75
+fRes1Hd            = f76
+fRes2H             = f77
+fRes2L             = f78
+fRes3H             = f79
+fRes3L             = f80
+fRes4              = f81
+
+fTT                = f82 
+fTH                = f83
+fTL                = f84
+fTT2               = f85 
+fTH2               = f86
+fTL2               = f87
+
+f1p5               = f88
+f2p0               = f89
+fTiny              = f90
+
+
+// Data tables
+//==============================================================
+RODATA
+
+.align 64
+LOCAL_OBJECT_START(erfl_data)
+////////// Main tables ///////////
+_0p125_to_0p25_data: // exp = 2^-3
+// Polynomial coefficients for the erf(x), 1/8 <= |x| < 1/4 
+data8 0xACD9ED470F0BB048, 0x0000BFF4 //A3 = -6.5937529303909561891162915809e-04
+data8 0xBF6A254428DDB452 //A2H = -3.1915980570631852578089571182e-03
+data8 0xBC131B3BE3AC5079 //A2L = -2.5893976889070198978842231134e-19
+data8 0x3FC16E2D7093CD8C //A1H = 1.3617485043469590433318217038e-01
+data8 0x3C6979A52F906B4C //A1L = 1.1048096806003284897639351952e-17
+data8 0x3FCAC45E37FE2526 //A0H = 2.0911767705937583938791135552e-01
+data8 0x3C648D48536C61E3 //A0L = 8.9129592834861155344147026365e-18
+data8 0xD1FC135B4A30E746, 0x00003F90 //A25 = 6.3189963203954877364460345654e-34
+data8 0xB1C79B06DD8C988C, 0x00003F97 //A24 = 6.8478253118093953461840838106e-32
+data8 0xCC7AE121D1DEDA30, 0x0000BF9A //A23 = -6.3010264109146390803803408666e-31
+data8 0x8927B8841D1E0CA8, 0x0000BFA1 //A22 = -5.4098171537601308358556861717e-29
+data8 0xB4E84D6D0C8F3515, 0x00003FA4 //A21 = 5.7084320046554628404861183887e-28
+data8 0xC190EAE69A67959A, 0x00003FAA //A20 = 3.9090359419467121266470910523e-26
+data8 0x90122425D312F680, 0x0000BFAE //A19 = -4.6551806872355374409398000522e-25
+data8 0xF8456C9C747138D6, 0x0000BFB3 //A18 = -2.5670639225386507569611436435e-23
+data8 0xCDCAE0B3C6F65A3A, 0x00003FB7 //A17 = 3.4045511783329546779285646369e-22
+data8 0x8F41909107C62DCC, 0x00003FBD //A16 = 1.5167830861896169812375771948e-20
+data8 0x82F0FCB8A4B8C0A3, 0x0000BFC1 //A15 = -2.2182328575376704666050112195e-19
+data8 0x92E992C58B7C3847, 0x0000BFC6 //A14 = -7.9641369349930600223371163611e-18
+LOCAL_OBJECT_END(erfl_data)
+
+LOCAL_OBJECT_START(_0p25_to_0p5_data)
+// Polynomial coefficients for the erf(x), 1/4 <= |x| < 1/2 
+data8 0xF083628E8F7CE71D, 0x0000BFF6 //A3 = -3.6699405305266733332335619531e-03
+data8 0xBF978749A434FE4E //A2H = -2.2977018973732214746075186440e-02
+data8 0xBC30B3FAFBC21107 //A2L = -9.0547407100537663337591537643e-19
+data8 0x3FCF5F0CDAF15313 //A1H = 2.4508820238647696654332719390e-01
+data8 0x3C1DFF29F5AD8117 //A1L = 4.0653155218104625249413579084e-19
+data8 0x3FD9DD0D2B721F38 //A0H = 4.0411690943482225790717166092e-01
+data8 0x3C874C71FEF1759E //A0L = 4.0416653425001310671815863946e-17
+data8 0xA621D99B8C12595E, 0x0000BFAB //A25 = -6.7100271986703749013021666304e-26
+data8 0xBD7BBACB439992E5, 0x00003FAE //A24 = 6.1225362452814749024566661525e-25
+data8 0xFF2FEFF03A98E410, 0x00003FB2 //A23 = 1.3192871864994282747963195183e-23
+data8 0xAE8180957ABE6FD5, 0x0000BFB6 //A22 = -1.4434787102181180110707433640e-22
+data8 0xAF0566617B453AA6, 0x0000BFBA //A21 = -2.3163848847252215762970075142e-21
+data8 0x8F33D3616B9B8257, 0x00003FBE //A20 = 3.0324297082969526400202995913e-20
+data8 0xD58AB73354438856, 0x00003FC1 //A19 = 3.6175397854863872232142412590e-19
+data8 0xD214550E2F3210DF, 0x0000BFC5 //A18 = -5.6942141660091333278722310354e-18
+data8 0xE2CA60C328F3BBF5, 0x0000BFC8 //A17 = -4.9177359011428870333915211291e-17
+data8 0x88D9BB274F9B3873, 0x00003FCD //A16 = 9.4959118337089189766177270051e-16
+data8 0xCA4A00AB538A2DB2, 0x00003FCF //A15 = 5.6146496538690657993449251855e-15
+data8 0x9CC8FFFBDDCF9853, 0x0000BFD4 //A14 = -1.3925319209173383944263942226e-13
+LOCAL_OBJECT_END(_0p25_to_0p5_data)
+
+LOCAL_OBJECT_START(_0p5_to_1_data)
+// Polynomial coefficients for the erf(x), 1/2 <= |x| < 1 
+data8 0xDB742C8FB372DBE0, 0x00003FF6 //A3 = 3.3485993187250381721535255963e-03
+data8 0xBFBEDC5644353C26 //A2H = -1.2054957547410136142751468924e-01
+data8 0xBC6D7215B023455F //A2L = -1.2770012232203569059818773287e-17
+data8 0x3FD492E42D78D2C4 //A1H = 3.2146553459760363047337250464e-01
+data8 0x3C83A163CAC22E05 //A1L = 3.4053365952542489137756724868e-17
+data8 0x3FE6C1C9759D0E5F //A0H = 7.1115563365351508462453011816e-01
+data8 0x3C8B1432F2CBC455 //A0L = 4.6974407716428899960674098333e-17
+data8 0x95A6B92162813FF8, 0x00003FC3 //A25 = 1.0140763985766801318711038400e-18
+data8 0xFE5EC3217F457B83, 0x0000BFC6 //A24 = -1.3789434273280972156856405853e-17
+data8 0x9B49651031B5310B, 0x0000BFC8 //A23 = -3.3672435142472427475576375889e-17
+data8 0xDBF73927E19B7C8D, 0x00003FCC //A22 = 7.6315938248752024965922341872e-16
+data8 0xF55CBA3052730592, 0x00003FCB //A21 = 4.2563559623888750271176552350e-16
+data8 0xA1DC9380DA82CFF6, 0x0000BFD2 //A20 = -3.5940500736023122607663701015e-14
+data8 0xAAD1AE1067F3D577, 0x00003FD2 //A19 = 3.7929451192558641569555227613e-14
+data8 0xCD1DB83F3B9D2090, 0x00003FD7 //A18 = 1.4574374961011929143375716362e-12
+data8 0x87235ACB5E8BB298, 0x0000BFD9 //A17 = -3.8408559294899660346666452560e-12
+data8 0xDA417B78FF9F46B4, 0x0000BFDC //A16 = -4.9625621225715971268115023451e-11
+data8 0xF075762685484436, 0x00003FDE //A15 = 2.1869603559309150844390066920e-10
+data8 0xB989FDB3795165C7, 0x00003FE1 //A14 = 1.3499740992928183247608593000e-09
+LOCAL_OBJECT_END(_0p5_to_1_data)
+
+LOCAL_OBJECT_START(_1_to_2_data)
+// Polynomial coefficients for the erf(x), 1 <= |x| < 2.0 
+data8 0x8E15015F5B55BEAC, 0x00003FFC //A3 = 1.3875200409423426678618977531e-01
+data8 0xBFC6D5A95D0A1B7E //A2H = -1.7839543383544403942764233761e-01
+data8 0xBC7499F704C80E02 //A2L = -1.7868888188464394090788198634e-17
+data8 0x3FBE723726B824A8 //A1H = 1.1893028922362935961842822508e-01
+data8 0x3C6B77F399C2AD27 //A1L = 1.1912589318015368492508652194e-17
+data8 0x3FEEEA5557137ADF //A0H = 9.6610514647531064991170524081e-01
+data8 0x3C963D0DDD0A762F //A0L = 7.7155271023949055047261953350e-17
+data8 0x8FAA405DAD409771, 0x0000BFDB //A25 = -1.6332824616946528652252813763e-11
+data8 0x941386F4697976D8, 0x0000BFDD //A24 = -6.7337295147729213955410252613e-11
+data8 0xBCBE75234530B404, 0x00003FDF //A23 = 3.4332329029092304943838374908e-10
+data8 0xF55E2CE71A00D040, 0x00003FDF //A22 = 4.4632156034175937694868068394e-10
+data8 0xA6CADFE489D2671F, 0x0000BFE3 //A21 = -4.8543000253822277507724949798e-09
+data8 0xA4C69F11FEAFB3A8, 0x00003FE2 //A20 = 2.3978044150868471771557059958e-09
+data8 0xD63441E3BED59703, 0x00003FE6 //A19 = 4.9873285553412397317802071288e-08
+data8 0xDFDAED9D3089D732, 0x0000BFE7 //A18 = -1.0424069510877052249228047044e-07
+data8 0xB47287FF165756A5, 0x0000BFE9 //A17 = -3.3610945128073834488448164164e-07
+data8 0xCDAF2DC0A79A9059, 0x00003FEB //A16 = 1.5324673941628851136481785187e-06
+data8 0x9FD6A7B2ECE8EDA9, 0x00003FEA //A15 = 5.9544479989469083598476592569e-07
+data8 0xEC6E63BB4507B585, 0x0000BFEE //A14 = -1.4092398243085031882423746824e-05
+LOCAL_OBJECT_END(_1_to_2_data)
+
+LOCAL_OBJECT_START(_2_to_3p25_data)
+// Polynomial coefficients for the erf(x), 2 <= |x| < 3.25 
+data8 0xCEDBA58E8EE6F055, 0x00003FF7 //A3 = 6.3128050215859026984338771121e-03
+data8 0xBF5B60D5E974CBBD //A2H = -1.6710366233609740427984435840e-03
+data8 0xBC0E11E2AEC18AF6 //A2L = -2.0376133202996259839305825162e-19
+data8 0x3F32408E9BA3327E //A1H = 2.7850610389349567379974059733e-04
+data8 0x3BE41010E4B3B224 //A1L = 3.3987633691879253781833531576e-20
+data8 0x3FEFFFD1AC4135F9 //A0H = 9.9997790950300136092465663751e-01
+data8 0x3C8EEAFA1E97EAE0 //A0L = 5.3633970564750967956196033852e-17
+data8 0xBF9C6F2C6D7263C1, 0x00003FF0 //A25 = 4.5683639377039166585098497471e-05
+data8 0xCB4167CC4798096D, 0x00003FF0 //A24 = 4.8459885139772945417160731273e-05
+data8 0xE1394FECFE972D32, 0x0000BFF2 //A23 = -2.1479022581129892562916533804e-04
+data8 0xC7F9E47581FC2A5F, 0x0000BFF2 //A22 = -1.9071211076537531370822343363e-04
+data8 0xDD612EDFAA41BEAE, 0x00003FF2 //A21 = 2.1112405918671957390188348542e-04
+data8 0x8C166AA4CB2AD8FD, 0x0000BFF4 //A20 = -5.3439165021555312536009227942e-04
+data8 0xEFBE33D9F62B68D4, 0x0000BFF2 //A19 = -2.2863672131516067770956697877e-04
+data8 0xCCB92F5D91562494, 0x00003FF5 //A18 = 1.5619154280865226092321881421e-03
+data8 0x80A5DBE71D4BA0E2, 0x0000BFF6 //A17 = -1.9630109664962540123775799179e-03
+data8 0xA0ADEB2D4C41347A, 0x0000BFF4 //A16 = -6.1294315248639348947483422457e-04
+data8 0xB1F5D4911B911665, 0x00003FF7 //A15 = 5.4309165882071876864550213817e-03
+data8 0xF2F3D8D21E8762E0, 0x0000BFF7 //A14 = -7.4143227286535936033409745884e-03
+LOCAL_OBJECT_END(_2_to_3p25_data)
+
+LOCAL_OBJECT_START(_4_to_6p53_data)
+// Polynomial coefficients for the erf(x), 4 <= |x| < 6.53 
+data8 0xDF3151BE8652827E, 0x00003FD5 //A3 = 3.9646979666953349095427642209e-13
+data8 0xBD1C4A9787DF888B //A2H = -2.5127788450714750484839908889e-14
+data8 0xB99B35483E4603FD //A2L = -3.3536613901268985626466020210e-31
+data8 0x3CD2DBF507F1A1F3 //A1H = 1.0468963266736687758710258897e-15
+data8 0x398A97B60913B4BD //A1L = 1.6388968267515149775818013207e-31
+data8 0x3FEFFFFFFFFFFFFF //A0H = 9.9999999999999988897769753748e-01
+data8 0x3C99CC25E658129E //A0L = 8.9502895736398715695745861054e-17
+data8 0xB367B21294713D39, 0x00003FFB //A25 = 8.7600127403270828432337605471e-02
+data8 0xCEE3A423ADEC0F4C, 0x00003FFD //A24 = 4.0408051429309221404807497715e-01
+data8 0xC389626CF2D727C0, 0x00003FFE //A23 = 7.6381507072332210580356159947e-01
+data8 0xD15A03E082D0A307, 0x00003FFE //A22 = 8.1777977210259904277239787430e-01
+data8 0x8FD3DA92675E8E00, 0x00003FFE //A21 = 5.6182638239203638864793584264e-01
+data8 0xFD375E6EE167AA58, 0x00003FFC //A20 = 2.4728152801285544751731937424e-01
+data8 0x89A9482FADE66AE1, 0x00003FFB //A19 = 6.7217410998398471333985773237e-02
+data8 0xC62E1F02606C04DD, 0x00003FF7 //A18 = 6.0479785358923404401184993359e-03
+data8 0xEE7BF2BE71CC531C, 0x0000BFF5 //A17 = -1.8194898432032114199803271708e-03
+data8 0x8084081981CDC79C, 0x0000BFF5 //A16 = -9.8049734947701208487713246099e-04
+data8 0x8975DFB834C118C3, 0x0000BFF0 //A15 = -3.2773123965143773578608926094e-05
+data8 0x965DA4A80008B7BC, 0x0000BFEE //A14 = -8.9624997201558650125662820562e-06
+LOCAL_OBJECT_END(_4_to_6p53_data)
+
+LOCAL_OBJECT_START(_3p25_to_4_data)
+// Polynomial coefficients for the erf(x), 3.25 <= |x| < 4 
+data8 0xB01D29846286CE08, 0x00003FEE //A3 = 1.0497207328743021499800978059e-05
+data8 0xBEC10B1488AEB234 //A2H = -2.0317175474986489113480084279e-06
+data8 0xBB7F19701B8B74F9 //A2L = -4.1159669348226960337518214996e-22
+data8 0x3E910B1488AEB234 //A1H = 2.5396469343733111391850105348e-07
+data8 0x3B4F1944906D5D60 //A1L = 5.1448487494628801547474934193e-23
+data8 0x3FEFFFFFF7B91176 //A0H = 9.9999998458274208523732795584e-01
+data8 0x3C70B2865615DB3F //A0L = 1.4482653192002495179309994964e-17
+data8 0xA818D085D56F3021, 0x00003FEC //A25 = 2.5048394770210505593609705765e-06
+data8 0xD9C5C509AAE5561F, 0x00003FEC //A24 = 3.2450636894654766492719395406e-06
+data8 0x9682D71C549EEB07, 0x0000BFED //A23 = -4.4855801709974050650263470866e-06
+data8 0xBC230E1EB6FBF8B9, 0x00003FEA //A22 = 7.0086469577174843181452303996e-07
+data8 0xE1432649FF29D4DE, 0x0000BFEA //A21 = -8.3916747195472308725504497231e-07
+data8 0xB40CEEBD2803D2F0, 0x0000BFEF //A20 = -2.1463694318102769992677291330e-05
+data8 0xEAAB57ABFFA003EB, 0x00003FEF //A19 = 2.7974761309213643228699449426e-05
+data8 0xFBFA4D0B893A5BFB, 0x0000BFEE //A18 = -1.5019043571612821858165073446e-05
+data8 0xBB6AA248EED3E364, 0x0000BFF0 //A17 = -4.4683584873907316507141131797e-05
+data8 0x86C1B3AE3E500ED9, 0x00003FF2 //A16 = 1.2851395412345761361068234880e-04
+data8 0xB60729445F0C37B5, 0x0000BFF2 //A15 = -1.7359540313300841352152461287e-04
+data8 0xCA389F9E707337B1, 0x00003FF1 //A14 = 9.6426575465763394281615740282e-05
+LOCAL_OBJECT_END(_3p25_to_4_data)
+
+
+//////// "Tail" tables //////////
+LOCAL_OBJECT_START(_0p125_to_0p25_data_tail)
+// Polynomial coefficients for the erf(x), 1/8 <= |x| < 1/4 
+data8 0x93086CBD21ED3962, 0x00003FCA //A13 = 1.2753071968462837024755878679e-16
+data8 0x83CB5045A6D4B419, 0x00003FCF //A12 = 3.6580237062957773626379648530e-15
+data8 0x8FCDB723209690EB, 0x0000BFD3 //A11 = -6.3861616307180801527566117146e-14
+data8 0xCAA173F680B5D56B, 0x0000BFD7 //A10 = -1.4397775466324880354578008779e-12
+data8 0xF0CEA934AD6AC013, 0x00003FDB //A9 = 2.7376616955640415767655526857e-11
+data8 0x81C69F9D0B5AB8EE, 0x00003FE0 //A8 = 4.7212187567505249115688961488e-10
+data8 0xA8B590298C20A194, 0x0000BFE4 //A7 = -9.8201697105565925460801441797e-09
+data8 0x84F3DE72AC964615, 0x0000BFE8 //A6 = -1.2382176987480830706988411266e-07
+data8 0xC01A1398868CC4BD, 0x00003FEC //A5 = 2.8625408039722670291121341583e-06
+data8 0xCC43247F4410C54A, 0x00003FEF //A4 = 2.4349960762505993017186935493e-05
+LOCAL_OBJECT_END(_0p125_to_0p25_data_tail)
+
+LOCAL_OBJECT_START(_0p25_to_0p5_data_tail)
+// Polynomial coefficients for the erf(x), 1/4 <= |x| < 1/2 
+data8 0x8CEAC59AF361B78A, 0x0000BFD6 //A13 = -5.0063802958258679384986669123e-13
+data8 0x9BC67404F348C0CE, 0x00003FDB //A12 = 1.7709590771868743572061278273e-11
+data8 0xF4B5D0348AFAAC7A, 0x00003FDB //A11 = 2.7820329729584630464848160970e-11
+data8 0x83AB447FF619DA4A, 0x0000BFE2 //A10 = -1.9160363295631539615395477207e-09
+data8 0x82115AB487202E7B, 0x00003FE0 //A9 = 4.7318386460142606822119637959e-10
+data8 0xB84D5B0AE17054AA, 0x00003FE8 //A8 = 1.7164477188916895004843908951e-07
+data8 0xB2E085C1C4AA06E5, 0x0000BFE9 //A7 = -3.3318445266863554512523957574e-07
+data8 0xCD3CA2E6C3971666, 0x0000BFEE //A6 = -1.2233070175554502732980949519e-05
+data8 0xBA445C53F8DD40E6, 0x00003FF0 //A5 = 4.4409521535330413551781808621e-05
+data8 0xAA94D5E68033B764, 0x00003FF4 //A4 = 6.5071635765452563856926608000e-04
+LOCAL_OBJECT_END(_0p25_to_0p5_data_tail)
+
+LOCAL_OBJECT_START(_0p5_to_1_data_tail)
+// Polynomial coefficients for the erf(x), 1/2 <= |x| < 1 
+data8 0x9ED99EDF111CB785, 0x0000BFE4 //A13 = -9.2462916180079278241704711522e-09
+data8 0xDEAF7539AE2FB062, 0x0000BFE5 //A12 = -2.5923990465973151101298441139e-08
+data8 0xA392D5E5CC9DB1A7, 0x00003FE9 //A11 = 3.0467952847327075747032372101e-07
+data8 0xC311A7619B96CA1A, 0x00003FE8 //A10 = 1.8167212632079596881709988649e-07
+data8 0x82082E6B6A93F116, 0x0000BFEE //A9 = -7.7505086843257228386931766018e-06
+data8 0x96D9997CF326A36D, 0x00003FEE //A8 = 8.9913605625817479172071008270e-06
+data8 0x97057D85DCB0ED99, 0x00003FF2 //A7 = 1.4402527482741758767786898553e-04
+data8 0xDC23BCB3599C0490, 0x0000BFF3 //A6 = -4.1988296144950673955519083419e-04
+data8 0xDA150C4867208A81, 0x0000BFF5 //A5 = -1.6638352864915033417887831090e-03
+data8 0x9A4DAF550A2CC29A, 0x00003FF8 //A4 = 9.4179355839141698591817907680e-03
+LOCAL_OBJECT_END(_0p5_to_1_data_tail)
+
+LOCAL_OBJECT_START(_1_to_2_data_tail)
+// Polynomial coefficients for the erf(x), 1 <= |x| < 2.0 
+data8 0x969EAC5C7B46CAB9, 0x00003FEF //A13 = 1.7955281439310148162059582795e-05
+data8 0xA2ED832912E9FCD9, 0x00003FF1 //A12 = 7.7690020847111408916570845775e-05
+data8 0x85677C39C48E43E7, 0x0000BFF3 //A11 = -2.5444839340796031538582511806e-04
+data8 0xC2DAFA91683DAAE4, 0x0000BFF1 //A10 = -9.2914288456063075386925076097e-05
+data8 0xE01C061CBC6A2825, 0x00003FF5 //A9 = 1.7098195515864039518892834211e-03
+data8 0x9AD7271CAFD01C78, 0x0000BFF6 //A8 = -2.3626776207372761518718893636e-03
+data8 0x9B6B9D30EDD5F4FF, 0x0000BFF7 //A7 = -4.7430532011804570628999212874e-03
+data8 0x9E51EB9623F1D446, 0x00003FF9 //A6 = 1.9326171998839772791190405201e-02
+data8 0xF391B935C12546DE, 0x0000BFF8 //A5 = -1.4866286152953671441682166195e-02
+data8 0xB6AD4AE850DBF526, 0x0000BFFA //A4 = -4.4598858458861014323191919669e-02
+LOCAL_OBJECT_END(_1_to_2_data_tail)
+
+LOCAL_OBJECT_START(_2_to_3p25_data_tail)
+// Polynomial coefficients for the erf(x), 2 <= |x| < 3.25 
+data8 0x847C24DAC7C7558B, 0x00003FF5 //A13 = 1.0107798565424606512130100541e-03
+data8 0xCB6340EAF02C3DF8, 0x00003FF8 //A12 = 1.2413800617425931997420375435e-02
+data8 0xB5163D252DBBC107, 0x0000BFF9 //A11 = -2.2105330871844825370020459523e-02
+data8 0x82FF9C0B68E331E4, 0x00003FF9 //A10 = 1.5991024756001692140897408128e-02
+data8 0xE9519E4A49752E04, 0x00003FF7 //A9 = 7.1203253651891723548763348088e-03
+data8 0x8D52F11B7AE846D9, 0x0000BFFA //A8 = -3.4502927613795425888684181521e-02
+data8 0xCCC5A3E32BC6FA30, 0x00003FFA //A7 = 4.9993171868423886228679106871e-02
+data8 0xC1791AD8284A1919, 0x0000BFFA //A6 = -4.7234635220336795411997070641e-02
+data8 0x853DAAA35A8A3C18, 0x00003FFA //A5 = 3.2529512934760303976755163452e-02
+data8 0x88E42D8F47FAB60E, 0x0000BFF9 //A4 = -1.6710366233609742619461063050e-02
+LOCAL_OBJECT_END(_2_to_3p25_data_tail)
+
+LOCAL_OBJECT_START(_4_to_6p53_data_tail)
+// Polynomial coefficients for the erf(x), 4 <= |x| < 6.53 
+data8 0xD8235ABF08B8A6D1, 0x00003FEE //A13 = 1.2882834877224764938429832586e-05
+data8 0xAEDF44F9C77844C2, 0x0000BFEC //A12 = -2.6057980393716019511497492890e-06
+data8 0xCCD5490956A4FCFD, 0x00003FEA //A11 = 7.6306293047300300284923464089e-07
+data8 0xF71AF0126EE26AEA, 0x0000BFE8 //A10 = -2.3013467500738417953513680935e-07
+data8 0xE4CE68089858AC20, 0x00003FE6 //A9 = 5.3273112263151109935867439775e-08
+data8 0xBD15106FBBAEE593, 0x0000BFE4 //A8 = -1.1006037358336556244645388790e-08
+data8 0x8BBF9A5769B6E480, 0x00003FE2 //A7 = 2.0336075804332107927300019116e-09
+data8 0xB049D845D105E302, 0x0000BFDF //A6 = -3.2066683399502826067820249320e-10
+data8 0xBAC69B3F0DFE5483, 0x00003FDC //A5 = 4.2467901578369360007795282687e-11
+data8 0xA29C398F83F8A0D1, 0x0000BFD9 //A4 = -4.6216613698438694005327544047e-12
+LOCAL_OBJECT_END(_4_to_6p53_data_tail)
+
+LOCAL_OBJECT_START(_3p25_to_4_data_tail)
+// Polynomial coefficients for the erf(x), 3.25 <= |x| < 4 
+data8 0x95BE1BEAD738160F, 0x00003FF2 //A13 = 1.4280568455209843005829620687e-04
+data8 0x8108C8FFAC0F0B21, 0x0000BFF4 //A12 = -4.9222685622046459346377033307e-04
+data8 0xD72A7FAEE7832BBE, 0x00003FF4 //A11 = 8.2079319302109644436194651098e-04
+data8 0x823AB4281CA7BBE7, 0x0000BFF5 //A10 = -9.9357079675971109178261577703e-04
+data8 0xFA1232D476048D11, 0x00003FF4 //A9 = 9.5394549599882496825916138915e-04
+data8 0xC463D7AF88025FB2, 0x0000BFF4 //A8 = -7.4916843357898101689031755368e-04
+data8 0xFEBE32B6B379D072, 0x00003FF3 //A7 = 4.8588363901002111193445057206e-04
+data8 0x882829BB68409BF3, 0x0000BFF3 //A6 = -2.5969865184916169002074135516e-04
+data8 0xED2F886E29DAAB09, 0x00003FF1 //A5 = 1.1309894347742479284610149994e-04
+data8 0xA4C07129436555B2, 0x0000BFF0 //A4 = -3.9279872584973887163830479579e-05
+LOCAL_OBJECT_END(_3p25_to_4_data_tail)
+
+
+LOCAL_OBJECT_START(_0_to_1o8_data)
+// Polynomial coefficients for the erf(x), 0.0 <= |x| < 0.125 
+data8 0x3FF20DD750429B6D, 0x3C71AE3A8DDFFEDE //A1H, A1L
+data8 0xF8B0DACE42525CC2, 0x0000BFEE //A15
+data8 0xFCD02E1BF0EC2C37, 0x00003FF1 //A13
+data8 0xE016D968FE473B5E, 0x0000BFF4 //A11
+data8 0xAB2DE68711BF5A79, 0x00003FF7 //A9
+data8 0xDC16718944518309, 0x0000BFF9 //A7
+data8 0xE71790D0215F0C8F, 0x00003FFB //A5
+data8 0xC093A3581BCF3612, 0x0000BFFD //A3
+LOCAL_OBJECT_END(_0_to_1o8_data)
+
+
+LOCAL_OBJECT_START(_denorm_data)
+data8 0x3FF20DD750429B6D //A1H = 1.1283791670955125585606992900e+00
+data8 0x3C71AE3A914FED80 //A1L = 1.5335459613165880745599768129e-17
+LOCAL_OBJECT_END(_denorm_data)
+
+
+.section .text
+GLOBAL_LIBM_ENTRY(erfl)
+
+{ .mfi
+      alloc          r32         = ar.pfs, 0, 21, 0, 0 
+      fmerge.se      fArgAbsNorm = f1, f8      // normalized x (1.0 <= x < 2.0)
+      addl           rSignBit    = 0x20000, r0 // Set sign bit for exponent
+}
+{ .mlx
+      addl           rDataPtr    = @ltoff(erfl_data), gp // Get common data ptr
+      movl           r1p5        = 0x3FF8000000000000    // 1.5 in dbl repres.
+};;
+
+{ .mfi
+      getf.exp       rArgExp     = f8              // Get arg exponent
+      fclass.m       p6,p0       = f8, 0xEF // Filter 0, denormals and specials 
+                            // 0xEF = @qnan|@snan|@pos|@neg|@zero|@unorm|@inf
+      addl           rBias       = 0xfffc, r0 // Value to subtract from exp 
+                                              // to get actual interval number
+}
+{ .mfi
+      ld8            rDataPtr    = [rDataPtr]  // Get real common data pointer
+      fma.s1         fArgSqr     = f8, f8, f0  // x^2 (for [0;1/8] path)
+      addl           r2to4       = 0x10000, r0 // unbiased exponent 
+                                               // for [2;4] binary interval
+};;
+
+{ .mfi
+      getf.sig       rArgSig     = f8              // Get arg significand 
+      fcmp.lt.s1     p15, p14    = f8, f0          // Is arg negative/positive?
+      addl           rSaturation = 0xd0e, r0       // First 12 bits of
+                                                   // saturation value signif.
+}
+{ .mfi
+      setf.d         f1p5        = r1p5            // 1.5 construction 
+      fma.s1         f2p0        = f1,f1,f1        // 2.0 construction
+      addl           r3p25Sign   = 0xd00, r0       // First 12 bits of
+                                                   // 3.25 value signif.
+};;
+
+{ .mfi
+      addl           rTailDataPtr = 0x700, rDataPtr  // Pointer to "tail" data
+      nop.f          0
+      andcm          rArgExp     = rArgExp, rSignBit // Remove sign of exp
+}
+{ .mfb
+      addl           rTiny       = 0xf000, r0 // Tiny value for saturation path
+      nop.f          0
+(p6)  br.cond.spnt   erfl_spec              // Branch to zero, denorm & specs
+};;
+
+{ .mfi
+      sub            rInterval   = rArgExp, rBias // Get actual interval number
+      nop.f          0
+      shr.u          rArgSig     = rArgSig, 52    // Leave only 12 bits of sign. 
+}
+{ .mfi
+      adds           rShiftedDataPtr = 0x10, rDataPtr // Second ptr to data
+      nop.f          0
+      cmp.eq         p8, p10     = r2to4, rArgExp // If exp is in 2to4 interval?
+};;
+
+{ .mfi
+(p8)  cmp.le         p8, p10     = r3p25Sign, rArgSig // If sign. is greater 
+                            //  than 1.25? (means arg is in [3.25;4] interval)
+      nop.f          0
+      shl            rOffset     = rInterval, 8 // Make offset from 
+                                                // interval number
+}
+{ .mfi
+      cmp.gt         p9, p0      = 0x0, rInterval // If interval is less than 0
+                                                  // (means arg is in [0; 1/8])
+      nop.f          0
+      cmp.eq         p7, p0      = 0x5, rInterval // If arg is in [4:8] interv.?
+};;
+
+{ .mfi
+(p8)  adds           rOffset     = 0x200, rOffset // Add additional offset 
+                                 // if arg is in [3.25;4] (another data set)
+      fma.s1         fArgCube    = fArgSqr, f8, f0  // x^3 (for [0;1/8] path)
+      shl            rTailOffset = rInterval, 7  // Make offset to "tail" data
+                                                 // from interval number
+}
+{ .mib
+      setf.exp       fTiny       = rTiny // Construct "tiny" value 
+                                         // for saturation path
+      cmp.ltu        p11, p0     = 0x5, rInterval // if arg > 8
+(p9)  br.cond.spnt   _0_to_1o8       
+};;
+
+{ .mfi
+      add            rAddr1      = rDataPtr, rOffset // Get address for 
+                                                     // interval data 
+      nop.f          0
+      shl            rTailAddOffset = rInterval, 5 // Offset to interval
+                                                   // "tail" data 
+}
+{ .mib
+      add            rAddr2      = rShiftedDataPtr, rOffset // Get second
+                                                 // address for interval data 
+(p7)  cmp.leu        p11, p0     = rSaturation, rArgSig // if arg is 
+                                                        // in [6.53;8] interval
+(p11) br.cond.spnt   _saturation // Branch to Saturation path
+};;
+
+{ .mmi
+      ldfe           fA3         = [rAddr1], 0x90 // Load A3
+      ldfpd          fA2H, fA2L  = [rAddr2], 16 // Load A2High, A2Low
+      add            rTailOffset = rTailOffset, rTailAddOffset // "Tail" offset
+};;
+
+{ .mmi
+      ldfe           fA20        = [rAddr1], 16 // Load A20
+      ldfpd          fA1H, fA1L  = [rAddr2], 16 // Load A1High, A1Low
+(p8)  adds           rTailOffset = 0x140, rTailOffset // Additional offset
+                                                      //  for [3.24;4] interval
+};;
+
+{ .mmi
+      ldfe           fA19        = [rAddr1], 16 // Load A19
+      ldfpd          fA0H, fA0L  = [rAddr2], 16 // Load A0High, A0Low
+      add            rTailAddr1  = rTailDataPtr, rTailOffset // First tail
+                                                             // data address
+};;
+
+.pred.rel "mutex",p8,p10
+{ .mfi
+      ldfe           fA18        = [rAddr1], 16 // Load A18
+(p8)  fms.s1         fArgAbsNorm = fArgAbsNorm, f1, f2p0 // Add 2.0 
+                          // to normalized arg (for [3.24;4] interval)
+      adds           rTailAddr2  = 0x10, rTailAddr1  // First tail
+                                                     // data address
+}
+{ .mfi
+      ldfe           fA25        = [rAddr2], 16 // Load A25 
+(p10) fms.s1         fArgAbsNorm = fArgAbsNorm, f1, f1p5  // Add 1.5 
+                                                // to normalized arg
+      nop.i          0
+};;
+
+{ .mmi
+      ldfe           fA17        = [rAddr1], 16 // Load A17
+      ldfe           fA24        = [rAddr2], 16 // Load A24
+      nop.i          0
+};;
+
+{ .mmi
+      ldfe           fA16        = [rAddr1], 16 // Load A16
+      ldfe           fA23        = [rAddr2], 16 // Load A23
+      nop.i          0
+};;
+
+{ .mmi
+      ldfe           fA15        = [rAddr1], 16 // Load A15
+      ldfe           fA22        = [rAddr2], 16 // Load A22
+      nop.i          0
+};;
+
+{ .mmi
+      ldfe           fA14        = [rAddr1], 16 // Load A14
+      ldfe           fA21        = [rAddr2], 16 // Load A21
+      nop.i          0
+};;
+
+{ .mfi
+      ldfe           fA13        = [rTailAddr1], 32              // Load A13
+      fms.s1         fArgAbsNorm2 = fArgAbsNorm, fArgAbsNorm, f0 // x^2
+      nop.i          0
+}
+{ .mfi
+      ldfe           fA12        = [rTailAddr2], 32 // Load A12
+      nop.f          0
+      nop.i          0
+};;
+
+{ .mfi
+      ldfe           fA11        = [rTailAddr1], 32       // Load A11
+      fma.s1         fRes3H      = fA3, fArgAbsNorm, fA2H // (A3*x+A2)*x^2
+      nop.i          0
+}
+{ .mfi
+      ldfe           fA10        = [rTailAddr2], 32     // Load A10
+      fma.s1         fTH         = fA3, fArgAbsNorm, f0 // (A3*x+A2)*x^2
+      nop.i          0
+};;
+
+{ .mfi
+      ldfe           fA9         = [rTailAddr1], 32 // Load A9
+      fma.s1         fTT2        = fA1L, fArgAbsNorm, f0 // A1*x+A0
+      nop.i          0
+}
+{ .mfi
+      ldfe           fA8         = [rTailAddr2], 32 // Load A8
+      nop.f          0
+      nop.i          0
+};;
+
+{ .mmi
+      ldfe           fA7         = [rTailAddr1], 32 // Load A7
+      ldfe           fA6         = [rTailAddr2], 32 // Load A6
+      nop.i          0
+};;
+
+{ .mmi
+      ldfe           fA5         = [rTailAddr1], 32 // Load A5
+      ldfe           fA4         = [rTailAddr2], 32 // Load A4
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      fms.s1         fArgAbsNorm2L = fArgAbsNorm, fArgAbsNorm, fArgAbsNorm2
+                                                    // Low part of x^2 (delta)
+      nop.i          0
+}
+{ .mfi
+      nop.m          0
+      fms.s1         fArgAbsNorm4  = fArgAbsNorm2, fArgAbsNorm2, f0 // x^4
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      fms.s1         fRes3L      = fA2H, f1, fRes3H // // (A3*x+A2)*x^2
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      fms.s1         fArgAbsNorm3 = fArgAbsNorm2, fArgAbsNorm, f0 // x^3
+      nop.i          0
+}
+{ .mfi
+      nop.m          0
+      fma.s1         fTH2        = fA1H, fArgAbsNorm, fTT2 // A1*x+A0
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      fma.s1         fA23        = fA24,  fArgAbsNorm, fA23 // Polynomial tail
+      nop.i          0
+}
+{ .mfi 
+      nop.m          0
+      fma.s1         fA21        = fA22,  fArgAbsNorm, fA21 // Polynomial tail 
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      fma.s1         fA12        = fA13,  fArgAbsNorm, fA12 // Polynomial tail
+      nop.i          0
+}
+;;
+
+{ .mfi
+      nop.m          0
+      fma.s1         fRes3L      = fRes3L, f1, fTH // (A3*x+A2)*x^2
+      nop.i          0
+}
+{ .mfi 
+      nop.m          0
+      fma.s1         fA19        = fA20,  fArgAbsNorm, fA19 // Polynomial tail
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      fma.s1         fRes1H      = fTH2, f1, fA0H // A1*x+A0
+      nop.i          0
+}
+{ .mfi 
+      nop.m          0
+      fms.s1         fTL2        = fA1H, fArgAbsNorm, fTH2 // A1*x+A0
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      fma.s1         fA8         = fA9,  fArgAbsNorm, fA8 // Polynomial tail
+      nop.i          0
+}
+{ .mfi 
+      nop.m          0
+      fma.s1         fA10        = fA11,  fArgAbsNorm, fA10 // Polynomial tail
+      nop.i          0
+};;
+{ .mfi
+      nop.m          0
+      fma.s1         fA15        = fA16,  fArgAbsNorm, fA15 // Polynomial tail
+      nop.i          0
+}
+{ .mfi
+      nop.m          0
+      fma.s1         fA17        = fA18,  fArgAbsNorm, fA17 // Polynomial tail
+      nop.i          0
+};;
+{ .mfi
+      nop.m          0
+      fms.s1         fArgAbsNorm11 = fArgAbsNorm4, fArgAbsNorm4, f0 // x^8
+      nop.i          0
+}
+{ .mfi 
+      nop.m          0
+      fma.s1         fA4         = fA5,  fArgAbsNorm, fA4 // Polynomial tail
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      fma.s1         fRes3L      = fRes3L, f1, fA2L // (A3*x+A2)*x^2
+      nop.i          0
+}
+{ .mfi 
+      nop.m          0
+      fma.s1         fA6         = fA7,  fArgAbsNorm, fA6 // Polynomial tail
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      fma.s1         fTL2        = fTL2, f1, fTT2 // A1*x+A0
+      nop.i          0
+}
+{ .mfi 
+      nop.m          0
+      fms.s1         fRes1L      = fA0H, f1, fRes1H // A1*x+A0
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      fma.s1         fA23        = fA25,  fArgAbsNorm2, fA23 // Polynomial tail
+      nop.i          0
+}
+{ .mfi 
+      nop.m          0
+      fma.s1         fA12        = fA14,  fArgAbsNorm2, fA12 // Polynomial tail
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      fma.s1         fA19        = fA21,  fArgAbsNorm2, fA19  // Polynomial tail
+      nop.i          0
+}
+{ .mfi 
+      nop.m          0
+      fma.s1         fA8         = fA10,  fArgAbsNorm2, fA8 // Polynomial tail
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      fma.s1         fA15        = fA17,  fArgAbsNorm2, fA15 // Polynomial tail
+      nop.i          0
+}
+{ .mfi 
+      nop.m          0
+      fms.s1         fArgAbsNorm11 = fArgAbsNorm11, fArgAbsNorm3, f0 // x^11
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      fma.s1         fTT         = fRes3L, fArgAbsNorm2, f0 // (A3*x+A2)*x^2
+      nop.i          0
+}
+{ .mfi 
+      nop.m          0
+      fma.s1         fA4         = fA6,  fArgAbsNorm2, fA4 // Polynomial tail
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      fma.s1         fRes1L      = fRes1L, f1, fTH2 // A1*x+A0
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      fma.s1         fA19        = fA23,  fArgAbsNorm4, fA19 // Polynomial tail
+      nop.i          0
+}
+{ .mfi 
+      nop.m          0
+      fma.s1         fA8         = fA12,  fArgAbsNorm4, fA8 // Polynomial tail
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      fma.s1         fTT         = fRes3H, fArgAbsNorm2L, fTT // (A3*x+A2)*x^2
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      fma.s1         fRes1L      = fRes1L, f1, fTL2 // A1*x+A0
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      fma.s1         fA15        = fA19,  fArgAbsNorm4, fA15 // Polynomial tail
+      nop.i          0
+}
+{ .mfi
+      nop.m          0
+      fma.s1         fA4         = fA8,  fArgAbsNorm4, fA4 // Polynomial tail
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      fma.s1         fRes2H      = fRes3H, fArgAbsNorm2, fTT // (A3*x+A2)*x^2
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      fma.s1         fRes1L      = fRes1L, f1, fA0L // A1*x+A0
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      fma.s1         fRes4       = fA15, fArgAbsNorm11, fA4 // Result of 
+                                                      // polynomial tail
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      fms.s1         fRes2L      = fRes3H, fArgAbsNorm2, fRes2H // (A3*x+A2)*x^2
+      nop.i          0
+}
+{ .mfi 
+      nop.m          0
+      fma.s1         fResH       = fRes2H, f1, fRes1H // High result
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      fma.s1         fRes1L      = fRes4, fArgAbsNorm4, fRes1L // A1*x+A0
+      nop.i          0
+};;
+
+{ .mfi 
+      nop.m          0
+      fma.s1         fRes2L      = fRes2L, f1, fTT // (A3*x+A2)*x^2
+      nop.i          0
+}
+{ .mfi 
+      nop.m          0
+      fms.s1         fResL       = fRes1H, f1, fResH // Low result
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      fma.s1         fRes1L      = fRes1L, f1, fRes2L // Low result
+      nop.i          0
+}
+{ .mfi 
+      nop.m          0
+      fma.s1         fResL       = fResL, f1, fRes2H // Low result
+      nop.i          0
+};;
+
+{ .mfi 
+      nop.m          0
+(p15) fneg           fResH       = fResH // Invert high result if arg is neg.
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      fma.s1         fResL       = fResL, f1, fRes1L // Low result
+      nop.i          0
+};;
+
+.pred.rel "mutex",p14,p15
+{ .mfi 
+      nop.m          0
+(p14) fma.s0         f8          = fResH, f1, fResL // Add high and low results
+      nop.i          0
+}
+{ .mfb 
+      nop.m          0
+(p15) fms.s0         f8          = fResH, f1, fResL // Add high and low results
+      br.ret.sptk    b0          // Main path return
+};;
+
+//  satiration path ////////////////////////////////////////////////////////////
+_saturation:
+
+.pred.rel "mutex",p14,p15
+{ .mfi 
+      nop.m          0
+(p14) fms.s0            f8          = f1, f1, fTiny // Saturation result r = 1-tiny
+      nop.i 0
+};;
+{ .mfb 
+      nop.m          0
+(p15) fnma.s0           f8          = f1, f1, fTiny // Saturation result r = tiny-1
+      br.ret.sptk    b0         // Saturation path return
+};;
+
+
+//  0, denormals and special IEEE numbers path /////////////////////////////////
+erfl_spec:
+
+{ .mfi 
+      addl           rDataPtr    = 0xBE0, rDataPtr // Ptr to denormals coeffs
+      fclass.m       p6,p0       = f8, 0x23 // To filter infinities
+                                          // 0x23 = @pos|@neg|@inf 
+      nop.i          0
+};;
+
+{ .mfi 
+      ldfpd          fA1H, fA1L  = [rDataPtr] // Load denormals coeffs A1H, A1L
+      fclass.m       p7,p0       = f8, 0xC7 // To filter NaNs & Zeros
+                                 // 0xC7 = @pos|@neg|@zero|@qnan|@snan
+      nop.i          0
+};;
+
+{ .mfb 
+      nop.m          0
+(p6)  fmerge.s       f8          = f8, f1     // +/-1 for INF args 
+(p6)  br.ret.spnt    b0                       // exit for x = INF
+};;
+
+{ .mfb 
+      nop.m          0
+(p7)  fma.s0         f8          = f8, f1, f8    // +/-0 for 0 args 
+                                                 // and NaNs for NaNs
+(p7)  br.ret.spnt    b0                          // exit for x = NaN or +/-0
+};;
+
+{ .mfi 
+      nop.m          0
+      fnorm.s0       f8          = f8            // Normalize arg
+      nop.i          0
+};;
+
+{ .mfi 
+      nop.m          0
+      fms.s1         fRes1H      = f8, fA1H, f0   // HighRes
+      nop.i          0
+}
+{ .mfi 
+      nop.m          0
+      fms.s1         fRes1L      = f8, fA1L, f0   // LowRes
+      nop.i          0
+};;
+
+{ .mfi 
+      nop.m          0
+      fms.s1         fRes1Hd     = f8, fA1H, fRes1H // HighRes delta
+      nop.i          0
+};;
+
+{ .mfi 
+      nop.m          0
+      fma.s1         fRes        = fRes1L, f1,  fRes1Hd // LowRes+HighRes delta
+      nop.i          0
+};;
+
+{ .mfi 
+      nop.m          0
+      fma.s1         fRes        = f8, f8, fRes // r=x^2+r
+      nop.i          0
+};;
+
+{ .mfb 
+      nop.m          0
+      fma.s0         f8          = fRes, f1, fRes1H  // res = r+ResHigh
+      br.ret.sptk    b0          // 0, denormals, specials return
+};;
+
+
+//  0 < |x| < 1/8 path /////////////////////////////////////////////////////////
+_0_to_1o8:
+
+{ .mmi 
+      adds           rAddr1      = 0xB60, rDataPtr // Ptr 1 to coeffs
+      adds           rAddr2      = 0xB80, rDataPtr // Ptr 2 to coeffs
+      nop.i          0
+};;
+
+{ .mmi 
+      ldfpd          fA1H, fA1L  = [rAddr1], 16 // Load A1High, A1Low
+      ldfe           fA13        = [rAddr2], 16 // Load A13
+      nop.i          0
+};;
+
+{ .mmi 
+      ldfe           fA15        = [rAddr1], 48 // Load A15
+      ldfe           fA11        = [rAddr2], 32 // Load A11
+      nop.i          0
+};;
+
+{ .mmi 
+      ldfe           fA9         = [rAddr1], 32 // Load A9
+      ldfe           fA7         = [rAddr2], 32 // Load A7
+      nop.i          0
+};;
+
+{ .mmi 
+      ldfe           fA5         = [rAddr1]  // Load A5
+      ldfe           fA3         = [rAddr2] // Load A3
+      nop.i          0
+};;
+
+{ .mfi 
+      nop.m          0
+      fms.s1         fRes1H      = f8, fA1H, f0 // x*(A1H+A1L)
+      nop.i          0
+}
+{ .mfi 
+      nop.m          0
+      fms.s1         fRes1L      = f8, fA1L, f0 // x*(A1H+A1L)
+      nop.i          0
+};;
+
+{ .mfi 
+      nop.m          0
+      fma.s1         fA11        = fA13, fArgSqr, fA11 // Polynomial tail
+      nop.i          0
+}
+{ .mfi 
+      nop.m          0
+      fma.s1         fArgFour    = fArgSqr, fArgSqr, f0 // a^4        
+      nop.i          0
+};;
+
+
+{ .mfi 
+      nop.m          0
+      fma.s1         fA3         = fA5, fArgSqr, fA3 // Polynomial tail
+      nop.i          0
+}
+{ .mfi 
+      nop.m          0
+      fma.s1         fA7         = fA9, fArgSqr, fA7 // Polynomial tail
+      nop.i          0
+};;
+
+
+{ .mfi 
+      nop.m          0
+      fms.s1         fRes1Hd     = f8, fA1H, fRes1H // x*(A1H+A1L) delta
+      nop.i          0
+};;
+
+{ .mfi 
+      nop.m          0
+      fma.s1         fA11        = fA15, fArgFour, fA11 // Polynomial tail
+      nop.i          0
+};;
+
+{ .mfi 
+      nop.m          0
+      fma.s1         fA3         = fA7, fArgFour, fA3 // Polynomial tail
+      nop.i          0
+}
+{ .mfi 
+      nop.m          0
+      fma.s1         fArgEight   = fArgFour, fArgFour, f0 // a^8
+      nop.i          0
+};;
+
+{ .mfi 
+      nop.m          0
+      fma.s1         f8          = fRes1L, f1,  fRes1Hd // x*(A1H+A1L)
+      nop.i          0
+};;
+
+{ .mfi 
+      nop.m          0
+      fma.s1         fRes        = fA11, fArgEight, fA3 //Polynomial tail result
+      nop.i          0
+};;
+
+{ .mfi 
+      nop.m          0
+      fma.s1         f8          = fRes, fArgCube, f8 // (Polynomial tail)*x^3
+      nop.i          0
+};;
+
+{ .mfb 
+      nop.m          0
+      fma.s0         f8          = f8, f1, fRes1H  // (Polynomial tail)*x^3 + 
+                                                   // + x*(A1H+A1L)
+      br.ret.sptk    b0          // [0;1/8] interval return
+};;
+
+    
+GLOBAL_LIBM_END(erfl)
+
+
diff --git a/sysdeps/ia64/fpu/s_expm1.S b/sysdeps/ia64/fpu/s_expm1.S
index 19a237990c..41b9954ee8 100644
--- a/sysdeps/ia64/fpu/s_expm1.S
+++ b/sysdeps/ia64/fpu/s_expm1.S
@@ -1,10 +1,10 @@
 .file "exp_m1.s"
 
-// Copyright (C) 2000, 2001, Intel Corporation
+
+// Copyright (c) 2000 - 2002, Intel Corporation
 // All rights reserved.
-// 
-// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story,
-// and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
 //
 // Redistribution and use in source and binary forms, with or without
 // modification, are permitted provided that the following conditions are
@@ -20,1694 +20,819 @@
 // * The name of Intel Corporation may not be used to endorse or promote
 // products derived from this software without specific prior written
 // permission.
-//
-// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
-// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
-// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS 
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
 // CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
-// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, 
-// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 
-// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY 
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
 // OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
-// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 
-// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 
-// 
-// Intel Corporation is the author of this code, and requests that all
-// problem reports or change requests be submitted to it directly at 
-// http://developer.intel.com/opensource.
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
 //
-// HISTORY
-// 2/02/00  Initial Version 
-// 4/04/00  Unwind support added
-// 8/15/00  Bundle added after call to __libm_error_support to properly
+// Intel Corporation is the author of this code, and requests that all
+// problem reports or change requests be submitted to it directly at
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
+//
+// History
+//==============================================================
+// 02/02/00 Initial Version
+// 04/04/00 Unwind support added
+// 08/15/00 Bundle added after call to __libm_error_support to properly
 //          set [the previously overwritten] GR_Parameter_RESULT.
+// 07/07/01 Improved speed of all paths
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 11/20/02 Improved speed, algorithm based on exp
+
+// API
+//==============================================================
+// double expm1(double)
+
+// Overview of operation
+//==============================================================
+// 1. Inputs of Nan, Inf, Zero, NatVal handled with special paths
+//
+// 2. |x| < 2^-60
+//    Result = x, computed by x + x*x to handle appropriate flags and rounding
 //
-// ********************************************************************* 
-//
-// Function:   Combined exp(x) and expm1(x), where
-//                       x 
-//             exp(x) = e , for double precision x values
-//                         x
-//             expm1(x) = e  - 1  for double precision x values
-//
-// ********************************************************************* 
-//
-// Accuracy:       Within .7 ulps for 80-bit floating point values
-//                 Very accurate for double precision values
-//
-// ********************************************************************* 
-//
-// Resources Used:
-//
-//    Floating-Point Registers: f8  (Input and Return Value) 
-//                              f9,f32-f61, f99-f102 
-//
-//    General Purpose Registers: 
-//      r32-r61
-//      r62-r65 (Used to pass arguments to error handling routine)
-//                                     
-//    Predicate Registers:      p6-p15
-//
-// ********************************************************************* 
-//
-// IEEE Special Conditions:
-//
-//    Denormal  fault raised on denormal inputs  
-//    Overflow exceptions raised when appropriate for exp and expm1
-//    Underflow exceptions raised when appropriate for exp and expm1
-//    (Error Handling Routine called for overflow and Underflow)
-//    Inexact raised when appropriate by algorithm 
-//
-//    exp(inf) = inf
-//    exp(-inf) = +0
-//    exp(SNaN) = QNaN
-//    exp(QNaN) = QNaN
-//    exp(0) = 1
-//    exp(EM_special Values) = QNaN
-//    exp(inf) = inf
-//    expm1(-inf) = -1 
-//    expm1(SNaN) = QNaN
-//    expm1(QNaN) = QNaN
-//    expm1(0) = 0
-//    expm1(EM_special Values) = QNaN
-//    
-// ********************************************************************* 
-//
-// Implementation and Algorithm Notes:
-//
-//  ker_exp_64( in_FR  : X,
-//            in_GR  : Flag,
-//            in_GR  : Expo_Range
-//            out_FR : Y_hi,
-//            out_FR : Y_lo,
-//            out_FR : scale,
-//            out_PR : Safe )
-//
-// On input, X is in register format and 
-// Flag  = 0 for exp,
-// Flag  = 1 for expm1,
-//
-// On output, provided X and X_cor are real numbers, then
-//
-//   scale*(Y_hi + Y_lo)  approximates  exp(X)       if Flag is 0
-//   scale*(Y_hi + Y_lo)  approximates  exp(X)-1     if Flag is 1
-//
-// The accuracy is sufficient for a highly accurate 64 sig.
-// bit implementation.  Safe is set if there is no danger of 
-// overflow/underflow when the result is composed from scale, 
-// Y_hi and Y_lo. Thus, we can have a fast return if Safe is set. 
-// Otherwise, one must prepare to handle the possible exception 
-// appropriately.  Note that SAFE not set (false) does not mean 
-// that overflow/underflow will occur; only the setting of SAFE
-// guarantees the opposite.
-//
-// **** High Level Overview **** 
-//
-// The method consists of three cases.
-// 
-// If           |X| < Tiny	use case exp_tiny;
-// else if	|X| < 2^(-6)	use case exp_small;
-// else		use case exp_regular;
-//
-// Case exp_tiny:
-//
-//   1 + X     can be used to approximate exp(X) or exp(X+X_cor);
-//   X + X^2/2 can be used to approximate exp(X) - 1
-//
-// Case exp_small:
-//
-//   Here, exp(X), exp(X+X_cor), and exp(X) - 1 can all be 
-//   appproximated by a relatively simple polynomial.
-//
-//   This polynomial resembles the truncated Taylor series
-//
-//	exp(w) = 1 + w + w^2/2! + w^3/3! + ... + w^n/n!
-//
-// Case exp_regular:
-//
-//   Here we use a table lookup method. The basic idea is that in
-//   order to compute exp(X), we accurately decompose X into
-//
-//   X = N * log(2)/(2^12)  + r,	|r| <= log(2)/2^13.
-//
-//   Hence
-//
-//   exp(X) = 2^( N / 2^12 ) * exp(r).
-//
-//   The value 2^( N / 2^12 ) is obtained by simple combinations
-//   of values calculated beforehand and stored in table; exp(r)
-//   is approximated by a short polynomial because |r| is small.
-//
-//   We elaborate this method in 4 steps.
-//
-//   Step 1: Reduction
-//
-//   The value 2^12/log(2) is stored as a double-extended number
-//   L_Inv.
-//
-//   N := round_to_nearest_integer( X * L_Inv )
-//
-//   The value log(2)/2^12 is stored as two numbers L_hi and L_lo so
-//   that r can be computed accurately via
-//
-//   r := (X - N*L_hi) - N*L_lo
-//
-//   We pick L_hi such that N*L_hi is representable in 64 sig. bits
-//   and thus the FMA   X - N*L_hi   is error free. So r is the 
-//   1 rounding error from an exact reduction with respect to 
-//   
-//   L_hi + L_lo.
-//
-//   In particular, L_hi has 30 significant bit and can be stored
-//   as a double-precision number; L_lo has 64 significant bits and
-//   stored as a double-extended number.
-//
-//   In the case Flag = 2, we further modify r by
-//
-//   r := r + X_cor.
-//
-//   Step 2: Approximation
-//
-//   exp(r) - 1 is approximated by a short polynomial of the form
-//   
-//   r + A_1 r^2 + A_2 r^3 + A_3 r^4 .
-//
-//   Step 3: Composition from Table Values 
-//
-//   The value 2^( N / 2^12 ) can be composed from a couple of tables
-//   of precalculated values. First, express N as three integers
-//   K, M_1, and M_2 as
-//
-//     N  =  K * 2^12  + M_1 * 2^6 + M_2
-//
-//   Where 0 <= M_1, M_2 < 2^6; and K can be positive or negative.
-//   When N is represented in 2's complement, M_2 is simply the 6
-//   lsb's, M_1 is the next 6, and K is simply N shifted right
-//   arithmetically (sign extended) by 12 bits.
-//
-//   Now, 2^( N / 2^12 ) is simply  
-//	
-//      2^K * 2^( M_1 / 2^6 ) * 2^( M_2 / 2^12 )
-//
-//   Clearly, 2^K needs no tabulation. The other two values are less
-//   trivial because if we store each accurately to more than working
-//   precision, than its product is too expensive to calculate. We
-//   use the following method.
-//
-//   Define two mathematical values, delta_1 and delta_2, implicitly
-//   such that
-//
-//     T_1 = exp( [M_1 log(2)/2^6]  -  delta_1 ) 
-//     T_2 = exp( [M_2 log(2)/2^12] -  delta_2 )
-//
-//   are representable as 24 significant bits. To illustrate the idea,
-//   we show how we define delta_1: 
-//
-//     T_1     := round_to_24_bits( exp( M_1 log(2)/2^6 ) )
-//     delta_1  = (M_1 log(2)/2^6) - log( T_1 )  
-//
-//   The last equality means mathematical equality. We then tabulate
-//
-//     W_1 := exp(delta_1) - 1
-//     W_2 := exp(delta_2) - 1
-//
-//   Both in double precision.
-//
-//   From the tabulated values T_1, T_2, W_1, W_2, we compose the values
-//   T and W via
+// 3. 2^-60 <= |x| < 2^-2
+//    Result determined by 13th order Taylor series polynomial
+//    expm1f(x) = x + Q2*x^2 + ... + Q13*x^13
 //
-//     T := T_1 * T_2			...exactly
-//     W := W_1 + (1 + W_1)*W_2	
+// 4. x < -48.0
+//    Here we know result is essentially -1 + eps, where eps only affects
+//    rounded result.  Set I.
 //
-//   W approximates exp( delta ) - 1  where delta = delta_1 + delta_2.
-//   The mathematical product of T and (W+1) is an accurate representation
-//   of 2^(M_1/2^6) * 2^(M_2/2^12).
+// 5. x >= 709.7827
+//    Result overflows.  Set I, O, and call error support
 //
-//   Step 4. Reconstruction
-//
-//   Finally, we can reconstruct exp(X), exp(X) - 1. 
-//   Because
-//
-//	X = K * log(2) + (M_1*log(2)/2^6  - delta_1) 
-//		       + (M_2*log(2)/2^12 - delta_2)
-//		       + delta_1 + delta_2 + r 		...accurately
-//   We have
-//
-//	exp(X) ~=~ 2^K * ( T + T*[exp(delta_1+delta_2+r) - 1] )
-//	       ~=~ 2^K * ( T + T*[exp(delta + r) - 1]         )
-//	       ~=~ 2^K * ( T + T*[(exp(delta)-1)  
-//				 + exp(delta)*(exp(r)-1)]   )
-//             ~=~ 2^K * ( T + T*( W + (1+W)*poly(r) ) )
-//             ~=~ 2^K * ( Y_hi  +  Y_lo )
-//
-//   where Y_hi = T  and Y_lo = T*(W + (1+W)*poly(r))
-//
-//   For exp(X)-1, we have
-//
-//	exp(X)-1 ~=~ 2^K * ( Y_hi + Y_lo ) - 1
-//		 ~=~ 2^K * ( Y_hi + Y_lo - 2^(-K) )
-//
-//   and we combine Y_hi + Y_lo - 2^(-N)  into the form of two 
-//   numbers  Y_hi + Y_lo carefully.
-//
-//   **** Algorithm Details ****
-//
-//   A careful algorithm must be used to realize the mathematical ideas
-//   accurately. We describe each of the three cases. We assume SAFE
-//   is preset to be TRUE.
-//
-//   Case exp_tiny:
-//
-//   The important points are to ensure an accurate result under 
-//   different rounding directions and a correct setting of the SAFE 
-//   flag.
-//
-//   If Flag is 1, then
-//      SAFE  := False	...possibility of underflow
-//      Scale := 1.0
-//      Y_hi  := X
-//      Y_lo  := 2^(-17000)
-//   Else
-//      Scale := 1.0
-//      Y_hi  := 1.0
-//      Y_lo  := X	...for different rounding modes
-//   Endif
-//
-//   Case exp_small:
-//
-//   Here we compute a simple polynomial. To exploit parallelism, we split
-//   the polynomial into several portions.
-//
-//   Let r = X 
-//
-//   If Flag is not 1	...i.e. exp( argument )
-//
-//      rsq := r * r; 
-//      r4  := rsq*rsq
-//      poly_lo := P_3 + r*(P_4 + r*(P_5 + r*P_6))
-//      poly_hi := r + rsq*(P_1 + r*P_2)
-//      Y_lo    := poly_hi + r4 * poly_lo
-//      set lsb(Y_lo) to 1
-//      Y_hi    := 1.0
-//      Scale   := 1.0
-//
-//   Else			...i.e. exp( argument ) - 1
-//
-//      rsq := r * r
-//      r4  := rsq * rsq
-//      r6  := rsq * r4
-//      poly_lo := r6*(Q_5 + r*(Q_6 + r*Q_7))
-//      poly_hi := Q_1 + r*(Q_2 + r*(Q_3 + r*Q_4))
-//      Y_lo    := rsq*poly_hi +  poly_lo
-//      set lsb(Y_lo) to 1
-//      Y_hi    := X
-//      Scale   := 1.0
-//
-//   Endif
-//
-//  Case exp_regular:
-//
-//  The previous description contain enough information except the
-//  computation of poly and the final Y_hi and Y_lo in the case for
-//  exp(X)-1.
-//
-//  The computation of poly for Step 2:
-//
-//   rsq := r*r
-//   poly := r + rsq*(A_1 + r*(A_2 + r*A_3))
-//
-//  For the case exp(X) - 1, we need to incorporate 2^(-K) into
-//  Y_hi and Y_lo at the end of Step 4.
-//
-//   If K > 10 then
-//      Y_lo := Y_lo - 2^(-K)
-//   Else
-//      If K < -10 then
-//	 Y_lo := Y_hi + Y_lo
-//	 Y_hi := -2^(-K)
-//      Else
-//	 Y_hi := Y_hi - 2^(-K)
-//      End If
-//   End If
-//
-
-#include "libm_support.h"
-
-GR_SAVE_PFS          = r59
-GR_SAVE_B0           = r60
-GR_SAVE_GP           = r61
-
-GR_Parameter_X       = r62
-GR_Parameter_Y       = r63
-GR_Parameter_RESULT  = r64
-
-FR_X             = f9
-FR_Y             = f1
-FR_RESULT        = f99
-
-#ifdef _LIBC
-.rodata
-#else
-.data
-#endif
-
-.align 64 
-Constants_exp_64_Arg:
-ASM_TYPE_DIRECTIVE(Constants_exp_64_Arg,@object)
-data4 0x5C17F0BC,0xB8AA3B29,0x0000400B,0x00000000 
-data4 0x00000000,0xB17217F4,0x00003FF2,0x00000000
-data4 0xF278ECE6,0xF473DE6A,0x00003FD4,0x00000000
-// /* Inv_L, L_hi, L_lo */
-ASM_SIZE_DIRECTIVE(Constants_exp_64_Arg)
-
-.align 64 
-Constants_exp_64_Exponents:
-ASM_TYPE_DIRECTIVE(Constants_exp_64_Exponents,@object)
-data4 0x0000007E,0x00000000,0xFFFFFF83,0xFFFFFFFF
-data4 0x000003FE,0x00000000,0xFFFFFC03,0xFFFFFFFF
-data4 0x00003FFE,0x00000000,0xFFFFC003,0xFFFFFFFF
-data4 0x00003FFE,0x00000000,0xFFFFC003,0xFFFFFFFF
-data4 0xFFFFFFE2,0xFFFFFFFF,0xFFFFFFC4,0xFFFFFFFF
-data4 0xFFFFFFBA,0xFFFFFFFF,0xFFFFFFBA,0xFFFFFFFF
-ASM_SIZE_DIRECTIVE(Constants_exp_64_Exponents)
-
-.align 64 
-Constants_exp_64_A:
-ASM_TYPE_DIRECTIVE(Constants_exp_64_A,@object)
-data4 0xB1B736A0,0xAAAAAAAB,0x00003FFA,0x00000000
-data4 0x90CD6327,0xAAAAAAAB,0x00003FFC,0x00000000
-data4 0xFFFFFFFF,0xFFFFFFFF,0x00003FFD,0x00000000
-// /* Reversed */
-ASM_SIZE_DIRECTIVE(Constants_exp_64_A)
-
-.align 64 
-Constants_exp_64_P:
-ASM_TYPE_DIRECTIVE(Constants_exp_64_P,@object)
-data4 0x43914A8A,0xD00D6C81,0x00003FF2,0x00000000
-data4 0x30304B30,0xB60BC4AC,0x00003FF5,0x00000000
-data4 0x7474C518,0x88888888,0x00003FF8,0x00000000
-data4 0x8DAE729D,0xAAAAAAAA,0x00003FFA,0x00000000
-data4 0xAAAAAF61,0xAAAAAAAA,0x00003FFC,0x00000000
-data4 0x000004C7,0x80000000,0x00003FFE,0x00000000 
-// /* Reversed */
-ASM_SIZE_DIRECTIVE(Constants_exp_64_P)
-
-.align 64 
-Constants_exp_64_Q:
-ASM_TYPE_DIRECTIVE(Constants_exp_64_Q,@object)
-data4 0xA49EF6CA,0xD00D56F7,0x00003FEF,0x00000000
-data4 0x1C63493D,0xD00D59AB,0x00003FF2,0x00000000
-data4 0xFB50CDD2,0xB60B60B5,0x00003FF5,0x00000000
-data4 0x7BA68DC8,0x88888888,0x00003FF8,0x00000000
-data4 0xAAAAAC8D,0xAAAAAAAA,0x00003FFA,0x00000000
-data4 0xAAAAACCA,0xAAAAAAAA,0x00003FFC,0x00000000
-data4 0x00000000,0x80000000,0x00003FFE,0x00000000 
-// /* Reversed */
-ASM_SIZE_DIRECTIVE(Constants_exp_64_Q)
-
-.align 64 
-Constants_exp_64_T1:
-ASM_TYPE_DIRECTIVE(Constants_exp_64_T1,@object)
-data4 0x3F800000,0x3F8164D2,0x3F82CD87,0x3F843A29 
-data4 0x3F85AAC3,0x3F871F62,0x3F88980F,0x3F8A14D5 
-data4 0x3F8B95C2,0x3F8D1ADF,0x3F8EA43A,0x3F9031DC
-data4 0x3F91C3D3,0x3F935A2B,0x3F94F4F0,0x3F96942D
-data4 0x3F9837F0,0x3F99E046,0x3F9B8D3A,0x3F9D3EDA
-data4 0x3F9EF532,0x3FA0B051,0x3FA27043,0x3FA43516
-data4 0x3FA5FED7,0x3FA7CD94,0x3FA9A15B,0x3FAB7A3A
-data4 0x3FAD583F,0x3FAF3B79,0x3FB123F6,0x3FB311C4
-data4 0x3FB504F3,0x3FB6FD92,0x3FB8FBAF,0x3FBAFF5B
-data4 0x3FBD08A4,0x3FBF179A,0x3FC12C4D,0x3FC346CD
-data4 0x3FC5672A,0x3FC78D75,0x3FC9B9BE,0x3FCBEC15
-data4 0x3FCE248C,0x3FD06334,0x3FD2A81E,0x3FD4F35B
-data4 0x3FD744FD,0x3FD99D16,0x3FDBFBB8,0x3FDE60F5
-data4 0x3FE0CCDF,0x3FE33F89,0x3FE5B907,0x3FE8396A
-data4 0x3FEAC0C7,0x3FED4F30,0x3FEFE4BA,0x3FF28177
-data4 0x3FF5257D,0x3FF7D0DF,0x3FFA83B3,0x3FFD3E0C
-ASM_SIZE_DIRECTIVE(Constants_exp_64_T1)
-
-.align 64 
-Constants_exp_64_T2:
-ASM_TYPE_DIRECTIVE(Constants_exp_64_T2,@object)
-data4 0x3F800000,0x3F80058C,0x3F800B18,0x3F8010A4 
-data4 0x3F801630,0x3F801BBD,0x3F80214A,0x3F8026D7 
-data4 0x3F802C64,0x3F8031F2,0x3F803780,0x3F803D0E 
-data4 0x3F80429C,0x3F80482B,0x3F804DB9,0x3F805349 
-data4 0x3F8058D8,0x3F805E67,0x3F8063F7,0x3F806987 
-data4 0x3F806F17,0x3F8074A8,0x3F807A39,0x3F807FCA 
-data4 0x3F80855B,0x3F808AEC,0x3F80907E,0x3F809610 
-data4 0x3F809BA2,0x3F80A135,0x3F80A6C7,0x3F80AC5A 
-data4 0x3F80B1ED,0x3F80B781,0x3F80BD14,0x3F80C2A8 
-data4 0x3F80C83C,0x3F80CDD1,0x3F80D365,0x3F80D8FA 
-data4 0x3F80DE8F,0x3F80E425,0x3F80E9BA,0x3F80EF50 
-data4 0x3F80F4E6,0x3F80FA7C,0x3F810013,0x3F8105AA 
-data4 0x3F810B41,0x3F8110D8,0x3F81166F,0x3F811C07 
-data4 0x3F81219F,0x3F812737,0x3F812CD0,0x3F813269 
-data4 0x3F813802,0x3F813D9B,0x3F814334,0x3F8148CE 
-data4 0x3F814E68,0x3F815402,0x3F81599C,0x3F815F37
-ASM_SIZE_DIRECTIVE(Constants_exp_64_T2)
-
-.align 64 
-Constants_exp_64_W1:
-ASM_TYPE_DIRECTIVE(Constants_exp_64_W1,@object)
-data4 0x00000000,0x00000000,0x171EC4B4,0xBE384454
-data4 0x4AA72766,0xBE694741,0xD42518F8,0xBE5D32B6
-data4 0x3A319149,0x3E68D96D,0x62415F36,0xBE68F4DA
-data4 0xC9C86A3B,0xBE6DDA2F,0xF49228FE,0x3E6B2E50
-data4 0x1188B886,0xBE49C0C2,0x1A4C2F1F,0x3E64BFC2
-data4 0x2CB98B54,0xBE6A2FBB,0x9A55D329,0x3E5DC5DE
-data4 0x39A7AACE,0x3E696490,0x5C66DBA5,0x3E54728B
-data4 0xBA1C7D7D,0xBE62B0DB,0x09F1AF5F,0x3E576E04
-data4 0x1A0DD6A1,0x3E612500,0x795FBDEF,0xBE66A419
-data4 0xE1BD41FC,0xBE5CDE8C,0xEA54964F,0xBE621376
-data4 0x476E76EE,0x3E6370BE,0x3427EB92,0x3E390D1A 
-data4 0x2BF82BF8,0x3E1336DE,0xD0F7BD9E,0xBE5FF1CB 
-data4 0x0CEB09DD,0xBE60A355,0x0980F30D,0xBE5CA37E 
-data4 0x4C082D25,0xBE5C541B,0x3B467D29,0xBE5BBECA 
-data4 0xB9D946C5,0xBE400D8A,0x07ED374A,0xBE5E2A08 
-data4 0x365C8B0A,0xBE66CB28,0xD3403BCA,0x3E3AAD5B 
-data4 0xC7EA21E0,0x3E526055,0xE72880D6,0xBE442C75 
-data4 0x85222A43,0x3E58B2BB,0x522C42BF,0xBE5AAB79 
-data4 0x469DC2BC,0xBE605CB4,0xA48C40DC,0xBE589FA7 
-data4 0x1AA42614,0xBE51C214,0xC37293F4,0xBE48D087 
-data4 0xA2D673E0,0x3E367A1C,0x114F7A38,0xBE51BEBB 
-data4 0x661A4B48,0xBE6348E5,0x1D3B9962,0xBDF52643  
-data4 0x35A78A53,0x3E3A3B5E,0x1CECD788,0xBE46C46C 
-data4 0x7857D689,0xBE60B7EC,0xD14F1AD7,0xBE594D3D 
-data4 0x4C9A8F60,0xBE4F9C30,0x02DFF9D2,0xBE521873 
-data4 0x55E6D68F,0xBE5E4C88,0x667F3DC4,0xBE62140F 
-data4 0x3BF88747,0xBE36961B,0xC96EC6AA,0x3E602861 
-data4 0xD57FD718,0xBE3B5151,0xFC4A627B,0x3E561CD0 
-data4 0xCA913FEA,0xBE3A5217,0x9A5D193A,0x3E40A3CC 
-data4 0x10A9C312,0xBE5AB713,0xC5F57719,0x3E4FDADB 
-data4 0xDBDF59D5,0x3E361428,0x61B4180D,0x3E5DB5DB 
-data4 0x7408D856,0xBE42AD5F,0x31B2B707,0x3E2A3148 
-ASM_SIZE_DIRECTIVE(Constants_exp_64_W1)
-
-.align 64 
-Constants_exp_64_W2:
-ASM_TYPE_DIRECTIVE(Constants_exp_64_W2,@object)
-data4 0x00000000,0x00000000,0x37A3D7A2,0xBE641F25 
-data4 0xAD028C40,0xBE68DD57,0xF212B1B6,0xBE5C77D8 
-data4 0x1BA5B070,0x3E57878F,0x2ECAE6FE,0xBE55A36A 
-data4 0x569DFA3B,0xBE620608,0xA6D300A3,0xBE53B50E 
-data4 0x223F8F2C,0x3E5B5EF2,0xD6DE0DF4,0xBE56A0D9 
-data4 0xEAE28F51,0xBE64EEF3,0x367EA80B,0xBE5E5AE2 
-data4 0x5FCBC02D,0x3E47CB1A,0x9BDAFEB7,0xBE656BA0 
-data4 0x805AFEE7,0x3E6E70C6,0xA3415EBA,0xBE6E0509 
-data4 0x49BFF529,0xBE56856B,0x00508651,0x3E66DD33 
-data4 0xC114BC13,0x3E51165F,0xC453290F,0x3E53333D 
-data4 0x05539FDA,0x3E6A072B,0x7C0A7696,0xBE47CD87 
-data4 0xEB05C6D9,0xBE668BF4,0x6AE86C93,0xBE67C3E3 
-data4 0xD0B3E84B,0xBE533904,0x556B53CE,0x3E63E8D9 
-data4 0x63A98DC8,0x3E212C89,0x032A7A22,0xBE33138F 
-data4 0xBC584008,0x3E530FA9,0xCCB93C97,0xBE6ADF82 
-data4 0x8370EA39,0x3E5F9113,0xFB6A05D8,0x3E5443A4 
-data4 0x181FEE7A,0x3E63DACD,0xF0F67DEC,0xBE62B29D 
-data4 0x3DDE6307,0x3E65C483,0xD40A24C1,0x3E5BF030  
-data4 0x14E437BE,0x3E658B8F,0xED98B6C7,0xBE631C29 
-data4 0x04CF7C71,0x3E6335D2,0xE954A79D,0x3E529EED 
-data4 0xF64A2FB8,0x3E5D9257,0x854ED06C,0xBE6BED1B 
-data4 0xD71405CB,0x3E5096F6,0xACB9FDF5,0xBE3D4893 
-data4 0x01B68349,0xBDFEB158,0xC6A463B9,0x3E628D35 
-data4 0xADE45917,0xBE559725,0x042FC476,0xBE68C29C 
-data4 0x01E511FA,0xBE67593B,0x398801ED,0xBE4A4313 
-data4 0xDA7C3300,0x3E699571,0x08062A9E,0x3E5349BE 
-data4 0x755BB28E,0x3E5229C4,0x77A1F80D,0x3E67E426 
-data4 0x6B69C352,0xBE52B33F,0x084DA57F,0xBE6B3550 
-data4 0xD1D09A20,0xBE6DB03F,0x2161B2C1,0xBE60CBC4 
-data4 0x78A2B771,0x3E56ED9C,0x9D0FA795,0xBE508E31 
-data4 0xFD1A54E9,0xBE59482A,0xB07FD23E,0xBE2A17CE 
-data4 0x17365712,0x3E68BF5C,0xB3785569,0x3E3956F9
-ASM_SIZE_DIRECTIVE(Constants_exp_64_W2)
+// 6. 2^-2 <= x < 709.7827  or  -48.0 <= x < -2^-2  
+//    This is the main path.  The algorithm is described below:
 
-.section .text
-.proc expm1#
-.global expm1#
-.align 64 
-
-expm1: 
-#ifdef _LIBC
-.global __expm1#
-__expm1:
-#endif
-
-
-{ .mii
-      alloc r32 = ar.pfs,0,30,4,0
-(p0)  add r33 = 1, r0  
-(p0)  cmp.eq.unc  p7, p0 =  r0, r0 
-}
-;;
-
-
-//
-//    Set p7 true for expm1
-//    Set Flag = r33 = 1 for expm1
-//    These are really no longer necesary, but are a remnant 
-//       when this file had multiple entry points.
-//       They should be carefully removed
+// Take the input x. w is "how many log2/128 in x?"
+//  w = x * 128/log2
+//  n = int(w)
+//  x = n log2/128 + r + delta
+
+//  n = 128M + index_1 + 2^4 index_2
+//  x = M log2 + (log2/128) index_1 + (log2/8) index_2 + r + delta
+
+//  exp(x) = 2^M  2^(index_1/128)  2^(index_2/8) exp(r) exp(delta)
+//       Construct 2^M
+//       Get 2^(index_1/128) from table_1;
+//       Get 2^(index_2/8)   from table_2;
+//       Calculate exp(r) by series by 5th order polynomial
+//          r = x - n (log2/128)_high
+//          delta = - n (log2/128)_low
+//       Calculate exp(delta) as 1 + delta
+
+
+// Special values
+//==============================================================
+// expm1(+0)    = +0.0
+// expm1(-0)    = -0.0
+
+// expm1(+qnan) = +qnan
+// expm1(-qnan) = -qnan
+// expm1(+snan) = +qnan
+// expm1(-snan) = -qnan
+
+// expm1(-inf)  = -1.0
+// expm1(+inf)  = +inf
+
+// Overflow and Underflow
+//=======================
+// expm1(x) = largest double normal when
+//     x = 709.7827 = 40862e42fefa39ef
+//
+// Underflow is handled as described in case 2 above.
+
+
+// Registers used
+//==============================================================
+// Floating Point registers used:
+// f8, input
+// f9 -> f15,  f32 -> f75
+
+// General registers used:
+// r14 -> r40
+
+// Predicate registers used:
+// p6 -> p15
+
+// Assembly macros
+//==============================================================
+
+rRshf                  = r14
+rAD_TB1                = r15
+rAD_T1                 = r15
+rAD_TB2                = r16
+rAD_T2                 = r16
+rAD_Ln2_lo             = r17
+rAD_P                  = r17
+
+rN                     = r18
+rIndex_1               = r19
+rIndex_2_16            = r20
+
+rM                     = r21
+rBiased_M              = r21
+rIndex_1_16            = r22
+rSignexp_x             = r23
+rExp_x                 = r24
+rSig_inv_ln2           = r25
+
+rAD_Q1                 = r26
+rAD_Q2                 = r27
+rTmp                   = r27
+rExp_bias              = r28
+rExp_mask              = r29
+rRshf_2to56            = r30
+
+rGt_ln                 = r31
+rExp_2tom56            = r31
+
+
+GR_SAVE_B0             = r33
+GR_SAVE_PFS            = r34
+GR_SAVE_GP             = r35
+GR_SAVE_SP             = r36
+
+GR_Parameter_X         = r37
+GR_Parameter_Y         = r38
+GR_Parameter_RESULT    = r39
+GR_Parameter_TAG       = r40
+
+
+FR_X                   = f10
+FR_Y                   = f1
+FR_RESULT              = f8
+
+fRSHF_2TO56            = f6
+fINV_LN2_2TO63         = f7
+fW_2TO56_RSH           = f9
+f2TOM56                = f11
+fP5                    = f12
+fP54                   = f50
+fP5432                 = f50
+fP4                    = f13
+fP3                    = f14
+fP32                   = f14
+fP2                    = f15
+
+fLn2_by_128_hi         = f33
+fLn2_by_128_lo         = f34
+
+fRSHF                  = f35
+fNfloat                = f36
+fW                     = f37
+fR                     = f38
+fF                     = f39
+
+fRsq                   = f40
+fRcube                 = f41
+
+f2M                    = f42
+fS1                    = f43
+fT1                    = f44
+
+fMIN_DBL_OFLOW_ARG     = f45
+fMAX_DBL_MINUS_1_ARG   = f46
+fMAX_DBL_NORM_ARG      = f47
+fP_lo                  = f51
+fP_hi                  = f52
+fP                     = f53
+fS                     = f54
+
+fNormX                 = f56
+
+fWre_urm_f8            = f57
+
+fGt_pln                = f58
+fTmp                   = f58
+
+fS2                    = f59
+fT2                    = f60
+fSm1                   = f61
+
+fXsq                   = f62
+fX6                    = f63
+fX4                    = f63
+fQ7                    = f64
+fQ76                   = f64
+fQ7654                 = f64
+fQ765432               = f64
+fQ6                    = f65
+fQ5                    = f66
+fQ54                   = f66
+fQ4                    = f67
+fQ3                    = f68
+fQ32                   = f68
+fQ2                    = f69
+fQD                    = f70
+fQDC                   = f70
+fQDCBA                 = f70
+fQDCBA98               = f70
+fQDCBA98765432         = f70
+fQC                    = f71
+fQB                    = f72
+fQBA                   = f72
+fQA                    = f73
+fQ9                    = f74
+fQ98                   = f74
+fQ8                    = f75
+
+// Data tables
+//==============================================================
+
+RODATA
+.align 16
+
+// ************* DO NOT CHANGE ORDER OF THESE TABLES ********************
+
+// double-extended 1/ln(2)
+// 3fff b8aa 3b29 5c17 f0bb be87fed0691d3e88
+// 3fff b8aa 3b29 5c17 f0bc
+// For speed the significand will be loaded directly with a movl and setf.sig
+//   and the exponent will be bias+63 instead of bias+0.  Thus subsequent
+//   computations need to scale appropriately.
+// The constant 128/ln(2) is needed for the computation of w.  This is also
+//   obtained by scaling the computations.
+//
+// Two shifting constants are loaded directly with movl and setf.d.
+//   1. fRSHF_2TO56 = 1.1000..00 * 2^(63-7)
+//        This constant is added to x*1/ln2 to shift the integer part of
+//        x*128/ln2 into the rightmost bits of the significand.
+//        The result of this fma is fW_2TO56_RSH.
+//   2. fRSHF       = 1.1000..00 * 2^(63)
+//        This constant is subtracted from fW_2TO56_RSH * 2^(-56) to give
+//        the integer part of w, n, as a floating-point number.
+//        The result of this fms is fNfloat.
+
+
+LOCAL_OBJECT_START(exp_Table_1)
+data8 0x40862e42fefa39f0 // smallest dbl overflow arg
+data8 0xc048000000000000 // approx largest arg for minus one result
+data8 0x40862e42fefa39ef // largest dbl arg to give normal dbl result
+data8 0x0                // pad
+data8 0xb17217f7d1cf79ab , 0x00003ff7 // ln2/128 hi
+data8 0xc9e3b39803f2f6af , 0x00003fb7 // ln2/128 lo
+//
+// Table 1 is 2^(index_1/128) where
+// index_1 goes from 0 to 15
+//
+data8 0x8000000000000000 , 0x00003FFF
+data8 0x80B1ED4FD999AB6C , 0x00003FFF
+data8 0x8164D1F3BC030773 , 0x00003FFF
+data8 0x8218AF4373FC25EC , 0x00003FFF
+data8 0x82CD8698AC2BA1D7 , 0x00003FFF
+data8 0x8383594EEFB6EE37 , 0x00003FFF
+data8 0x843A28C3ACDE4046 , 0x00003FFF
+data8 0x84F1F656379C1A29 , 0x00003FFF
+data8 0x85AAC367CC487B15 , 0x00003FFF
+data8 0x8664915B923FBA04 , 0x00003FFF
+data8 0x871F61969E8D1010 , 0x00003FFF
+data8 0x87DB357FF698D792 , 0x00003FFF
+data8 0x88980E8092DA8527 , 0x00003FFF
+data8 0x8955EE03618E5FDD , 0x00003FFF
+data8 0x8A14D575496EFD9A , 0x00003FFF
+data8 0x8AD4C6452C728924 , 0x00003FFF
+LOCAL_OBJECT_END(exp_Table_1)
+
+// Table 2 is 2^(index_1/8) where
+// index_2 goes from 0 to 7
+LOCAL_OBJECT_START(exp_Table_2)
+data8 0x8000000000000000 , 0x00003FFF
+data8 0x8B95C1E3EA8BD6E7 , 0x00003FFF
+data8 0x9837F0518DB8A96F , 0x00003FFF
+data8 0xA5FED6A9B15138EA , 0x00003FFF
+data8 0xB504F333F9DE6484 , 0x00003FFF
+data8 0xC5672A115506DADD , 0x00003FFF
+data8 0xD744FCCAD69D6AF4 , 0x00003FFF
+data8 0xEAC0C6E7DD24392F , 0x00003FFF
+LOCAL_OBJECT_END(exp_Table_2)
+
+
+LOCAL_OBJECT_START(exp_p_table)
+data8 0x3f8111116da21757 //P5
+data8 0x3fa55555d787761c //P4
+data8 0x3fc5555555555414 //P3
+data8 0x3fdffffffffffd6a //P2
+LOCAL_OBJECT_END(exp_p_table)
+
+LOCAL_OBJECT_START(exp_Q1_table)
+data8 0x3de6124613a86d09 // QD = 1/13!
+data8 0x3e21eed8eff8d898 // QC = 1/12!
+data8 0x3ec71de3a556c734 // Q9 = 1/9!
+data8 0x3efa01a01a01a01a // Q8 = 1/8!
+data8 0x8888888888888889,0x3ff8 // Q5 = 1/5!
+data8 0xaaaaaaaaaaaaaaab,0x3ffc // Q3 = 1/3!
+data8 0x0,0x0            // Pad to avoid bank conflicts
+LOCAL_OBJECT_END(exp_Q1_table)
+
+LOCAL_OBJECT_START(exp_Q2_table)
+data8 0x3e5ae64567f544e4 // QB = 1/11!
+data8 0x3e927e4fb7789f5c // QA = 1/10!
+data8 0x3f2a01a01a01a01a // Q7 = 1/7!
+data8 0x3f56c16c16c16c17 // Q6 = 1/6!
+data8 0xaaaaaaaaaaaaaaab,0x3ffa // Q4 = 1/4!
+data8 0x8000000000000000,0x3ffe // Q2 = 1/2!
+LOCAL_OBJECT_END(exp_Q2_table)
 
 
+.section .text
+GLOBAL_IEEE754_ENTRY(expm1)
 
-{ .mfi
-(p0)  add r32 = 1,r0  
-(p0)  fnorm.s1 f9 = f8 
-      nop.i 999
+{ .mlx
+      getf.exp        rSignexp_x = f8  // Must recompute if x unorm
+      movl            rSig_inv_ln2 = 0xb8aa3b295c17f0bc  // signif of 1/ln2
 }
-
-
-{ .mfi
-      nop.m 999
-(p0)  fclass.m.unc p6, p8 =  f8, 0x1E7 
-      nop.i 999
+{ .mlx
+      addl            rAD_TB1    = @ltoff(exp_Table_1), gp
+      movl            rRshf_2to56 = 0x4768000000000000   // 1.10000 2^(63+56)
 }
+;;
 
+// We do this fnorm right at the beginning to normalize
+// any input unnormals so that SWA is not taken.
 { .mfi
-      nop.m 999
-(p0)  fclass.nm.unc p9, p0 =  f8, 0x1FF 
-      nop.i 999
+      ld8             rAD_TB1    = [rAD_TB1]
+      fclass.m        p6,p0 = f8,0x0b  // Test for x=unorm
+      mov             rExp_mask = 0x1ffff
 }
-
 { .mfi
-	nop.m 999
-(p0)  mov f36 = f1 
-	nop.i 999 ;;
-}
-
-//     
-//    Identify NatVals, NaNs, Infs, and Zeros. 
-//    Identify EM unsupporteds. 
-//    Save special input registers 
-//
-//    Create FR_X_cor      = 0.0 
-//           GR_Flag       = 0 
-//           GR_Expo_Range = 1
-//           FR_Scale      = 1.0
-//
-
-{ .mfb
-	nop.m 999
-(p0)  mov f32 = f0 
-(p6)  br.cond.spnt EXP_64_SPECIAL ;; 
-}
-
-{ .mib
-	nop.m 999
-	nop.i 999
-(p9)  br.cond.spnt EXP_64_UNSUPPORTED ;; 
-}
-
-//     
-//    Branch out for special input values 
-//     
-
-{ .mfi
-(p0)  cmp.ne.unc p12, p13 = 0x01, r33
-(p0)  fcmp.lt.unc.s0 p9,p0 =  f8, f0 
-(p0)  cmp.eq.unc  p15, p0 =  r0, r0 
-}
-
-//     
-//    Raise possible denormal operand exception 
-//    Normalize x 
-//     
-//    This function computes exp( x  + x_cor) 
-//    Input  FR 1: FR_X            
-//    Input  FR 2: FR_X_cor  
-//    Input  GR 1: GR_Flag  
-//    Input  GR 2: GR_Expo_Range  
-//    Output FR 3: FR_Y_hi  
-//    Output FR 4: FR_Y_lo  
-//    Output FR 5: FR_Scale  
-//    Output PR 1: PR_Safe  
-
-//
-//    Prepare to load constants
-//    Set Safe = True
-//
-
-{ .mmi
-(p0)  addl           r34   = @ltoff(Constants_exp_64_Arg#), gp
-(p0)  addl           r40   = @ltoff(Constants_exp_64_W1#),  gp
-(p0)  addl           r41   = @ltoff(Constants_exp_64_W2#),  gp
-}
-;;
-
-{ .mmi
-      ld8 r34 = [r34]
-      ld8 r40 = [r40]
-(p0)  addl           r50   = @ltoff(Constants_exp_64_T1#),  gp
-}
-;;
-
-
-{ .mmi
-      ld8 r41  = [r41]
-(p0)  ldfe f37 = [r34],16 
-(p0)  addl           r51   = @ltoff(Constants_exp_64_T2#),  gp
-}
-;;
-
-//
-//    N = fcvt.fx(float_N)
-//    Set p14 if -6 > expo_X 
-//
-
-
-//
-//    Bias = 0x0FFFF
-//    expo_X = expo_X and Mask  
-//
-
-//
-//    Load L_lo
-//    Set p10 if 14 < expo_X 
-//
-
-{ .mmi
-      ld8  r50 = [r50]
-(p0)  ldfe f40 = [r34],16 
-      nop.i 999
+      mov             rExp_bias = 0xffff
+      fnorm.s1        fNormX   = f8
+      mov             rExp_2tom56 = 0xffff-56
 }
 ;;
 
-{ .mlx
-	nop.m 999
-(p0)  movl r58 = 0x0FFFF 
-}
-;;
-
-//
-//    Load W2_ptr
-//    Branch to SMALL is expo_X < -6
-//
+// Form two constants we need
+//  1/ln2 * 2^63  to compute  w = x * 1/ln2 * 128
+//  1.1000..000 * 2^(63+63-7) to right shift int(w) into the significand
 
-//
-//    float_N = X * L_Inv
-//    expo_X = exponent of X
-//    Mask = 0x1FFFF
-//
-
-{ .mmi
-      ld8  r51 = [r51]
-(p0)  ldfe f41 = [r34],16 
+{ .mfi
+      setf.sig        fINV_LN2_2TO63 = rSig_inv_ln2 // form 1/ln2 * 2^63
+      fclass.m        p8,p0 = f8,0x07  // Test for x=0
+      nop.i           0
 }
-;;
-
 { .mlx
-(p0)  addl           r34   = @ltoff(Constants_exp_64_Exponents#),  gp
-(p0)  movl r39 = 0x1FFFF
-}
-;;
-
-{ .mmi
-      ld8  r34 = [r34]
-(p0)  getf.exp r37 = f9 
-      nop.i 999
+      setf.d          fRSHF_2TO56 = rRshf_2to56 // Form 1.100 * 2^(63+56)
+      movl            rRshf = 0x43e8000000000000   // 1.10000 2^63 for rshift
 }
 ;;
 
-{ .mii
-      nop.m 999
-      nop.i 999 
-(p0)  and  r37 = r37, r39 ;;  
-}
-
-{ .mmi
-(p0)  sub r37 = r37, r58 ;;  
-(p0)  cmp.gt.unc  p14, p0 =  -6, r37 
-(p0)  cmp.lt.unc  p10, p0 =  14, r37 ;; 
-}
-
 { .mfi
-	nop.m 999
-//
-//    Load L_inv 
-//    Set p12 true for Flag = 0 (exp)
-//    Set p13 true for Flag = 1 (expm1)
-//
-(p0)  fmpy.s1 f38 = f9, f37 
-	nop.i 999 ;;
+      setf.exp        f2TOM56 = rExp_2tom56 // form 2^-56 for scaling Nfloat
+      fclass.m        p9,p0 = f8,0x22  // Test for x=-inf
+      add             rAD_TB2 = 0x140, rAD_TB1 // Point to Table 2
 }
-
-{ .mfb
-	nop.m 999
-//
-//    Load L_hi
-//    expo_X = expo_X - Bias
-//    get W1_ptr      
-//
-(p0)  fcvt.fx.s1 f39 = f38
-(p14) br.cond.spnt EXP_SMALL ;; 
-}
-
 { .mib
-	nop.m 999
-	nop.i 999
-(p10) br.cond.spnt EXP_HUGE ;; 
-}
-
-{ .mmi
-(p0)  shladd r34 = r32,4,r34 
-(p0)  addl           r35   = @ltoff(Constants_exp_64_A#), gp
-      nop.i 999
+      add             rAD_Q1 = 0x1e0, rAD_TB1 // Point to Q table for small path
+      add             rAD_Ln2_lo = 0x30, rAD_TB1 // Point to ln2_by_128_lo
+(p6)  br.cond.spnt    EXPM1_UNORM // Branch if x unorm
 }
 ;;
 
-{ .mmi
-      ld8  r35 = [r35]
-      nop.m 999
-      nop.i 999
-}
-;;
-
-//
-//    Load T_1,T_2
-//
-
-{ .mmb
-(p0)  ldfe f51 = [r35],16 
-(p0)  ld8 r45 = [r34],8
-	nop.b 999 ;;
-}
-//    
-//    Set Safe = True  if k >= big_expo_neg  
-//    Set Safe = False if k < big_expo_neg  
-//    
-
-{ .mmb
-(p0)  ldfe f49 = [r35],16 
-(p0)  ld8 r48 = [r34],0
-	nop.b 999 ;;
-}
-
-{ .mfi
-	nop.m 999
-//
-//    Branch to HUGE is expo_X > 14 
-//
-(p0)  fcvt.xf f38 = f39 
-	nop.i 999 ;;
-}
-
+EXPM1_COMMON:
 { .mfi
-(p0)  getf.sig r52 = f39 
-	nop.f 999
-	nop.i 999 ;;
-}
-
-{ .mii
-	nop.m 999
-(p0)  extr.u r43 = r52, 6, 6 ;;  
-//
-//    r = r - float_N * L_lo
-//    K = extr(N_fix,12,52)
-//
-(p0)  shladd r40 = r43,3,r40 ;; 
-}
-
-{ .mfi
-(p0)  shladd r50 = r43,2,r50 
-(p0)  fnma.s1 f42 = f40, f38, f9 
-//
-//    float_N = float(N)
-//    N_fix = signficand N 
-//
-(p0)  extr.u r42 = r52, 0, 6  
-}
-
-{ .mmi
-(p0)  ldfd  f43 = [r40],0 ;; 
-(p0)  shladd r41 = r42,3,r41 
-(p0)  shladd r51 = r42,2,r51 
-}
-//
-//    W_1_p1 = 1 + W_1
-//
-
-{ .mmi
-(p0)  ldfs  f44 = [r50],0 ;; 
-(p0)  ldfd  f45 = [r41],0 
-//
-//    M_2 = extr(N_fix,0,6)
-//    M_1 = extr(N_fix,6,6)
-//    r = X - float_N * L_hi
-//
-(p0)  extr r44 = r52, 12, 52  
-}
-
-{ .mmi
-(p0)  ldfs  f46 = [r51],0 ;; 
-(p0)  sub r46 = r58, r44  
-(p0)  cmp.gt.unc  p8, p15 =  r44, r45 
-}
-//    
-//    W = W_1 + W_1_p1*W_2 
-//    Load  A_2 
-//    Bias_m_K = Bias - K
-//
-
-{ .mii
-(p0)  ldfe f40 = [r35],16 
-//
-//    load A_1
-//    poly = A_2 + r*A_3 
-//    rsq = r * r  
-//    neg_2_mK = exponent of Bias_m_k
-//
-(p0)  add r47 = r58, r44 ;;  
-//    
-//    Set Safe = True  if k <= big_expo_pos  
-//    Set Safe = False  if k >  big_expo_pos  
-//    Load A_3
-//    
-(p15) cmp.lt p8,p15 = r44,r48 ;;
-}
-
-{ .mmf
-(p0)  setf.exp f61 = r46 
-//    
-//    Bias_p + K = Bias + K
-//    T = T_1 * T_2
-//    
-(p0)  setf.exp f36 = r47 
-(p0)  fnma.s1 f42 = f41, f38, f42 ;; 
+      ldfpd           fMIN_DBL_OFLOW_ARG, fMAX_DBL_MINUS_1_ARG = [rAD_TB1],16
+      fclass.m        p10,p0 = f8,0x1e1  // Test for x=+inf, NaN, NaT
+      add             rAD_Q2 = 0x50, rAD_Q1   // Point to Q table for small path
 }
-
-{ .mfi
-	nop.m 999
-//
-//    Load W_1,W_2
-//    Load big_exp_pos, load big_exp_neg
-//
-(p0)  fadd.s1 f47 = f43, f1 
-	nop.i 999 ;;
+{ .mfb
+      nop.m           0
+      nop.f           0
+(p8)  br.ret.spnt     b0                        // Exit for x=0, return x
 }
+;;
 
 { .mfi
-	nop.m 999
-(p0)  fma.s1 f52 = f42, f51, f49 
-	nop.i 999
+      ldfd            fMAX_DBL_NORM_ARG = [rAD_TB1],16
+      nop.f           0
+      and             rExp_x = rExp_mask, rSignexp_x // Biased exponent of x
 }
-
-{ .mfi
-	nop.m 999
-(p0)  fmpy.s1 f48 = f42, f42 
-	nop.i 999 ;;
+{ .mfb
+      setf.d          fRSHF = rRshf // Form right shift const 1.100 * 2^63
+(p9)  fms.d.s0        f8 = f0,f0,f1            // quick exit for x=-inf
+(p9)  br.ret.spnt     b0
 }
+;;
 
 { .mfi
-	nop.m 999
-(p0)  fmpy.s1 f53 = f44, f46 
-	nop.i 999 ;;
+      ldfpd           fQD, fQC = [rAD_Q1], 16  // Load coeff for small path
+      nop.f           0
+      sub             rExp_x = rExp_x, rExp_bias // True exponent of x
 }
-
-{ .mfi
-	nop.m 999
-(p0)  fma.s1 f54 = f45, f47, f43 
-	nop.i 999
+{ .mfb
+      ldfpd           fQB, fQA = [rAD_Q2], 16  // Load coeff for small path
+(p10) fma.d.s0        f8 = f8, f1, f0          // For x=+inf, NaN, NaT
+(p10) br.ret.spnt     b0                       // Exit for x=+inf, NaN, NaT
 }
+;;
 
 { .mfi
-	nop.m 999
-(p0)  fneg f61 =  f61 
-	nop.i 999 ;;
+      ldfpd           fQ9, fQ8 = [rAD_Q1], 16  // Load coeff for small path
+      fma.s1          fXsq = fNormX, fNormX, f0  // x*x for small path
+      cmp.gt          p7, p8 = -2, rExp_x      // Test |x| < 2^(-2)
 }
-
 { .mfi
-	nop.m 999
-(p0)  fma.s1 f52 = f42, f52, f40 
-	nop.i 999 ;;
+      ldfpd           fQ7, fQ6 = [rAD_Q2], 16  // Load coeff for small path
+      nop.f           0
+      nop.i           0
 }
+;;
 
 { .mfi
-	nop.m 999
-(p0)  fadd.s1 f55 = f54, f1 
-	nop.i 999
+      ldfe            fQ5 = [rAD_Q1], 16       // Load coeff for small path
+      nop.f           0
+      nop.i           0
 }
-
-{ .mfi
-	nop.m 999
-//
-//    W + Wp1 * poly     
-// 
-(p0)  mov f34 = f53 
-	nop.i 999 ;;
+{ .mib
+      ldfe            fQ4 = [rAD_Q2], 16       // Load coeff for small path
+(p7)  cmp.gt.unc      p6, p7 = -60, rExp_x     // Test |x| < 2^(-60)
+(p7)  br.cond.spnt    EXPM1_SMALL              // Branch if 2^-60 <= |x| < 2^-2
 }
+;;
 
-{ .mfi
-	nop.m 999
-//
-//    A_1 + r * poly 
-//    Scale = setf_exp(Bias_p_k) 
-//
-(p0)  fma.s1 f52 = f48, f52, f42 
-	nop.i 999 ;;
-}
+// W = X * Inv_log2_by_128
+// By adding 1.10...0*2^63 we shift and get round_int(W) in significand.
+// We actually add 1.10...0*2^56 to X * Inv_log2 to do the same thing.
 
 { .mfi
-	nop.m 999
-//
-//    poly = r + rsq(A_1 + r*poly) 
-//    Wp1 = 1 + W
-//    neg_2_mK = -neg_2_mK
-//
-(p0)  fma.s1 f35 = f55, f52, f54
-	nop.i 999 ;;
+      ldfe            fLn2_by_128_hi  = [rAD_TB1],32
+      fma.s1          fW_2TO56_RSH  = fNormX, fINV_LN2_2TO63, fRSHF_2TO56
+      nop.i           0
 }
-
 { .mfb
-	nop.m 999
-(p0)  fmpy.s1 f35 = f35, f53 
-//   
-//    Y_hi = T
-//    Y_lo = T * (W + Wp1*poly)
-//
-(p12) br.cond.sptk EXP_MAIN ;; 
+      ldfe            fLn2_by_128_lo  = [rAD_Ln2_lo]
+(p6)  fma.d.s0        f8 = f8, f8, f8 // If x < 2^-60, result=x+x*x
+(p6)  br.ret.spnt     b0              // Exit if x < 2^-60
 }
-//
-//    Branch if exp(x)  
-//    Continue for exp(x-1)
-//
+;;
 
-{ .mii
-(p0)  cmp.lt.unc  p12, p13 =  10, r44 
-	nop.i 999 ;;
-//
-//    Set p12 if 10 < K, Else p13 
-//
-(p13) cmp.gt.unc  p13, p14 =  -10, r44 ;; 
-}
+// Divide arguments into the following categories:
+//  Certain minus one       p11 - -inf < x <= MAX_DBL_MINUS_1_ARG
+//  Possible Overflow       p14 - MAX_DBL_NORM_ARG < x < MIN_DBL_OFLOW_ARG
+//  Certain Overflow        p15 - MIN_DBL_OFLOW_ARG <= x < +inf
 //
-//    K > 10:  Y_lo = Y_lo + neg_2_mK
-//    K <=10:  Set p13 if -10 > K, Else set p14 
+// If the input is really a double arg, then there will never be "Possible
+// Overflow" arguments.
 //
 
-{ .mfi
-(p13) cmp.eq  p15, p0 =  r0, r0 
-(p14) fadd.s1 f34 = f61, f34 
-	nop.i 999 ;;
-}
+// After that last load, rAD_TB1 points to the beginning of table 1
 
 { .mfi
-	nop.m 999
-(p12) fadd.s1 f35 = f35, f61 
-	nop.i 999 ;;
+      nop.m           0
+      fcmp.ge.s1      p15,p14 = fNormX,fMIN_DBL_OFLOW_ARG
+      nop.i           0
 }
+;;
 
 { .mfi
-	nop.m 999
-(p13) fadd.s1 f35 = f35, f34 
-	nop.i 999
+      add             rAD_P = 0x80, rAD_TB2
+      fcmp.le.s1      p11,p0 = fNormX,fMAX_DBL_MINUS_1_ARG
+      nop.i           0
 }
+;;
 
 { .mfb
-	nop.m 999
-//
-//    K <= 10 and K < -10, Set Safe = True
-//    K <= 10 and K < 10,   Y_lo = Y_hi + Y_lo 
-//    K <= 10 and K > =-10, Y_hi = Y_hi + neg_2_mk 
-// 
-(p13) mov f34 = f61 
-(p0)  br.cond.sptk EXP_MAIN ;; 
-}
-EXP_SMALL: 
-
-{ .mmi
-(p12)  addl           r35   = @ltoff(Constants_exp_64_P#), gp
-(p0)   addl           r34   = @ltoff(Constants_exp_64_Exponents#), gp
-      nop.i 999
+      ldfpd           fP5, fP4  = [rAD_P] ,16
+(p14) fcmp.gt.unc.s1  p14,p0 = fNormX,fMAX_DBL_NORM_ARG
+(p15) br.cond.spnt    EXPM1_CERTAIN_OVERFLOW
 }
 ;;
 
-{ .mmi
-(p12) ld8 r35 = [r35]
-      ld8 r34 = [r34]
-      nop.i 999
-}
-;;
+// Nfloat = round_int(W)
+// The signficand of fW_2TO56_RSH contains the rounded integer part of W,
+// as a twos complement number in the lower bits (that is, it may be negative).
+// That twos complement number (called N) is put into rN.
 
+// Since fW_2TO56_RSH is scaled by 2^56, it must be multiplied by 2^-56
+// before the shift constant 1.10000 * 2^63 is subtracted to yield fNfloat.
+// Thus, fNfloat contains the floating point version of N
 
-{ .mmi
-(p13)  addl           r35   = @ltoff(Constants_exp_64_Q#), gp
-       nop.m 999
-       nop.i 999
+{ .mfb
+      ldfpd           fP3, fP2  = [rAD_P]
+      fms.s1          fNfloat = fW_2TO56_RSH, f2TOM56, fRSHF
+(p11) br.cond.spnt    EXPM1_CERTAIN_MINUS_ONE
 }
 ;;
 
-
-// 
-//    Return
-//    K <= 10 and K < 10,   Y_hi = neg_2_mk 
-// 
-//    /*******************************************************/
-//    /*********** Branch EXP_SMALL  *************************/
-//    /*******************************************************/
-
 { .mfi
-(p13) ld8 r35 = [r35]
-(p0)  mov f42 = f9 
-(p0)  add r34 = 0x48,r34  
+      getf.sig        rN = fW_2TO56_RSH
+      nop.f           0
+      nop.i           0
 }
 ;;
 
-//
-//    Flag = 0
-//    r4 = rsq * rsq
-//
+// rIndex_1 has index_1
+// rIndex_2_16 has index_2 * 16
+// rBiased_M has M
+// rIndex_1_16 has index_1 * 16
 
+// r = x - Nfloat * ln2_by_128_hi
+// f = 1 - Nfloat * ln2_by_128_lo
 { .mfi
-(p0)  ld8 r49 =[r34],0
-	nop.f 999
-	nop.i 999 ;;
-}
-
-{ .mii
-	nop.m 999
-	nop.i 999 ;;
-//
-//    Flag = 1
-//
-(p0)  cmp.lt.unc  p14, p0 =  r37, r49 ;; 
-}
-
-{ .mfi
-	nop.m 999
-//
-//    r = X
-//
-(p0)  fmpy.s1 f48 = f42, f42 
-	nop.i 999 ;;
-}
-
-{ .mfb
-	nop.m 999
-//
-//    rsq = r * r
-//
-(p0)  fmpy.s1 f50 = f48, f48 
-//
-//    Is input very small?
-//
-(p14) br.cond.spnt EXP_VERY_SMALL ;; 
-}
-//
-//    Flag_not1: Y_hi = 1.0
-//    Flag is 1: r6 = rsq * r4
-//
-
-{ .mfi
-(p12) ldfe f52 = [r35],16 
-(p12) mov f34 = f1 
-(p0)  add r53 = 0x1,r0 ;;  
-}
-
-{ .mfi
-(p13) ldfe f51 = [r35],16 
-//
-//    Flag_not_1: Y_lo = poly_hi + r4 * poly_lo
-//
-(p13) mov f34 = f9 
-	nop.i 999 ;;
-}
-
-{ .mmf
-(p12) ldfe f53 = [r35],16 
-//
-//    For Flag_not_1, Y_hi = X
-//    Scale = 1
-//    Create 0x000...01
-//
-(p0)  setf.sig f37 = r53 
-(p0)  mov f36 = f1 ;; 
-}
-
-{ .mmi
-(p13) ldfe f52 = [r35],16 ;; 
-(p12) ldfe f54 = [r35],16 
-	nop.i 999 ;;
+      and             rIndex_1 = 0x0f, rN
+      fnma.s1         fR   = fNfloat, fLn2_by_128_hi, fNormX
+      shr             rM = rN,  0x7
 }
-
 { .mfi
-(p13) ldfe f53 = [r35],16 
-(p13) fmpy.s1 f58 = f48, f50 
-	nop.i 999 ;;
+      and             rIndex_2_16 = 0x70, rN
+      fnma.s1         fF   = fNfloat, fLn2_by_128_lo, f1
+      nop.i           0
 }
-//
-//    Flag_not1: poly_lo = P_5 + r*P_6
-//    Flag_1: poly_lo = Q_6 + r*Q_7
-//
+;;
 
-{ .mmi
-(p13) ldfe f54 = [r35],16 ;; 
-(p12) ldfe f55 = [r35],16 
-	nop.i 999 ;;
-}
+// rAD_T1 has address of T1
+// rAD_T2 has address if T2
 
 { .mmi
-(p12) ldfe f56 = [r35],16 ;; 
-(p13) ldfe f55 = [r35],16 
-	nop.i 999 ;;
+      add             rBiased_M = rExp_bias, rM
+      add             rAD_T2 = rAD_TB2, rIndex_2_16
+      shladd          rAD_T1 = rIndex_1, 4, rAD_TB1
 }
+;;
 
+// Create Scale = 2^M
+// Load T1 and T2
 { .mmi
-(p12) ldfe f57 = [r35],0 ;; 
-(p13) ldfe f56 = [r35],16 
-	nop.i 999 ;;
-}
-
-{ .mfi
-(p13) ldfe f57 = [r35],0 
-	nop.f 999
-	nop.i 999 ;;
-}
-
-{ .mfi
-	nop.m 999
-//
-//    For  Flag_not_1, load p5,p6,p1,p2
-//    Else load p5,p6,p1,p2
-//
-(p12) fma.s1 f60 = f52, f42, f53 
-	nop.i 999 ;;
-}
-
-{ .mfi
-	nop.m 999
-(p13) fma.s1 f60 = f51, f42, f52 
-	nop.i 999 ;;
-}
-
-{ .mfi
-	nop.m 999
-(p12) fma.s1 f60 = f60, f42, f54 
-	nop.i 999 ;;
-}
-
-{ .mfi
-	nop.m 999
-(p12) fma.s1 f59 = f56, f42, f57 
-	nop.i 999 ;;
-}
-
-{ .mfi
-	nop.m 999
-(p13) fma.s1 f60 = f42, f60, f53 
-	nop.i 999 ;;
-}
-
-{ .mfi
-	nop.m 999
-(p12) fma.s1 f59 = f59, f48, f42 
-	nop.i 999 ;;
-}
-
-{ .mfi
-	nop.m 999
-//
-//    Flag_1: poly_lo = Q_5 + r*(Q_6 + r*Q_7) 
-//    Flag_not1: poly_lo = P_4 + r*(P_5 + r*P_6)
-//    Flag_not1: poly_hi = (P_1 + r*P_2)
-//
-(p13) fmpy.s1 f60 = f60, f58 
-	nop.i 999 ;;
-}
-
-{ .mfi
-	nop.m 999
-(p12) fma.s1 f60 = f60, f42, f55 
-	nop.i 999 ;;
+      setf.exp        f2M = rBiased_M
+      ldfe            fT2  = [rAD_T2]
+      nop.i           0
 }
+;;
 
 { .mfi
-	nop.m 999
-//
-//    Flag_1: poly_lo = r6 *(Q_5 + ....)
-//    Flag_not1: poly_hi =  r + rsq *(P_1 + r*P_2)
-//
-(p12) fma.s1 f35 = f60, f50, f59 
-	nop.i 999
+      ldfe            fT1  = [rAD_T1]
+      fmpy.s0         fTmp = fLn2_by_128_lo, fLn2_by_128_lo // Force inexact
+      nop.i           0
 }
+;;
 
 { .mfi
-	nop.m 999
-(p13) fma.s1 f59 = f54, f42, f55 
-	nop.i 999 ;;
+      nop.m           0
+      fma.s1          fP54 = fR, fP5, fP4
+      nop.i           0
 }
-
 { .mfi
-	nop.m 999
-//
-//    Flag_not1: Y_lo = rsq* poly_hi + poly_lo 
-//    Flag_1: poly_lo = rsq* poly_hi + poly_lo 
-//
-(p13) fma.s1 f59 = f59, f42, f56 
-	nop.i 999 ;;
-}
-
-{ .mfi
-	nop.m 999
-//
-//    Flag_not_1: (P_1 + r*P_2) 
-//
-(p13) fma.s1 f59 = f59, f42, f57 
-	nop.i 999 ;;
+      nop.m           0
+      fma.s1          fP32 = fR, fP3, fP2
+      nop.i           0
 }
+;;
 
 { .mfi
-	nop.m 999
-//
-//    Flag_not_1: poly_hi = r + rsq * (P_1 + r*P_2) 
-//
-(p13) fma.s1 f35 = f59, f48, f60 
-	nop.i 999 ;;
+      nop.m           0
+      fma.s1          fRsq = fR, fR, f0
+      nop.i           0
 }
+;;
 
 { .mfi
-	nop.m 999
-//
-//    Create 0.000...01
-//
-(p0)  for f37 = f35, f37 
-	nop.i 999 ;;
-}
-
-{ .mfb
-	nop.m 999
-//
-//    Set lsb of Y_lo to 1
-//
-(p0)  fmerge.se f35 = f35,f37 
-(p0)  br.cond.sptk EXP_MAIN ;; 
-}
-EXP_VERY_SMALL: 
-
-{ .mmi
-      nop.m 999
-(p13) addl r34 = @ltoff(Constants_exp_64_Exponents#),gp 
-      nop.i 999;;
+      nop.m           0
+      fma.s1          fP5432  = fRsq, fP54, fP32
+      nop.i           0
 }
+;;
 
 { .mfi
-(p13) ld8  r34 = [r34];
-(p12) mov f35 = f9 
-      nop.i 999 ;;
-}
-
-{ .mfb
-	nop.m 999
-(p12) mov f34 = f1 
-(p12) br.cond.sptk EXP_MAIN ;; 
-}
-
-{ .mlx
-(p13) add  r34 = 8,r34 
-(p13) movl r39 = 0x0FFFE ;; 
+      nop.m           0
+      fma.s1          fS2  = fF,fT2,f0
+      nop.i           0
 }
-//
-//    Load big_exp_neg 
-//    Create 1/2's exponent
-//
-
-{ .mii
-(p13) setf.exp f56 = r39 
-(p13) shladd r34 = r32,4,r34 ;;  
-	nop.i 999
-}
-//
-//    Negative exponents are stored after positive
-//
-
 { .mfi
-(p13) ld8 r45 = [r34],0
-//
-//    Y_hi = x
-//    Scale = 1
-//
-(p13) fmpy.s1 f35 = f9, f9 
-	nop.i 999 ;;
+      nop.m           0
+      fma.s1          fS1  = f2M,fT1,f0
+      nop.i           0
 }
+;;
 
 { .mfi
-	nop.m 999
-//
-//    Reset Safe if necessary 
-//    Create 1/2
-//
-(p13) mov f34 = f9 
-	nop.i 999 ;;
+      nop.m           0
+      fma.s1          fP = fRsq, fP5432, fR
+      nop.i           0
 }
+;;
 
 { .mfi
-(p13) cmp.lt.unc  p0, p15 =  r37, r45 
-(p13) mov f36 = f1 
-	nop.i 999 ;;
+      nop.m           0
+      fms.s1          fSm1 = fS1,fS2,f1    // S - 1.0
+      nop.i           0
 }
-
 { .mfb
-	nop.m 999
-//
-//    Y_lo = x * x
-//
-(p13) fmpy.s1 f35 = f35, f56 
-//
-//    Y_lo = x*x/2 
-//
-(p13) br.cond.sptk EXP_MAIN ;; 
-}
-EXP_HUGE: 
-
-{ .mfi
-	nop.m 999
-(p0)  fcmp.gt.unc.s1 p14, p0 =  f9, f0 
-	nop.i 999
-}
-
-{ .mlx
-	nop.m 999
-(p0)  movl r39 = 0x15DC0 ;; 
-}
-
-{ .mfi
-(p14) setf.exp f34 = r39 
-(p14) mov f35 = f1 
-(p14) cmp.eq  p0, p15 =  r0, r0 ;; 
+      nop.m           0
+      fma.s1          fS   = fS1,fS2,f0
+(p14) br.cond.spnt    EXPM1_POSSIBLE_OVERFLOW
 }
+;;
 
 { .mfb
-	nop.m 999
-(p14) mov f36 = f34 
-//
-//    If x > 0, Set Safe = False
-//    If x > 0, Y_hi = 2**(24,000)
-//    If x > 0, Y_lo = 1.0
-//    If x > 0, Scale = 2**(24,000)
-//
-(p14) br.cond.sptk EXP_MAIN ;; 
-}
-
-{ .mlx
-	nop.m 999
-(p12) movl r39 = 0xA240 
-}
-
-{ .mlx
-	nop.m 999
-(p12) movl r38 = 0xA1DC ;; 
-}
-
-{ .mmb
-(p13) cmp.eq  p15, p14 =  r0, r0 
-(p12) setf.exp f34 = r39 
-	nop.b 999 ;;
-}
-
-{ .mlx
-(p12) setf.exp f35 = r38 
-(p13) movl r39 = 0xFF9C 
+      nop.m           0
+      fma.d.s0        f8 = fS, fP, fSm1
+      br.ret.sptk     b0                // Normal path exit
 }
+;;
 
-{ .mfi
-	nop.m 999
-(p13) fsub.s1 f34 = f0, f1
-	nop.i 999 ;;
+// Here if 2^-60 <= |x| <2^-2
+// Compute 13th order polynomial
+EXPM1_SMALL:
+{ .mmf
+      ldfe            fQ3 = [rAD_Q1], 16
+      ldfe            fQ2 = [rAD_Q2], 16
+      fma.s1          fX4 = fXsq, fXsq, f0
 }
+;;
 
 { .mfi
-	nop.m 999
-(p12) mov f36 = f34 
-(p12) cmp.eq  p0, p15 =  r0, r0 ;; 
+      nop.m           0
+      fma.s1          fQDC = fQD, fNormX, fQC
+      nop.i           0
 }
-
 { .mfi
-(p13) setf.exp f35 = r39 
-(p13) mov f36 = f1 
-	nop.i 999 ;;
+      nop.m           0
+      fma.s1          fQBA = fQB, fNormX, fQA
+      nop.i           0
 }
-EXP_MAIN: 
+;;
 
 { .mfi
-(p0)  cmp.ne.unc p12, p0 = 0x01, r33
-(p0)  fmpy.s1 f101 = f36, f35 
-	nop.i 999 ;;
+      nop.m           0
+      fma.s1          fQ98 = fQ9, fNormX, fQ8
+      nop.i           0
 }
-
-{ .mfb
-	nop.m 999
-(p0)  fma.d.s0 f99 = f34, f36, f101 
-(p15)  br.cond.sptk EXP_64_RETURN;;
-}
-
 { .mfi
-	nop.m 999
-(p0)  fsetc.s3 0x7F,0x01
-	nop.i 999
-}
-
-{ .mlx
-	nop.m 999
-(p0)  movl r50 = 0x000000000103FF ;;
-}
-//    
-//    S0 user supplied status
-//    S2 user supplied status + WRE + TD  (Overflows) 
-//    S3 user supplied status + RZ + TD   (Underflows) 
-//    
-//    
-//    If (Safe) is true, then
-//        Compute result using user supplied status field.
-//        No overflow or underflow here, but perhaps inexact.
-//        Return
-//    Else
-//       Determine if overflow or underflow  was raised.
-//       Fetch +/- overflow threshold for IEEE single, double,
-//       double extended   
-//    
-
-{ .mfi
-(p0)  setf.exp f60 = r50
-(p0)  fma.d.s3 f102 = f34, f36, f101 
-	nop.i 999
+      nop.m           0
+      fma.s1          fQ76= fQ7, fNormX, fQ6
+      nop.i           0
 }
+;;
 
 { .mfi
-	nop.m 999
-(p0)  fsetc.s3 0x7F,0x40 
-	nop.i 999 ;;
+      nop.m           0
+      fma.s1          fQ54 = fQ5, fNormX, fQ4
+      nop.i           0
 }
+;;
 
 { .mfi
-	nop.m 999
-//
-//    For Safe, no need to check for over/under. 
-//    For expm1, handle errors like exp. 
-//
-(p0)  fsetc.s2 0x7F,0x42
-	nop.i 999;;
+      nop.m           0
+      fma.s1          fX6 = fX4, fXsq, f0
+      nop.i           0
 }
-
 { .mfi
-	nop.m 999
-(p0)  fma.d.s2 f100 = f34, f36, f101 
-	nop.i 999 ;;
+      nop.m           0
+      fma.s1          fQ32= fQ3, fNormX, fQ2
+      nop.i           0
 }
+;;
 
 { .mfi
-	nop.m 999
-(p0)  fsetc.s2 0x7F,0x40 
-	nop.i 999 ;;
+      nop.m           0
+      fma.s1          fQDCBA = fQDC, fXsq, fQBA
+      nop.i           0
 }
-
 { .mfi
-	nop.m 999
-(p7)  fclass.m.unc   p12, p0 =  f102, 0x00F
-	nop.i 999
+      nop.m           0
+      fma.s1          fQ7654 = fQ76, fXsq, fQ54
+      nop.i           0
 }
+;;
 
 { .mfi
-	nop.m 999
-(p0)  fclass.m.unc   p11, p0 =  f102, 0x00F
-	nop.i 999 ;;
+      nop.m           0
+      fma.s1          fQDCBA98 = fQDCBA, fXsq, fQ98
+      nop.i           0
 }
-
 { .mfi
-	nop.m 999
-(p7)  fcmp.ge.unc.s1 p10, p0 =  f100, f60
-	nop.i 999
+      nop.m           0
+      fma.s1          fQ765432 = fQ7654, fXsq, fQ32
+      nop.i           0
 }
+;;
 
 { .mfi
-	nop.m 999
-//    
-//    Create largest double exponent + 1.
-//    Create smallest double exponent - 1.
-//    
-(p0)  fcmp.ge.unc.s1 p8, p0 =  f100, f60
-	nop.i 999 ;;
-}
-//    
-//    fcmp:   resultS2 >= + overflow threshold  -> set (a) if true
-//    fcmp:   resultS2 <= - overflow threshold  -> set (b) if true
-//    fclass: resultS3 is denorm/unorm/0        -> set (d) if true
-//    
-
-{ .mib
-(p10) mov   r65 = 41
-	nop.i 999
-(p10) br.cond.sptk __libm_error_region ;;
-}
-
-{ .mib
-(p8)  mov   r65 = 14
-	nop.i 999
-(p8)  br.cond.sptk __libm_error_region ;;
+      nop.m           0
+      fma.s1          fQDCBA98765432 = fQDCBA98, fX6, fQ765432
+      nop.i           0
 }
-//    
-//    Report that exp overflowed
-//    
+;;
 
-{ .mib
-(p12) mov   r65 = 42
-	nop.i 999
-(p12) br.cond.sptk __libm_error_region ;;
+{ .mfb
+      nop.m           0
+      fma.d.s0        f8 = fQDCBA98765432, fXsq, fNormX
+      br.ret.sptk     b0                   // Exit small branch
 }
+;;
 
-{ .mib
-(p11) mov   r65 = 15
-	nop.i 999
-(p11) br.cond.sptk __libm_error_region ;;
-}
 
-{ .mib
-	nop.m 999
-	nop.i 999
-//    
-//    Report that exp underflowed
-//    
-(p0)  br.cond.sptk EXP_64_RETURN;;
-}
-EXP_64_SPECIAL: 
+EXPM1_POSSIBLE_OVERFLOW:
 
-{ .mfi
-	nop.m 999
-(p0)  fclass.m.unc p6,  p0 =  f8, 0x0c3 
-	nop.i 999
-}
+// Here if fMAX_DBL_NORM_ARG < x < fMIN_DBL_OFLOW_ARG
+// This cannot happen if input is a double, only if input higher precision.
+// Overflow is a possibility, not a certainty.
 
-{ .mfi
-	nop.m 999
-(p0)  fclass.m.unc p13, p8 =  f8, 0x007 
-	nop.i 999 ;;
-}
-
-{ .mfi
-	nop.m 999
-(p7)  fclass.m.unc p14, p0 =  f8, 0x007 
-	nop.i 999
-}
+// Recompute result using status field 2 with user's rounding mode,
+// and wre set.  If result is larger than largest double, then we have
+// overflow
 
 { .mfi
-	nop.m 999
-(p0)  fclass.m.unc p12, p9 =  f8, 0x021 
-	nop.i 999 ;;
+      mov             rGt_ln  = 0x103ff // Exponent for largest dbl + 1 ulp
+      fsetc.s2        0x7F,0x42         // Get user's round mode, set wre
+      nop.i           0
 }
+;;
 
 { .mfi
-	nop.m 999
-(p0)  fclass.m.unc p11, p0 =  f8, 0x022 
-	nop.i 999
+      setf.exp        fGt_pln = rGt_ln  // Create largest double + 1 ulp
+      fma.d.s2        fWre_urm_f8 = fS, fP, fSm1  // Result with wre set
+      nop.i           0
 }
+;;
 
 { .mfi
-	nop.m 999
-(p7)  fclass.m.unc p10, p0 =  f8, 0x022 
-	nop.i 999 ;;
+      nop.m           0
+      fsetc.s2        0x7F,0x40                   // Turn off wre in sf2
+      nop.i           0
 }
+;;
 
 { .mfi
-	nop.m 999
-//    
-//    Identify +/- 0, Inf, or -Inf 
-//    Generate the right kind of NaN.
-//    
-(p13) fadd.d.s0 f99 = f0, f1 
-	nop.i 999 ;;
+      nop.m           0
+      fcmp.ge.s1      p6, p0 =  fWre_urm_f8, fGt_pln // Test for overflow
+      nop.i           0
 }
+;;
 
-{ .mfi
-	nop.m 999
-(p14) mov f99 = f8 
-	nop.i 999 ;;
+{ .mfb
+      nop.m           0
+      nop.f           0
+(p6)  br.cond.spnt    EXPM1_CERTAIN_OVERFLOW // Branch if overflow
 }
+;;
 
 { .mfb
-	nop.m 999
-(p6)  fadd.d.s0 f99 = f8, f1 
-//    
-//    exp(+/-0) = 1 
-//    expm1(+/-0) = +/-0 
-//    No exceptions raised
-//    
-(p6)  br.cond.sptk EXP_64_RETURN;;
+      nop.m           0
+      fma.d.s0        f8 = fS, fP, fSm1
+      br.ret.sptk     b0                     // Exit if really no overflow
 }
+;;
 
-{ .mib
-	nop.m 999
-	nop.i 999
-(p14)  br.cond.sptk EXP_64_RETURN;;
+EXPM1_CERTAIN_OVERFLOW:
+{ .mmi
+      sub             rTmp = rExp_mask, r0, 1
+;;
+      setf.exp        fTmp = rTmp
+      nop.i           0
 }
+;;
 
 { .mfi
-	nop.m 999
-(p11) mov f99 = f0 
-	nop.i 999 ;;
+      alloc           r32=ar.pfs,1,4,4,0
+      fmerge.s        FR_X = f8,f8
+      nop.i           0
 }
-
 { .mfb
-	nop.m 999
-(p10) fsub.d.s1 f99 = f0, f1 
-//    
-//    exp(-Inf) = 0 
-//    expm1(-Inf) = -1 
-//    No exceptions raised.
-//    
-(p10)  br.cond.sptk EXP_64_RETURN;;
+      mov             GR_Parameter_TAG = 41
+      fma.d.s0        FR_RESULT = fTmp, fTmp, f0    // Set I,O and +INF result
+      br.cond.sptk    __libm_error_region
 }
+;;
 
+// Here if x unorm
+EXPM1_UNORM:
 { .mfb
-	nop.m 999
-(p12) fmpy.d.s1 f99 = f8, f1 
-//    
-//    exp(+Inf) = Inf 
-//    No exceptions raised.
-//    
-(p0)  br.cond.sptk EXP_64_RETURN;;
+      getf.exp        rSignexp_x = fNormX    // Must recompute if x unorm
+      fcmp.eq.s0      p6, p0 = f8, f0        // Set D flag
+      br.cond.sptk    EXPM1_COMMON
 }
+;;
 
-
-EXP_64_UNSUPPORTED: 
-
-{ .mfb
-       nop.m 999
-(p0)  fmpy.d.s0 f99 = f8, f0 
-      nop.b 0;;
+// here if result will be -1 and inexact, x <= -48.0
+EXPM1_CERTAIN_MINUS_ONE:
+{ .mmi
+      mov             rTmp = 1
+;;
+      setf.exp        fTmp = rTmp
+      nop.i           0
 }
+;;
 
-EXP_64_RETURN:
 { .mfb
-      nop.m 999
-(p0)  mov   f8     = f99
-(p0)  br.ret.sptk   b0
+      nop.m           0
+      fms.d.s0        FR_RESULT = fTmp, fTmp, f1 // Set I, rounded -1+eps result
+      br.ret.sptk     b0
 }
-.endp expm1
-ASM_SIZE_DIRECTIVE(expm1)
+;;
 
-.proc __libm_error_region
-__libm_error_region:
+GLOBAL_IEEE754_END(expm1)
+
+LOCAL_LIBM_ENTRY(__libm_error_region)
 .prologue
-// (1)
 { .mfi
         add   GR_Parameter_Y=-32,sp             // Parameter 2 value
         nop.f 0
@@ -1716,38 +841,32 @@ __libm_error_region:
 }
 { .mfi
 .fframe 64
-        add sp=-64,sp                          // Create new stack
+        add sp=-64,sp                           // Create new stack
         nop.f 0
-        mov GR_SAVE_GP=gp                      // Save gp
+        mov GR_SAVE_GP=gp                       // Save gp
 };;
-
-// (2)
 { .mmi
         stfd [GR_Parameter_Y] = FR_Y,16         // STORE Parameter 2 on stack
-        add GR_Parameter_X = 16,sp            // Parameter 1 address
+        add GR_Parameter_X = 16,sp              // Parameter 1 address
 .save   b0, GR_SAVE_B0
-        mov GR_SAVE_B0=b0                     // Save b0
+        mov GR_SAVE_B0=b0                       // Save b0
 };;
-
 .body
-// (3)
 { .mib
-        stfd [GR_Parameter_X] = FR_X                    // STORE Parameter 1 on stack
+        stfd [GR_Parameter_X] = FR_X            // STORE Parameter 1 on stack
         add   GR_Parameter_RESULT = 0,GR_Parameter_Y  // Parameter 3 address
-        nop.b 0                                 
+	nop.b 0
 }
 { .mib
-        stfd [GR_Parameter_Y] = FR_RESULT                   // STORE Parameter 3 on stack
+        stfd [GR_Parameter_Y] = FR_RESULT       // STORE Parameter 3 on stack
         add   GR_Parameter_Y = -16,GR_Parameter_Y
-        br.call.sptk b0=__libm_error_support#         // Call error handling function
+        br.call.sptk b0=__libm_error_support#   // Call error handling function
 };;
 { .mmi
-        nop.m 0
-        nop.m 0
         add   GR_Parameter_RESULT = 48,sp
+        nop.m 0
+        nop.i 0
 };;
-
-// (4)
 { .mmi
         ldfd  f8 = [GR_Parameter_RESULT]       // Get return result off stack
 .restore sp
@@ -1760,9 +879,6 @@ __libm_error_region:
         br.ret.sptk     b0                     // Return
 };;
 
-.endp __libm_error_region
-ASM_SIZE_DIRECTIVE(__libm_error_region)
-
-
+LOCAL_LIBM_END(__libm_error_region)
 .type   __libm_error_support#,@function
 .global __libm_error_support#
diff --git a/sysdeps/ia64/fpu/s_expm1f.S b/sysdeps/ia64/fpu/s_expm1f.S
index cc2c537ba2..0c5f2e67a8 100644
--- a/sysdeps/ia64/fpu/s_expm1f.S
+++ b/sysdeps/ia64/fpu/s_expm1f.S
@@ -1,10 +1,10 @@
-.file "exp_m1f.s"
+.file "expf_m1.s"
 
-// Copyright (C) 2000, 2001, Intel Corporation
+
+// Copyright (c) 2000 - 2002, Intel Corporation
 // All rights reserved.
-// 
-// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story,
-// and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
 //
 // Redistribution and use in source and binary forms, with or without
 // modification, are permitted provided that the following conditions are
@@ -20,1735 +20,649 @@
 // * The name of Intel Corporation may not be used to endorse or promote
 // products derived from this software without specific prior written
 // permission.
-//
-// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
-// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
-// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS 
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
 // CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
-// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, 
-// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 
-// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY 
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
 // OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
-// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 
-// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 
-// 
-// Intel Corporation is the author of this code, and requests that all
-// problem reports or change requests be submitted to it directly at 
-// http://developer.intel.com/opensource.
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
 //
-// HISTORY
-// 2/02/00  Initial Version
-// 4/04/00  Unwind support added
-// 8/15/00  Bundle added after call to __libm_error_support to properly
+// Intel Corporation is the author of this code, and requests that all
+// problem reports or change requests be submitted to it directly at
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
+
+// History
+//*********************************************************************
+// 02/02/00 Initial Version
+// 04/04/00 Unwind support added
+// 08/15/00 Bundle added after call to __libm_error_support to properly
 //          set [the previously overwritten] GR_Parameter_RESULT.
+// 07/07/01 Improved speed of all paths
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 11/20/02 Improved speed, algorithm based on expf
 //
-// ********************************************************************* 
-//
-// Function:   Combined expf(x) and expm1f(x), where
-//                        x 
-//             expf(x) = e , for single precision x values
-//                          x
-//             expm1f(x) = e  - 1  for single precision x values
-//
-// ********************************************************************* 
-//
-// Accuracy:       Within .7 ulps for 80-bit floating point values
-//                 Very accurate for single precision values
-//
-// ********************************************************************* 
-//
-// Resources Used:
-//
-//    Floating-Point Registers: f8  (Input and Return Value) 
-//                              f9,f32-f61, f99-f102 
-//
-//    General Purpose Registers: 
-//      r32-r61
-//      r62-r65 (Used to pass arguments to error handling routine)
-//                                     
-//    Predicate Registers:      p6-p15
-//
-// ********************************************************************* 
-//
-// IEEE Special Conditions:
-//
-//    Denormal  fault raised on denormal inputs  
-//    Overflow exceptions raised when appropriate for exp and expm1
-//    Underflow exceptions raised when appropriate for exp and expm1
-//    (Error Handling Routine called for overflow and Underflow)
-//    Inexact raised when appropriate by algorithm 
-//
-//    expf(inf) = inf
-//    expf(-inf) = +0
-//    expf(SNaN) = QNaN
-//    expf(QNaN) = QNaN
-//    expf(0) = 1
-//    expf(EM_special Values) = QNaN
-//    expf(inf) = inf
-//    expm1f(-inf) = -1 
-//    expm1f(SNaN) = QNaN
-//    expm1f(QNaN) = QNaN
-//    expm1f(0) = 0
-//    expm1f(EM_special Values) = QNaN
-//    
-// ********************************************************************* 
-//
-// Implementation and Algorithm Notes:
-//
-//  ker_exp_64( in_FR  : X,
-//            in_GR  : Flag,
-//            in_GR  : Expo_Range
-//            out_FR : Y_hi,
-//            out_FR : Y_lo,
-//            out_FR : scale,
-//            out_PR : Safe )
-//
-// On input, X is in register format and 
-// Flag  = 0 for exp,
-// Flag  = 1 for expm1,
-//
-// On output, provided X and X_cor are real numbers, then
-//
-//   scale*(Y_hi + Y_lo)  approximates  expf(X)       if Flag is 0
-//   scale*(Y_hi + Y_lo)  approximates  expf(X)-1     if Flag is 1
-//
-// The accuracy is sufficient for a highly accurate 64 sig.
-// bit implementation.  Safe is set if there is no danger of 
-// overflow/underflow when the result is composed from scale, 
-// Y_hi and Y_lo. Thus, we can have a fast return if Safe is set. 
-// Otherwise, one must prepare to handle the possible exception 
-// appropriately.  Note that SAFE not set (false) does not mean 
-// that overflow/underflow will occur; only the setting of SAFE
-// guarantees the opposite.
-//
-// **** High Level Overview **** 
-//
-// The method consists of three cases.
-// 
-// If           |X| < Tiny	use case exp_tiny;
-// else if	|X| < 2^(-6)	use case exp_small;
-// else		use case exp_regular;
-//
-// Case exp_tiny:
-//
-//   1 + X     can be used to approximate expf(X) or expf(X+X_cor);
-//   X + X^2/2 can be used to approximate expf(X) - 1
-//
-// Case exp_small:
-//
-//   Here, expf(X), expf(X+X_cor), and expf(X) - 1 can all be 
-//   appproximated by a relatively simple polynomial.
-//
-//   This polynomial resembles the truncated Taylor series
-//
-//	expf(w) = 1 + w + w^2/2! + w^3/3! + ... + w^n/n!
-//
-// Case exp_regular:
-//
-//   Here we use a table lookup method. The basic idea is that in
-//   order to compute expf(X), we accurately decompose X into
-//
-//   X = N * log(2)/(2^12)  + r,	|r| <= log(2)/2^13.
-//
-//   Hence
-//
-//   expf(X) = 2^( N / 2^12 ) * expf(r).
-//
-//   The value 2^( N / 2^12 ) is obtained by simple combinations
-//   of values calculated beforehand and stored in table; expf(r)
-//   is approximated by a short polynomial because |r| is small.
-//
-//   We elaborate this method in 4 steps.
-//
-//   Step 1: Reduction
-//
-//   The value 2^12/log(2) is stored as a double-extended number
-//   L_Inv.
-//
-//   N := round_to_nearest_integer( X * L_Inv )
-//
-//   The value log(2)/2^12 is stored as two numbers L_hi and L_lo so
-//   that r can be computed accurately via
-//
-//   r := (X - N*L_hi) - N*L_lo
-//
-//   We pick L_hi such that N*L_hi is representable in 64 sig. bits
-//   and thus the FMA   X - N*L_hi   is error free. So r is the 
-//   1 rounding error from an exact reduction with respect to 
-//   
-//   L_hi + L_lo.
-//
-//   In particular, L_hi has 30 significant bit and can be stored
-//   as a double-precision number; L_lo has 64 significant bits and
-//   stored as a double-extended number.
-//
-//   In the case Flag = 2, we further modify r by
-//
-//   r := r + X_cor.
-//
-//   Step 2: Approximation
-//
-//   expf(r) - 1 is approximated by a short polynomial of the form
-//   
-//   r + A_1 r^2 + A_2 r^3 + A_3 r^4 .
-//
-//   Step 3: Composition from Table Values 
-//
-//   The value 2^( N / 2^12 ) can be composed from a couple of tables
-//   of precalculated values. First, express N as three integers
-//   K, M_1, and M_2 as
-//
-//     N  =  K * 2^12  + M_1 * 2^6 + M_2
-//
-//   Where 0 <= M_1, M_2 < 2^6; and K can be positive or negative.
-//   When N is represented in 2's complement, M_2 is simply the 6
-//   lsb's, M_1 is the next 6, and K is simply N shifted right
-//   arithmetically (sign extended) by 12 bits.
-//
-//   Now, 2^( N / 2^12 ) is simply  
-//	
-//      2^K * 2^( M_1 / 2^6 ) * 2^( M_2 / 2^12 )
-//
-//   Clearly, 2^K needs no tabulation. The other two values are less
-//   trivial because if we store each accurately to more than working
-//   precision, than its product is too expensive to calculate. We
-//   use the following method.
-//
-//   Define two mathematical values, delta_1 and delta_2, implicitly
-//   such that
-//
-//     T_1 = expf( [M_1 log(2)/2^6]  -  delta_1 ) 
-//     T_2 = expf( [M_2 log(2)/2^12] -  delta_2 )
-//
-//   are representable as 24 significant bits. To illustrate the idea,
-//   we show how we define delta_1: 
-//
-//     T_1     := round_to_24_bits( expf( M_1 log(2)/2^6 ) )
-//     delta_1  = (M_1 log(2)/2^6) - log( T_1 )  
-//
-//   The last equality means mathematical equality. We then tabulate
-//
-//     W_1 := expf(delta_1) - 1
-//     W_2 := expf(delta_2) - 1
-//
-//   Both in double precision.
-//
-//   From the tabulated values T_1, T_2, W_1, W_2, we compose the values
-//   T and W via
-//
-//     T := T_1 * T_2			...exactly
-//     W := W_1 + (1 + W_1)*W_2	
-//
-//   W approximates expf( delta ) - 1  where delta = delta_1 + delta_2.
-//   The mathematical product of T and (W+1) is an accurate representation
-//   of 2^(M_1/2^6) * 2^(M_2/2^12).
-//
-//   Step 4. Reconstruction
-//
-//   Finally, we can reconstruct expf(X), expf(X) - 1. 
-//   Because
-//
-//	X = K * log(2) + (M_1*log(2)/2^6  - delta_1) 
-//		       + (M_2*log(2)/2^12 - delta_2)
-//		       + delta_1 + delta_2 + r 		...accurately
-//   We have
-//
-//	expf(X) ~=~ 2^K * ( T + T*[expf(delta_1+delta_2+r) - 1] )
-//	       ~=~ 2^K * ( T + T*[expf(delta + r) - 1]         )
-//	       ~=~ 2^K * ( T + T*[(expf(delta)-1)  
-//				 + expf(delta)*(expf(r)-1)]   )
-//             ~=~ 2^K * ( T + T*( W + (1+W)*poly(r) ) )
-//             ~=~ 2^K * ( Y_hi  +  Y_lo )
-//
-//   where Y_hi = T  and Y_lo = T*(W + (1+W)*poly(r))
-//
-//   For expf(X)-1, we have
-//
-//	expf(X)-1 ~=~ 2^K * ( Y_hi + Y_lo ) - 1
-//		 ~=~ 2^K * ( Y_hi + Y_lo - 2^(-K) )
-//
-//   and we combine Y_hi + Y_lo - 2^(-N)  into the form of two 
-//   numbers  Y_hi + Y_lo carefully.
-//
-//   **** Algorithm Details ****
-//
-//   A careful algorithm must be used to realize the mathematical ideas
-//   accurately. We describe each of the three cases. We assume SAFE
-//   is preset to be TRUE.
-//
-//   Case exp_tiny:
-//
-//   The important points are to ensure an accurate result under 
-//   different rounding directions and a correct setting of the SAFE 
-//   flag.
-//
-//   If Flag is 1, then
-//      SAFE  := False	...possibility of underflow
-//      Scale := 1.0
-//      Y_hi  := X
-//      Y_lo  := 2^(-17000)
-//   Else
-//      Scale := 1.0
-//      Y_hi  := 1.0
-//      Y_lo  := X	...for different rounding modes
-//   Endif
-//
-//   Case exp_small:
-//
-//   Here we compute a simple polynomial. To exploit parallelism, we split
-//   the polynomial into several portions.
-//
-//   Let r = X 
-//
-//   If Flag is not 1	...i.e. expf( argument )
-//
-//      rsq := r * r; 
-//      r4  := rsq*rsq
-//      poly_lo := P_3 + r*(P_4 + r*(P_5 + r*P_6))
-//      poly_hi := r + rsq*(P_1 + r*P_2)
-//      Y_lo    := poly_hi + r4 * poly_lo
-//      set lsb(Y_lo) to 1
-//      Y_hi    := 1.0
-//      Scale   := 1.0
-//
-//   Else			...i.e. expf( argument ) - 1
-//
-//      rsq := r * r
-//      r4  := rsq * rsq
-//      r6  := rsq * r4
-//      poly_lo := r6*(Q_5 + r*(Q_6 + r*Q_7))
-//      poly_hi := Q_1 + r*(Q_2 + r*(Q_3 + r*Q_4))
-//      Y_lo    := rsq*poly_hi +  poly_lo
-//      set lsb(Y_lo) to 1
-//      Y_hi    := X
-//      Scale   := 1.0
-//
-//   Endif
-//
-//  Case exp_regular:
-//
-//  The previous description contain enough information except the
-//  computation of poly and the final Y_hi and Y_lo in the case for
-//  expf(X)-1.
-//
-//  The computation of poly for Step 2:
-//
-//   rsq := r*r
-//   poly := r + rsq*(A_1 + r*(A_2 + r*A_3))
-//
-//  For the case expf(X) - 1, we need to incorporate 2^(-K) into
-//  Y_hi and Y_lo at the end of Step 4.
-//
-//   If K > 10 then
-//      Y_lo := Y_lo - 2^(-K)
-//   Else
-//      If K < -10 then
-//	 Y_lo := Y_hi + Y_lo
-//	 Y_hi := -2^(-K)
-//      Else
-//	 Y_hi := Y_hi - 2^(-K)
-//      End If
-//   End If
 //
+// API
+//*********************************************************************
+// float expm1f(float)
+//
+// Overview of operation
+//*********************************************************************
+// 1. Inputs of Nan, Inf, Zero, NatVal handled with special paths
+//
+// 2. |x| < 2^-40
+//    Result = x, computed by x + x*x to handle appropriate flags and rounding
+//
+// 3. 2^-40 <= |x| < 2^-2
+//    Result determined by 8th order Taylor series polynomial
+//    expm1f(x) = x + A2*x^2 + ... + A8*x^8
+//
+// 4. x < -24.0
+//    Here we know result is essentially -1 + eps, where eps only affects
+//    rounded result.  Set I.
+//
+// 5. x >= 88.7228 
+//    Result overflows.  Set I, O, and call error support
+//
+// 6. 2^-2 <= x < 88.7228  or  -24.0 <= x < -2^-2  
+//    This is the main path.  The algorithm is described below:
+
+// Take the input x. w is "how many log2/128 in x?"
+//  w = x * 64/log2
+//  NJ = int(w)
+//  x = NJ*log2/64 + R
+
+//  NJ = 64*n + j
+//  x = n*log2 + (log2/64)*j + R
+//
+//  So, exp(x) = 2^n * 2^(j/64)* exp(R)
+//
+//  T =  2^n * 2^(j/64)
+//       Construct 2^n
+//       Get 2^(j/64) table
+//           actually all the entries of 2^(j/64) table are stored in DP and
+//           with exponent bits set to 0 -> multiplication on 2^n can be
+//           performed by doing logical "or" operation with bits presenting 2^n
+
+//  exp(R) = 1 + (exp(R) - 1)
+//  P = exp(R) - 1 approximated by Taylor series of 3rd degree
+//      P = A3*R^3 + A2*R^2 + R, A3 = 1/6, A2 = 1/2
+//
+
+//  The final result is reconstructed as follows
+//  expm1f(x) = T*P + (T - 1.0)
+
+// Special values
+//*********************************************************************
+// expm1f(+0)    = +0.0
+// expm1f(-0)    = -0.0
+
+// expm1f(+qnan) = +qnan
+// expm1f(-qnan) = -qnan
+// expm1f(+snan) = +qnan
+// expm1f(-snan) = -qnan
+
+// expm1f(-inf)  = -1.0
+// expm1f(+inf)  = +inf
+
+// Overflow and Underflow
+//*********************************************************************
+// expm1f(x) = largest single normal when
+//     x = 88.7228 = 0x42b17217
+//
+// Underflow is handled as described in case 2 above.
+
+
+// Registers used
+//*********************************************************************
+// Floating Point registers used:
+// f8, input
+// f6,f7, f9 -> f15,  f32 -> f45
+
+// General registers used:
+// r3, r20 -> r38
+
+// Predicate registers used:
+// p9 -> p15
+
+// Assembly macros
+//*********************************************************************
+// integer registers used
+// scratch
+rNJ                   = r3
+
+rExp_half             = r20
+rSignexp_x            = r21
+rExp_x                = r22
+rExp_mask             = r23
+rExp_bias             = r24
+rTmp                  = r25
+rM1_lim               = r25
+rGt_ln                = r25
+rJ                    = r26
+rN                    = r27
+rTblAddr              = r28
+rLn2Div64             = r29
+rRightShifter         = r30
+r64DivLn2             = r31
+// stacked
+GR_SAVE_PFS           = r32
+GR_SAVE_B0            = r33
+GR_SAVE_GP            = r34
+GR_Parameter_X        = r35
+GR_Parameter_Y        = r36
+GR_Parameter_RESULT   = r37
+GR_Parameter_TAG      = r38
+
+// floating point registers used
+FR_X                  = f10
+FR_Y                  = f1
+FR_RESULT             = f8
+// scratch
+fRightShifter         = f6
+f64DivLn2             = f7
+fNormX                = f9
+fNint                 = f10
+fN                    = f11
+fR                    = f12
+fLn2Div64             = f13
+fA2                   = f14
+fA3                   = f15
+// stacked
+fP                    = f32
+fX3                   = f33
+fT                    = f34
+fMIN_SGL_OFLOW_ARG    = f35
+fMAX_SGL_NORM_ARG     = f36
+fMAX_SGL_MINUS_1_ARG  = f37
+fA4                   = f38
+fA43                  = f38
+fA432                 = f38
+fRSqr                 = f39
+fA5                   = f40
+fTmp                  = f41
+fGt_pln               = f41
+fXsq                  = f41
+fA7                   = f42
+fA6                   = f43
+fA65                  = f43
+fTm1                  = f44
+fA8                   = f45
+fA87                  = f45
+fA8765                = f45
+fA8765432             = f45
+fWre_urm_f8           = f45
+
+RODATA
+.align 16
+LOCAL_OBJECT_START(_expf_table)
+data8 0x3efa01a01a01a01a // A8 = 1/8!
+data8 0x3f2a01a01a01a01a // A7 = 1/7!
+data8 0x3f56c16c16c16c17 // A6 = 1/6!
+data8 0x3f81111111111111 // A5 = 1/5!
+data8 0x3fa5555555555555 // A4 = 1/4!
+data8 0x3fc5555555555555 // A3 = 1/3!
+//
+data4 0x42b17218         // Smallest sgl arg to overflow sgl result
+data4 0x42b17217         // Largest sgl arg to give sgl result
+//
+// 2^(j/64) table, j goes from 0 to 63
+data8 0x0000000000000000 // 2^(0/64)
+data8 0x00002C9A3E778061 // 2^(1/64)
+data8 0x000059B0D3158574 // 2^(2/64)
+data8 0x0000874518759BC8 // 2^(3/64)
+data8 0x0000B5586CF9890F // 2^(4/64)
+data8 0x0000E3EC32D3D1A2 // 2^(5/64)
+data8 0x00011301D0125B51 // 2^(6/64)
+data8 0x0001429AAEA92DE0 // 2^(7/64)
+data8 0x000172B83C7D517B // 2^(8/64)
+data8 0x0001A35BEB6FCB75 // 2^(9/64)
+data8 0x0001D4873168B9AA // 2^(10/64)
+data8 0x0002063B88628CD6 // 2^(11/64)
+data8 0x0002387A6E756238 // 2^(12/64)
+data8 0x00026B4565E27CDD // 2^(13/64)
+data8 0x00029E9DF51FDEE1 // 2^(14/64)
+data8 0x0002D285A6E4030B // 2^(15/64)
+data8 0x000306FE0A31B715 // 2^(16/64)
+data8 0x00033C08B26416FF // 2^(17/64)
+data8 0x000371A7373AA9CB // 2^(18/64)
+data8 0x0003A7DB34E59FF7 // 2^(19/64)
+data8 0x0003DEA64C123422 // 2^(20/64)
+data8 0x0004160A21F72E2A // 2^(21/64)
+data8 0x00044E086061892D // 2^(22/64)
+data8 0x000486A2B5C13CD0 // 2^(23/64)
+data8 0x0004BFDAD5362A27 // 2^(24/64)
+data8 0x0004F9B2769D2CA7 // 2^(25/64)
+data8 0x0005342B569D4F82 // 2^(26/64)
+data8 0x00056F4736B527DA // 2^(27/64)
+data8 0x0005AB07DD485429 // 2^(28/64)
+data8 0x0005E76F15AD2148 // 2^(29/64)
+data8 0x0006247EB03A5585 // 2^(30/64)
+data8 0x0006623882552225 // 2^(31/64)
+data8 0x0006A09E667F3BCD // 2^(32/64)
+data8 0x0006DFB23C651A2F // 2^(33/64)
+data8 0x00071F75E8EC5F74 // 2^(34/64)
+data8 0x00075FEB564267C9 // 2^(35/64)
+data8 0x0007A11473EB0187 // 2^(36/64)
+data8 0x0007E2F336CF4E62 // 2^(37/64)
+data8 0x00082589994CCE13 // 2^(38/64)
+data8 0x000868D99B4492ED // 2^(39/64)
+data8 0x0008ACE5422AA0DB // 2^(40/64)
+data8 0x0008F1AE99157736 // 2^(41/64)
+data8 0x00093737B0CDC5E5 // 2^(42/64)
+data8 0x00097D829FDE4E50 // 2^(43/64)
+data8 0x0009C49182A3F090 // 2^(44/64)
+data8 0x000A0C667B5DE565 // 2^(45/64)
+data8 0x000A5503B23E255D // 2^(46/64)
+data8 0x000A9E6B5579FDBF // 2^(47/64)
+data8 0x000AE89F995AD3AD // 2^(48/64)
+data8 0x000B33A2B84F15FB // 2^(49/64)
+data8 0x000B7F76F2FB5E47 // 2^(50/64)
+data8 0x000BCC1E904BC1D2 // 2^(51/64)
+data8 0x000C199BDD85529C // 2^(52/64)
+data8 0x000C67F12E57D14B // 2^(53/64)
+data8 0x000CB720DCEF9069 // 2^(54/64)
+data8 0x000D072D4A07897C // 2^(55/64)
+data8 0x000D5818DCFBA487 // 2^(56/64)
+data8 0x000DA9E603DB3285 // 2^(57/64)
+data8 0x000DFC97337B9B5F // 2^(58/64)
+data8 0x000E502EE78B3FF6 // 2^(59/64)
+data8 0x000EA4AFA2A490DA // 2^(60/64)
+data8 0x000EFA1BEE615A27 // 2^(61/64)
+data8 0x000F50765B6E4540 // 2^(62/64)
+data8 0x000FA7C1819E90D8 // 2^(63/64)
+LOCAL_OBJECT_END(_expf_table)
 
-#include "libm_support.h"
-
-
-GR_SAVE_B0                    = r60
-GR_SAVE_PFS                   = r59
-GR_SAVE_GP                    = r61 
-
-GR_Parameter_X                = r62
-GR_Parameter_Y                = r63
-GR_Parameter_RESULT           = r64
-GR_Parameter_TAG              = r65
-
-FR_X             = f9
-FR_Y             = f1
-FR_RESULT        = f99
-
-
-#ifdef _LIBC
-.rodata
-#else
-.data
-#endif
-
-.align 64 
-Constants_exp_64_Arg:
-ASM_TYPE_DIRECTIVE(Constants_exp_64_Arg,@object)
-data4 0x5C17F0BC,0xB8AA3B29,0x0000400B,0x00000000 
-data4 0x00000000,0xB17217F4,0x00003FF2,0x00000000
-data4 0xF278ECE6,0xF473DE6A,0x00003FD4,0x00000000
-// /* Inv_L, L_hi, L_lo */
-ASM_SIZE_DIRECTIVE(Constants_exp_64_Arg)
-
-.align 64 
-Constants_exp_64_Exponents:
-ASM_TYPE_DIRECTIVE(Constants_exp_64_Exponents,@object)
-data4 0x0000007E,0x00000000,0xFFFFFF83,0xFFFFFFFF
-data4 0x000003FE,0x00000000,0xFFFFFC03,0xFFFFFFFF
-data4 0x00003FFE,0x00000000,0xFFFFC003,0xFFFFFFFF
-data4 0x00003FFE,0x00000000,0xFFFFC003,0xFFFFFFFF
-data4 0xFFFFFFE2,0xFFFFFFFF,0xFFFFFFC4,0xFFFFFFFF
-data4 0xFFFFFFBA,0xFFFFFFFF,0xFFFFFFBA,0xFFFFFFFF
-ASM_SIZE_DIRECTIVE(Constants_exp_64_Exponents)
-
-.align 64 
-Constants_exp_64_A:
-ASM_TYPE_DIRECTIVE(Constants_exp_64_A,@object)
-data4 0xB1B736A0,0xAAAAAAAB,0x00003FFA,0x00000000
-data4 0x90CD6327,0xAAAAAAAB,0x00003FFC,0x00000000
-data4 0xFFFFFFFF,0xFFFFFFFF,0x00003FFD,0x00000000
-// /* Reversed */
-ASM_SIZE_DIRECTIVE(Constants_exp_64_A)
-
-.align 64 
-Constants_exp_64_P:
-ASM_TYPE_DIRECTIVE(Constants_exp_64_P,@object)
-data4 0x43914A8A,0xD00D6C81,0x00003FF2,0x00000000
-data4 0x30304B30,0xB60BC4AC,0x00003FF5,0x00000000
-data4 0x7474C518,0x88888888,0x00003FF8,0x00000000
-data4 0x8DAE729D,0xAAAAAAAA,0x00003FFA,0x00000000
-data4 0xAAAAAF61,0xAAAAAAAA,0x00003FFC,0x00000000
-data4 0x000004C7,0x80000000,0x00003FFE,0x00000000 
-// /* Reversed */
-ASM_SIZE_DIRECTIVE(Constants_exp_64_P)
-
-.align 64 
-Constants_exp_64_Q:
-ASM_TYPE_DIRECTIVE(Constants_exp_64_Q,@object)
-data4 0xA49EF6CA,0xD00D56F7,0x00003FEF,0x00000000
-data4 0x1C63493D,0xD00D59AB,0x00003FF2,0x00000000
-data4 0xFB50CDD2,0xB60B60B5,0x00003FF5,0x00000000
-data4 0x7BA68DC8,0x88888888,0x00003FF8,0x00000000
-data4 0xAAAAAC8D,0xAAAAAAAA,0x00003FFA,0x00000000
-data4 0xAAAAACCA,0xAAAAAAAA,0x00003FFC,0x00000000
-data4 0x00000000,0x80000000,0x00003FFE,0x00000000 
-// /* Reversed */
-ASM_SIZE_DIRECTIVE(Constants_exp_64_Q)
-
-.align 64 
-Constants_exp_64_T1:
-ASM_TYPE_DIRECTIVE(Constants_exp_64_T1,@object)
-data4 0x3F800000,0x3F8164D2,0x3F82CD87,0x3F843A29 
-data4 0x3F85AAC3,0x3F871F62,0x3F88980F,0x3F8A14D5 
-data4 0x3F8B95C2,0x3F8D1ADF,0x3F8EA43A,0x3F9031DC
-data4 0x3F91C3D3,0x3F935A2B,0x3F94F4F0,0x3F96942D
-data4 0x3F9837F0,0x3F99E046,0x3F9B8D3A,0x3F9D3EDA
-data4 0x3F9EF532,0x3FA0B051,0x3FA27043,0x3FA43516
-data4 0x3FA5FED7,0x3FA7CD94,0x3FA9A15B,0x3FAB7A3A
-data4 0x3FAD583F,0x3FAF3B79,0x3FB123F6,0x3FB311C4
-data4 0x3FB504F3,0x3FB6FD92,0x3FB8FBAF,0x3FBAFF5B
-data4 0x3FBD08A4,0x3FBF179A,0x3FC12C4D,0x3FC346CD
-data4 0x3FC5672A,0x3FC78D75,0x3FC9B9BE,0x3FCBEC15
-data4 0x3FCE248C,0x3FD06334,0x3FD2A81E,0x3FD4F35B
-data4 0x3FD744FD,0x3FD99D16,0x3FDBFBB8,0x3FDE60F5
-data4 0x3FE0CCDF,0x3FE33F89,0x3FE5B907,0x3FE8396A
-data4 0x3FEAC0C7,0x3FED4F30,0x3FEFE4BA,0x3FF28177
-data4 0x3FF5257D,0x3FF7D0DF,0x3FFA83B3,0x3FFD3E0C
-ASM_SIZE_DIRECTIVE(Constants_exp_64_T1)
-
-.align 64 
-Constants_exp_64_T2:
-ASM_TYPE_DIRECTIVE(Constants_exp_64_T2,@object)
-data4 0x3F800000,0x3F80058C,0x3F800B18,0x3F8010A4 
-data4 0x3F801630,0x3F801BBD,0x3F80214A,0x3F8026D7 
-data4 0x3F802C64,0x3F8031F2,0x3F803780,0x3F803D0E 
-data4 0x3F80429C,0x3F80482B,0x3F804DB9,0x3F805349 
-data4 0x3F8058D8,0x3F805E67,0x3F8063F7,0x3F806987 
-data4 0x3F806F17,0x3F8074A8,0x3F807A39,0x3F807FCA 
-data4 0x3F80855B,0x3F808AEC,0x3F80907E,0x3F809610 
-data4 0x3F809BA2,0x3F80A135,0x3F80A6C7,0x3F80AC5A 
-data4 0x3F80B1ED,0x3F80B781,0x3F80BD14,0x3F80C2A8 
-data4 0x3F80C83C,0x3F80CDD1,0x3F80D365,0x3F80D8FA 
-data4 0x3F80DE8F,0x3F80E425,0x3F80E9BA,0x3F80EF50 
-data4 0x3F80F4E6,0x3F80FA7C,0x3F810013,0x3F8105AA 
-data4 0x3F810B41,0x3F8110D8,0x3F81166F,0x3F811C07 
-data4 0x3F81219F,0x3F812737,0x3F812CD0,0x3F813269 
-data4 0x3F813802,0x3F813D9B,0x3F814334,0x3F8148CE 
-data4 0x3F814E68,0x3F815402,0x3F81599C,0x3F815F37
-ASM_SIZE_DIRECTIVE(Constants_exp_64_T2)
-
-.align 64 
-Constants_exp_64_W1:
-ASM_TYPE_DIRECTIVE(Constants_exp_64_W1,@object)
-data4 0x00000000,0x00000000,0x171EC4B4,0xBE384454
-data4 0x4AA72766,0xBE694741,0xD42518F8,0xBE5D32B6
-data4 0x3A319149,0x3E68D96D,0x62415F36,0xBE68F4DA
-data4 0xC9C86A3B,0xBE6DDA2F,0xF49228FE,0x3E6B2E50
-data4 0x1188B886,0xBE49C0C2,0x1A4C2F1F,0x3E64BFC2
-data4 0x2CB98B54,0xBE6A2FBB,0x9A55D329,0x3E5DC5DE
-data4 0x39A7AACE,0x3E696490,0x5C66DBA5,0x3E54728B
-data4 0xBA1C7D7D,0xBE62B0DB,0x09F1AF5F,0x3E576E04
-data4 0x1A0DD6A1,0x3E612500,0x795FBDEF,0xBE66A419
-data4 0xE1BD41FC,0xBE5CDE8C,0xEA54964F,0xBE621376
-data4 0x476E76EE,0x3E6370BE,0x3427EB92,0x3E390D1A 
-data4 0x2BF82BF8,0x3E1336DE,0xD0F7BD9E,0xBE5FF1CB 
-data4 0x0CEB09DD,0xBE60A355,0x0980F30D,0xBE5CA37E 
-data4 0x4C082D25,0xBE5C541B,0x3B467D29,0xBE5BBECA 
-data4 0xB9D946C5,0xBE400D8A,0x07ED374A,0xBE5E2A08 
-data4 0x365C8B0A,0xBE66CB28,0xD3403BCA,0x3E3AAD5B 
-data4 0xC7EA21E0,0x3E526055,0xE72880D6,0xBE442C75 
-data4 0x85222A43,0x3E58B2BB,0x522C42BF,0xBE5AAB79 
-data4 0x469DC2BC,0xBE605CB4,0xA48C40DC,0xBE589FA7 
-data4 0x1AA42614,0xBE51C214,0xC37293F4,0xBE48D087 
-data4 0xA2D673E0,0x3E367A1C,0x114F7A38,0xBE51BEBB 
-data4 0x661A4B48,0xBE6348E5,0x1D3B9962,0xBDF52643  
-data4 0x35A78A53,0x3E3A3B5E,0x1CECD788,0xBE46C46C 
-data4 0x7857D689,0xBE60B7EC,0xD14F1AD7,0xBE594D3D 
-data4 0x4C9A8F60,0xBE4F9C30,0x02DFF9D2,0xBE521873 
-data4 0x55E6D68F,0xBE5E4C88,0x667F3DC4,0xBE62140F 
-data4 0x3BF88747,0xBE36961B,0xC96EC6AA,0x3E602861 
-data4 0xD57FD718,0xBE3B5151,0xFC4A627B,0x3E561CD0 
-data4 0xCA913FEA,0xBE3A5217,0x9A5D193A,0x3E40A3CC 
-data4 0x10A9C312,0xBE5AB713,0xC5F57719,0x3E4FDADB 
-data4 0xDBDF59D5,0x3E361428,0x61B4180D,0x3E5DB5DB 
-data4 0x7408D856,0xBE42AD5F,0x31B2B707,0x3E2A3148 
-ASM_SIZE_DIRECTIVE(Constants_exp_64_W1)
-
-.align 64 
-Constants_exp_64_W2:
-ASM_TYPE_DIRECTIVE(Constants_exp_64_W2,@object)
-data4 0x00000000,0x00000000,0x37A3D7A2,0xBE641F25 
-data4 0xAD028C40,0xBE68DD57,0xF212B1B6,0xBE5C77D8 
-data4 0x1BA5B070,0x3E57878F,0x2ECAE6FE,0xBE55A36A 
-data4 0x569DFA3B,0xBE620608,0xA6D300A3,0xBE53B50E 
-data4 0x223F8F2C,0x3E5B5EF2,0xD6DE0DF4,0xBE56A0D9 
-data4 0xEAE28F51,0xBE64EEF3,0x367EA80B,0xBE5E5AE2 
-data4 0x5FCBC02D,0x3E47CB1A,0x9BDAFEB7,0xBE656BA0 
-data4 0x805AFEE7,0x3E6E70C6,0xA3415EBA,0xBE6E0509 
-data4 0x49BFF529,0xBE56856B,0x00508651,0x3E66DD33 
-data4 0xC114BC13,0x3E51165F,0xC453290F,0x3E53333D 
-data4 0x05539FDA,0x3E6A072B,0x7C0A7696,0xBE47CD87 
-data4 0xEB05C6D9,0xBE668BF4,0x6AE86C93,0xBE67C3E3 
-data4 0xD0B3E84B,0xBE533904,0x556B53CE,0x3E63E8D9 
-data4 0x63A98DC8,0x3E212C89,0x032A7A22,0xBE33138F 
-data4 0xBC584008,0x3E530FA9,0xCCB93C97,0xBE6ADF82 
-data4 0x8370EA39,0x3E5F9113,0xFB6A05D8,0x3E5443A4 
-data4 0x181FEE7A,0x3E63DACD,0xF0F67DEC,0xBE62B29D 
-data4 0x3DDE6307,0x3E65C483,0xD40A24C1,0x3E5BF030  
-data4 0x14E437BE,0x3E658B8F,0xED98B6C7,0xBE631C29 
-data4 0x04CF7C71,0x3E6335D2,0xE954A79D,0x3E529EED 
-data4 0xF64A2FB8,0x3E5D9257,0x854ED06C,0xBE6BED1B 
-data4 0xD71405CB,0x3E5096F6,0xACB9FDF5,0xBE3D4893 
-data4 0x01B68349,0xBDFEB158,0xC6A463B9,0x3E628D35 
-data4 0xADE45917,0xBE559725,0x042FC476,0xBE68C29C 
-data4 0x01E511FA,0xBE67593B,0x398801ED,0xBE4A4313 
-data4 0xDA7C3300,0x3E699571,0x08062A9E,0x3E5349BE 
-data4 0x755BB28E,0x3E5229C4,0x77A1F80D,0x3E67E426 
-data4 0x6B69C352,0xBE52B33F,0x084DA57F,0xBE6B3550 
-data4 0xD1D09A20,0xBE6DB03F,0x2161B2C1,0xBE60CBC4 
-data4 0x78A2B771,0x3E56ED9C,0x9D0FA795,0xBE508E31 
-data4 0xFD1A54E9,0xBE59482A,0xB07FD23E,0xBE2A17CE 
-data4 0x17365712,0x3E68BF5C,0xB3785569,0x3E3956F9
-ASM_SIZE_DIRECTIVE(Constants_exp_64_W2)
 
 .section .text
-.proc expm1f#
-.global expm1f#
-.align 64 
-
-expm1f: 
-#ifdef _LIBC
-.global __expm1f#
-__expm1f:
-#endif
-
+GLOBAL_IEEE754_ENTRY(expm1f)
 
-{ .mii
-      alloc r32 = ar.pfs,0,30,4,0
-(p0)  add r33 = 1, r0  
-(p0)  cmp.eq.unc  p7, p0 =  r0, r0 
-}
-;;
-
-//
-//    Set p7 true for expm1
-//    Set Flag = r33 = 1 for expm1
-//    These are really no longer necesary, but are a remnant
-//       when this file had multiple entry points.
-//       They should be carefully removed
-
-
-{ .mfi
-(p0)  add r32 = 0,r0  
-(p0)  fnorm.s1 f9 = f8 
-	  nop.i 0
-}
-
-{ .mfi
-	  nop.m 0
-//
-//    Set p7 false for exp
-//    Set Flag = r33 = 0 for exp
-//    
-(p0)  fclass.m.unc p6, p8 =  f8, 0x1E7 
-	  nop.i 0 ;;
+{ .mlx
+      getf.exp        rSignexp_x = f8      // Must recompute if x unorm
+      movl            r64DivLn2 = 0x40571547652B82FE // 64/ln(2)
 }
-
-{ .mfi
-	nop.m 999
-(p0)  fclass.nm.unc p9, p0 =  f8, 0x1FF 
-	 nop.i 0 
+{ .mlx
+      addl            rTblAddr = @ltoff(_expf_table),gp
+      movl            rRightShifter = 0x43E8000000000000 // DP Right Shifter
 }
+;;
 
 { .mfi
-	nop.m 999
-(p0)  mov f36 = f1 
-	nop.i 999 ;;
-}
-
-//     
-//    Identify NatVals, NaNs, Infs, and Zeros. 
-//    Identify EM unsupporteds. 
-//    Save special input registers 
-//
-//    Create FR_X_cor      = 0.0 
-//           GR_Flag       = 0 
-//           GR_Expo_Range = 0 (r32) for single precision 
-//           FR_Scale      = 1.0
-//
-
-{ .mfb
-	nop.m 999
-(p0)  mov f32 = f0 
-(p6)  br.cond.spnt EXPF_64_SPECIAL ;; 
-}
-
-{ .mib
-	nop.m 999
-	nop.i 999
-(p9)  br.cond.spnt EXPF_64_UNSUPPORTED ;; 
+      // point to the beginning of the table
+      ld8             rTblAddr = [rTblAddr]
+      fclass.m        p14, p0 = f8 , 0x22  // test for -INF
+      mov             rExp_mask = 0x1ffff   // Exponent mask
 }
-
-//     
-//    Branch out for special input values 
-//     
-
 { .mfi
-(p0)  cmp.ne.unc p12, p13 = 0x01, r33
-(p0)  fcmp.lt.unc.s0 p9,p0 =  f8, f0 
-(p0)  cmp.eq.unc  p15, p0 =  r0, r0 
-}
-
-//     
-//    Raise possible denormal operand exception 
-//    Normalize x 
-//     
-//    This function computes expf( x  + x_cor) 
-//    Input  FR 1: FR_X            
-//    Input  FR 2: FR_X_cor  
-//    Input  GR 1: GR_Flag  
-//    Input  GR 2: GR_Expo_Range  
-//    Output FR 3: FR_Y_hi  
-//    Output FR 4: FR_Y_lo  
-//    Output FR 5: FR_Scale  
-//    Output PR 1: PR_Safe  
-
-//
-//    Prepare to load constants
-//    Set Safe = True
-//
-
-{ .mmi
-(p0)  addl r34 = @ltoff(Constants_exp_64_Arg#),gp  
-(p0)  addl r40 = @ltoff(Constants_exp_64_W1#),gp 
-(p0)  addl r41 = @ltoff(Constants_exp_64_W2#),gp  
-};;
-
-{ .mmi
-      ld8 r34 = [r34]
-      ld8 r40 = [r40]
-(p0)  addl           r50   = @ltoff(Constants_exp_64_T1#),  gp
+      nop.m           0
+      fnorm.s1        fNormX = f8 // normalized x
+      nop.i           0
 }
 ;;
-{ .mmi
-      ld8 r41  = [r41]
-(p0)  ldfe f37 = [r34],16
-(p0)  addl           r51   = @ltoff(Constants_exp_64_T2#),  gp
-}
-;;
-//
-//    N = fcvt.fx(float_N)
-//    Set p14 if -6 > expo_X 
-//
-//
-//    Bias = 0x0FFFF
-//    expo_X = expo_X and Mask  
-//
 
-{ .mmi
-      ld8  r50 = [r50]
-(p0)  ldfe f40 = [r34],16 
-      nop.i 999
+{ .mfi
+      setf.d          f64DivLn2 = r64DivLn2 // load 64/ln(2) to FP reg
+      fclass.m        p9, p0 = f8 , 0x0b    // test for x unorm
+      mov             rExp_bias = 0xffff    // Exponent bias
 }
-;;
-
-{ .mlx
-      nop.m 999
-(p0)  movl r58 = 0x0FFFF 
-};;
-
-//
-//    Load W2_ptr
-//    Branch to SMALL is expo_X < -6
-//
-//
-//    float_N = X * L_Inv
-//    expo_X = exponent of X
-//    Mask = 0x1FFFF
-//
-
-{ .mmi
-      ld8  r51 = [r51]
-(p0)  ldfe f41 = [r34],16 
-//
-//    float_N = X * L_Inv
-//    expo_X = exponent of X
-//    Mask = 0x1FFFF
-//
-      nop.i 0
-};;
-
 { .mlx
-(p0)  addl r34   = @ltoff(Constants_exp_64_Exponents#),  gp
-(p0)  movl r39 = 0x1FFFF  
+      // load Right Shifter to FP reg
+      setf.d          fRightShifter = rRightShifter
+      movl            rLn2Div64 = 0x3F862E42FEFA39EF // DP ln(2)/64 in GR
 }
 ;;
 
-{ .mmi
-      ld8 r34 = [r34]
-(p0)  getf.exp r37 = f9 
-      nop.i 999
-}
-;;
-
-{ .mii
-      nop.m 999
-      nop.i 999 
-(p0)  and  r37 = r37, r39 ;;  
-}
-
-{ .mmi
-(p0)  sub r37 = r37, r58 ;;  
-(p0)  cmp.gt.unc  p14, p0 =  -6, r37 
-(p0)  cmp.lt.unc  p10, p0 =  14, r37 ;; 
-}
-
 { .mfi
-	nop.m 999
-//
-//    Load L_inv 
-//    Set p12 true for Flag = 0 (exp)
-//    Set p13 true for Flag = 1 (expm1)
-//
-(p0)  fmpy.s1 f38 = f9, f37 
-	nop.i 999 ;;
+      ldfpd           fA8, fA7 = [rTblAddr], 16
+      fcmp.eq.s1      p13, p0 = f0, f8      // test for x = 0.0
+      mov             rExp_half = 0xfffe
 }
-
 { .mfb
-	nop.m 999
-//
-//    Load L_hi
-//    expo_X = expo_X - Bias
-//    get W1_ptr      
-//
-(p0)  fcvt.fx.s1 f39 = f38
-(p14) br.cond.spnt EXPF_SMALL ;; 
-}
-
-{ .mib
-	nop.m 999
-	nop.i 999
-(p10) br.cond.spnt EXPF_HUGE ;; 
-}
-
-{ .mmi
-(p0)  shladd r34 = r32,4,r34 
-(p0)  addl r35 = @ltoff(Constants_exp_64_A#),gp  
-      nop.i 999
+      setf.d          fLn2Div64 = rLn2Div64 // load ln(2)/64 to FP reg
+      nop.f           0
+(p9)  br.cond.spnt    EXPM1_UNORM // Branch if x unorm
 }
 ;;
 
-{ .mmi
-      ld8 r35 = [r35]
-      nop.m 999
-      nop.i 999
+EXPM1_COMMON:
+{ .mfb
+      ldfpd           fA6, fA5 = [rTblAddr], 16
+(p14) fms.s.s0        f8 = f0, f0, f1       // result if x = -inf
+(p14) br.ret.spnt     b0                    // exit here if x = -inf
 }
 ;;
 
-//
-//    Load T_1,T_2
-//
-
-{ .mmb
-(p0)  ldfe f51 = [r35],16 
-(p0)  ld8 r45 = [r34],8
-	nop.b 999 ;;
-}
-//    
-//    Set Safe = True  if k >= big_expo_neg  
-//    Set Safe = False if k < big_expo_neg  
-//    
-
-{ .mmb
-(p0)  ldfe f49 = [r35],16 
-(p0)  ld8 r48 = [r34],0
-	nop.b 999 ;;
-}
-
-{ .mfi
-	nop.m 999
-//
-//    Branch to HUGE is expo_X > 14 
-//
-(p0)  fcvt.xf f38 = f39 
-	nop.i 999 ;;
-}
-
-{ .mfi
-(p0)  getf.sig r52 = f39 
-	nop.f 999
-	nop.i 999 ;;
-}
-
-{ .mii
-	nop.m 999
-(p0)  extr.u r43 = r52, 6, 6 ;;  
-//
-//    r = r - float_N * L_lo
-//    K = extr(N_fix,12,52)
-//
-(p0)  shladd r40 = r43,3,r40 ;; 
-}
-
-{ .mfi
-(p0)  shladd r50 = r43,2,r50 
-(p0)  fnma.s1 f42 = f40, f38, f9 
-//
-//    float_N = float(N)
-//    N_fix = signficand N 
-//
-(p0)  extr.u r42 = r52, 0, 6  
-}
-
-{ .mmi
-(p0)  ldfd  f43 = [r40],0 ;; 
-(p0)  shladd r41 = r42,3,r41 
-(p0)  shladd r51 = r42,2,r51 
-}
-//
-//    W_1_p1 = 1 + W_1
-//
-
-{ .mmi
-(p0)  ldfs  f44 = [r50],0 ;; 
-(p0)  ldfd  f45 = [r41],0 
-//
-//    M_2 = extr(N_fix,0,6)
-//    M_1 = extr(N_fix,6,6)
-//    r = X - float_N * L_hi
-//
-(p0)  extr r44 = r52, 12, 52  
-}
-
-{ .mmi
-(p0)  ldfs  f46 = [r51],0 ;; 
-(p0)  sub r46 = r58, r44  
-(p0)  cmp.gt.unc  p8, p15 =  r44, r45 
-}
-//    
-//    W = W_1 + W_1_p1*W_2 
-//    Load  A_2 
-//    Bias_m_K = Bias - K
-//
-
-{ .mii
-(p0)  ldfe f40 = [r35],16 
-//
-//    load A_1
-//    poly = A_2 + r*A_3 
-//    rsq = r * r  
-//    neg_2_mK = exponent of Bias_m_k
-//
-(p0)  add r47 = r58, r44 ;;  
-//    
-//    Set Safe = True  if k <= big_expo_pos  
-//    Set Safe = False  if k >  big_expo_pos  
-//    Load A_3
-//    
-(p15) cmp.lt p8,p15 = r44,r48 ;;
-}
-
-{ .mmf
-(p0)  setf.exp f61 = r46 
-//    
-//    Bias_p + K = Bias + K
-//    T = T_1 * T_2
-//    
-(p0)  setf.exp f36 = r47 
-(p0)  fnma.s1 f42 = f41, f38, f42 ;; 
-}
-
-{ .mfi
-	nop.m 999
-//
-//    Load W_1,W_2
-//    Load big_exp_pos, load big_exp_neg
-//
-(p0)  fadd.s1 f47 = f43, f1 
-	nop.i 999 ;;
-}
-
-{ .mfi
-	nop.m 999
-(p0)  fma.s1 f52 = f42, f51, f49 
-	nop.i 999
-}
-
-{ .mfi
-	nop.m 999
-(p0)  fmpy.s1 f48 = f42, f42 
-	nop.i 999 ;;
-}
-
-{ .mfi
-	nop.m 999
-(p0)  fmpy.s1 f53 = f44, f46 
-	nop.i 999 ;;
-}
-
-{ .mfi
-	nop.m 999
-(p0)  fma.s1 f54 = f45, f47, f43 
-	nop.i 999
-}
-
-{ .mfi
-	nop.m 999
-(p0)  fneg f61 =  f61 
-	nop.i 999 ;;
-}
-
-{ .mfi
-	nop.m 999
-(p0)  fma.s1 f52 = f42, f52, f40 
-	nop.i 999 ;;
-}
-
-{ .mfi
-	nop.m 999
-(p0)  fadd.s1 f55 = f54, f1 
-	nop.i 999
-}
-
-{ .mfi
-	nop.m 999
-//
-//    W + Wp1 * poly     
-// 
-(p0)  mov f34 = f53 
-	nop.i 999 ;;
-}
-
-{ .mfi
-	nop.m 999
-//
-//    A_1 + r * poly 
-//    Scale = setf_expf(Bias_p_k) 
-//
-(p0)  fma.s1 f52 = f48, f52, f42 
-	nop.i 999 ;;
-}
-
-{ .mfi
-	nop.m 999
-//
-//    poly = r + rsq(A_1 + r*poly) 
-//    Wp1 = 1 + W
-//    neg_2_mK = -neg_2_mK
-//
-(p0)  fma.s1 f35 = f55, f52, f54
-	nop.i 999 ;;
-}
-
 { .mfb
-	nop.m 999
-(p0)  fmpy.s1 f35 = f35, f53 
-//   
-//    Y_hi = T
-//    Y_lo = T * (W + Wp1*poly)
-//
-(p12) br.cond.sptk EXPF_MAIN ;; 
-}
-//
-//    Branch if expf(x)  
-//    Continue for expf(x-1)
-//
-
-{ .mii
-(p0)  cmp.lt.unc  p12, p13 =  10, r44 
-	nop.i 999 ;;
-//
-//    Set p12 if 10 < K, Else p13 
-//
-(p13) cmp.gt.unc  p13, p14 =  -10, r44 ;; 
+      ldfpd           fA4, fA3 = [rTblAddr], 16
+      fclass.m        p15, p0 = f8 , 0x1e1  // test for NaT,NaN,+Inf
+(p13) br.ret.spnt     b0                    // exit here if x =0.0, result is x
 }
-//
-//    K > 10:  Y_lo = Y_lo + neg_2_mK
-//    K <=10:  Set p13 if -10 > K, Else set p14 
-//
+;;
 
 { .mfi
-(p13) cmp.eq  p15, p0 =  r0, r0 
-(p14) fadd.s1 f34 = f61, f34 
-	nop.i 999 ;;
+      // overflow thresholds
+      ldfps           fMIN_SGL_OFLOW_ARG, fMAX_SGL_NORM_ARG = [rTblAddr], 8
+      fma.s1          fXsq = fNormX, fNormX, f0      // x^2 for small path
+      and             rExp_x = rExp_mask, rSignexp_x // Biased exponent of x
 }
-
-{ .mfi
-	nop.m 999
-(p12) fadd.s1 f35 = f35, f61 
-	nop.i 999 ;;
+{ .mlx
+      nop.m           0
+      movl            rM1_lim = 0xc1c00000  // Minus -1 limit (-24.0), SP
 }
+;;
 
 { .mfi
-	nop.m 999
-(p13) fadd.s1 f35 = f35, f34 
-	nop.i 999
+      setf.exp        fA2 = rExp_half
+      // x*(64/ln(2)) + Right Shifter
+      fma.s1          fNint = fNormX, f64DivLn2, fRightShifter
+      sub             rExp_x = rExp_x, rExp_bias     // True exponent of x
 }
-
 { .mfb
-	nop.m 999
-//
-//    K <= 10 and K < -10, Set Safe = True
-//    K <= 10 and K < 10,   Y_lo = Y_hi + Y_lo 
-//    K <= 10 and K > =-10, Y_hi = Y_hi + neg_2_mk 
-// 
-(p13) mov f34 = f61 
-(p0)  br.cond.sptk EXPF_MAIN ;; 
-}
-EXPF_SMALL: 
-{ .mmi
-(p12)  addl           r35   = @ltoff(Constants_exp_64_P#), gp
-(p0)   addl           r34   = @ltoff(Constants_exp_64_Exponents#), gp
-      nop.i 999
-}
-;;
-
-{ .mmi
-(p12) ld8 r35 = [r35]
-      ld8 r34 = [r34]
-      nop.i 999
+      nop.m           0
+(p15) fma.s.s0        f8 = f8, f1, f0       // result if x = NaT,NaN,+Inf
+(p15) br.ret.spnt     b0                    // exit here if x = NaT,NaN,+Inf
 }
 ;;
 
-
-{ .mmi
-(p13)  addl           r35   = @ltoff(Constants_exp_64_Q#), gp
-       nop.m 999
-       nop.i 999
-}
-;;
-
-
-//
-//    Return
-//    K <= 10 and K < 10,   Y_hi = neg_2_mk
-//
-//    /*******************************************************/
-//    /*********** Branch EXP_SMALL  *************************/
-//    /*******************************************************/
-
 { .mfi
-(p13) ld8 r35 = [r35]
-(p0)  mov f42 = f9 
-(p0)  add r34 = 0x48,r34  
+      setf.s          fMAX_SGL_MINUS_1_ARG = rM1_lim // -1 threshold, -24.0
+      nop.f           0
+      cmp.gt          p7, p8 = -2, rExp_x      // Test |x| < 2^(-2)
 }
 ;;
 
-//
-//    Flag = 0
-//    r4 = rsq * rsq
-//
-
 { .mfi
-(p0)  ld8 r49 =[r34],0
-	nop.f 999
-	nop.i 999 ;;
-}
-
-{ .mii
-	nop.m 999
-	nop.i 999 ;;
-//
-//    Flag = 1
-//
-(p0)  cmp.lt.unc  p14, p0 =  r37, r49 ;; 
+(p7)  cmp.gt.unc      p6, p7 = -40, rExp_x     // Test |x| < 2^(-40)
+      fma.s1          fA87 = fA8, fNormX, fA7  // Small path, A8*x+A7
+      nop.i           0
 }
-
 { .mfi
-	nop.m 999
-//
-//    r = X
-//
-(p0)  fmpy.s1 f48 = f42, f42 
-	nop.i 999 ;;
+      nop.m           0
+      fma.s1          fA65 = fA6, fNormX, fA5  // Small path, A6*x+A5
+      nop.i           0
 }
+;;
 
 { .mfb
-	nop.m 999
-//
-//    rsq = r * r
-//
-(p0)  fmpy.s1 f50 = f48, f48 
-//
-//    Is input very small?
-//
-(p14) br.cond.spnt EXPF_VERY_SMALL ;; 
-}
-//
-//    Flag_not1: Y_hi = 1.0
-//    Flag is 1: r6 = rsq * r4
-//
-
-{ .mfi
-(p12) ldfe f52 = [r35],16 
-(p12) mov f34 = f1 
-(p0)  add r53 = 0x1,r0 ;;  
-}
-
-{ .mfi
-(p13) ldfe f51 = [r35],16 
-//
-//    Flag_not_1: Y_lo = poly_hi + r4 * poly_lo
-//
-(p13) mov f34 = f9 
-	nop.i 999 ;;
-}
-
-{ .mmf
-(p12) ldfe f53 = [r35],16 
-//
-//    For Flag_not_1, Y_hi = X
-//    Scale = 1
-//    Create 0x000...01
-//
-(p0)  setf.sig f37 = r53 
-(p0)  mov f36 = f1 ;; 
-}
-
-{ .mmi
-(p13) ldfe f52 = [r35],16 ;; 
-(p12) ldfe f54 = [r35],16 
-	nop.i 999 ;;
-}
-
-{ .mfi
-(p13) ldfe f53 = [r35],16 
-(p13) fmpy.s1 f58 = f48, f50 
-	nop.i 999 ;;
-}
-//
-//    Flag_not1: poly_lo = P_5 + r*P_6
-//    Flag_1: poly_lo = Q_6 + r*Q_7
-//
-
-{ .mmi
-(p13) ldfe f54 = [r35],16 ;; 
-(p12) ldfe f55 = [r35],16 
-	nop.i 999 ;;
-}
-
-{ .mmi
-(p12) ldfe f56 = [r35],16 ;; 
-(p13) ldfe f55 = [r35],16 
-	nop.i 999 ;;
-}
-
-{ .mmi
-(p12) ldfe f57 = [r35],0 ;; 
-(p13) ldfe f56 = [r35],16 
-	nop.i 999 ;;
-}
-
-{ .mfi
-(p13) ldfe f57 = [r35],0 
-	nop.f 999
-	nop.i 999 ;;
-}
-
-{ .mfi
-	nop.m 999
-//
-//    For  Flag_not_1, load p5,p6,p1,p2
-//    Else load p5,p6,p1,p2
-//
-(p12) fma.s1 f60 = f52, f42, f53 
-	nop.i 999 ;;
+      nop.m           0
+(p6)  fma.s.s0        f8 = f8, f8, f8          // If x < 2^-40, result=x+x*x
+(p6)  br.ret.spnt     b0                       // Exit if x < 2^-40
 }
+;;
 
 { .mfi
-	nop.m 999
-(p13) fma.s1 f60 = f51, f42, f52 
-	nop.i 999 ;;
+      nop.m           0
+      // check for overflow
+      fcmp.gt.s1      p15, p14 = fNormX, fMIN_SGL_OFLOW_ARG
+      nop.i           0
 }
-
 { .mfi
-	nop.m 999
-(p12) fma.s1 f60 = f60, f42, f54 
-	nop.i 999 ;;
+      nop.m           0
+      fms.s1          fN = fNint, f1, fRightShifter // n in FP register
+      nop.i           0
 }
+;;
 
 { .mfi
-	nop.m 999
-(p12) fma.s1 f59 = f56, f42, f57 
-	nop.i 999 ;;
+      nop.m           0
+(p7)  fma.s1          fA43 = fA4, fNormX, fA3   // Small path, A4*x+A3
+      nop.i           0
 }
+;;
 
 { .mfi
-	nop.m 999
-(p13) fma.s1 f60 = f42, f60, f53 
-	nop.i 999 ;;
+      getf.sig        rNJ = fNint               // bits of n, j
+(p7)  fma.s1          fA8765 = fA87, fXsq, fA65 // Small path, A87*xsq+A65
+      nop.i           0
 }
-
-{ .mfi
-	nop.m 999
-(p12) fma.s1 f59 = f59, f48, f42 
-	nop.i 999 ;;
+{ .mfb
+      nop.m           0
+(p7)  fma.s1          fX3 = fXsq, fNormX, f0    // Small path, x^3
+      // branch out if overflow
+(p15) br.cond.spnt    EXPM1_CERTAIN_OVERFLOW
 }
+;;
 
 { .mfi
-	nop.m 999
-//
-//    Flag_1: poly_lo = Q_5 + r*(Q_6 + r*Q_7) 
-//    Flag_not1: poly_lo = P_4 + r*(P_5 + r*P_6)
-//    Flag_not1: poly_hi = (P_1 + r*P_2)
-//
-(p13) fmpy.s1 f60 = f60, f58 
-	nop.i 999 ;;
+      addl            rN = 0xffff-63, rNJ    // biased and shifted n
+      fnma.s1         fR = fLn2Div64, fN, fNormX // R = x - N*ln(2)/64
+      extr.u          rJ = rNJ , 0 , 6       // bits of j
 }
+;;
 
 { .mfi
-	nop.m 999
-(p12) fma.s1 f60 = f60, f42, f55 
-	nop.i 999 ;;
+      shladd          rJ = rJ, 3, rTblAddr   // address in the 2^(j/64) table
+      // check for certain -1
+      fcmp.le.s1      p13, p0 = fNormX, fMAX_SGL_MINUS_1_ARG
+      shr             rN = rN, 6             // biased n
 }
-
 { .mfi
-	nop.m 999
-//
-//    Flag_1: poly_lo = r6 *(Q_5 + ....)
-//    Flag_not1: poly_hi =  r + rsq *(P_1 + r*P_2)
-//
-(p12) fma.s1 f35 = f60, f50, f59 
-	nop.i 999
+      nop.m           0
+(p7)  fma.s1          fA432 = fA43, fNormX, fA2 // Small path, A43*x+A2
+      nop.i           0
 }
+;;
 
 { .mfi
-	nop.m 999
-(p13) fma.s1 f59 = f54, f42, f55 
-	nop.i 999 ;;
+      ld8             rJ = [rJ]
+      nop.f           0
+      shl             rN = rN , 52           // 2^n bits in DP format
 }
+;;
 
-{ .mfi
-	nop.m 999
-//
-//    Flag_not1: Y_lo = rsq* poly_hi + poly_lo 
-//    Flag_1: poly_lo = rsq* poly_hi + poly_lo 
-//
-(p13) fma.s1 f59 = f59, f42, f56 
-	nop.i 999 ;;
+{ .mmi
+      or              rN = rN, rJ        // bits of 2^n * 2^(j/64) in DP format
+(p13) mov             rTmp = 1           // Make small value for -1 path
+      nop.i           0
 }
+;;
 
 { .mfi
-	nop.m 999
-//
-//    Flag_not_1: (P_1 + r*P_2) 
-//
-(p13) fma.s1 f59 = f59, f42, f57 
-	nop.i 999 ;;
+      setf.d          fT = rN            // 2^n
+      // check for possible overflow (only happens if input higher precision)
+(p14) fcmp.gt.s1      p14, p0 = fNormX, fMAX_SGL_NORM_ARG
+      nop.i           0
 }
-
 { .mfi
-	nop.m 999
-//
-//    Flag_not_1: poly_hi = r + rsq * (P_1 + r*P_2) 
-//
-(p13) fma.s1 f35 = f59, f48, f60 
-	nop.i 999 ;;
+      nop.m           0
+(p7)  fma.s1          fA8765432 = fA8765, fX3, fA432 // A8765*x^3+A432
+      nop.i           0
 }
+;;
 
 { .mfi
-	nop.m 999
-//
-//    Create 0.000...01
-//
-(p0)  for f37 = f35, f37 
-	nop.i 999 ;;
+(p13) setf.exp        fTmp = rTmp        // Make small value for -1 path
+      fma.s1          fP = fA3, fR, fA2  // A3*R + A2
+      nop.i           0
 }
-
 { .mfb
-	nop.m 999
-//
-//    Set lsb of Y_lo to 1
-//
-(p0)  fmerge.se f35 = f35,f37 
-(p0)  br.cond.sptk EXPF_MAIN ;; 
-}
-EXPF_VERY_SMALL: 
-
-{ .mmi
-      nop.m 999
-(p13) addl r34 = @ltoff(Constants_exp_64_Exponents#),gp
-      nop.i 999;;
-}
-
-{ .mfi
-(p13) ld8  r34 = [r34];
-(p12) mov f35 = f9
-      nop.i 999 ;;
+      nop.m           0
+      fma.s1          fRSqr = fR, fR, f0 // R^2
+(p13) br.cond.spnt    EXPM1_CERTAIN_MINUS_ONE // Branch if x < -24.0
 }
+;;
 
 { .mfb
-	nop.m 999
-(p12) mov f34 = f1 
-(p12) br.cond.sptk EXPF_MAIN ;; 
-}
-
-{ .mlx
-(p13) add  r34 = 8,r34 
-(p13) movl r39 = 0x0FFFE ;; 
-}
-//
-//    Load big_exp_neg 
-//    Create 1/2's exponent
-//
-
-{ .mii
-(p13) setf.exp f56 = r39 
-(p13) shladd r34 = r32,4,r34 ;;  
-	nop.i 999
-}
-//
-//    Negative exponents are stored after positive
-//
-
-{ .mfi
-(p13) ld8 r45 = [r34],0
-//
-//    Y_hi = x
-//    Scale = 1
-//
-(p13) fmpy.s1 f35 = f9, f9 
-	nop.i 999 ;;
-}
-
-{ .mfi
-	nop.m 999
-//
-//    Reset Safe if necessary 
-//    Create 1/2
-//
-(p13) mov f34 = f9 
-	nop.i 999 ;;
+      nop.m           0
+(p7)  fma.s.s0        f8 = fA8765432, fXsq, fNormX // Small path, 
+                                         // result=xsq*A8765432+x
+(p7)  br.ret.spnt     b0                 // Exit if 2^-40 <= |x| < 2^-2
 }
+;;
 
 { .mfi
-(p13) cmp.lt.unc  p0, p15 =  r37, r45 
-(p13) mov f36 = f1 
-	nop.i 999 ;;
+      nop.m           0
+      fma.s1          fP = fP, fRSqr, fR // P = (A3*R + A2)*Rsqr + R
+      nop.i           0
 }
+;;
 
 { .mfb
-	nop.m 999
-//
-//    Y_lo = x * x
-//
-(p13) fmpy.s1 f35 = f35, f56 
-//
-//    Y_lo = x*x/2 
-//
-(p13) br.cond.sptk EXPF_MAIN ;; 
-}
-EXPF_HUGE: 
-
-{ .mfi
-	nop.m 999
-(p0)  fcmp.gt.unc.s1 p14, p0 =  f9, f0 
-	nop.i 999
-}
-
-{ .mlx
-	nop.m 999
-(p0)  movl r39 = 0x15DC0 ;; 
-}
-
-{ .mfi
-(p14) setf.exp f34 = r39 
-(p14) mov f35 = f1 
-(p14) cmp.eq  p0, p15 =  r0, r0 ;; 
+      nop.m           0
+      fms.s1          fTm1 = fT, f1, f1  // T - 1.0
+(p14) br.cond.spnt    EXPM1_POSSIBLE_OVERFLOW
 }
+;;
 
 { .mfb
-	nop.m 999
-(p14) mov f36 = f34 
-//
-//    If x > 0, Set Safe = False
-//    If x > 0, Y_hi = 2**(24,000)
-//    If x > 0, Y_lo = 1.0
-//    If x > 0, Scale = 2**(24,000)
-//
-(p14) br.cond.sptk EXPF_MAIN ;; 
-}
-
-{ .mlx
-	nop.m 999
-(p12) movl r39 = 0xA240 
-}
-
-{ .mlx
-	nop.m 999
-(p12) movl r38 = 0xA1DC ;; 
-}
-
-{ .mmb
-(p13) cmp.eq  p15, p14 =  r0, r0 
-(p12) setf.exp f34 = r39 
-	nop.b 999 ;;
-}
-
-{ .mlx
-(p12) setf.exp f35 = r38 
-(p13) movl r39 = 0xFF9C 
-}
-
-{ .mfi
-	nop.m 999
-(p13) fsub.s1 f34 = f0, f1
-	nop.i 999 ;;
-}
-
-{ .mfi
-	nop.m 999
-(p12) mov f36 = f34 
-(p12) cmp.eq  p0, p15 =  r0, r0 ;; 
-}
-
-{ .mfi
-(p13) setf.exp f35 = r39 
-(p13) mov f36 = f1 
-	nop.i 999 ;;
-}
-EXPF_MAIN: 
-
-{ .mfi
-(p0)  cmp.ne.unc p12, p0 = 0x01, r33
-(p0)  fmpy.s1 f101 = f36, f35 
-	nop.i 999 ;;
+      nop.m           0
+      fma.s.s0        f8 = fP, fT, fTm1
+      br.ret.sptk     b0                 // Result for main path
+                                         // minus_one_limit < x < -2^-2
+                                         // and +2^-2 <= x < overflow_limit
 }
+;;
 
+// Here if x unorm
+EXPM1_UNORM:
 { .mfb
-	nop.m 999
-(p0)  fma.s.s0 f99 = f34, f36, f101 
-(p15) br.cond.sptk EXPF_64_RETURN ;;
-}
-
-{ .mfi
-	nop.m 999
-(p0)  fsetc.s3 0x7F,0x01
-	nop.i 999
-}
-
-{ .mlx
-	nop.m 999
-(p0)  movl r50 = 0x0000000001007F ;;
-}
-//    
-//    S0 user supplied status
-//    S2 user supplied status + WRE + TD  (Overflows) 
-//    S3 user supplied status + RZ + TD   (Underflows) 
-//    
-//    
-//    If (Safe) is true, then
-//        Compute result using user supplied status field.
-//        No overflow or underflow here, but perhaps inexact.
-//        Return
-//    Else
-//       Determine if overflow or underflow  was raised.
-//       Fetch +/- overflow threshold for IEEE single, double,
-//       double extended   
-//    
-
-{ .mfi
-(p0)  setf.exp f60 = r50
-(p0)  fma.s.s3 f102 = f34, f36, f101 
-	nop.i 999
-}
-
-{ .mfi
-	nop.m 999
-(p0)  fsetc.s3 0x7F,0x40 
-	nop.i 999 ;;
-}
-
-{ .mfi
-	nop.m 999
-//
-//    For Safe, no need to check for over/under. 
-//    For expm1, handle errors like exp. 
-//
-(p0)  fsetc.s2 0x7F,0x42
-	nop.i 999;;
-}
-
-{ .mfi
-	nop.m 999
-(p0)  fma.s.s2 f100 = f34, f36, f101 
-	nop.i 999 ;;
-}
-
-{ .mfi
-	nop.m 999
-(p0)  fsetc.s2 0x7F,0x40 
-	nop.i 999 ;;
-}
-
-{ .mfi
-	nop.m 999
-(p7)  fclass.m.unc   p12, p0 =  f102, 0x00F
-	nop.i 999
-}
-
-{ .mfi
-	nop.m 999
-(p0)  fclass.m.unc   p11, p0 =  f102, 0x00F
-	nop.i 999 ;;
-}
-
-{ .mfi
-	nop.m 999
-(p7)  fcmp.ge.unc.s1 p10, p0 =  f100, f60
-	nop.i 999
-}
-
-{ .mfi
-	nop.m 999
-//    
-//    Create largest double exponent + 1.
-//    Create smallest double exponent - 1.
-//    
-(p0)  fcmp.ge.unc.s1 p8, p0 =  f100, f60
-	nop.i 999 ;;
-}
-//    
-//    fcmp:   resultS2 >= + overflow threshold  -> set (a) if true
-//    fcmp:   resultS2 <= - overflow threshold  -> set (b) if true
-//    fclass: resultS3 is denorm/unorm/0        -> set (d) if true
-//    
-
-{ .mib
-(p10) mov   GR_Parameter_TAG = 43
-	nop.i 999
-(p10) br.cond.sptk __libm_error_region ;;
-}
-
-{ .mib
-(p8)  mov   GR_Parameter_TAG = 16
-	nop.i 999
-(p8)  br.cond.sptk __libm_error_region ;;
+      getf.exp        rSignexp_x = fNormX // Must recompute if x unorm
+      fcmp.eq.s0      p6, p0 = f8, f0     // Set D flag
+      br.cond.sptk    EXPM1_COMMON
 }
-//    
-//    Report that exp overflowed
-//    
-
-{ .mib
-(p12) mov   GR_Parameter_TAG = 44
-	nop.i 999
-(p12) br.cond.sptk __libm_error_region ;;
-}
-
-{ .mib
-(p11) mov   GR_Parameter_TAG = 17
-	nop.i 999
-(p11) br.cond.sptk __libm_error_region ;;
-}
-
-{ .mib
-	nop.m 999
-	nop.i 999
-//    
-//    Report that exp underflowed
-//    
-(p0)  br.cond.sptk EXPF_64_RETURN ;;
-}
-EXPF_64_SPECIAL: 
+;;
 
-{ .mfi
-	nop.m 999
-(p0)  fclass.m.unc p6,  p0 =  f8, 0x0c3 
-	nop.i 999
+// here if result will be -1 and inexact, x <= -24.0
+EXPM1_CERTAIN_MINUS_ONE:
+{ .mfb
+      nop.m           0
+      fms.s.s0        f8 = fTmp, fTmp, f1  // Result -1, and Inexact set
+      br.ret.sptk     b0
 }
+;;
 
-{ .mfi
-	nop.m 999
-(p0)  fclass.m.unc p13, p8 =  f8, 0x007 
-	nop.i 999 ;;
-}
+EXPM1_POSSIBLE_OVERFLOW:
 
-{ .mfi
-	nop.m 999
-(p7)  fclass.m.unc p14, p0 =  f8, 0x007 
-	nop.i 999
-}
+// Here if fMAX_SGL_NORM_ARG < x < fMIN_SGL_OFLOW_ARG
+// This cannot happen if input is a single, only if input higher precision.
+// Overflow is a possibility, not a certainty.
 
-{ .mfi
-	nop.m 999
-(p0)  fclass.m.unc p12, p9 =  f8, 0x021 
-	nop.i 999 ;;
-}
+// Recompute result using status field 2 with user's rounding mode,
+// and wre set.  If result is larger than largest single, then we have
+// overflow
 
 { .mfi
-	nop.m 999
-(p0)  fclass.m.unc p11, p0 =  f8, 0x022 
-	nop.i 999
+      mov             rGt_ln  = 0x1007f // Exponent for largest sgl + 1 ulp
+      fsetc.s2        0x7F,0x42         // Get user's round mode, set wre
+      nop.i           0
 }
+;;
 
 { .mfi
-	nop.m 999
-(p7)  fclass.m.unc p10, p0 =  f8, 0x022 
-	nop.i 999 ;;
+      setf.exp        fGt_pln = rGt_ln  // Create largest single + 1 ulp
+      fma.s.s2        fWre_urm_f8 = fP, fT, fTm1  // Result with wre set
+      nop.i           0
 }
+;;
 
 { .mfi
-	nop.m 999
-//    
-//    Identify +/- 0, Inf, or -Inf 
-//    Generate the right kind of NaN.
-//    
-(p13) fadd.s.s0 f99 = f0, f1 
-	nop.i 999 ;;
+      nop.m           0
+      fsetc.s2        0x7F,0x40                   // Turn off wre in sf2
+      nop.i           0
 }
+;;
 
 { .mfi
-	nop.m 999
-(p14) mov f99 = f8 
-	nop.i 999 ;;
+      nop.m           0
+      fcmp.ge.s1      p6, p0 =  fWre_urm_f8, fGt_pln // Test for overflow
+      nop.i           0
 }
+;;
 
 { .mfb
-	nop.m 999
-(p6)  fadd.s.s0 f99 = f8, f1 
-//    
-//    expf(+/-0) = 1 
-//    expm1f(+/-0) = +/-0 
-//    No exceptions raised
-//    
-(p6)  br.cond.sptk EXPF_64_RETURN ;;
-}
-
-{ .mib
-	nop.m 999
-	nop.i 999
-(p14)  br.cond.sptk EXPF_64_RETURN ;;
-}
-
-{ .mfi
-	nop.m 999
-(p11) mov f99 = f0 
-	nop.i 999 ;;
+      nop.m           0
+      nop.f           0
+(p6)  br.cond.spnt    EXPM1_CERTAIN_OVERFLOW // Branch if overflow
 }
+;;
 
 { .mfb
-	nop.m 999
-(p10) fsub.s.s1 f99 = f0, f1 
-//    
-//    expf(-Inf) = 0 
-//    expm1f(-Inf) = -1 
-//    No exceptions raised.
-//    
-(p10)  br.cond.sptk EXPF_64_RETURN ;;
+      nop.m           0
+      fma.s.s0        f8 = fP, fT, fTm1
+      br.ret.sptk     b0                     // Exit if really no overflow
 }
+;;
 
-{ .mfb
-	nop.m 999
-(p12) fmpy.s.s1 f99 = f8, f1 
-//    
-//    expf(+Inf) = Inf 
-//    No exceptions raised.
-//    
-(p0)  br.cond.sptk EXPF_64_RETURN ;; 
+// here if overflow
+EXPM1_CERTAIN_OVERFLOW:
+{ .mmi
+      addl            rTmp = 0x1FFFE, r0;;
+      setf.exp        fTmp = rTmp
+      nop.i 999
 }
-EXPF_64_UNSUPPORTED: 
+;;
 
-{ .mfb
-      nop.m 999
-(p0)  fmpy.s.s0 f99 = f8, f0 
-      nop.b 0;;
+{ .mfi
+      alloc           r32 = ar.pfs, 0, 3, 4, 0 // get some registers
+      fmerge.s        FR_X = fNormX,fNormX
+      nop.i           0
 }
-
-EXPF_64_RETURN:
 { .mfb
-      nop.m 999
-(p0)  mov   f8     = f99
-(p0)  br.ret.sptk   b0
+      mov             GR_Parameter_TAG = 43
+      fma.s.s0        FR_RESULT = fTmp, fTmp, f0 // Set I,O and +INF result
+      br.cond.sptk    __libm_error_region
 }
-.endp expm1f
-ASM_SIZE_DIRECTIVE(expm1f)
+;;
 
+GLOBAL_IEEE754_END(expm1f)
 
-.proc __libm_error_region
-__libm_error_region:
+LOCAL_LIBM_ENTRY(__libm_error_region)
 .prologue
 { .mfi
-        add   GR_Parameter_Y=-32,sp             // Parameter 2 value
-		nop.f 0                   
+      add   GR_Parameter_Y=-32,sp             // Parameter 2 value
+      nop.f 999
 .save   ar.pfs,GR_SAVE_PFS
-        mov  GR_SAVE_PFS=ar.pfs                 // Save ar.pfs
+      mov  GR_SAVE_PFS=ar.pfs                 // Save ar.pfs
 }
 { .mfi
 .fframe 64
-        add sp=-64,sp                           // Create new stack
-        nop.f 0
-        mov GR_SAVE_GP=gp                       // Save gp
+      add sp=-64,sp                           // Create new stack
+      nop.f 0
+      mov GR_SAVE_GP=gp                       // Save gp
 };;
 { .mmi
-        stfs [GR_Parameter_Y] = FR_Y,16         // Store Parameter 2 on stack
-        add GR_Parameter_X = 16,sp              // Parameter 1 address
+      stfs [GR_Parameter_Y] = FR_Y,16         // Store Parameter 2 on stack
+      add GR_Parameter_X = 16,sp              // Parameter 1 address
 .save   b0, GR_SAVE_B0
-        mov GR_SAVE_B0=b0                       // Save b0
+      mov GR_SAVE_B0=b0                       // Save b0
 };;
 .body
-{ .mib
-        stfs [GR_Parameter_X] = FR_X            // Store Parameter 1 on stack
-        add   GR_Parameter_RESULT = 0,GR_Parameter_Y
-        nop.b 0                                 // Parameter 3 address
+{ .mfi
+      stfs [GR_Parameter_X] = FR_X            // Store Parameter 1 on stack
+      nop.f 0
+      add   GR_Parameter_RESULT = 0,GR_Parameter_Y // Parameter 3 address
 }
 { .mib
-        stfs [GR_Parameter_Y] = FR_RESULT       // Store Parameter 3 on stack
-        add   GR_Parameter_Y = -16,GR_Parameter_Y
-        br.call.sptk b0=__libm_error_support#   // Call error handling function
+      stfs [GR_Parameter_Y] = FR_RESULT       // Store Parameter 3 on stack
+      add   GR_Parameter_Y = -16,GR_Parameter_Y
+      br.call.sptk b0=__libm_error_support#   // Call error handling function
 };;
+
 { .mmi
-        nop.m 0
-        nop.m 0
-        add   GR_Parameter_RESULT = 48,sp
+      add   GR_Parameter_RESULT = 48,sp
+      nop.m 0
+      nop.i 0
 };;
+
 { .mmi
-        ldfs  f8 = [GR_Parameter_RESULT]       // Get return result off stack
+      ldfs  f8 = [GR_Parameter_RESULT]       // Get return result off stack
 .restore sp
-        add   sp = 64,sp                       // Restore stack pointer
-        mov   b0 = GR_SAVE_B0                  // Restore return address
+      add   sp = 64,sp                       // Restore stack pointer
+      mov   b0 = GR_SAVE_B0                  // Restore return address
 };;
 { .mib
-        mov   gp = GR_SAVE_GP                  // Restore gp 
-        mov   ar.pfs = GR_SAVE_PFS             // Restore ar.pfs
-        br.ret.sptk     b0                     // Return
-};; 
+      mov   gp = GR_SAVE_GP                  // Restore gp
+      mov   ar.pfs = GR_SAVE_PFS             // Restore ar.pfs
+      br.ret.sptk     b0                     // Return
+};;
 
-.endp __libm_error_region
-ASM_SIZE_DIRECTIVE(__libm_error_region)
+LOCAL_LIBM_END(__libm_error_region)
 
 
 .type   __libm_error_support#,@function
diff --git a/sysdeps/ia64/fpu/s_expm1l.S b/sysdeps/ia64/fpu/s_expm1l.S
index e53d3c8d7c..069856d244 100644
--- a/sysdeps/ia64/fpu/s_expm1l.S
+++ b/sysdeps/ia64/fpu/s_expm1l.S
@@ -1,10 +1,10 @@
-.file "exp_m1l.s"
+.file "expl_m1.s"
 
-// Copyright (C) 2000, 2001, Intel Corporation
+
+// Copyright (c) 2000 - 2003, Intel Corporation
 // All rights reserved.
-// 
-// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story,
-// and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
 //
 // Redistribution and use in source and binary forms, with or without
 // modification, are permitted provided that the following conditions are
@@ -20,7 +20,7 @@
 // * The name of Intel Corporation may not be used to endorse or promote
 // products derived from this software without specific prior written
 // permission.
-//
+
 // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
 // "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
@@ -35,15 +35,22 @@
 // 
 // Intel Corporation is the author of this code, and requests that all
 // problem reports or change requests be submitted to it directly at 
-// http://developer.intel.com/opensource.
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
 //
 // History
 //==============================================================
-// 4/04/00  Unwind support added
-// 8/15/00  Bundle added after call to __libm_error_support to properly
+// 02/02/00 Initial Version
+// 04/04/00 Unwind support added
+// 08/15/00 Bundle added after call to __libm_error_support to properly
 //          set [the previously overwritten] GR_Parameter_RESULT.
+// 07/07/01 Improved speed of all paths
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 02/10/03 Reordered header: .section, .global, .proc, .align;
+//          used data8 for long double table values
+// 03/11/03 Improved accuracy and performance, corrected missing inexact flags
+// 04/17/03 Eliminated misplaced and unused data label
 //
-// ********************************************************************* 
+//********************************************************************* 
 //
 // Function:   Combined expl(x) and expm1l(x), where
 //                        x 
@@ -51,20 +58,20 @@
 //                          x
 //             expm1l(x) = e  - 1  for double-extended precision x values
 //
-// ********************************************************************* 
+//********************************************************************* 
 //
 // Resources Used:
 //
 //    Floating-Point Registers: f8  (Input and Return Value) 
-//                              f9,f32-f61, f99-f102 
+//                              f9-f15,f32-f77 
 //
 //    General Purpose Registers: 
-//      r32-r61
-//      r62-r65 (Used to pass arguments to error handling routine)
+//      r14-r38
+//      r35-r38 (Used to pass arguments to error handling routine)
 //                                     
 //    Predicate Registers:      p6-p15
 //
-// ********************************************************************* 
+//********************************************************************* 
 //
 // IEEE Special Conditions:
 //
@@ -74,39 +81,37 @@
 //    (Error Handling Routine called for overflow and Underflow)
 //    Inexact raised when appropriate by algorithm 
 //
-//    expl(inf) = inf
-//    expl(-inf) = +0
-//    expl(SNaN) = QNaN
-//    expl(QNaN) = QNaN
-//    expl(0) = 1
-//    expl(EM_special Values) = QNaN
-//    expl(inf) = inf
-//    expm1l(-inf) = -1 
-//    expm1l(SNaN) = QNaN
-//    expm1l(QNaN) = QNaN
-//    expm1l(0) = 0
-//    expm1l(EM_special Values) = QNaN
+//    exp(inf) = inf
+//    exp(-inf) = +0
+//    exp(SNaN) = QNaN
+//    exp(QNaN) = QNaN
+//    exp(0) = 1
+//    exp(EM_special Values) = QNaN
+//    exp(inf) = inf
+//    expm1(-inf) = -1 
+//    expm1(SNaN) = QNaN
+//    expm1(QNaN) = QNaN
+//    expm1(0) = 0
+//    expm1(EM_special Values) = QNaN
 //    
-// ********************************************************************* 
+//********************************************************************* 
 //
 // Implementation and Algorithm Notes:
 //
 //  ker_exp_64( in_FR  : X,
-//            in_GR  : Flag,
-//            in_GR  : Expo_Range
 //            out_FR : Y_hi,
 //            out_FR : Y_lo,
 //            out_FR : scale,
 //            out_PR : Safe )
 //
-// On input, X is in register format and 
-// Flag  = 0 for exp,
-// Flag  = 1 for expm1,
+// On input, X is in register format
+// p6 for exp,
+// p7 for expm1,
 //
-// On output, provided X and X_cor are real numbers, then
+// On output, 
 //
-//   scale*(Y_hi + Y_lo)  approximates  expl(X)       if Flag is 0
-//   scale*(Y_hi + Y_lo)  approximates  expl(X)-1     if Flag is 1
+//   scale*(Y_hi + Y_lo)  approximates  exp(X)       if exp
+//   scale*(Y_hi + Y_lo)  approximates  exp(X)-1     if expm1
 //
 // The accuracy is sufficient for a highly accurate 64 sig.
 // bit implementation.  Safe is set if there is no danger of 
@@ -122,36 +127,36 @@
 // The method consists of three cases.
 // 
 // If           |X| < Tiny	use case exp_tiny;
-// else if	|X| < 2^(-6)	use case exp_small;
+// else if	|X| < 2^(-m)	use case exp_small; m=12 for exp, m=7 for expm1
 // else		use case exp_regular;
 //
 // Case exp_tiny:
 //
-//   1 + X     can be used to approximate expl(X) or expl(X+X_cor);
-//   X + X^2/2 can be used to approximate expl(X) - 1
+//   1 + X     can be used to approximate exp(X) 
+//   X + X^2/2 can be used to approximate exp(X) - 1
 //
 // Case exp_small:
 //
-//   Here, expl(X), expl(X+X_cor), and expl(X) - 1 can all be 
+//   Here, exp(X) and exp(X) - 1 can all be 
 //   appproximated by a relatively simple polynomial.
 //
 //   This polynomial resembles the truncated Taylor series
 //
-//	expl(w) = 1 + w + w^2/2! + w^3/3! + ... + w^n/n!
+//	exp(w) = 1 + w + w^2/2! + w^3/3! + ... + w^n/n!
 //
 // Case exp_regular:
 //
 //   Here we use a table lookup method. The basic idea is that in
-//   order to compute expl(X), we accurately decompose X into
+//   order to compute exp(X), we accurately decompose X into
 //
 //   X = N * log(2)/(2^12)  + r,	|r| <= log(2)/2^13.
 //
 //   Hence
 //
-//   expl(X) = 2^( N / 2^12 ) * expl(r).
+//   exp(X) = 2^( N / 2^12 ) * exp(r).
 //
 //   The value 2^( N / 2^12 ) is obtained by simple combinations
-//   of values calculated beforehand and stored in table; expl(r)
+//   of values calculated beforehand and stored in table; exp(r)
 //   is approximated by a short polynomial because |r| is small.
 //
 //   We elaborate this method in 4 steps.
@@ -178,13 +183,9 @@
 //   as a double-precision number; L_lo has 64 significant bits and
 //   stored as a double-extended number.
 //
-//   In the case Flag = 2, we further modify r by
-//
-//   r := r + X_cor.
-//
 //   Step 2: Approximation
 //
-//   expl(r) - 1 is approximated by a short polynomial of the form
+//   exp(r) - 1 is approximated by a short polynomial of the form
 //   
 //   r + A_1 r^2 + A_2 r^3 + A_3 r^4 .
 //
@@ -213,19 +214,19 @@
 //   Define two mathematical values, delta_1 and delta_2, implicitly
 //   such that
 //
-//     T_1 = expl( [M_1 log(2)/2^6]  -  delta_1 ) 
-//     T_2 = expl( [M_2 log(2)/2^12] -  delta_2 )
+//     T_1 = exp( [M_1 log(2)/2^6]  -  delta_1 ) 
+//     T_2 = exp( [M_2 log(2)/2^12] -  delta_2 )
 //
 //   are representable as 24 significant bits. To illustrate the idea,
 //   we show how we define delta_1: 
 //
-//     T_1     := round_to_24_bits( expl( M_1 log(2)/2^6 ) )
+//     T_1     := round_to_24_bits( exp( M_1 log(2)/2^6 ) )
 //     delta_1  = (M_1 log(2)/2^6) - log( T_1 )  
 //
 //   The last equality means mathematical equality. We then tabulate
 //
-//     W_1 := expl(delta_1) - 1
-//     W_2 := expl(delta_2) - 1
+//     W_1 := exp(delta_1) - 1
+//     W_2 := exp(delta_2) - 1
 //
 //   Both in double precision.
 //
@@ -235,13 +236,13 @@
 //     T := T_1 * T_2			...exactly
 //     W := W_1 + (1 + W_1)*W_2	
 //
-//   W approximates expl( delta ) - 1  where delta = delta_1 + delta_2.
+//   W approximates exp( delta ) - 1  where delta = delta_1 + delta_2.
 //   The mathematical product of T and (W+1) is an accurate representation
 //   of 2^(M_1/2^6) * 2^(M_2/2^12).
 //
 //   Step 4. Reconstruction
 //
-//   Finally, we can reconstruct expl(X), expl(X) - 1. 
+//   Finally, we can reconstruct exp(X), exp(X) - 1. 
 //   Because
 //
 //	X = K * log(2) + (M_1*log(2)/2^6  - delta_1) 
@@ -249,18 +250,18 @@
 //		       + delta_1 + delta_2 + r 		...accurately
 //   We have
 //
-//	expl(X) ~=~ 2^K * ( T + T*[expl(delta_1+delta_2+r) - 1] )
-//	       ~=~ 2^K * ( T + T*[expl(delta + r) - 1]         )
-//	       ~=~ 2^K * ( T + T*[(expl(delta)-1)  
-//				 + expl(delta)*(expl(r)-1)]   )
+//	exp(X) ~=~ 2^K * ( T + T*[exp(delta_1+delta_2+r) - 1] )
+//	       ~=~ 2^K * ( T + T*[exp(delta + r) - 1]         )
+//	       ~=~ 2^K * ( T + T*[(exp(delta)-1)  
+//				 + exp(delta)*(exp(r)-1)]   )
 //             ~=~ 2^K * ( T + T*( W + (1+W)*poly(r) ) )
 //             ~=~ 2^K * ( Y_hi  +  Y_lo )
 //
 //   where Y_hi = T  and Y_lo = T*(W + (1+W)*poly(r))
 //
-//   For expl(X)-1, we have
+//   For exp(X)-1, we have
 //
-//	expl(X)-1 ~=~ 2^K * ( Y_hi + Y_lo ) - 1
+//	exp(X)-1 ~=~ 2^K * ( Y_hi + Y_lo ) - 1
 //		 ~=~ 2^K * ( Y_hi + Y_lo - 2^(-K) )
 //
 //   and we combine Y_hi + Y_lo - 2^(-N)  into the form of two 
@@ -278,7 +279,7 @@
 //   different rounding directions and a correct setting of the SAFE 
 //   flag.
 //
-//   If Flag is 1, then
+//   If expm1 is 1, then
 //      SAFE  := False	...possibility of underflow
 //      Scale := 1.0
 //      Y_hi  := X
@@ -296,26 +297,25 @@
 //
 //   Let r = X 
 //
-//   If Flag is not 1	...i.e. expl( argument )
+//   If exp 	...i.e. exp( argument )
 //
 //      rsq := r * r; 
 //      r4  := rsq*rsq
 //      poly_lo := P_3 + r*(P_4 + r*(P_5 + r*P_6))
 //      poly_hi := r + rsq*(P_1 + r*P_2)
 //      Y_lo    := poly_hi + r4 * poly_lo
-//      set lsb(Y_lo) to 1
 //      Y_hi    := 1.0
 //      Scale   := 1.0
 //
-//   Else			...i.e. expl( argument ) - 1
+//   Else			...i.e. exp( argument ) - 1
 //
 //      rsq := r * r
 //      r4  := rsq * rsq
-//      r6  := rsq * r4
-//      poly_lo := r6*(Q_5 + r*(Q_6 + r*Q_7))
-//      poly_hi := Q_1 + r*(Q_2 + r*(Q_3 + r*Q_4))
-//      Y_lo    := rsq*poly_hi +  poly_lo
-//      set lsb(Y_lo) to 1
+//      poly_lo := Q_7 + r*(Q_8 + r*Q_9))
+//      poly_med:= Q_3 + r*Q_4 + rsq*(Q_5 + r*Q_6)
+//      poly_med:= poly_med + r4*poly_lo
+//      poly_hi := Q_1 + r*Q_2
+//      Y_lo    := rsq*(poly_hi +  rsq*poly_lo)
 //      Y_hi    := X
 //      Scale   := 1.0
 //
@@ -325,14 +325,14 @@
 //
 //  The previous description contain enough information except the
 //  computation of poly and the final Y_hi and Y_lo in the case for
-//  expl(X)-1.
+//  exp(X)-1.
 //
 //  The computation of poly for Step 2:
 //
 //   rsq := r*r
 //   poly := r + rsq*(A_1 + r*(A_2 + r*A_3))
 //
-//  For the case expl(X) - 1, we need to incorporate 2^(-K) into
+//  For the case exp(X) - 1, we need to incorporate 2^(-K) into
 //  Y_hi and Y_lo at the end of Step 4.
 //
 //   If K > 10 then
@@ -346,72 +346,197 @@
 //      End If
 //   End If
 //
+//=======================================================
+// General Purpose Registers
+//
+GR_ad_Arg           = r14
+GR_ad_A             = r15
+GR_sig_inv_ln2      = r15
+GR_rshf_2to51       = r16
+GR_ad_PQ            = r16
+GR_ad_Q             = r16
+GR_signexp_x        = r17
+GR_exp_x            = r17
+GR_small_exp        = r18
+GR_rshf             = r18
+GR_exp_mask         = r19
+GR_ad_W1            = r20
+GR_exp_2tom51       = r20
+GR_ad_W2            = r21
+GR_exp_underflow    = r21
+GR_M2               = r22
+GR_huge_exp         = r22
+GR_M1               = r23
+GR_huge_signif      = r23
+GR_K                = r24
+GR_one              = r24
+GR_minus_one        = r24
+GR_exp_bias         = r25
+GR_ad_Limits        = r26
+GR_N_fix            = r26
+GR_exp_2_mk         = r26
+GR_ad_P             = r27
+GR_exp_2_k          = r27
+GR_big_expo_neg     = r28
+GR_very_small_exp   = r29
+GR_exp_half         = r29
+GR_ad_T1            = r30
+GR_ad_T2            = r31
 
-#include "libm_support.h"
+GR_SAVE_PFS         = r32
+GR_SAVE_B0          = r33
+GR_SAVE_GP          = r34
+GR_Parameter_X      = r35
+GR_Parameter_Y      = r36
+GR_Parameter_RESULT = r37
+GR_Parameter_TAG    = r38 
 
-#ifdef _LIBC
-.rodata
-#else
-.data
-#endif
+// Floating Point Registers
+//
+FR_norm_x           = f9
+FR_RSHF_2TO51       = f10
+FR_INV_LN2_2TO63    = f11
+FR_W_2TO51_RSH      = f12
+FR_2TOM51           = f13
+FR_RSHF             = f14
+FR_Y_hi             = f34
+FR_Y_lo             = f35
+FR_scale            = f36
+FR_tmp              = f37
+FR_float_N          = f38
+FR_N_signif         = f39
+FR_L_hi             = f40
+FR_L_lo             = f41
+FR_r                = f42
+FR_W1               = f43
+FR_T1               = f44
+FR_W2               = f45
+FR_T2               = f46
+FR_W1_p1            = f47
+FR_rsq              = f48
+FR_A2               = f49
+FR_r4               = f50
+FR_A3               = f51
+FR_poly             = f52
+FR_T                = f53
+FR_W                = f54
+FR_Wp1              = f55
+FR_p21              = f59
+FR_p210             = f59
+FR_p65              = f60
+FR_p654             = f60
+FR_p6543            = f60
+FR_2_mk             = f61
+FR_P4Q7             = f61
+FR_P4               = f61
+FR_Q7               = f61
+FR_P3Q6             = f62
+FR_P3               = f62
+FR_Q6               = f62
+FR_q65              = f62
+FR_q6543            = f62
+FR_P2Q5             = f63
+FR_P2               = f63
+FR_Q5               = f63
+FR_P1Q4             = f64
+FR_P1               = f64
+FR_Q4               = f64
+FR_q43              = f64
+FR_Q3               = f65
+FR_Q2               = f66
+FR_q21              = f66
+FR_Q1               = f67
+FR_A1               = f68
+FR_P6Q9             = f68
+FR_P6               = f68
+FR_Q9               = f68
+FR_P5Q8             = f69
+FR_P5               = f69
+FR_Q8               = f69
+FR_q987             = f69
+FR_q98              = f69
+FR_q9876543         = f69
+FR_min_oflow_x      = f70
+FR_huge_exp         = f70
+FR_zero_uflow_x     = f71
+FR_huge_signif      = f71
+FR_huge             = f72
+FR_small            = f72
+FR_half             = f73
+FR_T_scale          = f74
+FR_result_lo        = f75
+FR_W_T_scale        = f76
+FR_Wp1_T_scale      = f77
+FR_ftz              = f77
+FR_half_x           = f77
+//
 
-.align 64 
-Constants_exp_64_Arg:
-ASM_TYPE_DIRECTIVE(Constants_exp_64_Arg,@object)
-data4 0x5C17F0BC,0xB8AA3B29,0x0000400B,0x00000000 
-data4 0x00000000,0xB17217F4,0x00003FF2,0x00000000
-data4 0xF278ECE6,0xF473DE6A,0x00003FD4,0x00000000
-// /* Inv_L, L_hi, L_lo */
-ASM_SIZE_DIRECTIVE(Constants_exp_64_Arg)
+FR_X                = f9
+FR_Y                = f0
+FR_RESULT           = f15
 
-.align 64 
-Constants_exp_64_Exponents:
-ASM_TYPE_DIRECTIVE(Constants_exp_64_Exponents,@object)
-data4 0x0000007E,0x00000000,0xFFFFFF83,0xFFFFFFFF
-data4 0x000003FE,0x00000000,0xFFFFFC03,0xFFFFFFFF
-data4 0x00003FFE,0x00000000,0xFFFFC003,0xFFFFFFFF
-data4 0x00003FFE,0x00000000,0xFFFFC003,0xFFFFFFFF
-data4 0xFFFFFFE2,0xFFFFFFFF,0xFFFFFFC4,0xFFFFFFFF
-data4 0xFFFFFFBA,0xFFFFFFFF,0xFFFFFFBA,0xFFFFFFFF
-ASM_SIZE_DIRECTIVE(Constants_exp_64_Exponents)
+// ************* DO NOT CHANGE ORDER OF THESE TABLES ********************
 
-.align 64 
-Constants_exp_64_A:
-ASM_TYPE_DIRECTIVE(Constants_exp_64_A,@object)
-data4 0xB1B736A0,0xAAAAAAAB,0x00003FFA,0x00000000
-data4 0x90CD6327,0xAAAAAAAB,0x00003FFC,0x00000000
-data4 0xFFFFFFFF,0xFFFFFFFF,0x00003FFD,0x00000000
-// /* Reversed */
-ASM_SIZE_DIRECTIVE(Constants_exp_64_A)
+// double-extended 1/ln(2)
+// 3fff b8aa 3b29 5c17 f0bb be87fed0691d3e88
+// 3fff b8aa 3b29 5c17 f0bc 
+// For speed the significand will be loaded directly with a movl and setf.sig
+//   and the exponent will be bias+63 instead of bias+0.  Thus subsequent
+//   computations need to scale appropriately.
+// The constant 2^12/ln(2) is needed for the computation of N.  This is also 
+//   obtained by scaling the computations.
+//
+// Two shifting constants are loaded directly with movl and setf.d. 
+//   1. RSHF_2TO51 = 1.1000..00 * 2^(63-12) 
+//        This constant is added to x*1/ln2 to shift the integer part of
+//        x*2^12/ln2 into the rightmost bits of the significand.
+//        The result of this fma is N_signif.
+//   2. RSHF       = 1.1000..00 * 2^(63) 
+//        This constant is subtracted from N_signif * 2^(-51) to give
+//        the integer part of N, N_fix, as a floating-point number.
+//        The result of this fms is float_N.
 
+RODATA
 .align 64 
-Constants_exp_64_P:
-ASM_TYPE_DIRECTIVE(Constants_exp_64_P,@object)
-data4 0x43914A8A,0xD00D6C81,0x00003FF2,0x00000000
-data4 0x30304B30,0xB60BC4AC,0x00003FF5,0x00000000
-data4 0x7474C518,0x88888888,0x00003FF8,0x00000000
-data4 0x8DAE729D,0xAAAAAAAA,0x00003FFA,0x00000000
-data4 0xAAAAAF61,0xAAAAAAAA,0x00003FFC,0x00000000
-data4 0x000004C7,0x80000000,0x00003FFE,0x00000000 
-// /* Reversed */
-ASM_SIZE_DIRECTIVE(Constants_exp_64_P)
+LOCAL_OBJECT_START(Constants_exp_64_Arg)
+//data8 0xB8AA3B295C17F0BC,0x0000400B // Inv_L = 2^12/log(2)
+data8 0xB17217F400000000,0x00003FF2 // L_hi = hi part log(2)/2^12
+data8 0xF473DE6AF278ECE6,0x00003FD4 // L_lo = lo part log(2)/2^12
+LOCAL_OBJECT_END(Constants_exp_64_Arg)
 
-.align 64 
-Constants_exp_64_Q:
-ASM_TYPE_DIRECTIVE(Constants_exp_64_Q,@object)
-data4 0xA49EF6CA,0xD00D56F7,0x00003FEF,0x00000000
-data4 0x1C63493D,0xD00D59AB,0x00003FF2,0x00000000
-data4 0xFB50CDD2,0xB60B60B5,0x00003FF5,0x00000000
-data4 0x7BA68DC8,0x88888888,0x00003FF8,0x00000000
-data4 0xAAAAAC8D,0xAAAAAAAA,0x00003FFA,0x00000000
-data4 0xAAAAACCA,0xAAAAAAAA,0x00003FFC,0x00000000
-data4 0x00000000,0x80000000,0x00003FFE,0x00000000 
-// /* Reversed */
-ASM_SIZE_DIRECTIVE(Constants_exp_64_Q)
+LOCAL_OBJECT_START(Constants_exp_64_Limits)
+data8 0xb17217f7d1cf79ac,0x0000400c // Smallest long dbl oflow x
+data8 0xb220000000000000,0x0000c00c // Small long dbl uflow zero x
+LOCAL_OBJECT_END(Constants_exp_64_Limits)
 
-.align 64 
-Constants_exp_64_T1:
-ASM_TYPE_DIRECTIVE(Constants_exp_64_T1,@object)
+LOCAL_OBJECT_START(Constants_exp_64_A)
+data8 0xAAAAAAABB1B736A0,0x00003FFA // A3
+data8 0xAAAAAAAB90CD6327,0x00003FFC // A2
+data8 0xFFFFFFFFFFFFFFFF,0x00003FFD // A1
+LOCAL_OBJECT_END(Constants_exp_64_A)
+
+LOCAL_OBJECT_START(Constants_exp_64_P)
+data8 0xD00D6C8143914A8A,0x00003FF2 // P6
+data8 0xB60BC4AC30304B30,0x00003FF5 // P5
+data8 0x888888887474C518,0x00003FF8 // P4
+data8 0xAAAAAAAA8DAE729D,0x00003FFA // P3
+data8 0xAAAAAAAAAAAAAF61,0x00003FFC // P2
+data8 0x80000000000004C7,0x00003FFE // P1
+LOCAL_OBJECT_END(Constants_exp_64_P)
+
+LOCAL_OBJECT_START(Constants_exp_64_Q)
+data8 0x93F2AC5F7471F32E, 0x00003FE9 // Q9
+data8 0xB8DA0F3550B3E764, 0x00003FEC // Q8
+data8 0xD00D00D0028E89C4, 0x00003FEF // Q7
+data8 0xD00D00DAEB8C4E91, 0x00003FF2 // Q6
+data8 0xB60B60B60B60B6F5, 0x00003FF5 // Q5
+data8 0x888888888886CC23, 0x00003FF8 // Q4
+data8 0xAAAAAAAAAAAAAAAB, 0x00003FFA // Q3
+data8 0xAAAAAAAAAAAAAAAB, 0x00003FFC // Q2
+data8 0x8000000000000000, 0x00003FFE // Q1
+LOCAL_OBJECT_END(Constants_exp_64_Q)
+
+LOCAL_OBJECT_START(Constants_exp_64_T1)
 data4 0x3F800000,0x3F8164D2,0x3F82CD87,0x3F843A29 
 data4 0x3F85AAC3,0x3F871F62,0x3F88980F,0x3F8A14D5 
 data4 0x3F8B95C2,0x3F8D1ADF,0x3F8EA43A,0x3F9031DC
@@ -428,11 +553,9 @@ data4 0x3FD744FD,0x3FD99D16,0x3FDBFBB8,0x3FDE60F5
 data4 0x3FE0CCDF,0x3FE33F89,0x3FE5B907,0x3FE8396A
 data4 0x3FEAC0C7,0x3FED4F30,0x3FEFE4BA,0x3FF28177
 data4 0x3FF5257D,0x3FF7D0DF,0x3FFA83B3,0x3FFD3E0C
-ASM_SIZE_DIRECTIVE(Constants_exp_64_T1)
+LOCAL_OBJECT_END(Constants_exp_64_T1)
 
-.align 64 
-Constants_exp_64_T2:
-ASM_TYPE_DIRECTIVE(Constants_exp_64_T2,@object)
+LOCAL_OBJECT_START(Constants_exp_64_T2)
 data4 0x3F800000,0x3F80058C,0x3F800B18,0x3F8010A4 
 data4 0x3F801630,0x3F801BBD,0x3F80214A,0x3F8026D7 
 data4 0x3F802C64,0x3F8031F2,0x3F803780,0x3F803D0E 
@@ -449,1124 +572,824 @@ data4 0x3F810B41,0x3F8110D8,0x3F81166F,0x3F811C07
 data4 0x3F81219F,0x3F812737,0x3F812CD0,0x3F813269 
 data4 0x3F813802,0x3F813D9B,0x3F814334,0x3F8148CE 
 data4 0x3F814E68,0x3F815402,0x3F81599C,0x3F815F37
-ASM_SIZE_DIRECTIVE(Constants_exp_64_T2)
+LOCAL_OBJECT_END(Constants_exp_64_T2)
 
-.align 64 
-Constants_exp_64_W1:
-ASM_TYPE_DIRECTIVE(Constants_exp_64_W1,@object)
-data4 0x00000000,0x00000000,0x171EC4B4,0xBE384454
-data4 0x4AA72766,0xBE694741,0xD42518F8,0xBE5D32B6
-data4 0x3A319149,0x3E68D96D,0x62415F36,0xBE68F4DA
-data4 0xC9C86A3B,0xBE6DDA2F,0xF49228FE,0x3E6B2E50
-data4 0x1188B886,0xBE49C0C2,0x1A4C2F1F,0x3E64BFC2
-data4 0x2CB98B54,0xBE6A2FBB,0x9A55D329,0x3E5DC5DE
-data4 0x39A7AACE,0x3E696490,0x5C66DBA5,0x3E54728B
-data4 0xBA1C7D7D,0xBE62B0DB,0x09F1AF5F,0x3E576E04
-data4 0x1A0DD6A1,0x3E612500,0x795FBDEF,0xBE66A419
-data4 0xE1BD41FC,0xBE5CDE8C,0xEA54964F,0xBE621376
-data4 0x476E76EE,0x3E6370BE,0x3427EB92,0x3E390D1A 
-data4 0x2BF82BF8,0x3E1336DE,0xD0F7BD9E,0xBE5FF1CB 
-data4 0x0CEB09DD,0xBE60A355,0x0980F30D,0xBE5CA37E 
-data4 0x4C082D25,0xBE5C541B,0x3B467D29,0xBE5BBECA 
-data4 0xB9D946C5,0xBE400D8A,0x07ED374A,0xBE5E2A08 
-data4 0x365C8B0A,0xBE66CB28,0xD3403BCA,0x3E3AAD5B 
-data4 0xC7EA21E0,0x3E526055,0xE72880D6,0xBE442C75 
-data4 0x85222A43,0x3E58B2BB,0x522C42BF,0xBE5AAB79 
-data4 0x469DC2BC,0xBE605CB4,0xA48C40DC,0xBE589FA7 
-data4 0x1AA42614,0xBE51C214,0xC37293F4,0xBE48D087 
-data4 0xA2D673E0,0x3E367A1C,0x114F7A38,0xBE51BEBB 
-data4 0x661A4B48,0xBE6348E5,0x1D3B9962,0xBDF52643  
-data4 0x35A78A53,0x3E3A3B5E,0x1CECD788,0xBE46C46C 
-data4 0x7857D689,0xBE60B7EC,0xD14F1AD7,0xBE594D3D 
-data4 0x4C9A8F60,0xBE4F9C30,0x02DFF9D2,0xBE521873 
-data4 0x55E6D68F,0xBE5E4C88,0x667F3DC4,0xBE62140F 
-data4 0x3BF88747,0xBE36961B,0xC96EC6AA,0x3E602861 
-data4 0xD57FD718,0xBE3B5151,0xFC4A627B,0x3E561CD0 
-data4 0xCA913FEA,0xBE3A5217,0x9A5D193A,0x3E40A3CC 
-data4 0x10A9C312,0xBE5AB713,0xC5F57719,0x3E4FDADB 
-data4 0xDBDF59D5,0x3E361428,0x61B4180D,0x3E5DB5DB 
-data4 0x7408D856,0xBE42AD5F,0x31B2B707,0x3E2A3148 
-ASM_SIZE_DIRECTIVE(Constants_exp_64_W1)
+LOCAL_OBJECT_START(Constants_exp_64_W1)
+data8 0x0000000000000000, 0xBE384454171EC4B4
+data8 0xBE6947414AA72766, 0xBE5D32B6D42518F8
+data8 0x3E68D96D3A319149, 0xBE68F4DA62415F36
+data8 0xBE6DDA2FC9C86A3B, 0x3E6B2E50F49228FE
+data8 0xBE49C0C21188B886, 0x3E64BFC21A4C2F1F
+data8 0xBE6A2FBB2CB98B54, 0x3E5DC5DE9A55D329
+data8 0x3E69649039A7AACE, 0x3E54728B5C66DBA5
+data8 0xBE62B0DBBA1C7D7D, 0x3E576E0409F1AF5F
+data8 0x3E6125001A0DD6A1, 0xBE66A419795FBDEF
+data8 0xBE5CDE8CE1BD41FC, 0xBE621376EA54964F
+data8 0x3E6370BE476E76EE, 0x3E390D1A3427EB92
+data8 0x3E1336DE2BF82BF8, 0xBE5FF1CBD0F7BD9E
+data8 0xBE60A3550CEB09DD, 0xBE5CA37E0980F30D
+data8 0xBE5C541B4C082D25, 0xBE5BBECA3B467D29
+data8 0xBE400D8AB9D946C5, 0xBE5E2A0807ED374A
+data8 0xBE66CB28365C8B0A, 0x3E3AAD5BD3403BCA
+data8 0x3E526055C7EA21E0, 0xBE442C75E72880D6
+data8 0x3E58B2BB85222A43, 0xBE5AAB79522C42BF
+data8 0xBE605CB4469DC2BC, 0xBE589FA7A48C40DC
+data8 0xBE51C2141AA42614, 0xBE48D087C37293F4
+data8 0x3E367A1CA2D673E0, 0xBE51BEBB114F7A38
+data8 0xBE6348E5661A4B48, 0xBDF526431D3B9962
+data8 0x3E3A3B5E35A78A53, 0xBE46C46C1CECD788
+data8 0xBE60B7EC7857D689, 0xBE594D3DD14F1AD7
+data8 0xBE4F9C304C9A8F60, 0xBE52187302DFF9D2
+data8 0xBE5E4C8855E6D68F, 0xBE62140F667F3DC4
+data8 0xBE36961B3BF88747, 0x3E602861C96EC6AA
+data8 0xBE3B5151D57FD718, 0x3E561CD0FC4A627B
+data8 0xBE3A5217CA913FEA, 0x3E40A3CC9A5D193A
+data8 0xBE5AB71310A9C312, 0x3E4FDADBC5F57719
+data8 0x3E361428DBDF59D5, 0x3E5DB5DB61B4180D
+data8 0xBE42AD5F7408D856, 0x3E2A314831B2B707
+LOCAL_OBJECT_END(Constants_exp_64_W1)
 
-.align 64 
-Constants_exp_64_W2:
-ASM_TYPE_DIRECTIVE(Constants_exp_64_W2,@object)
-data4 0x00000000,0x00000000,0x37A3D7A2,0xBE641F25 
-data4 0xAD028C40,0xBE68DD57,0xF212B1B6,0xBE5C77D8 
-data4 0x1BA5B070,0x3E57878F,0x2ECAE6FE,0xBE55A36A 
-data4 0x569DFA3B,0xBE620608,0xA6D300A3,0xBE53B50E 
-data4 0x223F8F2C,0x3E5B5EF2,0xD6DE0DF4,0xBE56A0D9 
-data4 0xEAE28F51,0xBE64EEF3,0x367EA80B,0xBE5E5AE2 
-data4 0x5FCBC02D,0x3E47CB1A,0x9BDAFEB7,0xBE656BA0 
-data4 0x805AFEE7,0x3E6E70C6,0xA3415EBA,0xBE6E0509 
-data4 0x49BFF529,0xBE56856B,0x00508651,0x3E66DD33 
-data4 0xC114BC13,0x3E51165F,0xC453290F,0x3E53333D 
-data4 0x05539FDA,0x3E6A072B,0x7C0A7696,0xBE47CD87 
-data4 0xEB05C6D9,0xBE668BF4,0x6AE86C93,0xBE67C3E3 
-data4 0xD0B3E84B,0xBE533904,0x556B53CE,0x3E63E8D9 
-data4 0x63A98DC8,0x3E212C89,0x032A7A22,0xBE33138F 
-data4 0xBC584008,0x3E530FA9,0xCCB93C97,0xBE6ADF82 
-data4 0x8370EA39,0x3E5F9113,0xFB6A05D8,0x3E5443A4 
-data4 0x181FEE7A,0x3E63DACD,0xF0F67DEC,0xBE62B29D 
-data4 0x3DDE6307,0x3E65C483,0xD40A24C1,0x3E5BF030  
-data4 0x14E437BE,0x3E658B8F,0xED98B6C7,0xBE631C29 
-data4 0x04CF7C71,0x3E6335D2,0xE954A79D,0x3E529EED 
-data4 0xF64A2FB8,0x3E5D9257,0x854ED06C,0xBE6BED1B 
-data4 0xD71405CB,0x3E5096F6,0xACB9FDF5,0xBE3D4893 
-data4 0x01B68349,0xBDFEB158,0xC6A463B9,0x3E628D35 
-data4 0xADE45917,0xBE559725,0x042FC476,0xBE68C29C 
-data4 0x01E511FA,0xBE67593B,0x398801ED,0xBE4A4313 
-data4 0xDA7C3300,0x3E699571,0x08062A9E,0x3E5349BE 
-data4 0x755BB28E,0x3E5229C4,0x77A1F80D,0x3E67E426 
-data4 0x6B69C352,0xBE52B33F,0x084DA57F,0xBE6B3550 
-data4 0xD1D09A20,0xBE6DB03F,0x2161B2C1,0xBE60CBC4 
-data4 0x78A2B771,0x3E56ED9C,0x9D0FA795,0xBE508E31 
-data4 0xFD1A54E9,0xBE59482A,0xB07FD23E,0xBE2A17CE 
-data4 0x17365712,0x3E68BF5C,0xB3785569,0x3E3956F9
-ASM_SIZE_DIRECTIVE(Constants_exp_64_W2)
-
-GR_SAVE_PFS         = r59
-GR_SAVE_B0          = r60
-GR_SAVE_GP          = r61
-GR_Parameter_X      = r62
-GR_Parameter_Y      = r63
-GR_Parameter_RESULT = r64
-GR_Parameter_TAG    = r65 
+LOCAL_OBJECT_START(Constants_exp_64_W2)
+data8 0x0000000000000000, 0xBE641F2537A3D7A2
+data8 0xBE68DD57AD028C40, 0xBE5C77D8F212B1B6
+data8 0x3E57878F1BA5B070, 0xBE55A36A2ECAE6FE
+data8 0xBE620608569DFA3B, 0xBE53B50EA6D300A3
+data8 0x3E5B5EF2223F8F2C, 0xBE56A0D9D6DE0DF4
+data8 0xBE64EEF3EAE28F51, 0xBE5E5AE2367EA80B
+data8 0x3E47CB1A5FCBC02D, 0xBE656BA09BDAFEB7
+data8 0x3E6E70C6805AFEE7, 0xBE6E0509A3415EBA
+data8 0xBE56856B49BFF529, 0x3E66DD3300508651
+data8 0x3E51165FC114BC13, 0x3E53333DC453290F
+data8 0x3E6A072B05539FDA, 0xBE47CD877C0A7696
+data8 0xBE668BF4EB05C6D9, 0xBE67C3E36AE86C93
+data8 0xBE533904D0B3E84B, 0x3E63E8D9556B53CE
+data8 0x3E212C8963A98DC8, 0xBE33138F032A7A22
+data8 0x3E530FA9BC584008, 0xBE6ADF82CCB93C97
+data8 0x3E5F91138370EA39, 0x3E5443A4FB6A05D8
+data8 0x3E63DACD181FEE7A, 0xBE62B29DF0F67DEC
+data8 0x3E65C4833DDE6307, 0x3E5BF030D40A24C1
+data8 0x3E658B8F14E437BE, 0xBE631C29ED98B6C7
+data8 0x3E6335D204CF7C71, 0x3E529EEDE954A79D
+data8 0x3E5D9257F64A2FB8, 0xBE6BED1B854ED06C
+data8 0x3E5096F6D71405CB, 0xBE3D4893ACB9FDF5
+data8 0xBDFEB15801B68349, 0x3E628D35C6A463B9
+data8 0xBE559725ADE45917, 0xBE68C29C042FC476
+data8 0xBE67593B01E511FA, 0xBE4A4313398801ED
+data8 0x3E699571DA7C3300, 0x3E5349BE08062A9E
+data8 0x3E5229C4755BB28E, 0x3E67E42677A1F80D
+data8 0xBE52B33F6B69C352, 0xBE6B3550084DA57F
+data8 0xBE6DB03FD1D09A20, 0xBE60CBC42161B2C1
+data8 0x3E56ED9C78A2B771, 0xBE508E319D0FA795
+data8 0xBE59482AFD1A54E9, 0xBE2A17CEB07FD23E
+data8 0x3E68BF5C17365712, 0x3E3956F9B3785569
+LOCAL_OBJECT_END(Constants_exp_64_W2)
 
-FR_X                = f9
-FR_Y                = f9
-FR_RESULT           = f99
 
 .section .text
-.proc expm1l#
-.global expm1l#
-.align 64 
-expm1l: 
-#ifdef _LIBC
-.global __expm1l#
-__expm1l:
-#endif
-{ .mii
-alloc r32 = ar.pfs,0,30,4,0
-(p0)  add r33 = 1, r0  
-(p0)  cmp.eq.unc  p7, p0 =  r0, r0 
-}
-{ .mbb
-	nop.m 999
-(p0)  br.cond.sptk exp_continue 
-	nop.b 999 ;;
-}
+
+GLOBAL_IEEE754_ENTRY(expm1l)
 
 //
-//    Set p7 true for expm1
-//    Set Flag = r33 = 1 for expm1
+//    Set p7 true for expm1, p6 false
 //    
 
-.endp expm1l
-ASM_SIZE_DIRECTIVE(expm1l)
-
-#ifdef _LIBC
-libm_hidden_def (__expm1l)
-#endif
-
-.section .text
-.proc expl#
-.global expl#
-.align 64 
-expl: 
-#ifdef _LIBC
-.global __ieee754_expl#
-__ieee754_expl:
-#endif
-{ .mii
-alloc r32 = ar.pfs,0,30,4,0
-(p0)  add r33 = r0, r0  
-(p0)  cmp.eq.unc  p0, p7 =  r0, r0 ;; 
+{ .mlx
+      getf.exp GR_signexp_x = f8  // Get sign and exponent of x, redo if unorm
+      movl GR_sig_inv_ln2 = 0xb8aa3b295c17f0bc  // significand of 1/ln2
 }
-exp_continue: 
-{ .mfi
-(p0)  add r32 = 2,r0  
-(p0)  fnorm.s1 f9 = f8 
-      nop.i 0
+{ .mlx
+      addl GR_ad_Arg = @ltoff(Constants_exp_64_Arg#),gp  
+      movl GR_rshf_2to51 = 0x4718000000000000 // 1.10000 2^(63+51)
 }
+;;
+
 { .mfi
-(p0)  nop.m 0 
+      ld8  GR_ad_Arg = [GR_ad_Arg]       // Point to Arg table
+      fclass.m p8, p0 =  f8, 0x1E7       // Test x for natval, nan, inf, zero
+      cmp.eq  p7, p6 =  r0, r0 
+}
+{ .mfb
+      mov GR_exp_half = 0x0FFFE          // Exponent of 0.5, for very small path
+      fnorm.s1 FR_norm_x = f8            // Normalize x
+      br.cond.sptk exp_continue 
+}
+;;
+
+GLOBAL_IEEE754_END(expm1l)
+
+GLOBAL_IEEE754_ENTRY(expl)
 //
-//    Set p7 false for exp
-//    Set Flag = r33 = 0 for exp
+//    Set p7 false for exp, p6 true
 //    
-(p0)  fclass.m.unc p6, p8 =  f8, 0x1E7 
-      nop.i 0;;
+{ .mlx
+      getf.exp GR_signexp_x = f8  // Get sign and exponent of x, redo if unorm
+      movl GR_sig_inv_ln2 = 0xb8aa3b295c17f0bc  // significand of 1/ln2
 }
+{ .mlx
+      addl GR_ad_Arg = @ltoff(Constants_exp_64_Arg#),gp  
+      movl GR_rshf_2to51 = 0x4718000000000000 // 1.10000 2^(63+51)
+}
+;;
+
 { .mfi
-	nop.m 999
-(p0)  fclass.nm.unc p9, p0 =  f8, 0x1FF 
-      nop.i 0
+      ld8  GR_ad_Arg = [GR_ad_Arg]       // Point to Arg table
+      fclass.m p8, p0 =  f8, 0x1E7       // Test x for natval, nan, inf, zero
+      cmp.eq  p6, p7 =  r0, r0
 }
 { .mfi
-	nop.m 999
-(p0)  mov f36 = f1 
-	nop.i 999 ;;
+      mov GR_exp_half = 0x0FFFE          // Exponent of 0.5, for very small path
+      fnorm.s1 FR_norm_x = f8            // Normalize x
+      nop.i 999
 }
-{ .mfb
-	nop.m 999
-//     
-//    Identify NatVals, NaNs, Infs, and Zeros. 
-//    Identify EM unsupporteds. 
-//    Save special input registers 
-(p0)  mov f32 = f0 
-//
-//    Create FR_X_cor      = 0.0 
-//           GR_Flag       = 0 
-//           GR_Expo_Range = 2 (r32) for double-extended precision 
-//           FR_Scale      = 1.0
-//
-(p6)  br.cond.spnt EXPL_64_SPECIAL ;; 
+;;
+
+exp_continue: 
+// Form two constants we need
+//  1/ln2 * 2^63  to compute  w = x * 1/ln2 * 128 
+//  1.1000..000 * 2^(63+63-12) to right shift int(N) into the significand
+
+{ .mfi
+      setf.sig  FR_INV_LN2_2TO63 = GR_sig_inv_ln2 // form 1/ln2 * 2^63
+      fclass.nm.unc p9, p0 =  f8, 0x1FF  // Test x for unsupported
+      mov GR_exp_2tom51 = 0xffff-51
+}
+{ .mlx
+      setf.d  FR_RSHF_2TO51 = GR_rshf_2to51 // Form const 1.1000 * 2^(63+51)
+      movl GR_rshf = 0x43e8000000000000  // 1.10000 2^63 for right shift
+}
+;;
+
+{ .mfi
+      setf.exp FR_half = GR_exp_half     // Form 0.5 for very small path
+      fma.s1 FR_scale = f1,f1,f0         // Scale = 1.0
+      mov GR_exp_bias = 0x0FFFF          // Set exponent bias
 }
 { .mib
-	nop.m 999
-	nop.i 999
-(p9)  br.cond.spnt EXPL_64_UNSUPPORTED ;; 
+      add GR_ad_Limits = 0x20, GR_ad_Arg // Point to Limits table
+      mov GR_exp_mask = 0x1FFFF          // Form exponent mask
+(p8)  br.cond.spnt EXP_64_SPECIAL        // Branch if natval, nan, inf, zero
 }
+;;
+
 { .mfi
-(p0)  cmp.ne.unc p12, p13 = 0x01, r33
-//     
-//    Branch out for special input values 
-//     
-(p0)  fcmp.lt.unc.s0 p9,p0 =  f8, f0 
-(p0)  cmp.eq.unc  p15, p0 =  r0, r0 
+      setf.exp FR_2TOM51 = GR_exp_2tom51 // Form 2^-51 for scaling float_N
+      nop.f 999
+      add GR_ad_A = 0x40, GR_ad_Arg      // Point to A table
 }
-{ .mmi
-	nop.m 999
-//     
-//    Raise possible denormal operand exception 
-//    Normalize x 
-//     
-//    This function computes expl( x  + x_cor) 
-//    Input  FR 1: FR_X            
-//    Input  FR 2: FR_X_cor  
-//    Input  GR 1: GR_Flag  
-//    Input  GR 2: GR_Expo_Range  
-//    Output FR 3: FR_Y_hi  
-//    Output FR 4: FR_Y_lo  
-//    Output FR 5: FR_Scale  
-//    Output PR 1: PR_Safe  
-(p0)  addl r34 = @ltoff(Constants_exp_64_Arg#),gp  
-(p0)  addl r40 = @ltoff(Constants_exp_64_W1#),gp 
-};;
-//
-//    Prepare to load constants
-//    Set Safe = True
-//
+{ .mib
+      setf.d  FR_RSHF = GR_rshf          // Form right shift const 1.1000 * 2^63
+      add GR_ad_T1 = 0x160, GR_ad_Arg    // Point to T1 table
+(p9)  br.cond.spnt EXP_64_UNSUPPORTED    // Branch if unsupported
+}
+;;
 
-{ .mmi
-      ld8  r34 = [r34]
-      ld8  r40 = [r40]
-(p0)  addl r41 = @ltoff(Constants_exp_64_W2#),gp  
+.pred.rel "mutex",p6,p7
+{ .mfi
+      ldfe FR_L_hi = [GR_ad_Arg],16      // Get L_hi
+      fcmp.eq.s0 p9,p0 =  f8, f0         // Dummy op to flag denormals
+(p6)  add GR_ad_PQ = 0x30, GR_ad_A       // Point to P table for exp
+}
+{ .mfi
+      ldfe FR_min_oflow_x = [GR_ad_Limits],16 // Get min x to cause overflow
+      fmpy.s1 FR_rsq = f8, f8            // rsq = x * x for small path
+(p7)  add GR_ad_PQ = 0x90, GR_ad_A       // Point to Q table for expm1
 };;
 
 { .mmi
-(p0)  ldfe f37 = [r34],16 
-(p0)  ld8 r41 = [r41] ;; 
+      ldfe FR_L_lo = [GR_ad_Arg],16      // Get L_lo
+      ldfe FR_zero_uflow_x = [GR_ad_Limits],16 // Get x for zero uflow result
+      add GR_ad_W1 = 0x200, GR_ad_T1     // Point to W1 table
 }
+;;
 
-//
-//    N = fcvt.fx(float_N)
-//    Set p14 if -6 > expo_X 
-//
-//
-//    Bias = 0x0FFFF
-//    expo_X = expo_X and Mask  
-//
-
-{ .mmi
-(p0)  ldfe f40 = [r34],16 
-      nop.m 999
-//
-//    Load L_lo
-//    Set p10 if 14 < expo_X 
-//
-(p0)  addl r50 = @ltoff(Constants_exp_64_T1#),gp 
+{ .mfi
+      ldfe FR_P6Q9 = [GR_ad_PQ],16       // P6(exp) or Q9(expm1) for small path
+      mov FR_r = FR_norm_x               // r = X for small path
+      mov GR_very_small_exp = -60        // Exponent of x for very small path
 }
-{ .mmi
-	nop.m 999
-	nop.m 999
-(p0)  addl r51 = @ltoff(Constants_exp_64_T2#),gp ;; 
+{ .mfi
+      add GR_ad_W2 = 0x400, GR_ad_T1     // Point to W2 table
+      nop.f 999
+(p7)  mov GR_small_exp = -7              // Exponent of x for small path expm1
 }
-//
-//    Load W2_ptr
-//    Branch to SMALL is expo_X < -6
-//
+;;
 
-{.mmi
-(p0)  ld8 r50 = [r50]  
-(p0)  ld8 r51 = [r51]  
-};;
+{ .mmi
+      ldfe FR_P5Q8 = [GR_ad_PQ],16       // P5(exp) or Q8(expm1) for small path
+      and  GR_exp_x = GR_signexp_x, GR_exp_mask
+(p6)  mov GR_small_exp = -12             // Exponent of x for small path exp
+}
+;;
 
-{ .mlx
-(p0)  ldfe f41 = [r34],16 
-//
-//    float_N = X * L_Inv
-//    expo_X = exponent of X
-//    Mask = 0x1FFFF
-//
-(p0)  movl r58 = 0x0FFFF 
+// N_signif = X * Inv_log2_by_2^12
+// By adding 1.10...0*2^63 we shift and get round_int(N_signif) in significand.
+// We actually add 1.10...0*2^51 to X * Inv_log2 to do the same thing.
+{ .mfi
+      ldfe FR_P4Q7 = [GR_ad_PQ],16       // P4(exp) or Q7(expm1) for small path
+      fma.s1 FR_N_signif = FR_norm_x, FR_INV_LN2_2TO63, FR_RSHF_2TO51
+      nop.i 999
 }
-{ .mlx
-	nop.m 999
-(p0)  movl r39 = 0x1FFFF ;; 
+{ .mfi
+      sub GR_exp_x = GR_exp_x, GR_exp_bias // Get exponent
+      fmpy.s1 FR_r4 = FR_rsq, FR_rsq     // Form r4 for small path
+      cmp.eq.unc  p15, p0 =  r0, r0      // Set Safe as default
 }
+;;
+
 { .mmi
-(p0)  getf.exp r37 = f9 
-	nop.m 999
-(p0)  addl r34 = @ltoff(Constants_exp_64_Exponents#),gp ;; 
+      ldfe FR_P3Q6 = [GR_ad_PQ],16       // P3(exp) or Q6(expm1) for small path
+      cmp.lt  p14, p0 =  GR_exp_x, GR_very_small_exp // Is |x| < 2^-60?
+      nop.i 999
 }
-{ .mii
-(p0)  ld8 r34 = [r34]  
-      nop.i 999 
-(p0)  and  r37 = r37, r39 ;;  
+;;
+
+{ .mfi
+      ldfe FR_P2Q5 = [GR_ad_PQ],16       // P2(exp) or Q5(expm1) for small path
+      fmpy.s1 FR_half_x = FR_half, FR_norm_x // 0.5 * x for very small path
+      cmp.lt  p13, p0 =  GR_exp_x, GR_small_exp // Is |x| < 2^-m?
 }
-{ .mmi
-(p0)  sub r37 = r37, r58 ;;  
-(p0)  cmp.gt.unc  p14, p0 =  -6, r37 
-(p0)  cmp.lt.unc  p10, p0 =  14, r37 ;; 
+{ .mib
+      nop.m 999
+      nop.i 999
+(p14) br.cond.spnt EXP_VERY_SMALL        // Branch if |x| < 2^-60
 }
+;;
+
 { .mfi
-(p0)  nop.m 0  
-//
-//    Load L_inv 
-//    Set p12 true for Flag = 0 (exp)
-//    Set p13 true for Flag = 1 (expm1)
-//
-(p0)  fmpy.s1 f38 = f9, f37 
-	nop.i 999 ;;
+      ldfe FR_A3 = [GR_ad_A],16          // Get A3 for normal path
+      fcmp.ge.s1 p10,p0 = FR_norm_x, FR_min_oflow_x // Will result overflow?
+      mov GR_big_expo_neg = -16381       // -0x3ffd
 }
 { .mfb
-	nop.m 999
-//
-//    Load L_hi
-//    expo_X = expo_X - Bias
-//    get W1_ptr      
-//
-(p0)  fcvt.fx.s1 f39 = f38
-(p14) br.cond.spnt EXPL_SMALL ;; 
+      ldfe FR_P1Q4 = [GR_ad_PQ],16       // P1(exp) or Q4(expm1) for small path
+      nop.f 999
+(p13) br.cond.spnt EXP_SMALL             // Branch if |x| < 2^-m
+                                         // m=12 for exp, m=7 for expm1
 }
-{ .mib
-	nop.m 999
-	nop.i 999
-(p10) br.cond.spnt EXPL_HUGE ;; 
+;;
+
+// Now we are on the main path for |x| >= 2^-m, m=12 for exp, m=7 for expm1
+//
+// float_N = round_int(N_signif) 
+// The signficand of N_signif contains the rounded integer part of X * 2^12/ln2,
+// as a twos complement number in the lower bits (that is, it may be negative).
+// That twos complement number (called N) is put into GR_N.
+
+// Since N_signif is scaled by 2^51, it must be multiplied by 2^-51
+// before the shift constant 1.10000 * 2^63 is subtracted to yield float_N.
+// Thus, float_N contains the floating point version of N
+
+
+{ .mfi
+      ldfe FR_A2 = [GR_ad_A],16          // Get A2 for main path
+      fcmp.lt.s1 p11,p0 = FR_norm_x, FR_zero_uflow_x // Certain zero, uflow?
+      add GR_ad_T2 = 0x100, GR_ad_T1     // Point to T2 table
 }
-{ .mmi
-(p0)  shladd r34 = r32,4,r34 
+{ .mfi
       nop.m 999
-(p0)  addl r35 = @ltoff(Constants_exp_64_A#),gp ;; 
-}
-//
-//    Load T_1,T_2
-//
-{ .mmi
-   nop.m 999
-   ld8   r35 =[r35]
-   nop.i 99
-};;
-{ .mmb
-(p0)  ldfe f51 = [r35],16 
-(p0)  ld8 r45 = [r34],8
-	nop.b 999 ;;
+      fms.s1 FR_float_N = FR_N_signif, FR_2TOM51, FR_RSHF // Form float_N
+      nop.i 999
 }
-//    
-//    Set Safe = True  if k >= big_expo_neg  
-//    Set Safe = False if k < big_expo_neg  
-//    
-{ .mmb
-(p0)  ldfe f49 = [r35],16 
-(p0)  ld8 r48 = [r34],0
-	nop.b 999 ;;
+;;
+
+{ .mbb
+      getf.sig GR_N_fix = FR_N_signif    // Get N from significand
+(p10) br.cond.spnt  EXP_OVERFLOW         // Branch if result will overflow
+(p11) br.cond.spnt  EXP_CERTAIN_UNDERFLOW_ZERO // Branch if certain zero, uflow
 }
+;;
+
 { .mfi
-	nop.m 999
-//
-//    Branch to HUGE is expo_X > 14 
-//
-(p0)  fcvt.xf f38 = f39 
-	nop.i 999 ;;
+      ldfe FR_A1 = [GR_ad_A],16          // Get A1 for main path
+      fnma.s1 FR_r = FR_L_hi, FR_float_N, FR_norm_x  // r = -L_hi * float_N + x
+      extr.u GR_M1 = GR_N_fix, 6, 6      // Extract index M_1
 }
 { .mfi
-(p0)  getf.sig r52 = f39 
-	nop.f 999
-	nop.i 999 ;;
+      and GR_M2 = 0x3f, GR_N_fix         // Extract index M_2
+      nop.f 999
+      nop.i 999
 }
-{ .mii
-	nop.m 999
-(p0)  extr.u r43 = r52, 6, 6 ;;  
-//
-//    r = r - float_N * L_lo
-//    K = extr(N_fix,12,52)
-//
-(p0)  shladd r40 = r43,3,r40 ;; 
+;;
+
+// N_fix is only correct up to 50 bits because of our right shift technique.
+// Actually in the normal path we will have restricted K to about 14 bits.
+// Somewhat arbitrarily we extract 32 bits.
+{ .mfi
+      shladd GR_ad_W1 = GR_M1,3,GR_ad_W1 // Point to W1
+      nop.f 999
+      extr GR_K = GR_N_fix, 12, 32       // Extract limited range K
 }
 { .mfi
-(p0)  shladd r50 = r43,2,r50 
-(p0)  fnma.s1 f42 = f40, f38, f9 
-//
-//    float_N = float(N)
-//    N_fix = signficand N 
-//
-(p0)  extr.u r42 = r52, 0, 6  
+      shladd GR_ad_T1 = GR_M1,2,GR_ad_T1 // Point to T1
+      nop.f 999
+      shladd GR_ad_T2 = GR_M2,2,GR_ad_T2 // Point to T2
 }
+;;
+
 { .mmi
-(p0)  ldfd  f43 = [r40],0 ;; 
-(p0)  shladd r41 = r42,3,r41 
-(p0)  shladd r51 = r42,2,r51 
-}
-//
-//    W_1_p1 = 1 + W_1
-//
-{ .mmi
-(p0)  ldfs  f44 = [r50],0 ;; 
-(p0)  ldfd  f45 = [r41],0 
-//
-//    M_2 = extr(N_fix,0,6)
-//    M_1 = extr(N_fix,6,6)
-//    r = X - float_N * L_hi
-//
-(p0)  extr r44 = r52, 12, 52  
+      ldfs  FR_T1 = [GR_ad_T1],0         // Get T1
+      ldfd  FR_W1 = [GR_ad_W1],0         // Get W1
+      add GR_exp_2_k = GR_exp_bias, GR_K // Form exponent of 2^k
 }
+;;
+
 { .mmi
-(p0)  ldfs  f46 = [r51],0 ;; 
-(p0)  sub r46 = r58, r44  
-(p0)  cmp.gt.unc  p8, p15 =  r44, r45 
-}
-//    
-//    W = W_1 + W_1_p1*W_2 
-//    Load  A_2 
-//    Bias_m_K = Bias - K
-//
-{ .mii
-(p0)  ldfe f40 = [r35],16 
-//
-//    load A_1
-//    poly = A_2 + r*A_3 
-//    rsq = r * r  
-//    neg_2_mK = exponent of Bias_m_k
-//
-(p0)  add r47 = r58, r44 ;;  
-//    
-//    Set Safe = True  if k <= big_expo_pos  
-//    Set Safe = False  if k >  big_expo_pos  
-//    Load A_3
-//    
-(p15) cmp.lt p8,p15 = r44,r48 ;;
+      ldfs  FR_T2 = [GR_ad_T2],0         // Get T2
+      shladd GR_ad_W2 = GR_M2,3,GR_ad_W2 // Point to W2
+      sub GR_exp_2_mk = GR_exp_bias, GR_K // Form exponent of 2^-k
 }
+;;
+
 { .mmf
-(p0)  setf.exp f61 = r46 
-//    
-//    Bias_p + K = Bias + K
-//    T = T_1 * T_2
-//    
-(p0)  setf.exp f36 = r47 
-(p0)  fnma.s1 f42 = f41, f38, f42 ;; 
+      ldfd  FR_W2 = [GR_ad_W2],0         // Get W2
+      setf.exp FR_scale = GR_exp_2_k     // Set scale = 2^k
+      fnma.s1 FR_r = FR_L_lo, FR_float_N, FR_r // r = -L_lo * float_N + r
 }
+;;
+
 { .mfi
-	nop.m 999
-//
-//    Load W_1,W_2
-//    Load big_exp_pos, load big_exp_neg
-//
-(p0)  fadd.s1 f47 = f43, f1 
-	nop.i 999 ;;
+      setf.exp FR_2_mk = GR_exp_2_mk     // Form 2^-k
+      fma.s1 FR_poly = FR_r, FR_A3, FR_A2 // poly = r * A3 + A2
+      cmp.lt p8,p15 = GR_K,GR_big_expo_neg // Set Safe if K > big_expo_neg
 }
 { .mfi
-	nop.m 999
-(p0)  fma.s1 f52 = f42, f51, f49 
-	nop.i 999
+      nop.m 999
+      fmpy.s1 FR_rsq = FR_r, FR_r         // rsq = r * r
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p0)  fmpy.s1 f48 = f42, f42 
-	nop.i 999 ;;
+      nop.m 999
+      fmpy.s1 FR_T = FR_T1, FR_T2         // T = T1 * T2
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-(p0)  fmpy.s1 f53 = f44, f46 
-	nop.i 999 ;;
+      nop.m 999
+      fadd.s1 FR_W1_p1 = FR_W1, f1        // W1_p1 = W1 + 1.0
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p0)  fma.s1 f54 = f45, f47, f43 
-	nop.i 999
+(p7)  cmp.lt.unc  p8, p9 =  10, GR_K       // If expm1, set p8 if K > 10 
+      fma.s1 FR_poly = FR_r, FR_poly, FR_A1 // poly = r * poly + A1
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p0)  fneg f61 =  f61 
-	nop.i 999 ;;
+(p7)  cmp.eq  p15, p0 =  r0, r0            // If expm1, set Safe flag
+      fma.s1 FR_T_scale = FR_T, FR_scale, f0 // T_scale = T * scale
+(p9)  cmp.gt.unc  p9, p10 =  -10, GR_K     // If expm1, set p9 if K < -10
+                                           // If expm1, set p10 if -10<=K<=10
 }
 { .mfi
-	nop.m 999
-(p0)  fma.s1 f52 = f42, f52, f40 
-	nop.i 999 ;;
+      nop.m 999
+      fma.s1 FR_W = FR_W2, FR_W1_p1, FR_W1 // W = W2 * (W1+1.0) + W1
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p0)  fadd.s1 f55 = f54, f1 
-	nop.i 999
+      nop.m 999
+      mov FR_Y_hi = FR_T                   // Assume Y_hi = T
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-//
-//    W + Wp1 * poly     
-// 
-(p0)  mov f34 = f53 
-	nop.i 999 ;;
+      nop.m 999
+      fma.s1 FR_poly = FR_rsq, FR_poly, FR_r // poly = rsq * poly + r
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-//
-//    A_1 + r * poly 
-//    Scale = setf_expl(Bias_p_k) 
-//
-(p0)  fma.s1 f52 = f48, f52, f42 
-	nop.i 999 ;;
+      nop.m 999
+      fma.s1 FR_Wp1_T_scale = FR_W, FR_T_scale, FR_T_scale // (W+1)*T*scale
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-//
-//    poly = r + rsq(A_1 + r*poly) 
-//    Wp1 = 1 + W
-//    neg_2_mK = -neg_2_mK
-//
-(p0)  fma.s1 f35 = f55, f52, f54
-	nop.i 999 ;;
-}
-{ .mfb
-	nop.m 999
-(p0)  fmpy.s1 f35 = f35, f53 
-//   
-//    Y_hi = T
-//    Y_lo = T * (W + Wp1*poly)
-//
-(p12) br.cond.sptk EXPL_MAIN ;; 
-}
-//
-//    Branch if expl(x)  
-//    Continue for expl(x-1)
-//
-{ .mii
-(p0)  cmp.lt.unc  p12, p13 =  10, r44 
-	nop.i 999 ;;
-//
-//    Set p12 if 10 < K, Else p13 
-//
-(p13) cmp.gt.unc  p13, p14 =  -10, r44 ;; 
+      nop.m 999
+      fma.s1 FR_W_T_scale = FR_W, FR_T_scale, f0 // W*T*scale
+      nop.i 999
 }
-//
-//    K > 10:  Y_lo = Y_lo + neg_2_mK
-//    K <=10:  Set p13 if -10 > K, Else set p14 
-//
+;;
+
 { .mfi
-(p13) cmp.eq  p15, p0 =  r0, r0 
-(p14) fadd.s1 f34 = f61, f34 
-	nop.i 999 ;;
+      nop.m 999
+(p9)  fsub.s1 FR_Y_hi = f0, FR_2_mk      // If expm1, if K < -10 set Y_hi
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-(p12) fadd.s1 f35 = f35, f61 
-	nop.i 999 ;;
+      nop.m 999
+(p10) fsub.s1 FR_Y_hi = FR_T, FR_2_mk    // If expm1, if |K|<=10 set Y_hi
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p13) fadd.s1 f35 = f35, f34 
-	nop.i 999
-}
-{ .mfb
-	nop.m 999
-//
-//    K <= 10 and K < -10, Set Safe = True
-//    K <= 10 and K < 10,   Y_lo = Y_hi + Y_lo 
-//    K <= 10 and K > =-10, Y_hi = Y_hi + neg_2_mk 
-// 
-(p13) mov f34 = f61 
-(p0)  br.cond.sptk EXPL_MAIN ;; 
-}
-EXPL_SMALL: 
-{ .mmi
       nop.m 999
-(p0)  addl r34 = @ltoff(Constants_exp_64_Exponents#),gp  
-(p12) addl r35 = @ltoff(Constants_exp_64_P#),gp ;; 
+      fma.s1 FR_result_lo = FR_Wp1_T_scale, FR_poly, FR_W_T_scale
+      nop.i 999
 }
-.pred.rel "mutex",p12,p13
-{ .mmi
-(p12) ld8  r35=[r35]      
-nop.m 999
-(p13) addl r35 = @ltoff(Constants_exp_64_Q#),gp 
-};;
-{ .mmi
-(p13) ld8  r35=[r35]      
-(p0) ld8  r34=[r34]      
-nop.i 999
-};;
+;;
+
+.pred.rel "mutex",p8,p9
+// If K > 10 adjust result_lo = result_lo - scale * 2^-k
+// If |K| <= 10 adjust result_lo = result_lo + scale * T
 { .mfi
-(p0)  add r34 = 0x48,r34  
-// 
-//    Return
-//    K <= 10 and K < 10,   Y_hi = neg_2_mk 
-// 
-//    /*******************************************************/
-//    /*********** Branch EXPL_SMALL  ************************/
-//    /*******************************************************/
-(p0)  mov f42 = f9 
-	nop.i 999 ;;
+      nop.m 999
+(p8)  fnma.s1 FR_result_lo = FR_scale, FR_2_mk, FR_result_lo // If K > 10
+      nop.i 999
 }
-//
-//    Flag = 0
-//    r4 = rsq * rsq
-//
 { .mfi
-(p0)  ld8 r49 =[r34],0
-	nop.f 999
-	nop.i 999 ;;
-}
-{ .mii
-	nop.m 999
-	nop.i 999 ;;
-//
-//    Flag = 1
-//
-(p0)  cmp.lt.unc  p14, p0 =  r37, r49 ;; 
+      nop.m 999
+(p9)  fma.s1 FR_result_lo = FR_T_scale, f1, FR_result_lo // If |K| <= 10
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-//
-//    r = X
-//
-(p0)  fmpy.s1 f48 = f42, f42 
-	nop.i 999 ;;
+      nop.m 999
+      fmpy.s0 FR_tmp = FR_A1, FR_A1         // Dummy op to set inexact
+      nop.i 999
 }
 { .mfb
-	nop.m 999
-//
-//    rsq = r * r
-//
-(p0)  fmpy.s1 f50 = f48, f48 
-//
-//    Is input very small?
-//
-(p14) br.cond.spnt EXPL_VERY_SMALL ;; 
-}
-//
-//    Flag_not1: Y_hi = 1.0
-//    Flag is 1: r6 = rsq * r4
-//
-{ .mfi
-(p12) ldfe f52 = [r35],16 
-(p12) mov f34 = f1 
-(p0)  add r53 = 0x1,r0 ;;  
-}
-{ .mfi
-(p13) ldfe f51 = [r35],16 
-//
-//    Flag_not_1: Y_lo = poly_hi + r4 * poly_lo
-//
-(p13) mov f34 = f9 
-	nop.i 999 ;;
-}
-{ .mmf
-(p12) ldfe f53 = [r35],16 
-//
-//    For Flag_not_1, Y_hi = X
-//    Scale = 1
-//    Create 0x000...01
-//
-(p0)  setf.sig f37 = r53 
-(p0)  mov f36 = f1 ;; 
+      nop.m 999
+(p15) fma.s0 f8 = FR_Y_hi, FR_scale, FR_result_lo  // Safe result
+(p15) br.ret.sptk b0                        // Safe exit for normal path
 }
-{ .mmi
-(p13) ldfe f52 = [r35],16 ;; 
-(p12) ldfe f54 = [r35],16 
-	nop.i 999 ;;
+;;
+
+// Here if unsafe, will only be here for exp with K < big_expo_neg
+{ .mfb
+      nop.m 999
+      fma.s0 FR_RESULT = FR_Y_hi, FR_scale, FR_result_lo  // Prelim result
+      br.cond.sptk EXP_POSSIBLE_UNDERFLOW  // Branch to unsafe code
 }
+;;
+
+ 
+EXP_SMALL: 
+// Here if 2^-60 < |x| < 2^-m, m=12 for exp, m=7 for expm1
 { .mfi
-(p13) ldfe f53 = [r35],16 
-(p13) fmpy.s1 f58 = f48, f50 
-	nop.i 999 ;;
-}
-//
-//    Flag_not1: poly_lo = P_5 + r*P_6
-//    Flag_1: poly_lo = Q_6 + r*Q_7
-//
-{ .mmi
-(p13) ldfe f54 = [r35],16 ;; 
-(p12) ldfe f55 = [r35],16 
-	nop.i 999 ;;
-}
-{ .mmi
-(p12) ldfe f56 = [r35],16 ;; 
-(p13) ldfe f55 = [r35],16 
-	nop.i 999 ;;
-}
-{ .mmi
-(p12) ldfe f57 = [r35],0 ;; 
-(p13) ldfe f56 = [r35],16 
-	nop.i 999 ;;
+(p7)  ldfe FR_Q3 = [GR_ad_Q],16          // Get Q3 for small path, if expm1
+(p6)  fma.s1 FR_p65 = FR_P6, FR_r, FR_P5  // If exp, p65 = P6 * r + P5
+      nop.i 999
 }
 { .mfi
-(p13) ldfe f57 = [r35],0 
-	nop.f 999
-	nop.i 999 ;;
-}
-{ .mfi
-	nop.m 999
-//
-//    For  Flag_not_1, load p5,p6,p1,p2
-//    Else load p5,p6,p1,p2
-//
-(p12) fma.s1 f60 = f52, f42, f53 
-	nop.i 999 ;;
+      mov GR_minus_one = -1
+(p7)  fma.s1 FR_q98 = FR_Q9, FR_r, FR_Q8  // If expm1, q98 = Q9 * r + Q8
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p13) fma.s1 f60 = f51, f42, f52 
-	nop.i 999 ;;
+(p7)  ldfe FR_Q2 = [GR_ad_Q],16           // Get Q2 for small path, if expm1
+(p7)  fma.s1 FR_q65 = FR_Q6, FR_r, FR_Q5  // If expm1, q65 = Q6 * r + Q5
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p12) fma.s1 f60 = f60, f42, f54 
-	nop.i 999 ;;
+      setf.sig FR_tmp = GR_minus_one      // Create value to force inexact
+(p6)  fma.s1 FR_p21 = FR_P2, FR_r, FR_P1  // If exp, p21 = P2 * r + P1
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-(p12) fma.s1 f59 = f56, f42, f57 
-	nop.i 999 ;;
+(p7)  ldfe FR_Q1 = [GR_ad_Q],16           // Get Q1 for small path, if expm1
+(p7)  fma.s1 FR_q43 = FR_Q4, FR_r, FR_Q3  // If expm1, q43 = Q4 * r + Q3
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p13) fma.s1 f60 = f42, f60, f53 
-	nop.i 999 ;;
+      nop.m 999
+(p6)  fma.s1 FR_p654 = FR_p65, FR_r, FR_P4 // If exp, p654 = p65 * r + P4
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-(p12) fma.s1 f59 = f59, f48, f42 
-	nop.i 999 ;;
+      nop.m 999
+(p7)  fma.s1 FR_q987 = FR_q98, FR_r, FR_Q7 // If expm1, q987 = q98 * r + Q7
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-//
-//    Flag_1: poly_lo = Q_5 + r*(Q_6 + r*Q_7) 
-//    Flag_not1: poly_lo = P_4 + r*(P_5 + r*P_6)
-//    Flag_not1: poly_hi = (P_1 + r*P_2)
-//
-(p13) fmpy.s1 f60 = f60, f58 
-	nop.i 999 ;;
+      nop.m 999
+(p7)  fma.s1 FR_q21 = FR_Q2, FR_r, FR_Q1  // If expm1, q21 = Q2 * r + Q1
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p12) fma.s1 f60 = f60, f42, f55 
-	nop.i 999 ;;
+      nop.m 999
+(p6)  fma.s1 FR_p210 = FR_p21, FR_rsq, FR_r // If exp, p210 = p21 * r + P0
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-//
-//    Flag_1: poly_lo = r6 *(Q_5 + ....)
-//    Flag_not1: poly_hi =  r + rsq *(P_1 + r*P_2)
-//
-(p12) fma.s1 f35 = f60, f50, f59 
-	nop.i 999
+      nop.m 999
+(p7)  fma.s1 FR_q6543 = FR_q65, FR_rsq, FR_q43 // If expm1, q6543 = q65*r2+q43
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p13) fma.s1 f59 = f54, f42, f55 
-	nop.i 999 ;;
+      nop.m 999
+(p6)  fma.s1 FR_p6543 = FR_p654, FR_r, FR_P3 // If exp, p6543 = p654 * r + P3
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-//
-//    Flag_not1: Y_lo = rsq* poly_hi + poly_lo 
-//    Flag_1: poly_lo = rsq* poly_hi + poly_lo 
-//
-(p13) fma.s1 f59 = f59, f42, f56 
-	nop.i 999 ;;
+      nop.m 999
+(p7)  fma.s1 FR_q9876543 = FR_q987, FR_r4, FR_q6543 // If expm1, q9876543 = ...
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-//
-//    Flag_not_1: (P_1 + r*P_2) 
-//
-(p13) fma.s1 f59 = f59, f42, f57 
-	nop.i 999 ;;
+      nop.m 999
+(p6)  fma.s1 FR_Y_lo = FR_p6543, FR_r4, FR_p210 // If exp, form Y_lo
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-//
-//    Flag_not_1: poly_hi = r + rsq * (P_1 + r*P_2) 
-//
-(p13) fma.s1 f35 = f59, f48, f60 
-	nop.i 999 ;;
+      nop.m 999
+(p7)  fma.s1 FR_Y_lo = FR_q9876543, FR_rsq, FR_q21 // If expm1, form Y_lo
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-//
-//    Create 0.000...01
-//
-(p0)  for f37 = f35, f37 
-	nop.i 999 ;;
-}
-{ .mfb
-	nop.m 999
-//
-//    Set lsb of Y_lo to 1
-//
-(p0)  fmerge.se f35 = f35,f37 
-(p0)  br.cond.sptk EXPL_MAIN ;; 
-}
-EXPL_VERY_SMALL: 
-{ .mmi
-	nop.m 999
-	nop.m 999
-(p13) addl r34 = @ltoff(Constants_exp_64_Exponents#),gp 
+      nop.m 999
+      fmpy.s0  FR_tmp = FR_tmp, FR_tmp   // Dummy op to set inexact
+      nop.i 999
 }
+;;
+
+.pred.rel "mutex",p6,p7
 { .mfi
-	nop.m 999
-(p12) mov f35 = f9 
-	nop.i 999 ;;
+      nop.m 999
+(p6)  fma.s0 f8 = FR_Y_lo, f1, f1          // If exp, result = 1 + Y_lo
+      nop.i 999
 }
 { .mfb
-(p13) ld8 r34 = [r34] 
-(p12) mov f34 = f1 
-(p12) br.cond.sptk EXPL_MAIN ;; 
-}
-{ .mlx
-(p13) add  r34 = 8,r34 
-(p13) movl r39 = 0x0FFFE ;; 
-}
-//
-//    Load big_exp_neg 
-//    Create 1/2's exponent
-//
-{ .mii
-(p13) setf.exp f56 = r39 
-(p13) shladd r34 = r32,4,r34 ;;  
-	nop.i 999
+      nop.m 999
+(p7)  fma.s0 f8 = FR_Y_lo, FR_rsq, FR_norm_x // If expm1, result = Y_lo*r2+x
+      br.ret.sptk  b0                      // Exit for 2^-60 <= |x| < 2^-m
+                                           // m=12 for exp, m=7 for expm1
 }
+;;
+
+
+EXP_VERY_SMALL: 
 //
-//    Negative exponents are stored after positive
+// Here if 0 < |x| < 2^-60
+// If exp, result = 1.0 + x
+// If expm1, result = x +x*x/2, but have to check for possible underflow
 //
+
 { .mfi
-(p13) ld8 r45 = [r34],0
-//
-//    Y_hi = x
-//    Scale = 1
-//
-(p13) fmpy.s1 f35 = f9, f9 
-	nop.i 999 ;;
+(p7)  mov GR_exp_underflow = -16381        // Exponent for possible underflow
+(p6)  fadd.s0 f8 = f1, FR_norm_x           // If exp, result = 1+x
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-//
-//    Reset Safe if necessary 
-//    Create 1/2
-//
-(p13) mov f34 = f9 
-	nop.i 999 ;;
+      nop.m 999
+(p7)  fmpy.s1 FR_result_lo = FR_half_x, FR_norm_x  // If expm1 result_lo = x*x/2
+      nop.i 999
 }
+;;
+
 { .mfi
-(p13) cmp.lt.unc  p0, p15 =  r37, r45 
-(p13) mov f36 = f1 
-	nop.i 999 ;;
+(p7)  cmp.lt.unc p0, p8 = GR_exp_x, GR_exp_underflow // Unsafe if expm1 x small
+(p7)  mov FR_Y_hi = FR_norm_x              // If expm1, Y_hi = x
+(p7)  cmp.lt p0, p15 = GR_exp_x, GR_exp_underflow // Unsafe if expm1 x small
 }
+;;
+
 { .mfb
-	nop.m 999
-//
-//    Y_lo = x * x
-//
-(p13) fmpy.s1 f35 = f35, f56 
-//
-//    Y_lo = x*x/2 
-//
-(p13) br.cond.sptk EXPL_MAIN ;; 
-}
-EXPL_HUGE: 
-{ .mfi
-	nop.m 999
-(p0)  fcmp.gt.unc.s1 p14, p0 =  f9, f0 
-	nop.i 999
-}
-{ .mlx
-	nop.m 999
-(p0)  movl r39 = 0x15DC0 ;; 
-}
-{ .mfi
-(p14) setf.exp f34 = r39 
-(p14) mov f35 = f1 
-(p14) cmp.eq  p0, p15 =  r0, r0 ;; 
+      nop.m 999
+(p8)  fma.s0 f8 = FR_norm_x, f1, FR_result_lo // If expm1, result=x+x*x/2
+(p15) br.ret.sptk b0                       // If Safe, exit
 }
+;;
+
+// Here if expm1 and 0 < |x| < 2^-16381;  may be possible underflow
 { .mfb
-	nop.m 999
-(p14) mov f36 = f34 
-//
-//    If x > 0, Set Safe = False
-//    If x > 0, Y_hi = 2**(24,000)
-//    If x > 0, Y_lo = 1.0
-//    If x > 0, Scale = 2**(24,000)
-//
-(p14) br.cond.sptk EXPL_MAIN ;; 
-}
-{ .mlx
-	nop.m 999
-(p12) movl r39 = 0xA240 
-}
-{ .mlx
-	nop.m 999
-(p12) movl r38 = 0xA1DC ;; 
-}
-{ .mmb
-(p13) cmp.eq  p15, p14 =  r0, r0 
-(p12) setf.exp f34 = r39 
-	nop.b 999 ;;
-}
-{ .mlx
-(p12) setf.exp f35 = r38 
-(p13) movl r39 = 0xFF9C 
-}
-{ .mfi
-	nop.m 999
-(p13) fsub.s1 f34 = f0, f1
-	nop.i 999 ;;
+      nop.m 999
+      fma.s0 FR_RESULT = FR_Y_hi, FR_scale, FR_result_lo // Prelim result
+      br.cond.sptk EXP_POSSIBLE_UNDERFLOW  // Branch to unsafe code
 }
-{ .mfi
-	nop.m 999
-(p12) mov f36 = f34 
-(p12) cmp.eq  p0, p15 =  r0, r0 ;; 
+;;
+
+EXP_CERTAIN_UNDERFLOW_ZERO:
+// Here if x < zero_uflow_x
+// For exp, set result to tiny+0.0 and set I, U, and branch to error handling
+// For expm1, set result to tiny-1.0 and set I, and exit
+{ .mmi
+      alloc GR_SAVE_PFS = ar.pfs,0,3,4,0
+      nop.m 999
+      mov GR_one = 1
 }
-{ .mfi
-(p13) setf.exp f35 = r39 
-(p13) mov f36 = f1 
-	nop.i 999 ;;
+;;
+
+{ .mmi
+      setf.exp FR_small = GR_one               // Form small value
+      nop.m 999
+(p6)  mov GR_Parameter_TAG = 13                // Error tag for exp underflow
 }
-EXPL_MAIN: 
+;;
+
 { .mfi
-(p0)  cmp.ne.unc p12, p0 = 0x01, r33
-(p0)  fmpy.s1 f101 = f36, f35 
-	nop.i 999 ;;
+      nop.m 999
+      fmerge.s FR_X = f8,f8                    // Save x for error call
+      nop.i 999
 }
+;;
+
+.pred.rel "mutex",p6,p7
 { .mfb
-	nop.m 999
-(p0)  fma.s0 f99 = f34, f36, f101 
-(p15) br.cond.sptk EXPL_64_RETURN ;;
-}
-{ .mfi
-	nop.m 999
-(p0)  fsetc.s3 0x7F,0x01
-	nop.i 999
+      nop.m 999
+(p6)  fma.s0 FR_RESULT = FR_small, FR_small, f0 // If exp, set I,U, tiny result
+(p6)  br.cond.sptk __libm_error_region          // If exp, go to error handling
 }
-{ .mlx
-	nop.m 999
-(p0)  movl r50 = 0x00000000013FFF ;;
+{ .mfb
+      nop.m 999
+(p7)  fms.s0 f8 = FR_small, FR_small, f1        // If expm1, set I, result -1.0
+(p7)  br.ret.sptk  b0                           // If expm1, exit
+}
+;;
+     
+  
+EXP_OVERFLOW:
+// Here if x >= min_oflow_x
+{ .mmi
+      alloc GR_SAVE_PFS = ar.pfs,0,3,4,0
+      mov GR_huge_exp = 0x1fffe
+      nop.i 999
 }
-//    
-//    S0 user supplied status
-//    S2 user supplied status + WRE + TD  (Overflows) 
-//    S3 user supplied status + RZ + TD   (Underflows) 
-//    
-//    
-//    If (Safe) is true, then
-//        Compute result using user supplied status field.
-//        No overflow or underflow here, but perhaps inexact.
-//        Return
-//    Else
-//       Determine if overflow or underflow  was raised.
-//       Fetch +/- overflow threshold for IEEE single, double,
-//       double extended   
-//    
 { .mfi
-(p0)  setf.exp f60 = r50
-(p0)  fma.s3 f102 = f34, f36, f101 
-	nop.i 999
+      mov GR_huge_signif = -0x1
+      nop.f 999
+(p6)  mov GR_Parameter_TAG = 12                // Error tag for exp overflow
 }
-{ .mfi
-	nop.m 999
-(p0)  fsetc.s3 0x7F,0x40 
-	nop.i 999 ;;
+;;
+
+{ .mmf
+      setf.exp FR_huge_exp = GR_huge_exp       // Create huge value
+      setf.sig FR_huge_signif = GR_huge_signif // Create huge value
+      fmerge.s FR_X = f8,f8                    // Save x for error call
 }
+;;
+
 { .mfi
-	nop.m 999
-//
-//    For Safe, no need to check for over/under. 
-//    For expm1, handle errors like exp. 
-//
-(p0)  fsetc.s2 0x7F,0x42
-	nop.i 999;;
+      nop.m 999
+      fmerge.se FR_huge = FR_huge_exp, FR_huge_signif
+(p7)  mov GR_Parameter_TAG = 39                // Error tag for expm1 overflow
 }
-{ .mfi
-	nop.m 999
-(p0)  fma.s2 f100 = f34, f36, f101 
-	nop.i 999 ;;
+;;
+
+{ .mfb
+      nop.m 999
+      fma.s0 FR_RESULT = FR_huge, FR_huge, FR_huge // Force I, O, and Inf
+      br.cond.sptk __libm_error_region         // Branch to error handling
 }
+;;
+
+
+
+EXP_POSSIBLE_UNDERFLOW:
+// Here if exp and zero_uflow_x < x < about -11356 [where k < -16381]
+// Here if expm1 and |x| < 2^-16381
 { .mfi
-	nop.m 999
-(p0)  fsetc.s2 0x7F,0x40 
-	nop.i 999 ;;
+      alloc GR_SAVE_PFS = ar.pfs,0,3,4,0
+      fsetc.s2 0x7F,0x41                   // Set FTZ and disable traps
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p7)  fclass.m.unc   p12, p0 =  f102, 0x00F
-	nop.i 999
+      nop.m 999
+      fma.s2 FR_ftz = FR_Y_hi, FR_scale, FR_result_lo   // Result with FTZ
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p0)  fclass.m.unc   p11, p0 =  f102, 0x00F
-	nop.i 999 ;;
+      nop.m 999
+      fsetc.s2 0x7F,0x40                   // Disable traps (set s2 default)
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p7)  fcmp.ge.unc.s1 p10, p0 =  f100, f60
-	nop.i 999
+      nop.m 999
+(p7)  fclass.m.unc p12, p0 = FR_ftz, 0x00F // If expm1, FTZ result denorm, zero?
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-//    
-//    Create largest double exponent + 1.
-//    Create smallest double exponent - 1.
-//    
-(p0)  fcmp.ge.unc.s1 p8, p0 =  f100, f60
-	nop.i 999 ;;
-}
-//    
-//    fcmp:   resultS2 >= + overflow threshold  -> set (a) if true
-//    fcmp:   resultS2 <= - overflow threshold  -> set (b) if true
-//    fclass: resultS3 is denorm/unorm/0        -> set (d) if true
-//    
-{ .mib
-(p10) mov   GR_Parameter_TAG = 39
-	nop.i 999
-(p10) br.cond.sptk __libm_error_region ;;
-}
-{ .mib
-(p8)  mov   GR_Parameter_TAG = 12
-	nop.i 999
-(p8)  br.cond.sptk __libm_error_region ;;
-}
-//    
-//    Report that exp overflowed
-//    
-{ .mib
-(p12) mov   GR_Parameter_TAG = 40
-	nop.i 999
-(p12) br.cond.sptk __libm_error_region ;;
+      nop.m 999
+(p6)  fclass.m.unc p11, p0 = FR_ftz, 0x00F // If exp, FTZ result denorm or zero?
+      nop.i 999
 }
-{ .mib
-(p11) mov   GR_Parameter_TAG = 13
-	nop.i 999
-(p11) br.cond.sptk __libm_error_region ;;
+;;
+
+{ .mfb
+(p12) mov   GR_Parameter_TAG = 40             // expm1 underflow
+      fmerge.s FR_X = f8,f8                   // Save x for error call
+(p12) br.cond.spnt __libm_error_region        // Branch on expm1 underflow
 }
+;;
+
 { .mib
-	nop.m 999
-	nop.i 999
-//    
-//    Report that exp underflowed
-//    
-(p0)  br.cond.sptk EXPL_64_RETURN ;;
+(p11) mov   GR_Parameter_TAG = 13             // exp underflow
+      nop.i 999
+(p11) br.cond.spnt __libm_error_region        // Branch on exp underflow
 }
-EXPL_64_SPECIAL: 
-{ .mfi
-	nop.m 999
-(p0)  fclass.m.unc p6,  p0 =  f8, 0x0c3 
-	nop.i 999
-}
-{ .mfi
-	nop.m 999
-(p0)  fclass.m.unc p13, p8 =  f8, 0x007 
-	nop.i 999 ;;
+;;
+
+{ .mfb
+      nop.m 999
+      mov   f8     = FR_RESULT                // Was safe after all
+      br.ret.sptk   b0
 }
+;;
+
+
+EXP_64_SPECIAL: 
+// Here if x natval, nan, inf, zero
+// If x natval, +inf, or if expm1 and x zero, just return x.
+// The other cases must be tested for, and results set.
+// These cases do not generate exceptions.
 { .mfi
-	nop.m 999
-(p7)  fclass.m.unc p14, p0 =  f8, 0x007 
-	nop.i 999
+      nop.m 999
+      fclass.m p8, p0 =  f8, 0x0c3            // Is x nan?
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p0)  fclass.m.unc p12, p9 =  f8, 0x021 
-	nop.i 999 ;;
+      nop.m 999
+(p6)  fclass.m.unc p13, p0 =  f8, 0x007       // If exp, is x zero?
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p0)  fclass.m.unc p11, p0 =  f8, 0x022 
-	nop.i 999
+      nop.m 999
+(p6)  fclass.m.unc p11, p0 =  f8, 0x022       // If exp, is x -inf?
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-(p7)  fclass.m.unc p10, p0 =  f8, 0x022 
-	nop.i 999 ;;
+      nop.m 999
+(p8)  fadd.s0 f8 = f8, f1                     // If x nan, result quietized x
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-//    
-//    Identify +/- 0, Inf, or -Inf 
-//    Generate the right kind of NaN.
-//    
-(p13) fadd.s0 f99 = f0, f1 
-	nop.i 999 ;;
+      nop.m 999
+(p7)  fclass.m.unc p10, p0 =  f8, 0x022       // If expm1, is x -inf?
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-(p14) mov f99 = f8 
-	nop.i 999 ;;
-}
-{ .mfb
-	nop.m 999
-(p6)  fadd.s0 f99 = f8, f1 
-//    
-//    expl(+/-0) = 1 
-//    expm1l(+/-0) = +/-0 
-//    No exceptions raised
-//    
-(p6)  br.cond.sptk EXPL_64_RETURN ;; 
-}
-{ .mib
-	nop.m 999
-	nop.i 999
-(p14) br.cond.sptk EXPL_64_RETURN ;; 
+      nop.m 999
+(p13) fadd.s0 f8 = f0, f1                     // If exp and x zero, result 1.0
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p11) mov f99 = f0 
-	nop.i 999 ;;
-}
-{ .mfb
-	nop.m 999
-(p10) fsub.s1 f99 = f0, f1 
-//    
-//    expl(-Inf) = 0 
-//    expm1l(-Inf) = -1 
-//    No exceptions raised.
-//    
-(p10) br.cond.sptk EXPL_64_RETURN ;; 
-}
-{ .mfb
-	nop.m 999
-(p12) fmpy.s1 f99 = f8, f1 
-//    
-//    expl(+Inf) = Inf 
-//    No exceptions raised.
-//    
-(p0)  br.cond.sptk EXPL_64_RETURN ;; 
+      nop.m 999
+(p11) mov f8 = f0                             // If exp and x -inf, result 0
+      nop.i 999
 }
-EXPL_64_UNSUPPORTED: 
+;;
+
 { .mfb
-	nop.m 999
-(p0)  fmpy.s0 f99 = f8, f0 
-(p0)  br.cond.sptk EXPL_64_RETURN ;; 
+      nop.m 999
+(p10) fsub.s1 f8 = f0, f1                     // If expm1, x -inf, result -1.0
+      br.ret.sptk b0                          // Exit special cases
 }
-EXPL_64_RETURN: 
+;;
+
+
+EXP_64_UNSUPPORTED: 
+// Here if x unsupported type
 { .mfb
       nop.m 999
-(p0)  mov   f8     = f99
-(p0)  br.ret.sptk   b0
+      fmpy.s0 f8 = f8, f0                     // Return nan
+      br.ret.sptk   b0
 }
-.endp
-ASM_SIZE_DIRECTIVE(expl) 
+;;
 
-.proc __libm_error_region
-__libm_error_region:
+GLOBAL_IEEE754_END(expl)
+LOCAL_LIBM_ENTRY(__libm_error_region)
 .prologue
 { .mfi
         add   GR_Parameter_Y=-32,sp             // Parameter 2 value
@@ -1598,9 +1421,9 @@ __libm_error_region:
         br.call.sptk b0=__libm_error_support#  // Call error handling function
 };;
 { .mmi
-        nop.m 0
-        nop.m 0
         add   GR_Parameter_RESULT = 48,sp
+        nop.m 0
+        nop.i 0
 };;
 { .mmi
         ldfe  f8 = [GR_Parameter_RESULT]       // Get return result off stack
@@ -1613,8 +1436,7 @@ __libm_error_region:
         mov   ar.pfs = GR_SAVE_PFS             // Restore ar.pfs
         br.ret.sptk     b0                     // Return
 };;
-.endp __libm_error_region
-ASM_SIZE_DIRECTIVE(__libm_error_region)
+LOCAL_LIBM_END(__libm_error_region#)
 
 .type   __libm_error_support#,@function
 .global __libm_error_support#
diff --git a/sysdeps/ia64/fpu/s_fabs.S b/sysdeps/ia64/fpu/s_fabs.S
index ea3908dbc3..3434389a3c 100644
--- a/sysdeps/ia64/fpu/s_fabs.S
+++ b/sysdeps/ia64/fpu/s_fabs.S
@@ -1,34 +1,82 @@
-/* Copyright (C) 2000 Free Software Foundation, Inc.
-   This file is part of the GNU C Library.
-
-   The GNU C Library is free software; you can redistribute it and/or
-   modify it under the terms of the GNU Lesser General Public
-   License as published by the Free Software Foundation; either
-   version 2.1 of the License, or (at your option) any later version.
-
-   The GNU C Library is distributed in the hope that it will be useful,
-   but WITHOUT ANY WARRANTY; without even the implied warranty of
-   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
-   Lesser General Public License for more details.
-
-   You should have received a copy of the GNU Lesser General Public
-   License along with the GNU C Library; if not, write to the Free
-   Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA
-   02111-1307 USA.  */
-
-#include <sysdep.h>
-#undef ret
-
-ENTRY (__fabs)
-{
-	fabs fret0 = farg0
-	br.ret.sptk.many rp
-}	
-END (__fabs)
-
-strong_alias (__fabs, __fabsf)
-strong_alias (__fabs, __fabsl)
-
-weak_alias (__fabs, fabs)
-weak_alias (__fabsf, fabsf)
-weak_alias (__fabsl, fabsl)
+.file "fabs.s"
+
+
+// Copyright (c) 2000 - 2003, Intel Corporation
+// All rights reserved.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
+//
+// Redistribution and use in source and binary forms, with or without
+// modification, are permitted provided that the following conditions are
+// met:
+//
+// * Redistributions of source code must retain the above copyright
+// notice, this list of conditions and the following disclaimer.
+//
+// * Redistributions in binary form must reproduce the above copyright
+// notice, this list of conditions and the following disclaimer in the
+// documentation and/or other materials provided with the distribution.
+//
+// * The name of Intel Corporation may not be used to endorse or promote
+// products derived from this software without specific prior written
+// permission.
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
+// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS 
+// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, 
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY 
+// OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 
+// 
+// Intel Corporation is the author of this code, and requests that all
+// problem reports or change requests be submitted to it directly at 
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
+//
+// History
+//==============================================================
+// 02/02/00 Initial version 
+// 02/07/02 Added __libm_fabs entry point to test in case compiler inlines
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 02/10/03 Reordered header: .section, .global, .proc, .align
+//
+// API
+//==============================================================
+// double fabs  (double x)
+//
+// Overview of operation
+//==============================================================
+// returns absolute value of x 
+
+// floating-point registers used: 1
+// f8, input
+
+.section .text
+.global __libm_fabs#
+
+.proc __libm_fabs#
+__libm_fabs:
+.endp __libm_fabs#
+
+GLOBAL_IEEE754_ENTRY(fabs)
+
+// set invalid or denormal flags and take fault if
+// necessary
+
+{ .mfi
+      nop.m 999
+      fcmp.eq.unc.s0 p6,p7 = f8,f1             
+      nop.i 999 ;;
+}
+
+{ .mfb
+      nop.m 999
+      fmerge.s       f8 = f0,f8                   
+      br.ret.sptk    b0 ;;                        
+}
+
+GLOBAL_IEEE754_END(fabs)
diff --git a/sysdeps/ia64/fpu/s_fabsf.S b/sysdeps/ia64/fpu/s_fabsf.S
index 7e5abde625..71bb6da882 100644
--- a/sysdeps/ia64/fpu/s_fabsf.S
+++ b/sysdeps/ia64/fpu/s_fabsf.S
@@ -1 +1,82 @@
-/* __fabsf is in s_fabs.S. */
+.file "fabsf.s"
+
+
+// Copyright (c) 2000 - 2003, Intel Corporation
+// All rights reserved.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
+//
+// Redistribution and use in source and binary forms, with or without
+// modification, are permitted provided that the following conditions are
+// met:
+//
+// * Redistributions of source code must retain the above copyright
+// notice, this list of conditions and the following disclaimer.
+//
+// * Redistributions in binary form must reproduce the above copyright
+// notice, this list of conditions and the following disclaimer in the
+// documentation and/or other materials provided with the distribution.
+//
+// * The name of Intel Corporation may not be used to endorse or promote
+// products derived from this software without specific prior written
+// permission.
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
+// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS 
+// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, 
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY 
+// OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 
+// 
+// Intel Corporation is the author of this code, and requests that all
+// problem reports or change requests be submitted to it directly at 
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
+//
+// History
+//==============================================================
+// 02/02/00 Initial version 
+// 02/07/02 Added __libm_fabsf entry point to test in case compiler inlines
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 02/10/03 Reordered header: .section, .global, .proc, .align
+//
+// API
+//==============================================================
+// float fabsf  (float x)
+//
+// Overview of operation
+//==============================================================
+// returns absolute value of x 
+
+// floating-point registers used: 1
+// f8, input
+
+.section .text
+.global __libm_fabsf#
+
+.proc __libm_fabsf#
+__libm_fabsf:
+.endp __libm_fabsf#
+
+GLOBAL_IEEE754_ENTRY(fabsf)
+
+// set invalid or denormal flags and take fault if
+// necessary
+
+{ .mfi
+      nop.m 999
+      fcmp.eq.unc.s0 p6,p7 = f8,f1             
+      nop.i 999 ;;
+}
+
+{ .mfb
+      nop.m 999
+      fmerge.s       f8 = f0,f8                   
+      br.ret.sptk    b0 ;;                        
+}
+
+GLOBAL_IEEE754_END(fabsf)
diff --git a/sysdeps/ia64/fpu/s_fabsl.S b/sysdeps/ia64/fpu/s_fabsl.S
index 3d7a41fe2b..a048949147 100644
--- a/sysdeps/ia64/fpu/s_fabsl.S
+++ b/sysdeps/ia64/fpu/s_fabsl.S
@@ -1 +1,82 @@
-/* __fabsl is in s_fabs.S. */
+.file "fabsl.s"
+
+
+// Copyright (c) 2000 - 2003, Intel Corporation
+// All rights reserved.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
+//
+// Redistribution and use in source and binary forms, with or without
+// modification, are permitted provided that the following conditions are
+// met:
+//
+// * Redistributions of source code must retain the above copyright
+// notice, this list of conditions and the following disclaimer.
+//
+// * Redistributions in binary form must reproduce the above copyright
+// notice, this list of conditions and the following disclaimer in the
+// documentation and/or other materials provided with the distribution.
+//
+// * The name of Intel Corporation may not be used to endorse or promote
+// products derived from this software without specific prior written
+// permission.
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
+// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS 
+// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, 
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY 
+// OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 
+// 
+// Intel Corporation is the author of this code, and requests that all
+// problem reports or change requests be submitted to it directly at 
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
+//
+// History
+//==============================================================
+// 02/02/00 Initial version 
+// 02/07/02 Added __libm_fabsl entry point to test in case compiler inlines
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 02/10/03 Reordered header: .section, .global, .proc, .align
+//
+// API
+//==============================================================
+// long double fabsl  (long double x)
+//
+// Overview of operation
+//==============================================================
+// returns absolute value of x 
+
+// floating-point registers used: 1
+// f8, input
+
+.section .text
+.global __libm_fabsl#
+
+.proc __libm_fabsl#
+__libm_fabsl:
+.endp __libm_fabsl#
+
+GLOBAL_IEEE754_ENTRY(fabsl)
+
+// set invalid or denormal flags and take fault if
+// necessary
+
+{ .mfi
+      nop.m 999
+      fcmp.eq.unc.s0 p6,p7 = f8,f1             
+      nop.i 999 ;;
+}
+
+{ .mfb
+      nop.m 999
+      fmerge.s       f8 = f0,f8                   
+      br.ret.sptk    b0 ;;                        
+}
+
+GLOBAL_IEEE754_END(fabsl)
diff --git a/sysdeps/ia64/fpu/s_fdim.S b/sysdeps/ia64/fpu/s_fdim.S
new file mode 100644
index 0000000000..96ff67bf15
--- /dev/null
+++ b/sysdeps/ia64/fpu/s_fdim.S
@@ -0,0 +1,227 @@
+.file "fdim.s"
+
+
+// Copyright (c) 2001 - 2003, Intel Corporation
+// All rights reserved.
+//
+// Contributed 2001 by the Intel Numerics Group, Intel Corporation
+//
+// Redistribution and use in source and binary forms, with or without
+// modification, are permitted provided that the following conditions are
+// met:
+//
+// * Redistributions of source code must retain the above copyright
+// notice, this list of conditions and the following disclaimer.
+//
+// * Redistributions in binary form must reproduce the above copyright
+// notice, this list of conditions and the following disclaimer in the
+// documentation and/or other materials provided with the distribution.
+//
+// * The name of Intel Corporation may not be used to endorse or promote
+// products derived from this software without specific prior written
+// permission.
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
+// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
+// OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+//
+// Intel Corporation is the author of this code, and requests that all
+// problem reports or change requests be submitted to it directly at
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
+//
+// History
+//==============================================================
+// 06/08/01 Initial version
+// 08/23/01 Corrected error tag number
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 01/28/03 Improved performance
+//
+// API
+//==============================================================
+// double fdim( double x, double y );
+// input  floating point f8, f9
+// output floating point f8
+//
+//
+// Overview of operation
+//==============================================================
+// fdim determines the positive difference between the arguments
+//   Result = x - y   if x > y
+//          = +0      if x <= y
+//
+// Error support is called if x-y overflows for x > y
+//
+
+// Registers used
+//==============================================================
+// General purpose registers: r14, r32 - r39
+
+rExpBig               = r14
+
+// r36-39 parameters for libm_error_support
+GR_SAVE_B0            = r33
+GR_SAVE_GP            = r34
+GR_SAVE_PFS           = r35
+
+GR_Parameter_X        = r36
+GR_Parameter_Y        = r37
+GR_Parameter_RESULT   = r38
+GR_Parameter_TAG      = r39
+
+// Floating-point registers: f8 - f12
+
+f_tmp_result          = f10
+fBig                  = f11
+fNormX                = f12
+
+// Predicate registers: p6 - p10
+
+
+.section .text
+GLOBAL_LIBM_ENTRY(fdim)
+
+{ .mfi
+      mov             rExpBig = 0x103ff  // Exponent to indicate overflow
+      fcmp.le.s1      p6,p7 = f8, f9     // Is x <= y?
+      nop.i           0
+}
+{ .mfi
+      nop.m           0
+      fnorm.s1        fNormX = f8        // Save x
+      nop.i           0
+}
+;;
+
+{ .mfi
+      setf.exp        fBig = rExpBig     // Constant to test for overflow
+      fcmp.eq.s0      p8,p0 = f8, f9     // Dummy op to set Denormal or Invalid
+      nop.i           0
+}
+;;
+
+{ .mfi
+      nop.m           0
+      fclass.m        p9,p10 = f8, 0x1e3 // Test for x natval, nan, inf
+      nop.i           0
+}
+;;
+
+{ .mfi
+      nop.m           0
+(p6)  fmerge.s        f8 = f0, f0        // Result is +0 if x <= y
+      nop.i           0
+}
+{ .mfi
+      nop.m           0
+(p7)  fms.d.s0        f8 = f8, f1, f9    // Result is x - y if x > y
+      nop.i           0
+}
+;;
+
+{ .mfi
+      nop.m           0
+(p10) fclass.m        p9,p10 = f9, 0x1e3 // Test for y natval, nan, inf
+      nop.i           0
+}
+;;
+
+{ .mfi
+      nop.m           0
+(p10) fcmp.ge.s1      p8,p0 = f8, fBig   // Test result for overflow
+      nop.i           0
+}
+;;
+
+{ .mbb
+(p9)  cmp.ne          p8,p0 = r0,r0      // Clear p8 if x or y natval,nan,inf
+(p8)  br.cond.spnt    FDIM_OVERFLOW      // Branch if result overflows
+      br.ret.sptk     b0                 // Normal return
+}
+;;
+
+
+// Here if result will overflow
+FDIM_OVERFLOW:
+{ .mfi
+      alloc           r32=ar.pfs,2,2,4,0
+      fms.d.s0        f_tmp_result = f8,f1,f9 // Normalize result force overflow
+      nop.i           0
+}
+{ .mfb
+      mov             GR_Parameter_TAG = 196  // Error code
+      nop.f           0
+      br.cond.sptk    __libm_error_region     // Branch to error code
+}
+;;
+
+GLOBAL_LIBM_END(fdim)
+
+LOCAL_LIBM_ENTRY(__libm_error_region)
+// Call error support to report possible range error
+.prologue
+
+{ .mfi
+        add   GR_Parameter_Y=-32,sp            // Parameter 2 value
+        nop.f 0
+.save   ar.pfs,GR_SAVE_PFS
+        mov  GR_SAVE_PFS=ar.pfs                // Save ar.pfs
+}
+{ .mfi
+.fframe 64
+        add sp=-64,sp                          // Create new stack
+        nop.f 0
+        mov GR_SAVE_GP=gp                      // Save gp
+};;
+
+{ .mmi
+        stfd [GR_Parameter_Y] = f9,16          // STORE Parameter 2 on stack
+        add GR_Parameter_X = 16,sp             // Parameter 1 address
+.save   b0, GR_SAVE_B0
+        mov GR_SAVE_B0=b0                      // Save b0
+};;
+
+.body
+{ .mib
+        stfd [GR_Parameter_X] = fNormX         // STORE Parameter 1 on stack
+        add   GR_Parameter_RESULT = 0,GR_Parameter_Y // Parameter 3 address
+        nop.b 0
+}
+{ .mib
+        stfd [GR_Parameter_Y] = f_tmp_result   // STORE Parameter 3 on stack
+        add   GR_Parameter_Y = -16,GR_Parameter_Y
+        br.call.sptk b0=__libm_error_support#  // Call error handling function
+};;
+
+{ .mmi
+        add   GR_Parameter_RESULT = 48,sp
+        nop.m 0
+        nop.i 0
+};;
+
+{ .mmi
+        ldfd  f8 = [GR_Parameter_RESULT]       // Get return result off stack
+.restore sp
+        add   sp = 64,sp                       // Restore stack pointer
+        mov   b0 = GR_SAVE_B0                  // Restore return address
+};;
+
+{ .mib
+        mov   gp = GR_SAVE_GP                  // Restore gp
+        mov   ar.pfs = GR_SAVE_PFS             // Restore ar.pfs
+        br.ret.sptk     b0                     // Return
+};;
+
+LOCAL_LIBM_END(__libm_error_region)
+
+
+.type   __libm_error_support#,@function
+.global __libm_error_support#
+
diff --git a/sysdeps/ia64/fpu/s_fdimf.S b/sysdeps/ia64/fpu/s_fdimf.S
new file mode 100644
index 0000000000..19e14d373a
--- /dev/null
+++ b/sysdeps/ia64/fpu/s_fdimf.S
@@ -0,0 +1,227 @@
+.file "fdimf.s"
+
+
+// Copyright (c) 2001 - 2003, Intel Corporation
+// All rights reserved.
+//
+// Contributed 2001 by the Intel Numerics Group, Intel Corporation
+//
+// Redistribution and use in source and binary forms, with or without
+// modification, are permitted provided that the following conditions are
+// met:
+//
+// * Redistributions of source code must retain the above copyright
+// notice, this list of conditions and the following disclaimer.
+//
+// * Redistributions in binary form must reproduce the above copyright
+// notice, this list of conditions and the following disclaimer in the
+// documentation and/or other materials provided with the distribution.
+//
+// * The name of Intel Corporation may not be used to endorse or promote
+// products derived from this software without specific prior written
+// permission.
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
+// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
+// OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+//
+// Intel Corporation is the author of this code, and requests that all
+// problem reports or change requests be submitted to it directly at
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
+//
+// History
+//==============================================================
+// 06/08/01 Initial version
+// 08/23/01 Corrected error tag number
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 01/28/03 Improved performance; fixed parameters for call to error routine
+//
+// API
+//==============================================================
+// float fdimf( float x, float y );
+// input  floating point f8, f9
+// output floating point f8
+//
+//
+// Overview of operation
+//==============================================================
+// fdimf determines the positive difference between the arguments
+//   Result = x - y   if x > y
+//          = +0      if x <= y
+//
+// Error support is called if x-y overflows for x > y
+//
+
+// Registers used
+//==============================================================
+// General purpose registers: r14, r32 - r39
+
+rExpBig               = r14
+
+// r36-39 parameters for libm_error_support
+GR_SAVE_B0            = r33
+GR_SAVE_GP            = r34
+GR_SAVE_PFS           = r35
+
+GR_Parameter_X        = r36
+GR_Parameter_Y        = r37
+GR_Parameter_RESULT   = r38
+GR_Parameter_TAG      = r39
+
+// Floating-point registers: f8 - f12
+
+f_tmp_result          = f10
+fBig                  = f11
+fNormX                = f12
+
+// Predicate registers: p6 - p10
+
+
+.section .text
+GLOBAL_LIBM_ENTRY(fdimf)
+
+{ .mfi
+      mov             rExpBig = 0x1007f  // Exponent to indicate overflow
+      fcmp.le.s1      p6,p7 = f8, f9     // Is x <= y?
+      nop.i           0
+}
+{ .mfi
+      nop.m           0
+      fnorm.s1        fNormX = f8        // Save x
+      nop.i           0
+}
+;;
+
+{ .mfi
+      setf.exp        fBig = rExpBig     // Constant to test for overflow
+      fcmp.eq.s0      p8,p0 = f8, f9     // Dummy op to set Denormal or Invalid
+      nop.i           0
+}
+;;
+
+{ .mfi
+      nop.m           0
+      fclass.m        p9,p10 = f8, 0x1e3 // Test for x natval, nan, inf
+      nop.i           0
+}
+;;
+
+{ .mfi
+      nop.m           0
+(p6)  fmerge.s        f8 = f0, f0        // Result is +0 if x <= y
+      nop.i           0
+}
+{ .mfi
+      nop.m           0
+(p7)  fms.s.s0        f8 = f8, f1, f9    // Result is x - y if x > y
+      nop.i           0
+}
+;;
+
+{ .mfi
+      nop.m           0
+(p10) fclass.m        p9,p10 = f9, 0x1e3 // Test for y natval, nan, inf
+      nop.i           0
+}
+;;
+
+{ .mfi
+      nop.m           0
+(p10) fcmp.ge.s1      p8,p0 = f8, fBig   // Test result for overflow
+      nop.i           0
+}
+;;
+
+{ .mbb
+(p9)  cmp.ne          p8,p0 = r0,r0      // Clear p8 if x or y natval,nan,inf
+(p8)  br.cond.spnt    FDIM_OVERFLOW      // Branch if result overflows
+      br.ret.sptk     b0                 // Normal return
+}
+;;
+
+
+// Here if result will overflow
+FDIM_OVERFLOW:
+{ .mfi
+      alloc           r32=ar.pfs,2,2,4,0
+      fms.s.s0        f_tmp_result = f8,f1,f9 // Normalize result force overflow
+      nop.i           0
+}
+{ .mfb
+      mov             GR_Parameter_TAG = 197  // Error code
+      nop.f           0
+      br.cond.sptk    __libm_error_region     // Branch to error code
+}
+;;
+
+GLOBAL_LIBM_END(fdimf)
+
+LOCAL_LIBM_ENTRY(__libm_error_region)
+// Call error support to report possible range error
+.prologue
+
+{ .mfi
+        add   GR_Parameter_Y=-32,sp            // Parameter 2 value
+        nop.f 0
+.save   ar.pfs,GR_SAVE_PFS
+        mov  GR_SAVE_PFS=ar.pfs                // Save ar.pfs
+}
+{ .mfi
+.fframe 64
+        add sp=-64,sp                          // Create new stack
+        nop.f 0
+        mov GR_SAVE_GP=gp                      // Save gp
+};;
+
+{ .mmi
+        stfs [GR_Parameter_Y] = f9,16          // STORE Parameter 2 on stack
+        add GR_Parameter_X = 16,sp             // Parameter 1 address
+.save   b0, GR_SAVE_B0
+        mov GR_SAVE_B0=b0                      // Save b0
+};;
+
+.body
+{ .mib
+        stfs [GR_Parameter_X] = fNormX         // STORE Parameter 1 on stack
+        add   GR_Parameter_RESULT = 0,GR_Parameter_Y // Parameter 3 address
+        nop.b 0
+}
+{ .mib
+        stfs [GR_Parameter_Y] = f_tmp_result   // STORE Parameter 3 on stack
+        add   GR_Parameter_Y = -16,GR_Parameter_Y
+        br.call.sptk b0=__libm_error_support#  // Call error handling function
+};;
+
+{ .mmi
+        add   GR_Parameter_RESULT = 48,sp
+        nop.m 0
+        nop.i 0
+};;
+
+{ .mmi
+        ldfs  f8 = [GR_Parameter_RESULT]       // Get return result off stack
+.restore sp
+        add   sp = 64,sp                       // Restore stack pointer
+        mov   b0 = GR_SAVE_B0                  // Restore return address
+};;
+
+{ .mib
+        mov   gp = GR_SAVE_GP                  // Restore gp
+        mov   ar.pfs = GR_SAVE_PFS             // Restore ar.pfs
+        br.ret.sptk     b0                     // Return
+};;
+
+LOCAL_LIBM_END(__libm_error_region)
+
+
+.type   __libm_error_support#,@function
+.global __libm_error_support#
+
diff --git a/sysdeps/ia64/fpu/s_fdiml.S b/sysdeps/ia64/fpu/s_fdiml.S
new file mode 100644
index 0000000000..00876c3904
--- /dev/null
+++ b/sysdeps/ia64/fpu/s_fdiml.S
@@ -0,0 +1,227 @@
+.file "fdiml.s"
+
+
+// Copyright (c) 2001 - 2003, Intel Corporation
+// All rights reserved.
+//
+// Contributed 2001 by the Intel Numerics Group, Intel Corporation
+//
+// Redistribution and use in source and binary forms, with or without
+// modification, are permitted provided that the following conditions are
+// met:
+//
+// * Redistributions of source code must retain the above copyright
+// notice, this list of conditions and the following disclaimer.
+//
+// * Redistributions in binary form must reproduce the above copyright
+// notice, this list of conditions and the following disclaimer in the
+// documentation and/or other materials provided with the distribution.
+//
+// * The name of Intel Corporation may not be used to endorse or promote
+// products derived from this software without specific prior written
+// permission.
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
+// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
+// OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+//
+// Intel Corporation is the author of this code, and requests that all
+// problem reports or change requests be submitted to it directly at
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
+//
+// History
+//==============================================================
+// 06/08/01 Initial version
+// 08/23/01 Corrected error tag number
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 01/28/03 Improved performance; fixed parameters for call to error routine
+//
+// API
+//==============================================================
+// long double fdiml( long double x, long double y );
+// input  floating point f8, f9
+// output floating point f8
+//
+//
+// Overview of operation
+//==============================================================
+// fdiml determines the positive difference between the arguments
+//   Result = x - y   if x > y
+//          = +0      if x <= y
+//
+// Error support is called if x-y overflows for x > y
+//
+
+// Registers used
+//==============================================================
+// General purpose registers: r14, r32 - r39
+
+rExpBig               = r14
+
+// r36-39 parameters for libm_error_support
+GR_SAVE_B0            = r33
+GR_SAVE_GP            = r34
+GR_SAVE_PFS           = r35
+
+GR_Parameter_X        = r36
+GR_Parameter_Y        = r37
+GR_Parameter_RESULT   = r38
+GR_Parameter_TAG      = r39
+
+// Floating-point registers: f8 - f12
+
+f_tmp_result          = f10
+fBig                  = f11
+fNormX                = f12
+
+// Predicate registers: p6 - p10
+
+
+.section .text
+GLOBAL_LIBM_ENTRY(fdiml)
+
+{ .mfi
+      mov             rExpBig = 0x13fff  // Exponent to indicate overflow
+      fcmp.le.s1      p6,p7 = f8, f9     // Is x <= y?
+      nop.i           0
+}
+{ .mfi
+      nop.m           0
+      fnorm.s1        fNormX = f8        // Save x
+      nop.i           0
+}
+;;
+
+{ .mfi
+      setf.exp        fBig = rExpBig     // Constant to test for overflow
+      fcmp.eq.s0      p8,p0 = f8, f9     // Dummy op to set Denormal or Invalid
+      nop.i           0
+}
+;;
+
+{ .mfi
+      nop.m           0
+      fclass.m        p9,p10 = f8, 0x1e3 // Test for x natval, nan, inf
+      nop.i           0
+}
+;;
+
+{ .mfi
+      nop.m           0
+(p6)  fmerge.s        f8 = f0, f0        // Result is +0 if x <= y
+      nop.i           0
+}
+{ .mfi
+      nop.m           0
+(p7)  fms.s0          f8 = f8, f1, f9    // Result is x - y if x > y
+      nop.i           0
+}
+;;
+
+{ .mfi
+      nop.m           0
+(p10) fclass.m        p9,p10 = f9, 0x1e3 // Test for y natval, nan, inf
+      nop.i           0
+}
+;;
+
+{ .mfi
+      nop.m           0
+(p10) fcmp.ge.s1      p8,p0 = f8, fBig   // Test result for overflow
+      nop.i           0
+}
+;;
+
+{ .mbb
+(p9)  cmp.ne          p8,p0 = r0,r0      // Clear p8 if x or y natval,nan,inf
+(p8)  br.cond.spnt    FDIM_OVERFLOW      // Branch if result overflows
+      br.ret.sptk     b0                 // Normal return
+}
+;;
+
+
+// Here if result will overflow
+FDIM_OVERFLOW:
+{ .mfi
+      alloc           r32=ar.pfs,2,2,4,0
+      fms.s0          f_tmp_result = f8,f1,f9 // Normalize result force overflow
+      nop.i           0
+}
+{ .mfb
+      mov             GR_Parameter_TAG = 195  // Error code
+      nop.f           0
+      br.cond.sptk    __libm_error_region     // Branch to error code
+}
+;;
+
+GLOBAL_LIBM_END(fdiml)
+
+LOCAL_LIBM_ENTRY(__libm_error_region)
+// Call error support to report possible range error
+.prologue
+
+{ .mfi
+        add   GR_Parameter_Y=-32,sp            // Parameter 2 value
+        nop.f 0
+.save   ar.pfs,GR_SAVE_PFS
+        mov  GR_SAVE_PFS=ar.pfs                // Save ar.pfs
+}
+{ .mfi
+.fframe 64
+        add sp=-64,sp                          // Create new stack
+        nop.f 0
+        mov GR_SAVE_GP=gp                      // Save gp
+};;
+
+{ .mmi
+        stfe [GR_Parameter_Y] = f9,16          // STORE Parameter 2 on stack
+        add GR_Parameter_X = 16,sp             // Parameter 1 address
+.save   b0, GR_SAVE_B0
+        mov GR_SAVE_B0=b0                      // Save b0
+};;
+
+.body
+{ .mib
+        stfe [GR_Parameter_X] = fNormX         // STORE Parameter 1 on stack
+        add   GR_Parameter_RESULT = 0,GR_Parameter_Y // Parameter 3 address
+        nop.b 0
+}
+{ .mib
+        stfe [GR_Parameter_Y] = f_tmp_result   // STORE Parameter 3 on stack
+        add   GR_Parameter_Y = -16,GR_Parameter_Y
+        br.call.sptk b0=__libm_error_support#  // Call error handling function
+};;
+
+{ .mmi
+        add   GR_Parameter_RESULT = 48,sp
+        nop.m 0
+        nop.i 0
+};;
+
+{ .mmi
+        ldfe  f8 = [GR_Parameter_RESULT]       // Get return result off stack
+.restore sp
+        add   sp = 64,sp                       // Restore stack pointer
+        mov   b0 = GR_SAVE_B0                  // Restore return address
+};;
+
+{ .mib
+        mov   gp = GR_SAVE_GP                  // Restore gp
+        mov   ar.pfs = GR_SAVE_PFS             // Restore ar.pfs
+        br.ret.sptk     b0                     // Return
+};;
+
+LOCAL_LIBM_END(__libm_error_region)
+
+
+.type   __libm_error_support#,@function
+.global __libm_error_support#
+
diff --git a/sysdeps/ia64/fpu/s_floor.S b/sysdeps/ia64/fpu/s_floor.S
index 438b0fa867..9ed9d6dcdb 100644
--- a/sysdeps/ia64/fpu/s_floor.S
+++ b/sysdeps/ia64/fpu/s_floor.S
@@ -1,10 +1,10 @@
 .file "floor.s"
 
-// Copyright (C) 2000, 2001, Intel Corporation
+
+// Copyright (c) 2000 - 2003, Intel Corporation
 // All rights reserved.
-// 
-// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story,
-// and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
 //
 // Redistribution and use in source and binary forms, with or without
 // modification, are permitted provided that the following conditions are
@@ -20,86 +20,68 @@
 // * The name of Intel Corporation may not be used to endorse or promote
 // products derived from this software without specific prior written
 // permission.
-//
-// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
-// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
-// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS 
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
 // CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
-// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, 
-// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 
-// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY 
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
 // OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
-// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 
-// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 
-// 
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+//
 // Intel Corporation is the author of this code, and requests that all
-// problem reports or change requests be submitted to it directly at 
-// http://developer.intel.com/opensource.
+// problem reports or change requests be submitted to it directly at
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
 //
-.align 32
-.global floor#
-
-.section .text
-.proc  floor#
-.align 32
-
 // History
 //==============================================================
-// 2/02/00: Initial version
-// 3/22/00: Updated to improve performance 
-// 6/13/00: Improved speed, fixed setting of inexact flag
-// 6/27/00: Eliminated incorrect invalid flag setting
-// 2/07/01: Corrected sign of zero result in round to -inf mode
+// 02/02/00 Initial version
+// 03/22/00 Updated to improve performance
+// 06/13/00 Improved speed, fixed setting of inexact flag
+// 06/27/00 Eliminated incorrect invalid flag setting
+// 02/07/01 Corrected sign of zero result in round to -inf mode
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 01/28/03 Improved performance
+//==============================================================
 
 // API
 //==============================================================
 // double floor(double x)
+//==============================================================
 
-// general input registers:  
-
-floor_GR_FFFF      = r14
-floor_GR_signexp   = r15
-floor_GR_exponent  = r16
-floor_GR_expmask   = r17
-floor_GR_bigexp    = r18
-
-
-// predicate registers used: 
+// general input registers:
+// r14 - r18
 
-// p6  ==> Input is NaN, infinity, zero
-// p7  ==> Input is denormal
-// p8  ==> Input is <0
-// p9  ==> Input is >=0
-// p10 ==> Input is already an integer (bigger than largest integer)
-// p11 ==> Input is not a large integer
-// p12 ==> Input is a smaller integer
-// p13 ==> Input is not an even integer, so inexact must be set
+rSignexp   = r14
+rExp       = r15
+rExpMask   = r16
+rBigexp    = r17
+rM1        = r18
 
+// floating-point registers:
+// f8 - f13
 
-// floating-point registers used: 
+fXInt      = f9
+fNormX     = f10
+fTmp       = f11
+fAdj       = f12
+fPreResult = f13
 
-FLOOR_NORM_f8      = f9                        
-FLOOR_FFFF         = f10 
-FLOOR_INEXACT      = f11 
-FLOOR_FLOAT_INT_f8 = f12
-FLOOR_INT_f8       = f13
-FLOOR_adj          = f14
+// predicate registers used:
+// p6 - p9
 
 // Overview of operation
 //==============================================================
-
 // double floor(double x)
-// Return an integer value (represented as a double) that is the largest 
+// Return an integer value (represented as a double) that is the largest
 // value not greater than x
 // This is x rounded toward -infinity to an integral value.
 // Inexact is set if x != floor(x)
-// **************************************************************************
-
-// Set denormal flag for denormal input and
-// and take denormal fault if necessary.
-
-// Is the input an integer value already?
+//==============================================================
 
 // double_extended
 // if the exponent is > 1003e => 3F(true) = 63(decimal)
@@ -120,121 +102,115 @@ FLOOR_adj          = f14
 // If we multiply by 2^23, we no longer have a fractional part
 // So input is an integer value already.
 
-// If x is NAN, ZERO, or INFINITY, then  return
-
-// qnan snan inf norm     unorm 0 -+
-// 1    1    1   0        0     1 11     0xe7
-
-#include "libm_support.h"
 
-floor:
-#ifdef _LIBC
-.global __floor
-__floor:
-#endif
+.section .text
+GLOBAL_IEEE754_ENTRY(floor)
 
 { .mfi
-      getf.exp floor_GR_signexp  = f8
-      fcvt.fx.trunc.s1     FLOOR_INT_f8  = f8
-      addl        floor_GR_bigexp = 0x10033, r0
+      getf.exp         rSignexp  = f8        // Get signexp, recompute if unorm
+      fclass.m         p7,p0 = f8, 0x0b      // Test x unorm
+      addl             rBigexp = 0x10033, r0 // Set exponent at which is integer
 }
 { .mfi
-      addl        floor_GR_FFFF      = -1,r0
-      fcmp.lt.s1  p8,p9 = f8,f0
-      mov         floor_GR_expmask    = 0x1FFFF ;;
+      mov              rM1 = -1              // Set all ones
+      fcvt.fx.trunc.s1 fXInt  = f8           // Convert to int in significand
+      mov              rExpMask    = 0x1FFFF // Form exponent mask
 }
+;;
 
-// p7 ==> denorm
 { .mfi
-      setf.sig    FLOOR_FFFF  = floor_GR_FFFF
-      fclass.m    p7,p0 = f8, 0x0b
-      nop.i 999
+      nop.m            0
+      fcmp.lt.s1       p8,p9 = f8, f0        // Test x < 0
+      nop.i            0
 }
-{ .mfi
-      nop.m 999
-      fnorm.s1           FLOOR_NORM_f8  = f8
-      nop.i 999 ;;
+{ .mfb
+      setf.sig         fTmp = rM1            // Make const for setting inexact
+      fnorm.s1         fNormX  = f8          // Normalize input
+(p7)  br.cond.spnt     FLOOR_UNORM           // Branch if x unorm
 }
+;;
 
-// p6 ==> NAN, INF, ZERO
-{ .mfb
-      nop.m 999
-      fclass.m      p6,p10 = f8, 0xe7
-(p7)  br.cond.spnt  L(FLOOR_DENORM) ;;
+FLOOR_COMMON:
+// Return here from FLOOR_UNORM
+{ .mfi
+      nop.m            0
+      fclass.m         p6,p0 = f8, 0x1e7     // Test x natval, nan, inf, 0
+      nop.i            0
 }
+;;
 
-L(FLOOR_COMMON):
 .pred.rel "mutex",p8,p9
-// Set adjustment to subtract from trunc(x) for result
-//   If x<0,  adjustment is -1.0
-//   If x>=0, adjustment is 0.0
 { .mfi
-      and      floor_GR_exponent = floor_GR_signexp, floor_GR_expmask
-(p8)  fnma.s1  FLOOR_adj = f1,f1,f0
-      nop.i 999
+      nop.m            0
+(p8)  fnma.s1          fAdj = f1, f1, f0     // If x < 0, adjustment is -1
+      nop.i            0
 }
 { .mfi
-      nop.m 999
-(p9)  fadd.s1  FLOOR_adj = f0,f0
-      nop.i 999 ;;
+      nop.m            0
+(p9)  fma.s1           fAdj = f0, f0, f0     // If x > 0, adjustment is 0
+      nop.i            0
 }
+;;
 
 { .mfi
-      nop.m 999
-      fcmp.eq.s0  p12,p0 = f8,f0 // Dummy op to set denormal and invalid flag
-      nop.i 999
+      nop.m            0
+      fcvt.xf          fPreResult = fXInt    // trunc(x)
+      nop.i            0
 }
-{ .mfi
-(p10) cmp.ge.unc    p10,p11 = floor_GR_exponent, floor_GR_bigexp
-(p6)  fnorm.d f8 = f8
-      nop.i 999 ;;
+{ .mfb
+      nop.m            0
+(p6)  fma.d.s0         f8 = f8, f1, f0       // Result if x natval, nan, inf, 0
+(p6)  br.ret.spnt      b0                    // Exit if x natval, nan, inf, 0
 }
+;;
 
-{ .mfi
-      nop.m 999
-(p11) fcvt.xf         FLOOR_FLOAT_INT_f8   = FLOOR_INT_f8
-      nop.i 999 ;;
+{ .mmi
+      and              rExp = rSignexp, rExpMask // Get biased exponent
+;;
+      cmp.ge           p7,p6 = rExp, rBigexp  // Is |x| >= 2^52?
+      nop.i            0
 }
+;;
 
 { .mfi
-      nop.m 999
-(p10) fnorm.d f8 = FLOOR_NORM_f8
-      nop.i 999 ;;
+      nop.m            0
+(p6)  fma.d.s0         f8 = fPreResult, f1, fAdj // Result if !int, |x| < 2^52
+      nop.i            0
 }
-
-
 { .mfi
-      nop.m 999
-(p11) fadd.d   f8 = FLOOR_FLOAT_INT_f8,FLOOR_adj
-      nop.i 999 ;;
+      nop.m            0
+(p7)  fma.d.s0         f8 = fNormX, f1, f0    // Result, if |x| >= 2^52
+      nop.i            0
 }
+;;
 
 { .mfi
-      nop.m 999
-(p11) fcmp.eq.unc.s1  p12,p13  = FLOOR_FLOAT_INT_f8, FLOOR_NORM_f8
-      nop.i 999 ;;
+      nop.m            0
+(p6)  fcmp.eq.unc.s1   p8, p9 = fPreResult, fNormX // Is trunc(x) = x ?
+      nop.i            0
 }
+;;
 
-// Set inexact if result not equal to input
 { .mfi
-      nop.m 999
-(p13) fmpy.s0     FLOOR_INEXACT = FLOOR_FFFF,FLOOR_FFFF
-      nop.i 999
+      nop.m            0
+(p9)  fmpy.s0          fTmp = fTmp, fTmp      // Dummy to set inexact
+      nop.i            0
 }
-// Set result to input if integer
 { .mfb
-      nop.m 999
-(p12) fnorm.d f8 = FLOOR_NORM_f8
-      br.ret.sptk    b0 ;;
+      nop.m            0
+(p8)  fma.d.s0         f8 = fNormX, f1, f0    // If x int, result normalized x
+      br.ret.sptk      b0                     // Exit main path, 0 < |x| < 2^52
 }
+;;
+
 
-// Here if input denorm
-L(FLOOR_DENORM):
+FLOOR_UNORM:
+// Here if x unorm
 { .mfb
-      getf.exp floor_GR_signexp  = FLOOR_NORM_f8
-      fcvt.fx.trunc.s1     FLOOR_INT_f8  = FLOOR_NORM_f8
-      br.cond.sptk  L(FLOOR_COMMON) ;;
+      getf.exp         rSignexp  = fNormX     // Get signexp, recompute if unorm
+      fcmp.eq.s0       p7,p0 = f8, f0         // Dummy op to set denormal flag
+      br.cond.sptk     FLOOR_COMMON           // Return to main path
 }
+;;
 
-.endp floor
-ASM_SIZE_DIRECTIVE(floor)
+GLOBAL_IEEE754_END(floor)
diff --git a/sysdeps/ia64/fpu/s_floorf.S b/sysdeps/ia64/fpu/s_floorf.S
index 15b2bbd31d..a3f2095931 100644
--- a/sysdeps/ia64/fpu/s_floorf.S
+++ b/sysdeps/ia64/fpu/s_floorf.S
@@ -1,10 +1,10 @@
 .file "floorf.s"
 
-// Copyright (C) 2000, 2001, Intel Corporation
+
+// Copyright (c) 2000 - 2003, Intel Corporation
 // All rights reserved.
-// 
-// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story,
-// and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
 //
 // Redistribution and use in source and binary forms, with or without
 // modification, are permitted provided that the following conditions are
@@ -20,85 +20,67 @@
 // * The name of Intel Corporation may not be used to endorse or promote
 // products derived from this software without specific prior written
 // permission.
-//
-// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
-// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
-// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS 
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
 // CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
-// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, 
-// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 
-// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY 
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
 // OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
-// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 
-// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 
-// 
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+//
 // Intel Corporation is the author of this code, and requests that all
-// problem reports or change requests be submitted to it directly at 
-// http://developer.intel.com/opensource.
+// problem reports or change requests be submitted to it directly at
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
 //
-.align 32
-.global floorf#
-
-.section .text
-.proc  floorf#
-.align 32
-
 // History
 //==============================================================
-// 2/02/00: Initial version
-// 6/13/00: Improved speed
-// 6/27/00: Eliminated incorrect invalid flag setting
-// 2/07/01: Corrected sign of zero result in round to -inf mode
+// 02/02/00 Initial version
+// 06/13/00 Improved speed
+// 06/27/00 Eliminated incorrect invalid flag setting
+// 02/07/01 Corrected sign of zero result in round to -inf mode
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 01/28/03 Improved performance
+//==============================================================
 
 // API
 //==============================================================
 // float floorf(float x)
+//==============================================================
 
-// general input registers:  
-
-floor_GR_FFFF      = r14
-floor_GR_signexp   = r15
-floor_GR_exponent  = r16
-floor_GR_expmask   = r17
-floor_GR_bigexp    = r18
-
-
-// predicate registers used: 
+// general input registers:
+// r14 - r18
 
-// p6  ==> Input is NaN, infinity, zero
-// p7  ==> Input is denormal
-// p8  ==> Input is <0
-// p9  ==> Input is >=0
-// p10 ==> Input is already an integer (bigger than largest integer)
-// p11 ==> Input is not a large integer
-// p12 ==> Input is a smaller integer
-// p13 ==> Input is not an even integer, so inexact must be set
+rSignexp   = r14
+rExp       = r15
+rExpMask   = r16
+rBigexp    = r17
+rM1        = r18
 
+// floating-point registers:
+// f8 - f13
 
-// floating-point registers used: 
+fXInt      = f9
+fNormX     = f10
+fTmp       = f11
+fAdj       = f12
+fPreResult = f13
 
-FLOOR_NORM_f8      = f9                        
-FLOOR_FFFF         = f10 
-FLOOR_INEXACT      = f11 
-FLOOR_FLOAT_INT_f8 = f12
-FLOOR_INT_f8       = f13
-FLOOR_adj          = f14
+// predicate registers used:
+// p6 - p9
 
 // Overview of operation
 //==============================================================
-
 // float floorf(float x)
-// Return an integer value (represented as a float) that is the largest 
+// Return an integer value (represented as a float) that is the largest
 // value not greater than x
 // This is x rounded toward -infinity to an integral value.
 // Inexact is set if x != floorf(x)
-// **************************************************************************
-
-// Set denormal flag for denormal input and
-// and take denormal fault if necessary.
-
-// Is the input an integer value already?
+//==============================================================
 
 // double_extended
 // if the exponent is > 1003e => 3F(true) = 63(decimal)
@@ -119,119 +101,115 @@ FLOOR_adj          = f14
 // If we multiply by 2^23, we no longer have a fractional part
 // So input is an integer value already.
 
-// If x is NAN, ZERO, or INFINITY, then  return
-
-// qnan snan inf norm     unorm 0 -+
-// 1    1    1   0        0     1 11     0xe7
-
-#include "libm_support.h"
 
-floorf:
-#ifdef _LIBC
-.global __floorf
-__floorf:
-#endif
+.section .text
+GLOBAL_IEEE754_ENTRY(floorf)
 
 { .mfi
-      getf.exp floor_GR_signexp  = f8
-      fcvt.fx.trunc.s1     FLOOR_INT_f8  = f8
-      addl        floor_GR_bigexp = 0x10016, r0
+      getf.exp         rSignexp  = f8        // Get signexp, recompute if unorm
+      fclass.m         p7,p0 = f8, 0x0b      // Test x unorm
+      addl             rBigexp = 0x10016, r0 // Set exponent at which is integer
 }
 { .mfi
-      addl        floor_GR_FFFF      = -1,r0
-      fcmp.lt.s1  p8,p9 = f8,f0
-      mov         floor_GR_expmask    = 0x1FFFF ;;
+      mov              rM1 = -1              // Set all ones
+      fcvt.fx.trunc.s1 fXInt  = f8           // Convert to int in significand
+      mov              rExpMask    = 0x1FFFF // Form exponent mask
 }
+;;
 
-// p7 ==> denorm
 { .mfi
-      setf.sig    FLOOR_FFFF  = floor_GR_FFFF
-      fclass.m    p7,p0 = f8, 0x0b
-      nop.i 999
+      nop.m            0
+      fcmp.lt.s1       p8,p9 = f8, f0        // Test x < 0
+      nop.i            0
 }
-{ .mfi
-      nop.m 999
-      fnorm.s1           FLOOR_NORM_f8  = f8
-      nop.i 999 ;;
+{ .mfb
+      setf.sig         fTmp = rM1            // Make const for setting inexact
+      fnorm.s1         fNormX  = f8          // Normalize input
+(p7)  br.cond.spnt     FLOOR_UNORM           // Branch if x unorm
 }
+;;
 
-// p6 ==> NAN, INF, ZERO
-{ .mfb
-      nop.m 999
-      fclass.m      p6,p10 = f8, 0xe7
-(p7)  br.cond.spnt  L(FLOOR_DENORM) ;;
+FLOOR_COMMON:
+// Return here from FLOOR_UNORM
+{ .mfi
+      nop.m            0
+      fclass.m         p6,p0 = f8, 0x1e7     // Test x natval, nan, inf, 0
+      nop.i            0
 }
+;;
 
-L(FLOOR_COMMON):
 .pred.rel "mutex",p8,p9
-// Set adjustment to subtract from trunc(x) for result
-//   If x<0,  adjustment is -1.0
-//   If x>=0, adjustment is 0.0
 { .mfi
-      and      floor_GR_exponent = floor_GR_signexp, floor_GR_expmask
-(p8)  fnma.s1  FLOOR_adj = f1,f1,f0
-      nop.i 999
+      nop.m            0
+(p8)  fnma.s1          fAdj = f1, f1, f0     // If x < 0, adjustment is -1
+      nop.i            0
 }
 { .mfi
-      nop.m 999
-(p9)  fadd.s1  FLOOR_adj = f0,f0
-      nop.i 999 ;;
+      nop.m            0
+(p9)  fma.s1           fAdj = f0, f0, f0     // If x > 0, adjustment is 0
+      nop.i            0
 }
+;;
 
 { .mfi
-      nop.m 999
-      fcmp.eq.s0  p12,p0 = f8,f0 // Dummy op to set denormal and invalid flag
-      nop.i 999
+      nop.m            0
+      fcvt.xf          fPreResult = fXInt    // trunc(x)
+      nop.i            0
 }
-{ .mfi
-(p10) cmp.ge.unc    p10,p11 = floor_GR_exponent, floor_GR_bigexp
-(p6)  fnorm.s f8 = f8
-      nop.i 999 ;;
+{ .mfb
+      nop.m            0
+(p6)  fma.s.s0         f8 = f8, f1, f0       // Result if x natval, nan, inf, 0
+(p6)  br.ret.spnt      b0                    // Exit if x natval, nan, inf, 0
 }
+;;
 
-{ .mfi
-      nop.m 999
-(p11) fcvt.xf         FLOOR_FLOAT_INT_f8   = FLOOR_INT_f8
-      nop.i 999 ;;
+{ .mmi
+      and              rExp = rSignexp, rExpMask // Get biased exponent
+;;
+      cmp.ge           p7,p6 = rExp, rBigexp  // Is |x| >= 2^23?
+      nop.i            0
 }
+;;
 
 { .mfi
-      nop.m 999
-(p10) fnorm.s f8 = FLOOR_NORM_f8
-      nop.i 999 ;;
+      nop.m            0
+(p6)  fma.s.s0         f8 = fPreResult, f1, fAdj // Result if !int, |x| < 2^23
+      nop.i            0
 }
-
 { .mfi
-      nop.m 999
-(p11) fadd.s   f8 = FLOOR_FLOAT_INT_f8,FLOOR_adj
-      nop.i 999 ;;
+      nop.m            0
+(p7)  fma.s.s0         f8 = fNormX, f1, f0    // Result, if |x| >= 2^23
+      nop.i            0
 }
+;;
+
 { .mfi
-      nop.m 999
-(p11) fcmp.eq.unc.s1  p12,p13  = FLOOR_FLOAT_INT_f8, FLOOR_NORM_f8
-      nop.i 999 ;;
+      nop.m            0
+(p6)  fcmp.eq.unc.s1   p8, p9 = fPreResult, fNormX // Is trunc(x) = x ?
+      nop.i            0
 }
+;;
 
-// Set inexact if result not equal to input
 { .mfi
-      nop.m 999
-(p13) fmpy.s0     FLOOR_INEXACT = FLOOR_FFFF,FLOOR_FFFF
-      nop.i 999
+      nop.m            0
+(p9)  fmpy.s0          fTmp = fTmp, fTmp      // Dummy to set inexact
+      nop.i            0
 }
-// Set result to input if integer
 { .mfb
-      nop.m 999
-(p12) fnorm.s f8 = FLOOR_NORM_f8
-      br.ret.sptk    b0 ;;
+      nop.m            0
+(p8)  fma.s.s0         f8 = fNormX, f1, f0    // If x int, result normalized x
+      br.ret.sptk      b0                     // Exit main path, 0 < |x| < 2^23
 }
+;;
+
 
-// Here if input denorm
-L(FLOOR_DENORM):
+FLOOR_UNORM:
+// Here if x unorm
 { .mfb
-      getf.exp floor_GR_signexp  = FLOOR_NORM_f8
-      fcvt.fx.trunc.s1     FLOOR_INT_f8  = FLOOR_NORM_f8
-      br.cond.sptk  L(FLOOR_COMMON) ;;
+      getf.exp         rSignexp  = fNormX     // Get signexp, recompute if unorm
+      fcmp.eq.s0       p7,p0 = f8, f0         // Dummy op to set denormal flag
+      br.cond.sptk     FLOOR_COMMON           // Return to main path
 }
+;;
 
-.endp floorf
-ASM_SIZE_DIRECTIVE(floorf)
+GLOBAL_IEEE754_END(floorf)
diff --git a/sysdeps/ia64/fpu/s_floorl.S b/sysdeps/ia64/fpu/s_floorl.S
index 294578e1a7..345c4f30dd 100644
--- a/sysdeps/ia64/fpu/s_floorl.S
+++ b/sysdeps/ia64/fpu/s_floorl.S
@@ -1,10 +1,10 @@
 .file "floorl.s"
 
-// Copyright (C) 2000, 2001, Intel Corporation
+
+// Copyright (c) 2000 - 2003, Intel Corporation
 // All rights reserved.
-// 
-// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story,
-// and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
 //
 // Redistribution and use in source and binary forms, with or without
 // modification, are permitted provided that the following conditions are
@@ -20,85 +20,67 @@
 // * The name of Intel Corporation may not be used to endorse or promote
 // products derived from this software without specific prior written
 // permission.
-//
-// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
-// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
-// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS 
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
 // CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
-// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, 
-// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 
-// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY 
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
 // OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
-// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 
-// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 
-// 
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+//
 // Intel Corporation is the author of this code, and requests that all
-// problem reports or change requests be submitted to it directly at 
-// http://developer.intel.com/opensource.
+// problem reports or change requests be submitted to it directly at
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
 //
-.align 32
-.global floorl#
-
-.section .text
-.proc  floorl#
-.align 32
-
 // History
 //==============================================================
-// 2/02/00: Initial version
-// 6/13/00: Improved speed
-// 6/27/00: Eliminated incorrect invalid flag setting
-// 2/07/01: Corrected sign of zero result in round to -inf mode
+// 02/02/00 Initial version
+// 06/13/00 Improved speed
+// 06/27/00 Eliminated incorrect invalid flag setting
+// 02/07/01 Corrected sign of zero result in round to -inf mode
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 01/28/03 Improved performance
+//==============================================================
 
 // API
 //==============================================================
 // long double floorl(long double x)
+//==============================================================
 
-// general input registers:  
-
-floor_GR_FFFF      = r14
-floor_GR_signexp   = r15
-floor_GR_exponent  = r16
-floor_GR_expmask   = r17
-floor_GR_bigexp    = r18
-
-
-// predicate registers used: 
+// general input registers:
+// r14 - r18
 
-// p6  ==> Input is NaN, infinity, zero
-// p7  ==> Input is denormal
-// p8  ==> Input is <0
-// p9  ==> Input is >=0
-// p10 ==> Input is already an integer (bigger than largest integer)
-// p11 ==> Input is not a large integer
-// p12 ==> Input is a smaller integer
-// p13 ==> Input is not an even integer, so inexact must be set
+rSignexp   = r14
+rExp       = r15
+rExpMask   = r16
+rBigexp    = r17
+rM1        = r18
 
+// floating-point registers:
+// f8 - f13
 
-// floating-point registers used: 
+fXInt      = f9
+fNormX     = f10
+fTmp       = f11
+fAdj       = f12
+fPreResult = f13
 
-FLOOR_NORM_f8      = f9                        
-FLOOR_FFFF         = f10 
-FLOOR_INEXACT      = f11 
-FLOOR_FLOAT_INT_f8 = f12
-FLOOR_INT_f8       = f13
-FLOOR_adj          = f14
+// predicate registers used:
+// p6 - p9
 
 // Overview of operation
 //==============================================================
-
 // long double floorl(long double x)
-// Return an integer value (represented as a long double) that is the largest 
+// Return an integer value (represented as a long double) that is the largest
 // value not greater than x
 // This is x rounded toward -infinity to an integral value.
 // Inexact is set if x != floorl(x)
-// **************************************************************************
-
-// Set denormal flag for denormal input and
-// and take denormal fault if necessary.
-
-// Is the input an integer value already?
+//==============================================================
 
 // double_extended
 // if the exponent is > 1003e => 3F(true) = 63(decimal)
@@ -119,119 +101,115 @@ FLOOR_adj          = f14
 // If we multiply by 2^23, we no longer have a fractional part
 // So input is an integer value already.
 
-// If x is NAN, ZERO, or INFINITY, then  return
-
-// qnan snan inf norm     unorm 0 -+
-// 1    1    1   0        0     1 11     0xe7
-
-#include "libm_support.h"
 
-floorl:
-#ifdef _LIBC
-.global __floorl
-__floorl:
-#endif
+.section .text
+GLOBAL_IEEE754_ENTRY(floorl)
 
 { .mfi
-      getf.exp floor_GR_signexp  = f8
-      fcvt.fx.trunc.s1     FLOOR_INT_f8  = f8
-      addl        floor_GR_bigexp = 0x1003e, r0
+      getf.exp         rSignexp  = f8        // Get signexp, recompute if unorm
+      fclass.m         p7,p0 = f8, 0x0b      // Test x unorm
+      addl             rBigexp = 0x1003e, r0 // Set exponent at which is integer
 }
 { .mfi
-      addl        floor_GR_FFFF      = -1,r0
-      fcmp.lt.s1  p8,p9 = f8,f0
-      mov         floor_GR_expmask    = 0x1FFFF ;;
+      mov              rM1 = -1              // Set all ones
+      fcvt.fx.trunc.s1 fXInt  = f8           // Convert to int in significand
+      mov              rExpMask    = 0x1FFFF // Form exponent mask
 }
+;;
 
-// p7 ==> denorm
 { .mfi
-      setf.sig    FLOOR_FFFF  = floor_GR_FFFF
-      fclass.m    p7,p0 = f8, 0x0b
-      nop.i 999
+      nop.m            0
+      fcmp.lt.s1       p8,p9 = f8, f0        // Test x < 0
+      nop.i            0
 }
-{ .mfi
-      nop.m 999
-      fnorm.s1           FLOOR_NORM_f8  = f8
-      nop.i 999 ;;
+{ .mfb
+      setf.sig         fTmp = rM1            // Make const for setting inexact
+      fnorm.s1         fNormX  = f8          // Normalize input
+(p7)  br.cond.spnt     FLOOR_UNORM           // Branch if x unorm
 }
+;;
 
-// p6 ==> NAN, INF, ZERO
-{ .mfb
-      nop.m 999
-      fclass.m      p6,p10 = f8, 0xe7
-(p7)  br.cond.spnt  L(FLOOR_DENORM) ;;
+FLOOR_COMMON:
+// Return here from FLOOR_UNORM
+{ .mfi
+      nop.m            0
+      fclass.m         p6,p0 = f8, 0x1e7     // Test x natval, nan, inf, 0
+      nop.i            0
 }
+;;
 
-L(FLOOR_COMMON):
 .pred.rel "mutex",p8,p9
-// Set adjustment to subtract from trunc(x) for result
-//   If x<0,  adjustment is -1.0
-//   If x>=0, adjustment is 0.0
 { .mfi
-      and      floor_GR_exponent = floor_GR_signexp, floor_GR_expmask
-(p8)  fnma.s1  FLOOR_adj = f1,f1,f0
-      nop.i 999
+      nop.m            0
+(p8)  fnma.s1          fAdj = f1, f1, f0     // If x < 0, adjustment is -1
+      nop.i            0
 }
 { .mfi
-      nop.m 999
-(p9)  fadd.s1  FLOOR_adj = f0,f0
-      nop.i 999 ;;
+      nop.m            0
+(p9)  fma.s1           fAdj = f0, f0, f0     // If x > 0, adjustment is 0
+      nop.i            0
 }
+;;
 
 { .mfi
-      nop.m 999
-      fcmp.eq.s0  p12,p0 = f8,f0 // Dummy op to set denormal and invalid flag
-      nop.i 999
+      nop.m            0
+      fcvt.xf          fPreResult = fXInt    // trunc(x)
+      nop.i            0
 }
-{ .mfi
-(p10) cmp.ge.unc    p10,p11 = floor_GR_exponent, floor_GR_bigexp
-(p6)  fnorm   f8 = f8
-      nop.i 999 ;;
+{ .mfb
+      nop.m            0
+(p6)  fma.s0           f8 = f8, f1, f0       // Result if x natval, nan, inf, 0
+(p6)  br.ret.spnt      b0                    // Exit if x natval, nan, inf, 0
 }
+;;
 
-{ .mfi
-      nop.m 999
-(p11) fcvt.xf         FLOOR_FLOAT_INT_f8   = FLOOR_INT_f8
-      nop.i 999 ;;
+{ .mmi
+      and              rExp = rSignexp, rExpMask // Get biased exponent
+;;
+      cmp.ge           p7,p6 = rExp, rBigexp  // Is |x| >= 2^63?
+      nop.i            0
 }
+;;
 
 { .mfi
-      nop.m 999
-(p10) fnorm   f8 = FLOOR_NORM_f8
-      nop.i 999 ;;
+      nop.m            0
+(p6)  fma.s0           f8 = fPreResult, f1, fAdj // Result if !int, |x| < 2^63
+      nop.i            0
 }
-
 { .mfi
-      nop.m 999
-(p11) fadd     f8 = FLOOR_FLOAT_INT_f8,FLOOR_adj
-      nop.i 999 ;;
+      nop.m            0
+(p7)  fma.s0           f8 = fNormX, f1, f0    // Result, if |x| >= 2^63
+      nop.i            0
 }
+;;
+
 { .mfi
-      nop.m 999
-(p11) fcmp.eq.unc.s1  p12,p13  = FLOOR_FLOAT_INT_f8, FLOOR_NORM_f8
-      nop.i 999 ;;
+      nop.m            0
+(p6)  fcmp.eq.unc.s1   p8, p9 = fPreResult, fNormX // Is trunc(x) = x ?
+      nop.i            0
 }
+;;
 
-// Set inexact if result not equal to input
 { .mfi
-      nop.m 999
-(p13) fmpy.s0     FLOOR_INEXACT = FLOOR_FFFF,FLOOR_FFFF
-      nop.i 999
+      nop.m            0
+(p9)  fmpy.s0          fTmp = fTmp, fTmp      // Dummy to set inexact
+      nop.i            0
 }
-// Set result to input if integer
 { .mfb
-      nop.m 999
-(p12) fnorm   f8 = FLOOR_NORM_f8
-      br.ret.sptk    b0 ;;
+      nop.m            0
+(p8)  fma.s0           f8 = fNormX, f1, f0    // If x int, result normalized x
+      br.ret.sptk      b0                     // Exit main path, 0 < |x| < 2^63
 }
+;;
+
 
-// Here if input denorm
-L(FLOOR_DENORM):
+FLOOR_UNORM:
+// Here if x unorm
 { .mfb
-      getf.exp floor_GR_signexp  = FLOOR_NORM_f8
-      fcvt.fx.trunc.s1     FLOOR_INT_f8  = FLOOR_NORM_f8
-      br.cond.sptk  L(FLOOR_COMMON) ;;
+      getf.exp         rSignexp  = fNormX     // Get signexp, recompute if unorm
+      fcmp.eq.s0       p7,p0 = f8, f0         // Dummy op to set denormal flag
+      br.cond.sptk     FLOOR_COMMON           // Return to main path
 }
+;;
 
-.endp floorl
-ASM_SIZE_DIRECTIVE(floorl)
+GLOBAL_IEEE754_END(floorl)
diff --git a/sysdeps/ia64/fpu/s_fma.S b/sysdeps/ia64/fpu/s_fma.S
new file mode 100644
index 0000000000..7798790d50
--- /dev/null
+++ b/sysdeps/ia64/fpu/s_fma.S
@@ -0,0 +1,71 @@
+.file "fma.s"
+
+
+// Copyright (c) 2001 - 2003, Intel Corporation
+// All rights reserved.
+//
+// Contributed 2001 by the Intel Numerics Group, Intel Corporation
+//
+// Redistribution and use in source and binary forms, with or without
+// modification, are permitted provided that the following conditions are
+// met:
+//
+// * Redistributions of source code must retain the above copyright
+// notice, this list of conditions and the following disclaimer.
+//
+// * Redistributions in binary form must reproduce the above copyright
+// notice, this list of conditions and the following disclaimer in the
+// documentation and/or other materials provided with the distribution.
+//
+// * The name of Intel Corporation may not be used to endorse or promote
+// products derived from this software without specific prior written
+// permission.
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
+// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS 
+// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, 
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY 
+// OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 
+// 
+// Intel Corporation is the author of this code, and requests that all
+// problem reports or change requests be submitted to it directly at 
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
+//
+// History
+//==============================================================
+// 06/07/01 Initial version 
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 02/10/03 Reordered header: .section, .global, .proc, .align
+//
+// API
+//==============================================================
+// double fma  (double x, double y, double z)
+//
+// Overview of operation
+//==============================================================
+// returns x * y + z with one rounding error
+
+// All the special cases are handled by the fma instruction itself
+
+// floating-point registers used: 3
+// f8,  input x, output
+// f9,  input y
+// f10, input z
+
+.section .text
+GLOBAL_LIBM_ENTRY(fma)
+
+{ .mfb
+      nop.m 999
+      fma.d.s0  f8 = f8, f9, f10  // Result = x * y + z
+      br.ret.sptk    b0           
+}
+;;
+
+GLOBAL_LIBM_END(fma)
diff --git a/sysdeps/ia64/fpu/s_fmaf.S b/sysdeps/ia64/fpu/s_fmaf.S
new file mode 100644
index 0000000000..db112b2a6c
--- /dev/null
+++ b/sysdeps/ia64/fpu/s_fmaf.S
@@ -0,0 +1,71 @@
+.file "fmaf.s"
+
+
+// Copyright (c) 2001 - 2003, Intel Corporation
+// All rights reserved.
+//
+// Contributed 2001 by the Intel Numerics Group, Intel Corporation
+//
+// Redistribution and use in source and binary forms, with or without
+// modification, are permitted provided that the following conditions are
+// met:
+//
+// * Redistributions of source code must retain the above copyright
+// notice, this list of conditions and the following disclaimer.
+//
+// * Redistributions in binary form must reproduce the above copyright
+// notice, this list of conditions and the following disclaimer in the
+// documentation and/or other materials provided with the distribution.
+//
+// * The name of Intel Corporation may not be used to endorse or promote
+// products derived from this software without specific prior written
+// permission.
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
+// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS 
+// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, 
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY 
+// OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 
+// 
+// Intel Corporation is the author of this code, and requests that all
+// problem reports or change requests be submitted to it directly at 
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
+//
+// History
+//==============================================================
+// 06/07/01 Initial version 
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 02/10/03 Reordered header: .section, .global, .proc, .align
+//
+// API
+//==============================================================
+// float fmaf  (float x, float y, float z)
+//
+// Overview of operation
+//==============================================================
+// returns x * y + z with one rounding error
+
+// All the special cases are handled by the fma instruction itself
+
+// floating-point registers used: 3
+// f8,  input x, output
+// f9,  input y
+// f10, input z
+
+.section .text
+GLOBAL_LIBM_ENTRY(fmaf)
+
+{ .mfb
+      nop.m 999
+      fma.s.s0  f8 = f8, f9, f10  // Result = x * y + z
+      br.ret.sptk    b0           
+}
+;;
+
+GLOBAL_LIBM_END(fmaf)
diff --git a/sysdeps/ia64/fpu/s_fmal.S b/sysdeps/ia64/fpu/s_fmal.S
new file mode 100644
index 0000000000..2bdef0b3ed
--- /dev/null
+++ b/sysdeps/ia64/fpu/s_fmal.S
@@ -0,0 +1,71 @@
+.file "fmal.s"
+
+
+// Copyright (c) 2001 - 2003, Intel Corporation
+// All rights reserved.
+//
+// Contributed 2001 by the Intel Numerics Group, Intel Corporation
+//
+// Redistribution and use in source and binary forms, with or without
+// modification, are permitted provided that the following conditions are
+// met:
+//
+// * Redistributions of source code must retain the above copyright
+// notice, this list of conditions and the following disclaimer.
+//
+// * Redistributions in binary form must reproduce the above copyright
+// notice, this list of conditions and the following disclaimer in the
+// documentation and/or other materials provided with the distribution.
+//
+// * The name of Intel Corporation may not be used to endorse or promote
+// products derived from this software without specific prior written
+// permission.
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
+// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS 
+// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, 
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY 
+// OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 
+// 
+// Intel Corporation is the author of this code, and requests that all
+// problem reports or change requests be submitted to it directly at 
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
+//
+// History
+//==============================================================
+// 06/07/01 Initial version 
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 02/10/03 Reordered header: .section, .global, .proc, .align
+//
+// API
+//==============================================================
+// long double fmal  (long double x, long double y, long double z)
+//
+// Overview of operation
+//==============================================================
+// returns x * y + z with one rounding error
+
+// All the special cases are handled by the fma instruction itself
+
+// floating-point registers used: 3
+// f8,  input x, output
+// f9,  input y
+// f10, input z
+
+.section .text
+GLOBAL_LIBM_ENTRY(fmal)
+
+{ .mfb
+      nop.m 999
+      fma.s0  f8 = f8, f9, f10  // Result = x * y + z
+      br.ret.sptk    b0           
+}
+;;
+
+GLOBAL_LIBM_END(fmal)
diff --git a/sysdeps/ia64/fpu/s_fmax.S b/sysdeps/ia64/fpu/s_fmax.S
new file mode 100644
index 0000000000..6fd38dfe9d
--- /dev/null
+++ b/sysdeps/ia64/fpu/s_fmax.S
@@ -0,0 +1,114 @@
+.file "fmax.s"
+
+
+// Copyright (c) 2001 - 2003, Intel Corporation
+// All rights reserved.
+//
+// Contributed 2001 by the Intel Numerics Group, Intel Corporation
+//
+// Redistribution and use in source and binary forms, with or without
+// modification, are permitted provided that the following conditions are
+// met:
+//
+// * Redistributions of source code must retain the above copyright
+// notice, this list of conditions and the following disclaimer.
+//
+// * Redistributions in binary form must reproduce the above copyright
+// notice, this list of conditions and the following disclaimer in the
+// documentation and/or other materials provided with the distribution.
+//
+// * The name of Intel Corporation may not be used to endorse or promote
+// products derived from this software without specific prior written
+// permission.
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
+// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS 
+// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, 
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY 
+// OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 
+// 
+// Intel Corporation is the author of this code, and requests that all
+// problem reports or change requests be submitted to it directly at 
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
+//
+// History
+//==============================================================
+// 05/31/01 Initial version 
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 02/10/03 Reordered header: .section, .global, .proc, .align
+//
+// API
+//==============================================================
+// double fmax  (double x, double y)
+//
+// Overview of operation
+//==============================================================
+// returns the algebraic maximum of 2 input values
+// 
+// Special cases:
+//    fmax(x, nan) returns x if x is numeric  // Must special case this one
+//    fmax(nan, y) returns y if y is numeric
+//    fmax(nan1, nan2) returns quietized nan2
+//    fmax(+0,+0) returns +0
+//    fmax(-0,+0) returns +0
+//    fmax(-0,-0) returns -0
+//    fmax(+0,-0) returns +0                  // Must special case this one
+//  
+// SNaN causes invalid to be set
+
+// floating-point registers used: 2
+// f8,  input x, output
+// f9,  input y
+
+.section .text
+GLOBAL_LIBM_ENTRY(fmax)
+
+{ .mfi
+      nop.m 999
+      fcmp.unord.s0 p6,p7 = f8, f9 // Is x or y a nan? Raise invalid or denormal
+      nop.i 999
+}
+;;
+
+{ .mfi
+      nop.m 999
+(p7)  fclass.m.unc  p8,p9 = f9, 0x06 // If no nan, is y=-0?
+      nop.i 999
+}
+;;
+
+{ .mfi
+      nop.m 999
+(p6)  fclass.m.unc  p10,p0 = f8, 0xc3 // Is x nan?
+      nop.i 999
+}
+;;
+
+{ .mfi
+      nop.m 999
+(p9)  fmax.s0  f8 = f8, f9    // Normal case, no nan and y not -0
+      nop.i 999
+}
+;;
+
+{ .mfi
+      nop.m 999
+(p8)  fmax.s0  f8 = f9, f8    // No nan and y -0
+      nop.i 999
+}
+;;
+
+{ .mfb
+      nop.m 999
+(p10) fmerge.s  f8 = f9, f9   // If x nan, return y, else do nothing (returns x)
+      br.ret.sptk    b0           
+}
+;;
+
+GLOBAL_LIBM_END(fmax)
diff --git a/sysdeps/ia64/fpu/s_fmaxf.S b/sysdeps/ia64/fpu/s_fmaxf.S
new file mode 100644
index 0000000000..cac283c66a
--- /dev/null
+++ b/sysdeps/ia64/fpu/s_fmaxf.S
@@ -0,0 +1,114 @@
+.file "fmaxf.s"
+
+
+// Copyright (c) 2001 - 2003, Intel Corporation
+// All rights reserved.
+//
+// Contributed 2001 by the Intel Numerics Group, Intel Corporation
+//
+// Redistribution and use in source and binary forms, with or without
+// modification, are permitted provided that the following conditions are
+// met:
+//
+// * Redistributions of source code must retain the above copyright
+// notice, this list of conditions and the following disclaimer.
+//
+// * Redistributions in binary form must reproduce the above copyright
+// notice, this list of conditions and the following disclaimer in the
+// documentation and/or other materials provided with the distribution.
+//
+// * The name of Intel Corporation may not be used to endorse or promote
+// products derived from this software without specific prior written
+// permission.
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
+// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS 
+// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, 
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY 
+// OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 
+// 
+// Intel Corporation is the author of this code, and requests that all
+// problem reports or change requests be submitted to it directly at 
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
+//
+// History
+//==============================================================
+// 05/31/01 Initial version 
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 02/10/03 Reordered header: .section, .global, .proc, .align
+//
+// API
+//==============================================================
+// float fmaxf  (float x, float y)
+//
+// Overview of operation
+//==============================================================
+// returns the algebraic maximum of 2 input values
+// 
+// Special cases:
+//    fmaxf(x, nan) returns x if x is numeric  // Must special case this one
+//    fmaxf(nan, y) returns y if y is numeric
+//    fmaxf(nan1, nan2) returns quietized nan2
+//    fmaxf(+0,+0) returns +0
+//    fmaxf(-0,+0) returns +0
+//    fmaxf(-0,-0) returns -0
+//    fmaxf(+0,-0) returns +0                  // Must special case this one
+//  
+// SNaN causes invalid to be set
+
+// floating-point registers used: 2
+// f8,  input x, output
+// f9,  input y
+
+.section .text
+GLOBAL_LIBM_ENTRY(fmaxf)
+
+{ .mfi
+      nop.m 999
+      fcmp.unord.s0 p6,p7 = f8, f9 // Is x or y a nan? Raise invalid or denormal
+      nop.i 999
+}
+;;
+
+{ .mfi
+      nop.m 999
+(p7)  fclass.m.unc  p8,p9 = f9, 0x06 // If no nan, is y=-0?
+      nop.i 999
+}
+;;
+
+{ .mfi
+      nop.m 999
+(p6)  fclass.m.unc  p10,p0 = f8, 0xc3 // Is x nan?
+      nop.i 999
+}
+;;
+
+{ .mfi
+      nop.m 999
+(p9)  fmax.s0  f8 = f8, f9    // Normal case, no nan and y not -0
+      nop.i 999
+}
+;;
+
+{ .mfi
+      nop.m 999
+(p8)  fmax.s0  f8 = f9, f8    // No nan and y -0
+      nop.i 999
+}
+;;
+
+{ .mfb
+      nop.m 999
+(p10) fmerge.s  f8 = f9, f9   // If x nan, return y, else do nothing (returns x)
+      br.ret.sptk    b0           
+}
+;;
+
+GLOBAL_LIBM_END(fmaxf)
diff --git a/sysdeps/ia64/fpu/s_fmaxl.S b/sysdeps/ia64/fpu/s_fmaxl.S
new file mode 100644
index 0000000000..fb8861dcdf
--- /dev/null
+++ b/sysdeps/ia64/fpu/s_fmaxl.S
@@ -0,0 +1,114 @@
+.file "fmaxl.s"
+
+
+// Copyright (c) 2001 - 2003, Intel Corporation
+// All rights reserved.
+//
+// Contributed 2001 by the Intel Numerics Group, Intel Corporation
+//
+// Redistribution and use in source and binary forms, with or without
+// modification, are permitted provided that the following conditions are
+// met:
+//
+// * Redistributions of source code must retain the above copyright
+// notice, this list of conditions and the following disclaimer.
+//
+// * Redistributions in binary form must reproduce the above copyright
+// notice, this list of conditions and the following disclaimer in the
+// documentation and/or other materials provided with the distribution.
+//
+// * The name of Intel Corporation may not be used to endorse or promote
+// products derived from this software without specific prior written
+// permission.
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
+// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS 
+// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, 
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY 
+// OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 
+// 
+// Intel Corporation is the author of this code, and requests that all
+// problem reports or change requests be submitted to it directly at 
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
+//
+// History
+//==============================================================
+// 05/31/01 Initial version 
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 02/10/03 Reordered header: .section, .global, .proc, .align
+//
+// API
+//==============================================================
+// long double fmaxl  (long double x, long double y)
+//
+// Overview of operation
+//==============================================================
+// returns the algebraic maximum of 2 input values
+// 
+// Special cases:
+//    fmaxl(x, nan) returns x if x is numeric  // Must special case this one
+//    fmaxl(nan, y) returns y if y is numeric
+//    fmaxl(nan1, nan2) returns quietized nan2
+//    fmaxl(+0,+0) returns +0
+//    fmaxl(-0,+0) returns +0
+//    fmaxl(-0,-0) returns -0
+//    fmaxl(+0,-0) returns +0                  // Must special case this one
+//  
+// SNaN causes invalid to be set
+
+// floating-point registers used: 2
+// f8,  input x, output
+// f9,  input y
+
+.section .text
+GLOBAL_LIBM_ENTRY(fmaxl)
+
+{ .mfi
+      nop.m 999
+      fcmp.unord.s0 p6,p7 = f8, f9 // Is x or y a nan? Raise invalid or denormal
+      nop.i 999
+}
+;;
+
+{ .mfi
+      nop.m 999
+(p7)  fclass.m.unc  p8,p9 = f9, 0x06 // If no nan, is y=-0?
+      nop.i 999
+}
+;;
+
+{ .mfi
+      nop.m 999
+(p6)  fclass.m.unc  p10,p0 = f8, 0xc3 // Is x nan?
+      nop.i 999
+}
+;;
+
+{ .mfi
+      nop.m 999
+(p9)  fmax.s0  f8 = f8, f9    // Normal case, no nan and y not -0
+      nop.i 999
+}
+;;
+
+{ .mfi
+      nop.m 999
+(p8)  fmax.s0  f8 = f9, f8    // No nan and y -0
+      nop.i 999
+}
+;;
+
+{ .mfb
+      nop.m 999
+(p10) fmerge.s  f8 = f9, f9   // If x nan, return y, else do nothing (returns x)
+      br.ret.sptk    b0           
+}
+;;
+
+GLOBAL_LIBM_END(fmaxl)
diff --git a/sysdeps/ia64/fpu/s_frexp.c b/sysdeps/ia64/fpu/s_frexp.c
index 98349bca47..c67500695f 100644
--- a/sysdeps/ia64/fpu/s_frexp.c
+++ b/sysdeps/ia64/fpu/s_frexp.c
@@ -1,8 +1,10 @@
-//
-// Copyright (C) 2000, 2001, Intel Corporation
+/* file: frexp.c */
+
+
+// Copyright (c) 2000-2002, Intel Corporation
 // All rights reserved.
 //
-// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story,
+// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story, 
 // and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation.
 //
 // Redistribution and use in source and binary forms, with or without
@@ -19,14 +21,15 @@
 // * The name of Intel Corporation may not be used to endorse or promote
 // products derived from this software without specific prior written
 // permission.
+
 //
 // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
-// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS 
 // CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
 // EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
-// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 
 // PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
 // OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
 // NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
@@ -34,22 +37,30 @@
 //
 // Intel Corporation is the author of this code, and requests that all
 // problem reports or change requests be submitted to it directly at
-// http://developer.intel.com/opensource.
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
+//
 //
+// History
+//=====================================================================
+//  2/02/00  Initial version
+//  1/23/02  Calls kernel with parameter to specify 32- or 64-bit int
 //
+//=====================================================================
 
 #include "libm_support.h"
 
+double __libm_frexp(double, int*, int);
+
 double frexp(double x, int *y)
 {
 
-#ifdef SIZE_INT_64
-   return( __libm_frexp_8(x, y) );
+#ifdef SIZE_INT_64 
+   return( __libm_frexp(x, y, 1) );
 
 #else
 
-#ifdef SIZE_INT_32
-   return( _GI___libm_frexp_4(x, y) );
+#ifdef SIZE_INT_32 
+   return( __libm_frexp(x, y, 0) );
 #endif
 
 #endif
diff --git a/sysdeps/ia64/fpu/s_frexpf.c b/sysdeps/ia64/fpu/s_frexpf.c
index f666304147..c21a21dfba 100644
--- a/sysdeps/ia64/fpu/s_frexpf.c
+++ b/sysdeps/ia64/fpu/s_frexpf.c
@@ -1,8 +1,10 @@
-//
-// Copyright (C) 2000, 2001, Intel Corporation
+/* file: frexpf.c */
+
+
+// Copyright (c) 2000-2002, Intel Corporation
 // All rights reserved.
 //
-// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story,
+// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story, 
 // and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation.
 //
 // Redistribution and use in source and binary forms, with or without
@@ -19,14 +21,15 @@
 // * The name of Intel Corporation may not be used to endorse or promote
 // products derived from this software without specific prior written
 // permission.
+
 //
 // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
-// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS 
 // CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
 // EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
-// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 
 // PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
 // OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
 // NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
@@ -34,22 +37,30 @@
 //
 // Intel Corporation is the author of this code, and requests that all
 // problem reports or change requests be submitted to it directly at
-// http://developer.intel.com/opensource.
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
+//
 //
+// History
+//=====================================================================
+//  2/02/00  Initial version
+//  1/23/02  Calls kernel with parameter to specify 32- or 64-bit int
 //
+//=====================================================================
 
 #include "libm_support.h"
 
+float __libm_frexpf(float, int*, int);
+
 float frexpf(float x, int *y)
 {
 
-#ifdef SIZE_INT_64
-   return( __libm_frexp_8f(x, y) );
+#ifdef SIZE_INT_64 
+   return( __libm_frexpf(x, y, 1) );
 
 #else
 
-#ifdef SIZE_INT_32
-   return( _GI___libm_frexp_4f(x, y) );
+#ifdef SIZE_INT_32 
+   return( __libm_frexpf(x, y, 0) );
 #endif
 
 #endif
diff --git a/sysdeps/ia64/fpu/s_frexpl.c b/sysdeps/ia64/fpu/s_frexpl.c
index 3edc971e3f..13d44ab8b5 100644
--- a/sysdeps/ia64/fpu/s_frexpl.c
+++ b/sysdeps/ia64/fpu/s_frexpl.c
@@ -1,8 +1,10 @@
-//
-// Copyright (C) 2000, 2001, Intel Corporation
+/* file: frexpl.c */
+
+
+// Copyright (c) 2000-2002, Intel Corporation
 // All rights reserved.
 //
-// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story,
+// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story, 
 // and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation.
 //
 // Redistribution and use in source and binary forms, with or without
@@ -19,14 +21,15 @@
 // * The name of Intel Corporation may not be used to endorse or promote
 // products derived from this software without specific prior written
 // permission.
+
 //
 // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
-// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS 
 // CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
 // EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
-// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 
 // PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
 // OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
 // NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
@@ -34,22 +37,30 @@
 //
 // Intel Corporation is the author of this code, and requests that all
 // problem reports or change requests be submitted to it directly at
-// http://developer.intel.com/opensource.
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
+//
 //
+// History
+//=====================================================================
+//  2/02/00  Initial version
+//  1/23/02  Calls kernel with parameter to specify 32- or 64-bit int
 //
+//=====================================================================
 
 #include "libm_support.h"
 
+long double __libm_frexpl(long double, int*, int);
+
 long double frexpl(long double x, int *y)
 {
 
-#ifdef SIZE_INT_64
-   return( __libm_frexp_8l(x, y) );
+#ifdef SIZE_INT_64 
+   return( __libm_frexpl(x, y, 1) );
 
 #else
 
-#ifdef SIZE_INT_32
-   return( _GI___libm_frexp_4l(x, y) );
+#ifdef SIZE_INT_32 
+   return( __libm_frexpl(x, y, 0) );
 #endif
 
 #endif
diff --git a/sysdeps/ia64/fpu/s_ilogb.S b/sysdeps/ia64/fpu/s_ilogb.S
index 61975dd941..3f2733cabd 100644
--- a/sysdeps/ia64/fpu/s_ilogb.S
+++ b/sysdeps/ia64/fpu/s_ilogb.S
@@ -1,10 +1,10 @@
 .file "ilogb.s"
 
-// Copyright (C) 2000, 2001, Intel Corporation
+
+// Copyright (c) 2000 - 2003, Intel Corporation
 // All rights reserved.
-// 
-// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story,
-// and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
 //
 // Redistribution and use in source and binary forms, with or without
 // modification, are permitted provided that the following conditions are
@@ -20,234 +20,248 @@
 // * The name of Intel Corporation may not be used to endorse or promote
 // products derived from this software without specific prior written
 // permission.
-//
-// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
-// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
-// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS 
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
 // CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
-// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, 
-// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 
-// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY 
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
 // OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
-// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 
-// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 
-// 
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+//
 // Intel Corporation is the author of this code, and requests that all
-// problem reports or change requests be submitted to it directly at 
-// http://developer.intel.com/opensource.
+// problem reports or change requests be submitted to it directly at
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
 //
 // History
 //==============================================================
-// 2/03/00  Initial version
-// 5/26/00  Fix bug when x a double-extended denormal; 
+// 02/03/00 Initial version
+// 05/26/00 Fix bug when x a double-extended denormal;
 //          if x=0 call error routine, per C9X
-// 8/15/00  Bundle added after call to __libm_error_support to properly
+// 08/15/00 Bundle added after call to __libm_error_support to properly
 //          set [the previously overwritten] GR_Parameter_RESULT.
-// 1/20/01  Fixed result for x=0, corrected error tag value.
-
-.align 32
-.global ilogb#
-
-.section .text
-.proc  ilogb#
-.align 32
-
+// 01/20/01 Fixed result for x=0, corrected error tag value.
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 01/20/03 Improved performance
+//
 // API
 //==============================================================
-// int = ilogb(double)
-
+// int ilogb( double x );
+//
 // Overview of operation
 //==============================================================
-// ilogb computes log2(x) as an int
+// The ilogb function extracts the exponent of x as an integer
 // and returns it in r8
-
-// ilogb is similar to logb but differs in the  following ways:
+//
+// ilogb is similar to logb but differs in the following ways:
 //         +-inf
 //            ilogb: returns INT_MAX
 //             logb: returns +inf
-//         Nan  returns FP_ILOGBNAN (which is either INT_MAX or INT_MIN)
+//         Nan  returns FP_LOGBNAN (which is either INT_MAX or INT_MIN)
 //            ilogb: returns INT_MAX (7fffffff)
-//             logb: returns QNAN (quieted SNAN)
+//             logb: returns QNAN (quietized SNAN)
 //         0    returns FP_ILOGB0 (which is either INT_MIN or -INT_MAX)
-//            ilogb: returns INT_MIN (80000000)
-//             logb: returns -inf
-
+//            ilogb: returns -INT_MAX (80000001)
+//             logb: returns -inf, raises the divide-by-zero exception,
+//                   and calls libm_error_support to set domain error
+//
 // Registers used
 //==============================================================
+// general registers used:
+// r26 -> r39
+// r36 -> r39 used as parameters to error path
+//
+// predicate registers used:
+// p6 -> p10
+// floating-point registers used:
+// f9, f10, f11
+// f8, input
 
-// general local registers: 
-// ar.pfs r32
-// r33 -> r37
-// r38 -> r41 used as parameters to error path
-
-// predicate registers used: 
-// p6 - x nan, inf
-// p7 - x 0
-// p8 - x norm, unorm
-// p9 - x unorm
-
-// floating-point registers used: 
-// f8 - f10
-
-#include "libm_support.h"
+rExpBias            = r26
+rExpMask            = r27
+rSignexp_x          = r28
+rExp_x              = r29
+rIntMax             = r30
+rExp_2to64          = r31
 
 GR_SAVE_PFS         = r32
+rTrialResult        = r33
 GR_SAVE_B0          = r34
 GR_SAVE_GP          = r35
-GR_Parameter_X      = r38
-GR_Parameter_Y      = r39
-GR_Parameter_RESULT = r40
-GR_Parameter_TAG    = r41
 
-FR_X                = f8
-FR_Y                = f0
-FR_RESULT           = f0
+GR_Parameter_X      = r36
+GR_Parameter_Y      = r37
+GR_Parameter_RESULT = r38
+GR_Parameter_TAG    = r39
 
+fTmp                = f9
+fNorm_x             = f10
+f2to64              = f11
 
-ilogb: 
+.section .text
+GLOBAL_LIBM_ENTRY(ilogb)
 
-// Form signexp of 2^64 in case need to scale denormal
-{ .mmf
-      alloc          r32=ar.pfs,1,5,4,0
-(p0)  mov      r37 = 0x1003f
-(p0)  fnorm    f9 = f8 ;;
+// X NORMAL
+// TrueExp_x = exp(f8) - 0xffff
+// r8 = TrueExp_x
+{ .mfi
+      getf.exp        rSignexp_x = f8
+      fclass.m        p8,p0 = f8, 0x0b   // Test for x unorm
+      mov             rExpBias = 0xffff  // Exponent bias
 }
-
-// Form 2^64 in case need to scale denormal
 { .mfi
-(p0)  setf.exp f10 = r37
-(p0)  fclass.m.unc p7, p8 = f8, 0xe3        
-(p0)  mov      r34 = 0xffff ;;
+      nop.m           0
+      fnorm.s1        fNorm_x = f8
+      mov             rExpMask = 0x1ffff // Exponent mask
 }
+;;
 
-// qnan snan inf norm     unorm 0 -+
-// 1    1    1   0        0     0 11
-// e                      3
-// X ZERO, returns INT_MIN
-// X INF or NAN, returns INT_MAX
+// Form signexp of 2^64 in case need to scale denormal
+{ .mfb
+      mov             rExp_2to64 = 0x1003f
+      fclass.m        p6,p9 = f8, 0x1e3  // Test x natval, nan, inf
+(p8)  br.cond.spnt    ILOGB_DENORM       // Branch if x unorm
+}
+;;
 
+ILOGB_COMMON:
+// Return here from ILOGB_DENORM
 { .mfi
-(p0)  mov      r35 = 0x1ffff
-(p8)    fclass.m.unc p6, p8 = f8, 0x07
-	nop.i 999 ;;
+      and             rExp_x = rSignexp_x, rExpMask // Get biased exponent
+      fclass.m        p7,p10 = f8, 0x07   // Test x zero
+      nop.i           0
 }
 { .mlx
-	nop.m 999
-(p7)    movl r8 = 0x000000007fffffff ;;       
+      nop.m           0
+      movl            rIntMax = 0x000000007fffffff // Form INT_MAX
 }
+;;
 
-{ .mib
-	nop.m 999
-	nop.i 999
-(p6)    br.cond.spnt  L(ILOGB_ZERO) ;;
-}
-
-// Test for denormal
+.pred.rel "mutex",p6,p9
 { .mfi
-	nop.m 999
-(p8)    fclass.m.unc p9, p0 = f9, 0x0b        
-	nop.i 999 ;;
+(p9)  sub             r8 = rExp_x, rExpBias // Get true exponent for normal path
+(p6)  fma.s0          fTmp = f8, f8, f0     // Dummy to set Invalid flag
+(p6)  mov             r8 = rIntMax          // If nan, inf, return INT_MAX
+}
+{ .mbb
+      nop.m           0
+(p7)  br.cond.spnt    ILOGB_ZERO            // Branch if x zero
+(p10) br.ret.sptk     b0                    // Exit if x not zero
 }
+;;
 
-L(ILOGB_COMMON):
-// X NORMAL returns true exponent
-{ .mmi
-	nop.m 999 
-(p8)    getf.exp r33 = f9
-	nop.i 999 ;;
+
+ILOGB_DENORM:
+// Form 2^64 in case need to scale denormal
+// Check to see if double-extended denormal
+{ .mfi
+      setf.exp        f2to64 = rExp_2to64
+      fclass.m        p8,p0 = fNorm_x, 0x0b
+      nop.i           0
 }
+;;
 
-// If denormal add 64 to exponent bias for scaling
-{ .mfb
-(p9)    add     r34 = 64, r34   
-	nop.f 999 
-(p9)    br.cond.spnt  L(ILOGB_DENORM) ;;
+{ .mfi
+      nop.m           0
+      fcmp.eq.s0      p7,p0 = f8, f0           // Dummy op to set denormal flag
+      nop.i           0
 }
+;;
 
-{ .mmi
-(p8)    and      r36 = r35, r33
-	nop.m 999
-	nop.i 999 ;;
+// If double-extended denormal add 64 to exponent bias for scaling
+// If double-extended denormal form x * 2^64 which is normal
+{ .mfi
+(p8)  add             rExpBias = 64, rExpBias
+(p8)  fmpy.s1         fNorm_x = fNorm_x, f2to64
+      nop.i           0
 }
+;;
 
+// Logic is the same as normal path but use normalized input
 { .mib
-(p8)    sub r8 = r36, r34                  
-	nop.i 999
-(p0)    br.ret.sptk    b0 ;;                     
+      getf.exp        rSignexp_x = fNorm_x
+      nop.i           0
+      br.cond.sptk    ILOGB_COMMON             // Return to main path
 }
+;;
 
-L(ILOGB_DENORM):
-// Here if x denormal
-// Form x * 2^64 which is normal
-// Return to common code
-{ .mfb
-        cmp.eq p8,p9 = r0,r0
-        fmpy f9 = f9, f10
-        br.cond.sptk  L(ILOGB_COMMON) ;;
+ILOGB_ZERO:
+// Here if x zero
+// Return INT_MIN, call error support
+
+{ .mlx
+      alloc           r32=ar.pfs,1,3,4,0
+      movl            rTrialResult = 0x0000000080000000
+}
+{ .mib
+      mov             GR_Parameter_TAG = 157  // Error code
+      nop.i           0
+      br.cond.sptk    __libm_error_region     // Call error support
 }
+;;
 
-// X ZERO
-// return INT_MIN, call error support
-L(ILOGB_ZERO): 
-{.mlx
-      mov            GR_Parameter_TAG = 157
-(p6)  movl r33 = 0x0000000080000000 ;;
-};;
-.endp ilogb
-ASM_SIZE_DIRECTIVE(ilogb)
+GLOBAL_LIBM_END(ilogb)
 
-.proc __libm_error_region
-__libm_error_region:
+LOCAL_LIBM_ENTRY(__libm_error_region)
 .prologue
+
 { .mfi
-        add   GR_Parameter_Y=-32,sp             // Parameter 2 value
+        add   GR_Parameter_Y=-32,sp           // Parameter 2 value
         nop.f 0
 .save   ar.pfs,GR_SAVE_PFS
-        mov  GR_SAVE_PFS=ar.pfs                 // Save ar.pfs
+        mov  GR_SAVE_PFS=ar.pfs               // Save ar.pfs
 }
 { .mfi
 .fframe 64
-        add sp=-64,sp                           // Create new stack
+        add sp=-64,sp                         // Create new stack
         nop.f 0
-        mov GR_SAVE_GP=gp                       // Save gp
+        mov GR_SAVE_GP=gp                     // Save gp
 };;
+
 { .mmi
-        stfd [GR_Parameter_Y] = FR_Y,16         // Save Parameter 2 on stack
-        add GR_Parameter_X = 16,sp              // Parameter 1 address
+        stfd [GR_Parameter_Y] = f0,16         // STORE Parameter 2 on stack
+        add GR_Parameter_X    = 16,sp         // Parameter 1 address
 .save   b0, GR_SAVE_B0
-        mov GR_SAVE_B0=b0                       // Save b0
+        mov GR_SAVE_B0=b0                     // Save b0
 };;
+
 .body
 { .mib
-        stfd [GR_Parameter_X] = FR_X            // Store Parameter 1 on stack
-        add   GR_Parameter_RESULT = 0,GR_Parameter_Y
-        nop.b 0                                 // Parameter 3 address
+        stfd [GR_Parameter_X] = f8            // STORE Parameter 1 on stack
+        add   GR_Parameter_RESULT = 0,GR_Parameter_Y    // Parameter 3 address
+        nop.b 0
 }
 { .mib
-        stfd [GR_Parameter_Y] = FR_RESULT      // Store Parameter 3 on stack
+        stfd [GR_Parameter_Y] = f9            // Store Parameter 3 on stack
         add   GR_Parameter_Y = -16,GR_Parameter_Y
-        br.call.sptk b0=__libm_error_support#  // Call error handling function
+        br.call.sptk b0=__libm_error_support# // Call error handling function
 };;
+
 { .mmi
-        nop.m 0
-        nop.m 0
         add   GR_Parameter_RESULT = 48,sp
+        nop.m 0
+        nop.i 0
 };;
+
 { .mmi
-        mov   r8 = r33                         // Store result
+        mov   r8 = rTrialResult
 .restore sp
         add   sp = 64,sp                       // Restore stack pointer
         mov   b0 = GR_SAVE_B0                  // Restore return address
 };;
+
 { .mib
         mov   gp = GR_SAVE_GP                  // Restore gp
         mov   ar.pfs = GR_SAVE_PFS             // Restore ar.pfs
-        br.ret.sptk     b0                     // Return
+        br.ret.sptk   b0
 };;
 
-.endp __libm_error_region
-ASM_SIZE_DIRECTIVE(__libm_error_region)
+LOCAL_LIBM_END(__libm_error_region)
+
 
 .type   __libm_error_support#,@function
 .global __libm_error_support#
diff --git a/sysdeps/ia64/fpu/s_ilogbf.S b/sysdeps/ia64/fpu/s_ilogbf.S
index ffa6d3b672..1b6ade6148 100644
--- a/sysdeps/ia64/fpu/s_ilogbf.S
+++ b/sysdeps/ia64/fpu/s_ilogbf.S
@@ -1,10 +1,10 @@
 .file "ilogbf.s"
 
-// Copyright (C) 2000, 2001, Intel Corporation
+
+// Copyright (c) 2000 - 2003, Intel Corporation
 // All rights reserved.
-// 
-// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story,
-// and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
 //
 // Redistribution and use in source and binary forms, with or without
 // modification, are permitted provided that the following conditions are
@@ -20,234 +20,248 @@
 // * The name of Intel Corporation may not be used to endorse or promote
 // products derived from this software without specific prior written
 // permission.
-//
-// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
-// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
-// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS 
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
 // CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
-// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, 
-// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 
-// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY 
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
 // OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
-// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 
-// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 
-// 
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+//
 // Intel Corporation is the author of this code, and requests that all
-// problem reports or change requests be submitted to it directly at 
-// http://developer.intel.com/opensource.
+// problem reports or change requests be submitted to it directly at
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
 //
 // History
 //==============================================================
-// 2/03/00  Initial version
-// 5/26/00  Fix bug when x a double-extended denormal; 
+// 02/03/00 Initial version
+// 05/26/00 Fix bug when x a double-extended denormal;
 //          if x=0 call error routine, per C9X
-// 8/15/00  Bundle added after call to __libm_error_support to properly
+// 08/15/00 Bundle added after call to __libm_error_support to properly
 //          set [the previously overwritten] GR_Parameter_RESULT.
-// 1/20/01  Fixed result for x=0
-
-.align 32
-.global ilogbf#
-
-.section .text
-.proc  ilogbf#
-.align 32
-
+// 01/20/01 Fixed result for x=0
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 01/20/03 Improved performance
+//
 // API
 //==============================================================
-// int = ilogbf(float)
-
+// int ilogbf( float x );
+//
 // Overview of operation
 //==============================================================
-// ilogbf computes log2(x) as an int
+// The ilogbf function extracts the exponent of x as an integer
 // and returns it in r8
-
-// ilogbf is similar to logbf but differs in the  following ways:
+//
+// ilogbf is similar to logbf but differs in the following ways:
 //         +-inf
 //            ilogbf: returns INT_MAX
 //             logbf: returns +inf
-//         Nan  returns FP_ILOGBNAN (which is either INT_MAX or INT_MIN)
+//         Nan  returns FP_LOGBNAN (which is either INT_MAX or INT_MIN)
 //            ilogbf: returns INT_MAX (7fffffff)
-//             logbf: returns QNAN (quieted SNAN)
+//             logbf: returns QNAN (quietized SNAN)
 //         0    returns FP_ILOGB0 (which is either INT_MIN or -INT_MAX)
-//            ilogbf: returns INT_MIN (80000000)
-//             logbf: returns -inf
-
+//            ilogbf: returns -INT_MAX (80000001)
+//             logbf: returns -inf, raises the divide-by-zero exception,
+//                   and calls libm_error_support to set domain error
+//
 // Registers used
 //==============================================================
+// general registers used:
+// r26 -> r39
+// r36 -> r39 used as parameters to error path
+//
+// predicate registers used:
+// p6 -> p10
+// floating-point registers used:
+// f9, f10, f11
+// f8, input
 
-// general local registers: 
-// ar.pfs r32
-// r33 -> r37 
-// r38 -> r41 used as parameters to error path
-
-// predicate registers used: 
-// p6 - x nan, inf
-// p7 - x 0
-// p8 - x norm, unorm
-// p9 - x unorm
-
-// floating-point registers used: 
-// f8 - f10
-
-#include "libm_support.h"
+rExpBias            = r26
+rExpMask            = r27
+rSignexp_x          = r28
+rExp_x              = r29
+rIntMax             = r30
+rExp_2to64          = r31
 
 GR_SAVE_PFS         = r32
+rTrialResult        = r33
 GR_SAVE_B0          = r34
 GR_SAVE_GP          = r35
-GR_Parameter_X      = r38
-GR_Parameter_Y      = r39
-GR_Parameter_RESULT = r40
-GR_Parameter_TAG    = r41
 
-FR_X                = f8
-FR_Y                = f0
-FR_RESULT           = f0
+GR_Parameter_X      = r36
+GR_Parameter_Y      = r37
+GR_Parameter_RESULT = r38
+GR_Parameter_TAG    = r39
 
+fTmp                = f9
+fNorm_x             = f10
+f2to64              = f11
 
-ilogbf: 
+.section .text
+GLOBAL_LIBM_ENTRY(ilogbf)
 
-// Form signexp of 2^64 in case need to scale denormal
-{ .mmf
-      alloc          r32=ar.pfs,1,5,4,0
-(p0)  mov      r37 = 0x1003f
-(p0)  fnorm    f9 = f8 ;;
+// X NORMAL
+// TrueExp_x = exp(f8) - 0xffff
+// r8 = TrueExp_x
+{ .mfi
+      getf.exp        rSignexp_x = f8
+      fclass.m        p8,p0 = f8, 0x0b   // Test for x unorm
+      mov             rExpBias = 0xffff  // Exponent bias
 }
-
-// Form 2^64 in case need to scale denormal
 { .mfi
-(p0)  setf.exp f10 = r37
-(p0)  fclass.m.unc p7, p8 = f8, 0xe3        
-(p0)  mov      r34 = 0xffff ;;
+      nop.m           0
+      fnorm.s1        fNorm_x = f8
+      mov             rExpMask = 0x1ffff // Exponent mask
 }
+;;
 
-// qnan snan inf norm     unorm 0 -+
-// 1    1    1   0        0     0 11
-// e                      3
-// X ZERO, returns INT_MIN
-// X INF or NAN, returns INT_MAX
+// Form signexp of 2^64 in case need to scale denormal
+{ .mfb
+      mov             rExp_2to64 = 0x1003f
+      fclass.m        p6,p9 = f8, 0x1e3  // Test x natval, nan, inf
+(p8)  br.cond.spnt    ILOGB_DENORM       // Branch if x unorm
+}
+;;
 
+ILOGB_COMMON:
+// Return here from ILOGB_DENORM
 { .mfi
-(p0)  mov      r35 = 0x1ffff
-(p8)    fclass.m.unc p6, p8 = f8, 0x07
-	nop.i 999 ;;
+      and             rExp_x = rSignexp_x, rExpMask // Get biased exponent
+      fclass.m        p7,p10 = f8, 0x07   // Test x zero
+      nop.i           0
 }
 { .mlx
-	nop.m 999
-(p7)    movl r8 = 0x000000007fffffff ;;       
+      nop.m           0
+      movl            rIntMax = 0x000000007fffffff // Form INT_MAX
 }
+;;
 
-{ .mib
-	nop.m 999
-	nop.i 999
-(p6)    br.cond.spnt  L(ILOGB_ZERO) ;;
-}
-
-// Test for denormal
+.pred.rel "mutex",p6,p9
 { .mfi
-	nop.m 999
-(p8)    fclass.m.unc p9, p0 = f9, 0x0b        
-	nop.i 999 ;;
+(p9)  sub             r8 = rExp_x, rExpBias // Get true exponent for normal path
+(p6)  fma.s0          fTmp = f8, f8, f0     // Dummy to set Invalid flag
+(p6)  mov             r8 = rIntMax          // If nan, inf, return INT_MAX
+}
+{ .mbb
+      nop.m           0
+(p7)  br.cond.spnt    ILOGB_ZERO            // Branch if x zero
+(p10) br.ret.sptk     b0                    // Exit if x not zero
 }
+;;
 
-L(ILOGB_COMMON):
-// X NORMAL returns true exponent
-{ .mmi
-	nop.m 999 
-(p8)    getf.exp r33 = f9
-	nop.i 999 ;;
+
+ILOGB_DENORM:
+// Form 2^64 in case need to scale denormal
+// Check to see if double-extended denormal
+{ .mfi
+      setf.exp        f2to64 = rExp_2to64
+      fclass.m        p8,p0 = fNorm_x, 0x0b
+      nop.i           0
 }
+;;
 
-// If denormal add 64 to exponent bias for scaling
-{ .mfb
-(p9)    add     r34 = 64, r34   
-	nop.f 999 
-(p9)    br.cond.spnt  L(ILOGB_DENORM) ;;
+{ .mfi
+      nop.m           0
+      fcmp.eq.s0      p7,p0 = f8, f0           // Dummy op to set denormal flag
+      nop.i           0
 }
+;;
 
-{ .mmi
-(p8)    and      r36 = r35, r33
-	nop.m 999
-	nop.i 999 ;;
+// If double-extended denormal add 64 to exponent bias for scaling
+// If double-extended denormal form x * 2^64 which is normal
+{ .mfi
+(p8)  add             rExpBias = 64, rExpBias
+(p8)  fmpy.s1         fNorm_x = fNorm_x, f2to64
+      nop.i           0
 }
+;;
 
+// Logic is the same as normal path but use normalized input
 { .mib
-(p8)    sub r8 = r36, r34                  
-	nop.i 999
-(p0)    br.ret.sptk    b0 ;;                     
+      getf.exp        rSignexp_x = fNorm_x
+      nop.i           0
+      br.cond.sptk    ILOGB_COMMON             // Return to main path
 }
+;;
 
-L(ILOGB_DENORM):
-// Here if x denormal
-// Form x * 2^64 which is normal
-// Return to common code
-{ .mfb
-        cmp.eq p8,p9 = r0,r0
-        fmpy f9 = f9, f10
-        br.cond.sptk  L(ILOGB_COMMON) ;;
+ILOGB_ZERO:
+// Here if x zero
+// Return INT_MIN, call error support
+
+{ .mlx
+      alloc           r32=ar.pfs,1,3,4,0
+      movl            rTrialResult = 0x0000000080000000
+}
+{ .mib
+      mov             GR_Parameter_TAG = 158  // Error code
+      nop.i           0
+      br.cond.sptk    __libm_error_region     // Call error support
 }
+;;
 
-// X ZERO
-// return INT_MIN, call error support
-L(ILOGB_ZERO): 
-{.mlx
-      mov            GR_Parameter_TAG = 158
-(p6)  movl r33 = 0x0000000080000000 ;;
-};;
-.endp ilogbf
-ASM_SIZE_DIRECTIVE(ilogbf)
+GLOBAL_LIBM_END(ilogbf)
 
-.proc __libm_error_region
-__libm_error_region:
+LOCAL_LIBM_ENTRY(__libm_error_region)
 .prologue
+
 { .mfi
-        add   GR_Parameter_Y=-32,sp             // Parameter 2 value
+        add   GR_Parameter_Y=-32,sp           // Parameter 2 value
         nop.f 0
 .save   ar.pfs,GR_SAVE_PFS
-        mov  GR_SAVE_PFS=ar.pfs                 // Save ar.pfs
+        mov  GR_SAVE_PFS=ar.pfs               // Save ar.pfs
 }
 { .mfi
 .fframe 64
-        add sp=-64,sp                           // Create new stack
+        add sp=-64,sp                         // Create new stack
         nop.f 0
-        mov GR_SAVE_GP=gp                       // Save gp
+        mov GR_SAVE_GP=gp                     // Save gp
 };;
+
 { .mmi
-        stfs [GR_Parameter_Y] = FR_Y,16         // Save Parameter 2 on stack
-        add GR_Parameter_X = 16,sp              // Parameter 1 address
+        stfs [GR_Parameter_Y] = f0,16         // STORE Parameter 2 on stack
+        add GR_Parameter_X    = 16,sp         // Parameter 1 address
 .save   b0, GR_SAVE_B0
-        mov GR_SAVE_B0=b0                       // Save b0
+        mov GR_SAVE_B0=b0                     // Save b0
 };;
+
 .body
 { .mib
-        stfs [GR_Parameter_X] = FR_X            // Store Parameter 1 on stack
-        add   GR_Parameter_RESULT = 0,GR_Parameter_Y
-        nop.b 0                                 // Parameter 3 address
+        stfs [GR_Parameter_X] = f8            // STORE Parameter 1 on stack
+        add   GR_Parameter_RESULT = 0,GR_Parameter_Y    // Parameter 3 address
+        nop.b 0
 }
 { .mib
-        stfs [GR_Parameter_Y] = FR_RESULT      // Store Parameter 3 on stack
+        stfs [GR_Parameter_Y] = f9            // Store Parameter 3 on stack
         add   GR_Parameter_Y = -16,GR_Parameter_Y
-        br.call.sptk b0=__libm_error_support#  // Call error handling function
+        br.call.sptk b0=__libm_error_support# // Call error handling function
 };;
+
 { .mmi
-        nop.m 0
-        nop.m 0
         add   GR_Parameter_RESULT = 48,sp
+        nop.m 0
+        nop.i 0
 };;
+
 { .mmi
-        mov   r8 = r33                         // Store result
+        mov   r8 = rTrialResult
 .restore sp
         add   sp = 64,sp                       // Restore stack pointer
         mov   b0 = GR_SAVE_B0                  // Restore return address
 };;
+
 { .mib
         mov   gp = GR_SAVE_GP                  // Restore gp
         mov   ar.pfs = GR_SAVE_PFS             // Restore ar.pfs
-        br.ret.sptk     b0                     // Return
+        br.ret.sptk   b0
 };;
 
-.endp __libm_error_region
-ASM_SIZE_DIRECTIVE(__libm_error_region)
+LOCAL_LIBM_END(__libm_error_region)
+
 
 .type   __libm_error_support#,@function
 .global __libm_error_support#
diff --git a/sysdeps/ia64/fpu/s_ilogbl.S b/sysdeps/ia64/fpu/s_ilogbl.S
index 240da060bf..e462fb706e 100644
--- a/sysdeps/ia64/fpu/s_ilogbl.S
+++ b/sysdeps/ia64/fpu/s_ilogbl.S
@@ -1,10 +1,10 @@
 .file "ilogbl.s"
 
-// Copyright (C) 2000, 2001, Intel Corporation
+
+// Copyright (c) 2000 - 2003, Intel Corporation
 // All rights reserved.
-// 
-// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story,
-// and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
 //
 // Redistribution and use in source and binary forms, with or without
 // modification, are permitted provided that the following conditions are
@@ -20,234 +20,248 @@
 // * The name of Intel Corporation may not be used to endorse or promote
 // products derived from this software without specific prior written
 // permission.
-//
-// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
-// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
-// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS 
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
 // CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
-// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, 
-// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 
-// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY 
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
 // OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
-// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 
-// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 
-// 
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+//
 // Intel Corporation is the author of this code, and requests that all
-// problem reports or change requests be submitted to it directly at 
-// http://developer.intel.com/opensource.
+// problem reports or change requests be submitted to it directly at
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
 //
 // History
 //==============================================================
-// 2/03/00  Initial version
-// 5/26/00  Fix bug when x a double-extended denormal; 
+// 02/03/00 Initial version
+// 05/26/00 Fix bug when x a double-extended denormal;
 //          if x=0 call error routine, per C9X
-// 8/15/00  Bundle added after call to __libm_error_support to properly
+// 08/15/00 Bundle added after call to __libm_error_support to properly
 //          set [the previously overwritten] GR_Parameter_RESULT.
-// 1/20/01  Fixed result for x=0
-
-.align 32
-.global ilogbl#
-
-.section .text
-.proc  ilogbl#
-.align 32
-
+// 01/20/01 Fixed result for x=0
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 01/20/03 Improved performance
+//
 // API
 //==============================================================
-// int = ilogbl(double_extended)
-
+// int ilogbl( long double x );
+//
 // Overview of operation
 //==============================================================
-// ilogbl computes log2(x) as an int
+// The ilogbl function extracts the exponent of x as an integer
 // and returns it in r8
-
-// ilogbl is similar to logbl but differs in the  following ways:
+//
+// ilogbl is similar to logbl but differs in the following ways:
 //         +-inf
 //            ilogbl: returns INT_MAX
 //             logbl: returns +inf
-//         Nan  returns FP_ILOGBNAN (which is either INT_MAX or INT_MIN)
+//         Nan  returns FP_LOGBNAN (which is either INT_MAX or INT_MIN)
 //            ilogbl: returns INT_MAX (7fffffff)
-//             logbl: returns QNAN (quieted SNAN)
+//             logbl: returns QNAN (quietized SNAN)
 //         0    returns FP_ILOGB0 (which is either INT_MIN or -INT_MAX)
-//            ilogbl: returns INT_MIN (80000000)
-//             logbl: returns -inf
-
+//            ilogbl: returns -INT_MAX (80000001)
+//             logbl: returns -inf, raises the divide-by-zero exception,
+//                   and calls libm_error_support to set domain error
+//
 // Registers used
 //==============================================================
+// general registers used:
+// r26 -> r39
+// r36 -> r39 used as parameters to error path
+//
+// predicate registers used:
+// p6 -> p10
+// floating-point registers used:
+// f9, f10, f11
+// f8, input
 
-// general local registers: 
-// ar.pfs r32
-// r33 -> r37
-// r38 -> r41 used as parameters to error path
-
-// predicate registers used: 
-// p6 - x nan, inf
-// p7 - x 0
-// p8 - x norm, unorm
-// p9 - x unorm
-
-// floating-point registers used: 
-// f8 - f10
-
-#include "libm_support.h"
+rExpBias            = r26
+rExpMask            = r27
+rSignexp_x          = r28
+rExp_x              = r29
+rIntMax             = r30
+rExp_2to64          = r31
 
 GR_SAVE_PFS         = r32
+rTrialResult        = r33
 GR_SAVE_B0          = r34
 GR_SAVE_GP          = r35
-GR_Parameter_X      = r38
-GR_Parameter_Y      = r39
-GR_Parameter_RESULT = r40
-GR_Parameter_TAG    = r41
 
-FR_X                = f8
-FR_Y                = f0
-FR_RESULT           = f0
+GR_Parameter_X      = r36
+GR_Parameter_Y      = r37
+GR_Parameter_RESULT = r38
+GR_Parameter_TAG    = r39
 
+fTmp                = f9
+fNorm_x             = f10
+f2to64              = f11
 
-ilogbl: 
+.section .text
+GLOBAL_LIBM_ENTRY(ilogbl)
 
-// Form signexp of 2^64 in case need to scale denormal
-{ .mmf
-      alloc          r32=ar.pfs,1,5,4,0
-(p0)  mov      r37 = 0x1003f
-(p0)  fnorm    f9 = f8 ;;
+// X NORMAL
+// TrueExp_x = exp(f8) - 0xffff
+// r8 = TrueExp_x
+{ .mfi
+      getf.exp        rSignexp_x = f8
+      fclass.m        p8,p0 = f8, 0x0b   // Test for x unorm
+      mov             rExpBias = 0xffff  // Exponent bias
 }
-
-// Form 2^64 in case need to scale denormal
 { .mfi
-(p0)  setf.exp f10 = r37
-(p0)  fclass.m.unc p7, p8 = f8, 0xe3        
-(p0)  mov      r34 = 0xffff ;;
+      nop.m           0
+      fnorm.s1        fNorm_x = f8
+      mov             rExpMask = 0x1ffff // Exponent mask
 }
+;;
 
-// qnan snan inf norm     unorm 0 -+
-// 1    1    1   0        0     0 11
-// e                      3
-// X ZERO, returns INT_MIN
-// X INF or NAN, returns INT_MAX
+// Form signexp of 2^64 in case need to scale denormal
+{ .mfb
+      mov             rExp_2to64 = 0x1003f
+      fclass.m        p6,p9 = f8, 0x1e3  // Test x natval, nan, inf
+(p8)  br.cond.spnt    ILOGB_DENORM       // Branch if x unorm
+}
+;;
 
+ILOGB_COMMON:
+// Return here from ILOGB_DENORM
 { .mfi
-(p0)  mov      r35 = 0x1ffff
-(p8)    fclass.m.unc p6, p8 = f8, 0x07
-	nop.i 999 ;;
+      and             rExp_x = rSignexp_x, rExpMask // Get biased exponent
+      fclass.m        p7,p10 = f8, 0x07   // Test x zero
+      nop.i           0
 }
 { .mlx
-	nop.m 999
-(p7)    movl r8 = 0x000000007fffffff ;;       
+      nop.m           0
+      movl            rIntMax = 0x000000007fffffff // Form INT_MAX
 }
+;;
 
-{ .mib
-	nop.m 999
-	nop.i 999
-(p6)    br.cond.spnt  L(ILOGB_ZERO) ;;
-}
-
-// Test for denormal
+.pred.rel "mutex",p6,p9
 { .mfi
-	nop.m 999
-(p8)    fclass.m.unc p9, p0 = f9, 0x0b        
-	nop.i 999 ;;
+(p9)  sub             r8 = rExp_x, rExpBias // Get true exponent for normal path
+(p6)  fma.s0          fTmp = f8, f8, f0     // Dummy to set Invalid flag
+(p6)  mov             r8 = rIntMax          // If nan, inf, return INT_MAX
+}
+{ .mbb
+      nop.m           0
+(p7)  br.cond.spnt    ILOGB_ZERO            // Branch if x zero
+(p10) br.ret.sptk     b0                    // Exit if x not zero
 }
+;;
 
-L(ILOGB_COMMON):
-// X NORMAL returns true exponent
-{ .mmi
-	nop.m 999 
-(p8)    getf.exp r33 = f9
-	nop.i 999 ;;
+
+ILOGB_DENORM:
+// Form 2^64 in case need to scale denormal
+// Check to see if double-extended denormal
+{ .mfi
+      setf.exp        f2to64 = rExp_2to64
+      fclass.m        p8,p0 = fNorm_x, 0x0b
+      nop.i           0
 }
+;;
 
-// If denormal add 64 to exponent bias for scaling
-{ .mfb
-(p9)    add     r34 = 64, r34   
-	nop.f 999 
-(p9)    br.cond.spnt  L(ILOGB_DENORM) ;;
+{ .mfi
+      nop.m           0
+      fcmp.eq.s0      p7,p0 = f8, f0           // Dummy op to set denormal flag
+      nop.i           0
 }
+;;
 
-{ .mmi
-(p8)    and      r36 = r35, r33
-	nop.m 999
-	nop.i 999 ;;
+// If double-extended denormal add 64 to exponent bias for scaling
+// If double-extended denormal form x * 2^64 which is normal
+{ .mfi
+(p8)  add             rExpBias = 64, rExpBias
+(p8)  fmpy.s1         fNorm_x = fNorm_x, f2to64
+      nop.i           0
 }
+;;
 
+// Logic is the same as normal path but use normalized input
 { .mib
-(p8)    sub r8 = r36, r34                  
-	nop.i 999
-(p0)    br.ret.sptk    b0 ;;                     
+      getf.exp        rSignexp_x = fNorm_x
+      nop.i           0
+      br.cond.sptk    ILOGB_COMMON             // Return to main path
 }
+;;
 
-L(ILOGB_DENORM):
-// Here if x denormal
-// Form x * 2^64 which is normal
-// Return to common code
-{ .mfb
-        cmp.eq p8,p9 = r0,r0
-        fmpy f9 = f9, f10
-        br.cond.sptk  L(ILOGB_COMMON) ;;
+ILOGB_ZERO:
+// Here if x zero
+// Return INT_MIN, call error support
+
+{ .mlx
+      alloc           r32=ar.pfs,1,3,4,0
+      movl            rTrialResult = 0x0000000080000000
+}
+{ .mib
+      mov             GR_Parameter_TAG = 156  // Error code
+      nop.i           0
+      br.cond.sptk    __libm_error_region     // Call error support
 }
+;;
 
-// X ZERO
-// return INT_MIN, call error support
-L(ILOGB_ZERO): 
-{.mlx
-      mov            GR_Parameter_TAG = 156
-(p6)  movl r33 = 0x0000000080000000 ;;
-};;
-.endp ilogbl
-ASM_SIZE_DIRECTIVE(ilogbl)
+GLOBAL_LIBM_END(ilogbl)
 
-.proc __libm_error_region
-__libm_error_region:
+LOCAL_LIBM_ENTRY(__libm_error_region)
 .prologue
+
 { .mfi
-        add   GR_Parameter_Y=-32,sp             // Parameter 2 value
+        add   GR_Parameter_Y=-32,sp           // Parameter 2 value
         nop.f 0
 .save   ar.pfs,GR_SAVE_PFS
-        mov  GR_SAVE_PFS=ar.pfs                 // Save ar.pfs
+        mov  GR_SAVE_PFS=ar.pfs               // Save ar.pfs
 }
 { .mfi
 .fframe 64
-        add sp=-64,sp                           // Create new stack
+        add sp=-64,sp                         // Create new stack
         nop.f 0
-        mov GR_SAVE_GP=gp                       // Save gp
+        mov GR_SAVE_GP=gp                     // Save gp
 };;
+
 { .mmi
-        stfe [GR_Parameter_Y] = FR_Y,16         // Save Parameter 2 on stack
-        add GR_Parameter_X = 16,sp              // Parameter 1 address
+        stfe [GR_Parameter_Y] = f0,16         // STORE Parameter 2 on stack
+        add GR_Parameter_X    = 16,sp         // Parameter 1 address
 .save   b0, GR_SAVE_B0
-        mov GR_SAVE_B0=b0                       // Save b0
+        mov GR_SAVE_B0=b0                     // Save b0
 };;
+
 .body
 { .mib
-        stfe [GR_Parameter_X] = FR_X            // Store Parameter 1 on stack
-        add   GR_Parameter_RESULT = 0,GR_Parameter_Y
-        nop.b 0                                 // Parameter 3 address
+        stfe [GR_Parameter_X] = f8            // STORE Parameter 1 on stack
+        add   GR_Parameter_RESULT = 0,GR_Parameter_Y    // Parameter 3 address
+        nop.b 0
 }
 { .mib
-        stfe [GR_Parameter_Y] = FR_RESULT      // Store Parameter 3 on stack
+        stfe [GR_Parameter_Y] = f9            // Store Parameter 3 on stack
         add   GR_Parameter_Y = -16,GR_Parameter_Y
-        br.call.sptk b0=__libm_error_support#  // Call error handling function
+        br.call.sptk b0=__libm_error_support# // Call error handling function
 };;
+
 { .mmi
-        nop.m 0
-        nop.m 0
         add   GR_Parameter_RESULT = 48,sp
+        nop.m 0
+        nop.i 0
 };;
+
 { .mmi
-        mov   r8 = r33                         // Store result
+        mov   r8 = rTrialResult
 .restore sp
         add   sp = 64,sp                       // Restore stack pointer
         mov   b0 = GR_SAVE_B0                  // Restore return address
 };;
+
 { .mib
         mov   gp = GR_SAVE_GP                  // Restore gp
         mov   ar.pfs = GR_SAVE_PFS             // Restore ar.pfs
-        br.ret.sptk     b0                     // Return
+        br.ret.sptk   b0
 };;
 
-.endp __libm_error_region
-ASM_SIZE_DIRECTIVE(__libm_error_region)
+LOCAL_LIBM_END(__libm_error_region)
+
 
 .type   __libm_error_support#,@function
 .global __libm_error_support#
diff --git a/sysdeps/ia64/fpu/s_ldexp.S b/sysdeps/ia64/fpu/s_ldexp.S
deleted file mode 100644
index 4dcd671c9f..0000000000
--- a/sysdeps/ia64/fpu/s_ldexp.S
+++ /dev/null
@@ -1,380 +0,0 @@
-.file "ldexp.s"
-
-// Copyright (C) 2000, 2001, Intel Corporation
-// All rights reserved.
-// 
-// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story,
-// and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation.
-//
-// Redistribution and use in source and binary forms, with or without
-// modification, are permitted provided that the following conditions are
-// met:
-//
-// * Redistributions of source code must retain the above copyright
-// notice, this list of conditions and the following disclaimer.
-//
-// * Redistributions in binary form must reproduce the above copyright
-// notice, this list of conditions and the following disclaimer in the
-// documentation and/or other materials provided with the distribution.
-//
-// * The name of Intel Corporation may not be used to endorse or promote
-// products derived from this software without specific prior written
-// permission.
-//
-// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
-// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
-// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
-// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS 
-// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
-// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, 
-// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 
-// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY 
-// OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
-// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 
-// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 
-// 
-// Intel Corporation is the author of this code, and requests that all
-// problem reports or change requests be submitted to it directly at 
-// http://developer.intel.com/opensource.
-//
-// History
-//==============================================================
-// 2/02/00  Initial version
-// 1/26/01  ldex pcompletely reworked and now standalone version 
-//
-// API
-//==============================================================
-// double = ldexp  (double x, int n) 
-// input  floating point f8 and int n (r33) 
-// output floating point f8
-//
-// Returns x* 2**n using an fma and detects overflow
-// and underflow.   
-//
-//
-
-#include "libm_support.h"
-
-FR_Big         = f6
-FR_NBig        = f7
-FR_Floating_X  = f8
-FR_Result      = f8
-FR_Result2     = f9
-FR_Result3     = f11
-FR_Norm_X      = f12
-FR_Two_N       = f14
-FR_Two_to_Big  = f15
-
-GR_N_Biased    = r15
-GR_Big         = r16
-GR_NBig        = r17
-GR_Scratch     = r18
-GR_Scratch1    = r19
-GR_Bias        = r20
-GR_N_as_int    = r21
-
-GR_SAVE_B0          = r32
-GR_SAVE_GP          = r33
-GR_SAVE_PFS         = r34
-GR_Parameter_X      = r35
-GR_Parameter_Y      = r36
-GR_Parameter_RESULT = r37
-GR_Tag              = r38
-
-.align 32
-.global ldexp
-
-.section .text
-.proc  ldexp
-.align 32
-
-ldexp: 
-
-//
-//   Is x NAN, INF, ZERO, +-?
-//   Build the exponent Bias
-//
-{    .mfi
-     alloc         r32=ar.pfs,1,2,4,0
-     fclass.m.unc  p7,p0 = FR_Floating_X, 0xe7 //@snan | @qnan | @inf | @zero
-     addl          GR_Bias = 0x0FFFF,r0
-}
-
-//
-//   Sign extend input
-//   Is N zero?
-//   Normalize x
-//
-{    .mfi
-     cmp.eq.unc    p6,p0 = r33,r0  
-     fnorm.s1      FR_Norm_X  =   FR_Floating_X 
-     sxt4          GR_N_as_int = r33
-}
-;;
-
-//
-//   Normalize x
-//   Branch and return special values.
-//   Create -35000
-//   Create 35000
-//
-{    .mfi
-     addl          GR_Big = 35000,r0
-     nop.f 0
-     add           GR_N_Biased = GR_Bias,GR_N_as_int
-}
-{    .mfb
-     addl          GR_NBig = -35000,r0
-(p7) fma.d.s0      FR_Result = FR_Floating_X,f1, f0 
-(p7) br.ret.spnt   b0  
-};;
-
-//
-//   Build the exponent Bias
-//   Return x when N = 0
-//
-{    .mfi
-     setf.exp      FR_Two_N = GR_N_Biased                   
-     nop.f 0
-     addl          GR_Scratch1  = 0x063BF,r0 
-}
-{    .mfb
-     addl          GR_Scratch  = 0x019C3F,r0 
-(p6) fma.d.s0      FR_Result = FR_Floating_X,f1, f0 
-(p6) br.ret.spnt   b0  
-};;
-
-//
-//   Create 2*big
-//   Create 2**-big 
-//   Is N > 35000     
-//   Is N < -35000     
-//   Raise Denormal operand flag with compare
-//   Main path, create 2**N
-//
-{    .mfi
-     setf.exp      FR_NBig = GR_Scratch1                  
-     nop.f 0
-     cmp.ge.unc    p6, p0 = GR_N_as_int, GR_Big
-}
-{    .mfi
-     setf.exp      FR_Big = GR_Scratch                  
-     fcmp.ge.s0    p0,p11 = FR_Floating_X,f0
-     cmp.le.unc    p8, p0 = GR_N_as_int, GR_NBig
-};;
-
-//
-//   Adjust 2**N if N was very small or very large
-//
-{    .mfi
-     nop.m 0
-(p6) fma.s1        FR_Two_N = FR_Big,f1,f0
-     nop.i 0
-}
-{ .mlx
-     nop.m 999
-(p0) movl          GR_Scratch = 0x00000000000303FF 
-};;
-
-
-{    .mfi
-     nop.m 0
-(p8) fma.s1        FR_Two_N = FR_NBig,f1,f0
-     nop.i 0
-}
-{    .mlx
-     nop.m 999
-(p0) movl          GR_Scratch1= 0x00000000000103FF 
-};;
-
-//   Set up necessary status fields 
-//
-//   S0 user supplied status
-//   S2 user supplied status + WRE + TD  (Overflows)
-//   S3 user supplied status + FZ + TD   (Underflows)
-//
-{    .mfi
-     nop.m 999
-(p0) fsetc.s3      0x7F,0x41
-     nop.i 999
-}
-{    .mfi
-     nop.m 999
-(p0) fsetc.s2      0x7F,0x42
-     nop.i 999
-};;
-
-//
-//   Do final operation
-//
-{    .mfi
-     setf.exp     FR_NBig = GR_Scratch
-     fma.d.s0     FR_Result = FR_Two_N,FR_Norm_X,f0 
-     nop.i                           999
-}
-{    .mfi
-     nop.m                           999
-     fma.d.s3     FR_Result3 = FR_Two_N,FR_Norm_X,f0 
-     nop.i                           999
-};;
-{    .mfi
-     setf.exp     FR_Big = GR_Scratch1
-     fma.d.s2     FR_Result2 = FR_Two_N,FR_Norm_X,f0 
-     nop.i                           999
-};;
-
-//
-//   Check for overflow or underflow.
-//   Restore s3
-//   Restore s2
-//
-{    .mfi
-     nop.m 0
-     fsetc.s3     0x7F,0x40
-     nop.i 999 
-}
-{    .mfi
-     nop.m 0
-     fsetc.s2     0x7F,0x40
-     nop.i 999
-};;
-
-//
-//   Is the result zero?
-//
-{    .mfi
-     nop.m 999
-     fclass.m.unc p6, p0 =  FR_Result3, 0x007
-     nop.i 999 
-} 
-{    .mfi
-     addl           GR_Tag = 146, r0
-     fcmp.ge.unc.s1 p7, p8 = FR_Result2 , FR_Big
-     nop.i 0
-};;
-
-//
-//   Detect masked underflow - Tiny + Inexact Only
-//
-{    .mfi
-     nop.m 999
-(p6) fcmp.neq.unc.s1 p6, p0 = FR_Result , FR_Result2
-     nop.i 999 
-};; 
-
-//
-//   Is result bigger the allowed range?
-//   Branch out for underflow
-//
-{    .mfb
-(p6) addl            GR_Tag = 147, r0
-(p8) fcmp.le.unc.s1  p9, p10 = FR_Result2 , FR_NBig
-(p6) br.cond.spnt    L(LDEXP_UNDERFLOW) 
-};;
-
-//
-//   Branch out for overflow
-//
-{ .mbb
-     nop.m 0
-(p7) br.cond.spnt    L(LDEXP_OVERFLOW) 
-(p9) br.cond.spnt    L(LDEXP_OVERFLOW) 
-};;
-
-//
-//   Return from main path.
-//
-{    .mfb
-     nop.m 999
-     nop.f 0
-     br.ret.sptk     b0;;                   
-}
-
-.endp ldexp
-ASM_SIZE_DIRECTIVE(ldexp)
-.proc __libm_error_region
-__libm_error_region:
-
-L(LDEXP_OVERFLOW): 
-L(LDEXP_UNDERFLOW): 
-
-//
-// Get stack address of N
-//
-.prologue
-{ .mfi
-    add   GR_Parameter_Y=-32,sp         
-    nop.f 0
-.save   ar.pfs,GR_SAVE_PFS
-    mov  GR_SAVE_PFS=ar.pfs              
-}
-//
-// Adjust sp 
-//
-{ .mfi
-.fframe 64
-   add sp=-64,sp                         
-   nop.f 0
-   mov GR_SAVE_GP=gp       
-};;
-
-//
-//  Store N on stack in correct position 
-//  Locate the address of x on stack
-//
-{ .mmi
-   st8 [GR_Parameter_Y] =  GR_N_as_int,16       
-   add GR_Parameter_X = 16,sp          
-.save   b0, GR_SAVE_B0
-   mov GR_SAVE_B0=b0                  
-};;
-
-//
-// Store x on the stack.
-// Get address for result on stack.
-//
-.body
-{ .mib
-   stfd [GR_Parameter_X] = FR_Norm_X 
-   add   GR_Parameter_RESULT = 0,GR_Parameter_Y   
-   nop.b 0
-}
-{ .mib
-   stfd [GR_Parameter_Y] = FR_Result                 
-   add   GR_Parameter_Y = -16,GR_Parameter_Y
-   br.call.sptk b0=__libm_error_support#   
-};;
-
-//
-//  Get location of result on stack
-//
-{ .mmi
-   nop.m 0
-   nop.m 0
-   add   GR_Parameter_RESULT = 48,sp    
-};;
-
-//
-//  Get the new result 
-//
-{ .mmi
-   ldfd  FR_Result = [GR_Parameter_RESULT]      
-.restore sp
-   add   sp = 64,sp                       
-   mov   b0 = GR_SAVE_B0                  
-};;
-
-//
-//  Restore gp, ar.pfs and return
-//
-{ .mib
-   mov   gp = GR_SAVE_GP                  
-   mov   ar.pfs = GR_SAVE_PFS             
-   br.ret.sptk     b0                  
-};;
-
-.endp __libm_error_region
-ASM_SIZE_DIRECTIVE(__libm_error_region)
-
-.type   __libm_error_support#,@function
-.global __libm_error_support#
diff --git a/sysdeps/ia64/fpu/s_ldexp.c b/sysdeps/ia64/fpu/s_ldexp.c
new file mode 100644
index 0000000000..015b6508c1
--- /dev/null
+++ b/sysdeps/ia64/fpu/s_ldexp.c
@@ -0,0 +1,62 @@
+/* file: ldexp.c */
+
+
+// Copyright (c) 2000, 2001, Intel Corporation
+// All rights reserved.
+//
+// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story, 
+// and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation.
+//
+// Redistribution and use in source and binary forms, with or without
+// modification, are permitted provided that the following conditions are
+// met:
+//
+// * Redistributions of source code must retain the above copyright
+// notice, this list of conditions and the following disclaimer.
+//
+// * Redistributions in binary form must reproduce the above copyright
+// notice, this list of conditions and the following disclaimer in the
+// documentation and/or other materials provided with the distribution.
+//
+// * The name of Intel Corporation may not be used to endorse or promote
+// products derived from this software without specific prior written
+// permission.
+
+//
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
+// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS 
+// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
+// OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+//
+// Intel Corporation is the author of this code, and requests that all
+// problem reports or change requests be submitted to it directly at
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
+//
+//
+
+#include "libm_support.h"
+
+double __libm_ldexp(double, int, int);
+
+
+double ldexp(double x, int n)
+{
+
+#ifdef SIZE_INT_64 
+   return __libm_ldexp(x,n,1);  
+#else
+
+#ifdef SIZE_INT_32 
+   return __libm_ldexp(x,n,0);
+#endif
+
+#endif
+
+}
diff --git a/sysdeps/ia64/fpu/s_ldexpf.c b/sysdeps/ia64/fpu/s_ldexpf.c
new file mode 100644
index 0000000000..eae4051873
--- /dev/null
+++ b/sysdeps/ia64/fpu/s_ldexpf.c
@@ -0,0 +1,62 @@
+/* file: ldexpf.c */
+
+
+// Copyright (c) 2000, 2001, Intel Corporation
+// All rights reserved.
+//
+// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story, 
+// and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation.
+//
+// Redistribution and use in source and binary forms, with or without
+// modification, are permitted provided that the following conditions are
+// met:
+//
+// * Redistributions of source code must retain the above copyright
+// notice, this list of conditions and the following disclaimer.
+//
+// * Redistributions in binary form must reproduce the above copyright
+// notice, this list of conditions and the following disclaimer in the
+// documentation and/or other materials provided with the distribution.
+//
+// * The name of Intel Corporation may not be used to endorse or promote
+// products derived from this software without specific prior written
+// permission.
+
+//
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
+// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS 
+// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
+// OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+//
+// Intel Corporation is the author of this code, and requests that all
+// problem reports or change requests be submitted to it directly at
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
+//
+//
+
+#include "libm_support.h"
+
+float __libm_ldexpf(float, int, int);
+
+
+float ldexpf(float x, int n)
+{
+
+#ifdef SIZE_INT_64 
+   return __libm_ldexpf(x,n,1);  
+#else
+
+#ifdef SIZE_INT_32 
+   return __libm_ldexpf(x,n,0);
+#endif
+
+#endif
+
+}
diff --git a/sysdeps/ia64/fpu/s_ldexpl.c b/sysdeps/ia64/fpu/s_ldexpl.c
new file mode 100644
index 0000000000..91d826841f
--- /dev/null
+++ b/sysdeps/ia64/fpu/s_ldexpl.c
@@ -0,0 +1,62 @@
+/* file: ldexpl.c */
+
+
+// Copyright (c) 2000, 2001, Intel Corporation
+// All rights reserved.
+//
+// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story, 
+// and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation.
+//
+// Redistribution and use in source and binary forms, with or without
+// modification, are permitted provided that the following conditions are
+// met:
+//
+// * Redistributions of source code must retain the above copyright
+// notice, this list of conditions and the following disclaimer.
+//
+// * Redistributions in binary form must reproduce the above copyright
+// notice, this list of conditions and the following disclaimer in the
+// documentation and/or other materials provided with the distribution.
+//
+// * The name of Intel Corporation may not be used to endorse or promote
+// products derived from this software without specific prior written
+// permission.
+
+//
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
+// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS 
+// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
+// OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+//
+// Intel Corporation is the author of this code, and requests that all
+// problem reports or change requests be submitted to it directly at
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
+//
+//
+
+#include "libm_support.h"
+
+long double __libm_ldexpl(long double, int, int);
+
+
+long double ldexpl(long double x, int n)
+{
+
+#ifdef SIZE_INT_64 
+   return __libm_ldexpl(x,n,1);  
+#else
+
+#ifdef SIZE_INT_32 
+   return __libm_ldexpl(x,n,0);
+#endif
+
+#endif
+
+}
diff --git a/sysdeps/ia64/fpu/s_libm_ldexp.S b/sysdeps/ia64/fpu/s_libm_ldexp.S
new file mode 100644
index 0000000000..1fc2c3f80c
--- /dev/null
+++ b/sysdeps/ia64/fpu/s_libm_ldexp.S
@@ -0,0 +1,382 @@
+.file "libm_ldexp.s"
+
+
+// Copyright (c) 2000 - 2003, Intel Corporation
+// All rights reserved.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
+//
+// Redistribution and use in source and binary forms, with or without
+// modification, are permitted provided that the following conditions are
+// met:
+//
+// * Redistributions of source code must retain the above copyright
+// notice, this list of conditions and the following disclaimer.
+//
+// * Redistributions in binary form must reproduce the above copyright
+// notice, this list of conditions and the following disclaimer in the
+// documentation and/or other materials provided with the distribution.
+//
+// * The name of Intel Corporation may not be used to endorse or promote
+// products derived from this software without specific prior written
+// permission.
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
+// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS 
+// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, 
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY 
+// OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 
+// 
+// Intel Corporation is the author of this code, and requests that all
+// problem reports or change requests be submitted to it directly at 
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
+//
+// History
+//==============================================================
+// 02/02/00 Initial version
+// 01/26/01 ldexp completely reworked and now standalone version 
+// 01/04/02 Added handling for int 32 or 64 bits
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 02/10/03 Reordered header: .section, .global, .proc, .align
+//
+// API
+//==============================================================
+// double __libm_ldexp  (double x, int n, int int_type) 
+// input  floating point f8 and int n (r33), int int_type (r34)
+// output floating point f8
+//
+// int_type = 0 if int is 32 bits
+// int_type = 1 if int is 64 bits
+//
+// Returns x* 2**n using an fma and detects overflow
+// and underflow.   
+//
+//
+
+FR_Big         = f6
+FR_NBig        = f7
+FR_Floating_X  = f8
+FR_Result      = f8
+FR_Result2     = f9
+FR_Result3     = f11
+FR_Norm_X      = f12
+FR_Two_N       = f14
+FR_Two_to_Big  = f15
+
+GR_N_Biased    = r15
+GR_Big         = r16
+GR_NBig        = r17
+GR_Scratch     = r18
+GR_Scratch1    = r19
+GR_Bias        = r20
+GR_N_as_int    = r21
+
+GR_SAVE_B0          = r32
+GR_SAVE_GP          = r33
+GR_SAVE_PFS         = r34
+GR_Parameter_X      = r35
+GR_Parameter_Y      = r36
+GR_Parameter_RESULT = r37
+GR_Tag              = r38
+
+.section .text
+GLOBAL_LIBM_ENTRY(__libm_ldexp)
+
+//
+//   Is x NAN, INF, ZERO, +-?
+//   Build the exponent Bias
+//
+{    .mfi
+     alloc         r32=ar.pfs,3,0,4,0
+     fclass.m      p7,p0 = FR_Floating_X, 0xe7 //@snan | @qnan | @inf | @zero
+     addl          GR_Bias = 0x0FFFF,r0
+}
+
+//
+//   Is N zero?
+//   Normalize x
+//   Is integer type 32 bits?
+//
+{    .mfi
+     cmp.eq        p6,p0 = r33,r0  
+     fnorm.s1      FR_Norm_X  =   FR_Floating_X 
+     cmp.eq        p8,p9 = r34,r0  
+}
+;;
+
+//   Sign extend N if int is 32 bits
+{    .mfi
+(p9) mov           GR_N_as_int = r33     // Copy N if int is 64 bits
+     nop.f 0
+(p8) sxt4          GR_N_as_int = r33     // Sign extend N if int is 32 bits
+}
+;;
+
+//
+//   Branch and return special values.
+//   Create -35000
+//   Create 35000
+//
+{    .mfi
+     addl          GR_Big = 35000,r0
+     nop.f         0
+     add           GR_N_Biased = GR_Bias,GR_N_as_int
+}
+{    .mfb
+     addl          GR_NBig = -35000,r0
+(p7) fma.d.s0      FR_Result = FR_Floating_X,f1, f0 
+(p7) br.ret.spnt   b0  
+};;
+
+//
+//   Build the exponent Bias
+//   Return x when N = 0
+//
+{    .mfi
+     setf.exp      FR_Two_N = GR_N_Biased                   
+     nop.f         0
+     addl          GR_Scratch1  = 0x063BF,r0 
+}
+{    .mfb
+     addl          GR_Scratch  = 0x019C3F,r0 
+(p6) fma.d.s0      FR_Result = FR_Floating_X,f1, f0 
+(p6) br.ret.spnt   b0  
+};;
+
+//
+//   Create 2*big
+//   Create 2**-big 
+//   Is N > 35000     
+//   Is N < -35000     
+//   Raise Denormal operand flag with compare
+//   Main path, create 2**N
+//
+{    .mfi
+     setf.exp      FR_NBig = GR_Scratch1                  
+     nop.f         0
+     cmp.ge        p6, p0 = GR_N_as_int, GR_Big
+}
+{    .mfi
+     setf.exp      FR_Big = GR_Scratch                  
+     fcmp.ge.s0    p0,p11 = FR_Floating_X,f0
+     cmp.le        p8, p0 = GR_N_as_int, GR_NBig
+};;
+
+//
+//   Adjust 2**N if N was very small or very large
+//
+{    .mfi
+     nop.m 0
+(p6) fma.s1        FR_Two_N = FR_Big,f1,f0
+     nop.i 0
+}
+{ .mlx
+     nop.m 999
+     movl          GR_Scratch = 0x00000000000303FF 
+};;
+
+
+{    .mfi
+     nop.m 0
+(p8) fma.s1        FR_Two_N = FR_NBig,f1,f0
+     nop.i 0
+}
+{    .mlx
+     nop.m 999
+     movl          GR_Scratch1= 0x00000000000103FF 
+};;
+
+//   Set up necessary status fields 
+//
+//   S0 user supplied status
+//   S2 user supplied status + WRE + TD  (Overflows)
+//   S3 user supplied status + FZ + TD   (Underflows)
+//
+{    .mfi
+     nop.m 999
+     fsetc.s3      0x7F,0x41
+     nop.i 999
+}
+{    .mfi
+     nop.m 999
+     fsetc.s2      0x7F,0x42
+     nop.i 999
+};;
+
+//
+//   Do final operation
+//
+{    .mfi
+     setf.exp      FR_NBig = GR_Scratch
+     fma.d.s0      FR_Result = FR_Two_N,FR_Norm_X,f0 
+     nop.i         999
+}
+{    .mfi
+     nop.m         999
+     fma.d.s3      FR_Result3 = FR_Two_N,FR_Norm_X,f0 
+     nop.i         999
+};;
+{    .mfi
+     setf.exp      FR_Big = GR_Scratch1
+     fma.d.s2      FR_Result2 = FR_Two_N,FR_Norm_X,f0 
+     nop.i         999
+};;
+
+//
+//   Check for overflow or underflow.
+//   Restore s3
+//   Restore s2
+//
+{    .mfi
+     nop.m 0
+     fsetc.s3      0x7F,0x40
+     nop.i 999 
+}
+{    .mfi
+     nop.m 0
+     fsetc.s2      0x7F,0x40
+     nop.i 999
+};;
+
+//
+//   Is the result zero?
+//
+{    .mfi
+     nop.m 999
+     fclass.m      p6, p0 =  FR_Result3, 0x007
+     nop.i 999 
+} 
+{    .mfi
+     addl          GR_Tag = 146, r0
+     fcmp.ge.s1    p7, p8 = FR_Result2 , FR_Big
+     nop.i 0
+};;
+
+//
+//   Detect masked underflow - Tiny + Inexact Only
+//
+{    .mfi
+     nop.m 999
+(p6) fcmp.neq.unc.s1 p6, p0 = FR_Result , FR_Result2
+     nop.i 999 
+};; 
+
+//
+//   Is result bigger the allowed range?
+//   Branch out for underflow
+//
+{    .mfb
+(p6) addl           GR_Tag = 147, r0
+(p8) fcmp.le.unc.s1 p9, p10 = FR_Result2 , FR_NBig
+(p6) br.cond.spnt   LDEXP_UNDERFLOW 
+};;
+
+//
+//   Branch out for overflow
+//
+{ .mbb
+     nop.m 0
+(p7) br.cond.spnt    LDEXP_OVERFLOW 
+(p9) br.cond.spnt    LDEXP_OVERFLOW 
+};;
+
+//
+//   Return from main path.
+//
+{    .mfb
+     nop.m 999
+     nop.f 0
+     br.ret.sptk     b0;;                   
+}
+
+GLOBAL_LIBM_END(__libm_ldexp)
+__libm_error_region:
+
+LDEXP_OVERFLOW: 
+LDEXP_UNDERFLOW: 
+
+//
+// Get stack address of N
+//
+.prologue
+{ .mfi
+    add   GR_Parameter_Y=-32,sp         
+    nop.f 0
+.save   ar.pfs,GR_SAVE_PFS
+    mov  GR_SAVE_PFS=ar.pfs              
+}
+//
+// Adjust sp 
+//
+{ .mfi
+.fframe 64
+   add sp=-64,sp                         
+   nop.f 0
+   mov GR_SAVE_GP=gp       
+};;
+
+//
+//  Store N on stack in correct position 
+//  Locate the address of x on stack
+//
+{ .mmi
+   st8 [GR_Parameter_Y] =  GR_N_as_int,16       
+   add GR_Parameter_X = 16,sp          
+.save   b0, GR_SAVE_B0
+   mov GR_SAVE_B0=b0                  
+};;
+
+//
+// Store x on the stack.
+// Get address for result on stack.
+//
+.body
+{ .mib
+   stfd [GR_Parameter_X] = FR_Norm_X 
+   add   GR_Parameter_RESULT = 0,GR_Parameter_Y   
+   nop.b 0
+}
+{ .mib
+   stfd [GR_Parameter_Y] = FR_Result                 
+   add   GR_Parameter_Y = -16,GR_Parameter_Y
+   br.call.sptk b0=__libm_error_support#   
+};;
+
+//
+//  Get location of result on stack
+//
+{ .mmi
+   nop.m 0
+   nop.m 0
+   add   GR_Parameter_RESULT = 48,sp    
+};;
+
+//
+//  Get the new result 
+//
+{ .mmi
+   ldfd  FR_Result = [GR_Parameter_RESULT]      
+.restore sp
+   add   sp = 64,sp                       
+   mov   b0 = GR_SAVE_B0                  
+};;
+
+//
+//  Restore gp, ar.pfs and return
+//
+{ .mib
+   mov   gp = GR_SAVE_GP                  
+   mov   ar.pfs = GR_SAVE_PFS             
+   br.ret.sptk     b0                  
+};;
+
+LOCAL_LIBM_END(__libm_error_region)
+
+.type   __libm_error_support#,@function
+.global __libm_error_support#
diff --git a/sysdeps/ia64/fpu/s_ldexpf.S b/sysdeps/ia64/fpu/s_libm_ldexpf.S
index 36f0111fe1..d7f161c93d 100644
--- a/sysdeps/ia64/fpu/s_ldexpf.S
+++ b/sysdeps/ia64/fpu/s_libm_ldexpf.S
@@ -1,10 +1,10 @@
-//.file "ldexpf.s"
+.file "libm_ldexpf.s"
 
-// Copyright (C) 2000, 2001, Intel Corporation
+
+// Copyright (c) 2000 - 2003, Intel Corporation
 // All rights reserved.
-// 
-// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story,
-// and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
 //
 // Redistribution and use in source and binary forms, with or without
 // modification, are permitted provided that the following conditions are
@@ -20,7 +20,7 @@
 // * The name of Intel Corporation may not be used to endorse or promote
 // products derived from this software without specific prior written
 // permission.
-//
+
 // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
 // "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
@@ -35,26 +35,30 @@
 // 
 // Intel Corporation is the author of this code, and requests that all
 // problem reports or change requests be submitted to it directly at 
-// http://developer.intel.com/opensource.
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
 //
 // History
 //==============================================================
-// 2/02/00  Initial version
-// 1/26/01  ldexpf completely reworked and now standalone version 
+// 02/02/00 Initial version
+// 01/26/01 ldexpf completely reworked and now standalone version 
+// 01/04/02 Added handling for int 32 or 64 bits
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 02/10/03 Reordered header: .section, .global, .proc, .align
 //
 // API
 //==============================================================
-// float = ldexpf  (float x, int n) 
-// input  floating point f8 and int n (r33) 
+// float __libm_ldexpf  (float x, int n, int int_type) 
+// input  floating point f8 and int n (r33), int int_type (r34)
 // output floating point f8
 //
+// int_type = 0 if int is 32 bits
+// int_type = 1 if int is 64 bits
+//
 // Returns x* 2**n using an fma and detects overflow
 // and underflow.   
 //
 //
 
-#include "libm_support.h"
-
 FR_Big         = f6
 FR_NBig        = f7
 FR_Floating_X  = f8
@@ -81,39 +85,39 @@ GR_Parameter_Y      = r36
 GR_Parameter_RESULT = r37
 GR_Tag              = r38
 
-.align 32
-.global ldexpf
-
 .section .text
-.proc  ldexpf
-.align 32
-
-ldexpf: 
+GLOBAL_LIBM_ENTRY(__libm_ldexpf)
 
 //
 //   Is x NAN, INF, ZERO, +-?
 //   Build the exponent Bias
 //
 {    .mfi
-     alloc         r32=ar.pfs,1,2,4,0
-     fclass.m.unc  p7,p0 = FR_Floating_X, 0xe7 //@snan | @qnan | @inf | @zero
+     alloc         r32=ar.pfs,3,0,4,0
+     fclass.m      p7,p0 = FR_Floating_X, 0xe7 //@snan | @qnan | @inf | @zero
      addl          GR_Bias = 0x0FFFF,r0
 }
-
 //
-//   Sign extend input
 //   Is N zero?
 //   Normalize x
+//   Is integer type 32 bits?
 //
 {    .mfi
-     cmp.eq.unc    p6,p0 = r33,r0  
+     cmp.eq        p6,p0 = r33,r0  
      fnorm.s1      FR_Norm_X  =   FR_Floating_X 
-     sxt4          GR_N_as_int = r33
+     cmp.eq        p8,p9 = r34,r0  
+}
+;;
+
+//   Sign extend N if int is 32 bits
+{    .mfi
+(p9) mov           GR_N_as_int = r33     // Copy N if int is 64 bits
+     nop.f 0
+(p8) sxt4          GR_N_as_int = r33     // Sign extend N if int is 32 bits
 }
 ;;
 
 //
-//   Normalize x
 //   Branch and return special values.
 //   Create -35000
 //   Create 35000
@@ -155,12 +159,12 @@ ldexpf:
 {    .mfi
      setf.exp      FR_NBig = GR_Scratch1                  
      nop.f         0
-     cmp.ge.unc    p6, p0 = GR_N_as_int, GR_Big
+     cmp.ge        p6, p0 = GR_N_as_int, GR_Big
 }
 {    .mfi
      setf.exp      FR_Big = GR_Scratch                  
      fcmp.ge.s0    p0,p11 = FR_Floating_X,f0
-     cmp.le.unc    p8, p0 = GR_N_as_int, GR_NBig
+     cmp.le        p8, p0 = GR_N_as_int, GR_NBig
 };;
 
 //
@@ -173,7 +177,7 @@ ldexpf:
 }
 { .mlx
      nop.m 999
-(p0) movl          GR_Scratch = 0x000000000003007F 
+     movl          GR_Scratch = 0x000000000003007F 
 };;
 
 
@@ -184,7 +188,7 @@ ldexpf:
 }
 {    .mlx
      nop.m 999
-(p0) movl          GR_Scratch1= 0x000000000001007F 
+     movl          GR_Scratch1= 0x000000000001007F 
 };;
 
 //   Set up necessary status fields 
@@ -195,12 +199,12 @@ ldexpf:
 //
 {    .mfi
      nop.m 999
-(p0) fsetc.s3      0x7F,0x41
+     fsetc.s3      0x7F,0x41
      nop.i 999
 }
 {    .mfi
      nop.m 999
-(p0) fsetc.s2      0x7F,0x42
+     fsetc.s2      0x7F,0x42
      nop.i 999
 };;
 
@@ -243,12 +247,12 @@ ldexpf:
 //
 {    .mfi
      nop.m 999
-     fclass.m.unc  p6, p0 =  FR_Result3, 0x007
+     fclass.m      p6, p0 =  FR_Result3, 0x007
      nop.i 999 
 } 
 {    .mfi
      addl          GR_Tag = 148, r0
-     fcmp.ge.unc.s1 p7, p8 = FR_Result2 , FR_Big
+     fcmp.ge.s1    p7, p8 = FR_Result2 , FR_Big
      nop.i 0
 };;
 
@@ -268,7 +272,7 @@ ldexpf:
 {    .mfb
 (p6) addl           GR_Tag = 149, r0
 (p8) fcmp.le.unc.s1 p9, p10 = FR_Result2 , FR_NBig
-(p6) br.cond.spnt   L(ldexpf_UNDERFLOW) 
+(p6) br.cond.spnt   LDEXPF_UNDERFLOW 
 };;
 
 //
@@ -276,8 +280,8 @@ ldexpf:
 //
 { .mbb
      nop.m 0
-(p7) br.cond.spnt   L(ldexpf_OVERFLOW) 
-(p9) br.cond.spnt   L(ldexpf_OVERFLOW) 
+(p7) br.cond.spnt   LDEXPF_OVERFLOW 
+(p9) br.cond.spnt   LDEXPF_OVERFLOW 
 };;
 
 //
@@ -289,13 +293,11 @@ ldexpf:
      br.ret.sptk     b0;;                   
 }
 
-.endp ldexpf
-ASM_SIZE_DIRECTIVE(ldexpf)
-.proc __libm_error_region
+GLOBAL_LIBM_END(__libm_ldexpf)
 __libm_error_region:
 
-L(ldexpf_OVERFLOW): 
-L(ldexpf_UNDERFLOW): 
+LDEXPF_OVERFLOW: 
+LDEXPF_UNDERFLOW: 
 
 //
 // Get stack address of N
@@ -372,8 +374,7 @@ L(ldexpf_UNDERFLOW):
    br.ret.sptk     b0                  
 };;
 
-.endp __libm_error_region
-ASM_SIZE_DIRECTIVE(__libm_error_region)
+LOCAL_LIBM_END(__libm_error_region)
 
 .type   __libm_error_support#,@function
 .global __libm_error_support#
diff --git a/sysdeps/ia64/fpu/s_ldexpl.S b/sysdeps/ia64/fpu/s_libm_ldexpl.S
index fb5d3fd452..72d45602cf 100644
--- a/sysdeps/ia64/fpu/s_ldexpl.S
+++ b/sysdeps/ia64/fpu/s_libm_ldexpl.S
@@ -1,10 +1,10 @@
-//.file "ldexpl.s"
+.file "libm_ldexpl.s"
 
-// Copyright (C) 2000, 2001, Intel Corporation
+
+// Copyright (c) 2000 - 2003, Intel Corporation
 // All rights reserved.
-// 
-// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story,
-// and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
 //
 // Redistribution and use in source and binary forms, with or without
 // modification, are permitted provided that the following conditions are
@@ -20,7 +20,7 @@
 // * The name of Intel Corporation may not be used to endorse or promote
 // products derived from this software without specific prior written
 // permission.
-//
+
 // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
 // "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
@@ -35,26 +35,30 @@
 // 
 // Intel Corporation is the author of this code, and requests that all
 // problem reports or change requests be submitted to it directly at 
-// http://developer.intel.com/opensource.
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
 //
 // History
 //==============================================================
-// 2/02/00  Initial version
-// 1/26/01  ldexpl completely reworked and now standalone version 
+// 02/02/00 Initial version
+// 01/26/01 ldexpl completely reworked and now standalone version 
+// 01/04/02 Added handling for int 32 or 64 bits
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 02/10/03 Reordered header: .section, .global, .proc, .align
 //
 // API
 //==============================================================
-// double-extended = ldexpl  (double-extended x, int n) 
-// input  floating point f8 and int n (r34) 
+// long double __libm_ldexpl  (long double x, int n, int int_type) 
+// input  floating point f8 and int n (r34), int int_type (r35)
 // output floating point f8
 //
+// int_type = 0 if int is 32 bits
+// int_type = 1 if int is 64 bits
+//
 // Returns x* 2**n using an fma and detects overflow
 // and underflow.   
 //
 //
 
-#include "libm_support.h"
-
 FR_Big         = f6
 FR_NBig        = f7
 FR_Floating_X  = f8
@@ -81,39 +85,40 @@ GR_Parameter_Y      = r36
 GR_Parameter_RESULT = r37
 GR_Tag              = r38
 
-.align 32
-.global ldexpl
-
 .section .text
-.proc  ldexpl
-.align 32
-
-ldexpl: 
+GLOBAL_LIBM_ENTRY(__libm_ldexpl)
 
 //
 //   Is x NAN, INF, ZERO, +-?
 //   Build the exponent Bias
 //
 {    .mfi
-     alloc         r32=ar.pfs,2,1,4,0
-     fclass.m.unc  p7,p0 = FR_Floating_X, 0xe7 //@snan | @qnan | @inf | @zero
+     alloc         r32=ar.pfs,3,0,4,0
+     fclass.m      p7,p0 = FR_Floating_X, 0xe7 //@snan | @qnan | @inf | @zero
      addl          GR_Bias = 0x0FFFF,r0
 }
 
 //
-//   Sign extend input
 //   Is N zero?
 //   Normalize x
+//   Is integer type 32 bits?
 //
 {    .mfi
-     cmp.eq.unc    p6,p0 = r34,r0  
+     cmp.eq        p6,p0 = r34,r0  
      fnorm.s1      FR_Norm_X  =   FR_Floating_X 
-     sxt4          GR_N_as_int = r34
+     cmp.eq        p8,p9 = r35,r0  
+}
+;;
+
+//   Sign extend N if int is 32 bits
+{    .mfi
+(p9) mov           GR_N_as_int = r34     // Copy N if int is 64 bits
+     nop.f 0
+(p8) sxt4          GR_N_as_int = r34     // Sign extend N if int is 32 bits
 }
 ;;
 
 //
-//   Normalize x
 //   Branch and return special values.
 //   Create -35000
 //   Create 35000
@@ -125,7 +130,7 @@ ldexpl:
 }
 {    .mfb
      addl          GR_NBig = -35000,r0
-(p7) fma.s0      FR_Result = FR_Floating_X,f1, f0 
+(p7) fma.s0        FR_Result = FR_Floating_X,f1, f0 
 (p7) br.ret.spnt   b0  
 };;
 
@@ -140,7 +145,7 @@ ldexpl:
 }
 {    .mfb
      addl          GR_Scratch  = 0x019C3F,r0 
-(p6) fma.s0      FR_Result = FR_Floating_X,f1, f0 
+(p6) fma.s0        FR_Result = FR_Floating_X,f1, f0 
 (p6) br.ret.spnt   b0  
 };;
 
@@ -155,12 +160,12 @@ ldexpl:
 {    .mfi
      setf.exp      FR_NBig = GR_Scratch1                  
      nop.f         0
-     cmp.ge.unc    p6, p0 = GR_N_as_int, GR_Big
+     cmp.ge        p6, p0 = GR_N_as_int, GR_Big
 }
 {    .mfi
      setf.exp      FR_Big = GR_Scratch                  
      fcmp.ge.s0    p0,p11 = FR_Floating_X,f0
-     cmp.le.unc    p8, p0 = GR_N_as_int, GR_NBig
+     cmp.le        p8, p0 = GR_N_as_int, GR_NBig
 };;
 
 //
@@ -173,7 +178,7 @@ ldexpl:
 }
 { .mlx
      nop.m 999
-(p0) movl          GR_Scratch = 0x0000000000033FFF 
+     movl          GR_Scratch = 0x0000000000033FFF 
 };;
 
 
@@ -184,7 +189,7 @@ ldexpl:
 }
 {    .mlx
      nop.m 999
-(p0) movl          GR_Scratch1= 0x0000000000013FFF 
+     movl          GR_Scratch1= 0x0000000000013FFF 
 };;
 
 //   Set up necessary status fields 
@@ -195,12 +200,12 @@ ldexpl:
 //
 {    .mfi
      nop.m 999
-(p0) fsetc.s3      0x7F,0x41
+     fsetc.s3      0x7F,0x41
      nop.i 999
 }
 {    .mfi
      nop.m 999
-(p0) fsetc.s2      0x7F,0x42
+     fsetc.s2      0x7F,0x42
      nop.i 999
 };;
 
@@ -209,17 +214,17 @@ ldexpl:
 //
 {    .mfi
      setf.exp      FR_NBig = GR_Scratch
-     fma.s0      FR_Result = FR_Two_N,FR_Norm_X,f0 
+     fma.s0        FR_Result = FR_Two_N,FR_Norm_X,f0 
      nop.i         999
 }
 {    .mfi
      nop.m         999
-     fma.s3      FR_Result3 = FR_Two_N,FR_Norm_X,f0 
+     fma.s3        FR_Result3 = FR_Two_N,FR_Norm_X,f0 
      nop.i         999
 };;
 {    .mfi
      setf.exp      FR_Big = GR_Scratch1
-     fma.s2      FR_Result2 = FR_Two_N,FR_Norm_X,f0 
+     fma.s2        FR_Result2 = FR_Two_N,FR_Norm_X,f0 
      nop.i         999
 };;
 
@@ -243,12 +248,12 @@ ldexpl:
 //
 {    .mfi
      nop.m 999
-     fclass.m.unc  p6, p0 =  FR_Result3, 0x007
+     fclass.m      p6, p0 =  FR_Result3, 0x007
      nop.i 999 
 } 
 {    .mfi
      addl          GR_Tag = 144, r0
-     fcmp.ge.unc.s1 p7, p8 = FR_Result2 , FR_Big
+     fcmp.ge.s1    p7, p8 = FR_Result2 , FR_Big
      nop.i 0
 };;
 
@@ -268,7 +273,7 @@ ldexpl:
 {    .mfb
 (p6) addl           GR_Tag = 145, r0
 (p8) fcmp.le.unc.s1 p9, p10 = FR_Result2 , FR_NBig
-(p6) br.cond.spnt   L(ldexpl_UNDERFLOW) 
+(p6) br.cond.spnt   LDEXPL_UNDERFLOW 
 };;
 
 //
@@ -276,8 +281,8 @@ ldexpl:
 //
 { .mbb
      nop.m 0
-(p7) br.cond.spnt   L(ldexpl_OVERFLOW) 
-(p9) br.cond.spnt   L(ldexpl_OVERFLOW) 
+(p7) br.cond.spnt   LDEXPL_OVERFLOW 
+(p9) br.cond.spnt   LDEXPL_OVERFLOW 
 };;
 
 //
@@ -289,13 +294,11 @@ ldexpl:
      br.ret.sptk     b0;;                   
 }
 
-.endp ldexpl
-ASM_SIZE_DIRECTIVE(ldexpl)
-.proc __libm_error_region
+GLOBAL_LIBM_END(__libm_ldexpl)
 __libm_error_region:
 
-L(ldexpl_OVERFLOW): 
-L(ldexpl_UNDERFLOW): 
+LDEXPL_OVERFLOW: 
+LDEXPL_UNDERFLOW: 
 
 //
 // Get stack address of N
@@ -372,8 +375,7 @@ L(ldexpl_UNDERFLOW):
    br.ret.sptk     b0                  
 };;
 
-.endp __libm_error_region
-ASM_SIZE_DIRECTIVE(__libm_error_region)
+LOCAL_LIBM_END(__libm_error_region)
 
 .type   __libm_error_support#,@function
 .global __libm_error_support#
diff --git a/sysdeps/ia64/fpu/s_scalbn.S b/sysdeps/ia64/fpu/s_libm_scalbn.S
index 50d14b4e30..fb7ab93ff3 100644
--- a/sysdeps/ia64/fpu/s_scalbn.S
+++ b/sysdeps/ia64/fpu/s_libm_scalbn.S
@@ -1,10 +1,10 @@
-.file "scalbn.s"
+.file "libm_scalbn.s"
 
-// Copyright (C) 2000, 2001, Intel Corporation
+
+// Copyright (c) 2000 - 2003, Intel Corporation
 // All rights reserved.
-// 
-// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story,
-// and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
 //
 // Redistribution and use in source and binary forms, with or without
 // modification, are permitted provided that the following conditions are
@@ -20,7 +20,7 @@
 // * The name of Intel Corporation may not be used to endorse or promote
 // products derived from this software without specific prior written
 // permission.
-//
+
 // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
 // "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
@@ -35,26 +35,30 @@
 // 
 // Intel Corporation is the author of this code, and requests that all
 // problem reports or change requests be submitted to it directly at 
-// http://developer.intel.com/opensource.
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
 //
 // History
 //==============================================================
-// 2/02/00  Initial version
-// 1/26/01  Scalbn completely reworked and now standalone version 
+// 02/02/00 Initial version
+// 01/26/01 Scalbn completely reworked and now standalone version 
+// 01/04/02 Added handling for int 32 or 64 bits
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 02/10/03 Reordered header: .section, .global, .proc, .align
 //
 // API
 //==============================================================
-// double = scalbn  (double x, int n) 
-// input  floating point f8 and int n (r33) 
+// double __libm_scalbn  (double x, int n, int int_type) 
+// input  floating point f8 and int n (r33), int int_type (r34)
 // output floating point f8
 //
+// int_type = 0 if int is 32 bits
+// int_type = 1 if int is 64 bits
+//
 // Returns x* 2**n using an fma and detects overflow
 // and underflow.   
 //
 //
 
-#include "libm_support.h"
-
 FR_Big         = f6
 FR_NBig        = f7
 FR_Floating_X  = f8
@@ -81,39 +85,40 @@ GR_Parameter_Y      = r36
 GR_Parameter_RESULT = r37
 GR_Tag              = r38
 
-.align 32
-.global scalbn
-
 .section .text
-.proc  scalbn
-.align 32
-
-scalbn: 
+GLOBAL_LIBM_ENTRY(__libm_scalbn)
 
 //
 //   Is x NAN, INF, ZERO, +-?
 //   Build the exponent Bias
 //
 {    .mfi
-     alloc         r32=ar.pfs,1,2,4,0
-     fclass.m.unc  p7,p0 = FR_Floating_X, 0xe7 //@snan | @qnan | @inf | @zero
+     alloc         r32=ar.pfs,3,0,4,0
+     fclass.m      p7,p0 = FR_Floating_X, 0xe7 //@snan | @qnan | @inf | @zero
      addl          GR_Bias = 0x0FFFF,r0
 }
 
 //
-//   Sign extend input
 //   Is N zero?
 //   Normalize x
+//   Is integer type 32 bits?
 //
 {    .mfi
-     cmp.eq.unc    p6,p0 = r33,r0  
+     cmp.eq        p6,p0 = r33,r0  
      fnorm.s1      FR_Norm_X  =   FR_Floating_X 
-     sxt4          GR_N_as_int = r33
+     cmp.eq        p8,p9 = r34,r0  
+}
+;;
+
+//   Sign extend N if int is 32 bits
+{    .mfi
+(p9) mov           GR_N_as_int = r33     // Copy N if int is 64 bits
+     nop.f 0
+(p8) sxt4          GR_N_as_int = r33     // Sign extend N if int is 32 bits
 }
 ;;
 
 //
-//   Normalize x
 //   Branch and return special values.
 //   Create -35000
 //   Create 35000
@@ -155,12 +160,12 @@ scalbn:
 {    .mfi
      setf.exp      FR_NBig = GR_Scratch1                  
      nop.f         0
-     cmp.ge.unc    p6, p0 = GR_N_as_int, GR_Big
+     cmp.ge        p6, p0 = GR_N_as_int, GR_Big
 }
 {    .mfi
      setf.exp      FR_Big = GR_Scratch                  
      fcmp.ge.s0    p0,p11 = FR_Floating_X,f0
-     cmp.le.unc    p8, p0 = GR_N_as_int, GR_NBig
+     cmp.le        p8, p0 = GR_N_as_int, GR_NBig
 };;
 
 //
@@ -173,7 +178,7 @@ scalbn:
 }
 { .mlx
      nop.m 999
-(p0) movl          GR_Scratch = 0x00000000000303FF 
+     movl          GR_Scratch = 0x00000000000303FF 
 };;
 
 
@@ -184,7 +189,7 @@ scalbn:
 }
 {    .mlx
      nop.m 999
-(p0) movl          GR_Scratch1= 0x00000000000103FF 
+     movl          GR_Scratch1= 0x00000000000103FF 
 };;
 
 //   Set up necessary status fields 
@@ -195,12 +200,12 @@ scalbn:
 //
 {    .mfi
      nop.m 999
-(p0) fsetc.s3      0x7F,0x41
+     fsetc.s3      0x7F,0x41
      nop.i 999
 }
 {    .mfi
      nop.m 999
-(p0) fsetc.s2      0x7F,0x42
+     fsetc.s2      0x7F,0x42
      nop.i 999
 };;
 
@@ -243,12 +248,12 @@ scalbn:
 //
 {    .mfi
      nop.m 999
-     fclass.m.unc  p6, p0 =  FR_Result3, 0x007
+     fclass.m      p6, p0 =  FR_Result3, 0x007
      nop.i 999 
 } 
 {    .mfi
      addl          GR_Tag = 176, r0
-     fcmp.ge.unc.s1 p7, p8 = FR_Result2 , FR_Big
+     fcmp.ge.s1    p7, p8 = FR_Result2 , FR_Big
      nop.i 0
 };;
 
@@ -268,7 +273,7 @@ scalbn:
 {    .mfb
 (p6) addl           GR_Tag = 177, r0
 (p8) fcmp.le.unc.s1 p9, p10 = FR_Result2 , FR_NBig
-(p6) br.cond.spnt   L(SCALBN_UNDERFLOW) 
+(p6) br.cond.spnt   SCALBN_UNDERFLOW 
 };;
 
 //
@@ -276,8 +281,8 @@ scalbn:
 //
 { .mbb
      nop.m 0
-(p7) br.cond.spnt   L(SCALBN_OVERFLOW) 
-(p9) br.cond.spnt   L(SCALBN_OVERFLOW) 
+(p7) br.cond.spnt   SCALBN_OVERFLOW 
+(p9) br.cond.spnt   SCALBN_OVERFLOW 
 };;
 
 //
@@ -289,13 +294,11 @@ scalbn:
      br.ret.sptk     b0;;                   
 }
 
-.endp scalbn
-ASM_SIZE_DIRECTIVE(scalbn)
-.proc __libm_error_region
+GLOBAL_LIBM_END(__libm_scalbn)
 __libm_error_region:
 
-L(SCALBN_OVERFLOW): 
-L(SCALBN_UNDERFLOW): 
+SCALBN_OVERFLOW: 
+SCALBN_UNDERFLOW: 
 
 //
 // Get stack address of N
@@ -372,8 +375,7 @@ L(SCALBN_UNDERFLOW):
    br.ret.sptk     b0                  
 };;
 
-.endp __libm_error_region
-ASM_SIZE_DIRECTIVE(scalbn)
+LOCAL_LIBM_END(__libm_error_region)
 
 .type   __libm_error_support#,@function
 .global __libm_error_support#
diff --git a/sysdeps/ia64/fpu/s_libm_scalbnf.S b/sysdeps/ia64/fpu/s_libm_scalbnf.S
new file mode 100644
index 0000000000..57ab2cc283
--- /dev/null
+++ b/sysdeps/ia64/fpu/s_libm_scalbnf.S
@@ -0,0 +1,381 @@
+.file "libm_scalbnf.s"
+
+
+// Copyright (c) 2000 - 2003, Intel Corporation
+// All rights reserved.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
+//
+// Redistribution and use in source and binary forms, with or without
+// modification, are permitted provided that the following conditions are
+// met:
+//
+// * Redistributions of source code must retain the above copyright
+// notice, this list of conditions and the following disclaimer.
+//
+// * Redistributions in binary form must reproduce the above copyright
+// notice, this list of conditions and the following disclaimer in the
+// documentation and/or other materials provided with the distribution.
+//
+// * The name of Intel Corporation may not be used to endorse or promote
+// products derived from this software without specific prior written
+// permission.
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
+// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS 
+// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, 
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY 
+// OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 
+// 
+// Intel Corporation is the author of this code, and requests that all
+// problem reports or change requests be submitted to it directly at 
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
+//
+// History
+//==============================================================
+// 02/02/00 Initial version
+// 01/26/01 scalbnf completely reworked and now standalone version 
+// 01/04/02 Added handling for int 32 or 64 bits
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 02/10/03 Reordered header: .section, .global, .proc, .align
+//
+// API
+//==============================================================
+// float __libm_scalbnf  (float x, int n, int int_type) 
+// input  floating point f8 and int n (r33), int int_type (r34)
+// output floating point f8
+//
+// int_type = 0 if int is 32 bits
+// int_type = 1 if int is 64 bits
+//
+// Returns x* 2**n using an fma and detects overflow
+// and underflow.   
+//
+//
+
+FR_Big         = f6
+FR_NBig        = f7
+FR_Floating_X  = f8
+FR_Result      = f8
+FR_Result2     = f9
+FR_Result3     = f11
+FR_Norm_X      = f12
+FR_Two_N       = f14
+FR_Two_to_Big  = f15
+
+GR_N_Biased    = r15
+GR_Big         = r16
+GR_NBig        = r17
+GR_Scratch     = r18
+GR_Scratch1    = r19
+GR_Bias        = r20
+GR_N_as_int    = r21
+
+GR_SAVE_B0          = r32
+GR_SAVE_GP          = r33
+GR_SAVE_PFS         = r34
+GR_Parameter_X      = r35
+GR_Parameter_Y      = r36
+GR_Parameter_RESULT = r37
+GR_Tag              = r38
+
+.section .text
+GLOBAL_LIBM_ENTRY(__libm_scalbnf)
+
+//
+//   Is x NAN, INF, ZERO, +-?
+//   Build the exponent Bias
+//
+{    .mfi
+     alloc         r32=ar.pfs,3,0,4,0
+     fclass.m      p7,p0 = FR_Floating_X, 0xe7 //@snan | @qnan | @inf | @zero
+     addl          GR_Bias = 0x0FFFF,r0
+}
+
+//
+//   Is N zero?
+//   Normalize x
+//   Is integer type 32 bits?
+//
+{    .mfi
+     cmp.eq        p6,p0 = r33,r0  
+     fnorm.s1      FR_Norm_X  =   FR_Floating_X 
+     cmp.eq        p8,p9 = r34,r0  
+}
+;;
+
+//   Sign extend N if int is 32 bits
+{    .mfi
+(p9) mov           GR_N_as_int = r33     // Copy N if int is 64 bits
+     nop.f 0
+(p8) sxt4          GR_N_as_int = r33     // Sign extend N if int is 32 bits
+}
+;;
+
+//
+//   Branch and return special values.
+//   Create -35000
+//   Create 35000
+//
+{    .mfi
+     addl          GR_Big = 35000,r0
+     nop.f         0
+     add           GR_N_Biased = GR_Bias,GR_N_as_int
+}
+{    .mfb
+     addl          GR_NBig = -35000,r0
+(p7) fma.s.s0      FR_Result = FR_Floating_X,f1, f0 
+(p7) br.ret.spnt   b0  
+};;
+
+//
+//   Build the exponent Bias
+//   Return x when N = 0
+//
+{    .mfi
+     setf.exp      FR_Two_N = GR_N_Biased                   
+     nop.f         0
+     addl          GR_Scratch1  = 0x063BF,r0 
+}
+{    .mfb
+     addl          GR_Scratch  = 0x019C3F,r0 
+(p6) fma.s.s0      FR_Result = FR_Floating_X,f1, f0 
+(p6) br.ret.spnt   b0  
+};;
+
+//
+//   Create 2*big
+//   Create 2**-big 
+//   Is N > 35000     
+//   Is N < -35000     
+//   Raise Denormal operand flag with compare
+//   Main path, create 2**N
+//
+{    .mfi
+     setf.exp      FR_NBig = GR_Scratch1                  
+     nop.f         0
+     cmp.ge        p6, p0 = GR_N_as_int, GR_Big
+}
+{    .mfi
+     setf.exp      FR_Big = GR_Scratch                  
+     fcmp.ge.s0    p0,p11 = FR_Floating_X,f0
+     cmp.le        p8, p0 = GR_N_as_int, GR_NBig
+};;
+
+//
+//   Adjust 2**N if N was very small or very large
+//
+{    .mfi
+     nop.m 0
+(p6) fma.s1        FR_Two_N = FR_Big,f1,f0
+     nop.i 0
+}
+{ .mlx
+     nop.m 999
+     movl          GR_Scratch = 0x000000000003007F 
+};;
+
+
+{    .mfi
+     nop.m 0
+(p8) fma.s1        FR_Two_N = FR_NBig,f1,f0
+     nop.i 0
+}
+{    .mlx
+     nop.m 999
+     movl          GR_Scratch1= 0x000000000001007F 
+};;
+
+//   Set up necessary status fields 
+//
+//   S0 user supplied status
+//   S2 user supplied status + WRE + TD  (Overflows)
+//   S3 user supplied status + FZ + TD   (Underflows)
+//
+{    .mfi
+     nop.m 999
+     fsetc.s3      0x7F,0x41
+     nop.i 999
+}
+{    .mfi
+     nop.m 999
+     fsetc.s2      0x7F,0x42
+     nop.i 999
+};;
+
+//
+//   Do final operation
+//
+{    .mfi
+     setf.exp      FR_NBig = GR_Scratch
+     fma.s.s0      FR_Result = FR_Two_N,FR_Norm_X,f0 
+     nop.i         999
+}
+{    .mfi
+     nop.m         999
+     fma.s.s3      FR_Result3 = FR_Two_N,FR_Norm_X,f0 
+     nop.i         999
+};;
+{    .mfi
+     setf.exp      FR_Big = GR_Scratch1
+     fma.s.s2      FR_Result2 = FR_Two_N,FR_Norm_X,f0 
+     nop.i         999
+};;
+
+//   Check for overflow or underflow.
+//   Restore s3
+//   Restore s2
+//
+{    .mfi
+     nop.m 0
+     fsetc.s3      0x7F,0x40
+     nop.i 999 
+}
+{    .mfi
+     nop.m 0
+     fsetc.s2      0x7F,0x40
+     nop.i 999
+};;
+
+//
+//   Is the result zero?
+//
+{    .mfi
+     nop.m 999
+     fclass.m      p6, p0 =  FR_Result3, 0x007
+     nop.i 999 
+} 
+{    .mfi
+     addl          GR_Tag = 178, r0
+     fcmp.ge.s1    p7, p8 = FR_Result2 , FR_Big
+     nop.i 0
+};;
+
+//
+//   Detect masked underflow - Tiny + Inexact Only
+//
+{    .mfi
+     nop.m 999
+(p6) fcmp.neq.unc.s1 p6, p0 = FR_Result , FR_Result2
+     nop.i 999 
+};; 
+
+//
+//   Is result bigger the allowed range?
+//   Branch out for underflow
+//
+{    .mfb
+(p6) addl           GR_Tag = 179, r0
+(p8) fcmp.le.unc.s1 p9, p10 = FR_Result2 , FR_NBig
+(p6) br.cond.spnt   SCALBNF_UNDERFLOW 
+};;
+
+//
+//   Branch out for overflow
+//
+{ .mbb
+     nop.m 0
+(p7) br.cond.spnt   SCALBNF_OVERFLOW 
+(p9) br.cond.spnt   SCALBNF_OVERFLOW 
+};;
+
+//
+//   Return from main path.
+//
+{    .mfb
+     nop.m 999
+     nop.f 0
+     br.ret.sptk     b0;;                   
+}
+
+GLOBAL_LIBM_END(__libm_scalbnf)
+__libm_error_region:
+
+SCALBNF_OVERFLOW: 
+SCALBNF_UNDERFLOW: 
+
+//
+// Get stack address of N
+//
+.prologue
+{ .mfi
+    add   GR_Parameter_Y=-32,sp         
+    nop.f 0
+.save   ar.pfs,GR_SAVE_PFS
+    mov  GR_SAVE_PFS=ar.pfs              
+}
+//
+// Adjust sp 
+//
+{ .mfi
+.fframe 64
+   add sp=-64,sp                         
+   nop.f 0
+   mov GR_SAVE_GP=gp       
+};;
+
+//
+//  Store N on stack in correct position 
+//  Locate the address of x on stack
+//
+{ .mmi
+   st8 [GR_Parameter_Y] =  GR_N_as_int,16       
+   add GR_Parameter_X = 16,sp          
+.save   b0, GR_SAVE_B0
+   mov GR_SAVE_B0=b0                  
+};;
+
+//
+// Store x on the stack.
+// Get address for result on stack.
+//
+.body
+{ .mib
+   stfs [GR_Parameter_X] = FR_Norm_X 
+   add   GR_Parameter_RESULT = 0,GR_Parameter_Y   
+   nop.b 0
+}
+{ .mib
+   stfs [GR_Parameter_Y] = FR_Result                 
+   add   GR_Parameter_Y = -16,GR_Parameter_Y
+   br.call.sptk b0=__libm_error_support#   
+};;
+
+//
+//  Get location of result on stack
+//
+{ .mmi
+   nop.m 0
+   nop.m 0
+   add   GR_Parameter_RESULT = 48,sp    
+};;
+
+//
+//  Get the new result 
+//
+{ .mmi
+   ldfs  FR_Result = [GR_Parameter_RESULT]      
+.restore sp
+   add   sp = 64,sp                       
+   mov   b0 = GR_SAVE_B0                  
+};;
+
+//
+//  Restore gp, ar.pfs and return
+//
+{ .mib
+   mov   gp = GR_SAVE_GP                  
+   mov   ar.pfs = GR_SAVE_PFS             
+   br.ret.sptk     b0                  
+};;
+
+LOCAL_LIBM_END(__libm_error_region)
+
+.type   __libm_error_support#,@function
+.global __libm_error_support#
diff --git a/sysdeps/ia64/fpu/s_scalbnl.S b/sysdeps/ia64/fpu/s_libm_scalbnl.S
index 9e54a2ec0a..6eb6e17f67 100644
--- a/sysdeps/ia64/fpu/s_scalbnl.S
+++ b/sysdeps/ia64/fpu/s_libm_scalbnl.S
@@ -1,10 +1,10 @@
-//.file "scalbnl.s"
+.file "libm_scalbnl.s"
 
-// Copyright (C) 2000, 2001, Intel Corporation
+
+// Copyright (c) 2000 - 2003, Intel Corporation
 // All rights reserved.
-// 
-// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story,
-// and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
 //
 // Redistribution and use in source and binary forms, with or without
 // modification, are permitted provided that the following conditions are
@@ -20,7 +20,7 @@
 // * The name of Intel Corporation may not be used to endorse or promote
 // products derived from this software without specific prior written
 // permission.
-//
+
 // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
 // "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
@@ -35,26 +35,30 @@
 // 
 // Intel Corporation is the author of this code, and requests that all
 // problem reports or change requests be submitted to it directly at 
-// http://developer.intel.com/opensource.
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
 //
 // History
 //==============================================================
-// 2/02/00  Initial version
-// 1/26/01  scalbnl completely reworked and now standalone version 
+// 02/02/00 Initial version
+// 01/26/01 scalbnl completely reworked and now standalone version 
+// 01/04/02 Added handling for int 32 or 64 bits
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 02/10/03 Reordered header: .section, .global, .proc, .align
 //
 // API
 //==============================================================
-// double-extended = scalbnl  (double-extended x, int n) 
-// input  floating point f8 and int n (r34) 
+// long double __libm_scalbnl  (long double x, int n, int int_type) 
+// input  floating point f8 and int n (r34), int int_type (r35)
 // output floating point f8
 //
+// int_type = 0 if int is 32 bits
+// int_type = 1 if int is 64 bits
+//
 // Returns x* 2**n using an fma and detects overflow
 // and underflow.   
 //
 //
 
-#include "libm_support.h"
-
 FR_Big         = f6
 FR_NBig        = f7
 FR_Floating_X  = f8
@@ -81,39 +85,40 @@ GR_Parameter_Y      = r36
 GR_Parameter_RESULT = r37
 GR_Tag              = r38
 
-.align 32
-.global scalbnl
-
 .section .text
-.proc  scalbnl
-.align 32
-
-scalbnl: 
+GLOBAL_LIBM_ENTRY(__libm_scalbnl)
 
 //
 //   Is x NAN, INF, ZERO, +-?
 //   Build the exponent Bias
 //
 {    .mfi
-     alloc         r32=ar.pfs,2,1,4,0
-     fclass.m.unc  p7,p0 = FR_Floating_X, 0xe7 //@snan | @qnan | @inf | @zero
+     alloc         r32=ar.pfs,3,0,4,0
+     fclass.m      p7,p0 = FR_Floating_X, 0xe7 //@snan | @qnan | @inf | @zero
      addl          GR_Bias = 0x0FFFF,r0
 }
 
 //
-//   Sign extend input
 //   Is N zero?
 //   Normalize x
+//   Is integer type 32 bits?
 //
 {    .mfi
-     cmp.eq.unc    p6,p0 = r34,r0  
+     cmp.eq        p6,p0 = r34,r0  
      fnorm.s1      FR_Norm_X  =   FR_Floating_X 
-     sxt4          GR_N_as_int = r34
+     cmp.eq        p8,p9 = r35,r0  
+}
+;;
+
+//   Sign extend N if int is 32 bits
+{    .mfi
+(p9) mov           GR_N_as_int = r34     // Copy N if int is 64 bits
+     nop.f 0
+(p8) sxt4          GR_N_as_int = r34     // Sign extend N if int is 32 bits
 }
 ;;
 
 //
-//   Normalize x
 //   Branch and return special values.
 //   Create -35000
 //   Create 35000
@@ -155,12 +160,12 @@ scalbnl:
 {    .mfi
      setf.exp      FR_NBig = GR_Scratch1                  
      nop.f         0
-     cmp.ge.unc    p6, p0 = GR_N_as_int, GR_Big
+     cmp.ge        p6, p0 = GR_N_as_int, GR_Big
 }
 {    .mfi
      setf.exp      FR_Big = GR_Scratch                  
      fcmp.ge.s0    p0,p11 = FR_Floating_X,f0
-     cmp.le.unc    p8, p0 = GR_N_as_int, GR_NBig
+     cmp.le        p8, p0 = GR_N_as_int, GR_NBig
 };;
 
 //
@@ -173,7 +178,7 @@ scalbnl:
 }
 { .mlx
      nop.m 999
-(p0) movl          GR_Scratch = 0x0000000000033FFF 
+     movl          GR_Scratch = 0x0000000000033FFF 
 };;
 
 
@@ -184,7 +189,7 @@ scalbnl:
 }
 {    .mlx
      nop.m 999
-(p0) movl          GR_Scratch1= 0x0000000000013FFF 
+     movl          GR_Scratch1= 0x0000000000013FFF 
 };;
 
 //   Set up necessary status fields 
@@ -195,12 +200,12 @@ scalbnl:
 //
 {    .mfi
      nop.m 999
-(p0) fsetc.s3      0x7F,0x41
+     fsetc.s3      0x7F,0x41
      nop.i 999
 }
 {    .mfi
      nop.m 999
-(p0) fsetc.s2      0x7F,0x42
+     fsetc.s2      0x7F,0x42
      nop.i 999
 };;
 
@@ -209,17 +214,17 @@ scalbnl:
 //
 {    .mfi
      setf.exp      FR_NBig = GR_Scratch
-     fma.s0      FR_Result = FR_Two_N,FR_Norm_X,f0 
+     fma.s0        FR_Result = FR_Two_N,FR_Norm_X,f0 
      nop.i         999
 }
 {    .mfi
      nop.m         999
-     fma.s3      FR_Result3 = FR_Two_N,FR_Norm_X,f0 
+     fma.s3        FR_Result3 = FR_Two_N,FR_Norm_X,f0 
      nop.i         999
 };;
 {    .mfi
      setf.exp      FR_Big = GR_Scratch1
-     fma.s2      FR_Result2 = FR_Two_N,FR_Norm_X,f0 
+     fma.s2        FR_Result2 = FR_Two_N,FR_Norm_X,f0 
      nop.i         999
 };;
 
@@ -243,12 +248,12 @@ scalbnl:
 //
 {    .mfi
      nop.m 999
-     fclass.m.unc  p6, p0 =  FR_Result3, 0x007
+     fclass.m      p6, p0 =  FR_Result3, 0x007
      nop.i 999 
 } 
 {    .mfi
      addl          GR_Tag = 174, r0
-     fcmp.ge.unc.s1 p7, p8 = FR_Result2 , FR_Big
+     fcmp.ge.s1    p7, p8 = FR_Result2 , FR_Big
      nop.i 0
 };;
 
@@ -268,7 +273,7 @@ scalbnl:
 {    .mfb
 (p6) addl           GR_Tag = 175, r0
 (p8) fcmp.le.unc.s1 p9, p10 = FR_Result2 , FR_NBig
-(p6) br.cond.spnt   L(scalbnl_UNDERFLOW) 
+(p6) br.cond.spnt   SCALBNL_UNDERFLOW 
 };;
 
 //
@@ -276,8 +281,8 @@ scalbnl:
 //
 { .mbb
      nop.m 0
-(p7) br.cond.spnt   L(scalbnl_OVERFLOW) 
-(p9) br.cond.spnt   L(scalbnl_OVERFLOW) 
+(p7) br.cond.spnt   SCALBNL_OVERFLOW 
+(p9) br.cond.spnt   SCALBNL_OVERFLOW 
 };;
 
 //
@@ -289,13 +294,11 @@ scalbnl:
      br.ret.sptk     b0;;                   
 }
 
-.endp scalbnl
-ASM_SIZE_DIRECTIVE(scalbnl)
-.proc __libm_error_region
+GLOBAL_LIBM_END(__libm_scalbnl)
 __libm_error_region:
 
-L(scalbnl_OVERFLOW): 
-L(scalbnl_UNDERFLOW): 
+SCALBNL_OVERFLOW: 
+SCALBNL_UNDERFLOW: 
 
 //
 // Get stack address of N
@@ -372,8 +375,7 @@ L(scalbnl_UNDERFLOW):
    br.ret.sptk     b0                  
 };;
 
-.endp __libm_error_region
-ASM_SIZE_DIRECTIVE(__libm_error_region)
+LOCAL_LIBM_END(__libm_error_region)
 
 .type   __libm_error_support#,@function
 .global __libm_error_support#
diff --git a/sysdeps/ia64/fpu/s_log1p.S b/sysdeps/ia64/fpu/s_log1p.S
index 0d96c14a55..cd3551984a 100644
--- a/sysdeps/ia64/fpu/s_log1p.S
+++ b/sysdeps/ia64/fpu/s_log1p.S
@@ -1,10 +1,10 @@
-.file "log1p.s" 
+.file "log1p.s"
 
-// Copyright (C) 2000, 2001, Intel Corporation
+
+// Copyright (c) 2000 - 2003, Intel Corporation
 // All rights reserved.
-// 
-// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story,
-// and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
 //
 // Redistribution and use in source and binary forms, with or without
 // modification, are permitted provided that the following conditions are
@@ -20,1608 +20,1082 @@
 // * The name of Intel Corporation may not be used to endorse or promote
 // products derived from this software without specific prior written
 // permission.
-//
-// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
-// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
-// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS 
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
 // CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
-// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, 
-// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 
-// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY 
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
 // OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
-// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 
-// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 
-// 
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+//
 // Intel Corporation is the author of this code, and requests that all
-// problem reports or change requests be submitted to it directly at 
-// http://developer.intel.com/opensource.
+// problem reports or change requests be submitted to it directly at
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
 //
 // History
 //==============================================================
-// 2/02/00  Initial version
-// 4/04/00  Unwind support added
-// 8/15/00  Bundle added after call to __libm_error_support to properly
+// 02/02/00 Initial version
+// 04/04/00 Unwind support added
+// 08/15/00 Bundle added after call to __libm_error_support to properly
 //          set [the previously overwritten] GR_Parameter_RESULT.
+// 06/29/01 Improved speed of all paths
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 10/02/02 Improved performance by basing on log algorithm
+// 02/10/03 Reordered header: .section, .global, .proc, .align
+// 04/18/03 Eliminate possible WAW dependency warning
 //
-// *********************************************************************
-//
-// Function:   log1p(x) = ln(x+1), for double precision x values
-//
-// *********************************************************************
-//
-// Accuracy:   Very accurate for double precision values
-//
-// *********************************************************************
-//
-// Resources Used:
-//
-//    Floating-Point Registers: f8 (Input and Return Value)
-//                              f9,f33-f55,f99 
-//
-//    General Purpose Registers:
-//      r32-r53
-//      r54-r57 (Used to pass arguments to error handling routine)
-//
-//    Predicate Registers:      p6-p15
-//
-// *********************************************************************
-//
-// IEEE Special Conditions:
-//
-//    Denormal  fault raised on denormal inputs
-//    Overflow exceptions cannot occur  
-//    Underflow exceptions raised when appropriate for log1p 
-//    (Error Handling Routine called for underflow)
-//    Inexact raised when appropriate by algorithm
-//
-//    log1p(inf) = inf
-//    log1p(-inf) = QNaN 
-//    log1p(+/-0) = +/-0 
-//    log1p(-1) =  -inf 
-//    log1p(SNaN) = QNaN
-//    log1p(QNaN) = QNaN
-//    log1p(EM_special Values) = QNaN
-//
-// *********************************************************************
-//
-// Computation is based on the following kernel.
-//
-// ker_log_64( in_FR    :  X,
-// 	    in_FR    :  E,
-// 	    in_FR    :  Em1,
-// 	    in_GR    :  Expo_Range,
-// 	    out_FR   :  Y_hi,
-// 	    out_FR   :  Y_lo,
-// 	    out_FR   :  Scale,
-// 	    out_PR   :  Safe  )
-// 
-// Overview
-//
-// The method consists of three cases.
-//
-// If	|X+Em1| < 2^(-80)	use case log1p_small;
-// elseif	|X+Em1| < 2^(-7)	use case log_near1;
-// else				use case log_regular;
-//
-// Case log1p_small:
-//
-// log( 1 + (X+Em1) ) can be approximated by (X+Em1).
-//
-// Case log_near1:
-//
-//   log( 1 + (X+Em1) ) can be approximated by a simple polynomial
-//   in W = X+Em1. This polynomial resembles the truncated Taylor
-//   series W - W^/2 + W^3/3 - ...
-// 
-// Case log_regular:
-//
-//   Here we use a table lookup method. The basic idea is that in
-//   order to compute log(Arg) for an argument Arg in [1,2), we 
-//   construct a value G such that G*Arg is close to 1 and that
-//   log(1/G) is obtainable easily from a table of values calculated
-//   beforehand. Thus
-//
-//	log(Arg) = log(1/G) + log(G*Arg)
-//		 = log(1/G) + log(1 + (G*Arg - 1))
-//
-//   Because |G*Arg - 1| is small, the second term on the right hand
-//   side can be approximated by a short polynomial. We elaborate
-//   this method in four steps.
-//
-//   Step 0: Initialization
-//
-//   We need to calculate log( E + X ). Obtain N, S_hi, S_lo such that
-//
-//	E + X = 2^N * ( S_hi + S_lo )	exactly
-//
-//   where S_hi in [1,2) and S_lo is a correction to S_hi in the sense
-//   that |S_lo| <= ulp(S_hi).
-//
-//   Step 1: Argument Reduction
-//
-//   Based on S_hi, obtain G_1, G_2, G_3 from a table and calculate
-//
-//	G := G_1 * G_2 * G_3
-//	r := (G * S_hi - 1)  + G * S_lo
-//
-//   These G_j's have the property that the product is exactly 
-//   representable and that |r| < 2^(-12) as a result.
-//
-//   Step 2: Approximation
-//
-//
-//   log(1 + r) is approximated by a short polynomial poly(r).
-//
-//   Step 3: Reconstruction
-//
-//
-//   Finally, log( E + X ) is given by
-//
-//   log( E + X )   =   log( 2^N * (S_hi + S_lo) )
-//                 ~=~  N*log(2) + log(1/G) + log(1 + r)
-//                 ~=~  N*log(2) + log(1/G) + poly(r).
-//
-// **** Algorithm ****
-//
-// Case log1p_small:
-//
-// Although log(1 + (X+Em1)) is basically X+Em1, we would like to 
-// preserve the inexactness nature as well as consistent behavior
-// under different rounding modes. Note that this case can only be
-// taken if E is set to be 1.0. In this case, Em1 is zero, and that
-// X can be very tiny and thus the final result can possibly underflow.
-// Thus, we compare X against a threshold that is dependent on the
-// input Expo_Range. If |X| is smaller than this threshold, we set
-// SAFE to be FALSE. 
-//
-// The result is returned as Y_hi, Y_lo, and in the case of SAFE 
-// is FALSE, an additional value Scale is also returned. 
-//
-//	W    := X + Em1
-//      Threshold := Threshold_Table( Expo_Range )
-//      Tiny      := Tiny_Table( Expo_Range )
-//
-//      If ( |W| > Threshold ) then
-//         Y_hi  := W
-//         Y_lo  := -W*W
-//      Else
-//         Y_hi  := W
-//         Y_lo  := -Tiny
-//         Scale := 2^(-100)
-//         Safe  := FALSE
-//      EndIf
-//
-//
-// One may think that Y_lo should be -W*W/2; however, it does not matter
-// as Y_lo will be rounded off completely except for the correct effect in 
-// directed rounding. Clearly -W*W is simplier to compute. Moreover,
-// because of the difference in exponent value, Y_hi + Y_lo or 
-// Y_hi + Scale*Y_lo is always inexact.
-//
-// Case log_near1:
-//
-// Here we compute a simple polynomial. To exploit parallelism, we split
-// the polynomial into two portions.
-// 
-// 	W := X + Em1
-// 	Wsq := W * W
-// 	W4  := Wsq*Wsq
-// 	W6  := W4*Wsq
-// 	Y_hi := W + Wsq*(P_1 + W*(P_2 + W*(P_3 + W*P_4))
-// 	Y_lo := W6*(P_5 + W*(P_6 + W*(P_7 + W*P_8)))
-//      set lsb(Y_lo) to be 1
-//
-// Case log_regular:
-//
-// We present the algorithm in four steps.
-//
-//   Step 0. Initialization
-//   ----------------------
-//
-//   Z := X + E
-//   N := unbaised exponent of Z
-//   S_hi := 2^(-N) * Z
-//   S_lo := 2^(-N) * { (max(X,E)-Z) + min(X,E) }
-//
-//   Note that S_lo is always 0 for the case E = 0.
-//
-//   Step 1. Argument Reduction
-//   --------------------------
-//
-//   Let
-//
-//	Z = 2^N * S_hi = 2^N * 1.d_1 d_2 d_3 ... d_63
-//
-//   We obtain G_1, G_2, G_3 by the following steps.
-//
+// API
+//==============================================================
+// double log1p(double)
 //
-//	Define		X_0 := 1.d_1 d_2 ... d_14. This is extracted
-//			from S_hi.
+// log1p(x) = log(x+1)
 //
-//	Define		A_1 := 1.d_1 d_2 d_3 d_4. This is X_0 truncated
-//			to lsb = 2^(-4).
+// Overview of operation
+//==============================================================
+// Background
+// ----------
 //
-//	Define		index_1 := [ d_1 d_2 d_3 d_4 ].
+// This algorithm is based on fact that
+// log1p(x) = log(1+x) and
+// log(a b) = log(a) + log(b).
+// In our case we have 1+x = 2^N f, where 1 <= f < 2.
+// So
+//   log(1+x) = log(2^N f) = log(2^N) + log(f) = n*log(2) + log(f)
 //
-//	Fetch 		Z_1 := (1/A_1) rounded UP in fixed point with
-//	fixed point	lsb = 2^(-15).
-//			Z_1 looks like z_0.z_1 z_2 ... z_15
-//		        Note that the fetching is done using index_1.
-//			A_1 is actually not needed in the implementation
-//			and is used here only to explain how is the value
-//			Z_1 defined.
+// To calculate log(f) we do following
+//   log(f) = log(f * frcpa(f) / frcpa(f)) =
+//          = log(f * frcpa(f)) + log(1/frcpa(f))
 //
-//	Fetch		G_1 := (1/A_1) truncated to 21 sig. bits.
-//	floating pt.	Again, fetching is done using index_1. A_1
-//			explains how G_1 is defined.
+// According to definition of IA-64's frcpa instruction it's a
+// floating point that approximates 1/f using a lookup on the
+// top of 8 bits of the input number's + 1 significand with relative
+// error < 2^(-8.886). So we have following
 //
-//	Calculate	X_1 := X_0 * Z_1 truncated to lsb = 2^(-14)
-//			     = 1.0 0 0 0 d_5 ... d_14
-//			This is accomplised by integer multiplication.
-//			It is proved that X_1 indeed always begin
-//			with 1.0000 in fixed point.
+// |(1/f - frcpa(f)) / (1/f))| = |1 - f*frcpa(f)| < 1/256
 //
+// and
 //
-//	Define		A_2 := 1.0 0 0 0 d_5 d_6 d_7 d_8. This is X_1 
-//			truncated to lsb = 2^(-8). Similar to A_1,
-//			A_2 is not needed in actual implementation. It
-//			helps explain how some of the values are defined.
+// log(f) = log(f * frcpa(f)) + log(1/frcpa(f)) =
+//        = log(1 + r) + T
 //
-//	Define		index_2 := [ d_5 d_6 d_7 d_8 ].
+// The first value can be computed by polynomial P(r) approximating
+// log(1 + r) on |r| < 1/256 and the second is precomputed tabular
+// value defined by top 8 bit of f.
 //
-//	Fetch 		Z_2 := (1/A_2) rounded UP in fixed point with
-//	fixed point	lsb = 2^(-15). Fetch done using index_2.
-//			Z_2 looks like z_0.z_1 z_2 ... z_15
+// Finally we have that  log(1+x) ~ (N*log(2) + T) + P(r)
 //
-//	Fetch		G_2 := (1/A_2) truncated to 21 sig. bits.
-//	floating pt.
+// Note that if input argument is close to 0.0 (in our case it means
+// that |x| < 1/256) we can use just polynomial approximation
+// because 1+x = 2^0 * f = f = 1 + r and
+// log(1+x) = log(1 + r) ~ P(r)
 //
-//	Calculate	X_2 := X_1 * Z_2 truncated to lsb = 2^(-14)
-//			     = 1.0 0 0 0 0 0 0 0 d_9 d_10 ... d_14
-//			This is accomplised by integer multiplication.
-//			It is proved that X_2 indeed always begin
-//			with 1.00000000 in fixed point.
 //
+// Implementation
+// --------------
 //
-//	Define		A_3 := 1.0 0 0 0 0 0 0 0 d_9 d_10 d_11 d_12 d_13 1.
-//			This is 2^(-14) + X_2 truncated to lsb = 2^(-13).
+// 1. |x| >= 2^(-8), and x > -1
+//   InvX = frcpa(x+1)
+//   r = InvX*(x+1) - 1
+//   P(r) = r*((r*A3 - A2) + r^4*((A4 + r*A5) + r^2*(A6 + r*A7)),
+//   all coefficients are calcutated in quad and rounded to double
+//   precision. A7,A6,A5,A4 are stored in memory whereas A3 and A2
+//   created with setf.
 //
-//	Define		index_3 := [ d_9 d_10 d_11 d_12 d_13 ].
+//   N = float(n) where n is true unbiased exponent of x
 //
-//	Fetch		G_3 := (1/A_3) truncated to 21 sig. bits.
-//	floating pt.	Fetch is done using index_3.
+//   T is tabular value of log(1/frcpa(x)) calculated in quad precision
+//   and represented by two floating-point numbers 64-bit Thi and 32-bit Tlo.
+//   To load Thi,Tlo we get bits from 55 to 62 of register format significand
+//   as index and calculate two addresses
+//     ad_Thi = Thi_table_base_addr + 8 * index
+//     ad_Tlo = Tlo_table_base_addr + 4 * index
 //
-//	Compute		G := G_1 * G_2 * G_3. 
+//   L1 (log(2)) is calculated in quad
+//   precision and represented by two floating-point 64-bit numbers L1hi,L1lo
+//   stored in memory.
 //
-//	This is done exactly since each of G_j only has 21 sig. bits.
+//   And final result = ((L1hi*N + Thi) + (N*L1lo + Tlo)) + P(r)
 //
-//	Compute   
 //
-//		r := (G*S_hi - 1) + G*S_lo   using 2 FMA operations.
+// 2. 2^(-80) <= |x| < 2^(-8)
+//   r = x
+//   P(r) = r*((r*A3 - A2) + r^4*((A4 + r*A5) + r^2*(A6 + r*A7)),
+//   A7,A6,A5,A4,A3,A2 are the same as in case |x| >= 1/256
 //
-//	thus, r approximates G*(S_hi+S_lo) - 1 to within a couple of 
-//	rounding errors.
+//   And final results
+//     log(1+x)   = P(r)
 //
+// 3. 0 < |x| < 2^(-80)
+//   Although log1p(x) is basically x, we would like to preserve the inexactness
+//   nature as well as consistent behavior under different rounding modes.
+//   We can do this by computing the result as
 //
-//  Step 2. Approximation
-//  ---------------------
+//     log1p(x) = x - x*x
 //
-//   This step computes an approximation to log( 1 + r ) where r is the
-//   reduced argument just obtained. It is proved that |r| <= 1.9*2^(-13);
-//   thus log(1+r) can be approximated by a short polynomial:
 //
-//	log(1+r) ~=~ poly = r + Q1 r^2 + ... + Q4 r^5
+//    Note: NaT, any NaNs, +/-INF, +/-0, negatives and unnormalized numbers are
+//          filtered and processed on special branches.
 //
+
 //
-//  Step 3. Reconstruction
-//  ----------------------
+// Special values
+//==============================================================
 //
-//   This step computes the desired result of log(X+E):
+// log1p(-1)    = -inf            // Call error support
 //
-//	log(X+E)  =   log( 2^N * (S_hi + S_lo) )
-//		  =   N*log(2) + log( S_hi + S_lo )
-//		  =   N*log(2) + log(1/G) +
-//		      log(1 + C*(S_hi+S_lo) - 1 )
+// log1p(+qnan) = +qnan
+// log1p(-qnan) = -qnan
+// log1p(+snan) = +qnan
+// log1p(-snan) = -qnan
 //
-//   log(2), log(1/G_j) are stored as pairs of (single,double) numbers:
-//   log2_hi, log2_lo, log1byGj_hi, log1byGj_lo. The high parts are
-//   single-precision numbers and the low parts are double precision
-//   numbers. These have the property that
+// log1p(x),x<-1= QNAN Indefinite // Call error support
+// log1p(-inf)  = QNAN Indefinite
+// log1p(+inf)  = +inf
+// log1p(+/-0)  = +/-0
 //
-//	N*log2_hi + SUM ( log1byGj_hi )
 //
-//   is computable exactly in double-extended precision (64 sig. bits).
-//   Finally
+// Registers used
+//==============================================================
+// Floating Point registers used:
+// f8, input
+// f7 -> f15,  f32 -> f40
 //
-//	Y_hi := N*log2_hi + SUM ( log1byGj_hi )
-//	Y_lo := poly_hi + [ poly_lo + 
-//	        ( SUM ( log1byGj_lo ) + N*log2_lo ) ]
-//      set lsb(Y_lo) to be 1
+// General registers used:
+// r8  -> r11
+// r14 -> r20
 //
+// Predicate registers used:
+// p6 -> p12
 
-#include "libm_support.h"
-
-#ifdef _LIBC
-.rodata
-#else
-.data
-#endif
+// Assembly macros
+//==============================================================
+GR_TAG                 = r8
+GR_ad_1                = r8
+GR_ad_2                = r9
+GR_Exp                 = r10
+GR_N                   = r11
 
-// P_7, P_6, P_5, P_4, P_3, P_2, and P_1 
+GR_signexp_x           = r14
+GR_exp_mask            = r15
+GR_exp_bias            = r16
+GR_05                  = r17
+GR_A3                  = r18
+GR_Sig                 = r19
+GR_Ind                 = r19
+GR_exp_x               = r20
 
-.align 64
-Constants_P:
-ASM_TYPE_DIRECTIVE(Constants_P,@object)
-data4  0xEFD62B15,0xE3936754,0x00003FFB,0x00000000
-data4  0xA5E56381,0x8003B271,0x0000BFFC,0x00000000
-data4  0x73282DB0,0x9249248C,0x00003FFC,0x00000000
-data4  0x47305052,0xAAAAAA9F,0x0000BFFC,0x00000000
-data4  0xCCD17FC9,0xCCCCCCCC,0x00003FFC,0x00000000
-data4  0x00067ED5,0x80000000,0x0000BFFD,0x00000000
-data4  0xAAAAAAAA,0xAAAAAAAA,0x00003FFD,0x00000000
-data4  0xFFFFFFFE,0xFFFFFFFF,0x0000BFFD,0x00000000
-ASM_SIZE_DIRECTIVE(Constants_P)
- 
-// log2_hi, log2_lo, Q_4, Q_3, Q_2, and Q_1 
 
-.align 64
-Constants_Q:
-ASM_TYPE_DIRECTIVE(Constants_Q,@object)
-data4  0x00000000,0xB1721800,0x00003FFE,0x00000000 
-data4  0x4361C4C6,0x82E30865,0x0000BFE2,0x00000000
-data4  0x328833CB,0xCCCCCAF2,0x00003FFC,0x00000000
-data4  0xA9D4BAFB,0x80000077,0x0000BFFD,0x00000000
-data4  0xAAABE3D2,0xAAAAAAAA,0x00003FFD,0x00000000
-data4  0xFFFFDAB7,0xFFFFFFFF,0x0000BFFD,0x00000000
-ASM_SIZE_DIRECTIVE(Constants_Q)
- 
-// Z1 - 16 bit fixed, G1 and H1 - IEEE single 
- 
-.align 64
-Constants_Z_G_H_h1:
-ASM_TYPE_DIRECTIVE(Constants_Z_G_H_h1,@object)
-data4  0x00008000,0x3F800000,0x00000000,0x00000000,0x00000000,0x00000000
-data4  0x00007879,0x3F70F0F0,0x3D785196,0x00000000,0x617D741C,0x3DA163A6
-data4  0x000071C8,0x3F638E38,0x3DF13843,0x00000000,0xCBD3D5BB,0x3E2C55E6
-data4  0x00006BCB,0x3F579430,0x3E2FF9A0,0x00000000,0xD86EA5E7,0xBE3EB0BF
-data4  0x00006667,0x3F4CCCC8,0x3E647FD6,0x00000000,0x86B12760,0x3E2E6A8C
-data4  0x00006187,0x3F430C30,0x3E8B3AE7,0x00000000,0x5C0739BA,0x3E47574C
-data4  0x00005D18,0x3F3A2E88,0x3EA30C68,0x00000000,0x13E8AF2F,0x3E20E30F
-data4  0x0000590C,0x3F321640,0x3EB9CEC8,0x00000000,0xF2C630BD,0xBE42885B
-data4  0x00005556,0x3F2AAAA8,0x3ECF9927,0x00000000,0x97E577C6,0x3E497F34
-data4  0x000051EC,0x3F23D708,0x3EE47FC5,0x00000000,0xA6B0A5AB,0x3E3E6A6E
-data4  0x00004EC5,0x3F1D89D8,0x3EF8947D,0x00000000,0xD328D9BE,0xBDF43E3C
-data4  0x00004BDB,0x3F17B420,0x3F05F3A1,0x00000000,0x0ADB090A,0x3E4094C3
-data4  0x00004925,0x3F124920,0x3F0F4303,0x00000000,0xFC1FE510,0xBE28FBB2
-data4  0x0000469F,0x3F0D3DC8,0x3F183EBF,0x00000000,0x10FDE3FA,0x3E3A7895
-data4  0x00004445,0x3F088888,0x3F20EC80,0x00000000,0x7CC8C98F,0x3E508CE5
-data4  0x00004211,0x3F042108,0x3F29516A,0x00000000,0xA223106C,0xBE534874
-ASM_SIZE_DIRECTIVE(Constants_Z_G_H_h1)
- 
-// Z2 - 16 bit fixed, G2 and H2 - IEEE single 
+GR_SAVE_B0             = r33
+GR_SAVE_PFS            = r34
+GR_SAVE_GP             = r35
+GR_SAVE_SP             = r36
 
-.align 64 
-Constants_Z_G_H_h2:
-ASM_TYPE_DIRECTIVE(Constants_Z_G_H_h2,@object)
-data4  0x00008000,0x3F800000,0x00000000,0x00000000,0x00000000,0x00000000
-data4  0x00007F81,0x3F7F00F8,0x3B7F875D,0x00000000,0x22C42273,0x3DB5A116
-data4  0x00007F02,0x3F7E03F8,0x3BFF015B,0x00000000,0x21F86ED3,0x3DE620CF
-data4  0x00007E85,0x3F7D08E0,0x3C3EE393,0x00000000,0x484F34ED,0xBDAFA07E
-data4  0x00007E08,0x3F7C0FC0,0x3C7E0586,0x00000000,0x3860BCF6,0xBDFE07F0
-data4  0x00007D8D,0x3F7B1880,0x3C9E75D2,0x00000000,0xA78093D6,0x3DEA370F
-data4  0x00007D12,0x3F7A2328,0x3CBDC97A,0x00000000,0x72A753D0,0x3DFF5791
-data4  0x00007C98,0x3F792FB0,0x3CDCFE47,0x00000000,0xA7EF896B,0x3DFEBE6C
-data4  0x00007C20,0x3F783E08,0x3CFC15D0,0x00000000,0x409ECB43,0x3E0CF156
-data4  0x00007BA8,0x3F774E38,0x3D0D874D,0x00000000,0xFFEF71DF,0xBE0B6F97
-data4  0x00007B31,0x3F766038,0x3D1CF49B,0x00000000,0x5D59EEE8,0xBE080483
-data4  0x00007ABB,0x3F757400,0x3D2C531D,0x00000000,0xA9192A74,0x3E1F91E9
-data4  0x00007A45,0x3F748988,0x3D3BA322,0x00000000,0xBF72A8CD,0xBE139A06
-data4  0x000079D1,0x3F73A0D0,0x3D4AE46F,0x00000000,0xF8FBA6CF,0x3E1D9202
-data4  0x0000795D,0x3F72B9D0,0x3D5A1756,0x00000000,0xBA796223,0xBE1DCCC4
-data4  0x000078EB,0x3F71D488,0x3D693B9D,0x00000000,0xB6B7C239,0xBE049391
-ASM_SIZE_DIRECTIVE(Constants_Z_G_H_h2)
- 
-// G3 and H3 - IEEE single and h3 -IEEE double 
+GR_Parameter_X         = r37
+GR_Parameter_Y         = r38
+GR_Parameter_RESULT    = r39
+GR_Parameter_TAG       = r40
 
-.align 64 
-Constants_Z_G_H_h3:
-ASM_TYPE_DIRECTIVE(Constants_Z_G_H_h3,@object)
-data4  0x3F7FFC00,0x38800100,0x562224CD,0x3D355595
-data4  0x3F7FF400,0x39400480,0x06136FF6,0x3D8200A2
-data4  0x3F7FEC00,0x39A00640,0xE8DE9AF0,0x3DA4D68D
-data4  0x3F7FE400,0x39E00C41,0xB10238DC,0xBD8B4291
-data4  0x3F7FDC00,0x3A100A21,0x3B1952CA,0xBD89CCB8
-data4  0x3F7FD400,0x3A300F22,0x1DC46826,0xBDB10707
-data4  0x3F7FCC08,0x3A4FF51C,0xF43307DB,0x3DB6FCB9
-data4  0x3F7FC408,0x3A6FFC1D,0x62DC7872,0xBD9B7C47
-data4  0x3F7FBC10,0x3A87F20B,0x3F89154A,0xBDC3725E
-data4  0x3F7FB410,0x3A97F68B,0x62B9D392,0xBD93519D
-data4  0x3F7FAC18,0x3AA7EB86,0x0F21BD9D,0x3DC18441
-data4  0x3F7FA420,0x3AB7E101,0x2245E0A6,0xBDA64B95
-data4  0x3F7F9C20,0x3AC7E701,0xAABB34B8,0x3DB4B0EC
-data4  0x3F7F9428,0x3AD7DD7B,0x6DC40A7E,0x3D992337
-data4  0x3F7F8C30,0x3AE7D474,0x4F2083D3,0x3DC6E17B
-data4  0x3F7F8438,0x3AF7CBED,0x811D4394,0x3DAE314B
-data4  0x3F7F7C40,0x3B03E1F3,0xB08F2DB1,0xBDD46F21
-data4  0x3F7F7448,0x3B0BDE2F,0x6D34522B,0xBDDC30A4
-data4  0x3F7F6C50,0x3B13DAAA,0xB1F473DB,0x3DCB0070
-data4  0x3F7F6458,0x3B1BD766,0x6AD282FD,0xBDD65DDC
-data4  0x3F7F5C68,0x3B23CC5C,0xF153761A,0xBDCDAB83
-data4  0x3F7F5470,0x3B2BC997,0x341D0F8F,0xBDDADA40
-data4  0x3F7F4C78,0x3B33C711,0xEBC394E8,0x3DCD1BD7
-data4  0x3F7F4488,0x3B3BBCC6,0x52E3E695,0xBDC3532B
-data4  0x3F7F3C90,0x3B43BAC0,0xE846B3DE,0xBDA3961E
-data4  0x3F7F34A0,0x3B4BB0F4,0x785778D4,0xBDDADF06
-data4  0x3F7F2CA8,0x3B53AF6D,0xE55CE212,0x3DCC3ED1
-data4  0x3F7F24B8,0x3B5BA620,0x9E382C15,0xBDBA3103
-data4  0x3F7F1CC8,0x3B639D12,0x5C5AF197,0x3D635A0B
-data4  0x3F7F14D8,0x3B6B9444,0x71D34EFC,0xBDDCCB19
-data4  0x3F7F0CE0,0x3B7393BC,0x52CD7ADA,0x3DC74502
-data4  0x3F7F04F0,0x3B7B8B6D,0x7D7F2A42,0xBDB68F17
-ASM_SIZE_DIRECTIVE(Constants_Z_G_H_h3)
- 
-// 
-//  Exponent Thresholds and Tiny Thresholds
-//  for 8, 11, 15, and 17 bit exponents
-// 
-//  Expo_Range             Value
-// 
-//  0 (8  bits)            2^(-126)
-//  1 (11 bits)            2^(-1022)
-//  2 (15 bits)            2^(-16382)
-//  3 (17 bits)            2^(-16382)
-// 
-//  Tiny_Table
-//  ----------
-//  Expo_Range             Value
-// 
-//  0 (8  bits)            2^(-16382)
-//  1 (11 bits)            2^(-16382)
-//  2 (15 bits)            2^(-16382)
-//  3 (17 bits)            2^(-16382)
-// 
 
-.align 64 
-Constants_Threshold:
-ASM_TYPE_DIRECTIVE(Constants_Threshold,@object)
-data4  0x00000000,0x80000000,0x00003F81,0x00000000
-data4  0x00000000,0x80000000,0x00000001,0x00000000
-data4  0x00000000,0x80000000,0x00003C01,0x00000000
-data4  0x00000000,0x80000000,0x00000001,0x00000000
-data4  0x00000000,0x80000000,0x00000001,0x00000000
-data4  0x00000000,0x80000000,0x00000001,0x00000000
-data4  0x00000000,0x80000000,0x00000001,0x00000000
-data4  0x00000000,0x80000000,0x00000001,0x00000000
-ASM_SIZE_DIRECTIVE(Constants_Threshold)
 
-.align 64
-Constants_1_by_LN10:
-ASM_TYPE_DIRECTIVE(Constants_1_by_LN10,@object)
-data4  0x37287195,0xDE5BD8A9,0x00003FFD,0x00000000
-data4  0xACCF70C8,0xD56EAABE,0x00003FBD,0x00000000
-ASM_SIZE_DIRECTIVE(Constants_1_by_LN10)
+FR_NormX               = f7
+FR_RcpX                = f9
+FR_r                   = f10
+FR_r2                  = f11
+FR_r4                  = f12
+FR_N                   = f13
+FR_Ln2hi               = f14
+FR_Ln2lo               = f15
 
-FR_Input_X = f8 
-FR_Neg_One = f9
-FR_E       = f33
-FR_Em1     = f34
-FR_Y_hi    = f34  
-// Shared with Em1
-FR_Y_lo    = f35
-FR_Scale   = f36
-FR_X_Prime = f37 
-FR_Z       = f38 
-FR_S_hi    = f38  
-// Shared with Z  
-FR_W       = f39
-FR_G       = f40
-FR_wsq     = f40 
-// Shared with G 
-FR_H       = f41
-FR_w4      = f41
-// Shared with H  
-FR_h       = f42
-FR_w6      = f42  
-// Shared with h     
-FR_G_tmp   = f43
-FR_poly_lo = f43
-// Shared with G_tmp 
-FR_P8      = f43  
-// Shared with G_tmp 
-FR_H_tmp   = f44
-FR_poly_hi = f44
-  // Shared with H_tmp
-FR_P7      = f44  
-// Shared with H_tmp
-FR_h_tmp   = f45 
-FR_rsq     = f45  
-// Shared with h_tmp
-FR_P6      = f45
-// Shared with h_tmp
-FR_abs_W   = f46
-FR_r       = f46  
-// Shared with abs_W  
-FR_AA      = f47 
-FR_log2_hi = f47  
-// Shared with AA  
-FR_BB          = f48
-FR_log2_lo     = f48  
-// Shared with BB  
-FR_S_lo        = f49 
-FR_two_negN    = f50  
-FR_float_N     = f51 
-FR_Q4          = f52 
-FR_dummy       = f52  
-// Shared with Q4
-FR_P4          = f52  
-// Shared with Q4
-FR_Threshold    = f52
-// Shared with Q4
-FR_Q3          = f53  
-FR_P3          = f53  
-// Shared with Q3
-FR_Tiny        = f53  
-// Shared with Q3
-FR_Q2          = f54 
-FR_P2          = f54  
-// Shared with Q2
-FR_1LN10_hi     = f54 
-// Shared with Q2
-FR_Q1           = f55 
-FR_P1           = f55 
-// Shared with Q1 
-FR_1LN10_lo     = f55 
-// Shared with Q1 
-FR_P5           = f98 
-FR_SCALE        = f98 
-FR_Output_X_tmp = f99 
+FR_A7                  = f32
+FR_A6                  = f33
+FR_A5                  = f34
+FR_A4                  = f35
+FR_A3                  = f36
+FR_A2                  = f37
 
-GR_Expo_Range   = r32
-GR_Table_Base   = r34
-GR_Table_Base1  = r35
-GR_Table_ptr    = r36 
-GR_Index2       = r37 
-GR_signif       = r38 
-GR_X_0          = r39 
-GR_X_1          = r40 
-GR_X_2          = r41 
-GR_Z_1          = r42 
-GR_Z_2          = r43 
-GR_N            = r44 
-GR_Bias         = r45 
-GR_M            = r46 
-GR_ScaleN       = r47  
-GR_Index3       = r48 
-GR_Perturb      = r49 
-GR_Table_Scale  = r50 
+FR_Thi                 = f38
+FR_NxLn2hipThi         = f38
+FR_NxLn2pT             = f38
+FR_Tlo                 = f39
+FR_NxLn2lopTlo         = f39
 
+FR_Xp1                 = f40
 
-GR_SAVE_PFS     = r51
-GR_SAVE_B0      = r52
-GR_SAVE_GP      = r53
 
-GR_Parameter_X       = r54
-GR_Parameter_Y       = r55
-GR_Parameter_RESULT  = r56
+FR_Y                   = f1
+FR_X                   = f10
+FR_RESULT              = f8
 
-GR_Parameter_TAG = r57 
 
+// Data
+//==============================================================
+RODATA
+.align 16
+
+LOCAL_OBJECT_START(log_data)
+// coefficients of polynomial approximation
+data8 0x3FC2494104381A8E // A7
+data8 0xBFC5556D556BBB69 // A6
+data8 0x3FC999999988B5E9 // A5
+data8 0xBFCFFFFFFFF6FFF5 // A4
+//
+// hi parts of ln(1/frcpa(1+i/256)), i=0...255
+data8 0x3F60040155D5889D // 0
+data8 0x3F78121214586B54 // 1
+data8 0x3F841929F96832EF // 2
+data8 0x3F8C317384C75F06 // 3
+data8 0x3F91A6B91AC73386 // 4
+data8 0x3F95BA9A5D9AC039 // 5
+data8 0x3F99D2A8074325F3 // 6
+data8 0x3F9D6B2725979802 // 7
+data8 0x3FA0C58FA19DFAA9 // 8
+data8 0x3FA2954C78CBCE1A // 9
+data8 0x3FA4A94D2DA96C56 // 10
+data8 0x3FA67C94F2D4BB58 // 11
+data8 0x3FA85188B630F068 // 12
+data8 0x3FAA6B8ABE73AF4C // 13
+data8 0x3FAC441E06F72A9E // 14
+data8 0x3FAE1E6713606D06 // 15
+data8 0x3FAFFA6911AB9300 // 16
+data8 0x3FB0EC139C5DA600 // 17
+data8 0x3FB1DBD2643D190B // 18
+data8 0x3FB2CC7284FE5F1C // 19
+data8 0x3FB3BDF5A7D1EE64 // 20
+data8 0x3FB4B05D7AA012E0 // 21
+data8 0x3FB580DB7CEB5701 // 22
+data8 0x3FB674F089365A79 // 23
+data8 0x3FB769EF2C6B568D // 24
+data8 0x3FB85FD927506A47 // 25
+data8 0x3FB9335E5D594988 // 26
+data8 0x3FBA2B0220C8E5F4 // 27
+data8 0x3FBB0004AC1A86AB // 28
+data8 0x3FBBF968769FCA10 // 29
+data8 0x3FBCCFEDBFEE13A8 // 30
+data8 0x3FBDA727638446A2 // 31
+data8 0x3FBEA3257FE10F79 // 32
+data8 0x3FBF7BE9FEDBFDE5 // 33
+data8 0x3FC02AB352FF25F3 // 34
+data8 0x3FC097CE579D204C // 35
+data8 0x3FC1178E8227E47B // 36
+data8 0x3FC185747DBECF33 // 37
+data8 0x3FC1F3B925F25D41 // 38
+data8 0x3FC2625D1E6DDF56 // 39
+data8 0x3FC2D1610C868139 // 40
+data8 0x3FC340C59741142E // 41
+data8 0x3FC3B08B6757F2A9 // 42
+data8 0x3FC40DFB08378003 // 43
+data8 0x3FC47E74E8CA5F7C // 44
+data8 0x3FC4EF51F6466DE4 // 45
+data8 0x3FC56092E02BA516 // 46
+data8 0x3FC5D23857CD74D4 // 47
+data8 0x3FC6313A37335D76 // 48
+data8 0x3FC6A399DABBD383 // 49
+data8 0x3FC70337DD3CE41A // 50
+data8 0x3FC77654128F6127 // 51
+data8 0x3FC7E9D82A0B022D // 52
+data8 0x3FC84A6B759F512E // 53
+data8 0x3FC8AB47D5F5A30F // 54
+data8 0x3FC91FE49096581B // 55
+data8 0x3FC981634011AA75 // 56
+data8 0x3FC9F6C407089664 // 57
+data8 0x3FCA58E729348F43 // 58
+data8 0x3FCABB55C31693AC // 59
+data8 0x3FCB1E104919EFD0 // 60
+data8 0x3FCB94EE93E367CA // 61
+data8 0x3FCBF851C067555E // 62
+data8 0x3FCC5C0254BF23A5 // 63
+data8 0x3FCCC000C9DB3C52 // 64
+data8 0x3FCD244D99C85673 // 65
+data8 0x3FCD88E93FB2F450 // 66
+data8 0x3FCDEDD437EAEF00 // 67
+data8 0x3FCE530EFFE71012 // 68
+data8 0x3FCEB89A1648B971 // 69
+data8 0x3FCF1E75FADF9BDE // 70
+data8 0x3FCF84A32EAD7C35 // 71
+data8 0x3FCFEB2233EA07CD // 72
+data8 0x3FD028F9C7035C1C // 73
+data8 0x3FD05C8BE0D9635A // 74
+data8 0x3FD085EB8F8AE797 // 75
+data8 0x3FD0B9C8E32D1911 // 76
+data8 0x3FD0EDD060B78080 // 77
+data8 0x3FD122024CF0063F // 78
+data8 0x3FD14BE2927AECD4 // 79
+data8 0x3FD180618EF18ADF // 80
+data8 0x3FD1B50BBE2FC63B // 81
+data8 0x3FD1DF4CC7CF242D // 82
+data8 0x3FD214456D0EB8D4 // 83
+data8 0x3FD23EC5991EBA49 // 84
+data8 0x3FD2740D9F870AFB // 85
+data8 0x3FD29ECDABCDFA03 // 86
+data8 0x3FD2D46602ADCCEE // 87
+data8 0x3FD2FF66B04EA9D4 // 88
+data8 0x3FD335504B355A37 // 89
+data8 0x3FD360925EC44F5C // 90
+data8 0x3FD38BF1C3337E74 // 91
+data8 0x3FD3C25277333183 // 92
+data8 0x3FD3EDF463C1683E // 93
+data8 0x3FD419B423D5E8C7 // 94
+data8 0x3FD44591E0539F48 // 95
+data8 0x3FD47C9175B6F0AD // 96
+data8 0x3FD4A8B341552B09 // 97
+data8 0x3FD4D4F39089019F // 98
+data8 0x3FD501528DA1F967 // 99
+data8 0x3FD52DD06347D4F6 // 100
+data8 0x3FD55A6D3C7B8A89 // 101
+data8 0x3FD5925D2B112A59 // 102
+data8 0x3FD5BF406B543DB1 // 103
+data8 0x3FD5EC433D5C35AD // 104
+data8 0x3FD61965CDB02C1E // 105
+data8 0x3FD646A84935B2A1 // 106
+data8 0x3FD6740ADD31DE94 // 107
+data8 0x3FD6A18DB74A58C5 // 108
+data8 0x3FD6CF31058670EC // 109
+data8 0x3FD6F180E852F0B9 // 110
+data8 0x3FD71F5D71B894EF // 111
+data8 0x3FD74D5AEFD66D5C // 112
+data8 0x3FD77B79922BD37D // 113
+data8 0x3FD7A9B9889F19E2 // 114
+data8 0x3FD7D81B037EB6A6 // 115
+data8 0x3FD8069E33827230 // 116
+data8 0x3FD82996D3EF8BCA // 117
+data8 0x3FD85855776DCBFA // 118
+data8 0x3FD8873658327CCE // 119
+data8 0x3FD8AA75973AB8CE // 120
+data8 0x3FD8D992DC8824E4 // 121
+data8 0x3FD908D2EA7D9511 // 122
+data8 0x3FD92C59E79C0E56 // 123
+data8 0x3FD95BD750EE3ED2 // 124
+data8 0x3FD98B7811A3EE5B // 125
+data8 0x3FD9AF47F33D406B // 126
+data8 0x3FD9DF270C1914A7 // 127
+data8 0x3FDA0325ED14FDA4 // 128
+data8 0x3FDA33440224FA78 // 129
+data8 0x3FDA57725E80C382 // 130
+data8 0x3FDA87D0165DD199 // 131
+data8 0x3FDAAC2E6C03F895 // 132
+data8 0x3FDADCCC6FDF6A81 // 133
+data8 0x3FDB015B3EB1E790 // 134
+data8 0x3FDB323A3A635948 // 135
+data8 0x3FDB56FA04462909 // 136
+data8 0x3FDB881AA659BC93 // 137
+data8 0x3FDBAD0BEF3DB164 // 138
+data8 0x3FDBD21297781C2F // 139
+data8 0x3FDC039236F08818 // 140
+data8 0x3FDC28CB1E4D32FC // 141
+data8 0x3FDC4E19B84723C1 // 142
+data8 0x3FDC7FF9C74554C9 // 143
+data8 0x3FDCA57B64E9DB05 // 144
+data8 0x3FDCCB130A5CEBAF // 145
+data8 0x3FDCF0C0D18F326F // 146
+data8 0x3FDD232075B5A201 // 147
+data8 0x3FDD490246DEFA6B // 148
+data8 0x3FDD6EFA918D25CD // 149
+data8 0x3FDD9509707AE52F // 150
+data8 0x3FDDBB2EFE92C554 // 151
+data8 0x3FDDEE2F3445E4AE // 152
+data8 0x3FDE148A1A2726CD // 153
+data8 0x3FDE3AFC0A49FF3F // 154
+data8 0x3FDE6185206D516D // 155
+data8 0x3FDE882578823D51 // 156
+data8 0x3FDEAEDD2EAC990C // 157
+data8 0x3FDED5AC5F436BE2 // 158
+data8 0x3FDEFC9326D16AB8 // 159
+data8 0x3FDF2391A21575FF // 160
+data8 0x3FDF4AA7EE03192C // 161
+data8 0x3FDF71D627C30BB0 // 162
+data8 0x3FDF991C6CB3B379 // 163
+data8 0x3FDFC07ADA69A90F // 164
+data8 0x3FDFE7F18EB03D3E // 165
+data8 0x3FE007C053C5002E // 166
+data8 0x3FE01B942198A5A0 // 167
+data8 0x3FE02F74400C64EA // 168
+data8 0x3FE04360BE7603AC // 169
+data8 0x3FE05759AC47FE33 // 170
+data8 0x3FE06B5F1911CF51 // 171
+data8 0x3FE078BF0533C568 // 172
+data8 0x3FE08CD9687E7B0E // 173
+data8 0x3FE0A10074CF9019 // 174
+data8 0x3FE0B5343A234476 // 175
+data8 0x3FE0C974C89431CD // 176
+data8 0x3FE0DDC2305B9886 // 177
+data8 0x3FE0EB524BAFC918 // 178
+data8 0x3FE0FFB54213A475 // 179
+data8 0x3FE114253DA97D9F // 180
+data8 0x3FE128A24F1D9AFF // 181
+data8 0x3FE1365252BF0864 // 182
+data8 0x3FE14AE558B4A92D // 183
+data8 0x3FE15F85A19C765B // 184
+data8 0x3FE16D4D38C119FA // 185
+data8 0x3FE18203C20DD133 // 186
+data8 0x3FE196C7BC4B1F3A // 187
+data8 0x3FE1A4A738B7A33C // 188
+data8 0x3FE1B981C0C9653C // 189
+data8 0x3FE1CE69E8BB106A // 190
+data8 0x3FE1DC619DE06944 // 191
+data8 0x3FE1F160A2AD0DA3 // 192
+data8 0x3FE2066D7740737E // 193
+data8 0x3FE2147DBA47A393 // 194
+data8 0x3FE229A1BC5EBAC3 // 195
+data8 0x3FE237C1841A502E // 196
+data8 0x3FE24CFCE6F80D9A // 197
+data8 0x3FE25B2C55CD5762 // 198
+data8 0x3FE2707F4D5F7C40 // 199
+data8 0x3FE285E0842CA383 // 200
+data8 0x3FE294294708B773 // 201
+data8 0x3FE2A9A2670AFF0C // 202
+data8 0x3FE2B7FB2C8D1CC0 // 203
+data8 0x3FE2C65A6395F5F5 // 204
+data8 0x3FE2DBF557B0DF42 // 205
+data8 0x3FE2EA64C3F97654 // 206
+data8 0x3FE3001823684D73 // 207
+data8 0x3FE30E97E9A8B5CC // 208
+data8 0x3FE32463EBDD34E9 // 209
+data8 0x3FE332F4314AD795 // 210
+data8 0x3FE348D90E7464CF // 211
+data8 0x3FE35779F8C43D6D // 212
+data8 0x3FE36621961A6A99 // 213
+data8 0x3FE37C299F3C366A // 214
+data8 0x3FE38AE2171976E7 // 215
+data8 0x3FE399A157A603E7 // 216
+data8 0x3FE3AFCCFE77B9D1 // 217
+data8 0x3FE3BE9D503533B5 // 218
+data8 0x3FE3CD7480B4A8A2 // 219
+data8 0x3FE3E3C43918F76C // 220
+data8 0x3FE3F2ACB27ED6C6 // 221
+data8 0x3FE4019C2125CA93 // 222
+data8 0x3FE4181061389722 // 223
+data8 0x3FE42711518DF545 // 224
+data8 0x3FE436194E12B6BF // 225
+data8 0x3FE445285D68EA69 // 226
+data8 0x3FE45BCC464C893A // 227
+data8 0x3FE46AED21F117FC // 228
+data8 0x3FE47A1527E8A2D3 // 229
+data8 0x3FE489445EFFFCCB // 230
+data8 0x3FE4A018BCB69835 // 231
+data8 0x3FE4AF5A0C9D65D7 // 232
+data8 0x3FE4BEA2A5BDBE87 // 233
+data8 0x3FE4CDF28F10AC46 // 234
+data8 0x3FE4DD49CF994058 // 235
+data8 0x3FE4ECA86E64A683 // 236
+data8 0x3FE503C43CD8EB68 // 237
+data8 0x3FE513356667FC57 // 238
+data8 0x3FE522AE0738A3D7 // 239
+data8 0x3FE5322E26867857 // 240
+data8 0x3FE541B5CB979809 // 241
+data8 0x3FE55144FDBCBD62 // 242
+data8 0x3FE560DBC45153C6 // 243
+data8 0x3FE5707A26BB8C66 // 244
+data8 0x3FE587F60ED5B8FF // 245
+data8 0x3FE597A7977C8F31 // 246
+data8 0x3FE5A760D634BB8A // 247
+data8 0x3FE5B721D295F10E // 248
+data8 0x3FE5C6EA94431EF9 // 249
+data8 0x3FE5D6BB22EA86F5 // 250
+data8 0x3FE5E6938645D38F // 251
+data8 0x3FE5F673C61A2ED1 // 252
+data8 0x3FE6065BEA385926 // 253
+data8 0x3FE6164BFA7CC06B // 254
+data8 0x3FE62643FECF9742 // 255
+//
+// two parts of ln(2)
+data8 0x3FE62E42FEF00000,0x3DD473DE6AF278ED
+//
+// lo parts of ln(1/frcpa(1+i/256)), i=0...255
+data4 0x20E70672 // 0
+data4 0x1F60A5D0 // 1
+data4 0x218EABA0 // 2
+data4 0x21403104 // 3
+data4 0x20E9B54E // 4
+data4 0x21EE1382 // 5
+data4 0x226014E3 // 6
+data4 0x2095E5C9 // 7
+data4 0x228BA9D4 // 8
+data4 0x22932B86 // 9
+data4 0x22608A57 // 10
+data4 0x220209F3 // 11
+data4 0x212882CC // 12
+data4 0x220D46E2 // 13
+data4 0x21FA4C28 // 14
+data4 0x229E5BD9 // 15
+data4 0x228C9838 // 16
+data4 0x2311F954 // 17
+data4 0x221365DF // 18
+data4 0x22BD0CB3 // 19
+data4 0x223D4BB7 // 20
+data4 0x22A71BBE // 21
+data4 0x237DB2FA // 22
+data4 0x23194C9D // 23
+data4 0x22EC639E // 24
+data4 0x2367E669 // 25
+data4 0x232E1D5F // 26
+data4 0x234A639B // 27
+data4 0x2365C0E0 // 28
+data4 0x234646C1 // 29
+data4 0x220CBF9C // 30
+data4 0x22A00FD4 // 31
+data4 0x2306A3F2 // 32
+data4 0x23745A9B // 33
+data4 0x2398D756 // 34
+data4 0x23DD0B6A // 35
+data4 0x23DE338B // 36
+data4 0x23A222DF // 37
+data4 0x223164F8 // 38
+data4 0x23B4E87B // 39
+data4 0x23D6CCB8 // 40
+data4 0x220C2099 // 41
+data4 0x21B86B67 // 42
+data4 0x236D14F1 // 43
+data4 0x225A923F // 44
+data4 0x22748723 // 45
+data4 0x22200D13 // 46
+data4 0x23C296EA // 47
+data4 0x2302AC38 // 48
+data4 0x234B1996 // 49
+data4 0x2385E298 // 50
+data4 0x23175BE5 // 51
+data4 0x2193F482 // 52
+data4 0x23BFEA90 // 53
+data4 0x23D70A0C // 54
+data4 0x231CF30A // 55
+data4 0x235D9E90 // 56
+data4 0x221AD0CB // 57
+data4 0x22FAA08B // 58
+data4 0x23D29A87 // 59
+data4 0x20C4B2FE // 60
+data4 0x2381B8B7 // 61
+data4 0x23F8D9FC // 62
+data4 0x23EAAE7B // 63
+data4 0x2329E8AA // 64
+data4 0x23EC0322 // 65
+data4 0x2357FDCB // 66
+data4 0x2392A9AD // 67
+data4 0x22113B02 // 68
+data4 0x22DEE901 // 69
+data4 0x236A6D14 // 70
+data4 0x2371D33E // 71
+data4 0x2146F005 // 72
+data4 0x23230B06 // 73
+data4 0x22F1C77D // 74
+data4 0x23A89FA3 // 75
+data4 0x231D1241 // 76
+data4 0x244DA96C // 77
+data4 0x23ECBB7D // 78
+data4 0x223E42B4 // 79
+data4 0x23801BC9 // 80
+data4 0x23573263 // 81
+data4 0x227C1158 // 82
+data4 0x237BD749 // 83
+data4 0x21DDBAE9 // 84
+data4 0x23401735 // 85
+data4 0x241D9DEE // 86
+data4 0x23BC88CB // 87
+data4 0x2396D5F1 // 88
+data4 0x23FC89CF // 89
+data4 0x2414F9A2 // 90
+data4 0x2474A0F5 // 91
+data4 0x24354B60 // 92
+data4 0x23C1EB40 // 93
+data4 0x2306DD92 // 94
+data4 0x24353B6B // 95
+data4 0x23CD1701 // 96
+data4 0x237C7A1C // 97
+data4 0x245793AA // 98
+data4 0x24563695 // 99
+data4 0x23C51467 // 100
+data4 0x24476B68 // 101
+data4 0x212585A9 // 102
+data4 0x247B8293 // 103
+data4 0x2446848A // 104
+data4 0x246A53F8 // 105
+data4 0x246E496D // 106
+data4 0x23ED1D36 // 107
+data4 0x2314C258 // 108
+data4 0x233244A7 // 109
+data4 0x245B7AF0 // 110
+data4 0x24247130 // 111
+data4 0x22D67B38 // 112
+data4 0x2449F620 // 113
+data4 0x23BBC8B8 // 114
+data4 0x237D3BA0 // 115
+data4 0x245E8F13 // 116
+data4 0x2435573F // 117
+data4 0x242DE666 // 118
+data4 0x2463BC10 // 119
+data4 0x2466587D // 120
+data4 0x2408144B // 121
+data4 0x2405F0E5 // 122
+data4 0x22381CFF // 123
+data4 0x24154F9B // 124
+data4 0x23A4E96E // 125
+data4 0x24052967 // 126
+data4 0x2406963F // 127
+data4 0x23F7D3CB // 128
+data4 0x2448AFF4 // 129
+data4 0x24657A21 // 130
+data4 0x22FBC230 // 131
+data4 0x243C8DEA // 132
+data4 0x225DC4B7 // 133
+data4 0x23496EBF // 134
+data4 0x237C2B2B // 135
+data4 0x23A4A5B1 // 136
+data4 0x2394E9D1 // 137
+data4 0x244BC950 // 138
+data4 0x23C7448F // 139
+data4 0x2404A1AD // 140
+data4 0x246511D5 // 141
+data4 0x24246526 // 142
+data4 0x23111F57 // 143
+data4 0x22868951 // 144
+data4 0x243EB77F // 145
+data4 0x239F3DFF // 146
+data4 0x23089666 // 147
+data4 0x23EBFA6A // 148
+data4 0x23C51312 // 149
+data4 0x23E1DD5E // 150
+data4 0x232C0944 // 151
+data4 0x246A741F // 152
+data4 0x2414DF8D // 153
+data4 0x247B5546 // 154
+data4 0x2415C980 // 155
+data4 0x24324ABD // 156
+data4 0x234EB5E5 // 157
+data4 0x2465E43E // 158
+data4 0x242840D1 // 159
+data4 0x24444057 // 160
+data4 0x245E56F0 // 161
+data4 0x21AE30F8 // 162
+data4 0x23FB3283 // 163
+data4 0x247A4D07 // 164
+data4 0x22AE314D // 165
+data4 0x246B7727 // 166
+data4 0x24EAD526 // 167
+data4 0x24B41DC9 // 168
+data4 0x24EE8062 // 169
+data4 0x24A0C7C4 // 170
+data4 0x24E8DA67 // 171
+data4 0x231120F7 // 172
+data4 0x24401FFB // 173
+data4 0x2412DD09 // 174
+data4 0x248C131A // 175
+data4 0x24C0A7CE // 176
+data4 0x243DD4C8 // 177
+data4 0x24457FEB // 178
+data4 0x24DEEFBB // 179
+data4 0x243C70AE // 180
+data4 0x23E7A6FA // 181
+data4 0x24C2D311 // 182
+data4 0x23026255 // 183
+data4 0x2437C9B9 // 184
+data4 0x246BA847 // 185
+data4 0x2420B448 // 186
+data4 0x24C4CF5A // 187
+data4 0x242C4981 // 188
+data4 0x24DE1525 // 189
+data4 0x24F5CC33 // 190
+data4 0x235A85DA // 191
+data4 0x24A0B64F // 192
+data4 0x244BA0A4 // 193
+data4 0x24AAF30A // 194
+data4 0x244C86F9 // 195
+data4 0x246D5B82 // 196
+data4 0x24529347 // 197
+data4 0x240DD008 // 198
+data4 0x24E98790 // 199
+data4 0x2489B0CE // 200
+data4 0x22BC29AC // 201
+data4 0x23F37C7A // 202
+data4 0x24987FE8 // 203
+data4 0x22AFE20B // 204
+data4 0x24C8D7C2 // 205
+data4 0x24B28B7D // 206
+data4 0x23B6B271 // 207
+data4 0x24C77CB6 // 208
+data4 0x24EF1DCA // 209
+data4 0x24A4F0AC // 210
+data4 0x24CF113E // 211
+data4 0x2496BBAB // 212
+data4 0x23C7CC8A // 213
+data4 0x23AE3961 // 214
+data4 0x2410A895 // 215
+data4 0x23CE3114 // 216
+data4 0x2308247D // 217
+data4 0x240045E9 // 218
+data4 0x24974F60 // 219
+data4 0x242CB39F // 220
+data4 0x24AB8D69 // 221
+data4 0x23436788 // 222
+data4 0x24305E9E // 223
+data4 0x243E71A9 // 224
+data4 0x23C2A6B3 // 225
+data4 0x23FFE6CF // 226
+data4 0x2322D801 // 227
+data4 0x24515F21 // 228
+data4 0x2412A0D6 // 229
+data4 0x24E60D44 // 230
+data4 0x240D9251 // 231
+data4 0x247076E2 // 232
+data4 0x229B101B // 233
+data4 0x247B12DE // 234
+data4 0x244B9127 // 235
+data4 0x2499EC42 // 236
+data4 0x21FC3963 // 237
+data4 0x23E53266 // 238
+data4 0x24CE102D // 239
+data4 0x23CC45D2 // 240
+data4 0x2333171D // 241
+data4 0x246B3533 // 242
+data4 0x24931129 // 243
+data4 0x24405FFA // 244
+data4 0x24CF464D // 245
+data4 0x237095CD // 246
+data4 0x24F86CBD // 247
+data4 0x24E2D84B // 248
+data4 0x21ACBB44 // 249
+data4 0x24F43A8C // 250
+data4 0x249DB931 // 251
+data4 0x24A385EF // 252
+data4 0x238B1279 // 253
+data4 0x2436213E // 254
+data4 0x24F18A3B // 255
+LOCAL_OBJECT_END(log_data)
+
+
+// Code
+//==============================================================
 
 .section .text
-.proc log1p#
-.global log1p#
-.align 64 
-log1p:
-#ifdef _LIBC
-.global __log1p
-__log1p:
-#endif
-
+GLOBAL_IEEE754_ENTRY(log1p)
 { .mfi
-alloc r32 = ar.pfs,0,22,4,0
-(p0)  fsub.s1 FR_Neg_One = f0,f1 
-(p0)  cmp.eq.unc  p7, p0 = r0, r0 
+      getf.exp      GR_signexp_x = f8 // if x is unorm then must recompute
+      fadd.s1       FR_Xp1 = f8, f1       // Form 1+x
+      mov           GR_05 = 0xfffe
 }
-
-{ .mfi
-(p0)  cmp.ne.unc  p14, p0 = r0, r0 
-(p0)  fnorm.s1 FR_X_Prime = FR_Input_X 
-(p0)  cmp.eq.unc  p15, p0 = r0, r0 ;; 
-}
-
-{ .mfi
-      nop.m 999
-(p0)  fclass.m.unc p6, p0 =  FR_Input_X, 0x1E3 
-      nop.i 999
-}
-;;
-
-{ .mfi
-	nop.m 999
-(p0)  fclass.nm.unc p10, p0 =  FR_Input_X, 0x1FF 
-      nop.i 999
+{ .mlx
+      addl          GR_ad_1 = @ltoff(log_data),gp
+      movl          GR_A3 = 0x3fd5555555555557 // double precision memory
+                                               // representation of A3
 }
 ;;
 
 { .mfi
-	nop.m 999
-(p0)  fcmp.eq.unc.s1 p9, p0 =  FR_Input_X, f0 
-      nop.i 999
-}
-
-{ .mfi
-	nop.m 999
-(p0)  fadd FR_Em1 = f0,f0 
-	nop.i 999 ;;
-}
-
-{ .mfi
-	nop.m 999
-(p0)  fadd FR_E = f0,f1 
-	nop.i 999 ;;
+      ld8           GR_ad_1 = [GR_ad_1]
+      fclass.m      p8,p0 = f8,0xb // Is x unorm?
+      mov           GR_exp_mask = 0x1ffff
 }
-
 { .mfi
-	nop.m 999
-(p0)  fcmp.eq.unc.s1 p8, p0 =  FR_Input_X, FR_Neg_One 
-	nop.i 999
+      nop.m         0
+      fnorm.s1      FR_NormX = f8              // Normalize x
+      mov           GR_exp_bias = 0xffff
 }
+;;
 
 { .mfi
-	nop.m 999
-(p0)  fcmp.lt.unc.s1 p13, p0 =  FR_Input_X, FR_Neg_One 
-	nop.i 999
-}
-
-
-L(LOG_BEGIN): 
-
-{ .mfi
-	nop.m 999
-(p0)  fadd.s1 FR_Z = FR_X_Prime, FR_E 
-	nop.i 999
+      setf.exp      FR_A2 = GR_05 // create A2 = 0.5
+      fclass.m      p9,p0 = f8,0x1E1 // is x NaN, NaT or +Inf?
+      nop.i         0
 }
-
-{ .mlx
-	nop.m 999
-(p0)  movl GR_Table_Scale = 0x0000000000000018 ;; 
-}
-
-{ .mmi
-	nop.m 999
-//     
-//    Create E = 1 and Em1 = 0 
-//    Check for X == 0, meaning log(1+0)
-//    Check for X < -1, meaning log(negative)
-//    Check for X == -1, meaning log(0)
-//    Normalize x 
-//    Identify NatVals, NaNs, Infs. 
-//    Identify EM unsupporteds. 
-//    Identify Negative values - us S1 so as
-//    not to raise denormal operand exception 
-//    Set p15 to true for log1p
-//    Set p14 to false for log1p
-//    Set p7 true for log and log1p
-//    
-(p0)  addl GR_Table_Base = @ltoff(Constants_Z_G_H_h1#),gp
-      nop.i  999
-}
-
-{ .mfi
-	nop.m 999
-(p0)  fmax.s1 FR_AA = FR_X_Prime, FR_E 
-	nop.i 999 ;;
+{ .mib
+      setf.d        FR_A3 = GR_A3 // create A3
+      add           GR_ad_2 = 16,GR_ad_1 // address of A5,A4
+(p8)  br.cond.spnt  log1p_unorm          // Branch if x=unorm
 }
+;;
 
+log1p_common:
 { .mfi
-      ld8    GR_Table_Base = [GR_Table_Base]
-(p0)  fmin.s1 FR_BB = FR_X_Prime, FR_E 
-	nop.i 999
+      nop.m         0
+      frcpa.s1      FR_RcpX,p0 = f1,FR_Xp1
+      nop.i         0
 }
-
 { .mfb
-	nop.m 999
-(p0)  fadd.s1 FR_W = FR_X_Prime, FR_Em1 
-//     
-//    Begin load of constants base
-//    FR_Z = Z = |x| + E 
-//    FR_W = W = |x| + Em1
-//    AA = fmax(|x|,E)
-//    BB = fmin(|x|,E)
-//
-(p6)  br.cond.spnt L(LOG_64_special) ;; 
-}
-
-{ .mib
-	nop.m 999
-	nop.i 999
-(p10) br.cond.spnt L(LOG_64_unsupported) ;; 
-}
-
-{ .mib
-	nop.m 999
-	nop.i 999
-(p13) br.cond.spnt L(LOG_64_negative) ;; 
-}
-
-{ .mib
-(p0)  getf.sig GR_signif = FR_Z 
-	nop.i 999
-(p9)  br.cond.spnt L(LOG_64_one) ;; 
-}
-
-{ .mib
-	nop.m 999
-	nop.i 999
-(p8)  br.cond.spnt L(LOG_64_zero) ;; 
+      nop.m         0
+(p9)  fma.d.s0      f8 = f8,f1,f0 // set V-flag
+(p9)  br.ret.spnt   b0 // exit for NaN, NaT and +Inf
 }
+;;
 
 { .mfi
-(p0)  getf.exp GR_N =  FR_Z 
-//   
-//    Raise possible denormal operand exception 
-//    Create Bias
-// 
-//    This function computes ln( x + e ) 
-//    Input  FR 1: FR_X   = FR_Input_X          
-//    Input  FR 2: FR_E   = FR_E
-//    Input  FR 3: FR_Em1 = FR_Em1 
-//    Input  GR 1: GR_Expo_Range = GR_Expo_Range = 1
-//    Output FR 4: FR_Y_hi  
-//    Output FR 5: FR_Y_lo  
-//    Output FR 6: FR_Scale  
-//    Output PR 7: PR_Safe  
-//
-(p0)  fsub.s1 FR_S_lo = FR_AA, FR_Z 
-//
-//    signif = getf.sig(Z)
-//    abs_W = fabs(w)
-//
-(p0)  extr.u GR_Table_ptr = GR_signif, 59, 4 ;; 
+      getf.exp      GR_Exp = FR_Xp1            // signexp of x+1
+      fclass.m      p10,p0 = FR_Xp1,0x3A // is 1+x < 0?
+      and           GR_exp_x = GR_exp_mask, GR_signexp_x // biased exponent of x
 }
-
 { .mfi
-	nop.m 999
-(p0)  fmerge.se FR_S_hi =  f1,FR_Z 
-(p0)  extr.u GR_X_0 = GR_signif, 49, 15  
-}
-
-{ .mmi
-      nop.m 999
-(p0)  addl GR_Table_Base1 = @ltoff(Constants_Z_G_H_h2#),gp  
-      nop.i 999
+      ldfpd         FR_A7,FR_A6 = [GR_ad_1]
+      nop.f         0
+      nop.i         0
 }
 ;;
 
-{ .mlx
-      ld8    GR_Table_Base1 = [GR_Table_Base1]
-(p0)  movl GR_Bias = 0x000000000000FFFF ;; 
-}
-
-{ .mfi
-	nop.m 999
-(p0)  fabs FR_abs_W =  FR_W 
-(p0)  pmpyshr2.u GR_Table_ptr = GR_Table_ptr,GR_Table_Scale,0 
-}
-
 { .mfi
-	nop.m 999
-//    
-//    Branch out for special input values 
-//    
-(p0)  fcmp.lt.unc.s0 p8, p0 =  FR_Input_X, f0 
-	nop.i 999 ;;
+      getf.sig      GR_Sig = FR_Xp1 // get significand to calculate index
+                                    // for Thi,Tlo if |x| >= 2^-8
+      fcmp.eq.s1    p12,p0 = f8,f0     // is x equal to 0?
+      sub           GR_exp_x = GR_exp_x, GR_exp_bias // true exponent of x
 }
+;;
 
 { .mfi
-	nop.m 999
-//
-//    X_0 = extr.u(signif,49,15)
-//    Index1 = extr.u(signif,59,4)
-//
-(p0)  fadd.s1 FR_S_lo = FR_S_lo, FR_BB 
-	nop.i 999 ;;
-}
-
-{ .mii
-	nop.m 999
-	nop.i 999 ;;
-//
-//    Offset_to_Z1 = 24 * Index1
-//    For performance, don't use result
-//    for 3 or 4 cycles.
-//
-(p0)  add GR_Table_ptr = GR_Table_ptr, GR_Table_Base ;; 
+      sub           GR_N = GR_Exp,GR_exp_bias // true exponent of x+1
+      fcmp.eq.s1    p11,p0 = FR_Xp1,f0     // is x = -1?
+      cmp.gt        p6,p7 = -8, GR_exp_x  // Is |x| < 2^-8
 }
-//
-//    Add Base to Offset for Z1
-//    Create Bias
-
-{ .mmi
-(p0)  ld4 GR_Z_1 = [GR_Table_ptr],4 ;; 
-(p0)  ldfs  FR_G = [GR_Table_ptr],4 
-	nop.i 999 ;;
-}
-
-{ .mmi
-(p0)  ldfs  FR_H = [GR_Table_ptr],8 ;; 
-(p0)  ldfd  FR_h = [GR_Table_ptr],0 
-(p0)  pmpyshr2.u GR_X_1 = GR_X_0,GR_Z_1,15 
+{ .mfb
+      ldfpd         FR_A5,FR_A4 = [GR_ad_2],16
+      nop.f         0
+(p10) br.cond.spnt  log1p_lt_minus_1   // jump if x < -1
 }
-//
-//    Load Z_1 
-//    Get Base of Table2 
-//
+;;
 
+// p6 is true if |x| < 1/256
+// p7 is true if |x| >= 1/256
+.pred.rel "mutex",p6,p7
 { .mfi
-(p0)  getf.exp GR_M = FR_abs_W 
-	nop.f 999
-	nop.i 999 ;;
-}
-
-{ .mii
-	nop.m 999
-	nop.i 999 ;;
-//
-//    M = getf.exp(abs_W)
-//    S_lo = AA - Z
-//    X_1 = pmpyshr2(X_0,Z_1,15)
-//
-(p0)  sub GR_M = GR_M, GR_Bias ;; 
+(p7)  add           GR_ad_1 = 0x820,GR_ad_1 // address of log(2) parts
+(p6)  fms.s1        FR_r = f8,f1,f0 // range reduction for |x|<1/256
+(p6)  cmp.gt.unc    p10,p0 = -80, GR_exp_x  // Is |x| < 2^-80
 }
-//     
-//    M = M - Bias
-//    Load G1
-//    N = getf.exp(Z)
-//
-
-{ .mii
-(p0)  cmp.gt.unc  p11, p0 =  -80, GR_M 
-(p0)  cmp.gt.unc  p12, p0 =  -7, GR_M ;; 
-(p0)  extr.u GR_Index2 = GR_X_1, 6, 4 ;; 
-}
-
-{ .mib
-	nop.m 999
-//
-//    if -80 > M, set p11
-//    Index2 = extr.u(X_1,6,4)
-//    if -7  > M, set p12
-//    Load H1
-//
-(p0)  pmpyshr2.u GR_Index2 = GR_Index2,GR_Table_Scale,0 
-(p11) br.cond.spnt L(log1p_small) ;; 
+{ .mfb
+(p7)  setf.sig      FR_N = GR_N // copy unbiased exponent of x to the
+                                // significand field of FR_N
+(p7)  fms.s1        FR_r = FR_RcpX,FR_Xp1,f1 // range reduction for |x|>=1/256
+(p12) br.ret.spnt   b0 // exit for x=0, return x
 }
+;;
 
 { .mib
-      nop.m 999
-	nop.i 999
-(p12) br.cond.spnt L(log1p_near) ;; 
-}
-
-{ .mii
-(p0)  sub GR_N = GR_N, GR_Bias 
-//
-//    poly_lo = r * poly_lo 
-//
-(p0)  add GR_Perturb = 0x1, r0 ;; 
-(p0)  sub GR_ScaleN = GR_Bias, GR_N  
-}
-
-{ .mii
-(p0)  setf.sig FR_float_N = GR_N 
-	nop.i 999 ;;
-//
-//    Prepare Index2 - pmpyshr2.u(X_1,Z_2,15)
-//    Load h1
-//    S_lo = S_lo + BB 
-//    Branch for -80 > M
-//   
-(p0)  add GR_Index2 = GR_Index2, GR_Table_Base1
-}
-
-{ .mmi
-(p0)  setf.exp FR_two_negN = GR_ScaleN 
-      nop.m 999
-(p0)  addl GR_Table_Base = @ltoff(Constants_Z_G_H_h3#),gp  
-};;
-
-//
-//    Index2 points to Z2
-//    Branch for -7 > M
-//
-
-{ .mmb
-(p0)  ld4 GR_Z_2 = [GR_Index2],4 
-      ld8 GR_Table_Base = [GR_Table_Base]
-      nop.b 999 ;;
-}
-(p0)  nop.i 999
-//
-//    Load Z_2
-//    N = N - Bias
-//    Tablebase points to Table3
-//
-
-{ .mmi
-(p0)  ldfs  FR_G_tmp = [GR_Index2],4 ;; 
-//
-//    Load G_2
-//    pmpyshr2  X_2= (X_1,Z_2,15)
-//    float_N = setf.sig(N)
-//    ScaleN = Bias - N
-//
-(p0)  ldfs  FR_H_tmp = [GR_Index2],8 
-	nop.i 999 ;;
-}
-//
-//    Load H_2
-//    two_negN = setf.exp(scaleN)
-//    G = G_1 * G_2
-//
-
-{ .mfi
-(p0)  ldfd  FR_h_tmp = [GR_Index2],0 
-	nop.f 999
-(p0)  pmpyshr2.u GR_X_2 = GR_X_1,GR_Z_2,15 ;; 
-}
-
-{ .mii
-	nop.m 999
-(p0)  extr.u GR_Index3 = GR_X_2, 1, 5 ;; 
-//
-//    Load h_2
-//    H = H_1 + H_2 
-//    h = h_1 + h_2 
-//    Index3 = extr.u(X_2,1,5)
-//
-(p0)  shladd GR_Index3 = GR_Index3,4,GR_Table_Base 
+(p7)  ldfpd         FR_Ln2hi,FR_Ln2lo = [GR_ad_1],16
+(p7)  extr.u        GR_Ind = GR_Sig,55,8 // get bits from 55 to 62 as index
+(p11) br.cond.spnt  log1p_eq_minus_1 // jump if x = -1
 }
-
-{ .mmi
-	nop.m 999
-	nop.m 999
-//
-//    float_N = fcvt.xf(float_N)
-//    load G3
-//
-(p0)  addl GR_Table_Base = @ltoff(Constants_Q#),gp ;; 
-}
-
-{ .mfi
-ld8    GR_Table_Base = [GR_Table_Base]
-nop.f 999
-nop.i 999
-} ;;
-
-{ .mfi
-(p0)  ldfe FR_log2_hi = [GR_Table_Base],16 
-(p0)  fmpy.s1 FR_S_lo = FR_S_lo, FR_two_negN 
-	nop.i 999 ;;
-}
-
-{ .mmf
-	nop.m 999
-//
-//    G = G3 * G
-//    Load h3
-//    Load log2_hi
-//    H = H + H3
-//
-(p0)  ldfe FR_log2_lo = [GR_Table_Base],16 
-(p0)  fmpy.s1 FR_G = FR_G, FR_G_tmp ;; 
-}
-
-{ .mmf
-(p0)  ldfs  FR_G_tmp = [GR_Index3],4 
-//
-//    h = h + h3
-//    r = G * S_hi + 1 
-//    Load log2_lo
-//
-(p0)  ldfe FR_Q4 = [GR_Table_Base],16 
-(p0)  fadd.s1 FR_h = FR_h, FR_h_tmp ;; 
-}
-
-{ .mfi
-(p0)  ldfe FR_Q3 = [GR_Table_Base],16 
-(p0)  fadd.s1 FR_H = FR_H, FR_H_tmp 
-	nop.i 999 ;;
-}
-
-{ .mmf
-(p0)  ldfs  FR_H_tmp = [GR_Index3],4 
-(p0)  ldfe FR_Q2 = [GR_Table_Base],16 
-//
-//    Comput Index for Table3
-//    S_lo = S_lo * two_negN
-//
-(p0)  fcvt.xf FR_float_N = FR_float_N ;; 
-}
-//
-//    If S_lo == 0, set p8 false
-//    Load H3
-//    Load ptr to table of polynomial coeff.
-//
+;;
 
 { .mmf
-(p0)  ldfd  FR_h_tmp = [GR_Index3],0 
-(p0)  ldfe FR_Q1 = [GR_Table_Base],0 
-(p0)  fcmp.eq.unc.s1 p0, p8 =  FR_S_lo, f0 ;; 
-}
-
-{ .mfi
-	nop.m 999
-(p0)  fmpy.s1 FR_G = FR_G, FR_G_tmp 
-	nop.i 999 ;;
-}
-
-{ .mfi
-	nop.m 999
-(p0)  fadd.s1 FR_H = FR_H, FR_H_tmp 
-	nop.i 999 ;;
-}
-
-{ .mfi
-	nop.m 999
-(p0)  fms.s1 FR_r = FR_G, FR_S_hi, f1 
-	nop.i 999
-}
-
-{ .mfi
-	nop.m 999
-(p0)  fadd.s1 FR_h = FR_h, FR_h_tmp 
-	nop.i 999 ;;
-}
-
-{ .mfi
-	nop.m 999
-(p0)  fma.s1 FR_Y_hi = FR_float_N, FR_log2_hi, FR_H 
-	nop.i 999 ;;
-}
-
-{ .mfi
-	nop.m 999
-//
-//    Load Q4 
-//    Load Q3 
-//    Load Q2 
-//    Load Q1 
-//
-(p8) fma.s1 FR_r = FR_G, FR_S_lo, FR_r 
-	nop.i 999
-}
-
-{ .mfi
-	nop.m 999
-//
-//    poly_lo = r * Q4 + Q3
-//    rsq = r* r
-//
-(p0)  fma.s1 FR_h = FR_float_N, FR_log2_lo, FR_h 
-	nop.i 999 ;;
-}
-
-{ .mfi
-	nop.m 999
-//
-//    If (S_lo!=0) r = s_lo * G + r
-//
-(p0)  fma.s1 FR_poly_lo = FR_r, FR_Q4, FR_Q3 
-	nop.i 999
-}
-//
-//    Create a 0x00000....01
-//    poly_lo = poly_lo * rsq + h
-//
-
-{ .mfi
-(p0)  setf.sig FR_dummy = GR_Perturb 
-(p0)  fmpy.s1 FR_rsq = FR_r, FR_r 
-	nop.i 999 ;;
-}
-
-{ .mfi
-	nop.m 999
-//
-//    h = N * log2_lo + h 
-//    Y_hi = n * log2_hi + H 
-//
-(p0)  fma.s1 FR_poly_lo = FR_poly_lo, FR_r, FR_Q2 
-	nop.i 999
-}
-
-{ .mfi
-	nop.m 999
-(p0)  fma.s1 FR_poly_hi = FR_Q1, FR_rsq, FR_r 
-	nop.i 999 ;;
-}
-
-{ .mfi
-	nop.m 999
-//
-//    poly_lo = r * poly_o + Q2 
-//    poly_hi = Q1 * rsq + r 
-//
-(p0)  fmpy.s1 FR_poly_lo = FR_poly_lo, FR_r 
-	nop.i 999 ;;
-}
-
-{ .mfi
-	nop.m 999
-(p0)  fma.s1 FR_poly_lo = FR_poly_lo, FR_rsq, FR_h 
-	nop.i 999 ;;
-}
-
-{ .mfb
-	nop.m 999
-(p0)  fadd.s1 FR_Y_lo = FR_poly_hi, FR_poly_lo 
-//
-//    Create the FR for a binary "or"
-//    Y_lo = poly_hi + poly_lo
-//
-// (p0)  for FR_dummy = FR_Y_lo,FR_dummy ;;
-//
-//    Turn the lsb of Y_lo ON
-//
-// (p0)  fmerge.se FR_Y_lo =  FR_Y_lo,FR_dummy ;;
-//
-//    Merge the new lsb into Y_lo, for alone doesn't
-//
-(p0)  br.cond.sptk L(LOG_main) ;; 
-}
-
-
-L(log1p_near): 
-
-{ .mmi
-	nop.m 999
-	nop.m 999
-//    /*******************************************************/
-//    /*********** Branch log1p_near  ************************/
-//    /*******************************************************/
-(p0)  addl GR_Table_Base = @ltoff(Constants_P#),gp ;; 
-}
-//
-//    Load base address of poly. coeff.
-//
-{.mmi
-      nop.m 999
-      ld8    GR_Table_Base = [GR_Table_Base]
-      nop.i 999
-};;
-
-{ .mmb
-(p0)  add GR_Table_ptr = 0x40,GR_Table_Base  
-//
-//    Address tables with separate pointers 
-//
-(p0)  ldfe FR_P8 = [GR_Table_Base],16 
-	nop.b 999 ;;
+(p7)  shladd        GR_ad_2 = GR_Ind,3,GR_ad_2 // address of Thi
+(p7)  shladd        GR_ad_1 = GR_Ind,2,GR_ad_1 // address of Tlo
+(p10) fnma.d.s0     f8 = f8,f8,f8   // If |x| very small, result=x-x*x
 }
+;;
 
 { .mmb
-(p0)  ldfe FR_P4 = [GR_Table_ptr],16 
-//
-//    Load P4
-//    Load P8
-//
-(p0)  ldfe FR_P7 = [GR_Table_Base],16 
-	nop.b 999 ;;
-}
-
-{ .mmf
-(p0)  ldfe FR_P3 = [GR_Table_ptr],16 
-//
-//    Load P3
-//    Load P7
-//
-(p0)  ldfe FR_P6 = [GR_Table_Base],16 
-(p0)  fmpy.s1 FR_wsq = FR_W, FR_W ;; 
-}
-
-{ .mfi
-(p0)  ldfe FR_P2 = [GR_Table_ptr],16 
-	nop.f 999
-	nop.i 999 ;;
-}
-
-{ .mfi
-	nop.m 999
-(p0)  fma.s1 FR_Y_hi = FR_W, FR_P4, FR_P3 
-	nop.i 999
-}
-//
-//    Load P2
-//    Load P6
-//    Wsq = w * w
-//    Y_hi = p4 * w + p3
-//
-
-{ .mfi
-(p0)  ldfe FR_P5 = [GR_Table_Base],16 
-(p0)  fma.s1 FR_Y_lo = FR_W, FR_P8, FR_P7 
-	nop.i 999 ;;
-}
-
-{ .mfi
-(p0)  ldfe FR_P1 = [GR_Table_ptr],16 
-//
-//    Load P1
-//    Load P5
-//    Y_lo = p8 * w + P7
-//
-(p0)  fmpy.s1 FR_w4 = FR_wsq, FR_wsq 
-	nop.i 999 ;;
+(p7)  ldfd          FR_Thi = [GR_ad_2]
+(p7)  ldfs          FR_Tlo = [GR_ad_1]
+(p10) br.ret.spnt   b0                   // Exit if |x| < 2^(-80)
 }
+;;
 
 { .mfi
-	nop.m 999
-(p0)  fma.s1 FR_Y_hi = FR_W, FR_Y_hi, FR_P2 
-	nop.i 999
+      nop.m         0
+      fma.s1        FR_r2 = FR_r,FR_r,f0 // r^2
+      nop.i         0
 }
-
 { .mfi
-	nop.m 999
-(p0)  fma.s1 FR_Y_lo = FR_W, FR_Y_lo, FR_P6 
-(p0)  add GR_Perturb = 0x1, r0 ;; 
+      nop.m         0
+      fms.s1        FR_A2 = FR_A3,FR_r,FR_A2 // A3*r+A2
+      nop.i         0
 }
+;;
 
 { .mfi
-	nop.m 999
-//
-//    w4 = w2 * w2 
-//    Y_hi = y_hi * w + p2 
-//    Y_lo = y_lo * w + p6 
-//    Create perturbation bit
-//
-(p0)  fmpy.s1 FR_w6 = FR_w4, FR_wsq 
-	nop.i 999 ;;
+      nop.m         0
+      fma.s1        FR_A6 = FR_A7,FR_r,FR_A6 // A7*r+A6
+      nop.i         0
 }
-
 { .mfi
-	nop.m 999
-(p0)  fma.s1 FR_Y_hi = FR_W, FR_Y_hi, FR_P1 
-	nop.i 999
+      nop.m         0
+      fma.s1        FR_A4 = FR_A5,FR_r,FR_A4 // A5*r+A4
+      nop.i         0
 }
-//
-//    Y_hi = y_hi * w + p1 
-//    w6 = w4 * w2 
-//
+;;
 
 { .mfi
-(p0)  setf.sig FR_Q4 = GR_Perturb 
-(p0)  fma.s1 FR_Y_lo = FR_W, FR_Y_lo, FR_P5 
-	nop.i 999 ;;
+      nop.m         0
+(p7)  fcvt.xf       FR_N = FR_N
+      nop.i         0
 }
+;;
 
 { .mfi
-	nop.m 999
-(p0)  fma.s1 FR_Y_hi = FR_wsq,FR_Y_hi, FR_W 
-	nop.i 999
-}
-
-{ .mfb
-	nop.m 999
-//
-//    Y_hi = y_hi * wsq + w 
-//    Y_lo = y_lo * w + p5 
-//
-(p0)  fmpy.s1 FR_Y_lo = FR_w6, FR_Y_lo 
-//
-//    Y_lo = y_lo * w6  
-//
-// (p0)  for FR_dummy = FR_Y_lo,FR_dummy ;;
-//
-//    Set lsb on: Taken out to improve performance 
-//
-// (p0)  fmerge.se FR_Y_lo =  FR_Y_lo,FR_dummy ;;
-//
-//    Make sure it's on in Y_lo also.  Taken out to improve
-//    performance
-//
-(p0)  br.cond.sptk L(LOG_main) ;; 
-}
-
-
-L(log1p_small): 
-
-{ .mmi
-	nop.m 999
-	nop.m 999
-//  /*******************************************************/
-//  /*********** Branch log1p_small  ***********************/
-//  /*******************************************************/
-(p0)  addl GR_Table_Base = @ltoff(Constants_Threshold#),gp 
+      nop.m         0
+      fma.s1        FR_r4 = FR_r2,FR_r2,f0 // r^4
+      nop.i         0
 }
-
 { .mfi
-	nop.m 999
-(p0)  mov FR_Em1 = FR_W 
-(p0)  cmp.eq.unc  p7, p0 = r0, r0 ;; 
-}
-
-{ .mlx
-      ld8    GR_Table_Base = [GR_Table_Base]
-(p0)  movl GR_Expo_Range = 0x0000000000000002 ;; 
-}
-//
-//    Set Safe to true
-//    Set Expo_Range = 0 for single
-//    Set Expo_Range = 2 for double 
-//    Set Expo_Range = 4 for double-extended 
-//
-
-{ .mmi
-(p0)  shladd GR_Table_Base = GR_Expo_Range,4,GR_Table_Base ;; 
-(p0)  ldfe FR_Threshold = [GR_Table_Base],16 
-	nop.i 999
-}
-
-{ .mlx
-	nop.m 999
-(p0)  movl GR_Bias = 0x000000000000FF9B ;; 
+      nop.m         0
+      // (A3*r+A2)*r^2+r
+      fma.s1        FR_A2 = FR_A2,FR_r2,FR_r
+      nop.i         0
 }
+;;
 
 { .mfi
-(p0)  ldfe FR_Tiny = [GR_Table_Base],0 
-	nop.f 999
-	nop.i 999 ;;
+      nop.m         0
+      // (A7*r+A6)*r^2+(A5*r+A4)
+      fma.s1        FR_A4 = FR_A6,FR_r2,FR_A4
+      nop.i         0
 }
+;;
 
 { .mfi
-	nop.m 999
-(p0)  fcmp.gt.unc.s1 p13, p12 =  FR_abs_W, FR_Threshold 
-	nop.i 999 ;;
+      nop.m         0
+      // N*Ln2hi+Thi
+(p7)  fma.s1        FR_NxLn2hipThi = FR_N,FR_Ln2hi,FR_Thi
+      nop.i         0
 }
-
 { .mfi
-	nop.m 999
-(p13) fnmpy.s1 FR_Y_lo = FR_W, FR_W 
-	nop.i 999
+      nop.m         0
+      // N*Ln2lo+Tlo
+(p7)  fma.s1        FR_NxLn2lopTlo = FR_N,FR_Ln2lo,FR_Tlo
+      nop.i         0
 }
+;;
 
 { .mfi
-	nop.m 999
-(p13) fadd FR_SCALE = f0, f1 
-	nop.i 999 ;;
+      nop.m         0
+(p7)  fma.s1        f8 = FR_A4,FR_r4,FR_A2 // P(r) if |x| >= 1/256
+      nop.i         0
 }
-
 { .mfi
-	nop.m 999
-(p12) fsub.s1 FR_Y_lo = f0, FR_Tiny 
-(p12) cmp.ne.unc  p7, p0 = r0, r0 
+      nop.m         0
+      // (N*Ln2hi+Thi) + (N*Ln2lo+Tlo)
+(p7)  fma.s1        FR_NxLn2pT = FR_NxLn2hipThi,f1,FR_NxLn2lopTlo
+      nop.i         0
 }
+;;
 
+.pred.rel "mutex",p6,p7
 { .mfi
-(p12) setf.exp FR_SCALE = GR_Bias 
-	nop.f 999
-	nop.i 999 ;;
+      nop.m         0
+(p6)  fma.d.s0      f8 = FR_A4,FR_r4,FR_A2 // result if 2^(-80) <= |x| < 1/256
+      nop.i         0
 }
-
-//
-//    Set p7 to SAFE = FALSE
-//    Set Scale = 2^-100 
-//
 { .mfb
-	nop.m 999
-(p0)  fma.d.s0 FR_Input_X = FR_Y_lo,FR_SCALE,FR_Y_hi
-(p0)  br.ret.sptk   b0
+      nop.m         0
+(p7)  fma.d.s0      f8 = f8,f1,FR_NxLn2pT  // result if |x| >= 1/256
+      br.ret.sptk   b0                     // Exit if |x| >= 2^(-80)
 }
 ;;
 
-L(LOG_64_one): 
-
+.align 32
+log1p_unorm:
+// Here if x=unorm
 { .mfb
-	nop.m 999
-(p0)  fmpy.d.s0 FR_Input_X = FR_Input_X, f0 
-(p0)  br.ret.sptk   b0
+      getf.exp      GR_signexp_x = FR_NormX // recompute biased exponent
+      nop.f         0
+      br.cond.sptk  log1p_common
 }
 ;;
 
-//    
-//    Raise divide by zero for +/-0 input.
-//    
-L(LOG_64_zero): 
-
+.align 32
+log1p_eq_minus_1:
+// Here if x=-1
 { .mfi
-(p0)  mov   GR_Parameter_TAG = 140
-//
-//    If we have log1p(0), return -Inf.
-//  
-(p0)  fsub.s0 FR_Output_X_tmp = f0, f1 
-      nop.i 999 ;;
+      nop.m         0
+      fmerge.s      FR_X = f8,f8 // keep input argument for subsequent
+                                 // call of __libm_error_support#
+      nop.i         0
 }
-{ .mfb
-      nop.m 999
-(p0)  frcpa.s0 FR_Output_X_tmp, p8 =  FR_Output_X_tmp, f0 
-(p0)  br.cond.sptk L(LOG_ERROR_Support) ;; 
-}
-
-L(LOG_64_special): 
+;;
 
 { .mfi
-      nop.m 999
-//    
-//    Return -Inf or value from handler.
-//    
-(p0)  fclass.m.unc p7, p0 =  FR_Input_X, 0x1E1 
-      nop.i 999 ;;
+      mov           GR_TAG = 140  // set libm error in case of log1p(-1).
+      frcpa.s0      f8,p0 = f8,f0 // log1p(-1) should be equal to -INF.
+                                      // We can get it using frcpa because it
+                                      // sets result to the IEEE-754 mandated
+                                      // quotient of f8/f0.
+      nop.i         0
 }
-{ .mfb
-      nop.m 999
-//     
-//    Check for Natval, QNan, SNaN, +Inf   
-//    
-(p7)  fmpy.d.s0  f8 =  FR_Input_X, f1 
-//     
-//    For SNaN raise invalid and return QNaN.
-//    For QNaN raise invalid and return QNaN.
-//    For +Inf return +Inf.
-//    
-(p7)  br.ret.sptk   b0
+{ .mib
+      nop.m         0
+      nop.i         0
+      br.cond.sptk  log_libm_err
 }
 ;;
 
-//    
-//    For -Inf raise invalid and return QNaN.
-//    
-
-{ .mfb
-(p0)  mov   GR_Parameter_TAG = 141 
-(p0)  fmpy.d.s0  FR_Output_X_tmp =  FR_Input_X, f0 
-(p0)  br.cond.sptk L(LOG_ERROR_Support) ;; 
+.align 32
+log1p_lt_minus_1:
+// Here if x < -1
+{ .mfi
+      nop.m         0
+      fmerge.s      FR_X = f8,f8
+      nop.i         0
 }
+;;
 
-//     
-//    Report that log1p(-Inf) computed
-//     
-
-L(LOG_64_unsupported): 
-
-//    
-//    Return generated NaN or other value .
-//    
-
-{ .mfb
-      nop.m 999
-(p0)  fmpy.d.s0 FR_Input_X = FR_Input_X, f0 
-(p0)  br.ret.sptk   b0 ;;
+{ .mfi
+      mov           GR_TAG = 141  // set libm error in case of x < -1.
+      frcpa.s0      f8,p0 = f0,f0 // log1p(x) x < -1 should be equal to NaN.
+                                  // We can get it using frcpa because it
+                                  // sets result to the IEEE-754 mandated
+                                  // quotient of f0/f0 i.e. NaN.
+      nop.i         0
 }
+;;
 
-L(LOG_64_negative): 
-
-{ .mfi
-      nop.m 999
-//     
-//    Deal with x < 0 in a special way 
-//    
-(p0)  frcpa.s0 FR_Output_X_tmp, p8 =  f0, f0 
-//     
-//    Deal with x < 0 in a special way - raise
-//    invalid and produce QNaN indefinite.
-//    
-(p0)  mov   GR_Parameter_TAG = 141
+.align 32
+log_libm_err:
+{ .mmi
+      alloc         r32 = ar.pfs,1,4,4,0
+      mov           GR_Parameter_TAG = GR_TAG
+      nop.i         0
 }
+;;
 
-.endp log1p#
-ASM_SIZE_DIRECTIVE(log1p)
+GLOBAL_IEEE754_END(log1p)
 
-.proc __libm_error_region
-__libm_error_region:
-L(LOG_ERROR_Support): 
+LOCAL_LIBM_ENTRY(__libm_error_region)
 .prologue
-
-// (1)
 { .mfi
-        add   GR_Parameter_Y=-32,sp             // Parameter 2 value
+        add   GR_Parameter_Y = -32,sp         // Parameter 2 value
         nop.f 0
 .save   ar.pfs,GR_SAVE_PFS
-        mov  GR_SAVE_PFS=ar.pfs                 // Save ar.pfs
+        mov  GR_SAVE_PFS = ar.pfs             // Save ar.pfs
 }
 { .mfi
 .fframe 64
-        add sp=-64,sp                          // Create new stack
+        add sp = -64,sp                       // Create new stack
         nop.f 0
-        mov GR_SAVE_GP=gp                      // Save gp
+        mov GR_SAVE_GP = gp                   // Save gp
 };;
-
-
-// (2)
 { .mmi
-        stfd [GR_Parameter_Y] = f0,16         // STORE Parameter 2 on stack
+        stfd [GR_Parameter_Y] = FR_Y,16       // STORE Parameter 2 on stack
         add GR_Parameter_X = 16,sp            // Parameter 1 address
 .save   b0, GR_SAVE_B0
-        mov GR_SAVE_B0=b0                     // Save b0
+        mov GR_SAVE_B0 = b0                   // Save b0
 };;
-
 .body
-// (3)
 { .mib
-        stfd [GR_Parameter_X] =FR_Input_X               // STORE Parameter 1 on stack
-        add   GR_Parameter_RESULT = 0,GR_Parameter_Y    // Parameter 3 address
-        nop.b 0                                      
+        stfd [GR_Parameter_X] = FR_X          // STORE Parameter 1 on stack
+        add   GR_Parameter_RESULT = 0,GR_Parameter_Y // Parameter 3 address
+        nop.b 0
 }
 { .mib
-        stfd [GR_Parameter_Y] = FR_Output_X_tmp         // STORE Parameter 3 on stack
+        stfd [GR_Parameter_Y] = FR_RESULT     // STORE Parameter 3 on stack
         add   GR_Parameter_Y = -16,GR_Parameter_Y
-        br.call.sptk b0=__libm_error_support#           // Call error handling function
+        br.call.sptk b0=__libm_error_support# // Call error handling function
 };;
 { .mmi
-        nop.m 0
-        nop.m 0
         add   GR_Parameter_RESULT = 48,sp
+        nop.m 0
+        nop.i 0
 };;
-
-// (4)
 { .mmi
-        ldfd  FR_Input_X = [GR_Parameter_RESULT]       // Get return result off stack
+        ldfd  f8 = [GR_Parameter_RESULT]      // Get return result off stack
 .restore sp
-        add   sp = 64,sp                       // Restore stack pointer
-        mov   b0 = GR_SAVE_B0                  // Restore return address
+        add   sp = 64,sp                      // Restore stack pointer
+        mov   b0 = GR_SAVE_B0                 // Restore return address
 };;
 { .mib
-        mov   gp = GR_SAVE_GP                  // Restore gp
-        mov   ar.pfs = GR_SAVE_PFS             // Restore ar.pfs
-        br.ret.sptk   b0 
+        mov   gp = GR_SAVE_GP                 // Restore gp
+        mov   ar.pfs = GR_SAVE_PFS            // Restore ar.pfs
+        br.ret.sptk     b0                    // Return
 };;
-
-.endp __libm_error_region
-ASM_SIZE_DIRECTIVE(__libm_error_region)
-
-.proc __libm_LOG_main 
-__libm_LOG_main:
-L(LOG_main): 
-
-//
-//    kernel_log_64 computes ln(X + E)
-//
-
-{ .mfi
-	nop.m 999
-(p7)  fadd.d.s0 FR_Input_X = FR_Y_lo,FR_Y_hi
-        nop.i 999
-}
-
-{ .mmi
-	nop.m 999
-	nop.m 999
-(p14) addl GR_Table_Base = @ltoff(Constants_1_by_LN10#),gp ;; 
-}
-
-{ .mmi
-      nop.m 999
-(p14) ld8    GR_Table_Base = [GR_Table_Base]
-      nop.i 999
-};;
-
-{ .mmi
-(p14) ldfe FR_1LN10_hi = [GR_Table_Base],16 ;; 
-(p14) ldfe FR_1LN10_lo = [GR_Table_Base]
-	nop.i 999 ;;
-}
-
-{ .mfi
-	nop.m 999
-(p14) fmpy.s1 FR_Output_X_tmp = FR_Y_lo,FR_1LN10_hi
-	nop.i 999 ;;
-}
-
-{ .mfi
-	nop.m 999
-(p14) fma.s1  FR_Output_X_tmp = FR_Y_hi,FR_1LN10_lo,FR_Output_X_tmp
-	nop.i 999 ;;
-}
-
-{ .mfb
-	nop.m 999
-(p14) fma.d.s0 FR_Input_X = FR_Y_hi,FR_1LN10_hi,FR_Output_X_tmp
-(p0)  br.ret.sptk   b0 ;; 
-}
-.endp __libm_LOG_main
-ASM_SIZE_DIRECTIVE(__libm_LOG_main)
-
+LOCAL_LIBM_END(__libm_error_region)
 
 .type   __libm_error_support#,@function
 .global __libm_error_support#
+
diff --git a/sysdeps/ia64/fpu/s_log1pf.S b/sysdeps/ia64/fpu/s_log1pf.S
index 8aff9b895a..a148d4b272 100644
--- a/sysdeps/ia64/fpu/s_log1pf.S
+++ b/sysdeps/ia64/fpu/s_log1pf.S
@@ -1,10 +1,10 @@
-.file "log1pf.s" 
+.file "log1pf.s"
 
-// Copyright (C) 2000, 2001, Intel Corporation
+
+// Copyright (c) 2000 - 2003, Intel Corporation
 // All rights reserved.
-// 
-// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story,
-// and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
 //
 // Redistribution and use in source and binary forms, with or without
 // modification, are permitted provided that the following conditions are
@@ -20,1610 +20,768 @@
 // * The name of Intel Corporation may not be used to endorse or promote
 // products derived from this software without specific prior written
 // permission.
-//
-// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
-// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
-// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS 
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
 // CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
-// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, 
-// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 
-// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY 
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
 // OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
-// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 
-// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 
-// 
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+//
 // Intel Corporation is the author of this code, and requests that all
-// problem reports or change requests be submitted to it directly at 
-// http://developer.intel.com/opensource.
+// problem reports or change requests be submitted to it directly at
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
 //
 // History
 //==============================================================
-// 2/02/00  Initial version
-// 4/04/00  Unwind support added
-// 8/15/00  Bundle added after call to __libm_error_support to properly
+// 02/02/00 Initial version
+// 04/04/00 Unwind support added
+// 08/15/00 Bundle added after call to __libm_error_support to properly
 //          set [the previously overwritten] GR_Parameter_RESULT.
+// 06/29/01 Improved speed of all paths
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 10/02/02 Improved performance by basing on log algorithm
+// 02/10/03 Reordered header: .section, .global, .proc, .align
+// 04/18/03 Eliminate possible WAW dependency warning
 //
-// *********************************************************************
-//
-// Function:   log1pf(x) = ln(x+1), for single precision values
-//
-// *********************************************************************
-//
-// Accuracy:   Very accurate for single precision values
-//
-// *********************************************************************
-//
-// Resources Used:
-//
-//    Floating-Point Registers: f8 (Input and Return Value)
-//                              f9,f33-f55,f99 
-//
-//    General Purpose Registers:
-//      r32-r53
-//      r54-r57 (Used to pass arguments to error handling routine)
-//
-//    Predicate Registers:      p6-p15
-//
-// *********************************************************************
-//
-// IEEE Special Conditions:
-//
-//    Denormal  fault raised on denormal inputs
-//    Overflow exceptions cannot occur  
-//    Underflow exceptions raised when appropriate for log1pf 
-//    (Error Handling Routine called for underflow)
-//    Inexact raised when appropriate by algorithm
-//
-//    log1pf(inf) = inf
-//    log1pf(-inf) = QNaN 
-//    log1pf(+/-0) = +/-0 
-//    log1pf(-1) =  -inf 
-//    log1pf(SNaN) = QNaN
-//    log1pf(QNaN) = QNaN
-//    log1pf(EM_special Values) = QNaN
-//
-// *********************************************************************
-//
-// Computation is based on the following kernel.
-//
-// ker_log_64( in_FR    :  X,
-// 	    in_FR    :  E,
-// 	    in_FR    :  Em1,
-// 	    in_GR    :  Expo_Range,
-// 	    out_FR   :  Y_hi,
-// 	    out_FR   :  Y_lo,
-// 	    out_FR   :  Scale,
-// 	    out_PR   :  Safe  )
-// 
-// Overview
-//
-// The method consists of three cases.
-//
-// If	|X+Em1| < 2^(-80)	use case log1pf_small;
-// elseif	|X+Em1| < 2^(-7)	use case log_near1;
-// else				use case log_regular;
-//
-// Case log1pf_small:
-//
-// log( 1 + (X+Em1) ) can be approximated by (X+Em1).
-//
-// Case log_near1:
-//
-//   log( 1 + (X+Em1) ) can be approximated by a simple polynomial
-//   in W = X+Em1. This polynomial resembles the truncated Taylor
-//   series W - W^/2 + W^3/3 - ...
-// 
-// Case log_regular:
-//
-//   Here we use a table lookup method. The basic idea is that in
-//   order to compute log(Arg) for an argument Arg in [1,2), we 
-//   construct a value G such that G*Arg is close to 1 and that
-//   log(1/G) is obtainable easily from a table of values calculated
-//   beforehand. Thus
-//
-//	log(Arg) = log(1/G) + log(G*Arg)
-//		 = log(1/G) + log(1 + (G*Arg - 1))
-//
-//   Because |G*Arg - 1| is small, the second term on the right hand
-//   side can be approximated by a short polynomial. We elaborate
-//   this method in four steps.
-//
-//   Step 0: Initialization
-//
-//   We need to calculate log( E + X ). Obtain N, S_hi, S_lo such that
-//
-//	E + X = 2^N * ( S_hi + S_lo )	exactly
-//
-//   where S_hi in [1,2) and S_lo is a correction to S_hi in the sense
-//   that |S_lo| <= ulp(S_hi).
-//
-//   Step 1: Argument Reduction
-//
-//   Based on S_hi, obtain G_1, G_2, G_3 from a table and calculate
-//
-//	G := G_1 * G_2 * G_3
-//	r := (G * S_hi - 1)  + G * S_lo
-//
-//   These G_j's have the property that the product is exactly 
-//   representable and that |r| < 2^(-12) as a result.
-//
-//   Step 2: Approximation
-//
-//
-//   log(1 + r) is approximated by a short polynomial poly(r).
-//
-//   Step 3: Reconstruction
-//
-//
-//   Finally, log( E + X ) is given by
-//
-//   log( E + X )   =   log( 2^N * (S_hi + S_lo) )
-//                 ~=~  N*log(2) + log(1/G) + log(1 + r)
-//                 ~=~  N*log(2) + log(1/G) + poly(r).
-//
-// **** Algorithm ****
-//
-// Case log1pf_small:
-//
-// Although log(1 + (X+Em1)) is basically X+Em1, we would like to 
-// preserve the inexactness nature as well as consistent behavior
-// under different rounding modes. Note that this case can only be
-// taken if E is set to be 1.0. In this case, Em1 is zero, and that
-// X can be very tiny and thus the final result can possibly underflow.
-// Thus, we compare X against a threshold that is dependent on the
-// input Expo_Range. If |X| is smaller than this threshold, we set
-// SAFE to be FALSE. 
-//
-// The result is returned as Y_hi, Y_lo, and in the case of SAFE 
-// is FALSE, an additional value Scale is also returned. 
-//
-//	W    := X + Em1
-//      Threshold := Threshold_Table( Expo_Range )
-//      Tiny      := Tiny_Table( Expo_Range )
-//
-//      If ( |W| > Threshold ) then
-//         Y_hi  := W
-//         Y_lo  := -W*W
-//      Else
-//         Y_hi  := W
-//         Y_lo  := -Tiny
-//         Scale := 2^(-100)
-//         Safe  := FALSE
-//      EndIf
-//
-//
-// One may think that Y_lo should be -W*W/2; however, it does not matter
-// as Y_lo will be rounded off completely except for the correct effect in 
-// directed rounding. Clearly -W*W is simplier to compute. Moreover,
-// because of the difference in exponent value, Y_hi + Y_lo or 
-// Y_hi + Scale*Y_lo is always inexact.
-//
-// Case log_near1:
-//
-// Here we compute a simple polynomial. To exploit parallelism, we split
-// the polynomial into two portions.
-// 
-// 	W := X + Em1
-// 	Wsq := W * W
-// 	W4  := Wsq*Wsq
-// 	W6  := W4*Wsq
-// 	Y_hi := W + Wsq*(P_1 + W*(P_2 + W*(P_3 + W*P_4))
-// 	Y_lo := W6*(P_5 + W*(P_6 + W*(P_7 + W*P_8)))
-//      set lsb(Y_lo) to be 1
-//
-// Case log_regular:
-//
-// We present the algorithm in four steps.
-//
-//   Step 0. Initialization
-//   ----------------------
-//
-//   Z := X + E
-//   N := unbaised exponent of Z
-//   S_hi := 2^(-N) * Z
-//   S_lo := 2^(-N) * { (max(X,E)-Z) + min(X,E) }
-//
-//   Note that S_lo is always 0 for the case E = 0.
-//
-//   Step 1. Argument Reduction
-//   --------------------------
-//
-//   Let
-//
-//	Z = 2^N * S_hi = 2^N * 1.d_1 d_2 d_3 ... d_63
-//
-//   We obtain G_1, G_2, G_3 by the following steps.
-//
+// API
+//==============================================================
+// float log1pf(float)
 //
-//	Define		X_0 := 1.d_1 d_2 ... d_14. This is extracted
-//			from S_hi.
+// log1p(x) = log(x+1)
 //
-//	Define		A_1 := 1.d_1 d_2 d_3 d_4. This is X_0 truncated
-//			to lsb = 2^(-4).
+// Overview of operation
+//==============================================================
+// Background
+// ----------
 //
-//	Define		index_1 := [ d_1 d_2 d_3 d_4 ].
+// This algorithm is based on fact that
+// log1p(x) = log(1+x) and
+// log(a b) = log(a) + log(b).
+// In our case we have 1+x = 2^N f, where 1 <= f < 2.
+// So
+//   log(1+x) = log(2^N f) = log(2^N) + log(f) = n*log(2) + log(f)
 //
-//	Fetch 		Z_1 := (1/A_1) rounded UP in fixed point with
-//	fixed point	lsb = 2^(-15).
-//			Z_1 looks like z_0.z_1 z_2 ... z_15
-//		        Note that the fetching is done using index_1.
-//			A_1 is actually not needed in the implementation
-//			and is used here only to explain how is the value
-//			Z_1 defined.
+// To calculate log(f) we do following
+//   log(f) = log(f * frcpa(f) / frcpa(f)) =
+//          = log(f * frcpa(f)) + log(1/frcpa(f))
 //
-//	Fetch		G_1 := (1/A_1) truncated to 21 sig. bits.
-//	floating pt.	Again, fetching is done using index_1. A_1
-//			explains how G_1 is defined.
+// According to definition of IA-64's frcpa instruction it's a
+// floating point that approximates 1/f using a lookup on the
+// top of 8 bits of the input number's + 1 significand with relative
+// error < 2^(-8.886). So we have following
 //
-//	Calculate	X_1 := X_0 * Z_1 truncated to lsb = 2^(-14)
-//			     = 1.0 0 0 0 d_5 ... d_14
-//			This is accomplised by integer multiplication.
-//			It is proved that X_1 indeed always begin
-//			with 1.0000 in fixed point.
+// |(1/f - frcpa(f)) / (1/f))| = |1 - f*frcpa(f)| < 1/256
 //
+// and
 //
-//	Define		A_2 := 1.0 0 0 0 d_5 d_6 d_7 d_8. This is X_1 
-//			truncated to lsb = 2^(-8). Similar to A_1,
-//			A_2 is not needed in actual implementation. It
-//			helps explain how some of the values are defined.
+// log(f) = log(f * frcpa(f)) + log(1/frcpa(f)) =
+//        = log(1 + r) + T
 //
-//	Define		index_2 := [ d_5 d_6 d_7 d_8 ].
+// The first value can be computed by polynomial P(r) approximating
+// log(1 + r) on |r| < 1/256 and the second is precomputed tabular
+// value defined by top 8 bit of f.
 //
-//	Fetch 		Z_2 := (1/A_2) rounded UP in fixed point with
-//	fixed point	lsb = 2^(-15). Fetch done using index_2.
-//			Z_2 looks like z_0.z_1 z_2 ... z_15
+// Finally we have that  log(1+x) ~ (N*log(2) + T) + P(r)
 //
-//	Fetch		G_2 := (1/A_2) truncated to 21 sig. bits.
-//	floating pt.
+// Note that if input argument is close to 0.0 (in our case it means
+// that |x| < 1/256) we can use just polynomial approximation
+// because 1+x = 2^0 * f = f = 1 + r and
+// log(1+x) = log(1 + r) ~ P(r)
 //
-//	Calculate	X_2 := X_1 * Z_2 truncated to lsb = 2^(-14)
-//			     = 1.0 0 0 0 0 0 0 0 d_9 d_10 ... d_14
-//			This is accomplised by integer multiplication.
-//			It is proved that X_2 indeed always begin
-//			with 1.00000000 in fixed point.
 //
+// Implementation
+// --------------
 //
-//	Define		A_3 := 1.0 0 0 0 0 0 0 0 d_9 d_10 d_11 d_12 d_13 1.
-//			This is 2^(-14) + X_2 truncated to lsb = 2^(-13).
+// 1. |x| >= 2^(-8), and x > -1
+//   InvX = frcpa(x+1)
+//   r = InvX*(x+1) - 1
+//   P(r) = r*((1 - A2*4) + r^2*(A3 - A4*r)) = r*P2(r),
+//   A4,A3,A2 are created with setf instruction.
+//   We use Taylor series and so A4 = 1/4, A3 = 1/3,
+//   A2 = 1/2 rounded to double.
 //
-//	Define		index_3 := [ d_9 d_10 d_11 d_12 d_13 ].
+//   N = float(n) where n is true unbiased exponent of x
 //
-//	Fetch		G_3 := (1/A_3) truncated to 21 sig. bits.
-//	floating pt.	Fetch is done using index_3.
+//   T is tabular value of log(1/frcpa(x)) calculated in quad precision
+//   and rounded to double.  To load T we get bits from 55 to 62 of register
+//   format significand as index and calculate address
+//     ad_T = table_base_addr + 8 * index
 //
-//	Compute		G := G_1 * G_2 * G_3. 
+//   L1 (log(2)) is calculated in quad precision and rounded to double;
+//   it's created with setf
 //
-//	This is done exactly since each of G_j only has 21 sig. bits.
+//   And final result = P2(r)*r + (T + N*L1)
 //
-//	Compute   
 //
-//		r := (G*S_hi - 1) + G*S_lo   using 2 FMA operations.
+// 2. 2^(-40) <= |x| < 2^(-8)
+//   r = x
+//   P(r) = r*((1 - A2*4) + r^2*(A3 - A4*r)) = r*P2(r),
+//   A4,A3,A2 are the same as in case |x| >= 1/256
 //
-//	thus, r approximates G*(S_hi+S_lo) - 1 to within a couple of 
-//	rounding errors.
+//   And final result = P2(r)*r
 //
+// 3. 0 < |x| < 2^(-40)
+//   Although log1p(x) is basically x, we would like to preserve the inexactness
+//   nature as well as consistent behavior under different rounding modes.
+//   We can do this by computing the result as
 //
-//  Step 2. Approximation
-//  ---------------------
+//     log1p(x) = x - x*x
 //
-//   This step computes an approximation to log( 1 + r ) where r is the
-//   reduced argument just obtained. It is proved that |r| <= 1.9*2^(-13);
-//   thus log(1+r) can be approximated by a short polynomial:
 //
-//	log(1+r) ~=~ poly = r + Q1 r^2 + ... + Q4 r^5
+//    Note: NaT, any NaNs, +/-INF, +/-0, negatives and unnormalized numbers are
+//          filtered and processed on special branches.
 //
+
 //
-//  Step 3. Reconstruction
-//  ----------------------
+// Special values
+//==============================================================
 //
-//   This step computes the desired result of log(X+E):
+// log1p(-1)    = -inf            // Call error support
 //
-//	log(X+E)  =   log( 2^N * (S_hi + S_lo) )
-//		  =   N*log(2) + log( S_hi + S_lo )
-//		  =   N*log(2) + log(1/G) +
-//		      log(1 + C*(S_hi+S_lo) - 1 )
+// log1p(+qnan) = +qnan
+// log1p(-qnan) = -qnan
+// log1p(+snan) = +qnan
+// log1p(-snan) = -qnan
 //
-//   log(2), log(1/G_j) are stored as pairs of (single,double) numbers:
-//   log2_hi, log2_lo, log1byGj_hi, log1byGj_lo. The high parts are
-//   single-precision numbers and the low parts are double precision
-//   numbers. These have the property that
+// log1p(x),x<-1= QNAN Indefinite // Call error support
+// log1p(-inf)  = QNAN Indefinite
+// log1p(+inf)  = +inf
+// log1p(+/-0)  = +/-0
 //
-//	N*log2_hi + SUM ( log1byGj_hi )
 //
-//   is computable exactly in double-extended precision (64 sig. bits).
-//   Finally
+// Registers used
+//==============================================================
+// Floating Point registers used:
+// f8, input
+// f7 -> f15,  f32 -> f36
 //
-//	Y_hi := N*log2_hi + SUM ( log1byGj_hi )
-//	Y_lo := poly_hi + [ poly_lo + 
-//	        ( SUM ( log1byGj_lo ) + N*log2_lo ) ]
-//      set lsb(Y_lo) to be 1
+// General registers used:
+// r8  -> r11
+// r14 -> r22
 //
+// Predicate registers used:
+// p6 -> p12
 
-#include "libm_support.h"
-
-#ifdef _LIBC
-.rodata
-#else
-.data
-#endif
+// Assembly macros
+//==============================================================
+GR_TAG                 = r8
+GR_ad_T                = r9
+GR_Exp                 = r10
+GR_N                   = r11
 
-// P_7, P_6, P_5, P_4, P_3, P_2, and P_1 
+GR_signexp_x           = r14
+GR_exp_mask            = r15
+GR_exp_bias            = r16
+GR_05                  = r17
+GR_A3                  = r18
+GR_Sig                 = r19
+GR_Ind                 = r19
+GR_exp_x               = r20
+GR_Ln2                 = r21
+GR_025                 = r22
 
-.align 64
-Constants_P:
-ASM_TYPE_DIRECTIVE(Constants_P,@object)
-data4  0xEFD62B15,0xE3936754,0x00003FFB,0x00000000
-data4  0xA5E56381,0x8003B271,0x0000BFFC,0x00000000
-data4  0x73282DB0,0x9249248C,0x00003FFC,0x00000000
-data4  0x47305052,0xAAAAAA9F,0x0000BFFC,0x00000000
-data4  0xCCD17FC9,0xCCCCCCCC,0x00003FFC,0x00000000
-data4  0x00067ED5,0x80000000,0x0000BFFD,0x00000000
-data4  0xAAAAAAAA,0xAAAAAAAA,0x00003FFD,0x00000000
-data4  0xFFFFFFFE,0xFFFFFFFF,0x0000BFFD,0x00000000
-ASM_SIZE_DIRECTIVE(Constants_P)
- 
-// log2_hi, log2_lo, Q_4, Q_3, Q_2, and Q_1 
 
-.align 64
-Constants_Q:
-ASM_TYPE_DIRECTIVE(Constants_Q,@object)
-data4  0x00000000,0xB1721800,0x00003FFE,0x00000000 
-data4  0x4361C4C6,0x82E30865,0x0000BFE2,0x00000000
-data4  0x328833CB,0xCCCCCAF2,0x00003FFC,0x00000000
-data4  0xA9D4BAFB,0x80000077,0x0000BFFD,0x00000000
-data4  0xAAABE3D2,0xAAAAAAAA,0x00003FFD,0x00000000
-data4  0xFFFFDAB7,0xFFFFFFFF,0x0000BFFD,0x00000000
-ASM_SIZE_DIRECTIVE(Constants_Q)
- 
-// Z1 - 16 bit fixed, G1 and H1 - IEEE single 
- 
-.align 64
-Constants_Z_G_H_h1:
-ASM_TYPE_DIRECTIVE(Constants_Z_G_H_h1,@object)
-data4  0x00008000,0x3F800000,0x00000000,0x00000000,0x00000000,0x00000000
-data4  0x00007879,0x3F70F0F0,0x3D785196,0x00000000,0x617D741C,0x3DA163A6
-data4  0x000071C8,0x3F638E38,0x3DF13843,0x00000000,0xCBD3D5BB,0x3E2C55E6
-data4  0x00006BCB,0x3F579430,0x3E2FF9A0,0x00000000,0xD86EA5E7,0xBE3EB0BF
-data4  0x00006667,0x3F4CCCC8,0x3E647FD6,0x00000000,0x86B12760,0x3E2E6A8C
-data4  0x00006187,0x3F430C30,0x3E8B3AE7,0x00000000,0x5C0739BA,0x3E47574C
-data4  0x00005D18,0x3F3A2E88,0x3EA30C68,0x00000000,0x13E8AF2F,0x3E20E30F
-data4  0x0000590C,0x3F321640,0x3EB9CEC8,0x00000000,0xF2C630BD,0xBE42885B
-data4  0x00005556,0x3F2AAAA8,0x3ECF9927,0x00000000,0x97E577C6,0x3E497F34
-data4  0x000051EC,0x3F23D708,0x3EE47FC5,0x00000000,0xA6B0A5AB,0x3E3E6A6E
-data4  0x00004EC5,0x3F1D89D8,0x3EF8947D,0x00000000,0xD328D9BE,0xBDF43E3C
-data4  0x00004BDB,0x3F17B420,0x3F05F3A1,0x00000000,0x0ADB090A,0x3E4094C3
-data4  0x00004925,0x3F124920,0x3F0F4303,0x00000000,0xFC1FE510,0xBE28FBB2
-data4  0x0000469F,0x3F0D3DC8,0x3F183EBF,0x00000000,0x10FDE3FA,0x3E3A7895
-data4  0x00004445,0x3F088888,0x3F20EC80,0x00000000,0x7CC8C98F,0x3E508CE5
-data4  0x00004211,0x3F042108,0x3F29516A,0x00000000,0xA223106C,0xBE534874
-ASM_SIZE_DIRECTIVE(Constants_Z_G_H_h1)
- 
-// Z2 - 16 bit fixed, G2 and H2 - IEEE single 
+GR_SAVE_B0             = r33
+GR_SAVE_PFS            = r34
+GR_SAVE_GP             = r35
+GR_SAVE_SP             = r36
 
-.align 64 
-Constants_Z_G_H_h2:
-ASM_TYPE_DIRECTIVE(Constants_Z_G_H_h2,@object)
-data4  0x00008000,0x3F800000,0x00000000,0x00000000,0x00000000,0x00000000
-data4  0x00007F81,0x3F7F00F8,0x3B7F875D,0x00000000,0x22C42273,0x3DB5A116
-data4  0x00007F02,0x3F7E03F8,0x3BFF015B,0x00000000,0x21F86ED3,0x3DE620CF
-data4  0x00007E85,0x3F7D08E0,0x3C3EE393,0x00000000,0x484F34ED,0xBDAFA07E
-data4  0x00007E08,0x3F7C0FC0,0x3C7E0586,0x00000000,0x3860BCF6,0xBDFE07F0
-data4  0x00007D8D,0x3F7B1880,0x3C9E75D2,0x00000000,0xA78093D6,0x3DEA370F
-data4  0x00007D12,0x3F7A2328,0x3CBDC97A,0x00000000,0x72A753D0,0x3DFF5791
-data4  0x00007C98,0x3F792FB0,0x3CDCFE47,0x00000000,0xA7EF896B,0x3DFEBE6C
-data4  0x00007C20,0x3F783E08,0x3CFC15D0,0x00000000,0x409ECB43,0x3E0CF156
-data4  0x00007BA8,0x3F774E38,0x3D0D874D,0x00000000,0xFFEF71DF,0xBE0B6F97
-data4  0x00007B31,0x3F766038,0x3D1CF49B,0x00000000,0x5D59EEE8,0xBE080483
-data4  0x00007ABB,0x3F757400,0x3D2C531D,0x00000000,0xA9192A74,0x3E1F91E9
-data4  0x00007A45,0x3F748988,0x3D3BA322,0x00000000,0xBF72A8CD,0xBE139A06
-data4  0x000079D1,0x3F73A0D0,0x3D4AE46F,0x00000000,0xF8FBA6CF,0x3E1D9202
-data4  0x0000795D,0x3F72B9D0,0x3D5A1756,0x00000000,0xBA796223,0xBE1DCCC4
-data4  0x000078EB,0x3F71D488,0x3D693B9D,0x00000000,0xB6B7C239,0xBE049391
-ASM_SIZE_DIRECTIVE(Constants_Z_G_H_h2)
- 
-// G3 and H3 - IEEE single and h3 -IEEE double 
+GR_Parameter_X         = r37
+GR_Parameter_Y         = r38
+GR_Parameter_RESULT    = r39
+GR_Parameter_TAG       = r40
 
-.align 64 
-Constants_Z_G_H_h3:
-ASM_TYPE_DIRECTIVE(Constants_Z_G_H_h3,@object)
-data4  0x3F7FFC00,0x38800100,0x562224CD,0x3D355595
-data4  0x3F7FF400,0x39400480,0x06136FF6,0x3D8200A2
-data4  0x3F7FEC00,0x39A00640,0xE8DE9AF0,0x3DA4D68D
-data4  0x3F7FE400,0x39E00C41,0xB10238DC,0xBD8B4291
-data4  0x3F7FDC00,0x3A100A21,0x3B1952CA,0xBD89CCB8
-data4  0x3F7FD400,0x3A300F22,0x1DC46826,0xBDB10707
-data4  0x3F7FCC08,0x3A4FF51C,0xF43307DB,0x3DB6FCB9
-data4  0x3F7FC408,0x3A6FFC1D,0x62DC7872,0xBD9B7C47
-data4  0x3F7FBC10,0x3A87F20B,0x3F89154A,0xBDC3725E
-data4  0x3F7FB410,0x3A97F68B,0x62B9D392,0xBD93519D
-data4  0x3F7FAC18,0x3AA7EB86,0x0F21BD9D,0x3DC18441
-data4  0x3F7FA420,0x3AB7E101,0x2245E0A6,0xBDA64B95
-data4  0x3F7F9C20,0x3AC7E701,0xAABB34B8,0x3DB4B0EC
-data4  0x3F7F9428,0x3AD7DD7B,0x6DC40A7E,0x3D992337
-data4  0x3F7F8C30,0x3AE7D474,0x4F2083D3,0x3DC6E17B
-data4  0x3F7F8438,0x3AF7CBED,0x811D4394,0x3DAE314B
-data4  0x3F7F7C40,0x3B03E1F3,0xB08F2DB1,0xBDD46F21
-data4  0x3F7F7448,0x3B0BDE2F,0x6D34522B,0xBDDC30A4
-data4  0x3F7F6C50,0x3B13DAAA,0xB1F473DB,0x3DCB0070
-data4  0x3F7F6458,0x3B1BD766,0x6AD282FD,0xBDD65DDC
-data4  0x3F7F5C68,0x3B23CC5C,0xF153761A,0xBDCDAB83
-data4  0x3F7F5470,0x3B2BC997,0x341D0F8F,0xBDDADA40
-data4  0x3F7F4C78,0x3B33C711,0xEBC394E8,0x3DCD1BD7
-data4  0x3F7F4488,0x3B3BBCC6,0x52E3E695,0xBDC3532B
-data4  0x3F7F3C90,0x3B43BAC0,0xE846B3DE,0xBDA3961E
-data4  0x3F7F34A0,0x3B4BB0F4,0x785778D4,0xBDDADF06
-data4  0x3F7F2CA8,0x3B53AF6D,0xE55CE212,0x3DCC3ED1
-data4  0x3F7F24B8,0x3B5BA620,0x9E382C15,0xBDBA3103
-data4  0x3F7F1CC8,0x3B639D12,0x5C5AF197,0x3D635A0B
-data4  0x3F7F14D8,0x3B6B9444,0x71D34EFC,0xBDDCCB19
-data4  0x3F7F0CE0,0x3B7393BC,0x52CD7ADA,0x3DC74502
-data4  0x3F7F04F0,0x3B7B8B6D,0x7D7F2A42,0xBDB68F17
-ASM_SIZE_DIRECTIVE(Constants_Z_G_H_h3)
- 
-// 
-//  Exponent Thresholds and Tiny Thresholds
-//  for 8, 11, 15, and 17 bit exponents
-// 
-//  Expo_Range             Value
-// 
-//  0 (8  bits)            2^(-126)
-//  1 (11 bits)            2^(-1022)
-//  2 (15 bits)            2^(-16382)
-//  3 (17 bits)            2^(-16382)
-// 
-//  Tiny_Table
-//  ----------
-//  Expo_Range             Value
-// 
-//  0 (8  bits)            2^(-16382)
-//  1 (11 bits)            2^(-16382)
-//  2 (15 bits)            2^(-16382)
-//  3 (17 bits)            2^(-16382)
-// 
 
-.align 64 
-Constants_Threshold:
-ASM_TYPE_DIRECTIVE(Constants_Threshold,@object)
-data4  0x00000000,0x80000000,0x00003F81,0x00000000
-data4  0x00000000,0x80000000,0x00000001,0x00000000
-data4  0x00000000,0x80000000,0x00003C01,0x00000000
-data4  0x00000000,0x80000000,0x00000001,0x00000000
-data4  0x00000000,0x80000000,0x00000001,0x00000000
-data4  0x00000000,0x80000000,0x00000001,0x00000000
-data4  0x00000000,0x80000000,0x00000001,0x00000000
-data4  0x00000000,0x80000000,0x00000001,0x00000000
-ASM_SIZE_DIRECTIVE(Constants_Threshold)
 
-.align 64
-Constants_1_by_LN10:
-ASM_TYPE_DIRECTIVE(Constants_1_by_LN10,@object)
-data4  0x37287195,0xDE5BD8A9,0x00003FFD,0x00000000
-data4  0xACCF70C8,0xD56EAABE,0x00003FBD,0x00000000
-ASM_SIZE_DIRECTIVE(Constants_1_by_LN10)
+FR_NormX               = f7
+FR_RcpX                = f9
+FR_r                   = f10
+FR_r2                  = f11
+FR_r4                  = f12
+FR_N                   = f13
+FR_Ln2                 = f14
+FR_Xp1                 = f15
 
-FR_Input_X = f8 
-FR_Neg_One = f9
-FR_E       = f33
-FR_Em1     = f34
-FR_Y_hi    = f34  
-// Shared with Em1
-FR_Y_lo    = f35
-FR_Scale   = f36
-FR_X_Prime = f37 
-FR_Z       = f38 
-FR_S_hi    = f38  
-// Shared with Z  
-FR_W       = f39
-FR_G       = f40
-FR_wsq     = f40 
-// Shared with G 
-FR_H       = f41
-FR_w4      = f41
-// Shared with H  
-FR_h       = f42
-FR_w6      = f42  
-// Shared with h     
-FR_G_tmp   = f43
-FR_poly_lo = f43
-// Shared with G_tmp 
-FR_P8      = f43  
-// Shared with G_tmp 
-FR_H_tmp   = f44
-FR_poly_hi = f44
-  // Shared with H_tmp
-FR_P7      = f44  
-// Shared with H_tmp
-FR_h_tmp   = f45 
-FR_rsq     = f45  
-// Shared with h_tmp
-FR_P6      = f45
-// Shared with h_tmp
-FR_abs_W   = f46
-FR_r       = f46  
-// Shared with abs_W  
-FR_AA      = f47 
-FR_log2_hi = f47  
-// Shared with AA  
-FR_BB          = f48
-FR_log2_lo     = f48  
-// Shared with BB  
-FR_S_lo        = f49 
-FR_two_negN    = f50  
-FR_float_N     = f51 
-FR_Q4          = f52 
-FR_dummy       = f52  
-// Shared with Q4
-FR_P4          = f52  
-// Shared with Q4
-FR_Threshold    = f52
-// Shared with Q4
-FR_Q3          = f53  
-FR_P3          = f53  
-// Shared with Q3
-FR_Tiny        = f53  
-// Shared with Q3
-FR_Q2          = f54 
-FR_P2          = f54  
-// Shared with Q2
-FR_1LN10_hi     = f54 
-// Shared with Q2
-FR_Q1           = f55 
-FR_P1           = f55 
-// Shared with Q1 
-FR_1LN10_lo     = f55 
-// Shared with Q1 
-FR_P5           = f98 
-FR_SCALE        = f98 
-FR_Output_X_tmp = f99 
+FR_A4                  = f33
+FR_A3                  = f34
+FR_A2                  = f35
 
-GR_Expo_Range   = r32
-GR_Table_Base   = r34
-GR_Table_Base1  = r35
-GR_Table_ptr    = r36 
-GR_Index2       = r37 
-GR_signif       = r38 
-GR_X_0          = r39 
-GR_X_1          = r40 
-GR_X_2          = r41 
-GR_Z_1          = r42 
-GR_Z_2          = r43 
-GR_N            = r44 
-GR_Bias         = r45 
-GR_M            = r46 
-GR_ScaleN       = r47  
-GR_Index3       = r48 
-GR_Perturb      = r49 
-GR_Table_Scale  = r50 
+FR_T                   = f36
+FR_NxLn2pT             = f36
 
 
-GR_SAVE_PFS     = r51
-GR_SAVE_B0      = r52
-GR_SAVE_GP      = r53
 
-GR_Parameter_X       = r54
-GR_Parameter_Y       = r55
-GR_Parameter_RESULT  = r56
+FR_Y                   = f1
+FR_X                   = f10
+FR_RESULT              = f8
 
-GR_Parameter_TAG = r57 
 
+// Data
+//==============================================================
+RODATA
+.align 16
+
+LOCAL_OBJECT_START(log_data)
+// ln(1/frcpa(1+i/256)), i=0...255
+data8 0x3F60040155D5889E // 0
+data8 0x3F78121214586B54 // 1
+data8 0x3F841929F96832F0 // 2
+data8 0x3F8C317384C75F06 // 3
+data8 0x3F91A6B91AC73386 // 4
+data8 0x3F95BA9A5D9AC039 // 5
+data8 0x3F99D2A8074325F4 // 6
+data8 0x3F9D6B2725979802 // 7
+data8 0x3FA0C58FA19DFAAA // 8
+data8 0x3FA2954C78CBCE1B // 9
+data8 0x3FA4A94D2DA96C56 // 10
+data8 0x3FA67C94F2D4BB58 // 11
+data8 0x3FA85188B630F068 // 12
+data8 0x3FAA6B8ABE73AF4C // 13
+data8 0x3FAC441E06F72A9E // 14
+data8 0x3FAE1E6713606D07 // 15
+data8 0x3FAFFA6911AB9301 // 16
+data8 0x3FB0EC139C5DA601 // 17
+data8 0x3FB1DBD2643D190B // 18
+data8 0x3FB2CC7284FE5F1C // 19
+data8 0x3FB3BDF5A7D1EE64 // 20
+data8 0x3FB4B05D7AA012E0 // 21
+data8 0x3FB580DB7CEB5702 // 22
+data8 0x3FB674F089365A7A // 23
+data8 0x3FB769EF2C6B568D // 24
+data8 0x3FB85FD927506A48 // 25
+data8 0x3FB9335E5D594989 // 26
+data8 0x3FBA2B0220C8E5F5 // 27
+data8 0x3FBB0004AC1A86AC // 28
+data8 0x3FBBF968769FCA11 // 29
+data8 0x3FBCCFEDBFEE13A8 // 30
+data8 0x3FBDA727638446A2 // 31
+data8 0x3FBEA3257FE10F7A // 32
+data8 0x3FBF7BE9FEDBFDE6 // 33
+data8 0x3FC02AB352FF25F4 // 34
+data8 0x3FC097CE579D204D // 35
+data8 0x3FC1178E8227E47C // 36
+data8 0x3FC185747DBECF34 // 37
+data8 0x3FC1F3B925F25D41 // 38
+data8 0x3FC2625D1E6DDF57 // 39
+data8 0x3FC2D1610C86813A // 40
+data8 0x3FC340C59741142E // 41
+data8 0x3FC3B08B6757F2A9 // 42
+data8 0x3FC40DFB08378003 // 43
+data8 0x3FC47E74E8CA5F7C // 44
+data8 0x3FC4EF51F6466DE4 // 45
+data8 0x3FC56092E02BA516 // 46
+data8 0x3FC5D23857CD74D5 // 47
+data8 0x3FC6313A37335D76 // 48
+data8 0x3FC6A399DABBD383 // 49
+data8 0x3FC70337DD3CE41B // 50
+data8 0x3FC77654128F6127 // 51
+data8 0x3FC7E9D82A0B022D // 52
+data8 0x3FC84A6B759F512F // 53
+data8 0x3FC8AB47D5F5A310 // 54
+data8 0x3FC91FE49096581B // 55
+data8 0x3FC981634011AA75 // 56
+data8 0x3FC9F6C407089664 // 57
+data8 0x3FCA58E729348F43 // 58
+data8 0x3FCABB55C31693AD // 59
+data8 0x3FCB1E104919EFD0 // 60
+data8 0x3FCB94EE93E367CB // 61
+data8 0x3FCBF851C067555F // 62
+data8 0x3FCC5C0254BF23A6 // 63
+data8 0x3FCCC000C9DB3C52 // 64
+data8 0x3FCD244D99C85674 // 65
+data8 0x3FCD88E93FB2F450 // 66
+data8 0x3FCDEDD437EAEF01 // 67
+data8 0x3FCE530EFFE71012 // 68
+data8 0x3FCEB89A1648B971 // 69
+data8 0x3FCF1E75FADF9BDE // 70
+data8 0x3FCF84A32EAD7C35 // 71
+data8 0x3FCFEB2233EA07CD // 72
+data8 0x3FD028F9C7035C1C // 73
+data8 0x3FD05C8BE0D9635A // 74
+data8 0x3FD085EB8F8AE797 // 75
+data8 0x3FD0B9C8E32D1911 // 76
+data8 0x3FD0EDD060B78081 // 77
+data8 0x3FD122024CF0063F // 78
+data8 0x3FD14BE2927AECD4 // 79
+data8 0x3FD180618EF18ADF // 80
+data8 0x3FD1B50BBE2FC63B // 81
+data8 0x3FD1DF4CC7CF242D // 82
+data8 0x3FD214456D0EB8D4 // 83
+data8 0x3FD23EC5991EBA49 // 84
+data8 0x3FD2740D9F870AFB // 85
+data8 0x3FD29ECDABCDFA04 // 86
+data8 0x3FD2D46602ADCCEE // 87
+data8 0x3FD2FF66B04EA9D4 // 88
+data8 0x3FD335504B355A37 // 89
+data8 0x3FD360925EC44F5D // 90
+data8 0x3FD38BF1C3337E75 // 91
+data8 0x3FD3C25277333184 // 92
+data8 0x3FD3EDF463C1683E // 93
+data8 0x3FD419B423D5E8C7 // 94
+data8 0x3FD44591E0539F49 // 95
+data8 0x3FD47C9175B6F0AD // 96
+data8 0x3FD4A8B341552B09 // 97
+data8 0x3FD4D4F3908901A0 // 98
+data8 0x3FD501528DA1F968 // 99
+data8 0x3FD52DD06347D4F6 // 100
+data8 0x3FD55A6D3C7B8A8A // 101
+data8 0x3FD5925D2B112A59 // 102
+data8 0x3FD5BF406B543DB2 // 103
+data8 0x3FD5EC433D5C35AE // 104
+data8 0x3FD61965CDB02C1F // 105
+data8 0x3FD646A84935B2A2 // 106
+data8 0x3FD6740ADD31DE94 // 107
+data8 0x3FD6A18DB74A58C5 // 108
+data8 0x3FD6CF31058670EC // 109
+data8 0x3FD6F180E852F0BA // 110
+data8 0x3FD71F5D71B894F0 // 111
+data8 0x3FD74D5AEFD66D5C // 112
+data8 0x3FD77B79922BD37E // 113
+data8 0x3FD7A9B9889F19E2 // 114
+data8 0x3FD7D81B037EB6A6 // 115
+data8 0x3FD8069E33827231 // 116
+data8 0x3FD82996D3EF8BCB // 117
+data8 0x3FD85855776DCBFB // 118
+data8 0x3FD8873658327CCF // 119
+data8 0x3FD8AA75973AB8CF // 120
+data8 0x3FD8D992DC8824E5 // 121
+data8 0x3FD908D2EA7D9512 // 122
+data8 0x3FD92C59E79C0E56 // 123
+data8 0x3FD95BD750EE3ED3 // 124
+data8 0x3FD98B7811A3EE5B // 125
+data8 0x3FD9AF47F33D406C // 126
+data8 0x3FD9DF270C1914A8 // 127
+data8 0x3FDA0325ED14FDA4 // 128
+data8 0x3FDA33440224FA79 // 129
+data8 0x3FDA57725E80C383 // 130
+data8 0x3FDA87D0165DD199 // 131
+data8 0x3FDAAC2E6C03F896 // 132
+data8 0x3FDADCCC6FDF6A81 // 133
+data8 0x3FDB015B3EB1E790 // 134
+data8 0x3FDB323A3A635948 // 135
+data8 0x3FDB56FA04462909 // 136
+data8 0x3FDB881AA659BC93 // 137
+data8 0x3FDBAD0BEF3DB165 // 138
+data8 0x3FDBD21297781C2F // 139
+data8 0x3FDC039236F08819 // 140
+data8 0x3FDC28CB1E4D32FD // 141
+data8 0x3FDC4E19B84723C2 // 142
+data8 0x3FDC7FF9C74554C9 // 143
+data8 0x3FDCA57B64E9DB05 // 144
+data8 0x3FDCCB130A5CEBB0 // 145
+data8 0x3FDCF0C0D18F326F // 146
+data8 0x3FDD232075B5A201 // 147
+data8 0x3FDD490246DEFA6B // 148
+data8 0x3FDD6EFA918D25CD // 149
+data8 0x3FDD9509707AE52F // 150
+data8 0x3FDDBB2EFE92C554 // 151
+data8 0x3FDDEE2F3445E4AF // 152
+data8 0x3FDE148A1A2726CE // 153
+data8 0x3FDE3AFC0A49FF40 // 154
+data8 0x3FDE6185206D516E // 155
+data8 0x3FDE882578823D52 // 156
+data8 0x3FDEAEDD2EAC990C // 157
+data8 0x3FDED5AC5F436BE3 // 158
+data8 0x3FDEFC9326D16AB9 // 159
+data8 0x3FDF2391A2157600 // 160
+data8 0x3FDF4AA7EE03192D // 161
+data8 0x3FDF71D627C30BB0 // 162
+data8 0x3FDF991C6CB3B379 // 163
+data8 0x3FDFC07ADA69A910 // 164
+data8 0x3FDFE7F18EB03D3E // 165
+data8 0x3FE007C053C5002E // 166
+data8 0x3FE01B942198A5A1 // 167
+data8 0x3FE02F74400C64EB // 168
+data8 0x3FE04360BE7603AD // 169
+data8 0x3FE05759AC47FE34 // 170
+data8 0x3FE06B5F1911CF52 // 171
+data8 0x3FE078BF0533C568 // 172
+data8 0x3FE08CD9687E7B0E // 173
+data8 0x3FE0A10074CF9019 // 174
+data8 0x3FE0B5343A234477 // 175
+data8 0x3FE0C974C89431CE // 176
+data8 0x3FE0DDC2305B9886 // 177
+data8 0x3FE0EB524BAFC918 // 178
+data8 0x3FE0FFB54213A476 // 179
+data8 0x3FE114253DA97D9F // 180
+data8 0x3FE128A24F1D9AFF // 181
+data8 0x3FE1365252BF0865 // 182
+data8 0x3FE14AE558B4A92D // 183
+data8 0x3FE15F85A19C765B // 184
+data8 0x3FE16D4D38C119FA // 185
+data8 0x3FE18203C20DD133 // 186
+data8 0x3FE196C7BC4B1F3B // 187
+data8 0x3FE1A4A738B7A33C // 188
+data8 0x3FE1B981C0C9653D // 189
+data8 0x3FE1CE69E8BB106B // 190
+data8 0x3FE1DC619DE06944 // 191
+data8 0x3FE1F160A2AD0DA4 // 192
+data8 0x3FE2066D7740737E // 193
+data8 0x3FE2147DBA47A394 // 194
+data8 0x3FE229A1BC5EBAC3 // 195
+data8 0x3FE237C1841A502E // 196
+data8 0x3FE24CFCE6F80D9A // 197
+data8 0x3FE25B2C55CD5762 // 198
+data8 0x3FE2707F4D5F7C41 // 199
+data8 0x3FE285E0842CA384 // 200
+data8 0x3FE294294708B773 // 201
+data8 0x3FE2A9A2670AFF0C // 202
+data8 0x3FE2B7FB2C8D1CC1 // 203
+data8 0x3FE2C65A6395F5F5 // 204
+data8 0x3FE2DBF557B0DF43 // 205
+data8 0x3FE2EA64C3F97655 // 206
+data8 0x3FE3001823684D73 // 207
+data8 0x3FE30E97E9A8B5CD // 208
+data8 0x3FE32463EBDD34EA // 209
+data8 0x3FE332F4314AD796 // 210
+data8 0x3FE348D90E7464D0 // 211
+data8 0x3FE35779F8C43D6E // 212
+data8 0x3FE36621961A6A99 // 213
+data8 0x3FE37C299F3C366A // 214
+data8 0x3FE38AE2171976E7 // 215
+data8 0x3FE399A157A603E7 // 216
+data8 0x3FE3AFCCFE77B9D1 // 217
+data8 0x3FE3BE9D503533B5 // 218
+data8 0x3FE3CD7480B4A8A3 // 219
+data8 0x3FE3E3C43918F76C // 220
+data8 0x3FE3F2ACB27ED6C7 // 221
+data8 0x3FE4019C2125CA93 // 222
+data8 0x3FE4181061389722 // 223
+data8 0x3FE42711518DF545 // 224
+data8 0x3FE436194E12B6BF // 225
+data8 0x3FE445285D68EA69 // 226
+data8 0x3FE45BCC464C893A // 227
+data8 0x3FE46AED21F117FC // 228
+data8 0x3FE47A1527E8A2D3 // 229
+data8 0x3FE489445EFFFCCC // 230
+data8 0x3FE4A018BCB69835 // 231
+data8 0x3FE4AF5A0C9D65D7 // 232
+data8 0x3FE4BEA2A5BDBE87 // 233
+data8 0x3FE4CDF28F10AC46 // 234
+data8 0x3FE4DD49CF994058 // 235
+data8 0x3FE4ECA86E64A684 // 236
+data8 0x3FE503C43CD8EB68 // 237
+data8 0x3FE513356667FC57 // 238
+data8 0x3FE522AE0738A3D8 // 239
+data8 0x3FE5322E26867857 // 240
+data8 0x3FE541B5CB979809 // 241
+data8 0x3FE55144FDBCBD62 // 242
+data8 0x3FE560DBC45153C7 // 243
+data8 0x3FE5707A26BB8C66 // 244
+data8 0x3FE587F60ED5B900 // 245
+data8 0x3FE597A7977C8F31 // 246
+data8 0x3FE5A760D634BB8B // 247
+data8 0x3FE5B721D295F10F // 248
+data8 0x3FE5C6EA94431EF9 // 249
+data8 0x3FE5D6BB22EA86F6 // 250
+data8 0x3FE5E6938645D390 // 251
+data8 0x3FE5F673C61A2ED2 // 252
+data8 0x3FE6065BEA385926 // 253
+data8 0x3FE6164BFA7CC06B // 254
+data8 0x3FE62643FECF9743 // 255
+LOCAL_OBJECT_END(log_data)
+
+
+// Code
+//==============================================================
 
 .section .text
-.proc log1pf#
-.global log1pf#
-.align 64 
-log1pf:
-#ifdef _LIBC
-.global __log1pf
-__log1pf:
-#endif
-
-{ .mfi
-alloc r32 = ar.pfs,0,22,4,0
-(p0)  fsub.s1 FR_Neg_One = f0,f1 
-(p0)  cmp.eq.unc  p7, p0 = r0, r0 
-}
-
+GLOBAL_IEEE754_ENTRY(log1pf)
 { .mfi
-(p0)  cmp.ne.unc  p14, p0 = r0, r0 
-(p0)  fnorm.s1 FR_X_Prime = FR_Input_X 
-(p0)  cmp.eq.unc  p15, p0 = r0, r0 ;; 
+      getf.exp      GR_signexp_x = f8 // if x is unorm then must recompute
+      fadd.s1       FR_Xp1 = f8, f1       // Form 1+x
+      mov           GR_05 = 0xfffe
 }
-
-{ .mfi
-      nop.m 999
-(p0)  fclass.m.unc p6, p0 =  FR_Input_X, 0x1E3 
-      nop.i 999
+{ .mlx
+      addl          GR_ad_T = @ltoff(log_data),gp
+      movl          GR_A3 = 0x3fd5555555555555 // double precision memory
+                                               // representation of A3
 }
 ;;
 
 { .mfi
-	nop.m 999
-(p0)  fclass.nm.unc p10, p0 =  FR_Input_X, 0x1FF 
-      nop.i 999
+      ld8           GR_ad_T = [GR_ad_T]
+      fclass.m      p8,p0 = f8,0xb // Is x unorm?
+      mov           GR_exp_mask = 0x1ffff
 }
-;;
-
 { .mfi
-	nop.m 999
-(p0)  fcmp.eq.unc.s1 p9, p0 =  FR_Input_X, f0 
-      nop.i 999
+      mov           GR_025 = 0xfffd            // Exponent of 0.25
+      fnorm.s1      FR_NormX = f8              // Normalize x
+      mov           GR_exp_bias = 0xffff
 }
+;;
 
 { .mfi
-	nop.m 999
-(p0)  fadd FR_Em1 = f0,f0 
-	nop.i 999 ;;
+      setf.exp      FR_A2 = GR_05 // create A2 = 0.5
+      fclass.m      p9,p0 = f8,0x1E1 // is x NaN, NaT or +Inf?
+      nop.i         0
 }
-
-{ .mfi
-	nop.m 999
-(p0)  fadd FR_E = f0,f1 
-	nop.i 999 ;;
+{ .mib
+      setf.d        FR_A3 = GR_A3 // create A3
+      nop.i         0
+(p8)  br.cond.spnt  log1p_unorm          // Branch if x=unorm
 }
+;;
 
+log1p_common:
 { .mfi
-	nop.m 999
-(p0)  fcmp.eq.unc.s1 p8, p0 =  FR_Input_X, FR_Neg_One 
-	nop.i 999
+      setf.exp      FR_A4 = GR_025 // create A4 = 0.25
+      frcpa.s1      FR_RcpX,p0 = f1,FR_Xp1
+      nop.i         0
 }
-
-{ .mfi
-	nop.m 999
-(p0)  fcmp.lt.unc.s1 p13, p0 =  FR_Input_X, FR_Neg_One 
-	nop.i 999
+{ .mfb
+      nop.m         0
+(p9)  fma.s.s0      f8 = f8,f1,f0 // set V-flag
+(p9)  br.ret.spnt   b0 // exit for NaN, NaT and +Inf
 }
-
-
-L(LOG_BEGIN): 
+;;
 
 { .mfi
-	nop.m 999
-(p0)  fadd.s1 FR_Z = FR_X_Prime, FR_E 
-	nop.i 999
+      getf.exp      GR_Exp = FR_Xp1            // signexp of x+1
+      fclass.m      p10,p0 = FR_Xp1,0x3A // is 1+x < 0?
+      and           GR_exp_x = GR_exp_mask, GR_signexp_x // biased exponent of x
 }
-
 { .mlx
-	nop.m 999
-(p0)  movl GR_Table_Scale = 0x0000000000000018 ;; 
-}
-
-{ .mmi
-	nop.m 999
-//     
-//    Create E = 1 and Em1 = 0 
-//    Check for X == 0, meaning log(1+0)
-//    Check for X < -1, meaning log(negative)
-//    Check for X == -1, meaning log(0)
-//    Normalize x 
-//    Identify NatVals, NaNs, Infs. 
-//    Identify EM unsupporteds. 
-//    Identify Negative values - us S1 so as
-//    not to raise denormal operand exception 
-//    Set p15 to true for log1pf
-//    Set p14 to false for log1pf
-//    Set p7 true for log and log1pf
-//    
-(p0)  addl GR_Table_Base = @ltoff(Constants_Z_G_H_h1#),gp
-      nop.i  999
+      nop.m         0
+      movl          GR_Ln2 = 0x3FE62E42FEFA39EF // double precision memory
+                                                // representation of log(2)
 }
+;;
 
 { .mfi
-	nop.m 999
-(p0)  fmax.s1 FR_AA = FR_X_Prime, FR_E 
-	nop.i 999 ;;
+      getf.sig      GR_Sig = FR_Xp1 // get significand to calculate index
+                                    // for T if |x| >= 2^-8
+      fcmp.eq.s1    p12,p0 = f8,f0     // is x equal to 0?
+      sub           GR_exp_x = GR_exp_x, GR_exp_bias // true exponent of x
 }
+;;
 
 { .mfi
-      ld8    GR_Table_Base = [GR_Table_Base]
-(p0)  fmin.s1 FR_BB = FR_X_Prime, FR_E 
-	nop.i 999
+      sub           GR_N = GR_Exp,GR_exp_bias // true exponent of x+1
+      fcmp.eq.s1    p11,p0 = FR_Xp1,f0     // is x = -1?
+      cmp.gt        p6,p7 = -8, GR_exp_x  // Is |x| < 2^-8
 }
-
 { .mfb
-	nop.m 999
-(p0)  fadd.s1 FR_W = FR_X_Prime, FR_Em1 
-//     
-//    Begin load of constants base
-//    FR_Z = Z = |x| + E 
-//    FR_W = W = |x| + Em1
-//    AA = fmax(|x|,E)
-//    BB = fmin(|x|,E)
-//
-(p6)  br.cond.spnt L(LOG_64_special) ;; 
-}
-
-{ .mib
-	nop.m 999
-	nop.i 999
-(p10) br.cond.spnt L(LOG_64_unsupported) ;; 
-}
-
-{ .mib
-	nop.m 999
-	nop.i 999
-(p13) br.cond.spnt L(LOG_64_negative) ;; 
-}
-
-{ .mib
-(p0)  getf.sig GR_signif = FR_Z 
-	nop.i 999
-(p9)  br.cond.spnt L(LOG_64_one) ;; 
-}
-
-{ .mib
-	nop.m 999
-	nop.i 999
-(p8)  br.cond.spnt L(LOG_64_zero) ;; 
-}
-
-{ .mfi
-(p0)  getf.exp GR_N =  FR_Z 
-//   
-//    Raise possible denormal operand exception 
-//    Create Bias
-// 
-//    This function computes ln( x + e ) 
-//    Input  FR 1: FR_X   = FR_Input_X          
-//    Input  FR 2: FR_E   = FR_E
-//    Input  FR 3: FR_Em1 = FR_Em1 
-//    Input  GR 1: GR_Expo_Range = GR_Expo_Range = 1
-//    Output FR 4: FR_Y_hi  
-//    Output FR 5: FR_Y_lo  
-//    Output FR 6: FR_Scale  
-//    Output PR 7: PR_Safe  
-//
-(p0)  fsub.s1 FR_S_lo = FR_AA, FR_Z 
-//
-//    signif = getf.sig(Z)
-//    abs_W = fabs(w)
-//
-(p0)  extr.u GR_Table_ptr = GR_signif, 59, 4 ;; 
-}
-
-{ .mfi
-	nop.m 999
-(p0)  fmerge.se FR_S_hi =  f1,FR_Z 
-(p0)  extr.u GR_X_0 = GR_signif, 49, 15  
-}
-
-{ .mmi
-      nop.m 999
-(p0)  addl GR_Table_Base1 = @ltoff(Constants_Z_G_H_h2#),gp  
-      nop.i 999
+      nop.m         0
+      nop.f         0
+(p10) br.cond.spnt  log1p_lt_minus_1   // jump if x < -1
 }
 ;;
 
-{ .mlx
-      ld8    GR_Table_Base1 = [GR_Table_Base1]
-(p0)  movl GR_Bias = 0x000000000000FFFF ;; 
-}
-
-{ .mfi
-	nop.m 999
-(p0)  fabs FR_abs_W =  FR_W 
-(p0)  pmpyshr2.u GR_Table_ptr = GR_Table_ptr,GR_Table_Scale,0 
-}
-
-{ .mfi
-	nop.m 999
-//    
-//    Branch out for special input values 
-//    
-(p0)  fcmp.lt.unc.s0 p8, p0 =  FR_Input_X, f0 
-	nop.i 999 ;;
-}
-
-{ .mfi
-	nop.m 999
-//
-//    X_0 = extr.u(signif,49,15)
-//    Index1 = extr.u(signif,59,4)
-//
-(p0)  fadd.s1 FR_S_lo = FR_S_lo, FR_BB 
-	nop.i 999 ;;
-}
-
-{ .mii
-	nop.m 999
-	nop.i 999 ;;
-//
-//    Offset_to_Z1 = 24 * Index1
-//    For performance, don't use result
-//    for 3 or 4 cycles.
-//
-(p0)  add GR_Table_ptr = GR_Table_ptr, GR_Table_Base ;; 
-}
-//
-//    Add Base to Offset for Z1
-//    Create Bias
-
-{ .mmi
-(p0)  ld4 GR_Z_1 = [GR_Table_ptr],4 ;; 
-(p0)  ldfs  FR_G = [GR_Table_ptr],4 
-	nop.i 999 ;;
-}
-
-{ .mmi
-(p0)  ldfs  FR_H = [GR_Table_ptr],8 ;; 
-(p0)  ldfd  FR_h = [GR_Table_ptr],0 
-(p0)  pmpyshr2.u GR_X_1 = GR_X_0,GR_Z_1,15 
-}
-//
-//    Load Z_1 
-//    Get Base of Table2 
-//
-
+// p6 is true if |x| < 1/256
+// p7 is true if |x| >= 1/256
+.pred.rel "mutex",p6,p7
 { .mfi
-(p0)  getf.exp GR_M = FR_abs_W 
-	nop.f 999
-	nop.i 999 ;;
-}
-
-{ .mii
-	nop.m 999
-	nop.i 999 ;;
-//
-//    M = getf.exp(abs_W)
-//    S_lo = AA - Z
-//    X_1 = pmpyshr2(X_0,Z_1,15)
-//
-(p0)  sub GR_M = GR_M, GR_Bias ;; 
+      nop.m         0
+(p6)  fms.s1        FR_r = f8,f1,f0 // range reduction for |x|<1/256
+(p6)  cmp.gt.unc    p10,p0 = -40, GR_exp_x  // Is |x| < 2^-40
 }
-//     
-//    M = M - Bias
-//    Load G1
-//    N = getf.exp(Z)
-//
-
-{ .mii
-(p0)  cmp.gt.unc  p11, p0 =  -80, GR_M 
-(p0)  cmp.gt.unc  p12, p0 =  -7, GR_M ;; 
-(p0)  extr.u GR_Index2 = GR_X_1, 6, 4 ;; 
-}
-
-{ .mib
-	nop.m 999
-//
-//    if -80 > M, set p11
-//    Index2 = extr.u(X_1,6,4)
-//    if -7  > M, set p12
-//    Load H1
-//
-(p0)  pmpyshr2.u GR_Index2 = GR_Index2,GR_Table_Scale,0 
-(p11) br.cond.spnt L(log1pf_small) ;; 
+{ .mfb
+(p7)  setf.sig      FR_N = GR_N // copy unbiased exponent of x to the
+                                // significand field of FR_N
+(p7)  fms.s1        FR_r = FR_RcpX,FR_Xp1,f1 // range reduction for |x|>=1/256
+(p12) br.ret.spnt   b0 // exit for x=0, return x
 }
+;;
 
 { .mib
-      nop.m 999
-	nop.i 999
-(p12) br.cond.spnt L(log1pf_near) ;; 
-}
-
-{ .mii
-(p0)  sub GR_N = GR_N, GR_Bias 
-//
-//    poly_lo = r * poly_lo 
-//
-(p0)  add GR_Perturb = 0x1, r0 ;; 
-(p0)  sub GR_ScaleN = GR_Bias, GR_N  
-}
-
-{ .mii
-(p0)  setf.sig FR_float_N = GR_N 
-	nop.i 999 ;;
-//
-//    Prepare Index2 - pmpyshr2.u(X_1,Z_2,15)
-//    Load h1
-//    S_lo = S_lo + BB 
-//    Branch for -80 > M
-//   
-(p0)  add GR_Index2 = GR_Index2, GR_Table_Base1
-}
-
-{ .mmi
-(p0)  setf.exp FR_two_negN = GR_ScaleN 
-      nop.m 999
-(p0)  addl GR_Table_Base = @ltoff(Constants_Z_G_H_h3#),gp  
-};;
-
-//
-//    Index2 points to Z2
-//    Branch for -7 > M
-//
-
-{ .mmb
-(p0)  ld4 GR_Z_2 = [GR_Index2],4 
-      ld8 GR_Table_Base = [GR_Table_Base]
-      nop.b 999 ;;
-}
-(p0)  nop.i 999
-//
-//    Load Z_2
-//    N = N - Bias
-//    Tablebase points to Table3
-//
-
-{ .mmi
-(p0)  ldfs  FR_G_tmp = [GR_Index2],4 ;; 
-//
-//    Load G_2
-//    pmpyshr2  X_2= (X_1,Z_2,15)
-//    float_N = setf.sig(N)
-//    ScaleN = Bias - N
-//
-(p0)  ldfs  FR_H_tmp = [GR_Index2],8 
-	nop.i 999 ;;
-}
-//
-//    Load H_2
-//    two_negN = setf.exp(scaleN)
-//    G = G_1 * G_2
-//
-
-{ .mfi
-(p0)  ldfd  FR_h_tmp = [GR_Index2],0 
-	nop.f 999
-(p0)  pmpyshr2.u GR_X_2 = GR_X_1,GR_Z_2,15 ;; 
-}
-
-{ .mii
-	nop.m 999
-(p0)  extr.u GR_Index3 = GR_X_2, 1, 5 ;; 
-//
-//    Load h_2
-//    H = H_1 + H_2 
-//    h = h_1 + h_2 
-//    Index3 = extr.u(X_2,1,5)
-//
-(p0)  shladd GR_Index3 = GR_Index3,4,GR_Table_Base 
-}
-
-{ .mmi
-	nop.m 999
-	nop.m 999
-//
-//    float_N = fcvt.xf(float_N)
-//    load G3
-//
-(p0)  addl GR_Table_Base = @ltoff(Constants_Q#),gp ;; 
-}
-
-{ .mfi
-ld8    GR_Table_Base = [GR_Table_Base]
-nop.f 999
-nop.i 999
-} ;;
-
-{ .mfi
-(p0)  ldfe FR_log2_hi = [GR_Table_Base],16 
-(p0)  fmpy.s1 FR_S_lo = FR_S_lo, FR_two_negN 
-	nop.i 999 ;;
-}
-
-{ .mmf
-	nop.m 999
-//
-//    G = G3 * G
-//    Load h3
-//    Load log2_hi
-//    H = H + H3
-//
-(p0)  ldfe FR_log2_lo = [GR_Table_Base],16 
-(p0)  fmpy.s1 FR_G = FR_G, FR_G_tmp ;; 
-}
-
-{ .mmf
-(p0)  ldfs  FR_G_tmp = [GR_Index3],4 
-//
-//    h = h + h3
-//    r = G * S_hi + 1 
-//    Load log2_lo
-//
-(p0)  ldfe FR_Q4 = [GR_Table_Base],16 
-(p0)  fadd.s1 FR_h = FR_h, FR_h_tmp ;; 
-}
-
-{ .mfi
-(p0)  ldfe FR_Q3 = [GR_Table_Base],16 
-(p0)  fadd.s1 FR_H = FR_H, FR_H_tmp 
-	nop.i 999 ;;
-}
-
-{ .mmf
-(p0)  ldfs  FR_H_tmp = [GR_Index3],4 
-(p0)  ldfe FR_Q2 = [GR_Table_Base],16 
-//
-//    Comput Index for Table3
-//    S_lo = S_lo * two_negN
-//
-(p0)  fcvt.xf FR_float_N = FR_float_N ;; 
+      setf.d        FR_Ln2 = GR_Ln2 // create log(2)
+(p7)  extr.u        GR_Ind = GR_Sig,55,8 // get bits from 55 to 62 as index
+(p11) br.cond.spnt  log1p_eq_minus_1 // jump if x = -1
 }
-//
-//    If S_lo == 0, set p8 false
-//    Load H3
-//    Load ptr to table of polynomial coeff.
-//
+;;
 
 { .mmf
-(p0)  ldfd  FR_h_tmp = [GR_Index3],0 
-(p0)  ldfe FR_Q1 = [GR_Table_Base],0 
-(p0)  fcmp.eq.unc.s1 p0, p8 =  FR_S_lo, f0 ;; 
-}
-
-{ .mfi
-	nop.m 999
-(p0)  fmpy.s1 FR_G = FR_G, FR_G_tmp 
-	nop.i 999 ;;
-}
-
-{ .mfi
-	nop.m 999
-(p0)  fadd.s1 FR_H = FR_H, FR_H_tmp 
-	nop.i 999 ;;
-}
-
-{ .mfi
-	nop.m 999
-(p0)  fms.s1 FR_r = FR_G, FR_S_hi, f1 
-	nop.i 999
-}
-
-{ .mfi
-	nop.m 999
-(p0)  fadd.s1 FR_h = FR_h, FR_h_tmp 
-	nop.i 999 ;;
-}
-
-{ .mfi
-	nop.m 999
-(p0)  fma.s1 FR_Y_hi = FR_float_N, FR_log2_hi, FR_H 
-	nop.i 999 ;;
-}
-
-{ .mfi
-	nop.m 999
-//
-//    Load Q4 
-//    Load Q3 
-//    Load Q2 
-//    Load Q1 
-//
-(p8) fma.s1 FR_r = FR_G, FR_S_lo, FR_r 
-	nop.i 999
-}
-
-{ .mfi
-	nop.m 999
-//
-//    poly_lo = r * Q4 + Q3
-//    rsq = r* r
-//
-(p0)  fma.s1 FR_h = FR_float_N, FR_log2_lo, FR_h 
-	nop.i 999 ;;
-}
-
-{ .mfi
-	nop.m 999
-//
-//    If (S_lo!=0) r = s_lo * G + r
-//
-(p0)  fma.s1 FR_poly_lo = FR_r, FR_Q4, FR_Q3 
-	nop.i 999
-}
-//
-//    Create a 0x00000....01
-//    poly_lo = poly_lo * rsq + h
-//
-
-{ .mfi
-(p0)  setf.sig FR_dummy = GR_Perturb 
-(p0)  fmpy.s1 FR_rsq = FR_r, FR_r 
-	nop.i 999 ;;
-}
-
-{ .mfi
-	nop.m 999
-//
-//    h = N * log2_lo + h 
-//    Y_hi = n * log2_hi + H 
-//
-(p0)  fma.s1 FR_poly_lo = FR_poly_lo, FR_r, FR_Q2 
-	nop.i 999
-}
-
-{ .mfi
-	nop.m 999
-(p0)  fma.s1 FR_poly_hi = FR_Q1, FR_rsq, FR_r 
-	nop.i 999 ;;
-}
-
-{ .mfi
-	nop.m 999
-//
-//    poly_lo = r * poly_o + Q2 
-//    poly_hi = Q1 * rsq + r 
-//
-(p0)  fmpy.s1 FR_poly_lo = FR_poly_lo, FR_r 
-	nop.i 999 ;;
-}
-
-{ .mfi
-	nop.m 999
-(p0)  fma.s1 FR_poly_lo = FR_poly_lo, FR_rsq, FR_h 
-	nop.i 999 ;;
-}
-
-{ .mfb
-	nop.m 999
-(p0)  fadd.s1 FR_Y_lo = FR_poly_hi, FR_poly_lo 
-//
-//    Create the FR for a binary "or"
-//    Y_lo = poly_hi + poly_lo
-//
-// (p0)  for FR_dummy = FR_Y_lo,FR_dummy ;;
-//
-//    Turn the lsb of Y_lo ON
-//
-// (p0)  fmerge.se FR_Y_lo =  FR_Y_lo,FR_dummy ;;
-//
-//    Merge the new lsb into Y_lo, for alone doesn't
-//
-(p0)  br.cond.sptk L(LOG_main) ;; 
-}
-
-
-L(log1pf_near): 
-
-{ .mmi
-	nop.m 999
-	nop.m 999
-//    /*******************************************************/
-//    /*********** Branch log1pf_near  ************************/
-//    /*******************************************************/
-(p0)  addl GR_Table_Base = @ltoff(Constants_P#),gp ;; 
-}
-//
-//    Load base address of poly. coeff.
-//
-{.mmi
-      nop.m 999
-      ld8    GR_Table_Base = [GR_Table_Base]
-      nop.i 999
-};;
-
-{ .mmb
-(p0)  add GR_Table_ptr = 0x40,GR_Table_Base  
-//
-//    Address tables with separate pointers 
-//
-(p0)  ldfe FR_P8 = [GR_Table_Base],16 
-	nop.b 999 ;;
+(p7)  shladd        GR_ad_T = GR_Ind,3,GR_ad_T // address of T
+      nop.m         0
+(p10) fnma.s.s0     f8 = f8,f8,f8   // If |x| very small, result=x-x*x
 }
+;;
 
 { .mmb
-(p0)  ldfe FR_P4 = [GR_Table_ptr],16 
-//
-//    Load P4
-//    Load P8
-//
-(p0)  ldfe FR_P7 = [GR_Table_Base],16 
-	nop.b 999 ;;
-}
-
-{ .mmf
-(p0)  ldfe FR_P3 = [GR_Table_ptr],16 
-//
-//    Load P3
-//    Load P7
-//
-(p0)  ldfe FR_P6 = [GR_Table_Base],16 
-(p0)  fmpy.s1 FR_wsq = FR_W, FR_W ;; 
-}
-
-{ .mfi
-(p0)  ldfe FR_P2 = [GR_Table_ptr],16 
-	nop.f 999
-	nop.i 999 ;;
-}
-
-{ .mfi
-	nop.m 999
-(p0)  fma.s1 FR_Y_hi = FR_W, FR_P4, FR_P3 
-	nop.i 999
-}
-//
-//    Load P2
-//    Load P6
-//    Wsq = w * w
-//    Y_hi = p4 * w + p3
-//
-
-{ .mfi
-(p0)  ldfe FR_P5 = [GR_Table_Base],16 
-(p0)  fma.s1 FR_Y_lo = FR_W, FR_P8, FR_P7 
-	nop.i 999 ;;
-}
-
-{ .mfi
-(p0)  ldfe FR_P1 = [GR_Table_ptr],16 
-//
-//    Load P1
-//    Load P5
-//    Y_lo = p8 * w + P7
-//
-(p0)  fmpy.s1 FR_w4 = FR_wsq, FR_wsq 
-	nop.i 999 ;;
-}
-
-{ .mfi
-	nop.m 999
-(p0)  fma.s1 FR_Y_hi = FR_W, FR_Y_hi, FR_P2 
-	nop.i 999
-}
-
-{ .mfi
-	nop.m 999
-(p0)  fma.s1 FR_Y_lo = FR_W, FR_Y_lo, FR_P6 
-(p0)  add GR_Perturb = 0x1, r0 ;; 
-}
-
-{ .mfi
-	nop.m 999
-//
-//    w4 = w2 * w2 
-//    Y_hi = y_hi * w + p2 
-//    Y_lo = y_lo * w + p6 
-//    Create perturbation bit
-//
-(p0)  fmpy.s1 FR_w6 = FR_w4, FR_wsq 
-	nop.i 999 ;;
-}
-
-{ .mfi
-	nop.m 999
-(p0)  fma.s1 FR_Y_hi = FR_W, FR_Y_hi, FR_P1 
-	nop.i 999
-}
-//
-//    Y_hi = y_hi * w + p1 
-//    w6 = w4 * w2 
-//
-
-{ .mfi
-(p0)  setf.sig FR_Q4 = GR_Perturb 
-(p0)  fma.s1 FR_Y_lo = FR_W, FR_Y_lo, FR_P5 
-	nop.i 999 ;;
-}
-
-{ .mfi
-	nop.m 999
-(p0)  fma.s1 FR_Y_hi = FR_wsq,FR_Y_hi, FR_W 
-	nop.i 999
-}
-
-{ .mfb
-	nop.m 999
-//
-//    Y_hi = y_hi * wsq + w 
-//    Y_lo = y_lo * w + p5 
-//
-(p0)  fmpy.s1 FR_Y_lo = FR_w6, FR_Y_lo 
-//
-//    Y_lo = y_lo * w6  
-//
-// (p0)  for FR_dummy = FR_Y_lo,FR_dummy ;;
-//
-//    Set lsb on: Taken out to improve performance 
-//
-// (p0)  fmerge.se FR_Y_lo =  FR_Y_lo,FR_dummy ;;
-//
-//    Make sure it's on in Y_lo also.  Taken out to improve
-//    performance
-//
-(p0)  br.cond.sptk L(LOG_main) ;; 
-}
-
-
-L(log1pf_small): 
-
-{ .mmi
-	nop.m 999
-	nop.m 999
-//  /*******************************************************/
-//  /*********** Branch log1pf_small  ***********************/
-//  /*******************************************************/
-(p0)  addl GR_Table_Base = @ltoff(Constants_Threshold#),gp 
+(p7)  ldfd          FR_T = [GR_ad_T]
+      nop.m         0
+(p10) br.ret.spnt   b0              // Exit if |x| < 2^-40
 }
+;;
 
 { .mfi
-	nop.m 999
-(p0)  mov FR_Em1 = FR_W 
-(p0)  cmp.eq.unc  p7, p0 = r0, r0 ;; 
-}
-
-{ .mlx
-      ld8    GR_Table_Base = [GR_Table_Base]
-(p0)  movl GR_Expo_Range = 0x0000000000000002 ;; 
-}
-//
-//    Set Safe to true
-//    Set Expo_Range = 0 for single
-//    Set Expo_Range = 2 for double 
-//    Set Expo_Range = 4 for double-extended 
-//
-
-{ .mmi
-(p0)  shladd GR_Table_Base = GR_Expo_Range,4,GR_Table_Base ;; 
-(p0)  ldfe FR_Threshold = [GR_Table_Base],16 
-	nop.i 999
+      nop.m         0
+      fma.s1        FR_r2 = FR_r,FR_r,f0 // r^2
+      nop.i         0
 }
-
-{ .mlx
-	nop.m 999
-(p0)  movl GR_Bias = 0x000000000000FF9B ;; 
-}
-
 { .mfi
-(p0)  ldfe FR_Tiny = [GR_Table_Base],0 
-	nop.f 999
-	nop.i 999 ;;
+      nop.m         0
+      fnma.s1       FR_A2 = FR_A2,FR_r,f1      // 1.0 - A2*r
+      nop.i         0
 }
+;;
 
 { .mfi
-	nop.m 999
-(p0)  fcmp.gt.unc.s1 p13, p12 =  FR_abs_W, FR_Threshold 
-	nop.i 999 ;;
+      nop.m         0
+      fnma.s1       FR_A3 = FR_A4,FR_r,FR_A3 // A3 - A4*r
+      nop.i         0
 }
+;;
 
 { .mfi
-	nop.m 999
-(p13) fnmpy.s1 FR_Y_lo = FR_W, FR_W 
-	nop.i 999
+      nop.m         0
+(p7)  fcvt.xf       FR_N = FR_N
+      nop.i         0
 }
+;;
 
 { .mfi
-	nop.m 999
-(p13) fadd FR_SCALE = f0, f1 
-	nop.i 999 ;;
+      nop.m         0
+      // (A3*r+A2)*r^2+r
+      fma.s1        FR_A2 = FR_A3,FR_r2,FR_A2 // (A4*r+A3)*r^2+(A2*r+1)
+      nop.i         0
 }
+;;
 
 { .mfi
-	nop.m 999
-(p12) fsub.s1 FR_Y_lo = f0, FR_Tiny 
-(p12) cmp.ne.unc  p7, p0 = r0, r0 
+      nop.m         0
+      // N*Ln2hi+T
+(p7)  fma.s1        FR_NxLn2pT = FR_N,FR_Ln2,FR_T
+      nop.i         0
 }
+;;
 
+.pred.rel "mutex",p6,p7
 { .mfi
-(p12) setf.exp FR_SCALE = GR_Bias 
-	nop.f 999
-	nop.i 999 ;;
+      nop.m         0
+(p6)  fma.s.s0      f8 = FR_A2,FR_r,f0 // result if 2^(-40) <= |x| < 1/256
+      nop.i         0
 }
-
-//
-//    Set p7 to SAFE = FALSE
-//    Set Scale = 2^-100 
-//
 { .mfb
-	nop.m 999
-(p0)  fma.s.s0 FR_Input_X = FR_Y_lo,FR_SCALE,FR_Y_hi
-(p0)  br.ret.sptk   b0
+      nop.m         0
+(p7)  fma.s.s0      f8 = FR_A2,FR_r,FR_NxLn2pT  // result if |x| >= 1/256
+      br.ret.sptk   b0                          // Exit if |x| >= 2^(-40)
 }
 ;;
 
-L(LOG_64_one): 
-
+.align 32
+log1p_unorm:
+// Here if x=unorm
 { .mfb
-	nop.m 999
-(p0)  fmpy.s.s0 FR_Input_X = FR_Input_X, f0 
-(p0)  br.ret.sptk   b0
+      getf.exp      GR_signexp_x = FR_NormX // recompute biased exponent
+      nop.f         0
+      br.cond.sptk  log1p_common
 }
 ;;
-//    
-//    Raise divide by zero for +/-0 input.
-//    
-
-L(LOG_64_zero): 
 
+.align 32
+log1p_eq_minus_1:
+// Here if x=-1
 { .mfi
-(p0)  mov   GR_Parameter_TAG = 142 
-//
-//    If we have log1pf(0), return -Inf.
-//  
-(p0)  fsub.s0 FR_Output_X_tmp = f0, f1 
-      nop.i 999 ;;
+      nop.m         0
+      fmerge.s      FR_X = f8,f8 // keep input argument for subsequent
+                                 // call of __libm_error_support#
+      nop.i         0
 }
-{ .mfb
-      nop.m 999
-(p0)  frcpa.s0 FR_Output_X_tmp, p8 =  FR_Output_X_tmp, f0 
-(p0)  br.cond.sptk L(LOG_ERROR_Support) ;; 
-}
-
-L(LOG_64_special): 
+;;
 
 { .mfi
-      nop.m 999
-//    
-//    Return -Inf or value from handler.
-//    
-(p0)  fclass.m.unc p7, p0 =  FR_Input_X, 0x1E1 
-      nop.i 999 ;;
+      mov           GR_TAG = 142  // set libm error in case of log1p(-1).
+      frcpa.s0      f8,p0 = f8,f0 // log1p(-1) should be equal to -INF.
+                                      // We can get it using frcpa because it
+                                      // sets result to the IEEE-754 mandated
+                                      // quotient of f8/f0.
+      nop.i         0
 }
-
-{ .mfb
-      nop.m 999
-//     
-//    Check for Natval, QNan, SNaN, +Inf   
-//    
-(p7)  fmpy.s.s0  f8 =  FR_Input_X, f1 
-//     
-//    For SNaN raise invalid and return QNaN.
-//    For QNaN raise invalid and return QNaN.
-//    For +Inf return +Inf.
-//    
-(p7)  br.ret.sptk   b0
+{ .mib
+      nop.m         0
+      nop.i         0
+      br.cond.sptk  log_libm_err
 }
 ;;
 
-//    
-//    For -Inf raise invalid and return QNaN.
-//    
-
-{ .mfb
-(p0)  mov   GR_Parameter_TAG = 143 
-(p0)  fmpy.s.s0  FR_Output_X_tmp =  FR_Input_X, f0 
-(p0)  br.cond.sptk L(LOG_ERROR_Support) ;; 
+.align 32
+log1p_lt_minus_1:
+// Here if x < -1
+{ .mfi
+      nop.m         0
+      fmerge.s      FR_X = f8,f8
+      nop.i         0
 }
+;;
 
-//
-//    Report that log1pf(-Inf) computed
-//     
-
-L(LOG_64_unsupported): 
-
-//    
-//    Return generated NaN or other value .
-//    
-
-{ .mfb
-      nop.m 999
-(p0)  fmpy.s.s0 FR_Input_X = FR_Input_X, f0 
-(p0)  br.ret.sptk   b0 ;;
+{ .mfi
+      mov           GR_TAG = 143  // set libm error in case of x < -1.
+      frcpa.s0      f8,p0 = f0,f0 // log1p(x) x < -1 should be equal to NaN.
+                                  // We can get it using frcpa because it
+                                  // sets result to the IEEE-754 mandated
+                                  // quotient of f0/f0 i.e. NaN.
+      nop.i         0
 }
+;;
 
-L(LOG_64_negative): 
-
-{ .mfi
-      nop.m 999
-//     
-//    Deal with x < 0 in a special way 
-//    
-(p0)  frcpa.s0 FR_Output_X_tmp, p8 =  f0, f0 
-//     
-//    Deal with x < 0 in a special way - raise
-//    invalid and produce QNaN indefinite.
-//    
-(p0)  mov   GR_Parameter_TAG = 143;;
+.align 32
+log_libm_err:
+{ .mmi
+      alloc         r32 = ar.pfs,1,4,4,0
+      mov           GR_Parameter_TAG = GR_TAG
+      nop.i         0
 }
+;;
 
-.endp log1pf#
-ASM_SIZE_DIRECTIVE(log1pf)
+GLOBAL_IEEE754_END(log1pf)
 
-.proc __libm_error_region
-__libm_error_region:
-L(LOG_ERROR_Support): 
+LOCAL_LIBM_ENTRY(__libm_error_region)
 .prologue
-
-// (1)
 { .mfi
-        add   GR_Parameter_Y=-32,sp             // Parameter 2 value
+        add   GR_Parameter_Y = -32,sp         // Parameter 2 value
         nop.f 0
 .save   ar.pfs,GR_SAVE_PFS
-        mov  GR_SAVE_PFS=ar.pfs                 // Save ar.pfs
+        mov  GR_SAVE_PFS = ar.pfs             // Save ar.pfs
 }
 { .mfi
 .fframe 64
-        add sp=-64,sp                          // Create new stack
+        add sp = -64,sp                       // Create new stack
         nop.f 0
-        mov GR_SAVE_GP=gp                      // Save gp
+        mov GR_SAVE_GP = gp                   // Save gp
 };;
-
-
-// (2)
 { .mmi
-        stfs [GR_Parameter_Y] = f0,16         // STORE Parameter 2 on stack
+        stfs [GR_Parameter_Y] = FR_Y,16       // STORE Parameter 2 on stack
         add GR_Parameter_X = 16,sp            // Parameter 1 address
 .save   b0, GR_SAVE_B0
-        mov GR_SAVE_B0=b0                     // Save b0
+        mov GR_SAVE_B0 = b0                   // Save b0
 };;
-
 .body
-// (3)
 { .mib
-        stfs [GR_Parameter_X] =FR_Input_X               // STORE Parameter 1 on stack
-        add   GR_Parameter_RESULT = 0,GR_Parameter_Y    // Parameter 3 address
-        nop.b 0                                      
+        stfs [GR_Parameter_X] = FR_X          // STORE Parameter 1 on stack
+        add   GR_Parameter_RESULT = 0,GR_Parameter_Y // Parameter 3 address
+        nop.b 0
 }
 { .mib
-        stfs [GR_Parameter_Y] = FR_Output_X_tmp         // STORE Parameter 3 on stack
+        stfs [GR_Parameter_Y] = FR_RESULT     // STORE Parameter 3 on stack
         add   GR_Parameter_Y = -16,GR_Parameter_Y
-        br.call.sptk b0=__libm_error_support#           // Call error handling function
+        br.call.sptk b0=__libm_error_support# // Call error handling function
 };;
 { .mmi
-        nop.m 0
-        nop.m 0
         add   GR_Parameter_RESULT = 48,sp
+        nop.m 0
+        nop.i 0
 };;
-
-// (4)
 { .mmi
-        ldfs  FR_Input_X = [GR_Parameter_RESULT]       // Get return result off stack
+        ldfs  f8 = [GR_Parameter_RESULT]      // Get return result off stack
 .restore sp
-        add   sp = 64,sp                       // Restore stack pointer
-        mov   b0 = GR_SAVE_B0                  // Restore return address
+        add   sp = 64,sp                      // Restore stack pointer
+        mov   b0 = GR_SAVE_B0                 // Restore return address
 };;
 { .mib
-        mov   gp = GR_SAVE_GP                  // Restore gp
-        mov   ar.pfs = GR_SAVE_PFS             // Restore ar.pfs
-        br.ret.sptk   b0 
+        mov   gp = GR_SAVE_GP                 // Restore gp
+        mov   ar.pfs = GR_SAVE_PFS            // Restore ar.pfs
+        br.ret.sptk     b0                    // Return
 };;
-
-.endp __libm_error_region
-ASM_SIZE_DIRECTIVE(__libm_error_region)
-
-
-.proc __libm_LOG_main 
-__libm_LOG_main:
-L(LOG_main): 
-
-//
-//    kernel_log_64 computes ln(X + E)
-//
-
-{ .mfi
-	nop.m 999
-(p7)  fadd.s.s0 FR_Input_X = FR_Y_lo,FR_Y_hi
-        nop.i 999
-}
-
-{ .mmi
-	nop.m 999
-	nop.m 999
-(p14) addl GR_Table_Base = @ltoff(Constants_1_by_LN10#),gp ;; 
-}
-
-{ .mmi
-      nop.m 999
-(p14) ld8    GR_Table_Base = [GR_Table_Base]
-      nop.i 999
-};;
-
-{ .mmi
-(p14) ldfe FR_1LN10_hi = [GR_Table_Base],16 ;; 
-(p14) ldfe FR_1LN10_lo = [GR_Table_Base]
-	nop.i 999 ;;
-}
-
-{ .mfi
-	nop.m 999
-(p14) fmpy.s1 FR_Output_X_tmp = FR_Y_lo,FR_1LN10_hi
-	nop.i 999 ;;
-}
-
-{ .mfi
-	nop.m 999
-(p14) fma.s1  FR_Output_X_tmp = FR_Y_hi,FR_1LN10_lo,FR_Output_X_tmp
-	nop.i 999 ;;
-}
-
-{ .mfb
-	nop.m 999
-(p14) fma.s.s0 FR_Input_X = FR_Y_hi,FR_1LN10_hi,FR_Output_X_tmp
-(p0)  br.ret.sptk   b0 ;; 
-}
-.endp __libm_LOG_main
-ASM_SIZE_DIRECTIVE(__libm_LOG_main)
-
+LOCAL_LIBM_END(__libm_error_region)
 
 .type   __libm_error_support#,@function
 .global __libm_error_support#
+
diff --git a/sysdeps/ia64/fpu/s_log1pl.S b/sysdeps/ia64/fpu/s_log1pl.S
index 7cd3f7834c..d392a58edf 100644
--- a/sysdeps/ia64/fpu/s_log1pl.S
+++ b/sysdeps/ia64/fpu/s_log1pl.S
@@ -1,10 +1,10 @@
 .file "log1pl.s" 
 
-// Copyright (C) 2000, 2001, Intel Corporation
+
+// Copyright (c) 2000 - 2003, Intel Corporation
 // All rights reserved.
-// 
-// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story,
-// and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
 //
 // Redistribution and use in source and binary forms, with or without
 // modification, are permitted provided that the following conditions are
@@ -20,7 +20,7 @@
 // * The name of Intel Corporation may not be used to endorse or promote
 // products derived from this software without specific prior written
 // permission.
-//
+
 // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
 // "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
@@ -35,55 +35,49 @@
 // 
 // Intel Corporation is the author of this code, and requests that all
 // problem reports or change requests be submitted to it directly at 
-// http://developer.intel.com/opensource.
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
 //
-// *********************************************************************
+//*********************************************************************
 //
 // History: 
-// 2/02/00  hand-optimized
-// 4/04/00  Unwind support added
-// 8/15/00  Bundle added after call to __libm_error_support to properly
+// 02/02/00 Initial version
+// 04/04/00 Unwind support added
+// 08/15/00 Bundle added after call to __libm_error_support to properly
 //          set [the previously overwritten] GR_Parameter_RESULT.
+// 05/21/01 Removed logl and log10l, putting them in a separate file
+// 06/29/01 Improved speed of all paths
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 02/10/03 Reordered header: .section, .global, .proc, .align;
+//          used data8 for long double table values
 //
-// *********************************************************************
+//*********************************************************************
 //
-// *********************************************************************
+//*********************************************************************
 //
-// Function:   Combined logl(x), log1pl(x), and log10l(x) where
-//             logl(x)   = ln(x), for double-extended precision x values
-//             log1pl(x) = ln(x+1), for double-extended precision x values
-//             log10l(x) = log (x), for double-extended precision x values
-//                           10
+// Function:   log1pl(x) = ln(x+1), for double-extended precision x values
 //
-// *********************************************************************
+//*********************************************************************
 //
 // Resources Used:
 //
 //    Floating-Point Registers: f8 (Input and Return Value)
-//                              f9,f33-f55,f99 
+//                              f34-f82
 //
 //    General Purpose Registers:
-//      r32-r53
-//      r54-r57 (Used to pass arguments to error handling routine)
+//      r32-r56
+//      r53-r56 (Used to pass arguments to error handling routine)
 //
-//    Predicate Registers:      p6-p15
+//    Predicate Registers:      p6-p13
 //
-// *********************************************************************
+//*********************************************************************
 //
 // IEEE Special Conditions:
 //
-//    Denormal  fault raised on denormal inputs
+//    Denormal fault raised on denormal inputs
 //    Overflow exceptions cannot occur  
 //    Underflow exceptions raised when appropriate for log1p 
-//    (Error Handling Routine called for underflow)
 //    Inexact raised when appropriate by algorithm
 //
-//    logl(inf) = inf
-//    logl(-inf) = QNaN 
-//    logl(+/-0) = -inf 
-//    logl(SNaN) = QNaN
-//    logl(QNaN) = QNaN
-//    logl(EM_special Values) = QNaN
 //    log1pl(inf) = inf
 //    log1pl(-inf) = QNaN 
 //    log1pl(+/-0) = +/-0 
@@ -91,54 +85,37 @@
 //    log1pl(SNaN) = QNaN
 //    log1pl(QNaN) = QNaN
 //    log1pl(EM_special Values) = QNaN
-//    log10l(inf) = inf
-//    log10l(-inf) = QNaN 
-//    log10l(+/-0) = -inf 
-//    log10l(SNaN) = QNaN
-//    log10l(QNaN) = QNaN
-//    log10l(EM_special Values) = QNaN
-//
-// *********************************************************************
-//
-// Computation is based on the following kernel.
-//
-// ker_log_64( in_FR    :  X,
-// 	    in_FR    :  E,
-// 	    in_FR    :  Em1,
-// 	    in_GR    :  Expo_Range,
-// 	    out_FR   :  Y_hi,
-// 	    out_FR   :  Y_lo,
-// 	    out_FR   :  Scale,
-// 	    out_PR   :  Safe  )
-// 
+//
+//*********************************************************************
+//
 // Overview
 //
 // The method consists of three cases.
 //
-// If	|X+Em1| < 2^(-80)	use case log1pl_small;
-// elseif	|X+Em1| < 2^(-7)	use case log_near1;
-// else				use case log_regular;
+// If      |X| < 2^(-80)	use case log1p_small;
+// else    |X| < 2^(-7)	        use case log_near1;
+// else      			use case log_regular;
 //
-// Case log1pl_small:
+// Case log1p_small:
 //
-// logl( 1 + (X+Em1) ) can be approximated by (X+Em1).
+//   log1pl( X ) = logl( X+1 ) can be approximated by X
 //
 // Case log_near1:
 //
-//   logl( 1 + (X+Em1) ) can be approximated by a simple polynomial
-//   in W = X+Em1. This polynomial resembles the truncated Taylor
+//   log1pl( X ) = log( X+1 ) can be approximated by a simple polynomial
+//   in W = X. This polynomial resembles the truncated Taylor
 //   series W - W^/2 + W^3/3 - ...
 // 
 // Case log_regular:
 //
 //   Here we use a table lookup method. The basic idea is that in
-//   order to compute logl(Arg) for an argument Arg in [1,2), we 
-//   construct a value G such that G*Arg is close to 1 and that
+//   order to compute logl(Arg) = log1pl (Arg-1) for an argument Arg in [1,2), 
+//   we construct a value G such that G*Arg is close to 1 and that
 //   logl(1/G) is obtainable easily from a table of values calculated
 //   beforehand. Thus
 //
-//	logl(Arg) = logl(1/G) + logl(G*Arg)
-//		 = logl(1/G) + logl(1 + (G*Arg - 1))
+//      logl(Arg) = logl(1/G) + logl(G*Arg)
+//      	 = logl(1/G) + logl(1 + (G*Arg - 1))
 //
 //   Because |G*Arg - 1| is small, the second term on the right hand
 //   side can be approximated by a short polynomial. We elaborate
@@ -146,9 +123,9 @@
 //
 //   Step 0: Initialization
 //
-//   We need to calculate logl( E + X ). Obtain N, S_hi, S_lo such that
+//   We need to calculate logl( X+1 ). Obtain N, S_hi such that
 //
-//	E + X = 2^N * ( S_hi + S_lo )	exactly
+//      X+1 = 2^N * ( S_hi + S_lo )   exactly
 //
 //   where S_hi in [1,2) and S_lo is a correction to S_hi in the sense
 //   that |S_lo| <= ulp(S_hi).
@@ -157,8 +134,8 @@
 //
 //   Based on S_hi, obtain G_1, G_2, G_3 from a table and calculate
 //
-//	G := G_1 * G_2 * G_3
-//	r := (G * S_hi - 1)  + G * S_lo
+//      G := G_1 * G_2 * G_3
+//      r := (G * S_hi - 1) + G * S_lo
 //
 //   These G_j's have the property that the product is exactly 
 //   representable and that |r| < 2^(-12) as a result.
@@ -171,61 +148,34 @@
 //   Step 3: Reconstruction
 //
 //
-//   Finally, logl( E + X ) is given by
+//   Finally, log1pl( X ) = logl( X+1 ) is given by
 //
-//   logl( E + X )   =   logl( 2^N * (S_hi + S_lo) )
+//   logl( X+1 )   =   logl( 2^N * (S_hi + S_lo) )
 //                 ~=~  N*logl(2) + logl(1/G) + logl(1 + r)
 //                 ~=~  N*logl(2) + logl(1/G) + poly(r).
 //
 // **** Algorithm ****
 //
-// Case log1pl_small:
-//
-// Although logl(1 + (X+Em1)) is basically X+Em1, we would like to 
-// preserve the inexactness nature as well as consistent behavior
-// under different rounding modes. Note that this case can only be
-// taken if E is set to be 1.0. In this case, Em1 is zero, and that
-// X can be very tiny and thus the final result can possibly underflow.
-// Thus, we compare X against a threshold that is dependent on the
-// input Expo_Range. If |X| is smaller than this threshold, we set
-// SAFE to be FALSE. 
-//
-// The result is returned as Y_hi, Y_lo, and in the case of SAFE 
-// is FALSE, an additional value Scale is also returned. 
-//
-//	W    := X + Em1
-//      Threshold := Threshold_Table( Expo_Range )
-//      Tiny      := Tiny_Table( Expo_Range )
-//
-//      If ( |W| > Threshold ) then
-//         Y_hi  := W
-//         Y_lo  := -W*W
-//      Else
-//         Y_hi  := W
-//         Y_lo  := -Tiny
-//         Scale := 2^(-100)
-//         Safe  := FALSE
-//      EndIf
-//
-//
-// One may think that Y_lo should be -W*W/2; however, it does not matter
-// as Y_lo will be rounded off completely except for the correct effect in 
-// directed rounding. Clearly -W*W is simplier to compute. Moreover,
-// because of the difference in exponent value, Y_hi + Y_lo or 
-// Y_hi + Scale*Y_lo is always inexact.
+// Case log1p_small:
+//
+// Although log1pl(X) is basically X, we would like to preserve the inexactness
+// nature as well as consistent behavior under different rounding modes.
+// We can do this by computing the result as 
+//    
+//     log1pl(X) = X - X*X
+//
 //
 // Case log_near1:
 //
 // Here we compute a simple polynomial. To exploit parallelism, we split
 // the polynomial into two portions.
 // 
-// 	W := X + Em1
-// 	Wsq := W * W
-// 	W4  := Wsq*Wsq
-// 	W6  := W4*Wsq
-// 	Y_hi := W + Wsq*(P_1 + W*(P_2 + W*(P_3 + W*P_4))
-// 	Y_lo := W6*(P_5 + W*(P_6 + W*(P_7 + W*P_8)))
-//      set lsb(Y_lo) to be 1
+//       W := X
+//       Wsq := W * W
+//       W4  := Wsq*Wsq
+//       W6  := W4*Wsq
+//       Y_hi := W + Wsq*(P_1 + W*(P_2 + W*(P_3 + W*P_4))
+//       Y_lo := W6*(P_5 + W*(P_6 + W*(P_7 + W*P_8)))
 //
 // Case log_regular:
 //
@@ -234,89 +184,87 @@
 //   Step 0. Initialization
 //   ----------------------
 //
-//   Z := X + E
+//   Z := X + 1
 //   N := unbaised exponent of Z
 //   S_hi := 2^(-N) * Z
-//   S_lo := 2^(-N) * { (max(X,E)-Z) + min(X,E) }
-//
-//   Note that S_lo is always 0 for the case E = 0.
+//   S_lo := 2^(-N) * { (max(X,1)-Z) + min(X,1) }
 //
 //   Step 1. Argument Reduction
 //   --------------------------
 //
 //   Let
 //
-//	Z = 2^N * S_hi = 2^N * 1.d_1 d_2 d_3 ... d_63
+//      Z = 2^N * S_hi = 2^N * 1.d_1 d_2 d_3 ... d_63
 //
 //   We obtain G_1, G_2, G_3 by the following steps.
 //
 //
-//	Define		X_0 := 1.d_1 d_2 ... d_14. This is extracted
-//			from S_hi.
+//      Define		X_0 := 1.d_1 d_2 ... d_14. This is extracted
+//      		from S_hi.
 //
-//	Define		A_1 := 1.d_1 d_2 d_3 d_4. This is X_0 truncated
-//			to lsb = 2^(-4).
+//      Define		A_1 := 1.d_1 d_2 d_3 d_4. This is X_0 truncated
+//      		to lsb = 2^(-4).
 //
-//	Define		index_1 := [ d_1 d_2 d_3 d_4 ].
+//      Define		index_1 := [ d_1 d_2 d_3 d_4 ].
 //
-//	Fetch 		Z_1 := (1/A_1) rounded UP in fixed point with
-//	fixed point	lsb = 2^(-15).
-//			Z_1 looks like z_0.z_1 z_2 ... z_15
-//		        Note that the fetching is done using index_1.
-//			A_1 is actually not needed in the implementation
-//			and is used here only to explain how is the value
-//			Z_1 defined.
+//      Fetch 		Z_1 := (1/A_1) rounded UP in fixed point with
+//      fixed point	lsb = 2^(-15).
+//      		Z_1 looks like z_0.z_1 z_2 ... z_15
+//      	        Note that the fetching is done using index_1.
+//      		A_1 is actually not needed in the implementation
+//      		and is used here only to explain how is the value
+//      		Z_1 defined.
 //
-//	Fetch		G_1 := (1/A_1) truncated to 21 sig. bits.
-//	floating pt.	Again, fetching is done using index_1. A_1
-//			explains how G_1 is defined.
+//      Fetch		G_1 := (1/A_1) truncated to 21 sig. bits.
+//      floating pt.	Again, fetching is done using index_1. A_1
+//      		explains how G_1 is defined.
 //
-//	Calculate	X_1 := X_0 * Z_1 truncated to lsb = 2^(-14)
-//			     = 1.0 0 0 0 d_5 ... d_14
-//			This is accomplised by integer multiplication.
-//			It is proved that X_1 indeed always begin
-//			with 1.0000 in fixed point.
+//      Calculate	X_1 := X_0 * Z_1 truncated to lsb = 2^(-14)
+//      		     = 1.0 0 0 0 d_5 ... d_14
+//      		This is accomplised by integer multiplication.
+//      		It is proved that X_1 indeed always begin
+//      		with 1.0000 in fixed point.
 //
 //
-//	Define		A_2 := 1.0 0 0 0 d_5 d_6 d_7 d_8. This is X_1 
-//			truncated to lsb = 2^(-8). Similar to A_1,
-//			A_2 is not needed in actual implementation. It
-//			helps explain how some of the values are defined.
+//      Define		A_2 := 1.0 0 0 0 d_5 d_6 d_7 d_8. This is X_1 
+//      		truncated to lsb = 2^(-8). Similar to A_1,
+//      		A_2 is not needed in actual implementation. It
+//      		helps explain how some of the values are defined.
 //
-//	Define		index_2 := [ d_5 d_6 d_7 d_8 ].
+//      Define		index_2 := [ d_5 d_6 d_7 d_8 ].
 //
-//	Fetch 		Z_2 := (1/A_2) rounded UP in fixed point with
-//	fixed point	lsb = 2^(-15). Fetch done using index_2.
-//			Z_2 looks like z_0.z_1 z_2 ... z_15
+//      Fetch 		Z_2 := (1/A_2) rounded UP in fixed point with
+//      fixed point	lsb = 2^(-15). Fetch done using index_2.
+//      		Z_2 looks like z_0.z_1 z_2 ... z_15
 //
-//	Fetch		G_2 := (1/A_2) truncated to 21 sig. bits.
-//	floating pt.
+//      Fetch		G_2 := (1/A_2) truncated to 21 sig. bits.
+//      floating pt.
 //
-//	Calculate	X_2 := X_1 * Z_2 truncated to lsb = 2^(-14)
-//			     = 1.0 0 0 0 0 0 0 0 d_9 d_10 ... d_14
-//			This is accomplised by integer multiplication.
-//			It is proved that X_2 indeed always begin
-//			with 1.00000000 in fixed point.
+//      Calculate	X_2 := X_1 * Z_2 truncated to lsb = 2^(-14)
+//      		     = 1.0 0 0 0 0 0 0 0 d_9 d_10 ... d_14
+//      		This is accomplised by integer multiplication.
+//      		It is proved that X_2 indeed always begin
+//      		with 1.00000000 in fixed point.
 //
 //
-//	Define		A_3 := 1.0 0 0 0 0 0 0 0 d_9 d_10 d_11 d_12 d_13 1.
-//			This is 2^(-14) + X_2 truncated to lsb = 2^(-13).
+//      Define		A_3 := 1.0 0 0 0 0 0 0 0 d_9 d_10 d_11 d_12 d_13 1.
+//      		This is 2^(-14) + X_2 truncated to lsb = 2^(-13).
 //
-//	Define		index_3 := [ d_9 d_10 d_11 d_12 d_13 ].
+//      Define		index_3 := [ d_9 d_10 d_11 d_12 d_13 ].
 //
-//	Fetch		G_3 := (1/A_3) truncated to 21 sig. bits.
-//	floating pt.	Fetch is done using index_3.
+//      Fetch		G_3 := (1/A_3) truncated to 21 sig. bits.
+//      floating pt.	Fetch is done using index_3.
 //
-//	Compute		G := G_1 * G_2 * G_3. 
+//      Compute		G := G_1 * G_2 * G_3. 
 //
-//	This is done exactly since each of G_j only has 21 sig. bits.
+//      This is done exactly since each of G_j only has 21 sig. bits.
 //
-//	Compute   
+//      Compute   
 //
-//		r := (G*S_hi - 1) + G*S_lo   using 2 FMA operations.
+//      	r := (G*S_hi - 1) + G*S_lo using 2 FMA operations.
 //
-//	thus, r approximates G*(S_hi+S_lo) - 1 to within a couple of 
-//	rounding errors.
+//      Thus r approximates G*(S_hi + S_lo) - 1 to within a couple of
+//      rounding errors.
 //
 //
 //  Step 2. Approximation
@@ -326,1258 +274,878 @@
 //   reduced argument just obtained. It is proved that |r| <= 1.9*2^(-13);
 //   thus logl(1+r) can be approximated by a short polynomial:
 //
-//	logl(1+r) ~=~ poly = r + Q1 r^2 + ... + Q4 r^5
+//      logl(1+r) ~=~ poly = r + Q1 r^2 + ... + Q4 r^5
 //
 //
 //  Step 3. Reconstruction
 //  ----------------------
 //
-//   This step computes the desired result of logl(X+E):
+//   This step computes the desired result of logl(X+1):
 //
-//	logl(X+E)  =   logl( 2^N * (S_hi + S_lo) )
-//		  =   N*logl(2) + logl( S_hi + S_lo )
-//		  =   N*logl(2) + logl(1/G) +
-//		      logl(1 + C*(S_hi+S_lo) - 1 )
+//      logl(X+1) =   logl( 2^N * (S_hi + S_lo) )
+//      	  =   N*logl(2) + logl( S_hi + S_lo) )
+//      	  =   N*logl(2) + logl(1/G) +
+//      	      logl(1 + G * ( S_hi + S_lo ) - 1 )
 //
 //   logl(2), logl(1/G_j) are stored as pairs of (single,double) numbers:
 //   log2_hi, log2_lo, log1byGj_hi, log1byGj_lo. The high parts are
 //   single-precision numbers and the low parts are double precision
 //   numbers. These have the property that
 //
-//	N*log2_hi + SUM ( log1byGj_hi )
+//      N*log2_hi + SUM ( log1byGj_hi )
 //
 //   is computable exactly in double-extended precision (64 sig. bits).
 //   Finally
 //
-//	Y_hi := N*log2_hi + SUM ( log1byGj_hi )
-//	Y_lo := poly_hi + [ poly_lo + 
-//	        ( SUM ( log1byGj_lo ) + N*log2_lo ) ]
-//      set lsb(Y_lo) to be 1
+//      Y_hi := N*log2_hi + SUM ( log1byGj_hi )
+//      Y_lo := poly_hi + [ poly_lo + 
+//              ( SUM ( log1byGj_lo ) + N*log2_lo ) ]
 //
 
-#include "libm_support.h"
+RODATA
+.align 64
 
-#ifdef _LIBC
-.rodata
-#else
-.data
-#endif
+// ************* DO NOT CHANGE THE ORDER OF THESE TABLES *************
 
-// P_7, P_6, P_5, P_4, P_3, P_2, and P_1 
+// P_8, P_7, P_6, P_5, P_4, P_3, P_2, and P_1 
+
+LOCAL_OBJECT_START(Constants_P)
+//data4  0xEFD62B15,0xE3936754,0x00003FFB,0x00000000
+//data4  0xA5E56381,0x8003B271,0x0000BFFC,0x00000000
+//data4  0x73282DB0,0x9249248C,0x00003FFC,0x00000000
+//data4  0x47305052,0xAAAAAA9F,0x0000BFFC,0x00000000
+//data4  0xCCD17FC9,0xCCCCCCCC,0x00003FFC,0x00000000
+//data4  0x00067ED5,0x80000000,0x0000BFFD,0x00000000
+//data4  0xAAAAAAAA,0xAAAAAAAA,0x00003FFD,0x00000000
+//data4  0xFFFFFFFE,0xFFFFFFFF,0x0000BFFD,0x00000000
+data8  0xE3936754EFD62B15,0x00003FFB
+data8  0x8003B271A5E56381,0x0000BFFC
+data8  0x9249248C73282DB0,0x00003FFC
+data8  0xAAAAAA9F47305052,0x0000BFFC
+data8  0xCCCCCCCCCCD17FC9,0x00003FFC
+data8  0x8000000000067ED5,0x0000BFFD
+data8  0xAAAAAAAAAAAAAAAA,0x00003FFD
+data8  0xFFFFFFFFFFFFFFFE,0x0000BFFD
+LOCAL_OBJECT_END(Constants_P)
 
-.align 64
-Constants_P:
-ASM_TYPE_DIRECTIVE(Constants_P,@object)
-data4  0xEFD62B15,0xE3936754,0x00003FFB,0x00000000
-data4  0xA5E56381,0x8003B271,0x0000BFFC,0x00000000
-data4  0x73282DB0,0x9249248C,0x00003FFC,0x00000000
-data4  0x47305052,0xAAAAAA9F,0x0000BFFC,0x00000000
-data4  0xCCD17FC9,0xCCCCCCCC,0x00003FFC,0x00000000
-data4  0x00067ED5,0x80000000,0x0000BFFD,0x00000000
-data4  0xAAAAAAAA,0xAAAAAAAA,0x00003FFD,0x00000000
-data4  0xFFFFFFFE,0xFFFFFFFF,0x0000BFFD,0x00000000
-ASM_SIZE_DIRECTIVE(Constants_P)
- 
 // log2_hi, log2_lo, Q_4, Q_3, Q_2, and Q_1 
 
-.align 64
-Constants_Q:
-ASM_TYPE_DIRECTIVE(Constants_Q,@object)
-data4  0x00000000,0xB1721800,0x00003FFE,0x00000000 
-data4  0x4361C4C6,0x82E30865,0x0000BFE2,0x00000000
-data4  0x328833CB,0xCCCCCAF2,0x00003FFC,0x00000000
-data4  0xA9D4BAFB,0x80000077,0x0000BFFD,0x00000000
-data4  0xAAABE3D2,0xAAAAAAAA,0x00003FFD,0x00000000
-data4  0xFFFFDAB7,0xFFFFFFFF,0x0000BFFD,0x00000000
-ASM_SIZE_DIRECTIVE(Constants_Q)
- 
-// Z1 - 16 bit fixed, G1 and H1 - IEEE single 
- 
-.align 64
-Constants_Z_G_H_h1:
-ASM_TYPE_DIRECTIVE(Constants_Z_G_H_h1,@object)
-data4  0x00008000,0x3F800000,0x00000000,0x00000000,0x00000000,0x00000000
-data4  0x00007879,0x3F70F0F0,0x3D785196,0x00000000,0x617D741C,0x3DA163A6
-data4  0x000071C8,0x3F638E38,0x3DF13843,0x00000000,0xCBD3D5BB,0x3E2C55E6
-data4  0x00006BCB,0x3F579430,0x3E2FF9A0,0x00000000,0xD86EA5E7,0xBE3EB0BF
-data4  0x00006667,0x3F4CCCC8,0x3E647FD6,0x00000000,0x86B12760,0x3E2E6A8C
-data4  0x00006187,0x3F430C30,0x3E8B3AE7,0x00000000,0x5C0739BA,0x3E47574C
-data4  0x00005D18,0x3F3A2E88,0x3EA30C68,0x00000000,0x13E8AF2F,0x3E20E30F
-data4  0x0000590C,0x3F321640,0x3EB9CEC8,0x00000000,0xF2C630BD,0xBE42885B
-data4  0x00005556,0x3F2AAAA8,0x3ECF9927,0x00000000,0x97E577C6,0x3E497F34
-data4  0x000051EC,0x3F23D708,0x3EE47FC5,0x00000000,0xA6B0A5AB,0x3E3E6A6E
-data4  0x00004EC5,0x3F1D89D8,0x3EF8947D,0x00000000,0xD328D9BE,0xBDF43E3C
-data4  0x00004BDB,0x3F17B420,0x3F05F3A1,0x00000000,0x0ADB090A,0x3E4094C3
-data4  0x00004925,0x3F124920,0x3F0F4303,0x00000000,0xFC1FE510,0xBE28FBB2
-data4  0x0000469F,0x3F0D3DC8,0x3F183EBF,0x00000000,0x10FDE3FA,0x3E3A7895
-data4  0x00004445,0x3F088888,0x3F20EC80,0x00000000,0x7CC8C98F,0x3E508CE5
-data4  0x00004211,0x3F042108,0x3F29516A,0x00000000,0xA223106C,0xBE534874
-ASM_SIZE_DIRECTIVE(Constants_Z_G_H_h1)
- 
-// Z2 - 16 bit fixed, G2 and H2 - IEEE single 
-
-.align 64 
-Constants_Z_G_H_h2:
-ASM_TYPE_DIRECTIVE(Constants_Z_G_H_h2,@object)
-data4  0x00008000,0x3F800000,0x00000000,0x00000000,0x00000000,0x00000000
-data4  0x00007F81,0x3F7F00F8,0x3B7F875D,0x00000000,0x22C42273,0x3DB5A116
-data4  0x00007F02,0x3F7E03F8,0x3BFF015B,0x00000000,0x21F86ED3,0x3DE620CF
-data4  0x00007E85,0x3F7D08E0,0x3C3EE393,0x00000000,0x484F34ED,0xBDAFA07E
-data4  0x00007E08,0x3F7C0FC0,0x3C7E0586,0x00000000,0x3860BCF6,0xBDFE07F0
-data4  0x00007D8D,0x3F7B1880,0x3C9E75D2,0x00000000,0xA78093D6,0x3DEA370F
-data4  0x00007D12,0x3F7A2328,0x3CBDC97A,0x00000000,0x72A753D0,0x3DFF5791
-data4  0x00007C98,0x3F792FB0,0x3CDCFE47,0x00000000,0xA7EF896B,0x3DFEBE6C
-data4  0x00007C20,0x3F783E08,0x3CFC15D0,0x00000000,0x409ECB43,0x3E0CF156
-data4  0x00007BA8,0x3F774E38,0x3D0D874D,0x00000000,0xFFEF71DF,0xBE0B6F97
-data4  0x00007B31,0x3F766038,0x3D1CF49B,0x00000000,0x5D59EEE8,0xBE080483
-data4  0x00007ABB,0x3F757400,0x3D2C531D,0x00000000,0xA9192A74,0x3E1F91E9
-data4  0x00007A45,0x3F748988,0x3D3BA322,0x00000000,0xBF72A8CD,0xBE139A06
-data4  0x000079D1,0x3F73A0D0,0x3D4AE46F,0x00000000,0xF8FBA6CF,0x3E1D9202
-data4  0x0000795D,0x3F72B9D0,0x3D5A1756,0x00000000,0xBA796223,0xBE1DCCC4
-data4  0x000078EB,0x3F71D488,0x3D693B9D,0x00000000,0xB6B7C239,0xBE049391
-ASM_SIZE_DIRECTIVE(Constants_Z_G_H_h2)
- 
-// G3 and H3 - IEEE single and h3 -IEEE double 
-
-.align 64 
-Constants_Z_G_H_h3:
-ASM_TYPE_DIRECTIVE(Constants_Z_G_H_h3,@object)
-data4  0x3F7FFC00,0x38800100,0x562224CD,0x3D355595
-data4  0x3F7FF400,0x39400480,0x06136FF6,0x3D8200A2
-data4  0x3F7FEC00,0x39A00640,0xE8DE9AF0,0x3DA4D68D
-data4  0x3F7FE400,0x39E00C41,0xB10238DC,0xBD8B4291
-data4  0x3F7FDC00,0x3A100A21,0x3B1952CA,0xBD89CCB8
-data4  0x3F7FD400,0x3A300F22,0x1DC46826,0xBDB10707
-data4  0x3F7FCC08,0x3A4FF51C,0xF43307DB,0x3DB6FCB9
-data4  0x3F7FC408,0x3A6FFC1D,0x62DC7872,0xBD9B7C47
-data4  0x3F7FBC10,0x3A87F20B,0x3F89154A,0xBDC3725E
-data4  0x3F7FB410,0x3A97F68B,0x62B9D392,0xBD93519D
-data4  0x3F7FAC18,0x3AA7EB86,0x0F21BD9D,0x3DC18441
-data4  0x3F7FA420,0x3AB7E101,0x2245E0A6,0xBDA64B95
-data4  0x3F7F9C20,0x3AC7E701,0xAABB34B8,0x3DB4B0EC
-data4  0x3F7F9428,0x3AD7DD7B,0x6DC40A7E,0x3D992337
-data4  0x3F7F8C30,0x3AE7D474,0x4F2083D3,0x3DC6E17B
-data4  0x3F7F8438,0x3AF7CBED,0x811D4394,0x3DAE314B
-data4  0x3F7F7C40,0x3B03E1F3,0xB08F2DB1,0xBDD46F21
-data4  0x3F7F7448,0x3B0BDE2F,0x6D34522B,0xBDDC30A4
-data4  0x3F7F6C50,0x3B13DAAA,0xB1F473DB,0x3DCB0070
-data4  0x3F7F6458,0x3B1BD766,0x6AD282FD,0xBDD65DDC
-data4  0x3F7F5C68,0x3B23CC5C,0xF153761A,0xBDCDAB83
-data4  0x3F7F5470,0x3B2BC997,0x341D0F8F,0xBDDADA40
-data4  0x3F7F4C78,0x3B33C711,0xEBC394E8,0x3DCD1BD7
-data4  0x3F7F4488,0x3B3BBCC6,0x52E3E695,0xBDC3532B
-data4  0x3F7F3C90,0x3B43BAC0,0xE846B3DE,0xBDA3961E
-data4  0x3F7F34A0,0x3B4BB0F4,0x785778D4,0xBDDADF06
-data4  0x3F7F2CA8,0x3B53AF6D,0xE55CE212,0x3DCC3ED1
-data4  0x3F7F24B8,0x3B5BA620,0x9E382C15,0xBDBA3103
-data4  0x3F7F1CC8,0x3B639D12,0x5C5AF197,0x3D635A0B
-data4  0x3F7F14D8,0x3B6B9444,0x71D34EFC,0xBDDCCB19
-data4  0x3F7F0CE0,0x3B7393BC,0x52CD7ADA,0x3DC74502
-data4  0x3F7F04F0,0x3B7B8B6D,0x7D7F2A42,0xBDB68F17
-ASM_SIZE_DIRECTIVE(Constants_Z_G_H_h3)
+LOCAL_OBJECT_START(Constants_Q)
+//data4  0x00000000,0xB1721800,0x00003FFE,0x00000000 
+//data4  0x4361C4C6,0x82E30865,0x0000BFE2,0x00000000
+//data4  0x328833CB,0xCCCCCAF2,0x00003FFC,0x00000000
+//data4  0xA9D4BAFB,0x80000077,0x0000BFFD,0x00000000
+//data4  0xAAABE3D2,0xAAAAAAAA,0x00003FFD,0x00000000
+//data4  0xFFFFDAB7,0xFFFFFFFF,0x0000BFFD,0x00000000 
+data8  0xB172180000000000,0x00003FFE
+data8  0x82E308654361C4C6,0x0000BFE2
+data8  0xCCCCCAF2328833CB,0x00003FFC
+data8  0x80000077A9D4BAFB,0x0000BFFD
+data8  0xAAAAAAAAAAABE3D2,0x00003FFD
+data8  0xFFFFFFFFFFFFDAB7,0x0000BFFD
+LOCAL_OBJECT_END(Constants_Q)
+
+// 1/ln10_hi, 1/ln10_lo
+
+LOCAL_OBJECT_START(Constants_1_by_LN10)
+//data4  0x37287195,0xDE5BD8A9,0x00003FFD,0x00000000
+//data4  0xACCF70C8,0xD56EAABE,0x00003FBB,0x00000000
+data8  0xDE5BD8A937287195,0x00003FFD
+data8  0xD56EAABEACCF70C8,0x00003FBB
+LOCAL_OBJECT_END(Constants_1_by_LN10)
+
+
+// Z1 - 16 bit fixed
  
-// 
-//  Exponent Thresholds and Tiny Thresholds
-//  for 8, 11, 15, and 17 bit exponents
-// 
-//  Expo_Range             Value
-// 
-//  0 (8  bits)            2^(-126)
-//  1 (11 bits)            2^(-1022)
-//  2 (15 bits)            2^(-16382)
-//  3 (17 bits)            2^(-16382)
-// 
-//  Tiny_Table
-//  ----------
-//  Expo_Range             Value
-// 
-//  0 (8  bits)            2^(-16382)
-//  1 (11 bits)            2^(-16382)
-//  2 (15 bits)            2^(-16382)
-//  3 (17 bits)            2^(-16382)
-// 
+LOCAL_OBJECT_START(Constants_Z_1)
+data4  0x00008000
+data4  0x00007879
+data4  0x000071C8
+data4  0x00006BCB
+data4  0x00006667
+data4  0x00006187
+data4  0x00005D18
+data4  0x0000590C
+data4  0x00005556
+data4  0x000051EC
+data4  0x00004EC5
+data4  0x00004BDB
+data4  0x00004925
+data4  0x0000469F
+data4  0x00004445
+data4  0x00004211
+LOCAL_OBJECT_END(Constants_Z_1)
 
-.align 64 
-Constants_Threshold:
-ASM_TYPE_DIRECTIVE(Constants_Threshold,@object)
-data4  0x00000000,0x80000000,0x00003F81,0x00000000
-data4  0x00000000,0x80000000,0x00000001,0x00000000
-data4  0x00000000,0x80000000,0x00003C01,0x00000000
-data4  0x00000000,0x80000000,0x00000001,0x00000000
-data4  0x00000000,0x80000000,0x00000001,0x00000000
-data4  0x00000000,0x80000000,0x00000001,0x00000000
-data4  0x00000000,0x80000000,0x00000001,0x00000000
-data4  0x00000000,0x80000000,0x00000001,0x00000000
-ASM_SIZE_DIRECTIVE(Constants_Threshold)
+// G1 and H1 - IEEE single and h1 - IEEE double
 
-.align 64
-Constants_1_by_LN10:
-ASM_TYPE_DIRECTIVE(Constants_1_by_LN10,@object)
-data4  0x37287195,0xDE5BD8A9,0x00003FFD,0x00000000
-data4  0xACCF70C8,0xD56EAABE,0x00003FBB,0x00000000
-ASM_SIZE_DIRECTIVE(Constants_1_by_LN10)
-
-FR_Input_X = f8 
-FR_Neg_One = f9
-FR_E       = f33
-FR_Em1     = f34
-FR_Y_hi    = f34  
-// Shared with Em1
-FR_Y_lo    = f35
-FR_Scale   = f36
-FR_X_Prime = f37 
-FR_Z       = f38 
-FR_S_hi    = f38  
-// Shared with Z  
-FR_W       = f39
-FR_G       = f40
-FR_wsq     = f40 
-// Shared with G 
-FR_H       = f41
-FR_w4      = f41
-// Shared with H  
-FR_h       = f42
-FR_w6      = f42  
-// Shared with h     
-FR_G_tmp   = f43
-FR_poly_lo = f43
-// Shared with G_tmp 
-FR_P8      = f43  
-// Shared with G_tmp 
-FR_H_tmp   = f44
-FR_poly_hi = f44
-  // Shared with H_tmp
-FR_P7      = f44  
-// Shared with H_tmp
-FR_h_tmp   = f45 
-FR_rsq     = f45  
-// Shared with h_tmp
-FR_P6      = f45
-// Shared with h_tmp
-FR_abs_W   = f46
-FR_r       = f46  
-// Shared with abs_W  
-FR_AA      = f47 
-FR_log2_hi = f47  
-// Shared with AA  
-FR_BB          = f48
-FR_log2_lo     = f48  
-// Shared with BB  
-FR_S_lo        = f49 
-FR_two_negN    = f50  
-FR_float_N     = f51 
-FR_Q4          = f52 
-FR_dummy       = f52  
-// Shared with Q4
-FR_P4          = f52  
-// Shared with Q4
-FR_Threshold    = f52
-// Shared with Q4
-FR_Q3          = f53  
-FR_P3          = f53  
-// Shared with Q3
-FR_Tiny        = f53  
-// Shared with Q3
-FR_Q2          = f54 
-FR_P2          = f54  
-// Shared with Q2
-FR_1LN10_hi     = f54 
-// Shared with Q2
-FR_Q1           = f55 
-FR_P1           = f55 
-// Shared with Q1 
-FR_1LN10_lo     = f55 
-// Shared with Q1 
-FR_P5           = f98 
-FR_SCALE        = f98 
-FR_Output_X_tmp = f99 
-
-GR_Expo_Range   = r32
-GR_Table_Base   = r34
-GR_Table_Base1  = r35
-GR_Table_ptr    = r36 
-GR_Index2       = r37 
-GR_signif       = r38 
-GR_X_0          = r39 
-GR_X_1          = r40 
-GR_X_2          = r41 
-GR_Z_1          = r42 
-GR_Z_2          = r43 
-GR_N            = r44 
-GR_Bias         = r45 
-GR_M            = r46 
-GR_ScaleN       = r47  
-GR_Index3       = r48 
-GR_Perturb      = r49 
-GR_Table_Scale  = r50 
+LOCAL_OBJECT_START(Constants_G_H_h1)
+data4  0x3F800000,0x00000000
+data8  0x0000000000000000
+data4  0x3F70F0F0,0x3D785196
+data8  0x3DA163A6617D741C
+data4  0x3F638E38,0x3DF13843
+data8  0x3E2C55E6CBD3D5BB
+data4  0x3F579430,0x3E2FF9A0
+data8  0xBE3EB0BFD86EA5E7
+data4  0x3F4CCCC8,0x3E647FD6
+data8  0x3E2E6A8C86B12760
+data4  0x3F430C30,0x3E8B3AE7
+data8  0x3E47574C5C0739BA
+data4  0x3F3A2E88,0x3EA30C68
+data8  0x3E20E30F13E8AF2F
+data4  0x3F321640,0x3EB9CEC8
+data8  0xBE42885BF2C630BD
+data4  0x3F2AAAA8,0x3ECF9927
+data8  0x3E497F3497E577C6
+data4  0x3F23D708,0x3EE47FC5
+data8  0x3E3E6A6EA6B0A5AB
+data4  0x3F1D89D8,0x3EF8947D
+data8  0xBDF43E3CD328D9BE
+data4  0x3F17B420,0x3F05F3A1
+data8  0x3E4094C30ADB090A
+data4  0x3F124920,0x3F0F4303
+data8  0xBE28FBB2FC1FE510
+data4  0x3F0D3DC8,0x3F183EBF
+data8  0x3E3A789510FDE3FA
+data4  0x3F088888,0x3F20EC80
+data8  0x3E508CE57CC8C98F
+data4  0x3F042108,0x3F29516A
+data8  0xBE534874A223106C
+LOCAL_OBJECT_END(Constants_G_H_h1)
 
-//
-// Added for unwind support
-//
+// Z2 - 16 bit fixed
+
+LOCAL_OBJECT_START(Constants_Z_2)
+data4  0x00008000
+data4  0x00007F81
+data4  0x00007F02
+data4  0x00007E85
+data4  0x00007E08
+data4  0x00007D8D
+data4  0x00007D12
+data4  0x00007C98
+data4  0x00007C20
+data4  0x00007BA8
+data4  0x00007B31
+data4  0x00007ABB
+data4  0x00007A45
+data4  0x000079D1
+data4  0x0000795D
+data4  0x000078EB
+LOCAL_OBJECT_END(Constants_Z_2)
+
+// G2 and H2 - IEEE single and h2 - IEEE double
+
+LOCAL_OBJECT_START(Constants_G_H_h2)
+data4  0x3F800000,0x00000000
+data8  0x0000000000000000
+data4  0x3F7F00F8,0x3B7F875D
+data8  0x3DB5A11622C42273
+data4  0x3F7E03F8,0x3BFF015B
+data8  0x3DE620CF21F86ED3
+data4  0x3F7D08E0,0x3C3EE393
+data8  0xBDAFA07E484F34ED
+data4  0x3F7C0FC0,0x3C7E0586
+data8  0xBDFE07F03860BCF6
+data4  0x3F7B1880,0x3C9E75D2
+data8  0x3DEA370FA78093D6
+data4  0x3F7A2328,0x3CBDC97A
+data8  0x3DFF579172A753D0
+data4  0x3F792FB0,0x3CDCFE47
+data8  0x3DFEBE6CA7EF896B
+data4  0x3F783E08,0x3CFC15D0
+data8  0x3E0CF156409ECB43
+data4  0x3F774E38,0x3D0D874D
+data8  0xBE0B6F97FFEF71DF
+data4  0x3F766038,0x3D1CF49B
+data8  0xBE0804835D59EEE8
+data4  0x3F757400,0x3D2C531D
+data8  0x3E1F91E9A9192A74
+data4  0x3F748988,0x3D3BA322
+data8  0xBE139A06BF72A8CD
+data4  0x3F73A0D0,0x3D4AE46F
+data8  0x3E1D9202F8FBA6CF
+data4  0x3F72B9D0,0x3D5A1756
+data8  0xBE1DCCC4BA796223
+data4  0x3F71D488,0x3D693B9D
+data8  0xBE049391B6B7C239
+LOCAL_OBJECT_END(Constants_G_H_h2)
+
+// G3 and H3 - IEEE single and h3 - IEEE double 
+
+LOCAL_OBJECT_START(Constants_G_H_h3)
+data4  0x3F7FFC00,0x38800100
+data8  0x3D355595562224CD
+data4  0x3F7FF400,0x39400480
+data8  0x3D8200A206136FF6
+data4  0x3F7FEC00,0x39A00640
+data8  0x3DA4D68DE8DE9AF0
+data4  0x3F7FE400,0x39E00C41
+data8  0xBD8B4291B10238DC
+data4  0x3F7FDC00,0x3A100A21
+data8  0xBD89CCB83B1952CA
+data4  0x3F7FD400,0x3A300F22
+data8  0xBDB107071DC46826
+data4  0x3F7FCC08,0x3A4FF51C
+data8  0x3DB6FCB9F43307DB
+data4  0x3F7FC408,0x3A6FFC1D
+data8  0xBD9B7C4762DC7872
+data4  0x3F7FBC10,0x3A87F20B
+data8  0xBDC3725E3F89154A
+data4  0x3F7FB410,0x3A97F68B
+data8  0xBD93519D62B9D392
+data4  0x3F7FAC18,0x3AA7EB86
+data8  0x3DC184410F21BD9D
+data4  0x3F7FA420,0x3AB7E101
+data8  0xBDA64B952245E0A6
+data4  0x3F7F9C20,0x3AC7E701
+data8  0x3DB4B0ECAABB34B8
+data4  0x3F7F9428,0x3AD7DD7B
+data8  0x3D9923376DC40A7E
+data4  0x3F7F8C30,0x3AE7D474
+data8  0x3DC6E17B4F2083D3
+data4  0x3F7F8438,0x3AF7CBED
+data8  0x3DAE314B811D4394
+data4  0x3F7F7C40,0x3B03E1F3
+data8  0xBDD46F21B08F2DB1
+data4  0x3F7F7448,0x3B0BDE2F
+data8  0xBDDC30A46D34522B
+data4  0x3F7F6C50,0x3B13DAAA
+data8  0x3DCB0070B1F473DB
+data4  0x3F7F6458,0x3B1BD766
+data8  0xBDD65DDC6AD282FD
+data4  0x3F7F5C68,0x3B23CC5C
+data8  0xBDCDAB83F153761A
+data4  0x3F7F5470,0x3B2BC997
+data8  0xBDDADA40341D0F8F
+data4  0x3F7F4C78,0x3B33C711
+data8  0x3DCD1BD7EBC394E8
+data4  0x3F7F4488,0x3B3BBCC6
+data8  0xBDC3532B52E3E695
+data4  0x3F7F3C90,0x3B43BAC0
+data8  0xBDA3961EE846B3DE
+data4  0x3F7F34A0,0x3B4BB0F4
+data8  0xBDDADF06785778D4
+data4  0x3F7F2CA8,0x3B53AF6D
+data8  0x3DCC3ED1E55CE212
+data4  0x3F7F24B8,0x3B5BA620
+data8  0xBDBA31039E382C15
+data4  0x3F7F1CC8,0x3B639D12
+data8  0x3D635A0B5C5AF197
+data4  0x3F7F14D8,0x3B6B9444
+data8  0xBDDCCB1971D34EFC
+data4  0x3F7F0CE0,0x3B7393BC
+data8  0x3DC7450252CD7ADA
+data4  0x3F7F04F0,0x3B7B8B6D
+data8  0xBDB68F177D7F2A42
+LOCAL_OBJECT_END(Constants_G_H_h3)
 
-GR_SAVE_PFS         = r51
-GR_SAVE_B0          = r52
-GR_SAVE_GP          = r53
-GR_Parameter_X      = r54
-GR_Parameter_Y      = r55
-GR_Parameter_RESULT = r56
-GR_Parameter_TAG    = r57
+
+// Floating Point Registers
+
+FR_Input_X      = f8 
+
+FR_Y_hi         = f34  
+FR_Y_lo         = f35
+
+FR_Scale        = f36
+FR_X_Prime      = f37 
+FR_S_hi         = f38  
+FR_W            = f39
+FR_G            = f40
+
+FR_H            = f41
+FR_wsq          = f42 
+FR_w4           = f43
+FR_h            = f44
+FR_w6           = f45  
+
+FR_G2           = f46
+FR_H2           = f47
+FR_poly_lo      = f48
+FR_P8           = f49  
+FR_poly_hi      = f50
+
+FR_P7           = f51  
+FR_h2           = f52 
+FR_rsq          = f53  
+FR_P6           = f54
+FR_r            = f55  
+
+FR_log2_hi      = f56  
+FR_log2_lo      = f57  
+FR_p87          = f58  
+FR_p876         = f58  
+FR_p8765        = f58  
+FR_float_N      = f59 
+FR_Q4           = f60 
+
+FR_p43          = f61  
+FR_p432         = f61  
+FR_p4321        = f61  
+FR_P4           = f62  
+FR_G3           = f63  
+FR_H3           = f64  
+FR_h3           = f65  
+
+FR_Q3           = f66  
+FR_P3           = f67  
+FR_Q2           = f68 
+FR_P2           = f69  
+FR_1LN10_hi     = f70 
+
+FR_Q1           = f71 
+FR_P1           = f72 
+FR_1LN10_lo     = f73 
+FR_P5           = f74 
+FR_rcub         = f75 
+
+FR_Output_X_tmp = f76 
+FR_Neg_One      = f77 
+FR_Z            = f78 
+FR_AA           = f79 
+FR_BB           = f80 
+FR_S_lo         = f81 
+FR_2_to_minus_N = f82 
 
 FR_X                = f8
 FR_Y                = f0
-FR_RESULT           = f99
+FR_RESULT           = f76
 
-.section .text
-.proc logl#
-.global logl#
-.align 64 
-logl:
-#ifdef _LIBC
-.global __ieee754_logl
-__ieee754_logl:
-#endif 
-{ .mfi
-alloc r32 = ar.pfs,0,22,4,0
-(p0)  fnorm.s1 FR_X_Prime = FR_Input_X 
-(p0)  cmp.eq.unc  p7, p0 = r0, r0 
-}
-{ .mfi
-(p0)  cmp.ne.unc  p14, p0 = r0, r0 
-(p0)  fclass.m.unc p6, p0 =  FR_Input_X, 0x1E3 
-(p0)  cmp.ne.unc  p15, p0 = r0, r0 ;; 
-}
-{ .mfi
- nop.m 0
-(p0)  fclass.nm.unc p10, p0 =  FR_Input_X, 0x1FF 
- nop.i 0
-}
-{ .mfi
-nop.m 999
-(p0)  fcmp.eq.unc.s1 p8, p0 =  FR_Input_X, f0 
- nop.i 0
-}
-{ .mfi
-	nop.m 999
-(p0)  fcmp.lt.unc.s1 p13, p0 =  FR_Input_X, f0 
- nop.i 0
-}
-{ .mfi
-	nop.m 999
-(p0)  fcmp.eq.unc.s1 p9, p0 =  FR_Input_X, f1 
-	nop.i 999 ;;
-}
-{ .mfi
-	nop.m 999
-(p0)  fsub.s1 FR_Em1 = f0,f1 
-	nop.i 999
-}
-{ .mfb
-	nop.m 999
-(p0)  fadd FR_E = f0,f0 
-//     
-//    Create E = 0 and Em1 = -1 
-//    Check for X == 1, meaning logl(1)
-//    Check for X < 0, meaning logl(negative)
-//    Check for X == 0, meaning logl(0)
-//    Identify NatVals, NaNs, Infs. 
-//    Identify EM unsupporteds. 
-//    Identify Negative values - us S1 so as
-//    not to raise denormal operand exception 
-//    Set p15 to false for log
-//    Set p14 to false for log
-//    Set p7 true for log and log1p
-//    
-(p0)  br.cond.sptk L(LOGL_BEGIN) ;; 
-}
 
-.endp logl
-ASM_SIZE_DIRECTIVE(logl)
+// General Purpose Registers
 
-.section .text
-.proc log10l#
-.global log10l#
-.align 64 
-log10l:
-#ifdef _LIBC
-.global __ieee754_log10l
-__ieee754_log10l:
-#endif
-{ .mfi
-alloc r32 = ar.pfs,0,22,4,0
-(p0)  fadd FR_E = f0,f0 
-      nop.i 0
-}
-{ .mfi
-      nop.m 0
-(p0)  fsub.s1 FR_Em1 = f0,f1 
-      nop.i 0
-}
-{ .mfi
-(p0)  cmp.ne.unc  p15, p0 = r0, r0 
-(p0)  fcmp.eq.unc.s1 p9, p0 =  FR_Input_X, f1 
-      nop.i 0
-}
-{ .mfi
-(p0)  cmp.eq.unc  p14, p0 = r0, r0 
-(p0)  fcmp.lt.unc.s1 p13, p0 =  FR_Input_X, f0 
-(p0)  cmp.ne.unc  p7, p0 = r0, r0 ;; 
-}
-{ .mfi
-	nop.m 999
-(p0)  fcmp.eq.unc.s1 p8, p0 =  FR_Input_X, f0 
-	nop.i 999
-}
-{ .mfi
-	nop.m 999
-(p0)  fclass.nm.unc p10, p0 =  FR_Input_X, 0x1FF 
-	nop.i 999 ;;
-}
-{ .mfi
-	nop.m 999
-(p0)  fclass.m.unc p6, p0 =  FR_Input_X, 0x1E3 
-	nop.i 999
-}
-{ .mfb
-	nop.m 999
-(p0)  fnorm.s1 FR_X_Prime = FR_Input_X 
-//     
-//    Create E = 0 and Em1 = -1 
-//    Check for X == 1, meaning logl(1)
-//    Check for X < 0, meaning logl(negative)
-//    Check for X == 0, meaning logl(0)
-//    Identify NatVals, NaNs, Infs. 
-//    Identify EM unsupporteds. 
-//    Identify Negative values - us S1 so as
-//    Identify Negative values - us S1 so as
-//    not to raise denormal operand exception 
-//    Set p15 to false for log10
-//    Set p14 to true for log10
-//    Set p7 to false for log10
-//    
-(p0)  br.cond.sptk L(LOGL_BEGIN) ;; 
-}
+GR_ad_p         = r33
+GR_Index1       = r34 
+GR_Index2       = r35 
+GR_signif       = r36 
+GR_X_0          = r37 
+GR_X_1          = r38 
+GR_X_2          = r39 
+GR_minus_N      = r39
+GR_Z_1          = r40 
+GR_Z_2          = r41 
+GR_N            = r42 
+GR_Bias         = r43 
+GR_M            = r44 
+GR_Index3       = r45 
+GR_exp_2tom80   = r45 
+GR_ad_p2        = r46
+GR_exp_mask     = r47 
+GR_exp_2tom7    = r48 
+GR_ad_ln10      = r49 
+GR_ad_tbl_1     = r50
+GR_ad_tbl_2     = r51
+GR_ad_tbl_3     = r52
+GR_ad_q         = r53
+GR_ad_z_1       = r54
+GR_ad_z_2       = r55
+GR_ad_z_3       = r56
+GR_minus_N      = r39
+
+//
+// Added for unwind support
+//
 
-.endp log10l
-ASM_SIZE_DIRECTIVE(log10l)
+GR_SAVE_PFS         = r50
+GR_SAVE_B0          = r51
+GR_SAVE_GP          = r52
+GR_Parameter_X      = r53
+GR_Parameter_Y      = r54
+GR_Parameter_RESULT = r55
+GR_Parameter_TAG    = r56
 
 .section .text
-.proc log1pl#
-.global log1pl#
-.align 64 
-log1pl:
-#ifdef _LIBC
-.global __log1pl
-__log1pl:
-#endif
+GLOBAL_IEEE754_ENTRY(log1pl)
 { .mfi
-alloc r32 = ar.pfs,0,22,4,0
-(p0)  fsub.s1 FR_Neg_One = f0,f1 
-(p0)  cmp.eq.unc  p7, p0 = r0, r0 
-}
-{ .mfi
-(p0)  cmp.ne.unc  p14, p0 = r0, r0 
-(p0)  fnorm.s1 FR_X_Prime = FR_Input_X 
-(p0)  cmp.eq.unc  p15, p0 = r0, r0 ;; 
+      alloc r32 = ar.pfs,0,21,4,0
+      fclass.m p6, p0 =  FR_Input_X, 0x1E3  // Test for natval, nan, inf
+      nop.i 999
 }
 { .mfi
-      nop.m 0
-(p0)  fclass.m.unc p6, p0 =  FR_Input_X, 0x1E3 
-      nop.i 0
+      addl GR_ad_z_1 = @ltoff(Constants_Z_1#),gp
+      fma.s1 FR_Z = FR_Input_X, f1, f1      // x+1
+      nop.i 999
 }
+;;
+
 { .mfi
       nop.m 999
-(p0)  fclass.nm.unc p10, p0 =  FR_Input_X, 0x1FF 
-      nop.i 0
+      fmerge.ns FR_Neg_One = f1, f1         // Form -1.0
+      nop.i 999
 }
 { .mfi
       nop.m 999
-(p0)  fcmp.eq.unc.s1 p9, p0 =  FR_Input_X, f0 
-      nop.i 0 
+      fnorm.s1 FR_X_Prime = FR_Input_X      // Normalize x
+      nop.i 999
 }
+;;
+
 { .mfi
-      nop.m 999
-(p0)  fadd FR_Em1 = f0,f0 
-      nop.i 999 ;;
+      ld8    GR_ad_z_1 = [GR_ad_z_1]          // Get pointer to Constants_Z_1
+      nop.f 999
+      mov GR_exp_2tom7 = 0x0fff8              // Exponent of 2^-7
 }
-{ .mfi
-	nop.m 999
-(p0)  fadd FR_E = f0,f1 
-	nop.i 999 ;;
+;;
+
+{ .mfb
+      getf.sig GR_signif = FR_Z               // Get significand of x+1
+      fcmp.eq.s1 p9, p0 =  FR_Input_X, f0     // Test for x=0
+(p6)  br.cond.spnt LOG1P_special              // Branch for nan, inf, natval
 }
+;;
+
 { .mfi
-	nop.m 999
-(p0)  fcmp.eq.unc.s1 p8, p0 =  FR_Input_X, FR_Neg_One 
-	nop.i 999
+      add   GR_ad_tbl_1 = 0x040, GR_ad_z_1    // Point to Constants_G_H_h1
+      fcmp.lt.s1 p13, p0 =  FR_X_Prime, FR_Neg_One // Test for x<-1
+      add   GR_ad_p = -0x100, GR_ad_z_1       // Point to Constants_P
 }
 { .mfi
-	nop.m 999
-(p0)  fcmp.lt.unc.s1 p13, p0 =  FR_Input_X, FR_Neg_One 
-	nop.i 999
+      add   GR_ad_z_2 = 0x140, GR_ad_z_1      // Point to Constants_Z_2
+      nop.f 999
+      add   GR_ad_tbl_2 = 0x180, GR_ad_z_1    // Point to Constants_G_H_h2
 }
-L(LOGL_BEGIN): 
+;;
+
 { .mfi
-	nop.m 999
-(p0)  fadd.s1 FR_Z = FR_X_Prime, FR_E 
-	nop.i 999
-}
-{ .mlx
-	nop.m 999
-(p0)  movl GR_Table_Scale = 0x0000000000000018 ;; 
+      add   GR_ad_q = 0x080, GR_ad_p          // Point to Constants_Q
+      fcmp.eq.s1 p8, p0 =  FR_X_Prime, FR_Neg_One // Test for x=-1
+      extr.u GR_Index1 = GR_signif, 59, 4     // Get high 4 bits of signif
 }
-{ .mmi
-	nop.m 999
-	nop.m 999
-//     
-//    Create E = 1 and Em1 = 0 
-//    Check for X == 0, meaning logl(1+0)
-//    Check for X < -1, meaning logl(negative)
-//    Check for X == -1, meaning logl(0)
-//    Normalize x 
-//    Identify NatVals, NaNs, Infs. 
-//    Identify EM unsupporteds. 
-//    Identify Negative values - us S1 so as
-//    not to raise denormal operand exception 
-//    Set p15 to true for log1p
-//    Set p14 to false for log1p
-//    Set p7 true for log and log1p
-//    
-(p0)  addl GR_Table_Base = @ltoff(Constants_Z_G_H_h1#),gp
+{ .mfb
+      add   GR_ad_tbl_3 = 0x280, GR_ad_z_1    // Point to Constants_G_H_h3
+      nop.f 999
+(p9)  br.ret.spnt  b0                         // Exit if x=0, return input
 }
+;;
+
 { .mfi
-      nop.m 999
-(p0)  fmax.s1 FR_AA = FR_X_Prime, FR_E 
-      nop.i 999 ;;
+      shladd GR_ad_z_1 = GR_Index1, 2, GR_ad_z_1  // Point to Z_1
+      fclass.nm p10, p0 =  FR_Input_X, 0x1FF  // Test for unsupported
+      extr.u GR_X_0 = GR_signif, 49, 15       // Get high 15 bits of significand
 }
 { .mfi
-      ld8    GR_Table_Base = [GR_Table_Base]
-(p0)  fmin.s1 FR_BB = FR_X_Prime, FR_E 
-      nop.i 999
-}
-{ .mfb
-      nop.m 999
-(p0)  fadd.s1 FR_W = FR_X_Prime, FR_Em1 
-//     
-//    Begin load of constants base
-//    FR_Z = Z = |x| + E 
-//    FR_W = W = |x| + Em1
-//    AA = fmax(|x|,E)
-//    BB = fmin(|x|,E)
-//
-(p6)  br.cond.spnt L(LOGL_64_special) ;; 
+      ldfe FR_P8 = [GR_ad_p],16               // Load P_8 for near1 path
+      fsub.s1 FR_W = FR_X_Prime, f0           // W = x
+      add   GR_ad_ln10 = 0x060, GR_ad_q       // Point to Constants_1_by_LN10
 }
-{ .mib
-	nop.m 999
-	nop.i 999
-(p10) br.cond.spnt L(LOGL_64_unsupported) ;; 
+;;
+
+{ .mfi
+      ld4 GR_Z_1 = [GR_ad_z_1]                // Load Z_1
+      fmax.s1  FR_AA = FR_X_Prime, f1         // For S_lo, form AA = max(X,1.0)
+      mov GR_exp_mask = 0x1FFFF               // Create exponent mask
 }
 { .mib
-	nop.m 999
-	nop.i 999
-(p13) br.cond.spnt L(LOGL_64_negative) ;; 
+      shladd GR_ad_tbl_1 = GR_Index1, 4, GR_ad_tbl_1  // Point to G_1
+      mov GR_Bias = 0x0FFFF                   // Create exponent bias
+(p13) br.cond.spnt LOG1P_LT_Minus_1           // Branch if x<-1
 }
-{ .mib
-(p0)  getf.sig GR_signif = FR_Z 
-	nop.i 999
-(p9)  br.cond.spnt L(LOGL_64_one) ;; 
+;;
+
+{ .mfb
+      ldfps  FR_G, FR_H = [GR_ad_tbl_1],8     // Load G_1, H_1
+      fmerge.se FR_S_hi =  f1,FR_Z            // Form |x+1|
+(p8)  br.cond.spnt LOG1P_EQ_Minus_1           // Branch if x=-1
 }
-{ .mib
-	nop.m 999
-	nop.i 999
-(p8)  br.cond.spnt L(LOGL_64_zero) ;; 
+;;
+
+{ .mmb
+      getf.exp GR_N =  FR_Z                   // Get N = exponent of x+1
+      ldfd  FR_h = [GR_ad_tbl_1]              // Load h_1
+(p10) br.cond.spnt LOG1P_unsupported          // Branch for unsupported type
 }
+;;
+
 { .mfi
-(p0)  getf.exp GR_N =  FR_Z 
-//   
-//    Raise possible denormal operand exception 
-//    Create Bias
-// 
-//    This function computes ln( x + e ) 
-//    Input  FR 1: FR_X   = FR_Input_X          
-//    Input  FR 2: FR_E   = FR_E
-//    Input  FR 3: FR_Em1 = FR_Em1 
-//    Input  GR 1: GR_Expo_Range = GR_Expo_Range = 1
-//    Output FR 4: FR_Y_hi  
-//    Output FR 5: FR_Y_lo  
-//    Output FR 6: FR_Scale  
-//    Output PR 7: PR_Safe  
-//
-(p0)  fsub.s1 FR_S_lo = FR_AA, FR_Z 
+      ldfe FR_log2_hi = [GR_ad_q],16          // Load log2_hi
+      fcmp.eq.s0 p8, p0 =  FR_Input_X, f0     // Dummy op to flag denormals
+      pmpyshr2.u GR_X_1 = GR_X_0,GR_Z_1,15    // Get bits 30-15 of X_0 * Z_1
+}
+;;
+
 //
-//    signif = getf.sig(Z)
-//    abs_W = fabs(w)
+//    For performance, don't use result of pmpyshr2.u for 4 cycles.
 //
-(p0)  extr.u GR_Table_ptr = GR_signif, 59, 4 ;; 
-}
-{ .mfi
-	nop.m 999
-(p0)  fmerge.se FR_S_hi =  f1,FR_Z 
-(p0)  extr.u GR_X_0 = GR_signif, 49, 15  
-}
 { .mmi
-       nop.m 999
-       nop.m 999
-(p0)  addl GR_Table_Base1 = @ltoff(Constants_Z_G_H_h2#),gp ;; 
-}
-{ .mlx
-      ld8    GR_Table_Base1 = [GR_Table_Base1]
-(p0)  movl GR_Bias = 0x000000000000FFFF ;; 
-}
-{ .mfi
-	nop.m 999
-(p0)  fabs FR_abs_W =  FR_W 
-(p0)  pmpyshr2.u GR_Table_ptr = GR_Table_ptr,GR_Table_Scale,0 
-}
-{ .mfi
-	nop.m 999
-//    
-//    Branch out for special input values 
-//    
-(p0)  fcmp.lt.unc.s0 p8, p0 =  FR_Input_X, f0 
-	nop.i 999 ;;
+      ldfe FR_log2_lo = [GR_ad_q],16          // Load log2_lo
+      sub GR_N = GR_N, GR_Bias 
+      mov GR_exp_2tom80 = 0x0ffaf             // Exponent of 2^-80
 }
+;;
+
 { .mfi
-	nop.m 999
-//
-//    X_0 = extr.u(signif,49,15)
-//    Index1 = extr.u(signif,59,4)
-//
-(p0)  fadd.s1 FR_S_lo = FR_S_lo, FR_BB 
-	nop.i 999 ;;
+      ldfe FR_Q4 = [GR_ad_q],16               // Load Q4
+      fms.s1  FR_S_lo = FR_AA, f1, FR_Z       // Form S_lo = AA - Z 
+      sub GR_minus_N = GR_Bias, GR_N          // Form exponent of 2^(-N)
 }
-{ .mii
-	nop.m 999
-	nop.i 999 ;;
-//
-//    Offset_to_Z1 = 24 * Index1
-//    For performance, don't use result
-//    for 3 or 4 cycles.
-//
-(p0)  add GR_Table_ptr = GR_Table_ptr, GR_Table_Base ;; 
+;;
+
+{ .mmf
+      ldfe FR_Q3 = [GR_ad_q],16               // Load Q3
+      setf.sig FR_float_N = GR_N   // Put integer N into rightmost significand
+      fmin.s1  FR_BB = FR_X_Prime, f1         // For S_lo, form BB = min(X,1.0)
 }
-//
-//    Add Base to Offset for Z1
-//    Create Bias
+;;
+
 { .mmi
-(p0)  ld4 GR_Z_1 = [GR_Table_ptr],4 ;; 
-(p0)  ldfs  FR_G = [GR_Table_ptr],4 
-	nop.i 999 ;;
+      getf.exp GR_M = FR_W                    // Get signexp of w = x
+      ldfe FR_Q2 = [GR_ad_q],16               // Load Q2
+      extr.u GR_Index2 = GR_X_1, 6, 4         // Extract bits 6-9 of X_1 
 }
+;;
+
 { .mmi
-(p0)  ldfs  FR_H = [GR_Table_ptr],8 ;; 
-(p0)  ldfd  FR_h = [GR_Table_ptr],0 
-(p0)  pmpyshr2.u GR_X_1 = GR_X_0,GR_Z_1,15 
-}
-//
-//    Load Z_1 
-//    Get Base of Table2 
-//
-{ .mfi
-(p0)  getf.exp GR_M = FR_abs_W 
-	nop.f 999
-	nop.i 999 ;;
-}
-{ .mii
-	nop.m 999
-	nop.i 999 ;;
-//
-//    M = getf.exp(abs_W)
-//    S_lo = AA - Z
-//    X_1 = pmpyshr2(X_0,Z_1,15)
-//
-(p0)  sub GR_M = GR_M, GR_Bias ;; 
-}
-//     
-//    M = M - Bias
-//    Load G1
-//    N = getf.exp(Z)
-//
-{ .mii
-(p0)  cmp.gt.unc  p11, p0 =  -80, GR_M 
-(p0)  cmp.gt.unc  p12, p0 =  -7, GR_M ;; 
-(p0)  extr.u GR_Index2 = GR_X_1, 6, 4 ;; 
-}
-{ .mib
-	nop.m 999
-//
-//    if -80 > M, set p11
-//    Index2 = extr.u(X_1,6,4)
-//    if -7  > M, set p12
-//    Load H1
-//
-(p0)  pmpyshr2.u GR_Index2 = GR_Index2,GR_Table_Scale,0 
-(p11) br.cond.spnt L(log1pl_small) ;; 
-}
-{ .mib
-      nop.m 999
-	nop.i 999
-(p12) br.cond.spnt L(log1pl_near) ;; 
-}
-{ .mii
-(p0)  sub GR_N = GR_N, GR_Bias 
-//
-//    poly_lo = r * poly_lo 
-//
-(p0)  add GR_Perturb = 0x1, r0 ;; 
-(p0)  sub GR_ScaleN = GR_Bias, GR_N  
-}
-{ .mii
-(p0)  setf.sig FR_float_N = GR_N 
-	nop.i 999 ;;
-//
-//    Prepare Index2 - pmpyshr2.u(X_1,Z_2,15)
-//    Load h1
-//    S_lo = S_lo + BB 
-//    Branch for -80 > M
-//   
-(p0)  add GR_Index2 = GR_Index2, GR_Table_Base1
+      ldfe FR_Q1 = [GR_ad_q]                  // Load Q1
+      shladd GR_ad_z_2 = GR_Index2, 2, GR_ad_z_2  // Point to Z_2
+      add GR_ad_p2  = 0x30,GR_ad_p            // Point to P_4
 }
+;;
+
 { .mmi
-(p0)  setf.exp FR_two_negN = GR_ScaleN 
-      nop.m 999
-(p0)  addl GR_Table_Base = @ltoff(Constants_Z_G_H_h3#),gp ;; 
+      ld4 GR_Z_2 = [GR_ad_z_2]                // Load Z_2
+      shladd GR_ad_tbl_2 = GR_Index2, 4, GR_ad_tbl_2  // Point to G_2
+      and GR_M = GR_exp_mask, GR_M            // Get exponent of w = x
 }
-//
-//    Index2 points to Z2
-//    Branch for -7 > M
-//
-{ .mmb
-(p0)  ld4 GR_Z_2 = [GR_Index2],4 
-(p0)  ld8 GR_Table_Base = [GR_Table_Base] 
-	nop.b 999 ;;
-}
-(p0)  nop.i 999
-//
-//    Load Z_2
-//    N = N - Bias
-//    Tablebase points to Table3
-//
+;;
+
 { .mmi
-(p0)  ldfs  FR_G_tmp = [GR_Index2],4 ;; 
-//
-//    Load G_2
-//    pmpyshr2  X_2= (X_1,Z_2,15)
-//    float_N = setf.sig(N)
-//    ScaleN = Bias - N
-//
-(p0)  ldfs  FR_H_tmp = [GR_Index2],8 
-	nop.i 999 ;;
+      ldfps  FR_G2, FR_H2 = [GR_ad_tbl_2],8   // Load G_2, H_2
+      cmp.lt  p8, p9 =  GR_M, GR_exp_2tom7    // Test |x| < 2^-7
+      cmp.lt  p7, p0 =  GR_M, GR_exp_2tom80   // Test |x| < 2^-80
 }
-//
-//    Load H_2
-//    two_negN = setf.exp(scaleN)
-//    G = G_1 * G_2
-//
+;;
+
+// Small path is separate code
+//  p7 is for the small path: |x| < 2^-80
+// near1 and regular paths are merged.
+//  p8 is for the near1 path: |x| < 2^-7
+//  p9 is for regular path:   |x| >= 2^-7
+
 { .mfi
-(p0)  ldfd  FR_h_tmp = [GR_Index2],0 
-	nop.f 999
-(p0)  pmpyshr2.u GR_X_2 = GR_X_1,GR_Z_2,15 ;; 
+      ldfd  FR_h2 = [GR_ad_tbl_2]             // Load h_2
+      nop.f 999
+      nop.i 999
 }
-{ .mii
-	nop.m 999
-(p0)  extr.u GR_Index3 = GR_X_2, 1, 5 ;; 
-//
-//    Load h_2
-//    H = H_1 + H_2 
-//    h = h_1 + h_2 
-//    Index3 = extr.u(X_2,1,5)
-//
-(p0)  shladd GR_Index3 = GR_Index3,4,GR_Table_Base 
+{ .mfb
+(p9)  setf.exp FR_2_to_minus_N = GR_minus_N   // Form 2^(-N)
+(p7)  fnma.s0  f8 = FR_X_Prime, FR_X_Prime, FR_X_Prime // Result x - x*x
+(p7)  br.ret.spnt  b0                         // Branch if |x| < 2^-80
 }
+;;
+
 { .mmi
-	nop.m 999
-	nop.m 999
-//
-//    float_N = fcvt.xf(float_N)
-//    load G3
-//
-(p0)  addl GR_Table_Base = @ltoff(Constants_Q#),gp ;; 
+(p8)  ldfe FR_P7 = [GR_ad_p],16               // Load P_7 for near1 path
+(p8)  ldfe FR_P4 = [GR_ad_p2],16              // Load P_4 for near1 path
+(p9)  pmpyshr2.u GR_X_2 = GR_X_1,GR_Z_2,15    // Get bits 30-15 of X_1 * Z_2
 }
-{ .mmi
-      nop.m 999
-      ld8    GR_Table_Base = [GR_Table_Base]
-      nop.i 999
-};;
+;;
 
-{ .mfi
-(p0)  ldfe FR_log2_hi = [GR_Table_Base],16 
-(p0)  fmpy.s1 FR_S_lo = FR_S_lo, FR_two_negN 
-	nop.i 999 ;;
-}
-{ .mmf
-	nop.m 999
 //
-//    G = G3 * G
-//    Load h3
-//    Load log2_hi
-//    H = H + H3
+//    For performance, don't use result of pmpyshr2.u for 4 cycles.
 //
-(p0)  ldfe FR_log2_lo = [GR_Table_Base],16 
-(p0)  fmpy.s1 FR_G = FR_G, FR_G_tmp ;; 
-}
 { .mmf
-(p0)  ldfs  FR_G_tmp = [GR_Index3],4 
-//
-//    h = h + h3
-//    r = G * S_hi + 1 
-//    Load log2_lo
-//
-(p0)  ldfe FR_Q4 = [GR_Table_Base],16 
-(p0)  fadd.s1 FR_h = FR_h, FR_h_tmp ;; 
-}
-{ .mfi
-(p0)  ldfe FR_Q3 = [GR_Table_Base],16 
-(p0)  fadd.s1 FR_H = FR_H, FR_H_tmp 
-	nop.i 999 ;;
+(p8)  ldfe FR_P6 = [GR_ad_p],16               // Load P_6 for near1 path
+(p8)  ldfe FR_P3 = [GR_ad_p2],16              // Load P_3 for near1 path
+(p9)  fma.s1  FR_S_lo = FR_S_lo, f1, FR_BB    // S_lo = S_lo + BB
 }
+;;
+
 { .mmf
-(p0)  ldfs  FR_H_tmp = [GR_Index3],4 
-(p0)  ldfe FR_Q2 = [GR_Table_Base],16 
-//
-//    Comput Index for Table3
-//    S_lo = S_lo * two_negN
-//
-(p0)  fcvt.xf FR_float_N = FR_float_N ;; 
+(p8)  ldfe FR_P5 = [GR_ad_p],16               // Load P_5 for near1 path
+(p8)  ldfe FR_P2 = [GR_ad_p2],16              // Load P_2 for near1 path
+(p8)  fmpy.s1 FR_wsq = FR_W, FR_W             // wsq = w * w for near1 path
 }
-//
-//    If S_lo == 0, set p8 false
-//    Load H3
-//    Load ptr to table of polynomial coeff.
-//
-{ .mmf
-(p0)  ldfd  FR_h_tmp = [GR_Index3],0 
-(p0)  ldfe FR_Q1 = [GR_Table_Base],0 
-(p0)  fcmp.eq.unc.s1 p0, p8 =  FR_S_lo, f0 ;; 
+;;
+
+{ .mmi
+(p8)  ldfe FR_P1 = [GR_ad_p2],16 ;;           // Load P_1 for near1 path
+      nop.m 999
+(p9)  extr.u GR_Index3 = GR_X_2, 1, 5         // Extract bits 1-5 of X_2
 }
+;;
+
 { .mfi
-	nop.m 999
-(p0)  fmpy.s1 FR_G = FR_G, FR_G_tmp 
-	nop.i 999 ;;
+(p9)  shladd GR_ad_tbl_3 = GR_Index3, 4, GR_ad_tbl_3  // Point to G_3
+(p9)  fcvt.xf FR_float_N = FR_float_N
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p0)  fadd.s1 FR_H = FR_H, FR_H_tmp 
-	nop.i 999 ;;
+(p9)  ldfps  FR_G3, FR_H3 = [GR_ad_tbl_3],8   // Load G_3, H_3
+      nop.f 999
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p0)  fms.s1 FR_r = FR_G, FR_S_hi, f1 
-	nop.i 999
+(p9)  ldfd  FR_h3 = [GR_ad_tbl_3]             // Load h_3
+(p9)  fmpy.s1 FR_G = FR_G, FR_G2              // G = G_1 * G_2
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-(p0)  fadd.s1 FR_h = FR_h, FR_h_tmp 
-	nop.i 999 ;;
+      nop.m 999
+(p9)  fadd.s1 FR_H = FR_H, FR_H2              // H = H_1 + H_2
+      nop.i 999
 }
-{ .mfi
-	nop.m 999
-(p0)  fma.s1 FR_Y_hi = FR_float_N, FR_log2_hi, FR_H 
-	nop.i 999 ;;
+;;
+
+{ .mmf
+      nop.m 999
+      nop.m 999
+(p9)  fadd.s1 FR_h = FR_h, FR_h2              // h = h_1 + h_2
 }
+;;
+
 { .mfi
-	nop.m 999
-//
-//    Load Q4 
-//    Load Q3 
-//    Load Q2 
-//    Load Q1 
-//
-(p8) fma.s1 FR_r = FR_G, FR_S_lo, FR_r 
-	nop.i 999
+      nop.m 999
+(p8)  fmpy.s1 FR_w4 = FR_wsq, FR_wsq          // w4 = w^4 for near1 path
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-//
-//    poly_lo = r * Q4 + Q3
-//    rsq = r* r
-//
-(p0)  fma.s1 FR_h = FR_float_N, FR_log2_lo, FR_h 
-	nop.i 999 ;;
+      nop.m 999
+(p8)  fma.s1 FR_p87 = FR_W, FR_P8, FR_P7      // p87 = w * P8 + P7
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-//
-//    If (S_lo!=0) r = s_lo * G + r
-//
-(p0)  fma.s1 FR_poly_lo = FR_r, FR_Q4, FR_Q3 
-	nop.i 999
+      nop.m 999
+(p9)  fma.s1  FR_S_lo = FR_S_lo, FR_2_to_minus_N, f0 // S_lo = S_lo * 2^(-N)
+      nop.i 999
 }
-//
-//    Create a 0x00000....01
-//    poly_lo = poly_lo * rsq + h
-//
 { .mfi
-(p0)  setf.sig FR_dummy = GR_Perturb 
-(p0)  fmpy.s1 FR_rsq = FR_r, FR_r 
-	nop.i 999 ;;
+      nop.m 999
+(p8)  fma.s1 FR_p43 = FR_W, FR_P4, FR_P3      // p43 = w * P4 + P3
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-//
-//    h = N * log2_lo + h 
-//    Y_hi = n * log2_hi + H 
-//
-(p0)  fma.s1 FR_poly_lo = FR_poly_lo, FR_r, FR_Q2 
-	nop.i 999
+      nop.m 999
+(p9)  fmpy.s1 FR_G = FR_G, FR_G3              // G = (G_1 * G_2) * G_3
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-(p0)  fma.s1 FR_poly_hi = FR_Q1, FR_rsq, FR_r 
-	nop.i 999 ;;
+      nop.m 999
+(p9)  fadd.s1 FR_H = FR_H, FR_H3              // H = (H_1 + H_2) + H_3
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-//
-//    poly_lo = r * poly_o + Q2 
-//    poly_hi = Q1 * rsq + r 
-//
-(p0)  fmpy.s1 FR_poly_lo = FR_poly_lo, FR_r 
-	nop.i 999 ;;
+      nop.m 999
+(p9)  fadd.s1 FR_h = FR_h, FR_h3              // h = (h_1 + h_2) + h_3
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-(p0)  fma.s1 FR_poly_lo = FR_poly_lo, FR_rsq, FR_h 
-	nop.i 999 ;;
-}
-{ .mfb
-	nop.m 999
-(p0)  fadd.s1 FR_Y_lo = FR_poly_hi, FR_poly_lo 
-//
-//    Create the FR for a binary "or"
-//    Y_lo = poly_hi + poly_lo
-//
-// (p0)  for FR_dummy = FR_Y_lo,FR_dummy ;;
-//
-//    Turn the lsb of Y_lo ON
-//
-// (p0)  fmerge.se FR_Y_lo =  FR_Y_lo,FR_dummy ;;
-//
-//    Merge the new lsb into Y_lo, for alone doesn't
-//
-(p0)  br.cond.sptk LOGL_main ;; 
-}
-L(log1pl_near): 
-{ .mmi
-	nop.m 999
-	nop.m 999
-//    /*******************************************************/
-//    /*********** Branch log1pl_near  ************************/
-//    /*******************************************************/
-(p0)  addl GR_Table_Base = @ltoff(Constants_P#),gp ;; 
-}
-{ .mmi
       nop.m 999
-      ld8    GR_Table_Base = [GR_Table_Base]
+(p8)  fmpy.s1 FR_w6 = FR_w4, FR_wsq           // w6 = w^6 for near1 path
       nop.i 999
-};;
-//
-//    Load base address of poly. coeff.
-//
-{ .mmb
-(p0)  add GR_Table_ptr = 0x40,GR_Table_Base  
-//
-//    Address tables with separate pointers 
-//
-(p0)  ldfe FR_P8 = [GR_Table_Base],16 
-	nop.b 999 ;;
-}
-{ .mmb
-(p0)  ldfe FR_P4 = [GR_Table_ptr],16 
-//
-//    Load P4
-//    Load P8
-//
-(p0)  ldfe FR_P7 = [GR_Table_Base],16 
-	nop.b 999 ;;
-}
-{ .mmf
-(p0)  ldfe FR_P3 = [GR_Table_ptr],16 
-//
-//    Load P3
-//    Load P7
-//
-(p0)  ldfe FR_P6 = [GR_Table_Base],16 
-(p0)  fmpy.s1 FR_wsq = FR_W, FR_W ;; 
 }
+;;
+
 { .mfi
-(p0)  ldfe FR_P2 = [GR_Table_ptr],16 
-	nop.f 999
-	nop.i 999 ;;
+      nop.m 999
+(p8)  fma.s1 FR_p432 = FR_W, FR_p43, FR_P2    // p432 = w * p43 + P2
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-(p0)  fma.s1 FR_Y_hi = FR_W, FR_P4, FR_P3 
-	nop.i 999
+      nop.m 999
+(p8)  fma.s1 FR_p876 = FR_W, FR_p87, FR_P6    // p876 = w * p87 + P6
+      nop.i 999
 }
-//
-//    Load P2
-//    Load P6
-//    Wsq = w * w
-//    Y_hi = p4 * w + p3
-//
+;;
+
 { .mfi
-(p0)  ldfe FR_P5 = [GR_Table_Base],16 
-(p0)  fma.s1 FR_Y_lo = FR_W, FR_P8, FR_P7 
-	nop.i 999 ;;
+      nop.m 999
+(p9)  fms.s1 FR_r = FR_G, FR_S_hi, f1         // r = G * S_hi - 1
+      nop.i 999
 }
 { .mfi
-(p0)  ldfe FR_P1 = [GR_Table_ptr],16 
-//
-//    Load P1
-//    Load P5
-//    Y_lo = p8 * w + P7
-//
-(p0)  fmpy.s1 FR_w4 = FR_wsq, FR_wsq 
-	nop.i 999 ;;
+      nop.m 999
+(p9)  fma.s1 FR_Y_hi = FR_float_N, FR_log2_hi, FR_H // Y_hi = N * log2_hi + H
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p0)  fma.s1 FR_Y_hi = FR_W, FR_Y_hi, FR_P2 
-	nop.i 999
+      nop.m 999
+(p9)  fma.s1 FR_h = FR_float_N, FR_log2_lo, FR_h  // h = N * log2_lo + h
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p0)  fma.s1 FR_Y_lo = FR_W, FR_Y_lo, FR_P6 
-(p0)  add GR_Perturb = 0x1, r0 ;; 
+      nop.m 999
+(p9)  fma.s1 FR_r = FR_G, FR_S_lo, FR_r        // r = G * S_lo + (G * S_hi - 1)
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-//
-//    w4 = w2 * w2 
-//    Y_hi = y_hi * w + p2 
-//    Y_lo = y_lo * w + p6 
-//    Create perturbation bit
-//
-(p0)  fmpy.s1 FR_w6 = FR_w4, FR_wsq 
-	nop.i 999 ;;
+      nop.m 999
+(p8)  fma.s1 FR_p4321 = FR_W, FR_p432, FR_P1      // p4321 = w * p432 + P1
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-(p0)  fma.s1 FR_Y_hi = FR_W, FR_Y_hi, FR_P1 
-	nop.i 999
+      nop.m 999
+(p8)  fma.s1 FR_p8765 = FR_W, FR_p876, FR_P5      // p8765 = w * p876 + P5
+      nop.i 999
 }
-//
-//    Y_hi = y_hi * w + p1 
-//    w6 = w4 * w2 
-//
+;;
+
 { .mfi
-(p0)  setf.sig FR_Q4 = GR_Perturb 
-(p0)  fma.s1 FR_Y_lo = FR_W, FR_Y_lo, FR_P5 
-	nop.i 999 ;;
+      nop.m 999
+(p9)  fma.s1 FR_poly_lo = FR_r, FR_Q4, FR_Q3      // poly_lo = r * Q4 + Q3
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-(p0)  fma.s1 FR_dummy = FR_wsq,FR_Y_hi, f0 
-	nop.i 999
+      nop.m 999
+(p9)  fmpy.s1 FR_rsq = FR_r, FR_r                 // rsq = r * r
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p0)  fma.s1 FR_Y_hi = FR_W,f1,f0 
-	nop.i 999
-};;
-{ .mfb
-	nop.m 999
-//
-//    Y_hi = w 
-//    Y_lo = y_lo * w + p5 
-//
-(p0)  fma.s1 FR_Y_lo = FR_w6, FR_Y_lo,FR_dummy 
-//
-//    Y_lo = y_lo * w6   + y_high order part. 
-//
-//    performance
-//
-(p0)  br.cond.sptk LOGL_main ;; 
-}
-L(log1pl_small): 
-{ .mmi
-	nop.m 999
-//  /*******************************************************/
-//  /*********** Branch log1pl_small  ***********************/
-//  /*******************************************************/
-(p0)  addl GR_Table_Base = @ltoff(Constants_Threshold#),gp
+      nop.m 999
+(p8)  fma.s1 FR_Y_lo = FR_wsq, FR_p4321, f0       // Y_lo = wsq * p4321
+      nop.i 999
 }
 { .mfi
       nop.m 999
-(p0)  mov FR_Em1 = FR_W 
-(p0)  cmp.eq.unc  p7, p0 = r0, r0 ;; 
-}
-{ .mlx
-      ld8    GR_Table_Base = [GR_Table_Base]
-(p0)  movl GR_Expo_Range = 0x0000000000000004 ;; 
-}
-//
-//    Set Safe to true
-//    Set Expo_Range = 0 for single
-//    Set Expo_Range = 2 for double 
-//    Set Expo_Range = 4 for double-extended 
-//
-{ .mmi
-(p0)  shladd GR_Table_Base = GR_Expo_Range,4,GR_Table_Base ;; 
-(p0)  ldfe FR_Threshold = [GR_Table_Base],16 
-	nop.i 999
-}
-{ .mlx
-	nop.m 999
-(p0)  movl GR_Bias = 0x000000000000FF9B ;; 
+(p8)  fma.s1 FR_Y_hi = FR_W, f1, f0               // Y_hi = w for near1 path
+      nop.i 999
 }
+;;
+
 { .mfi
-(p0)  ldfe FR_Tiny = [GR_Table_Base],0 
-	nop.f 999
-	nop.i 999 ;;
+      nop.m 999
+(p9)  fma.s1 FR_poly_lo = FR_poly_lo, FR_r, FR_Q2 // poly_lo = poly_lo * r + Q2
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-(p0)  fcmp.gt.unc.s1 p13, p12 =  FR_abs_W, FR_Threshold 
-	nop.i 999 ;;
+      nop.m 999
+(p9)  fma.s1 FR_rcub = FR_rsq, FR_r, f0           // rcub = r^3
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p13) fnmpy.s1 FR_Y_lo = FR_W, FR_W 
-	nop.i 999
+      nop.m 999
+(p8)  fma.s1 FR_Y_lo = FR_w6, FR_p8765,FR_Y_lo // Y_lo = w6 * p8765 + w2 * p4321
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p13) fadd FR_SCALE = f0, f1 
-	nop.i 999 ;;
+      nop.m 999
+(p9)  fma.s1 FR_poly_hi = FR_Q1, FR_rsq, FR_r     // poly_hi = Q1 * rsq + r
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p12) fsub.s1 FR_Y_lo = f0, FR_Tiny 
-(p12) cmp.ne.unc  p7, p0 = r0, r0 
+      nop.m 999
+(p9)  fma.s1 FR_poly_lo = FR_poly_lo, FR_rcub, FR_h // poly_lo = poly_lo*r^3 + h
+      nop.i 999
 }
+;;
+
 { .mfi
-(p12) setf.exp FR_SCALE = GR_Bias 
-	nop.f 999
-	nop.i 999 ;;
-}
-{ .mfb
-	nop.m 999
-//
-//    Set p7 to SAFE = FALSE
-//    Set Scale = 2^-100 
-//
-(p0)  fma.s0 f8 = FR_Y_lo,FR_SCALE,FR_Y_hi
-(p0)  br.ret.sptk   b0 ;; 
+      nop.m 999
+(p9)  fadd.s1 FR_Y_lo = FR_poly_hi, FR_poly_lo    // Y_lo = poly_hi + poly_lo 
+      nop.i 999
 }
-L(LOGL_64_one): 
+;;
+
+// Remainder of code is common for near1 and regular paths
 { .mfb
-	nop.m 999
-(p0)  fmpy.s0 f8 = FR_Input_X, f0 
-(p0)  br.ret.sptk   b0 ;; 
+      nop.m 999
+      fadd.s0  f8 = FR_Y_lo,FR_Y_hi               // Result=Y_lo+Y_hi
+      br.ret.sptk   b0                       // Common exit for 2^-80 < x < inf
 }
-//    
-//    Raise divide by zero for +/-0 input.
-//    
-L(LOGL_64_zero): 
-{ .mfi
-(p0)  mov   GR_Parameter_TAG = 0
+;;
+
+
+// Here if x=-1
+LOG1P_EQ_Minus_1: 
 //
-//    If we have logl(1), log10l(1) or log1pl(0), return 0.
+//    If x=-1 raise divide by zero and return -inf
 //  
-(p0)  fsub.s0 FR_Output_X_tmp = f0, f1 
-	nop.i 999 ;;
-}
-{ .mii
-(p14) mov   GR_Parameter_TAG = 6 
-	nop.i 999 ;;
-(p15) mov   GR_Parameter_TAG = 138 ;; 
-}
-{ .mfb
-	nop.m 999
-(p0)  frcpa.s0 FR_Output_X_tmp, p8 =  FR_Output_X_tmp, f0 
-(p0)  br.cond.sptk __libm_error_region ;; 
+{ .mfi
+      mov   GR_Parameter_TAG = 138
+      fsub.s1 FR_Output_X_tmp = f0, f1 
+      nop.i 999
 }
+;;
+
 { .mfb
-	nop.m 999
-//     
-//    Report that logl(0) computed
-//     { .mfb
-(p0)  mov   FR_Input_X     = FR_Output_X_tmp
-(p0)  br.ret.sptk   b0 ;;
+      nop.m 999
+      frcpa.s0 FR_Output_X_tmp, p8 =  FR_Output_X_tmp, f0 
+      br.cond.sptk __libm_error_region
 }
+;;
 
-L(LOGL_64_special): 
+LOG1P_special: 
 { .mfi
-	nop.m 999
-//    
-//    Return -Inf or value from handler.
-//    
-(p0)  fclass.m.unc p7, p0 =  FR_Input_X, 0x1E1 
-	nop.i 999 ;;
+      nop.m 999
+      fclass.m.unc p8, p0 =  FR_Input_X, 0x1E1  // Test for natval, nan, +inf
+      nop.i 999
 }
-{ .mfb
-	nop.m 999
-//     
-//    Check for Natval, QNan, SNaN, +Inf   
-//    
-(p7)  fmpy.s0 f8 =  FR_Input_X, f1 
+;;
+
 //     
 //    For SNaN raise invalid and return QNaN.
 //    For QNaN raise invalid and return QNaN.
 //    For +Inf return +Inf.
 //    
-(p7)  br.ret.sptk   b0 ;;
+{ .mfb
+      nop.m 999
+(p8)  fmpy.s0 f8 =  FR_Input_X, f1 
+(p8)  br.ret.sptk   b0                          // Return for natval, nan, +inf
 }
+;;
+
 //    
 //    For -Inf raise invalid and return QNaN.
 //    
-{ .mii
-(p0)  mov   GR_Parameter_TAG = 1
-	nop.i 999 ;;
-(p14) mov   GR_Parameter_TAG = 7 ;;
-}
-{ .mfi
-(p15) mov   GR_Parameter_TAG = 139 
-	nop.f 999
-	nop.i 999 ;;
-}
 { .mfb
-	nop.m 999
-(p0)  fmpy.s0 FR_Output_X_tmp =  FR_Input_X, f0 
-(p0)  br.cond.sptk __libm_error_region ;; 
+      mov   GR_Parameter_TAG = 139
+      fmpy.s0 FR_Output_X_tmp =  FR_Input_X, f0 
+      br.cond.sptk __libm_error_region
 }
-//     
-//    Report that logl(-Inf) computed
-//    Report that log10l(-Inf) computed
-//    Report that log1p(-Inf) computed
-//     
-{ .mfb
-      nop.m 0
-(p0)  mov   FR_Input_X     = FR_Output_X_tmp
-(p0)  br.ret.sptk   b0 ;;
-}
-L(LOGL_64_unsupported): 
-{ .mfb
-	nop.m 999
+;;
+
+
+LOG1P_unsupported: 
 //    
-//    Return generated NaN or other value .
+//    Return generated NaN or other value.
 //    
-(p0)  fmpy.s0 f8 = FR_Input_X, f0 
-(p0)  br.ret.sptk   b0 ;;
+{ .mfb
+      nop.m 999
+      fmpy.s0 f8 = FR_Input_X, f0 
+      br.ret.sptk   b0
 }
-L(LOGL_64_negative): 
-{ .mfi
-	nop.m 999
-//     
-//    Deal with x < 0 in a special way 
-//    
-(p0)  frcpa.s0 FR_Output_X_tmp, p8 =  f0, f0 
+;;
+
+// Here if -inf < x < -1
+LOG1P_LT_Minus_1: 
 //     
-//    Deal with x < 0 in a special way - raise
+//    Deal with x < -1 in a special way - raise
 //    invalid and produce QNaN indefinite.
 //    
-(p0)  mov   GR_Parameter_TAG = 1 ;; 
-}
-{ .mii
-(p14) mov   GR_Parameter_TAG = 7
-	nop.i 999 ;;
-(p15) mov   GR_Parameter_TAG = 139
+{ .mfb
+      mov   GR_Parameter_TAG = 139
+      frcpa.s0 FR_Output_X_tmp, p8 =  f0, f0
+      br.cond.sptk __libm_error_region
 }
-.endp log1pl
-ASM_SIZE_DIRECTIVE(log1pl) 
+;;
+
 
-.proc __libm_error_region
-__libm_error_region:
+GLOBAL_IEEE754_END(log1pl)
+LOCAL_LIBM_ENTRY(__libm_error_region)
 .prologue
 { .mfi
         add   GR_Parameter_Y=-32,sp             // Parameter 2 value
@@ -1609,8 +1177,8 @@ __libm_error_region:
         br.call.sptk b0=__libm_error_support#  // Call error handling function
 };;
 { .mmi
-        nop.m 0
-        nop.m 0
+        nop.m 999
+        nop.m 999
         add   GR_Parameter_RESULT = 48,sp
 };;
 { .mmi
@@ -1625,52 +1193,7 @@ __libm_error_region:
         br.ret.sptk     b0                     // Return
 };;
 
-.endp __libm_error_region
-ASM_SIZE_DIRECTIVE(__libm_error_region)
-
-.proc LOGL_main 
-LOGL_main: 
-{ .mfi
-	nop.m 999
-//
-//    kernel_log_64 computes ln(X + E)
-//
-(p7)  fadd.s0 FR_Input_X = FR_Y_lo,FR_Y_hi
-      nop.i 0
-}
-{ .mmi
-      nop.m 999
-      nop.m 999
-(p14) addl GR_Table_Base = @ltoff(Constants_1_by_LN10#),gp ;; 
-}
-{ .mmi
-      nop.m 999
-(p14) ld8    GR_Table_Base = [GR_Table_Base]
-      nop.i 999
-};;
-
-{ .mmi
-(p14) ldfe FR_1LN10_hi = [GR_Table_Base],16 ;; 
-(p14) ldfe FR_1LN10_lo = [GR_Table_Base]
-	nop.i 999 ;;
-}
-{ .mfi
-	nop.m 999
-(p14) fmpy.s1 FR_Output_X_tmp = FR_Y_lo,FR_1LN10_hi
-	nop.i 999 ;;
-}
-{ .mfi
-	nop.m 999
-(p14) fma.s1  FR_Output_X_tmp = FR_Y_hi,FR_1LN10_lo,FR_Output_X_tmp
-	nop.i 999 ;;
-}
-{ .mfb
-	nop.m 999
-(p14) fma.s0 FR_Input_X = FR_Y_hi,FR_1LN10_hi,FR_Output_X_tmp
-(p0)  br.ret.sptk   b0 ;; 
-}
-.endp LOGL_main
-ASM_SIZE_DIRECTIVE(LOGL_main) 
+LOCAL_LIBM_END(__libm_error_region#)
 
 .type   __libm_error_support#,@function
 .global __libm_error_support#
diff --git a/sysdeps/ia64/fpu/s_logb.S b/sysdeps/ia64/fpu/s_logb.S
index 76c4fe778e..dfe581a826 100644
--- a/sysdeps/ia64/fpu/s_logb.S
+++ b/sysdeps/ia64/fpu/s_logb.S
@@ -1,10 +1,10 @@
 .file "logb.s"
 
-// Copyright (C) 2000, 2001, Intel Corporation
+
+// Copyright (c) 2000 - 2003, Intel Corporation
 // All rights reserved.
-// 
-// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story,
-// and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
 //
 // Redistribution and use in source and binary forms, with or without
 // modification, are permitted provided that the following conditions are
@@ -20,41 +20,43 @@
 // * The name of Intel Corporation may not be used to endorse or promote
 // products derived from this software without specific prior written
 // permission.
-//
-// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
-// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
-// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS 
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
 // CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
-// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, 
-// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 
-// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY 
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
 // OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
-// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 
-// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 
-// 
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+//
 // Intel Corporation is the author of this code, and requests that all
-// problem reports or change requests be submitted to it directly at 
-// http://developer.intel.com/opensource.
+// problem reports or change requests be submitted to it directly at
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
 //
 // History
 //==============================================================
-// 2/02/00  Initial version
-// 2/16/00  Modified to conform to C9X 
-// 3/16/00  Improved speed
-// 4/04/00  Unwind support added
-// 5/30/00  Fixed bug when x double-extended denormal
-// 8/15/00  Bundle added after call to __libm_error_support to properly
+// 02/02/00 Initial version
+// 02/16/00 Modified to conform to C9X
+// 03/16/00 Improved speed
+// 04/04/00 Unwind support added
+// 05/30/00 Fixed bug when x double-extended denormal
+// 08/15/00 Bundle added after call to __libm_error_support to properly
 //          set [the previously overwritten] GR_Parameter_RESULT.
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 01/20/03 Improved performance
 //
 // API
 //==============================================================
-// double logb( double x);
+// double logb( double x );
 //
 // Overview of operation
 //==============================================================
-// The logb function extracts the exponent of x as an integer in 
-// floating-point format. 
+// The logb function extracts the exponent of x as an integer in
+// floating-point format.
 // logb computes log2 of x as a double
 //
 // logb is similar to ilogb but differs in the  following ways:
@@ -71,217 +73,168 @@
 //
 // Registers used
 //==============================================================
-// general registers used: 
-// ar.pfs r32 
-// r33 -> r37
-// r38 -> r41 used as parameters to error path
+// general registers used:
+// r26 -> r38
+// r35 -> r38 used as parameters to error path
 //
-// predicate registers used: 
+// predicate registers used:
 // p6, p7, p8
-// floating-point registers used: 
+// floating-point registers used:
 // f9, f10, f11
 // f8, input
 
-#include "libm_support.h"
+rExpBias            = r26
+rExpMask            = r27
+rSignexp_x          = r28
+rExp_x              = r29
+rTrueExp_x          = r30
+rExp_2to64          = r31
 
-GR_SAVE_B0          = r34
-GR_SAVE_GP          = r35
 GR_SAVE_PFS         = r32
+GR_SAVE_B0          = r33
+GR_SAVE_GP          = r34
 
-GR_Parameter_X      = r38
-GR_Parameter_Y      = r39
-GR_Parameter_RESULT = r40
+GR_Parameter_X      = r35
+GR_Parameter_Y      = r36
+GR_Parameter_RESULT = r37
+GR_Parameter_TAG    = r38
 
-.align 32
-.global logb#
+fExp_in_signif      = f9
+fNorm_x             = f10
+fFloat_Exp          = f10
+f2to64              = f11
 
 .section .text
-.proc  logb#
-.align 32
+GLOBAL_LIBM_ENTRY(logb)
 
-
-logb: 
-
-// qnan snan inf norm     unorm 0 -+
-// 0    0    0   0        1     0 11
-// 0                      b
-{ .mfi
-      alloc          r32=ar.pfs,1,5,4,0
-(p0)  fclass.m.unc  p8,p0 = f8, 0x0b
-      nop.i 999
-}
 // X NORMAL
-// r37 = exp(f8) - - 0xffff
-// sig(f8) = r37
+// TrueExp_x = exp(f8) - 0xffff
+// sig = TrueExp_x
 // f8 = convert_to_fp (sig))
 { .mfi
-(p0)  getf.exp      r35 = f8
-(p0)  fnorm         f10=f8
-      nop.i 999 ;;
+      getf.exp        rSignexp_x = f8
+      fclass.m        p8,p0 = f8, 0x0b   // Test for x unorm
+      mov             rExpBias = 0xffff  // Exponent bias
 }
-
-// qnan snan inf norm     unorm 0 -+
-// 1    1    1   0        0     0 11
-// e                      3
-{ .mmf
-(p0)  mov      r33 = 0xffff
-(p0)  mov      r34 = 0x1ffff
-(p0)  fclass.m.unc  p6,p0 = f8, 0xe3 ;;
+{ .mfi
+      nop.m           0
+      fnorm.s1        fNorm_x = f8
+      mov             rExpMask = 0x1ffff // Exponent mask
 }
+;;
 
+// Form signexp of 2^64 in case need to scale denormal
 { .mfb
-(p0)  and           r36 = r35, r34
-(p0)  fclass.m.unc  p7,p0 = f8, 0x07
-(p8)  br.cond.spnt  L(LOGB_DENORM) ;;
+      mov             rExp_2to64 = 0x1003f
+      fclass.m        p6,p0 = f8, 0x1e3  // Test x natval, nan, inf
+(p8)  br.cond.spnt    LOGB_DENORM        // Branch if x unorm
 }
+;;
 
-{ .mib
-(p0)  sub           r37 = r36, r33
-      nop.i 999
-(p6)  br.cond.spnt  L(LOGB_NAN_INF) ;;
+LOGB_COMMON:
+// Return here from LOGB_DENORM
+{ .mfi
+      and             rExp_x = rSignexp_x, rExpMask // Get biased exponent
+      fclass.m        p7,p0 = f8, 0x07   // Test x zero
+      nop.i           0
 }
+;;
 
-{ .mib
-(p0)  setf.sig      f9  = r37
-      nop.i 999
-(p7)  br.cond.spnt  L(LOGB_ZERO) ;;
+// X NAN or INFINITY, return f8 * f8
+{ .mfb
+      sub             rTrueExp_x = rExp_x, rExpBias // Get true exponent
+(p6)  fma.d.s0        f8= f8,f8,f0       // Result if x natval, nan, inf
+(p6)  br.ret.spnt     b0                 // Exit if x natval, nan, inf
 }
+;;
 
-{ .mfi
-      nop.m 999
-(p0)  fcvt.xf       f10 = f9
-      nop.i 999 ;;
+{ .mib
+      setf.sig        fExp_in_signif = rTrueExp_x // Exponent as integer in fp
+      nop.i 999
+(p7)  br.cond.spnt    LOGB_ZERO
 }
+;;
 
+// Result can be represented in less than 24 bits, so no precision completer
+// is needed.
 { .mfb
-      nop.m 999
-(p0)  fnorm.d       f8 = f10
-(p0)  br.ret.sptk    b0 ;;
+      nop.m           0
+      fcvt.xf         f8 = fExp_in_signif
+      br.ret.sptk     b0                 // Exit main path, 0 < |x| < inf
 }
+;;
 
-L(LOGB_DENORM):
-// Form signexp of 2^64 in case need to scale denormal
+LOGB_DENORM:
+// Form 2^64 in case need to scale denormal
 // Check to see if double-extended denormal
 { .mfi
-(p0)  mov r38 = 0x1003f
-(p0)  fclass.m.unc  p8,p0 = f10, 0x0b
-      nop.i 999 ;;
+      setf.exp        f2to64 = rExp_2to64
+      fclass.m        p8,p0 = fNorm_x, 0x0b
+      nop.i           0
 }
+;;
 
-// Form 2^64 in case need to scale denormal
 { .mfi
-(p0)  setf.exp f11 = r38
-      nop.f 999
-      nop.i 999 ;;
+      nop.m           0
+      fcmp.eq.s0      p7,p0 = f8, f0           // Dummy op to set denormal flag
+      nop.i           0
 }
+;;
 
 // If double-extended denormal add 64 to exponent bias for scaling
 // If double-extended denormal form x * 2^64 which is normal
 { .mfi
-(p8)  add r33 = 64, r33
-(p8)  fmpy f10 = f10, f11    
-      nop.i 999 ;;
+(p8)  add             rExpBias = 64, rExpBias
+(p8)  fmpy.s1         fNorm_x = fNorm_x, f2to64
+      nop.i           0
 }
+;;
 
 // Logic is the same as normal path but use normalized input
-{ .mmi
-(p0)  getf.exp      r35 = f10 ;;
-      nop.m 999
-      nop.i 999 ;;
-}
-
-{ .mmi
-(p0)  and           r36 = r35, r34 ;;
-(p0)  sub           r37 = r36, r33
-      nop.i 999 ;;
-}
-
-{ .mmi
-(p0)  setf.sig      f9  = r37
-      nop.m 999
-      nop.i 999 ;;
+{ .mib
+      getf.exp        rSignexp_x = fNorm_x
+      nop.i           0
+      br.cond.sptk    LOGB_COMMON              // Return to main path
 }
+;;
 
-{ .mfi
-      nop.m 999
-(p0)  fcvt.xf       f10 = f9
-      nop.i 999 ;;
-}
+LOGB_ZERO:
+// Here if x zero
+// f10  = -|f8|
+// f9  = 1.0/f10 = -1.0/|f8| = -inf
 
-{ .mfb
-      nop.m 999
-(p0)  fnorm.d       f8 = f10
-(p0)  br.ret.sptk    b0 ;;
+{ .mmf
+      alloc           r32=ar.pfs,1,2,4,0
+      mov             GR_Parameter_TAG = 151  // Error code
+      fmerge.ns       f10 = f0,f8
 }
+;;
 
-L(LOGB_NAN_INF): 
-
-// X NAN or INFINITY, return f8 * f8
 { .mfb
-      nop.m 999
-(p0)  fma.d      f8= f8,f8,f0
-(p0)  br.ret.sptk   b0 ;;
-}
-
-.endp logb#
-ASM_SIZE_DIRECTIVE(logb)
-
-// Stack operations when calling error support.
-//       (1)               (2)                          (3) (call)              (4)
-//   sp   -> +          psp -> +                     psp -> +                   sp -> +
-//           |                 |                            |                         |
-//           |                 | <- GR_Y               R3 ->| <- GR_RESULT            | -> f8
-//           |                 |                            |                         |
-//           | <-GR_Y      Y2->|                       Y2 ->| <- GR_Y                 |
-//           |                 |                            |                         |
-//           |                 | <- GR_X               X1 ->|                         |
-//           |                 |                            |                         |
-//  sp-64 -> +          sp ->  +                     sp ->  +                         +
-//    save ar.pfs          save b0                                               restore gp
-//    save gp                                                                    restore ar.pfs
-
-
-
-.proc __libm_error_region
-__libm_error_region:
-L(LOGB_ZERO): 
-.prologue
-
-// f9  = |f8|
-// f10 = -f9 = -|f8|
-// f9  = 1.0/f10 = -1.0/-|f8|
-
-{ .mfi 
-      mov           r41 = 151      // Error code
-(p0)  fmerge.s      f9 = f0,f8
-      nop.i 999
+      nop.m           0
+      frcpa.s0        f9,p6 = f1,f10          // Produce -inf, Z flag
+      br.cond.sptk    __libm_error_region     // Call error support
 }
 ;;
 
+GLOBAL_LIBM_END(logb)
 
-{ .mfi
-      nop.m 999
-      fmerge.ns     f10 = f0,f9
-      nop.i 999
-}
-;;
+LOCAL_LIBM_ENTRY(__libm_error_region)
+.prologue
 
-// (1)
 { .mfi
-        add   GR_Parameter_Y=-32,sp             // Parameter 2 value
-        frcpa         f9,p6 = f1,f10
+        add   GR_Parameter_Y=-32,sp           // Parameter 2 value
+        nop.f 0
 .save   ar.pfs,GR_SAVE_PFS
-        mov  GR_SAVE_PFS=ar.pfs                 // Save ar.pfs
+        mov  GR_SAVE_PFS=ar.pfs               // Save ar.pfs
 }
 { .mfi
 .fframe 64
-        add sp=-64,sp                          // Create new stack
+        add sp=-64,sp                         // Create new stack
         nop.f 0
-        mov GR_SAVE_GP=gp                      // Save gp
+        mov GR_SAVE_GP=gp                     // Save gp
 };;
 
-
-// (2)
 { .mmi
         stfd [GR_Parameter_Y] = f0,16         // STORE Parameter 2 on stack
         add GR_Parameter_X    = 16,sp         // Parameter 1 address
@@ -290,38 +243,38 @@ L(LOGB_ZERO):
 };;
 
 .body
-// (3)
 { .mib
         stfd [GR_Parameter_X] = f8            // STORE Parameter 1 on stack
         add   GR_Parameter_RESULT = 0,GR_Parameter_Y    // Parameter 3 address
-        nop.b 0                                         
+        nop.b 0
 }
 { .mib
         stfd [GR_Parameter_Y] = f9            // Store Parameter 3 on stack
         add   GR_Parameter_Y = -16,GR_Parameter_Y
         br.call.sptk b0=__libm_error_support# // Call error handling function
 };;
+
 { .mmi
-        nop.m 0
-        nop.m 0
         add   GR_Parameter_RESULT = 48,sp
+        nop.m 0
+        nop.i 0
 };;
 
-// (4)
 { .mmi
         ldfd  f8 = [GR_Parameter_RESULT]       // Get return result off stack
 .restore sp
         add   sp = 64,sp                       // Restore stack pointer
         mov   b0 = GR_SAVE_B0                  // Restore return address
 };;
+
 { .mib
         mov   gp = GR_SAVE_GP                  // Restore gp
         mov   ar.pfs = GR_SAVE_PFS             // Restore ar.pfs
         br.ret.sptk   b0
 };;
 
-.endp __libm_error_region
-ASM_SIZE_DIRECTIVE(__libm_error_region)
+LOCAL_LIBM_END(__libm_error_region)
+
 
 .type   __libm_error_support#,@function
 .global __libm_error_support#
diff --git a/sysdeps/ia64/fpu/s_logbf.S b/sysdeps/ia64/fpu/s_logbf.S
index f2f671f892..1d605cd97c 100644
--- a/sysdeps/ia64/fpu/s_logbf.S
+++ b/sysdeps/ia64/fpu/s_logbf.S
@@ -1,10 +1,10 @@
 .file "logbf.s"
 
-// Copyright (C) 2000, 2001, Intel Corporation
+
+// Copyright (c) 2000 - 2003, Intel Corporation
 // All rights reserved.
-// 
-// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story,
-// and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
 //
 // Redistribution and use in source and binary forms, with or without
 // modification, are permitted provided that the following conditions are
@@ -20,44 +20,46 @@
 // * The name of Intel Corporation may not be used to endorse or promote
 // products derived from this software without specific prior written
 // permission.
-//
-// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
-// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
-// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS 
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
 // CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
-// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, 
-// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 
-// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY 
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
 // OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
-// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 
-// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 
-// 
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+//
 // Intel Corporation is the author of this code, and requests that all
-// problem reports or change requests be submitted to it directly at 
-// http://developer.intel.com/opensource.
+// problem reports or change requests be submitted to it directly at
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
 //
 // History
 //==============================================================
-// 2/02/00  Initial version
-// 2/16/00  Modified to conform to C9X 
-// 3/16/00  Improved speed
-// 4/04/00  Unwind support added
-// 5/30/00  Fixed bug when x double-extended denormal
-// 8/15/00  Bundle added after call to __libm_error_support to properly
+// 02/02/00 Initial version
+// 02/16/00 Modified to conform to C9X
+// 03/16/00 Improved speed
+// 04/04/00 Unwind support added
+// 05/30/00 Fixed bug when x double-extended denormal
+// 08/15/00 Bundle added after call to __libm_error_support to properly
 //          set [the previously overwritten] GR_Parameter_RESULT.
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 01/20/03 Improved performance
 //
 // API
 //==============================================================
-// float logbf( float x);
+// float logbf( float x );
 //
 // Overview of operation
 //==============================================================
-// The logbf function extracts the exponent of x as an integer in 
-// floating-point format. 
+// The logbf function extracts the exponent of x as an integer in
+// floating-point format.
 // logbf computes log2 of x as a float
-
-// logbf is similar to ilogbf but differs in the  following ways:
+//
+// logbf is similar to ilogbf but differs in the following ways:
 //         +-inf
 //            ilogbf: returns INT_MAX
 //             logbf: returns +inf
@@ -71,243 +73,207 @@
 //
 // Registers used
 //==============================================================
-// general registers used: 
-// ar.pfs r32 
-// r33 -> r37
-// r38 -> r41 used as parameters to error path
+// general registers used:
+// r26 -> r38
+// r35 -> r38 used as parameters to error path
 //
-// predicate registers used: 
+// predicate registers used:
 // p6, p7, p8
-//
-// floating-point registers used: 
+// floating-point registers used:
 // f9, f10, f11
 // f8, input
 
-#include "libm_support.h"
-
-GR_SAVE_B0                    = r34
-// r40 is address of table of coefficients
-GR_SAVE_PFS                   = r32
-GR_SAVE_GP                    = r35 
+rExpBias            = r26
+rExpMask            = r27
+rSignexp_x          = r28
+rExp_x              = r29
+rTrueExp_x          = r30
+rExp_2to64          = r31
 
-GR_Parameter_X                = r38
-GR_Parameter_Y                = r39
-GR_Parameter_RESULT           = r40
-GR_Parameter_TAG              = r41
+GR_SAVE_PFS         = r32
+GR_SAVE_B0          = r33
+GR_SAVE_GP          = r34
 
-FR_X             = f8
-FR_Y             = f0
-FR_RESULT        = f10
+GR_Parameter_X      = r35
+GR_Parameter_Y      = r36
+GR_Parameter_RESULT = r37
+GR_Parameter_TAG    = r38
 
-
-.align 32
-.global logbf#
+fExp_in_signif      = f9
+fNorm_x             = f10
+fFloat_Exp          = f10
+f2to64              = f11
 
 .section .text
-.proc  logbf#
-.align 32
-
+GLOBAL_LIBM_ENTRY(logbf)
 
-logbf: 
-
-// qnan snan inf norm     unorm 0 -+
-// 0    0    0   0        1     0 11
-// 0                      b
-{ .mfi
-      alloc          r32=ar.pfs,1,5,4,0
-(p0)  fclass.m.unc  p8,p0 = f8, 0x0b
-      nop.i 999
-}
 // X NORMAL
-// r37 = exp(f8) - - 0xffff
-// sig(f8) = r37
+// TrueExp_x = exp(f8) - 0xffff
+// sig = TrueExp_x
 // f8 = convert_to_fp (sig))
 { .mfi
-(p0)  getf.exp      r35 = f8
-(p0)  fnorm         f10=f8
-      nop.i 999 ;;
+      getf.exp        rSignexp_x = f8
+      fclass.m        p8,p0 = f8, 0x0b   // Test for x unorm
+      mov             rExpBias = 0xffff  // Exponent bias
 }
-
-// qnan snan inf norm     unorm 0 -+
-// 1    1    1   0        0     0 11
-// e                      3
-{ .mmf
-(p0)  mov      r33 = 0xffff
-(p0)  mov      r34 = 0x1ffff
-(p0)  fclass.m.unc  p6,p0 = f8, 0xe3 ;;
+{ .mfi
+      nop.m           0
+      fnorm.s1        fNorm_x = f8
+      mov             rExpMask = 0x1ffff // Exponent mask
 }
+;;
 
+// Form signexp of 2^64 in case need to scale denormal
 { .mfb
-(p0)  and           r36 = r35, r34
-(p0)  fclass.m.unc  p7,p0 = f8, 0x07
-(p8)  br.cond.spnt  L(LOGB_DENORM) ;;
+      mov             rExp_2to64 = 0x1003f
+      fclass.m        p6,p0 = f8, 0x1e3  // Test x natval, nan, inf
+(p8)  br.cond.spnt    LOGB_DENORM        // Branch if x unorm
 }
+;;
 
-{ .mib
-(p0)  sub           r37 = r36, r33
-      nop.i 999
-(p6)  br.cond.spnt  L(LOGB_NAN_INF) ;;
+LOGB_COMMON:
+// Return here from LOGB_DENORM
+{ .mfi
+      and             rExp_x = rSignexp_x, rExpMask // Get biased exponent
+      fclass.m        p7,p0 = f8, 0x07   // Test x zero
+      nop.i           0
 }
+;;
 
-{ .mib
-(p0)  setf.sig      f9  = r37
-      nop.i 999
-(p7)  br.cond.spnt  L(LOGB_ZERO) ;;
+// X NAN or INFINITY, return f8 * f8
+{ .mfb
+      sub             rTrueExp_x = rExp_x, rExpBias // Get true exponent
+(p6)  fma.s.s0        f8= f8,f8,f0       // Result if x natval, nan, inf
+(p6)  br.ret.spnt     b0                 // Exit if x natval, nan, inf
 }
+;;
 
-{ .mfi
-      nop.m 999
-(p0)  fcvt.xf       f10 = f9
-      nop.i 999 ;;
+{ .mib
+      setf.sig        fExp_in_signif = rTrueExp_x // Exponent as integer in fp
+      nop.i 999
+(p7)  br.cond.spnt    LOGB_ZERO
 }
+;;
 
+// Result can be represented in less than 24 bits, so no precision completer
+// is needed.
 { .mfb
-      nop.m 999
-(p0)  fnorm.s       f8 = f10
-(p0)  br.ret.sptk    b0 ;;
+      nop.m           0
+      fcvt.xf         f8 = fExp_in_signif
+      br.ret.sptk     b0                 // Exit main path, 0 < |x| < inf
 }
+;;
 
-L(LOGB_DENORM):
-// Form signexp of 2^64 in case need to scale denormal
+LOGB_DENORM:
+// Form 2^64 in case need to scale denormal
 // Check to see if double-extended denormal
 { .mfi
-(p0)  mov r38 = 0x1003f
-(p0)  fclass.m.unc  p8,p0 = f10, 0x0b
-      nop.i 999 ;;
+      setf.exp        f2to64 = rExp_2to64
+      fclass.m        p8,p0 = fNorm_x, 0x0b
+      nop.i           0
 }
+;;
 
-// Form 2^64 in case need to scale denormal
 { .mfi
-(p0)  setf.exp f11 = r38
-      nop.f 999
-      nop.i 999 ;;
+      nop.m           0
+      fcmp.eq.s0      p7,p0 = f8, f0           // Dummy op to set denormal flag
+      nop.i           0
 }
+;;
 
 // If double-extended denormal add 64 to exponent bias for scaling
 // If double-extended denormal form x * 2^64 which is normal
 { .mfi
-(p8)  add r33 = 64, r33
-(p8)  fmpy f10 = f10, f11    
-      nop.i 999 ;;
+(p8)  add             rExpBias = 64, rExpBias
+(p8)  fmpy.s1         fNorm_x = fNorm_x, f2to64
+      nop.i           0
 }
+;;
 
 // Logic is the same as normal path but use normalized input
-{ .mmi
-(p0)  getf.exp      r35 = f10 ;;
-      nop.m 999
-      nop.i 999 ;;
-}
-
-{ .mmi
-(p0)  and           r36 = r35, r34 ;;
-(p0)  sub           r37 = r36, r33
-      nop.i 999 ;;
-}
-
-{ .mmi
-(p0)  setf.sig      f9  = r37
-      nop.m 999
-      nop.i 999 ;;
+{ .mib
+      getf.exp        rSignexp_x = fNorm_x
+      nop.i           0
+      br.cond.sptk    LOGB_COMMON              // Return to main path
 }
+;;
 
-{ .mfi
-      nop.m 999
-(p0)  fcvt.xf       f10 = f9
-      nop.i 999 ;;
-}
+LOGB_ZERO:
+// Here if x zero
+// f10  = -|f8|
+// f9  = 1.0/f10 = -1.0/|f8| = -inf
 
-{ .mfb
-      nop.m 999
-(p0)  fnorm.s       f8 = f10
-(p0)  br.ret.sptk    b0 ;;
+{ .mmf
+      alloc           r32=ar.pfs,1,2,4,0
+      mov             GR_Parameter_TAG = 152  // Error code
+      fmerge.ns       f10 = f0,f8
 }
+;;
 
-L(LOGB_NAN_INF): 
-
-// X NAN or INFINITY, return f8 * f8
 { .mfb
-      nop.m 999
-(p0)  fma.s      f8= f8,f8,f0
-(p0)  br.ret.sptk   b0 ;;
+      nop.m           0
+      frcpa.s0        f9,p6 = f1,f10          // Produce -inf, Z flag
+      br.cond.sptk    __libm_error_region     // Call error support
 }
+;;
 
-L(LOGB_ZERO): 
-
-// X ZERO
-// return -1.0/fabs(f8)=-inf, set divide-by-zero flag, call error support
-{ .mfi
-      nop.m 999
-(p0)  fmerge.s      f9 = f0,f8
-      nop.i 999 ;;
-}
+GLOBAL_LIBM_END(logbf)
 
-{ .mfi
-      nop.m 999
-(p0)  fmerge.ns     f10 = f0,f9
-      nop.i 999 ;;
-}
+LOCAL_LIBM_ENTRY(__libm_error_region)
+.prologue
 
 { .mfi
-      nop.m 999
-(p0)  frcpa         f10,p6 = f1,f10
-      nop.i 999 ;;
-}
-
-.endp logbf
-ASM_SIZE_DIRECTIVE(logbf)
-
-
-.proc __libm_error_region
-__libm_error_region:
-.prologue
-{ .mii
-        add   GR_Parameter_Y=-32,sp             // Parameter 2 value
-(p0)    mov   GR_Parameter_TAG = 152                   
+        add   GR_Parameter_Y=-32,sp           // Parameter 2 value
+        nop.f 0
 .save   ar.pfs,GR_SAVE_PFS
-        mov  GR_SAVE_PFS=ar.pfs                 // Save ar.pfs
+        mov  GR_SAVE_PFS=ar.pfs               // Save ar.pfs
 }
 { .mfi
 .fframe 64
-        add sp=-64,sp                           // Create new stack
+        add sp=-64,sp                         // Create new stack
         nop.f 0
-        mov GR_SAVE_GP=gp                       // Save gp
+        mov GR_SAVE_GP=gp                     // Save gp
 };;
+
 { .mmi
-        stfs [GR_Parameter_Y] = FR_Y,16         // Store Parameter 2 on stack
-        add GR_Parameter_X = 16,sp              // Parameter 1 address
+        stfs [GR_Parameter_Y] = f0,16         // STORE Parameter 2 on stack
+        add GR_Parameter_X    = 16,sp         // Parameter 1 address
 .save   b0, GR_SAVE_B0
-        mov GR_SAVE_B0=b0                       // Save b0
+        mov GR_SAVE_B0=b0                     // Save b0
 };;
+
 .body
 { .mib
-        stfs [GR_Parameter_X] = FR_X            // Store Parameter 1 on stack
-        add   GR_Parameter_RESULT = 0,GR_Parameter_Y
-        nop.b 0                                 // Parameter 3 address
+        stfs [GR_Parameter_X] = f8            // STORE Parameter 1 on stack
+        add   GR_Parameter_RESULT = 0,GR_Parameter_Y    // Parameter 3 address
+        nop.b 0
 }
 { .mib
-        stfs [GR_Parameter_Y] = FR_RESULT       // Store Parameter 3 on stack
+        stfs [GR_Parameter_Y] = f9            // Store Parameter 3 on stack
         add   GR_Parameter_Y = -16,GR_Parameter_Y
-        br.call.sptk b0=__libm_error_support#   // Call error handling function
+        br.call.sptk b0=__libm_error_support# // Call error handling function
 };;
+
 { .mmi
-        nop.m 0
-        nop.m 0
         add   GR_Parameter_RESULT = 48,sp
+        nop.m 0
+        nop.i 0
 };;
+
 { .mmi
         ldfs  f8 = [GR_Parameter_RESULT]       // Get return result off stack
 .restore sp
         add   sp = 64,sp                       // Restore stack pointer
         mov   b0 = GR_SAVE_B0                  // Restore return address
 };;
+
 { .mib
-        mov   gp = GR_SAVE_GP                  // Restore gp 
+        mov   gp = GR_SAVE_GP                  // Restore gp
         mov   ar.pfs = GR_SAVE_PFS             // Restore ar.pfs
-        br.ret.sptk     b0                     // Return
-};; 
+        br.ret.sptk   b0
+};;
 
-.endp __libm_error_region
-ASM_SIZE_DIRECTIVE(__libm_error_region)
+LOCAL_LIBM_END(__libm_error_region)
 
 
 .type   __libm_error_support#,@function
diff --git a/sysdeps/ia64/fpu/s_logbl.S b/sysdeps/ia64/fpu/s_logbl.S
index 38b131f3aa..6a08e94201 100644
--- a/sysdeps/ia64/fpu/s_logbl.S
+++ b/sysdeps/ia64/fpu/s_logbl.S
@@ -1,10 +1,10 @@
 .file "logbl.s"
 
-// Copyright (C) 2000, 2001, Intel Corporation
+
+// Copyright (c) 2000 - 2003, Intel Corporation
 // All rights reserved.
-// 
-// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story,
-// and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
 //
 // Redistribution and use in source and binary forms, with or without
 // modification, are permitted provided that the following conditions are
@@ -20,44 +20,46 @@
 // * The name of Intel Corporation may not be used to endorse or promote
 // products derived from this software without specific prior written
 // permission.
-//
-// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
-// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
-// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS 
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
 // CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
-// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, 
-// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 
-// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY 
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
 // OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
-// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 
-// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 
-// 
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+//
 // Intel Corporation is the author of this code, and requests that all
-// problem reports or change requests be submitted to it directly at 
-// http://developer.intel.com/opensource.
+// problem reports or change requests be submitted to it directly at
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
 //
 // History
 //==============================================================
-// 2/02/00  Initial version
-// 2/16/00  Modified to conform to C9X 
-// 3/16/00  Improved speed
-// 4/04/00  Unwind support added
-// 5/30/00  Fixed bug when x double-extended denormal
-// 8/15/00  Bundle added after call to __libm_error_support to properly
+// 02/02/00 Initial version
+// 02/16/00 Modified to conform to C9X
+// 03/16/00 Improved speed
+// 04/04/00 Unwind support added
+// 05/30/00 Fixed bug when x double-extended denormal
+// 08/15/00 Bundle added after call to __libm_error_support to properly
 //          set [the previously overwritten] GR_Parameter_RESULT.
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 01/20/03 Improved performance
 //
 // API
 //==============================================================
-// long double logbl( long double x);
+// long double logbl( long double x );
 //
 // Overview of operation
 //==============================================================
-// The logbl function extracts the exponent of x as an integer in 
-// floating-point format. 
+// The logbl function extracts the exponent of x as an integer in
+// floating-point format.
 // logbl computes log2 of x as a long double
 //
-// logbl is similar to ilogbl but differs in the  following ways:
+// logbl is similar to ilogbl but differs in the following ways:
 //         +-inf
 //            ilogbl: returns INT_MAX
 //             logbl: returns +inf
@@ -71,229 +73,208 @@
 //
 // Registers used
 //==============================================================
-// general registers used: 
-// ar.pfs r32 
-// r33 -> r37
-// r38 -> r41 used as parameters to error path
+// general registers used:
+// r26 -> r38
+// r35 -> r38 used as parameters to error path
 //
-// predicate registers used: 
+// predicate registers used:
 // p6, p7, p8
-//
-// floating-point registers used: 
+// floating-point registers used:
 // f9, f10, f11
 // f8, input
 
-#include "libm_support.h"
+rExpBias            = r26
+rExpMask            = r27
+rSignexp_x          = r28
+rExp_x              = r29
+rTrueExp_x          = r30
+rExp_2to64          = r31
 
 GR_SAVE_PFS         = r32
-GR_SAVE_B0          = r34
-GR_SAVE_GP          = r35
-GR_Parameter_X      = r38
-GR_Parameter_Y      = r39
-GR_Parameter_RESULT = r40
-GR_Parameter_TAG    = r41
+GR_SAVE_B0          = r33
+GR_SAVE_GP          = r34
 
-FR_X                = f8
-FR_Y                = f0
-FR_RESULT           = f10
+GR_Parameter_X      = r35
+GR_Parameter_Y      = r36
+GR_Parameter_RESULT = r37
+GR_Parameter_TAG    = r38
 
-.align 32
-.global logbl#
+fExp_in_signif      = f9
+fNorm_x             = f10
+fFloat_Exp          = f10
+f2to64              = f11
 
 .section .text
-.proc  logbl#
-.align 32
-
+GLOBAL_LIBM_ENTRY(logbl)
 
-logbl: 
-
-// qnan snan inf norm     unorm 0 -+
-// 0    0    0   0        1     0 11
-// 0                      b
-{ .mfi
-      alloc          r32=ar.pfs,1,5,4,0
-(p0)  fclass.m.unc  p8,p0 = f8, 0x0b
-      nop.i 999
-}
 // X NORMAL
-// r37 = exp(f8) - - 0xffff
-// sig(f8) = r37
+// TrueExp_x = exp(f8) - 0xffff
+// sig = TrueExp_x
 // f8 = convert_to_fp (sig))
 { .mfi
-(p0)  getf.exp      r35 = f8
-(p0)  fnorm         f10=f8
-      nop.i 999 ;;
+      getf.exp        rSignexp_x = f8
+      fclass.m        p8,p0 = f8, 0x0b   // Test for x unorm
+      mov             rExpBias = 0xffff  // Exponent bias
 }
-
-// qnan snan inf norm     unorm 0 -+
-// 1    1    1   0        0     0 11
-// e                      3
-{ .mmf
-(p0)  mov      r33 = 0xffff
-(p0)  mov      r34 = 0x1ffff
-(p0)  fclass.m.unc  p6,p0 = f8, 0xe3 ;;
+{ .mfi
+      nop.m           0
+      fnorm.s1        fNorm_x = f8
+      mov             rExpMask = 0x1ffff // Exponent mask
 }
+;;
 
+// Form signexp of 2^64 in case need to scale denormal
 { .mfb
-(p0)  and           r36 = r35, r34
-(p0)  fclass.m.unc  p7,p0 = f8, 0x07
-(p8)  br.cond.spnt  L(LOGB_DENORM) ;;
+      mov             rExp_2to64 = 0x1003f
+      fclass.m        p6,p0 = f8, 0x1e3  // Test x natval, nan, inf
+(p8)  br.cond.spnt    LOGB_DENORM        // Branch if x unorm
 }
+;;
 
-{ .mib
-(p0)  sub           r37 = r36, r33
-      nop.i 999
-(p6)  br.cond.spnt  L(LOGB_NAN_INF) ;;
+LOGB_COMMON:
+// Return here from LOGB_DENORM
+{ .mfi
+      and             rExp_x = rSignexp_x, rExpMask // Get biased exponent
+      fclass.m        p7,p0 = f8, 0x07   // Test x zero
+      nop.i           0
 }
+;;
+
+// X NAN or INFINITY, return f8 * f8
+{ .mfb
+      sub             rTrueExp_x = rExp_x, rExpBias // Get true exponent
+(p6)  fma.s0          f8= f8,f8,f0       // Result if x natval, nan, inf
+(p6)  br.ret.spnt     b0                 // Exit if x natval, nan, inf
+}
+;;
 
 { .mib
-(p0)  setf.sig      f9  = r37
+      setf.sig        fExp_in_signif = rTrueExp_x // Exponent as integer in fp
       nop.i 999
-(p7)  br.cond.spnt  L(LOGB_ZERO) ;;
-}
-{ .mfi
-      nop.m 999
-(p0)  fcvt.xf       f10 = f9
-      nop.i 999 ;;
+(p7)  br.cond.spnt    LOGB_ZERO
 }
+;;
 
+// Result can be represented in less than 24 bits, so no precision completer
+// is needed.
 { .mfb
-      nop.m 999
-(p0)  fnorm       f8 = f10
-(p0)  br.ret.sptk    b0 ;;
+      nop.m           0
+      fcvt.xf         f8 = fExp_in_signif
+      br.ret.sptk     b0                 // Exit main path, 0 < |x| < inf
 }
+;;
 
-L(LOGB_DENORM):
-// Form signexp of 2^64 in case need to scale denormal
+LOGB_DENORM:
+// Form 2^64 in case need to scale denormal
 // Check to see if double-extended denormal
 { .mfi
-(p0)  mov r38 = 0x1003f
-(p0)  fclass.m.unc  p8,p0 = f10, 0x0b
-      nop.i 999 ;;
+      setf.exp        f2to64 = rExp_2to64
+      fclass.m        p8,p0 = fNorm_x, 0x0b
+      nop.i           0
 }
+;;
 
-// Form 2^64 in case need to scale denormal
 { .mfi
-(p0)  setf.exp f11 = r38
-      nop.f 999
-      nop.i 999 ;;
+      nop.m           0
+      fcmp.eq.s0      p7,p0 = f8, f0           // Dummy op to set denormal flag
+      nop.i           0
 }
+;;
 
 // If double-extended denormal add 64 to exponent bias for scaling
 // If double-extended denormal form x * 2^64 which is normal
 { .mfi
-(p8)  add r33 = 64, r33
-(p8)  fmpy f10 = f10, f11    
-      nop.i 999 ;;
+(p8)  add             rExpBias = 64, rExpBias
+(p8)  fmpy.s1         fNorm_x = fNorm_x, f2to64
+      nop.i           0
 }
+;;
 
 // Logic is the same as normal path but use normalized input
-{ .mmi
-(p0)  getf.exp      r35 = f10 ;;
-      nop.m 999
-      nop.i 999 ;;
-}
-
-{ .mmi
-(p0)  and           r36 = r35, r34 ;;
-(p0)  sub           r37 = r36, r33
-      nop.i 999 ;;
-}
-
-{ .mmi
-(p0)  setf.sig      f9  = r37
-      nop.m 999
-      nop.i 999 ;;
+{ .mib
+      getf.exp        rSignexp_x = fNorm_x
+      nop.i           0
+      br.cond.sptk    LOGB_COMMON              // Return to main path
 }
+;;
 
-{ .mfi
-      nop.m 999
-(p0)  fcvt.xf       f10 = f9
-      nop.i 999 ;;
-}
+LOGB_ZERO:
+// Here if x zero
+// f10  = -|f8|
+// f9  = 1.0/f10 = -1.0/|f8| = -inf
 
-{ .mfb
-      nop.m 999
-(p0)  fnorm       f8 = f10
-(p0)  br.ret.sptk    b0 ;;
+{ .mmf
+      alloc           r32=ar.pfs,1,2,4,0
+      mov             GR_Parameter_TAG = 150  // Error code
+      fmerge.ns       f10 = f0,f8
 }
+;;
 
-L(LOGB_NAN_INF): 
-
-// X NAN or INFINITY, return f8 * f8
 { .mfb
-      nop.m 999
-(p0)  fma        f8= f8,f8,f0
-(p0)  br.ret.sptk   b0 ;;
+      nop.m           0
+      frcpa.s0        f9,p6 = f1,f10          // Produce -inf, Z flag
+      br.cond.sptk    __libm_error_region     // Call error support
 }
+;;
 
-L(LOGB_ZERO): 
-{.mfi
-      nop.m 0
-(p0)  frcpa.s0       f10,p6 = f1,f0
-      nop.i 0
-};;
-{.mfi
-      mov            GR_Parameter_TAG = 150
-(p0)  fms.s1         f10 = f0,f0,f10
-      nop.i 0
-};;
-// X ZERO
-// return -1.0/fabs(f8)=-inf, set divide-by-zero flag, call error support
-.endp logbl
-ASM_SIZE_DIRECTIVE(logbl)
+GLOBAL_LIBM_END(logbl)
 
-.proc __libm_error_region
-__libm_error_region:
+LOCAL_LIBM_ENTRY(__libm_error_region)
 .prologue
+
 { .mfi
-        add   GR_Parameter_Y=-32,sp             // Parameter 2 value
+        add   GR_Parameter_Y=-32,sp           // Parameter 2 value
         nop.f 0
 .save   ar.pfs,GR_SAVE_PFS
-        mov  GR_SAVE_PFS=ar.pfs                 // Save ar.pfs
+        mov  GR_SAVE_PFS=ar.pfs               // Save ar.pfs
 }
 { .mfi
 .fframe 64
-        add sp=-64,sp                           // Create new stack
+        add sp=-64,sp                         // Create new stack
         nop.f 0
-        mov GR_SAVE_GP=gp                       // Save gp
+        mov GR_SAVE_GP=gp                     // Save gp
 };;
+
 { .mmi
-        stfe [GR_Parameter_Y] = FR_Y,16         // Save Parameter 2 on stack
-        add GR_Parameter_X = 16,sp              // Parameter 1 address
+        stfe [GR_Parameter_Y] = f0,16         // STORE Parameter 2 on stack
+        add GR_Parameter_X    = 16,sp         // Parameter 1 address
 .save   b0, GR_SAVE_B0
-        mov GR_SAVE_B0=b0                       // Save b0
+        mov GR_SAVE_B0=b0                     // Save b0
 };;
+
 .body
 { .mib
-        stfe [GR_Parameter_X] = FR_X            // Store Parameter 1 on stack
-        add   GR_Parameter_RESULT = 0,GR_Parameter_Y
-        nop.b 0                                 // Parameter 3 address
+        stfe [GR_Parameter_X] = f8            // STORE Parameter 1 on stack
+        add   GR_Parameter_RESULT = 0,GR_Parameter_Y    // Parameter 3 address
+        nop.b 0
 }
 { .mib
-        stfe [GR_Parameter_Y] = FR_RESULT      // Store Parameter 3 on stack
+        stfe [GR_Parameter_Y] = f9            // Store Parameter 3 on stack
         add   GR_Parameter_Y = -16,GR_Parameter_Y
-        br.call.sptk b0=__libm_error_support#  // Call error handling function
+        br.call.sptk b0=__libm_error_support# // Call error handling function
 };;
+
 { .mmi
-        nop.m 0
-        nop.m 0
         add   GR_Parameter_RESULT = 48,sp
+        nop.m 0
+        nop.i 0
 };;
+
 { .mmi
         ldfe  f8 = [GR_Parameter_RESULT]       // Get return result off stack
 .restore sp
         add   sp = 64,sp                       // Restore stack pointer
         mov   b0 = GR_SAVE_B0                  // Restore return address
 };;
+
 { .mib
         mov   gp = GR_SAVE_GP                  // Restore gp
         mov   ar.pfs = GR_SAVE_PFS             // Restore ar.pfs
-        br.ret.sptk     b0                     // Return
+        br.ret.sptk   b0
 };;
 
-.endp __libm_error_region
-ASM_SIZE_DIRECTIVE(__libm_error_region)
+LOCAL_LIBM_END(__libm_error_region)
+
 
 .type   __libm_error_support#,@function
 .global __libm_error_support#
diff --git a/sysdeps/ia64/fpu/s_modf.S b/sysdeps/ia64/fpu/s_modf.S
index e8e672adfe..2008bbfc5c 100644
--- a/sysdeps/ia64/fpu/s_modf.S
+++ b/sysdeps/ia64/fpu/s_modf.S
@@ -1,10 +1,10 @@
 .file "modf.s"
 
-// Copyright (C) 2000, 2001, Intel Corporation
+
+// Copyright (c) 2000 - 2003, Intel Corporation
 // All rights reserved.
-// 
-// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story,
-// and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
 //
 // Redistribution and use in source and binary forms, with or without
 // modification, are permitted provided that the following conditions are
@@ -20,7 +20,7 @@
 // * The name of Intel Corporation may not be used to endorse or promote
 // products derived from this software without specific prior written
 // permission.
-//
+
 // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
 // "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
@@ -35,14 +35,16 @@
 // 
 // Intel Corporation is the author of this code, and requests that all
 // problem reports or change requests be submitted to it directly at 
-// http://developer.intel.com/opensource.
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
 //
 // History
 //==============================================================
-// 2/02/00: Initial version
-// 4/04/00: Improved speed, corrected result for NaN input
+// 02/02/00 Initial version
+// 04/04/00 Improved speed, corrected result for NaN input
 // 12/22/00 Fixed so inexact flag is never set, and invalid is not set for 
 //            qnans nor for inputs larger than 2^63.
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 02/10/03 Reordered header: .section, .global, .proc, .align
 //
 // API
 //==============================================================
@@ -97,8 +99,6 @@
 //    p13 --------------------------------------------------->|
 //
 
-#include "libm_support.h"
-
 // floating-point registers used: 
 MODF_NORM_F8               = f9
 MODF_FRACTION_PART         = f10
@@ -115,23 +115,17 @@ modf_exp        = r18
 // r33 = iptr
      
 
-.align 32
-.global modf#
-
 .section .text
-.proc  modf#
-.align 32
-
+GLOBAL_LIBM_ENTRY(modf)
 
 // Main path is p9, p11, p8 FALSE and p12 TRUE
 
 // Assume input is normalized and get signexp
 // Normalize input just in case
 // Form exponent bias 
-modf: 
 { .mfi
       getf.exp  modf_signexp = f8
-      fnorm          MODF_NORM_F8  = f8
+      fnorm.s0          MODF_NORM_F8  = f8
       addl           modf_GR_FFFF  = 0xffff, r0
 }
 // Get integer part of input
@@ -176,10 +170,10 @@ modf:
 { .mfb
 (p10) cmp.ge.unc p9,p12  = modf_exp, modf_GR_no_frac
 (p6)  fclass.m.unc p6,p7 = f8, 0x23
-(p8)  br.cond.spnt L(MODF_DENORM) ;;
+(p8)  br.cond.spnt MODF_DENORM ;;
 }
 
-L(MODF_COMMON):
+MODF_COMMON:
 // For HUGE set fraction to signed 0
 { .mfi
       nop.m 999
@@ -189,7 +183,7 @@ L(MODF_COMMON):
 // For HUGE set integer part to normalized input
 { .mfi
       nop.m 999
-(p9)  fnorm.d MODF_INTEGER_PART = MODF_NORM_F8
+(p9)  fnorm.d.s0 MODF_INTEGER_PART = MODF_NORM_F8
       nop.i 999 ;;
 }
 
@@ -201,7 +195,7 @@ L(MODF_COMMON):
 }
 { .mfi
       nop.m 999
-(p11) fnorm.d f8 = MODF_NORM_F8
+(p11) fnorm.d.s0 f8 = MODF_NORM_F8
       nop.i 999 ;;
 }
 
@@ -242,7 +236,7 @@ L(MODF_COMMON):
 // For NORMAL test if fraction part is zero; if so append correct sign
 { .mfi
       nop.m 999
-(p12) fcmp.eq.unc p7,p0 = MODF_NORM_F8, MODF_INTEGER_PART
+(p12) fcmp.eq.unc.s0 p7,p0 = MODF_NORM_F8, MODF_INTEGER_PART
       nop.i 999 ;;
 }
 
@@ -259,7 +253,7 @@ L(MODF_COMMON):
       br.ret.sptk    b0 ;;
 }
 
-L(MODF_DENORM):
+MODF_DENORM:
 // If x unorm get signexp from normalized input
 // If x unorm get integer part from normalized input
 { .mfi
@@ -278,8 +272,7 @@ L(MODF_DENORM):
 { .mfb
 (p10) cmp.ge.unc p9,p12  = modf_exp, modf_GR_no_frac
       nop.f 999
-      br.cond.spnt L(MODF_COMMON) ;;
+      br.cond.spnt MODF_COMMON ;;
 }
 
-.endp modf
-ASM_SIZE_DIRECTIVE(modf)
+GLOBAL_LIBM_END(modf)
diff --git a/sysdeps/ia64/fpu/s_modff.S b/sysdeps/ia64/fpu/s_modff.S
index 6aa43c884d..edc1120971 100644
--- a/sysdeps/ia64/fpu/s_modff.S
+++ b/sysdeps/ia64/fpu/s_modff.S
@@ -1,10 +1,10 @@
 .file "modff.s"
 
-// Copyright (C) 2000, 2001, Intel Corporation
+
+// Copyright (c) 2000 - 2003, Intel Corporation
 // All rights reserved.
-// 
-// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story,
-// and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
 //
 // Redistribution and use in source and binary forms, with or without
 // modification, are permitted provided that the following conditions are
@@ -20,7 +20,7 @@
 // * The name of Intel Corporation may not be used to endorse or promote
 // products derived from this software without specific prior written
 // permission.
-//
+
 // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
 // "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
@@ -35,14 +35,16 @@
 // 
 // Intel Corporation is the author of this code, and requests that all
 // problem reports or change requests be submitted to it directly at 
-// http://developer.intel.com/opensource.
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
 //
 // History
 //==============================================================
-// 2/02/00: Initial version
-// 4/04/00: Improved speed, corrected result for NaN input
+// 02/02/00 Initial version
+// 04/04/00 Improved speed, corrected result for NaN input
 // 12/22/00 Fixed so inexact flag is never set, and invalid is not set for 
 //            qnans nor for inputs larger than 2^63.
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 02/10/03 Reordered header: .section, .global, .proc, .align
 //
 // API
 //==============================================================
@@ -97,8 +99,6 @@
 //    p13 --------------------------------------------------->|
 //
 
-#include "libm_support.h"
-
 // floating-point registers used: 
 MODF_NORM_F8               = f9
 MODF_FRACTION_PART         = f10
@@ -115,23 +115,17 @@ modf_exp        = r18
 // r33 = iptr
      
 
-.align 32
-.global modff#
-
 .section .text
-.proc  modff#
-.align 32
-
+GLOBAL_LIBM_ENTRY(modff)
 
 // Main path is p9, p11, p8 FALSE and p12 TRUE
 
 // Assume input is normalized and get signexp
 // Normalize input just in case
 // Form exponent bias 
-modff: 
 { .mfi
       getf.exp  modf_signexp = f8
-      fnorm          MODF_NORM_F8  = f8
+      fnorm.s0          MODF_NORM_F8  = f8
       addl           modf_GR_FFFF  = 0xffff, r0
 }
 // Get integer part of input
@@ -176,10 +170,10 @@ modff:
 { .mfb
 (p10) cmp.ge.unc p9,p12  = modf_exp, modf_GR_no_frac
 (p6)  fclass.m.unc p6,p7 = f8, 0x23
-(p8)  br.cond.spnt L(MODF_DENORM) ;;
+(p8)  br.cond.spnt MODF_DENORM ;;
 }
 
-L(MODF_COMMON):
+MODF_COMMON:
 // For HUGE set fraction to signed 0
 { .mfi
       nop.m 999
@@ -189,7 +183,7 @@ L(MODF_COMMON):
 // For HUGE set integer part to normalized input
 { .mfi
       nop.m 999
-(p9)  fnorm.s MODF_INTEGER_PART = MODF_NORM_F8
+(p9)  fnorm.s.s0 MODF_INTEGER_PART = MODF_NORM_F8
       nop.i 999 ;;
 }
 
@@ -201,7 +195,7 @@ L(MODF_COMMON):
 }
 { .mfi
       nop.m 999
-(p11) fnorm.s f8 = MODF_NORM_F8
+(p11) fnorm.s.s0 f8 = MODF_NORM_F8
       nop.i 999 ;;
 }
 
@@ -242,7 +236,7 @@ L(MODF_COMMON):
 // For NORMAL test if fraction part is zero; if so append correct sign
 { .mfi
       nop.m 999
-(p12) fcmp.eq.unc p7,p0 = MODF_NORM_F8, MODF_INTEGER_PART
+(p12) fcmp.eq.unc.s0 p7,p0 = MODF_NORM_F8, MODF_INTEGER_PART
       nop.i 999 ;;
 }
 
@@ -259,7 +253,7 @@ L(MODF_COMMON):
       br.ret.sptk    b0 ;;
 }
 
-L(MODF_DENORM):
+MODF_DENORM:
 // If x unorm get signexp from normalized input
 // If x unorm get integer part from normalized input
 { .mfi
@@ -278,8 +272,7 @@ L(MODF_DENORM):
 { .mfb
 (p10) cmp.ge.unc p9,p12  = modf_exp, modf_GR_no_frac
       nop.f 999
-      br.cond.spnt L(MODF_COMMON) ;;
+      br.cond.spnt MODF_COMMON ;;
 }
 
-.endp modff
-ASM_SIZE_DIRECTIVE(modff)
+GLOBAL_LIBM_END(modff)
diff --git a/sysdeps/ia64/fpu/s_modfl.S b/sysdeps/ia64/fpu/s_modfl.S
index b5eb509adf..eaf410cb6c 100644
--- a/sysdeps/ia64/fpu/s_modfl.S
+++ b/sysdeps/ia64/fpu/s_modfl.S
@@ -1,10 +1,10 @@
 .file "modfl.s"
 
-// Copyright (C) 2000, 2001, Intel Corporation
+
+// Copyright (c) 2000 - 2003, Intel Corporation
 // All rights reserved.
-// 
-// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story,
-// and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
 //
 // Redistribution and use in source and binary forms, with or without
 // modification, are permitted provided that the following conditions are
@@ -20,7 +20,7 @@
 // * The name of Intel Corporation may not be used to endorse or promote
 // products derived from this software without specific prior written
 // permission.
-//
+
 // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
 // "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
@@ -35,15 +35,17 @@
 // 
 // Intel Corporation is the author of this code, and requests that all
 // problem reports or change requests be submitted to it directly at 
-// http://developer.intel.com/opensource.
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
 //
 // History
 //==============================================================
-// 2/02/00: Initial version
-// 4/04/00: Improved speed, corrected result for NaN input
-// 5/30/00  Fixed bug for exponent 0x1003e
+// 02/02/00 Initial version
+// 04/04/00 Improved speed, corrected result for NaN input
+// 05/30/00 Fixed bug for exponent 0x1003e
 // 12/22/00 Fixed so inexact flag is never set, and invalid is not set for 
 //            qnans nor for inputs larger than 2^63.
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 02/10/03 Reordered header: .section, .global, .proc, .align
 //
 // API
 //==============================================================
@@ -92,8 +94,6 @@
 //    p13 --------------------------------------------------->|
 //
 
-#include "libm_support.h"
-
 // floating-point registers used: 
 MODF_NORM_F8               = f9
 MODF_FRACTION_PART         = f10
@@ -110,23 +110,17 @@ modf_exp        = r18
 // r34 = iptr
      
 
-.align 32
-.global modfl#
-
 .section .text
-.proc  modfl#
-.align 32
-
+GLOBAL_LIBM_ENTRY(modfl)
 
 // Main path is p9, p11, p8 FALSE and p12 TRUE
 
 // Assume input is normalized and get signexp
 // Normalize input just in case
 // Form exponent bias 
-modfl: 
 { .mfi
       getf.exp  modf_signexp = f8
-      fnorm          MODF_NORM_F8  = f8
+      fnorm.s0          MODF_NORM_F8  = f8
       addl           modf_GR_FFFF  = 0xffff, r0
 }
 // Get integer part of input
@@ -171,10 +165,10 @@ modfl:
 { .mfb
 (p10) cmp.ge.unc p9,p12  = modf_exp, modf_GR_no_frac
 (p6)  fclass.m.unc p6,p7 = f8, 0x23
-(p8)  br.cond.spnt L(MODF_DENORM) ;;
+(p8)  br.cond.spnt MODF_DENORM ;;
 }
 
-L(MODF_COMMON):
+MODF_COMMON:
 // For HUGE set fraction to signed 0
 { .mfi
       nop.m 999
@@ -184,7 +178,7 @@ L(MODF_COMMON):
 // For HUGE set integer part to normalized input
 { .mfi
       nop.m 999
-(p9)  fnorm MODF_INTEGER_PART = MODF_NORM_F8
+(p9)  fnorm.s0 MODF_INTEGER_PART = MODF_NORM_F8
       nop.i 999 ;;
 }
 
@@ -196,7 +190,7 @@ L(MODF_COMMON):
 }
 { .mfi
       nop.m 999
-(p11) fnorm   f8 = MODF_NORM_F8
+(p11) fnorm.s0   f8 = MODF_NORM_F8
       nop.i 999 ;;
 }
 
@@ -237,7 +231,7 @@ L(MODF_COMMON):
 // For NORMAL test if fraction part is zero; if so append correct sign
 { .mfi
       nop.m 999
-(p12) fcmp.eq.unc p7,p0 = MODF_NORM_F8, MODF_INTEGER_PART
+(p12) fcmp.eq.unc.s0 p7,p0 = MODF_NORM_F8, MODF_INTEGER_PART
       nop.i 999 ;;
 }
 
@@ -254,7 +248,7 @@ L(MODF_COMMON):
       br.ret.sptk    b0 ;;
 }
 
-L(MODF_DENORM):
+MODF_DENORM:
 // If x unorm get signexp from normalized input
 // If x unorm get integer part from normalized input
 { .mfi
@@ -273,8 +267,7 @@ L(MODF_DENORM):
 { .mfb
 (p10) cmp.ge.unc p9,p12  = modf_exp, modf_GR_no_frac
       nop.f 999
-      br.cond.spnt L(MODF_COMMON) ;;
+      br.cond.spnt MODF_COMMON ;;
 }
 
-.endp modfl
-ASM_SIZE_DIRECTIVE(modfl)
+GLOBAL_LIBM_END(modfl)
diff --git a/sysdeps/ia64/fpu/s_nearbyint.S b/sysdeps/ia64/fpu/s_nearbyint.S
index 6ee01ea260..cba74e61d3 100644
--- a/sysdeps/ia64/fpu/s_nearbyint.S
+++ b/sysdeps/ia64/fpu/s_nearbyint.S
@@ -1,11 +1,10 @@
 .file "nearbyint.s"
 
-// Copyright (C) 2000, 2001, Intel Corporation
+
+// Copyright (c) 2000 - 2003, Intel Corporation
 // All rights reserved.
-// 
-// Contributed 10/19/2000 by John Harrison, Cristina Iordache, Ted Kubaska,
-// Bob Norin, Tom Rowan, Shane Story, and Ping Tak Peter Tang of the
-// Computational Software Lab, Intel Corporation.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
 //
 // Redistribution and use in source and binary forms, with or without
 // modification, are permitted provided that the following conditions are
@@ -21,7 +20,7 @@
 // * The name of Intel Corporation may not be used to endorse or promote
 // products derived from this software without specific prior written
 // permission.
-//
+
 // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
 // "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
@@ -36,20 +35,19 @@
 // 
 // Intel Corporation is the author of this code, and requests that all
 // problem reports or change requests be submitted to it directly at 
-// http://developer.intel.com/opensource.
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
 //
 // History
 //==============================================================
-// 10/19/2000: Created
-// 2/08/01  Corrected behavior for all rounding modes.
+// 10/19/00 Created
+// 02/08/01 Corrected behavior for all rounding modes.
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 02/10/03 Reordered header: .section, .global, .proc, .align
 //==============================================================
 //
 // API
 //==============================================================
 // double nearbyint(double x)
-
-#include "libm_support.h"
-
 //
 // general registers used:  
 //
@@ -110,15 +108,8 @@ NEARBYINT_INT_f8       = f11
 // 1    1    1   0        0     1 11     0xe7
 
 
-.align 32
-.global nearbyint#
-
 .section .text
-.proc  nearbyint#
-.align 32
-
-
-nearbyint: 
+GLOBAL_LIBM_ENTRY(nearbyint)
 
 { .mfi
       mov nearbyint_GR_fpsr = ar40    // Read the fpsr--need to check rc.s0
@@ -141,7 +132,7 @@ nearbyint:
 
 { .mfb
 	nop.m 999
-(p6)  fnorm.d f8 = f8
+(p6)  fnorm.d.s0 f8 = f8
 (p6)  br.ret.spnt   b0    // Exit if x nan, inf, zero
 ;;
 }
@@ -177,11 +168,11 @@ nearbyint:
 
 // Check to see if s0 rounding mode is round to nearest.  If not then set s2
 // rounding mode to that of s0 and repeat conversions.
-L(NEARBYINT_COMMON):
+NEARBYINT_COMMON:
 { .mfb
       cmp.ne   p11,p0 = nearbyint_GR_rcs0, r0
 (p6) fclass.m.unc   p9,p10  = NEARBYINT_FLOAT_INT_f8, 0x07  // Test for result=0
-(p11) br.cond.spnt L(NEARBYINT_NOT_ROUND_NEAREST)  // Branch if not round to nearest
+(p11) br.cond.spnt NEARBYINT_NOT_ROUND_NEAREST  // Branch if not round to nearest
 ;;
 }
 
@@ -200,13 +191,13 @@ L(NEARBYINT_COMMON):
 }
 { .mfb
       nop.m 999
-(p10) fnorm.d f8 = NEARBYINT_FLOAT_INT_f8
+(p10) fnorm.d.s0 f8 = NEARBYINT_FLOAT_INT_f8
      br.ret.sptk    b0
 ;;                             
 }
 
 
-L(NEARBYINT_NOT_ROUND_NEAREST):
+NEARBYINT_NOT_ROUND_NEAREST:
 // Set rounding mode of s2 to that of s0
 { .mfi
       mov nearbyint_GR_rcs0 = r0       // Clear so we don't come back here
@@ -225,10 +216,9 @@ L(NEARBYINT_NOT_ROUND_NEAREST):
 { .mfb
 	nop.m 999
       fcvt.xf         NEARBYINT_FLOAT_INT_f8   = NEARBYINT_INT_f8
-      br.cond.sptk  L(NEARBYINT_COMMON)
+      br.cond.sptk  NEARBYINT_COMMON
 ;;
 }
 
 
-.endp nearbyint
-ASM_SIZE_DIRECTIVE(nearbyint)
+GLOBAL_LIBM_END(nearbyint)
diff --git a/sysdeps/ia64/fpu/s_nearbyintf.S b/sysdeps/ia64/fpu/s_nearbyintf.S
index 7050ddc52c..6471232513 100644
--- a/sysdeps/ia64/fpu/s_nearbyintf.S
+++ b/sysdeps/ia64/fpu/s_nearbyintf.S
@@ -1,11 +1,10 @@
 .file "nearbyintf.s"
 
-// Copyright (C) 2000, 2001, Intel Corporation
+
+// Copyright (c) 2000 - 2003, Intel Corporation
 // All rights reserved.
-// 
-// Contributed 10/19/2000 by John Harrison, Cristina Iordache, Ted Kubaska,
-// Bob Norin, Tom Rowan, Shane Story, and Ping Tak Peter Tang of the
-// Computational Software Lab, Intel Corporation.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
 //
 // Redistribution and use in source and binary forms, with or without
 // modification, are permitted provided that the following conditions are
@@ -21,7 +20,7 @@
 // * The name of Intel Corporation may not be used to endorse or promote
 // products derived from this software without specific prior written
 // permission.
-//
+
 // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
 // "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
@@ -36,20 +35,19 @@
 // 
 // Intel Corporation is the author of this code, and requests that all
 // problem reports or change requests be submitted to it directly at 
-// http://developer.intel.com/opensource.
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
 //
 // History
 //==============================================================
-// 10/19/2000: Created
-// 2/08/01  Corrected behavior for all rounding modes.
+// 10/19/00 Created
+// 02/08/01 Corrected behavior for all rounding modes.
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 02/10/03 Reordered header: .section, .global, .proc, .align
 //==============================================================
 //
 // API
 //==============================================================
 // float nearbyintf(float x)
-
-#include "libm_support.h"
-
 //
 // general registers used:  
 //
@@ -110,15 +108,8 @@ NEARBYINT_INT_f8       = f11
 // 1    1    1   0        0     1 11     0xe7
 
 
-.align 32
-.global nearbyintf#
-
 .section .text
-.proc  nearbyintf#
-.align 32
-
-
-nearbyintf: 
+GLOBAL_LIBM_ENTRY(nearbyintf)
 
 { .mfi
       mov nearbyint_GR_fpsr = ar40           // Read the fpsr--need to check rc.s0
@@ -141,7 +132,7 @@ nearbyintf:
 
 { .mfb
 	nop.m 999
-(p6)  fnorm.s f8 = f8
+(p6)  fnorm.s.s0 f8 = f8
 (p6)  br.ret.spnt   b0    // Exit if x nan, inf, zero
 ;;
 }
@@ -177,11 +168,11 @@ nearbyintf:
 
 // Check to see if s0 rounding mode is round to nearest.  If not then set s2
 // rounding mode to that of s0 and repeat conversions.
-L(NEARBYINT_COMMON):
+NEARBYINT_COMMON:
 { .mfb
       cmp.ne   p11,p0 = nearbyint_GR_rcs0, r0
 (p6) fclass.m.unc   p9,p10  = NEARBYINT_FLOAT_INT_f8, 0x07  // Test for result=0
-(p11) br.cond.spnt L(NEARBYINT_NOT_ROUND_NEAREST)  // Branch if not round to nearest
+(p11) br.cond.spnt NEARBYINT_NOT_ROUND_NEAREST  // Branch if not round to nearest
 ;;
 }
 
@@ -200,13 +191,13 @@ L(NEARBYINT_COMMON):
 }
 { .mfb
       nop.m 999
-(p10) fnorm.s f8 = NEARBYINT_FLOAT_INT_f8
+(p10) fnorm.s.s0 f8 = NEARBYINT_FLOAT_INT_f8
      br.ret.sptk    b0
 ;;
 }
 
 
-L(NEARBYINT_NOT_ROUND_NEAREST):
+NEARBYINT_NOT_ROUND_NEAREST:
 // Set rounding mode of s2 to that of s0
 { .mfi
       mov nearbyint_GR_rcs0 = r0       // Clear so we don't come back here
@@ -225,10 +216,9 @@ L(NEARBYINT_NOT_ROUND_NEAREST):
 { .mfb
 	nop.m 999
       fcvt.xf         NEARBYINT_FLOAT_INT_f8   = NEARBYINT_INT_f8
-      br.cond.sptk  L(NEARBYINT_COMMON)
+      br.cond.sptk  NEARBYINT_COMMON
 ;;
 }
 
 
-.endp nearbyintf
-ASM_SIZE_DIRECTIVE(nearbyintf)
+GLOBAL_LIBM_END(nearbyintf)
diff --git a/sysdeps/ia64/fpu/s_nearbyintl.S b/sysdeps/ia64/fpu/s_nearbyintl.S
index 95ba6ab260..9c4c2e4f16 100644
--- a/sysdeps/ia64/fpu/s_nearbyintl.S
+++ b/sysdeps/ia64/fpu/s_nearbyintl.S
@@ -1,11 +1,10 @@
 .file "nearbyintl.s"
 
-// Copyright (C) 2000, 2001, Intel Corporation
+
+// Copyright (c) 2000 - 2003, Intel Corporation
 // All rights reserved.
-// 
-// Contributed 10/19/2000 by John Harrison, Cristina Iordache, Ted Kubaska,
-// Bob Norin, Tom Rowan, Shane Story, and Ping Tak Peter Tang of the
-// Computational Software Lab, Intel Corporation.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
 //
 // Redistribution and use in source and binary forms, with or without
 // modification, are permitted provided that the following conditions are
@@ -21,7 +20,7 @@
 // * The name of Intel Corporation may not be used to endorse or promote
 // products derived from this software without specific prior written
 // permission.
-//
+
 // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
 // "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
@@ -36,20 +35,19 @@
 // 
 // Intel Corporation is the author of this code, and requests that all
 // problem reports or change requests be submitted to it directly at 
-// http://developer.intel.com/opensource.
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
 //
 // History
 //==============================================================
-// 10/19/2000: Created
-// 2/08/01  Corrected behavior for all rounding modes.
+// 10/19/00 Created
+// 02/08/01 Corrected behavior for all rounding modes.
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 02/10/03 Reordered header: .section, .global, .proc, .align
 //==============================================================
 //
 // API
 //==============================================================
 // long double nearbyintl(long double x)
-
-#include "libm_support.h"
-
 //
 // general registers used:  
 //
@@ -111,15 +109,8 @@ NEARBYINT_SIGNED_FLOAT_INT_f8 = f12
 // 1    1    1   0        0     1 11     0xe7
 
 
-.align 32
-.global nearbyintl#
-
 .section .text
-.proc  nearbyintl#
-.align 32
-
-
-nearbyintl: 
+GLOBAL_LIBM_ENTRY(nearbyintl)
 
 { .mfi
       mov nearbyint_GR_fpsr = ar40           // Read the fpsr--need to check rc.s0
@@ -142,7 +133,7 @@ nearbyintl:
 
 { .mfb
 	nop.m 999
-(p6)  fnorm f8 = f8
+(p6)  fnorm.s0 f8 = f8
 (p6)  br.ret.spnt   b0    // Exit if x nan, inf, zero
 ;;
 }
@@ -180,11 +171,11 @@ nearbyintl:
 // rounding mode to that of s0 and repeat conversions.
 // Must merge the original sign for cases where the result is zero or the input
 // is the largest that still has a fraction (0x1007dfffffffffff)
-L(NEARBYINT_COMMON):
+NEARBYINT_COMMON:
 { .mfb
       cmp.ne   p11,p0 = nearbyint_GR_rcs0, r0
 (p6) fmerge.s  NEARBYINT_SIGNED_FLOAT_INT_f8 = f8, NEARBYINT_FLOAT_INT_f8
-(p11) br.cond.spnt L(NEARBYINT_NOT_ROUND_NEAREST)  // Branch if not round to nearest
+(p11) br.cond.spnt NEARBYINT_NOT_ROUND_NEAREST  // Branch if not round to nearest
 ;;
 }
 
@@ -197,13 +188,13 @@ L(NEARBYINT_COMMON):
 
 { .mfb
       nop.m 999
-(p6) fnorm f8 = NEARBYINT_SIGNED_FLOAT_INT_f8
+(p6) fnorm.s0 f8 = NEARBYINT_SIGNED_FLOAT_INT_f8
      br.ret.sptk    b0
 ;;
 }
 
 
-L(NEARBYINT_NOT_ROUND_NEAREST):
+NEARBYINT_NOT_ROUND_NEAREST:
 // Set rounding mode of s2 to that of s0
 { .mfi
       mov nearbyint_GR_rcs0 = r0       // Clear so we don't come back here
@@ -222,10 +213,9 @@ L(NEARBYINT_NOT_ROUND_NEAREST):
 { .mfb
 	nop.m 999
       fcvt.xf         NEARBYINT_FLOAT_INT_f8   = NEARBYINT_INT_f8
-      br.cond.sptk  L(NEARBYINT_COMMON)
+      br.cond.sptk  NEARBYINT_COMMON
 ;;
 }
 
 
-.endp nearbyintl
-ASM_SIZE_DIRECTIVE(nearbyintl)
+GLOBAL_LIBM_END(nearbyintl)
diff --git a/sysdeps/ia64/fpu/s_nextafter.S b/sysdeps/ia64/fpu/s_nextafter.S
new file mode 100644
index 0000000000..8c77aa492b
--- /dev/null
+++ b/sysdeps/ia64/fpu/s_nextafter.S
@@ -0,0 +1,495 @@
+.file "nextafter.s"
+
+
+// Copyright (c) 2000 - 2003, Intel Corporation
+// All rights reserved.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
+//
+// Redistribution and use in source and binary forms, with or without
+// modification, are permitted provided that the following conditions are
+// met:
+//
+// * Redistributions of source code must retain the above copyright
+// notice, this list of conditions and the following disclaimer.
+//
+// * Redistributions in binary form must reproduce the above copyright
+// notice, this list of conditions and the following disclaimer in the
+// documentation and/or other materials provided with the distribution.
+//
+// * The name of Intel Corporation may not be used to endorse or promote
+// products derived from this software without specific prior written
+// permission.
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
+// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS 
+// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, 
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY 
+// OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 
+// 
+// Intel Corporation is the author of this code, and requests that all
+// problem reports or change requests be submitted to it directly at 
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
+//
+// History
+//==============================================================
+// 02/02/00 Initial version 
+// 03/03/00 Modified to conform to C9X, and improve speed of main path
+// 03/14/00 Fixed case where x is a power of 2, and x > y, improved speed
+// 04/04/00 Unwind support added
+// 05/12/00 Fixed erroneous denormal flag setting for exponent change cases 1,3
+// 08/15/00 Bundle added after call to __libm_error_support to properly
+//          set [the previously overwritten] GR_Parameter_RESULT.
+// 09/09/00 Updated fcmp so that qnans do not raise invalid
+// 12/15/00 Corrected behavior when both args are zero to conform to C99, and
+//          fixed flag settings for several cases
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 02/10/03 Reordered header: .section, .global, .proc, .align
+//
+// API
+//==============================================================
+// double nextafter( double x, double y );
+// input  floating point f8, f9
+// output floating point f8
+//
+// Registers used
+//==============================================================
+nextafter_GR_max_pexp     = r14
+nextafter_GR_min_pexp     = r15
+nextafter_GR_exp          = r16
+nextafter_GR_sig          = r17
+nextafter_GR_lnorm_sig    = r18
+nextafter_GR_sign_mask    = r19
+nextafter_GR_exp_mask     = r20
+nextafter_GR_sden_sig     = r21
+nextafter_GR_new_sig      = r22
+nextafter_GR_new_exp      = r23
+nextafter_GR_lden_sig     = r24
+nextafter_GR_snorm_sig    = r25
+nextafter_GR_exp1         = r26
+nextafter_GR_x_exp        = r27
+nextafter_GR_min_den_rexp = r28
+// r36-39 parameters for libm_error_support
+
+GR_SAVE_B0                = r34
+GR_SAVE_GP                = r35
+GR_SAVE_PFS               = r32
+
+GR_Parameter_X            = r36
+GR_Parameter_Y            = r37
+GR_Parameter_RESULT       = r38
+
+NEXTAFTER_lnorm_sig       = f10
+NEXTAFTER_lnorm_exp       = f11
+NEXTAFTER_lnorm           = f12
+NEXTAFTER_sden_sig        = f13
+NEXTAFTER_sden_exp        = f14
+NEXTAFTER_sden            = f15
+NEXTAFTER_save_f8         = f33
+NEXTAFTER_new_exp         = f34
+NEXTAFTER_new_sig         = f35
+NEXTAFTER_lden_sig        = f36
+NEXTAFTER_snorm_sig       = f37
+NEXTAFTER_exp1            = f38
+NEXTAFTER_tmp             = f39
+
+//
+// Overview of operation
+//==============================================================
+// nextafter determines the next representable value 
+// after x in the direction of y. 
+
+
+.section .text
+GLOBAL_LIBM_ENTRY(nextafter)
+
+// Extract signexp from x
+// Is x < y ?  p10 if yes, p11 if no
+// Form smallest denormal significand = ulp size
+{ .mfi
+      getf.exp nextafter_GR_exp      = f8
+      fcmp.lt.s1 p10,p11 = f8, f9                
+      addl nextafter_GR_sden_sig = 0x800, r0
+}
+// Form largest normal significand 0xfffffffffffff800
+// Form smallest normal exponent
+{ .mfi
+      addl nextafter_GR_lnorm_sig = -0x800,r0
+      nop.f 999
+      addl nextafter_GR_min_pexp = 0x0fc01, r0 ;;
+}
+// Extract significand from x
+// Is x=y?
+// Form largest normal exponent
+{ .mfi
+      getf.sig nextafter_GR_sig      = f8
+      fcmp.eq.s0 p6,p0 = f8, f9                
+      addl nextafter_GR_max_pexp = 0x103fe, r0
+}
+// Move largest normal significand to fp reg for special cases
+{ .mfi
+      setf.sig NEXTAFTER_lnorm_sig = nextafter_GR_lnorm_sig
+      nop.f 999
+      addl nextafter_GR_sign_mask = 0x20000, r0 ;;
+}
+
+// Move smallest denormal significand and signexp to fp regs
+// Is x=nan?
+// Set p12 and p13 based on whether significand increases or decreases
+// It increases (p12 set) if x<y and x>=0 or if x>y and x<0
+// It decreases (p13 set) if x<y and x<0  or if x>y and x>=0
+{ .mfi
+      setf.sig NEXTAFTER_sden_sig = nextafter_GR_sden_sig
+      fclass.m  p8,p0 = f8, 0xc3           
+(p10) cmp.lt p12,p13 = nextafter_GR_exp, nextafter_GR_sign_mask
+}
+{ .mfi
+      setf.exp NEXTAFTER_sden_exp = nextafter_GR_min_pexp
+(p11) cmp.ge p12,p13 = nextafter_GR_exp, nextafter_GR_sign_mask ;;
+}
+
+.pred.rel "mutex",p12,p13
+
+// Form expected new significand, adding or subtracting 1 ulp increment
+// If x=y set result to y
+// Form smallest normal significand and largest denormal significand
+{ .mfi
+(p12) add nextafter_GR_new_sig = nextafter_GR_sig, nextafter_GR_sden_sig
+(p6)  fmerge.s f8=f9,f9
+      dep.z nextafter_GR_snorm_sig = 1,63,1 // 0x8000000000000000
+}
+{ .mlx
+(p13) sub nextafter_GR_new_sig = nextafter_GR_sig, nextafter_GR_sden_sig
+      movl nextafter_GR_lden_sig = 0x7ffffffffffff800 ;;
+}
+
+// Move expected result significand and signexp to fp regs
+// Is y=nan?
+// Form new exponent in case result exponent needs incrementing or decrementing
+{ .mfi
+      setf.exp NEXTAFTER_new_exp = nextafter_GR_exp
+      fclass.m  p9,p0 = f9, 0xc3           
+(p12) add nextafter_GR_exp1 = 1, nextafter_GR_exp
+}
+{ .mib
+      setf.sig NEXTAFTER_new_sig = nextafter_GR_new_sig
+(p13) add nextafter_GR_exp1 = -1, nextafter_GR_exp
+(p6)  br.ret.spnt    b0 ;;             // Exit if x=y
+}
+
+// Move largest normal signexp to fp reg for special cases
+// Is x=zero?
+{ .mfi
+      setf.exp NEXTAFTER_lnorm_exp = nextafter_GR_max_pexp
+      fclass.m  p7,p0 = f8, 0x7
+      nop.i 999
+}
+{ .mfb
+      nop.m 999
+(p8)  fma.s0 f8 = f8,f1,f9                     
+(p8)  br.ret.spnt    b0 ;;             // Exit if x=nan
+}
+
+// Move exp+-1 and smallest normal significand to fp regs for special cases
+// Is x=inf?
+{ .mfi
+      setf.exp NEXTAFTER_exp1 = nextafter_GR_exp1
+      fclass.m  p6,p0 = f8, 0x23           
+      addl nextafter_GR_exp_mask = 0x1ffff, r0
+}
+{ .mfb
+      setf.sig NEXTAFTER_snorm_sig = nextafter_GR_snorm_sig
+(p9)  fma.s0 f8 = f8,f1,f9                     
+(p9)  br.ret.spnt    b0 ;;             // Exit if y=nan
+}
+
+// Move largest denormal significand to fp regs for special cases
+// Save x
+{ .mfb
+      setf.sig NEXTAFTER_lden_sig = nextafter_GR_lden_sig
+      mov NEXTAFTER_save_f8 = f8
+(p7)  br.cond.spnt NEXTAFTER_ZERO ;;   // Exit if x=0   
+}
+
+// Mask off the sign to get x_exp
+{ .mfb
+      and nextafter_GR_x_exp = nextafter_GR_exp_mask, nextafter_GR_exp
+      nop.f 999
+(p6)  br.cond.spnt NEXTAFTER_INF ;;   // Exit if x=inf   
+}
+
+// Check 6 special cases when significand rolls over:
+//  1 sig size incr, x_sig=max_sig, x_exp < max_exp
+//     Set p6, result is sig=min_sig, exp++
+//  2 sig size incr, x_sig=max_sig, x_exp >= max_exp
+//     Set p7, result is inf, signal overflow
+//  3 sig size decr, x_sig=min_sig, x_exp > min_exp
+//     Set p8, result is sig=max_sig, exp--
+//  4 sig size decr, x_sig=min_sig, x_exp = min_exp
+//     Set p9, result is sig=max_den_sig, exp same, signal underflow and inexact
+//  5 sig size decr, x_sig=min_den_sig, x_exp = min_exp
+//     Set p10, result is zero, sign of x, signal underflow and inexact
+//  6 sig size decr, x_sig=min_sig, x_exp < min_exp 
+//     Set p14, result is zero, sign of x, signal underflow and inexact
+//
+// Form exponent of smallest double denormal (if normalized register format)
+{ .mmi
+      adds nextafter_GR_min_den_rexp = -52, nextafter_GR_min_pexp
+(p12) cmp.eq.unc p6,p0 = nextafter_GR_new_sig, r0
+(p13) cmp.eq.unc p8,p10 = nextafter_GR_new_sig, nextafter_GR_lden_sig ;;
+}
+
+{ .mmi
+(p6)  cmp.lt.unc p6,p7 = nextafter_GR_x_exp, nextafter_GR_max_pexp
+(p8)  cmp.gt.unc p8,p9 = nextafter_GR_x_exp, nextafter_GR_min_pexp
+(p10) cmp.eq.unc p10,p0 = nextafter_GR_new_sig, r0 ;;
+}
+
+// Create small normal in case need to generate underflow flag
+{ .mfi
+(p10) cmp.le.unc p10,p0 = nextafter_GR_x_exp, nextafter_GR_min_pexp
+      fmerge.se NEXTAFTER_tmp = NEXTAFTER_sden_exp, NEXTAFTER_lnorm_sig
+(p9)  cmp.gt.unc p9,p14 = nextafter_GR_x_exp, nextafter_GR_min_den_rexp
+}
+// Branch if cases 1, 2, 3
+{ .bbb
+(p6)  br.cond.spnt NEXTAFTER_EXPUP
+(p7)  br.cond.spnt NEXTAFTER_OVERFLOW
+(p8)  br.cond.spnt NEXTAFTER_EXPDOWN ;;
+}
+
+// Branch if cases 4, 5, 6
+{ .bbb
+(p9)  br.cond.spnt NEXTAFTER_NORM_TO_DENORM
+(p10) br.cond.spnt NEXTAFTER_UNDERFLOW_TO_ZERO
+(p14) br.cond.spnt NEXTAFTER_UNDERFLOW_TO_ZERO ;;
+}
+
+// Here if no special cases
+// Set p6 if result will be a denormal, so can force underflow flag
+//    Case 1:  x_exp=min_exp, x_sig=unnormalized
+//    Case 2:  x_exp<min_exp
+{ .mfi
+      cmp.lt p6,p7 = nextafter_GR_x_exp, nextafter_GR_min_pexp
+      fmerge.se f8 = NEXTAFTER_new_exp, NEXTAFTER_new_sig
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+      nop.f 999
+(p7)  tbit.z p6,p0 = nextafter_GR_new_sig, 63 ;;
+}
+
+NEXTAFTER_COMMON_FINISH:
+// Force underflow and inexact if denormal result
+{ .mfi
+      nop.m 999
+(p6)  fma.d.s0 NEXTAFTER_tmp = NEXTAFTER_tmp,NEXTAFTER_tmp,f0
+      nop.i 999 ;;
+}
+
+// Final normalization to result precision and exit
+{ .mfb
+      nop.m 999
+      fnorm.d.s0 f8 = f8
+      br.ret.sptk b0;;
+}
+
+//Special cases
+NEXTAFTER_EXPUP:
+{ .mfb
+      cmp.lt p6,p7 = nextafter_GR_x_exp, nextafter_GR_min_pexp
+      fmerge.se f8 = NEXTAFTER_exp1, NEXTAFTER_snorm_sig
+      br.cond.sptk NEXTAFTER_COMMON_FINISH ;;
+}
+
+NEXTAFTER_EXPDOWN:
+{ .mfb
+      cmp.lt p6,p7 = nextafter_GR_x_exp, nextafter_GR_min_pexp
+      fmerge.se f8 = NEXTAFTER_exp1, NEXTAFTER_lnorm_sig
+      br.cond.sptk NEXTAFTER_COMMON_FINISH ;;
+}
+
+NEXTAFTER_NORM_TO_DENORM:
+{ .mfi
+      nop.m 999
+      fmerge.se f8 = NEXTAFTER_new_exp, NEXTAFTER_lden_sig
+      nop.i 999
+}
+// Force underflow and inexact if denormal result
+{ .mfb
+      nop.m 999
+      fma.d.s0 NEXTAFTER_tmp = NEXTAFTER_tmp,NEXTAFTER_tmp,f0
+      br.ret.sptk b0 ;;
+}
+
+NEXTAFTER_UNDERFLOW_TO_ZERO:
+{ .mfb
+      cmp.eq p6,p0 = r0,r0
+      fmerge.s f8 = NEXTAFTER_save_f8,f0
+      br.cond.sptk NEXTAFTER_COMMON_FINISH ;;
+}
+
+NEXTAFTER_INF: 
+// Here if f8 is +- infinity
+// INF
+// if f8 is +inf, no matter what y is return  largest double
+// if f8 is -inf, no matter what y is return -largest double
+
+{ .mfi
+      nop.m 999
+      fmerge.se NEXTAFTER_lnorm = NEXTAFTER_lnorm_exp,NEXTAFTER_lnorm_sig
+      nop.i 999 ;;
+}
+
+{ .mfb
+      nop.m 999
+      fmerge.s f8 = f8,NEXTAFTER_lnorm                
+      br.ret.sptk    b0 ;;                        
+}
+
+NEXTAFTER_ZERO: 
+
+// Here if f8 is +- zero
+// ZERO
+// if f8 is zero and y is +, return + smallest double denormal 
+// if f8 is zero and y is -, return - smallest double denormal 
+
+{ .mfi
+      nop.m 999
+      fmerge.se NEXTAFTER_sden = NEXTAFTER_sden_exp,NEXTAFTER_sden_sig
+      nop.i 999 ;;
+}
+
+// Create small normal to generate underflow flag
+{ .mfi
+      nop.m 999
+      fmerge.se NEXTAFTER_tmp = NEXTAFTER_sden_exp, NEXTAFTER_lnorm_sig
+      nop.i 999 ;;
+}
+
+// Add correct sign from direction arg
+{ .mfi
+      nop.m 999
+      fmerge.s f8 = f9,NEXTAFTER_sden                
+      nop.i 999 ;;
+}
+
+{ .mfb
+      nop.m 999
+      fma.d.s0 NEXTAFTER_tmp = NEXTAFTER_tmp,NEXTAFTER_tmp,f0
+      br.ret.sptk    b0 ;;                        
+}
+
+GLOBAL_LIBM_END(nextafter)
+// Stack operations when calling error support.
+//       (1)               (2)                          (3) (call)              (4)
+//   sp   -> +          psp -> +                     psp -> +                   sp -> +
+//           |                 |                            |                         |
+//           |                 | <- GR_Y               R3 ->| <- GR_RESULT            | -> f8
+//           |                 |                            |                         |
+//           | <-GR_Y      Y2->|                       Y2 ->| <- GR_Y                 |
+//           |                 |                            |                         |
+//           |                 | <- GR_X               X1 ->|                         |
+//           |                 |                            |                         |
+//  sp-64 -> +          sp ->  +                     sp ->  +                         +
+//    save ar.pfs          save b0                                               restore gp
+//    save gp                                                                    restore ar.pfs
+
+
+
+LOCAL_LIBM_ENTRY(__libm_error_region)
+NEXTAFTER_OVERFLOW: 
+// Here if f8 is finite, but result will be infinite
+// Use frcpa to generate infinity of correct sign
+// Call error support to report possible range error
+.prologue
+
+{ .mfi
+      alloc          r32=ar.pfs,2,2,4,0
+      frcpa.s1 f8,p6 = NEXTAFTER_save_f8, f0
+      nop.i 999 ;;
+}
+
+// Create largest double
+{ .mfi
+      nop.m 999
+      fmerge.se NEXTAFTER_lnorm = NEXTAFTER_lnorm_exp,NEXTAFTER_lnorm_sig
+      nop.i 999 ;;
+}
+
+// Force overflow and inexact flags to be set
+{ .mfi
+      mov           r39 = 154      // Error code
+      fma.d.s0 NEXTAFTER_tmp = NEXTAFTER_lnorm,NEXTAFTER_lnorm,f0
+      nop.i 999
+}
+;;
+
+// (1)
+{ .mfi
+        add   GR_Parameter_Y=-32,sp             // Parameter 2 value
+        nop.f 0
+.save   ar.pfs,GR_SAVE_PFS
+        mov  GR_SAVE_PFS=ar.pfs                 // Save ar.pfs
+}
+{ .mfi
+.fframe 64
+        add sp=-64,sp                          // Create new stack
+        nop.f 0
+        mov GR_SAVE_GP=gp                      // Save gp
+};;
+
+
+// (2)
+{ .mmi
+        stfd [GR_Parameter_Y] = f9,16         // STORE Parameter 2 on stack
+        add GR_Parameter_X = 16,sp            // Parameter 1 address
+.save   b0, GR_SAVE_B0
+        mov GR_SAVE_B0=b0                     // Save b0
+};;
+
+.body
+// (3)
+{ .mib
+        stfd [GR_Parameter_X] = NEXTAFTER_save_f8              // STORE Parameter 1 on stack
+        add   GR_Parameter_RESULT = 0,GR_Parameter_Y           // Parameter 3 address
+        nop.b 0                                
+}
+{ .mib
+        stfd [GR_Parameter_Y] = f8              // STORE Parameter 3 on stack
+        add   GR_Parameter_Y = -16,GR_Parameter_Y
+        br.call.sptk b0=__libm_error_support#   // Call error handling function
+};;
+{ .mmi
+        nop.m 0
+        nop.m 0
+        add   GR_Parameter_RESULT = 48,sp
+};;
+
+// (4)
+{ .mmi
+        ldfd  f8 = [GR_Parameter_RESULT]       // Get return result off stack
+.restore sp
+        add   sp = 64,sp                       // Restore stack pointer
+        mov   b0 = GR_SAVE_B0                  // Restore return address
+};;
+{ .mib
+        mov   gp = GR_SAVE_GP                  // Restore gp
+        mov   ar.pfs = GR_SAVE_PFS             // Restore ar.pfs
+        br.ret.sptk     b0                     // Return
+};;
+
+LOCAL_LIBM_END(__libm_error_region)
+
+
+.type   __libm_error_support#,@function
+.global __libm_error_support#
+
diff --git a/sysdeps/ia64/fpu/s_nextafterf.S b/sysdeps/ia64/fpu/s_nextafterf.S
new file mode 100644
index 0000000000..6d2a92796d
--- /dev/null
+++ b/sysdeps/ia64/fpu/s_nextafterf.S
@@ -0,0 +1,502 @@
+.file "nextafterf.s"
+
+
+// Copyright (c) 2000 - 2003, Intel Corporation
+// All rights reserved.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
+//
+// Redistribution and use in source and binary forms, with or without
+// modification, are permitted provided that the following conditions are
+// met:
+//
+// * Redistributions of source code must retain the above copyright
+// notice, this list of conditions and the following disclaimer.
+//
+// * Redistributions in binary form must reproduce the above copyright
+// notice, this list of conditions and the following disclaimer in the
+// documentation and/or other materials provided with the distribution.
+//
+// * The name of Intel Corporation may not be used to endorse or promote
+// products derived from this software without specific prior written
+// permission.
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
+// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS 
+// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, 
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY 
+// OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 
+// 
+// Intel Corporation is the author of this code, and requests that all
+// problem reports or change requests be submitted to it directly at 
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
+//
+// History
+//==============================================================
+// 02/02/00 Initial version 
+// 03/03/00 Modified to conform to C9X, and improve speed of main path
+// 03/14/00 Fixed case where x is a power of 2, and x > y, improved speed
+// 04/04/00 Unwind support added
+// 05/12/00 Fixed erroneous denormal flag setting for exponent change cases 1,3
+// 08/15/00 Bundle added after call to __libm_error_support to properly
+//          set [the previously overwritten] GR_Parameter_RESULT.
+// 09/09/00 Updated fcmp so that qnans do not raise invalid
+// 12/15/00 Corrected behavior when both args are zero to conform to C99, and
+//          fixed flag settings for several cases
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 02/10/03 Reordered header: .section, .global, .proc, .align
+//
+// API
+//==============================================================
+// float nextafterf( float x, float y );
+// input  floating point f8, f9
+// output floating point f8
+//
+// Registers used
+//==============================================================
+nextafter_GR_max_pexp     = r14
+nextafter_GR_min_pexp     = r15
+nextafter_GR_exp          = r16
+nextafter_GR_sig          = r17
+nextafter_GR_lnorm_sig    = r18
+nextafter_GR_sign_mask    = r19
+nextafter_GR_exp_mask     = r20
+nextafter_GR_sden_sig     = r21
+nextafter_GR_new_sig      = r22
+nextafter_GR_new_exp      = r23
+nextafter_GR_lden_sig     = r24
+nextafter_GR_snorm_sig    = r25
+nextafter_GR_exp1         = r26
+nextafter_GR_x_exp        = r27
+nextafter_GR_min_den_rexp = r28
+// r36-39 parameters for libm_error_support
+
+GR_SAVE_B0                = r34
+GR_SAVE_GP                = r35
+GR_SAVE_PFS               = r32
+
+GR_Parameter_X            = r36
+GR_Parameter_Y            = r37
+GR_Parameter_RESULT       = r38
+
+NEXTAFTER_lnorm_sig       = f10
+NEXTAFTER_lnorm_exp       = f11
+NEXTAFTER_lnorm           = f12
+NEXTAFTER_sden_sig        = f13
+NEXTAFTER_sden_exp        = f14
+NEXTAFTER_sden            = f15
+NEXTAFTER_save_f8         = f33
+NEXTAFTER_new_exp         = f34
+NEXTAFTER_new_sig         = f35
+NEXTAFTER_lden_sig        = f36
+NEXTAFTER_snorm_sig       = f37
+NEXTAFTER_exp1            = f38
+NEXTAFTER_tmp             = f39
+
+//
+// Overview of operation
+//==============================================================
+// nextafterf determines the next representable value 
+// after x in the direction of y. 
+
+
+.section .text
+GLOBAL_LIBM_ENTRY(nextafterf)
+
+// Extract signexp from x
+// Form smallest denormal significand = ulp size
+{ .mlx
+      getf.exp nextafter_GR_exp      = f8
+      movl nextafter_GR_sden_sig = 0x0000010000000000
+}
+// Form largest normal exponent
+// Is x < y ?  p10 if yes, p11 if no
+// Form smallest normal exponent
+{ .mfi
+      addl nextafter_GR_max_pexp = 0x1007e, r0
+      fcmp.lt.s1 p10,p11 = f8, f9
+      addl nextafter_GR_min_pexp = 0x0ff81, r0 ;;
+}
+
+// Is x=y?
+{ .mfi
+      getf.sig nextafter_GR_sig      = f8
+      fcmp.eq.s0 p6,p0 = f8, f9
+      nop.i 0
+}
+// Extract significand from x
+// Form largest normal significand
+{ .mlx
+      nop.m 0 
+      movl nextafter_GR_lnorm_sig = 0xffffff0000000000 ;;
+}
+
+// Move largest normal significand to fp reg for special cases
+{ .mfi
+      setf.sig NEXTAFTER_lnorm_sig = nextafter_GR_lnorm_sig
+      nop.f 0 
+      addl nextafter_GR_sign_mask = 0x20000, r0 ;;
+}
+
+// Move smallest denormal significand and signexp to fp regs
+// Is x=nan?
+// Set p12 and p13 based on whether significand increases or decreases
+// It increases (p12 set) if x<y and x>=0 or if x>y and x<0
+// It decreases (p13 set) if x<y and x<0  or if x>y and x>=0
+{ .mfi
+      setf.sig NEXTAFTER_sden_sig = nextafter_GR_sden_sig
+      fclass.m  p8,p0 = f8, 0xc3           
+(p10) cmp.lt p12,p13 = nextafter_GR_exp, nextafter_GR_sign_mask
+}
+{ .mfi
+      setf.exp NEXTAFTER_sden_exp = nextafter_GR_min_pexp
+      nop.f 999
+(p11) cmp.ge p12,p13 = nextafter_GR_exp, nextafter_GR_sign_mask ;;
+}
+
+.pred.rel "mutex",p12,p13
+
+// Form expected new significand, adding or subtracting 1 ulp increment
+// If x=y set result to y
+// Form smallest normal significand and largest denormal significand
+{ .mfi
+(p12) add nextafter_GR_new_sig = nextafter_GR_sig, nextafter_GR_sden_sig
+(p6)  fmerge.s f8=f9,f9
+      dep.z nextafter_GR_snorm_sig = 1,63,1 // 0x8000000000000000
+}
+{ .mlx
+(p13) sub nextafter_GR_new_sig = nextafter_GR_sig, nextafter_GR_sden_sig
+      movl nextafter_GR_lden_sig = 0x7fffff0000000000 ;;
+}
+
+// Move expected result significand and signexp to fp regs
+// Is y=nan?
+// Form new exponent in case result exponent needs incrementing or decrementing
+{ .mfi
+      setf.exp NEXTAFTER_new_exp = nextafter_GR_exp
+      fclass.m  p9,p0 = f9, 0xc3           
+(p12) add nextafter_GR_exp1 = 1, nextafter_GR_exp
+}
+{ .mib
+      setf.sig NEXTAFTER_new_sig = nextafter_GR_new_sig
+(p13) add nextafter_GR_exp1 = -1, nextafter_GR_exp
+(p6)  br.ret.spnt    b0 ;;             // Exit if x=y
+}
+
+// Move largest normal signexp to fp reg for special cases
+// Is x=zero?
+{ .mfi
+      setf.exp NEXTAFTER_lnorm_exp = nextafter_GR_max_pexp
+      fclass.m  p7,p0 = f8, 0x7
+      nop.i 999
+}
+{ .mfb
+      nop.m 999
+(p8)  fma.s0 f8 = f8,f1,f9                     
+(p8)  br.ret.spnt    b0 ;;             // Exit if x=nan
+}
+
+// Move exp+-1 and smallest normal significand to fp regs for special cases
+// Is x=inf?
+{ .mfi
+      setf.exp NEXTAFTER_exp1 = nextafter_GR_exp1
+      fclass.m  p6,p0 = f8, 0x23           
+      addl nextafter_GR_exp_mask = 0x1ffff, r0
+}
+{ .mfb
+      setf.sig NEXTAFTER_snorm_sig = nextafter_GR_snorm_sig
+(p9)  fma.s0 f8 = f8,f1,f9                     
+(p9)  br.ret.spnt    b0 ;;             // Exit if y=nan
+}
+
+// Move largest denormal significand to fp regs for special cases
+// Save x
+{ .mfb
+      setf.sig NEXTAFTER_lden_sig = nextafter_GR_lden_sig
+      mov NEXTAFTER_save_f8 = f8
+(p7)  br.cond.spnt NEXTAFTER_ZERO ;;   // Exit if x=0   
+}
+
+// Mask off the sign to get x_exp
+{ .mfb
+      and nextafter_GR_x_exp = nextafter_GR_exp_mask, nextafter_GR_exp
+      nop.f 999
+(p6)  br.cond.spnt NEXTAFTER_INF ;;   // Exit if x=inf   
+}
+
+// Check 6 special cases when significand rolls over:
+//  1 sig size incr, x_sig=max_sig, x_exp < max_exp
+//     Set p6, result is sig=min_sig, exp++
+//  2 sig size incr, x_sig=max_sig, x_exp >= max_exp
+//     Set p7, result is inf, signal overflow
+//  3 sig size decr, x_sig=min_sig, x_exp > min_exp
+//     Set p8, result is sig=max_sig, exp--
+//  4 sig size decr, x_sig=min_sig, x_exp = min_exp
+//     Set p9, result is sig=max_den_sig, exp same, signal underflow and inexact
+//  5 sig size decr, x_sig=min_den_sig, x_exp = min_exp
+//     Set p10, result is zero, sign of x, signal underflow and inexact
+//  6 sig size decr, x_sig=min_sig, x_exp < min_exp 
+//     Set p14, result is zero, sign of x, signal underflow and inexact
+//
+// Form exponent of smallest float denormal (if normalized register format)
+{ .mmi
+      adds nextafter_GR_min_den_rexp = -23, nextafter_GR_min_pexp
+(p12) cmp.eq.unc p6,p0 = nextafter_GR_new_sig, r0
+(p13) cmp.eq.unc p8,p10 = nextafter_GR_new_sig, nextafter_GR_lden_sig ;;
+}
+
+{ .mmi
+(p6)  cmp.lt.unc p6,p7 = nextafter_GR_x_exp, nextafter_GR_max_pexp
+(p8)  cmp.gt.unc p8,p9 = nextafter_GR_x_exp, nextafter_GR_min_pexp
+(p10) cmp.eq.unc p10,p0 = nextafter_GR_new_sig, r0 ;;
+}
+
+// Create small normal in case need to generate underflow flag
+{ .mfi
+(p10) cmp.le.unc p10,p0 = nextafter_GR_x_exp, nextafter_GR_min_pexp
+      fmerge.se NEXTAFTER_tmp = NEXTAFTER_sden_exp, NEXTAFTER_lnorm_sig
+(p9)  cmp.gt.unc p9,p14 = nextafter_GR_x_exp, nextafter_GR_min_den_rexp
+}
+// Branch if cases 1, 2, 3
+{ .bbb
+(p6)  br.cond.spnt NEXTAFTER_EXPUP
+(p7)  br.cond.spnt NEXTAFTER_OVERFLOW
+(p8)  br.cond.spnt NEXTAFTER_EXPDOWN ;;
+}
+
+// Branch if cases 4, 5, 6
+{ .bbb
+(p9)  br.cond.spnt NEXTAFTER_NORM_TO_DENORM
+(p10) br.cond.spnt NEXTAFTER_UNDERFLOW_TO_ZERO
+(p14) br.cond.spnt NEXTAFTER_UNDERFLOW_TO_ZERO ;;
+}
+
+// Here if no special cases
+// Set p6 if result will be a denormal, so can force underflow flag
+//    Case 1:  x_exp=min_exp, x_sig=unnormalized
+//    Case 2:  x_exp<min_exp
+{ .mfi
+      cmp.lt p6,p7 = nextafter_GR_x_exp, nextafter_GR_min_pexp
+      fmerge.se f8 = NEXTAFTER_new_exp, NEXTAFTER_new_sig
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+      nop.f 999
+(p7)  tbit.z p6,p0 = nextafter_GR_new_sig, 63 ;;
+}
+
+NEXTAFTER_COMMON_FINISH:
+// Force underflow and inexact if denormal result
+{ .mfi
+      nop.m 999
+(p6)  fma.s.s0 NEXTAFTER_tmp = NEXTAFTER_tmp,NEXTAFTER_tmp,f0
+      nop.i 999 ;;
+}
+
+// Final normalization to result precision and exit
+{ .mfb
+      nop.m 999
+      fnorm.s.s0 f8 = f8
+      br.ret.sptk b0;;
+}
+
+//Special cases
+NEXTAFTER_EXPUP:
+{ .mfb
+      cmp.lt p6,p7 = nextafter_GR_x_exp, nextafter_GR_min_pexp
+      fmerge.se f8 = NEXTAFTER_exp1, NEXTAFTER_snorm_sig
+      br.cond.sptk NEXTAFTER_COMMON_FINISH ;;
+}
+
+NEXTAFTER_EXPDOWN:
+{ .mfb
+      cmp.lt p6,p7 = nextafter_GR_x_exp, nextafter_GR_min_pexp
+      fmerge.se f8 = NEXTAFTER_exp1, NEXTAFTER_lnorm_sig
+      br.cond.sptk NEXTAFTER_COMMON_FINISH ;;
+}
+
+NEXTAFTER_NORM_TO_DENORM:
+{ .mfi
+      nop.m 999
+      fmerge.se f8 = NEXTAFTER_new_exp, NEXTAFTER_lden_sig
+      nop.i 999
+}
+// Force underflow and inexact
+{ .mfb
+      nop.m 999
+      fma.s.s0 NEXTAFTER_tmp = NEXTAFTER_tmp,NEXTAFTER_tmp,f0
+      br.ret.sptk b0 ;;
+}
+
+NEXTAFTER_UNDERFLOW_TO_ZERO:
+{ .mfb
+      cmp.eq p6,p0 = r0,r0
+      fmerge.s f8 = NEXTAFTER_save_f8,f0
+      br.cond.sptk NEXTAFTER_COMMON_FINISH ;;
+}
+
+NEXTAFTER_INF: 
+// Here if f8 is +- infinity
+// INF
+// if f8 is +inf, no matter what y is return  largest float
+// if f8 is -inf, no matter what y is return -largest float
+
+{ .mfi
+      nop.m 999
+      fmerge.se NEXTAFTER_lnorm = NEXTAFTER_lnorm_exp,NEXTAFTER_lnorm_sig
+      nop.i 999 ;;
+}
+
+{ .mfb
+      nop.m 999
+      fmerge.s f8 = f8,NEXTAFTER_lnorm                
+      br.ret.sptk    b0 ;;                        
+}
+
+NEXTAFTER_ZERO: 
+
+// Here if f8 is +- zero
+// ZERO
+// if f8 is zero and y is +, return + smallest float denormal 
+// if f8 is zero and y is -, return - smallest float denormal 
+
+{ .mfi
+      nop.m 999
+      fmerge.se NEXTAFTER_sden = NEXTAFTER_sden_exp,NEXTAFTER_sden_sig
+      nop.i 999 ;;
+}
+
+// Create small normal to generate underflow flag
+{ .mfi
+      nop.m 999
+      fmerge.se NEXTAFTER_tmp = NEXTAFTER_sden_exp, NEXTAFTER_lnorm_sig
+      nop.i 999 ;;
+}
+
+// Add correct sign from direction arg
+{ .mfi
+      nop.m 999
+      fmerge.s f8 = f9,NEXTAFTER_sden                
+      nop.i 999 ;;
+}
+
+// Force underflow and inexact flags
+{ .mfb
+      nop.m 999
+      fma.s.s0 NEXTAFTER_tmp = NEXTAFTER_tmp,NEXTAFTER_tmp,f0
+      br.ret.sptk    b0 ;;                        
+}
+
+GLOBAL_LIBM_END(nextafterf)
+// Stack operations when calling error support.
+//       (1)               (2)                          (3) (call)              (4)
+//   sp   -> +          psp -> +                     psp -> +                   sp -> +
+//           |                 |                            |                         |
+//           |                 | <- GR_Y               R3 ->| <- GR_RESULT            | -> f8
+//           |                 |                            |                         |
+//           | <-GR_Y      Y2->|                       Y2 ->| <- GR_Y                 |
+//           |                 |                            |                         |
+//           |                 | <- GR_X               X1 ->|                         |
+//           |                 |                            |                         |
+//  sp-64 -> +          sp ->  +                     sp ->  +                         +
+//    save ar.pfs          save b0                                               restore gp
+//    save gp                                                                    restore ar.pfs
+
+
+
+LOCAL_LIBM_ENTRY(__libm_error_region)
+NEXTAFTER_OVERFLOW: 
+// Here if f8 is finite, but result will be infinite
+// Use frcpa to generate infinity of correct sign
+// Call error support to report possible range error
+.prologue
+
+{ .mfi
+      alloc          r32=ar.pfs,2,2,4,0
+      frcpa.s1 f8,p6 = NEXTAFTER_save_f8, f0
+      nop.i 999
+}
+
+// Create largest float
+{ .mfi
+      nop.m 999
+      fmerge.se NEXTAFTER_lnorm = NEXTAFTER_lnorm_exp,NEXTAFTER_lnorm_sig
+      nop.i 999 ;;
+}
+
+// Force overflow and inexact flags to be set
+{ .mfi
+      mov           r39 = 155      // Error code
+      fma.s.s0 NEXTAFTER_tmp = NEXTAFTER_lnorm,NEXTAFTER_lnorm,f0
+      nop.i 999
+}
+;;
+
+// (1)
+{ .mfi
+        add   GR_Parameter_Y=-32,sp             // Parameter 2 value
+        nop.f 0
+.save   ar.pfs,GR_SAVE_PFS
+        mov  GR_SAVE_PFS=ar.pfs                 // Save ar.pfs
+}
+{ .mfi
+.fframe 64
+        add sp=-64,sp                          // Create new stack
+        nop.f 0
+        mov GR_SAVE_GP=gp                      // Save gp
+};;
+
+
+// (2)
+{ .mmi
+        stfs [GR_Parameter_Y] = f9,16         // STORE Parameter 2 on stack
+        add GR_Parameter_X = 16,sp            // Parameter 1 address
+.save   b0, GR_SAVE_B0
+        mov GR_SAVE_B0=b0                     // Save b0
+};;
+
+.body
+// (3)
+{ .mib
+        stfs [GR_Parameter_X] = NEXTAFTER_save_f8              // STORE Parameter 1 on stack
+        add   GR_Parameter_RESULT = 0,GR_Parameter_Y           // Parameter 3 address
+        nop.b 0                                
+}
+{ .mib
+        stfs [GR_Parameter_Y] = f8              // STORE Parameter 3 on stack
+        add   GR_Parameter_Y = -16,GR_Parameter_Y
+        br.call.sptk b0=__libm_error_support#   // Call error handling function
+};;
+{ .mmi
+        nop.m 0
+        nop.m 0
+        add   GR_Parameter_RESULT = 48,sp
+};;
+
+// (4)
+{ .mmi
+        ldfs  f8 = [GR_Parameter_RESULT]       // Get return result off stack
+.restore sp
+        add   sp = 64,sp                       // Restore stack pointer
+        mov   b0 = GR_SAVE_B0                  // Restore return address
+};;
+{ .mib
+        mov   gp = GR_SAVE_GP                  // Restore gp
+        mov   ar.pfs = GR_SAVE_PFS             // Restore ar.pfs
+        br.ret.sptk     b0                     // Return
+};;
+
+LOCAL_LIBM_END(__libm_error_region)
+
+
+.type   __libm_error_support#,@function
+.global __libm_error_support#
+
diff --git a/sysdeps/ia64/fpu/s_nextafterl.S b/sysdeps/ia64/fpu/s_nextafterl.S
new file mode 100644
index 0000000000..05bdd9c17a
--- /dev/null
+++ b/sysdeps/ia64/fpu/s_nextafterl.S
@@ -0,0 +1,501 @@
+.file "nextafterl.s"
+
+
+// Copyright (c) 2000 - 2003, Intel Corporation
+// All rights reserved.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
+//
+// Redistribution and use in source and binary forms, with or without
+// modification, are permitted provided that the following conditions are
+// met:
+//
+// * Redistributions of source code must retain the above copyright
+// notice, this list of conditions and the following disclaimer.
+//
+// * Redistributions in binary form must reproduce the above copyright
+// notice, this list of conditions and the following disclaimer in the
+// documentation and/or other materials provided with the distribution.
+//
+// * The name of Intel Corporation may not be used to endorse or promote
+// products derived from this software without specific prior written
+// permission.
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
+// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS 
+// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, 
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY 
+// OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 
+// 
+// Intel Corporation is the author of this code, and requests that all
+// problem reports or change requests be submitted to it directly at 
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
+//
+// History
+//==============================================================
+// 02/02/00 Initial version 
+// 03/03/00 Modified to conform to C9X, and improve speed of main path
+// 03/14/00 Fixed case where x is a power of 2, and x > y, improved speed
+// 04/04/00 Unwind support added
+// 05/12/00 Fixed erroneous denormal flag setting for exponent change cases 1,3
+// 08/15/00 Bundle added after call to __libm_error_support to properly
+//          set [the previously overwritten] GR_Parameter_RESULT.
+// 09/09/00 Updated fcmp so that qnans do not raise invalid.
+// 12/15/00 Fixed case of smallest long double normal to largest denormal,
+//          now adhere to C99 for two zero args, and fixed flag settings 
+//          for several cases
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 02/10/03 Reordered header: .section, .global, .proc, .align
+//
+// API
+//==============================================================
+// long double nextafterl( long double x, long double y );
+// input  floating point f8, f9
+// output floating point f8
+//
+// Registers used
+//==============================================================
+nextafter_GR_max_pexp     = r14
+nextafter_GR_min_pexp     = r15
+nextafter_GR_exp          = r16
+nextafter_GR_sig          = r17
+nextafter_GR_lnorm_sig    = r18
+nextafter_GR_sign_mask    = r19
+nextafter_GR_exp_mask     = r20
+nextafter_GR_sden_sig     = r21
+nextafter_GR_new_sig      = r22
+nextafter_GR_new_exp      = r23
+nextafter_GR_lden_sig     = r24
+nextafter_GR_snorm_sig    = r25
+nextafter_GR_exp1         = r26
+nextafter_GR_x_exp        = r27
+// r36-39 parameters for libm_error_support
+
+GR_SAVE_B0                = r34
+GR_SAVE_GP                = r35
+GR_SAVE_PFS               = r32
+
+GR_Parameter_X            = r36
+GR_Parameter_Y            = r37
+GR_Parameter_RESULT       = r38
+
+NEXTAFTER_lnorm_sig       = f10
+NEXTAFTER_lnorm_exp       = f11
+NEXTAFTER_lnorm           = f12
+NEXTAFTER_sden_sig        = f13
+NEXTAFTER_den_exp         = f14
+NEXTAFTER_sden            = f15
+NEXTAFTER_snorm_exp       = f32
+NEXTAFTER_save_f8         = f33
+NEXTAFTER_new_exp         = f34
+NEXTAFTER_new_sig         = f35
+NEXTAFTER_lden_sig        = f36
+NEXTAFTER_snorm_sig       = f37
+NEXTAFTER_exp1            = f38
+NEXTAFTER_tmp             = f39
+
+//
+// Overview of operation
+//==============================================================
+// nextafterl determines the next representable value 
+// after x in the direction of y. 
+
+
+.section .text
+GLOBAL_LIBM_ENTRY(nextafterl)
+
+// Extract signexp from x
+// Is x < y ?  p10 if yes, p11 if no
+// Form smallest denormal significand = ulp size
+{ .mfi
+      getf.exp nextafter_GR_exp      = f8
+      fcmp.lt.s1 p10,p11 = f8, f9                
+      addl nextafter_GR_sden_sig = 0x1, r0
+}
+// Form largest normal significand 0xffffffffffffffff
+// Form smallest normal exponent
+{ .mfi
+      addl nextafter_GR_lnorm_sig = -0x1,r0
+      nop.f 999
+      addl nextafter_GR_min_pexp = 0x0c001, r0 ;;
+}
+
+// Extract significand from x
+// Is x=y?   This fcmp also sets Invalid and Denormal if required
+// Form largest normal exponent
+{ .mfi
+      getf.sig nextafter_GR_sig      = f8
+      fcmp.eq.s0 p6,p0 = f8, f9
+      addl nextafter_GR_max_pexp = 0x13ffe, r0
+}
+// Move largest normal significand to fp reg for special cases
+{ .mfi
+      setf.sig NEXTAFTER_lnorm_sig = nextafter_GR_lnorm_sig
+      nop.f 999
+      addl nextafter_GR_sign_mask = 0x20000, r0 ;;
+}
+
+// Move smallest denormal significand and exp to fp regs
+// Is x=nan?
+// Set p12 and p13 based on whether significand increases or decreases
+// It increases (p12 set) if x<y and x>=0 or if x>y and x<0
+// It decreases (p13 set) if x<y and x<0  or if x>y and x>=0
+{ .mfi
+      setf.sig NEXTAFTER_sden_sig = nextafter_GR_sden_sig
+      fclass.m  p8,p0 = f8, 0xc3           
+(p10) cmp.lt p12,p13 = nextafter_GR_exp, nextafter_GR_sign_mask
+}
+// Move smallest normal exp to fp regs
+{ .mfi
+      setf.exp NEXTAFTER_snorm_exp = nextafter_GR_min_pexp
+      nop.f 999
+(p11) cmp.ge p12,p13 = nextafter_GR_exp, nextafter_GR_sign_mask ;;
+}
+
+.pred.rel "mutex",p12,p13
+
+// Form expected new significand, adding or subtracting 1 ulp increment
+// If x=y set result to y
+// Form smallest normal significand and largest denormal significand
+{ .mfi
+(p12) add nextafter_GR_new_sig = nextafter_GR_sig, nextafter_GR_sden_sig
+(p6)  fmerge.s f8=f9,f9
+      dep.z nextafter_GR_snorm_sig = 1,63,1 // 0x8000000000000000
+}
+{ .mlx
+(p13) sub nextafter_GR_new_sig = nextafter_GR_sig, nextafter_GR_sden_sig
+      movl nextafter_GR_lden_sig = 0x7fffffffffffffff ;;
+}
+
+// Move expected result significand and signexp to fp regs
+// Is y=nan?
+// Form new exponent in case result exponent needs incrementing or decrementing
+{ .mfi
+      setf.exp NEXTAFTER_new_exp = nextafter_GR_exp
+      fclass.m  p9,p0 = f9, 0xc3           
+(p12) add nextafter_GR_exp1 = 1, nextafter_GR_exp
+}
+{ .mib
+      setf.sig NEXTAFTER_new_sig = nextafter_GR_new_sig
+(p13) add nextafter_GR_exp1 = -1, nextafter_GR_exp
+(p6)  br.ret.spnt    b0 ;;             // Exit if x=y
+}
+
+// Move largest normal signexp to fp reg for special cases
+// Is x=zero?
+{ .mfi
+      setf.exp NEXTAFTER_lnorm_exp = nextafter_GR_max_pexp
+      fclass.m  p7,p0 = f8, 0x7
+      nop.i 999
+}
+{ .mfb
+      setf.exp NEXTAFTER_den_exp = nextafter_GR_min_pexp
+(p8)  fma.s0 f8 = f8,f1,f9                     
+(p8)  br.ret.spnt    b0 ;;             // Exit if x=nan
+}
+
+// Move exp+-1 and smallest normal significand to fp regs for special cases
+// Is x=inf?
+{ .mfi
+      setf.exp NEXTAFTER_exp1 = nextafter_GR_exp1
+      fclass.m  p6,p0 = f8, 0x23           
+      addl nextafter_GR_exp_mask = 0x1ffff, r0
+}
+{ .mfb
+      setf.sig NEXTAFTER_snorm_sig = nextafter_GR_snorm_sig
+(p9)  fma.s0 f8 = f8,f1,f9                     
+(p9)  br.ret.spnt    b0 ;;             // Exit if y=nan
+}
+
+// Move largest denormal significand to fp regs for special cases
+// Save x
+{ .mfb
+      setf.sig NEXTAFTER_lden_sig = nextafter_GR_lden_sig
+      mov NEXTAFTER_save_f8 = f8
+(p7)  br.cond.spnt NEXTAFTER_ZERO ;;   // Exit if x=0   
+}
+
+// Mask off the sign to get x_exp
+{ .mfb
+      and nextafter_GR_x_exp = nextafter_GR_exp_mask, nextafter_GR_exp
+      nop.f 999
+(p6)  br.cond.spnt NEXTAFTER_INF ;;   // Exit if x=inf   
+}
+
+// Check 5 special cases when significand rolls over:
+//  1 sig size incr, x_sig=max_sig, x_exp < max_exp
+//     Set p6, result is sig=min_sig, exp++
+//  2 sig size incr, x_sig=max_sig, x_exp >= max_exp
+//     Set p7, result is inf, signal overflow
+//  3 sig size decr, x_sig=min_sig, x_exp > min_exp
+//     Set p8, result is sig=max_sig, exp--
+//  4 sig size decr, x_sig=min_sig, x_exp = min_exp
+//     Set p9, result is sig=max_den_sig, exp same, signal underflow and inexact
+//  5 sig size decr, x_sig=min_den_sig, x_exp = min_exp
+//     Set p10, result is zero, sign of x, signal underflow and inexact
+//
+{ .mmi
+(p12) cmp.eq.unc p6,p0 = nextafter_GR_new_sig, r0
+(p13) cmp.eq.unc p9,p10 = nextafter_GR_new_sig, nextafter_GR_lden_sig
+      nop.i 999
+;;
+}
+
+{ .mmi
+(p6)  cmp.lt.unc p6,p7 = nextafter_GR_x_exp, nextafter_GR_max_pexp
+(p10) cmp.eq.unc p10,p0 = nextafter_GR_new_sig, r0
+(p9)  cmp.le.unc p9,p8 = nextafter_GR_x_exp, nextafter_GR_min_pexp 
+;;
+}
+
+// Create small normal in case need to generate underflow flag
+{ .mfi
+      nop.m 999
+      fmerge.se NEXTAFTER_tmp = NEXTAFTER_snorm_exp, NEXTAFTER_lnorm_sig
+      nop.i 999
+}
+// Branch if cases 1, 2, 3
+{ .bbb
+(p6)  br.cond.spnt NEXTAFTER_EXPUP
+(p7)  br.cond.spnt NEXTAFTER_OVERFLOW
+(p8)  br.cond.spnt NEXTAFTER_EXPDOWN ;;
+}
+
+// Branch if cases 4, 5
+{ .mbb
+      nop.m 999
+(p9)  br.cond.spnt NEXTAFTER_NORM_TO_DENORM
+(p10) br.cond.spnt NEXTAFTER_UNDERFLOW_TO_ZERO
+;;
+}
+
+// Here if no special cases
+// Set p6 if result will be a denormal, so can force underflow flag
+//    Case 1:  x_exp=min_exp, x_sig=unnormalized
+//    Case 2:  x_exp<min_exp
+{ .mfi
+      cmp.lt p6,p7 = nextafter_GR_x_exp, nextafter_GR_min_pexp
+      fmerge.se f8 = NEXTAFTER_new_exp, NEXTAFTER_new_sig
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+      nop.f 999
+(p6)  tbit.z p6,p0 = nextafter_GR_new_sig, 63 ;;
+}
+
+NEXTAFTER_COMMON_FINISH:
+// Force underflow and inexact if denormal result
+{ .mfi
+      nop.m 999
+(p6)  fma.s0 NEXTAFTER_tmp = NEXTAFTER_tmp,NEXTAFTER_tmp,f0
+      nop.i 999 ;;
+}
+
+// Final normalization to result precision and exit
+{ .mfb
+      nop.m 999
+      fnorm.s0 f8 = f8
+      br.ret.sptk b0;;
+}
+
+//Special cases
+NEXTAFTER_EXPUP:
+{ .mfb
+      cmp.lt p6,p7 = nextafter_GR_x_exp, nextafter_GR_min_pexp
+      fmerge.se f8 = NEXTAFTER_exp1, NEXTAFTER_snorm_sig
+      br.cond.sptk NEXTAFTER_COMMON_FINISH ;;
+}
+
+NEXTAFTER_EXPDOWN:
+{ .mfb
+      cmp.lt p6,p7 = nextafter_GR_x_exp, nextafter_GR_min_pexp
+      fmerge.se f8 = NEXTAFTER_exp1, NEXTAFTER_lnorm_sig
+      br.cond.sptk NEXTAFTER_COMMON_FINISH ;;
+}
+
+NEXTAFTER_NORM_TO_DENORM:
+{ .mfi
+      nop.m 999
+      fmerge.se f8 = NEXTAFTER_exp1, NEXTAFTER_lden_sig
+      nop.i 999
+}
+// Force underflow and inexact
+{ .mfb
+      nop.m 999
+      fma.s0 NEXTAFTER_tmp = NEXTAFTER_tmp,NEXTAFTER_tmp,f0
+      br.ret.sptk b0 ;;
+}
+
+NEXTAFTER_UNDERFLOW_TO_ZERO:
+{ .mfb
+      cmp.eq p6,p0 = r0,r0
+      fmerge.s f8 = NEXTAFTER_save_f8,f0
+      br.cond.sptk NEXTAFTER_COMMON_FINISH ;;
+}
+
+NEXTAFTER_INF: 
+// Here if f8 is +- infinity
+// INF
+// if f8 is +inf, no matter what y is return  largest long double
+// if f8 is -inf, no matter what y is return -largest long double
+
+// Create largest long double
+{ .mfi
+      nop.m 999
+      fmerge.se NEXTAFTER_lnorm = NEXTAFTER_lnorm_exp,NEXTAFTER_lnorm_sig
+      nop.i 999 ;;
+}
+
+{ .mfb
+      nop.m 999
+      fmerge.s f8 = f8,NEXTAFTER_lnorm                
+      br.ret.sptk    b0 ;;                        
+}
+
+NEXTAFTER_ZERO: 
+
+// Here if f8 is +- zero
+// ZERO
+// if f8 is zero and y is +, return + smallest long double denormal 
+// if f8 is zero and y is -, return - smallest long double denormal 
+
+{ .mfi
+      nop.m 999
+      fmerge.se NEXTAFTER_sden = f0,NEXTAFTER_sden_sig
+      nop.i 999 ;;
+}
+
+// Create small normal to generate underflow flag
+{ .mfi
+      nop.m 999
+      fmerge.se NEXTAFTER_tmp = NEXTAFTER_snorm_exp, NEXTAFTER_lnorm_sig
+      nop.i 999 ;;
+}
+
+// Add correct sign from direction arg
+{ .mfi
+      nop.m 999
+      fmerge.s f8 = f9,NEXTAFTER_sden                
+      nop.i 999 ;;
+}
+
+// Force underflow and inexact flags
+{ .mfb
+      nop.m 999
+      fma.s0 NEXTAFTER_tmp = NEXTAFTER_tmp,NEXTAFTER_tmp,f0
+      br.ret.sptk    b0 ;;                        
+}
+
+GLOBAL_LIBM_END(nextafterl)
+// Stack operations when calling error support.
+//       (1)               (2)                          (3) (call)              (4)
+//   sp   -> +          psp -> +                     psp -> +                   sp -> +
+//           |                 |                            |                         |
+//           |                 | <- GR_Y               R3 ->| <- GR_RESULT            | -> f8
+//           |                 |                            |                         |
+//           | <-GR_Y      Y2->|                       Y2 ->| <- GR_Y                 |
+//           |                 |                            |                         |
+//           |                 | <- GR_X               X1 ->|                         |
+//           |                 |                            |                         |
+//  sp-64 -> +          sp ->  +                     sp ->  +                         +
+//    save ar.pfs          save b0                                               restore gp
+//    save gp                                                                    restore ar.pfs
+
+
+
+LOCAL_LIBM_ENTRY(__libm_error_region)
+NEXTAFTER_OVERFLOW: 
+// Here if f8 is finite, but result will be infinite
+// Use frcpa to generate infinity of correct sign
+// Call error support to report possible range error
+.prologue
+
+{ .mfi
+      alloc          r32=ar.pfs,2,2,4,0
+      frcpa.s1 f8,p6 = NEXTAFTER_save_f8, f0
+      nop.i 999 ;;
+}
+
+// Create largest long double
+{ .mfi
+      nop.m 999
+      fmerge.se NEXTAFTER_lnorm = NEXTAFTER_lnorm_exp,NEXTAFTER_lnorm_sig
+      nop.i 999 ;;
+}
+
+// Force overflow and inexact flags to be set
+{ .mfi
+      mov           r39 = 153      // Error code
+      fma.s0  NEXTAFTER_tmp = NEXTAFTER_lnorm,NEXTAFTER_lnorm,f0
+      nop.i 999
+}
+;;
+
+// (1)
+{ .mfi
+        add   GR_Parameter_Y=-32,sp             // Parameter 2 value
+        nop.f 0
+.save   ar.pfs,GR_SAVE_PFS
+        mov  GR_SAVE_PFS=ar.pfs                 // Save ar.pfs
+}
+{ .mfi
+.fframe 64
+        add sp=-64,sp                          // Create new stack
+        nop.f 0
+        mov GR_SAVE_GP=gp                      // Save gp
+};;
+
+
+// (2)
+{ .mmi
+        stfe [GR_Parameter_Y] = f9,16         // STORE Parameter 2 on stack
+        add GR_Parameter_X = 16,sp            // Parameter 1 address
+.save   b0, GR_SAVE_B0
+        mov GR_SAVE_B0=b0                     // Save b0
+};;
+
+.body
+// (3)
+{ .mib
+        stfe [GR_Parameter_X] = NEXTAFTER_save_f8              // STORE Parameter 1 on stack
+        add   GR_Parameter_RESULT = 0,GR_Parameter_Y           // Parameter 3 address
+        nop.b 0                                
+}
+{ .mib
+        stfe [GR_Parameter_Y] = f8              // STORE Parameter 3 on stack
+        add   GR_Parameter_Y = -16,GR_Parameter_Y
+        br.call.sptk b0=__libm_error_support#   // Call error handling function
+};;
+{ .mmi
+        nop.m 0
+        nop.m 0
+        add   GR_Parameter_RESULT = 48,sp
+};;
+
+// (4)
+{ .mmi
+        ldfe  f8 = [GR_Parameter_RESULT]       // Get return result off stack
+.restore sp
+        add   sp = 64,sp                       // Restore stack pointer
+        mov   b0 = GR_SAVE_B0                  // Restore return address
+};;
+{ .mib
+        mov   gp = GR_SAVE_GP                  // Restore gp
+        mov   ar.pfs = GR_SAVE_PFS             // Restore ar.pfs
+        br.ret.sptk     b0                     // Return
+};;
+
+LOCAL_LIBM_END(__libm_error_region)
+
+
+.type   __libm_error_support#,@function
+.global __libm_error_support#
+
diff --git a/sysdeps/ia64/fpu/s_nextafterl.c b/sysdeps/ia64/fpu/s_nextafterl.c
deleted file mode 100644
index f59f16848f..0000000000
--- a/sysdeps/ia64/fpu/s_nextafterl.c
+++ /dev/null
@@ -1 +0,0 @@
-#include <sysdeps/i386/fpu/s_nextafterl.c>
diff --git a/sysdeps/ia64/fpu/s_nexttoward.S b/sysdeps/ia64/fpu/s_nexttoward.S
new file mode 100644
index 0000000000..f8fac1e072
--- /dev/null
+++ b/sysdeps/ia64/fpu/s_nexttoward.S
@@ -0,0 +1,488 @@
+.file "nexttoward.s"
+
+
+// Copyright (c) 2001 - 2003, Intel Corporation
+// All rights reserved.
+//
+// Contributed 2001 by the Intel Numerics Group, Intel Corporation
+//
+// Redistribution and use in source and binary forms, with or without
+// modification, are permitted provided that the following conditions are
+// met:
+//
+// * Redistributions of source code must retain the above copyright
+// notice, this list of conditions and the following disclaimer.
+//
+// * Redistributions in binary form must reproduce the above copyright
+// notice, this list of conditions and the following disclaimer in the
+// documentation and/or other materials provided with the distribution.
+//
+// * The name of Intel Corporation may not be used to endorse or promote
+// products derived from this software without specific prior written
+// permission.
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
+// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS 
+// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, 
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY 
+// OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 
+// 
+// Intel Corporation is the author of this code, and requests that all
+// problem reports or change requests be submitted to it directly at 
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
+//
+// History
+//==============================================================
+// 08/15/01 Initial version 
+// 08/23/01 Corrected error tag number
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 02/10/03 Reordered header: .section, .global, .proc, .align
+//
+// API
+//==============================================================
+// double nexttoward( double x, long double y );
+// input  floating point f8, f9
+// output floating point f8
+//
+// Registers used
+//==============================================================
+nexttoward_GR_max_pexp     = r14
+nexttoward_GR_min_pexp     = r15
+nexttoward_GR_exp          = r16
+nexttoward_GR_sig          = r17
+nexttoward_GR_lnorm_sig    = r18
+nexttoward_GR_sign_mask    = r19
+nexttoward_GR_exp_mask     = r20
+nexttoward_GR_sden_sig     = r21
+nexttoward_GR_new_sig      = r22
+nexttoward_GR_new_exp      = r23
+nexttoward_GR_lden_sig     = r24
+nexttoward_GR_snorm_sig    = r25
+nexttoward_GR_exp1         = r26
+nexttoward_GR_x_exp        = r27
+nexttoward_GR_min_den_rexp = r28
+// r36-39 parameters for libm_error_support
+
+GR_SAVE_B0                = r34
+GR_SAVE_GP                = r35
+GR_SAVE_PFS               = r32
+
+GR_Parameter_X            = r36
+GR_Parameter_Y            = r37
+GR_Parameter_RESULT       = r38
+
+NEXTTOWARD_lnorm_sig       = f10
+NEXTTOWARD_lnorm_exp       = f11
+NEXTTOWARD_lnorm           = f12
+NEXTTOWARD_sden_sig        = f13
+NEXTTOWARD_sden_exp        = f14
+NEXTTOWARD_sden            = f15
+NEXTTOWARD_save_f8         = f33
+NEXTTOWARD_new_exp         = f34
+NEXTTOWARD_new_sig         = f35
+NEXTTOWARD_lden_sig        = f36
+NEXTTOWARD_snorm_sig       = f37
+NEXTTOWARD_exp1            = f38
+NEXTTOWARD_tmp             = f39
+
+//
+// Overview of operation
+//==============================================================
+// nexttoward determines the next representable value 
+// after x in the direction of y. 
+
+
+.section .text
+GLOBAL_LIBM_ENTRY(nexttoward)
+
+// Extract signexp from x
+// Is x < y ?  p10 if yes, p11 if no
+// Form smallest denormal significand = ulp size
+{ .mfi
+      getf.exp nexttoward_GR_exp      = f8
+      fcmp.lt.s1 p10,p11 = f8, f9                
+      addl nexttoward_GR_sden_sig = 0x800, r0
+}
+// Form largest normal significand 0xfffffffffffff800
+// Form smallest normal exponent
+{ .mfi
+      addl nexttoward_GR_lnorm_sig = -0x800,r0
+      nop.f 999
+      addl nexttoward_GR_min_pexp = 0x0fc01, r0 ;;
+}
+// Extract significand from x
+// Is x=y?
+// Form largest normal exponent
+{ .mfi
+      getf.sig nexttoward_GR_sig      = f8
+      fcmp.eq.s0 p6,p0 = f8, f9                
+      addl nexttoward_GR_max_pexp = 0x103fe, r0
+}
+// Move largest normal significand to fp reg for special cases
+{ .mfi
+      setf.sig NEXTTOWARD_lnorm_sig = nexttoward_GR_lnorm_sig
+      nop.f 999
+      addl nexttoward_GR_sign_mask = 0x20000, r0 ;;
+}
+
+// Move smallest denormal significand and signexp to fp regs
+// Is x=nan?
+// Set p12 and p13 based on whether significand increases or decreases
+// It increases (p12 set) if x<y and x>=0 or if x>y and x<0
+// It decreases (p13 set) if x<y and x<0  or if x>y and x>=0
+{ .mfi
+      setf.sig NEXTTOWARD_sden_sig = nexttoward_GR_sden_sig
+      fclass.m  p8,p0 = f8, 0xc3           
+(p10) cmp.lt p12,p13 = nexttoward_GR_exp, nexttoward_GR_sign_mask
+}
+{ .mfi
+      setf.exp NEXTTOWARD_sden_exp = nexttoward_GR_min_pexp
+(p11) cmp.ge p12,p13 = nexttoward_GR_exp, nexttoward_GR_sign_mask ;;
+}
+
+.pred.rel "mutex",p12,p13
+
+// Form expected new significand, adding or subtracting 1 ulp increment
+// If x=y set result to y
+// Form smallest normal significand and largest denormal significand
+{ .mfi
+(p12) add nexttoward_GR_new_sig = nexttoward_GR_sig, nexttoward_GR_sden_sig
+(p6)  fnorm.d.s0 f8=f9  //Normalise
+      dep.z nexttoward_GR_snorm_sig = 1,63,1 // 0x8000000000000000
+}
+{ .mlx
+(p13) sub nexttoward_GR_new_sig = nexttoward_GR_sig, nexttoward_GR_sden_sig
+      movl nexttoward_GR_lden_sig = 0x7ffffffffffff800 ;;
+}
+
+// Move expected result significand and signexp to fp regs
+// Is y=nan?
+// Form new exponent in case result exponent needs incrementing or decrementing
+{ .mfi
+      setf.exp NEXTTOWARD_new_exp = nexttoward_GR_exp
+      fclass.m  p9,p0 = f9, 0xc3           
+(p12) add nexttoward_GR_exp1 = 1, nexttoward_GR_exp
+}
+{ .mib
+      setf.sig NEXTTOWARD_new_sig = nexttoward_GR_new_sig
+(p13) add nexttoward_GR_exp1 = -1, nexttoward_GR_exp
+(p6)  br.ret.spnt    b0 ;;             // Exit if x=y
+}
+
+// Move largest normal signexp to fp reg for special cases
+// Is x=zero?
+{ .mfi
+      setf.exp NEXTTOWARD_lnorm_exp = nexttoward_GR_max_pexp
+      fclass.m  p7,p0 = f8, 0x7
+      nop.i 999
+}
+{ .mfb
+      nop.m 999
+(p8)  fma.s0 f8 = f8,f1,f9                     
+(p8)  br.ret.spnt    b0 ;;             // Exit if x=nan
+}
+
+// Move exp+-1 and smallest normal significand to fp regs for special cases
+// Is x=inf?
+{ .mfi
+      setf.exp NEXTTOWARD_exp1 = nexttoward_GR_exp1
+      fclass.m  p6,p0 = f8, 0x23           
+      addl nexttoward_GR_exp_mask = 0x1ffff, r0
+}
+{ .mfb
+      setf.sig NEXTTOWARD_snorm_sig = nexttoward_GR_snorm_sig
+(p9)  fma.s0 f8 = f8,f1,f9                     
+(p9)  br.ret.spnt    b0 ;;             // Exit if y=nan
+}
+
+// Move largest denormal significand to fp regs for special cases
+// Save x
+{ .mfb
+      setf.sig NEXTTOWARD_lden_sig = nexttoward_GR_lden_sig
+      mov NEXTTOWARD_save_f8 = f8
+(p7)  br.cond.spnt NEXTTOWARD_ZERO ;;   // Exit if x=0   
+}
+
+// Mask off the sign to get x_exp
+{ .mfb
+      and nexttoward_GR_x_exp = nexttoward_GR_exp_mask, nexttoward_GR_exp
+      nop.f 999
+(p6)  br.cond.spnt NEXTTOWARD_INF ;;   // Exit if x=inf   
+}
+
+// Check 6 special cases when significand rolls over:
+//  1 sig size incr, x_sig=max_sig, x_exp < max_exp
+//     Set p6, result is sig=min_sig, exp++
+//  2 sig size incr, x_sig=max_sig, x_exp >= max_exp
+//     Set p7, result is inf, signal overflow
+//  3 sig size decr, x_sig=min_sig, x_exp > min_exp
+//     Set p8, result is sig=max_sig, exp--
+//  4 sig size decr, x_sig=min_sig, x_exp = min_exp
+//     Set p9, result is sig=max_den_sig, exp same, signal underflow and inexact
+//  5 sig size decr, x_sig=min_den_sig, x_exp = min_exp
+//     Set p10, result is zero, sign of x, signal underflow and inexact
+//  6 sig size decr, x_sig=min_sig, x_exp < min_exp 
+//     Set p14, result is zero, sign of x, signal underflow and inexact
+//
+// Form exponent of smallest double denormal (if normalized register format)
+{ .mmi
+      adds nexttoward_GR_min_den_rexp = -52, nexttoward_GR_min_pexp
+(p12) cmp.eq.unc p6,p0 = nexttoward_GR_new_sig, r0
+(p13) cmp.eq.unc p8,p10 = nexttoward_GR_new_sig, nexttoward_GR_lden_sig ;;
+}
+
+{ .mmi
+(p6)  cmp.lt.unc p6,p7 = nexttoward_GR_x_exp, nexttoward_GR_max_pexp
+(p8)  cmp.gt.unc p8,p9 = nexttoward_GR_x_exp, nexttoward_GR_min_pexp
+(p10) cmp.eq.unc p10,p0 = nexttoward_GR_new_sig, r0 ;;
+}
+
+// Create small normal in case need to generate underflow flag
+{ .mfi
+(p10) cmp.le.unc p10,p0 = nexttoward_GR_x_exp, nexttoward_GR_min_pexp
+      fmerge.se NEXTTOWARD_tmp = NEXTTOWARD_sden_exp, NEXTTOWARD_lnorm_sig
+(p9)  cmp.gt.unc p9,p14 = nexttoward_GR_x_exp, nexttoward_GR_min_den_rexp
+}
+// Branch if cases 1, 2, 3
+{ .bbb
+(p6)  br.cond.spnt NEXTTOWARD_EXPUP
+(p7)  br.cond.spnt NEXTTOWARD_OVERFLOW
+(p8)  br.cond.spnt NEXTTOWARD_EXPDOWN ;;
+}
+
+// Branch if cases 4, 5, 6
+{ .bbb
+(p9)  br.cond.spnt NEXTTOWARD_NORM_TO_DENORM
+(p10) br.cond.spnt NEXTTOWARD_UNDERFLOW_TO_ZERO
+(p14) br.cond.spnt NEXTTOWARD_UNDERFLOW_TO_ZERO ;;
+}
+
+// Here if no special cases
+// Set p6 if result will be a denormal, so can force underflow flag
+//    Case 1:  x_exp=min_exp, x_sig=unnormalized
+//    Case 2:  x_exp<min_exp
+{ .mfi
+      cmp.lt p6,p7 = nexttoward_GR_x_exp, nexttoward_GR_min_pexp
+      fmerge.se f8 = NEXTTOWARD_new_exp, NEXTTOWARD_new_sig
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+      nop.f 999
+(p7)  tbit.z p6,p0 = nexttoward_GR_new_sig, 63 ;;
+}
+
+NEXTTOWARD_COMMON_FINISH:
+// Force underflow and inexact if denormal result
+{ .mfi
+      nop.m 999
+(p6)  fma.d.s0 NEXTTOWARD_tmp = NEXTTOWARD_tmp,NEXTTOWARD_tmp,f0
+      nop.i 999 ;;
+}
+
+// Final normalization to result precision and exit
+{ .mfb
+      nop.m 999
+      fnorm.d.s0 f8 = f8
+      br.ret.sptk b0;;
+}
+
+//Special cases
+NEXTTOWARD_EXPUP:
+{ .mfb
+      cmp.lt p6,p7 = nexttoward_GR_x_exp, nexttoward_GR_min_pexp
+      fmerge.se f8 = NEXTTOWARD_exp1, NEXTTOWARD_snorm_sig
+      br.cond.sptk NEXTTOWARD_COMMON_FINISH ;;
+}
+
+NEXTTOWARD_EXPDOWN:
+{ .mfb
+      cmp.lt p6,p7 = nexttoward_GR_x_exp, nexttoward_GR_min_pexp
+      fmerge.se f8 = NEXTTOWARD_exp1, NEXTTOWARD_lnorm_sig
+      br.cond.sptk NEXTTOWARD_COMMON_FINISH ;;
+}
+
+NEXTTOWARD_NORM_TO_DENORM:
+{ .mfi
+      nop.m 999
+      fmerge.se f8 = NEXTTOWARD_new_exp, NEXTTOWARD_lden_sig
+      nop.i 999
+}
+// Force underflow and inexact if denormal result
+{ .mfb
+      nop.m 999
+      fma.d.s0 NEXTTOWARD_tmp = NEXTTOWARD_tmp,NEXTTOWARD_tmp,f0
+      br.ret.sptk b0 ;;
+}
+
+NEXTTOWARD_UNDERFLOW_TO_ZERO:
+{ .mfb
+      cmp.eq p6,p0 = r0,r0
+      fmerge.s f8 = NEXTTOWARD_save_f8,f0
+      br.cond.sptk NEXTTOWARD_COMMON_FINISH ;;
+}
+
+NEXTTOWARD_INF: 
+// Here if f8 is +- infinity
+// INF
+// if f8 is +inf, no matter what y is return  largest double
+// if f8 is -inf, no matter what y is return -largest double
+
+{ .mfi
+      nop.m 999
+      fmerge.se NEXTTOWARD_lnorm = NEXTTOWARD_lnorm_exp,NEXTTOWARD_lnorm_sig
+      nop.i 999 ;;
+}
+
+{ .mfb
+      nop.m 999
+      fmerge.s f8 = f8,NEXTTOWARD_lnorm                
+      br.ret.sptk    b0 ;;                        
+}
+
+NEXTTOWARD_ZERO: 
+
+// Here if f8 is +- zero
+// ZERO
+// if f8 is zero and y is +, return + smallest double denormal 
+// if f8 is zero and y is -, return - smallest double denormal 
+
+{ .mfi
+      nop.m 999
+      fmerge.se NEXTTOWARD_sden = NEXTTOWARD_sden_exp,NEXTTOWARD_sden_sig
+      nop.i 999 ;;
+}
+
+// Create small normal to generate underflow flag
+{ .mfi
+      nop.m 999
+      fmerge.se NEXTTOWARD_tmp = NEXTTOWARD_sden_exp, NEXTTOWARD_lnorm_sig
+      nop.i 999 ;;
+}
+
+// Add correct sign from direction arg
+{ .mfi
+      nop.m 999
+      fmerge.s f8 = f9,NEXTTOWARD_sden                
+      nop.i 999 ;;
+}
+
+// Force underflow and inexact flags
+{ .mfb
+      nop.m 999
+      fma.d.s0 NEXTTOWARD_tmp = NEXTTOWARD_tmp,NEXTTOWARD_tmp,f0
+      br.ret.sptk    b0 ;;                        
+}
+
+GLOBAL_LIBM_END(nexttoward)
+// Stack operations when calling error support.
+//       (1)               (2)                          (3) (call)              (4)
+//   sp   -> +          psp -> +                     psp -> +                   sp -> +
+//           |                 |                            |                         |
+//           |                 | <- GR_Y               R3 ->| <- GR_RESULT            | -> f8
+//           |                 |                            |                         |
+//           | <-GR_Y      Y2->|                       Y2 ->| <- GR_Y                 |
+//           |                 |                            |                         |
+//           |                 | <- GR_X               X1 ->|                         |
+//           |                 |                            |                         |
+//  sp-64 -> +          sp ->  +                     sp ->  +                         +
+//    save ar.pfs          save b0                                               restore gp
+//    save gp                                                                    restore ar.pfs
+
+
+
+LOCAL_LIBM_ENTRY(__libm_error_region)
+NEXTTOWARD_OVERFLOW: 
+// Here if f8 is finite, but result will be infinite
+// Use frcpa to generate infinity of correct sign
+// Call error support to report possible range error
+.prologue
+
+{ .mfi
+      alloc          r32=ar.pfs,2,2,4,0
+      frcpa.s1 f8,p6 = NEXTTOWARD_save_f8, f0
+      nop.i 999 ;;
+}
+
+// Create largest double
+{ .mfi
+      nop.m 999
+      fmerge.se NEXTTOWARD_lnorm = NEXTTOWARD_lnorm_exp,NEXTTOWARD_lnorm_sig
+      nop.i 999 ;;
+}
+
+// Force overflow and inexact flags to be set
+{ .mfi
+      mov           r39 = 199      // Error code
+      fma.d.s0 NEXTTOWARD_tmp = NEXTTOWARD_lnorm,NEXTTOWARD_lnorm,f0
+      nop.i 999
+}
+;;
+
+// (1)
+{ .mfi
+        add   GR_Parameter_Y=-32,sp             // Parameter 2 value
+        nop.f 0
+.save   ar.pfs,GR_SAVE_PFS
+        mov  GR_SAVE_PFS=ar.pfs                 // Save ar.pfs
+}
+{ .mfi
+.fframe 64
+        add sp=-64,sp                          // Create new stack
+        nop.f 0
+        mov GR_SAVE_GP=gp                      // Save gp
+};;
+
+
+// (2)
+{ .mmi
+        stfd [GR_Parameter_Y] = f9,16         // STORE Parameter 2 on stack
+        add GR_Parameter_X = 16,sp            // Parameter 1 address
+.save   b0, GR_SAVE_B0
+        mov GR_SAVE_B0=b0                     // Save b0
+};;
+
+.body
+// (3)
+{ .mib
+        stfd [GR_Parameter_X] = NEXTTOWARD_save_f8              // STORE Parameter 1 on stack
+        add   GR_Parameter_RESULT = 0,GR_Parameter_Y           // Parameter 3 address
+        nop.b 0                                
+}
+{ .mib
+        stfd [GR_Parameter_Y] = f8              // STORE Parameter 3 on stack
+        add   GR_Parameter_Y = -16,GR_Parameter_Y
+        br.call.sptk b0=__libm_error_support#   // Call error handling function
+};;
+{ .mmi
+        nop.m 0
+        nop.m 0
+        add   GR_Parameter_RESULT = 48,sp
+};;
+
+// (4)
+{ .mmi
+        ldfd  f8 = [GR_Parameter_RESULT]       // Get return result off stack
+.restore sp
+        add   sp = 64,sp                       // Restore stack pointer
+        mov   b0 = GR_SAVE_B0                  // Restore return address
+};;
+{ .mib
+        mov   gp = GR_SAVE_GP                  // Restore gp
+        mov   ar.pfs = GR_SAVE_PFS             // Restore ar.pfs
+        br.ret.sptk     b0                     // Return
+};;
+
+LOCAL_LIBM_END(__libm_error_region)
+
+
+.type   __libm_error_support#,@function
+.global __libm_error_support#
+
diff --git a/sysdeps/ia64/fpu/s_nexttoward.c b/sysdeps/ia64/fpu/s_nexttoward.c
deleted file mode 100644
index aee2bb5895..0000000000
--- a/sysdeps/ia64/fpu/s_nexttoward.c
+++ /dev/null
@@ -1 +0,0 @@
-#include <sysdeps/i386/fpu/s_nexttoward.c>
diff --git a/sysdeps/ia64/fpu/s_nexttowardf.S b/sysdeps/ia64/fpu/s_nexttowardf.S
new file mode 100644
index 0000000000..fb1adaea5b
--- /dev/null
+++ b/sysdeps/ia64/fpu/s_nexttowardf.S
@@ -0,0 +1,494 @@
+.file "nexttowardf.s"
+
+
+// Copyright (c) 2001 - 2003, Intel Corporation
+// All rights reserved.
+//
+// Contributed 2001 by the Intel Numerics Group, Intel Corporation
+//
+// Redistribution and use in source and binary forms, with or without
+// modification, are permitted provided that the following conditions are
+// met:
+//
+// * Redistributions of source code must retain the above copyright
+// notice, this list of conditions and the following disclaimer.
+//
+// * Redistributions in binary form must reproduce the above copyright
+// notice, this list of conditions and the following disclaimer in the
+// documentation and/or other materials provided with the distribution.
+//
+// * The name of Intel Corporation may not be used to endorse or promote
+// products derived from this software without specific prior written
+// permission.
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
+// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS 
+// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, 
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY 
+// OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 
+// 
+// Intel Corporation is the author of this code, and requests that all
+// problem reports or change requests be submitted to it directly at 
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
+//
+// History
+//==============================================================
+// 08/15/01 Initial version 
+// 08/23/01 Corrected error tag number
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 02/10/03 Reordered header: .section, .global, .proc, .align
+//
+// API
+//==============================================================
+// float nexttowardf( float x, long double y );
+// input  floating point f8, f9
+// output floating point f8
+//
+// Registers used
+//==============================================================
+nexttoward_GR_max_pexp     = r14
+nexttoward_GR_min_pexp     = r15
+nexttoward_GR_exp          = r16
+nexttoward_GR_sig          = r17
+nexttoward_GR_lnorm_sig    = r18
+nexttoward_GR_sign_mask    = r19
+nexttoward_GR_exp_mask     = r20
+nexttoward_GR_sden_sig     = r21
+nexttoward_GR_new_sig      = r22
+nexttoward_GR_new_exp      = r23
+nexttoward_GR_lden_sig     = r24
+nexttoward_GR_snorm_sig    = r25
+nexttoward_GR_exp1         = r26
+nexttoward_GR_x_exp        = r27
+nexttoward_GR_min_den_rexp = r28
+// r36-39 parameters for libm_error_support
+
+GR_SAVE_B0                = r34
+GR_SAVE_GP                = r35
+GR_SAVE_PFS               = r32
+
+GR_Parameter_X            = r36
+GR_Parameter_Y            = r37
+GR_Parameter_RESULT       = r38
+
+NEXTTOWARD_lnorm_sig       = f10
+NEXTTOWARD_lnorm_exp       = f11
+NEXTTOWARD_lnorm           = f12
+NEXTTOWARD_sden_sig        = f13
+NEXTTOWARD_sden_exp        = f14
+NEXTTOWARD_sden            = f15
+NEXTTOWARD_save_f8         = f33
+NEXTTOWARD_new_exp         = f34
+NEXTTOWARD_new_sig         = f35
+NEXTTOWARD_lden_sig        = f36
+NEXTTOWARD_snorm_sig       = f37
+NEXTTOWARD_exp1            = f38
+NEXTTOWARD_tmp             = f39
+
+//
+// Overview of operation
+//==============================================================
+// nexttowardf determines the next representable value 
+// after x in the direction of y. 
+
+
+.section .text
+GLOBAL_LIBM_ENTRY(nexttowardf)
+
+// Extract signexp from x
+// Form smallest denormal significand = ulp size
+{ .mlx
+      getf.exp nexttoward_GR_exp      = f8
+      movl nexttoward_GR_sden_sig = 0x0000010000000000
+}
+// Form largest normal exponent
+// Is x < y ?  p10 if yes, p11 if no
+// Form smallest normal exponent
+{ .mfi
+      addl nexttoward_GR_max_pexp = 0x1007e, r0
+      fcmp.lt.s1 p10,p11 = f8, f9
+      addl nexttoward_GR_min_pexp = 0x0ff81, r0 ;;
+}
+
+// Is x=y?
+{ .mfi
+      getf.sig nexttoward_GR_sig      = f8
+      fcmp.eq.s0 p6,p0 = f8, f9
+      nop.i 0
+}
+// Extract significand from x
+// Form largest normal significand
+{ .mlx
+      nop.m 0 
+      movl nexttoward_GR_lnorm_sig = 0xffffff0000000000 ;;
+}
+
+// Move largest normal significand to fp reg for special cases
+{ .mfi
+      setf.sig NEXTTOWARD_lnorm_sig = nexttoward_GR_lnorm_sig
+      nop.f 0 
+      addl nexttoward_GR_sign_mask = 0x20000, r0 ;;
+}
+
+// Move smallest denormal significand and signexp to fp regs
+// Is x=nan?
+// Set p12 and p13 based on whether significand increases or decreases
+// It increases (p12 set) if x<y and x>=0 or if x>y and x<0
+// It decreases (p13 set) if x<y and x<0  or if x>y and x>=0
+{ .mfi
+      setf.sig NEXTTOWARD_sden_sig = nexttoward_GR_sden_sig
+      fclass.m  p8,p0 = f8, 0xc3           
+(p10) cmp.lt p12,p13 = nexttoward_GR_exp, nexttoward_GR_sign_mask
+}
+{ .mfi
+      setf.exp NEXTTOWARD_sden_exp = nexttoward_GR_min_pexp
+      nop.f 999
+(p11) cmp.ge p12,p13 = nexttoward_GR_exp, nexttoward_GR_sign_mask ;;
+}
+
+.pred.rel "mutex",p12,p13
+
+// Form expected new significand, adding or subtracting 1 ulp increment
+// If x=y set result to y
+// Form smallest normal significand and largest denormal significand
+{ .mfi
+(p12) add nexttoward_GR_new_sig = nexttoward_GR_sig, nexttoward_GR_sden_sig
+(p6)  fnorm.s.s0 f8=f9   //Normalise
+      dep.z nexttoward_GR_snorm_sig = 1,63,1 // 0x8000000000000000
+}
+{ .mlx
+(p13) sub nexttoward_GR_new_sig = nexttoward_GR_sig, nexttoward_GR_sden_sig
+      movl nexttoward_GR_lden_sig = 0x7fffff0000000000 ;;
+}
+
+// Move expected result significand and signexp to fp regs
+// Is y=nan?
+// Form new exponent in case result exponent needs incrementing or decrementing
+{ .mfi
+      setf.exp NEXTTOWARD_new_exp = nexttoward_GR_exp
+      fclass.m  p9,p0 = f9, 0xc3           
+(p12) add nexttoward_GR_exp1 = 1, nexttoward_GR_exp
+}
+{ .mib
+      setf.sig NEXTTOWARD_new_sig = nexttoward_GR_new_sig
+(p13) add nexttoward_GR_exp1 = -1, nexttoward_GR_exp
+(p6)  br.ret.spnt    b0 ;;             // Exit if x=y
+}
+
+// Move largest normal signexp to fp reg for special cases
+// Is x=zero?
+{ .mfi
+      setf.exp NEXTTOWARD_lnorm_exp = nexttoward_GR_max_pexp
+      fclass.m  p7,p0 = f8, 0x7
+      nop.i 999
+}
+{ .mfb
+      nop.m 999
+(p8)  fma.s0 f8 = f8,f1,f9                     
+(p8)  br.ret.spnt    b0 ;;             // Exit if x=nan
+}
+
+// Move exp+-1 and smallest normal significand to fp regs for special cases
+// Is x=inf?
+{ .mfi
+      setf.exp NEXTTOWARD_exp1 = nexttoward_GR_exp1
+      fclass.m  p6,p0 = f8, 0x23           
+      addl nexttoward_GR_exp_mask = 0x1ffff, r0
+}
+{ .mfb
+      setf.sig NEXTTOWARD_snorm_sig = nexttoward_GR_snorm_sig
+(p9)  fma.s0 f8 = f8,f1,f9                     
+(p9)  br.ret.spnt    b0 ;;             // Exit if y=nan
+}
+
+// Move largest denormal significand to fp regs for special cases
+// Save x
+{ .mfb
+      setf.sig NEXTTOWARD_lden_sig = nexttoward_GR_lden_sig
+      mov NEXTTOWARD_save_f8 = f8
+(p7)  br.cond.spnt NEXTTOWARD_ZERO ;;   // Exit if x=0   
+}
+
+// Mask off the sign to get x_exp
+{ .mfb
+      and nexttoward_GR_x_exp = nexttoward_GR_exp_mask, nexttoward_GR_exp
+      nop.f 999
+(p6)  br.cond.spnt NEXTTOWARD_INF ;;   // Exit if x=inf   
+}
+
+// Check 6 special cases when significand rolls over:
+//  1 sig size incr, x_sig=max_sig, x_exp < max_exp
+//     Set p6, result is sig=min_sig, exp++
+//  2 sig size incr, x_sig=max_sig, x_exp >= max_exp
+//     Set p7, result is inf, signal overflow
+//  3 sig size decr, x_sig=min_sig, x_exp > min_exp
+//     Set p8, result is sig=max_sig, exp--
+//  4 sig size decr, x_sig=min_sig, x_exp = min_exp
+//     Set p9, result is sig=max_den_sig, exp same, signal underflow and inexact
+//  5 sig size decr, x_sig=min_den_sig, x_exp = min_exp
+//     Set p10, result is zero, sign of x, signal underflow and inexact
+//  6 sig size decr, x_sig=min_sig, x_exp < min_exp 
+//     Set p14, result is zero, sign of x, signal underflow and inexact
+//
+// Form exponent of smallest float denormal (if normalized register format)
+{ .mmi
+      adds nexttoward_GR_min_den_rexp = -23, nexttoward_GR_min_pexp
+(p12) cmp.eq.unc p6,p0 = nexttoward_GR_new_sig, r0
+(p13) cmp.eq.unc p8,p10 = nexttoward_GR_new_sig, nexttoward_GR_lden_sig ;;
+}
+
+{ .mmi
+(p6)  cmp.lt.unc p6,p7 = nexttoward_GR_x_exp, nexttoward_GR_max_pexp
+(p8)  cmp.gt.unc p8,p9 = nexttoward_GR_x_exp, nexttoward_GR_min_pexp
+(p10) cmp.eq.unc p10,p0 = nexttoward_GR_new_sig, r0 ;;
+}
+
+// Create small normal in case need to generate underflow flag
+{ .mfi
+(p10) cmp.le.unc p10,p0 = nexttoward_GR_x_exp, nexttoward_GR_min_pexp
+      fmerge.se NEXTTOWARD_tmp = NEXTTOWARD_sden_exp, NEXTTOWARD_lnorm_sig
+(p9)  cmp.gt.unc p9,p14 = nexttoward_GR_x_exp, nexttoward_GR_min_den_rexp
+}
+// Branch if cases 1, 2, 3
+{ .bbb
+(p6)  br.cond.spnt NEXTTOWARD_EXPUP
+(p7)  br.cond.spnt NEXTTOWARD_OVERFLOW
+(p8)  br.cond.spnt NEXTTOWARD_EXPDOWN ;;
+}
+
+// Branch if cases 4, 5, 6
+{ .bbb
+(p9)  br.cond.spnt NEXTTOWARD_NORM_TO_DENORM
+(p10) br.cond.spnt NEXTTOWARD_UNDERFLOW_TO_ZERO
+(p14) br.cond.spnt NEXTTOWARD_UNDERFLOW_TO_ZERO ;;
+}
+
+// Here if no special cases
+// Set p6 if result will be a denormal, so can force underflow flag
+//    Case 1:  x_exp=min_exp, x_sig=unnormalized
+//    Case 2:  x_exp<min_exp
+{ .mfi
+      cmp.lt p6,p7 = nexttoward_GR_x_exp, nexttoward_GR_min_pexp
+      fmerge.se f8 = NEXTTOWARD_new_exp, NEXTTOWARD_new_sig
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+      nop.f 999
+(p7)  tbit.z p6,p0 = nexttoward_GR_new_sig, 63 ;;
+}
+
+NEXTTOWARD_COMMON_FINISH:
+// Force underflow and inexact if denormal result
+{ .mfi
+      nop.m 999
+(p6)  fma.s.s0 NEXTTOWARD_tmp = NEXTTOWARD_tmp,NEXTTOWARD_tmp,f0
+      nop.i 999 ;;
+}
+
+// Final normalization to result precision and exit
+{ .mfb
+      nop.m 999
+      fnorm.s.s0 f8 = f8
+      br.ret.sptk b0;;
+}
+
+//Special cases
+NEXTTOWARD_EXPUP:
+{ .mfb
+      cmp.lt p6,p7 = nexttoward_GR_x_exp, nexttoward_GR_min_pexp
+      fmerge.se f8 = NEXTTOWARD_exp1, NEXTTOWARD_snorm_sig
+      br.cond.sptk NEXTTOWARD_COMMON_FINISH ;;
+}
+
+NEXTTOWARD_EXPDOWN:
+{ .mfb
+      cmp.lt p6,p7 = nexttoward_GR_x_exp, nexttoward_GR_min_pexp
+      fmerge.se f8 = NEXTTOWARD_exp1, NEXTTOWARD_lnorm_sig
+      br.cond.sptk NEXTTOWARD_COMMON_FINISH ;;
+}
+
+NEXTTOWARD_NORM_TO_DENORM:
+{ .mfi
+      nop.m 999
+      fmerge.se f8 = NEXTTOWARD_new_exp, NEXTTOWARD_lden_sig
+      nop.i 999
+}
+// Force underflow and inexact
+{ .mfb
+      nop.m 999
+      fma.s.s0 NEXTTOWARD_tmp = NEXTTOWARD_tmp,NEXTTOWARD_tmp,f0
+      br.ret.sptk b0 ;;
+}
+
+NEXTTOWARD_UNDERFLOW_TO_ZERO:
+{ .mfb
+      cmp.eq p6,p0 = r0,r0
+      fmerge.s f8 = NEXTTOWARD_save_f8,f0
+      br.cond.sptk NEXTTOWARD_COMMON_FINISH ;;
+}
+
+NEXTTOWARD_INF: 
+// Here if f8 is +- infinity
+// INF
+// if f8 is +inf, no matter what y is return  largest float
+// if f8 is -inf, no matter what y is return -largest float
+
+{ .mfi
+      nop.m 999
+      fmerge.se NEXTTOWARD_lnorm = NEXTTOWARD_lnorm_exp,NEXTTOWARD_lnorm_sig
+      nop.i 999 ;;
+}
+
+{ .mfb
+      nop.m 999
+      fmerge.s f8 = f8,NEXTTOWARD_lnorm                
+      br.ret.sptk    b0 ;;                        
+}
+
+NEXTTOWARD_ZERO: 
+
+// Here if f8 is +- zero
+// ZERO
+// if f8 is zero and y is +, return + smallest float denormal 
+// if f8 is zero and y is -, return - smallest float denormal 
+
+{ .mfi
+      nop.m 999
+      fmerge.se NEXTTOWARD_sden = NEXTTOWARD_sden_exp,NEXTTOWARD_sden_sig
+      nop.i 999 ;;
+}
+
+// Create small normal to generate underflow flag
+{ .mfi
+      nop.m 999
+      fmerge.se NEXTTOWARD_tmp = NEXTTOWARD_sden_exp, NEXTTOWARD_lnorm_sig
+      nop.i 999 ;;
+}
+
+// Add correct sign from direction arg
+{ .mfi
+      nop.m 999
+      fmerge.s f8 = f9,NEXTTOWARD_sden                
+      nop.i 999;;
+}
+
+// Force underflow and inexact flags
+{ .mfb
+      nop.m 999
+      fma.s.s0 NEXTTOWARD_tmp = NEXTTOWARD_tmp,NEXTTOWARD_tmp,f0
+      br.ret.sptk    b0 ;;                        
+}
+
+GLOBAL_LIBM_END(nexttowardf)
+// Stack operations when calling error support.
+//       (1)               (2)                          (3) (call)              (4)
+//   sp   -> +          psp -> +                     psp -> +                   sp -> +
+//           |                 |                            |                         |
+//           |                 | <- GR_Y               R3 ->| <- GR_RESULT            | -> f8
+//           |                 |                            |                         |
+//           | <-GR_Y      Y2->|                       Y2 ->| <- GR_Y                 |
+//           |                 |                            |                         |
+//           |                 | <- GR_X               X1 ->|                         |
+//           |                 |                            |                         |
+//  sp-64 -> +          sp ->  +                     sp ->  +                         +
+//    save ar.pfs          save b0                                               restore gp
+//    save gp                                                                    restore ar.pfs
+
+
+
+LOCAL_LIBM_ENTRY(__libm_error_region)
+NEXTTOWARD_OVERFLOW: 
+// Here if f8 is finite, but result will be infinite
+// Use frcpa to generate infinity of correct sign
+// Call error support to report possible range error
+.prologue
+
+{ .mfi
+      alloc          r32=ar.pfs,2,2,4,0
+      frcpa.s1 f8,p6 = NEXTTOWARD_save_f8, f0
+      nop.i 999
+}
+
+// Create largest float
+{ .mfi
+      nop.m 999
+      fmerge.se NEXTTOWARD_lnorm = NEXTTOWARD_lnorm_exp,NEXTTOWARD_lnorm_sig
+      nop.i 999 ;;
+}
+
+// Force overflow and inexact flags to be set
+{ .mfi
+      mov           r39 = 200      // Error code
+      fma.s.s0 NEXTTOWARD_tmp = NEXTTOWARD_lnorm,NEXTTOWARD_lnorm,f0
+      nop.i 999
+}
+;;
+
+// (1)
+{ .mfi
+        add   GR_Parameter_Y=-32,sp             // Parameter 2 value
+        nop.f 0
+.save   ar.pfs,GR_SAVE_PFS
+        mov  GR_SAVE_PFS=ar.pfs                 // Save ar.pfs
+}
+{ .mfi
+.fframe 64
+        add sp=-64,sp                          // Create new stack
+        nop.f 0
+        mov GR_SAVE_GP=gp                      // Save gp
+};;
+
+
+// (2)
+{ .mmi
+        stfs [GR_Parameter_Y] = f9,16         // STORE Parameter 2 on stack
+        add GR_Parameter_X = 16,sp            // Parameter 1 address
+.save   b0, GR_SAVE_B0
+        mov GR_SAVE_B0=b0                     // Save b0
+};;
+
+.body
+// (3)
+{ .mib
+        stfs [GR_Parameter_X] = NEXTTOWARD_save_f8              // STORE Parameter 1 on stack
+        add   GR_Parameter_RESULT = 0,GR_Parameter_Y           // Parameter 3 address
+        nop.b 0                                
+}
+{ .mib
+        stfs [GR_Parameter_Y] = f8              // STORE Parameter 3 on stack
+        add   GR_Parameter_Y = -16,GR_Parameter_Y
+        br.call.sptk b0=__libm_error_support#   // Call error handling function
+};;
+{ .mmi
+        nop.m 0
+        nop.m 0
+        add   GR_Parameter_RESULT = 48,sp
+};;
+
+// (4)
+{ .mmi
+        ldfs  f8 = [GR_Parameter_RESULT]       // Get return result off stack
+.restore sp
+        add   sp = 64,sp                       // Restore stack pointer
+        mov   b0 = GR_SAVE_B0                  // Restore return address
+};;
+{ .mib
+        mov   gp = GR_SAVE_GP                  // Restore gp
+        mov   ar.pfs = GR_SAVE_PFS             // Restore ar.pfs
+        br.ret.sptk     b0                     // Return
+};;
+
+LOCAL_LIBM_END(__libm_error_region)
+
+
+.type   __libm_error_support#,@function
+.global __libm_error_support#
+
diff --git a/sysdeps/ia64/fpu/s_nexttowardf.c b/sysdeps/ia64/fpu/s_nexttowardf.c
deleted file mode 100644
index 55e95f6916..0000000000
--- a/sysdeps/ia64/fpu/s_nexttowardf.c
+++ /dev/null
@@ -1 +0,0 @@
-#include <sysdeps/i386/fpu/s_nexttowardf.c>
diff --git a/sysdeps/ia64/fpu/s_nexttowardl.S b/sysdeps/ia64/fpu/s_nexttowardl.S
new file mode 100644
index 0000000000..9c79f2cd1e
--- /dev/null
+++ b/sysdeps/ia64/fpu/s_nexttowardl.S
@@ -0,0 +1,492 @@
+.file "nexttowardl.s"
+
+
+// Copyright (c) 2001 - 2003, Intel Corporation
+// All rights reserved.
+//
+// Contributed 2001 by the Intel Numerics Group, Intel Corporation
+//
+// Redistribution and use in source and binary forms, with or without
+// modification, are permitted provided that the following conditions are
+// met:
+//
+// * Redistributions of source code must retain the above copyright
+// notice, this list of conditions and the following disclaimer.
+//
+// * Redistributions in binary form must reproduce the above copyright
+// notice, this list of conditions and the following disclaimer in the
+// documentation and/or other materials provided with the distribution.
+//
+// * The name of Intel Corporation may not be used to endorse or promote
+// products derived from this software without specific prior written
+// permission.
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
+// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS 
+// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, 
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY 
+// OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 
+// 
+// Intel Corporation is the author of this code, and requests that all
+// problem reports or change requests be submitted to it directly at 
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
+//
+// History
+//==============================================================
+// 08/15/01 Initial version 
+// 08/23/01 Corrected error tag number
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 02/10/03 Reordered header: .section, .global, .proc, .align
+//
+// API
+//==============================================================
+// long double nexttowardl( long double x, long double y );
+// input  floating point f8, f9
+// output floating point f8
+//
+// Registers used
+//==============================================================
+nexttoward_GR_max_pexp     = r14
+nexttoward_GR_min_pexp     = r15
+nexttoward_GR_exp          = r16
+nexttoward_GR_sig          = r17
+nexttoward_GR_lnorm_sig    = r18
+nexttoward_GR_sign_mask    = r19
+nexttoward_GR_exp_mask     = r20
+nexttoward_GR_sden_sig     = r21
+nexttoward_GR_new_sig      = r22
+nexttoward_GR_new_exp      = r23
+nexttoward_GR_lden_sig     = r24
+nexttoward_GR_snorm_sig    = r25
+nexttoward_GR_exp1         = r26
+nexttoward_GR_x_exp        = r27
+// r36-39 parameters for libm_error_support
+
+GR_SAVE_B0                = r34
+GR_SAVE_GP                = r35
+GR_SAVE_PFS               = r32
+
+GR_Parameter_X            = r36
+GR_Parameter_Y            = r37
+GR_Parameter_RESULT       = r38
+
+NEXTTOWARD_lnorm_sig       = f10
+NEXTTOWARD_lnorm_exp       = f11
+NEXTTOWARD_lnorm           = f12
+NEXTTOWARD_sden_sig        = f13
+NEXTTOWARD_den_exp         = f14
+NEXTTOWARD_sden            = f15
+NEXTTOWARD_snorm_exp       = f32
+NEXTTOWARD_save_f8         = f33
+NEXTTOWARD_new_exp         = f34
+NEXTTOWARD_new_sig         = f35
+NEXTTOWARD_lden_sig        = f36
+NEXTTOWARD_snorm_sig       = f37
+NEXTTOWARD_exp1            = f38
+NEXTTOWARD_tmp             = f39
+
+//
+// Overview of operation
+//==============================================================
+// nexttowardl determines the next representable value 
+// after x in the direction of y. 
+
+
+.section .text
+GLOBAL_LIBM_ENTRY(nexttowardl)
+
+// Extract signexp from x
+// Is x < y ?  p10 if yes, p11 if no
+// Form smallest denormal significand = ulp size
+{ .mfi
+      getf.exp nexttoward_GR_exp      = f8
+      fcmp.lt.s1 p10,p11 = f8, f9                
+      addl nexttoward_GR_sden_sig = 0x1, r0
+}
+// Form largest normal significand 0xffffffffffffffff
+// Form smallest normal exponent
+{ .mfi
+      addl nexttoward_GR_lnorm_sig = -0x1,r0
+      nop.f 999
+      addl nexttoward_GR_min_pexp = 0x0c001, r0 ;;
+}
+
+// Extract significand from x
+// Is x=y?   This fcmp also sets Invalid and Denormal if required
+// Form largest normal exponent
+{ .mfi
+      getf.sig nexttoward_GR_sig      = f8
+      fcmp.eq.s0 p6,p0 = f8, f9
+      addl nexttoward_GR_max_pexp = 0x13ffe, r0
+}
+// Move largest normal significand to fp reg for special cases
+{ .mfi
+      setf.sig NEXTTOWARD_lnorm_sig = nexttoward_GR_lnorm_sig
+      nop.f 999
+      addl nexttoward_GR_sign_mask = 0x20000, r0 ;;
+}
+
+// Move smallest denormal significand and exp to fp regs
+// Is x=nan?
+// Set p12 and p13 based on whether significand increases or decreases
+// It increases (p12 set) if x<y and x>=0 or if x>y and x<0
+// It decreases (p13 set) if x<y and x<0  or if x>y and x>=0
+{ .mfi
+      setf.sig NEXTTOWARD_sden_sig = nexttoward_GR_sden_sig
+      fclass.m  p8,p0 = f8, 0xc3           
+(p10) cmp.lt p12,p13 = nexttoward_GR_exp, nexttoward_GR_sign_mask
+}
+// Move smallest normal exp to fp regs
+{ .mfi
+      setf.exp NEXTTOWARD_snorm_exp = nexttoward_GR_min_pexp
+      nop.f 999
+(p11) cmp.ge p12,p13 = nexttoward_GR_exp, nexttoward_GR_sign_mask ;;
+}
+
+.pred.rel "mutex",p12,p13
+
+// Form expected new significand, adding or subtracting 1 ulp increment
+// If x=y set result to y
+// Form smallest normal significand and largest denormal significand
+{ .mfi
+(p12) add nexttoward_GR_new_sig = nexttoward_GR_sig, nexttoward_GR_sden_sig
+(p6)  fmerge.s f8=f9,f9
+      dep.z nexttoward_GR_snorm_sig = 1,63,1 // 0x8000000000000000
+}
+{ .mlx
+(p13) sub nexttoward_GR_new_sig = nexttoward_GR_sig, nexttoward_GR_sden_sig
+      movl nexttoward_GR_lden_sig = 0x7fffffffffffffff ;;
+}
+
+// Move expected result significand and signexp to fp regs
+// Is y=nan?
+// Form new exponent in case result exponent needs incrementing or decrementing
+{ .mfi
+      setf.exp NEXTTOWARD_new_exp = nexttoward_GR_exp
+      fclass.m  p9,p0 = f9, 0xc3           
+(p12) add nexttoward_GR_exp1 = 1, nexttoward_GR_exp
+}
+{ .mib
+      setf.sig NEXTTOWARD_new_sig = nexttoward_GR_new_sig
+(p13) add nexttoward_GR_exp1 = -1, nexttoward_GR_exp
+(p6)  br.ret.spnt    b0 ;;             // Exit if x=y
+}
+
+// Move largest normal signexp to fp reg for special cases
+// Is x=zero?
+{ .mfi
+      setf.exp NEXTTOWARD_lnorm_exp = nexttoward_GR_max_pexp
+      fclass.m  p7,p0 = f8, 0x7
+      nop.i 999
+}
+{ .mfb
+      setf.exp NEXTTOWARD_den_exp = nexttoward_GR_min_pexp
+(p8)  fma.s0 f8 = f8,f1,f9                     
+(p8)  br.ret.spnt    b0 ;;             // Exit if x=nan
+}
+
+// Move exp+-1 and smallest normal significand to fp regs for special cases
+// Is x=inf?
+{ .mfi
+      setf.exp NEXTTOWARD_exp1 = nexttoward_GR_exp1
+      fclass.m  p6,p0 = f8, 0x23           
+      addl nexttoward_GR_exp_mask = 0x1ffff, r0
+}
+{ .mfb
+      setf.sig NEXTTOWARD_snorm_sig = nexttoward_GR_snorm_sig
+(p9)  fma.s0 f8 = f8,f1,f9                     
+(p9)  br.ret.spnt    b0 ;;             // Exit if y=nan
+}
+
+// Move largest denormal significand to fp regs for special cases
+// Save x
+{ .mfb
+      setf.sig NEXTTOWARD_lden_sig = nexttoward_GR_lden_sig
+      mov NEXTTOWARD_save_f8 = f8
+(p7)  br.cond.spnt NEXTTOWARD_ZERO ;;   // Exit if x=0   
+}
+
+// Mask off the sign to get x_exp
+{ .mfb
+      and nexttoward_GR_x_exp = nexttoward_GR_exp_mask, nexttoward_GR_exp
+      nop.f 999
+(p6)  br.cond.spnt NEXTTOWARD_INF ;;   // Exit if x=inf   
+}
+
+// Check 5 special cases when significand rolls over:
+//  1 sig size incr, x_sig=max_sig, x_exp < max_exp
+//     Set p6, result is sig=min_sig, exp++
+//  2 sig size incr, x_sig=max_sig, x_exp >= max_exp
+//     Set p7, result is inf, signal overflow
+//  3 sig size decr, x_sig=min_sig, x_exp > min_exp
+//     Set p8, result is sig=max_sig, exp--
+//  4 sig size decr, x_sig=min_sig, x_exp = min_exp
+//     Set p9, result is sig=max_den_sig, exp same, signal underflow and inexact
+//  5 sig size decr, x_sig=min_den_sig, x_exp = min_exp
+//     Set p10, result is zero, sign of x, signal underflow and inexact
+//
+{ .mmi
+(p12) cmp.eq.unc p6,p0 = nexttoward_GR_new_sig, r0
+(p13) cmp.eq.unc p9,p10 = nexttoward_GR_new_sig, nexttoward_GR_lden_sig
+      nop.i 999
+;;
+}
+
+{ .mmi
+(p6)  cmp.lt.unc p6,p7 = nexttoward_GR_x_exp, nexttoward_GR_max_pexp
+(p10) cmp.eq.unc p10,p0 = nexttoward_GR_new_sig, r0
+(p9)  cmp.le.unc p9,p8 = nexttoward_GR_x_exp, nexttoward_GR_min_pexp 
+;;
+}
+
+// Create small normal in case need to generate underflow flag
+{ .mfi
+      nop.m 999
+      fmerge.se NEXTTOWARD_tmp = NEXTTOWARD_snorm_exp, NEXTTOWARD_lnorm_sig
+      nop.i 999
+}
+// Branch if cases 1, 2, 3
+{ .bbb
+(p6)  br.cond.spnt NEXTTOWARD_EXPUP
+(p7)  br.cond.spnt NEXTTOWARD_OVERFLOW
+(p8)  br.cond.spnt NEXTTOWARD_EXPDOWN ;;
+}
+
+// Branch if cases 4, 5
+{ .mbb
+      nop.m 999
+(p9)  br.cond.spnt NEXTTOWARD_NORM_TO_DENORM
+(p10) br.cond.spnt NEXTTOWARD_UNDERFLOW_TO_ZERO
+;;
+}
+
+// Here if no special cases
+// Set p6 if result will be a denormal, so can force underflow flag
+//    Case 1:  x_exp=min_exp, x_sig=unnormalized
+//    Case 2:  x_exp<min_exp
+{ .mfi
+      cmp.lt p6,p7 = nexttoward_GR_x_exp, nexttoward_GR_min_pexp
+      fmerge.se f8 = NEXTTOWARD_new_exp, NEXTTOWARD_new_sig
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
+      nop.f 999
+(p6)  tbit.z p6,p0 = nexttoward_GR_new_sig, 63 ;;
+}
+
+NEXTTOWARD_COMMON_FINISH:
+// Force underflow and inexact if denormal result
+{ .mfi
+      nop.m 999
+(p6)  fma.s0 NEXTTOWARD_tmp = NEXTTOWARD_tmp,NEXTTOWARD_tmp,f0
+      nop.i 999 ;;
+}
+
+// Final normalization to result precision and exit
+{ .mfb
+      nop.m 999
+      fnorm.s0 f8 = f8
+      br.ret.sptk b0;;
+}
+
+//Special cases
+NEXTTOWARD_EXPUP:
+{ .mfb
+      cmp.lt p6,p7 = nexttoward_GR_x_exp, nexttoward_GR_min_pexp
+      fmerge.se f8 = NEXTTOWARD_exp1, NEXTTOWARD_snorm_sig
+      br.cond.sptk NEXTTOWARD_COMMON_FINISH ;;
+}
+
+NEXTTOWARD_EXPDOWN:
+{ .mfb
+      cmp.lt p6,p7 = nexttoward_GR_x_exp, nexttoward_GR_min_pexp
+      fmerge.se f8 = NEXTTOWARD_exp1, NEXTTOWARD_lnorm_sig
+      br.cond.sptk NEXTTOWARD_COMMON_FINISH ;;
+}
+
+NEXTTOWARD_NORM_TO_DENORM:
+{ .mfi
+      nop.m 999
+      fmerge.se f8 = NEXTTOWARD_exp1, NEXTTOWARD_lden_sig
+      nop.i 999
+}
+// Force underflow and inexact
+{ .mfb
+      nop.m 999
+      fma.s0 NEXTTOWARD_tmp = NEXTTOWARD_tmp,NEXTTOWARD_tmp,f0
+      br.ret.sptk b0 ;;
+}
+
+NEXTTOWARD_UNDERFLOW_TO_ZERO:
+{ .mfb
+      cmp.eq p6,p0 = r0,r0
+      fmerge.s f8 = NEXTTOWARD_save_f8,f0
+      br.cond.sptk NEXTTOWARD_COMMON_FINISH ;;
+}
+
+NEXTTOWARD_INF: 
+// Here if f8 is +- infinity
+// INF
+// if f8 is +inf, no matter what y is return  largest long double
+// if f8 is -inf, no matter what y is return -largest long double
+
+// Create largest long double
+{ .mfi
+      nop.m 999
+      fmerge.se NEXTTOWARD_lnorm = NEXTTOWARD_lnorm_exp,NEXTTOWARD_lnorm_sig
+      nop.i 999 ;;
+}
+
+{ .mfb
+      nop.m 999
+      fmerge.s f8 = f8,NEXTTOWARD_lnorm                
+      br.ret.sptk    b0 ;;                        
+}
+
+NEXTTOWARD_ZERO: 
+
+// Here if f8 is +- zero
+// ZERO
+// if f8 is zero and y is +, return + smallest long double denormal 
+// if f8 is zero and y is -, return - smallest long double denormal 
+
+{ .mfi
+      nop.m 999
+      fmerge.se NEXTTOWARD_sden = f0,NEXTTOWARD_sden_sig
+      nop.i 999 ;;
+}
+
+// Create small normal to generate underflow flag
+{ .mfi
+      nop.m 999
+      fmerge.se NEXTTOWARD_tmp = NEXTTOWARD_snorm_exp, NEXTTOWARD_lnorm_sig
+      nop.i 999 ;;
+}
+
+// Add correct sign from direction arg
+{ .mfi
+      nop.m 999
+      fmerge.s f8 = f9,NEXTTOWARD_sden                
+      nop.i 999 ;;
+}
+
+// Force underflow and inexact flags
+{ .mfb
+      nop.m 999
+      fma.s0 NEXTTOWARD_tmp = NEXTTOWARD_tmp,NEXTTOWARD_tmp,f0
+      br.ret.sptk    b0 ;;                        
+}
+
+GLOBAL_LIBM_END(nexttowardl)
+// Stack operations when calling error support.
+//       (1)               (2)                          (3) (call)              (4)
+//   sp   -> +          psp -> +                     psp -> +                   sp -> +
+//           |                 |                            |                         |
+//           |                 | <- GR_Y               R3 ->| <- GR_RESULT            | -> f8
+//           |                 |                            |                         |
+//           | <-GR_Y      Y2->|                       Y2 ->| <- GR_Y                 |
+//           |                 |                            |                         |
+//           |                 | <- GR_X               X1 ->|                         |
+//           |                 |                            |                         |
+//  sp-64 -> +          sp ->  +                     sp ->  +                         +
+//    save ar.pfs          save b0                                               restore gp
+//    save gp                                                                    restore ar.pfs
+
+
+
+LOCAL_LIBM_ENTRY(__libm_error_region)
+NEXTTOWARD_OVERFLOW: 
+// Here if f8 is finite, but result will be infinite
+// Use frcpa to generate infinity of correct sign
+// Call error support to report possible range error
+.prologue
+
+{ .mfi
+      alloc          r32=ar.pfs,2,2,4,0
+      frcpa.s1 f8,p6 = NEXTTOWARD_save_f8, f0
+      nop.i 999 ;;
+}
+
+// Create largest long double
+{ .mfi
+      nop.m 999
+      fmerge.se NEXTTOWARD_lnorm = NEXTTOWARD_lnorm_exp,NEXTTOWARD_lnorm_sig
+      nop.i 999 ;;
+}
+
+// Force overflow and inexact flags to be set
+{ .mfi
+      mov           r39 = 198      // Error code
+      fma.s0  NEXTTOWARD_tmp = NEXTTOWARD_lnorm,NEXTTOWARD_lnorm,f0
+      nop.i 999
+}
+;;
+
+// (1)
+{ .mfi
+        add   GR_Parameter_Y=-32,sp             // Parameter 2 value
+        nop.f 0
+.save   ar.pfs,GR_SAVE_PFS
+        mov  GR_SAVE_PFS=ar.pfs                 // Save ar.pfs
+}
+{ .mfi
+.fframe 64
+        add sp=-64,sp                          // Create new stack
+        nop.f 0
+        mov GR_SAVE_GP=gp                      // Save gp
+};;
+
+
+// (2)
+{ .mmi
+        stfe [GR_Parameter_Y] = f9,16         // STORE Parameter 2 on stack
+        add GR_Parameter_X = 16,sp            // Parameter 1 address
+.save   b0, GR_SAVE_B0
+        mov GR_SAVE_B0=b0                     // Save b0
+};;
+
+.body
+// (3)
+{ .mib
+        stfe [GR_Parameter_X] = NEXTTOWARD_save_f8              // STORE Parameter 1 on stack
+        add   GR_Parameter_RESULT = 0,GR_Parameter_Y           // Parameter 3 address
+        nop.b 0                                
+}
+{ .mib
+        stfe [GR_Parameter_Y] = f8              // STORE Parameter 3 on stack
+        add   GR_Parameter_Y = -16,GR_Parameter_Y
+        br.call.sptk b0=__libm_error_support#   // Call error handling function
+};;
+{ .mmi
+        nop.m 0
+        nop.m 0
+        add   GR_Parameter_RESULT = 48,sp
+};;
+
+// (4)
+{ .mmi
+        ldfe  f8 = [GR_Parameter_RESULT]       // Get return result off stack
+.restore sp
+        add   sp = 64,sp                       // Restore stack pointer
+        mov   b0 = GR_SAVE_B0                  // Restore return address
+};;
+{ .mib
+        mov   gp = GR_SAVE_GP                  // Restore gp
+        mov   ar.pfs = GR_SAVE_PFS             // Restore ar.pfs
+        br.ret.sptk     b0                     // Return
+};;
+
+LOCAL_LIBM_END(__libm_error_region)
+
+
+.type   __libm_error_support#,@function
+.global __libm_error_support#
+
diff --git a/sysdeps/ia64/fpu/s_rint.S b/sysdeps/ia64/fpu/s_rint.S
index d04f06a31f..1735d9b498 100644
--- a/sysdeps/ia64/fpu/s_rint.S
+++ b/sysdeps/ia64/fpu/s_rint.S
@@ -1,10 +1,10 @@
 .file "rint.s"
 
-// Copyright (C) 2000, 2001, Intel Corporation
+
+// Copyright (c) 2000 - 2003, Intel Corporation
 // All rights reserved.
-// 
-// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story,
-// and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
 //
 // Redistribution and use in source and binary forms, with or without
 // modification, are permitted provided that the following conditions are
@@ -20,74 +20,68 @@
 // * The name of Intel Corporation may not be used to endorse or promote
 // products derived from this software without specific prior written
 // permission.
-//
-// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
-// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
-// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS 
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
 // CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
-// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, 
-// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 
-// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY 
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
 // OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
-// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 
-// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 
-// 
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+//
 // Intel Corporation is the author of this code, and requests that all
-// problem reports or change requests be submitted to it directly at 
-// http://developer.intel.com/opensource.
+// problem reports or change requests be submitted to it directly at
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
 //
 // History
 //==============================================================
-// 2/02/00: Initial version
-// 2/08/01  Corrected behavior for all rounding modes.
-//
+// 02/02/00 Initial version
+// 02/08/01 Corrected behavior for all rounding modes.
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 01/20/03 Improved performance
+//==============================================================
+
 // API
 //==============================================================
 // double rint(double x)
+//==============================================================
 
-#include "libm_support.h"
-
-//
-// general registers used:  
-//
-rint_GR_FFFF      = r14
-rint_GR_signexp   = r15
-rint_GR_exponent  = r16
-rint_GR_17ones    = r17
-rint_GR_10033     = r18
-rint_GR_fpsr      = r19
-rint_GR_rcs0      = r20
-rint_GR_rcs0_mask = r21
+// general input registers:
+// r14 - r21
 
+rSignexp   = r14
+rExp       = r15
+rExpMask   = r16
+rBigexp    = r17
+rM1        = r18
+rFpsr      = r19
+rRcs0      = r20
+rRcs0Mask  = r21
 
-// predicate registers used: 
-// p6-11
+// floating-point registers:
+// f8 - f11
 
-// floating-point registers used: 
+fXInt      = f9
+fNormX     = f10
+fTmp       = f11
 
-RINT_NORM_f8      = f9                        
-RINT_FFFF         = f10 
-RINT_INEXACT      = f11 
-RINT_FLOAT_INT_f8 = f12
-RINT_INT_f8       = f13
+// predicate registers used:
+// p6 - p10
 
 // Overview of operation
 //==============================================================
-
 // double rint(double x)
-// Return an integer value (represented as a double) that is x rounded to integer in current
-// rounding mode 
+// Return an integer value (represented as a double) that is x
+// rounded to integer in current rounding mode
 // Inexact is set if x != rint(x)
-// *******************************************************************************
-
-// Set denormal flag for denormal input and
-// and take denormal fault if necessary.
-
-// Is the input an integer value already?
+//==============================================================
 
 // double_extended
-// if the exponent is >= 1003e => 3F(true) = 63(decimal)
+// if the exponent is > 1003e => 3F(true) = 63(decimal)
 // we have a significand of 64 bits 1.63-bits.
 // If we multiply by 2^63, we no longer have a fractional part
 // So input is an integer value already.
@@ -100,155 +94,136 @@ RINT_INT_f8       = f13
 // So input is an integer value already.
 
 // single
-// if the exponent is >= 10016 => 17(true) = 23(decimal)
-// we have a significand of 53 bits 1.52-bits. (implicit 1)
-// If we multiply by 2^52, we no longer have a fractional part
+// if the exponent is > 10016 => 17(true) = 23(decimal)
+// we have a significand of 24 bits 1.23-bits. (implicit 1)
+// If we multiply by 2^23, we no longer have a fractional part
 // So input is an integer value already.
 
-// If x is NAN, ZERO, or INFINITY, then  return
-
-// qnan snan inf norm     unorm 0 -+
-// 1    1    1   0        0     1 11     0xe7
-
-
-.align 32
-.global rint#
-
 .section .text
-.proc  rint#
-.align 32
-
-
-rint: 
-#ifdef _LIBC
-.global __rint
-.type __rint,@function
-__rint:
-#endif
+GLOBAL_IEEE754_ENTRY(rint)
 
 { .mfi
-      mov rint_GR_fpsr = ar40           // Read the fpsr--need to check rc.s0
-      fcvt.fx.s1     RINT_INT_f8  = f8
-      addl            rint_GR_10033 = 0x10033, r0
+      getf.exp         rSignexp  = f8        // Get signexp, recompute if unorm
+      fclass.m         p7,p0 = f8, 0x0b      // Test x unorm
+      addl             rBigexp = 0x10033, r0 // Set exponent at which is integer
 }
 { .mfi
-      mov        rint_GR_FFFF      = -1
-      fnorm.s1        RINT_NORM_f8  = f8
-      mov         rint_GR_17ones    = 0x1FFFF
-;;
+      mov              rM1 = -1              // Set all ones
+      fcvt.fx.s1       fXInt  = f8           // Convert to int in significand
+      mov              rExpMask    = 0x1FFFF // Form exponent mask
 }
+;;
 
 { .mfi
-      setf.sig    RINT_FFFF  = rint_GR_FFFF
-      fclass.m.unc  p6,p0 = f8, 0xe7
-      mov         rint_GR_rcs0_mask  = 0x0c00
-;;
+      mov              rFpsr = ar40          // Read fpsr -- check rc.s0
+      fclass.m         p6,p0 = f8, 0x1e3     // Test x natval, nan, inf
+      nop.i            0
 }
-
 { .mfb
-	nop.m 999
-(p6)  fnorm.d f8 = f8
-(p6)  br.ret.spnt   b0    // Exit if x nan, inf, zero
-;;
+      setf.sig         fTmp = rM1            // Make const for setting inexact
+      fnorm.s1         fNormX  = f8          // Normalize input
+(p7)  br.cond.spnt     RINT_UNORM            // Branch if x unorm
 }
-
-{ .mfi
-	nop.m 999
-      fcvt.xf         RINT_FLOAT_INT_f8   = RINT_INT_f8
-	nop.i 999
 ;;
+
+
+RINT_COMMON:
+// Return here from RINT_UNORM
+{ .mfb
+      and              rExp = rSignexp, rExpMask // Get biased exponent
+(p6)  fma.d.s0         f8 = f8, f1, f0       // Result if x natval, nan, inf
+(p6)  br.ret.spnt      b0                    // Exit if x natval, nan, inf
 }
+;;
 
 { .mfi
-      getf.exp rint_GR_signexp  = RINT_NORM_f8
-      fcmp.eq.s0  p8,p0 = f8,f0      // Dummy op to set denormal
-        nop.i 999
-;;
+      mov              rRcs0Mask = 0x0c00     // Mask for rc.s0
+      fcvt.xf          f8 = fXInt             // Result assume |x| < 2^52
+      cmp.ge           p7,p8 = rExp, rBigexp  // Is |x| >= 2^52?
 }
-
-
-{ .mii
-	nop.m 999
-	nop.i 999 
-      and      rint_GR_exponent = rint_GR_signexp, rint_GR_17ones
 ;;
-}
 
-{ .mmi
-      cmp.ge.unc      p7,p6 = rint_GR_exponent, rint_GR_10033
-      and rint_GR_rcs0 = rint_GR_rcs0_mask, rint_GR_fpsr
-	nop.i 999
-;;
+// We must correct result if |x| >= 2^52
+{ .mfi
+      nop.m            0
+(p7)  fma.d.s0         f8 = fNormX, f1, f0    // If |x| >= 2^52, result x
+      nop.i            0
 }
-
-// Check to see if s0 rounding mode is round to nearest.  If not then set s2
-// rounding mode to that of s0 and repeat conversions.
-L(RINT_COMMON):
-{ .mfb
-      cmp.ne   p11,p0 = rint_GR_rcs0, r0
-(p6) fclass.m.unc   p9,p10  = RINT_FLOAT_INT_f8, 0x07  // Test for result=0
-(p11) br.cond.spnt L(RINT_NOT_ROUND_NEAREST)  // Branch if not round to nearest
 ;;
-}
 
 { .mfi
-	nop.m 999
-(p6) fcmp.eq.unc.s1  p0,p8  = RINT_FLOAT_INT_f8, RINT_NORM_f8
-	nop.i 999
+      nop.m            0
+      fcmp.eq.unc.s1   p0, p9 = f8, fNormX    // Is result = x ?
+      nop.i            0
 }
 { .mfi
-	nop.m 999
-(p7) fnorm.d.s0   f8 = f8
-	nop.i 999
-;;
+      nop.m            0
+(p8)  fmerge.s         f8 = fNormX, f8        // Make sure sign rint(x) = sign x
+      nop.i            0
 }
+;;
 
-// If result is zero, merge sign of input
 { .mfi
-     nop.m 999
-(p9) fmerge.s f8 = f8, RINT_FLOAT_INT_f8
-     nop.i 999
+(p8)  and              rRcs0 = rFpsr, rRcs0Mask // Get rounding mode for sf0
+      nop.f            0
+      nop.i            0
 }
-{ .mfi
-      nop.m 999
-(p10) fnorm.d f8 = RINT_FLOAT_INT_f8
-     nop.i 999
 ;;
+
+// If |x| < 2^52 we must test for other rounding modes
+{ .mfi
+(p8)  cmp.ne.unc       p10,p0 = rRcs0, r0     // Test for other rounding modes
+(p9)  fmpy.s0          fTmp = fTmp, fTmp      // Dummy to set inexact
+      nop.i            0
+}
+{ .mbb
+      nop.m            0
+(p10) br.cond.spnt     RINT_NOT_ROUND_NEAREST // Branch if not round nearest
+      br.ret.sptk      b0                     // Exit main path if round nearest
 }
+;;
+
 
+
+RINT_UNORM:
+// Here if x unorm
 { .mfb
-     nop.m 999
-(p8) fmpy.s0     RINT_INEXACT = RINT_FFFF,RINT_FFFF  // Dummy to set inexact
-     br.ret.sptk    b0
-;;
+      getf.exp         rSignexp  = fNormX     // Get signexp, recompute if unorm
+      fcmp.eq.s0       p7,p0 = f8, f0         // Dummy op to set denormal flag
+      br.cond.sptk     RINT_COMMON            // Return to main path
 }
+;;
 
-L(RINT_NOT_ROUND_NEAREST):
-// Set rounding mode of s2 to that of s0
+RINT_NOT_ROUND_NEAREST:
+// Here if not round to nearest, and |x| < 2^52
+// Set rounding mode of s2 to that of s0, and repeat the conversion using s2
 { .mfi
-      mov rint_GR_rcs0 = r0       // Clear so we don't come back here
-      fsetc.s2     0x7f, 0x40
-	nop.i 999
-;;
+      nop.m            0
+      fsetc.s2         0x7f, 0x40
+      nop.i            0
 }
+;;
 
 { .mfi
-	nop.m 999
-      fcvt.fx.s2     RINT_INT_f8  = f8
-	nop.i 999
+      nop.m            0
+      fcvt.fx.s2       fXInt  = fNormX        // Convert to int in significand
+      nop.i            0
+}
 ;;
+
+{ .mfi
+      nop.m            0
+      fcvt.xf          f8 = fXInt             // Expected result
+      nop.i            0
 }
+;;
 
+// Be sure sign of result = sign of input.  Fixes cases where result is 0.
 { .mfb
-	nop.m 999
-      fcvt.xf         RINT_FLOAT_INT_f8   = RINT_INT_f8
-      br.cond.sptk  L(RINT_COMMON)
-;;
+      nop.m            0
+      fmerge.s         f8 = fNormX, f8
+      br.ret.sptk      b0                     // Exit main path
 }
+;;
 
-
-.endp rint
-ASM_SIZE_DIRECTIVE(rint)
-#ifdef _LIBC
-ASM_SIZE_DIRECTIVE(__rint)
-#endif
+GLOBAL_IEEE754_END(rint)
diff --git a/sysdeps/ia64/fpu/s_rintf.S b/sysdeps/ia64/fpu/s_rintf.S
index 73cb98a048..05d6b411f2 100644
--- a/sysdeps/ia64/fpu/s_rintf.S
+++ b/sysdeps/ia64/fpu/s_rintf.S
@@ -1,10 +1,10 @@
 .file "rintf.s"
 
-// Copyright (C) 2000, 2001, Intel Corporation
+
+// Copyright (c) 2000 - 2003, Intel Corporation
 // All rights reserved.
-// 
-// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story,
-// and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
 //
 // Redistribution and use in source and binary forms, with or without
 // modification, are permitted provided that the following conditions are
@@ -20,74 +20,68 @@
 // * The name of Intel Corporation may not be used to endorse or promote
 // products derived from this software without specific prior written
 // permission.
-//
-// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
-// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
-// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS 
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
 // CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
-// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, 
-// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 
-// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY 
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
 // OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
-// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 
-// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 
-// 
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+//
 // Intel Corporation is the author of this code, and requests that all
-// problem reports or change requests be submitted to it directly at 
-// http://developer.intel.com/opensource.
+// problem reports or change requests be submitted to it directly at
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
 //
 // History
 //==============================================================
-// 2/02/00: Initial version
-// 2/08/01  Corrected behavior for all rounding modes.
-//
+// 02/02/00 Initial version
+// 02/08/01 Corrected behavior for all rounding modes.
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 01/20/03 Improved performance
+//==============================================================
+
 // API
 //==============================================================
 // float rintf(float x)
+//==============================================================
 
-#include "libm_support.h"
-
-//
-// general registers used:  
-//
-rint_GR_FFFF      = r14
-rint_GR_signexp   = r15
-rint_GR_exponent  = r16
-rint_GR_17ones    = r17
-rint_GR_10033     = r18
-rint_GR_fpsr      = r19
-rint_GR_rcs0      = r20
-rint_GR_rcs0_mask = r21
+// general input registers:
+// r14 - r21
 
+rSignexp   = r14
+rExp       = r15
+rExpMask   = r16
+rBigexp    = r17
+rM1        = r18
+rFpsr      = r19
+rRcs0      = r20
+rRcs0Mask  = r21
 
-// predicate registers used: 
-// p6-11
+// floating-point registers:
+// f8 - f11
 
-// floating-point registers used: 
+fXInt      = f9
+fNormX     = f10
+fTmp       = f11
 
-RINT_NORM_f8      = f9                        
-RINT_FFFF         = f10 
-RINT_INEXACT      = f11 
-RINT_FLOAT_INT_f8 = f12
-RINT_INT_f8       = f13
+// predicate registers used:
+// p6 - p10
 
 // Overview of operation
 //==============================================================
-
 // float rintf(float x)
-// Return an integer value (represented as a float) that is x rounded to integer in current
-// rounding mode 
-// Inexact is set if x != rintf(x)
-// *******************************************************************************
-
-// Set denormal flag for denormal input and
-// and take denormal fault if necessary.
-
-// Is the input an integer value already?
+// Return an integer value (represented as a float) that is x
+// rounded to integer in current rounding mode
+// Inexact is set if x != rint(x)
+//==============================================================
 
 // double_extended
-// if the exponent is >= 1003e => 3F(true) = 63(decimal)
+// if the exponent is > 1003e => 3F(true) = 63(decimal)
 // we have a significand of 64 bits 1.63-bits.
 // If we multiply by 2^63, we no longer have a fractional part
 // So input is an integer value already.
@@ -100,155 +94,136 @@ RINT_INT_f8       = f13
 // So input is an integer value already.
 
 // single
-// if the exponent is >= 10016 => 17(true) = 23(decimal)
-// we have a significand of 53 bits 1.52-bits. (implicit 1)
-// If we multiply by 2^52, we no longer have a fractional part
+// if the exponent is > 10016 => 17(true) = 23(decimal)
+// we have a significand of 24 bits 1.23-bits. (implicit 1)
+// If we multiply by 2^23, we no longer have a fractional part
 // So input is an integer value already.
 
-// If x is NAN, ZERO, or INFINITY, then  return
-
-// qnan snan inf norm     unorm 0 -+
-// 1    1    1   0        0     1 11     0xe7
-
-
-.align 32
-.global rintf#
-
 .section .text
-.proc  rintf#
-.align 32
-
-
-rintf:
-#ifdef _LIBC
-.global __rintf
-.type __rintf,@function
-__rintf:
-#endif
+GLOBAL_IEEE754_ENTRY(rintf)
 
 { .mfi
-      mov rint_GR_fpsr = ar40           // Read the fpsr--need to check rc.s0
-      fcvt.fx.s1     RINT_INT_f8  = f8
-      addl            rint_GR_10033 = 0x10016, r0
+      getf.exp         rSignexp  = f8        // Get signexp, recompute if unorm
+      fclass.m         p7,p0 = f8, 0x0b      // Test x unorm
+      addl             rBigexp = 0x10016, r0 // Set exponent at which is integer
 }
 { .mfi
-      mov        rint_GR_FFFF      = -1
-      fnorm.s1        RINT_NORM_f8  = f8
-      mov         rint_GR_17ones    = 0x1FFFF
-;;
+      mov              rM1 = -1              // Set all ones
+      fcvt.fx.s1       fXInt  = f8           // Convert to int in significand
+      mov              rExpMask    = 0x1FFFF // Form exponent mask
 }
+;;
 
 { .mfi
-      setf.sig    RINT_FFFF  = rint_GR_FFFF
-      fclass.m.unc  p6,p0 = f8, 0xe7
-      mov         rint_GR_rcs0_mask  = 0x0c00
-;;
+      mov              rFpsr = ar40          // Read fpsr -- check rc.s0
+      fclass.m         p6,p0 = f8, 0x1e3     // Test x natval, nan, inf
+      nop.i            0
 }
-
 { .mfb
-	nop.m 999
-(p6)  fnorm.s f8 = f8
-(p6)  br.ret.spnt   b0    // Exit if x nan, inf, zero
-;;
+      setf.sig         fTmp = rM1            // Make const for setting inexact
+      fnorm.s1         fNormX  = f8          // Normalize input
+(p7)  br.cond.spnt     RINT_UNORM            // Branch if x unorm
 }
-
-{ .mfi
-	nop.m 999
-      fcvt.xf         RINT_FLOAT_INT_f8   = RINT_INT_f8
-	nop.i 999
 ;;
+
+
+RINT_COMMON:
+// Return here from RINT_UNORM
+{ .mfb
+      and              rExp = rSignexp, rExpMask // Get biased exponent
+(p6)  fma.s.s0         f8 = f8, f1, f0       // Result if x natval, nan, inf
+(p6)  br.ret.spnt      b0                    // Exit if x natval, nan, inf
 }
+;;
 
 { .mfi
-      getf.exp rint_GR_signexp  = RINT_NORM_f8
-      fcmp.eq.s0  p8,p0 = f8,f0      // Dummy op to set denormal
-        nop.i 999
-;;
+      mov              rRcs0Mask = 0x0c00     // Mask for rc.s0
+      fcvt.xf          f8 = fXInt             // Result assume |x| < 2^23
+      cmp.ge           p7,p8 = rExp, rBigexp  // Is |x| >= 2^23?
 }
-
-
-{ .mii
-	nop.m 999
-	nop.i 999 
-      and      rint_GR_exponent = rint_GR_signexp, rint_GR_17ones
 ;;
-}
 
-{ .mmi
-      cmp.ge.unc      p7,p6 = rint_GR_exponent, rint_GR_10033
-      and rint_GR_rcs0 = rint_GR_rcs0_mask, rint_GR_fpsr
-	nop.i 999
-;;
+// We must correct result if |x| >= 2^23
+{ .mfi
+      nop.m            0
+(p7)  fma.s.s0         f8 = fNormX, f1, f0    // If |x| >= 2^23, result x
+      nop.i            0
 }
-
-// Check to see if s0 rounding mode is round to nearest.  If not then set s2
-// rounding mode to that of s0 and repeat conversions.
-L(RINT_COMMON):
-{ .mfb
-      cmp.ne   p11,p0 = rint_GR_rcs0, r0
-(p6) fclass.m.unc   p9,p10  = RINT_FLOAT_INT_f8, 0x07  // Test for result=0
-(p11) br.cond.spnt L(RINT_NOT_ROUND_NEAREST)  // Branch if not round to nearest
 ;;
-}
 
 { .mfi
-	nop.m 999
-(p6) fcmp.eq.unc.s1  p0,p8  = RINT_FLOAT_INT_f8, RINT_NORM_f8
-	nop.i 999
+      nop.m            0
+      fcmp.eq.unc.s1   p0, p9 = f8, fNormX    // Is result = x ?
+      nop.i            0
 }
 { .mfi
-	nop.m 999
-(p7) fnorm.s.s0   f8 = f8
-	nop.i 999
-;;
+      nop.m            0
+(p8)  fmerge.s         f8 = fNormX, f8        // Make sure sign rint(x) = sign x
+      nop.i            0
 }
+;;
 
-// If result is zero, merge sign of input
 { .mfi
-     nop.m 999
-(p9) fmerge.s f8 = f8, RINT_FLOAT_INT_f8
-     nop.i 999
+(p8)  and              rRcs0 = rFpsr, rRcs0Mask // Get rounding mode for sf0
+      nop.f            0
+      nop.i            0
 }
-{ .mfi
-      nop.m 999
-(p10) fnorm.s f8 = RINT_FLOAT_INT_f8
-     nop.i 999
 ;;
+
+// If |x| < 2^23 we must test for other rounding modes
+{ .mfi
+(p8)  cmp.ne.unc       p10,p0 = rRcs0, r0     // Test for other rounding modes
+(p9)  fmpy.s0          fTmp = fTmp, fTmp      // Dummy to set inexact
+      nop.i            0
+}
+{ .mbb
+      nop.m            0
+(p10) br.cond.spnt     RINT_NOT_ROUND_NEAREST // Branch if not round nearest
+      br.ret.sptk      b0                     // Exit main path if round nearest
 }
+;;
+
 
+
+RINT_UNORM:
+// Here if x unorm
 { .mfb
-     nop.m 999
-(p8) fmpy.s0     RINT_INEXACT = RINT_FFFF,RINT_FFFF  // Dummy to set inexact
-     br.ret.sptk    b0
-;;
+      getf.exp         rSignexp  = fNormX     // Get signexp, recompute if unorm
+      fcmp.eq.s0       p7,p0 = f8, f0         // Dummy op to set denormal flag
+      br.cond.sptk     RINT_COMMON            // Return to main path
 }
+;;
 
-L(RINT_NOT_ROUND_NEAREST):
-// Set rounding mode of s2 to that of s0
+RINT_NOT_ROUND_NEAREST:
+// Here if not round to nearest, and |x| < 2^23
+// Set rounding mode of s2 to that of s0, and repeat the conversion using s2
 { .mfi
-      mov rint_GR_rcs0 = r0       // Clear so we don't come back here
-      fsetc.s2     0x7f, 0x40
-	nop.i 999
-;;
+      nop.m            0
+      fsetc.s2         0x7f, 0x40
+      nop.i            0
 }
+;;
 
 { .mfi
-	nop.m 999
-      fcvt.fx.s2     RINT_INT_f8  = f8
-	nop.i 999
+      nop.m            0
+      fcvt.fx.s2       fXInt  = fNormX        // Convert to int in significand
+      nop.i            0
+}
 ;;
+
+{ .mfi
+      nop.m            0
+      fcvt.xf          f8 = fXInt             // Expected result
+      nop.i            0
 }
+;;
 
+// Be sure sign of result = sign of input.  Fixes cases where result is 0.
 { .mfb
-	nop.m 999
-      fcvt.xf         RINT_FLOAT_INT_f8   = RINT_INT_f8
-      br.cond.sptk  L(RINT_COMMON)
-;;
+      nop.m            0
+      fmerge.s         f8 = fNormX, f8
+      br.ret.sptk      b0                     // Exit main path
 }
+;;
 
-
-.endp rintf
-ASM_SIZE_DIRECTIVE(rintf)
-#ifdef _LIBC
-ASM_SIZE_DIRECTIVE(__rintf)
-#endif
+GLOBAL_IEEE754_END(rintf)
diff --git a/sysdeps/ia64/fpu/s_rintl.S b/sysdeps/ia64/fpu/s_rintl.S
index 857e8d5208..b5402149ec 100644
--- a/sysdeps/ia64/fpu/s_rintl.S
+++ b/sysdeps/ia64/fpu/s_rintl.S
@@ -1,10 +1,10 @@
 .file "rintl.s"
 
-// Copyright (C) 2000, 2001, Intel Corporation
+
+// Copyright (c) 2000 - 2003, Intel Corporation
 // All rights reserved.
-// 
-// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story,
-// and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
 //
 // Redistribution and use in source and binary forms, with or without
 // modification, are permitted provided that the following conditions are
@@ -20,76 +20,68 @@
 // * The name of Intel Corporation may not be used to endorse or promote
 // products derived from this software without specific prior written
 // permission.
-//
-// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
-// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
-// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS 
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
 // CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
-// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, 
-// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 
-// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY 
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
 // OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
-// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 
-// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 
-// 
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+//
 // Intel Corporation is the author of this code, and requests that all
-// problem reports or change requests be submitted to it directly at 
-// http://developer.intel.com/opensource.
+// problem reports or change requests be submitted to it directly at
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
 //
 // History
 //==============================================================
-// 2/02/00: Initial version
-// 5/24/00  Fixed case of 2^63 - 1 + 0.5 (0x1007dffffffffffffffff)
-// 2/08/01  Corrected behavior for all rounding modes.
-//
+// 02/02/00 Initial version
+// 02/08/01 Corrected behavior for all rounding modes.
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 01/20/03 Improved performance
+//==============================================================
+
 // API
 //==============================================================
 // long double rintl(long double x)
+//==============================================================
 
-#include "libm_support.h"
-
-//
-// general registers used:  
-//
-rint_GR_FFFF      = r14
-rint_GR_signexp   = r15
-rint_GR_exponent  = r16
-rint_GR_17ones    = r17
-rint_GR_10033     = r18
-rint_GR_fpsr      = r19
-rint_GR_rcs0      = r20
-rint_GR_rcs0_mask = r21
+// general input registers:
+// r14 - r21
 
+rSignexp   = r14
+rExp       = r15
+rExpMask   = r16
+rBigexp    = r17
+rM1        = r18
+rFpsr      = r19
+rRcs0      = r20
+rRcs0Mask  = r21
 
-// predicate registers used: 
-// p6-11
+// floating-point registers:
+// f8 - f11
 
-// floating-point registers used: 
+fXInt      = f9
+fNormX     = f10
+fTmp       = f11
 
-RINT_NORM_f8      = f9                        
-RINT_FFFF         = f10 
-RINT_INEXACT      = f11 
-RINT_FLOAT_INT_f8 = f12
-RINT_INT_f8       = f13
-RINT_SIGNED_FLOAT_INT_f8 = f14
+// predicate registers used:
+// p6 - p10
 
 // Overview of operation
 //==============================================================
-
 // long double rintl(long double x)
-// Return an integer value (represented as a long double) that is x rounded to integer in current
-// rounding mode 
-// Inexact is set if x != rintl(x)
-// *******************************************************************************
-
-// Set denormal flag for denormal input and
-// and take denormal fault if necessary.
-
-// Is the input an integer value already?
+// Return an integer value (represented as a long double) that is x
+// rounded to integer in current rounding mode
+// Inexact is set if x != rint(x)
+//==============================================================
 
 // double_extended
-// if the exponent is >= 1003e => 3F(true) = 63(decimal)
+// if the exponent is > 1003e => 3F(true) = 63(decimal)
 // we have a significand of 64 bits 1.63-bits.
 // If we multiply by 2^63, we no longer have a fractional part
 // So input is an integer value already.
@@ -102,151 +94,136 @@ RINT_SIGNED_FLOAT_INT_f8 = f14
 // So input is an integer value already.
 
 // single
-// if the exponent is >= 10016 => 17(true) = 23(decimal)
-// we have a significand of 53 bits 1.52-bits. (implicit 1)
-// If we multiply by 2^52, we no longer have a fractional part
+// if the exponent is > 10016 => 17(true) = 23(decimal)
+// we have a significand of 24 bits 1.23-bits. (implicit 1)
+// If we multiply by 2^23, we no longer have a fractional part
 // So input is an integer value already.
 
-// If x is NAN, ZERO, or INFINITY, then  return
-
-// qnan snan inf norm     unorm 0 -+
-// 1    1    1   0        0     1 11     0xe7
-
-
-.align 32
-.global rintl#
-
 .section .text
-.proc  rintl#
-.align 32
-
-
-rintl: 
-#ifdef _LIBC
-.global __rintl
-.type __rintl,@function
-__rintl:
-#endif
+GLOBAL_IEEE754_ENTRY(rintl)
 
 { .mfi
-      mov rint_GR_fpsr = ar40           // Read the fpsr--need to check rc.s0
-      fcvt.fx.s1     RINT_INT_f8  = f8
-      addl            rint_GR_10033 = 0x1003e, r0
+      getf.exp         rSignexp  = f8        // Get signexp, recompute if unorm
+      fclass.m         p7,p0 = f8, 0x0b      // Test x unorm
+      addl             rBigexp = 0x1003e, r0 // Set exponent at which is integer
 }
 { .mfi
-      mov        rint_GR_FFFF      = -1
-      fnorm.s1        RINT_NORM_f8  = f8
-      mov         rint_GR_17ones    = 0x1FFFF
-;;
+      mov              rM1 = -1              // Set all ones
+      fcvt.fx.s1       fXInt  = f8           // Convert to int in significand
+      mov              rExpMask    = 0x1FFFF // Form exponent mask
 }
+;;
 
 { .mfi
-      setf.sig    RINT_FFFF  = rint_GR_FFFF
-      fclass.m.unc  p6,p0 = f8, 0xe7
-      mov         rint_GR_rcs0_mask  = 0x0c00
-;;
+      mov              rFpsr = ar40          // Read fpsr -- check rc.s0
+      fclass.m         p6,p0 = f8, 0x1e3     // Test x natval, nan, inf
+      nop.i            0
 }
-
 { .mfb
-	nop.m 999
-(p6)  fnorm f8 = f8
-(p6)  br.ret.spnt   b0    // Exit if x nan, inf, zero
-;;
+      setf.sig         fTmp = rM1            // Make const for setting inexact
+      fnorm.s1         fNormX  = f8          // Normalize input
+(p7)  br.cond.spnt     RINT_UNORM            // Branch if x unorm
 }
-
-{ .mfi
-	nop.m 999
-      fcvt.xf         RINT_FLOAT_INT_f8   = RINT_INT_f8
-	nop.i 999
 ;;
+
+
+RINT_COMMON:
+// Return here from RINT_UNORM
+{ .mfb
+      and              rExp = rSignexp, rExpMask // Get biased exponent
+(p6)  fma.s0           f8 = f8, f1, f0       // Result if x natval, nan, inf
+(p6)  br.ret.spnt      b0                    // Exit if x natval, nan, inf
 }
+;;
 
 { .mfi
-      getf.exp rint_GR_signexp  = RINT_NORM_f8
-      fcmp.eq.s0  p8,p0 = f8,f0      // Dummy op to set denormal
-        nop.i 999
-;;
+      mov              rRcs0Mask = 0x0c00     // Mask for rc.s0
+      fcvt.xf          f8 = fXInt             // Result assume |x| < 2^63
+      cmp.ge           p7,p8 = rExp, rBigexp  // Is |x| >= 2^63?
 }
-
-
-{ .mii
-	nop.m 999
-	nop.i 999 
-      and      rint_GR_exponent = rint_GR_signexp, rint_GR_17ones
 ;;
-}
 
-{ .mmi
-      cmp.ge.unc      p7,p6 = rint_GR_exponent, rint_GR_10033
-      and rint_GR_rcs0 = rint_GR_rcs0_mask, rint_GR_fpsr
-	nop.i 999
-;;
+// We must correct result if |x| >= 2^63
+{ .mfi
+      nop.m            0
+(p7)  fma.s0           f8 = fNormX, f1, f0    // If |x| >= 2^63, result x
+      nop.i            0
 }
-
-// Check to see if s0 rounding mode is round to nearest.  If not then set s2
-// rounding mode to that of s0 and repeat conversions.
-// Must merge the original sign for cases where the result is zero or the input
-// is the largest that still has a fraction (0x1007dfffffffffff)
-L(RINT_COMMON):
-{ .mfb
-      cmp.ne   p11,p0 = rint_GR_rcs0, r0
-(p6) fmerge.s  RINT_SIGNED_FLOAT_INT_f8 = f8, RINT_FLOAT_INT_f8
-(p11) br.cond.spnt L(RINT_NOT_ROUND_NEAREST)  // Branch if not round to nearest
 ;;
-}
 
 { .mfi
-	nop.m 999
-(p6) fcmp.eq.unc.s1  p0,p8  = RINT_FLOAT_INT_f8, RINT_NORM_f8
-	nop.i 999
+      nop.m            0
+      fcmp.eq.unc.s1   p0, p9 = f8, fNormX    // Is result = x ?
+      nop.i            0
 }
 { .mfi
-	nop.m 999
-(p7) fnorm.s0   f8 = f8
-	nop.i 999
-;;
+      nop.m            0
+(p8)  fmerge.s         f8 = fNormX, f8        // Make sure sign rint(x) = sign x
+      nop.i            0
 }
+;;
 
 { .mfi
-      nop.m 999
-(p6) fnorm f8 = RINT_SIGNED_FLOAT_INT_f8
-     nop.i 999
+(p8)  and              rRcs0 = rFpsr, rRcs0Mask // Get rounding mode for sf0
+      nop.f            0
+      nop.i            0
+}
 ;;
+
+// If |x| < 2^63 we must test for other rounding modes
+{ .mfi
+(p8)  cmp.ne.unc       p10,p0 = rRcs0, r0     // Test for other rounding modes
+(p9)  fmpy.s0          fTmp = fTmp, fTmp      // Dummy to set inexact
+      nop.i            0
+}
+{ .mbb
+      nop.m            0
+(p10) br.cond.spnt     RINT_NOT_ROUND_NEAREST // Branch if not round nearest
+      br.ret.sptk      b0                     // Exit main path if round nearest
 }
+;;
+
 
+
+RINT_UNORM:
+// Here if x unorm
 { .mfb
-     nop.m 999
-(p8) fmpy.s0     RINT_INEXACT = RINT_FFFF,RINT_FFFF  // Dummy to set inexact
-     br.ret.sptk    b0
-;;
+      getf.exp         rSignexp  = fNormX     // Get signexp, recompute if unorm
+      fcmp.eq.s0       p7,p0 = f8, f0         // Dummy op to set denormal flag
+      br.cond.sptk     RINT_COMMON            // Return to main path
 }
+;;
 
-L(RINT_NOT_ROUND_NEAREST):
-// Set rounding mode of s2 to that of s0
+RINT_NOT_ROUND_NEAREST:
+// Here if not round to nearest, and |x| < 2^63
+// Set rounding mode of s2 to that of s0, and repeat the conversion using s2
 { .mfi
-      mov rint_GR_rcs0 = r0       // Clear so we don't come back here
-      fsetc.s2     0x7f, 0x40
-	nop.i 999
-;;
+      nop.m            0
+      fsetc.s2         0x7f, 0x40
+      nop.i            0
 }
+;;
 
 { .mfi
-	nop.m 999
-      fcvt.fx.s2     RINT_INT_f8  = f8
-	nop.i 999
+      nop.m            0
+      fcvt.fx.s2       fXInt  = fNormX        // Convert to int in significand
+      nop.i            0
+}
 ;;
+
+{ .mfi
+      nop.m            0
+      fcvt.xf          f8 = fXInt             // Expected result
+      nop.i            0
 }
+;;
 
+// Be sure sign of result = sign of input.  Fixes cases where result is 0.
 { .mfb
-	nop.m 999
-      fcvt.xf         RINT_FLOAT_INT_f8   = RINT_INT_f8
-      br.cond.sptk  L(RINT_COMMON)
-;;
+      nop.m            0
+      fmerge.s         f8 = fNormX, f8
+      br.ret.sptk      b0                     // Exit main path
 }
+;;
 
-
-.endp rintl
-ASM_SIZE_DIRECTIVE(rintl)
-#ifdef _LIBC
-ASM_SIZE_DIRECTIVE(__rintl)
-#endif
+GLOBAL_IEEE754_END(rintl)
diff --git a/sysdeps/ia64/fpu/s_round.S b/sysdeps/ia64/fpu/s_round.S
index b08ede1740..04033b4aa2 100644
--- a/sysdeps/ia64/fpu/s_round.S
+++ b/sysdeps/ia64/fpu/s_round.S
@@ -1,11 +1,10 @@
 .file "round.s"
 
-// Copyright (C) 2000, 2001, Intel Corporation
+
+// Copyright (c) 2000 - 2003, Intel Corporation
 // All rights reserved.
-// 
-// Contributed 10/25/2000 by John Harrison, Cristina Iordache, Ted Kubaska,
-// Bob Norin, Tom Rowan, Shane Story, and Ping Tak Peter Tang of the
-// Computational Software Lab, Intel Corporation.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
 //
 // Redistribution and use in source and binary forms, with or without
 // modification, are permitted provided that the following conditions are
@@ -21,229 +20,202 @@
 // * The name of Intel Corporation may not be used to endorse or promote
 // products derived from this software without specific prior written
 // permission.
-//
-// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
-// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
-// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS 
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
 // CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
-// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, 
-// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 
-// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY 
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
 // OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
-// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 
-// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 
-// 
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+//
 // Intel Corporation is the author of this code, and requests that all
-// problem reports or change requests be submitted to it directly at 
-// http://developer.intel.com/opensource.
+// problem reports or change requests be submitted to it directly at
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
 //
 // History
 //==============================================================
-// 10/25/2000: Created
+// 10/25/00 Initial version
+// 06/14/01 Changed cmp to an equivalent form
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 01/20/03 Improved performance and reduced code size
+// 04/18/03 Eliminate possible WAW dependency warning
 //==============================================================
-//
+
 // API
 //==============================================================
 // double round(double x)
-//
+//==============================================================
 
-#include "libm_support.h"
+// general input registers:
+// r14 - r19
 
-// general input registers:  
-//
-round_GR_half      = r14
-round_GR_big       = r15
-round_GR_expmask   = r16
-round_GR_signexp   = r17
-round_GR_exp       = r18
-round_GR_expdiff   = r19
-
-// predicate registers used: 
-// p6 - p10
+rSignexp   = r14
+rExp       = r15
+rExpMask   = r16
+rBigexp    = r17
+rExpHalf   = r18
+rExpMHalf  = r19
+
+// floating-point registers:
+// f8 - f13
 
-// floating-point registers used: 
+fXtruncInt = f9
+fNormX     = f10
+fHalf      = f11
+fMHalf     = f12
+fRem       = f13
 
-ROUND_NORM_f8        = f9                        
-ROUND_TRUNC_f8       = f10
-ROUND_RINT_f8        = f11
-ROUND_FLOAT_TRUNC_f8 = f12
-ROUND_FLOAT_RINT_f8  = f13
-ROUND_REMAINDER      = f14
-ROUND_HALF           = f15
+// predicate registers used:
+// p6 - p10
 
 // Overview of operation
 //==============================================================
-
 // double round(double x)
-// Return an integer value (represented as a double) that is x 
-// rounded to nearest integer, halfway cases rounded away from 
-// zero. 
+// Return an integer value (represented as a double) that is x
+// rounded to nearest integer, halfway cases rounded away from
+// zero.
 //  if x>0   result = trunc(x+0.5)
 //  if x<0   result = trunc(x-0.5)
-// *******************************************************************************
-
-// Set denormal flag for denormal input and
-// and take denormal fault if necessary.
+//
+//==============================================================
 
-// If x is NAN, ZERO, INFINITY, or >= 2^52 then return
+// double_extended
+// if the exponent is > 1003e => 3F(true) = 63(decimal)
+// we have a significand of 64 bits 1.63-bits.
+// If we multiply by 2^63, we no longer have a fractional part
+// So input is an integer value already.
 
-// qnan snan inf norm     unorm 0 -+
-// 1    1    1   0        0     1 11     0xe7
+// double
+// if the exponent is >= 10033 => 34(true) = 52(decimal)
+// 34 + 3ff = 433
+// we have a significand of 53 bits 1.52-bits. (implicit 1)
+// If we multiply by 2^52, we no longer have a fractional part
+// So input is an integer value already.
 
+// single
+// if the exponent is > 10016 => 17(true) = 23(decimal)
+// we have a significand of 24 bits 1.23-bits. (implicit 1)
+// If we multiply by 2^23, we no longer have a fractional part
+// So input is an integer value already.
 
-.align 32
-.global round#
 
 .section .text
-.proc  round#
-.align 32
-
+GLOBAL_LIBM_ENTRY(round)
 
-round: 
-	
-// Get exponent for +0.5
-// Truncate x to integer
 { .mfi
-      addl           round_GR_half  = 0x0fffe, r0
-      fcvt.fx.trunc.s1     ROUND_TRUNC_f8 = f8
-      nop.i 999
-}
-	
-// Get signexp of x
-// Normalize input
-// Form exponent mask
-{ .mfi
-      getf.exp  round_GR_signexp = f8
-      fnorm     ROUND_NORM_f8 = f8                        
-      addl      round_GR_expmask  = 0x1ffff, r0 ;;
+      getf.exp         rSignexp  = f8        // Get signexp, recompute if unorm
+      fcvt.fx.trunc.s1 fXtruncInt  = f8      // Convert to int in significand
+      addl             rBigexp = 0x10033, r0 // Set exponent at which is integer
 }
-
-// Form +0.5
-// Round x to integer
 { .mfi
-      setf.exp    ROUND_HALF  = round_GR_half                      
-      fcvt.fx.s1  ROUND_RINT_f8 = f8
-      nop.i 999 ;;
+      mov              rExpHalf    = 0x0FFFE // Form sign and exponent of 0.5
+      fnorm.s1         fNormX  = f8          // Normalize input
+      mov              rExpMask    = 0x1FFFF // Form exponent mask
 }
-// Get exp of x
-// Test for NAN, INF, ZERO
-// Get exponent at which input has no fractional part
-{ .mfi
-      and         round_GR_exp = round_GR_expmask, round_GR_signexp
-      fclass.m    p8,p9 = f8,0xe7
-      addl        round_GR_big  = 0x10033, r0 ;;
-}
-
-// Get exp-bigexp
-// If exp is so big there is no fractional part, then turn on p8, off p9
-{ .mmi
-      sub    round_GR_expdiff = round_GR_exp, round_GR_big ;;
-#ifdef _LIBC
-(p9)  cmp.lt.or.andcm  p8,p9 = r0, round_GR_expdiff
-#else
-(p9)  cmp.ge.or.andcm  p8,p9 = round_GR_expdiff, r0
-#endif
-      nop.i 999 ;;
-}
-     
-// Set p6 if x<0, else set p7
-{ .mfi
-      nop.m 999
-(p9)  fcmp.lt.unc  p6,p7 = f8,f0
-      nop.i 999
+;;
+
+{ .mmf
+      setf.exp         fHalf = rExpHalf      // Form 0.5
+      mov              rExpMHalf   = 0x2FFFE // Form sign and exponent of -0.5
+      fclass.m         p7,p0 = f8, 0x0b      // Test x unorm
 }
-	
-// If NAN, INF, ZERO, or no fractional part, result is just normalized input
-{ .mfi
-      nop.m 999
-(p8)  fnorm.d.s0  f8 = f8
-      nop.i 999 ;;
+;;
+
+{ .mfb
+      setf.exp         fMHalf = rExpMHalf    // Form -0.5
+      fclass.m         p6,p0 = f8, 0x1e3     // Test x natval, nan, inf
+(p7)  br.cond.spnt     ROUND_UNORM           // Branch if x unorm
 }
+;;
 
-// Float the truncated integer
+ROUND_COMMON:
+// Return here from ROUND_UNORM
 { .mfi
-      nop.m 999
-(p9)  fcvt.xf     ROUND_FLOAT_TRUNC_f8 = ROUND_TRUNC_f8
-      nop.i 999 ;;
+      nop.m            0
+      fcmp.lt.s1       p8,p9 = f8, f0        // Test if x < 0
+      nop.i            0
+}
+{ .mfb
+      and              rExp = rSignexp, rExpMask // Get biased exponent
+(p6)  fma.d.s0         f8 = f8, f1, f0       // Result if x natval, nan, inf
+(p6)  br.ret.spnt      b0                    // Exit if x natval, nan, inf
 }
+;;
 
-// Float the rounded integer to get preliminary result
 { .mfi
-      nop.m 999
-(p9)  fcvt.xf     ROUND_FLOAT_RINT_f8 = ROUND_RINT_f8
-      nop.i 999 ;;
-}
-
-// If x<0 and the difference of the truncated input minus the input is 0.5
-//    then result = truncated input - 1.0
-// Else if x>0 and the difference of the input minus truncated input is 0.5
-//    then result = truncated input + 1.0
-// Else 
-//    result = rounded input
-// Endif
-{ .mfi
-      nop.m 999
-(p6)  fsub.s1   ROUND_REMAINDER = ROUND_FLOAT_TRUNC_f8, ROUND_NORM_f8 
-      nop.i 999
+      cmp.lt           p6,p0 = rExp, rExpHalf // Is |x| < 0.5?
+      fcvt.xf          f8 = fXtruncInt        // Pre-Result if 0.5 <= |x| < 2^52
+      cmp.ge           p7,p0 = rExp, rBigexp  // Is |x| >= 2^52?
 }
-	
 { .mfi
-      nop.m 999
-(p7)  fsub.s1   ROUND_REMAINDER = ROUND_NORM_f8, ROUND_FLOAT_TRUNC_f8
-      nop.i 999 ;;
+      cmp.lt           p10,p0 = rExp, rExpHalf // Is |x| < 0.5? 
+      nop.f            0
+      nop.i            0
 }
+;;
 
-// Assume preliminary result is rounded integer
+// We must correct result if |x| < 0.5, or |x| >= 2^52
+.pred.rel "mutex",p6,p7
 { .mfi
-      nop.m 999
-(p9)  fnorm.d.s0  f8 = ROUND_FLOAT_RINT_f8
-      nop.i 999 
+      nop.m            0
+(p6)  fmerge.s         f8 = fNormX, f0        // If |x| < 0.5, result sgn(x)*0
+      nop.i            0
 }
-
-// If x<0, test if result=0
-{ .mfi
-      nop.m 999
-(p6)  fcmp.eq.unc  p10,p0 = ROUND_FLOAT_RINT_f8,f0
-      nop.i 999 ;;
+{ .mfb
+(p7)  cmp.eq           p10,p0 = r0, r0        // Also turn on p10 if |x| >= 2^52
+(p7)  fma.d.s0         f8 = fNormX, f1, f0    // If |x| >= 2^52, result x
+(p10) br.ret.spnt      b0                     // Exit |x| < 0.5 or |x| >= 2^52
 }
+;;
 
-// If x<0 and result=0, set result=-0
+// Here if 0.5 <= |x| < 2^52
 { .mfi
-      nop.m 999
-(p10) fmerge.ns  f8 = f1,f8
-      nop.i 999
+      nop.m            0
+      fms.s1           fRem = fNormX, f1, f8  // Get remainder = x - trunc(x)
+      nop.i            0
 }
-	
-// If x<0, test if remainder=0.5
+;;
+
 { .mfi
-      nop.m 999
-(p6)  fcmp.eq.unc  p6,p0 = ROUND_REMAINDER, ROUND_HALF
-      nop.i 999 ;; 
+      nop.m            0
+(p8)  fcmp.le.s1       p8,p0 = fRem, fMHalf
+      nop.i            0
 }
-	
-// If x>0, test if remainder=0.5
 { .mfi
-      nop.m 999
-(p7)  fcmp.eq.unc  p7,p0 = ROUND_REMAINDER, ROUND_HALF
-      nop.i 999 ;;
+      nop.m            0
+(p9)  fcmp.ge.s1       p9,p0 = fRem, fHalf
+      nop.i            0
 }
+;;
 
-// If x<0 and remainder=0.5, result=truncated-1.0
-// If x>0 and remainder=0.5, result=truncated+1.0
-// Exit
-.pred.rel "mutex",p6,p7
+// If x < 0 and remainder <= -0.5, then subtract 1 from result
+// If x > 0 and remainder >= +0.5, then add 1 to result
+.pred.rel "mutex",p8,p9
 { .mfi
-      nop.m 999
-(p6)  fsub.d.s0  f8 = ROUND_FLOAT_TRUNC_f8,f1
-      nop.i 999 
+      nop.m            0
+(p8)  fms.d.s0         f8 = f8, f1, f1
+      nop.i            0
 }
-	
 { .mfb
-      nop.m 999
-(p7)  fadd.d.s0  f8 = ROUND_FLOAT_TRUNC_f8,f1
-      br.ret.sptk  b0 ;;
+      nop.m            0
+(p9)  fma.d.s0         f8 = f8, f1, f1
+      br.ret.sptk      b0
+}
+;;
+
+
+ROUND_UNORM:
+// Here if x unorm
+{ .mfb
+      getf.exp         rSignexp  = fNormX     // Get signexp, recompute if unorm
+      fcmp.eq.s0       p7,p0 = f8, f0         // Dummy op to set denormal flag
+      br.cond.sptk     ROUND_COMMON           // Return to main path
 }
+;;
 
-.endp round
-ASM_SIZE_DIRECTIVE(round)
+GLOBAL_LIBM_END(round)
diff --git a/sysdeps/ia64/fpu/s_roundf.S b/sysdeps/ia64/fpu/s_roundf.S
index 42ee60b218..1e8dc78777 100644
--- a/sysdeps/ia64/fpu/s_roundf.S
+++ b/sysdeps/ia64/fpu/s_roundf.S
@@ -1,11 +1,10 @@
 .file "roundf.s"
 
-// Copyright (C) 2000, 2001, Intel Corporation
+
+// Copyright (c) 2000 - 2003, Intel Corporation
 // All rights reserved.
-// 
-// Contributed 10/25/2000 by John Harrison, Cristina Iordache, Ted Kubaska,
-// Bob Norin, Tom Rowan, Shane Story, and Ping Tak Peter Tang of the
-// Computational Software Lab, Intel Corporation.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
 //
 // Redistribution and use in source and binary forms, with or without
 // modification, are permitted provided that the following conditions are
@@ -21,229 +20,202 @@
 // * The name of Intel Corporation may not be used to endorse or promote
 // products derived from this software without specific prior written
 // permission.
-//
-// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
-// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
-// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS 
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
 // CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
-// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, 
-// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 
-// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY 
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
 // OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
-// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 
-// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 
-// 
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+//
 // Intel Corporation is the author of this code, and requests that all
-// problem reports or change requests be submitted to it directly at 
-// http://developer.intel.com/opensource.
+// problem reports or change requests be submitted to it directly at
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
 //
 // History
 //==============================================================
-// 10/25/2000: Created
+// 10/25/00 Initial version
+// 06/14/01 Changed cmp to an equivalent form
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 01/20/03 Improved performance and reduced code size
+// 04/18/03 Eliminate possible WAW dependency warning
 //==============================================================
-//
+
 // API
 //==============================================================
 // float roundf(float x)
-//
+//==============================================================
 
-#include "libm_support.h"
+// general input registers:
+// r14 - r19
 
-// general input registers:  
-//
-roundf_GR_half      = r14
-roundf_GR_big       = r15
-roundf_GR_expmask   = r16
-roundf_GR_signexp   = r17
-roundf_GR_exp       = r18
-roundf_GR_expdiff   = r19
-
-// predicate registers used: 
-// p6 - p10
+rSignexp   = r14
+rExp       = r15
+rExpMask   = r16
+rBigexp    = r17
+rExpHalf   = r18
+rExpMHalf  = r19
+
+// floating-point registers:
+// f8 - f13
 
-// floating-point registers used: 
+fXtruncInt = f9
+fNormX     = f10
+fHalf      = f11
+fMHalf     = f12
+fRem       = f13
 
-ROUNDF_NORM_f8        = f9                        
-ROUNDF_TRUNC_f8       = f10
-ROUNDF_RINT_f8        = f11
-ROUNDF_FLOAT_TRUNC_f8 = f12
-ROUNDF_FLOAT_RINT_f8  = f13
-ROUNDF_REMAINDER      = f14
-ROUNDF_HALF           = f15
+// predicate registers used:
+// p6 - p10
 
 // Overview of operation
 //==============================================================
-
 // float roundf(float x)
-// Return an integer value (represented as a float) that is x 
-// rounded to nearest integer, halfway cases rounded away from 
-// zero. 
+// Return an integer value (represented as a float) that is x
+// rounded to nearest integer, halfway cases rounded away from
+// zero.
 //  if x>0   result = trunc(x+0.5)
 //  if x<0   result = trunc(x-0.5)
-// *******************************************************************************
-
-// Set denormal flag for denormal input and
-// and take denormal fault if necessary.
+//
+//==============================================================
 
-// If x is NAN, ZERO, INFINITY, or >= 2^23 then return
+// double_extended
+// if the exponent is > 1003e => 3F(true) = 63(decimal)
+// we have a significand of 64 bits 1.63-bits.
+// If we multiply by 2^63, we no longer have a fractional part
+// So input is an integer value already.
 
-// qnan snan inf norm     unorm 0 -+
-// 1    1    1   0        0     1 11     0xe7
+// double
+// if the exponent is >= 10033 => 34(true) = 52(decimal)
+// 34 + 3ff = 433
+// we have a significand of 53 bits 1.52-bits. (implicit 1)
+// If we multiply by 2^52, we no longer have a fractional part
+// So input is an integer value already.
 
+// single
+// if the exponent is > 10016 => 17(true) = 23(decimal)
+// we have a significand of 24 bits 1.23-bits. (implicit 1)
+// If we multiply by 2^23, we no longer have a fractional part
+// So input is an integer value already.
 
-.align 32
-.global roundf#
 
 .section .text
-.proc  roundf#
-.align 32
-
+GLOBAL_LIBM_ENTRY(roundf)
 
-roundf: 
-	
-// Get exponent for +0.5
-// Truncate x to integer
 { .mfi
-      addl           roundf_GR_half  = 0x0fffe, r0
-      fcvt.fx.trunc.s1     ROUNDF_TRUNC_f8 = f8
-      nop.i 999
-}
-	
-// Get signexp of x
-// Normalize input
-// Form exponent mask
-{ .mfi
-      getf.exp  roundf_GR_signexp = f8
-      fnorm     ROUNDF_NORM_f8 = f8                        
-      addl      roundf_GR_expmask  = 0x1ffff, r0 ;;
+      getf.exp         rSignexp  = f8        // Get signexp, recompute if unorm
+      fcvt.fx.trunc.s1 fXtruncInt  = f8      // Convert to int in significand
+      addl             rBigexp = 0x10016, r0 // Set exponent at which is integer
 }
-
-// Form +0.5
-// Round x to integer
 { .mfi
-      setf.exp    ROUNDF_HALF  = roundf_GR_half                      
-      fcvt.fx.s1  ROUNDF_RINT_f8 = f8
-      nop.i 999 ;;
+      mov              rExpHalf    = 0x0FFFE // Form sign and exponent of 0.5
+      fnorm.s1         fNormX  = f8          // Normalize input
+      mov              rExpMask    = 0x1FFFF // Form exponent mask
 }
-// Get exp of x
-// Test for NAN, INF, ZERO
-// Get exponent at which input has no fractional part
-{ .mfi
-      and         roundf_GR_exp = roundf_GR_expmask, roundf_GR_signexp
-      fclass.m    p8,p9 = f8,0xe7
-      addl        roundf_GR_big  = 0x10016, r0 ;;
-}
-
-// Get exp-bigexp
-// If exp is so big there is no fractional part, then turn on p8, off p9
-{ .mmi
-      sub    roundf_GR_expdiff = roundf_GR_exp, roundf_GR_big ;;
-#ifdef _LIBC
-(p9)  cmp.lt.or.andcm  p8,p9 = r0, roundf_GR_expdiff
-#else
-(p9)  cmp.ge.or.andcm  p8,p9 = roundf_GR_expdiff, r0
-#endif
-      nop.i 999 ;;
-}
-     
-// Set p6 if x<0, else set p7
-{ .mfi
-      nop.m 999
-(p9)  fcmp.lt.unc  p6,p7 = f8,f0
-      nop.i 999
+;;
+
+{ .mmf
+      setf.exp         fHalf = rExpHalf      // Form 0.5
+      mov              rExpMHalf   = 0x2FFFE // Form sign and exponent of -0.5
+      fclass.m         p7,p0 = f8, 0x0b      // Test x unorm
 }
-	
-// If NAN, INF, ZERO, or no fractional part, result is just normalized input
-{ .mfi
-      nop.m 999
-(p8)  fnorm.s.s0  f8 = f8
-      nop.i 999 ;;
+;;
+
+{ .mfb
+      setf.exp         fMHalf = rExpMHalf    // Form -0.5
+      fclass.m         p6,p0 = f8, 0x1e3     // Test x natval, nan, inf
+(p7)  br.cond.spnt     ROUND_UNORM           // Branch if x unorm
 }
+;;
 
-// Float the truncated integer
+ROUND_COMMON:
+// Return here from ROUND_UNORM
 { .mfi
-      nop.m 999
-(p9)  fcvt.xf     ROUNDF_FLOAT_TRUNC_f8 = ROUNDF_TRUNC_f8
-      nop.i 999 ;;
+      nop.m            0
+      fcmp.lt.s1       p8,p9 = f8, f0        // Test if x < 0
+      nop.i            0
+}
+{ .mfb
+      and              rExp = rSignexp, rExpMask // Get biased exponent
+(p6)  fma.s.s0         f8 = f8, f1, f0       // Result if x natval, nan, inf
+(p6)  br.ret.spnt      b0                    // Exit if x natval, nan, inf
 }
+;;
 
-// Float the rounded integer to get preliminary result
 { .mfi
-      nop.m 999
-(p9)  fcvt.xf     ROUNDF_FLOAT_RINT_f8 = ROUNDF_RINT_f8
-      nop.i 999 ;;
-}
-
-// If x<0 and the difference of the truncated input minus the input is 0.5
-//    then result = truncated input - 1.0
-// Else if x>0 and the difference of the input minus truncated input is 0.5
-//    then result = truncated input + 1.0
-// Else 
-//    result = rounded input
-// Endif
-{ .mfi
-      nop.m 999
-(p6)  fsub.s1   ROUNDF_REMAINDER = ROUNDF_FLOAT_TRUNC_f8, ROUNDF_NORM_f8 
-      nop.i 999
+      cmp.lt           p6,p0 = rExp, rExpHalf // Is |x| < 0.5?
+      fcvt.xf          f8 = fXtruncInt        // Pre-Result if 0.5 <= |x| < 2^23
+      cmp.ge           p7,p0 = rExp, rBigexp  // Is |x| >= 2^23?
 }
-	
 { .mfi
-      nop.m 999
-(p7)  fsub.s1   ROUNDF_REMAINDER = ROUNDF_NORM_f8, ROUNDF_FLOAT_TRUNC_f8
-      nop.i 999 ;;
+      cmp.lt           p10,p0 = rExp, rExpHalf // Is |x| < 0.5? 
+      nop.f            0
+      nop.i            0
 }
+;;
 
-// Assume preliminary result is rounded integer
+// We must correct result if |x| < 0.5, or |x| >= 2^23
+.pred.rel "mutex",p6,p7
 { .mfi
-      nop.m 999
-(p9)  fnorm.s.s0  f8 = ROUNDF_FLOAT_RINT_f8
-      nop.i 999
+      nop.m            0
+(p6)  fmerge.s         f8 = fNormX, f0        // If |x| < 0.5, result sgn(x)*0
+      nop.i            0
 }
-
-// If x<0, test if result=0
-{ .mfi
-      nop.m 999
-(p6)  fcmp.eq.unc  p10,p0 = ROUNDF_FLOAT_RINT_f8,f0
-      nop.i 999 ;;
+{ .mfb
+(p7)  cmp.eq           p10,p0 = r0, r0        // Also turn on p10 if |x| >= 2^23
+(p7)  fma.s.s0         f8 = fNormX, f1, f0    // If |x| >= 2^23, result x
+(p10) br.ret.spnt      b0                     // Exit |x| < 0.5 or |x| >= 2^23
 }
+;;
 
-// If x<0 and result=0, set result=-0
+// Here if 0.5 <= |x| < 2^23
 { .mfi
-      nop.m 999
-(p10) fmerge.ns  f8 = f1,f8
-      nop.i 999
+      nop.m            0
+      fms.s1           fRem = fNormX, f1, f8  // Get remainder = x - trunc(x)
+      nop.i            0
 }
-	
-// If x<0, test if remainder=0.5
+;;
+
 { .mfi
-      nop.m 999
-(p6)  fcmp.eq.unc  p6,p0 = ROUNDF_REMAINDER, ROUNDF_HALF
-      nop.i 999 ;;
+      nop.m            0
+(p8)  fcmp.le.s1       p8,p0 = fRem, fMHalf
+      nop.i            0
 }
-	
-// If x>0, test if remainder=0.5
 { .mfi
-      nop.m 999
-(p7)  fcmp.eq.unc  p7,p0 = ROUNDF_REMAINDER, ROUNDF_HALF
-      nop.i 999 ;;
+      nop.m            0
+(p9)  fcmp.ge.s1       p9,p0 = fRem, fHalf
+      nop.i            0
 }
+;;
 
-// If x<0 and remainder=0.5, result=truncated-1.0
-// If x>0 and remainder=0.5, result=truncated+1.0
-// Exit
-.pred.rel "mutex",p6,p7
+// If x < 0 and remainder <= -0.5, then subtract 1 from result
+// If x > 0 and remainder >= +0.5, then add 1 to result
+.pred.rel "mutex",p8,p9
 { .mfi
-      nop.m 999
-(p6)  fsub.s.s0  f8 = ROUNDF_FLOAT_TRUNC_f8,f1
-      nop.i 999 
+      nop.m            0
+(p8)  fms.s.s0         f8 = f8, f1, f1
+      nop.i            0
 }
-	
 { .mfb
-      nop.m 999
-(p7)  fadd.s.s0  f8 = ROUNDF_FLOAT_TRUNC_f8,f1
-      br.ret.sptk  b0 ;;
+      nop.m            0
+(p9)  fma.s.s0         f8 = f8, f1, f1
+      br.ret.sptk      b0
+}
+;;
+
+
+ROUND_UNORM:
+// Here if x unorm
+{ .mfb
+      getf.exp         rSignexp  = fNormX     // Get signexp, recompute if unorm
+      fcmp.eq.s0       p7,p0 = f8, f0         // Dummy op to set denormal flag
+      br.cond.sptk     ROUND_COMMON           // Return to main path
 }
+;;
 
-.endp roundf
-ASM_SIZE_DIRECTIVE(roundf)
+GLOBAL_LIBM_END(roundf)
diff --git a/sysdeps/ia64/fpu/s_roundl.S b/sysdeps/ia64/fpu/s_roundl.S
index b30f590917..79dff00c06 100644
--- a/sysdeps/ia64/fpu/s_roundl.S
+++ b/sysdeps/ia64/fpu/s_roundl.S
@@ -1,11 +1,10 @@
 .file "roundl.s"
 
-// Copyright (C) 2000, 2001, Intel Corporation
+
+// Copyright (c) 2000 - 2003, Intel Corporation
 // All rights reserved.
-// 
-// Contributed 10/25/2000 by John Harrison, Cristina Iordache, Ted Kubaska,
-// Bob Norin, Tom Rowan, Shane Story, and Ping Tak Peter Tang of the
-// Computational Software Lab, Intel Corporation.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
 //
 // Redistribution and use in source and binary forms, with or without
 // modification, are permitted provided that the following conditions are
@@ -21,229 +20,202 @@
 // * The name of Intel Corporation may not be used to endorse or promote
 // products derived from this software without specific prior written
 // permission.
-//
-// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
-// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
-// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS 
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
 // CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
-// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, 
-// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 
-// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY 
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
 // OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
-// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 
-// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 
-// 
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+//
 // Intel Corporation is the author of this code, and requests that all
-// problem reports or change requests be submitted to it directly at 
-// http://developer.intel.com/opensource.
+// problem reports or change requests be submitted to it directly at
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
 //
 // History
 //==============================================================
-// 10/25/2000: Created
+// 10/25/00 Initial version
+// 06/14/01 Changed cmp to an equivalent form
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 01/20/03 Improved performance and reduced code size
+// 04/18/03 Eliminate possible WAW dependency warning
 //==============================================================
-//
+
 // API
 //==============================================================
 // long double roundl(long double x)
-//
+//==============================================================
 
-#include "libm_support.h"
+// general input registers:
+// r14 - r19
 
-// general input registers:  
-//
-roundl_GR_half      = r14
-roundl_GR_big       = r15
-roundl_GR_expmask   = r16
-roundl_GR_signexp   = r17
-roundl_GR_exp       = r18
-roundl_GR_expdiff   = r19
-
-// predicate registers used: 
-// p6 - p10
+rSignexp   = r14
+rExp       = r15
+rExpMask   = r16
+rBigexp    = r17
+rExpHalf   = r18
+rExpMHalf  = r19
+
+// floating-point registers:
+// f8 - f13
 
-// floating-point registers used: 
+fXtruncInt = f9
+fNormX     = f10
+fHalf      = f11
+fMHalf     = f12
+fRem       = f13
 
-ROUNDL_NORM_f8        = f9                        
-ROUNDL_TRUNC_f8       = f10
-ROUNDL_RINT_f8        = f11
-ROUNDL_FLOAT_TRUNC_f8 = f12
-ROUNDL_FLOAT_RINT_f8  = f13
-ROUNDL_REMAINDER      = f14
-ROUNDL_HALF           = f15
+// predicate registers used:
+// p6 - p10
 
 // Overview of operation
 //==============================================================
-
 // long double roundl(long double x)
-// Return an integer value (represented as a long double) that is x 
-// rounded to nearest integer, halfway cases rounded away from 
-// zero. 
+// Return an integer value (represented as a long double) that is x
+// rounded to nearest integer, halfway cases rounded away from
+// zero.
 //  if x>0   result = trunc(x+0.5)
 //  if x<0   result = trunc(x-0.5)
-// *******************************************************************************
-
-// Set denormal flag for denormal input and
-// and take denormal fault if necessary.
+//
+//==============================================================
 
-// If x is NAN, ZERO, INFINITY, or >= 2^63 then return
+// double_extended
+// if the exponent is > 1003e => 3F(true) = 63(decimal)
+// we have a significand of 64 bits 1.63-bits.
+// If we multiply by 2^63, we no longer have a fractional part
+// So input is an integer value already.
 
-// qnan snan inf norm     unorm 0 -+
-// 1    1    1   0        0     1 11     0xe7
+// double
+// if the exponent is >= 10033 => 34(true) = 52(decimal)
+// 34 + 3ff = 433
+// we have a significand of 53 bits 1.52-bits. (implicit 1)
+// If we multiply by 2^52, we no longer have a fractional part
+// So input is an integer value already.
 
+// single
+// if the exponent is > 10016 => 17(true) = 23(decimal)
+// we have a significand of 24 bits 1.23-bits. (implicit 1)
+// If we multiply by 2^23, we no longer have a fractional part
+// So input is an integer value already.
 
-.align 32
-.global roundl#
 
 .section .text
-.proc  roundl#
-.align 32
-
+GLOBAL_LIBM_ENTRY(roundl)
 
-roundl: 
-	
-// Get exponent for +0.5
-// Truncate x to integer
 { .mfi
-      addl           roundl_GR_half  = 0x0fffe, r0
-      fcvt.fx.trunc.s1     ROUNDL_TRUNC_f8 = f8
-      nop.i 999
-}
-	
-// Get signexp of x
-// Normalize input
-// Form exponent mask
-{ .mfi
-      getf.exp  roundl_GR_signexp = f8
-      fnorm     ROUNDL_NORM_f8 = f8                        
-      addl      roundl_GR_expmask  = 0x1ffff, r0 ;;
+      getf.exp         rSignexp  = f8        // Get signexp, recompute if unorm
+      fcvt.fx.trunc.s1 fXtruncInt  = f8      // Convert to int in significand
+      addl             rBigexp = 0x1003e, r0 // Set exponent at which is integer
 }
-
-// Form +0.5
-// Round x to integer
 { .mfi
-      setf.exp    ROUNDL_HALF  = roundl_GR_half                      
-      fcvt.fx.s1  ROUNDL_RINT_f8 = f8
-      nop.i 999 ;;
+      mov              rExpHalf    = 0x0FFFE // Form sign and exponent of 0.5
+      fnorm.s1         fNormX  = f8          // Normalize input
+      mov              rExpMask    = 0x1FFFF // Form exponent mask
 }
-// Get exp of x
-// Test for NAN, INF, ZERO
-// Get exponent at which input has no fractional part
-{ .mfi
-      and         roundl_GR_exp = roundl_GR_expmask, roundl_GR_signexp
-      fclass.m    p8,p9 = f8,0xe7
-      addl        roundl_GR_big  = 0x1003e, r0 ;;
-}
-
-// Get exp-bigexp
-// If exp is so big there is no fractional part, then turn on p8, off p9
-{ .mmi
-      sub    roundl_GR_expdiff = roundl_GR_exp, roundl_GR_big ;;
-#ifdef _LIBC
-(p9)  cmp.lt.or.andcm  p8,p9 = r0, roundl_GR_expdiff
-#else
-(p9)  cmp.ge.or.andcm  p8,p9 = roundl_GR_expdiff, r0
-#endif
-      nop.i 999 ;;
-}
-     
-// Set p6 if x<0, else set p7
-{ .mfi
-      nop.m 999
-(p9)  fcmp.lt.unc  p6,p7 = f8,f0
-      nop.i 999
+;;
+
+{ .mmf
+      setf.exp         fHalf = rExpHalf      // Form 0.5
+      mov              rExpMHalf   = 0x2FFFE // Form sign and exponent of -0.5
+      fclass.m         p7,p0 = f8, 0x0b      // Test x unorm
 }
-	
-// If NAN, INF, ZERO, or no fractional part, result is just normalized input
-{ .mfi
-      nop.m 999
-(p8)  fnorm.s0  f8 = f8
-      nop.i 999 ;;
+;;
+
+{ .mfb
+      setf.exp         fMHalf = rExpMHalf    // Form -0.5
+      fclass.m         p6,p0 = f8, 0x1e3     // Test x natval, nan, inf
+(p7)  br.cond.spnt     ROUND_UNORM           // Branch if x unorm
 }
+;;
 
-// Float the truncated integer
+ROUND_COMMON:
+// Return here from ROUND_UNORM
 { .mfi
-      nop.m 999
-(p9)  fcvt.xf     ROUNDL_FLOAT_TRUNC_f8 = ROUNDL_TRUNC_f8
-      nop.i 999 ;;
+      nop.m            0
+      fcmp.lt.s1       p8,p9 = f8, f0        // Test if x < 0
+      nop.i            0
+}
+{ .mfb
+      and              rExp = rSignexp, rExpMask // Get biased exponent
+(p6)  fma.s0           f8 = f8, f1, f0       // Result if x natval, nan, inf
+(p6)  br.ret.spnt      b0                    // Exit if x natval, nan, inf
 }
+;;
 
-// Float the rounded integer to get preliminary result
 { .mfi
-      nop.m 999
-(p9)  fcvt.xf     ROUNDL_FLOAT_RINT_f8 = ROUNDL_RINT_f8
-      nop.i 999 ;;
-}
-
-// If x<0 and the difference of the truncated input minus the input is 0.5
-//    then result = truncated input - 1.0
-// Else if x>0 and the difference of the input minus truncated input is 0.5
-//    then result = truncated input + 1.0
-// Else 
-//    result = rounded input
-// Endif
-{ .mfi
-      nop.m 999
-(p6)  fsub.s1   ROUNDL_REMAINDER = ROUNDL_FLOAT_TRUNC_f8, ROUNDL_NORM_f8 
-      nop.i 999
+      cmp.lt           p6,p0 = rExp, rExpHalf // Is |x| < 0.5?
+      fcvt.xf          f8 = fXtruncInt        // Pre-Result if 0.5 <= |x| < 2^63
+      cmp.ge           p7,p0 = rExp, rBigexp  // Is |x| >= 2^63?
 }
-	
 { .mfi
-      nop.m 999
-(p7)  fsub.s1   ROUNDL_REMAINDER = ROUNDL_NORM_f8, ROUNDL_FLOAT_TRUNC_f8
-      nop.i 999 ;;
+      cmp.lt           p10,p0 = rExp, rExpHalf // Is |x| < 0.5? 
+      nop.f            0
+      nop.i            0
 }
+;;
 
-// Assume preliminary result is rounded integer
+// We must correct result if |x| < 0.5, or |x| >= 2^63
+.pred.rel "mutex",p6,p7
 { .mfi
-      nop.m 999
-(p9)  fnorm.s0  f8 = ROUNDL_FLOAT_RINT_f8
-      nop.i 999
+      nop.m            0
+(p6)  fmerge.s         f8 = fNormX, f0        // If |x| < 0.5, result sgn(x)*0
+      nop.i            0
 }
-
-// If x<0, test if result=0
-{ .mfi
-      nop.m 999
-(p6)  fcmp.eq.unc  p10,p0 = ROUNDL_FLOAT_RINT_f8,f0
-      nop.i 999 ;;
+{ .mfb
+(p7)  cmp.eq           p10,p0 = r0, r0        // Also turn on p10 if |x| >= 2^63
+(p7)  fma.s0           f8 = fNormX, f1, f0    // If |x| >= 2^63, result x
+(p10) br.ret.spnt      b0                     // Exit |x| < 0.5 or |x| >= 2^63
 }
+;;
 
-// If x<0 and result=0, set result=-0
+// Here if 0.5 <= |x| < 2^63
 { .mfi
-      nop.m 999
-(p10) fmerge.ns  f8 = f1,f8
-      nop.i 999
+      nop.m            0
+      fms.s1           fRem = fNormX, f1, f8  // Get remainder = x - trunc(x)
+      nop.i            0
 }
-	
-// If x<0, test if remainder=0.5
+;;
+
 { .mfi
-      nop.m 999
-(p6)  fcmp.eq.unc  p6,p0 = ROUNDL_REMAINDER, ROUNDL_HALF
-      nop.i 999 ;;
+      nop.m            0
+(p8)  fcmp.le.s1       p8,p0 = fRem, fMHalf
+      nop.i            0
 }
-	
-// If x>0, test if remainder=0.5
 { .mfi
-      nop.m 999
-(p7)  fcmp.eq.unc  p7,p0 = ROUNDL_REMAINDER, ROUNDL_HALF
-      nop.i 999 ;;
+      nop.m            0
+(p9)  fcmp.ge.s1       p9,p0 = fRem, fHalf
+      nop.i            0
 }
+;;
 
-// If x<0 and remainder=0.5, result=truncated-1.0
-// If x>0 and remainder=0.5, result=truncated+1.0
-// Exit
-.pred.rel "mutex",p6,p7
+// If x < 0 and remainder <= -0.5, then subtract 1 from result
+// If x > 0 and remainder >= +0.5, then add 1 to result
+.pred.rel "mutex",p8,p9
 { .mfi
-      nop.m 999
-(p6)  fsub.s0  f8 = ROUNDL_FLOAT_TRUNC_f8,f1
-      nop.i 999 
+      nop.m            0
+(p8)  fms.s0           f8 = f8, f1, f1
+      nop.i            0
 }
-	
 { .mfb
-      nop.m 999
-(p7)  fadd.s0  f8 = ROUNDL_FLOAT_TRUNC_f8,f1
-      br.ret.sptk  b0 ;;
+      nop.m            0
+(p9)  fma.s0           f8 = f8, f1, f1
+      br.ret.sptk      b0
+}
+;;
+
+
+ROUND_UNORM:
+// Here if x unorm
+{ .mfb
+      getf.exp         rSignexp  = fNormX     // Get signexp, recompute if unorm
+      fcmp.eq.s0       p7,p0 = f8, f0         // Dummy op to set denormal flag
+      br.cond.sptk     ROUND_COMMON           // Return to main path
 }
+;;
 
-.endp roundl
-ASM_SIZE_DIRECTIVE(roundl)
+GLOBAL_LIBM_END(roundl)
diff --git a/sysdeps/ia64/fpu/s_scalblnf.c b/sysdeps/ia64/fpu/s_scalblnf.c
new file mode 100644
index 0000000000..97de090738
--- /dev/null
+++ b/sysdeps/ia64/fpu/s_scalblnf.c
@@ -0,0 +1,62 @@
+/* file: scalblnf.c */
+
+
+// Copyright (c) 2000, 2001, Intel Corporation
+// All rights reserved.
+//
+// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story, 
+// and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation.
+//
+// Redistribution and use in source and binary forms, with or without
+// modification, are permitted provided that the following conditions are
+// met:
+//
+// * Redistributions of source code must retain the above copyright
+// notice, this list of conditions and the following disclaimer.
+//
+// * Redistributions in binary form must reproduce the above copyright
+// notice, this list of conditions and the following disclaimer in the
+// documentation and/or other materials provided with the distribution.
+//
+// * The name of Intel Corporation may not be used to endorse or promote
+// products derived from this software without specific prior written
+// permission.
+
+//
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
+// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS 
+// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
+// OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+//
+// Intel Corporation is the author of this code, and requests that all
+// problem reports or change requests be submitted to it directly at
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
+//
+//
+
+#include "libm_support.h"
+
+float __libm_scalblnf(float, long int, int);
+
+
+float scalblnf(float x, long int n)
+{
+
+#ifdef SIZE_LONG_INT_64 
+   return __libm_scalblnf(x,n,1);  
+#else
+
+#ifdef SIZE_LONG_INT_32 
+   return __libm_scalblnf(x,n,0);
+#endif
+
+#endif
+
+}
diff --git a/sysdeps/ia64/fpu/s_scalbn.c b/sysdeps/ia64/fpu/s_scalbn.c
new file mode 100644
index 0000000000..b0bd44a53c
--- /dev/null
+++ b/sysdeps/ia64/fpu/s_scalbn.c
@@ -0,0 +1,62 @@
+/* file: scalbn.c */
+
+
+// Copyright (c) 2000, 2001, Intel Corporation
+// All rights reserved.
+//
+// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story, 
+// and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation.
+//
+// Redistribution and use in source and binary forms, with or without
+// modification, are permitted provided that the following conditions are
+// met:
+//
+// * Redistributions of source code must retain the above copyright
+// notice, this list of conditions and the following disclaimer.
+//
+// * Redistributions in binary form must reproduce the above copyright
+// notice, this list of conditions and the following disclaimer in the
+// documentation and/or other materials provided with the distribution.
+//
+// * The name of Intel Corporation may not be used to endorse or promote
+// products derived from this software without specific prior written
+// permission.
+
+//
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
+// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS 
+// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
+// OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+//
+// Intel Corporation is the author of this code, and requests that all
+// problem reports or change requests be submitted to it directly at
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
+//
+//
+
+#include "libm_support.h"
+
+double __libm_scalbn(double, int, int);
+
+
+double scalbn(double x, int n)
+{
+
+#ifdef SIZE_INT_64 
+   return __libm_scalbn(x,n,1);  
+#else
+
+#ifdef SIZE_INT_32 
+   return __libm_scalbn(x,n,0);
+#endif
+
+#endif
+
+}
diff --git a/sysdeps/ia64/fpu/s_scalbnf.c b/sysdeps/ia64/fpu/s_scalbnf.c
new file mode 100644
index 0000000000..176c2edbd8
--- /dev/null
+++ b/sysdeps/ia64/fpu/s_scalbnf.c
@@ -0,0 +1,62 @@
+/* file: scalbnf.c */
+
+
+// Copyright (c) 2000, 2001, Intel Corporation
+// All rights reserved.
+//
+// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story, 
+// and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation.
+//
+// Redistribution and use in source and binary forms, with or without
+// modification, are permitted provided that the following conditions are
+// met:
+//
+// * Redistributions of source code must retain the above copyright
+// notice, this list of conditions and the following disclaimer.
+//
+// * Redistributions in binary form must reproduce the above copyright
+// notice, this list of conditions and the following disclaimer in the
+// documentation and/or other materials provided with the distribution.
+//
+// * The name of Intel Corporation may not be used to endorse or promote
+// products derived from this software without specific prior written
+// permission.
+
+//
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
+// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS 
+// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
+// OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+//
+// Intel Corporation is the author of this code, and requests that all
+// problem reports or change requests be submitted to it directly at
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
+//
+//
+
+#include "libm_support.h"
+
+float __libm_scalbnf(float, int, int);
+
+
+float scalbnf(float x, int n)
+{
+
+#ifdef SIZE_INT_64 
+   return __libm_scalbnf(x,n,1);  
+#else
+
+#ifdef SIZE_INT_32 
+   return __libm_scalbnf(x,n,0);
+#endif
+
+#endif
+
+}
diff --git a/sysdeps/ia64/fpu/s_scalbnl.c b/sysdeps/ia64/fpu/s_scalbnl.c
new file mode 100644
index 0000000000..d19ddd3c8e
--- /dev/null
+++ b/sysdeps/ia64/fpu/s_scalbnl.c
@@ -0,0 +1,62 @@
+/* file: scalbnl.c */
+
+
+// Copyright (c) 2000, 2001, Intel Corporation
+// All rights reserved.
+//
+// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story, 
+// and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation.
+//
+// Redistribution and use in source and binary forms, with or without
+// modification, are permitted provided that the following conditions are
+// met:
+//
+// * Redistributions of source code must retain the above copyright
+// notice, this list of conditions and the following disclaimer.
+//
+// * Redistributions in binary form must reproduce the above copyright
+// notice, this list of conditions and the following disclaimer in the
+// documentation and/or other materials provided with the distribution.
+//
+// * The name of Intel Corporation may not be used to endorse or promote
+// products derived from this software without specific prior written
+// permission.
+
+//
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
+// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS 
+// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
+// OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+//
+// Intel Corporation is the author of this code, and requests that all
+// problem reports or change requests be submitted to it directly at
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
+//
+//
+
+#include "libm_support.h"
+
+long double __libm_scalbnl(long double, int, int);
+
+
+long double scalbnl(long double x, int n)
+{
+
+#ifdef SIZE_INT_64 
+   return __libm_scalbnl(x,n,1);  
+#else
+
+#ifdef SIZE_INT_32 
+   return __libm_scalbnl(x,n,0);
+#endif
+
+#endif
+
+}
diff --git a/sysdeps/ia64/fpu/s_significand.S b/sysdeps/ia64/fpu/s_significand.S
index 84141daf4d..720e043e5c 100644
--- a/sysdeps/ia64/fpu/s_significand.S
+++ b/sysdeps/ia64/fpu/s_significand.S
@@ -1,10 +1,10 @@
 .file "significand.s"
 
-// Copyright (C) 2000, 2001, Intel Corporation
+
+// Copyright (c) 2000 - 2003, Intel Corporation
 // All rights reserved.
-// 
-// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story,
-// and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
 //
 // Redistribution and use in source and binary forms, with or without
 // modification, are permitted provided that the following conditions are
@@ -20,7 +20,7 @@
 // * The name of Intel Corporation may not be used to endorse or promote
 // products derived from this software without specific prior written
 // permission.
-//
+
 // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
 // "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
@@ -35,13 +35,15 @@
 // 
 // Intel Corporation is the author of this code, and requests that all
 // problem reports or change requests be submitted to it directly at 
-// http://developer.intel.com/opensource.
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
 //
 // History
 //==============================================================
-// 2/02/00: Initial version
-// 4/04/00  Unwind support added
-// 5/31/00: Fixed bug when x a double-extended denormal
+// 02/02/00 Initial version
+// 04/04/00 Unwind support added
+// 05/31/00 Fixed bug when x a double-extended denormal
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 02/10/03 Reordered header: .section, .global, .proc, .align
 //
 // API
 //==============================================================
@@ -56,18 +58,10 @@
 // p6, p7
 //
 // floating-point registers used:  
-// f8, f9, f10
-
-#include "libm_support.h"
-
-.align 32
-.global significand#
+// f8, f9, f10 
 
 .section .text
-.proc  significand#
-.align 32
-
-significand: 
+GLOBAL_LIBM_ENTRY(significand)
 
 // qnan snan inf norm     unorm 0 -+
 // 1    1    1   0        0     1 11
@@ -75,19 +69,19 @@ significand:
 // f10 gets f8(sign) with f1(exp,significand)
 { .mfi
       nop.m 999
-(p0)  fmerge.s       f10 = f8,f1               
+      fmerge.s       f10 = f8,f1               
       nop.i 999
 }
 { .mfi
       nop.m 999
-(p0)  fnorm          f9  = f8                  
+      fnorm.s0          f9  = f8                  
       nop.i 999 ;;
 }
 
 // Test for denormal input
 { .mfi
       nop.m 999
-(p0)  fclass.m.unc   p7,p0 = f8, 0x0b
+      fclass.m.unc   p7,p0 = f8, 0x0b
       nop.i 999 ;;
 }
 
@@ -97,14 +91,14 @@ significand:
 //               return sign(f8) exp(f8) significand(f8), normalized.
 { .mfi
       nop.m 999
-(p0)  fclass.m.unc   p0,p6 = f8, 0xe7          
+      fclass.m.unc   p0,p6 = f8, 0xe7          
       nop.i 999 ;;
 }
 
 { .mmb
       nop.m 999
       nop.m 999
-(p7)  br.cond.spnt L(SIGNIFICAND_DENORM) ;; // Branch if x denormal
+(p7)  br.cond.spnt SIGNIFICAND_DENORM ;; // Branch if x denormal
 }
 
 { .mfi
@@ -115,29 +109,29 @@ significand:
 
 { .mfb
       nop.m 999
-(p0)  fnorm.d        f8 = f8                   
-(p0)  br.ret.sptk    b0 ;;
+      fnorm.d.s0        f8 = f8                   
+      br.ret.sptk    b0 ;;
 }
 
-L(SIGNIFICAND_DENORM):
+SIGNIFICAND_DENORM:
 // Here if x denorm
 { .mfi
       nop.m 999
-(p0)  fmerge.se      f8 = f10,f9
+      fmerge.se      f8 = f10,f9
       nop.i 999 ;;
 }
 
 // Check if fnorm(x) still denormal, means x double-extended denormal
 { .mfi
       nop.m 999
-(p0)  fclass.m.unc   p7,p0 = f9, 0x0b
+      fclass.m.unc   p7,p0 = f9, 0x0b
       nop.i 999 ;;
 }
 
 // This will be the final result unless x double-extended denormal
 { .mfi
       nop.m 999
-(p0)  fnorm.d        f8 = f8
+      fnorm.d.s0        f8 = f8
       nop.i 999 ;;
 }
 
@@ -152,9 +146,8 @@ L(SIGNIFICAND_DENORM):
 // Final normalization if x double-extended denorm
 { .mfb
       nop.m 999
-(p7)  fnorm.d        f8 = f8
-(p0)  br.ret.sptk    b0 ;;
+(p7)  fnorm.d.s0        f8 = f8
+      br.ret.sptk    b0 ;;
 }
 
-.endp significand
-ASM_SIZE_DIRECTIVE(significand)
+GLOBAL_LIBM_END(significand)
diff --git a/sysdeps/ia64/fpu/s_significandf.S b/sysdeps/ia64/fpu/s_significandf.S
index d8cdc159f6..5c8299b944 100644
--- a/sysdeps/ia64/fpu/s_significandf.S
+++ b/sysdeps/ia64/fpu/s_significandf.S
@@ -1,10 +1,10 @@
 .file "significandf.s"
 
-// Copyright (C) 2000, 2001, Intel Corporation
+
+// Copyright (c) 2000 - 2003, Intel Corporation
 // All rights reserved.
-// 
-// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story,
-// and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
 //
 // Redistribution and use in source and binary forms, with or without
 // modification, are permitted provided that the following conditions are
@@ -20,7 +20,7 @@
 // * The name of Intel Corporation may not be used to endorse or promote
 // products derived from this software without specific prior written
 // permission.
-//
+
 // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
 // "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
@@ -35,13 +35,15 @@
 // 
 // Intel Corporation is the author of this code, and requests that all
 // problem reports or change requests be submitted to it directly at 
-// http://developer.intel.com/opensource.
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
 //
 // History
 //==============================================================
-// 2/02/00: Initial version
-// 2/03/00: Modified to improve speed
-// 5/31/00: Fixed bug when x a double-extended denormal
+// 02/02/00 Initial version
+// 02/03/00 Modified to improve speed
+// 05/31/00 Fixed bug when x a double-extended denormal
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 02/10/03 Reordered header: .section, .global, .proc, .align
 //
 // API
 //==============================================================
@@ -55,18 +57,10 @@
 // p6, p7
 //
 // floating-point registers used:  
-// f8, f9, f10
-
-#include "libm_support.h"
-
-.align 32
-.global significandf#
+// f8, f9, f10 
 
 .section .text
-.proc  significandf#
-.align 32
-
-significandf: 
+GLOBAL_LIBM_ENTRY(significandf)
 
 // qnan snan inf norm     unorm 0 -+
 // 1    1    1   0        0     1 11
@@ -74,19 +68,19 @@ significandf:
 // f10 gets f8(sign) with f1(exp,significand)
 { .mfi
       nop.m 999
-(p0)  fmerge.s       f10 = f8,f1               
+      fmerge.s       f10 = f8,f1               
       nop.i 999
 }
 { .mfi
       nop.m 999
-(p0)  fnorm          f9  = f8                  
+      fnorm.s0          f9  = f8                  
       nop.i 999 ;;
 }
 
 // Test for denormal input
 { .mfi
       nop.m 999
-(p0)  fclass.m.unc   p7,p0 = f8, 0x0b
+      fclass.m.unc   p7,p0 = f8, 0x0b
       nop.i 999 ;;
 }
 
@@ -96,14 +90,14 @@ significandf:
 //               return sign(f8) exp(f8) significand(f8), normalized.
 { .mfi
       nop.m 999
-(p0)  fclass.m.unc   p0,p6 = f8, 0xe7          
+      fclass.m.unc   p0,p6 = f8, 0xe7          
       nop.i 999 ;;
 }
 
 { .mmb
       nop.m 999
       nop.m 999
-(p7)  br.cond.spnt L(SIGNIFICAND_DENORM) ;; // Branch if x denormal
+(p7)  br.cond.spnt SIGNIFICAND_DENORM ;; // Branch if x denormal
 }
 
 { .mfi
@@ -114,29 +108,29 @@ significandf:
 
 { .mfb
       nop.m 999
-(p0)  fnorm.s        f8 = f8
-(p0)  br.ret.sptk    b0 ;;
+      fnorm.s.s0        f8 = f8
+      br.ret.sptk    b0 ;;
 }
 
-L(SIGNIFICAND_DENORM):
+SIGNIFICAND_DENORM:
 // Here if x denorm
 { .mfi
       nop.m 999
-(p0)  fmerge.se      f8 = f10,f9
+      fmerge.se      f8 = f10,f9
       nop.i 999 ;;
 }
 
 // Check if fnorm(x) still denormal, means x double-extended denormal
 { .mfi
       nop.m 999
-(p0)  fclass.m.unc   p7,p0 = f9, 0x0b
+      fclass.m.unc   p7,p0 = f9, 0x0b
       nop.i 999 ;;
 }
 
 // This will be the final result unless x double-extended denormal
 { .mfi
       nop.m 999
-(p0)  fnorm.s        f8 = f8
+      fnorm.s.s0        f8 = f8
       nop.i 999 ;;
 }
 
@@ -151,9 +145,8 @@ L(SIGNIFICAND_DENORM):
 // Final normalization if x double-extended denorm
 { .mfb
       nop.m 999
-(p7)  fnorm.s        f8 = f8
-(p0)  br.ret.sptk    b0 ;;
+(p7)  fnorm.s.s0        f8 = f8
+      br.ret.sptk    b0 ;;
 }
 
-.endp significandf
-ASM_SIZE_DIRECTIVE(significandf)
+GLOBAL_LIBM_END(significandf)
diff --git a/sysdeps/ia64/fpu/s_significandl.S b/sysdeps/ia64/fpu/s_significandl.S
index 268d3567d0..f62df4310c 100644
--- a/sysdeps/ia64/fpu/s_significandl.S
+++ b/sysdeps/ia64/fpu/s_significandl.S
@@ -1,10 +1,10 @@
 .file "significandl.s"
 
-// Copyright (C) 2000, 2001, Intel Corporation
+
+// Copyright (c) 2000 - 2003, Intel Corporation
 // All rights reserved.
-// 
-// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story,
-// and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
 //
 // Redistribution and use in source and binary forms, with or without
 // modification, are permitted provided that the following conditions are
@@ -20,7 +20,7 @@
 // * The name of Intel Corporation may not be used to endorse or promote
 // products derived from this software without specific prior written
 // permission.
-//
+
 // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
 // "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
@@ -35,13 +35,15 @@
 // 
 // Intel Corporation is the author of this code, and requests that all
 // problem reports or change requests be submitted to it directly at 
-// http://developer.intel.com/opensource.
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
 //
 // History
 //==============================================================
-// 2/02/00: Initial version
-// 2/03/00: Modified to improve speed
-// 5/31/00: Fixed bug when x a double-extended denormal
+// 02/02/00 Initial version
+// 02/03/00 Modified to improve speed
+// 05/31/00 Fixed bug when x a double-extended denormal
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 02/10/03 Reordered header: .section, .global, .proc, .align
 //
 // API
 //==============================================================
@@ -56,18 +58,10 @@
 // p6, p7
 //
 // floating-point registers used:  
-// f8, f9, f10
-
-#include "libm_support.h"
-
-.align 32
-.global significandl#
+// f8, f9, f10 
 
 .section .text
-.proc  significandl#
-.align 32
-
-significandl: 
+GLOBAL_LIBM_ENTRY(significandl)
 
 // qnan snan inf norm     unorm 0 -+
 // 1    1    1   0        0     1 11
@@ -75,19 +69,19 @@ significandl:
 // f10 gets f8(sign) with f1(exp,significand)
 { .mfi
       nop.m 999
-(p0)  fmerge.s       f10 = f8,f1               
+      fmerge.s       f10 = f8,f1               
       nop.i 999
 }
 { .mfi
       nop.m 999
-(p0)  fnorm          f9  = f8                  
+      fnorm.s0          f9  = f8                  
       nop.i 999 ;;
 }
 
 // Test for denormal input
 { .mfi
       nop.m 999
-(p0)  fclass.m.unc   p7,p0 = f8, 0x0b
+      fclass.m.unc   p7,p0 = f8, 0x0b
       nop.i 999 ;;
 }
           
@@ -97,14 +91,14 @@ significandl:
 //               return sign(f8) exp(f8) significand(f8), normalized.
 { .mfi
       nop.m 999
-(p0)  fclass.m.unc   p0,p6 = f8, 0xe7          
+      fclass.m.unc   p0,p6 = f8, 0xe7          
       nop.i 999 ;;
 }
 
 { .mmb
       nop.m 999
       nop.m 999
-(p7)  br.cond.spnt L(SIGNIFICAND_DENORM) ;; // Branch if x denormal
+(p7)  br.cond.spnt SIGNIFICAND_DENORM ;; // Branch if x denormal
 }
 
 { .mfi
@@ -115,29 +109,29 @@ significandl:
 
 { .mfb
       nop.m 999
-(p0)  fnorm          f8 = f8
-(p0)  br.ret.sptk    b0 ;;
+      fnorm.s0          f8 = f8
+      br.ret.sptk    b0 ;;
 }
 
-L(SIGNIFICAND_DENORM):
+SIGNIFICAND_DENORM:
 // Here if x denorm
 { .mfi
       nop.m 999
-(p0)  fmerge.se      f8 = f10,f9
+      fmerge.se      f8 = f10,f9
       nop.i 999 ;;
 }
 
 // Check if fnorm(x) still denormal, means x double-extended denormal
 { .mfi
       nop.m 999
-(p0)  fclass.m.unc   p7,p0 = f9, 0x0b
+      fclass.m.unc   p7,p0 = f9, 0x0b
       nop.i 999 ;;
 }
 
 // This will be the final result unless x double-extended denormal
 { .mfi
       nop.m 999
-(p0)  fnorm          f8 = f8                   
+      fnorm.s0          f8 = f8                   
       nop.i 999 ;;
 }
 
@@ -152,9 +146,8 @@ L(SIGNIFICAND_DENORM):
 // Final normalization if x double-extended denorm
 { .mfb
       nop.m 999
-(p7)  fnorm          f8 = f8                   
-(p0)  br.ret.sptk    b0 ;;
+(p7)  fnorm.s0          f8 = f8                   
+      br.ret.sptk    b0 ;;
 }
 
-.endp significandl
-ASM_SIZE_DIRECTIVE(significandl)
+GLOBAL_LIBM_END(significandl)
diff --git a/sysdeps/ia64/fpu/s_sincos.c b/sysdeps/ia64/fpu/s_sincos.c
index 1ddbc2122a..41254ae60a 100644
--- a/sysdeps/ia64/fpu/s_sincos.c
+++ b/sysdeps/ia64/fpu/s_sincos.c
@@ -1,9 +1 @@
-#include <math.h>
-
-void
-__sincos (double x, double *s, double *c)
-{
-  *s = sin (x);
-  *c = cos (x);
-}
-weak_alias (__sincos, sincos)
+/* Not needed. */
diff --git a/sysdeps/ia64/fpu/s_sincosf.c b/sysdeps/ia64/fpu/s_sincosf.c
index efd0fe3038..41254ae60a 100644
--- a/sysdeps/ia64/fpu/s_sincosf.c
+++ b/sysdeps/ia64/fpu/s_sincosf.c
@@ -1,9 +1 @@
-#include <math.h>
-
-void
-__sincosf (float x, float *s, float *c)
-{
-  *s = sinf (x);
-  *c = cosf (x);
-}
-weak_alias (__sincosf, sincosf)
+/* Not needed. */
diff --git a/sysdeps/ia64/fpu/s_sincosl.c b/sysdeps/ia64/fpu/s_sincosl.c
index a835b772e2..41254ae60a 100644
--- a/sysdeps/ia64/fpu/s_sincosl.c
+++ b/sysdeps/ia64/fpu/s_sincosl.c
@@ -1,9 +1 @@
-#include <math.h>
-
-void
-__sincosl (long double x, long double *s, long double *c)
-{
-  *s = sinl (x);
-  *c = cosl (x);
-}
-weak_alias (__sincosl, sincosl)
+/* Not needed. */
diff --git a/sysdeps/ia64/fpu/s_tan.S b/sysdeps/ia64/fpu/s_tan.S
index 3a497fcf4c..3000f5ee06 100644
--- a/sysdeps/ia64/fpu/s_tan.S
+++ b/sysdeps/ia64/fpu/s_tan.S
@@ -1,10 +1,10 @@
-.file "tan.s"
+.file "tancot.s"
 
-// Copyright (C) 2000, 2001, Intel Corporation
+
+// Copyright (c) 2000 - 2003, Intel Corporation
 // All rights reserved.
-// 
-// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story,
-// and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
 //
 // Redistribution and use in source and binary forms, with or without
 // modification, are permitted provided that the following conditions are
@@ -20,7 +20,7 @@
 // * The name of Intel Corporation may not be used to endorse or promote
 // products derived from this software without specific prior written
 // permission.
-//
+
 // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
 // "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
@@ -32,20 +32,24 @@
 // OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
 // NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 
 // SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 
-// 
+//
 // Intel Corporation is the author of this code, and requests that all
 // problem reports or change requests be submitted to it directly at 
-// http://developer.intel.com/opensource.
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
 //
 // History
 //==============================================================
-// 2/02/00: Initial version
-// 4/04/00  Unwind support added
+// 02/02/00 Initial version
+// 04/04/00 Unwind support added
 // 12/27/00 Improved speed
+// 02/21/01 Updated to call tanl
+// 05/30/02 Added cot
+// 02/10/03 Reordered header: .section, .global, .proc, .align
 //
 // API
 //==============================================================
-// double tan( double x);
+// double tan(double x);
+// double cot(double x);
 //
 // Overview of operation
 //==============================================================
@@ -61,11 +65,14 @@
 //     Nfloat = round_int(tan_W)
 //
 //     tan_r  = x - Nfloat * (pi/2)_hi
-//     tan_r  = tan_r - Nfloat * (pi/2)_lo
+//  a) tan_r  = tan_r - Nfloat * (pi/2)_lo (for tan)
+//  b) tan_r  = Nfloat * (pi/2)_lo - tan_r (for cot)
 //
 // We have two paths: p8, when Nfloat is even and p9. when Nfloat is odd.
-// p8: tan(X) =  tan(r)
-// p9: tan(X) = -cot(r)
+//  a) for tan:  p8: tan(X) =  tan(r)
+//               p9: tan(X) = -cot(r)
+//  b) for cot:  p9: cot(X) =  cot(r)
+//               p8: cot(X) = -tan(r)
 //
 // Each is evaluated as a series. The p9 path requires 1/r.
 //
@@ -75,19 +82,16 @@
 // Registers used
 //==============================================================
 //
-// predicate registers used:  
-// p6-10
+// predicate registers used:
+// p6-12
 //
-// floating-point registers used:  
-// f10-15, f32-105
+// floating-point registers used:
+// f10-15, f32-106
 // f8, input
 //
 // general registers used
-// r14-18, r32-43
+// r14-26, r32-39
 //
-
-#include "libm_support.h"
-
 // Assembly macros
 //==============================================================
 TAN_INV_PI_BY_2_2TO64        = f10
@@ -105,28 +109,28 @@ tan_Pi_by_2_lo               = f34
 tan_P0                       = f35
 tan_P1                       = f36
 tan_P2                       = f37
-tan_P3                       = f38 
-tan_P4                       = f39 
-tan_P5                       = f40 
+tan_P3                       = f38
+tan_P4                       = f39
+tan_P5                       = f40
 tan_P6                       = f41
 tan_P7                       = f42
-tan_P8                       = f43 
-tan_P9                       = f44 
-tan_P10                      = f45 
+tan_P8                       = f43
+tan_P9                       = f44
+tan_P10                      = f45
 tan_P11                      = f46
-tan_P12                      = f47 
+tan_P12                      = f47
 tan_P13                      = f48
 tan_P14                      = f49
 tan_P15                      = f50
 
-tan_Q0                       = f51 
-tan_Q1                       = f52 
-tan_Q2                       = f53 
-tan_Q3                       = f54 
-tan_Q4                       = f55 
-tan_Q5                       = f56 
-tan_Q6                       = f57 
-tan_Q7                       = f58 
+tan_Q0                       = f51
+tan_Q1                       = f52
+tan_Q2                       = f53
+tan_Q3                       = f54
+tan_Q4                       = f55
+tan_Q5                       = f56
+tan_Q6                       = f57
+tan_Q7                       = f58
 tan_Q8                       = f59
 tan_Q9                       = f60
 tan_Q10                      = f61
@@ -153,19 +157,19 @@ tan_v10                      = f79
 tan_v2                       = f80
 tan_v9                       = f81
 tan_v1                       = f82
-tan_int_Nfloat               = f83 
-tan_Nfloat                   = f84 
+tan_int_Nfloat               = f83
+tan_Nfloat                   = f84
 
-tan_NORM_f8                  = f85 
+tan_NORM_f8                  = f85
 tan_W                        = f86
 
 tan_y0                       = f87
-tan_d                        = f88 
-tan_y1                       = f89 
-tan_dsq                      = f90 
-tan_y2                       = f91 
-tan_d4                       = f92 
-tan_inv_r                    = f93 
+tan_d                        = f88
+tan_y1                       = f89
+tan_dsq                      = f90
+tan_y2                       = f91
+tan_d4                       = f92
+tan_inv_r                    = f93
 
 tan_z1                       = f94
 tan_z2                       = f95
@@ -180,6 +184,7 @@ tan_z10                      = f103
 tan_z11                      = f104
 tan_z12                      = f105
 
+arg_copy                     = f106
 
 /////////////////////////////////////////////////////////////
 
@@ -188,37 +193,33 @@ tan_GR_rshf_2to64            = r15
 tan_GR_exp_2tom64            = r16
 tan_GR_n                     = r17
 tan_GR_rshf                  = r18
-
-tan_AD                       = r33
-tan_GR_10009                 = r34 
-tan_GR_17_ones               = r35 
-tan_GR_N_odd_even            = r36 
-tan_GR_N                     = r37 
-tan_signexp                  = r38
-tan_exp                      = r39
-tan_ADQ                      = r40
-
-GR_SAVE_PFS                  = r41 
-GR_SAVE_B0                   = r42       
-GR_SAVE_GP                   = r43      
-
-
-#ifdef _LIBC
-.rodata
-#else
-.data
-#endif
+tan_AD                       = r19
+tan_GR_10009                 = r20
+tan_GR_17_ones               = r21
+tan_GR_N_odd_even            = r22
+tan_GR_N                     = r23
+tan_signexp                  = r24
+tan_exp                      = r25
+tan_ADQ                      = r26
+
+GR_SAVE_B0                   = r33
+GR_SAVE_PFS                  = r34
+GR_SAVE_GP                   = r35
+GR_Parameter_X               = r36
+GR_Parameter_Y               = r37
+GR_Parameter_RESULT          = r38
+GR_Parameter_Tag             = r39
+
+
+RODATA
 
 .align 16
 
-double_tan_constants:
-ASM_TYPE_DIRECTIVE(double_tan_constants,@object)
-//   data8 0xA2F9836E4E44152A, 0x00003FFE // 2/pi
+LOCAL_OBJECT_START(double_tan_constants)
    data8 0xC90FDAA22168C234, 0x00003FFF // pi/2 hi
-
-   data8 0xBEEA54580DDEA0E1 // P14 
+   data8 0xBEEA54580DDEA0E1 // P14
    data8 0x3ED3021ACE749A59 // P15
-   data8 0xBEF312BD91DC8DA1 // P12 
+   data8 0xBEF312BD91DC8DA1 // P12
    data8 0x3EFAE9AFC14C5119 // P13
    data8 0x3F2F342BF411E769 // P8
    data8 0x3F1A60FC9F3B0227 // P9
@@ -232,10 +233,9 @@ ASM_TYPE_DIRECTIVE(double_tan_constants,@object)
    data8 0x3FC11111111111C2 // P1
    data8 0x3FABA1BA1BA0E850 // P2
    data8 0x3F9664F4886725A7 // P3
-ASM_SIZE_DIRECTIVE(double_tan_constants)
+LOCAL_OBJECT_END(double_tan_constants)
 
-double_Q_tan_constants:
-ASM_TYPE_DIRECTIVE(double_Q_tan_constants,@object)
+LOCAL_OBJECT_START(double_Q_tan_constants)
    data8 0xC4C6628B80DC1CD1, 0x00003FBF // pi/2 lo
    data8 0x3E223A73BA576E48 // Q8
    data8 0x3DF54AD8D1F2CA43 // Q9
@@ -248,35 +248,19 @@ ASM_TYPE_DIRECTIVE(double_Q_tan_constants,@object)
    data8 0x3F61566ABBFFB489 // Q2
    data8 0x3F2BBD77945C1733 // Q3
    data8 0x3D927FB33E2B0E04 // Q10
-ASM_SIZE_DIRECTIVE(double_Q_tan_constants)
+LOCAL_OBJECT_END(double_Q_tan_constants)
 
 
-   
-.align 32
-.global tan#
-#ifdef _LIBC
-.global __tan#
-#endif
+.section .text
 
 ////////////////////////////////////////////////////////
 
-
-
-.section .text
-.proc  tan#
-#ifdef _LIBC
-.proc  __tan#
-#endif
-.align 32
-tan: 
-#ifdef _LIBC
-__tan: 
-#endif
+LOCAL_LIBM_ENTRY(cot)
 // The initial fnorm will take any unmasked faults and
 // normalize any single/double unorms
 
 { .mlx
-      alloc          r32=ar.pfs,1,11,0,0               
+      cmp.eq    p12, p11 = r0, r0 // set p12=1, p11=0 for cot
       movl tan_GR_sig_inv_pi_by_2 = 0xA2F9836E4E44152A // significand of 2/pi
 }
 { .mlx
@@ -285,18 +269,47 @@ __tan:
 }
 ;;
 
-{ .mfi
-      ld8 tan_AD = [tan_AD]
-      fnorm     tan_NORM_f8  = f8                      
+{ .mlx
       mov tan_GR_exp_2tom64 = 0xffff-64 // exponent of scaling factor 2^-64
+      movl tan_GR_rshf = 0x43e8000000000000 // 1.1000 2^63 for right shift
 }
+{ .mfb
+      ld8 tan_AD = [tan_AD]
+      fnorm.s0  tan_NORM_f8  = f8
+      br.cond.sptk COMMON_PATH
+}
+;;
+
+LOCAL_LIBM_END(cot)
+
+GLOBAL_IEEE754_ENTRY(tan)
+// The initial fnorm will take any unmasked faults and
+// normalize any single/double unorms
+
 { .mlx
-      nop.m 999
+      cmp.eq    p11, p12 = r0, r0 // set p11=1, p12=0 for tan
+      movl tan_GR_sig_inv_pi_by_2 = 0xA2F9836E4E44152A // significand of 2/pi
+}
+{ .mlx
+      addl           tan_AD   = @ltoff(double_tan_constants), gp
+      movl tan_GR_rshf_2to64 = 0x47e8000000000000 // 1.1000 2^(63+63+1)
+}
+;;
+
+{ .mlx
+      mov tan_GR_exp_2tom64 = 0xffff-64 // exponent of scaling factor 2^-64
       movl tan_GR_rshf = 0x43e8000000000000 // 1.1000 2^63 for right shift
 }
+{ .mfi
+      ld8 tan_AD = [tan_AD]
+      fnorm.s0  tan_NORM_f8  = f8
+      nop.i     0
+}
 ;;
 
 
+// Common path for both tan and cot
+COMMON_PATH:
 // Form two constants we need
 //   2/pi * 2^1 * 2^63, scaled by 2^64 since we just loaded the significand
 //   1.1000...000 * 2^(63+63+1) to right shift int(W) into the significand
@@ -313,7 +326,7 @@ __tan:
 { .mmf
       setf.exp TAN_2TOM64 = tan_GR_exp_2tom64
       adds tan_ADQ = double_Q_tan_constants - double_tan_constants, tan_AD
-      fclass.m.unc  p6,p0 = f8, 0x07  // Test for x=0
+(p11) fclass.m.unc  p6,p0 = f8, 0x07  // Test for x=0 (tan)
 }
 ;;
 
@@ -323,79 +336,79 @@ __tan:
 //   1.1000...000 * 2^63, the right shift constant
 { .mmf
       setf.d TAN_RSHF = tan_GR_rshf
-      ldfe      tan_Pi_by_2_hi = [tan_AD],16 
+      ldfe      tan_Pi_by_2_hi = [tan_AD],16
       fclass.m.unc  p7,p0 = f8, 0x23  // Test for x=inf
 }
 ;;
 
 { .mfb
-      ldfe      tan_Pi_by_2_lo = [tan_ADQ],16           
+      ldfe      tan_Pi_by_2_lo = [tan_ADQ],16
       fclass.m.unc  p8,p0 = f8, 0xc3  // Test for x=nan
-(p6)  br.ret.spnt    b0    ;;         // Exit for x=0
+(p6)  br.ret.spnt    b0    ;;         // Exit for x=0 (tan only)
 }
 
 { .mfi
-      ldfpd     tan_P14,tan_P15 = [tan_AD],16                         
+      ldfpd     tan_P14,tan_P15 = [tan_AD],16
 (p7)  frcpa.s0  f8,p9=f0,f0           // Set qnan indef if x=inf
       mov       tan_GR_10009 = 0x10009
 }
 { .mib
-      ldfpd      tan_Q8,tan_Q9  = [tan_ADQ],16                        
+      ldfpd      tan_Q8,tan_Q9  = [tan_ADQ],16
       nop.i 999
 (p7)  br.ret.spnt    b0    ;;         // Exit for x=inf
 }
 
 { .mfi
-      ldfpd      tan_P12,tan_P13 = [tan_AD],16                         
-(p8)  fma.d f8=f8,f1,f8               // Set qnan if x=nan
+      ldfpd      tan_P12,tan_P13 = [tan_AD],16
+(p12) fclass.m.unc  p6,p0 = f8, 0x07  // Test for x=0 (cot)
       nop.i 999
 }
-{ .mib
-      ldfpd      tan_Q4,tan_Q5  = [tan_ADQ],16                        
-      nop.i 999
+{ .mfb
+      ldfpd      tan_Q4,tan_Q5  = [tan_ADQ],16
+(p8)  fma.d.s0   f8=f8,f1,f8          // Set qnan if x=nan
 (p8)  br.ret.spnt    b0    ;;         // Exit for x=nan
 }
 
-{ .mmi
-      getf.exp  tan_signexp    = tan_NORM_f8                 
-      ldfpd      tan_P8,tan_P9  = [tan_AD],16                         
-      nop.i 999 ;;
+{ .mmf
+      getf.exp  tan_signexp    = tan_NORM_f8
+      ldfpd     tan_P8,tan_P9  = [tan_AD],16
+      fmerge.s  arg_copy       = f8, f8 ;; // Save input for error call
 }
 
-// Multiply x by scaled 2/pi and add large const to shift integer part of W to 
+// Multiply x by scaled 2/pi and add large const to shift integer part of W to
 //   rightmost bits of significand
-{ .mfi
+{ .mmf
+      alloc      r32=ar.pfs,0,4,4,0
       ldfpd      tan_Q6,tan_Q7  = [tan_ADQ],16
       fma.s1 TAN_W_2TO64_RSH = tan_NORM_f8,TAN_INV_PI_BY_2_2TO64,TAN_RSHF_2TO64
-      nop.i 999 ;;
-}
+};;
 
-{ .mmi
-      ldfpd      tan_P10,tan_P11 = [tan_AD],16                         
-      nop.m 999
-      and       tan_exp = tan_GR_17_ones, tan_signexp         ;;
+{ .mmf
+      ldfpd      tan_P10,tan_P11 = [tan_AD],16
+      and       tan_exp = tan_GR_17_ones, tan_signexp
+(p6)  frcpa.s0  f8, p0 = f1, f8 ;;        // cot(+-0) = +-Inf
 }
 
 
 // p7 is true if we must call DBX TAN
 // p7 is true if f8 exp is > 0x10009 (which includes all ones
 //    NAN or inf)
-{ .mmi
-      ldfpd      tan_Q0,tan_Q1  = [tan_ADQ],16                         
-      cmp.ge.unc  p7,p0 = tan_exp,tan_GR_10009               
-      nop.i 999 ;;
+{ .mmb
+      ldfpd      tan_Q0,tan_Q1  = [tan_ADQ],16
+      cmp.ge.unc  p7,p0 = tan_exp,tan_GR_10009
+(p7)  br.cond.spnt   TAN_DBX ;;
 }
 
 
 { .mmb
-      ldfpd      tan_P4,tan_P5  = [tan_AD],16                         
-      nop.m 999
-(p7)  br.cond.spnt   L(TAN_DBX) ;;                                  
+      ldfpd      tan_P4,tan_P5  = [tan_AD],16
+(p6)  mov GR_Parameter_Tag = 226          // (cot)
+(p6)  br.cond.spnt __libm_error_region ;; // call error support if cot(+-0)
 }
 
 
 { .mmi
-      ldfpd      tan_Q2,tan_Q3  = [tan_ADQ],16                         
+      ldfpd      tan_Q2,tan_Q3  = [tan_ADQ],16
       nop.m 999
       nop.i 999 ;;
 }
@@ -404,8 +417,8 @@ __tan:
 
 // TAN_NFLOAT = Round_Int_Nearest(tan_W)
 { .mfi
-      ldfpd      tan_P6,tan_P7  = [tan_AD],16                         
-      fms.s1 TAN_NFLOAT = TAN_W_2TO64_RSH,TAN_2TOM64,TAN_RSHF      
+      ldfpd      tan_P6,tan_P7  = [tan_AD],16
+      fms.s1 TAN_NFLOAT = TAN_W_2TO64_RSH,TAN_2TOM64,TAN_RSHF
       nop.i 999 ;;
 }
 
@@ -418,22 +431,22 @@ __tan:
 
 
 { .mfi
-      ldfpd      tan_P0,tan_P1  = [tan_AD],16                         
+      ldfpd      tan_P0,tan_P1  = [tan_AD],16
       nop.f 999
       nop.i 999 ;;
 }
 
 
-{ .mfi
+{ .mmi
       getf.sig    tan_GR_n = TAN_W_2TO64_RSH
-      nop.f 999
+      ldfpd      tan_P2,tan_P3  = [tan_AD]
       nop.i 999 ;;
 }
 
 // tan_r          = -tan_Nfloat * tan_Pi_by_2_hi + x
 { .mfi
-      ldfpd      tan_P2,tan_P3  = [tan_AD]
-      fnma.s1  tan_r      = TAN_NFLOAT, tan_Pi_by_2_hi,  tan_NORM_f8         
+(p12) add        tan_GR_n = 0x1, tan_GR_n // N = N + 1 (for cot)
+      fnma.s1  tan_r      = TAN_NFLOAT, tan_Pi_by_2_hi,  tan_NORM_f8
       nop.i 999 ;;
 }
 
@@ -441,42 +454,49 @@ __tan:
 // p8 ==> even
 // p9 ==> odd
 { .mmi
-      and         tan_GR_N_odd_even = 0x1, tan_GR_n ;;          
+      and         tan_GR_N_odd_even = 0x1, tan_GR_n ;;
       nop.m 999
       cmp.eq.unc  p8,p9          = tan_GR_N_odd_even, r0      ;;
 }
 
 
-// tan_r          = tan_r -tan_Nfloat * tan_Pi_by_2_lo 
+.pred.rel "mutex", p11, p12
+// tan_r          = tan_r -tan_Nfloat * tan_Pi_by_2_lo (tan)
 { .mfi
       nop.m 999
-      fnma.s1  tan_r      = TAN_NFLOAT, tan_Pi_by_2_lo,  tan_r      
+(p11) fnma.s1  tan_r      = TAN_NFLOAT, tan_Pi_by_2_lo,  tan_r
+      nop.i 999
+}
+// tan_r          = -(tan_r -tan_Nfloat * tan_Pi_by_2_lo) (cot)
+{ .mfi
+      nop.m 999
+(p12) fms.s1   tan_r      = TAN_NFLOAT, tan_Pi_by_2_lo,  tan_r
       nop.i 999 ;;
 }
 
 
 { .mfi
       nop.m 999
-      fma.s1   tan_rsq    = tan_r, tan_r,   f0                      
+      fma.s1   tan_rsq    = tan_r, tan_r,   f0
       nop.i 999 ;;
 }
 
 
 { .mfi
       nop.m 999
-(p9)  frcpa.s1   tan_y0, p10 = f1,tan_r                  
+(p9)  frcpa.s1   tan_y0, p0 = f1,tan_r
       nop.i 999  ;;
 }
 
 
 { .mfi
       nop.m 999
-(p8)  fma.s1  tan_v18 = tan_rsq, tan_P15, tan_P14        
+(p8)  fma.s1  tan_v18 = tan_rsq, tan_P15, tan_P14
       nop.i 999
 }
 { .mfi
       nop.m 999
-(p8)  fma.s1  tan_v4  = tan_rsq, tan_P1, tan_P0          
+(p8)  fma.s1  tan_v4  = tan_rsq, tan_P1, tan_P0
       nop.i 999  ;;
 }
 
@@ -484,12 +504,12 @@ __tan:
 
 { .mfi
       nop.m 999
-(p8)  fma.s1  tan_v16 = tan_rsq, tan_P13, tan_P12        
-      nop.i 999 
+(p8)  fma.s1  tan_v16 = tan_rsq, tan_P13, tan_P12
+      nop.i 999
 }
 { .mfi
       nop.m 999
-(p8)  fma.s1  tan_v17 = tan_rsq, tan_rsq, f0             
+(p8)  fma.s1  tan_v17 = tan_rsq, tan_rsq, f0
       nop.i 999 ;;
 }
 
@@ -497,12 +517,12 @@ __tan:
 
 { .mfi
       nop.m 999
-(p8)  fma.s1  tan_v12 = tan_rsq, tan_P9, tan_P8          
-      nop.i 999 
+(p8)  fma.s1  tan_v12 = tan_rsq, tan_P9, tan_P8
+      nop.i 999
 }
 { .mfi
       nop.m 999
-(p8)  fma.s1  tan_v13 = tan_rsq, tan_P11, tan_P10        
+(p8)  fma.s1  tan_v13 = tan_rsq, tan_P11, tan_P10
       nop.i 999 ;;
 }
 
@@ -510,12 +530,12 @@ __tan:
 
 { .mfi
       nop.m 999
-(p8)  fma.s1  tan_v7  = tan_rsq, tan_P5, tan_P4          
-      nop.i 999 
+(p8)  fma.s1  tan_v7  = tan_rsq, tan_P5, tan_P4
+      nop.i 999
 }
 { .mfi
       nop.m 999
-(p8)  fma.s1  tan_v8  = tan_rsq, tan_P7, tan_P6          
+(p8)  fma.s1  tan_v8  = tan_rsq, tan_P7, tan_P6
       nop.i 999 ;;
 }
 
@@ -523,12 +543,12 @@ __tan:
 
 { .mfi
       nop.m 999
-(p9)  fnma.s1    tan_d   = tan_r, tan_y0, f1   
-      nop.i 999 
+(p9)  fnma.s1    tan_d   = tan_r, tan_y0, f1
+      nop.i 999
 }
 { .mfi
       nop.m 999
-(p8)  fma.s1  tan_v5  = tan_rsq, tan_P3, tan_P2          
+(p8)  fma.s1  tan_v5  = tan_rsq, tan_P3, tan_P2
       nop.i 999 ;;
 }
 
@@ -536,36 +556,36 @@ __tan:
 
 { .mfi
       nop.m 999
-(p9)  fma.s1  tan_z11 = tan_rsq, tan_Q9, tan_Q8         
+(p9)  fma.s1  tan_z11 = tan_rsq, tan_Q9, tan_Q8
       nop.i 999
 }
 { .mfi
       nop.m 999
-(p9)  fma.s1  tan_z12 = tan_rsq, tan_rsq, f0            
+(p9)  fma.s1  tan_z12 = tan_rsq, tan_rsq, f0
       nop.i 999 ;;
 }
 
 
 { .mfi
       nop.m 999
-(p8)  fma.s1  tan_v15 = tan_v17, tan_v18, tan_v16        
-      nop.i 999 
+(p8)  fma.s1  tan_v15 = tan_v17, tan_v18, tan_v16
+      nop.i 999
 }
 { .mfi
       nop.m 999
-(p9)  fma.s1  tan_z7 = tan_rsq, tan_Q5, tan_Q4          
+(p9)  fma.s1  tan_z7 = tan_rsq, tan_Q5, tan_Q4
       nop.i 999 ;;
 }
 
 
 { .mfi
       nop.m 999
-(p8)  fma.s1  tan_v11 = tan_v17, tan_v13, tan_v12        
+(p8)  fma.s1  tan_v11 = tan_v17, tan_v13, tan_v12
       nop.i 999
 }
 { .mfi
       nop.m 999
-(p9)  fma.s1  tan_z8 = tan_rsq, tan_Q7, tan_Q6          
+(p9)  fma.s1  tan_z8 = tan_rsq, tan_Q7, tan_Q6
       nop.i 999 ;;
 }
 
@@ -573,13 +593,13 @@ __tan:
 
 { .mfi
       nop.m 999
-(p8)  fma.s1  tan_v14 = tan_v17, tan_v17, f0             
-      nop.i 999 
+(p8)  fma.s1  tan_v14 = tan_v17, tan_v17, f0
+      nop.i 999
 }
 { .mfi
       nop.m 999
-(p9)  fma.s1  tan_z3 = tan_rsq, tan_Q1, tan_Q0          
-      nop.i 999 ;; 
+(p9)  fma.s1  tan_z3 = tan_rsq, tan_Q1, tan_Q0
+      nop.i 999 ;;
 }
 
 
@@ -587,12 +607,12 @@ __tan:
 
 { .mfi
       nop.m 999
-(p8)  fma.s1  tan_v3 = tan_v17, tan_v5, tan_v4           
+(p8)  fma.s1  tan_v3 = tan_v17, tan_v5, tan_v4
       nop.i 999
 }
 { .mfi
       nop.m 999
-(p8)  fma.s1  tan_v6 = tan_v17, tan_v8, tan_v7           
+(p8)  fma.s1  tan_v6 = tan_v17, tan_v8, tan_v7
       nop.i 999 ;;
 }
 
@@ -600,89 +620,89 @@ __tan:
 
 { .mfi
       nop.m 999
-(p9)  fma.s1     tan_y1  = tan_y0, tan_d, tan_y0    
-      nop.i 999 
+(p9)  fma.s1     tan_y1  = tan_y0, tan_d, tan_y0
+      nop.i 999
 }
 { .mfi
       nop.m 999
-(p9)  fma.s1     tan_dsq = tan_d, tan_d, f0        
-      nop.i 999 ;; 
+(p9)  fma.s1     tan_dsq = tan_d, tan_d, f0
+      nop.i 999 ;;
 }
 
 
 { .mfi
       nop.m 999
-(p9)  fma.s1  tan_z10 = tan_z12, tan_Q10, tan_z11       
-      nop.i 999 
+(p9)  fma.s1  tan_z10 = tan_z12, tan_Q10, tan_z11
+      nop.i 999
 }
 { .mfi
       nop.m 999
-(p9)  fma.s1  tan_z9  = tan_z12, tan_z12,f0             
+(p9)  fma.s1  tan_z9  = tan_z12, tan_z12,f0
       nop.i 999 ;;
 }
 
 
 { .mfi
       nop.m 999
-(p9)  fma.s1  tan_z4 = tan_rsq, tan_Q3, tan_Q2          
-      nop.i 999 
+(p9)  fma.s1  tan_z4 = tan_rsq, tan_Q3, tan_Q2
+      nop.i 999
 }
 { .mfi
       nop.m 999
-(p9)  fma.s1  tan_z6  = tan_z12, tan_z8, tan_z7         
-      nop.i 999 ;; 
+(p9)  fma.s1  tan_z6  = tan_z12, tan_z8, tan_z7
+      nop.i 999 ;;
 }
 
 
 
 { .mfi
       nop.m 999
-(p8)  fma.s1  tan_v10 = tan_v14, tan_v15, tan_v11        
-      nop.i 999 ;; 
+(p8)  fma.s1  tan_v10 = tan_v14, tan_v15, tan_v11
+      nop.i 999 ;;
 }
 
 
 
 { .mfi
       nop.m 999
-(p9)  fma.s1     tan_y2  = tan_y1, tan_d, tan_y0         
-      nop.i 999 
+(p9)  fma.s1     tan_y2  = tan_y1, tan_d, tan_y0
+      nop.i 999
 }
 { .mfi
       nop.m 999
-(p9)  fma.s1     tan_d4  = tan_dsq, tan_dsq, tan_d       
+(p9)  fma.s1     tan_d4  = tan_dsq, tan_dsq, tan_d
       nop.i 999  ;;
 }
 
 
 { .mfi
       nop.m 999
-(p8)  fma.s1  tan_v2 = tan_v14, tan_v6, tan_v3           
+(p8)  fma.s1  tan_v2 = tan_v14, tan_v6, tan_v3
       nop.i 999
 }
 { .mfi
       nop.m 999
-(p8)  fma.s1  tan_v9 = tan_v14, tan_v14, f0              
+(p8)  fma.s1  tan_v9 = tan_v14, tan_v14, f0
       nop.i 999 ;;
 }
 
 
 { .mfi
       nop.m 999
-(p9)  fma.s1  tan_z2  = tan_z12, tan_z4, tan_z3         
-      nop.i 999 
+(p9)  fma.s1  tan_z2  = tan_z12, tan_z4, tan_z3
+      nop.i 999
 }
 { .mfi
       nop.m 999
-(p9)  fma.s1  tan_z5  = tan_z9, tan_z10, tan_z6         
+(p9)  fma.s1  tan_z5  = tan_z9, tan_z10, tan_z6
       nop.i 999  ;;
 }
 
 
 { .mfi
       nop.m 999
-(p9)  fma.s1     tan_inv_r = tan_d4, tan_y2, tan_y0      
-      nop.i 999 
+(p9)  fma.s1     tan_inv_r = tan_d4, tan_y2, tan_y0
+      nop.i 999
 }
 { .mfi
       nop.m 999
@@ -694,12 +714,12 @@ __tan:
 
 { .mfi
       nop.m 999
-(p8)  fma.s1  tan_v1 = tan_v9, tan_v10, tan_v2           
-      nop.i 999 
+(p8)  fma.s1  tan_v1 = tan_v9, tan_v10, tan_v2
+      nop.i 999
 }
 { .mfi
       nop.m 999
-(p9)  fma.s1  tan_z1  = tan_z9, tan_z5, tan_z2          
+(p9)  fma.s1  tan_z1  = tan_z9, tan_z5, tan_z2
       nop.i 999   ;;
 }
 
@@ -707,64 +727,150 @@ __tan:
 
 { .mfi
       nop.m 999
-(p8)  fma.d.s0  f8  = tan_v1, tan_rcube, tan_r             
-      nop.i 999  
+(p8)  fma.d.s0  f8  = tan_v1, tan_rcube, tan_r
+      nop.i 999
 }
 { .mfb
       nop.m 999
-(p9)  fms.d.s0  f8  = tan_r, tan_z1, tan_inv_r        
-      br.ret.sptk    b0 ;;    
+(p9)  fms.d.s0  f8  = tan_r, tan_z1, tan_inv_r
+      br.ret.sptk    b0 ;;
 }
-.endp tan#
-ASM_SIZE_DIRECTIVE(tan)
-
+GLOBAL_IEEE754_END(tan)
 
-.proc __libm_callout
-__libm_callout:
-L(TAN_DBX): 
+LOCAL_LIBM_ENTRY(__libm_callout)
+TAN_DBX:
 .prologue
 
 { .mfi
-        nop.m 0
-     fmerge.s f9 = f0,f0 
-.save   ar.pfs,GR_SAVE_PFS
-        mov  GR_SAVE_PFS=ar.pfs
+      nop.m 0
+      fmerge.s f9 = f0,f0
+.save ar.pfs,GR_SAVE_PFS
+      mov  GR_SAVE_PFS=ar.pfs
 }
 ;;
 
 { .mfi
-        mov GR_SAVE_GP=gp
-        nop.f 0
-.save   b0, GR_SAVE_B0
-        mov GR_SAVE_B0=b0
+      mov GR_SAVE_GP=gp
+      nop.f 0
+.save b0, GR_SAVE_B0
+      mov GR_SAVE_B0=b0
 }
 
 .body
-{ .mfb
+{ .mmb
       nop.m 999
-      nop.f 999
-       br.call.sptk.many  b0=__libm_tan# ;;
+      nop.m 999
+(p11) br.cond.sptk.many  call_tanl ;;
 }
 
+// Here if we should call cotl
+{ .mmb
+      nop.m 999
+      nop.m 999
+      br.call.sptk.many  b0=__libm_cotl# ;;
+}
 
 { .mfi
-       mov gp        = GR_SAVE_GP
-      fnorm.d     f8 = f8
-       mov b0        = GR_SAVE_B0 
+      mov gp        = GR_SAVE_GP
+      fnorm.d.s0 f8 = f8
+      mov b0        = GR_SAVE_B0
 }
 ;;
 
+{ .mib
+      nop.m 999
+      mov ar.pfs    = GR_SAVE_PFS
+      br.ret.sptk     b0
+;;
+}
+
+// Here if we should call tanl
+call_tanl:
+{ .mmb
+      nop.m 999
+      nop.m 999
+      br.call.sptk.many  b0=__libm_tanl# ;;
+}
+
+{ .mfi
+      mov gp        = GR_SAVE_GP
+      fnorm.d.s0 f8 = f8
+      mov b0        = GR_SAVE_B0
+}
+;;
 
 { .mib
-         nop.m 999
+      nop.m 999
       mov ar.pfs    = GR_SAVE_PFS
       br.ret.sptk     b0
 ;;
 }
 
+LOCAL_LIBM_END(__libm_callout)
+
+.type __libm_tanl#,@function
+.global __libm_tanl#
+.type __libm_cotl#,@function
+.global __libm_cotl#
+
+LOCAL_LIBM_ENTRY(__libm_error_region)
+.prologue
+
+// (1)
+{ .mfi
+      add           GR_Parameter_Y=-32,sp        // Parameter 2 value
+      nop.f 0
+.save   ar.pfs,GR_SAVE_PFS
+      mov           GR_SAVE_PFS=ar.pfs           // Save ar.pfs
+}
+{ .mfi
+.fframe 64
+      add sp=-64,sp                              // Create new stack
+      nop.f 0
+      mov GR_SAVE_GP=gp                          // Save gp
+};;
+
+// (2)
+{ .mmi
+      stfd [GR_Parameter_Y] = f1,16              // STORE Parameter 2 on stack
+      add GR_Parameter_X = 16,sp                 // Parameter 1 address
+.save   b0, GR_SAVE_B0
+      mov GR_SAVE_B0=b0                          // Save b0
+};;
+
+.body
+// (3)
+{ .mib
+      stfd [GR_Parameter_X] = arg_copy           // STORE Parameter 1 on stack
+      add   GR_Parameter_RESULT = 0,GR_Parameter_Y  // Parameter 3 address
+      nop.b 0
+}
+{ .mib
+      stfd [GR_Parameter_Y] = f8                 // STORE Parameter 3 on stack
+      add   GR_Parameter_Y = -16,GR_Parameter_Y
+      br.call.sptk b0=__libm_error_support#      // Call error handling function
+};;
+{ .mmi
+      nop.m 0
+      nop.m 0
+      add   GR_Parameter_RESULT = 48,sp
+};;
+
+// (4)
+{ .mmi
+      ldfd  f8 = [GR_Parameter_RESULT]           // Get return result off stack
+.restore sp
+      add   sp = 64,sp                           // Restore stack pointer
+      mov   b0 = GR_SAVE_B0                      // Restore return address
+};;
+{ .mib
+      mov   gp = GR_SAVE_GP                      // Restore gp
+      mov   ar.pfs = GR_SAVE_PFS                 // Restore ar.pfs
+      br.ret.sptk     b0                         // Return
+};;
+
+LOCAL_LIBM_END(__libm_error_region)
 
-.endp  __libm_callout
-ASM_SIZE_DIRECTIVE(__libm_callout)
+.type   __libm_error_support#,@function
+.global __libm_error_support#
 
-.type __libm_tan#,@function
-.global __libm_tan#
diff --git a/sysdeps/ia64/fpu/s_tanf.S b/sysdeps/ia64/fpu/s_tanf.S
index a84009e2fe..48f82345f9 100644
--- a/sysdeps/ia64/fpu/s_tanf.S
+++ b/sysdeps/ia64/fpu/s_tanf.S
@@ -1,10 +1,10 @@
-.file "tanf.s"
+.file "tancotf.s"
 
-// Copyright (C) 2000, 2001, Intel Corporation
+
+// Copyright (c) 2000 - 2003, Intel Corporation
 // All rights reserved.
-// 
-// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story,
-// and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
 //
 // Redistribution and use in source and binary forms, with or without
 // modification, are permitted provided that the following conditions are
@@ -20,7 +20,7 @@
 // * The name of Intel Corporation may not be used to endorse or promote
 // products derived from this software without specific prior written
 // permission.
-//
+
 // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
 // "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
@@ -32,739 +32,658 @@
 // OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
 // NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 
 // SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 
-// 
+//
 // Intel Corporation is the author of this code, and requests that all
 // problem reports or change requests be submitted to it directly at 
-// http://developer.intel.com/opensource.
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
 //
 // History
 //==============================================================
-// 2/02/00: Initial version
-// 4/04/00  Unwind support added
+// 02/02/00 Initial version
+// 04/04/00 Unwind support added
 // 12/27/00 Improved speed
+// 02/21/01 Updated to call tanl
+// 05/30/02 Improved speed, added cotf.
+// 11/25/02 Added explicit completer on fnorm
+// 02/10/03 Reordered header: .section, .global, .proc, .align
+// 04/17/03 Eliminated redundant stop bits
 //
-// API
+// APIs
 //==============================================================
-// float tan( float x);
+// float tanf(float)
+// float cotf(float)
 //
-// Overview of operation
+// Algorithm Description for tanf
 //==============================================================
-// If the input value in radians is |x| >= 1.xxxxx 2^10 call the
-// older slower version.
+// The tanf function computes the principle value of the tangent of x,
+// where x is radian argument.
 //
-// The new algorithm is used when |x| <= 1.xxxxx 2^9.
+// There are 5 paths:
+// 1. x = +/-0.0
+//    Return tanf(x) = +/-0.0
 //
-// Represent the input X as Nfloat * pi/2 + r
-//    where r can be negative and |r| <= pi/4
+// 2. x = [S,Q]NaN
+//    Return tanf(x) = QNaN
 //
-//     tan_W  = x * 2/pi
-//     Nfloat = round_int(tan_W)
+// 3. x = +/-Inf
+//    Return tanf(x) = QNaN
 //
-//     tan_r  = x - Nfloat * (pi/2)_hi
-//     tan_r  = tan_r - Nfloat * (pi/2)_lo
+// 4. x = r + (Pi/2)*N, N = RoundInt(x*(2/Pi)), N is even, |r|<Pi/4
+//    Return tanf(x) = P19(r) = A1*r + A3*r^3 + A5*r^5 + ... + A19*r^19 =
+//    = r*(A1 + A3*t + A5*t^2 + ... + A19*t^9) = r*P9(t), where t = r^2
 //
-// We have two paths: p8, when Nfloat is even and p9. when Nfloat is odd.
-// p8: tan(X) =  tan(r)
-// p9: tan(X) = -cot(r)
+// 5. x = r + (Pi/2)*N, N = RoundInt(x*(2/Pi)), N is odd, |r|<Pi/4
+//    Return tanf(x) = -1/r + P11(r) = -1/r + B1*r + B3*r^3 + ... + B11*r^11 =
+//    = -1/r + r*(B1 + B3*t + B5*t^2 + ... + B11*t^5) = -1/r + r*P11(t),
+//    where t = r^2
 //
-// Each is evaluated as a series. The p9 path requires 1/r.
+// Algorithm Description for cotf
+//==============================================================
+// The cotf function computes the principle value of the cotangent of x,
+// where x is radian argument.
 //
-// The coefficients used in the series are stored in a table as
-// are the pi constants.
+// There are 5 paths:
+// 1. x = +/-0.0
+//    Return cotf(x) = +/-Inf and error handling is called
 //
-// Registers used
-//==============================================================
+// 2. x = [S,Q]NaN
+//    Return cotf(x) = QNaN
 //
-// predicate registers used:  
-// p6-10
+// 3. x = +/-Inf
+//    Return cotf(x) = QNaN
 //
-// floating-point registers used:  
-// f10-15, f32-105
+// 4. x = r + (Pi/2)*N, N = RoundInt(x*(2/Pi)), N is odd, |r|<Pi/4
+//    Return cotf(x) = P19(-r) = A1*(-r) + A3*(-r^3) + ... + A19*(-r^19) =
+//    = -r*(A1 + A3*t + A5*t^2 + ... + A19*t^9) = -r*P9(t), where t = r^2
+//
+// 5. x = r + (Pi/2)*N, N = RoundInt(x*(2/Pi)), N is even, |r|<Pi/4
+//    Return cotf(x) = 1/r + P11(-r) = 1/r + B1*(-r) + ... + B11*(-r^11) =
+//    = 1/r - r*(B1 + B3*t + B5*t^2 + ... + B11*t^5) = 1/r - r*P11(t),
+//    where t = r^2
+//
+//    We set p10 and clear p11 if computing tanf, vice versa for cotf.
+//
+//
+// Registers used
+//==============================================================
+// Floating Point registers used:
 // f8, input
+// f32 -> f80
 //
-// general registers used
-// r14-18, r32-43
+// General registers used:
+// r14 -> r23, r32 -> r39
+//
+// Predicate registers used:
+// p6 -> p13
 //
-
-#include "libm_support.h"
-
 // Assembly macros
 //==============================================================
-TAN_INV_PI_BY_2_2TO64        = f10
-TAN_RSHF_2TO64               = f11
-TAN_2TOM64                   = f12
-TAN_RSHF                     = f13
-TAN_W_2TO64_RSH              = f14
-TAN_NFLOAT                   = f15
-
-tan_Inv_Pi_by_2              = f32
-tan_Pi_by_2_hi               = f33
-tan_Pi_by_2_lo               = f34
-
-
-tan_P0                       = f35
-tan_P1                       = f36
-tan_P2                       = f37
-tan_P3                       = f38 
-tan_P4                       = f39 
-tan_P5                       = f40 
-tan_P6                       = f41
-tan_P7                       = f42
-tan_P8                       = f43 
-tan_P9                       = f44 
-tan_P10                      = f45 
-tan_P11                      = f46
-tan_P12                      = f47 
-tan_P13                      = f48
-tan_P14                      = f49
-tan_P15                      = f50
-
-tan_Q0                       = f51 
-tan_Q1                       = f52 
-tan_Q2                       = f53 
-tan_Q3                       = f54 
-tan_Q4                       = f55 
-tan_Q5                       = f56 
-tan_Q6                       = f57 
-tan_Q7                       = f58 
-tan_Q8                       = f59
-tan_Q9                       = f60
-tan_Q10                      = f61
-
-tan_r                        = f62
-tan_rsq                      = f63
-tan_rcube                    = f64
-
-tan_v18                      = f65
-tan_v16                      = f66
-tan_v17                      = f67
-tan_v12                      = f68
-tan_v13                      = f69
-tan_v7                       = f70
-tan_v8                       = f71
-tan_v4                       = f72
-tan_v5                       = f73
-tan_v15                      = f74
-tan_v11                      = f75
-tan_v14                      = f76
-tan_v3                       = f77
-tan_v6                       = f78
-tan_v10                      = f79
-tan_v2                       = f80
-tan_v9                       = f81
-tan_v1                       = f82
-tan_int_Nfloat               = f83 
-tan_Nfloat                   = f84 
-
-tan_NORM_f8                  = f85 
-tan_W                        = f86
-
-tan_y0                       = f87
-tan_d                        = f88 
-tan_y1                       = f89 
-tan_dsq                      = f90 
-tan_y2                       = f91 
-tan_d4                       = f92 
-tan_inv_r                    = f93 
-
-tan_z1                       = f94
-tan_z2                       = f95
-tan_z3                       = f96
-tan_z4                       = f97
-tan_z5                       = f98
-tan_z6                       = f99
-tan_z7                       = f100
-tan_z8                       = f101
-tan_z9                       = f102
-tan_z10                      = f103
-tan_z11                      = f104
-tan_z12                      = f105
-
-
-/////////////////////////////////////////////////////////////
-
-tan_GR_sig_inv_pi_by_2       = r14
-tan_GR_rshf_2to64            = r15
-tan_GR_exp_2tom64            = r16
-tan_GR_n                     = r17
-tan_GR_rshf                  = r18
-
-tan_AD                       = r33
-tan_GR_10009                 = r34 
-tan_GR_17_ones               = r35 
-tan_GR_N_odd_even            = r36 
-tan_GR_N                     = r37 
-tan_signexp                  = r38
-tan_exp                      = r39
-tan_ADQ                      = r40
-
-GR_SAVE_PFS                  = r41 
-GR_SAVE_B0                   = r42       
-GR_SAVE_GP                   = r43      
-
-
-#ifdef _LIBC
-.rodata
-#else
-.data
-#endif
+// integer registers
+rExp                        = r14
+rSignMask                   = r15
+rRshf                       = r16
+rScFctrExp                  = r17
+rIntN                       = r18
+rSigRcpPiby2                = r19
+rScRshf                     = r20
+rCoeffA                     = r21
+rCoeffB                     = r22
+rExpCut                     = r23
+
+GR_SAVE_B0                  = r33
+GR_SAVE_PFS                 = r34
+GR_SAVE_GP                  = r35
+GR_Parameter_X              = r36
+GR_Parameter_Y              = r37
+GR_Parameter_RESULT         = r38
+GR_Parameter_Tag            = r39
+
+//==============================================================
+// floating point registers
+fScRcpPiby2                 = f32
+fScRshf                     = f33
+fNormArg                    = f34
+fScFctr                     = f35
+fRshf                       = f36
+fShiftedN                   = f37
+fN                          = f38
+fR                          = f39
+fA01                        = f40
+fA03                        = f41
+fA05                        = f42
+fA07                        = f43
+fA09                        = f44
+fA11                        = f45
+fA13                        = f46
+fA15                        = f47
+fA17                        = f48
+fA19                        = f49
+fB01                        = f50
+fB03                        = f51
+fB05                        = f52
+fB07                        = f53
+fB09                        = f54
+fB11                        = f55
+fA03_01                     = f56
+fA07_05                     = f57
+fA11_09                     = f58
+fA15_13                     = f59
+fA19_17                     = f60
+fA11_05                     = f61
+fA19_13                     = f62
+fA19_05                     = f63
+fRbyA03_01                  = f64
+fB03_01                     = f65
+fB07_05                     = f66
+fB11_09                     = f67
+fB11_05                     = f68
+fRbyB03_01                  = f69
+fRbyB11_01                  = f70
+fRp2                        = f71
+fRp4                        = f72
+fRp8                        = f73
+fRp5                        = f74
+fY0                         = f75
+fY1                         = f76
+fD                          = f77
+fDp2                        = f78
+fInvR                       = f79
+fPiby2                      = f80
+//==============================================================
 
-.align 16
 
-double_tan_constants:
-ASM_TYPE_DIRECTIVE(double_tan_constants,@object)
-//   data8 0xA2F9836E4E44152A, 0x00003FFE // 2/pi
-   data8 0xC90FDAA22168C234, 0x00003FFF // pi/2 hi
-
-   data8 0xBEEA54580DDEA0E1 // P14 
-   data8 0x3ED3021ACE749A59 // P15
-   data8 0xBEF312BD91DC8DA1 // P12 
-   data8 0x3EFAE9AFC14C5119 // P13
-   data8 0x3F2F342BF411E769 // P8
-   data8 0x3F1A60FC9F3B0227 // P9
-   data8 0x3EFF246E78E5E45B // P10
-   data8 0x3F01D9D2E782875C // P11
-   data8 0x3F8226E34C4499B6 // P4
-   data8 0x3F6D6D3F12C236AC // P5
-   data8 0x3F57DA1146DCFD8B // P6
-   data8 0x3F43576410FE3D75 // P7
-   data8 0x3FD5555555555555 // P0
-   data8 0x3FC11111111111C2 // P1
-   data8 0x3FABA1BA1BA0E850 // P2
-   data8 0x3F9664F4886725A7 // P3
-ASM_SIZE_DIRECTIVE(double_tan_constants)
-
-double_Q_tan_constants:
-ASM_TYPE_DIRECTIVE(double_Q_tan_constants,@object)
-   data8 0xC4C6628B80DC1CD1, 0x00003FBF // pi/2 lo
-   data8 0x3E223A73BA576E48 // Q8
-   data8 0x3DF54AD8D1F2CA43 // Q9
-   data8 0x3EF66A8EE529A6AA // Q4
-   data8 0x3EC2281050410EE6 // Q5
-   data8 0x3E8D6BB992CC3CF5 // Q6
-   data8 0x3E57F88DE34832E4 // Q7
-   data8 0x3FD5555555555555 // Q0
-   data8 0x3F96C16C16C16DB8 // Q1
-   data8 0x3F61566ABBFFB489 // Q2
-   data8 0x3F2BBD77945C1733 // Q3
-   data8 0x3D927FB33E2B0E04 // Q10
-ASM_SIZE_DIRECTIVE(double_Q_tan_constants)
-
-
-   
-.align 32
-.global tanf#
-#ifdef _LIBC
-.global __tanf#
-#endif
-
-////////////////////////////////////////////////////////
+RODATA
+.align 16
 
+LOCAL_OBJECT_START(coeff_A)
+data8 0x3FF0000000000000 // A1  = 1.00000000000000000000e+00
+data8 0x3FD5555556BCE758 // A3  = 3.33333334641442641606e-01
+data8 0x3FC111105C2DAE48 // A5  = 1.33333249100689099175e-01
+data8 0x3FABA1F876341060 // A7  = 5.39701122561673229739e-02
+data8 0x3F965FB86D12A38D // A9  = 2.18495194027670719750e-02
+data8 0x3F8265F62415F9D6 // A11 = 8.98353860497717439465e-03
+data8 0x3F69E3AE64CCF58D // A13 = 3.16032468108912746342e-03
+data8 0x3F63920D09D0E6F6 // A15 = 2.38897844840557235331e-03
+LOCAL_OBJECT_END(coeff_A)
+
+LOCAL_OBJECT_START(coeff_B)
+data8 0xC90FDAA22168C235, 0x3FFF // pi/2
+data8 0x3FD55555555358DB // B1  = 3.33333333326107426583e-01
+data8 0x3F96C16C252F643F // B3  = 2.22222230621336129239e-02
+data8 0x3F61566243AB3C60 // B5  = 2.11638633968606896785e-03
+data8 0x3F2BC1169BD4438B // B7  = 2.11748132564551094391e-04
+data8 0x3EF611B4CEA056A1 // B9  = 2.10467959860990200942e-05
+data8 0x3EC600F9E32194BF // B11 = 2.62305891234274186608e-06
+data8 0xBF42BA7BCC177616 // A17 =-5.71546981685324877205e-04
+data8 0x3F4F2614BC6D3BB8 // A19 = 9.50584530849832782542e-04
+LOCAL_OBJECT_END(coeff_B)
 
 
 .section .text
-.proc  tanf#
-#ifdef _LIBC
-.proc  __tanf#
-#endif
-.align 32
-tanf:
-#ifdef _LIBC
-__tanf:
-#endif
-// The initial fnorm will take any unmasked faults and
-// normalize any single/double unorms
+
+LOCAL_LIBM_ENTRY(cotf)
 
 { .mlx
-      alloc          r32=ar.pfs,1,11,0,0               
-      movl tan_GR_sig_inv_pi_by_2 = 0xA2F9836E4E44152A // significand of 2/pi
+      getf.exp  rExp        = f8                    // ***** Get 2ˆ17 * s + E
+      movl      rSigRcpPiby2= 0xA2F9836E4E44152A    // significand of 2/Pi
 }
 { .mlx
-      addl           tan_AD   = @ltoff(double_tan_constants), gp
-      movl tan_GR_rshf_2to64 = 0x47e8000000000000 // 1.1000 2^(63+63+1)
+      addl      rCoeffA     = @ltoff(coeff_A), gp
+      movl      rScRshf     = 0x47e8000000000000    // 1.5*2^(63+63+1)
 }
 ;;
 
 { .mfi
-      ld8 tan_AD = [tan_AD]
-      fnorm     tan_NORM_f8  = f8                      
-      mov tan_GR_exp_2tom64 = 0xffff-64 // exponent of scaling factor 2^-64
+      alloc     r32         = ar.pfs, 0, 4, 4, 0
+      fclass.m  p9, p0      = f8, 0xc3              // Test for x=nan
+      cmp.eq    p11, p10    = r0, r0                // if p11=1 we compute cotf
 }
-{ .mlx
-      nop.m 999
-      movl tan_GR_rshf = 0x43e8000000000000 // 1.1000 2^63 for right shift
+{ .mib
+      ld8       rCoeffA     = [rCoeffA]
+      mov       rExpCut     = 0x10009               // cutoff for exponent
+      br.cond.sptk Common_Path
 }
 ;;
 
+LOCAL_LIBM_END(cotf)
 
-// Form two constants we need
-//   2/pi * 2^1 * 2^63, scaled by 2^64 since we just loaded the significand
-//   1.1000...000 * 2^(63+63+1) to right shift int(W) into the significand
-{ .mmi
-      setf.sig TAN_INV_PI_BY_2_2TO64 = tan_GR_sig_inv_pi_by_2
-      setf.d TAN_RSHF_2TO64 = tan_GR_rshf_2to64
-      mov       tan_GR_17_ones     = 0x1ffff             ;;
-}
-
+GLOBAL_IEEE754_ENTRY(tanf)
 
-// Form another constant
-//   2^-64 for scaling Nfloat
-//   1.1000...000 * 2^63, the right shift constant
-{ .mmf
-      setf.exp TAN_2TOM64 = tan_GR_exp_2tom64
-      adds tan_ADQ = double_Q_tan_constants - double_tan_constants, tan_AD
-      fclass.m.unc  p6,p0 = f8, 0x07  // Test for x=0
+{ .mlx
+      getf.exp  rExp        = f8                    // ***** Get 2ˆ17 * s + E
+      movl      rSigRcpPiby2= 0xA2F9836E4E44152A    // significand of 2/Pi
 }
-;;
-
-
-// Form another constant
-//   2^-64 for scaling Nfloat
-//   1.1000...000 * 2^63, the right shift constant
-{ .mmf
-      setf.d TAN_RSHF = tan_GR_rshf
-      ldfe      tan_Pi_by_2_hi = [tan_AD],16 
-      fclass.m.unc  p7,p0 = f8, 0x23  // Test for x=inf
+{ .mlx
+      addl      rCoeffA     = @ltoff(coeff_A), gp
+      movl      rScRshf     = 0x47e8000000000000    // 1.5*2^(63+63+1)
 }
 ;;
 
-{ .mfb
-      ldfe      tan_Pi_by_2_lo = [tan_ADQ],16           
-      fclass.m.unc  p8,p0 = f8, 0xc3  // Test for x=nan
-(p6)  br.ret.spnt    b0    ;;         // Exit for x=0
-}
-
 { .mfi
-      ldfpd     tan_P14,tan_P15 = [tan_AD],16                         
-(p7)  frcpa.s0  f8,p9=f0,f0           // Set qnan indef if x=inf
-      mov       tan_GR_10009 = 0x10009
+      alloc     r32         = ar.pfs, 0, 4, 4, 0
+      fclass.m  p9, p0      = f8, 0xc3              // Test for x=nan
+      cmp.eq    p10, p11    = r0, r0                // if p10=1 we compute tandf
 }
 { .mib
-      ldfpd      tan_Q8,tan_Q9  = [tan_ADQ],16                        
-      nop.i 999
-(p7)  br.ret.spnt    b0    ;;         // Exit for x=inf
+      ld8       rCoeffA     = [rCoeffA]
+      mov       rExpCut     = 0x10009               // cutoff for exponent
+      nop.b     0
 }
+;;
 
+// Below is common path for both tandf and cotdf
+Common_Path:
 { .mfi
-      ldfpd      tan_P12,tan_P13 = [tan_AD],16                         
-(p8)  fma.s f8=f8,f1,f8               // Set qnan if x=nan
-      nop.i 999
+      setf.sig  fScRcpPiby2 = rSigRcpPiby2          // 2^(63+1)*(2/Pi)
+      fclass.m  p8, p0      = f8, 0x23              // Test for x=inf
+      mov       rSignMask   = 0x1ffff               // mask for sign bit
 }
-{ .mib
-      ldfpd      tan_Q4,tan_Q5  = [tan_ADQ],16                        
-      nop.i 999
-(p8)  br.ret.spnt    b0    ;;         // Exit for x=nan
+{ .mlx
+      setf.d    fScRshf     = rScRshf               // 1.5*2^(63+63+1)
+      movl      rRshf       = 0x43e8000000000000    // 1.5 2^63 for right shift
 }
+;;
 
-{ .mmi
-      getf.exp  tan_signexp    = tan_NORM_f8                 
-      ldfpd      tan_P8,tan_P9  = [tan_AD],16                         
-      nop.i 999 ;;
+{ .mfi
+      and       rSignMask   = rSignMask, rExp       // clear sign bit
+(p10) fclass.m.unc p7, p0   = f8, 0x07              // Test for x=0 (for tanf)
+      mov       rScFctrExp  = 0xffff-64             // exp of scaling factor
+}
+{ .mfb
+      adds      rCoeffB     = coeff_B - coeff_A, rCoeffA
+(p9)  fma.s.s0  f8          = f8, f1, f8            // Set qnan if x=nan
+(p9)  br.ret.spnt b0                                // Exit for x=nan
 }
+;;
 
-// Multiply x by scaled 2/pi and add large const to shift integer part of W to 
-//   rightmost bits of significand
 { .mfi
-      ldfpd      tan_Q6,tan_Q7  = [tan_ADQ],16
-      fma.s1 TAN_W_2TO64_RSH = tan_NORM_f8,TAN_INV_PI_BY_2_2TO64,TAN_RSHF_2TO64
-      nop.i 999 ;;
+      cmp.ge    p6, p0      = rSignMask, rExpCut    // p6 = (E => 0x10009)
+(p8)  frcpa.s0  f8, p0      = f0, f0                // Set qnan indef if x=inf
+      mov GR_Parameter_Tag  = 227                   // (cotf)
 }
-
-{ .mmi
-      ldfpd      tan_P10,tan_P11 = [tan_AD],16                         
-      nop.m 999
-      and       tan_exp = tan_GR_17_ones, tan_signexp         ;;
+{ .mbb
+      ldfe      fPiby2      = [rCoeffB], 16
+(p8)  br.ret.spnt b0                                // Exit for x=inf
+(p6)  br.cond.spnt Huge_Argument                    // Branch if |x|>=2^10
 }
+;;
 
+{ .mfi
+      nop.m     0
+(p11) fclass.m.unc p6, p0   = f8, 0x07              // Test for x=0 (for cotf)
+      nop.i     0
+}
+{ .mfb
+      nop.m     0
+      fnorm.s0  fNormArg    = f8
+(p7)  br.ret.spnt b0                                // Exit for x=0 (for tanf)
+}
+;;
 
-// p7 is true if we must call DBX TAN
-// p7 is true if f8 exp is > 0x10009 (which includes all ones
-//    NAN or inf)
-{ .mmi
-      ldfpd      tan_Q0,tan_Q1  = [tan_ADQ],16                         
-      cmp.ge.unc  p7,p0 = tan_exp,tan_GR_10009               
-      nop.i 999 ;;
+{ .mmf
+      ldfpd     fA01, fA03  = [rCoeffA], 16
+      ldfpd     fB01, fB03  = [rCoeffB], 16
+      fmerge.s  f10         = f8, f8                // Save input for error call
 }
+;;
 
+{ .mmf
+      setf.exp  fScFctr     = rScFctrExp            // get as real
+      setf.d    fRshf       = rRshf                 // get right shifter as real
+(p6)  frcpa.s0  f8, p0      = f1, f8                // cotf(+-0) = +-Inf
+}
+;;
 
 { .mmb
-      ldfpd      tan_P4,tan_P5  = [tan_AD],16                         
-      nop.m 999
-(p7)  br.cond.spnt   L(TAN_DBX) ;;                                  
+      ldfpd     fA05, fA07  = [rCoeffA], 16
+      ldfpd     fB05, fB07  = [rCoeffB], 16
+(p6)  br.cond.spnt __libm_error_region    // call error support if cotf(+-0)
 }
-
+;;
 
 { .mmi
-      ldfpd      tan_Q2,tan_Q3  = [tan_ADQ],16                         
-      nop.m 999
-      nop.i 999 ;;
-}
-
-
-
-// TAN_NFLOAT = Round_Int_Nearest(tan_W)
-{ .mfi
-      ldfpd      tan_P6,tan_P7  = [tan_AD],16                         
-      fms.s1 TAN_NFLOAT = TAN_W_2TO64_RSH,TAN_2TOM64,TAN_RSHF      
-      nop.i 999 ;;
+      ldfpd     fA09, fA11  = [rCoeffA], 16
+      ldfpd     fB09, fB11  = [rCoeffB], 16
+      nop.i     0
 }
-
+;;
 
 { .mfi
-      ldfd      tan_Q10 = [tan_ADQ]
-      nop.f 999
-      nop.i 999 ;;
+      nop.m     0
+      fma.s1    fShiftedN = fNormArg,fScRcpPiby2,fScRshf // x*2^70*(2/Pi)+ScRshf
+      nop.i     0
 }
-
+;;
 
 { .mfi
-      ldfpd      tan_P0,tan_P1  = [tan_AD],16                         
-      nop.f 999
-      nop.i 999 ;;
+      nop.m     0
+      fms.s1    fN          = fShiftedN, fScFctr, fRshf // N = Y*2^(-70) - Rshf
+      nop.i     0
 }
+;;
 
-
+.pred.rel "mutex", p10, p11
 { .mfi
-      getf.sig    tan_GR_n = TAN_W_2TO64_RSH
-      nop.f 999
-      nop.i 999 ;;
+      getf.sig  rIntN       = fShiftedN             // get N as integer
+(p10) fnma.s1   fR          = fN, fPiby2, fNormArg  // R = x - (Pi/2)*N (tanf)
+      nop.i     0
 }
-
-// tan_r          = -tan_Nfloat * tan_Pi_by_2_hi + x
 { .mfi
-      ldfpd      tan_P2,tan_P3  = [tan_AD]
-      fnma.s1  tan_r      = TAN_NFLOAT, tan_Pi_by_2_hi,  tan_NORM_f8         
-      nop.i 999 ;;
+      nop.m     0
+(p11) fms.s1    fR          = fN, fPiby2, fNormArg  // R = (Pi/2)*N - x (cotf)
+      nop.i     0
 }
+;;
 
-
-// p8 ==> even
-// p9 ==> odd
 { .mmi
-      and         tan_GR_N_odd_even = 0x1, tan_GR_n ;;          
-      nop.m 999
-      cmp.eq.unc  p8,p9          = tan_GR_N_odd_even, r0      ;;
+      ldfpd     fA13, fA15  = [rCoeffA], 16
+      ldfpd     fA17, fA19  = [rCoeffB], 16
+      nop.i     0
 }
+;;
 
-
-// tan_r          = tan_r -tan_Nfloat * tan_Pi_by_2_lo 
-{ .mfi
-      nop.m 999
-      fnma.s1  tan_r      = TAN_NFLOAT, tan_Pi_by_2_lo,  tan_r      
-      nop.i 999 ;;
-}
-
-
+Return_From_Huges:
 { .mfi
-      nop.m 999
-      fma.s1   tan_rsq    = tan_r, tan_r,   f0                      
-      nop.i 999 ;;
+      nop.m     0
+      fma.s1    fRp2        = fR, fR, f0            // R^2
+(p11) add       rIntN       = 0x1, rIntN            // N = N + 1 (cotf)
 }
-
+;;
 
 { .mfi
-      nop.m 999
-(p9)  frcpa.s1   tan_y0, p10 = f1,tan_r                  
-      nop.i 999  ;;
+      nop.m     0
+      frcpa.s1  fY0, p0     = f1, fR                // Y0 ~ 1/R
+      tbit.z    p8, p9      = rIntN, 0              // p8=1 if N is even
 }
+;;
 
-
+// Below are mixed polynomial calculations (mixed for even and odd N)
 { .mfi
-      nop.m 999
-(p8)  fma.s1  tan_v18 = tan_rsq, tan_P15, tan_P14        
-      nop.i 999
+      nop.m     0
+(p9)  fma.s1    fB03_01     = fRp2, fB03, fB01      // R^2*B3 + B1
+      nop.i     0
 }
 { .mfi
-      nop.m 999
-(p8)  fma.s1  tan_v4  = tan_rsq, tan_P1, tan_P0          
-      nop.i 999  ;;
+      nop.m     0
+      fma.s1    fRp4        = fRp2, fRp2, f0        // R^4
+      nop.i     0
 }
-
-
+;;
 
 { .mfi
-      nop.m 999
-(p8)  fma.s1  tan_v16 = tan_rsq, tan_P13, tan_P12        
-      nop.i 999 
+      nop.m     0
+(p8)  fma.s1    fA15_13     = fRp2, fA15, fA13      // R^2*A15 + A13
+      nop.i     0
 }
 { .mfi
-      nop.m 999
-(p8)  fma.s1  tan_v17 = tan_rsq, tan_rsq, f0             
-      nop.i 999 ;;
+      nop.m     0
+(p8)  fma.s1    fA19_17     = fRp2, fA19, fA17      // R^2*A19 + A17
+      nop.i     0
 }
-
-
+;;
 
 { .mfi
-      nop.m 999
-(p8)  fma.s1  tan_v12 = tan_rsq, tan_P9, tan_P8          
-      nop.i 999 
+      nop.m     0
+(p8)  fma.s1    fA07_05     = fRp2, fA07, fA05      // R^2*A7 + A5
+      nop.i     0
 }
 { .mfi
-      nop.m 999
-(p8)  fma.s1  tan_v13 = tan_rsq, tan_P11, tan_P10        
-      nop.i 999 ;;
+      nop.m     0
+(p8)  fma.s1    fA11_09     = fRp2, fA11, fA09      // R^2*A11 + A9
+      nop.i     0
 }
-
-
+;;
 
 { .mfi
-      nop.m 999
-(p8)  fma.s1  tan_v7  = tan_rsq, tan_P5, tan_P4          
-      nop.i 999 
+      nop.m     0
+(p9)  fma.s1    fB07_05     = fRp2, fB07, fB05      // R^2*B7 + B5
+      nop.i     0
 }
 { .mfi
-      nop.m 999
-(p8)  fma.s1  tan_v8  = tan_rsq, tan_P7, tan_P6          
-      nop.i 999 ;;
+      nop.m     0
+(p9)  fma.s1    fB11_09     = fRp2, fB11, fB09      // R^2*B11 + B9
+      nop.i     0
 }
-
-
+;;
 
 { .mfi
-      nop.m 999
-(p9)  fnma.s1    tan_d   = tan_r, tan_y0, f1   
-      nop.i 999 
+      nop.m     0
+(p9)  fnma.s1   fD          = fR, fY0, f1           // D = 1 - R*Y0
+      nop.i     0
 }
 { .mfi
-      nop.m 999
-(p8)  fma.s1  tan_v5  = tan_rsq, tan_P3, tan_P2          
-      nop.i 999 ;;
+      nop.m     0
+(p8)  fma.s1    fA03_01     = fRp2, fA03, fA01      // R^2*A3 + A1
+      nop.i     0
 }
-
-
+;;
 
 { .mfi
-      nop.m 999
-(p9)  fma.s1  tan_z11 = tan_rsq, tan_Q9, tan_Q8         
-      nop.i 999
+      nop.m     0
+      fma.s1    fRp8        = fRp4, fRp4, f0        // R^8
+      nop.i     0
 }
 { .mfi
-      nop.m 999
-(p9)  fma.s1  tan_z12 = tan_rsq, tan_rsq, f0            
-      nop.i 999 ;;
+      nop.m     0
+      fma.s1    fRp5        = fR, fRp4, f0          // R^5
+      nop.i     0
 }
-
+;;
 
 { .mfi
-      nop.m 999
-(p8)  fma.s1  tan_v15 = tan_v17, tan_v18, tan_v16        
-      nop.i 999 
+      nop.m     0
+(p8)  fma.s1    fA11_05     = fRp4, fA11_09, fA07_05 // R^4*(R^2*A11 + A9) + ...
+      nop.i     0
 }
 { .mfi
-      nop.m 999
-(p9)  fma.s1  tan_z7 = tan_rsq, tan_Q5, tan_Q4          
-      nop.i 999 ;;
+      nop.m     0
+(p8)  fma.s1    fA19_13     = fRp4, fA19_17, fA15_13 // R^4*(R^2*A19 + A17) + ..
+      nop.i     0
 }
-
+;;
 
 { .mfi
-      nop.m 999
-(p8)  fma.s1  tan_v11 = tan_v17, tan_v13, tan_v12        
-      nop.i 999
+      nop.m     0
+(p9)  fma.s1    fB11_05     = fRp4, fB11_09, fB07_05 // R^4*(R^2*B11 + B9) + ...
+      nop.i     0
 }
 { .mfi
-      nop.m 999
-(p9)  fma.s1  tan_z8 = tan_rsq, tan_Q7, tan_Q6          
-      nop.i 999 ;;
+      nop.m     0
+(p9)  fma.s1    fRbyB03_01  = fR, fB03_01, f0       // R*(R^2*B3 + B1)
+      nop.i     0
 }
-
-
+;;
 
 { .mfi
-      nop.m 999
-(p8)  fma.s1  tan_v14 = tan_v17, tan_v17, f0             
-      nop.i 999 
+      nop.m     0
+(p9)  fma.s1    fY1         = fY0, fD, fY0          // Y1 = Y0*D + Y0
+      nop.i     0
 }
 { .mfi
-      nop.m 999
-(p9)  fma.s1  tan_z3 = tan_rsq, tan_Q1, tan_Q0          
-      nop.i 999 ;; 
+      nop.m     0
+(p9)  fma.s1    fDp2        = fD, fD, f0            // D^2
+      nop.i     0
 }
-
-
-
+;;
 
 { .mfi
-      nop.m 999
-(p8)  fma.s1  tan_v3 = tan_v17, tan_v5, tan_v4           
-      nop.i 999
+      nop.m     0
+   // R^8*(R^6*A19 + R^4*A17 + R^2*A15 + A13) + R^6*A11 + R^4*A9 + R^2*A7 + A5
+(p8)  fma.d.s1  fA19_05     = fRp8, fA19_13, fA11_05
+      nop.i     0
 }
 { .mfi
-      nop.m 999
-(p8)  fma.s1  tan_v6 = tan_v17, tan_v8, tan_v7           
-      nop.i 999 ;;
+      nop.m     0
+(p8)  fma.d.s1  fRbyA03_01  = fR, fA03_01, f0       // R*(R^2*A3 + A1)
+      nop.i     0
 }
-
-
+;;
 
 { .mfi
-      nop.m 999
-(p9)  fma.s1     tan_y1  = tan_y0, tan_d, tan_y0    
-      nop.i 999 
+      nop.m     0
+(p9)  fma.d.s1  fInvR       = fY1, fDp2, fY1        // 1/R = Y1*D^2 + Y1
+      nop.i     0
 }
 { .mfi
-      nop.m 999
-(p9)  fma.s1     tan_dsq = tan_d, tan_d, f0        
-      nop.i 999 ;; 
+      nop.m     0
+   // R^5*(R^6*B11 + R^4*B9 + R^2*B7 + B5) + R^3*B3 + R*B1
+(p9)  fma.d.s1  fRbyB11_01  = fRp5, fB11_05, fRbyB03_01
+      nop.i     0
 }
+;;
 
-
+.pred.rel "mutex", p8, p9
 { .mfi
-      nop.m 999
-(p9)  fma.s1  tan_z10 = tan_z12, tan_Q10, tan_z11       
-      nop.i 999 
+      nop.m     0
+   // Result = R^5*(R^14*A19 + R^12*A17 + R^10*A15 + ...) + R^3*A3 + R*A1
+(p8)  fma.s.s0  f8          = fRp5, fA19_05, fRbyA03_01
+      nop.i 0
 }
-{ .mfi
-      nop.m 999
-(p9)  fma.s1  tan_z9  = tan_z12, tan_z12,f0             
-      nop.i 999 ;;
+{ .mfb
+      nop.m     0
+   // Result = -1/R + R^11*B11 + R^9*B9 + R^7*B7 + R^5*B5 + R^3*B3 + R*B1
+(p9)  fnma.s.s0 f8          = f1, fInvR, fRbyB11_01
+      br.ret.sptk b0                                // exit for main path
 }
+;;
 
+GLOBAL_IEEE754_END(tanf)
+
+LOCAL_LIBM_ENTRY(__libm_callout)
+Huge_Argument:
+.prologue
 
 { .mfi
-      nop.m 999
-(p9)  fma.s1  tan_z4 = tan_rsq, tan_Q3, tan_Q2          
-      nop.i 999 
-}
-{ .mfi
-      nop.m 999
-(p9)  fma.s1  tan_z6  = tan_z12, tan_z8, tan_z7         
-      nop.i 999 ;; 
+      nop.m 0
+      fmerge.s f9 = f0,f0
+.save ar.pfs,GR_SAVE_PFS
+      mov  GR_SAVE_PFS=ar.pfs
 }
-
-
+;;
 
 { .mfi
-      nop.m 999
-(p8)  fma.s1  tan_v10 = tan_v14, tan_v15, tan_v11        
-      nop.i 999 ;; 
+      mov GR_SAVE_GP=gp
+      nop.f 0
+.save b0, GR_SAVE_B0
+      mov GR_SAVE_B0=b0
 }
 
-
-
-{ .mfi
+.body
+{ .mmb
       nop.m 999
-(p9)  fma.s1     tan_y2  = tan_y1, tan_d, tan_y0         
-      nop.i 999 
-}
-{ .mfi
       nop.m 999
-(p9)  fma.s1     tan_d4  = tan_dsq, tan_dsq, tan_d       
-      nop.i 999  ;;
+(p10) br.cond.sptk.many  call_tanl ;;
 }
 
-
-{ .mfi
+// Here if we should call cotl (p10=0, p11=1)
+{ .mmb
       nop.m 999
-(p8)  fma.s1  tan_v2 = tan_v14, tan_v6, tan_v3           
-      nop.i 999
-}
-{ .mfi
       nop.m 999
-(p8)  fma.s1  tan_v9 = tan_v14, tan_v14, f0              
-      nop.i 999 ;;
+      br.call.sptk.many  b0=__libm_cotl# ;;
 }
 
-
 { .mfi
-      nop.m 999
-(p9)  fma.s1  tan_z2  = tan_z12, tan_z4, tan_z3         
-      nop.i 999 
+      mov gp        = GR_SAVE_GP
+      fnorm.s.s0 f8 = f8
+      mov b0        = GR_SAVE_B0
 }
-{ .mfi
+;;
+
+{ .mib
       nop.m 999
-(p9)  fma.s1  tan_z5  = tan_z9, tan_z10, tan_z6         
-      nop.i 999  ;;
+      mov ar.pfs    = GR_SAVE_PFS
+      br.ret.sptk     b0
+;;
 }
 
-
-{ .mfi
+// Here if we should call tanl (p10=1, p11=0)
+call_tanl:
+{ .mmb
       nop.m 999
-(p9)  fma.s1     tan_inv_r = tan_d4, tan_y2, tan_y0      
-      nop.i 999 
-}
-{ .mfi
       nop.m 999
-(p8)  fma.s1   tan_rcube  = tan_rsq, tan_r,   f0
-      nop.i 999  ;;
+      br.call.sptk.many  b0=__libm_tanl# ;;
 }
 
-
-
 { .mfi
-      nop.m 999
-(p8)  fma.s1  tan_v1 = tan_v9, tan_v10, tan_v2           
-      nop.i 999 
+      mov gp        = GR_SAVE_GP
+      fnorm.s.s0 f8 = f8
+      mov b0        = GR_SAVE_B0
 }
-{ .mfi
+;;
+
+{ .mib
       nop.m 999
-(p9)  fma.s1  tan_z1  = tan_z9, tan_z5, tan_z2          
-      nop.i 999   ;;
+      mov ar.pfs    = GR_SAVE_PFS
+      br.ret.sptk     b0
+;;
 }
 
+LOCAL_LIBM_END(__libm_callout)
 
-
-{ .mfi
-      nop.m 999
-(p8)  fma.s.s0  f8  = tan_v1, tan_rcube, tan_r             
-      nop.i 999  
-}
-{ .mfb
-      nop.m 999
-(p9)  fms.s.s0  f8  = tan_r, tan_z1, tan_inv_r        
-      br.ret.sptk    b0 ;;    
-}
-.endp tanf#
-ASM_SIZE_DIRECTIVE(tanf#)
+.type __libm_tanl#,@function
+.global __libm_tanl#
+.type __libm_cotl#,@function
+.global __libm_cotl#
 
 
-.proc __libm_callout
-__libm_callout:
-L(TAN_DBX): 
+LOCAL_LIBM_ENTRY(__libm_error_region)
 .prologue
 
+// (1)
 { .mfi
-        nop.m 0
-     fmerge.s f9 = f0,f0 
+      add           GR_Parameter_Y=-32,sp        // Parameter 2 value
+      nop.f         0
 .save   ar.pfs,GR_SAVE_PFS
-        mov  GR_SAVE_PFS=ar.pfs
+      mov           GR_SAVE_PFS=ar.pfs           // Save ar.pfs
 }
-;;
-
 { .mfi
-        mov GR_SAVE_GP=gp
-        nop.f 0
+.fframe 64
+      add sp=-64,sp                              // Create new stack
+      nop.f 0
+      mov GR_SAVE_GP=gp                          // Save gp
+};;
+
+// (2)
+{ .mmi
+      stfs [GR_Parameter_Y] = f1,16              // STORE Parameter 2 on stack
+      add GR_Parameter_X = 16,sp                 // Parameter 1 address
 .save   b0, GR_SAVE_B0
-        mov GR_SAVE_B0=b0
-}
+      mov GR_SAVE_B0=b0                          // Save b0
+};;
 
 .body
-{ .mfb
-      nop.m 999
-      nop.f 999
-       br.call.sptk.many  b0=__libm_tan# ;;
-}
-
-
-{ .mfi
-       mov gp        = GR_SAVE_GP
-      fnorm.s     f8 = f8
-       mov b0        = GR_SAVE_B0 
+// (3)
+{ .mib
+      stfs [GR_Parameter_X] = f10                // STORE Parameter 1 on stack
+      add   GR_Parameter_RESULT = 0,GR_Parameter_Y  // Parameter 3 address
+      nop.b 0
 }
-;;
-
+{ .mib
+      stfs [GR_Parameter_Y] = f8                 // STORE Parameter 3 on stack
+      add   GR_Parameter_Y = -16,GR_Parameter_Y
+      br.call.sptk b0=__libm_error_support#      // Call error handling function
+};;
+{ .mmi
+      nop.m 0
+      nop.m 0
+      add   GR_Parameter_RESULT = 48,sp
+};;
 
+// (4)
+{ .mmi
+      ldfs  f8 = [GR_Parameter_RESULT]           // Get return result off stack
+.restore sp
+      add   sp = 64,sp                           // Restore stack pointer
+      mov   b0 = GR_SAVE_B0                      // Restore return address
+};;
 { .mib
-         nop.m 999
-      mov ar.pfs    = GR_SAVE_PFS
-      br.ret.sptk     b0
-;;
-}
+      mov   gp = GR_SAVE_GP                      // Restore gp
+      mov   ar.pfs = GR_SAVE_PFS                 // Restore ar.pfs
+      br.ret.sptk     b0                         // Return
+};;
 
+LOCAL_LIBM_END(__libm_error_region)
 
-.endp  __libm_callout
-ASM_SIZE_DIRECTIVE(__libm_callout)
+.type   __libm_error_support#,@function
+.global __libm_error_support#
 
-.type __libm_tan#,@function
-.global __libm_tan#
diff --git a/sysdeps/ia64/fpu/s_tanh.S b/sysdeps/ia64/fpu/s_tanh.S
new file mode 100644
index 0000000000..c8583980fb
--- /dev/null
+++ b/sysdeps/ia64/fpu/s_tanh.S
@@ -0,0 +1,987 @@
+.file "tanh.s"
+
+
+// Copyright (c) 2001 - 2003, Intel Corporation
+// All rights reserved.
+//
+// Contributed 2001 by the Intel Numerics Group, Intel Corporation
+//
+// Redistribution and use in source and binary forms, with or without
+// modification, are permitted provided that the following conditions are
+// met:
+//
+// * Redistributions of source code must retain the above copyright
+// notice, this list of conditions and the following disclaimer.
+//
+// * Redistributions in binary form must reproduce the above copyright
+// notice, this list of conditions and the following disclaimer in the
+// documentation and/or other materials provided with the distribution.
+//
+// * The name of Intel Corporation may not be used to endorse or promote
+// products derived from this software without specific prior written
+// permission.
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
+// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS 
+// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, 
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY 
+// OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 
+// 
+// Intel Corporation is the author of this code, and requests that all
+// problem reports or change requests be submitted to it directly at 
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
+//
+// History
+//==============================================================================
+// 05/30/01  Initial version
+// 12/04/01  Rewritten version with erf-like algorithm.
+//           Performance improved.
+// 05/20/02  Cleaned up namespace and sf0 syntax
+// 08/14/02  Changed mli templates to mlx
+// 02/10/03  Reordered header: .section, .global, .proc, .align
+//
+// API
+//==============================================================================
+// double tanh(double)
+//
+// Overview of operation
+//==============================================================================
+//
+// Algorithm description
+// ---------------------
+//
+// There are 4 paths:
+//
+// 1. Special path: x = 0, Inf, NaNs, denormals
+//    Return tanh(x) = +/-0.0 for zeros
+//    Return tanh(x) = QNaN for NaNs
+//    Return tanh(x) = sign(x)*1.0 for Inf
+//    Return tanh(x) = x + x^2   for - denormals
+//    Return tanh(x) = x - x^2   for + denormals
+//
+// 2. Near zero path: 0.0 < |x| < 0.25
+//    Return tanh(x) = x + x^3*A3 + ... + x^19*A19
+//
+// 3. Main path: 0.25 <= |x| < 19.0625
+//    For several ranges of 0.25 <= |x| < 19.0625
+//    Return tanh(x) = sign(x)*(A0 + y*A1 + y^2*A2 + 
+//                                       + y^3*A3 + ... + y^19*A19)
+//    where y = (|x|/a) - b
+//    
+//    For each range there is particular set of coefficients.
+//    Below is the list of ranges:
+//    1/4  <= |x| < 1/2     a = 0.25, b = 1.0
+//    1/2  <= |x| < 1.0     a = 0.5,  b = 1.0
+//    1.0  <= |x| < 2.0     a = 1.0,  b = 1.0
+//    2.0  <= |x| < 3.25    a = 2.0,  b = 1.0
+//    3.25 <= |x| < 4.0     a = 2.0,  b = 2.0
+//    4.0  <= |x| < 6.5     a = 4.0,  b = 1.0
+//    6.5  <= |x| < 8.0     a = 4.0,  b = 2.0
+//    8.0  <= |x| < 13.0    a = 8.0,  b = 1.0
+//    13.0 <= |x| < 16.0    a = 8.0,  b = 2.0
+//    16.0 <= |x| < 19.0625 a = 16.0, b = 1.0
+//    ( [3.25;4.0], [6.5;8.0], [13.0;16.0] subranges separated 
+//                               for monotonicity issues resolve )
+//
+// 4. Saturation path: 19.0625 <= |x| < +INF 
+//    Return tanh(x) = sign(x)*(1.0 - tiny_value)
+//    (tiny_value ~ 2^(-63))
+//
+// Registers used
+//==============================================================================
+// Floating Point registers used: 
+// f8 = input, output
+// f32 -> f64
+//
+// General registers used:  
+// r32 -> r51, r2, r3
+//
+// Predicate registers used:
+// p6, p8, p10, p11, p12, p14, p15
+// p6           arg is zero, denormal or special IEEE
+// p8           to filter out case when signd(x) > 1.625 
+// p10          to filter out case when |x| < 0.25
+// p11          to filter out case when signd(x) <= 1.625 
+// p12          to filter out case when |x| >= 19.0625
+// p14          set to 1 for positive x
+// p15          set to 1 for negative x
+
+// Assembly macros
+//==============================================================================
+rDataPtr           = r2
+rDataPtr1          = r3
+
+rBias              = r33
+rCoeffAddr3        = r34
+rThreeAndQ         = r35
+rCoeffAddr2        = r36
+rMask              = r37
+rArg               = r38
+rSignBit           = r39
+rAbsArg            = r40
+rSaturation        = r41
+rIndex             = r42
+rCoeffAddr1        = r43
+rCoeffAddr4        = r44
+rShiftedArg        = r45
+rShiftedArgMasked  = r46
+rBiasedExpOf4      = r47
+rShiftedAbsArg     = r48
+rArgSgnd           = r49
+r1625Sgnd          = r50
+rTwo               = r51
+
+//==============================================================================
+fA0                = f32
+fA1                = f33
+fA2                = f34
+fA3                = f35
+fA4                = f36
+fA5                = f37
+fA6                = f38
+fA7                = f39
+fA8                = f40
+fA9                = f41
+fA10               = f42
+fA11               = f43
+fA12               = f44
+fA13               = f45
+fA14               = f46
+fA15               = f47
+fA16               = f48
+fA17               = f49
+fA18               = f50
+fA19               = f51
+fArgSqr            = f52
+fArgAbsNorm        = f53
+fSignumX           = f54
+fRes               = f55
+fThreeAndQ         = f56
+fArgAbs            = f57
+fTSqr              = f58
+fTQuadr            = f59
+fTDeg3             = f60
+fTDeg7             = f61
+fArgAbsNormSgn     = f62                          
+fTQuadrSgn         = f63
+fTwo               = f64
+
+// Data tables
+//==============================================================================
+RODATA
+
+.align 16
+
+LOCAL_OBJECT_START(tanh_data)
+// CAUTION: The order of these table coefficients shouldn't be changed!
+
+// Main path coefficients:
+// Coefficients ##0..15 ("main" coefficient tables)
+// Polynomial coefficients for the tanh(x), 0.25 <= |x| < 0.5 
+data8 0xE9D218BC9A3FB55A, 0x00003FC7 //A19
+data8 0xC8C0D38687F36EBA, 0x00003FCE //A18
+data8 0xA2663E519FAC8A43, 0x0000BFD2 //A17
+data8 0xD913F0490674B0DF, 0x00003FD3 //A16
+data8 0xF75D84789DE0AE52, 0x00003FD6 //A15
+data8 0xACB3C40EEF3A06F0, 0x0000BFD9 //A14
+data8 0xEBD7F5DC02CFD5BA, 0x0000BFDB //A13
+data8 0x8B52CDF66D709E2A, 0x00003FDF //A12
+data8 0x9EC21F28E05C4A3E, 0x00003FE0 //A11
+data8 0xC412B44D0176F3ED, 0x0000BFE4 //A10
+data8 0x97BF35A34DD1EA4C, 0x0000BFE0 //A9
+data8 0xF89F5B39E3A3AA36, 0x00003FE9 //A8
+data8 0xF2BA654BCEEBA433, 0x0000BFEA //A7
+data8 0x8E1C15876AA589AD, 0x0000BFEF //A6
+data8 0x942226246A8C2A86, 0x00003FF1 //A5
+data8 0x8F06D9FF7DB47261, 0x00003FF4 //A4
+//
+// Polynomial coefficients for the tanh(x), 0.5 <= |x| < 1.0 
+data8 0xC4A7B8FB672A8520, 0x00003FDC //A19
+data8 0xA20724B847E13499, 0x0000BFE0 //A18
+data8 0xE17DB53F02E4D340, 0x00003FE2 //A17
+data8 0x90264A1012F4CA6F, 0x0000BFE4 //A16
+data8 0xEBEC9F776F0BF415, 0x0000BFE0 //A15
+data8 0x89AF912B305B45A4, 0x00003FE7 //A14
+data8 0xB4A960B81F5EC36A, 0x0000BFE7 //A13
+data8 0x969A4E95B2DA86B5, 0x0000BFEA //A12
+data8 0x8A3FC0EC082305CB, 0x00003FEC //A11
+data8 0x83D7795BCBE24373, 0x00003FEC //A10
+data8 0xDCBF42AEB82932EC, 0x0000BFEF //A9
+data8 0x83318E61ECAFD804, 0x00003FF0 //A8
+data8 0xEA4DE5746975A914, 0x00003FF2 //A7
+data8 0xCE63E8FA6B96480B, 0x0000BFF4 //A6
+data8 0xDF017BE0D4FE45D8, 0x0000BFF4 //A5
+data8 0xA8A0C6E2226DF3CD, 0x00003FF8 //A4
+//
+// Polynomial coefficients for the tanh(x), 1.0 <= |x| < 2.0 
+data8 0x8E89D2EBFDAA160B, 0x00003FE9 //A19
+data8 0xDD9226310A272046, 0x0000BFEC //A18
+data8 0xA038042D28B0D665, 0x00003FEF //A17
+data8 0x8C04796F03516306, 0x0000BFF1 //A16
+data8 0x9CD6A9CB4E90A2FD, 0x00003FF2 //A15
+data8 0xC8980E166F5A84FD, 0x0000BFF2 //A14
+data8 0x9ADFE65F56B7BCFD, 0x00003FED //A13
+data8 0x8B11FDFB5D0A7B96, 0x00003FF4 //A12
+data8 0x8209A125E829CBFA, 0x0000BFF5 //A11
+data8 0xCF38AAC17B85BD76, 0x00003FF1 //A10
+data8 0xD5C2E248D8AB99AB, 0x00003FF6 //A9
+data8 0xE12BE2785727F2D6, 0x0000BFF7 //A8
+data8 0x9FC9EF90F87BF1E2, 0x00003FF6 //A7
+data8 0x9B02FE0DAF42C08F, 0x00003FF9 //A6
+data8 0xBDACE06F531D9491, 0x0000BFFA //A5
+data8 0xE3048AD1DB2F648C, 0x00003FF9 //A4
+//
+// Polynomial coefficients for the tanh(x), 2.0 <= |x| < 3.25 
+data8 0x856EC3B0330A385A, 0x00003FEB //A19
+data8 0xC641D69DAE2D429C, 0x0000BFF2 //A18
+data8 0xC683EB0BE1343FFF, 0x00003FF5 //A17
+data8 0xC358954224E4E823, 0x0000BFF7 //A16
+data8 0xF813A8D6D396BC5F, 0x00003FF8 //A15
+data8 0xE0ECDFED078D37D6, 0x0000BFF9 //A14
+data8 0x950E4E619855E316, 0x00003FFA //A13
+data8 0x8453B8F93370FB58, 0x0000BFFA //A12
+data8 0xFDBA28430AEC95BA, 0x00003FF7 //A11
+data8 0x9371AAC1FDB1E664, 0x00003FFA //A10
+data8 0xAC972DA97782D88A, 0x0000BFFB //A9
+data8 0xE18F47B10B9CE1BC, 0x00003FFB //A8
+data8 0xAB7C81230BF13BC6, 0x0000BFFB //A7
+data8 0xA6CAAD4A3E31A7D5, 0x0000BFF8 //A6
+data8 0x9CABD76D1D5C3878, 0x00003FFC //A5
+data8 0x92906D077941CAA9, 0x0000BFFD //A4
+//
+// Polynomial coefficients for the tanh(x), 4.0 <= |x| < 6.5 
+data8 0x9232D19F71709AC9, 0x0000BFF5 //A19
+data8 0x819E31323F5DD3F8, 0x00003FF8 //A18
+data8 0xDA8E1CDB8D23DC29, 0x0000BFF9 //A17
+data8 0xE97C7CD8FC0486D8, 0x00003FFA //A16
+data8 0xB0C4AD234D88C9F2, 0x0000BFFB //A15
+data8 0xC5989BFB28FDE267, 0x00003FFB //A14
+data8 0x9B26520EC4EFEE8E, 0x0000BFFB //A13
+data8 0xC4B6F758AD21E574, 0x00003FF9 //A12
+data8 0xCC36E3FFA10D2CFF, 0x00003FFA //A11
+data8 0x8738696FB06A5CED, 0x0000BFFC //A10
+data8 0xD31981825BF39228, 0x00003FFC //A9
+data8 0x82C58FB9BEE43992, 0x0000BFFD //A8
+data8 0x88D5AAE49164B6F3, 0x00003FFD //A7
+data8 0xF4CA0B968AF2DDE2, 0x0000BFFC //A6
+data8 0xB99874B482BD17EE, 0x00003FFC //A5
+data8 0xE93FB2F99431DC1D, 0x0000BFFB //A4
+//
+// Polynomial coefficients for the tanh(x), 8.0 <= |x| < 13.0 
+data8 0xAAA9EB7EADA85CEC, 0x00003FF5 //A19
+data8 0x980C80EE05A6BE78, 0x0000BFF8 //A18
+data8 0x818DA9F5396390A5, 0x00003FFA //A17
+data8 0x8D8CC21E23D8A6A2, 0x0000BFFB //A16
+data8 0xE0EC19E55A886765, 0x00003FFB //A15
+data8 0x8C11197A7E6244C5, 0x0000BFFC //A14
+data8 0x901D2BF203C2F7F3, 0x00003FFC //A13
+data8 0xFEACAEE66EE803E5, 0x0000BFFB //A12
+data8 0xC684E4925E318C3F, 0x00003FFB //A11
+data8 0x8A9D8A970565F28D, 0x0000BFFB //A10
+data8 0xAE34C61DE5CEA4D4, 0x00003FFA //A9
+data8 0xC44C5714BD6208A0, 0x0000BFF9 //A8
+data8 0xC4612F7D6C8BDB79, 0x00003FF8 //A7
+data8 0xABD91DCE40D5EECB, 0x0000BFF7 //A6
+data8 0x80E375C1B847B72F, 0x00003FF6 //A5
+data8 0xA11C7DD978CF700A, 0x0000BFF4 //A4
+//
+// Polynomial coefficients for the tanh(x), 16.0 <= |x| < 19.0625 
+data8 0xE29D17C510F86F6B, 0x00003FF3 //A19
+data8 0x88FE52EB39A3A98C, 0x0000BFF5 //A18
+data8 0xA406547E50360693, 0x00003FF5 //A17
+data8 0x83E6260B71C6D7DE, 0x0000BFF5 //A16
+data8 0xA36AB5B0CBC97B85, 0x00003FF4 //A15
+data8 0xA94931E0B7BA6C14, 0x0000BFF3 //A14
+data8 0x9A4596DAF350AD63, 0x00003FF2 //A13
+data8 0xFE47643F375AECA5, 0x0000BFF0 //A12
+data8 0xBF8433C5ABEE63B1, 0x00003FEF //A11
+data8 0x83CEE05D7AE90A0A, 0x0000BFEE //A10
+data8 0xA4CC45480BCEB02D, 0x00003FEC //A9
+data8 0xB967CBDCBC16CB10, 0x0000BFEA //A8
+data8 0xB9681B214EDC098D, 0x00003FE8 //A7
+data8 0xA23B20D87B80DFA8, 0x0000BFE6 //A6
+data8 0xF358B2C46F10CBAF, 0x00003FE3 //A5
+data8 0x98176FD06229A385, 0x0000BFE1 //A4
+//
+// Binary subranges
+// Polynomial coefficients for the tanh(x), 3.25 <= |x| < 4.0 
+data8 0xEF2EE841288F6706, 0x00003FE9 //A19
+data8 0xE65D5B74B85F82A6, 0x00003FEB //A18
+data8 0xE495FC21E42A79FF, 0x00003FEA //A17
+data8 0xF99B267A913CF3E5, 0x00003FEC //A16
+data8 0xFE3D700F4A0A0FDE, 0x0000BFEC //A15
+data8 0x8F91BB4EE4E4EA52, 0x00003FEE //A14
+data8 0xBCA9F41A5C6EF8BA, 0x0000BFEE //A13
+data8 0xF93E00884027A9CF, 0x00003FED //A12
+data8 0xC4D4036A61BABC2F, 0x00003FEF //A11
+data8 0x86CC2AD1AD47C7D5, 0x0000BFF2 //A10
+data8 0xD3065DEF4CE9AD32, 0x00003FF3 //A9
+data8 0x82C44125F568D54E, 0x0000BFF5 //A8
+data8 0x88D588729BAF14CA, 0x00003FF6 //A7
+data8 0xF4CA0661307243C7, 0x0000BFF6 //A6
+data8 0xB998746D57061F74, 0x00003FF7 //A5
+data8 0xE93FB2F482327C19, 0x0000BFF7 //A4
+//
+// Polynomial coefficients for the tanh(x), 6.5 <= |x| < 8.0 
+data8 0xEB189B71ADC40BE2, 0x00003FEA //A19
+data8 0xA60B46F9FF6DC2DF, 0x00003FEA //A18
+data8 0xBB061CDD9F368B9D, 0x00003FEC //A17
+data8 0x841E08BDF5429991, 0x0000BFEC //A16
+data8 0xDD33990B433F25BE, 0x00003FED //A15
+data8 0xBA5DE6B870F0A2BB, 0x0000BFEE //A14
+data8 0xA71D489AAA6DACF0, 0x00003FEF //A13
+data8 0x874CCB2B8F3FBC0E, 0x0000BFF0 //A12
+data8 0xCB1D2E9754EA534A, 0x00003FF0 //A11
+data8 0x8BA5ABB53BA6ABCF, 0x0000BFF1 //A10
+data8 0xAE91FD1C2391A32B, 0x00003FF1 //A9
+data8 0xC465A74B798E5761, 0x0000BFF1 //A8
+data8 0xC4666152397D15C1, 0x00003FF1 //A7
+data8 0xABD9E63CA575B950, 0x0000BFF1 //A6
+data8 0x80E38B18E8D0F460, 0x00003FF1 //A5
+data8 0xA11C80E20AAFDD3C, 0x0000BFF0 //A4
+//
+// Polynomial coefficients for the tanh(x), 13.0 <= |x| < 16.0 
+data8 0xBECD0AF7E22E5594, 0x00003FE9 //A19
+data8 0xE2834E2D68C1128C, 0x00003FEA //A18
+data8 0x97B117611B317379, 0x00003FEB //A17
+data8 0xEE91A0D39A772F6B, 0x00003FEA //A16
+data8 0x92F6EC377DCADA4F, 0x00003FEA //A15
+data8 0xD8FCCD6A3277FAB7, 0x00003FE8 //A14
+data8 0xC15AB9CB0C3DCFE0, 0x00003FE7 //A13
+data8 0xC3C659704A7147CD, 0x00003FE2 //A12
+data8 0xFA17F09D27C97912, 0x00003FE4 //A11
+data8 0xF664147182B94788, 0x0000BFE3 //A10
+data8 0xA6C89FA741464DA1, 0x00003FE3 //A9
+data8 0xB90FE464A825EFA8, 0x0000BFE2 //A8
+data8 0xB973AE0FD86EC024, 0x00003FE1 //A7
+data8 0xA23A087F96846951, 0x0000BFE0 //A6
+data8 0xF358D8A7FC012D5D, 0x00003FDE //A5
+data8 0x98176E2309B7C73A, 0x0000BFDD //A4
+//
+//
+// Coefficients ##16..19 ("tail" coefficient tables)
+// Polynomial coefficients for the tanh(x), 0.25 <= |x| < 0.5 
+data8 0x838F209ABB9BA7B3, 0x0000BFF7 //A3
+data8 0xEBC0AC78DA4FC500, 0x0000BFF8 //A2
+data8 0xF0A4D02960B60E69, 0x00003FFC //A1
+data8 0xFACBF534D0E42F8A, 0x00003FFC //A0
+//
+// Polynomial coefficients for the tanh(x), 0.5 <= |x| < 1.0 
+data8 0xC0ECBDC0A0D133A6, 0x0000BFF8 //A3
+data8 0xBA13A076BF8E812F, 0x0000BFFB //A2
+data8 0xC954A37D1A1CA070, 0x00003FFD //A1
+data8 0xEC9A9EBAB4579B29, 0x00003FFD //A0
+//
+// Polynomial coefficients for the tanh(x), 1.0 <= |x| < 2.0 
+data8 0xD42E9175A6EA1397, 0x00003FFB //A3
+data8 0xA3C361378A55CF56, 0x0000BFFD //A2
+data8 0xD706E07CC8622983, 0x00003FFD //A1
+data8 0xC2F7D5A8A79CA2AC, 0x00003FFE //A0
+//
+// Polynomial coefficients for the tanh(x), 2.0 <= |x| < 3.25
+data8 0xAC7A7F8776817C7E, 0x00003FFD //A3
+data8 0x8B7CE95E69FCFE9A, 0x0000BFFD //A2
+data8 0x90B161317028D995, 0x00003FFC //A1
+data8 0xF6CA82F0DE1E9E9A, 0x00003FFE //A0
+//
+// Polynomial coefficients for the tanh(x), 4.0 <= |x| < 6.5
+data8 0xE9E072407BC22DC6, 0x00003FFA //A3
+data8 0xAFA4A913D8E6BB4A, 0x0000BFF9 //A2
+data8 0xAFC2D6A885BAA875, 0x00003FF7 //A1
+data8 0xFFD40B84505A10B2, 0x00003FFE //A0
+//
+// Polynomial coefficients for the tanh(x), 8.0 <= |x| < 13.0
+data8 0xA11C8A1FED168CD5, 0x00003FF2 //A3
+data8 0xF1AAD6B02063A5F5, 0x0000BFEF //A2
+data8 0xF1AADA46AD341C34, 0x00003FEC //A1
+data8 0xFFFFFC39548FC34B, 0x00003FFE //A0
+//
+// Polynomial coefficients for the tanh(x), 16.0 <= |x| < 19.0625
+data8 0x98176FD1F0950C16, 0x00003FDE //A3
+data8 0xE42327BB09C8B2A5, 0x0000BFDA //A2
+data8 0xE42327BB0B154F13, 0x00003FD6 //A1
+data8 0xFFFFFFFFFFF8DEE7, 0x00003FFE //A0
+//
+// Binary subranges
+// Polynomial coefficients for the tanh(x), 3.25 <= |x| < 4.0
+data8 0xE9E072404329293B, 0x00003FF7 //A3
+data8 0xAFA4A913D798300B, 0x0000BFF7 //A2
+data8 0xAFC2D6A885B48567, 0x00003FF6 //A1
+data8 0xFFD40B84505A10B4, 0x00003FFE //A0
+//
+// Polynomial coefficients for the tanh(x), 6.5 <= |x| < 8.0
+data8 0xA11C8A63815F7A28, 0x00003FEF //A3
+data8 0xF1AAD6B65B0EBF53, 0x0000BFED //A2
+data8 0xF1AADA46E799831F, 0x00003FEB //A1
+data8 0xFFFFFC39548FC348, 0x00003FFE //A0
+//
+// Polynomial coefficients for the tanh(x), 13.0 <= |x| < 16.0
+data8 0x98176FE982140A59, 0x00003FDB //A3
+data8 0xE42327B9B0D7202F, 0x0000BFD8 //A2
+data8 0xE42327BB13076BD6, 0x00003FD5 //A1
+data8 0xFFFFFFFFFFF8DEE7, 0x00003FFE //A0
+//
+//
+// Polynomial coefficients for the tanh(x), 0.0 <= |x| < 0.25 
+// ('tanh_near_zero' path)
+data8 0xBF2BA5D26E479D0C //A9
+data8 0x3F4336D96F81EE26 //A8
+data8 0xBF8226E34AE197B0 //A5
+data8 0x3F9664F488148657 //A4
+data8 0xAAAAAAAAAAAAAA99, 0x0000BFFD //A1
+data8 0xBF57D91925BB5EE2 //A7
+data8 0x3F6D6D36C3D5B7A1 //A6
+data8 0xBFABA1BA1BA19D32 //A3
+data8 0x3FC1111111111108 //A2
+//
+//
+// 1.0 - 2^(-63)
+// ('tanh_saturation' path)
+data8 0xFFFFFFFFFFFFFFFF, 0x00003FFE 
+LOCAL_OBJECT_END(tanh_data)
+
+// CAUTION: The order of table coefficients shouldn't be changed!
+
+
+.section .text
+GLOBAL_LIBM_ENTRY(tanh)
+{ .mfi
+      alloc          r32         = ar.pfs, 0, 20, 0, 0
+      fmerge.se      fArgAbsNorm = f1, f8         // normalized x
+      adds           rSignBit    = 0x1, r0        // Bit for sign removing
+}
+{ .mfi
+      addl           rDataPtr    = @ltoff(tanh_data), gp // Data pointer
+      fma.s1         fTwo        = f1, f1, f1            // 2.0 construct
+      addl           rArgSgnd    = 0xfff, r0             // mask for exponent
+};;
+
+{ .mfi
+      getf.d         rArg        = f8       // x in GR 
+      fclass.m       p6,p0       = f8, 0xEF // Filter 0, denormals and specials 
+                            // 0xEF = @qnan|@snan|@pos|@neg|@zero|@unorm|@inf
+      shl            rArgSgnd    = rArgSgnd, 52  // mask for exponent
+}
+{ .mlx
+      ld8            rDataPtr    = [rDataPtr]        // Real data pointer
+      movl           r1625Sgnd   = 0xA000000000000   // 1.625 signd
+      // 1.625 significand used to filter values greater than 3.25, 6.5, 13.0
+      // to enter binary subranges
+};;
+
+{ .mfi
+      addl           rBias       = 0x3FD00, r0       // bias of 0.25 << 8
+      fma.s1         fArgSqr     = f8, f8, f0        // x^2
+      shl            rSignBit    = rSignBit, 63      // mask for sign bit
+}
+{ .mlx
+      addl           rMask       = 0x7FF00, r0          // Mask for index bits
+      movl           rTwo        = 0x4000000000000000   // 2.0
+};;
+
+{ .mfi
+      andcm          rArgSgnd    = rArg, rArgSgnd // Remove exponent
+      nop.f          0
+      shr.u          rShiftedArg = rArg, 44 // Select only necessary bits of arg
+}
+{ .mfb
+      andcm          rAbsArg     = rArg, rSignBit     // Remove sign
+      nop.f          0
+(p6)  br.cond.spnt   _tanh_spec    // Branch to zero, denorm & specs
+};;
+   
+{ .mfi
+      and            rShiftedArgMasked = rShiftedArg, rMask // bias of x << 8
+      fmerge.s       fArgAbs     = f1, f8                   // |x|
+      shr            rShiftedAbsArg    = rAbsArg, 44 // Select only necessary 
+                                                     // bits of absolute arg
+}
+{ .mfi
+      cmp.gt         p8, p11     = rArgSgnd, r1625Sgnd // p8 = 1 if
+      // signd(x) > 1.625 - to filter values greater than 3.25, 6.5, 13.0
+      nop.f          0
+      nop.i          0
+};;
+
+{ .mfi
+      sub            rIndex      = rShiftedArgMasked, rBias // index << 8
+      nop.f          0 
+      cmp.lt         p10, p0     = rShiftedArgMasked, rBias // p10=1 if |x|<0.25
+}
+{ .mfb
+(p8)  cmp.gt         p8, p11     = rAbsArg, rTwo // If arg is greater than 2.0?
+                                       // (then we should use binary subranges)
+      nop.f          0 
+(p10) br.cond.spnt   tanh_near_zero    // branch out if |x| < 0.25
+};;
+
+.pred.rel "mutex",p8,p11
+{ .mfi
+(p8)  add            rIndex      = 0x400, rIndex // Make pointer to binary 
+                                                 // subranges
+(p11) fms.s1         fArgAbsNorm = fArgAbsNorm, f1, f1     // |x|/b - 1.0
+      addl           rSaturation = 0x40331, r0 // shifted bits of 19.0625
+}
+{ .mfi
+      nop.m          0 
+(p8)  fms.s1         fArgAbsNorm = fArgAbsNorm, f1, fTwo // |x|/b - 2.0
+       // this is only for binary subranges [3.25;4], [6.5;8], [13.0;16]
+      nop.i          0 
+}
+;;
+
+{ .mfi
+      add            rCoeffAddr1 = rDataPtr, rIndex// coeff. ##0,2,..14
+      nop.f          0
+      nop.i          0
+};;
+
+{ .mfi
+      adds           rCoeffAddr2 = 16, rCoeffAddr1 // Shifted pointer to coeffs
+      fmerge.s       fSignumX    = f8, f1          // signum(x)
+      nop.i          0
+} 
+{ .mfb
+      cmp.le         p12, p0     = rSaturation, rShiftedAbsArg // |x|>=19.0625?
+      nop.f          0
+(p12) br.cond.spnt   tanh_saturation          // branch out if x |x| >= 19.0625
+};;
+
+{.mfi
+      ldfe           fA19        = [rCoeffAddr1], 32 // Load A19
+      nop.f          0
+      nop.i          0
+}
+{.mfi
+      ldfe           fA18        = [rCoeffAddr2], 32 // Load A18
+      nop.f          0
+      adds           rCoeffAddr3 = 0xA00, rDataPtr   // Pointer to "tail"
+                                                     // coefficients tables
+};;
+
+{.mfi
+      ldfe           fA17        = [rCoeffAddr1], 32 // Load A17
+      nop.f          0
+      nop.i          0
+}
+{.mfi
+      ldfe           fA16        = [rCoeffAddr2], 32 // Load A16
+      nop.f          0
+      nop.i          0
+};;
+
+{.mfi
+      ldfe           fA15        = [rCoeffAddr1], 32 // Load A15
+      fma.s1         fTSqr       = fArgAbsNorm, fArgAbsNorm, f0 // x^2
+      shr.u          rIndex      = rIndex, 2 // Index for "tail" tables
+}
+{.mfi
+      ldfe           fA14        = [rCoeffAddr2], 32 // Load A14
+      nop.f          0
+      adds           rCoeffAddr4 = 16, r0            // Shifter pointer
+                                                     // to "tail" tables
+};;
+
+{.mfi
+      ldfe           fA13        = [rCoeffAddr1], 32   // Load A13
+      nop.f          0
+      add            rCoeffAddr3 = rCoeffAddr3, rIndex // "tail" coeffs to load
+                                                       // ##16..23
+}
+{.mfi
+      ldfe           fA12        = [rCoeffAddr2], 32 // Load A12
+      nop.f          0
+      cmp.lt         p15, p14    = rArg, r0          // Arg positive (p14) 
+                                                     // or negative (p15)?
+};;
+
+{.mfi
+      ldfe           fA11        = [rCoeffAddr1], 32        // Load A11
+      nop.f          0
+      add            rCoeffAddr4 = rCoeffAddr3, rCoeffAddr4 // shifted "tail" 
+                                                            // coeffs to load 
+}
+{.mfi
+      ldfe           fA10        = [rCoeffAddr2], 32 // Load A10
+      nop.f          0
+      nop.i          0
+};;
+
+{.mfi
+      ldfe           fA9         = [rCoeffAddr1], 32 // Load A9
+      nop.f          0
+      nop.i          0
+}
+{.mfi
+      ldfe           fA8         = [rCoeffAddr2], 32 // Load A8
+      nop.f          0
+      nop.i          0
+};;
+
+{.mfi
+      ldfe           fA7         = [rCoeffAddr1], 32 // Load A7
+      nop.f          0
+      nop.i          0
+}
+{.mfi
+      ldfe           fA6         = [rCoeffAddr2], 32 // Load A6
+      nop.f          0
+      nop.i          0
+};;
+
+{.mfi
+      ldfe           fA5         = [rCoeffAddr1], 32 // Load A5
+      fma.s1         fTDeg3      = fArgAbsNorm, fTSqr, f0 // x^3
+      nop.i          0
+}
+{.mfi
+      ldfe           fA4         = [rCoeffAddr2], 32 // Load A4
+      fma.s1         fTQuadr     = fTSqr, fTSqr, f0  // x^4
+      nop.i          0
+};;
+
+// Path #3 Polynomial Pol19(y) computation; y = fArgAbsNorm
+{.mfi
+      ldfe           fA3         = [rCoeffAddr3], 32            // Load A3
+      fma.s1         fArgAbsNormSgn = fArgAbsNorm, fSignumX, f0 // sign(x)*x
+      nop.i          0
+}
+{.mfi
+      ldfe           fA2         = [rCoeffAddr4], 32            // Load A2
+      nop.f          0
+      nop.i          0
+};;
+
+{.mfi
+      ldfe           fA1         = [rCoeffAddr3], 32       // Load A1
+      fma.s1         fRes        = fA19, fArgAbsNorm, fA18 // Polynomial
+      nop.i          0
+}
+{.mfi
+      ldfe           fA0         = [rCoeffAddr4], 32       // Load A0
+      nop.f          0
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      fma.s1         fA17        = fA17, fArgAbsNorm, fA16  // Polynomial
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      fma.s1         fA15        = fA15, fArgAbsNorm, fA14  // Polynomial
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      fma.s1         fTDeg7      = fTDeg3, fTQuadr, f0     // Polynomial
+      nop.i          0
+}
+{ .mfi
+      nop.m          0
+      fma.s1         fA13        = fA13, fArgAbsNorm, fA12 // Polynomial
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      fma.s1         fA11        = fA11, fArgAbsNorm, fA10 // Polynomial
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      fma.s1         fA9         = fA9, fArgAbsNorm, fA8   // Polynomial
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      fma.s1         fRes        = fRes, fTSqr, fA17       // Polynomial
+      nop.i          0
+}
+{ .mfi
+      nop.m          0
+      fma.s1         fA7         = fA7, fArgAbsNorm, fA6 // Polynomial
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      fma.s1         fA5         = fA5, fArgAbsNorm, f0  // Polynomial
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      fma.s1         fA15        = fA15, fTSqr, fA13     // Polynomial  
+      nop.i          0
+}
+{ .mfi
+      nop.m          0
+      fma.s1         fA4         = fA4, fArgAbsNorm, fA3 // Polynomial
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      fma.s1         fA2         = fA2, fArgAbsNorm, fA1 // Polynomial
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      fma.s1         fA11        = fA11, fTSqr, fA9 // Polynomial
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0                                       
+      fma.s1         fA7         = fA7, fTSqr, fA5  // Polynomial
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0                                       
+      fma.s1         fRes        = fRes, fTQuadr, fA15 // Polynomial
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0                                       
+      fma.s1         fA4         = fA4, fTSqr, fA2     // Polynomial
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      fma.s1         fRes        = fRes, fTQuadr, fA11 // Polynomial
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0                                       
+      fma.s1         fA4         = fA7, fTDeg3, fA4    // Polynomial
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      fma.s1         fRes        = fRes,  fTDeg7, fA4  // Polynomial
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      // result for negative argument
+(p15) fms.d.s0       f8          = fRes, fArgAbsNormSgn, fA0 // Polynomial
+      nop.i          0
+}
+{ .mfb
+      nop.m          0
+      // result for positive argument
+(p14) fma.d.s0       f8          = fRes, fArgAbsNormSgn, fA0 // Polynomial
+      br.ret.sptk    b0
+};;
+
+
+// |x| < 0.25 Path /////////////////////////////////////////////////////////////
+.align 32
+tanh_near_zero:
+{ .mfi
+      adds           rCoeffAddr1 = 0xC80, rDataPtr      // address of A9
+      fma.s0         fTSqr       = fArgSqr, fArgSqr, f0 // x^4 
+      nop.i          0
+}
+{ .mfi
+      adds           rCoeffAddr2 = 0xCB0, rDataPtr      // address of A7
+      nop.f          0
+      nop.i          0
+};;
+
+{ .mfi
+      ldfpd          fA9, fA8    = [rCoeffAddr1], 16 // Load A9, A8
+      nop.f          0
+      nop.i          0
+}
+{ .mfi
+      ldfpd          fA7, fA6    = [rCoeffAddr2], 16 // Load A7, A6
+      nop.f          0
+      nop.i          0
+};;
+
+{ .mfi
+      ldfpd          fA5, fA4    = [rCoeffAddr1], 16 // Load A5, A4
+      nop.f          0
+      nop.i          0
+}
+{ .mfi
+      ldfpd          fA3, fA2    = [rCoeffAddr2], 16 // Load A3, A2
+      nop.f          0
+      nop.i          0
+};;
+
+{ .mfi
+      ldfe           fA1         = [rCoeffAddr1] // Load A1
+      nop.f          0
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      fma.s1         fTQuadr     = fTSqr, fTSqr, f0 // x^4
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      fma.s1         fRes        = fA9, fArgSqr, fA8 // Polynomial
+      nop.i          0
+}
+{ .mfi
+      nop.m          0
+      fma.s1         fA7         = fA7, fArgSqr, fA6 // Polynomial
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      fma.s1         fA3         = fA3, fArgSqr, fA2 // Polynomial
+      nop.i          0
+}
+{ .mfi
+      nop.m          0
+      fma.s1         fA5         = fA5, fArgSqr, fA4 // Polynomial
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      fma.s1         fA1         = fA1, fArgSqr, f0 // Polynomial
+      nop.i          0
+}
+{ .mfi
+      nop.m          0
+      fma.s1         fTQuadrSgn  = fTQuadr, f8, f0  // x^4 * x
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      fma.s1         fRes        = fRes, fTSqr, fA7 // Polynomial
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      fma.s1         fA1         = fA3, fTSqr, fA1 // Polynomial
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      fma.s1         fRes        = fRes, fTSqr, fA5 // Polynomial
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      fma.s1         fRes        = fRes, fTQuadr, fA1 // Polynomial
+      nop.i          0
+};;
+
+{ .mfb
+      nop.m          0
+      fma.d.s0       f8          = fRes, f8, f8 // x+x*Polynomial
+      br.ret.sptk    b0                         // Exit for |x| < 0.25
+};;
+
+
+
+
+
+// 19.0625 <= |x| < +inf Saturation path ///////////////////////////////////////
+.align 32
+tanh_saturation:
+{ .mfi
+      adds           rDataPtr    = 0xCD0, rDataPtr  // address of A0
+      nop.f          0
+      nop.i          0
+};;
+
+{ .mfi
+      ldfe           fA0         = [rDataPtr]       // Load  A0 = 2^(-63)
+      nop.f          0
+      nop.i          0
+};;
+
+{ .mfb
+      nop.m          0
+      fma.d.s0       f8          = fA0, fSignumX, f0 // sign(x)*(1.0-2^(-63))
+      br.ret.sptk    b0                       // Exit for 19.0625 <=|x|< +inf
+};;
+
+
+
+
+      
+//  0, denormals and special IEEE numbers path /////////////////////////////////
+_tanh_spec:
+
+{ .mfi 
+      cmp.lt         p15, p14    = rArg, r0 // Is arg negative (p15) 
+                                            // or positive p14)
+      fclass.m       p6,p0       = f8, 0x23 // To filter infinities
+                                          // 0x23 = @pos|@neg|@inf 
+      nop.i          0
+};;
+
+{ .mfi 
+      nop.m          0
+      fclass.m       p7,p0       = f8, 0xC7 // To filter NaNs & Zeros
+                                 // 0xC7 = @pos|@neg|@zero|@qnan|@snan
+      nop.i          0
+};;
+
+{ .mfb 
+      nop.m          0
+(p6)  fmerge.s       f8          = f8, f1     // +/-1 for INF args 
+(p6)  br.ret.spnt    b0                       // exit for x = INF
+};;
+
+{ .mfb 
+      nop.m          0
+(p7)  fma.d.s0       f8          = f8, f1, f8    // +/-0 for 0 args 
+                                                 // and NaNs for NaNs
+(p7)  br.ret.spnt    b0                          // exit for x = NaN or +/-0
+};;
+
+{ .mfi 
+      nop.m          0
+      fnorm.s0       f8          = f8            // Normalize arg
+      nop.i          0
+};;
+
+.pred.rel "mutex",p14,p15
+{ .mfi 
+      nop.m          0
+(p14) fnma.d.s0      f8          = f8, f8, f8  // res = r-r^2
+      nop.i          0
+}
+{ .mfb 
+      nop.m          0
+(p15) fma.d.s0       f8          = f8, f8, f8  // res = r+r^2
+      br.ret.sptk    b0          // 0, denormals, specials return
+};;
+
+GLOBAL_LIBM_END(tanh)
+
diff --git a/sysdeps/ia64/fpu/s_tanhf.S b/sysdeps/ia64/fpu/s_tanhf.S
new file mode 100644
index 0000000000..344ca4ec5a
--- /dev/null
+++ b/sysdeps/ia64/fpu/s_tanhf.S
@@ -0,0 +1,581 @@
+.file "tanhf.s"
+
+
+// Copyright (c) 2001 - 2003, Intel Corporation
+// All rights reserved.
+//
+// Contributed 2001 by the Intel Numerics Group, Intel Corporation
+//
+// Redistribution and use in source and binary forms, with or without
+// modification, are permitted provided that the following conditions are
+// met:
+//
+// * Redistributions of source code must retain the above copyright
+// notice, this list of conditions and the following disclaimer.
+//
+// * Redistributions in binary form must reproduce the above copyright
+// notice, this list of conditions and the following disclaimer in the
+// documentation and/or other materials provided with the distribution.
+//
+// * The name of Intel Corporation may not be used to endorse or promote
+// products derived from this software without specific prior written
+// permission.
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
+// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS 
+// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, 
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY 
+// OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 
+// 
+// Intel Corporation is the author of this code, and requests that all
+// problem reports or change requests be submitted to it directly at 
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
+//
+// History
+//==============================================================
+// 05/30/01 Initial version
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 02/10/03 Reordered header: .section, .global, .proc, .align
+//
+// API
+//==============================================================
+// float tanhf(float)
+//
+// Overview of operation
+//==============================================================
+// Background
+//
+//
+// There are 9 paths:
+// 1. x = +/-0.0
+//    Return tanhf(x) = +/-0.0
+//
+// 2. 0.0 < |x| < 0.3125
+//    Return tanhf(x) = x + x^3*Pol3(x^2),
+//    where Pol3(x^2) = C3*x^6 + C2*x^4 + C1*x^2 + C0
+//
+// 3. 0.3125 <= |x| < 8.0
+//    Return tanhf(x) = sign(x)*PolD(x)*PolC(|x|) + sign(x)*PolA(|x|),
+//    where sign(x)*PolD(x) = sign(x)*(|x|^7 + D2*x^6 + D1*|x|^5 + D0*x^4),
+//          PolC(|x|) = B0*x^4 + C3*|x|^3 + C2*|x|^2 + C1*|x| + C0,
+//          PolA(|x|) = A3|x|^3 + A2*x^2 + A1*|x| + A0
+//
+//    Actually range 0.3125<=|x|< 8.0 is split to 5 subranges.
+//    For each subrange there is particular set of coefficients.
+//    Below is the list of subranges:
+//    3.1 0.3125 <= |x| < 0.5
+//    3.2 0.5 <= |x| < 1.0
+//    3.3 1.0 <= |x| < 2.0
+//    3.4 2.0 <= |x| < 4.0
+//    3.5 4.0 <= |x| < 8.0
+//
+// 4. 8.0 <= |x| < 9.125
+//    Return tanhf(x) = sign(x)*(A3|x|^3 + A2*x^2 + A1*|x| + A0)
+//
+// 5. 9.125 <= |x| < +INF
+//    Return tanhf(x) = sign(x)*(1.0d - 2^(-52))
+//
+// 6. |x| = INF
+//    Return tanhf(x) = sign(x) * 1.0
+//
+// 7. x = [S,Q]NaN 
+//    Return tanhf(x) = QNaN
+//
+// 8. x is positive denormal
+//    Return tanhf(x) = x - x^2
+//
+// 9. x is negative denormal
+//    Return tanhf(x) = x + x^2
+//
+// Registers used
+//==============================================================
+// Floating Point registers used: 
+// f8, input
+// f32 -> f59
+
+// General registers used:  
+// r32 -> r46, r2, r3
+
+// Predicate registers used:
+// p0, p6 -> p15
+
+// p6           to filter out case when x = [Q,S]NaN or +/-0
+// p7           to filter out case when x = denormal
+// p8           set if |x| >= 0.3125, used also to process denormal input
+// p9           to filter out case when |x| = inf
+// p10          to filter out case when |x| < 0.3125
+// p11          to filter out case when 0.3125 <= |x| < 9.125
+// p12          to filter out case when |x| >= 9.125
+// p13          to filter out case when 8.0 <= |x| < 9.125
+// p14          set to 1 for positive x
+// p15          set to 1 for negative x
+
+// Assembly macros
+//==============================================================
+rDataPtr           = r2
+rDataPtr1          = r3
+
+rBias              = r33
+rCoeffAddr3        = r34
+rNearSaturation    = r35
+rCoeffAddr1        = r36
+rCoeffAddr2        = r37
+rOffset2           = r38
+rBias2             = r39
+rMask              = r40
+rArg               = r41
+rBound             = r42
+rSignBit           = r43
+rAbsArg            = r44
+rDataPtr2          = r45
+rSaturation        = r46
+
+//==============================================================
+fA0                = f32
+fA1                = f33
+fA2                = f34
+fA3                = f35
+fC0                = f36
+fC1                = f37
+fC2                = f38
+fC3                = f39
+fD0                = f40
+fD1                = f41
+fD2                = f42
+fB0                = f43
+fArgSqr            = f44
+fAbsArg            = f45
+fSignumX           = f46
+fArg4              = f47
+fArg4Sgn           = f48
+fArg3              = f49
+fArg3Sgn           = f50
+fArg7Sgn           = f51
+fArg6Sgn           = f52
+fPolC              = f53
+fPolCTmp           = f54
+fPolA              = f55
+fPolATmp           = f56
+fPolD              = f57
+fPolDTmp           = f58
+fArgSqrSgn         = f59
+
+// Data tables
+//==============================================================
+
+RODATA
+
+.align 16
+
+LOCAL_OBJECT_START(tanhf_data)
+// Polynomial coefficients for the tanh(x), 0.3125 <= |x| < 0.5
+data8 0x3F9BEEDFDD177D7B // C0
+data8 0x3F970D10C7F32458 // C1
+data8 0x3F766D6B051F3A38 // C2
+data8 0xBF732F2001B23402 // C3
+data8 0xBF854BE1CE1ED499 // D0
+data8 0x4013C944F3999A16 // D1
+data8 0xC01106C6975222C0 // D2
+data8 0x3F783D5ACCF9EBE8 // B0
+// Polynomial coefficients for the tanh(x), 0.5 <= |x| < 1.0
+data8 0xBF5D631440786869 // C0
+data8 0xBF575D79A0D52069 // C1
+data8 0xBF7E2237B7EFC705 // C2
+data8 0x3F6A7ACBC273041F // C3
+data8 0xC040E32EA52D91EB // D0
+data8 0x403D19463E5DB4D7 // D1
+data8 0xC02216F61F759F39 // D2
+data8 0xBF55B4EA0B844BE7 // B0
+// Polynomial coefficients for the tanh(x), 1.0 <= |x| < 2.0
+data8 0x3F8637DBE5B3E690 // C0
+data8 0xBF7F7FEC158C07F5 // C1
+data8 0x3F711C586706838A // C2
+data8 0xBF50EF7EF605554E // C3
+data8 0xC054D45448354E25 // D0
+data8 0x404ADFEEA282E730 // D1
+data8 0xC028AEE456D59549 // D2
+data8 0x3F25232D1BED59A8 // B0
+// Polynomial coefficients for the tanh(x), 2.0 <= |x| < 4.0
+data8 0xBF52602285F2D06C // C0
+data8 0x3F2E57C298FFE1E0 // C1
+data8 0xBF15ED575DB3C811 // C2
+data8 0x3EE428878A08525C // C3
+data8 0xC0895A26849039C1 // D0
+data8 0x406E3C60BBFBB575 // D1
+data8 0xC03A06F62867C75A // D2
+data8 0xBEB114C70F1C723E // B0
+// Polynomial coefficients for the tanh(x), 4.0 <= |x| < 8.0
+data8 0x3EF4B22BD17039A3 // C0
+data8 0xBEB704ADC040C57F // C1
+data8 0x3E937A98288AFE1A // C2
+data8 0xBE4F33B2C9FFE7E7 // C3
+data8 0xC0BE48CFADE2431E // D0
+data8 0x4090E74249760FDD // D1
+data8 0xC04B6F537FCF2F1E // D2
+data8 0x3E0DCD879C91ADEA // B0
+// Polynomial coefficients for the tanh(x), -0.3125 < x < 0.3125 
+data8 0xBFD555551E8245B7 // A0
+data8 0x3FC110E63F52E689 // A1
+data8 0xBFAB8CD6A5B7BAFA // A2
+data8 0x3F945D467FCEB553 // A3
+//
+// Polynomial coefficients for the tanh(x), 0.3125 <= |x| < 0.5
+data8 0xBE3DCC92FCAECBB6 // A0
+data8 0x3FF0000043B7D267 // A1
+data8 0xBED18BF28ACFC4B1 // A2
+data8 0xBFD554A56F82837E // A3
+// Polynomial coefficients for the tanh(x), 0.5 <= |x| < 1.0
+data8 0x3EFD6054758539F9 // A0
+data8 0x3FEFFBFC77198EBE // A1
+data8 0x3F700327CA98D237 // A2
+data8 0xBFD68955F5BB2FA1 // A3
+// Polynomial coefficients for the tanh(x), 1.0 <= |x| < 2.0
+data8 0xBF71A53F229DF01B // A0
+data8 0x3FF0AECFD730DE50 // A1
+data8 0xBFC882F88E5DF3BA // A2
+data8 0x3FC6EDF212CA2A8D // A3
+// Polynomial coefficients for the tanh(x), 2.0 <= |x| < 4.0
+data8 0xBFAF0B712E9EDA47 // A0
+data8 0x3FF1C208080BEA64 // A1
+data8 0x3FC3D29B20C8946E // A2
+data8 0xBFF04514ED900A6A // A3
+// Polynomial coefficients for the tanh(x), 4.0 <= |x| < 8.0
+data8 0xBFB1DEA49A831CBC // A0
+data8 0x3FFA729FC7085674 // A1
+data8 0xBFF2F44D923A8FA4 // A2
+data8 0x3FE092FC5712227E // A3
+// Polynomial coefficients for the tanh(x), 8.0 <= |x| <= 9.125 
+data8 0x3FEFFF5769EE3041 // A0
+data8 0x3EFBBF148D850891 // A1
+data8 0xBEC86BCEF0F5C2FE // A2
+data8 0x3E7CBA4F3A885A5C // A3
+//
+data8 0x3FEFFFFFFFFFFFFF // 1.0 - epsilon
+LOCAL_OBJECT_END(tanhf_data)
+
+.section .text
+GLOBAL_LIBM_ENTRY(tanhf)
+
+{ .mfi
+      alloc          r32 = ar.pfs, 1, 14, 0, 0
+      fmerge.s       fAbsArg = f1, f8             // |x|
+      addl           rMask = 0x806, r0
+}
+{ .mfi
+      addl           rDataPtr = @ltoff(tanhf_data), gp
+      fma.s1         fArgSqr = f8, f8, f0         // x^2
+      adds           rSignBit = 0x1, r0
+}
+;;
+
+{ .mfi
+      getf.s         rArg = f8                    // x in GR 
+      fclass.m       p7,p0 = f8, 0x0b             // is x denormal ?
+      // sign bit and 2 most bits in significand
+      shl            rMask = rMask, 20               
+}
+{ .mfi
+      ld8            rDataPtr = [rDataPtr]
+      nop.f          0
+      adds           rBias2 = 0x1F4, r0
+}
+;;
+
+{ .mfi
+      adds           rNearSaturation = 0x14, r0
+      fmerge.s       fSignumX = f8, f1            // signum(x)
+      shl            rSignBit = rSignBit, 31      // mask for sign bit
+}
+{ .mfi
+      adds           rBound = 0x3EA, r0
+      nop.f          0
+      addl           rSaturation = 0x4112, r0
+}
+;;
+
+{ .mfi
+      andcm          rOffset2 = rArg, rMask
+      fclass.m       p6,p0 = f8, 0xc7             // is x [S,Q]NaN or +/-0 ?
+      shl            rBound = rBound, 20          // 1.0f in GR
+}
+{ .mfb
+      andcm          rAbsArg = rArg, rSignBit     // |x| in GR
+      nop.f          0
+(p7)  br.cond.spnt   tanhf_denormal               // branch out if x is denormal
+}
+;;
+
+{ .mfi
+      adds           rCoeffAddr2 = 352, rDataPtr
+      fclass.m       p9,p0 = f8, 0x23            // is x +/- inf?
+      shr            rOffset2 = rOffset2, 21
+}
+{ .mfi
+      cmp.lt         p10, p8 = rAbsArg, rBound   // |x| < 0.3125? 
+      nop.f          0
+      adds           rCoeffAddr3 = 16, rDataPtr
+}
+;;
+
+{ .mfi
+(p8)  sub            rBias = rOffset2, rBias2
+      fma.s1         fArg4 = fArgSqr, fArgSqr, f0 // x^4
+      shl            rSaturation = rSaturation, 16
+}
+{ .mfb
+(p10) adds           rBias = 0x14, r0
+(p6)  fma.s.s0       f8 = f8,f1,f8                // NaN or +/-0
+(p6)  br.ret.spnt    b0                           // exit for x = NaN or +/-0
+}
+;;
+
+{ .mfi
+      shladd         rCoeffAddr1 = rBias, 4, rDataPtr
+      fma.s1         fArg3Sgn = fArgSqr, f8, f0  // sign(x)*|x|^3
+      // is |x| < 9.125? 
+      cmp.lt         p11, p12 = rAbsArg, rSaturation  
+}
+{ .mfi
+      shladd         rCoeffAddr3 = rBias, 4, rCoeffAddr3
+      fma.s1         fArg3 = fArgSqr, fAbsArg, f0 // |x|^3
+      shladd         rCoeffAddr2 = rBias, 3, rCoeffAddr2
+}
+;;
+
+{ .mfi
+(p11) ldfpd          fC0, fC1 = [rCoeffAddr1]
+(p9)  fmerge.s       f8 = f8,f1                   // +/- inf
+(p12) adds           rDataPtr = 544, rDataPtr 
+}
+{ .mfb
+(p11) ldfpd          fC2, fC3 = [rCoeffAddr3], 16
+      nop.f          0
+(p9)  br.ret.spnt    b0                           // exit for x = +/- inf
+}
+;;
+
+{ .mfi
+(p11) ldfpd          fA0, fA1 = [rCoeffAddr2], 16
+      nop.f          0
+(p8)  cmp.eq.unc     p13, p0 = rBias, rNearSaturation
+}
+{ .mfi
+      add            rCoeffAddr1 = 48, rCoeffAddr1
+      nop.f          0
+      nop.i          0
+}
+;;
+
+{ .mfi
+(p11) ldfpd          fD0, fD1 = [rCoeffAddr3]
+      nop.f          0
+      nop.i          0
+}
+{ .mfb
+(p11) ldfpd          fD2, fB0 = [rCoeffAddr1]
+      // sign(x)*|x|^2
+      fma.s1         fArgSqrSgn = fArgSqr, fSignumX, f0
+(p10) br.cond.spnt   tanhf_near_zero
+}
+;;
+
+{ .mfi
+(p11) ldfpd          fA2, fA3 = [rCoeffAddr2], 16
+      fcmp.lt.s1     p15, p14 = f8,f0
+      nop.i          0
+}
+{ .mfb
+(p12) ldfd           fA0 = [rDataPtr]
+      fma.s1         fArg4Sgn = fArg4, fSignumX, f0 // sign(x)*|x|^4
+(p12) br.cond.spnt   tanhf_saturation
+}
+;;
+{ .mfi
+      nop.m          0
+      fma.s1         fArg7Sgn = fArg4, fArg3Sgn, f0  // sign(x)*|x|^7
+      nop.i          0
+}
+{ .mfb
+      nop.m          0
+      fma.s1         fArg6Sgn = fArg3, fArg3Sgn, f0  // sign(x)*|x|^6
+(p13) br.cond.spnt   tanhf_close_to_saturation      
+}
+;;
+
+{ .mfi
+      nop.m          0
+      fma.s1         fPolC = fC3, fAbsArg, fC2    // C3*|x| + C2
+      nop.i          0
+}
+{ .mfi
+      nop.m          0
+      fma.s1         fPolCTmp = fC1, fAbsArg, fC0 // C1*|x| + C0
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      fma.s1         fPolA = fA1, fAbsArg, fA0    // A1*|x| + A0
+      nop.i          0
+}
+;;
+
+{ .mfi
+      nop.m          0
+      fma.s1         fPolD = fD1, fAbsArg, fD0    // D1*|x| + D0
+      nop.i          0
+}
+{ .mfi
+      nop.m          0
+      // sign(x)*(|x|^7 + D2*x^6)
+      fma.s1         fPolDTmp = fArg6Sgn, fD2, fArg7Sgn
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      fma.s1         fPolATmp = fA3, fAbsArg, fA2  // A3*|x| + A2 
+      nop.i          0
+}
+{ .mfi
+      nop.m          0
+      fma.s1         fB0 = fB0, fArg4, f0          // B0*x^4
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      // C3*|x|^3 + C2*x^2 + C1*|x| + C0
+      fma.s1         fPolC = fPolC, fArgSqr, fPolCTmp  
+      nop.i          0
+}
+;;
+
+{ .mfi
+      nop.m          0
+      // PolD = sign(x)*(|x|^7 + D2*x^6 + D1*|x|^5 + D0*x^4)
+      fma.d.s1       fPolD = fPolD, fArg4Sgn, fPolDTmp  
+      nop.i          0
+}
+;;
+
+{ .mfi
+      nop.m          0
+      // PolA = A3|x|^3 + A2*x^2 + A1*|x| + A0 
+      fma.d.s1       fPolA = fPolATmp, fArgSqr, fPolA 
+      nop.i          0
+}
+;;                 
+
+{ .mfi
+      nop.m          0
+      // PolC = B0*x^4 + C3*|x|^3 + C2*|x|^2 + C1*|x| + C0 
+      fma.d.s1       fPolC = fPolC, f1, fB0 
+      nop.i          0
+}
+;;     
+
+{ .mfi
+      nop.m          0
+(p14) fma.s.s0       f8 = fPolC, fPolD, fPolA     // for positive x
+      nop.i          0                           
+}
+{ .mfb
+      nop.m          0
+(p15) fms.s.s0       f8 = fPolC, fPolD, fPolA     // for negative x
+      br.ret.sptk    b0                           // Exit for 0.3125 <=|x|< 8.0
+};;
+
+
+// Here if |x| < 0.3125
+tanhf_near_zero:
+{ .mfi
+      nop.m          0
+      fma.s1         fPolC = fC3, fArgSqr, fC2    // C3*x^2 + C2
+      nop.i          0
+}
+{ .mfi
+      nop.m          0
+      fma.s1         fPolCTmp = fC1, fArgSqr, fC0  // C1*x^2 + C0
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      fma.s1         fPolC = fPolC, fArg4, fPolCTmp // C3*x^6 + C2*x^4 + C1*x^2 + C0
+      nop.i          0
+};;
+
+{ .mfb
+      nop.m          0
+      // x + x^3*(C3*x^6 + C2*x^4 + C1*x^2 + C0)
+      fma.s.s0       f8 = fPolC, fArg3Sgn, f8
+      br.ret.sptk    b0                           // Exit for |x| < 0.3125
+};;
+
+// Here if 9.125 <= |x| < +inf
+tanhf_saturation:
+{ .mfb
+      nop.m          0
+      fma.s.s0       f8 = fA0, fSignumX, f0       // sign(x)*(1.0d - 2^(-52))
+      // Exit for 9.125 <= |x| < +inf
+      br.ret.sptk    b0                           // Exit for 9.125 <=|x|< +inf
+}
+;;
+      
+// Here if  8.0 <= |x| < 9.125
+tanhf_close_to_saturation:
+{ .mfi
+      nop.m          0
+      fma.s1         fPolATmp = fA1, fAbsArg, fA0 // A1*|x| + A0
+      nop.i          0
+}
+{ .mfi
+      nop.m          0
+      fma.s1         fPolA = fA3, fAbsArg, fA2    // A3*|x| + A2
+      nop.i          0
+}    
+;;
+
+.pred.rel "mutex", p14, p15
+{ .mfi
+      nop.m          0
+      // for positive x
+(p14) fma.s.s0       f8 = fPolA, fArgSqr, fPolATmp
+      nop.i          0                           
+}
+{ .mfb
+      nop.m          0
+      // for negative x
+(p15) fms.s.s0       f8 = fPolA, fArgSqrSgn, fPolATmp
+      br.ret.sptk    b0                           // Exit for 8.0 <=|x|< 9.125
+};;
+
+// Here if x is single precision denormal
+tanhf_denormal:
+{ .mfi
+      nop.m          0
+      fclass.m       p7,p8 = f8, 0x0a             // is x -denormal ?
+      nop.i          0
+}
+;;
+
+{ .mfi
+      nop.m          0
+(p7)  fma.s.s0       f8 = f8,f8,f8                // -denormal
+      nop.i          0
+}
+{ .mfb
+      nop.m          0
+(p8)  fnma.s.s0      f8 = f8,f8,f8                // +denormal
+      br.ret.sptk    b0                           // Exit for denormal
+}
+;;
+
+GLOBAL_LIBM_END(tanhf)
diff --git a/sysdeps/ia64/fpu/s_tanhl.S b/sysdeps/ia64/fpu/s_tanhl.S
new file mode 100644
index 0000000000..ab00994c85
--- /dev/null
+++ b/sysdeps/ia64/fpu/s_tanhl.S
@@ -0,0 +1,1347 @@
+.file "tanhl.s"
+
+
+// Copyright (c) 2001 - 2003, Intel Corporation
+// All rights reserved.
+//
+// Contributed 2001 by the Intel Numerics Group, Intel Corporation
+//
+// Redistribution and use in source and binary forms, with or without
+// modification, are permitted provided that the following conditions are
+// met:
+//
+// * Redistributions of source code must retain the above copyright
+// notice, this list of conditions and the following disclaimer.
+//
+// * Redistributions in binary form must reproduce the above copyright
+// notice, this list of conditions and the following disclaimer in the
+// documentation and/or other materials provided with the distribution.
+//
+// * The name of Intel Corporation may not be used to endorse or promote
+// products derived from this software without specific prior written
+// permission.
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
+// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS 
+// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, 
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY 
+// OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 
+// 
+// Intel Corporation is the author of this code, and requests that all
+// problem reports or change requests be submitted to it directly at 
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
+//
+// History
+//==============================================================
+// 11/29/01  Initial version
+// 05/20/02  Cleaned up namespace and sf0 syntax
+// 08/14/02  Changed mli templates to mlx
+// 02/10/03  Reordered header: .section, .global, .proc, .align
+//
+// API
+//==============================================================
+// long double tanhl(long double)
+//
+// Overview of operation
+//==============================================================
+//
+// Algorithm description
+// ---------------------
+//
+// There are 4 paths:
+//
+// 1. Special path: x = 0, Inf, NaNs, denormal
+//    Return tanhl(x) = +/-0.0 for zeros
+//    Return tanhl(x) = QNaN for NaNs
+//    Return tanhl(x) = sign(x)*1.0 for Inf
+//    Return tanhl(x) = x + x^2   for - denormals
+//    Return tanhl(x) = x - x^2   for + denormals
+//
+// 2. [0;1/8] path: 0.0 < |x| < 1/8
+//    Return tanhl(x) = x + x^3*A3 + ... + x^15*A15
+//
+// 3. Main path: 1/8 <= |x| < 22.8
+//    For several ranges of 1/8 <= |x| < 22.8
+//    Return tanhl(x) = sign(x)*((A0H+A0L) + y*(A1H+A1L) + y^2*(A2H+A2L) + 
+//                                       + y^3*A3 + y^4*A4 + ... + y^25*A25 )
+//    where y = (|x|/a) - b
+//
+//    For each range there is particular set of coefficients.
+//    Below is the list of ranges:
+//    1/8  <= |x| < 1/4     a = 0.125, b = 1.5
+//    1/4  <= |x| < 1/2     a = 0.25,  b = 1.5
+//    1/2  <= |x| < 1.0     a = 0.5,   b = 1.5
+//    1.0  <= |x| < 2.0     a = 1.0,   b = 1.5
+//    2.0  <= |x| < 3.25    a = 2.0,   b = 1.5
+//    3.25 <= |x| < 4.0     a = 2.0,   b = 2.0
+//    4.0  <= |x| < 6.5     a = 4.0,   b = 1.5
+//    6.5  <= |x| < 8.0     a = 4.0,   b = 2.0
+//    8.0  <= |x| < 13.0    a = 8.0,   b = 1.5
+//    13.0 <= |x| < 16.0    a = 8.0,   b = 2.0
+//    16.0 <= |x| < 22.8    a = 16.0,  b = 1.5
+//    ( [3.25;4.0], [6.5;8.0], [13.9;16.0] subranges separated 
+//                               for monotonicity issues resolve )
+//
+// 4. Saturation path: 22.8 <= |x| < +INF 
+//    Return tanhl(x) = sign(x)*(1.0 - tiny_value)
+//    (tiny_value ~ 1e-1233)
+//
+// Implementation notes
+// --------------------
+//
+// 1. Special path: x = 0, INF, NaNa, denormals
+//
+//    This branch is cut off by one fclass operation.
+//    Then zeros+nans, infinities and denormals processed separately.
+//    For denormals we use simple fma operaton x+x*x (- for +denorms)
+//
+// 2. [0;1/8] path: 0.0 < |x| < 1/8
+//
+//    Here we use simple polynimial computations, where last step
+//    is performed as x + x^3*A3+...
+//    The rest of polynomial is factorized using binary tree technique.
+//
+// 3. Main path: 1/8 <= |x| < 22.8
+//
+//    Multiprecision have to be performed only for first few
+//    polynomial iterations (up to 3-rd x degree)
+//    Here we use the same parallelisation way as above:
+//    Split whole polynomial to first, "multiprecision" part, and second, 
+//    so called "tail", native precision part.
+//
+//    1) Multiprecision part:  
+//    [v1=(A0H+A0L)+y*(A1H+A1L)] + [v2=y^2*((A2H+A2L)+y*A3)]
+//    v1 and v2 terms calculated in parallel
+//
+//    2) Tail part:
+//    v3 = x^4 * ( A4 + x*A5 + ... + x^21*A25 )
+//    v3 is splitted to 2 even parts (10 coefficient in each one).
+//    These 2 parts are also factorized using binary tree technique.
+//    
+//    So Multiprecision and Tail parts cost is almost the same
+//    and we have both results ready before final summation.
+//
+//    Some tricks were applied to maintain symmetry at direct
+//    rounding modes (to +/-inf). We had to set result sign
+//    not at the last operation but much more earlier and at
+//    several places.
+//
+// 4. Saturation path: 22.8 <= |x| < +INF 
+//
+//    We use formula sign(x)*(1.0 - tiny_value) instead of simple sign(x)*1.0
+//    just to meet IEEE requirements for different rounding modes in this case.
+//
+// Registers used
+//==============================================================
+// Floating Point registers used: 
+// f8 - input & output
+// f32 -> f92
+
+// General registers used:  
+// r2, r3, r32 -> r52 
+
+// Predicate registers used:
+// p0, p6 -> p11, p14, p15
+
+// p6  - arg is zero, denormal or special IEEE
+// p7  - arg is in [16;32] binary interval
+// p8  - arg is in one of subranges 
+//         [3.25;4.0], [6.5;8.0], [13.9;16.0]
+// p9  - arg < 1/8
+// p10  - arg is NOT in one of subranges 
+//         [3.25;4.0], [6.5;8.0], [13.9;16.0]
+// p11 - arg in saturation domain
+// p14 - arg is positive
+// p15 - arg is negative
+
+// Assembly macros
+//==============================================================
+rDataPtr           = r2
+rTailDataPtr       = r3
+
+rBias              = r33
+rSignBit           = r34
+rInterval          = r35
+
+rArgExp            = r36
+rArgSig            = r37
+r3p25Offset        = r38
+r2to4              = r39
+r1p25              = r40
+rOffset            = r41
+r1p5               = r42
+rSaturation        = r43
+r1625Sign          = r44
+rTiny              = r45
+rAddr1             = r46
+rAddr2             = r47
+rTailAddr1         = r48
+rTailAddr2         = r49
+rTailOffset        = r50
+rTailAddOffset     = r51
+rShiftedDataPtr    = r52
+
+//==============================================================
+fA0H               = f32
+fA0L               = f33
+fA1H               = f34
+fA1L               = f35
+fA2H               = f36
+fA2L               = f37
+fA3                = f38
+fA4                = f39
+fA5                = f40
+fA6                = f41
+fA7                = f42
+fA8                = f43
+fA9                = f44
+fA10               = f45
+fA11               = f46
+fA12               = f47
+fA13               = f48
+fA14               = f49
+fA15               = f50
+fA16               = f51
+fA17               = f52
+fA18               = f53
+fA19               = f54
+fA20               = f55 
+fA21               = f56 
+fA22               = f57 
+fA23               = f58
+fA24               = f59
+fA25               = f60
+
+fArgSqr            = f61
+fArgCube           = f62
+fArgFour           = f63
+fArgEight          = f64
+
+fArgAbsNorm        = f65
+fArgAbsNorm2       = f66
+fArgAbsNorm2L      = f67
+fArgAbsNorm3       = f68
+fArgAbsNorm4       = f69
+fArgAbsNorm11      = f70
+
+fRes               = f71
+fResH              = f72
+fResL              = f73
+fRes1H             = f74
+fRes1L             = f75
+fRes1Hd            = f76
+fRes2H             = f77
+fRes2L             = f78
+fRes3H             = f79
+fRes3L             = f80
+fRes4              = f81
+
+fTT                = f82 
+fTH                = f83
+fTL                = f84
+fTT2               = f85 
+fTH2               = f86
+fTL2               = f87
+
+f1p5               = f88
+f2p0               = f89
+fTiny              = f90
+fSignumX           = f91
+fArgAbsNorm4X      = f92
+
+// Data tables
+//==============================================================
+RODATA
+
+.align 16
+LOCAL_OBJECT_START(tanhl_data)
+
+////////// Main tables ///////////
+_0p125_to_0p25_data: // exp = 2^-3
+// Polynomial coefficients for the tanh(x), 1/8 <= |x| < 1/4 
+data8 0x93D27D6AE7E835F8, 0x0000BFF4 //A3 = -5.6389704216278164626050408239e-04
+data8 0xBF66E8668A78A8BC //A2H = -2.7963640930198357253955165902e-03
+data8 0xBBD5384EFD0E7A54 //A2L = -1.7974001252014762983581666453e-20
+data8 0x3FBEE69E31DB6156 //A1H = 1.2070645062647619716322822114e-01
+data8 0x3C43A0B4E24A3DCA //A1L = 2.1280460108882061756490131241e-18
+data8 0x3FC7B8FF903BF776 //A0H = 1.8533319990813951205765874874e-01
+data8 0x3C593F1A61986FD4 //A0L = 5.4744612262799573374268254539e-18
+data8 0xDB9E6735560AAE5A, 0x0000BFA3 //A25 = -3.4649731131719154051239475238e-28
+data8 0xF0DDE953E4327704, 0x00003FA4 //A24 = 7.6004173864565644629900702857e-28
+data8 0x8532AED11DEC5612, 0x00003FAB //A23 = 5.3798235684551098715428515761e-26
+data8 0xAEF72A34D88B0038, 0x0000BFAD //A22 = -2.8267199091484508912273222600e-25
+data8 0x9645EF1DCB759DDD, 0x0000BFB2 //A21 = -7.7689413112830095709522203109e-24
+data8 0xA5D12364E121F70F, 0x00003FB5 //A20 = 6.8580281614531622113161030550e-23
+data8 0x9CF166EA815AC705, 0x00003FB9 //A19 = 1.0385615003184753213024737634e-21
+data8 0x852B1D0252498752, 0x0000BFBD //A18 = -1.4099753997949827217635356478e-20
+data8 0x9270F5716D25EC9F, 0x0000BFC0 //A17 = -1.2404055949090177751123473821e-19
+data8 0xC216A9C4EEBDDDCA, 0x00003FC4 //A16 = 2.6303900460415782677749729120e-18
+data8 0xDCE944D89FF592F2, 0x00003FC6 //A15 = 1.1975620514752377092265425941e-17
+data8 0x83C8DDF213711381, 0x0000BFCC //A14 = -4.5721980583985311263109531319e-16
+LOCAL_OBJECT_END(tanhl_data)
+
+LOCAL_OBJECT_START(_0p25_to_0p5_data)
+// Polynomial coefficients for the tanh(x), 1/4 <= |x| < 1/2 
+data8 0xB6E27B747C47C8AD, 0x0000BFF6 //A3 = -2.7905990032063258105302045572e-03
+data8 0xBF93FD54E226F8F7 //A2H = -1.9521070769536099515084615064e-02
+data8 0xBC491BC884F6F18A //A2L = -2.7222721075104525371410300625e-18
+data8 0x3FCBE3FBB015A591 //A1H = 2.1789499376181400980279079249e-01
+data8 0x3C76AFC2D1AE35F7 //A1L = 1.9677459707672596091076696742e-17
+data8 0x3FD6EF53DE8C8FAF //A0H = 3.5835739835078589399230963863e-01
+data8 0x3C8E2A1C14355F9D //A0L = 5.2327050592919416045278607775e-17
+data8 0xF56D363AAE3BAD53, 0x00003FBB //A25 = 6.4963882412697389947564301120e-21
+data8 0xAD6348526CEEB897, 0x0000BFBD //A24 = -1.8358149767147407353343152624e-20
+data8 0x85D96A988565FD65, 0x0000BFC1 //A23 = -2.2674950494950919052759556703e-19
+data8 0xD52CAF6B1E4D9717, 0x00003FC3 //A22 = 1.4445269502644677106995571101e-18
+data8 0xBD7E1BE5CBEF7A01, 0x00003FC5 //A21 = 5.1362075721080004718090799595e-18
+data8 0xAE84A9B12ADD6948, 0x0000BFC9 //A20 = -7.5685210830925426342786733068e-17
+data8 0xEAC2D5FCF80E250C, 0x00003FC6 //A19 = 1.2726423522879522181100392135e-17
+data8 0xE0D2A8AC8C2EDB95, 0x00003FCE //A18 = 3.1200443098733419749016380203e-15
+data8 0xB22F0AB7B417F78E, 0x0000BFD0 //A17 = -9.8911854977385933809488291835e-15
+data8 0xE25A627BAEFFA7A4, 0x0000BFD3 //A16 = -1.0052095388666003876301743498e-13
+data8 0xC90F32EC4A17F908, 0x00003FD6 //A15 = 7.1430637679768183097897337145e-13
+data8 0x905F6F124AF956B1, 0x00003FD8 //A14 = 2.0516607231389483452611375485e-12
+LOCAL_OBJECT_END(_0p25_to_0p5_data)
+
+LOCAL_OBJECT_START(_0p5_to_1_data)
+// Polynomial coefficients for the tanh(x), 1/2 <= |x| < 1 
+data8 0xAB402BE491EE72A7, 0x00003FF7 //A3 = 5.2261556931080934657023772945e-03
+data8 0xBFB8403D3DDA87BE //A2H = -9.4730212784752659826992271519e-02
+data8 0xBC6FF7BC2AB71A8B //A2L = -1.3863786398568460929625760740e-17
+data8 0x3FD3173B1EFA6EF4 //A1H = 2.9829290414066567116435635398e-01
+data8 0x3C881E4DCABDE840 //A1L = 4.1838710466827119847963316219e-17
+data8 0x3FE45323E552F228 //A0H = 6.3514895238728730220145735075e-01
+data8 0x3C739D5832BF7BCF //A0L = 1.7012977006567066423682445459e-17
+data8 0xF153980BECD8AE12, 0x00003FD0 //A25 = 1.3396313991261493342597057700e-14
+data8 0xEC9ACCD245368129, 0x0000BFD3 //A24 = -1.0507358886349528807350792383e-13
+data8 0x8AE6498CA36D2D1A, 0x00003FD4 //A23 = 1.2336759149738309660361813001e-13
+data8 0x8DF02FBF5AC70E64, 0x00003FD7 //A22 = 1.0085317723615282268326194551e-12
+data8 0x9E15C7125DA204EE, 0x0000BFD9 //A21 = -4.4930478919612724261941857560e-12
+data8 0xA62C6F39BDDCEC1C, 0x00003FD7 //A20 = 1.1807342457875095150035780314e-12
+data8 0xDFD8D65D30F80F52, 0x00003FDC //A19 = 5.0896919887121116317817665996e-11
+data8 0xB795AFFD458F743E, 0x0000BFDE //A18 = -1.6696932710534097241291327756e-10
+data8 0xFEF30234CB01EC89, 0x0000BFDD //A17 = -1.1593749714588103589483091370e-10
+data8 0xA2F638356E13761E, 0x00003FE2 //A16 = 2.3714062288761887457674853605e-09
+data8 0xC429CC0D031E4FD5, 0x0000BFE3 //A15 = -5.7091025466377379046489586383e-09
+data8 0xC78363FF929EFF62, 0x0000BFE4 //A14 = -1.1613199289622686725595739572e-08
+LOCAL_OBJECT_END(_0p5_to_1_data)
+
+LOCAL_OBJECT_START(_1_to_2_data)
+// Polynomial coefficients for the tanh(x), 1 <= |x| < 2.0 
+data8 0xB3D8FB48A548D99A, 0x00003FFB //A3 = 8.7816203264683800892441646129e-02
+data8 0xBFC4EFBD8FB38E3B //A2H = -1.6356629864377389416141284073e-01
+data8 0xBC77687FD8087B23 //A2L = -2.0303377679446772162287121190e-17
+data8 0x3FC72165282C6F72 //A1H = 1.8070663892364852154415189034e-01
+data8 0x3C64E01F7A76D777 //A1L = 9.0532964466719018524360408402e-18
+data8 0x3FECF6F9786DF577 //A0H = 9.0514825364486639625027919465e-01
+data8 0x3C8834EDCE71A65B //A0L = 4.1992023813070331863928976191e-17
+data8 0xC3EEEB3EFA688094, 0x00003FE2 //A25 = 2.8512044383274095705865793485e-09
+data8 0x88461973672AEB12, 0x0000BFE1 //A24 = -9.9152258079470849685057375343e-10
+data8 0xFC2AF9950DC5027E, 0x0000BFE4 //A23 = -1.4678101918123116001692289670e-08
+data8 0x9C80CA742F89B7B5, 0x00003FE6 //A22 = 3.6438714992394138274843759814e-08
+data8 0xA0B3D7FAA606260A, 0x0000BFE6 //A21 = -3.7416469848124568887944709492e-08
+data8 0xDA5858432FBD9D9D, 0x0000BFE6 //A20 = -5.0837429421503142141842414978e-08
+data8 0xB0244D1E1AE9C1B0, 0x00003FE9 //A19 = 3.2808967255272595749004827841e-07
+data8 0xC8D3109ACF740738, 0x0000BFEA //A18 = -7.4812945767507614821609020680e-07
+data8 0xBB0F3440EEA55BBF, 0x00003FEA //A17 = 6.9685053481643125932497676583e-07
+data8 0xC13A8B08D8576C19, 0x00003FEB //A16 = 1.4396658837712390333960587173e-06
+data8 0xFF3A1163CC5522A1, 0x0000BFED //A15 = -7.6063522055104010298762276148e-06
+data8 0x8672AF27EB0823B7, 0x00003FEF //A14 = 1.6027448793338500004496520337e-05
+LOCAL_OBJECT_END(_1_to_2_data)
+
+LOCAL_OBJECT_START(_2_to_3p25_data)
+// Polynomial coefficients for the tanh(x), 2 <= |x| < 3.25 
+data8 0xD45657BEC559E366, 0x00003FFA //A3 = 5.1840155367548909799883161889e-02
+data8 0xBFA41B109CA6AB81 //A2H = -3.9268988726084870510835145296e-02
+data8 0xBC2C3D708A4E56C5 //A2L = -7.6544669252238280132415018518e-19
+data8 0x3F9434A517BBC5F4 //A1H = 1.9732074330880380874653212686e-02
+data8 0x3C3ED62DD9585229 //A1L = 1.6716574468135097509707871438e-18
+data8 0x3FEFD77D111A0AFF //A0H = 9.9505475368673035330147058630e-01
+data8 0x3C9C415E151C6CA5 //A0L = 9.8030409604070051319822874013e-17
+data8 0xB1596391D4534D52, 0x00003FEC //A25 = 2.6427086526487251988631279067e-06
+data8 0xC4DC44E243D1AF5F, 0x00003FEF //A24 = 2.3467591534149209236830008333e-05
+data8 0xAED5786023982BB8, 0x00003FF0 //A23 = 4.1683642395739762658623742687e-05
+data8 0xCF39926C9FBC6A10, 0x00003FF0 //A22 = 4.9406263949321793291856681624e-05
+data8 0xA255A72359928142, 0x00003FF0 //A21 = 3.8703580278108400672236161973e-05
+data8 0xA2E573B9FC332C0D, 0x00003FED //A20 = 4.8546879618263642155709302480e-06
+data8 0x82C7BD01830ACA93, 0x00003FF0 //A19 = 3.1180436075031301077175550468e-05
+data8 0xB38AF4C76E96444B, 0x0000BFF0 //A18 = -4.2806338675404452784440167120e-05
+data8 0xEC08FF0FB194464C, 0x00003FF0 //A17 = 5.6275163156181928637744511210e-05
+data8 0xB850825D9E235135, 0x0000BFF0 //A16 = -4.3943998628289568813056822585e-05
+data8 0xF98436E838763687, 0x0000BFEF //A15 = -2.9744680263523220185672219686e-05
+data8 0xE1851A2D00737A5D, 0x00003FF2 //A14 = 2.1507256570895163202182573369e-04
+LOCAL_OBJECT_END(_2_to_3p25_data)
+
+LOCAL_OBJECT_START(_4_to_6p5_data)
+// Polynomial coefficients for the tanh(x), 4 <= |x| < 6.5 
+data8 0x896FDBD321A0BE58, 0x00003FF5 //A3 = 1.0485606995331904734870550114e-03
+data8 0xBF39C522B95A37D6 //A2H = -3.9321992640217512306882730044e-04
+data8 0xBBA9B3EC39A45338 //A2L = -2.7213922673282819034134988241e-21
+data8 0x3F19C5377A48B5AD //A1H = 9.8306189621330793766869338146e-05
+data8 0x3BCAFCB1D08A891C //A1L = 1.1429476443042275163117526657e-20
+data8 0x3FEFFFE63ABE253B //A0H = 9.9998771165079547440512897083e-01
+data8 0x3C9BB74C4EE0D16F //A0L = 9.6159219890436197391279544561e-17
+data8 0x8D86121D469AFA7E, 0x0000BFEF //A25 = -1.6870941388985743600323604423e-05
+data8 0x9D3656A36593C5C4, 0x00003FEF //A24 = 1.8741161763079973068909254398e-05
+data8 0xDCD772D5BF9ADB96, 0x00003FF0 //A23 = 5.2652739523018349983563695656e-05
+data8 0xFF79ADCF0DCBCC2D, 0x00003FF1 //A22 = 1.2182012003034659966028035977e-04
+data8 0x84D24E394DEFD0D2, 0x00003FF1 //A21 = 6.3334229517535065590380468696e-05
+data8 0xA66B56BFD2782544, 0x00003FF1 //A20 = 7.9354902476954571736114945842e-05
+data8 0xFB15771FBF3155FE, 0x0000BFEE //A19 = -1.4965763624796745134798717707e-05
+data8 0xC774790126BE54C3, 0x00003FEF //A18 = 2.3776885435831770523136610539e-05
+data8 0x825A13DACB8C68CD, 0x00003FEF //A17 = 1.5539153272890695426189818556e-05
+data8 0xCFF96E6810AACE27, 0x0000BFF1 //A16 = -9.9169893703251156059893890295e-05
+data8 0x8A85D2061B865024, 0x00003FF3 //A15 = 2.6421115104625621420758344535e-04
+data8 0x922EC6F3CFE0496E, 0x0000BFF4 //A14 = -5.5764283474946207558456581668e-04
+LOCAL_OBJECT_END(_4_to_6p5_data)
+
+LOCAL_OBJECT_START(_8_to_13_data)
+// Polynomial coefficients for the tanh(x), 8 <= |x| < 13 
+data8 0xDD6050A898303460, 0x00003FE6 //A3 = 5.1543170295688189081352133793e-08
+data8 0xBE44C1078FDBADC0 //A2H = -9.6643444318955652627581125180e-09
+data8 0xBAF95FCAA6DBBA6F //A2L = -1.3118146684038113473094275420e-24
+data8 0x3E14C1078FE26748 //A1H = 1.2080430540780827633746315479e-09
+data8 0x3A88168082F37D95 //A1L = 9.7290246966246404028418245094e-27
+data8 0x3FEFFFFFFFF59F7C //A0H = 9.9999999992449728480892190419e-01
+data8 0x3C7C068EBC5C2EEB //A0L = 2.4308346546749583521003998922e-17
+data8 0x9DC155C77A6C46E5, 0x00003FF2 //A25 = 1.5044709695520252096006763473e-04
+data8 0xF2F9E09CA47F46E9, 0x00003FF3 //A24 = 4.6344010077547944693833282056e-04
+data8 0xCBFD67E704734BC8, 0x00003FF4 //A23 = 7.7815958662026429864083620142e-04
+data8 0xC18DC821CD67E621, 0x00003FF4 //A22 = 7.3834928521190855055818897104e-04
+data8 0x8AF72BCAB05A296E, 0x00003FF4 //A21 = 5.3011135848666430331904214879e-04
+data8 0xC2E73BE9B9AB4007, 0x00003FF2 //A20 = 1.8587423129049905806822275188e-04
+data8 0xE7E8C2058E2FF9F7, 0x00003FF1 //A19 = 1.1058292891321512917337425414e-04
+data8 0xC46309F52E429F97, 0x0000BFF0 //A18 = -4.6822278664829811025251866877e-05
+data8 0x81966C1E007E9BEB, 0x00003FF1 //A17 = 6.1792176836716291200611553354e-05
+data8 0x8CEDC4BEFCAB9A7E, 0x0000BFF1 //A16 = -6.7200080564674449915571760779e-05
+data8 0x8B64E9FA53210018, 0x00003FF1 //A15 = 6.6468331917938095774361868182e-05
+data8 0x82DEDAA539A3A3F1, 0x0000BFF1 //A14 = -6.2403928644276709411156885292e-05
+LOCAL_OBJECT_END(_8_to_13_data)
+
+LOCAL_OBJECT_START(_16_to_22p8_data)
+// Polynomial coefficients for the tanh(x), 16 <= |x| < 22.88 
+data8 0x992C00F33DDE804D, 0x00003FCE //A3 = 2.1256869805798788337547274131e-15
+data8 0x3C8D42EA28102760 //A2H = 5.0760412270332007485198379096e-17
+data8 0x391A747B43B072DD //A2L = 1.2737621993898125881520341053e-33
+data8 0x3C309BC5C3CB4D5F //A1H = 9.0034785192019775952205276560e-19
+data8 0x38A8EF3B5C9DCE71 //A1L = 9.3793162715476168397242934494e-36
+data8 0x3FF0000000000000 //A0H = 1.0000000000000000000000000000e+00
+data8 0x3BACC66AFD5CA22A //A0L = 3.0466790472070565954180861749e-21
+data8 0xF020FB351C2F37CB, 0x00003FF1 //A25 = 1.1450235038836625246604146870e-04
+data8 0xBE80596C51302A7B, 0x00003FF4 //A24 = 7.2670503421185030764546828414e-04
+data8 0x91343CF8577E0131, 0x00003FF6 //A23 = 2.2156380512949603402001207105e-03
+data8 0x8D029A8679641286, 0x00003FF7 //A22 = 4.3032888906494613055765544559e-03
+data8 0xC3713F64D8DC4BAB, 0x00003FF7 //A21 = 5.9644279041951657632420721490e-03
+data8 0xCD678C455A5D06C2, 0x00003FF7 //A20 = 6.2684473911812928601693994403e-03
+data8 0xA9E1C825BDCEEBCC, 0x00003FF7 //A19 = 5.1843859941826642445235686826e-03
+data8 0xE29C919AD93F6EB9, 0x00003FF6 //A18 = 3.4578185539872939928152204329e-03
+data8 0xF7E615A75994A607, 0x00003FF5 //A17 = 1.8913175041916131006881986311e-03
+data8 0xE102EFE0F7F2B2AD, 0x00003FF4 //A16 = 8.5835064987089641065525269712e-04
+data8 0xAAD62946DEE96996, 0x00003FF3 //A15 = 3.2584489313998677644253007210e-04
+data8 0xDA2470DE110B293E, 0x00003FF1 //A14 = 1.0401837693241806604296821650e-04
+LOCAL_OBJECT_END(_16_to_22p8_data)
+
+LOCAL_OBJECT_START(_3p25_to_4_data)
+// Polynomial coefficients for the tanh(x), 3.25 <= |x| < 4 
+data8 0xE9E07240432926E6, 0x00003FF7 //A3 = 7.1373517862636557382403555215e-03
+data8 0xBF75F495227AF306 //A2H = -5.3602052282115727338540622782e-03
+data8 0xBBBE92D355A6B716 //A2L = -6.4741983326810209847018826624e-21
+data8 0x3F65F85AD510B690 //A1H = 2.6819013660517934671823070403e-03
+data8 0x3C159A0B73E6EC01 //A1L = 2.9275813076637328121849573333e-19
+data8 0x3FEFFA81708A0B42 //A0H = 9.9932929973906703402519724477e-01
+data8 0x3C66857246C19DC6 //A0L = 9.7670460995685717424398031188e-18
+data8 0xE6B6B8365B1E4D6C, 0x00003FE3 //A25 = 6.7146538162212081470554423396e-09
+data8 0xE0453CEEF483A510, 0x00003FE2 //A24 = 3.2635647369924061614015292015e-09
+data8 0x9C7D83B56E92CF1A, 0x00003FE5 //A23 = 1.8217867585545497089756353348e-08
+data8 0xA94635C48ABA9EB4, 0x0000BFE4 //A22 = -9.8530586070049930796756799547e-09
+data8 0xB1B0C14443067646, 0x00003FE5 //A21 = 2.0685890807654992387562340307e-08
+data8 0x9C6E549781E293C3, 0x00003FDE //A20 = 1.4227314592865135171341122138e-10
+data8 0xB0CBFCE7C80F57A7, 0x0000BFE7 //A19 = -8.2327438416004542109809245219e-08
+data8 0xB151AB3876E896E1, 0x00003FE9 //A18 = 3.3028241036175815328309577940e-07
+data8 0xFCF3A5C1A5CB7EEE, 0x0000BFEA //A17 = -9.4231869277542043001280640966e-07
+data8 0x96A9016C7C95BEDA, 0x00003FEC //A16 = 2.2450115975007100522962781833e-06
+data8 0x9B9B0A3901DEC05B, 0x0000BFED //A15 = -4.6374089937147736266514566049e-06
+data8 0x8987DF26A6789CCF, 0x00003FEE //A14 = 8.1974714257536543772040700977e-06
+LOCAL_OBJECT_END(_3p25_to_4_data)
+
+LOCAL_OBJECT_START(_6p5_to_8_data)
+// Polynomial coefficients for the tanh(x), 6.5 <= |x| < 8.0 
+data8 0xA11C8A63815E5657, 0x00003FEF //A3 = 1.9205985861286093001394561449e-05
+data8 0xBEDE355AD6CB61D8 //A2H = -7.2022479400070228499307345427e-06
+data8 0xBB8E6B50B8468A63 //A2L = -8.0518953122203408718779840543e-22
+data8 0x3EBE355B48DCF330 //A1H = 1.8005623902549165889479948488e-06
+data8 0x3B5837550FFA98DA //A1L = 8.0124491698609178046195694087e-23
+data8 0x3FEFFFFF872A91F8 //A0H = 9.9999977492967584424832239165e-01
+data8 0x3C8A43B839B4EB63 //A0L = 4.5561696441306660142461355317e-17
+data8 0xB5BC1948966B8826, 0x0000BFE6 //A25 = -4.2313421330480692560677276010e-08
+data8 0x91D0BE367389BDFC, 0x0000BFE8 //A24 = -1.3580117599617083801153887619e-07
+data8 0xFFD950AF282AB36C, 0x0000BFE8 //A23 = -2.3827784451962439125197203287e-07
+data8 0x959B1770EBB8903A, 0x0000BFE9 //A22 = -2.7866256690165347051403663794e-07
+data8 0xCC78060D1C0CFF3C, 0x0000BFE8 //A21 = -1.9042644867126442102188429523e-07
+data8 0xF8919BAF2E87F31D, 0x0000BFE8 //A20 = -2.3149771783868910586746973299e-07
+data8 0xC5B6AC942A3F2440, 0x00003FE8 //A19 = 1.8413511183396213757149263639e-07
+data8 0xABF1A4703056450A, 0x0000BFEA //A18 = -6.4054099983863829656292958643e-07
+data8 0xBB543D8BDB670453, 0x00003FEB //A17 = 1.3957102903892251890348444989e-06
+data8 0xC9D6F37700C1D092, 0x0000BFEC //A16 = -3.0076451968978522605262647414e-06
+data8 0xCA6EF4BB64E49EC8, 0x00003FED //A15 = 6.0329860989478473738709576062e-06
+data8 0xBE25D0FD069D0A93, 0x0000BFEE //A14 = -1.1333687314965721384777951065e-05
+LOCAL_OBJECT_END(_6p5_to_8_data)
+
+LOCAL_OBJECT_START(_13_to_16_data)
+// Polynomial coefficients for the tanh(x), 13 <= |x| < 16 
+data8 0x98176FD2075BDBD5, 0x00003FDB //A3 = 1.7290807363028159200235264756e-11
+data8 0xBD8C8464F76162D1 //A2H = -3.2420263805679445515400340441e-12
+data8 0xBA2D56B508E0F1FD //A2L = -1.8515322669984580704502445180e-28
+data8 0x3D5C8464F761639C //A1H = 4.0525329757100331782338488690e-13
+data8 0x3A0A09D9E328E620 //A1L = 4.1081479300866418212862258651e-29
+data8 0x3FEFFFFFFFFFFF1B //A0H = 9.9999999999997457589273608392e-01
+data8 0x3C9B9B089E9BFD89 //A0L = 9.5776165728054091471814161399e-17
+data8 0xC5395B9EC765BDB7, 0x00003FE6 //A25 = 4.5919803498257974411526879804e-08
+data8 0x9A0F1FCB1DC24C3A, 0x00003FE8 //A24 = 1.4347869798460288751020493795e-07
+data8 0x8AA5C3459FAD0B28, 0x00003FE9 //A23 = 2.5825111356333853968900510087e-07
+data8 0x9578B747988CFF9D, 0x00003FE9 //A22 = 2.7841245127068220034870119246e-07
+data8 0x810DF1A589D9CAF1, 0x00003FE9 //A21 = 2.4038267971021370956311255310e-07
+data8 0x8A00D77B9416EB75, 0x00003FE8 //A20 = 1.2852557749068320312899366352e-07
+data8 0xB2436C4A1849C498, 0x00003FE7 //A19 = 8.3010350873515703893886683374e-08
+data8 0xEA6405B18356600B, 0x00003FE3 //A18 = 6.8216675390299296071261114202e-09
+data8 0xF7606C022194B7E8, 0x00003FE5 //A17 = 2.8798432098264655723769995993e-08
+data8 0xAF4B0C453FCAF34E, 0x0000BFE5 //A16 = -2.0406809167824936143455638336e-08
+data8 0xC324C1F10D5FA7CC, 0x00003FE5 //A15 = 2.2717703170390130238356558599e-08
+data8 0xB34A2E3A4D3B9C31, 0x0000BFE5 //A14 = -2.0872076027950789618606920471e-08
+LOCAL_OBJECT_END(_13_to_16_data)
+
+
+//////// "Tail" tables //////////
+LOCAL_OBJECT_START(_0p125_to_0p25_data_tail)
+// Polynomial coefficients for the erf(x), 1/8 <= |x| < 1/4 
+data8 0x9D7D206E97ADC83A, 0x0000BFCC //A13 = -5.4639895428711257047470806445e-16
+data8 0xA8972B666A845810, 0x00003FD3 //A12 = 7.4869224589947988668562043110e-14
+data8 0x9A5B31511C9F4698, 0x0000BFD4 //A11 = -1.3709586467430093373657009487e-13
+data8 0xCBB8047BCB274982, 0x0000BFDA //A10 = -1.1580074124926108509393610532e-11
+data8 0xF95EB849E5F9247C, 0x00003FDC //A9 = 5.6700173336564916962945623180e-11
+data8 0xE7893404C6A53386, 0x00003FE1 //A8 = 1.6846457582993065168777704528e-09
+data8 0xF2E5C7E2B5F55ECC, 0x0000BFE4 //A7 = -1.4138500046802141367543484859e-08
+data8 0xF43906FF53A002C0, 0x0000BFE8 //A6 = -2.2745017243678613107034288816e-07
+data8 0xC6175D5E47D1D259, 0x00003FEC //A5 = 2.9517899220726077077586632607e-06
+data8 0xE7C2AE92CB36769B, 0x00003FEF //A4 = 2.7628001723157068127646694830e-05
+LOCAL_OBJECT_END(_0p125_to_0p25_data_tail)
+
+LOCAL_OBJECT_START(_0p25_to_0p5_data_tail)
+// Polynomial coefficients for the tanh(x), 1/4 <= |x| < 1/2 
+data8 0x9E2972C008B9965E, 0x0000BFDC //A13 = -3.5961854154738002253192260213e-11
+data8 0xC3EABA3D219BEA8A, 0x00003FDB //A12 = 2.2273173303628274478819473067e-11
+data8 0xC50FB68D960D5CD9, 0x00003FE1 //A11 = 1.4338102430978399800743148719e-09
+data8 0xB3BB92499EF2D583, 0x0000BFE3 //A10 = -5.2309100551458044083112632491e-09
+data8 0xBD915BE632F1D04E, 0x0000BFE6 //A9 = -4.4137194873936112573773943707e-08
+data8 0xBC48C813FA819141, 0x00003FE9 //A8 = 3.5070684356359066908197915734e-07
+data8 0xD3E34EA031AC611B, 0x00003FEA //A7 = 7.8934400708919584259192272835e-07
+data8 0x8EAC489D859541CD, 0x0000BFEF //A6 = -1.7007944944124693133572815137e-05
+data8 0x98D4D7E5D1508B8A, 0x00003FEF //A5 = 1.8218924920302265989878708948e-05
+data8 0xAC262F3F8CF49C02, 0x00003FF4 //A4 = 6.5669692402266433496312492412e-04
+LOCAL_OBJECT_END(_0p25_to_0p5_data_tail)
+
+LOCAL_OBJECT_START(_0p5_to_1_data_tail)
+// Polynomial coefficients for the tanh(x), 1/2 <= |x| < 1 
+data8 0xDF67FB36FFA2A538, 0x00003FE7 //A13 = 1.0403160796697495720021114635e-07
+data8 0xB7FB80FB5AFA63A4, 0x0000BFE8 //A12 = -1.7134699677764282023124981753e-07
+data8 0xC87625A0BA7D6C5F, 0x0000BFEA //A11 = -7.4677732458471897291461679095e-07
+data8 0x90DA375DD9AF6D79, 0x00003FED //A10 = 4.3169381418023765618186668159e-06
+data8 0x82DFB03317B17316, 0x0000BFED //A9 = -3.9003426534601562552753368105e-06
+data8 0xAA582FD4F3438BB4, 0x0000BFF0 //A8 = -4.0613288845040776435400454867e-05
+data8 0xB1532D8CF763B21C, 0x00003FF2 //A7 = 1.6911021594787399557528570601e-04
+data8 0x82E12AEF7CAB76C6, 0x0000BFEF //A6 = -1.5602059530458172761585925044e-05
+data8 0x83256E3D0FBA5C93, 0x0000BFF6 //A5 = -2.0011324059500451791903108104e-03
+data8 0xCC4AB2EC0965499B, 0x00003FF7 //A4 = 6.2344907419841579664122448353e-03
+LOCAL_OBJECT_END(_0p5_to_1_data_tail)
+
+LOCAL_OBJECT_START(_1_to_2_data_tail)
+// Polynomial coefficients for the tanh(x), 1 <= |x| < 2.0 
+data8 0xCCAEE174EAC17F78, 0x0000BFEE //A13 = -1.2200065117856038355953618829e-05
+data8 0xA39DD0981D1A2776, 0x0000BFF0 //A12 = -3.9009204899026604074167603200e-05
+data8 0xB7104FA27FAF80D0, 0x00003FF2 //A11 = 1.7458316338540792661905876072e-04
+data8 0xB219A7274436A734, 0x0000BFF3 //A10 = -3.3969918595931391572998415468e-04
+data8 0xCCD9D03C0C73CECF, 0x00003FF2 //A9 = 1.9536097875337884986025498958e-04
+data8 0x85321EA40CFEEBEE, 0x00003FF5 //A8 = 1.0162031558369402750607778300e-03
+data8 0x81F272C08C308220, 0x0000BFF7 //A7 = -3.9656696618251138315464862909e-03
+data8 0xE8761C6BDEA9ED87, 0x00003FF7 //A6 = 7.0941580558970243020090656343e-03
+data8 0xAE4E9F3691F66877, 0x0000BFF6 //A5 = -2.6597155288710984120834711909e-03
+data8 0xCC8286B331BD8AAA, 0x0000BFF9 //A4 = -2.4964583478826523250880337777e-02
+LOCAL_OBJECT_END(_1_to_2_data_tail)
+
+LOCAL_OBJECT_START(_2_to_3p25_data_tail)
+// Polynomial coefficients for the tanh(x), 2 <= |x| < 3.25 
+data8 0x92E1711A3BD6408B, 0x0000BFF4 //A13 = -5.6030514548041036913731470443e-04
+data8 0x8B9BD885FF3E98C5, 0x00003FF5 //A12 = 1.0651304064581604055612602669e-03
+data8 0xD041356C7FA26A22, 0x0000BFF5 //A11 = -1.5888574328066952147023520244e-03
+data8 0xDFA210BE9BE6B7FD, 0x00003FF5 //A10 = 1.7061849060196387827639060629e-03
+data8 0x8ECC3606808028E9, 0x0000BFF4 //A9 = -5.4472999329435778312080340471e-04
+data8 0xD5C053B8EEBD10C8, 0x0000BFF6 //A8 = -3.2615856552479930645151033322e-03
+data8 0xB7BFD63AC5051539, 0x00003FF8 //A7 = 1.1215171059191957498023766643e-02
+data8 0xC367C59D7FA3ADA2, 0x0000BFF9 //A6 = -2.3853193251842394834616848995e-02
+data8 0x9FC9FB890BB053CF, 0x00003FFA //A5 = 3.9010984954739386625695104667e-02
+data8 0xD01D077B42E7ED76, 0x0000BFFA //A4 = -5.0808934425896607486919526567e-02
+LOCAL_OBJECT_END(_2_to_3p25_data_tail)
+
+LOCAL_OBJECT_START(_4_to_6p5_data_tail)
+// Polynomial coefficients for the tanh(x), 4 <= |x| < 6.5 
+data8 0x870CCE8C76C52C7E, 0x00003FF5 //A13 = 1.0303499350193060915603525934e-03
+data8 0xE1431E54AD2A738B, 0x0000BFF5 //A12 = -1.7186140560972621669872002486e-03
+data8 0xAB20056533E28734, 0x00003FF6 //A11 = 2.6111615345168277554841545330e-03
+data8 0xECCB91D64718B9BD, 0x0000BFF6 //A10 = -3.6132079169671860943878776041e-03
+data8 0x94771DA3B8C2EB4F, 0x00003FF7 //A9 = 4.5308012699419563988381317896e-03
+data8 0xA7497377E4946F2C, 0x0000BFF7 //A8 = -5.1051915941441437592654444804e-03
+data8 0xA76B2D6FCA088AE9, 0x00003FF7 //A7 = 5.1092120989582196669504468168e-03
+data8 0x928C8961F33C9560, 0x0000BFF7 //A6 = -4.4723196805537430568162704711e-03
+data8 0xDBDDDF6CDE9AB9BE, 0x00003FF6 //A5 = 3.3548994514326736175581084349e-03
+data8 0x896E211733AD9D40, 0x0000BFF6 //A4 = -2.0970183170010094667442967500e-03
+LOCAL_OBJECT_END(_4_to_6p5_data_tail)
+
+LOCAL_OBJECT_START(_8_to_13_data_tail)
+// Polynomial coefficients for the tanh(x), 8 <= |x| < 13 
+data8 0xE50C3476BED020AA, 0x00003FF0 //A13 = 5.4609221347524272615754239857e-05
+data8 0xBA16F5F4EDC0EABC, 0x0000BFF0 //A12 = -4.4367239594986428539386662937e-05
+data8 0x8B916C2F002C3D91, 0x00003FF0 //A11 = 3.3275617838067362533536610680e-05
+data8 0xBFE8031097CB4442, 0x0000BFEF //A10 = -2.2877013297722792747267224605e-05
+data8 0xEFE1FFD106B2DA41, 0x00003FEE //A9 = 1.4298129659899553350478452989e-05
+data8 0x86EF1FF403A6622E, 0x0000BFEE //A8 = -8.0426979849841642112688693288e-06
+data8 0x86EF200FD047306B, 0x00003FED //A7 = 4.0213490418736097707257704218e-06
+data8 0xEC22782377882553, 0x0000BFEB //A6 = -1.7593402092805559754997565942e-06
+data8 0xB119DA1DB7C47773, 0x00003FEA //A5 = 6.5975257917246601211360847253e-07
+data8 0xDD6050A7761D67BB, 0x0000BFE8 //A4 = -2.0617268111985310661707082242e-07
+LOCAL_OBJECT_END(_8_to_13_data_tail)
+
+LOCAL_OBJECT_START(_16_to_22p8_data_tail)
+// Polynomial coefficients for the tanh(x), 16 <= |x| < 22.88 
+data8 0xEAF4AF87336E81B1, 0x00003FEF //A13 = 2.8008914392791730186582989654e-05
+data8 0xD5B309EA768E2711, 0x00003FED //A12 = 6.3687375204024238267961143128e-06
+data8 0xA4048CA537113538, 0x00003FEB //A11 = 1.2220276227448617951538196845e-06
+data8 0xD3EC78BB3425377D, 0x00003FE8 //A10 = 1.9736934193679794194181457250e-07
+data8 0xE5763CD37440266E, 0x00003FE5 //A9 = 2.6712876934440631473215182284e-08
+data8 0xCECA765EEB4A265F, 0x00003FE2 //A8 = 3.0092031912460315516888139627e-09
+data8 0x99ABF588DF81A52E, 0x00003FDF //A7 = 2.7952722177649984066847682907e-10
+data8 0xB9C78918294A4685, 0x00003FDB //A6 = 2.1120676552098603524020495036e-11
+data8 0xB3A3C42AD539D50F, 0x00003FD7 //A5 = 1.2764169243389521270291967366e-12
+data8 0x86BC347939478174, 0x00003FD3 //A4 = 5.9834437707863962671883176163e-14
+LOCAL_OBJECT_END(_16_to_22p8_data_tail)
+
+LOCAL_OBJECT_START(_3p25_to_4_data_tail)
+// Polynomial coefficients for the tanh(x), 3.25 <= |x| < 4 
+data8 0xBE9A2BE19F21BA1C, 0x0000BFEE //A13 = -1.1360778336288065244475976873e-05
+data8 0xF84910F515BDB014, 0x00003FED //A12 = 7.3994819819577018481862729782e-06
+data8 0xC4C84FB788AA4007, 0x00003FEF //A11 = 2.3458298013663976251972482656e-05
+data8 0x86CC6243C170E5ED, 0x0000BFF2 //A10 = -1.2855374755847770638424932233e-04
+data8 0xD3065AC539ABABFF, 0x00003FF3 //A9 = 4.0249790677367806832685138089e-04
+data8 0x82C4413795EC381B, 0x0000BFF5 //A8 = -9.9767013652382759950854031514e-04
+data8 0x88D588720888899A, 0x00003FF6 //A7 = 2.0879228705174076794011525274e-03
+data8 0xF4CA066137741469, 0x0000BFF6 //A6 = -3.7351861548964870836350490741e-03
+data8 0xB998746D56E81737, 0x00003FF7 //A5 = 5.6639259807333999973200378964e-03
+data8 0xE93FB2F48233275B, 0x0000BFF7 //A4 = -7.1181892208343798194003322900e-03
+LOCAL_OBJECT_END(_3p25_to_4_data_tail)
+
+LOCAL_OBJECT_START(_6p5_to_8_data_tail)
+// Polynomial coefficients for the tanh(x), 6.5 <= |x| < 8.0 
+data8 0xA6881D7D21774BFD, 0x00003FEF //A13 = 1.9852125640303530752913966680e-05
+data8 0x875E983AA042E605, 0x0000BFF0 //A12 = -3.2274606306629334402383651599e-05
+data8 0xCB19E01E94FC133C, 0x00003FF0 //A11 = 4.8423069963831314927026982707e-05
+data8 0x8BA5E8D9E72D56B2, 0x0000BFF1 //A10 = -6.6589395655200734237190902534e-05
+data8 0xAE91F647ED4E46B2, 0x00003FF1 //A9 = 8.3241541003842930001632190258e-05
+data8 0xC465A7E0B22F884E, 0x0000BFF1 //A8 = -9.3649431639051891449916386619e-05
+data8 0xC4666148AA01A4D7, 0x00003FF1 //A7 = 9.3650780646160216748407869111e-05
+data8 0xABD9E63D181B0C6C, 0x0000BFF1 //A6 = -8.1945023256769295802996591839e-05
+data8 0x80E38B18E509387A, 0x00003FF1 //A5 = 6.1458988764532931141264026311e-05
+data8 0xA11C80E20ADA5A64, 0x0000BFF0 //A4 = -3.8411937140983728563216440713e-05
+LOCAL_OBJECT_END(_6p5_to_8_data_tail)
+
+LOCAL_OBJECT_START(_13_to_16_data_tail)
+// Polynomial coefficients for the tanh(x), 13 <= |x| < 16 
+data8 0x9D6CCDA4767CA6D9, 0x00003FE5 //A13 = 1.8326683535066775712253572575e-08
+data8 0xFFAF154F334BF403, 0x0000BFE4 //A12 = -1.4882762852665077172347508377e-08
+data8 0xBFC68FA7C61B6C17, 0x00003FE4 //A11 = 1.1162810813806544919835662888e-08
+data8 0x83D8439A6B19A015, 0x0000BFE4 //A10 = -7.6743763372603959795701788561e-09
+data8 0xA4CE5BE9DC6A2962, 0x00003FE3 //A9 = 4.7964885012772346158732715382e-09
+data8 0xB96826C0697253CA, 0x0000BFE2 //A8 = -2.6980246373950994097953903952e-09
+data8 0xB96826CADDC00E35, 0x00003FE1 //A7 = 1.3490123232313844006540534789e-09
+data8 0xA23B21F1155DF322, 0x0000BFE0 //A6 = -5.9019289132168830718664922372e-10
+data8 0xF358B2E9A50C349C, 0x00003FDE //A5 = 2.2132233424669131155945897524e-10
+data8 0x98176FD2074C1D77, 0x0000BFDD //A4 = -6.9163229452106125388824134881e-11
+LOCAL_OBJECT_END(_13_to_16_data_tail)
+
+LOCAL_OBJECT_START(_0_to_1o8_data)
+// Polynomial coefficients for the tanh(x), 0.0 <= |x| < 0.125 
+data8 0xBA0EC1879495150B, 0x0000BFF5 // A15 = -1.4195071451378679802688367813e-03
+data8 0xEB5A82898D1BCBA4, 0x00003FF6 // A13 = 3.5912102408030526706365632879e-03
+data8 0x91370DAFE0B64438, 0x0000BFF8 // A11 = -8.8632234251336964576640807982e-03
+data8 0xB327A435358F1200, 0x00003FF9 // A9 = 2.1869488447622383899199238857e-02
+data8 0xDD0DD0DD07A0775F, 0x0000BFFA // A7 = -5.3968253967902161405327069187e-02
+data8 0x888888888887C299, 0x00003FFC // A5 = 1.3333333333333264660338062012e-01
+data8 0xAAAAAAAAAAAAAA98, 0x0000BFFD // A3 = -3.3333333333333333282255458755e-01
+LOCAL_OBJECT_END(_0_to_1o8_data)
+
+
+.section .text
+GLOBAL_LIBM_ENTRY(tanhl)
+
+{ .mfi
+      alloc          r32         = ar.pfs, 0, 21, 0, 0 
+      fmerge.se      fArgAbsNorm = f1, f8      // normalized x (1.0 <= x < 2.0)
+      addl           rSignBit    = 0x20000, r0 // Set sign bit for exponent
+}
+{ .mlx
+      addl           rDataPtr    = @ltoff(tanhl_data), gp // Get common data ptr
+      movl           r1p5        = 0x3FF8000000000000    // 1.5 in dbl repres.
+};;
+
+{ .mfi
+      getf.exp       rArgExp     = f8              // Get arg exponent
+      fclass.m       p6,p0       = f8, 0xEF // Filter 0, denormals and specials 
+                            // 0xEF = @qnan|@snan|@pos|@neg|@zero|@unorm|@inf
+      addl           rBias       = 0xfffc, r0 // Value to subtract from exp 
+                                            // to get actual interval number
+}
+{ .mfi
+      ld8            rDataPtr    = [rDataPtr]  // Get real common data pointer
+      fma.s1         fArgSqr     = f8, f8, f0  // x^2 (for [0;1/8] path)
+      addl           r2to4       = 0x10000, r0 // unbiased exponent 
+                                             // for [2;4] binary interval
+};;
+
+{ .mfi
+      getf.sig       rArgSig     = f8              // Get arg significand 
+      fcmp.lt.s1     p15, p14    = f8, f0          // Is arg negative/positive?
+      addl           rSaturation = 0xb70, r0       // First 12 bits of
+                                                   // saturation value signif.
+}
+{ .mfi
+      setf.d         f1p5        = r1p5            // 1.5 construction 
+      fma.s1         f2p0        = f1,f1,f1        // 2.0 construction
+      addl           r1625Sign   = 0xd01, r0       // First 12 bits of
+                                                   // 1.625 value signif.
+      // 1.625 significand used to filter values greater than 3.25, 6.5, 13.0
+};;
+
+{ .mfi
+      addl           rTailDataPtr = 0xB00, rDataPtr  // Pointer to "tail" data
+      fmerge.s       fSignumX = f8, f1            // signum(x)
+      andcm          rArgExp     = rArgExp, rSignBit // Remove sign of exp
+}
+{ .mfb
+      addl           rTiny       = 0xf000, r0 // Tiny value for saturation path
+      nop.f          0
+(p6)  br.cond.spnt   tanhl_spec               // Branch to zero, denorm & specs      
+};;
+
+{ .mfi
+      sub            rInterval   = rArgExp, rBias // Get actual interval number
+      nop.f          0
+      shr.u          rArgSig     = rArgSig, 52    // Leave only 12 bits of sign. 
+}
+{ .mfi
+      adds           rShiftedDataPtr = 0x10, rDataPtr // Second ptr to data
+      nop.f          0
+      cmp.ge         p8, p10     = rArgExp, r2to4  // If exp >= 2to4 interval?
+};;
+
+{ .mfi
+(p8)  cmp.le         p8, p10     = r1625Sign, rArgSig // If signd is greater 
+                            //  than 1.625? (arg is at one of binary subranges)
+      nop.f          0
+      shl            rOffset     = rInterval, 8 // Make offset from 
+                                              // interval number
+}
+{ .mfi
+      cmp.gt         p9, p0      = 0x0, rInterval // If interval is less than 0
+                                                // (means arg is in [0; 1/8])
+      nop.f          0
+      cmp.eq         p7, p0      = 0x7, rInterval // If arg is in [16;] interv.?
+};;
+
+{ .mfi
+(p8)  adds           rOffset     = 0x400, rOffset // Add additional offset 
+                            //  (arg is at one of binary subranges)
+      fma.s1         fArgCube    = fArgSqr, f8, f0  // x^3 (for [0;1/8] path)
+      shl            rTailOffset = rInterval, 7  // Make offset to "tail" data
+                                                 // from interval number
+}
+{ .mib
+      setf.exp       fTiny       = rTiny // Construct "tiny" value 
+                                       // for saturation path
+      cmp.ltu        p11, p0     = 0x7, rInterval // if arg > 32
+(p9)  br.cond.spnt   _0_to_1o8       
+};;
+
+{ .mfi
+      add            rAddr1      = rDataPtr, rOffset // Get address for 
+                                                   // interval data 
+      nop.f          0
+      shl            rTailAddOffset = rInterval, 5 // Offset to interval
+                                                   // "tail" data 
+}
+{ .mib
+      add            rAddr2      = rShiftedDataPtr, rOffset // Get second
+                                                 // address for interval data 
+(p7)  cmp.leu        p11, p0     = rSaturation, rArgSig // if arg is 
+                                                        // in [22.8;32] interval
+(p11) br.cond.spnt   _saturation // Branch to Saturation path
+};;
+
+{ .mmi
+      ldfe           fA3         = [rAddr1], 0x90 // Load A3
+      ldfpd          fA2H, fA2L  = [rAddr2], 16 // Load A2High, A2Low
+      add            rTailOffset = rTailOffset, rTailAddOffset // "Tail" offset
+};;
+
+{ .mmi
+      ldfe           fA20        = [rAddr1], 16 // Load A20
+      ldfpd          fA1H, fA1L  = [rAddr2], 16 // Load A1High, A1Low
+(p8)  adds           rTailOffset = 0x280, rTailOffset // Additional offset
+                                    //  (arg is at one of binary subranges)
+};;
+
+{ .mmi
+      ldfe           fA19        = [rAddr1], 16 // Load A19
+      ldfpd          fA0H, fA0L  = [rAddr2], 16 // Load A0High, A0Low
+      add            rTailAddr1  = rTailDataPtr, rTailOffset // First tail
+                                                           // data address
+};;
+
+.pred.rel "mutex",p8,p10
+{ .mfi
+      ldfe           fA18        = [rAddr1], 16 // Load A18
+(p8)  fms.s1         fArgAbsNorm = fArgAbsNorm, f1, f2p0 // Add 2.0 
+                            //  (arg is at one of binary subranges)
+      adds           rTailAddr2  = 0x10, rTailAddr1  // First tail
+                                                     // data address
+}
+{ .mfi
+      ldfe           fA25        = [rAddr2], 16 // Load A25 
+(p10) fms.s1         fArgAbsNorm = fArgAbsNorm, f1, f1p5  // Add 1.5 
+                                                // to normalized arg
+      nop.i          0
+};;
+
+{ .mmi
+      ldfe           fA17        = [rAddr1], 16 // Load A17
+      ldfe           fA24        = [rAddr2], 16 // Load A24
+      nop.i          0
+};;
+
+{ .mmi
+      ldfe           fA16        = [rAddr1], 16 // Load A16
+      ldfe           fA23        = [rAddr2], 16 // Load A23
+      nop.i          0
+};;
+
+{ .mmi
+      ldfe           fA15        = [rAddr1], 16 // Load A15
+      ldfe           fA22        = [rAddr2], 16 // Load A22
+      nop.i          0
+};;
+
+{ .mmi
+      ldfe           fA14        = [rAddr1], 16 // Load A14
+      ldfe           fA21        = [rAddr2], 16 // Load A21
+      nop.i          0
+};;
+
+{ .mfi
+      ldfe           fA13        = [rTailAddr1], 32              // Load A13
+      fms.s1         fArgAbsNorm2 = fArgAbsNorm, fArgAbsNorm, f0 // x^2
+      nop.i          0
+}
+{ .mfi
+      ldfe           fA12        = [rTailAddr2], 32 // Load A12
+      nop.f          0
+      nop.i          0
+};;
+
+{ .mfi
+      ldfe           fA11        = [rTailAddr1], 32       // Load A11
+      fma.s1         fRes3H      = fA3, fArgAbsNorm, fA2H // (A3*x+A2)*x^2
+      nop.i          0
+}
+{ .mfi
+      ldfe           fA10        = [rTailAddr2], 32     // Load A10
+      fma.s1         fTH         = fA3, fArgAbsNorm, f0 // (A3*x+A2)*x^2
+      nop.i          0
+};;
+
+{ .mfi
+      ldfe           fA9         = [rTailAddr1], 32      // Load A9
+      fma.s1         fTT2        = fA1L, fArgAbsNorm, f0 // A1*x+A0
+      nop.i          0
+}
+{ .mfi
+      ldfe           fA8         = [rTailAddr2], 32 // Load A8
+      nop.f          0
+      nop.i          0
+};;
+
+{ .mmi
+      ldfe           fA7         = [rTailAddr1], 32 // Load A7
+      ldfe           fA6         = [rTailAddr2], 32 // Load A6
+      nop.i          0
+};;
+
+{ .mmi
+      ldfe           fA5         = [rTailAddr1], 32 // Load A5
+      ldfe           fA4         = [rTailAddr2], 32 // Load A4
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      fms.s1         fArgAbsNorm2L = fArgAbsNorm, fArgAbsNorm, fArgAbsNorm2
+                                                  // Low part of x^2 (delta)
+      nop.i          0
+}
+{ .mfi
+      nop.m          0
+      fms.s1         fArgAbsNorm4  = fArgAbsNorm2, fArgAbsNorm2, f0 // x^4
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      fms.s1         fRes3L      = fA2H, f1, fRes3H // // (A3*x+A2)*x^2
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      fms.s1         fArgAbsNorm3 = fArgAbsNorm2, fArgAbsNorm, f0 // x^3
+      nop.i          0
+}
+{ .mfi
+      nop.m          0
+      fma.s1         fTH2        = fA1H, fArgAbsNorm, fTT2 // A1*x+A0
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      fma.s1         fA23        = fA24,  fArgAbsNorm, fA23 // Polynomial tail
+      nop.i          0
+}
+{ .mfi 
+      nop.m          0
+      fma.s1         fA21        = fA22,  fArgAbsNorm, fA21 // Polynomial tail 
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      fma.s1         fA12        = fA13,  fArgAbsNorm, fA12 // Polynomial tail
+      nop.i          0
+}
+;;
+
+{ .mfi
+      nop.m          0
+      fma.s1         fRes3L      = fRes3L, f1, fTH // (A3*x+A2)*x^2
+      nop.i          0
+}
+{ .mfi 
+      nop.m          0
+      fma.s1         fA19        = fA20,  fArgAbsNorm, fA19 // Polynomial tail
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      fma.s1         fRes1H      = fTH2, f1, fA0H // A1*x+A0
+      nop.i          0
+}
+{ .mfi 
+      nop.m          0
+      fms.s1         fTL2        = fA1H, fArgAbsNorm, fTH2 // A1*x+A0
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      fma.s1         fA8         = fA9,  fArgAbsNorm, fA8 // Polynomial tail
+      nop.i          0
+}
+{ .mfi 
+      nop.m          0
+      fma.s1         fA10        = fA11,  fArgAbsNorm, fA10 // Polynomial tail
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      fma.s1         fA15        = fA16,  fArgAbsNorm, fA15 // Polynomial tail
+      nop.i          0
+}
+{ .mfi
+      nop.m          0
+      fma.s1         fA17        = fA18,  fArgAbsNorm, fA17 // Polynomial tail
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      fms.s1         fArgAbsNorm11 = fArgAbsNorm4, fArgAbsNorm4, f0 // x^8
+      nop.i          0
+}
+{ .mfi 
+      nop.m          0
+      fma.s1         fA4         = fA5,  fArgAbsNorm, fA4 // Polynomial tail
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      fma.s1         fRes3L      = fRes3L, f1, fA2L // (A3*x+A2)*x^2
+      nop.i          0
+}
+{ .mfi 
+      nop.m          0
+      fma.s1         fA6         = fA7,  fArgAbsNorm, fA6 // Polynomial tail
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      fma.s1         fTL2        = fTL2, f1, fTT2 // A1*x+A0
+      nop.i          0
+}
+{ .mfi 
+      nop.m          0
+      fms.s1         fRes1L      = fA0H, f1, fRes1H // A1*x+A0
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      fma.s1         fA23        = fA25,  fArgAbsNorm2, fA23 // Polynomial tail
+      nop.i          0
+}
+{ .mfi 
+      nop.m          0
+      fma.s1         fA12        = fA14,  fArgAbsNorm2, fA12 // Polynomial tail
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      fma.s1         fA19        = fA21,  fArgAbsNorm2, fA19  // Polynomial tail
+      nop.i          0
+}
+{ .mfi 
+      nop.m          0
+      fma.s1         fA8         = fA10,  fArgAbsNorm2, fA8 // Polynomial tail
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      fma.s1         fA15        = fA17,  fArgAbsNorm2, fA15 // Polynomial tail
+      nop.i          0
+}
+{ .mfi 
+      nop.m          0
+      fms.s1         fArgAbsNorm11 = fArgAbsNorm11, fArgAbsNorm3, f0 // x^11
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      fma.s1         fTT         = fRes3L, fArgAbsNorm2, f0 // (A3*x+A2)*x^2
+      nop.i          0
+}
+{ .mfi 
+      nop.m          0
+      fma.s1         fA4         = fA6,  fArgAbsNorm2, fA4 // Polynomial tail
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      fma.s1         fRes1L      = fRes1L, f1, fTH2 // A1*x+A0
+      nop.i          0
+}
+{ .mfi
+      nop.m          0
+      fms.s1         fArgAbsNorm4X  = fArgAbsNorm4, fSignumX, f0 // x^4 * signum
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      fma.s1         fA19        = fA23,  fArgAbsNorm4, fA19 // Polynomial tail
+      nop.i          0
+}
+{ .mfi 
+      nop.m          0
+      fma.s1         fA8         = fA12,  fArgAbsNorm4, fA8 // Polynomial tail
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      fma.s1         fTT         = fRes3H, fArgAbsNorm2L, fTT // (A3*x+A2)*x^2
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      fma.s1         fRes1L      = fRes1L, f1, fTL2 // A1*x+A0
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      fma.s1         fA15        = fA19,  fArgAbsNorm4, fA15 // Polynomial tail
+      nop.i          0
+}
+{ .mfi
+      nop.m          0
+      fma.s1         fA4         = fA8,  fArgAbsNorm4, fA4 // Polynomial tail
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      fma.s1         fRes2H      = fRes3H, fArgAbsNorm2, fTT // (A3*x+A2)*x^2
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      fma.s1         fRes1L      = fRes1L, f1, fA0L // A1*x+A0
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      fma.s1         fRes4       = fA15, fArgAbsNorm11, fA4 // Result of
+                                                    // polynomial tail
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      fms.s1         fRes2L      = fRes3H, fArgAbsNorm2, fRes2H // (A3*x+A2)*x^2
+      nop.i          0
+}
+{ .mfi 
+      nop.m          0
+      fma.s1         fResH       = fRes2H, f1, fRes1H // High result
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+(p14) fma.s1         fRes1L      = fRes4, fArgAbsNorm4X, fRes1L // A1*x+A0
+      nop.i          0
+}
+{ .mfi
+      nop.m          0
+(p15) fms.s1         fRes1L      = fRes4, fArgAbsNorm4X, fRes1L // A1*x+A0
+      nop.i          0
+};;
+
+{ .mfi 
+      nop.m          0
+      fma.s1         fRes2L      = fRes2L, f1, fTT // (A3*x+A2)*x^2
+      nop.i          0
+}
+{ .mfi 
+      nop.m          0
+      fms.s1         fResL       = fRes1H, f1, fResH // Low result
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+      fma.s0         fRes1L      = fRes2L, fSignumX, fRes1L // Low result
+                 // .s0 - for symmetry issue resolving at +/-inf rounding mode
+      nop.i          0
+}
+{ .mfi 
+      nop.m          0
+      fma.s1         fResL       = fResL, f1, fRes2H // Low result
+      nop.i          0
+};;
+
+{ .mfi
+      nop.m          0
+(p14) fma.s0         fResL       = fRes1L, f1, fResL // Low result
+                 // .s0 - for symmetry issue resolving at +/-inf rounding mode
+      nop.i          0
+}
+{ .mfi
+      nop.m          0
+(p15) fms.s0         fResL     = fRes1L, f1, fResL // Low result
+                 // .s0 - for symmetry issue resolving at +/-inf rounding mode
+      nop.i          0
+};;
+
+.pred.rel "mutex",p14,p15
+{ .mfi 
+      nop.m          0
+(p14) fma.s0         f8          = fResL, f1,  fResH// Add high and low results
+      nop.i          0
+}
+{ .mfb 
+      nop.m          0
+(p15) fms.s0         f8          = fResL, f1, fResH // Add high and low results
+      br.ret.sptk    b0      // Main path return
+};;
+
+//  satiration path ////////////////////////////////////////////////////////////
+_saturation:
+
+.pred.rel "mutex",p14,p15
+{ .mfi 
+      nop.m          0
+(p14) fms.s0            f8          = f1, f1, fTiny // Saturation result r = 1-tiny
+      nop.i 0
+};;
+{ .mfb 
+      nop.m          0
+(p15) fnma.s0           f8          = f1, f1, fTiny // Saturation result r = tiny-1
+      br.ret.sptk    b0     // Saturation path return
+};;
+
+
+//  0, denormals and special IEEE numbers path /////////////////////////////////
+tanhl_spec:
+
+{ .mfi 
+      nop.m          0
+      fclass.m       p6,p0       = f8, 0x23 // To filter infinities
+                                          // 0x23 = @pos|@neg|@inf 
+      nop.i          0
+};;
+
+{ .mfi 
+      nop.m          0
+      fclass.m       p7,p0       = f8, 0xC7 // To filter NaNs & Zeros
+                                 // 0xC7 = @pos|@neg|@zero|@qnan|@snan
+      nop.i          0
+};;
+
+{ .mfb 
+      nop.m          0
+(p6)  fmerge.s       f8          = f8, f1     // +/-1 for INF args 
+(p6)  br.ret.spnt    b0                       // exit for x = INF
+};;
+
+{ .mfb 
+      nop.m          0
+(p7)  fma.s0         f8          = f8, f1, f8    // +/-0 for 0 args 
+                                                 // and NaNs for NaNs
+(p7)  br.ret.spnt    b0                          // exit for x = NaN or +/-0
+};;
+
+{ .mfi 
+      nop.m          0
+      fnorm.s0       f8          = f8            // Normalize arg
+      nop.i          0
+};;
+
+.pred.rel "mutex",p14,p15
+{ .mfi 
+      nop.m          0
+(p14) fnma.s0        f8          = f8, f8, f8  // res = r-r^2
+      nop.i          0
+}
+{ .mfb 
+      nop.m          0
+(p15) fma.s0         f8          = f8, f8, f8  // res = r+r^2
+      br.ret.sptk    b0          // 0, denormals, IEEE specials return
+};;
+
+
+//  0 < |x| < 1/8 path /////////////////////////////////////////////////////////
+_0_to_1o8:
+
+{ .mmi 
+      adds           rAddr1      = 0x11e0, rDataPtr // Ptr 1 to coeffs
+      adds           rAddr2      = 0x11f0, rDataPtr // Ptr 2 to coeffs
+      nop.i          0
+};;
+
+{ .mmi 
+      ldfe           fA15        = [rAddr1], 32 // Load A15
+      ldfe           fA13        = [rAddr2], 32 // Load A13
+      nop.i          0
+};;
+
+{ .mmi 
+      ldfe           fA11        = [rAddr1], 32 // Load A11
+      ldfe           fA9         = [rAddr2], 32 // Load A9
+      nop.i          0
+};;
+
+{ .mmi 
+      ldfe           fA7         = [rAddr1], 32 // Load A7
+      ldfe           fA5         = [rAddr2]  // Load A5
+      nop.i          0
+};;
+
+{ .mfi 
+      ldfe           fA3         = [rAddr1] // Load A3
+      fma.s1         fA11        = fA13, fArgSqr, fA11 // Polynomial tail
+      nop.i          0
+}
+{ .mfi 
+      nop.m          0
+      fma.s1         fArgFour    = fArgSqr, fArgSqr, f0 // a^4        
+      nop.i          0
+};;
+
+
+{ .mfi 
+      nop.m          0
+      fma.s1         fA3         = fA5, fArgSqr, fA3 // Polynomial tail
+      nop.i          0
+}
+{ .mfi 
+      nop.m          0
+      fma.s1         fA7         = fA9, fArgSqr, fA7 // Polynomial tail
+      nop.i          0
+};;
+
+
+{ .mfi 
+      nop.m          0
+      fma.s1         fA11        = fA15, fArgFour, fA11 // Polynomial tail
+      nop.i          0
+};;
+
+{ .mfi 
+      nop.m          0
+      fma.s1         fA3         = fA7, fArgFour, fA3 // Polynomial tail
+      nop.i          0
+}
+{ .mfi 
+      nop.m          0
+      fma.s1         fArgEight   = fArgFour, fArgFour, f0 // a^8
+      nop.i          0
+};;
+
+{ .mfi 
+      nop.m          0
+      fma.s1         fRes        = fA11, fArgEight, fA3 //Polynomial tail result
+      nop.i          0
+};;
+
+{ .mfb 
+      nop.m          0
+      fma.s0         f8          = fRes, fArgCube, f8 // (Polynomial tail)*x^3
+      br.ret.sptk    b0          // [0;1/8] interval return
+};;
+  
+GLOBAL_LIBM_END(tanhl)
+
+
+
diff --git a/sysdeps/ia64/fpu/s_tanl.S b/sysdeps/ia64/fpu/s_tanl.S
index e13e6c6cbd..345a059c5f 100644
--- a/sysdeps/ia64/fpu/s_tanl.S
+++ b/sysdeps/ia64/fpu/s_tanl.S
@@ -1,10 +1,10 @@
-.file "tanl.s"
+.file "tancotl.s"
 
-// Copyright (C) 2000, 2001, Intel Corporation
+
+// Copyright (c) 2000 - 2003, Intel Corporation
 // All rights reserved.
-// 
-// Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story,
-// and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
 //
 // Redistribution and use in source and binary forms, with or without
 // modification, are permitted provided that the following conditions are
@@ -20,7 +20,7 @@
 // * The name of Intel Corporation may not be used to endorse or promote
 // products derived from this software without specific prior written
 // permission.
-//
+
 // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
 // "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
@@ -35,50 +35,77 @@
 // 
 // Intel Corporation is the author of this code, and requests that all
 // problem reports or change requests be submitted to it directly at 
-// http://developer.intel.com/opensource.
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
 //
-// *********************************************************************
+//*********************************************************************
 //
 // History: 
 //
-// 2/02/2000 (hand-optimized)
-// 4/04/00  Unwind support added
+// 02/02/00 (hand-optimized)
+// 04/04/00 Unwind support added
 // 12/28/00 Fixed false invalid flags
+// 02/06/02 Improved speed
+// 05/07/02 Changed interface to __libm_pi_by_2_reduce
+// 05/30/02 Added cotl
+// 02/10/03 Reordered header: .section, .global, .proc, .align;
+//          used data8 for long double table values
+// 05/15/03 Reformatted data tables
 //
-// *********************************************************************
+//*********************************************************************
 //
-// Function:   tanl(x) = tangent(x), for double-extended precision x values
+// Functions:   tanl(x) = tangent(x), for double-extended precision x values
+//              cotl(x) = cotangent(x), for double-extended precision x values
 //
-// *********************************************************************
+//*********************************************************************
 //
 // Resources Used:
 //
 //    Floating-Point Registers: f8 (Input and Return Value)
 //                              f9-f15
-//                              f32-f112
+//                              f32-f121
 //
 //    General Purpose Registers:
-//      r32-r48
-//      r49-r50 (Used to pass arguments to pi_by_2 reduce routine)
+//      r14-r26,r32-r57
 //
 //    Predicate Registers:      p6-p15
 //
-// *********************************************************************
+//*********************************************************************
 //
-// IEEE Special Conditions:
+// IEEE Special Conditions for tanl:
 //
 //    Denormal  fault raised on denormal inputs
 //    Overflow exceptions do not occur
-//    Underflow exceptions raised when appropriate for tan 
+//    Underflow exceptions raised when appropriate for tan
 //    (No specialized error handling for this routine)
 //    Inexact raised when appropriate by algorithm
 //
-//    tan(SNaN) = QNaN
-//    tan(QNaN) = QNaN
-//    tan(inf) = QNaN
-//    tan(+/-0) = +/-0
+//    tanl(SNaN) = QNaN
+//    tanl(QNaN) = QNaN
+//    tanl(inf) = QNaN
+//    tanl(+/-0) = +/-0
+//
+//*********************************************************************
+//
+// IEEE Special Conditions for cotl:
+//
+//    Denormal  fault raised on denormal inputs
+//    Overflow exceptions occur at zero and near zero
+//    Underflow exceptions do not occur
+//    Inexact raised when appropriate by algorithm
+//
+//    cotl(SNaN) = QNaN
+//    cotl(QNaN) = QNaN
+//    cotl(inf) = QNaN
+//    cotl(+/-0) = +/-Inf and error handling is called
+//
+//*********************************************************************
 //
-// *********************************************************************
+//    Below are mathematical and algorithmic descriptions for tanl.
+//    For cotl we use next identity cot(x) = -tan(x + Pi/2).
+//    So, to compute cot(x) we just need to increment N (N = N + 1)
+//    and invert sign of the computed result.
+//
+//*********************************************************************
 //
 // Mathematical Description
 //
@@ -106,13 +133,13 @@
 // -------
 //
 //      tan(r + c) = r + c + r^3/3          ...accurately
-//        -cot(r + c) = -1/(r+c) + r/3          ...accurately
+//     -cot(r + c) = -1/(r+c) + r/3          ...accurately
 //
 // Case 4:
 // -------
 //
 //      tan(r + c) = r + c + r^3/3 + 2r^5/15     ...accurately
-//        -cot(r + c) = -1/(r+c) + r/3 + r^3/45     ...accurately
+//     -cot(r + c) = -1/(r+c) + r/3 + r^3/45     ...accurately
 //
 //
 // The only cases left are Cases 1 and 3 of the argument reduction
@@ -143,13 +170,13 @@
 // Since Arg = N pi/4 + r + c accurately, we have
 //
 //      tan(Arg) =  tan(r+c)            for N even,
-//            = -cot(r+c)          otherwise.
+//               = -cot(r+c)            otherwise.
 //
 // Here for this case, both tan(r) and -cot(r) can be approximated
 // by simple polynomials:
 //
 //      tan(r) =    r + P1_1 r^3 + P1_2 r^5 + ... + P1_9 r^19
-//        -cot(r) = -1/r + Q1_1 r   + Q1_2 r^3 + ... + Q1_7 r^13
+//     -cot(r) = -1/r + Q1_1 r   + Q1_2 r^3 + ... + Q1_7 r^13
 //
 // accurately. Since |r| is relatively small, tan(r+c) and
 // -cot(r+c) can be accurately approximated by replacing r with
@@ -178,21 +205,21 @@
 // The required calculation is either
 //
 //      tan(r + c)  =  tan(r)  +  correction,  or
-//        -cot(r + c)  = -cot(r)  +  correction.
+//     -cot(r + c)  = -cot(r)  +  correction.
 //
 // Specifically,
 //
 //      tan(r + c) =  tan(r) + c tan'(r)  + O(c^2)
-//              =  tan(r) + c sec^2(r) + O(c^2)
-//              =  tan(r) + c SEC_sq     ...accurately
+//                 =  tan(r) + c sec^2(r) + O(c^2)
+//                 =  tan(r) + c SEC_sq     ...accurately
 //                as long as SEC_sq approximates sec^2(r)
 //                to, say, 5 bits or so.
 //
 // Similarly,
 //
-//        -cot(r + c) = -cot(r) - c cot'(r)  + O(c^2)
-//              = -cot(r) + c csc^2(r) + O(c^2)
-//              = -cot(r) + c CSC_sq     ...accurately
+//     -cot(r + c) = -cot(r) - c cot'(r)  + O(c^2)
+//                 = -cot(r) + c csc^2(r) + O(c^2)
+//                 = -cot(r) + c CSC_sq     ...accurately
 //                as long as CSC_sq approximates csc^2(r)
 //                to, say, 5 bits or so.
 //
@@ -208,14 +235,14 @@
 // where
 //
 //      B = 2^k * 1.b_1 b_2 ... b_5 1
-//         x = |r| - B
+//      x = |r| - B
 //
 // Now,
 //                   tan(B)  +   tan(x)
 //      tan( B + x ) =  ------------------------
 //                   1 -  tan(B)*tan(x)
 //
-//               /                         \ 
+//               /                         \
 //               |   tan(B)  +   tan(x)          |
 
 //      = tan(B) +  | ------------------------ - tan(B) |
@@ -248,7 +275,7 @@
 //      cot( B + x ) =  ------------------------
 //                   tan(B)  +  tan(x)
 //
-//               /                           \ 
+//               /                           \
 //               |   1 - tan(B)*tan(x)              |
 
 //      = cot(B) +  | ----------------------- - cot(B) |
@@ -273,7 +300,7 @@
 //      Arg = N * pi/2 +  r + c          ...accurately
 //
 //      tan(Arg) =  tan(r) + correction    if N is even;
-//            = -cot(r) + correction    otherwise.
+//               = -cot(r) + correction    otherwise.
 //
 // For Cases 2 and 4,
 //
@@ -292,8 +319,8 @@
 //      tan(Arg) =  r + P1_1 r^3 + P1_2 r^5 + ... + P1_9 r^19
 //                     + c*(1 + r^2)               N even
 //
-//                  = -1/(r+c) + Q1_1 r   + Q1_2 r^3 + ... + Q1_7 r^13
-//               + Q1_1*c                    N odd
+//               = -1/(r+c) + Q1_1 r   + Q1_2 r^3 + ... + Q1_7 r^13
+//                     + Q1_1*c                    N odd
 //
 //     Case normal_r: 2^(-2) <= |r| <= pi/4
 //
@@ -304,15 +331,15 @@
 //
 //      tan(Arg) = tan(r) + c*sec^2(r)
 //               = tan( sgn_r * (B+x) ) + c * sec^2(|r|)
-//                  = sgn_r * ( tan(B+x)  + sgn_r*c*sec^2(|r|) )
-//                  = sgn_r * ( tan(B+x)  + sgn_r*c*sec^2(B) )
+//               = sgn_r * ( tan(B+x)  + sgn_r*c*sec^2(|r|) )
+//               = sgn_r * ( tan(B+x)  + sgn_r*c*sec^2(B) )
 //
 // since B approximates |r| to 2^(-6) in relative accuracy.
 //
 //                 /            (1/[sin(B)*cos(B)]) * tan(x)
 //    tan(Arg) = sgn_r * | tan(B) + --------------------------------
 //                 \                     cot(B)  -  tan(x)
-//                                        \ 
+//                                        \
 //                       + CORR  |
 
 //                                     /
@@ -324,15 +351,15 @@
 //
 //      tan(Arg) = -cot(r) + c*csc^2(r)
 //               = -cot( sgn_r * (B+x) ) + c * csc^2(|r|)
-//                  = sgn_r * ( -cot(B+x)  + sgn_r*c*csc^2(|r|) )
-//                  = sgn_r * ( -cot(B+x)  + sgn_r*c*csc^2(B) )
+//               = sgn_r * ( -cot(B+x)  + sgn_r*c*csc^2(|r|) )
+//               = sgn_r * ( -cot(B+x)  + sgn_r*c*csc^2(B) )
 //
 // since B approximates |r| to 2^(-6) in relative accuracy.
 //
 //                 /            (1/[sin(B)*cos(B)]) * tan(x)
 //    tan(Arg) = sgn_r * | -cot(B) + --------------------------------
 //                 \                     tan(B)  +  tan(x)
-//                                        \ 
+//                                        \
 //                       + CORR  |
 
 //                                     /
@@ -356,8 +383,8 @@
 //    For N even,
 //
 //    rsq := r * r
-//    Result := c + r * rsq * P1_1
-//    Result := r + Result          ...in user-defined rounding
+//    Poly := c + r * rsq * P1_1
+//    Result := r + Poly          ...in user-defined rounding
 //
 //    For N odd,
 //    S_hi  := -frcpa(r)               ...8 bits
@@ -375,8 +402,8 @@
 //    For N even,
 //
 //    rsq := r * r
-//    Result := c + r * rsq * (P1_1 + rsq * P1_2)
-//    Result := r + Result          ...in user-defined rounding
+//    Poly := c + r * rsq * (P1_1 + rsq * P1_2)
+//    Result := r + Poly          ...in user-defined rounding
 //
 //    For N odd,
 //    S_hi  := -frcpa(r)               ...8 bits
@@ -414,8 +441,8 @@
 //      Poly2 := P1_4 + rsq*(P1_5 + rsq*(P1_6 + ... rsq*P1_9))
 //      CORR  := c * ( 1 + rsq )
 //      Poly  := Poly1 + r_to_the_8*Poly2
-//      Result := r*Poly + CORR
-//      Result := r + Result     ...in user-defined rounding
+//      Poly := r*Poly + CORR
+//      Result := r + Poly     ...in user-defined rounding
 //      ...note that Poly1 and r_to_the_8 can be computed in parallel
 //      ...with Poly2 (Poly1 is intentionally set to be much
 //      ...shorter than Poly2 so that r_to_the_8 and CORR can be hidden)
@@ -434,8 +461,8 @@
 //      rsq := r*r
 //      P   := Q1_1 + rsq*(Q1_2 + rsq*(Q1_3 + ... + rsq*Q1_7))
 //
-//      Result :=  r*P + S_lo
-//      Result :=  S_hi  +  Result      ...in user-defined rounding
+//      Poly :=  r*P + S_lo
+//      Result :=  S_hi  +  Poly      ...in user-defined rounding
 //
 //
 // Algorithm for the case of normal_r
@@ -454,7 +481,7 @@
 //           /           (1/[sin(B)*cos(B)]) * tan(x)
 //      sgn_r * | tan(B) + --------------------------------  +
 //           \                     cot(B)  -  tan(x)
-//                                \ 
+//                                \
 //                          CORR  |
 
 //                                /
@@ -463,7 +490,7 @@
 // calculated beforehand and stored in a table. Specifically,
 // the table values are
 //
-//      tan(B)                as  T_hi  +  T_lo;
+//      tan(B)             as  T_hi  +  T_lo;
 //      cot(B)             as  C_hi  +  C_lo;
 //      1/[sin(B)*cos(B)]  as  SC_inv
 //
@@ -559,7 +586,7 @@
 //           /             (1/[sin(B)*cos(B)]) * tan(x)
 //      sgn_r * | -cot(B) + --------------------------------  +
 //           \                     tan(B)  +  tan(x)
-//                                \ 
+//                                \
 //                          CORR  |
 
 //                                /
@@ -568,7 +595,7 @@
 // calculated beforehand and stored in a table. Specifically,
 // the table values are
 //
-//      tan(B)                as  T_hi  +  T_lo;
+//      tan(B)             as  T_hi  +  T_lo;
 //      cot(B)             as  C_hi  +  C_lo;
 //      1/[sin(B)*cos(B)]  as  SC_inv
 //
@@ -675,254 +702,382 @@
 //
 //
 
-#include "libm_support.h"
-
-#ifdef _LIBC
-.rodata
-#else
-.data
-#endif
-.align 128
-
-TANL_BASE_CONSTANTS:
-ASM_TYPE_DIRECTIVE(TANL_BASE_CONSTANTS,@object)
-data4    0x4B800000, 0xCB800000, 0x38800000, 0xB8800000 // two**24, -two**24
-                                                        // two**-14, -two**-14
-data4    0x4E44152A, 0xA2F9836E, 0x00003FFE, 0x00000000 // two_by_pi
-data4    0xCE81B9F1, 0xC84D32B0, 0x00004016, 0x00000000 // P_0
-data4    0x2168C235, 0xC90FDAA2, 0x00003FFF, 0x00000000 // P_1
-data4    0xFC8F8CBB, 0xECE675D1, 0x0000BFBD, 0x00000000 // P_2
-data4    0xACC19C60, 0xB7ED8FBB, 0x0000BF7C, 0x00000000 // P_3
-data4    0x5F000000, 0xDF000000, 0x00000000, 0x00000000 // two_to_63, -two_to_63
-data4    0x6EC6B45A, 0xA397E504, 0x00003FE7, 0x00000000 // Inv_P_0
-data4    0xDBD171A1, 0x8D848E89, 0x0000BFBF, 0x00000000 // d_1
-data4    0x18A66F8E, 0xD5394C36, 0x0000BF7C, 0x00000000 // d_2
-data4    0x2168C234, 0xC90FDAA2, 0x00003FFE, 0x00000000 // PI_BY_4
-data4    0x2168C234, 0xC90FDAA2, 0x0000BFFE, 0x00000000 // MPI_BY_4
-data4    0x3E800000, 0xBE800000, 0x00000000, 0x00000000 // two**-2, -two**-2
-data4    0x2F000000, 0xAF000000, 0x00000000, 0x00000000 // two**-33, -two**-33
-data4    0xAAAAAABD, 0xAAAAAAAA, 0x00003FFD, 0x00000000 // P1_1
-data4    0x88882E6A, 0x88888888, 0x00003FFC, 0x00000000 // P1_2
-data4    0x0F0177B6, 0xDD0DD0DD, 0x00003FFA, 0x00000000 // P1_3
-data4    0x646B8C6D, 0xB327A440, 0x00003FF9, 0x00000000 // P1_4
-data4    0x1D5F7D20, 0x91371B25, 0x00003FF8, 0x00000000 // P1_5
-data4    0x61C67914, 0xEB69A5F1, 0x00003FF6, 0x00000000 // P1_6
-data4    0x019318D2, 0xBEDD37BE, 0x00003FF5, 0x00000000 // P1_7
-data4    0x3C794015, 0x9979B146, 0x00003FF4, 0x00000000 // P1_8
-data4    0x8C6EB58A, 0x8EBD21A3, 0x00003FF3, 0x00000000 // P1_9
-data4    0xAAAAAAB4, 0xAAAAAAAA, 0x00003FFD, 0x00000000 // Q1_1
-data4    0x0B5FC93E, 0xB60B60B6, 0x00003FF9, 0x00000000 // Q1_2
-data4    0x0C9BBFBF, 0x8AB355E0, 0x00003FF6, 0x00000000 // Q1_3
-data4    0xCBEE3D4C, 0xDDEBBC89, 0x00003FF2, 0x00000000 // Q1_4
-data4    0x5F80BBB6, 0xB3548A68, 0x00003FEF, 0x00000000 // Q1_5
-data4    0x4CED5BF1, 0x91362560, 0x00003FEC, 0x00000000 // Q1_6
-data4    0x8EE92A83, 0xF189D95A, 0x00003FE8, 0x00000000 // Q1_7
-data4    0xAAAB362F, 0xAAAAAAAA, 0x00003FFD, 0x00000000 // P2_1
-data4    0xE97A6097, 0x88888886, 0x00003FFC, 0x00000000 // P2_2
-data4    0x25E716A1, 0xDD108EE0, 0x00003FFA, 0x00000000 // P2_3
+RODATA
+.align 16
+
+LOCAL_OBJECT_START(TANL_BASE_CONSTANTS)
+
+tanl_table_1:
+data8    0xA2F9836E4E44152A, 0x00003FFE // two_by_pi
+data8    0xC84D32B0CE81B9F1, 0x00004016 // P_0
+data8    0xC90FDAA22168C235, 0x00003FFF // P_1
+data8    0xECE675D1FC8F8CBB, 0x0000BFBD // P_2
+data8    0xB7ED8FBBACC19C60, 0x0000BF7C // P_3
+LOCAL_OBJECT_END(TANL_BASE_CONSTANTS)
+
+LOCAL_OBJECT_START(tanl_table_2)
+data8    0xC90FDAA22168C234, 0x00003FFE // PI_BY_4
+data8    0xA397E5046EC6B45A, 0x00003FE7 // Inv_P_0
+data8    0x8D848E89DBD171A1, 0x0000BFBF // d_1
+data8    0xD5394C3618A66F8E, 0x0000BF7C // d_2
+data4    0x3E800000 // two**-2
+data4    0xBE800000 // -two**-2
+data4    0x00000000 // pad
+data4    0x00000000 // pad
+LOCAL_OBJECT_END(tanl_table_2)
+
+LOCAL_OBJECT_START(tanl_table_p1)
+data8    0xAAAAAAAAAAAAAABD, 0x00003FFD // P1_1
+data8    0x8888888888882E6A, 0x00003FFC // P1_2
+data8    0xDD0DD0DD0F0177B6, 0x00003FFA // P1_3
+data8    0xB327A440646B8C6D, 0x00003FF9 // P1_4
+data8    0x91371B251D5F7D20, 0x00003FF8 // P1_5
+data8    0xEB69A5F161C67914, 0x00003FF6 // P1_6
+data8    0xBEDD37BE019318D2, 0x00003FF5 // P1_7
+data8    0x9979B1463C794015, 0x00003FF4 // P1_8
+data8    0x8EBD21A38C6EB58A, 0x00003FF3 // P1_9
+LOCAL_OBJECT_END(tanl_table_p1)
+
+LOCAL_OBJECT_START(tanl_table_q1)
+data8    0xAAAAAAAAAAAAAAB4, 0x00003FFD // Q1_1
+data8    0xB60B60B60B5FC93E, 0x00003FF9 // Q1_2
+data8    0x8AB355E00C9BBFBF, 0x00003FF6 // Q1_3
+data8    0xDDEBBC89CBEE3D4C, 0x00003FF2 // Q1_4
+data8    0xB3548A685F80BBB6, 0x00003FEF // Q1_5
+data8    0x913625604CED5BF1, 0x00003FEC // Q1_6
+data8    0xF189D95A8EE92A83, 0x00003FE8 // Q1_7
+LOCAL_OBJECT_END(tanl_table_q1)
+
+LOCAL_OBJECT_START(tanl_table_p2)
+data8    0xAAAAAAAAAAAB362F, 0x00003FFD // P2_1
+data8    0x88888886E97A6097, 0x00003FFC // P2_2
+data8    0xDD108EE025E716A1, 0x00003FFA // P2_3
+LOCAL_OBJECT_END(tanl_table_p2)
+
+LOCAL_OBJECT_START(tanl_table_tm2)
 //
 //  Entries T_hi   double-precision memory format
 //  Index = 0,1,...,31  B = 2^(-2)*(1+Index/32+1/64)
 //  Entries T_lo  single-precision memory format
 //  Index = 0,1,...,31  B = 2^(-2)*(1+Index/32+1/64)
 //
-data4    0x62400794, 0x3FD09BC3, 0x23A05C32, 0x00000000
-data4    0xDFFBC074, 0x3FD124A9, 0x240078B2, 0x00000000
-data4    0x5BD4920F, 0x3FD1AE23, 0x23826B8E, 0x00000000
-data4    0x15E2701D, 0x3FD23835, 0x22D31154, 0x00000000
-data4    0x63739C2D, 0x3FD2C2E4, 0x2265C9E2, 0x00000000
-data4    0xAFEEA48B, 0x3FD34E36, 0x245C05EB, 0x00000000
-data4    0x7DBB35D1, 0x3FD3DA31, 0x24749F2D, 0x00000000
-data4    0x67321619, 0x3FD466DA, 0x2462CECE, 0x00000000
-data4    0x1F94A4D5, 0x3FD4F437, 0x246D0DF1, 0x00000000
-data4    0x740C3E6D, 0x3FD5824D, 0x240A85B5, 0x00000000
-data4    0x4CB1E73D, 0x3FD61123, 0x23F96E33, 0x00000000
-data4    0xAD9EA64B, 0x3FD6A0BE, 0x247C5393, 0x00000000
-data4    0xB804FD01, 0x3FD73125, 0x241F3B29, 0x00000000
-data4    0xAB53EE83, 0x3FD7C25E, 0x2479989B, 0x00000000
-data4    0xE6640EED, 0x3FD8546F, 0x23B343BC, 0x00000000
-data4    0xE8AF1892, 0x3FD8E75F, 0x241454D1, 0x00000000
-data4    0x53928BDA, 0x3FD97B35, 0x238613D9, 0x00000000
-data4    0xEB9DE4DE, 0x3FDA0FF6, 0x22859FA7, 0x00000000
-data4    0x99ECF92D, 0x3FDAA5AB, 0x237A6D06, 0x00000000
-data4    0x6D8F1796, 0x3FDB3C5A, 0x23952F6C, 0x00000000
-data4    0x9CFB8BE4, 0x3FDBD40A, 0x2280FC95, 0x00000000
-data4    0x87943100, 0x3FDC6CC3, 0x245D2EC0, 0x00000000
-data4    0xB736C500, 0x3FDD068C, 0x23C4AD7D, 0x00000000
-data4    0xE1DDBC31, 0x3FDDA16D, 0x23D076E6, 0x00000000
-data4    0xEB515A93, 0x3FDE3D6E, 0x244809A6, 0x00000000
-data4    0xE6E9E5F1, 0x3FDEDA97, 0x220856C8, 0x00000000
-data4    0x1963CE69, 0x3FDF78F1, 0x244BE993, 0x00000000
-data4    0x7D635BCE, 0x3FE00C41, 0x23D21799, 0x00000000
-data4    0x1C302CD3, 0x3FE05CAB, 0x248A1B1D, 0x00000000
-data4    0xDB6A1FA0, 0x3FE0ADB9, 0x23D53E33, 0x00000000
-data4    0x4A20BA81, 0x3FE0FF72, 0x24DB9ED5, 0x00000000
-data4    0x153FA6F5, 0x3FE151D9, 0x24E9E451, 0x00000000
+data8 0x3FD09BC362400794
+data4 0x23A05C32, 0x00000000
+data8 0x3FD124A9DFFBC074
+data4 0x240078B2, 0x00000000
+data8 0x3FD1AE235BD4920F
+data4 0x23826B8E, 0x00000000
+data8 0x3FD2383515E2701D
+data4 0x22D31154, 0x00000000
+data8 0x3FD2C2E463739C2D
+data4 0x2265C9E2, 0x00000000
+data8 0x3FD34E36AFEEA48B
+data4 0x245C05EB, 0x00000000
+data8 0x3FD3DA317DBB35D1
+data4 0x24749F2D, 0x00000000
+data8 0x3FD466DA67321619
+data4 0x2462CECE, 0x00000000
+data8 0x3FD4F4371F94A4D5
+data4 0x246D0DF1, 0x00000000
+data8 0x3FD5824D740C3E6D
+data4 0x240A85B5, 0x00000000
+data8 0x3FD611234CB1E73D
+data4 0x23F96E33, 0x00000000
+data8 0x3FD6A0BEAD9EA64B
+data4 0x247C5393, 0x00000000
+data8 0x3FD73125B804FD01
+data4 0x241F3B29, 0x00000000
+data8 0x3FD7C25EAB53EE83
+data4 0x2479989B, 0x00000000
+data8 0x3FD8546FE6640EED
+data4 0x23B343BC, 0x00000000
+data8 0x3FD8E75FE8AF1892
+data4 0x241454D1, 0x00000000
+data8 0x3FD97B3553928BDA
+data4 0x238613D9, 0x00000000
+data8 0x3FDA0FF6EB9DE4DE
+data4 0x22859FA7, 0x00000000
+data8 0x3FDAA5AB99ECF92D
+data4 0x237A6D06, 0x00000000
+data8 0x3FDB3C5A6D8F1796
+data4 0x23952F6C, 0x00000000
+data8 0x3FDBD40A9CFB8BE4
+data4 0x2280FC95, 0x00000000
+data8 0x3FDC6CC387943100
+data4 0x245D2EC0, 0x00000000
+data8 0x3FDD068CB736C500
+data4 0x23C4AD7D, 0x00000000
+data8 0x3FDDA16DE1DDBC31
+data4 0x23D076E6, 0x00000000
+data8 0x3FDE3D6EEB515A93
+data4 0x244809A6, 0x00000000
+data8 0x3FDEDA97E6E9E5F1
+data4 0x220856C8, 0x00000000
+data8 0x3FDF78F11963CE69
+data4 0x244BE993, 0x00000000
+data8 0x3FE00C417D635BCE
+data4 0x23D21799, 0x00000000
+data8 0x3FE05CAB1C302CD3
+data4 0x248A1B1D, 0x00000000
+data8 0x3FE0ADB9DB6A1FA0
+data4 0x23D53E33, 0x00000000
+data8 0x3FE0FF724A20BA81
+data4 0x24DB9ED5, 0x00000000
+data8 0x3FE151D9153FA6F5
+data4 0x24E9E451, 0x00000000
+LOCAL_OBJECT_END(tanl_table_tm2)
+
+LOCAL_OBJECT_START(tanl_table_tm1)
 //
 //  Entries T_hi   double-precision memory format
 //  Index = 0,1,...,19  B = 2^(-1)*(1+Index/32+1/64)
 //  Entries T_lo  single-precision memory format
 //  Index = 0,1,...,19  B = 2^(-1)*(1+Index/32+1/64)
 //
-data4    0xBA1BE39E, 0x3FE1CEC4, 0x24B60F9E, 0x00000000
-data4    0x5ABD9B2D, 0x3FE277E4, 0x248C2474, 0x00000000
-data4    0x0272B110, 0x3FE32418, 0x247B8311, 0x00000000
-data4    0x890E2DF0, 0x3FE3D38B, 0x24C55751, 0x00000000
-data4    0x46236871, 0x3FE4866D, 0x24E5BC34, 0x00000000
-data4    0x45E044B0, 0x3FE53CEE, 0x24001BA4, 0x00000000
-data4    0x82EC06E4, 0x3FE5F742, 0x24B973DC, 0x00000000
-data4    0x25DF43F9, 0x3FE6B5A1, 0x24895440, 0x00000000
-data4    0xCAFD348C, 0x3FE77844, 0x240021CA, 0x00000000
-data4    0xCEED6B92, 0x3FE83F6B, 0x24C45372, 0x00000000
-data4    0xA34F3665, 0x3FE90B58, 0x240DAD33, 0x00000000
-data4    0x2C1E56B4, 0x3FE9DC52, 0x24F846CE, 0x00000000
-data4    0x27041578, 0x3FEAB2A4, 0x2323FB6E, 0x00000000
-data4    0x9DD8C373, 0x3FEB8E9F, 0x24B3090B, 0x00000000
-data4    0x65C9AA7B, 0x3FEC709B, 0x2449F611, 0x00000000
-data4    0xACCF8435, 0x3FED58F4, 0x23616A7E, 0x00000000
-data4    0x97635082, 0x3FEE480F, 0x24C2FEAE, 0x00000000
-data4    0xF0ACC544, 0x3FEF3E57, 0x242CE964, 0x00000000
-data4    0xF7E06E4B, 0x3FF01E20, 0x2480D3EE, 0x00000000
-data4    0x8A798A69, 0x3FF0A125, 0x24DB8967, 0x00000000
+data8 0x3FE1CEC4BA1BE39E
+data4 0x24B60F9E, 0x00000000
+data8 0x3FE277E45ABD9B2D
+data4 0x248C2474, 0x00000000
+data8 0x3FE324180272B110
+data4 0x247B8311, 0x00000000
+data8 0x3FE3D38B890E2DF0
+data4 0x24C55751, 0x00000000
+data8 0x3FE4866D46236871
+data4 0x24E5BC34, 0x00000000
+data8 0x3FE53CEE45E044B0
+data4 0x24001BA4, 0x00000000
+data8 0x3FE5F74282EC06E4
+data4 0x24B973DC, 0x00000000
+data8 0x3FE6B5A125DF43F9
+data4 0x24895440, 0x00000000
+data8 0x3FE77844CAFD348C
+data4 0x240021CA, 0x00000000
+data8 0x3FE83F6BCEED6B92
+data4 0x24C45372, 0x00000000
+data8 0x3FE90B58A34F3665
+data4 0x240DAD33, 0x00000000
+data8 0x3FE9DC522C1E56B4
+data4 0x24F846CE, 0x00000000
+data8 0x3FEAB2A427041578
+data4 0x2323FB6E, 0x00000000
+data8 0x3FEB8E9F9DD8C373
+data4 0x24B3090B, 0x00000000
+data8 0x3FEC709B65C9AA7B
+data4 0x2449F611, 0x00000000
+data8 0x3FED58F4ACCF8435
+data4 0x23616A7E, 0x00000000
+data8 0x3FEE480F97635082
+data4 0x24C2FEAE, 0x00000000
+data8 0x3FEF3E57F0ACC544
+data4 0x242CE964, 0x00000000
+data8 0x3FF01E20F7E06E4B
+data4 0x2480D3EE, 0x00000000
+data8 0x3FF0A1258A798A69
+data4 0x24DB8967, 0x00000000
+LOCAL_OBJECT_END(tanl_table_tm1)
+
+LOCAL_OBJECT_START(tanl_table_cm2)
 //
 //  Entries C_hi   double-precision memory format
 //  Index = 0,1,...,31  B = 2^(-2)*(1+Index/32+1/64)
 //  Entries C_lo  single-precision memory format
 //  Index = 0,1,...,31  B = 2^(-2)*(1+Index/32+1/64)
 //
-data4    0xE63EFBD0, 0x400ED3E2, 0x259D94D4, 0x00000000
-data4    0xC515DAB5, 0x400DDDB4, 0x245F0537, 0x00000000
-data4    0xBE19A79F, 0x400CF57A, 0x25D4EA9F, 0x00000000
-data4    0xD15298ED, 0x400C1A06, 0x24AE40A0, 0x00000000
-data4    0x164B2708, 0x400B4A4C, 0x25A5AAB6, 0x00000000
-data4    0x5285B068, 0x400A855A, 0x25524F18, 0x00000000
-data4    0x3FFA549F, 0x4009CA5A, 0x24C999C0, 0x00000000
-data4    0x646AF623, 0x4009188A, 0x254FD801, 0x00000000
-data4    0x6084D0E7, 0x40086F3C, 0x2560F5FD, 0x00000000
-data4    0xA29A76EE, 0x4007CDD2, 0x255B9D19, 0x00000000
-data4    0x6C8ECA95, 0x400733BE, 0x25CB021B, 0x00000000
-data4    0x1F8DDC52, 0x4006A07E, 0x24AB4722, 0x00000000
-data4    0xC298AD58, 0x4006139B, 0x252764E2, 0x00000000
-data4    0xBAD7164B, 0x40058CAB, 0x24DAF5DB, 0x00000000
-data4    0xAE31A5D3, 0x40050B4B, 0x25EA20F4, 0x00000000
-data4    0x89F85A8A, 0x40048F21, 0x2583A3E8, 0x00000000
-data4    0xA862380D, 0x400417DA, 0x25DCC4CC, 0x00000000
-data4    0x1088FCFE, 0x4003A52B, 0x2430A492, 0x00000000
-data4    0xCD3527D5, 0x400336CC, 0x255F77CF, 0x00000000
-data4    0x5760766D, 0x4002CC7F, 0x25DA0BDA, 0x00000000
-data4    0x11CE02E3, 0x40026607, 0x256FF4A2, 0x00000000
-data4    0xD37BBE04, 0x4002032C, 0x25208AED, 0x00000000
-data4    0x7F050775, 0x4001A3BD, 0x24B72DD6, 0x00000000
-data4    0xA554848A, 0x40014789, 0x24AB4DAA, 0x00000000
-data4    0x323E81B7, 0x4000EE65, 0x2584C440, 0x00000000
-data4    0x21CF1293, 0x40009827, 0x25C9428D, 0x00000000
-data4    0x3D415EEB, 0x400044A9, 0x25DC8482, 0x00000000
-data4    0xBD72C577, 0x3FFFE78F, 0x257F5070, 0x00000000
-data4    0x75EFD28E, 0x3FFF4AC3, 0x23EBBF7A, 0x00000000
-data4    0x60B52DDE, 0x3FFEB2AF, 0x22EECA07, 0x00000000
-data4    0x35204180, 0x3FFE1F19, 0x24191079, 0x00000000
-data4    0x54F7E60A, 0x3FFD8FCA, 0x248D3058, 0x00000000
+data8 0x400ED3E2E63EFBD0
+data4 0x259D94D4, 0x00000000
+data8 0x400DDDB4C515DAB5
+data4 0x245F0537, 0x00000000
+data8 0x400CF57ABE19A79F
+data4 0x25D4EA9F, 0x00000000
+data8 0x400C1A06D15298ED
+data4 0x24AE40A0, 0x00000000
+data8 0x400B4A4C164B2708
+data4 0x25A5AAB6, 0x00000000
+data8 0x400A855A5285B068
+data4 0x25524F18, 0x00000000
+data8 0x4009CA5A3FFA549F
+data4 0x24C999C0, 0x00000000
+data8 0x4009188A646AF623
+data4 0x254FD801, 0x00000000
+data8 0x40086F3C6084D0E7
+data4 0x2560F5FD, 0x00000000
+data8 0x4007CDD2A29A76EE
+data4 0x255B9D19, 0x00000000
+data8 0x400733BE6C8ECA95
+data4 0x25CB021B, 0x00000000
+data8 0x4006A07E1F8DDC52
+data4 0x24AB4722, 0x00000000
+data8 0x4006139BC298AD58
+data4 0x252764E2, 0x00000000
+data8 0x40058CABBAD7164B
+data4 0x24DAF5DB, 0x00000000
+data8 0x40050B4BAE31A5D3
+data4 0x25EA20F4, 0x00000000
+data8 0x40048F2189F85A8A
+data4 0x2583A3E8, 0x00000000
+data8 0x400417DAA862380D
+data4 0x25DCC4CC, 0x00000000
+data8 0x4003A52B1088FCFE
+data4 0x2430A492, 0x00000000
+data8 0x400336CCCD3527D5
+data4 0x255F77CF, 0x00000000
+data8 0x4002CC7F5760766D
+data4 0x25DA0BDA, 0x00000000
+data8 0x4002660711CE02E3
+data4 0x256FF4A2, 0x00000000
+data8 0x4002032CD37BBE04
+data4 0x25208AED, 0x00000000
+data8 0x4001A3BD7F050775
+data4 0x24B72DD6, 0x00000000
+data8 0x40014789A554848A
+data4 0x24AB4DAA, 0x00000000
+data8 0x4000EE65323E81B7
+data4 0x2584C440, 0x00000000
+data8 0x4000982721CF1293
+data4 0x25C9428D, 0x00000000
+data8 0x400044A93D415EEB
+data4 0x25DC8482, 0x00000000
+data8 0x3FFFE78FBD72C577
+data4 0x257F5070, 0x00000000
+data8 0x3FFF4AC375EFD28E
+data4 0x23EBBF7A, 0x00000000
+data8 0x3FFEB2AF60B52DDE
+data4 0x22EECA07, 0x00000000
+data8 0x3FFE1F1935204180
+data4 0x24191079, 0x00000000
+data8 0x3FFD8FCA54F7E60A
+data4 0x248D3058, 0x00000000
+LOCAL_OBJECT_END(tanl_table_cm2)
+
+LOCAL_OBJECT_START(tanl_table_cm1)
 //
 //  Entries C_hi   double-precision memory format
 //  Index = 0,1,...,19  B = 2^(-1)*(1+Index/32+1/64)
 //  Entries C_lo  single-precision memory format
 //  Index = 0,1,...,19  B = 2^(-1)*(1+Index/32+1/64)
 //
-data4    0x79F6FADE, 0x3FFCC06A, 0x239C7886, 0x00000000
-data4    0x891662A6, 0x3FFBB91F, 0x250BD191, 0x00000000
-data4    0x529F155D, 0x3FFABFB6, 0x256CC3E6, 0x00000000
-data4    0x2E964AE9, 0x3FF9D300, 0x250843E3, 0x00000000
-data4    0x89DCB383, 0x3FF8F1EF, 0x2277C87E, 0x00000000
-data4    0x7C87DBD6, 0x3FF81B93, 0x256DA6CF, 0x00000000
-data4    0x1042EDE4, 0x3FF74F14, 0x2573D28A, 0x00000000
-data4    0x1784B360, 0x3FF68BAF, 0x242E489A, 0x00000000
-data4    0x7C923C4C, 0x3FF5D0B5, 0x2532D940, 0x00000000
-data4    0xF418EF20, 0x3FF51D88, 0x253C7DD6, 0x00000000
-data4    0x02F88DAE, 0x3FF4719A, 0x23DB59BF, 0x00000000
-data4    0x49DA0788, 0x3FF3CC66, 0x252B4756, 0x00000000
-data4    0x0B980DB8, 0x3FF32D77, 0x23FE585F, 0x00000000
-data4    0xE56C987A, 0x3FF2945F, 0x25378A63, 0x00000000
-data4    0xB16523F6, 0x3FF200BD, 0x247BB2E0, 0x00000000
-data4    0x8CE27778, 0x3FF17235, 0x24446538, 0x00000000
-data4    0xFDEFE692, 0x3FF0E873, 0x2514638F, 0x00000000
-data4    0x33154062, 0x3FF0632C, 0x24A7FC27, 0x00000000
-data4    0xB3EF115F, 0x3FEFC42E, 0x248FD0FE, 0x00000000
-data4    0x135D26F6, 0x3FEEC9E8, 0x2385C719, 0x00000000
+data8 0x3FFCC06A79F6FADE
+data4 0x239C7886, 0x00000000
+data8 0x3FFBB91F891662A6
+data4 0x250BD191, 0x00000000
+data8 0x3FFABFB6529F155D
+data4 0x256CC3E6, 0x00000000
+data8 0x3FF9D3002E964AE9
+data4 0x250843E3, 0x00000000
+data8 0x3FF8F1EF89DCB383
+data4 0x2277C87E, 0x00000000
+data8 0x3FF81B937C87DBD6
+data4 0x256DA6CF, 0x00000000
+data8 0x3FF74F141042EDE4
+data4 0x2573D28A, 0x00000000
+data8 0x3FF68BAF1784B360
+data4 0x242E489A, 0x00000000
+data8 0x3FF5D0B57C923C4C
+data4 0x2532D940, 0x00000000
+data8 0x3FF51D88F418EF20
+data4 0x253C7DD6, 0x00000000
+data8 0x3FF4719A02F88DAE
+data4 0x23DB59BF, 0x00000000
+data8 0x3FF3CC6649DA0788
+data4 0x252B4756, 0x00000000
+data8 0x3FF32D770B980DB8
+data4 0x23FE585F, 0x00000000
+data8 0x3FF2945FE56C987A
+data4 0x25378A63, 0x00000000
+data8 0x3FF200BDB16523F6
+data4 0x247BB2E0, 0x00000000
+data8 0x3FF172358CE27778
+data4 0x24446538, 0x00000000
+data8 0x3FF0E873FDEFE692
+data4 0x2514638F, 0x00000000
+data8 0x3FF0632C33154062
+data4 0x24A7FC27, 0x00000000
+data8 0x3FEFC42EB3EF115F
+data4 0x248FD0FE, 0x00000000
+data8 0x3FEEC9E8135D26F6
+data4 0x2385C719, 0x00000000
+LOCAL_OBJECT_END(tanl_table_cm1)
+
+LOCAL_OBJECT_START(tanl_table_scim2)
 //
 //  Entries SC_inv in Swapped IEEE format (extended)
 //  Index = 0,1,...,31  B = 2^(-2)*(1+Index/32+1/64)
 //
-data4    0x1BF30C9E, 0x839D6D4A, 0x00004001, 0x00000000
-data4    0x554B0EB0, 0x80092804, 0x00004001, 0x00000000
-data4    0xA1CF0DE9, 0xF959F94C, 0x00004000, 0x00000000
-data4    0x77378677, 0xF3086BA0, 0x00004000, 0x00000000
-data4    0xCCD4723C, 0xED154515, 0x00004000, 0x00000000
-data4    0x1C27CF25, 0xE7790944, 0x00004000, 0x00000000
-data4    0x8DDACB88, 0xE22D037D, 0x00004000, 0x00000000
-data4    0x89C73522, 0xDD2B2D8A, 0x00004000, 0x00000000
-data4    0xBB2C1171, 0xD86E1A23, 0x00004000, 0x00000000
-data4    0xDFF5E0F9, 0xD3F0E288, 0x00004000, 0x00000000
-data4    0x283BEBD5, 0xCFAF16B1, 0x00004000, 0x00000000
-data4    0x0D88DD53, 0xCBA4AFAA, 0x00004000, 0x00000000
-data4    0xCA67C43D, 0xC7CE03CC, 0x00004000, 0x00000000
-data4    0x0CA0DDB0, 0xC427BC82, 0x00004000, 0x00000000
-data4    0xF13D8CAB, 0xC0AECD57, 0x00004000, 0x00000000
-data4    0x71ECE6B1, 0xBD606C38, 0x00004000, 0x00000000
-data4    0xA44C4929, 0xBA3A0A96, 0x00004000, 0x00000000
-data4    0xE5CCCEC1, 0xB7394F6F, 0x00004000, 0x00000000
-data4    0x9637D8BC, 0xB45C1203, 0x00004000, 0x00000000
-data4    0x92CB051B, 0xB1A05528, 0x00004000, 0x00000000
-data4    0x6BA2FFD0, 0xAF04432B, 0x00004000, 0x00000000
-data4    0x7221235F, 0xAC862A23, 0x00004000, 0x00000000
-data4    0x5F00A9D1, 0xAA2478AF, 0x00004000, 0x00000000
-data4    0x81E082BF, 0xA7DDBB0C, 0x00004000, 0x00000000
-data4    0x45684FEE, 0xA5B0987D, 0x00004000, 0x00000000
-data4    0x627A8F53, 0xA39BD0F5, 0x00004000, 0x00000000
-data4    0x6EC5C8B0, 0xA19E3B03, 0x00004000, 0x00000000
-data4    0x91CD7C66, 0x9FB6C1F0, 0x00004000, 0x00000000
-data4    0x1FA3DF8A, 0x9DE46410, 0x00004000, 0x00000000
-data4    0xA8F6B888, 0x9C263139, 0x00004000, 0x00000000
-data4    0xC27B0450, 0x9A7B4968, 0x00004000, 0x00000000
-data4    0x5EE614EE, 0x98E2DB7E, 0x00004000, 0x00000000
+data8    0x839D6D4A1BF30C9E, 0x00004001
+data8    0x80092804554B0EB0, 0x00004001
+data8    0xF959F94CA1CF0DE9, 0x00004000
+data8    0xF3086BA077378677, 0x00004000
+data8    0xED154515CCD4723C, 0x00004000
+data8    0xE77909441C27CF25, 0x00004000
+data8    0xE22D037D8DDACB88, 0x00004000
+data8    0xDD2B2D8A89C73522, 0x00004000
+data8    0xD86E1A23BB2C1171, 0x00004000
+data8    0xD3F0E288DFF5E0F9, 0x00004000
+data8    0xCFAF16B1283BEBD5, 0x00004000
+data8    0xCBA4AFAA0D88DD53, 0x00004000
+data8    0xC7CE03CCCA67C43D, 0x00004000
+data8    0xC427BC820CA0DDB0, 0x00004000
+data8    0xC0AECD57F13D8CAB, 0x00004000
+data8    0xBD606C3871ECE6B1, 0x00004000
+data8    0xBA3A0A96A44C4929, 0x00004000
+data8    0xB7394F6FE5CCCEC1, 0x00004000
+data8    0xB45C12039637D8BC, 0x00004000
+data8    0xB1A0552892CB051B, 0x00004000
+data8    0xAF04432B6BA2FFD0, 0x00004000
+data8    0xAC862A237221235F, 0x00004000
+data8    0xAA2478AF5F00A9D1, 0x00004000
+data8    0xA7DDBB0C81E082BF, 0x00004000
+data8    0xA5B0987D45684FEE, 0x00004000
+data8    0xA39BD0F5627A8F53, 0x00004000
+data8    0xA19E3B036EC5C8B0, 0x00004000
+data8    0x9FB6C1F091CD7C66, 0x00004000
+data8    0x9DE464101FA3DF8A, 0x00004000
+data8    0x9C263139A8F6B888, 0x00004000
+data8    0x9A7B4968C27B0450, 0x00004000
+data8    0x98E2DB7E5EE614EE, 0x00004000
+LOCAL_OBJECT_END(tanl_table_scim2)
+
+LOCAL_OBJECT_START(tanl_table_scim1)
 //
 //  Entries SC_inv in Swapped IEEE format (extended)
 //  Index = 0,1,...,19  B = 2^(-1)*(1+Index/32+1/64)
 //
-data4    0x13B2B5BA, 0x969F335C, 0x00004000, 0x00000000
-data4    0xD4C0F548, 0x93D446D9, 0x00004000, 0x00000000
-data4    0x61B798AF, 0x9147094F, 0x00004000, 0x00000000
-data4    0x758787AC, 0x8EF317CC, 0x00004000, 0x00000000
-data4    0xB99EEFDB, 0x8CD498B3, 0x00004000, 0x00000000
-data4    0xDFF8BC37, 0x8AE82A7D, 0x00004000, 0x00000000
-data4    0xE3C55D42, 0x892AD546, 0x00004000, 0x00000000
-data4    0xD15573C1, 0x8799FEA9, 0x00004000, 0x00000000
-data4    0x435A4B4C, 0x86335F88, 0x00004000, 0x00000000
-data4    0x3E93A87B, 0x84F4FB6E, 0x00004000, 0x00000000
-data4    0x80A382FB, 0x83DD1952, 0x00004000, 0x00000000
-data4    0xA4CB8C9E, 0x82EA3D7F, 0x00004000, 0x00000000
-data4    0x6861D0A8, 0x821B247C, 0x00004000, 0x00000000
-data4    0x63E8D244, 0x816EBED1, 0x00004000, 0x00000000
-data4    0x27E4CFC6, 0x80E42D91, 0x00004000, 0x00000000
-data4    0x28E64AFD, 0x807ABF8D, 0x00004000, 0x00000000
-data4    0x863B4FD8, 0x8031EF26, 0x00004000, 0x00000000
-data4    0xAE8C11FD, 0x800960AD, 0x00004000, 0x00000000
-data4    0x5FDBEC21, 0x8000E147, 0x00004000, 0x00000000
-data4    0xA07791FA, 0x80186650, 0x00004000, 0x00000000
-ASM_SIZE_DIRECTIVE(TANL_BASE_CONSTANTS)
-
-Arg                 = f8   
+data8    0x969F335C13B2B5BA, 0x00004000
+data8    0x93D446D9D4C0F548, 0x00004000
+data8    0x9147094F61B798AF, 0x00004000
+data8    0x8EF317CC758787AC, 0x00004000
+data8    0x8CD498B3B99EEFDB, 0x00004000
+data8    0x8AE82A7DDFF8BC37, 0x00004000
+data8    0x892AD546E3C55D42, 0x00004000
+data8    0x8799FEA9D15573C1, 0x00004000
+data8    0x86335F88435A4B4C, 0x00004000
+data8    0x84F4FB6E3E93A87B, 0x00004000
+data8    0x83DD195280A382FB, 0x00004000
+data8    0x82EA3D7FA4CB8C9E, 0x00004000
+data8    0x821B247C6861D0A8, 0x00004000
+data8    0x816EBED163E8D244, 0x00004000
+data8    0x80E42D9127E4CFC6, 0x00004000
+data8    0x807ABF8D28E64AFD, 0x00004000
+data8    0x8031EF26863B4FD8, 0x00004000
+data8    0x800960ADAE8C11FD, 0x00004000
+data8    0x8000E1475FDBEC21, 0x00004000
+data8    0x80186650A07791FA, 0x00004000
+LOCAL_OBJECT_END(tanl_table_scim1)
+
+Arg                 = f8
+Save_Norm_Arg       = f8        // For input to reduction routine
 Result              = f8
-fp_tmp              = f9
+r                   = f8        // For output from reduction routine
+c                   = f9        // For output from reduction routine
 U_2                 = f10
-rsq                =  f11
+rsq                 = f11
 C_hi                = f12
 C_lo                = f13
 T_hi                = f14
 T_lo                = f15
 
-N_0                 = f32
 d_1                 = f33
-MPI_BY_4            = f34
+N_0                 = f34
 tail                = f35
 tanx                = f36
 Cx                  = f37
@@ -949,8 +1104,6 @@ P1_7                = f51
 P1_8                = f52
 P1_9                = f53
 
-TWO_TO_63           = f54
-NEGTWO_TO_63        = f55
 x                   = f56
 xsq                 = f57
 Tx                  = f58
@@ -966,12 +1119,10 @@ B                   = f67
 SC_inv              = f68
 Pos_r               = f69
 N_0_fix             = f70
-PI_BY_4             = f71
-NEGTWO_TO_NEG2      = f72
-TWO_TO_24           = f73
+d_2                 = f71
+PI_BY_4             = f72
 TWO_TO_NEG14        = f74
 TWO_TO_NEG33        = f75
-NEGTWO_TO_24        = f76
 NEGTWO_TO_NEG14     = f76
 NEGTWO_TO_NEG33     = f77
 two_by_PI           = f78
@@ -982,13 +1133,14 @@ P_2                 = f82
 P_3                 = f83
 s_val               = f84
 w                   = f85
-c                   = f86
-r                   = f87
+B_mask1             = f86
+B_mask2             = f87
+w2                  = f88
 A                   = f89
 a                   = f90
 t                   = f91
 U_1                 = f92
-d_2                 = f93
+NEGTWO_TO_NEG2      = f93
 TWO_TO_NEG2         = f94
 Q1_1                = f95
 Q1_2                = f96
@@ -1009,609 +1161,641 @@ V_hiabs             = f110
 V                   = f111
 Inv_P_0             = f112
 
+FR_inv_pi_2to63     = f113
+FR_rshf_2to64       = f114
+FR_2tom64           = f115
+FR_rshf             = f116
+Norm_Arg            = f117
+Abs_Arg             = f118
+TWO_TO_NEG65        = f119
+fp_tmp              = f120
+mOne                = f121
+
+GR_sig_inv_pi  = r14
+GR_rshf_2to64  = r15
+GR_exp_2tom64  = r16
+GR_rshf        = r17
+GR_exp_2_to_63 = r18
+GR_exp_2_to_24 = r19
+GR_signexp_x   = r20
+GR_exp_x       = r21
+GR_exp_mask    = r22
+GR_exp_2tom14  = r23
+GR_exp_m2tom14 = r24
+GR_exp_2tom33  = r25
+GR_exp_m2tom33 = r26
+
 GR_SAVE_B0     = r33
 GR_SAVE_GP     = r34
 GR_SAVE_PFS    = r35
-delta1         = r36
+table_base     = r36
 table_ptr1     = r37
 table_ptr2     = r38
-i_0            = r39
-i_1            = r40 
-N_fix_gr       = r41 
-N_inc          = r42 
-exp_Arg        = r43 
-exp_r          = r44 
-sig_r          = r45 
-lookup         = r46   
-table_offset   = r47 
-Create_B       = r48 
+table_ptr3     = r39
+lookup         = r40
+N_fix_gr       = r41
+GR_exp_2tom2   = r42
+GR_exp_2tom65  = r43
+exp_r          = r44
+sig_r          = r45
+bmask1         = r46
+table_offset   = r47
+bmask2         = r48
 gr_tmp         = r49
+cot_flag       = r50
+
+GR_SAVE_B0                  = r51
+GR_SAVE_PFS                 = r52
+GR_SAVE_GP                  = r53
+GR_Parameter_X              = r54
+GR_Parameter_Y              = r55
+GR_Parameter_RESULT         = r56
+GR_Parameter_Tag            = r57
+
 
 .section .text
-.global tanl
-.proc tanl
-tanl:
-#ifdef _LIBC
-.global __tanl
-.proc __tanl
-__tanl:
-#endif
-{ .mfi
-alloc r32 = ar.pfs, 0,17,2,0
-(p0)   fclass.m.unc  p6,p0 = Arg, 0x1E7
-      addl gr_tmp = -1,r0             
-}
-{ .mfi
-  nop.m 0
-(p0)   fclass.nm.unc  p7,p0 = Arg, 0x1FF
-  nop.i 0
+.global __libm_tanl#
+.global __libm_cotl#
+
+.proc __libm_cotl#
+__libm_cotl:
+.endp __libm_cotl#
+LOCAL_LIBM_ENTRY(cotl)
+
+{ .mlx
+      alloc r32 = ar.pfs, 0,22,4,0
+      movl GR_sig_inv_pi = 0xa2f9836e4e44152a // significand of 1/pi
+}
+{ .mlx
+      mov GR_exp_mask = 0x1ffff            // Exponent mask
+      movl GR_rshf_2to64 = 0x47e8000000000000 // 1.1000 2^(63+64)
+}
+;;
+
+//     Check for NatVals, Infs , NaNs, and Zeros
+{ .mfi
+      getf.exp GR_signexp_x = Arg          // Get sign and exponent of x
+      fclass.m  p6,p0 = Arg, 0x1E7         // Test for natval, nan, inf, zero
+      mov cot_flag = 0x1
+}
+{ .mfb
+      addl table_base = @ltoff(TANL_BASE_CONSTANTS), gp // Pointer to table ptr
+      fnorm.s1 Norm_Arg = Arg              // Normalize x
+      br.cond.sptk COMMON_PATH
 };;
 
+LOCAL_LIBM_END(cotl)
+
+.proc __libm_tanl#
+__libm_tanl:
+.endp __libm_tanl#
+GLOBAL_IEEE754_ENTRY(tanl)
+
+{ .mlx
+      alloc r32 = ar.pfs, 0,22,4,0
+      movl GR_sig_inv_pi = 0xa2f9836e4e44152a // significand of 1/pi
+}
+{ .mlx
+      mov GR_exp_mask = 0x1ffff            // Exponent mask
+      movl GR_rshf_2to64 = 0x47e8000000000000 // 1.1000 2^(63+64)
+}
+;;
+
+//     Check for NatVals, Infs , NaNs, and Zeros
 { .mfi
-(p0)  addl           table_ptr1   = @ltoff(TANL_BASE_CONSTANTS), gp
-	nop.f 999
+      getf.exp GR_signexp_x = Arg          // Get sign and exponent of x
+      fclass.m  p6,p0 = Arg, 0x1E7         // Test for natval, nan, inf, zero
+      mov cot_flag = 0x0
+}
+{ .mfi
+      addl table_base = @ltoff(TANL_BASE_CONSTANTS), gp // Pointer to table ptr
+      fnorm.s1 Norm_Arg = Arg              // Normalize x
       nop.i 0
+};;
+
+// Common path for both tanl and cotl
+COMMON_PATH:
+{ .mfi
+      setf.sig FR_inv_pi_2to63 = GR_sig_inv_pi // Form 1/pi * 2^63
+      fclass.m p9, p0 = Arg, 0x0b          // Test x denormal
+      mov GR_exp_2tom64 = 0xffff - 64      // Scaling constant to compute N
+}
+{ .mlx
+      setf.d FR_rshf_2to64 = GR_rshf_2to64 // Form const 1.1000 * 2^(63+64)
+      movl GR_rshf = 0x43e8000000000000    // Form const 1.1000 * 2^63
 }
 ;;
-{ .mmi
-(p0)  ld8 table_ptr1 = [table_ptr1]
-      setf.sig fp_tmp = gr_tmp   // Make a constant so fmpy produces inexact
-      nop.i 999
+
+// Check for everything - if false, then must be pseudo-zero or pseudo-nan.
+// Branch out to deal with special values.
+{ .mfi
+      addl gr_tmp = -1,r0
+      fclass.nm  p7,p0 = Arg, 0x1FF        // Test x unsupported
+      mov GR_exp_2_to_63 = 0xffff + 63     // Exponent of 2^63
+}
+{ .mfb
+      ld8 table_base = [table_base]        // Get pointer to constant table
+      fms.s1 mOne = f0, f0, f1
+(p6)  br.cond.spnt TANL_SPECIAL            // Branch if x natval, nan, inf, zero
 }
 ;;
 
-//
-//     Check for NatVals, Infs , NaNs, and Zeros 
-//     Check for everything - if false, then must be pseudo-zero
-//     or pseudo-nan.
-//     Local table pointer
-//
-{ .mbb
-(p0)   add table_ptr2 = 96, table_ptr1
-(p6)   br.cond.spnt L(TANL_SPECIAL) 
-(p7)   br.cond.spnt L(TANL_SPECIAL) ;;
+{ .mmb
+      setf.sig fp_tmp = gr_tmp   // Make a constant so fmpy produces inexact
+      mov GR_exp_2_to_24 = 0xffff + 24     // Exponent of 2^24
+(p9)  br.cond.spnt TANL_DENORMAL           // Branch if x denormal
 }
+;;
+
+TANL_COMMON:
+// Return to here if x denormal
 //
-//     Point to Inv_P_0
-//     Branch out to deal with unsupporteds and special values. 
-//
-{ .mmf
-(p0)   ldfs TWO_TO_24 = [table_ptr1],4
-(p0)   ldfs TWO_TO_63 = [table_ptr2],4
-//
-//     Load -2**24, load -2**63.
-//
-(p0)   fcmp.eq.s0 p0, p6 = Arg, f1 ;;
-}
+// Do fcmp to generate Denormal exception
+//  - can't do FNORM (will generate Underflow when U is unmasked!)
+// Branch out to deal with unsupporteds values.
 { .mfi
-(p0)   ldfs NEGTWO_TO_63 = [table_ptr2],12
-(p0)   fnorm.s1     Arg = Arg
-	nop.i 999
+      setf.exp FR_2tom64 = GR_exp_2tom64 // Form 2^-64 for scaling N_float
+      fcmp.eq.s0 p0, p6 = Arg, f1        // Dummy to flag denormals
+      add table_ptr1 = 0, table_base     // Point to tanl_table_1
 }
-//
-//     Load 2**24, Load 2**63.
-//
-{ .mmi
-(p0)   ldfs NEGTWO_TO_24 = [table_ptr1],12 ;;
-//
-//     Do fcmp to generate Denormal exception 
-//     - can't do FNORM (will generate Underflow when U is unmasked!)
-//     Normalize input argument.
-//
-(p0)   ldfe two_by_PI = [table_ptr1],16
-	nop.i 999
+{ .mib
+      setf.d FR_rshf = GR_rshf           // Form right shift const 1.1000 * 2^63
+      add table_ptr2 = 80, table_base    // Point to tanl_table_2
+(p7)  br.cond.spnt TANL_UNSUPPORTED      // Branch if x unsupported type
 }
-{ .mmi
-(p0)   ldfe Inv_P_0 = [table_ptr2],16 ;;
-(p0)   ldfe d_1 = [table_ptr2],16
-	nop.i 999
+;;
+
+{ .mfi
+      and GR_exp_x = GR_exp_mask, GR_signexp_x // Get exponent of x
+      fmpy.s1 Save_Norm_Arg = Norm_Arg, f1     // Save x if large arg reduction
+      dep.z bmask1 = 0x7c, 56, 8               // Form mask to get 5 msb of r
+                                               // bmask1 = 0x7c00000000000000
 }
+;;
+
 //
 //     Decide about the paths to take:
-//     PR_1 and PR_3 set if -2**24 < Arg < 2**24 - CASE 1 OR 2
-//     OTHERWISE - CASE 3 OR 4
-//     Load inverse of P_0 .
-//     Set PR_6 if Arg <= -2**63
-//     Are there any Infs, NaNs, or zeros?
+//     Set PR_6 if |Arg| >= 2**63
+//     Set PR_9 if |Arg| < 2**24 - CASE 1 OR 2
+//     OTHERWISE Set PR_8 - CASE 3 OR 4
 //
-{ .mmi
-(p0)   ldfe P_0 = [table_ptr1],16 ;;
-(p0)   ldfe d_2 = [table_ptr2],16
-	nop.i 999
+//     Branch out if the magnitude of the input argument is >= 2^63
+//     - do this branch before the next.
+{ .mfi
+      ldfe two_by_PI = [table_ptr1],16        // Load 2/pi
+      nop.f 999
+      dep.z bmask2 = 0x41, 57, 7              // Form mask to OR to produce B
+                                              // bmask2 = 0x8200000000000000
 }
-//
-//     Set PR_8 if Arg <= -2**24
-//     Set PR_6 if Arg >=  2**63
-//
-{ .mmi
-(p0)   ldfe P_1 = [table_ptr1],16 ;;
-(p0)   ldfe PI_BY_4 = [table_ptr2],16
-	nop.i 999
+{ .mib
+      ldfe PI_BY_4 = [table_ptr2],16          // Load pi/4
+      cmp.ge p6,p0 = GR_exp_x, GR_exp_2_to_63 // Is |x| >= 2^63
+(p6)  br.cond.spnt TANL_ARG_TOO_LARGE         // Branch if |x| >= 2^63
 }
-//
-//     Set PR_8 if Arg >= 2**24
-//
+;;
+
 { .mmi
-(p0)   ldfe P_2 = [table_ptr1],16 ;;
-(p0)   ldfe   MPI_BY_4 = [table_ptr2],16
-	nop.i 999
-}
-//
-//     Load  P_2 and PI_BY_4
-//
-{ .mfi
-(p0)   ldfe   P_3 = [table_ptr1],16
-	nop.f 999
-	nop.i 999 ;;
-}
-{ .mfi
-	nop.m 999
-(p0)   fcmp.le.unc.s1 p6,p7 = Arg,NEGTWO_TO_63
-	nop.i 999
+      ldfe P_0 = [table_ptr1],16              // Load P_0
+      ldfe Inv_P_0 = [table_ptr2],16          // Load Inv_P_0
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p0)   fcmp.le.unc.s1 p8,p9 = Arg,NEGTWO_TO_24
-	nop.i 999 ;;
+      ldfe P_1 = [table_ptr1],16              // Load P_1
+      fmerge.s Abs_Arg = f0, Norm_Arg         // Get |x|
+      mov GR_exp_m2tom33 = 0x2ffff - 33       // Form signexp of -2^-33
 }
 { .mfi
-	nop.m 999
-(p7)   fcmp.ge.s1 p6,p0 = Arg,TWO_TO_63
-	nop.i 999
+      ldfe d_1 = [table_ptr2],16              // Load d_1 for 2^24 <= |x| < 2^63
+      nop.f 999
+      mov GR_exp_2tom33 = 0xffff - 33         // Form signexp of 2^-33
 }
-{ .mfi
-	nop.m 999
-(p9)   fcmp.ge.s1 p8,p0 = Arg,TWO_TO_24
-	nop.i 999 ;;
+;;
+
+{ .mmi
+      ldfe P_2 = [table_ptr1],16              // Load P_2
+      ldfe d_2 = [table_ptr2],16              // Load d_2 for 2^24 <= |x| < 2^63
+      cmp.ge p8,p0 = GR_exp_x, GR_exp_2_to_24 // Is |x| >= 2^24
 }
-{ .mib
-	nop.m 999
-	nop.i 999
-//
-//     Load  P_3 and -PI_BY_4
-//
-(p6)   br.cond.spnt L(TANL_ARG_TOO_LARGE) ;;
+;;
+
+// Use special scaling to right shift so N=Arg * 2/pi is in rightmost bits
+// Branch to Cases 3 or 4 if Arg <= -2**24 or Arg >= 2**24
+{ .mfb
+      ldfe   P_3 = [table_ptr1],16            // Load P_3
+      fma.s1      N_fix = Norm_Arg, FR_inv_pi_2to63, FR_rshf_2to64
+(p8)  br.cond.spnt TANL_LARGER_ARG            // Branch if 2^24 <= |x| < 2^63
 }
-{ .mib
-	nop.m 999
-	nop.i 999
-//
-//     Load 2**(-2).
-//     Load -2**(-2).
-//     Branch out if we have a special argument.
-//     Branch out if the magnitude of the input argument is too large
-//     - do this branch before the next.
+;;
+
+// Here if 0 < |x| < 2^24
+//     ARGUMENT REDUCTION CODE - CASE 1 and 2
 //
-(p8)   br.cond.spnt L(TANL_LARGER_ARG) ;;
+{ .mmf
+      setf.exp TWO_TO_NEG33 = GR_exp_2tom33      // Form 2^-33
+      setf.exp NEGTWO_TO_NEG33 = GR_exp_m2tom33  // Form -2^-33
+      fmerge.s r = Norm_Arg,Norm_Arg          // Assume r=x, ok if |x| < pi/4
 }
+;;
+
 //
-//     Branch to Cases 3 or 4 if Arg <= -2**24 or Arg >= 2**24
+// If |Arg| < pi/4,  set PR_8, else  pi/4 <=|Arg| < 2^24 - set PR_9.
 //
+//     Case 2: Convert integer N_fix back to normalized floating-point value.
 { .mfi
-(p0)   ldfs TWO_TO_NEG2 = [table_ptr2],4
-//     ARGUMENT REDUCTION CODE - CASE 1 and 2
-//     Load 2**(-2).
-//     Load -2**(-2).
-(p0)   fmpy.s1 N = Arg,two_by_PI
-	nop.i 999 ;;
+      getf.sig sig_r = Norm_Arg               // Get sig_r if 1/4 <= |x| < pi/4
+      fcmp.lt.s1 p8,p9= Abs_Arg,PI_BY_4       // Test |x| < pi/4
+      mov GR_exp_2tom2 = 0xffff - 2           // Form signexp of 2^-2
 }
 { .mfi
-(p0)   ldfs NEGTWO_TO_NEG2 = [table_ptr2],12
-//
-//     N = Arg * 2/pi
-//
-(p0)   fcmp.lt.unc.s1 p8,p9= Arg,PI_BY_4
-	nop.i 999 ;;
-}
-{ .mfi
-	nop.m 999
-//
-//     if Arg < pi/4,  set PR_8.
-//
-(p8)   fcmp.gt.s1 p8,p9= Arg,MPI_BY_4
-	nop.i 999 ;;
+      ldfps TWO_TO_NEG2, NEGTWO_TO_NEG2 = [table_ptr2] // Load 2^-2, -2^-2
+      fms.s1 N = N_fix, FR_2tom64, FR_rshf    // Use scaling to get N floated
+      mov N_fix_gr = r0                       // Assume N=0, ok if |x| < pi/4
 }
+;;
+
 //
 //     Case 1: Is |r| < 2**(-2).
 //     Arg is the same as r in this case.
 //     r = Arg
 //     c = 0
 //
+//     Case 2: Place integer part of N in GP register.
 { .mfi
-(p8)   mov N_fix_gr = r0
-//
-//     if Arg > -pi/4, reset PR_8.
-//     Select the case when |Arg| < pi/4 - set PR[8] = true.
-//     Else Select the case when |Arg| >= pi/4 - set PR[9] = true.
-//
-(p0)   fcvt.fx.s1 N_fix = N
-	nop.i 999 ;;
-}
-{ .mfi
-	nop.m 999
-//
-//     Grab the integer part of N .
-//
-(p8)   mov r = Arg
-	nop.i 999
-}
-{ .mfi
-	nop.m 999
-(p8)   mov c = f0
-	nop.i 999 ;;
-}
-{ .mfi
-	nop.m 999
-(p8)   fcmp.lt.unc.s1 p10, p11 = Arg, TWO_TO_NEG2
-	nop.i 999 ;;
+(p9)  getf.sig N_fix_gr = N_fix
+      fmerge.s c = f0, f0                     // Assume c=0, ok if |x| < pi/4
+      cmp.lt p10, p0 = GR_exp_x, GR_exp_2tom2 // Test if |x| < 1/4
 }
+;;
+
 { .mfi
-	nop.m 999
-(p10)  fcmp.gt.s1 p10,p0 = Arg, NEGTWO_TO_NEG2
-	nop.i 999 ;;
+      setf.sig B_mask1 = bmask1               // Form mask to get 5 msb of r
+      nop.f 999
+      mov exp_r = GR_exp_x                    // Get exp_r if 1/4 <= |x| < pi/4
 }
-{ .mfi
-	nop.m 999
-//
-//     Case 2: Place integer part of N in GP register.
-//
-(p9)   fcvt.xf N = N_fix
-	nop.i 999 ;;
-}
-{ .mib
-(p9)   getf.sig N_fix_gr = N_fix
-	nop.i 999
-//
-//     Case 2: Convert integer N_fix back to normalized floating-point value.
-//
-(p10)  br.cond.spnt L(TANL_SMALL_R) ;;
-}
-{ .mib
-	nop.m 999
-	nop.i 999
-(p8)   br.cond.sptk L(TANL_NORMAL_R) ;;
+{ .mbb
+      setf.sig B_mask2 = bmask2               // Form mask to form B from r
+(p10) br.cond.spnt TANL_SMALL_R               // Branch if 0 < |x| < 1/4
+(p8)  br.cond.spnt TANL_NORMAL_R              // Branch if 1/4 <= |x| < pi/4
 }
+;;
+
+// Here if pi/4 <= |x| < 2^24
 //
 //     Case 1: PR_3 is only affected  when PR_1 is set.
 //
-{ .mmi
-(p9)   ldfs TWO_TO_NEG33 = [table_ptr2], 4 ;;
 //
-//     Case 2: Load 2**(-33).
+//     Case 2: w = N * P_2
+//     Case 2: s_val = -N * P_1  + Arg
 //
-(p9)   ldfs NEGTWO_TO_NEG33 = [table_ptr2], 4
-	nop.i 999 ;;
+
+{ .mfi
+      nop.m 999
+      fnma.s1 s_val = N, P_1, Norm_Arg
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-//
-//     Case 2: Load -2**(-33).
-//
-(p9)   fnma.s1 s_val = N, P_1, Arg
-	nop.i 999
+      nop.m 999
+      fmpy.s1 w = N, P_2                     // w = N * P_2 for |s| >= 2^-33
+      nop.i 999
 }
+;;
+
+//     Case 2_reduce: w = N * P_3 (change sign)
 { .mfi
-	nop.m 999
-(p9)   fmpy.s1 w = N, P_2
-	nop.i 999 ;;
+      nop.m 999
+      fmpy.s1 w2 = N, P_3                    // w = N * P_3 for |s| < 2^-33
+      nop.i 999
 }
+;;
+
+//     Case 1_reduce: r = s + w (change sign)
 { .mfi
-	nop.m 999
-//
-//     Case 2: w = N * P_2
-//     Case 2: s_val = -N * P_1  + Arg
-//
-(p0)   fcmp.lt.unc.s1 p9,p8 = s_val, TWO_TO_NEG33
-	nop.i 999 ;;
+      nop.m 999
+      fsub.s1 r = s_val, w                   // r = s_val - w for |s| >= 2^-33
+      nop.i 999
 }
+;;
+
+//     Case 2_reduce: U_1 = N * P_2 + w
 { .mfi
-	nop.m 999
+      nop.m 999
+      fma.s1  U_1 = N, P_2, w2              // U_1 = N * P_2 + w for |s| < 2^-33
+      nop.i 999
+}
+;;
+
 //
 //     Decide between case_1 and case_2 reduce:
+//     Case 1_reduce:  |s| >= 2**(-33)
+//     Case 2_reduce:  |s| < 2**(-33)
 //
-(p9)   fcmp.gt.s1 p9, p8 = s_val, NEGTWO_TO_NEG33
-	nop.i 999 ;;
+{ .mfi
+      nop.m 999
+      fcmp.lt.s1 p9, p8 = s_val, TWO_TO_NEG33
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-//
-//     Case 1_reduce:  s <= -2**(-33) or s >= 2**(-33)
-//     Case 2_reduce: -2**(-33) < s < 2**(-33)
-//
-(p8)   fsub.s1 r = s_val, w
-	nop.i 999
+      nop.m 999
+(p9)  fcmp.gt.s1 p9, p8 = s_val, NEGTWO_TO_NEG33
+      nop.i 999
 }
+;;
+
+//     Case 1_reduce: c = s - r
 { .mfi
-	nop.m 999
-(p9)   fmpy.s1 w = N, P_3
-	nop.i 999 ;;
+      nop.m 999
+      fsub.s1 c = s_val, r                     // c = s_val - r for |s| >= 2^-33
+      nop.i 999
 }
+;;
+
+//     Case 2_reduce: r is complete here - continue to calculate c .
+//     r = s - U_1
 { .mfi
-	nop.m 999
-(p9)   fma.s1  U_1 = N, P_2, w
-	nop.i 999
+      nop.m 999
+(p9)  fsub.s1 r = s_val, U_1
+      nop.i 999
 }
 { .mfi
-	nop.m 999
+      nop.m 999
+(p9)  fms.s1 U_2 = N, P_2, U_1
+      nop.i 999
+}
+;;
+
 //
 //     Case 1_reduce: Is |r| < 2**(-2), if so set PR_10
-//     else set PR_11.
+//     else set PR_13.
 //
-(p8)   fsub.s1 c = s_val, r
-	nop.i 999 ;;
-}
+
 { .mfi
-	nop.m 999
-//
-//     Case 1_reduce: r = s + w (change sign)
-//     Case 2_reduce: w = N * P_3 (change sign)
-//
-(p8)   fcmp.lt.unc.s1 p10, p11 = r, TWO_TO_NEG2
-	nop.i 999 ;;
+      nop.m 999
+      fand B = B_mask1, r
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-(p10)  fcmp.gt.s1 p10, p11 = r, NEGTWO_TO_NEG2
-	nop.i 999 ;;
+      nop.m 999
+(p8)  fcmp.lt.unc.s1 p10, p13 = r, TWO_TO_NEG2
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p9)   fsub.s1 r = s_val, U_1
-	nop.i 999
+(p8)  getf.sig sig_r = r               // Get signif of r if |s| >= 2^-33
+      nop.f 999
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-//
+(p8)  getf.exp exp_r = r               // Extract signexp of r if |s| >= 2^-33
+(p10) fcmp.gt.s1 p10, p13 = r, NEGTWO_TO_NEG2
+      nop.i 999
+}
+;;
+
 //     Case 1_reduce: c is complete here.
+//     Case 1: Branch to SMALL_R or NORMAL_R.
 //     c = c + w (w has not been negated.)
-//     Case 2_reduce: r is complete here - continue to calculate c .
-//     r = s - U_1
-//
-(p9)   fms.s1 U_2 = N, P_2, U_1
-	nop.i 999 ;;
-}
 { .mfi
-	nop.m 999
+      nop.m 999
+(p8)  fsub.s1 c = c, w                         // c = c - w for |s| >= 2^-33
+      nop.i 999
+}
+{ .mbb
+      nop.m 999
+(p10) br.cond.spnt TANL_SMALL_R     // Branch if pi/4 < |x| < 2^24 and |r|<1/4
+(p13) br.cond.sptk TANL_NORMAL_R_A  // Branch if pi/4 < |x| < 2^24 and |r|>=1/4
+}
+;;
+
+
+// Here if pi/4 < |x| < 2^24 and |s| < 2^-33
 //
-//     Case 1_reduce: c = s - r
-//     Case 2_reduce: U_1 = N * P_2 + w
+//     Is i_1 = lsb of N_fix_gr even or odd?
+//     if i_1 == 0, set p11, else set p12.
 //
-(p8)   fsub.s1 c = c, w
-	nop.i 999 ;;
-}
 { .mfi
-	nop.m 999
-(p9)   fsub.s1 s_val = s_val, r
-	nop.i 999
+      nop.m 999
+      fsub.s1 s_val = s_val, r
+      add N_fix_gr = N_fix_gr, cot_flag // N = N + 1 (for cotl)
 }
-{ .mfb
-	nop.m 999
+{ .mfi
+      nop.m 999
 //
 //     Case 2_reduce:
 //     U_2 = N * P_2 - U_1
 //     Not needed until later.
 //
-(p9)   fadd.s1 U_2 = U_2, w
+      fadd.s1 U_2 = U_2, w2
 //
 //     Case 2_reduce:
 //     s = s - r
 //     U_2 = U_2 + w
 //
-(p10)  br.cond.spnt L(TANL_SMALL_R) ;;
-}
-{ .mib
-	nop.m 999
-	nop.i 999
-(p11)  br.cond.sptk L(TANL_NORMAL_R) ;;
+      nop.i 999
 }
-{ .mii
-	nop.m 999
+;;
+
 //
 //     Case 2_reduce:
 //     c = c - U_2
 //     c is complete here
 //     Argument reduction ends here.
 //
-(p9)   extr.u i_1 = N_fix_gr, 0, 1 ;;
-(p9)   cmp.eq.unc p11, p12 = 0x0000,i_1 ;;
-}
-{ .mfi
-	nop.m 999
-//
-//     Is i_1  even or odd?
-//     if i_1 == 0, set p11, else set p12.
-//
-(p11)  fmpy.s1 rsq = r, r
-	nop.i 999 ;;
-}
 { .mfi
-	nop.m 999
-(p12)  frcpa.s1 S_hi,p0 = f1, r
-	nop.i 999
+      nop.m 999
+      fmpy.s1 rsq = r, r
+      tbit.z p11, p12 = N_fix_gr, 0 ;;    // Set p11 if N even, p12 if odd
 }
 
-
-
-//
-//     Case 1: Branch to SMALL_R or NORMAL_R.
-//     Case 1 is done now.
-//
-
 { .mfi
-(p9)   addl           table_ptr1   = @ltoff(TANL_BASE_CONSTANTS), gp
-(p9)   fsub.s1 c = s_val, U_1
-       nop.i 999 ;;
+      nop.m 999
+(p12) frcpa.s1 S_hi,p0 = f1, r
+      nop.i 999
 }
-;;
-
-{ .mmi
-(p9)  ld8 table_ptr1 = [table_ptr1]
+{ .mfi
       nop.m 999
+      fsub.s1 c = s_val, U_1
       nop.i 999
 }
 ;;
 
-
 { .mmi
-(p9)   add table_ptr1 = 224, table_ptr1 ;;
-(p9)   ldfe P1_1 = [table_ptr1],144
-	nop.i 999 ;;
+      add table_ptr1 = 160, table_base ;;  // Point to tanl_table_p1
+      ldfe P1_1 = [table_ptr1],144
+      nop.i 999 ;;
 }
 //
-//     Get [i_1] -  lsb of N_fix_gr .
 //     Load P1_1 and point to Q1_1 .
 //
 { .mfi
-(p9)   ldfe Q1_1 = [table_ptr1] , 0
+      ldfe Q1_1 = [table_ptr1]
 //
 //     N even: rsq = r * Z
 //     N odd:  S_hi = frcpa(r)
 //
-(p12)  fmerge.ns S_hi = S_hi, S_hi
-	nop.i 999
+(p12) fmerge.ns S_hi = S_hi, S_hi
+      nop.i 999
 }
 { .mfi
-	nop.m 999
+      nop.m 999
 //
 //     Case 2_reduce:
 //     c = s - U_1
 //
-(p9)   fsub.s1 c = c, U_2
-	nop.i 999 ;;
+(p9)  fsub.s1 c = c, U_2
+      nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
-(p12)  fma.s1  poly1 = S_hi, r, f1
-	nop.i 999 ;;
+      nop.m 999
+(p12) fma.s1  poly1 = S_hi, r, f1
+      nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
+      nop.m 999
 //
 //     N odd:  Change sign of S_hi
 //
-(p11)  fmpy.s1 rsq = rsq, P1_1
-	nop.i 999 ;;
+(p11) fmpy.s1 rsq = rsq, P1_1
+      nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
-(p12)  fma.s1 S_hi = S_hi, poly1, S_hi
-	nop.i 999 ;;
+      nop.m 999
+(p12) fma.s1 S_hi = S_hi, poly1, S_hi
+      nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
+      nop.m 999
 //
 //     N even: rsq = rsq * P1_1
 //     N odd:  poly1 =  1.0 +  S_hi * r    16 bits partial  account for necessary
 //
-(p11)  fma.s1 Result = r, rsq, c
-	nop.i 999 ;;
+(p11) fma.s1 Poly = r, rsq, c
+      nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
+      nop.m 999
 //
-//     N even: Result = c  + r * rsq
+//     N even: Poly = c  + r * rsq
 //     N odd:  S_hi  = S_hi + S_hi*poly1  16 bits account for necessary
 //
-(p12)  fma.s1 poly1 = S_hi, r, f1
-	nop.i 999 ;;
+(p12) fma.s1 poly1 = S_hi, r, f1
+(p11) tbit.z.unc p14, p15 = cot_flag, 0 ;; // p14=1 for tanl; p15=1 for cotl
 }
 { .mfi
-	nop.m 999
+      nop.m 999
 //
-//     N even: Result = Result + r
+//     N even: Result = Poly + r
 //     N odd:  poly1  = 1.0 + S_hi * r        32 bits partial
 //
-(p11)  fadd.s0 Result = r, Result
-	nop.i 999 ;;
+(p14) fadd.s0 Result = r, Poly             // for tanl
+      nop.i 999
+}
+{ .mfi
+      nop.m 999
+(p15) fms.s0 Result = r, mOne, Poly        // for cotl
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p12)  fma.s1  S_hi = S_hi, poly1, S_hi
-	nop.i 999 ;;
+      nop.m 999
+(p12) fma.s1  S_hi = S_hi, poly1, S_hi
+      nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
+      nop.m 999
 //
 //     N even: Result1 = Result + r
 //     N odd:   S_hi  = S_hi * poly1 + S_hi   32 bits
 //
-(p12)  fma.s1 poly1 = S_hi, r, f1
-	nop.i 999 ;;
+(p12) fma.s1 poly1 = S_hi, r, f1
+      nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
+      nop.m 999
 //
 //     N odd:  poly1  =  S_hi * r + 1.0       64 bits partial
 //
-(p12)  fma.s1 S_hi = S_hi, poly1, S_hi
-	nop.i 999 ;;
+(p12) fma.s1 S_hi = S_hi, poly1, S_hi
+      nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
+      nop.m 999
 //
 //     N odd:  poly1  =  S_hi * poly + 1.0    64 bits
 //
-(p12)  fma.s1 poly1 = S_hi, r, f1
-	nop.i 999 ;;
+(p12) fma.s1 poly1 = S_hi, r, f1
+      nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
+      nop.m 999
 //
 //     N odd:  poly1  =  S_hi * r + 1.0
 //
-(p12)  fma.s1 poly1 = S_hi, c, poly1
-	nop.i 999 ;;
+(p12) fma.s1 poly1 = S_hi, c, poly1
+      nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
+      nop.m 999
 //
 //     N odd:  poly1  =  S_hi * c + poly1
 //
-(p12)  fmpy.s1 S_lo = S_hi, poly1
-	nop.i 999 ;;
+(p12) fmpy.s1 S_lo = S_hi, poly1
+      nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
+      nop.m 999
 //
 //     N odd:  S_lo  =  S_hi *  poly1
 //
-(p12)  fma.s1 S_lo = Q1_1, r, S_lo
-	nop.i 999
+(p12) fma.s1 S_lo = Q1_1, r, S_lo
+(p12) tbit.z.unc p14, p15 = cot_flag, 0 // p14=1 for tanl; p15=1 for cotl
 }
 { .mfi
-	nop.m 999
+      nop.m 999
 //
 //     N odd:  Result =  S_hi + S_lo
 //
-(p0)   fmpy.s0 fp_tmp = fp_tmp, fp_tmp  // Dummy mult to set inexact
-	nop.i 999 ;;
+      fmpy.s0 fp_tmp = fp_tmp, fp_tmp  // Dummy mult to set inexact
+      nop.i 999 ;;
 }
-{ .mfb
-	nop.m 999
+{ .mfi
+      nop.m 999
 //
 //     N odd:  S_lo  =  S_lo + Q1_1 * r
 //
-(p12)  fadd.s0 Result = S_hi, S_lo
-(p0)   br.ret.sptk b0 ;;
+(p14) fadd.s0 Result = S_hi, S_lo          // for tanl
+      nop.i 999
+}
+{ .mfb
+      nop.m 999
+(p15) fms.s0 Result = S_hi, mOne, S_lo     // for cotl
+      br.ret.sptk b0 ;;          // Exit for pi/4 <= |x| < 2^24 and |s| < 2^-33
 }
 
 
-L(TANL_LARGER_ARG): 
-
+TANL_LARGER_ARG:
+// Here if 2^24 <= |x| < 2^63
 //
 // ARGUMENT REDUCTION CODE - CASE 3 and 4
 //
 
-{ .mfi
-(p0)  addl           table_ptr1   = @ltoff(TANL_BASE_CONSTANTS), gp
-(p0)  fmpy.s1 N_0 = Arg, Inv_P_0 
-	nop.i 999
+{ .mmf
+      mov GR_exp_2tom14 = 0xffff - 14          // Form signexp of 2^-14
+      mov GR_exp_m2tom14 = 0x2ffff - 14        // Form signexp of -2^-14
+      fmpy.s1 N_0 = Norm_Arg, Inv_P_0
 }
 ;;
 
 { .mmi
-(p0)  ld8 table_ptr1 = [table_ptr1]
-      nop.m 999
+      setf.exp TWO_TO_NEG14 = GR_exp_2tom14    // Form 2^-14
+      setf.exp NEGTWO_TO_NEG14 = GR_exp_m2tom14// Form -2^-14
       nop.i 999
 }
 ;;
@@ -1622,661 +1806,605 @@ L(TANL_LARGER_ARG):
 //    N_0 = Arg * Inv_P_0
 //
 { .mmi
-(p0)  add table_ptr1 = 8, table_ptr1 ;;
-//
-//    Point to  2*-14
-//
-(p0)  ldfs TWO_TO_NEG14 = [table_ptr1], 4
-	nop.i 999 ;;
+      add table_ptr2 = 144, table_base ;;     // Point to 2^-2
+      ldfps TWO_TO_NEG2, NEGTWO_TO_NEG2 = [table_ptr2]
+      nop.i 999
 }
-//
-//    Load 2**(-14).
-//
-{ .mmi
-(p0)  ldfs NEGTWO_TO_NEG14 = [table_ptr1], 180 ;;
+;;
+
 //
 //    N_0_fix  = integer part of N_0 .
-//    Adjust table_ptr1 to beginning of table.
 //
-(p0)  ldfs TWO_TO_NEG2 = [table_ptr1], 4
-	nop.i 999 ;;
-}
 //
 //    Make N_0 the integer part.
 //
 { .mfi
-(p0)  ldfs NEGTWO_TO_NEG2 = [table_ptr1]
-//
-//    Load -2**(-14).
-//
-(p0)  fcvt.fx.s1 N_0_fix = N_0
-	nop.i 999 ;;
+      nop.m 999
+      fcvt.fx.s1 N_0_fix = N_0
+      nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
-(p0)  fcvt.xf N_0 = N_0_fix
-	nop.i 999 ;;
+      setf.sig B_mask1 = bmask1               // Form mask to get 5 msb of r
+      fcvt.xf N_0 = N_0_fix
+      nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
-(p0)  fnma.s1 ArgPrime = N_0, P_0, Arg
-	nop.i 999
+      setf.sig B_mask2 = bmask2               // Form mask to form B from r
+      fnma.s1 ArgPrime = N_0, P_0, Norm_Arg
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-(p0)  fmpy.s1 w = N_0, d_1
-	nop.i 999 ;;
+      nop.m 999
+      fmpy.s1 w = N_0, d_1
+      nop.i 999 ;;
 }
-{ .mfi
-	nop.m 999
 //
 //    ArgPrime = -N_0 * P_0 + Arg
 //    w  = N_0 * d_1
 //
-(p0)  fmpy.s1 N = ArgPrime, two_by_PI
-	nop.i 999 ;;
-}
-{ .mfi
-	nop.m 999
 //
 //    N = ArgPrime * 2/pi
 //
-(p0)  fcvt.fx.s1 N_fix = N
-	nop.i 999 ;;
-}
+//      fcvt.fx.s1 N_fix = N
+// Use special scaling to right shift so N=Arg * 2/pi is in rightmost bits
+// Branch to Cases 3 or 4 if Arg <= -2**24 or Arg >= 2**24
 { .mfi
-	nop.m 999
-//
-//    N_fix is the integer part.
-//
-(p0)  fcvt.xf N = N_fix
-	nop.i 999 ;;
+      nop.m 999
+      fma.s1      N_fix = ArgPrime, FR_inv_pi_2to63, FR_rshf_2to64
+
+      nop.i 999 ;;
 }
+//     Convert integer N_fix back to normalized floating-point value.
 { .mfi
-(p0)  getf.sig N_fix_gr = N_fix
-	nop.f 999
-	nop.i 999 ;;
+      nop.m 999
+      fms.s1 N = N_fix, FR_2tom64, FR_rshf    // Use scaling to get N floated
+      nop.i 999
 }
-{ .mfi
-	nop.m 999
+;;
+
 //
 //    N is the integer part of the reduced-reduced argument.
 //    Put the integer in a GP register.
 //
-(p0)  fnma.s1 s_val = N, P_1, ArgPrime
-	nop.i 999
-}
 { .mfi
-	nop.m 999
-(p0)  fnma.s1 w = N, P_2, w
-	nop.i 999 ;;
+      getf.sig N_fix_gr = N_fix
+      nop.f 999
+      nop.i 999
 }
-{ .mfi
-	nop.m 999
+;;
+
 //
 //    s_val = -N*P_1 + ArgPrime
 //    w = -N*P_2 + w
 //
-(p0)  fcmp.lt.unc.s1 p11, p10 = s_val, TWO_TO_NEG14
-	nop.i 999 ;;
-}
-{ .mfi
-	nop.m 999
-(p11) fcmp.gt.s1 p11, p10 = s_val, NEGTWO_TO_NEG14
-	nop.i 999 ;;
-}
 { .mfi
-	nop.m 999
-//
-//    Case 3: r = s_val + w (Z complete)
-//    Case 4: U_hi = N_0 * d_1
-//
-(p10) fmpy.s1 V_hi = N, P_2
-	nop.i 999
+      nop.m 999
+      fnma.s1 s_val = N, P_1, ArgPrime
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-(p11) fmpy.s1 U_hi = N_0, d_1
-	nop.i 999 ;;
+      nop.m 999
+      fnma.s1 w = N, P_2, w
+      nop.i 999
 }
-{ .mfi
-	nop.m 999
-//
-//    Case 3: r = s_val + w (Z complete)
+;;
+
+//    Case 4: V_hi = N * P_2
 //    Case 4: U_hi = N_0 * d_1
-//
-(p11) fmpy.s1 V_hi = N, P_2
-	nop.i 999
-}
 { .mfi
-	nop.m 999
-(p11) fmpy.s1 U_hi = N_0, d_1
-	nop.i 999 ;;
+      nop.m 999
+      fmpy.s1 V_hi = N, P_2               // V_hi = N * P_2 for |s| < 2^-14
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-//
-//    Decide between case 3 and 4:
-//    Case 3:  s <= -2**(-14) or s >= 2**(-14)
-//    Case 4: -2**(-14) < s < 2**(-14)
-//
-(p10) fadd.s1 r = s_val, w
-	nop.i 999
+      nop.m 999
+      fmpy.s1 U_hi = N_0, d_1             // U_hi = N_0 * d_1 for |s| < 2^-14
+      nop.i 999
 }
+;;
+
+//    Case 3: r = s_val + w (Z complete)
+//    Case 4: w = N * P_3
 { .mfi
-	nop.m 999
-(p11) fmpy.s1 w = N, P_3
-	nop.i 999 ;;
+      nop.m 999
+      fadd.s1 r = s_val, w                // r = s_val + w for |s| >= 2^-14
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-//
-//    Case 4: We need abs of both U_hi and V_hi - dont
-//    worry about switched sign of V_hi .
-//
-(p11) fsub.s1 A = U_hi, V_hi
-	nop.i 999
+      nop.m 999
+      fmpy.s1 w2 = N, P_3                 // w = N * P_3 for |s| < 2^-14
+      nop.i 999
 }
-{ .mfi
-	nop.m 999
-//
+;;
+
 //    Case 4: A =  U_hi + V_hi
 //    Note: Worry about switched sign of V_hi, so subtract instead of add.
-//
-(p11) fnma.s1 V_lo = N, P_2, V_hi
-	nop.i 999 ;;
+//    Case 4: V_lo = -N * P_2 - V_hi (U_hi is in place of V_hi in writeup)
+//    Note: the (-) is still missing for V_hi.
+{ .mfi
+      nop.m 999
+      fsub.s1 A = U_hi, V_hi           // A = U_hi - V_hi for |s| < 2^-14
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-(p11) fms.s1 U_lo = N_0, d_1, U_hi
-	nop.i 999 ;;
+      nop.m 999
+      fnma.s1 V_lo = N, P_2, V_hi      // V_lo = V_hi - N * P_2 for |s| < 2^-14
+      nop.i 999
 }
+;;
+
+//    Decide between case 3 and 4:
+//    Case 3:  |s| >= 2**(-14)     Set p10
+//    Case 4:  |s| <  2**(-14)     Set p11
+//
+//    Case 4: U_lo = N_0 * d_1 - U_hi
 { .mfi
-	nop.m 999
-(p11) fabs V_hiabs = V_hi
-	nop.i 999
+      nop.m 999
+      fms.s1 U_lo = N_0, d_1, U_hi     // U_lo = N_0*d_1 - U_hi for |s| < 2^-14
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-//
-//    Case 4: V_hi = N * P_2
-//            w = N * P_3
-//    Note the product does not include the (-) as in the writeup
-//    so (-) missing for V_hi and w .
-(p10) fadd.s1 r = s_val, w
-	nop.i 999 ;;
+      nop.m 999
+      fcmp.lt.s1 p11, p10 = s_val, TWO_TO_NEG14
+      nop.i 999
 }
+;;
+
+//    Case 4: We need abs of both U_hi and V_hi - dont
+//    worry about switched sign of V_hi.
 { .mfi
-	nop.m 999
-//
-//    Case 3: c = s_val - r
-//    Case 4: U_lo = N_0 * d_1 - U_hi
-//
-(p11) fabs U_hiabs = U_hi
-	nop.i 999
+      nop.m 999
+      fabs V_hiabs = V_hi              // |V_hi| for |s| < 2^-14
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-(p11) fmpy.s1 w = N, P_3
-	nop.i 999 ;;
+      nop.m 999
+(p11) fcmp.gt.s1 p11, p10 = s_val, NEGTWO_TO_NEG14
+      nop.i 999
 }
+;;
+
+//    Case 3: c = s_val - r
 { .mfi
-	nop.m 999
-//
-//    Case 4: Set P_12 if U_hiabs >= V_hiabs
-//
-(p11) fadd.s1 C_hi = s_val, A
-	nop.i 999 ;;
+      nop.m 999
+      fabs U_hiabs = U_hi              // |U_hi| for |s| < 2^-14
+      nop.i 999
 }
 { .mfi
-	nop.m 999
+      nop.m 999
+      fsub.s1 c = s_val, r             // c = s_val - r    for |s| >= 2^-14
+      nop.i 999
+}
+;;
+
+// For Case 3, |s| >= 2^-14, determine if |r| < 1/4
 //
 //    Case 4: C_hi = s_val + A
 //
-(p11) fadd.s1 t = U_lo, V_lo
-	nop.i 999 ;;
-}
 { .mfi
-	nop.m 999
-//
-//    Case 3: Is |r| < 2**(-2), if so set PR_7
-//    else set PR_8.
-//    Case 3: If PR_7 is set, prepare to branch to Small_R.
-//    Case 3: If PR_8 is set, prepare to branch to Normal_R.
-//
-(p10) fsub.s1 c = s_val, r
-	nop.i 999 ;;
+      nop.m 999
+(p11) fadd.s1 C_hi = s_val, A              // C_hi = s_val + A for |s| < 2^-14
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-//
-//    Case 3: c = (s - r) + w (c complete)
-//
-(p11) fcmp.ge.unc.s1 p12, p13 = U_hiabs, V_hiabs
-	nop.i 999
+      nop.m 999
+(p10) fcmp.lt.unc.s1 p14, p15 = r, TWO_TO_NEG2
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p11) fms.s1 w = N_0, d_2, w
-	nop.i 999 ;;
+      getf.sig sig_r = r               // Get signif of r if |s| >= 2^-33
+      fand B = B_mask1, r
+      nop.i 999
 }
+;;
+
+//    Case 4: t = U_lo + V_lo
 { .mfi
-	nop.m 999
-//
-//    Case 4: V_hi = N * P_2
-//            w = N * P_3
-//    Note the product does not include the (-) as in the writeup
-//    so (-) missing for V_hi and w .
-//
-(p10) fcmp.lt.unc.s1 p14, p15 = r, TWO_TO_NEG2
-	nop.i 999 ;;
+      getf.exp exp_r = r               // Extract signexp of r if |s| >= 2^-33
+(p11) fadd.s1 t = U_lo, V_lo               // t = U_lo + V_lo for |s| < 2^-14
+      nop.i 999
 }
 { .mfi
-	nop.m 999
+      nop.m 999
 (p14) fcmp.gt.s1 p14, p15 = r, NEGTWO_TO_NEG2
-	nop.i 999 ;;
+      nop.i 999
 }
-{ .mfb
-	nop.m 999
+;;
+
+//    Case 3: c = (s - r) + w (c complete)
+{ .mfi
+      nop.m 999
+(p10) fadd.s1 c = c, w              // c = c + w for |s| >= 2^-14
+      nop.i 999
+}
+{ .mbb
+      nop.m 999
+(p14) br.cond.spnt TANL_SMALL_R     // Branch if 2^24 <= |x| < 2^63 and |r|< 1/4
+(p15) br.cond.sptk TANL_NORMAL_R_A  // Branch if 2^24 <= |x| < 2^63 and |r|>=1/4
+}
+;;
+
+
+// Here if 2^24 <= |x| < 2^63 and |s| < 2^-14  >>>>>>>  Case 4.
 //
-//    Case 4: V_lo = -N * P_2 - V_hi (U_hi is in place of V_hi in writeup)
-//    Note: the (-) is still missing for V_hi .
+//    Case 4: Set P_12 if U_hiabs >= V_hiabs
 //    Case 4: w = w + N_0 * d_2
 //    Note: the (-) is now incorporated in w .
-//
-(p10) fadd.s1 c = c, w
-//
-//    Case 4: t = U_lo + V_lo
-//    Note: remember V_lo should be (-), subtract instead of add. NO
-//
-(p14) br.cond.spnt L(TANL_SMALL_R) ;;
-}
-{ .mib
-	nop.m 999
-	nop.i 999
-(p15) br.cond.spnt L(TANL_NORMAL_R) ;;
-}
 { .mfi
-	nop.m 999
-//
-//    Case 3: Vector off when |r| < 2**(-2).  Recall that PR_3 will be true.
-//    The remaining stuff is for Case 4.
-//
-(p12) fsub.s1 a = U_hi, A
-(p11) extr.u i_1 = N_fix_gr, 0, 1 ;;
+      add table_ptr1 = 160, table_base           // Point to tanl_table_p1
+      fcmp.ge.unc.s1 p12, p13 = U_hiabs, V_hiabs
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-//
-//    Case 4: C_lo = s_val - C_hi
-//
-(p11) fadd.s1 t = t, w
-	nop.i 999
+      nop.m 999
+      fms.s1 w2 = N_0, d_2, w2
+      nop.i 999
 }
+;;
+
+//    Case 4: C_lo = s_val - C_hi
 { .mfi
-	nop.m 999
-(p13) fadd.s1 a = V_hi, A
-	nop.i 999 ;;
+      ldfe P1_1 = [table_ptr1], 16               // Load P1_1
+      fsub.s1 C_lo = s_val, C_hi
+      nop.i 999
 }
-
-
+;;
 
 //
 //    Case 4: a = U_hi - A
 //            a = V_hi - A (do an add to account for missing (-) on V_hi
 //
-
 { .mfi
-(p11)  addl           table_ptr1   = @ltoff(TANL_BASE_CONSTANTS), gp
-(p11) fsub.s1 C_lo = s_val, C_hi
-	nop.i 999
+      ldfe P1_2 = [table_ptr1], 128              // Load P1_2
+(p12) fsub.s1 a = U_hi, A
+      nop.i 999
+}
+{ .mfi
+      nop.m 999
+(p13) fadd.s1 a = V_hi, A
+      nop.i 999
 }
 ;;
 
+//    Case 4: t = U_lo + V_lo  + w
+{ .mfi
+      ldfe Q1_1 = [table_ptr1], 16               // Load Q1_1
+      fadd.s1 t = t, w2
+      nop.i 999
+}
+;;
 
-
-//
 //    Case 4: a = (U_hi - A)  + V_hi
 //            a = (V_hi - A)  + U_hi
 //    In each case account for negative missing form V_hi .
 //
-
-
-{ .mmi
-(p11)  ld8 table_ptr1 = [table_ptr1]
+{ .mfi
+      ldfe Q1_2 = [table_ptr1], 16               // Load Q1_2
+(p12) fsub.s1 a = a, V_hi
+      nop.i 999
+}
+{ .mfi
       nop.m 999
+(p13) fsub.s1 a = U_hi, a
       nop.i 999
 }
 ;;
 
-
 //
 //    Case 4: C_lo = (s_val - C_hi) + A
 //
-{ .mmi
-(p11) add table_ptr1 = 224, table_ptr1 ;;
-(p11) ldfe P1_1 = [table_ptr1], 16
-	nop.i 999 ;;
-}
 { .mfi
-(p11) ldfe P1_2 = [table_ptr1], 128
-//
-//    Case 4: w = U_lo + V_lo  + w
-//
-(p12) fsub.s1 a = a, V_hi
-	nop.i 999 ;;
-}
-//
-//    Case 4: r = C_hi + C_lo
-//
-{ .mfi
-(p11) ldfe Q1_1 = [table_ptr1], 16
-(p11) fadd.s1 C_lo = C_lo, A
-	nop.i 999 ;;
+      nop.m 999
+      fadd.s1 C_lo = C_lo, A
+      nop.i 999 ;;
 }
 //
-//    Case 4: c = C_hi - r
-//    Get [i_1] - lsb of N_fix_gr.
+//    Case 4: t = t + a
 //
 { .mfi
-(p11) ldfe Q1_2 = [table_ptr1], 16
-	nop.f 999
-	nop.i 999 ;;
+      nop.m 999
+      fadd.s1 t = t, a
+      nop.i 999
 }
+;;
+
+//    Case 4: C_lo = C_lo + t
+//    Case 4: r = C_hi + C_lo
 { .mfi
-	nop.m 999
-(p13) fsub.s1 a = U_hi, a
-	nop.i 999 ;;
+      nop.m 999
+      fadd.s1 C_lo = C_lo, t
+      nop.i 999
 }
+;;
+
 { .mfi
-	nop.m 999
-(p11) fadd.s1 t = t, a
-	nop.i 999 ;;
+      nop.m 999
+      fadd.s1 r = C_hi, C_lo
+      nop.i 999
 }
-{ .mfi
-	nop.m 999
+;;
+
 //
-//    Case 4: t = t + a
+//    Case 4: c = C_hi - r
 //
-(p11) fadd.s1 C_lo = C_lo, t
-	nop.i 999 ;;
-}
 { .mfi
-	nop.m 999
-//
-//    Case 4: C_lo = C_lo + t
-//
-(p11) fadd.s1 r = C_hi, C_lo
-	nop.i 999 ;;
+      nop.m 999
+      fsub.s1 c = C_hi, r
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-(p11) fsub.s1 c = C_hi, r
-	nop.i 999
+      nop.m 999
+      fmpy.s1 rsq = r, r
+      add N_fix_gr = N_fix_gr, cot_flag // N = N + 1 (for cotl)
 }
-{ .mfi
-	nop.m 999
-//
+;;
+
 //    Case 4: c = c + C_lo  finished.
-//    Is i_1  even or odd?
-//    if i_1 == 0, set PR_4, else set PR_5.
 //
-// r and c have been computed.
-// We known whether this is the sine or cosine routine.
-// Make sure ftz mode is set - should be automatic when using wre
-(p0)  fmpy.s1 rsq = r, r
-	nop.i 999 ;;
-}
+//    Is i_1 = lsb of N_fix_gr even or odd?
+//    if i_1 == 0, set PR_11, else set PR_12.
+//
 { .mfi
-	nop.m 999
-(p11) fadd.s1 c = c , C_lo
-(p11) cmp.eq.unc p11, p12 =  0x0000, i_1 ;;
+      nop.m 999
+      fadd.s1 c = c , C_lo
+      tbit.z p11, p12 =  N_fix_gr, 0
 }
+;;
+
+// r and c have been computed.
 { .mfi
-	nop.m 999
+      nop.m 999
 (p12) frcpa.s1 S_hi, p0 = f1, r
-	nop.i 999
+      nop.i 999
 }
 { .mfi
-	nop.m 999
+      nop.m 999
 //
 //    N odd: Change sign of S_hi
 //
-(p11) fma.s1 Result = rsq, P1_2, P1_1
-	nop.i 999 ;;
+(p11) fma.s1 Poly = rsq, P1_2, P1_1
+      nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
+      nop.m 999
 (p12) fma.s1 P = rsq, Q1_2, Q1_1
-	nop.i 999
+      nop.i 999
 }
 { .mfi
-	nop.m 999
+      nop.m 999
 //
 //    N odd:  Result  =  S_hi + S_lo      (User supplied rounding mode for C1)
 //
-(p0)   fmpy.s0 fp_tmp = fp_tmp, fp_tmp  // Dummy mult to set inexact
-	nop.i 999 ;;
+       fmpy.s0 fp_tmp = fp_tmp, fp_tmp  // Dummy mult to set inexact
+      nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
+      nop.m 999
 //
 //    N even: rsq = r * r
 //    N odd:  S_hi = frcpa(r)
 //
 (p12) fmerge.ns S_hi = S_hi, S_hi
-	nop.i 999
+      nop.i 999
 }
 { .mfi
-	nop.m 999
+      nop.m 999
 //
 //    N even: rsq = rsq * P1_2 + P1_1
 //    N odd:  poly1 =  1.0 +  S_hi * r    16 bits partial  account for necessary
 //
-(p11) fmpy.s1 Result = rsq, Result
-	nop.i 999 ;;
+(p11) fmpy.s1 Poly = rsq, Poly
+      nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
+      nop.m 999
 (p12) fma.s1 poly1 = S_hi, r,f1
-	nop.i 999
+(p11) tbit.z.unc p14, p15 = cot_flag, 0 // p14=1 for tanl; p15=1 for cotl
 }
 { .mfi
-	nop.m 999
+      nop.m 999
 //
-//    N even: Result =  Result * rsq
+//    N even: Poly =  Poly * rsq
 //    N odd:  S_hi  = S_hi + S_hi*poly1  16 bits account for necessary
 //
-(p11) fma.s1 Result = r, Result, c
-	nop.i 999 ;;
+(p11) fma.s1 Poly = r, Poly, c
+      nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
+      nop.m 999
 (p12) fma.s1 S_hi = S_hi, poly1, S_hi
-	nop.i 999
+      nop.i 999
 }
 { .mfi
-	nop.m 999
+      nop.m 999
 //
 //    N odd:   S_hi  = S_hi * poly1 + S_hi   32 bits
 //
-(p11) fadd.s0 Result= r, Result
-	nop.i 999 ;;
+(p14) fadd.s0 Result = r, Poly          // for tanl
+      nop.i 999 ;;
 }
+
+.pred.rel "mutex",p15,p12
 { .mfi
-	nop.m 999
+      nop.m 999
+(p15) fms.s0 Result = r, mOne, Poly     // for cotl
+      nop.i 999
+}
+{ .mfi
+      nop.m 999
 (p12) fma.s1 poly1 =  S_hi, r, f1
-	nop.i 999 ;;
+      nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
+      nop.m 999
 //
-//    N even: Result = Result * r + c
+//    N even: Poly = Poly * r + c
 //    N odd:  poly1  = 1.0 + S_hi * r        32 bits partial
 //
 (p12) fma.s1 S_hi = S_hi, poly1, S_hi
-	nop.i 999 ;;
+      nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
+      nop.m 999
 (p12) fma.s1 poly1 = S_hi, r, f1
-	nop.i 999 ;;
+      nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
+      nop.m 999
 //
-//    N even: Result1 = Result + r  (Rounding mode S0)
+//    N even: Result = Poly + r  (Rounding mode S0)
 //    N odd:  poly1  =  S_hi * r + 1.0       64 bits partial
 //
 (p12) fma.s1 S_hi = S_hi, poly1, S_hi
-	nop.i 999 ;;
+      nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
+      nop.m 999
 //
 //    N odd:  poly1  =  S_hi * poly + S_hi    64 bits
 //
 (p12) fma.s1 poly1 = S_hi, r, f1
-	nop.i 999 ;;
+      nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
+      nop.m 999
 //
 //    N odd:  poly1  =  S_hi * r + 1.0
 //
 (p12) fma.s1 poly1 = S_hi, c, poly1
-	nop.i 999 ;;
+      nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
+      nop.m 999
 //
 //    N odd:  poly1  =  S_hi * c + poly1
 //
 (p12) fmpy.s1 S_lo = S_hi, poly1
-	nop.i 999 ;;
+      nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
+      nop.m 999
 //
 //    N odd:  S_lo  =  S_hi *  poly1
 //
 (p12) fma.s1 S_lo = P, r, S_lo
-	nop.i 999 ;;
+(p12) tbit.z.unc p14, p15 = cot_flag, 0 ;; // p14=1 for tanl; p15=1 for cotl
+}
+
+{ .mfi
+      nop.m 999
+(p14) fadd.s0 Result = S_hi, S_lo           // for tanl
+      nop.i 999
 }
 { .mfb
-	nop.m 999
+      nop.m 999
 //
 //    N odd:  S_lo  =  S_lo + r * P
 //
-(p12) fadd.s0 Result = S_hi, S_lo
-(p0)   br.ret.sptk b0 ;;
+(p15) fms.s0 Result = S_hi, mOne, S_lo      // for cotl
+      br.ret.sptk b0 ;;      // Exit for 2^24 <= |x| < 2^63 and |s| < 2^-14
 }
 
 
-L(TANL_SMALL_R): 
-{ .mii
-	nop.m 999
-(p0)  extr.u i_1 = N_fix_gr, 0, 1 ;;
-(p0)  cmp.eq.unc p11, p12 = 0x0000, i_1
-}
+TANL_SMALL_R:
+// Here if |r| < 1/4
+// r and c have been computed.
+// *****************************************************************
+// *****************************************************************
+// *****************************************************************
+//    N odd:  S_hi = frcpa(r)
+//    Get [i_1] - lsb of N_fix_gr.  Set p11 if N even, p12 if N odd.
+//    N even: rsq = r * r
 { .mfi
-	nop.m 999
-(p0)  fmpy.s1 rsq = r, r
-	nop.i 999 ;;
+      add table_ptr1 = 160, table_base    // Point to tanl_table_p1
+      frcpa.s1 S_hi, p0 = f1, r           // S_hi for N odd
+      add N_fix_gr = N_fix_gr, cot_flag   // N = N + 1 (for cotl)
 }
 { .mfi
-(p0)  addl           table_ptr1   = @ltoff(TANL_BASE_CONSTANTS), gp
-(p12) frcpa.s1 S_hi, p0 = f1, r
-	nop.i 999
+      add table_ptr2 = 400, table_base    // Point to Q1_7
+      fmpy.s1 rsq = r, r
+      nop.i 999
 }
 ;;
 
-
 { .mmi
-(p0)  ld8 table_ptr1 = [table_ptr1]
-      nop.m 999
-      nop.i 999
+      ldfe P1_1 = [table_ptr1], 16
+;;
+      ldfe P1_2 = [table_ptr1], 16
+      tbit.z p11, p12 = N_fix_gr, 0
 }
 ;;
 
-// *****************************************************************
-// *****************************************************************
-// *****************************************************************
-
 
-{ .mmi
-(p0)  add table_ptr1 = 224, table_ptr1 ;;
-(p0)  ldfe P1_1 = [table_ptr1], 16
-	nop.i 999 ;;
-}
-//    r and c have been computed.
-//    We known whether this is the sine or cosine routine.
-//    Make sure ftz mode is set - should be automatic when using wre
-//    |r| < 2**(-2)
 { .mfi
-(p0)  ldfe P1_2 = [table_ptr1], 16
-(p11) fmpy.s1 r_to_the_8 = rsq, rsq
-	nop.i 999 ;;
+      ldfe P1_3 = [table_ptr1], 96
+      nop.f 999
+      nop.i 999
 }
-//
-//    Set table_ptr1 to beginning of constant table.
-//    Get [i_1] - lsb of N_fix_gr.
-//
+;;
+
 { .mfi
-(p0)  ldfe P1_3 = [table_ptr1], 96
-//
-//    N even: rsq = r * r
-//    N odd:  S_hi = frcpa(r)
-//
+(p11) ldfe P1_9 = [table_ptr1], -16
 (p12) fmerge.ns S_hi = S_hi, S_hi
-	nop.i 999 ;;
+      nop.i 999
 }
-//
-//    Is i_1  even or odd?
-//    if i_1 == 0, set PR_11.
-//    if i_1 != 0, set PR_12.
-//
 { .mfi
-(p11) ldfe P1_9 = [table_ptr1], -16
+      nop.m 999
+(p11) fmpy.s1 r_to_the_8 = rsq, rsq
+      nop.i 999
+}
+;;
+
 //
 //    N even: Poly2 = P1_7 + Poly2 * rsq
 //    N odd:  poly2 = Q1_5 + poly2 * rsq
 //
+{ .mfi
+(p11) ldfe P1_8 = [table_ptr1], -16
 (p11) fadd.s1 CORR = rsq, f1
-	nop.i 999 ;;
+      nop.i 999
 }
-{ .mmi
-(p11) ldfe P1_8 = [table_ptr1], -16 ;;
+;;
+
 //
 //    N even: Poly1 = P1_2 + P1_3 * rsq
-//    N odd:  poly1 =  1.0 +  S_hi * r     
+//    N odd:  poly1 =  1.0 +  S_hi * r
 //    16 bits partial  account for necessary (-1)
 //
+{ .mmi
 (p11) ldfe P1_7 = [table_ptr1], -16
-	nop.i 999 ;;
+;;
+(p11) ldfe P1_6 = [table_ptr1], -16
+      nop.i 999
 }
+;;
+
 //
 //    N even: Poly1 = P1_1 + Poly1 * rsq
 //    N odd:  S_hi  =  S_hi + S_hi * poly1)     16 bits account for necessary
 //
-{ .mfi
-(p11) ldfe P1_6 = [table_ptr1], -16
 //
 //    N even: Poly2 = P1_5 + Poly2 * rsq
 //    N odd:  poly2 = Q1_3 + poly2 * rsq
 //
+{ .mfi
+(p11) ldfe P1_5 = [table_ptr1], -16
 (p11) fmpy.s1 r_to_the_8 = r_to_the_8, r_to_the_8
-	nop.i 999 ;;
+      nop.i 999
 }
+{ .mfi
+      nop.m 999
+(p12) fma.s1 poly1 =  S_hi, r, f1
+      nop.i 999
+}
+;;
+
 //
 //    N even: Poly1 =  Poly1 * rsq
 //    N odd:  poly1  = 1.0 + S_hi * r         32 bits partial
 //
-{ .mfi
-(p11) ldfe P1_5 = [table_ptr1], -16
-(p12) fma.s1 poly1 =  S_hi, r, f1
-	nop.i 999 ;;
-}
 
 //
 //    N even: CORR =  CORR * c
@@ -2290,44 +2418,30 @@ L(TANL_SMALL_R):
 
 { .mmf
 (p11) ldfe P1_4 = [table_ptr1], -16
-(p0)  addl           table_ptr2   = @ltoff(TANL_BASE_CONSTANTS), gp
-(p11) fmpy.s1 CORR =  CORR, c
-}
-;;
-
-
-{ .mmi
-(p0)  ld8 table_ptr2 = [table_ptr2]
       nop.m 999
-      nop.i 999
+(p11) fmpy.s1 CORR =  CORR, c
 }
 ;;
 
-
-{ .mii
-(p0)  add table_ptr2 = 464, table_ptr2
-	nop.i 999 ;;
-	nop.i 999
-}
 { .mfi
-	nop.m 999
+      nop.m 999
 (p11) fma.s1 Poly1 = P1_3, rsq, P1_2
-	nop.i 999 ;;
+      nop.i 999 ;;
 }
 { .mfi
-(p0)  ldfe Q1_7 = [table_ptr2], -16
+(p12) ldfe Q1_7 = [table_ptr2], -16
 (p12) fma.s1 S_hi = S_hi, poly1, S_hi
-	nop.i 999 ;;
+      nop.i 999 ;;
 }
 { .mfi
-(p0)  ldfe Q1_6 = [table_ptr2], -16
+(p12) ldfe Q1_6 = [table_ptr2], -16
 (p11) fma.s1 Poly2 = P1_9, rsq, P1_8
-	nop.i 999 ;;
+      nop.i 999 ;;
 }
 { .mmi
-(p0)  ldfe Q1_5 = [table_ptr2], -16 ;;
+(p12) ldfe Q1_5 = [table_ptr2], -16 ;;
 (p12) ldfe Q1_4 = [table_ptr2], -16
-	nop.i 999 ;;
+      nop.i 999 ;;
 }
 { .mfi
 (p12) ldfe Q1_3 = [table_ptr2], -16
@@ -2336,735 +2450,795 @@ L(TANL_SMALL_R):
 //    N odd:  poly2 = Q1_6 + Q1_7 * rsq
 //
 (p11) fma.s1 Poly1 = Poly1, rsq, P1_1
-	nop.i 999 ;;
+      nop.i 999 ;;
 }
 { .mfi
 (p12) ldfe Q1_2 = [table_ptr2], -16
 (p12) fma.s1 poly1 = S_hi, r, f1
-	nop.i 999 ;;
+      nop.i 999 ;;
 }
 { .mfi
 (p12) ldfe Q1_1 = [table_ptr2], -16
 (p11) fma.s1 Poly2 = Poly2, rsq, P1_7
-	nop.i 999 ;;
+      nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
+      nop.m 999
 //
 //    N even: CORR =  rsq + 1
 //    N even: r_to_the_8 =  rsq * rsq
 //
 (p11) fmpy.s1 Poly1 = Poly1, rsq
-	nop.i 999 ;;
+      nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
+      nop.m 999
 (p12) fma.s1 S_hi = S_hi, poly1, S_hi
-	nop.i 999
+      nop.i 999
 }
 { .mfi
-	nop.m 999
+      nop.m 999
 (p12) fma.s1 poly2 = Q1_7, rsq, Q1_6
-	nop.i 999 ;;
+      nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
+      nop.m 999
 (p11) fma.s1 Poly2 = Poly2, rsq, P1_6
-	nop.i 999 ;;
+      nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
+      nop.m 999
 (p12) fma.s1 poly1 = S_hi, r, f1
-	nop.i 999
+      nop.i 999
 }
 { .mfi
-	nop.m 999
+      nop.m 999
 (p12) fma.s1 poly2 = poly2, rsq, Q1_5
-	nop.i 999 ;;
+      nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
+      nop.m 999
 (p11) fma.s1 Poly2= Poly2, rsq, P1_5
-	nop.i 999 ;;
+      nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
+      nop.m 999
 (p12) fma.s1 S_hi =  S_hi, poly1, S_hi
-	nop.i 999
+      nop.i 999
 }
 { .mfi
-	nop.m 999
+      nop.m 999
 (p12) fma.s1 poly2 = poly2, rsq, Q1_4
-	nop.i 999 ;;
+      nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
+      nop.m 999
 //
 //    N even: r_to_the_8 = r_to_the_8 * r_to_the_8
 //    N odd:  poly1  =  S_hi * r + 1.0       64 bits partial
 //
 (p11) fma.s1 Poly2 = Poly2, rsq, P1_4
-	nop.i 999 ;;
+      nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
+      nop.m 999
 //
-//    N even: Result = CORR + Poly * r
+//    N even: Poly = CORR + Poly * r
 //    N odd:  P = Q1_1 + poly2 * rsq
 //
 (p12) fma.s1 poly1 = S_hi, r, f1
-	nop.i 999
+      nop.i 999
 }
 { .mfi
-	nop.m 999
+      nop.m 999
 (p12) fma.s1 poly2 = poly2, rsq, Q1_3
-	nop.i 999 ;;
+      nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
+      nop.m 999
 //
 //    N even: Poly2 = P1_4 + Poly2 * rsq
 //    N odd:  poly2 = Q1_2 + poly2 * rsq
 //
 (p11) fma.s1 Poly = Poly2, r_to_the_8, Poly1
-	nop.i 999 ;;
+      nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
+      nop.m 999
 (p12) fma.s1 poly1 = S_hi, c, poly1
-	nop.i 999
+      nop.i 999
 }
 { .mfi
-	nop.m 999
+      nop.m 999
 (p12) fma.s1 poly2 = poly2, rsq, Q1_2
-	nop.i 999 ;;
+      nop.i 999 ;;
 }
 
 { .mfi
-	nop.m 999
+      nop.m 999
 //
 //    N even: Poly = Poly1 + Poly2 * r_to_the_8
 //    N odd:  S_hi =  S_hi * poly1 + S_hi    64 bits
 //
-(p11) fma.s1 Result = Poly, r, CORR
-	nop.i 999 ;;
+(p11) fma.s1 Poly = Poly, r, CORR
+      nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
+      nop.m 999
 //
-//    N even: Result =  r + Result  (User supplied rounding mode)
+//    N even: Result =  r + Poly  (User supplied rounding mode)
 //    N odd:  poly1  =  S_hi * c + poly1
 //
 (p12) fmpy.s1 S_lo = S_hi, poly1
-	nop.i 999
+(p11) tbit.z.unc p14, p15 = cot_flag, 0 // p14=1 for tanl; p15=1 for cotl
 }
 { .mfi
-	nop.m 999
+      nop.m 999
 (p12) fma.s1 P = poly2, rsq, Q1_1
-	nop.i 999 ;;
+      nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
+      nop.m 999
 //
 //    N odd:  poly1  =  S_hi * r + 1.0
 //
 //
 //    N odd:  S_lo  =  S_hi *  poly1
 //
-(p11) fadd.s0 Result = Result, r
-	nop.i 999 ;;
+(p14) fadd.s0 Result = Poly, r          // for tanl
+      nop.i 999
 }
 { .mfi
-	nop.m 999
+      nop.m 999
+(p15) fms.s0 Result = Poly, mOne, r     // for cotl
+      nop.i 999 ;;
+}
+
+{ .mfi
+      nop.m 999
 //
 //    N odd:  S_lo  =  Q1_1 * c + S_lo
 //
 (p12) fma.s1 S_lo = Q1_1, c, S_lo
-	nop.i 999
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-(p0)   fmpy.s0 fp_tmp = fp_tmp, fp_tmp  // Dummy mult to set inexact
-	nop.i 999 ;;
+      nop.m 999
+      fmpy.s0 fp_tmp = fp_tmp, fp_tmp  // Dummy mult to set inexact
+      nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
+      nop.m 999
 //
 //    N odd:  Result =  S_lo + r * P
 //
 (p12) fma.s1 Result = P, r, S_lo
-	nop.i 999 ;;
+(p12) tbit.z.unc p14, p15 = cot_flag, 0 ;; // p14=1 for tanl; p15=1 for cotl
 }
-{ .mfb
-	nop.m 999
+
 //
 //    N odd:  Result = Result + S_hi  (user supplied rounding mode)
 //
-(p12) fadd.s0 Result = Result, S_hi
-(p0)   br.ret.sptk b0 ;;
+{ .mfi
+      nop.m 999
+(p14) fadd.s0 Result = Result, S_hi         // for tanl
+      nop.i 999
+}
+{ .mfb
+      nop.m 999
+(p15) fms.s0 Result = Result, mOne, S_hi    // for cotl
+      br.ret.sptk b0 ;;              // Exit |r| < 1/4 path
 }
 
 
-L(TANL_NORMAL_R): 
-{ .mfi
-(p0)  getf.sig sig_r = r
+TANL_NORMAL_R:
+// Here if 1/4 <= |x| < pi/4  or  if |x| >= 2^63 and |r| >= 1/4
 // *******************************************************************
 // *******************************************************************
 // *******************************************************************
 //
 //    r and c have been computed.
-//    Make sure ftz mode is set - should be automatic when using wre
-//
 //
-//    Get [i_1] -  lsb of N_fix_gr alone.
-//
-(p0)  fmerge.s  Pos_r = f1, r
-(p0)  extr.u i_1 = N_fix_gr, 0, 1 ;;
-}
-{ .mfi
-	nop.m 999
-(p0)  fmerge.s  sgn_r =  r, f1
-(p0)  cmp.eq.unc p11, p12 = 0x0000, i_1 ;;
-}
-{ .mfi
-	nop.m 999
-	nop.f 999
-(p0)  extr.u lookup = sig_r, 58, 5
-}
-{ .mlx
-	nop.m 999
-(p0)  movl Create_B = 0x8200000000000000 ;;
-}
 { .mfi
-(p0)  addl           table_ptr1   = @ltoff(TANL_BASE_CONSTANTS), gp
-	nop.f 999
-(p0)  dep Create_B = lookup, Create_B, 58, 5
-}
-;;
-
-
-//
-//    Get [i_1] -  lsb of N_fix_gr alone.
-//    Pos_r = abs (r)
-//
-
-
-{ .mmi
-(p0)  ld8 table_ptr1 = [table_ptr1]
       nop.m 999
+      fand B = B_mask1, r
       nop.i 999
 }
 ;;
 
-
+TANL_NORMAL_R_A:
+// Enter here if pi/4 <= |x| < 2^63 and |r| >= 1/4
+//    Get the 5 bits or r for the lookup.   1.xxxxx ....
 { .mmi
-	nop.m 999
-(p0)  setf.sig B = Create_B
-//
-//    Set table_ptr1 and table_ptr2 to base address of
-//    constant table.
-//
-(p0)  add table_ptr1 = 480, table_ptr1 ;;
-}
-{ .mmb
-	nop.m 999
-//
-//    Is i_1 or i_0  == 0 ?
-//    Create the constant  1 00000 1000000000000000000000...
-//
-(p0)  ldfe P2_1 = [table_ptr1], 16
-	nop.b 999
+      add table_ptr1 = 416, table_base     // Point to tanl_table_p2
+      mov GR_exp_2tom65 = 0xffff - 65      // Scaling constant for B
+      extr.u lookup = sig_r, 58, 5
 }
+;;
+
 { .mmi
-	nop.m 999 ;;
-(p0)  getf.exp exp_r = Pos_r
-	nop.i 999
+      ldfe P2_1 = [table_ptr1], 16
+      setf.exp TWO_TO_NEG65 = GR_exp_2tom65  // 2^-65 for scaling B if exp_r=-2
+      add N_fix_gr = N_fix_gr, cot_flag      // N = N + 1 (for cotl)
 }
-//
-//    Get r's exponent
-//    Get r's significand
-//
-{ .mmi
-(p0)  ldfe P2_2 = [table_ptr1], 16 ;;
-//
-//    Get the 5 bits or r for the lookup.   1.xxxxx ....
-//    from sig_r.
-//    Grab  lsb of exp of B
-//
-(p0)  ldfe P2_3 = [table_ptr1], 16
-	nop.i 999 ;;
+;;
+
+.pred.rel "mutex",p11,p12
+//    B =  2^63 * 1.xxxxx 100...0
+{ .mfi
+      ldfe P2_2 = [table_ptr1], 16
+      for B = B_mask2, B
+      mov table_offset = 512               // Assume table offset is 512
 }
-{ .mii
-	nop.m 999
-(p0)  andcm table_offset = 0x0001, exp_r ;;
-(p0)  shl table_offset = table_offset, 9 ;;
+;;
+
+{ .mfi
+      ldfe P2_3 = [table_ptr1], 16
+      fmerge.s  Pos_r = f1, r
+      tbit.nz p8,p9 = exp_r, 0
 }
-{ .mii
-	nop.m 999
-//
-//    Deposit   0 00000 1000000000000000000000... on
-//              1 xxxxx yyyyyyyyyyyyyyyyyyyyyy...,
-//    getting rid of the ys.
+;;
+
 //    Is  B = 2** -2 or  B= 2** -1? If 2**-1, then
 //    we want an offset of 512 for table addressing.
-//
-(p0)  shladd table_offset = lookup, 4, table_offset ;;
-//
-//    B =  ........ 1xxxxx 1000000000000000000...
-//
-(p0)  add table_ptr1 = table_ptr1, table_offset ;;
-}
-{ .mmb
-	nop.m 999
-//
-//   B =  ........ 1xxxxx 1000000000000000000...
-//   Convert B so it has the same exponent as Pos_r
-//
-(p0)  ldfd T_hi = [table_ptr1], 8
-	nop.b 999 ;;
+{ .mii
+      add table_ptr2 = 1296, table_base     // Point to tanl_table_cm2
+(p9)  shladd table_offset = lookup, 4, table_offset
+(p8)  shladd table_offset = lookup, 4, r0
 }
+;;
 
+{ .mmi
+      add table_ptr1 = table_ptr1, table_offset  // Point to T_hi
+      add table_ptr2 = table_ptr2, table_offset  // Point to C_hi
+      add table_ptr3 = 2128, table_base     // Point to tanl_table_scim2
+}
+;;
 
+{ .mmi
+      ldfd T_hi = [table_ptr1], 8                // Load T_hi
+;;
+      ldfd C_hi = [table_ptr2], 8                // Load C_hi
+      add table_ptr3 = table_ptr3, table_offset  // Point to SC_inv
+}
+;;
 
 //
 //    x = |r| - B
-//    Load T_hi.
-//    Load C_hi.
 //
-
-{ .mmf
-(p0)  addl           table_ptr2   = @ltoff(TANL_BASE_CONSTANTS), gp
-(p0)  ldfs T_lo = [table_ptr1]
-(p0)  fmerge.se B = Pos_r, B
+//   Convert B so it has the same exponent as Pos_r before subtracting
+{ .mfi
+      ldfs T_lo = [table_ptr1]                   // Load T_lo
+(p9)  fnma.s1 x = B, FR_2tom64, Pos_r
+      nop.i 999
 }
-;;
-
-
-{ .mmi
-(p0)  ld8 table_ptr2 = [table_ptr2]
+{ .mfi
       nop.m 999
+(p8)  fnma.s1 x = B, TWO_TO_NEG65, Pos_r
       nop.i 999
 }
 ;;
 
-
-{ .mii
-(p0)  add table_ptr2 = 1360, table_ptr2
-	nop.i 999 ;;
-(p0)  add table_ptr2 = table_ptr2, table_offset ;;
+{ .mfi
+      ldfs C_lo = [table_ptr2]                   // Load C_lo
+      nop.f 999
+      nop.i 999
 }
+;;
+
 { .mfi
-(p0)  ldfd C_hi = [table_ptr2], 8
-(p0)  fsub.s1 x = Pos_r, B
-	nop.i 999 ;;
+      ldfe SC_inv = [table_ptr3]                 // Load SC_inv
+      fmerge.s  sgn_r = r, f1
+      tbit.z p11, p12 = N_fix_gr, 0              // p11 if N even, p12 if odd
+
 }
-{ .mii
-(p0)  ldfs C_lo = [table_ptr2],255
-	nop.i 999 ;;
+;;
+
 //
 //    xsq = x * x
 //    N even: Tx = T_hi * x
-//    Load T_lo.
-//    Load C_lo - increment pointer to get SC_inv 
-//    - cant get all the way, do an add later.
-//
-(p0)  add table_ptr2 = 569, table_ptr2 ;;
-}
 //
 //    N even: Tx1 = Tx + 1
 //    N odd:  Cx1 = 1 - Cx
 //
+
 { .mfi
-(p0)  ldfe SC_inv = [table_ptr2], 0
-	nop.f 999
-	nop.i 999 ;;
-}
-{ .mfi
-	nop.m 999
-(p0)  fmpy.s1 xsq = x, x
-	nop.i 999
+      nop.m 999
+      fmpy.s1 xsq = x, x
+      nop.i 999
 }
 { .mfi
-	nop.m 999
+      nop.m 999
 (p11) fmpy.s1 Tx = T_hi, x
-	nop.i 999 ;;
-}
-{ .mfi
-	nop.m 999
-(p12) fmpy.s1 Cx = C_hi, x
-	nop.i 999 ;;
+      nop.i 999
 }
-{ .mfi
-	nop.m 999
+;;
+
 //
 //    N odd: Cx = C_hi * x
 //
-(p0)  fma.s1 P = P2_3, xsq, P2_2
-	nop.i 999
-}
 { .mfi
-	nop.m 999
+      nop.m 999
+(p12) fmpy.s1 Cx = C_hi, x
+      nop.i 999
+}
+;;
 //
 //    N even and odd: P = P2_3 + P2_2 * xsq
 //
+{ .mfi
+      nop.m 999
+      fma.s1 P = P2_3, xsq, P2_2
+      nop.i 999
+}
+{ .mfi
+      nop.m 999
 (p11) fadd.s1 Tx1 = Tx, f1
-	nop.i 999 ;;
+      nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
+      nop.m 999
 //
 //    N even: D = C_hi - tanx
 //    N odd: D = T_hi + tanx
 //
 (p11) fmpy.s1 CORR = SC_inv, T_hi
-	nop.i 999
+      nop.i 999
 }
 { .mfi
-	nop.m 999
-(p0)  fmpy.s1 Sx = SC_inv, x
-	nop.i 999 ;;
+      nop.m 999
+      fmpy.s1 Sx = SC_inv, x
+      nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
+      nop.m 999
 (p12) fmpy.s1 CORR = SC_inv, C_hi
-	nop.i 999 ;;
+      nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
+      nop.m 999
 (p12) fsub.s1 V_hi = f1, Cx
-	nop.i 999 ;;
+      nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
-(p0)  fma.s1 P = P, xsq, P2_1
-	nop.i 999
+      nop.m 999
+      fma.s1 P = P, xsq, P2_1
+      nop.i 999
 }
 { .mfi
-	nop.m 999
+      nop.m 999
 //
 //    N even and odd: P = P2_1 + P * xsq
 //
 (p11) fma.s1 V_hi = Tx, Tx1, f1
-	nop.i 999 ;;
+      nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
+      nop.m 999
 //
 //    N even: Result  = sgn_r * tail + T_hi (user rounding mode for C1)
 //    N odd:  Result  = sgn_r * tail + C_hi (user rounding mode for C1)
 //
-(p0)   fmpy.s0 fp_tmp = fp_tmp, fp_tmp  // Dummy mult to set inexact
-	nop.i 999 ;;
+      fmpy.s0 fp_tmp = fp_tmp, fp_tmp  // Dummy mult to set inexact
+      nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
-(p0)  fmpy.s1 CORR = CORR, c
-	nop.i 999 ;;
+      nop.m 999
+      fmpy.s1 CORR = CORR, c
+      nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
+      nop.m 999
 (p12) fnma.s1 V_hi = Cx,V_hi,f1
-	nop.i 999 ;;
+      nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
+      nop.m 999
 //
 //    N even: V_hi = Tx * Tx1 + 1
 //    N odd: Cx1 = 1 - Cx * Cx1
 //
-(p0)  fmpy.s1 P = P, xsq
-	nop.i 999
+      fmpy.s1 P = P, xsq
+      nop.i 999
 }
 { .mfi
-	nop.m 999
+      nop.m 999
 //
 //    N even and odd: P = P * xsq
 //
 (p11) fmpy.s1 V_hi = V_hi, T_hi
-	nop.i 999 ;;
+      nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
+      nop.m 999
 //
 //    N even and odd: tail = P * tail + V_lo
 //
 (p11) fmpy.s1 T_hi = sgn_r, T_hi
-	nop.i 999 ;;
+      nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
-(p0)  fmpy.s1 CORR = CORR, sgn_r
-	nop.i 999 ;;
+      nop.m 999
+      fmpy.s1 CORR = CORR, sgn_r
+      nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
+      nop.m 999
 (p12) fmpy.s1 V_hi = V_hi,C_hi
-	nop.i 999 ;;
+      nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
+      nop.m 999
 //
 //    N even: V_hi = T_hi * V_hi
 //    N odd: V_hi  = C_hi * V_hi
 //
-(p0)  fma.s1 tanx = P, x, x
-	nop.i 999
+      fma.s1 tanx = P, x, x
+      nop.i 999
 }
 { .mfi
-	nop.m 999
+      nop.m 999
 (p12) fnmpy.s1 C_hi = sgn_r, C_hi
-	nop.i 999 ;;
+      nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
+      nop.m 999
 //
 //    N even: V_lo = 1 - V_hi + C_hi
 //    N odd: V_lo = 1 - V_hi + T_hi
 //
 (p11) fadd.s1 CORR = CORR, T_lo
-	nop.i 999
+      nop.i 999
 }
 { .mfi
-	nop.m 999
+      nop.m 999
 (p12) fsub.s1 CORR = CORR, C_lo
-	nop.i 999 ;;
+      nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
+      nop.m 999
 //
 //    N even and odd: tanx = x + x * P
 //    N even and odd: Sx = SC_inv * x
 //
 (p11) fsub.s1 D = C_hi, tanx
-	nop.i 999
+      nop.i 999
 }
 { .mfi
-	nop.m 999
+      nop.m 999
 (p12) fadd.s1 D = T_hi, tanx
-	nop.i 999 ;;
+      nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
+      nop.m 999
 //
 //    N odd: CORR = SC_inv * C_hi
 //    N even: CORR = SC_inv * T_hi
 //
-(p0)  fnma.s1 D = V_hi, D, f1
-	nop.i 999 ;;
+      fnma.s1 D = V_hi, D, f1
+      nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
+      nop.m 999
 //
 //    N even and odd: D = 1 - V_hi * D
 //    N even and odd: CORR = CORR * c
 //
-(p0)  fma.s1 V_hi = V_hi, D, V_hi
-	nop.i 999 ;;
+      fma.s1 V_hi = V_hi, D, V_hi
+      nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
+      nop.m 999
 //
 //    N even and odd: V_hi = V_hi + V_hi * D
 //    N even and odd: CORR = sgn_r * CORR
 //
 (p11) fnma.s1 V_lo = V_hi, C_hi, f1
-	nop.i 999
+      nop.i 999
 }
 { .mfi
-	nop.m 999
+      nop.m 999
 (p12) fnma.s1 V_lo = V_hi, T_hi, f1
-	nop.i 999 ;;
+      nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
+      nop.m 999
 //
 //    N even: CORR = COOR + T_lo
 //    N odd: CORR = CORR - C_lo
 //
 (p11) fma.s1 V_lo = tanx, V_hi, V_lo
-	nop.i 999
+      tbit.nz p15, p0 = cot_flag, 0       // p15=1 if we compute cotl
 }
 { .mfi
-	nop.m 999
+      nop.m 999
 (p12) fnma.s1 V_lo = tanx, V_hi, V_lo
-	nop.i 999 ;;
+      nop.i 999 ;;
 }
+
 { .mfi
-	nop.m 999
+      nop.m 999
+(p15) fms.s1 T_hi = f0, f0, T_hi        // to correct result's sign for cotl
+      nop.i 999
+}
+{ .mfi
+      nop.m 999
+(p15) fms.s1 C_hi = f0, f0, C_hi        // to correct result's sign for cotl
+      nop.i 999
+};;
+
+{ .mfi
+      nop.m 999
+(p15) fms.s1 sgn_r = f0, f0, sgn_r      // to correct result's sign for cotl
+      nop.i 999
+};;
+
+{ .mfi
+      nop.m 999
 //
 //    N even: V_lo = V_lo + V_hi * tanx
 //    N odd: V_lo = V_lo - V_hi * tanx
 //
 (p11) fnma.s1 V_lo = C_lo, V_hi, V_lo
-	nop.i 999
+      nop.i 999
 }
 { .mfi
-	nop.m 999
+      nop.m 999
 (p12) fnma.s1 V_lo = T_lo, V_hi, V_lo
-	nop.i 999 ;;
+      nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
+      nop.m 999
 //
 //    N  even: V_lo = V_lo - V_hi * C_lo
 //    N  odd: V_lo = V_lo - V_hi * T_lo
 //
-(p0)  fmpy.s1 V_lo = V_hi, V_lo
-	nop.i 999 ;;
+      fmpy.s1 V_lo = V_hi, V_lo
+      nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
+      nop.m 999
 //
 //    N even and odd: V_lo = V_lo * V_hi
 //
-(p0)  fadd.s1 tail = V_hi, V_lo
-	nop.i 999 ;;
+      fadd.s1 tail = V_hi, V_lo
+      nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
+      nop.m 999
 //
 //    N even and odd: tail = V_hi + V_lo
 //
-(p0)  fma.s1 tail = tail, P, V_lo
-	nop.i 999 ;;
+      fma.s1 tail = tail, P, V_lo
+      nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
+      nop.m 999
 //
 //    N even: T_hi = sgn_r * T_hi
 //    N odd : C_hi = -sgn_r * C_hi
 //
-(p0)  fma.s1 tail = tail, Sx, CORR
-	nop.i 999 ;;
+      fma.s1 tail = tail, Sx, CORR
+      nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
+      nop.m 999
 //
 //    N even and odd: tail = Sx * tail + CORR
 //
-(p0)  fma.s1 tail = V_hi, Sx, tail
-	nop.i 999 ;;
+      fma.s1 tail = V_hi, Sx, tail
+      nop.i 999 ;;
 }
 { .mfi
-	nop.m 999
+      nop.m 999
 //
 //    N even an odd: tail = Sx * V_hi + tail
 //
 (p11) fma.s0 Result = sgn_r, tail, T_hi
-	nop.i 999
+      nop.i 999
 }
 { .mfb
-	nop.m 999
+      nop.m 999
 (p12) fma.s0 Result = sgn_r, tail, C_hi
-(p0)   br.ret.sptk b0 ;;
+      br.ret.sptk b0 ;;                 // Exit for 1/4 <= |r| < pi/4
 }
 
-L(TANL_SPECIAL):
+TANL_DENORMAL:
+// Here if x denormal
 { .mfb
-        nop.m 999
-(p0)   fmpy.s0 Arg = Arg, f0
-(p0)   br.ret.sptk b0 ;;
+      getf.exp GR_signexp_x = Norm_Arg          // Get sign and exponent of x
+      nop.f 999
+      br.cond.sptk TANL_COMMON                  // Return to common code
 }
+;;
+
+
+TANL_SPECIAL:
+TANL_UNSUPPORTED:
 //
 //     Code for NaNs, Unsupporteds, Infs, or +/- zero ?
 //     Invalid raised for Infs and SNaNs.
 //
 
-.endp  tanl
-ASM_SIZE_DIRECTIVE(tanl)
+{ .mfi
+      nop.m 999
+      fmerge.s  f10 = f8, f8            // Save input for error call
+      tbit.nz p6, p7 = cot_flag, 0      // p6=1 if we compute cotl
+}
+;;
 
-// *******************************************************************
-// *******************************************************************
-// *******************************************************************
-//
-//     Special Code to handle very large argument case.
-//     Call int pi_by_2_reduce(&x,&r,&c)
-//     for |arguments| >= 2**63
-//     (Arg or x) is in f8
-//     Address to save r and c as double
-// *******************************************************************
-// *******************************************************************
-// *******************************************************************
+{ .mfi
+      nop.m 999
+(p6)  fclass.m p6, p7 = f8, 0x7         // Test for zero (cotl only)
+      nop.i 999
+}
+;;
+
+.pred.rel "mutex", p6, p7
+{ .mfi
+(p6)  mov GR_Parameter_Tag = 225        // (cotl)
+(p6)  frcpa.s0  f8, p0 = f1, f8         // cotl(+-0) = +-Inf
+      nop.i 999
+}
+{ .mfb
+      nop.m 999
+(p7)  fmpy.s0 f8 = f8, f0
+(p7)  br.ret.sptk b0
+}
+;;
+
+GLOBAL_IEEE754_END(tanl)
 
-.proc __libm_callout
-__libm_callout:
-L(TANL_ARG_TOO_LARGE): 
+LOCAL_LIBM_ENTRY(__libm_error_region)
 .prologue
+
+// (1)
 { .mfi
-        add   r50=-32,sp                        // Parameter: r address
-        nop.f 0
+      add           GR_Parameter_Y=-32,sp        // Parameter 2 value
+      nop.f         0
 .save   ar.pfs,GR_SAVE_PFS
-        mov  GR_SAVE_PFS=ar.pfs                 // Save ar.pfs
+      mov           GR_SAVE_PFS=ar.pfs           // Save ar.pfs
 }
 { .mfi
 .fframe 64
-        add sp=-64,sp                           // Create new stack
-        nop.f 0
-        mov GR_SAVE_GP=gp                       // Save gp
+      add sp=-64,sp                              // Create new stack
+      nop.f 0
+      mov GR_SAVE_GP=gp                          // Save gp
 };;
+
+// (2)
 { .mmi
-        stfe [r50] = f0,16                      // Clear Parameter r on stack
-        add  r49 = 16,sp                        // Parameter x address
+      stfe [GR_Parameter_Y] = f1,16              // STORE Parameter 2 on stack
+      add GR_Parameter_X = 16,sp                 // Parameter 1 address
 .save   b0, GR_SAVE_B0
-        mov GR_SAVE_B0=b0                       // Save b0
+      mov GR_SAVE_B0=b0                          // Save b0
 };;
+
 .body
+// (3)
 { .mib
-        stfe [r50] = f0,-16                     // Clear Parameter c on stack
-        nop.i 0
-        nop.b 0
+      stfe [GR_Parameter_X] = f10                // STORE Parameter 1 on stack
+      add   GR_Parameter_RESULT = 0,GR_Parameter_Y  // Parameter 3 address
+      nop.b 0
 }
 { .mib
-        stfe [r49] = Arg                        // Store Parameter x on stack
-        nop.i 0
-(p0)    br.call.sptk b0=__libm_pi_by_2_reduce# ;;
+      stfe [GR_Parameter_Y] = f8                 // STORE Parameter 3 on stack
+      add   GR_Parameter_Y = -16,GR_Parameter_Y
+      br.call.sptk b0=__libm_error_support#      // Call error handling function
+};;
+{ .mmi
+      nop.m 0
+      nop.m 0
+      add   GR_Parameter_RESULT = 48,sp
+};;
+
+// (4)
+{ .mmi
+      ldfe  f8 = [GR_Parameter_RESULT]           // Get return result off stack
+.restore sp
+      add   sp = 64,sp                           // Restore stack pointer
+      mov   b0 = GR_SAVE_B0                      // Restore return address
 };;
+{ .mib
+      mov   gp = GR_SAVE_GP                      // Restore gp
+      mov   ar.pfs = GR_SAVE_PFS                 // Restore ar.pfs
+      br.ret.sptk     b0                         // Return
+};;
+
+LOCAL_LIBM_END(__libm_error_region)
+
+.type   __libm_error_support#,@function
+.global __libm_error_support#
+
+
+// *******************************************************************
+// *******************************************************************
+// *******************************************************************
 //
-//     Load 2^-2
+//     Special Code to handle very large argument case.
+//     Call int __libm_pi_by_2_reduce(x,r,c) for |arguments| >= 2**63
+//     The interface is custom:
+//       On input:
+//         (Arg or x) is in f8
+//       On output:
+//         r is in f8
+//         c is in f9
+//         N is in r8
+//     We know also that __libm_pi_by_2_reduce preserves f10-15, f71-127.  We
+//     use this to eliminate save/restore of key fp registers in this calling
+//     function.
 //
+// *******************************************************************
+// *******************************************************************
+// *******************************************************************
+
+LOCAL_LIBM_ENTRY(__libm_callout)
+TANL_ARG_TOO_LARGE:
+.prologue
+{ .mfi
+      add table_ptr2 = 144, table_base        // Point to 2^-2
+      nop.f 999
+.save   ar.pfs,GR_SAVE_PFS
+      mov  GR_SAVE_PFS=ar.pfs                 // Save ar.pfs
+}
+;;
+
+//     Load 2^-2, -2^-2
 { .mmi
-(p0)   ldfe  Arg =[r49],16   
+      ldfps  TWO_TO_NEG2, NEGTWO_TO_NEG2 = [table_ptr2]
+      setf.sig B_mask1 = bmask1               // Form mask to get 5 msb of r
+.save   b0, GR_SAVE_B0
+      mov GR_SAVE_B0=b0                       // Save b0
+};;
+
+.body
 //
-//     Call argument reduction
+//     Call argument reduction with x in f8
+//     Returns with N in r8, r in f8, c in f9
+//     Assumes f71-127 are preserved across the call
 //
-(p0)   ldfs  TWO_TO_NEG2 = [table_ptr2],4
-//     Get Arg off stack
-//     Get r off stack - hi order part
-//     Get c off stack - lo order part
-(p0)   mov   N_fix_gr = r8 ;;
-}
-{ .mmb
-(p0)   ldfe  r =[r50],16  
-(p0)   ldfs  NEGTWO_TO_NEG2 = [table_ptr2],4
-	nop.b 999 ;;
+{ .mib
+      setf.sig B_mask2 = bmask2               // Form mask to form B from r
+      mov GR_SAVE_GP=gp                       // Save gp
+      br.call.sptk b0=__libm_pi_by_2_reduce#
 }
+;;
+
+//
+//     Is |r| < 2**(-2)
+//
 { .mfi
-(p0)   ldfe  c =[r50],-32  
-	nop.f 999
-	nop.i 999 ;;
+      getf.sig sig_r = r                     // Extract significand of r
+      fcmp.lt.s1  p6, p0 = r, TWO_TO_NEG2
+      mov   gp = GR_SAVE_GP                  // Restore gp
 }
+;;
+
 { .mfi
-.restore sp
-       add   sp = 64,sp                       // Restore stack pointer
+      getf.exp exp_r = r                     // Extract signexp of r
+      nop.f 999
+      mov    b0 = GR_SAVE_B0                 // Restore return address
+}
+;;
+
 //
-//     Is |r| < 2**(-2)
+//     Get N_fix_gr
 //
-(p0)   fcmp.lt.unc.s1  p6, p0 = r, TWO_TO_NEG2 
-mov    b0 = GR_SAVE_B0                        // Restore return address
-};;
 { .mfi
-       mov   gp = GR_SAVE_GP                  // Restore gp
-(p6)   fcmp.gt.unc.s1  p6, p0 = r, NEGTWO_TO_NEG2 
-       mov   ar.pfs = GR_SAVE_PFS             // Restore gp
-};;
+      mov   N_fix_gr = r8
+(p6)  fcmp.gt.unc.s1  p6, p0 = r, NEGTWO_TO_NEG2
+      mov   ar.pfs = GR_SAVE_PFS             // Restore pfs
+}
+;;
+
 { .mbb
-	nop.m 999
-(p6)   br.cond.spnt L(TANL_SMALL_R)
-(p0)   br.cond.sptk L(TANL_NORMAL_R) ;;
+      nop.m 999
+(p6)  br.cond.spnt TANL_SMALL_R              // Branch if |r| < 1/4
+      br.cond.sptk TANL_NORMAL_R             // Branch if 1/4 <= |r| < pi/4
 }
+;;
 
-.endp __libm_callout
-ASM_SIZE_DIRECTIVE(__libm_callout)
+LOCAL_LIBM_END(__libm_callout)
 
 .type __libm_pi_by_2_reduce#,@function
 .global __libm_pi_by_2_reduce#
diff --git a/sysdeps/ia64/fpu/s_trunc.S b/sysdeps/ia64/fpu/s_trunc.S
index 0be91200e3..b9ad03b5a8 100644
--- a/sysdeps/ia64/fpu/s_trunc.S
+++ b/sysdeps/ia64/fpu/s_trunc.S
@@ -1,11 +1,10 @@
 .file "trunc.s"
 
-// Copyright (C) 2000, 2001, Intel Corporation
+
+// Copyright (c) 2000 - 2003, Intel Corporation
 // All rights reserved.
-// 
-// Contributed 7/7/2000 by John Harrison, Cristina Iordache, Ted Kubaska,
-// Bob Norin, Shane Story, and Ping Tak Peter Tang of the
-// Computational Software Lab, Intel Corporation.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
 //
 // Redistribution and use in source and binary forms, with or without
 // modification, are permitted provided that the following conditions are
@@ -21,33 +20,28 @@
 // * The name of Intel Corporation may not be used to endorse or promote
 // products derived from this software without specific prior written
 // permission.
-//
-// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
-// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
-// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS 
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
 // CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
-// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, 
-// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 
-// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY 
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
 // OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
-// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 
-// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 
-// 
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+//
 // Intel Corporation is the author of this code, and requests that all
-// problem reports or change requests be submitted to it directly at 
-// http://developer.intel.com/opensource.
+// problem reports or change requests be submitted to it directly at
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
 //
-.align 32
-.global trunc#
-
-.section .text
-.proc  trunc#
-.align 32
-
 // History
 //==============================================================
-// 7/7/00: Created 
+// 07/07/00 Created
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 01/20/03 Improved performance and reduced code size
 //==============================================================
 
 // API
@@ -55,25 +49,28 @@
 // double trunc(double x)
 //==============================================================
 
-#include "libm_support.h"
+// general input registers:
+// r14 - r18
 
-// general input registers:  
-TRUNC_GR_FFFF      = r14
-TRUNC_GR_signexp   = r15
-TRUNC_GR_exponent  = r16
-TRUNC_GR_expmask   = r17
-TRUNC_GR_bigexp    = r18
+rExpBias   = r14
+rSignexp   = r15
+rExp       = r16
+rExpMask   = r17
+rBigexp    = r18
 
 // floating-point registers:
-// f8, f9, f11, f12
+// f8 - f10
+
+fXtruncInt = f9
+fNormX     = f10
 
-// predicate registers used: 
-// p6, p7, p8, p9, p10, p11
+// predicate registers used:
+// p6, p7
 
 // Overview of operation
 //==============================================================
 // double trunc(double x)
-// Return an integer value (represented as a double) less than or 
+// Return an integer value (represented as a double) less than or
 // equal to x in magnitude.
 // This is x rounded toward zero to an integral value.
 //==============================================================
@@ -97,105 +94,73 @@ TRUNC_GR_bigexp    = r18
 // If we multiply by 2^23, we no longer have a fractional part
 // So input is an integer value already.
 
-trunc:
+.section .text
+GLOBAL_LIBM_ENTRY(trunc)
 
 { .mfi
-      getf.exp         TRUNC_GR_signexp  = f8
-      fcvt.fx.trunc.s1 f9  = f8
-      addl             TRUNC_GR_bigexp = 0x10033, r0
+      getf.exp         rSignexp  = f8        // Get signexp, recompute if unorm
+      fcvt.fx.trunc.s1 fXtruncInt  = f8      // Convert to int in significand
+      addl             rBigexp = 0x10033, r0 // Set exponent at which is integer
 }
 { .mfi
-      mov              TRUNC_GR_FFFF    = 0x0FFFF
-      fnorm.d          f11  = f8
-      mov              TRUNC_GR_expmask    = 0x1FFFF 
-};;
-//    get the exponent of x
-//    convert x to integer in signficand of f9 
-//    Normalize x - this will raise invalid on SNaNs, the
-//    denormal operand flag - and possibly a spurious U flag
-//    get exponent only mask (will exclude sign bit)
+      mov              rExpBias    = 0x0FFFF // Form exponent bias
+      fnorm.s1         fNormX  = f8          // Normalize input
+      mov              rExpMask    = 0x1FFFF // Form exponent mask
+}
+;;
 
 { .mfi
       nop.m            0
-      fclass.m         p7,p8 = f8, 0x0b  
+      fclass.m         p7,p0 = f8, 0x0b      // Test x unorm
       nop.i            0
 }
-{ .mfi
-      nop.m            0
-      fcmp.eq.unc.s1   p9,p0 = f8,f0
-      nop.i      0       
-};;
-//    fclass to set p7 if unnorm 
-{ .mmi
-      and              TRUNC_GR_exponent = TRUNC_GR_signexp, TRUNC_GR_expmask ;;
-(p8)  cmp.ge.unc       p10,p11 = TRUNC_GR_exponent, TRUNC_GR_bigexp
-(p8)  cmp.ne.unc       p6,p0 = TRUNC_GR_exponent, TRUNC_GR_signexp
-};;
-//    Get the exponent of x
-//    Test if exponent such that result already an integer
-//    Test if x < 0
-{ .mmi
-(p9)  cmp.eq.andcm     p10,p11 = r0, r0 
-(p6)  cmp.lt.unc       p6,p0 = TRUNC_GR_exponent, TRUNC_GR_FFFF
-      nop.i 0 
-};;
-//    If -1 < x < 0, set p6, turn off p10 and p11, and set result to -0.0
-{ .mfb
-(p6)  cmp.eq.andcm     p10,p11 = r0, r0 
-(p6)  fmerge.s         f8 = f8, f0
-      nop.b 0
-};;
-//    If not a unnorm, set p10 if x already is a big int, nan, or inf?
-//    If not a unnorm, set p10 if x already is a big int, nan, or inf?
-.pred.rel "mutex",p10,p11    
+;;
+
 { .mfb
       nop.m            0
-(p11) fcvt.xf          f8   = f9 
-      nop.b            0 
+      fclass.m         p6,p0 = f8, 0x1e3     // Test x natval, nan, inf
+(p7)  br.cond.spnt     TRUNC_UNORM           // Branch if x unorm
 }
+;;
+
+TRUNC_COMMON:
+// Return here from TRUNC_UNORM
 { .mfb
+      and              rExp = rSignexp, rExpMask // Get biased exponent
+(p6)  fma.d.s0         f8 = f8, f1, f0       // Result if x natval, nan, inf
+(p6)  br.ret.spnt      b0                    // Exit if x natval, nan, inf
+}
+;;
+
+{ .mfi
+      cmp.lt           p6,p0 = rExp, rExpBias // Is |x| < 1?
+      fcvt.xf          f8 = fXtruncInt        // Result, assume 1 <= |x| < 2^52
+      cmp.ge           p7,p0 = rExp, rBigexp  // Is |x| >= 2^52?
+}
+;;
+
+// We must correct result if |x| < 1, or |x| >= 2^52
+.pred.rel "mutex",p6,p7
+{ .mfi
       nop.m            0
-(p10) fma.d.s1         f8   = f11,f1,f0 
-(p8)  br.ret.sptk      b0 
-};;
-//    If not a unnorm and not an big int, nan,or +/-inf convert signficand
-//    back to f8.
-//    If not a unorm  and a big int, nan, or +/-inf, return fnorm'd x 
-//    If not a unorm, Return
-//    If unnorm, get the exponent again - perhaps it wasn't a denorm. 
-{ .mfb
-(p7)  getf.exp         TRUNC_GR_signexp  = f11
-(p7)  fcvt.fx.trunc.s1 f12   = f11 
-      nop.b 0
-};;
-{ .mfb
-      and              TRUNC_GR_exponent = TRUNC_GR_signexp, TRUNC_GR_expmask
-      fcmp.lt.unc.s1   p9,p0 = f8,f0
-      nop.b            0
-};;
-{ .mfb
-      cmp.ge.unc       p10,p11 = TRUNC_GR_exponent, TRUNC_GR_bigexp
-      nop.f            0
-      nop.b            0
-};;
-// If a unnorm, check to see if value is already a big int. 
+(p6)  fmerge.s         f8 = fNormX, f0        // If |x| < 1, result sgn(x)*0
+      nop.i            0
+}
 { .mfb
-      nop.m 0
-(p11) fcvt.xf          f8   = f12 
-      nop.b 0
+      nop.m            0
+(p7)  fma.d.s0         f8 = fNormX, f1, f0    // If |x| >= 2^52, result x
+      br.ret.sptk      b0                     // Exit main path
 }
-{ .mfi
-      nop.m 0
-(p10) fma.d.s1         f8   = f11,f1,f0 
-      nop.i 0
-};;
+;;
+
+
+TRUNC_UNORM:
+// Here if x unorm
 { .mfb
-      nop.m 0
-(p9)  fmerge.ns        f8   = f1,f8 
-      br.ret.sptk      b0 
-};;
-// If so return it. Otherwise, return (fcvt.xf(fcvt.fx.trunc(x)))
-// Make sure the result is negative if it should be - that is
-// negative(denormal) -> -0.
-.endp trunc
-ASM_SIZE_DIRECTIVE(trunc)
+      getf.exp         rSignexp  = fNormX     // Get signexp, recompute if unorm
+      fcmp.eq.s0       p7,p0 = f8, f0         // Dummy op to set denormal flag
+      br.cond.sptk     TRUNC_COMMON           // Return to main path
+}
+;;
+
+GLOBAL_LIBM_END(trunc)
diff --git a/sysdeps/ia64/fpu/s_truncf.S b/sysdeps/ia64/fpu/s_truncf.S
index 0ac4181209..ff40bc7101 100644
--- a/sysdeps/ia64/fpu/s_truncf.S
+++ b/sysdeps/ia64/fpu/s_truncf.S
@@ -1,11 +1,10 @@
 .file "truncf.s"
 
-// Copyright (C) 2000, 2001, Intel Corporation
+
+// Copyright (c) 2000 - 2003, Intel Corporation
 // All rights reserved.
-// 
-// Contributed 7/7/2000 by John Harrison, Cristina Iordache, Ted Kubaska,
-// Bob Norin, Shane Story, and Ping Tak Peter Tang of the
-// Computational Software Lab, Intel Corporation.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
 //
 // Redistribution and use in source and binary forms, with or without
 // modification, are permitted provided that the following conditions are
@@ -21,33 +20,28 @@
 // * The name of Intel Corporation may not be used to endorse or promote
 // products derived from this software without specific prior written
 // permission.
-//
-// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
-// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
-// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS 
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
 // CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
-// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, 
-// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 
-// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY 
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
 // OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
-// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 
-// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 
-// 
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+//
 // Intel Corporation is the author of this code, and requests that all
-// problem reports or change requests be submitted to it directly at 
-// http://developer.intel.com/opensource.
+// problem reports or change requests be submitted to it directly at
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
 //
-.align 32
-.global truncf#
-
-.section .text
-.proc  truncf#
-.align 32
-
 // History
 //==============================================================
-// 7/7/00: Created 
+// 07/07/00 Created
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 01/20/03 Improved performance and reduced code size
 //==============================================================
 
 // API
@@ -55,25 +49,28 @@
 // float truncf(float x)
 //==============================================================
 
-#include "libm_support.h"
+// general input registers:
+// r14 - r18
 
-// general input registers:  
-TRUNC_GR_FFFF      = r14
-TRUNC_GR_signexp   = r15
-TRUNC_GR_exponent  = r16
-TRUNC_GR_expmask   = r17
-TRUNC_GR_bigexp    = r18
+rExpBias   = r14
+rSignexp   = r15
+rExp       = r16
+rExpMask   = r17
+rBigexp    = r18
 
 // floating-point registers:
-// f8, f9, f11, f12
+// f8 - f10
+
+fXtruncInt = f9
+fNormX     = f10
 
-// predicate registers used: 
-// p6, p7, p8, p9, p10, p11
+// predicate registers used:
+// p6, p7
 
 // Overview of operation
 //==============================================================
 // float truncf(float x)
-// Return an integer value (represented as a float) less than or 
+// Return an integer value (represented as a float) less than or
 // equal to x in magnitude.
 // This is x rounded toward zero to an integral value.
 //==============================================================
@@ -97,105 +94,73 @@ TRUNC_GR_bigexp    = r18
 // If we multiply by 2^23, we no longer have a fractional part
 // So input is an integer value already.
 
-truncf:
+.section .text
+GLOBAL_LIBM_ENTRY(truncf)
 
 { .mfi
-      getf.exp         TRUNC_GR_signexp  = f8
-      fcvt.fx.trunc.s1 f9  = f8
-      addl             TRUNC_GR_bigexp = 0x10016, r0
+      getf.exp         rSignexp  = f8        // Get signexp, recompute if unorm
+      fcvt.fx.trunc.s1 fXtruncInt  = f8      // Convert to int in significand
+      addl             rBigexp = 0x10016, r0 // Set exponent at which is integer
 }
 { .mfi
-      mov              TRUNC_GR_FFFF    = 0x0FFFF
-      fnorm.s          f11  = f8
-      mov              TRUNC_GR_expmask    = 0x1FFFF 
-};;
-//    get the exponent of x
-//    convert x to integer in signficand of f9 
-//    Normalize x - this will raise invalid on SNaNs, the
-//    denormal operand flag - and possibly a spurious U flag
-//    get exponent only mask (will exclude sign bit)
+      mov              rExpBias    = 0x0FFFF // Form exponent bias
+      fnorm.s1         fNormX  = f8          // Normalize input
+      mov              rExpMask    = 0x1FFFF // Form exponent mask
+}
+;;
 
 { .mfi
       nop.m            0
-      fclass.m         p7,p8 = f8, 0x0b  
+      fclass.m         p7,p0 = f8, 0x0b      // Test x unorm
       nop.i            0
 }
-{ .mfi
-      nop.m            0
-      fcmp.eq.unc.s1   p9,p0 = f8,f0
-      nop.i      0       
-};;
-//    fclass to set p7 if unnorm 
-{ .mmi
-      and              TRUNC_GR_exponent = TRUNC_GR_signexp, TRUNC_GR_expmask ;;
-(p8)  cmp.ge.unc       p10,p11 = TRUNC_GR_exponent, TRUNC_GR_bigexp
-(p8)  cmp.ne.unc       p6,p0 = TRUNC_GR_exponent, TRUNC_GR_signexp
-};;
-//    Get the exponent of x
-//    Test if exponent such that result already an integer
-//    Test if x < 0
-{ .mmi
-(p9)  cmp.eq.andcm     p10,p11 = r0, r0 
-(p6)  cmp.lt.unc       p6,p0 = TRUNC_GR_exponent, TRUNC_GR_FFFF
-      nop.i 0 
-};;
-//    If -1 < x < 0, set p6, turn off p10 and p11, and set result to -0.0
-{ .mfb
-(p6)  cmp.eq.andcm     p10,p11 = r0, r0 
-(p6)  fmerge.s         f8 = f8, f0
-      nop.b 0
-};;
-//    If not a unnorm, set p10 if x already is a big int, nan, or inf?
-//    If not a unnorm, set p10 if x already is a big int, nan, or inf?
-.pred.rel "mutex",p10,p11    
+;;
+
 { .mfb
       nop.m            0
-(p11) fcvt.xf          f8   = f9 
-      nop.b            0 
+      fclass.m         p6,p0 = f8, 0x1e3     // Test x natval, nan, inf
+(p7)  br.cond.spnt     TRUNC_UNORM           // Branch if x unorm
 }
+;;
+
+TRUNC_COMMON:
+// Return here from TRUNC_UNORM
 { .mfb
+      and              rExp = rSignexp, rExpMask // Get biased exponent
+(p6)  fma.s.s0         f8 = f8, f1, f0       // Result if x natval, nan, inf
+(p6)  br.ret.spnt      b0                    // Exit if x natval, nan, inf
+}
+;;
+
+{ .mfi
+      cmp.lt           p6,p0 = rExp, rExpBias // Is |x| < 1?
+      fcvt.xf          f8 = fXtruncInt        // Result, assume 1 <= |x| < 2^23
+      cmp.ge           p7,p0 = rExp, rBigexp  // Is |x| >= 2^23?
+}
+;;
+
+// We must correct result if |x| < 1, or |x| >= 2^23
+.pred.rel "mutex",p6,p7
+{ .mfi
       nop.m            0
-(p10) fma.s.s1         f8   = f11,f1,f0 
-(p8)  br.ret.sptk      b0 
-};;
-//    If not a unnorm and not an big int, nan,or +/-inf convert signficand
-//    back to f8.
-//    If not a unorm  and a big int, nan, or +/-inf, return fnorm'd x 
-//    If not a unorm, Return
-//    If unnorm, get the exponent again - perhaps it wasn't a denorm. 
-{ .mfb
-(p7)  getf.exp         TRUNC_GR_signexp  = f11
-(p7)  fcvt.fx.trunc.s1 f12   = f11 
-      nop.b 0
-};;
-{ .mfb
-      and              TRUNC_GR_exponent = TRUNC_GR_signexp, TRUNC_GR_expmask
-      fcmp.lt.unc.s1   p9,p0 = f8,f0
-      nop.b            0
-};;
-{ .mfb
-      cmp.ge.unc       p10,p11 = TRUNC_GR_exponent, TRUNC_GR_bigexp
-      nop.f            0
-      nop.b            0
-};;
-// If a unnorm, check to see if value is already a big int. 
+(p6)  fmerge.s         f8 = fNormX, f0        // If |x| < 1, result sgn(x)*0
+      nop.i            0
+}
 { .mfb
-      nop.m 0
-(p11) fcvt.xf          f8   = f12 
-      nop.b 0
+      nop.m            0
+(p7)  fma.s.s0         f8 = fNormX, f1, f0    // If |x| >= 2^23, result x
+      br.ret.sptk      b0                     // Exit main path
 }
-{ .mfi
-      nop.m 0
-(p10) fma.s.s1         f8   = f11,f1,f0 
-      nop.i 0
-};;
+;;
+
+
+TRUNC_UNORM:
+// Here if x unorm
 { .mfb
-      nop.m 0
-(p9)  fmerge.ns        f8   = f1,f8 
-      br.ret.sptk      b0 
-};;
-// If so return it. Otherwise, return (fcvt.xf(fcvt.fx.trunc(x)))
-// Make sure the result is negative if it should be - that is
-// negative(denormal) -> -0.
-.endp truncf
-ASM_SIZE_DIRECTIVE(truncf)
+      getf.exp         rSignexp  = fNormX     // Get signexp, recompute if unorm
+      fcmp.eq.s0       p7,p0 = f8, f0         // Dummy op to set denormal flag
+      br.cond.sptk     TRUNC_COMMON           // Return to main path
+}
+;;
+
+GLOBAL_LIBM_END(truncf)
diff --git a/sysdeps/ia64/fpu/s_truncl.S b/sysdeps/ia64/fpu/s_truncl.S
index 91bf96ce90..1afa19ba2b 100644
--- a/sysdeps/ia64/fpu/s_truncl.S
+++ b/sysdeps/ia64/fpu/s_truncl.S
@@ -1,11 +1,10 @@
 .file "truncl.s"
 
-// Copyright (C) 2000, 2001, Intel Corporation
+
+// Copyright (c) 2000 - 2003, Intel Corporation
 // All rights reserved.
-// 
-// Contributed 7/7/2000 by John Harrison, Cristina Iordache, Ted Kubaska,
-// Bob Norin, Shane Story, and Ping Tak Peter Tang of the
-// Computational Software Lab, Intel Corporation.
+//
+// Contributed 2000 by the Intel Numerics Group, Intel Corporation
 //
 // Redistribution and use in source and binary forms, with or without
 // modification, are permitted provided that the following conditions are
@@ -21,59 +20,57 @@
 // * The name of Intel Corporation may not be used to endorse or promote
 // products derived from this software without specific prior written
 // permission.
-//
-// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
-// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
-// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS 
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
 // CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
-// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, 
-// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 
-// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY 
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
 // OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
-// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 
-// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 
-// 
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+//
 // Intel Corporation is the author of this code, and requests that all
-// problem reports or change requests be submitted to it directly at 
-// http://developer.intel.com/opensource.
+// problem reports or change requests be submitted to it directly at
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
 //
-.align 32
-.global truncl#
-
-.section .text
-.proc  truncl#
-.align 32
-
 // History
 //==============================================================
-// 7/7/00: Created 
+// 07/07/00 Created
+// 05/20/02 Cleaned up namespace and sf0 syntax
+// 01/20/03 Improved performance and reduced code size
 //==============================================================
 
 // API
 //==============================================================
-// long double truncl(float x)
+// long double truncl(long double x)
 //==============================================================
 
-#include "libm_support.h"
+// general input registers:
+// r14 - r18
 
-// general input registers:  
-TRUNC_GR_FFFF      = r14
-TRUNC_GR_signexp   = r15
-TRUNC_GR_exponent  = r16
-TRUNC_GR_expmask   = r17
-TRUNC_GR_bigexp    = r18
+rExpBias   = r14
+rSignexp   = r15
+rExp       = r16
+rExpMask   = r17
+rBigexp    = r18
 
 // floating-point registers:
-// f8, f9, f11, f12
+// f8 - f10
 
-// predicate registers used: 
-// p6, p7, p8, p9, p10, p11
+fXtruncInt = f9
+fNormX     = f10
+
+// predicate registers used:
+// p6, p7
 
 // Overview of operation
 //==============================================================
 // long double truncl(long double x)
-// Return an integer value (represented as a long double) less than or 
+// Return an integer value (represented as a long double) less than or
 // equal to x in magnitude.
 // This is x rounded toward zero to an integral value.
 //==============================================================
@@ -97,105 +94,73 @@ TRUNC_GR_bigexp    = r18
 // If we multiply by 2^23, we no longer have a fractional part
 // So input is an integer value already.
 
-truncl:
+.section .text
+GLOBAL_LIBM_ENTRY(truncl)
 
 { .mfi
-      getf.exp         TRUNC_GR_signexp  = f8
-      fcvt.fx.trunc.s1 f9  = f8
-      addl             TRUNC_GR_bigexp = 0x1003e, r0
+      getf.exp         rSignexp  = f8        // Get signexp, recompute if unorm
+      fcvt.fx.trunc.s1 fXtruncInt  = f8      // Convert to int in significand
+      addl             rBigexp = 0x1003e, r0 // Set exponent at which is integer
 }
 { .mfi
-      mov              TRUNC_GR_FFFF    = 0x0FFFF
-      fnorm            f11  = f8
-      mov              TRUNC_GR_expmask    = 0x1FFFF 
-};;
-//    get the exponent of x
-//    convert x to integer in signficand of f9 
-//    Normalize x - this will raise invalid on SNaNs, the
-//    denormal operand flag - and possibly a spurious U flag
-//    get exponent only mask (will exclude sign bit)
+      mov              rExpBias    = 0x0FFFF // Form exponent bias
+      fnorm.s1         fNormX  = f8          // Normalize input
+      mov              rExpMask    = 0x1FFFF // Form exponent mask
+}
+;;
 
 { .mfi
       nop.m            0
-      fclass.m         p7,p8 = f8, 0x0b  
+      fclass.m         p7,p0 = f8, 0x0b      // Test x unorm
       nop.i            0
 }
-{ .mfi
-      nop.m            0
-      fcmp.eq.unc.s1   p9,p0 = f8,f0
-      nop.i      0       
-};;
-//    fclass to set p7 if unnorm 
-{ .mmi
-      and              TRUNC_GR_exponent = TRUNC_GR_signexp, TRUNC_GR_expmask ;;
-(p8)  cmp.ge.unc       p10,p11 = TRUNC_GR_exponent, TRUNC_GR_bigexp
-(p8)  cmp.ne.unc       p6,p0 = TRUNC_GR_exponent, TRUNC_GR_signexp
-};;
-//    Get the exponent of x
-//    Test if exponent such that result already an integer
-//    Test if x < 0
-{ .mmi
-(p9)  cmp.eq.andcm     p10,p11 = r0, r0 
-(p6)  cmp.lt.unc       p6,p0 = TRUNC_GR_exponent, TRUNC_GR_FFFF
-      nop.i 0 
-};;
-//    If -1 < x < 0, set p6, turn off p10 and p11, and set result to -0.0
-{ .mfb
-(p6)  cmp.eq.andcm     p10,p11 = r0, r0 
-(p6)  fmerge.s         f8 = f8, f0
-      nop.b 0
-};;
-//    If not a unnorm, set p10 if x already is a big int, nan, or inf?
-//    If not a unnorm, set p10 if x already is a big int, nan, or inf?
-.pred.rel "mutex",p10,p11    
+;;
+
 { .mfb
       nop.m            0
-(p11) fcvt.xf          f8   = f9 
-      nop.b            0 
+      fclass.m         p6,p0 = f8, 0x1e3     // Test x natval, nan, inf
+(p7)  br.cond.spnt     TRUNC_UNORM           // Branch if x unorm
 }
+;;
+
+TRUNC_COMMON:
+// Return here from TRUNC_UNORM
 { .mfb
+      and              rExp = rSignexp, rExpMask // Get biased exponent
+(p6)  fma.s0           f8 = f8, f1, f0       // Result if x natval, nan, inf
+(p6)  br.ret.spnt      b0                    // Exit if x natval, nan, inf
+}
+;;
+
+{ .mfi
+      cmp.lt           p6,p0 = rExp, rExpBias // Is |x| < 1?
+      fcvt.xf          f8 = fXtruncInt        // Result, assume 1 <= |x| < 2^63
+      cmp.ge           p7,p0 = rExp, rBigexp  // Is |x| >= 2^63?
+}
+;;
+
+// We must correct result if |x| < 1, or |x| >= 2^63
+.pred.rel "mutex",p6,p7
+{ .mfi
       nop.m            0
-(p10) fma.s1           f8   = f11,f1,f0 
-(p8)  br.ret.sptk      b0 
-};;
-//    If not a unnorm and not an big int, nan,or +/-inf convert signficand
-//    back to f8.
-//    If not a unorm  and a big int, nan, or +/-inf, return fnorm'd x 
-//    If not a unorm, Return
-//    If unnorm, get the exponent again - perhaps it wasn't a denorm. 
-{ .mfb
-(p7)  getf.exp         TRUNC_GR_signexp  = f11
-(p7)  fcvt.fx.trunc.s1 f12   = f11 
-      nop.b 0
-};;
-{ .mfb
-      and              TRUNC_GR_exponent = TRUNC_GR_signexp, TRUNC_GR_expmask
-      fcmp.lt.unc.s1   p9,p0 = f8,f0
-      nop.b            0
-};;
-{ .mfb
-      cmp.ge.unc       p10,p11 = TRUNC_GR_exponent, TRUNC_GR_bigexp
-      nop.f            0
-      nop.b            0
-};;
-// If a unnorm, check to see if value is already a big int. 
+(p6)  fmerge.s         f8 = fNormX, f0        // If |x| < 1, result sgn(x)*0
+      nop.i            0
+}
 { .mfb
-      nop.m 0
-(p11) fcvt.xf          f8   = f12 
-      nop.b 0
+      nop.m            0
+(p7)  fma.s0           f8 = fNormX, f1, f0    // If |x| >= 2^63, result x
+      br.ret.sptk      b0                     // Exit main path
 }
-{ .mfi
-      nop.m 0
-(p10) fma.s1           f8   = f11,f1,f0 
-      nop.i 0
-};;
+;;
+
+
+TRUNC_UNORM:
+// Here if x unorm
 { .mfb
-      nop.m 0
-(p9)  fmerge.ns        f8   = f1,f8 
-      br.ret.sptk      b0 
-};;
-// If so return it. Otherwise, return (fcvt.xf(fcvt.fx.trunc(x)))
-// Make sure the result is negative if it should be - that is
-// negative(denormal) -> -0.
-.endp truncl
-ASM_SIZE_DIRECTIVE(truncl)
+      getf.exp         rSignexp  = fNormX     // Get signexp, recompute if unorm
+      fcmp.eq.s0       p7,p0 = f8, f0         // Dummy op to set denormal flag
+      br.cond.sptk     TRUNC_COMMON           // Return to main path
+}
+;;
+
+GLOBAL_LIBM_END(truncl)
diff --git a/sysdeps/ia64/fpu/t_exp.c b/sysdeps/ia64/fpu/t_exp.c
new file mode 100644
index 0000000000..41254ae60a
--- /dev/null
+++ b/sysdeps/ia64/fpu/t_exp.c
@@ -0,0 +1 @@
+/* Not needed. */
diff --git a/sysdeps/ia64/fpu/w_acosh.c b/sysdeps/ia64/fpu/w_acosh.c
new file mode 100644
index 0000000000..41254ae60a
--- /dev/null
+++ b/sysdeps/ia64/fpu/w_acosh.c
@@ -0,0 +1 @@
+/* Not needed. */
diff --git a/sysdeps/ia64/fpu/w_acoshf.c b/sysdeps/ia64/fpu/w_acoshf.c
new file mode 100644
index 0000000000..41254ae60a
--- /dev/null
+++ b/sysdeps/ia64/fpu/w_acoshf.c
@@ -0,0 +1 @@
+/* Not needed. */
diff --git a/sysdeps/ia64/fpu/w_acoshl.c b/sysdeps/ia64/fpu/w_acoshl.c
new file mode 100644
index 0000000000..41254ae60a
--- /dev/null
+++ b/sysdeps/ia64/fpu/w_acoshl.c
@@ -0,0 +1 @@
+/* Not needed. */
diff --git a/sysdeps/ia64/fpu/w_atanh.c b/sysdeps/ia64/fpu/w_atanh.c
new file mode 100644
index 0000000000..41254ae60a
--- /dev/null
+++ b/sysdeps/ia64/fpu/w_atanh.c
@@ -0,0 +1 @@
+/* Not needed. */
diff --git a/sysdeps/ia64/fpu/w_atanhf.c b/sysdeps/ia64/fpu/w_atanhf.c
new file mode 100644
index 0000000000..41254ae60a
--- /dev/null
+++ b/sysdeps/ia64/fpu/w_atanhf.c
@@ -0,0 +1 @@
+/* Not needed. */
diff --git a/sysdeps/ia64/fpu/w_atanhl.c b/sysdeps/ia64/fpu/w_atanhl.c
new file mode 100644
index 0000000000..41254ae60a
--- /dev/null
+++ b/sysdeps/ia64/fpu/w_atanhl.c
@@ -0,0 +1 @@
+/* Not needed. */
diff --git a/sysdeps/ia64/fpu/w_exp10.c b/sysdeps/ia64/fpu/w_exp10.c
new file mode 100644
index 0000000000..41254ae60a
--- /dev/null
+++ b/sysdeps/ia64/fpu/w_exp10.c
@@ -0,0 +1 @@
+/* Not needed. */
diff --git a/sysdeps/ia64/fpu/w_exp10f.c b/sysdeps/ia64/fpu/w_exp10f.c
new file mode 100644
index 0000000000..41254ae60a
--- /dev/null
+++ b/sysdeps/ia64/fpu/w_exp10f.c
@@ -0,0 +1 @@
+/* Not needed. */
diff --git a/sysdeps/ia64/fpu/w_exp10l.c b/sysdeps/ia64/fpu/w_exp10l.c
new file mode 100644
index 0000000000..41254ae60a
--- /dev/null
+++ b/sysdeps/ia64/fpu/w_exp10l.c
@@ -0,0 +1 @@
+/* Not needed. */
diff --git a/sysdeps/ia64/fpu/w_exp2.c b/sysdeps/ia64/fpu/w_exp2.c
new file mode 100644
index 0000000000..41254ae60a
--- /dev/null
+++ b/sysdeps/ia64/fpu/w_exp2.c
@@ -0,0 +1 @@
+/* Not needed. */
diff --git a/sysdeps/ia64/fpu/w_exp2f.c b/sysdeps/ia64/fpu/w_exp2f.c
new file mode 100644
index 0000000000..41254ae60a
--- /dev/null
+++ b/sysdeps/ia64/fpu/w_exp2f.c
@@ -0,0 +1 @@
+/* Not needed. */
diff --git a/sysdeps/ia64/fpu/w_exp2l.c b/sysdeps/ia64/fpu/w_exp2l.c
new file mode 100644
index 0000000000..41254ae60a
--- /dev/null
+++ b/sysdeps/ia64/fpu/w_exp2l.c
@@ -0,0 +1 @@
+/* Not needed. */
diff --git a/sysdeps/ia64/fpu/w_expl.c b/sysdeps/ia64/fpu/w_expl.c
new file mode 100644
index 0000000000..41254ae60a
--- /dev/null
+++ b/sysdeps/ia64/fpu/w_expl.c
@@ -0,0 +1 @@
+/* Not needed. */
diff --git a/sysdeps/ia64/fpu/w_lgamma.c b/sysdeps/ia64/fpu/w_lgamma.c
new file mode 100644
index 0000000000..fb799df68d
--- /dev/null
+++ b/sysdeps/ia64/fpu/w_lgamma.c
@@ -0,0 +1,80 @@
+/* file: lgamma.c */
+
+// Copyright (c) 2002 Intel Corporation
+// All rights reserved.
+//
+// Contributed 2002 by the Intel Numerics Group, Intel Corporation
+//
+// Redistribution and use in source and binary forms, with or without
+// modification, are permitted provided that the following conditions are
+// met:
+//
+// * Redistributions of source code must retain the above copyright
+// notice, this list of conditions and the following disclaimer.
+//
+// * Redistributions in binary form must reproduce the above copyright
+// notice, this list of conditions and the following disclaimer in the
+// documentation and/or other materials provided with the distribution.
+//
+// * The name of Intel Corporation may not be used to endorse or promote
+// products derived from this software without specific prior written
+// permission.
+
+// WARRANTY DISCLAIMER
+//
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
+// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
+// OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+//
+// Intel Corporation is the author of this code, and requests that all
+// problem reports or change requests be submitted to it directly at
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
+//
+//
+
+// History
+//==============================================================
+// 02/04/02: Initial version
+// 02/22/02: Removed lgammaf/gammaf
+//
+/*
+//   FUNCTIONS:    double  lgamma(double x)
+//                 double  gamma(double x)
+//                 Natural logarithm of GAMMA function
+*/
+
+#include "libm_support.h"
+
+
+extern double __libm_lgamma(double /*x*/, int* /*signgam*/, int /*signgamsz*/);
+
+
+double __ieee754_lgamma(double x)
+{
+#ifdef __POSIX__
+    extern int    signgam;
+#else
+    int    signgam;
+#endif
+    return __libm_lgamma(x, &signgam, sizeof(signgam));
+}
+weak_alias(__ieee754_lgamma, lgamma)
+
+double __ieee754_gamma(double x)
+{
+#ifdef __POSIX__
+    extern int    signgam;
+#else
+    int    signgam;
+#endif
+    return __libm_lgamma(x, &signgam, sizeof(signgam));
+}
+weak_alias(__ieee754_gamma, gamma)
diff --git a/sysdeps/ia64/fpu/w_lgamma_r.c b/sysdeps/ia64/fpu/w_lgamma_r.c
new file mode 100644
index 0000000000..41254ae60a
--- /dev/null
+++ b/sysdeps/ia64/fpu/w_lgamma_r.c
@@ -0,0 +1 @@
+/* Not needed. */
diff --git a/sysdeps/ia64/fpu/w_lgammaf.c b/sysdeps/ia64/fpu/w_lgammaf.c
new file mode 100644
index 0000000000..bda3741f78
--- /dev/null
+++ b/sysdeps/ia64/fpu/w_lgammaf.c
@@ -0,0 +1,80 @@
+/* file: lgammaf.c */
+
+// Copyright (c) 2002 Intel Corporation
+// All rights reserved.
+//
+// Contributed 2002 by the Intel Numerics Group, Intel Corporation
+//
+// Redistribution and use in source and binary forms, with or without
+// modification, are permitted provided that the following conditions are
+// met:
+//
+// * Redistributions of source code must retain the above copyright
+// notice, this list of conditions and the following disclaimer.
+//
+// * Redistributions in binary form must reproduce the above copyright
+// notice, this list of conditions and the following disclaimer in the
+// documentation and/or other materials provided with the distribution.
+//
+// * The name of Intel Corporation may not be used to endorse or promote
+// products derived from this software without specific prior written
+// permission.
+
+// WARRANTY DISCLAIMER
+//
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
+// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
+// OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+//
+// Intel Corporation is the author of this code, and requests that all
+// problem reports or change requests be submitted to it directly at
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
+//
+//
+
+// History
+//==============================================================
+// 02/04/02: Initial version
+// 02/22/02: Removed lgamma/gamma
+//
+/*
+//   FUNCTIONS:    float   lgammaf(float x)
+//                 float   gammaf(float x)
+//                 Natural logarithm of GAMMA function
+*/
+
+#include "libm_support.h"
+
+
+extern float  __libm_lgammaf(float /*x*/, int* /*signgam*/, int /*signgamsz*/);
+
+
+float __ieee754_lgammaf(float x)
+{
+#ifdef __POSIX__
+    extern int    signgam;
+#else
+    int    signgam;
+#endif
+    return __libm_lgammaf(x, &signgam, sizeof(signgam));
+}
+weak_alias(__ieee754_lgammaf, lgammaf)
+
+float __ieee754_gammaf(float x)
+{
+#ifdef __POSIX__
+    extern int    signgam;
+#else
+    int    signgam;
+#endif
+    return __libm_lgammaf(x, &signgam, sizeof(signgam));
+}
+weak_alias(__ieee754_gammaf, gammaf)
diff --git a/sysdeps/ia64/fpu/w_lgammaf_r.c b/sysdeps/ia64/fpu/w_lgammaf_r.c
new file mode 100644
index 0000000000..41254ae60a
--- /dev/null
+++ b/sysdeps/ia64/fpu/w_lgammaf_r.c
@@ -0,0 +1 @@
+/* Not needed. */
diff --git a/sysdeps/ia64/fpu/w_lgammal.c b/sysdeps/ia64/fpu/w_lgammal.c
new file mode 100644
index 0000000000..9f9f356e98
--- /dev/null
+++ b/sysdeps/ia64/fpu/w_lgammal.c
@@ -0,0 +1,79 @@
+/* file: lgammal.c */
+
+// Copyright (c) 2002 Intel Corporation
+// All rights reserved.
+//
+// Contributed 2002 by the Intel Numerics Group, Intel Corporation
+//
+// Redistribution and use in source and binary forms, with or without
+// modification, are permitted provided that the following conditions are
+// met:
+//
+// * Redistributions of source code must retain the above copyright
+// notice, this list of conditions and the following disclaimer.
+//
+// * Redistributions in binary form must reproduce the above copyright
+// notice, this list of conditions and the following disclaimer in the
+// documentation and/or other materials provided with the distribution.
+//
+// * The name of Intel Corporation may not be used to endorse or promote
+// products derived from this software without specific prior written
+// permission.
+
+// WARRANTY DISCLAIMER
+//
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS
+// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
+// OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+//
+// Intel Corporation is the author of this code, and requests that all
+// problem reports or change requests be submitted to it directly at
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
+//
+//
+
+// History
+//==============================================================
+// 08/15/02: Initial version
+//
+/*
+//   FUNCTIONS:    long double  lgammal(long double x)
+//                 long double  gammal(long double x)
+//                 Natural logarithm of GAMMA function
+*/
+
+#include "libm_support.h"
+
+
+extern double __libm_lgammal(long double /*x*/, int* /*signgam*/, int /*signgamsz*/);
+
+
+long double __ieee754_lgammal(long double x)
+{
+#ifdef __POSIX__
+    extern int    signgam;
+#else
+    int    signgam;
+#endif
+    return __libm_lgammal(x, &signgam, sizeof(signgam));
+}
+weak_alias(__ieee754_lgammal, lgammal)
+
+long double __ieee754_gammal(long double x)
+{
+#ifdef __POSIX__
+    extern int    signgam;
+#else
+    int    signgam;
+#endif
+    return __libm_lgammal(x, &signgam, sizeof(signgam));
+}
+weak_alias(__ieee754_gammal, gammal)
diff --git a/sysdeps/ia64/fpu/w_lgammal_r.c b/sysdeps/ia64/fpu/w_lgammal_r.c
new file mode 100644
index 0000000000..41254ae60a
--- /dev/null
+++ b/sysdeps/ia64/fpu/w_lgammal_r.c
@@ -0,0 +1 @@
+/* Not needed. */
diff --git a/sysdeps/ia64/fpu/w_log2.c b/sysdeps/ia64/fpu/w_log2.c
new file mode 100644
index 0000000000..41254ae60a
--- /dev/null
+++ b/sysdeps/ia64/fpu/w_log2.c
@@ -0,0 +1 @@
+/* Not needed. */
diff --git a/sysdeps/ia64/fpu/w_log2f.c b/sysdeps/ia64/fpu/w_log2f.c
new file mode 100644
index 0000000000..41254ae60a
--- /dev/null
+++ b/sysdeps/ia64/fpu/w_log2f.c
@@ -0,0 +1 @@
+/* Not needed. */
diff --git a/sysdeps/ia64/fpu/w_log2l.c b/sysdeps/ia64/fpu/w_log2l.c
new file mode 100644
index 0000000000..41254ae60a
--- /dev/null
+++ b/sysdeps/ia64/fpu/w_log2l.c
@@ -0,0 +1 @@
+/* Not needed. */
diff --git a/sysdeps/ia64/fpu/w_sinh.c b/sysdeps/ia64/fpu/w_sinh.c
new file mode 100644
index 0000000000..41254ae60a
--- /dev/null
+++ b/sysdeps/ia64/fpu/w_sinh.c
@@ -0,0 +1 @@
+/* Not needed. */
diff --git a/sysdeps/ia64/fpu/w_sinhf.c b/sysdeps/ia64/fpu/w_sinhf.c
new file mode 100644
index 0000000000..41254ae60a
--- /dev/null
+++ b/sysdeps/ia64/fpu/w_sinhf.c
@@ -0,0 +1 @@
+/* Not needed. */
diff --git a/sysdeps/ia64/fpu/w_sinhl.c b/sysdeps/ia64/fpu/w_sinhl.c
new file mode 100644
index 0000000000..41254ae60a
--- /dev/null
+++ b/sysdeps/ia64/fpu/w_sinhl.c
@@ -0,0 +1 @@
+/* Not needed. */
diff --git a/sysdeps/ia64/fpu/w_tgamma.S b/sysdeps/ia64/fpu/w_tgamma.S
new file mode 100644
index 0000000000..7d654d0343
--- /dev/null
+++ b/sysdeps/ia64/fpu/w_tgamma.S
@@ -0,0 +1,1835 @@
+.file "tgamma.s"
+
+
+// Copyright (c) 2001 - 2003, Intel Corporation
+// All rights reserved.
+//
+// Contributed 2001 by the Intel Numerics Group, Intel Corporation
+//
+// Redistribution and use in source and binary forms, with or without
+// modification, are permitted provided that the following conditions are
+// met:
+//
+// * Redistributions of source code must retain the above copyright
+// notice, this list of conditions and the following disclaimer.
+//
+// * Redistributions in binary form must reproduce the above copyright
+// notice, this list of conditions and the following disclaimer in the
+// documentation and/or other materials provided with the distribution.
+//
+// * The name of Intel Corporation may not be used to endorse or promote
+// products derived from this software without specific prior written
+// permission.
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES,INCLUDING,BUT NOT 
+// LIMITED TO,THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS 
+// CONTRIBUTORS BE LIABLE FOR ANY DIRECT,INDIRECT,INCIDENTAL,SPECIAL,
+// EXEMPLARY,OR CONSEQUENTIAL DAMAGES (INCLUDING,BUT NOT LIMITED TO,
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,DATA,OR 
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY 
+// OF LIABILITY,WHETHER IN CONTRACT,STRICT LIABILITY OR TORT (INCLUDING
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 
+// SOFTWARE,EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 
+// 
+// Intel Corporation is the author of this code,and requests that all
+// problem reports or change requests be submitted to it directly at 
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
+//
+//*********************************************************************
+//
+// History: 
+// 10/12/01  Initial version
+// 05/20/02  Cleaned up namespace and sf0 syntax
+// 02/10/03  Reordered header: .section, .global, .proc, .align
+// 04/04/03  Changed error codes for overflow and negative integers
+// 04/10/03  Changed code for overflow near zero handling
+//
+//*********************************************************************
+//
+//*********************************************************************
+//
+// Function: tgamma(x) computes the principle value of the GAMMA
+// function of x.
+//
+//*********************************************************************
+//
+// Resources Used:
+//
+//    Floating-Point Registers: f8-f15
+//                              f33-f87
+//
+//    General Purpose Registers:
+//      r8-r11
+//      r14-r28
+//      r32-r36
+//      r37-r40 (Used to pass arguments to error handling routine)
+//
+//    Predicate Registers:      p6-p15
+//
+//*********************************************************************
+//
+// IEEE Special Conditions:
+//
+//    tgamma(+inf) = +inf
+//    tgamma(-inf) = QNaN 
+//    tgamma(+/-0) = +/-inf 
+//    tgamma(x<0, x - integer) = QNaN
+//    tgamma(SNaN) = QNaN
+//    tgamma(QNaN) = QNaN
+//
+//*********************************************************************
+//
+// Overview
+//
+// The method consists of three cases.
+// 
+// If       2 <= x < OVERFLOW_BOUNDARY      use case tgamma_regular;
+// else if    0 < x < 2                     use case tgamma_from_0_to_2;
+// else    if  -(i+1) <  x < -i, i = 0...184 use case tgamma_negatives;
+//
+// Case 2 <= x < OVERFLOW_BOUNDARY
+// -------------------------------
+//   Here we use algorithm based on the recursive formula
+//   GAMMA(x+1) = x*GAMMA(x). For that we subdivide interval
+//   [2; OVERFLOW_BOUNDARY] into intervals [16*n; 16*(n+1)] and
+//   approximate GAMMA(x) by polynomial of 22th degree on each
+//   [16*n; 16*n+1], recursive formula is used to expand GAMMA(x)
+//   to [16*n; 16*n+1]. In other words we need to find n, i and r
+//   such that x = 16 * n + i + r where n and i are integer numbers
+//   and r is fractional part of x. So GAMMA(x) = GAMMA(16*n+i+r) =
+//   = (x-1)*(x-2)*...*(x-i)*GAMMA(x-i) =
+//   = (x-1)*(x-2)*...*(x-i)*GAMMA(16*n+r) ~
+//   ~ (x-1)*(x-2)*...*(x-i)*P22n(r).
+//
+//   Step 1: Reduction
+//   -----------------
+//    N = [x] with truncate
+//    r = x - N, note 0 <= r < 1
+//
+//    n = N & ~0xF - index of table that contains coefficient of
+//                   polynomial approximation 
+//    i = N & 0xF  - is used in recursive formula
+//   
+//
+//   Step 2: Approximation
+//   ---------------------
+//    We use factorized minimax approximation polynomials
+//    P22n(r) = A22*(r^2+C01(n)*R+C00(n))*
+//              *(r^2+C11(n)*R+C10(n))*...*(r^2+CA1(n)*R+CA0(n))
+//
+//   Step 3: Recursion
+//   -----------------
+//    In case when i > 0 we need to multiply P22n(r) by product
+//    R(i)=(x-1)*(x-2)*...*(x-i). To reduce number of fp-instructions
+//    we can calculate R as follow:  
+//    R(i) = ((x-1)*(x-2))*((x-3)*(x-4))*...*((x-(i-1))*(x-i)) if i is
+//    even or R = ((x-1)*(x-2))*((x-3)*(x-4))*...*((x-(i-2))*(x-(i-1)))*
+//    *(i-1) if i is odd. In both cases we need to calculate
+//    R2(i) = (x^2-3*x+2)*(x^2-7*x+12)*...*(x^2+x+2*j*(2*j-1)) =
+//    = (x^2-3*x+2)*(x^2-7*x+12)*...*((x^2+x)+2*j*(2*(j-1)+(1-2*x))) =
+//    = (RA+2*(2-RB))*(RA+4*(4-RB))*...*(RA+2*j*(2*(j-1)+RB))
+//    where j = 1..[i/2], RA = x^2+x, RB = 1-2*x.
+//
+//   Step 4: Reconstruction
+//   ----------------------
+//    Reconstruction is just simple multiplication i.e.
+//    GAMMA(x) = P22n(r)*R(i)
+//
+// Case 0 < x < 2
+// --------------
+//    To calculate GAMMA(x) on this interval we do following
+//        if 1 <= x < 1.25   than  GAMMA(x) = P15(x-1)
+//        if 1.25 <= x < 1.5 than  GAMMA(x) = P15(x-x_min) where
+//        x_min is point of local minimum on [1; 2] interval.
+//        if 1.5  <= x < 2.0 than  GAMMA(x) = P15(x-1.5)
+//    and      
+//        if 0 < x < 1 than GAMMA(x) = GAMMA(x+1)/x
+//
+// Case -(i+1) <  x < -i, i = 0...184
+// ----------------------------------
+//    Here we use the fact that GAMMA(-x) = PI/(x*GAMMA(x)*sin(PI*x)) and
+//    so we need to calculate GAMMA(x), sin(PI*x)/PI. Calculation of
+//    GAMMA(x) is described above.
+//
+//   Step 1: Reduction
+//   -----------------
+//    Note that period of sin(PI*x) is 2 and range reduction for 
+//    sin(PI*x) is like to range reduction for GAMMA(x) 
+//    i.e r = x - [x] with exception of cases
+//    when r > 0.5 (in such cases r = 1 - (x - [x])).
+//
+//   Step 2: Approximation
+//   ---------------------
+//    To approximate sin(PI*x)/PI = sin(PI*(2*n+r))/PI = 
+//    = (-1)^n*sin(PI*r)/PI Taylor series is used.
+//    sin(PI*r)/PI ~ S21(r).
+//
+//   Step 3: Division
+//   ----------------
+//    To calculate 1/(x*GAMMA(x)*S21(r)) we use frcpa instruction
+//    with following Newton-Raphson interations.
+//  
+//
+//*********************************************************************
+
+GR_Sig                  = r8
+GR_TAG                  = r8
+GR_ad_Data              = r9
+GR_SigRqLin             = r10
+GR_iSig                 = r11
+GR_ExpOf1               = r11
+GR_ExpOf8               = r11
+
+
+GR_Sig2                 = r14
+GR_Addr_Mask1           = r15
+GR_Sign_Exp             = r16
+GR_Tbl_Offs             = r17
+GR_Addr_Mask2           = r18
+GR_ad_Co                = r19
+GR_Bit2                 = r19
+GR_ad_Ce                = r20
+GR_ad_Co7               = r21
+GR_NzOvfBound           = r21
+GR_ad_Ce7               = r22
+GR_Tbl_Ind              = r23
+GR_Tbl_16xInd           = r24
+GR_ExpOf025             = r24
+GR_ExpOf05              = r25
+GR_0x30033              = r26
+GR_10                   = r26
+GR_12                   = r27
+GR_185                  = r27
+GR_14                   = r28
+GR_2                    = r28
+GR_fpsr                 = r28
+
+GR_SAVE_B0              = r33
+GR_SAVE_PFS             = r34
+GR_SAVE_GP              = r35
+GR_SAVE_SP              = r36
+
+GR_Parameter_X          = r37
+GR_Parameter_Y          = r38
+GR_Parameter_RESULT     = r39
+GR_Parameter_TAG        = r40
+
+
+
+FR_X                    = f10
+FR_Y                    = f1 // tgamma is single argument function
+FR_RESULT               = f8
+
+FR_AbsX                 = f9
+FR_NormX                = f9
+FR_r02                  = f11
+FR_AbsXp1               = f12
+FR_X2pX                 = f13
+FR_1m2X                 = f14
+FR_Rq1                  = f14
+FR_Xt                   = f15
+
+FR_r                    = f33
+FR_OvfBound             = f34
+FR_Xmin                 = f35
+FR_2                    = f36
+FR_Rcp1                 = f36
+FR_Rcp3                 = f36
+FR_4                    = f37
+FR_5                    = f38
+FR_6                    = f39
+FR_8                    = f40
+FR_10                   = f41
+FR_12                   = f42
+FR_14                   = f43
+FR_GAMMA                = f43
+FR_05                   = f44
+
+FR_Rq2                  = f45
+FR_Rq3                  = f46
+FR_Rq4                  = f47
+FR_Rq5                  = f48
+FR_Rq6                  = f49
+FR_Rq7                  = f50
+FR_RqLin                = f51
+
+FR_InvAn                = f52
+
+FR_C01                  = f53
+FR_A15                  = f53
+FR_C11                  = f54
+FR_A14                  = f54
+FR_C21                  = f55
+FR_A13                  = f55
+FR_C31                  = f56
+FR_A12                  = f56
+FR_C41                  = f57
+FR_A11                  = f57
+FR_C51                  = f58
+FR_A10                  = f58
+FR_C61                  = f59
+FR_A9                   = f59
+FR_C71                  = f60
+FR_A8                   = f60
+FR_C81                  = f61
+FR_A7                   = f61
+FR_C91                  = f62
+FR_A6                   = f62
+FR_CA1                  = f63
+FR_A5                   = f63
+FR_C00                  = f64
+FR_A4                   = f64
+FR_rs2                  = f64
+FR_C10                  = f65
+FR_A3                   = f65
+FR_rs3                  = f65
+FR_C20                  = f66
+FR_A2                   = f66
+FR_rs4                  = f66
+FR_C30                  = f67
+FR_A1                   = f67
+FR_rs7                  = f67
+FR_C40                  = f68
+FR_A0                   = f68
+FR_rs8                  = f68
+FR_C50                  = f69
+FR_r2                   = f69
+FR_C60                  = f70
+FR_r3                   = f70
+FR_C70                  = f71
+FR_r4                   = f71
+FR_C80                  = f72
+FR_r7                   = f72
+FR_C90                  = f73
+FR_r8                   = f73
+FR_CA0                  = f74
+FR_An                   = f75
+
+FR_S21                  = f76
+FR_S19                  = f77
+FR_Rcp0                 = f77
+FR_Rcp2                 = f77
+FR_S17                  = f78
+FR_S15                  = f79
+FR_S13                  = f80
+FR_S11                  = f81
+FR_S9                   = f82
+FR_S7                   = f83
+FR_S5                   = f84
+FR_S3                   = f85
+
+FR_iXt                  = f86
+FR_rs                   = f87
+
+
+// Data tables
+//==============================================================
+RODATA
+.align 16
+
+LOCAL_OBJECT_START(tgamma_data)
+data8 0x406573FAE561F648 // overflow boundary (171.624376956302739927196)
+data8 0x3FDD8B618D5AF8FE // point of local minium (0.461632144968362356785)
+//
+//[2; 3]
+data8 0xEF0E85C9AE40ABE2,0x00004000 // C01
+data8 0xCA2049DDB4096DD8,0x00004000 // C11
+data8 0x99A203B4DC2D1A8C,0x00004000 // C21
+data8 0xBF5D9D9C0C295570,0x00003FFF // C31
+data8 0xE8DD037DEB833BAB,0x00003FFD // C41
+data8 0xB6AE39A2A36AA03A,0x0000BFFE // C51
+data8 0x804960DC2850277B,0x0000C000 // C61
+data8 0xD9F3973841C09F80,0x0000C000 // C71
+data8 0x9C198A676F8A2239,0x0000C001 // C81
+data8 0xC98B7DAE02BE3226,0x0000C001 // C91
+data8 0xE9CAF31AC69301BA,0x0000C001 // CA1
+data8 0xFBBDD58608A0D172,0x00004000 // C00
+data8 0xFDD0316D1E078301,0x00004000 // C10
+data8 0x8630B760468C15E4,0x00004001 // C20
+data8 0x93EDE20E47D9152E,0x00004001 // C30
+data8 0xA86F3A38C77D6B19,0x00004001 // C40
+//[16; 17]
+data8 0xF87F757F365EE813,0x00004000 // C01
+data8 0xECA84FBA92759DA4,0x00004000 // C11
+data8 0xD4E0A55E07A8E913,0x00004000 // C21
+data8 0xB0EB45E94C8A5F7B,0x00004000 // C31
+data8 0x8050D6B4F7C8617D,0x00004000 // C41
+data8 0x8471B111AA691E5A,0x00003FFF // C51
+data8 0xADAF462AF96585C9,0x0000BFFC // C61
+data8 0xD327C7A587A8C32B,0x0000BFFF // C71
+data8 0xDEF5192B4CF5E0F1,0x0000C000 // C81
+data8 0xBADD64BB205AEF02,0x0000C001 // C91
+data8 0x9330A24AA67D6860,0x0000C002 // CA1
+data8 0xF57EEAF36D8C47BE,0x00004000 // C00
+data8 0x807092E12A251B38,0x00004001 // C10
+data8 0x8C458F80DEE7ED1C,0x00004001 // C20
+data8 0x9F30C731DC77F1A6,0x00004001 // C30
+data8 0xBAC4E7E099C3A373,0x00004001 // C40
+//[32; 33]
+data8 0xC3059A415F142DEF,0x00004000 // C01
+data8 0xB9C1DAC24664587A,0x00004000 // C11
+data8 0xA7101D910992FFB2,0x00004000 // C21
+data8 0x8A9522B8E4AA0AB4,0x00004000 // C31
+data8 0xC76A271E4BA95DCC,0x00003FFF // C41
+data8 0xC5D6DE2A38DB7FF2,0x00003FFE // C51
+data8 0xDBA42086997818B2,0x0000BFFC // C61
+data8 0xB8EDDB1424C1C996,0x0000BFFF // C71
+data8 0xBF7372FB45524B5D,0x0000C000 // C81
+data8 0xA03DDE759131580A,0x0000C001 // C91
+data8 0xFDA6FC4022C1FFE3,0x0000C001 // CA1
+data8 0x9759ABF797B2533D,0x00004000 // C00
+data8 0x9FA160C6CF18CEC5,0x00004000 // C10
+data8 0xB0EFF1E3530E0FCD,0x00004000 // C20
+data8 0xCCD60D5C470165D1,0x00004000 // C30
+data8 0xF5E53F6307B0B1C1,0x00004000 // C40
+//[48; 49]
+data8 0xAABE577FBCE37F5E,0x00004000 // C01
+data8 0xA274CAEEB5DF7172,0x00004000 // C11
+data8 0x91B90B6646C1B924,0x00004000 // C21
+data8 0xF06718519CA256D9,0x00003FFF // C31
+data8 0xAA9EE181C0E30263,0x00003FFF // C41
+data8 0xA07BDB5325CB28D2,0x00003FFE // C51
+data8 0x86C8B873204F9219,0x0000BFFD // C61
+data8 0xB0192C5D3E4787D6,0x0000BFFF // C71
+data8 0xB1E0A6263D4C19EF,0x0000C000 // C81
+data8 0x93BA32A118EAC9AE,0x0000C001 // C91
+data8 0xE942A39CD9BEE887,0x0000C001 // CA1
+data8 0xE838B0957B0D3D0D,0x00003FFF // C00
+data8 0xF60E0F00074FCF34,0x00003FFF // C10
+data8 0x89869936AE00C2A5,0x00004000 // C20
+data8 0xA0FE4E8AA611207F,0x00004000 // C30
+data8 0xC3B1229CFF1DDAFE,0x00004000 // C40
+//[64; 65]
+data8 0x9C00DDF75CDC6183,0x00004000 // C01
+data8 0x9446AE9C0F6A833E,0x00004000 // C11
+data8 0x84ABC5083310B774,0x00004000 // C21
+data8 0xD9BA3A0977B1ED83,0x00003FFF // C31
+data8 0x989B18C99411D300,0x00003FFF // C41
+data8 0x886E66402318CE6F,0x00003FFE // C51
+data8 0x99028C2468F18F38,0x0000BFFD // C61
+data8 0xAB72D17DCD40CCE1,0x0000BFFF // C71
+data8 0xA9D9AC9BE42C2EF9,0x0000C000 // C81
+data8 0x8C11D983AA177AD2,0x0000C001 // C91
+data8 0xDC779E981C1F0F06,0x0000C001 // CA1
+data8 0xC1FD4AC85965E8D6,0x00003FFF // C00
+data8 0xCE3D2D909D389EC2,0x00003FFF // C10
+data8 0xE7F79980AD06F5D8,0x00003FFF // C20
+data8 0x88DD9F73C8680B5D,0x00004000 // C30
+data8 0xA7D6CB2CB2D46F9D,0x00004000 // C40
+//[80; 81]
+data8 0x91C7FF4E993430D0,0x00004000 // C01
+data8 0x8A6E7AB83E45A7E9,0x00004000 // C11
+data8 0xF72D6382E427BEA9,0x00003FFF // C21
+data8 0xC9E2E4F9B3B23ED6,0x00003FFF // C31
+data8 0x8BEFEF56AE05D775,0x00003FFF // C41
+data8 0xEE9666AB6A185560,0x00003FFD // C51
+data8 0xA6AFAF5CEFAEE04D,0x0000BFFD // C61
+data8 0xA877EAFEF1F9C880,0x0000BFFF // C71
+data8 0xA45BD433048ECA15,0x0000C000 // C81
+data8 0x86BD1636B774CC2E,0x0000C001 // C91
+data8 0xD3721BE006E10823,0x0000C001 // CA1
+data8 0xA97EFABA91854208,0x00003FFF // C00
+data8 0xB4AF0AEBB3F97737,0x00003FFF // C10
+data8 0xCC38241936851B0B,0x00003FFF // C20
+data8 0xF282A6261006EA84,0x00003FFF // C30
+data8 0x95B8E9DB1BD45BAF,0x00004000 // C40
+//[96; 97]
+data8 0x8A1FA3171B35A106,0x00004000 // C01
+data8 0x830D5B8843890F21,0x00004000 // C11
+data8 0xE98B0F1616677A23,0x00003FFF // C21
+data8 0xBDF8347F5F67D4EC,0x00003FFF // C31
+data8 0x825F15DE34EC055D,0x00003FFF // C41
+data8 0xD4846186B8AAC7BE,0x00003FFD // C51
+data8 0xB161093AB14919B1,0x0000BFFD // C61
+data8 0xA65758EEA4800EF4,0x0000BFFF // C71
+data8 0xA046B67536FA329C,0x0000C000 // C81
+data8 0x82BBEC1BCB9E9068,0x0000C001 // C91
+data8 0xCC9DE2B23BA91B0B,0x0000C001 // CA1
+data8 0x983B16148AF77F94,0x00003FFF // C00
+data8 0xA2A4D8EE90FEE5DD,0x00003FFF // C10
+data8 0xB89446FA37FF481C,0x00003FFF // C20
+data8 0xDC5572648485FB01,0x00003FFF // C30
+data8 0x88CD5D7DB976129A,0x00004000 // C40
+//[112; 113]
+data8 0x8417098FD62AC5E3,0x00004000 // C01
+data8 0xFA7896486B779CBB,0x00003FFF // C11
+data8 0xDEC98B14AF5EEBD1,0x00003FFF // C21
+data8 0xB48E153C6BF0B5A3,0x00003FFF // C31
+data8 0xF597B038BC957582,0x00003FFE // C41
+data8 0xBFC6F0884A415694,0x00003FFD // C51
+data8 0xBA075A1392BDB5E5,0x0000BFFD // C61
+data8 0xA4B79E01B44C7DB4,0x0000BFFF // C71
+data8 0x9D12FA7711BFAB0F,0x0000C000 // C81
+data8 0xFF24C47C8E108AB4,0x0000C000 // C91
+data8 0xC7325EC86562606A,0x0000C001 // CA1
+data8 0x8B47DCD9E1610938,0x00003FFF // C00
+data8 0x9518B111B70F88B8,0x00003FFF // C10
+data8 0xA9CC197206F68682,0x00003FFF // C20
+data8 0xCB98294CC0D7A6A6,0x00003FFF // C30
+data8 0xFE09493EA9165181,0x00003FFF // C40
+//[128; 129]
+data8 0xFE53D03442270D90,0x00003FFF // C01
+data8 0xF0F857BAEC1993E4,0x00003FFF // C11
+data8 0xD5FF6D70DBBC2FD3,0x00003FFF // C21
+data8 0xACDAA5F4988B1074,0x00003FFF // C31
+data8 0xE92E069F8AD75B54,0x00003FFE // C41
+data8 0xAEBB64645BD94234,0x00003FFD // C51
+data8 0xC13746249F39B43C,0x0000BFFD // C61
+data8 0xA36B74F5B6297A1F,0x0000BFFF // C71
+data8 0x9A77860DF180F6E5,0x0000C000 // C81
+data8 0xF9F8457D84410A0C,0x0000C000 // C91
+data8 0xC2BF44C649EB8597,0x0000C001 // CA1
+data8 0x81225E7489BCDC0E,0x00003FFF // C00
+data8 0x8A788A09CE0EED11,0x00003FFF // C10
+data8 0x9E2E6F86D1B1D89C,0x00003FFF // C20
+data8 0xBE6866B21CF6CCB5,0x00003FFF // C30
+data8 0xEE94426EC1486AAE,0x00003FFF // C40
+//[144; 145]
+data8 0xF6113E09732A6497,0x00003FFF // C01
+data8 0xE900D45931B04FC8,0x00003FFF // C11
+data8 0xCE9FD58F745EBA5D,0x00003FFF // C21
+data8 0xA663A9636C864C86,0x00003FFF // C31
+data8 0xDEBF5315896CE629,0x00003FFE // C41
+data8 0xA05FEA415EBD7737,0x00003FFD // C51
+data8 0xC750F112BD9C4031,0x0000BFFD // C61
+data8 0xA2593A35C51C6F6C,0x0000BFFF // C71
+data8 0x9848E1DA7FB40C8C,0x0000C000 // C81
+data8 0xF59FEE87A5759A4B,0x0000C000 // C91
+data8 0xBF00203909E45A1D,0x0000C001 // CA1
+data8 0xF1D8E157200127E5,0x00003FFE // C00
+data8 0x81DD5397CB08D487,0x00003FFF // C10
+data8 0x94C1DC271A8B766F,0x00003FFF // C20
+data8 0xB3AFAF9B5D6EDDCF,0x00003FFF // C30
+data8 0xE1FB4C57CA81BE1E,0x00003FFF // C40
+//[160; 161]
+data8 0xEEFFE5122AC72FFD,0x00003FFF // C01
+data8 0xE22F70BB52AD54B3,0x00003FFF // C11
+data8 0xC84FF021FE993EEA,0x00003FFF // C21
+data8 0xA0DA2208EB5B2752,0x00003FFF // C31
+data8 0xD5CDD2FCF8AD2DF5,0x00003FFE // C41
+data8 0x940BEC6DCD811A59,0x00003FFD // C51
+data8 0xCC954EF4FD4EBB81,0x0000BFFD // C61
+data8 0xA1712E29A8C04554,0x0000BFFF // C71
+data8 0x966B55DFB243521A,0x0000C000 // C81
+data8 0xF1E6A2B9CEDD0C4C,0x0000C000 // C91
+data8 0xBBC87BCC031012DB,0x0000C001 // CA1
+data8 0xE43974E6D2818583,0x00003FFE // C00
+data8 0xF5702A516B64C5B7,0x00003FFE // C10
+data8 0x8CEBCB1B32E19471,0x00003FFF // C20
+data8 0xAAC10F05BB77E0AF,0x00003FFF // C30
+data8 0xD776EFCAB205CC58,0x00003FFF // C40
+//[176; 177]
+data8 0xE8DA614119811E5D,0x00003FFF // C01
+data8 0xDC415E0288B223D8,0x00003FFF // C11
+data8 0xC2D2243E44EC970E,0x00003FFF // C21
+data8 0x9C086664B5307BEA,0x00003FFF // C31
+data8 0xCE03D7A08B461156,0x00003FFE // C41
+data8 0x894BE3BAAAB66ADC,0x00003FFD // C51
+data8 0xD131EDD71A702D4D,0x0000BFFD // C61
+data8 0xA0A907CDDBE10898,0x0000BFFF // C71
+data8 0x94CC3CD9C765C808,0x0000C000 // C81
+data8 0xEEA85F237815FC0D,0x0000C000 // C91
+data8 0xB8FA04B023E43F91,0x0000C001 // CA1
+data8 0xD8B2C7D9FCBD7EF9,0x00003FFE // C00
+data8 0xE9566E93AAE7E38F,0x00003FFE // C10
+data8 0x8646E78AABEF0255,0x00003FFF // C20
+data8 0xA32AEDB62E304345,0x00003FFF // C30
+data8 0xCE83E40280EE7DF0,0x00003FFF // C40
+//
+//
+//[2; 3]
+data8 0xC44FB47E90584083,0x00004001 // C50
+data8 0xE863EE77E1C45981,0x00004001 // C60
+data8 0x8AC15BE238B9D70E,0x00004002 // C70
+data8 0xA5D94B6592350EF4,0x00004002 // C80
+data8 0xC379DB3E20A148B3,0x00004002 // C90
+data8 0xDACA49B73974F6C9,0x00004002 // CA0
+data8 0x810E496A1AFEC895,0x00003FE1 // An
+//[16; 17]
+data8 0xE17C0357AAF3F817,0x00004001 // C50
+data8 0x8BA8804750FBFBFE,0x00004002 // C60
+data8 0xB18EAB3CB64BEBEE,0x00004002 // C70
+data8 0xE90AB7015AF1C28F,0x00004002 // C80
+data8 0xA0AB97CE9E259196,0x00004003 // C90
+data8 0xF5E0E0A000C2D720,0x00004003 // CA0
+data8 0xD97F0F87EC791954,0x00004005 // An
+//[32; 33]
+data8 0x980C293F3696040D,0x00004001 // C50
+data8 0xC0DBFFBB948A9A4E,0x00004001 // C60
+data8 0xFAB54625E9A588A2,0x00004001 // C70
+data8 0xA7E08176D6050FBF,0x00004002 // C80
+data8 0xEBAAEC4952270A9F,0x00004002 // C90
+data8 0xB7479CDAD20550FE,0x00004003 // CA0
+data8 0xAACD45931C3FF634,0x00004054 // An
+//[48; 49]
+data8 0xF5180F0000419AD5,0x00004000 // C50
+data8 0x9D507D07BFBB2273,0x00004001 // C60
+data8 0xCEB53F7A13A383E3,0x00004001 // C70
+data8 0x8BAFEF9E0A49128F,0x00004002 // C80
+data8 0xC58EF912D39E228C,0x00004002 // C90
+data8 0x9A88118422BA208E,0x00004003 // CA0
+data8 0xBD6C0E2477EC12CB,0x000040AC // An
+//[64; 65]
+data8 0xD410AC48BF7748DA,0x00004000 // C50
+data8 0x89399B90AFEBD931,0x00004001 // C60
+data8 0xB596DF8F77EB8560,0x00004001 // C70
+data8 0xF6D9445A047FB4A6,0x00004001 // C80
+data8 0xAF52F0DD65221357,0x00004002 // C90
+data8 0x8989B45BFC881989,0x00004003 // CA0
+data8 0xB7FCAE86E6E10D5A,0x0000410B // An
+//[80; 81]
+data8 0xBE759740E3B5AA84,0x00004000 // C50
+data8 0xF8037B1B07D27609,0x00004000 // C60
+data8 0xA4F6F6C7F0977D4F,0x00004001 // C70
+data8 0xE131960233BF02C4,0x00004001 // C80
+data8 0xA06DF43D3922BBE2,0x00004002 // C90
+data8 0xFC266AB27255A360,0x00004002 // CA0
+data8 0xD9F4B012EDAFEF2F,0x0000416F // An
+//[96; 97]
+data8 0xAEFC84CDA8E1EAA6,0x00004000 // C50
+data8 0xE5009110DB5F3C8A,0x00004000 // C60
+data8 0x98F5F48738E7B232,0x00004001 // C70
+data8 0xD17EE64E21FFDC6B,0x00004001 // C80
+data8 0x9596F7A7E36145CC,0x00004002 // C90
+data8 0xEB64DBE50E125CAF,0x00004002 // CA0
+data8 0xA090530D79E32D2E,0x000041D8 // An
+//[112; 113]
+data8 0xA33AEA22A16B2655,0x00004000 // C50
+data8 0xD682B93BD7D7945C,0x00004000 // C60
+data8 0x8FC854C6E6E30CC3,0x00004001 // C70
+data8 0xC5754D828AFFDC7A,0x00004001 // C80
+data8 0x8D41216B397139C2,0x00004002 // C90
+data8 0xDE78D746848116E5,0x00004002 // CA0
+data8 0xB8A297A2DC0630DB,0x00004244 // An
+//[128; 129]
+data8 0x99EB00F11D95E292,0x00004000 // C50
+data8 0xCB005CB911EB779A,0x00004000 // C60
+data8 0x8879AA2FDFF3A37A,0x00004001 // C70
+data8 0xBBDA538AD40CAC2C,0x00004001 // C80
+data8 0x8696D849D311B9DE,0x00004002 // C90
+data8 0xD41E1C041481199F,0x00004002 // CA0
+data8 0xEBA1A43D34EE61EE,0x000042B3 // An
+//[144; 145]
+data8 0x924F822578AA9F3D,0x00004000 // C50
+data8 0xC193FAF9D3B36960,0x00004000 // C60
+data8 0x827AE3A6B68ED0CA,0x00004001 // C70
+data8 0xB3F52A27EED23F0B,0x00004001 // C80
+data8 0x811A079FB3C94D79,0x00004002 // C90
+data8 0xCB94415470B6F8D2,0x00004002 // CA0
+data8 0x80A0260DCB3EC9AC,0x00004326 // An
+//[160; 161]
+data8 0x8BF24091E88B331D,0x00004000 // C50
+data8 0xB9ADE01187E65201,0x00004000 // C60
+data8 0xFAE4508F6E7625FE,0x00004000 // C70
+data8 0xAD516668AD6D7367,0x00004001 // C80
+data8 0xF8F5FF171154F637,0x00004001 // C90
+data8 0xC461321268990C82,0x00004002 // CA0
+data8 0xC3B693F344B0E6FE,0x0000439A // An
+//
+//[176; 177]
+data8 0x868545EB42A258ED,0x00004000 // C50
+data8 0xB2EF04ACE8BA0E6E,0x00004000 // C60
+data8 0xF247D22C22E69230,0x00004000 // C70
+data8 0xA7A1AB93E3981A90,0x00004001 // C80
+data8 0xF10951733E2C697F,0x00004001 // C90
+data8 0xBE3359BFAD128322,0x00004002 // CA0
+data8 0x8000000000000000,0x00003fff
+//
+//[160; 161] for negatives
+data8 0xA76DBD55B2E32D71,0x00003C63 // 1/An
+//
+// sin(pi*x)/pi
+data8 0xBCBC4342112F52A2,0x00003FDE // S21
+data8 0xFAFCECB86536F655,0x0000BFE3 // S19
+data8 0x87E4C97F9CF09B92,0x00003FE9 // S17
+data8 0xEA124C68E704C5CB,0x0000BFED // S15
+data8 0x9BA38CFD59C8AA1D,0x00003FF2 // S13
+data8 0x99C0B552303D5B21,0x0000BFF6 // S11
+//
+//[176; 177] for negatives
+data8 0xBA5D5869211696FF,0x00003BEC // 1/An
+//
+// sin(pi*x)/pi
+data8 0xD63402E79A853175,0x00003FF9 // S9
+data8 0xC354723906DB36BA,0x0000BFFC // S7
+data8 0xCFCE5A015E236291,0x00003FFE // S5
+data8 0xD28D3312983E9918,0x0000BFFF // S3
+//
+//
+// [1.0;1.25]
+data8 0xA405530B067ECD3C,0x0000BFFC // A15
+data8 0xF5B5413F95E1C282,0x00003FFD // A14
+data8 0xC4DED71C782F76C8,0x0000BFFE // A13
+data8 0xECF7DDDFD27C9223,0x00003FFE // A12
+data8 0xFB73D31793068463,0x0000BFFE // A11
+data8 0xFF173B7E66FD1D61,0x00003FFE // A10
+data8 0xFFA5EF3959089E94,0x0000BFFE // A9
+data8 0xFF8153BD42E71A4F,0x00003FFE // A8
+data8 0xFEF9CAEE2CB5B533,0x0000BFFE // A7
+data8 0xFE3F02E5EDB6811E,0x00003FFE // A6
+data8 0xFB64074CED2658FB,0x0000BFFE // A5
+data8 0xFB52882A095B18A4,0x00003FFE // A4
+data8 0xE8508C7990A0DAC0,0x0000BFFE // A3
+data8 0xFD32C611D8A881D0,0x00003FFE // A2
+data8 0x93C467E37DB0C536,0x0000BFFE // A1
+data8 0x8000000000000000,0x00003FFF // A0
+//
+// [1.25;1.5]
+data8 0xD038092400619677,0x0000BFF7 // A15
+data8 0xEA6DE925E6EB8C8F,0x00003FF3 // A14
+data8 0xC53F83645D4597FC,0x0000BFF7 // A13
+data8 0xE366DB2FB27B7ECD,0x00003FF7 // A12
+data8 0xAC8FD5E11F6EEAD8,0x0000BFF8 // A11
+data8 0xFB14010FB3697785,0x00003FF8 // A10
+data8 0xB6F91CB5C371177B,0x0000BFF9 // A9
+data8 0x85A262C6F8FEEF71,0x00003FFA // A8
+data8 0xC038E6E3261568F9,0x0000BFFA // A7
+data8 0x8F4BDE8883232364,0x00003FFB // A6
+data8 0xBCFBBD5786537E9A,0x0000BFFB // A5
+data8 0xA4C08BAF0A559479,0x00003FFC // A4
+data8 0x85D74FA063E81476,0x0000BFFC // A3
+data8 0xDB629FB9BBDC1C4E,0x00003FFD // A2
+data8 0xF4F8FBC7C0C9D317,0x00003FC6 // A1
+data8 0xE2B6E4153A57746C,0x00003FFE // A0
+//
+// [1.25;1.5]
+data8 0x9533F9D3723B448C,0x0000BFF2 // A15
+data8 0xF1F75D3C561CBBAF,0x00003FF5 // A14
+data8 0xBA55A9A1FC883523,0x0000BFF8 // A13
+data8 0xB5D5E9E5104FA995,0x00003FFA // A12
+data8 0xFD84F35B70CD9AE2,0x0000BFFB // A11
+data8 0x87445235F4688CC5,0x00003FFD // A10
+data8 0xE7F236EBFB9F774E,0x0000BFFD // A9
+data8 0xA6605F2721F787CE,0x00003FFE // A8
+data8 0xCF579312AD7EAD72,0x0000BFFE // A7
+data8 0xE96254A2407A5EAC,0x00003FFE // A6
+data8 0xF41312A8572ED346,0x0000BFFE // A5
+data8 0xF9535027C1B1F795,0x00003FFE // A4
+data8 0xE7E82D0C613A8DE4,0x0000BFFE // A3
+data8 0xFD23CD9741B460B8,0x00003FFE // A2
+data8 0x93C30FD9781DBA88,0x0000BFFE // A1
+data8 0xFFFFF1781FDBEE84,0x00003FFE // A0
+LOCAL_OBJECT_END(tgamma_data)
+
+
+//==============================================================
+// Code
+//==============================================================
+
+.section .text
+GLOBAL_LIBM_ENTRY(tgamma)
+{ .mfi
+      getf.exp      GR_Sign_Exp = f8
+      fma.s1        FR_1m2X = f8,f1,f8 // 2x
+      addl          GR_ad_Data = @ltoff(tgamma_data), gp
+}
+{ .mfi
+      mov           GR_ExpOf8 = 0x10002 // 8
+      fcvt.fx.trunc.s1 FR_iXt = f8 // [x]
+      mov           GR_ExpOf05 = 0xFFFE // 0.5
+};;
+{ .mfi
+      getf.sig      GR_Sig = f8
+      fma.s1        FR_2 = f1,f1,f1 // 2
+      mov           GR_Addr_Mask1 = 0x780
+}
+{ .mlx
+      setf.exp      FR_8 = GR_ExpOf8
+      movl          GR_10 = 0x4024000000000000
+};;
+{ .mfi
+      ld8           GR_ad_Data = [GR_ad_Data]
+      fcmp.lt.s1    p14,p15 = f8,f0
+      tbit.z        p12,p13 = GR_Sign_Exp,0x10 // p13 if x >= 2
+}
+{ .mlx
+      and           GR_Bit2 = 4,GR_Sign_Exp
+      movl          GR_12 = 0x4028000000000000
+};;
+{ .mfi
+      setf.d        FR_10 = GR_10
+      fma.s1        FR_r02 = f8,f1,f0
+      extr.u        GR_Tbl_Offs = GR_Sig,58,6
+}
+{ .mfi
+(p12) mov           GR_Addr_Mask1 = r0
+      fma.s1        FR_NormX = f8,f1,f0
+      cmp.ne        p8,p0 = GR_Bit2,r0
+};;
+{ .mfi
+(p8)  shladd        GR_Tbl_Offs = GR_Tbl_Offs,4,r0
+      fclass.m      p10,p0 =  f8,0x1E7 // Test x for NaTVal, NaN, +/-0, +/-INF
+      tbit.nz       p11,p0 = GR_Sign_Exp,1
+}
+{ .mlx
+      add           GR_Addr_Mask2 = GR_Addr_Mask1,GR_Addr_Mask1
+      movl          GR_14 = 0x402C000000000000
+};;
+.pred.rel "mutex",p14,p15
+{ .mfi
+      setf.d        FR_12 = GR_12
+(p14) fma.s1        FR_1m2X = f1,f1,FR_1m2X // RB=1-2|x|
+      tbit.nz       p8,p9 = GR_Sign_Exp,0
+}
+{ .mfi
+      ldfpd         FR_OvfBound,FR_Xmin = [GR_ad_Data],16
+(p15) fms.s1        FR_1m2X = f1,f1,FR_1m2X // RB=1-2|x|
+(p11) shladd        GR_Tbl_Offs = GR_Tbl_Offs,2,r0
+};;
+.pred.rel "mutex",p9,p8
+{ .mfi
+      setf.d        FR_14 = GR_14
+      fma.s1        FR_4 = FR_2,FR_2,f0
+(p8)  and           GR_Tbl_Offs = GR_Tbl_Offs, GR_Addr_Mask1
+}
+{ .mfi
+      setf.exp      FR_05 = GR_ExpOf05
+      fma.s1        FR_6 = FR_2,FR_2,FR_2
+(p9)  and           GR_Tbl_Offs = GR_Tbl_Offs, GR_Addr_Mask2
+};;
+.pred.rel "mutex",p9,p8
+{ .mfi
+(p8)  shladd        GR_ad_Co = GR_Tbl_Offs,1,GR_ad_Data
+      fcvt.xf       FR_Xt = FR_iXt // [x]
+(p15) tbit.z.unc    p11,p0 = GR_Sign_Exp,0x10 // p11 if 0 < x < 2
+}
+{ .mfi
+(p9)  add           GR_ad_Co = GR_ad_Data,GR_Tbl_Offs
+      fma.s1        FR_5 = FR_2,FR_2,f1
+(p15) cmp.lt.unc    p7,p6 = GR_ExpOf05,GR_Sign_Exp // p7 if 0 < x < 1
+};;
+{ .mfi
+      add           GR_ad_Ce = 16,GR_ad_Co
+(p11) frcpa.s1      FR_Rcp0,p0 = f1,f8
+      sub           GR_Tbl_Offs = GR_ad_Co,GR_ad_Data
+}
+{ .mfb
+      ldfe          FR_C01 = [GR_ad_Co],32
+(p7)  fms.s1        FR_r02 = FR_r02,f1,f1 
+      // jump if x is NaTVal, NaN, +/-0, +/-INF
+(p10) br.cond.spnt  tgamma_spec
+};;
+.pred.rel "mutex",p14,p15
+{ .mfi
+      ldfe          FR_C11 = [GR_ad_Ce],32
+(p14) fms.s1        FR_X2pX = f8,f8,f8 // RA=x^2+|x|
+      shr           GR_Tbl_Ind = GR_Tbl_Offs,8
+}
+{ .mfb
+      ldfe          FR_C21 = [GR_ad_Co],32
+(p15) fma.s1        FR_X2pX = f8,f8,f8 // RA=x^2+x
+      // jump if 0 < x < 2
+(p11) br.cond.spnt  tgamma_from_0_to_2
+};;
+{ .mfi
+      ldfe          FR_C31 = [GR_ad_Ce],32
+      fma.s1        FR_Rq2 = FR_2,f1,FR_1m2X  // 2 + B
+      cmp.ltu       p7,p0=0xB,GR_Tbl_Ind
+}
+{ .mfb
+      ldfe          FR_C41 = [GR_ad_Co],32
+      fma.s1        FR_Rq3 = FR_2,FR_2,FR_1m2X  // 4 + B
+      // jump if GR_Tbl_Ind > 11, i.e |x| is more than 192
+(p7)  br.cond.spnt  tgamma_spec_res
+};;
+{ .mfi
+      ldfe          FR_C51 = [GR_ad_Ce],32
+      fma.s1        FR_Rq4 = FR_6,f1,FR_1m2X  // 6 + B
+      shr           GR_Tbl_Offs = GR_Tbl_Offs,1
+}
+{ .mfi
+      ldfe          FR_C61 = [GR_ad_Co],32
+      fma.s1        FR_Rq5 = FR_4,FR_2,FR_1m2X // 8 + B
+      nop.i         0
+};;
+{ .mfi
+      ldfe          FR_C71 = [GR_ad_Ce],32
+(p14) fms.s1        FR_r = FR_Xt,f1,f8 // r = |x| - [|x|]
+      shr           GR_Tbl_16xInd = GR_Tbl_Offs,3
+}
+{ .mfi
+      ldfe          FR_C81 = [GR_ad_Co],32
+(p15) fms.s1        FR_r = f8,f1,FR_Xt // r = x - [x]
+      add           GR_ad_Data = 0xC00,GR_ad_Data
+};;
+{ .mfi
+      ldfe          FR_C91 = [GR_ad_Ce],32
+      fma.s1        FR_Rq6 = FR_5,FR_2,FR_1m2X  // 10 + B
+(p14) mov           GR_0x30033 = 0x30033
+}
+{ .mfi
+      ldfe          FR_CA1 = [GR_ad_Co],32
+      fma.s1        FR_Rq7 = FR_6,FR_2,FR_1m2X // 12 + B
+      sub           GR_Tbl_Offs = GR_Tbl_Offs,GR_Tbl_16xInd
+};;
+{ .mfi
+      ldfe          FR_C00 = [GR_ad_Ce],32
+      fma.s1        FR_Rq1 = FR_Rq1,FR_2,FR_X2pX // (x-1)*(x-2)
+(p13) cmp.eq.unc    p8,p0 = r0,GR_Tbl_16xInd // index is 0 i.e. arg from [2;16)
+}
+{ .mfi
+      ldfe          FR_C10 = [GR_ad_Co],32
+(p14) fms.s1        FR_AbsX = f0,f0,FR_NormX // absolute value of argument
+      add           GR_ad_Co7 = GR_ad_Data,GR_Tbl_Offs
+};;
+{ .mfi
+      ldfe          FR_C20 = [GR_ad_Ce],32
+      fma.s1        FR_Rq2 = FR_Rq2,FR_4,FR_X2pX // (x-3)*(x-4)
+      add           GR_ad_Ce7 = 16,GR_ad_Co7
+}
+{ .mfi
+      ldfe          FR_C30 = [GR_ad_Co],32
+      fma.s1        FR_Rq3 = FR_Rq3,FR_6,FR_X2pX // (x-5)*(x-6)
+      nop.i         0 
+};;
+{ .mfi
+      ldfe          FR_C40 = [GR_ad_Ce],32
+      fma.s1        FR_Rq4 = FR_Rq4,FR_8,FR_X2pX // (x-7)*(x-8)
+(p14) cmp.leu.unc   p7,p0 = GR_0x30033,GR_Sign_Exp
+}
+{ .mfb
+      ldfe          FR_C50 = [GR_ad_Co7],32
+      fma.s1        FR_Rq5 = FR_Rq5,FR_10,FR_X2pX // (x-9)*(x-10)
+      // jump if x is less or equal to -2^52, i.e. x is big negative integer
+(p7)  br.cond.spnt  tgamma_singularity
+};;
+{ .mfi
+      ldfe          FR_C60 = [GR_ad_Ce7],32
+      fma.s1        FR_C01 = FR_C01,f1,FR_r
+      add           GR_ad_Ce = 0x560,GR_ad_Data
+}
+{ .mfi
+      ldfe          FR_C70 = [GR_ad_Co7],32
+      fma.s1        FR_rs = f0,f0,FR_r // reduced arg for sin(pi*x)  
+      add           GR_ad_Co = 0x550,GR_ad_Data
+};;
+{ .mfi
+      ldfe          FR_C80 = [GR_ad_Ce7],32
+      fma.s1        FR_C11 = FR_C11,f1,FR_r
+      nop.i         0
+}
+{ .mfi
+      ldfe          FR_C90 = [GR_ad_Co7],32
+      fma.s1        FR_C21 = FR_C21,f1,FR_r
+      nop.i         0
+};;
+.pred.rel "mutex",p12,p13
+{ .mfi
+(p13) getf.sig      GR_iSig = FR_iXt
+      fcmp.lt.s1    p11,p0 = FR_05,FR_r
+      mov           GR_185 = 185
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_Rq6 = FR_Rq6,FR_12,FR_X2pX // (x-11)*(x-12)
+      nop.i         0
+};;
+{ .mfi
+      ldfe          FR_CA0 = [GR_ad_Ce7],32
+      fma.s1        FR_C31 = FR_C31,f1,FR_r
+(p12) mov           GR_iSig = 0
+}
+{ .mfi
+      ldfe          FR_An = [GR_ad_Co7],0x80
+      fma.s1        FR_C41 = FR_C41,f1,FR_r
+      nop.i         0
+};;
+{ .mfi
+(p14) getf.sig      GR_Sig = FR_r
+      fma.s1        FR_C51 = FR_C51,f1,FR_r
+(p14) sub           GR_iSig = r0,GR_iSig
+}
+{ .mfi
+      ldfe          FR_S21 = [GR_ad_Co],32
+      fma.s1        FR_C61 = FR_C61,f1,FR_r
+      nop.i         0
+};;
+{ .mfi
+      ldfe          FR_S19 = [GR_ad_Ce],32
+      fma.s1        FR_C71 = FR_C71,f1,FR_r
+      and           GR_SigRqLin = 0xF,GR_iSig
+}
+{ .mfi
+      ldfe          FR_S17 = [GR_ad_Co],32
+      fma.s1        FR_C81 = FR_C81,f1,FR_r
+      mov           GR_2 = 2
+};;
+{ .mfi
+(p14) ldfe          FR_InvAn = [GR_ad_Co7]
+      fma.s1        FR_C91 = FR_C91,f1,FR_r
+      // if significand of r is 0 tnan argument is negative integer
+(p14) cmp.eq.unc    p12,p0 = r0,GR_Sig
+}
+{ .mfb
+(p8)  sub           GR_SigRqLin = GR_SigRqLin,GR_2 // subtract 2 if 2 <= x < 16
+      fma.s1        FR_CA1 = FR_CA1,f1,FR_r
+      // jump if x is negative integer such that -2^52 < x < -185
+(p12) br.cond.spnt  tgamma_singularity
+};;
+{ .mfi
+      setf.sig      FR_Xt = GR_SigRqLin
+(p11) fms.s1        FR_rs = f1,f1,FR_r
+(p14) cmp.ltu.unc   p7,p0 = GR_185,GR_iSig
+}
+{ .mfb
+      ldfe          FR_S15 = [GR_ad_Ce],32
+      fma.s1        FR_Rq7 = FR_Rq7,FR_14,FR_X2pX // (x-13)*(x-14)
+      // jump if x is noninteger such that -2^52 < x < -185
+(p7)  br.cond.spnt  tgamma_underflow
+};;
+{ .mfi
+      ldfe          FR_S13 = [GR_ad_Co],48
+      fma.s1        FR_C01 = FR_C01,FR_r,FR_C00
+      and           GR_Sig2 = 0xE,GR_SigRqLin
+}
+{ .mfi
+      ldfe          FR_S11 = [GR_ad_Ce],48
+      fma.s1        FR_C11 = FR_C11,FR_r,FR_C10
+      nop.i         0
+};;
+{ .mfi
+      ldfe          FR_S9 = [GR_ad_Co],32
+      fma.s1        FR_C21 = FR_C21,FR_r,FR_C20
+      // should we mul by polynomial of recursion?
+      cmp.eq        p13,p12 = r0,GR_SigRqLin
+}
+{ .mfi
+      ldfe          FR_S7 = [GR_ad_Ce],32
+      fma.s1        FR_C31 = FR_C31,FR_r,FR_C30
+      nop.i         0
+};;
+{ .mfi
+      ldfe          FR_S5 = [GR_ad_Co],32
+      fma.s1        FR_C41 = FR_C41,FR_r,FR_C40
+      nop.i         0
+}
+{ .mfi
+      ldfe          FR_S3 = [GR_ad_Ce],32
+      fma.s1        FR_C51 = FR_C51,FR_r,FR_C50
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_C61 = FR_C61,FR_r,FR_C60
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_C71 = FR_C71,FR_r,FR_C70
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_C81 = FR_C81,FR_r,FR_C80
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_C91 = FR_C91,FR_r,FR_C90
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_CA1 = FR_CA1,FR_r,FR_CA0
+      nop.i         0
+}
+{ .mfi
+      nop.m         0 
+      fma.s1        FR_C01 = FR_C01,FR_C11,f0
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0 
+      fma.s1        FR_C21 = FR_C21,FR_C31,f0
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_rs2 = FR_rs,FR_rs,f0
+(p12) cmp.lt.unc    p7,p0 = 2,GR_Sig2 // should mul by FR_Rq2?
+};;
+{ .mfi
+      nop.m         0 
+      fma.s1        FR_C41 = FR_C41,FR_C51,f0
+      nop.i         0 
+}
+{ .mfi
+      nop.m         0
+(p7)  fma.s1        FR_Rq1 = FR_Rq1,FR_Rq2,f0
+(p12) cmp.lt.unc    p9,p0 = 6,GR_Sig2 // should mul by FR_Rq4?
+};;
+{ .mfi
+      nop.m         0 
+      fma.s1        FR_C61 = FR_C61,FR_C71,f0
+(p15) cmp.eq        p11,p0 = r0,r0
+}
+{ .mfi
+      nop.m         0
+(p9)  fma.s1        FR_Rq3 = FR_Rq3,FR_Rq4,f0
+(p12) cmp.lt.unc    p8,p0 = 10,GR_Sig2 // should mul by FR_Rq6?
+};;
+{ .mfi
+      nop.m         0 
+      fma.s1        FR_C81 = FR_C81,FR_C91,f0
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+(p8)  fma.s1        FR_Rq5 = FR_Rq5,FR_Rq6,f0
+(p14) cmp.ltu       p0,p11 = 0x9,GR_Tbl_Ind
+};;
+{ .mfi
+      nop.m         0 
+      fcvt.xf       FR_RqLin = FR_Xt  
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+(p11) fma.s1        FR_CA1 = FR_CA1,FR_An,f0
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_S21 = FR_S21,FR_rs2,FR_S19
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_S17 = FR_S17,FR_rs2,FR_S15
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0 
+      fma.s1        FR_C01 = FR_C01,FR_C21,f0
+      nop.i         0
+}
+{ .mfi
+      nop.m         0 
+      fma.s1        FR_rs4 = FR_rs2,FR_rs2,f0
+(p12) cmp.lt.unc    p8,p0 = 4,GR_Sig2 // should mul by FR_Rq3?
+};;
+{ .mfi
+      nop.m         0
+(p8)  fma.s1        FR_Rq1 = FR_Rq1,FR_Rq3,f0
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_S13 = FR_S13,FR_rs2,FR_S11
+(p12) cmp.lt.unc    p9,p0 = 12,GR_Sig2 // should mul by FR_Rq7?
+};;
+{ .mfi
+      nop.m         0 
+      fma.s1        FR_C41 = FR_C41,FR_C61,f0
+      nop.i         0
+}
+{ .mfi
+      nop.m         0 
+(p9)  fma.s1        FR_Rq5 = FR_Rq5,FR_Rq7,f0
+      nop.i         0 
+};;
+{ .mfi
+      nop.m         0 
+      fma.s1        FR_C81 = FR_C81,FR_CA1,f0
+      nop.i         0 
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_S9 = FR_S9,FR_rs2,FR_S7
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_S5 = FR_S5,FR_rs2,FR_S3
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_rs3 = FR_rs2,FR_rs,f0
+(p12) tbit.nz.unc   p6,p0 = GR_SigRqLin,0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_rs8 = FR_rs4,FR_rs4,f0
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_S21 = FR_S21,FR_rs4,FR_S17
+      mov           GR_ExpOf1 = 0x2FFFF
+}
+{ .mfi
+      nop.m         0 
+(p6)  fms.s1        FR_RqLin = FR_AbsX,f1,FR_RqLin
+(p12) cmp.lt.unc    p8,p0 = 8,GR_Sig2 // should mul by FR_Rq5?
+};;
+{ .mfi
+      nop.m         0 
+      fma.s1        FR_C01 = FR_C01,FR_C41,f0
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+(p8)  fma.s1        FR_Rq1 = FR_Rq1,FR_Rq5,f0
+(p14) cmp.gtu.unc   p7,p0 = GR_Sign_Exp,GR_ExpOf1
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_S13 = FR_S13,FR_rs4,FR_S9
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+(p7)  fma.s1        FR_C81 = FR_C81,FR_AbsX,f0
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+(p14) fma.s1        FR_AbsXp1 = f1,f1,FR_AbsX // |x|+1
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+(p15) fcmp.lt.unc.s1 p0,p10 = FR_AbsX,FR_OvfBound // x >= overflow_boundary 
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_rs7 = FR_rs4,FR_rs3,f0
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_S5 = FR_S5,FR_rs3,FR_rs
+      nop.i         0
+};;
+{ .mib
+(p14) cmp.lt        p13,p0 = r0,r0 // set p13 to 0 if x < 0
+(p12) cmp.eq.unc    p8,p9 = 1,GR_SigRqLin
+(p10) br.cond.spnt  tgamma_spec_res
+};;
+{ .mfi
+      getf.sig      GR_Sig = FR_iXt
+(p6)  fma.s1        FR_Rq1 = FR_Rq1,FR_RqLin,f0
+      // should we mul by polynomial of recursion?
+(p15) cmp.eq.unc    p0,p11 = r0,GR_SigRqLin
+}
+{ .mfb
+      nop.m         0 
+      fma.s1        FR_GAMMA = FR_C01,FR_C81,f0
+(p11) br.cond.spnt  tgamma_positives
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_S21 = FR_S21,FR_rs8,FR_S13
+      nop.i         0
+}
+{ .mfb
+      nop.m         0
+(p13) fma.d.s0      f8 = FR_C01,FR_C81,f0
+(p13) br.ret.spnt   b0
+};;
+.pred.rel "mutex",p8,p9
+{ .mfi
+      nop.m         0 
+(p9)  fma.s1        FR_GAMMA = FR_GAMMA,FR_Rq1,f0
+      tbit.z        p6,p7 = GR_Sig,0 // p6 if sin<0, p7 if sin>0
+}
+{ .mfi
+      nop.m         0 
+(p8)  fma.s1        FR_GAMMA = FR_GAMMA,FR_RqLin,f0
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_S21 = FR_S21,FR_rs7,FR_S5
+      nop.i         0
+};;
+.pred.rel "mutex",p6,p7
+{ .mfi
+      nop.m         0 
+(p6)  fnma.s1       FR_GAMMA = FR_GAMMA,FR_S21,f0 
+      nop.i         0 
+}
+{ .mfi
+      nop.m         0 
+(p7)  fma.s1        FR_GAMMA = FR_GAMMA,FR_S21,f0
+      mov           GR_Sig2 = 1
+};;
+{ .mfi
+      nop.m         0
+      frcpa.s1      FR_Rcp0,p0 = f1,FR_GAMMA
+      cmp.ltu       p13,p0 = GR_Sign_Exp,GR_ExpOf1
+};;
+// NR method: ineration #1
+{ .mfi
+(p13) getf.exp      GR_Sign_Exp = FR_AbsX
+      fnma.s1       FR_Rcp1 = FR_Rcp0,FR_GAMMA,f1 // t = 1 - r0*x
+(p13) shl           GR_Sig2 = GR_Sig2,63
+};;
+{ .mfi
+(p13) getf.sig      GR_Sig = FR_AbsX
+      nop.f         0
+(p13) mov           GR_NzOvfBound = 0xFBFF
+};;
+{ .mfi
+(p13) cmp.ltu.unc   p8,p0 = GR_Sign_Exp,GR_NzOvfBound // p8 <- overflow
+      nop.f         0
+(p13) cmp.eq.unc    p9,p0 = GR_Sign_Exp,GR_NzOvfBound
+};;
+{ .mfb
+      nop.m         0
+(p13) fma.d.s0      FR_X = f1,f1,f8 // set deno & inexact flags
+(p8)  br.cond.spnt  tgamma_ovf_near_0 //tgamma_neg_overflow
+};;
+{ .mib
+      nop.m         0
+(p9)  cmp.eq.unc    p8,p0 = GR_Sig,GR_Sig2
+(p8)  br.cond.spnt  tgamma_ovf_near_0_boundary //tgamma_neg_overflow
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_Rcp1 = FR_Rcp0,FR_Rcp1,FR_Rcp0
+      nop.i         0 
+};;
+// NR method: ineration #2
+{ .mfi
+      nop.m         0
+      fnma.s1       FR_Rcp2 = FR_Rcp1,FR_GAMMA,f1 // t = 1 - r1*x
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_Rcp2 = FR_Rcp1,FR_Rcp2,FR_Rcp1
+      nop.i         0
+};;
+// NR method: ineration #3
+{ .mfi
+      nop.m         0
+      fnma.s1       FR_Rcp3 = FR_Rcp2,FR_GAMMA,f1 // t = 1 - r2*x
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+(p13) fma.s1        FR_Rcp2 = FR_Rcp2,FR_AbsXp1,f0
+(p14) cmp.ltu       p10,p11 = 0x9,GR_Tbl_Ind
+};;
+.pred.rel "mutex",p10,p11
+{ .mfi
+      nop.m         0
+(p10) fma.s1        FR_GAMMA = FR_Rcp2,FR_Rcp3,FR_Rcp2
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+(p11) fma.d.s0      f8 = FR_Rcp2,FR_Rcp3,FR_Rcp2
+      nop.i         0
+};;
+{ .mfb
+      nop.m         0
+(p10) fma.d.s0      f8 = FR_GAMMA,FR_InvAn,f0
+      br.ret.sptk   b0
+};;
+
+
+// here if x >= 3
+//--------------------------------------------------------------------
+.align 32
+tgamma_positives:
+.pred.rel "mutex",p8,p9
+{ .mfi
+      nop.m         0 
+(p9)  fma.d.s0      f8 = FR_GAMMA,FR_Rq1,f0
+      nop.i         0
+}
+{ .mfb
+      nop.m         0 
+(p8)  fma.d.s0      f8 = FR_GAMMA,FR_RqLin,f0
+      br.ret.sptk   b0
+};;
+
+// here if 0 < x < 1
+//--------------------------------------------------------------------
+.align 32
+tgamma_from_0_to_2:
+{ .mfi
+      getf.exp      GR_Sign_Exp = FR_r02
+      fms.s1        FR_r = FR_r02,f1,FR_Xmin
+      mov           GR_ExpOf025 = 0xFFFD
+}
+{ .mfi
+      add           GR_ad_Co = 0x1200,GR_ad_Data
+(p6)  fnma.s1       FR_Rcp1 = FR_Rcp0,FR_NormX,f1  // t = 1 - r0*x
+(p6)  mov           GR_Sig2 = 1
+};;
+{ .mfi
+(p6)  getf.sig      GR_Sig = FR_NormX
+      nop.f         0 
+(p6)  shl           GR_Sig2 = GR_Sig2,63
+}
+{ .mfi
+      add           GR_ad_Ce = 0x1210,GR_ad_Data
+      nop.f         0
+(p6)  mov           GR_NzOvfBound = 0xFBFF
+};;
+{ .mfi
+      cmp.eq        p8,p0 = GR_Sign_Exp,GR_ExpOf05 // r02 >= 1/2 
+      nop.f         0
+      cmp.eq        p9,p10 = GR_Sign_Exp,GR_ExpOf025 // r02 >= 1/4 
+}
+{ .mfi
+(p6)  cmp.ltu.unc   p11,p0 = GR_Sign_Exp,GR_NzOvfBound // p11 <- overflow
+      nop.f         0
+(p6)  cmp.eq.unc    p12,p0 = GR_Sign_Exp,GR_NzOvfBound
+};;
+.pred.rel "mutex",p8,p9
+{ .mfi
+(p8)  add           GR_ad_Co = 0x200,GR_ad_Co
+(p6)  fma.d.s0      FR_X = f1,f1,f8 // set deno & inexact flags
+(p9)  add           GR_ad_Co = 0x100,GR_ad_Co
+}
+{ .mib
+(p8)  add           GR_ad_Ce = 0x200,GR_ad_Ce
+(p9)  add           GR_ad_Ce = 0x100,GR_ad_Ce
+(p11) br.cond.spnt  tgamma_ovf_near_0 //tgamma_spec_res
+};;
+{ .mfi
+      ldfe          FR_A15 = [GR_ad_Co],32 
+      nop.f         0
+(p12) cmp.eq.unc    p13,p0 = GR_Sig,GR_Sig2
+}
+{ .mfb
+      ldfe          FR_A14 = [GR_ad_Ce],32 
+      nop.f         0
+(p13) br.cond.spnt  tgamma_ovf_near_0_boundary //tgamma_spec_res
+};;
+{ .mfi
+      ldfe          FR_A13 = [GR_ad_Co],32 
+      nop.f         0
+      nop.i         0
+}
+{ .mfi
+      ldfe          FR_A12 = [GR_ad_Ce],32 
+      nop.f         0
+      nop.i         0
+};;
+.pred.rel "mutex",p9,p10
+{ .mfi
+      ldfe          FR_A11 = [GR_ad_Co],32 
+(p10) fma.s1        FR_r2 = FR_r02,FR_r02,f0 
+      nop.i         0
+}
+{ .mfi
+      ldfe          FR_A10 = [GR_ad_Ce],32 
+(p9)  fma.s1        FR_r2 = FR_r,FR_r,f0 
+      nop.i         0
+};;
+{ .mfi
+      ldfe          FR_A9 = [GR_ad_Co],32 
+(p6)  fma.s1        FR_Rcp1 = FR_Rcp0,FR_Rcp1,FR_Rcp0
+      nop.i         0
+}
+{ .mfi
+      ldfe          FR_A8 = [GR_ad_Ce],32 
+(p10) fma.s1        FR_r = f0,f0,FR_r02
+      nop.i         0
+};;
+{ .mfi
+      ldfe          FR_A7 = [GR_ad_Co],32 
+      nop.f         0
+      nop.i         0
+}
+{ .mfi
+      ldfe          FR_A6 = [GR_ad_Ce],32 
+      nop.f         0 
+      nop.i         0
+};;
+{ .mfi
+      ldfe          FR_A5 = [GR_ad_Co],32 
+      nop.f         0
+      nop.i         0
+}
+{ .mfi
+      ldfe          FR_A4 = [GR_ad_Ce],32 
+      nop.f         0
+      nop.i         0
+};;
+{ .mfi
+      ldfe          FR_A3 = [GR_ad_Co],32 
+      nop.f         0
+      nop.i         0
+}
+{ .mfi
+      ldfe          FR_A2 = [GR_ad_Ce],32 
+      nop.f         0
+      nop.i         0
+};;
+{ .mfi
+      ldfe          FR_A1 = [GR_ad_Co],32 
+      fma.s1        FR_r4 = FR_r2,FR_r2,f0 
+      nop.i         0
+}
+{ .mfi
+      ldfe          FR_A0 = [GR_ad_Ce],32 
+      nop.f         0
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+(p6)  fnma.s1       FR_Rcp2 = FR_Rcp1,FR_NormX,f1 // t = 1 - r1*x
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_A15 = FR_A15,FR_r,FR_A14
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_A11 = FR_A11,FR_r,FR_A10
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_r8 = FR_r4,FR_r4,f0 
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+(p6)  fma.s1        FR_Rcp2 = FR_Rcp1,FR_Rcp2,FR_Rcp1
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_A7 = FR_A7,FR_r,FR_A6
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_A3 = FR_A3,FR_r,FR_A2
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_A15 = FR_A15,FR_r,FR_A13
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_A11 = FR_A11,FR_r,FR_A9
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+(p6)  fnma.s1       FR_Rcp3 = FR_Rcp2,FR_NormX,f1 // t = 1 - r1*x
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_A7 = FR_A7,FR_r,FR_A5
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_A3 = FR_A3,FR_r,FR_A1
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_A15 = FR_A15,FR_r,FR_A12
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_A11 = FR_A11,FR_r,FR_A8
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+(p6)  fma.s1        FR_Rcp3 = FR_Rcp2,FR_Rcp3,FR_Rcp2
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_A7 = FR_A7,FR_r,FR_A4
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_A3 = FR_A3,FR_r,FR_A0
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_A15 = FR_A15,FR_r4,FR_A11
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_A7 = FR_A7,FR_r4,FR_A3
+      nop.i         0
+};;
+.pred.rel "mutex",p6,p7
+{ .mfi
+      nop.m         0 
+(p6)  fma.s1        FR_A15 = FR_A15,FR_r8,FR_A7
+      nop.i         0
+}
+{ .mfi
+      nop.m         0 
+(p7)  fma.d.s0      f8 = FR_A15,FR_r8,FR_A7
+      nop.i         0
+};;
+{ .mfb
+      nop.m         0 
+(p6)  fma.d.s0      f8 = FR_A15,FR_Rcp3,f0
+      br.ret.sptk   b0
+};;
+
+// overflow
+//--------------------------------------------------------------------
+.align 32
+tgamma_ovf_near_0_boundary:
+.pred.rel "mutex",p14,p15
+{ .mfi
+	  mov           GR_fpsr = ar.fpsr
+	  nop.f         0
+(p15) mov           r8 = 0x7ff
+}
+{ .mfi
+      nop.m         0
+      nop.f         0
+(p14) mov           r8 = 0xfff
+};;
+{ .mfi
+	  nop.m         0
+	  nop.f         0
+	  shl           r8 = r8,52 
+};;
+{ .mfi
+      sub           r8 = r8,r0,1
+      nop.f         0
+	  extr.u        GR_fpsr = GR_fpsr,10,2 // rounding mode
+};;
+.pred.rel "mutex",p14,p15
+{ .mfi
+      // set p8 to 0 in case of overflow and to 1 otherwise
+	  // for negative arg: 
+	  //    no overflow if rounding mode either Z or +Inf, i.e.
+	  //    GR_fpsr > 1
+(p14) cmp.lt        p8,p0 = 1,GR_fpsr
+      nop.f         0
+	  // for positive arg: 
+	  //    no overflow if rounding mode either Z or -Inf, i.e.
+	  //    (GR_fpsr & 1) == 0
+(p15) tbit.z        p0,p8 = GR_fpsr,0
+};;
+{ .mib
+(p8)  setf.d        f8 = r8 // set result to 0x7fefffffffffffff without
+                            // OVERFLOW flag raising
+      nop.i         0
+(p8)  br.ret.sptk   b0
+};;
+.align 32
+tgamma_ovf_near_0:
+{ .mfi
+      mov           r8 = 0x1FFFE
+      nop.f         0  
+      nop.i         0
+};;
+{ .mfi
+      setf.exp      f9 = r8
+      fmerge.s      FR_X = f8,f8
+      mov           GR_TAG = 258 // overflow
+};;
+.pred.rel "mutex",p14,p15
+{ .mfi
+      nop.m         0 
+(p15) fma.d.s0      f8 = f9,f9,f0 // Set I,O and +INF result
+      nop.i         0 
+}
+{ .mfb
+      nop.m         0 
+(p14) fnma.d.s0     f8 = f9,f9,f0 // Set I,O and -INF result
+      br.cond.sptk  tgamma_libm_err
+};;
+// overflow or absolute value of x is too big
+//--------------------------------------------------------------------
+.align 32
+tgamma_spec_res:
+{ .mfi
+      mov           GR_0x30033 = 0x30033
+(p14) fcmp.eq.unc.s1 p10,p11 = f8,FR_Xt
+(p15) mov           r8 = 0x1FFFE
+};;
+{ .mfi
+(p15) setf.exp      f9 = r8
+      nop.f         0
+      nop.i         0
+};;
+{ .mfb
+(p11) cmp.ltu.unc   p7,p8 = GR_0x30033,GR_Sign_Exp
+      nop.f         0 
+(p10) br.cond.spnt  tgamma_singularity
+};;
+.pred.rel "mutex",p7,p8
+{ .mbb
+      nop.m         0
+(p7)  br.cond.spnt  tgamma_singularity
+(p8)  br.cond.spnt  tgamma_underflow
+};;
+{ .mfi
+      nop.m         0
+      fmerge.s      FR_X = f8,f8
+      mov           GR_TAG = 258 // overflow
+}
+{ .mfb
+      nop.m         0 
+(p15) fma.d.s0      f8 = f9,f9,f0 // Set I,O and +INF result
+      br.cond.sptk  tgamma_libm_err
+};;
+
+// x is negative integer or +/-0
+//--------------------------------------------------------------------
+.align 32
+tgamma_singularity:
+{ .mfi
+      nop.m         0
+      fmerge.s      FR_X = f8,f8
+      mov           GR_TAG = 259 // negative
+}
+{ .mfb
+      nop.m         0
+      frcpa.s0      f8,p0 = f0,f0
+      br.cond.sptk  tgamma_libm_err
+};;
+// x is negative noninteger with big absolute value
+//--------------------------------------------------------------------
+.align 32
+tgamma_underflow:
+{ .mmi
+      getf.sig      GR_Sig = FR_iXt
+      mov           r11 = 0x00001
+      nop.i         0
+};;
+{ .mfi
+      setf.exp      f9 = r11
+      nop.f         0
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      nop.f         0
+      tbit.z        p6,p7 = GR_Sig,0
+};;
+.pred.rel "mutex",p6,p7
+{ .mfi
+      nop.m         0
+(p6)  fms.d.s0      f8 = f9,f9,f9
+      nop.i         0
+}
+{ .mfb
+      nop.m         0
+(p7)  fma.d.s0      f8 = f9,f9,f9
+      br.ret.sptk   b0
+};;
+
+//  x for natval, nan, +/-inf or +/-0
+//--------------------------------------------------------------------
+.align 32
+tgamma_spec:
+{ .mfi
+      nop.m         0
+      fclass.m      p6,p0 =  f8,0x1E1 // Test x for natval, nan, +inf
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fclass.m      p7,p8 =  f8,0x7 // +/-0
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fmerge.s      FR_X = f8,f8
+      nop.i         0
+}
+{ .mfb
+      nop.m         0
+(p6)  fma.d.s0      f8 = f8,f1,f8
+(p6)  br.ret.spnt   b0
+};;
+.pred.rel "mutex",p7,p8
+{ .mfi
+(p7)  mov           GR_TAG = 259 // negative
+(p7)  frcpa.s0      f8,p0 = f1,f8
+      nop.i         0 
+}
+{ .mib
+      nop.m         0
+      nop.i         0
+(p8)  br.cond.spnt  tgamma_singularity
+};;
+
+.align 32
+tgamma_libm_err:
+{ .mfi
+       alloc        r32 = ar.pfs,1,4,4,0
+       nop.f        0
+       mov          GR_Parameter_TAG = GR_TAG
+};;
+
+GLOBAL_LIBM_END(tgamma)
+LOCAL_LIBM_ENTRY(__libm_error_region)
+.prologue
+{ .mfi
+        add   GR_Parameter_Y=-32,sp             // Parameter 2 value
+        nop.f 0
+.save   ar.pfs,GR_SAVE_PFS
+        mov  GR_SAVE_PFS=ar.pfs                 // Save ar.pfs 
+}
+{ .mfi
+.fframe 64 
+        add sp=-64,sp                           // Create new stack
+        nop.f 0
+        mov GR_SAVE_GP=gp                       // Save gp
+};;
+{ .mmi
+        stfd [GR_Parameter_Y] = FR_Y,16         // STORE Parameter 2 on stack
+        add GR_Parameter_X = 16,sp              // Parameter 1 address
+.save   b0, GR_SAVE_B0                      
+        mov GR_SAVE_B0=b0                       // Save b0 
+};;
+.body
+{ .mib
+        stfd [GR_Parameter_X] = FR_X                  // STORE Parameter 1 on stack 
+        add   GR_Parameter_RESULT = 0,GR_Parameter_Y  // Parameter 3 address 
+        nop.b 0
+}
+{ .mib
+        stfd [GR_Parameter_Y] = FR_RESULT             // STORE Parameter 3 on stack
+        add   GR_Parameter_Y = -16,GR_Parameter_Y  
+        br.call.sptk b0=__libm_error_support#         // Call error handling function
+};;
+{ .mmi
+        nop.m 0
+        nop.m 0
+        add   GR_Parameter_RESULT = 48,sp
+};;
+{ .mmi
+        ldfd  f8 = [GR_Parameter_RESULT]       // Get return result off stack
+.restore sp
+        add   sp = 64,sp                       // Restore stack pointer
+        mov   b0 = GR_SAVE_B0                  // Restore return address
+};;
+{ .mib
+        mov   gp = GR_SAVE_GP                  // Restore gp 
+        mov   ar.pfs = GR_SAVE_PFS             // Restore ar.pfs
+        br.ret.sptk     b0                     // Return
+};; 
+
+LOCAL_LIBM_END(__libm_error_region)
+.type   __libm_error_support#,@function
+.global __libm_error_support#
+
diff --git a/sysdeps/ia64/fpu/w_tgammaf.S b/sysdeps/ia64/fpu/w_tgammaf.S
new file mode 100644
index 0000000000..4363ca27b8
--- /dev/null
+++ b/sysdeps/ia64/fpu/w_tgammaf.S
@@ -0,0 +1,1328 @@
+.file "tgammaf.s"
+
+
+// Copyright (c) 2001 - 2003, Intel Corporation
+// All rights reserved.
+//
+// Contributed 2001 by the Intel Numerics Group, Intel Corporation
+//
+// Redistribution and use in source and binary forms, with or without
+// modification, are permitted provided that the following conditions are
+// met:
+//
+// * Redistributions of source code must retain the above copyright
+// notice, this list of conditions and the following disclaimer.
+//
+// * Redistributions in binary form must reproduce the above copyright
+// notice, this list of conditions and the following disclaimer in the
+// documentation and/or other materials provided with the distribution.
+//
+// * The name of Intel Corporation may not be used to endorse or promote
+// products derived from this software without specific prior written
+// permission.
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES,INCLUDING,BUT NOT 
+// LIMITED TO,THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS 
+// CONTRIBUTORS BE LIABLE FOR ANY DIRECT,INDIRECT,INCIDENTAL,SPECIAL,
+// EXEMPLARY,OR CONSEQUENTIAL DAMAGES (INCLUDING,BUT NOT LIMITED TO,
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,DATA,OR 
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY 
+// OF LIABILITY,WHETHER IN CONTRACT,STRICT LIABILITY OR TORT (INCLUDING
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 
+// SOFTWARE,EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 
+// 
+// Intel Corporation is the author of this code,and requests that all
+// problem reports or change requests be submitted to it directly at 
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
+//
+//*********************************************************************
+//
+// History: 
+// 11/30/01  Initial version
+// 05/20/02  Cleaned up namespace and sf0 syntax
+// 02/10/03  Reordered header: .section, .global, .proc, .align
+// 04/04/03  Changed error codes for overflow and negative integers
+// 04/10/03  Changed code for overflow near zero handling
+//
+//*********************************************************************
+//
+//*********************************************************************
+//
+// Function: tgammaf(x) computes the principle value of the GAMMA
+// function of x.
+//
+//*********************************************************************
+//
+// Resources Used:
+//
+//    Floating-Point Registers: f8-f15
+//                              f33-f75
+//
+//    General Purpose Registers:
+//      r8-r11
+//      r14-r29
+//      r32-r36
+//      r37-r40 (Used to pass arguments to error handling routine)
+//
+//    Predicate Registers:      p6-p15
+//
+//*********************************************************************
+//
+// IEEE Special Conditions:
+//
+//    tgammaf(+inf) = +inf
+//    tgammaf(-inf) = QNaN 
+//    tgammaf(+/-0) = +/-inf 
+//    tgammaf(x<0, x - integer) = QNaN
+//    tgammaf(SNaN) = QNaN
+//    tgammaf(QNaN) = QNaN
+//
+//*********************************************************************
+//
+// Overview
+//
+// The method consists of three cases.
+// 
+// If       2 <= x < OVERFLOW_BOUNDARY   use case tgamma_regular;
+// else if  0 < x < 2                    use case tgamma_from_0_to_2;
+// else if  -(i+1) <  x < -i, i = 0...43 use case tgamma_negatives;
+//
+// Case 2 <= x < OVERFLOW_BOUNDARY
+// -------------------------------
+//   Here we use algorithm based on the recursive formula
+//   GAMMA(x+1) = x*GAMMA(x). For that we subdivide interval
+//   [2; OVERFLOW_BOUNDARY] into intervals [8*n; 8*(n+1)] and
+//   approximate GAMMA(x) by polynomial of 22th degree on each
+//   [8*n; 8*n+1], recursive formula is used to expand GAMMA(x)
+//   to [8*n; 8*n+1]. In other words we need to find n, i and r
+//   such that x = 8 * n + i + r where n and i are integer numbers
+//   and r is fractional part of x. So GAMMA(x) = GAMMA(8*n+i+r) =
+//   = (x-1)*(x-2)*...*(x-i)*GAMMA(x-i) =
+//   = (x-1)*(x-2)*...*(x-i)*GAMMA(8*n+r) ~
+//   ~ (x-1)*(x-2)*...*(x-i)*P12n(r).
+//
+//   Step 1: Reduction
+//   -----------------
+//    N = [x] with truncate
+//    r = x - N, note 0 <= r < 1
+//
+//    n = N & ~0xF - index of table that contains coefficient of
+//                   polynomial approximation 
+//    i = N & 0xF  - is used in recursive formula
+//   
+//
+//   Step 2: Approximation
+//   ---------------------
+//    We use factorized minimax approximation polynomials
+//    P12n(r) = A12*(r^2+C01(n)*r+C00(n))*
+//              *(r^2+C11(n)*r+C10(n))*...*(r^2+C51(n)*r+C50(n))
+//
+//   Step 3: Recursion
+//   -----------------
+//    In case when i > 0 we need to multiply P12n(r) by product
+//    R(i,x)=(x-1)*(x-2)*...*(x-i). To reduce number of fp-instructions
+//    we can calculate R as follow:  
+//    R(i,x) = ((x-1)*(x-2))*((x-3)*(x-4))*...*((x-(i-1))*(x-i)) if i is
+//    even or R = ((x-1)*(x-2))*((x-3)*(x-4))*...*((x-(i-2))*(x-(i-1)))*
+//    *(i-1) if i is odd. In both cases we need to calculate
+//    R2(i,x) = (x^2-3*x+2)*(x^2-7*x+12)*...*(x^2+x+2*j*(2*j-1)) =
+//    = ((x^2-x)+2*(1-x))*((x^2-x)+6*(2-x))*...*((x^2-x)+2*(2*j-1)*(j-x)) =
+//    = (RA+2*RB)*(RA+6*(1-RB))*...*(RA+2*(2*j-1)*(j-1+RB))
+//    where j = 1..[i/2], RA = x^2-x, RB = 1-x.
+//
+//   Step 4: Reconstruction
+//   ----------------------
+//    Reconstruction is just simple multiplication i.e.
+//    GAMMA(x) = P12n(r)*R(i,x)
+//
+// Case 0 < x < 2
+// --------------
+//    To calculate GAMMA(x) on this interval we do following
+//        if 1.0  <= x < 1.25  than  GAMMA(x) = P7(x-1)
+//        if 1.25 <= x < 1.5   than  GAMMA(x) = P7(x-x_min) where
+//              x_min is point of local minimum on [1; 2] interval.
+//        if 1.5  <= x < 1.75  than  GAMMA(x) = P7(x-1.5)
+//        if 1.75 <= x < 2.0   than  GAMMA(x) = P7(x-1.5)
+//    and      
+//        if 0 < x < 1 than GAMMA(x) = GAMMA(x+1)/x
+//
+// Case -(i+1) <  x < -i, i = 0...43
+// ----------------------------------
+//    Here we use the fact that GAMMA(-x) = PI/(x*GAMMA(x)*sin(PI*x)) and
+//    so we need to calculate GAMMA(x), sin(PI*x)/PI. Calculation of
+//    GAMMA(x) is described above.
+//
+//   Step 1: Reduction
+//   -----------------
+//    Note that period of sin(PI*x) is 2 and range reduction for 
+//    sin(PI*x) is like to range reduction for GAMMA(x) 
+//    i.e rs = x - round(x) and |rs| <= 0.5.
+//
+//   Step 2: Approximation
+//   ---------------------
+//    To approximate sin(PI*x)/PI = sin(PI*(2*n+rs))/PI = 
+//    = (-1)^n*sin(PI*rs)/PI Taylor series is used.
+//    sin(PI*rs)/PI ~ S17(rs).
+//
+//   Step 3: Division
+//   ----------------
+//    To calculate 1/x and 1/(GAMMA(x)*S12(rs)) we use frcpa
+//    instruction with following Newton-Raphson interations.
+//  
+//
+//*********************************************************************
+
+GR_ad_Data              = r8
+GR_TAG                  = r8
+GR_SignExp              = r9
+GR_Sig                  = r10
+GR_ArgNz                = r10
+GR_RqDeg                = r11
+
+GR_NanBound             = r14
+GR_ExpOf025             = r15
+GR_ExpOf05              = r16
+GR_ad_Co                = r17
+GR_ad_Ce                = r18
+GR_TblOffs              = r19
+GR_Arg                  = r20
+GR_Exp2Ind              = r21
+GR_TblOffsMask          = r21
+GR_Offs                 = r22
+GR_OvfNzBound           = r23
+GR_ZeroResBound         = r24
+GR_ad_SinO              = r25
+GR_ad_SinE              = r26
+GR_Correction           = r27
+GR_Tbl12Offs            = r28
+GR_NzBound              = r28
+GR_ExpOf1               = r29
+GR_fpsr                 = r29
+
+GR_SAVE_B0              = r33
+GR_SAVE_PFS             = r34
+GR_SAVE_GP              = r35
+GR_SAVE_SP              = r36
+
+GR_Parameter_X          = r37
+GR_Parameter_Y          = r38
+GR_Parameter_RESULT     = r39
+GR_Parameter_TAG        = r40
+
+
+FR_X                    = f10
+FR_Y                    = f1
+FR_RESULT               = f8
+
+FR_iXt                  = f11 
+FR_Xt                   = f12
+FR_r                    = f13
+FR_r2                   = f14
+FR_r4                   = f15
+
+FR_C01                  = f33
+FR_A7                   = f33
+FR_C11                  = f34
+FR_A6                   = f34
+FR_C21                  = f35
+FR_A5                   = f35
+FR_C31                  = f36
+FR_A4                   = f36
+FR_C41                  = f37
+FR_A3                   = f37
+FR_C51                  = f38
+FR_A2                   = f38
+
+FR_C00                  = f39
+FR_A1                   = f39
+FR_C10                  = f40
+FR_A0                   = f40
+FR_C20                  = f41
+FR_C30                  = f42
+FR_C40                  = f43
+FR_C50                  = f44
+FR_An                   = f45
+FR_OvfBound             = f46
+FR_InvAn                = f47
+
+FR_Multplr              = f48
+FR_NormX                = f49
+FR_X2mX                 = f50
+FR_1mX                  = f51
+FR_Rq0                  = f51
+FR_Rq1                  = f52
+FR_Rq2                  = f53
+FR_Rq3                  = f54
+
+FR_Rcp0                 = f55
+FR_Rcp1                 = f56
+FR_Rcp2                 = f57
+
+FR_InvNormX1            = f58
+FR_InvNormX2            = f59
+
+FR_rs                   = f60
+FR_rs2                  = f61
+
+FR_LocalMin             = f62
+FR_10                   = f63
+
+FR_05                   = f64
+
+FR_S32                  = f65
+FR_S31                  = f66
+FR_S01                  = f67
+FR_S11                  = f68
+FR_S21                  = f69
+FR_S00                  = f70
+FR_S10                  = f71
+FR_S20                  = f72
+
+FR_GAMMA                = f73
+FR_2                    = f74
+FR_6                    = f75
+
+
+
+
+// Data tables
+//==============================================================
+RODATA
+.align 16
+LOCAL_OBJECT_START(tgammaf_data)
+data8 0x3FDD8B618D5AF8FE // local minimum (0.461632144968362356785)
+data8 0x4024000000000000 // 10.0
+data8 0x3E90FC992FF39E13 // S32
+data8 0xBEC144B2760626E2 // S31
+//
+//[2; 8)
+data8 0x4009EFD1BA0CB3B4 // C01
+data8 0x3FFFB35378FF4822 // C11
+data8 0xC01032270413B896 // C41
+data8 0xC01F171A4C0D6827 // C51
+data8 0x40148F8E197396AC // C20
+data8 0x401C601959F1249C // C30
+data8 0x3EE21AD881741977 // An
+data8 0x4041852200000000 // overflow boundary (35.04010009765625)
+data8 0x3FD9CE68F695B198 // C21
+data8 0xBFF8C30AC900DA03 // C31
+data8 0x400E17D2F0535C02 // C00
+data8 0x4010689240F7FAC8 // C10
+data8 0x402563147DDCCF8D // C40
+data8 0x4033406D0480A21C // C50
+//
+//[8; 16)
+data8 0x4006222BAE0B793B // C01
+data8 0x4002452733473EDA // C11
+data8 0xC0010EF3326FDDB3 // C41
+data8 0xC01492B817F99C0F // C51
+data8 0x40099C905A249B75 // C20
+data8 0x4012B972AE0E533D // C30
+data8 0x3FE6F6DB91D0D4CC // An
+data8 0x4041852200000000 // overflow boundary
+data8 0x3FF545828F7B73C5 // C21
+data8 0xBFBBD210578764DF // C31
+data8 0x4000542098F53CFC // C00
+data8 0x40032C1309AD6C81 // C10
+data8 0x401D7331E19BD2E1 // C40
+data8 0x402A06807295EF57 // C50
+//
+//[16; 24)
+data8 0x4000131002867596 // C01
+data8 0x3FFAA362D5D1B6F2 // C11
+data8 0xBFFCB6985697DB6D // C41
+data8 0xC0115BEE3BFC3B3B // C51
+data8 0x3FFE62FF83456F73 // C20
+data8 0x4007E33478A114C4 // C30
+data8 0x41E9B2B73795ED57 // An
+data8 0x4041852200000000 // overflow boundary
+data8 0x3FEEB1F345BC2769 // C21
+data8 0xBFC3BBE6E7F3316F // C31
+data8 0x3FF14E07DA5E9983 // C00
+data8 0x3FF53B76BF81E2C0 // C10
+data8 0x4014051E0269A3DC // C40
+data8 0x40229D4227468EDB // C50
+//
+//[24; 32)
+data8 0x3FFAF7BD498384DE // C01
+data8 0x3FF62AD8B4D1C3D2 // C11
+data8 0xBFFABCADCD004C32 // C41
+data8 0xC00FADE97C097EC9 // C51
+data8 0x3FF6DA9ED737707E // C20
+data8 0x4002A29E9E0C782C // C30
+data8 0x44329D5B5167C6C3 // An
+data8 0x4041852200000000 // overflow boundary
+data8 0x3FE8943CBBB4B727 // C21
+data8 0xBFCB39D466E11756 // C31
+data8 0x3FE879AF3243D8C1 // C00
+data8 0x3FEEC7DEBB14CE1E // C10
+data8 0x401017B79BA80BCB // C40
+data8 0x401E941DC3C4DE80 // C50
+//
+//[32; 40)
+data8 0x3FF7ECB3A0E8FE5C // C01
+data8 0x3FF3815A8516316B // C11
+data8 0xBFF9ABD8FCC000C3 // C41
+data8 0xC00DD89969A4195B // C51
+data8 0x3FF2E43139CBF563 // C20
+data8 0x3FFF96DC3474A606 // C30
+data8 0x46AFF4CA9B0DDDF0 // An
+data8 0x4041852200000000 // overflow boundary
+data8 0x3FE4CE76DA1B5783 // C21
+data8 0xBFD0524DB460BC4E // C31
+data8 0x3FE35852DF14E200 // C00
+data8 0x3FE8C7610359F642 // C10
+data8 0x400BCF750EC16173 // C40
+data8 0x401AC14E02EA701C // C50
+//
+//[40; 48)
+data8 0x3FF5DCE4D8193097 // C01
+data8 0x3FF1B0D8C4974FFA // C11
+data8 0xBFF8FB450194CAEA // C41
+data8 0xC00C9658E030A6C4 // C51
+data8 0x3FF068851118AB46 // C20
+data8 0x3FFBF7C7BB46BF7D // C30
+data8 0x3FF0000000000000 // An
+data8 0x4041852200000000 // overflow boundary
+data8 0x3FE231DEB11D847A // C21
+data8 0xBFD251ECAFD7E935 // C31
+data8 0x3FE0368AE288F6BF // C00
+data8 0x3FE513AE4215A70C // C10
+data8 0x4008F960F7141B8B // C40
+data8 0x40183BA08134397B // C50
+//
+//[1.0; 1.25)
+data8 0xBFD9909648921868 // A7
+data8 0x3FE96FFEEEA8520F // A6
+data8 0xBFED0800D93449B8 // A3
+data8 0x3FEFA648D144911C // A2
+data8 0xBFEE3720F7720B4D // A5
+data8 0x3FEF4857A010CA3B // A4
+data8 0xBFE2788CCD545AA4 // A1
+data8 0x3FEFFFFFFFE9209E // A0
+//
+//[1.25; 1.5)
+data8 0xBFB421236426936C // A7
+data8 0x3FAF237514F36691 // A6
+data8 0xBFC0BADE710A10B9 // A3
+data8 0x3FDB6C5465BBEF1F // A2
+data8 0xBFB7E7F83A546EBE // A5
+data8 0x3FC496A01A545163 // A4
+data8 0xBDEE86A39D8452EB // A1
+data8 0x3FEC56DC82A39AA2 // A0
+//
+//[1.5; 1.75)
+data8 0xBF94730B51795867 // A7
+data8 0x3FBF4203E3816C7B // A6
+data8 0xBFE85B427DBD23E4 // A3
+data8 0x3FEE65557AB26771 // A2
+data8 0xBFD59D31BE3AB42A // A5
+data8 0x3FE3C90CC8F09147 // A4
+data8 0xBFE245971DF735B8 // A1
+data8 0x3FEFFC613AE7FBC8 // A0
+//
+//[1.75; 2.0)
+data8 0xBF7746A85137617E // A7
+data8 0x3FA96E37D09735F3 // A6
+data8 0xBFE3C24AC40AC0BB // A3
+data8 0x3FEC56A80A977CA5 // A2
+data8 0xBFC6F0E707560916 // A5
+data8 0x3FDB262D949175BE // A4
+data8 0xBFE1C1AEDFB25495 // A1
+data8 0x3FEFEE1E644B2022 // A0
+//
+// sin(pi*x)/pi
+data8 0xC026FB0D377656CC // S01
+data8 0x3FFFB15F95A22324 // S11
+data8 0x406CE58F4A41C6E7 // S10
+data8 0x404453786302C61E // S20
+data8 0xC023D59A47DBFCD3 // S21
+data8 0x405541D7ABECEFCA // S00
+//
+// 1/An for [40; 48)
+data8 0xCAA7576DE621FCD5, 0x3F68
+LOCAL_OBJECT_END(tgammaf_data)
+
+//==============================================================
+// Code
+//==============================================================
+
+.section .text
+GLOBAL_LIBM_ENTRY(tgammaf)
+{ .mfi
+      getf.exp      GR_SignExp = f8
+      fma.s1        FR_NormX = f8,f1,f0
+      addl          GR_ad_Data = @ltoff(tgammaf_data), gp
+}
+{ .mfi
+      mov           GR_ExpOf05 = 0xFFFE
+      fcvt.fx.trunc.s1 FR_iXt = f8 // [x]
+      mov           GR_Offs = 0 // 2 <= x < 8
+};;
+{ .mfi
+      getf.d        GR_Arg = f8
+      fcmp.lt.s1    p14,p15 = f8,f0
+      mov           GR_Tbl12Offs = 0
+}
+{ .mfi
+      setf.exp      FR_05 = GR_ExpOf05
+      fma.s1        FR_2 = f1,f1,f1 // 2
+      mov           GR_Correction = 0
+};;
+{ .mfi
+      ld8           GR_ad_Data = [GR_ad_Data]
+      fclass.m      p10,p0 = f8,0x1E7 // is x  NaTVal, NaN, +/-0 or +/-INF?
+      tbit.z        p12,p13 = GR_SignExp,16 // p13 if |x| >= 2
+}
+{ .mfi
+      mov           GR_ExpOf1 = 0xFFFF
+      fcvt.fx.s1    FR_rs = f8 // round(x)
+      and           GR_Exp2Ind = 7,GR_SignExp
+};;
+.pred.rel "mutex",p14,p15
+{ .mfi
+(p15) cmp.eq.unc    p11,p0 = GR_ExpOf1,GR_SignExp // p11 if 1 <= x < 2
+(p14) fma.s1        FR_1mX = f1,f1,f8 // 1 - |x|
+      mov           GR_Sig = 0 // if |x| < 2
+}
+{ .mfi
+(p13) cmp.eq.unc    p7,p0 = 2,GR_Exp2Ind
+(p15) fms.s1        FR_1mX = f1,f1,f8 // 1 - |x|
+(p13) cmp.eq.unc    p8,p0 = 3,GR_Exp2Ind
+};;
+.pred.rel "mutex",p7,p8
+{ .mfi
+(p7)  mov           GR_Offs = 0x7    // 8 <= |x| < 16
+      nop.f         0
+(p8)  tbit.z.unc    p0,p6 = GR_Arg,51
+}
+{ .mib
+(p13) cmp.lt.unc    p9,p0 = 3,GR_Exp2Ind
+(p8)  mov           GR_Offs = 0xE // 16 <= |x| < 32
+      // jump if x is NaTVal, NaN, +/-0 or +/-INF?
+(p10) br.cond.spnt  tgammaf_spec_args
+};;
+.pred.rel "mutex",p14,p15
+.pred.rel "mutex",p6,p9
+{ .mfi
+(p9)  mov           GR_Offs = 0x1C // 32 <= |x|
+(p14) fma.s1        FR_X2mX = FR_NormX,FR_NormX,FR_NormX // x^2-|x|
+(p9)  tbit.z.unc    p0,p8 = GR_Arg,50
+}
+{ .mfi
+      ldfpd         FR_LocalMin,FR_10 = [GR_ad_Data],16
+(p15) fms.s1        FR_X2mX = FR_NormX,FR_NormX,FR_NormX // x^2-|x|
+(p6)  add           GR_Offs = 0x7,GR_Offs // 24 <= x < 32
+};;
+.pred.rel "mutex",p8,p12
+{ .mfi
+      add           GR_ad_Ce = 0x50,GR_ad_Data
+(p15) fcmp.lt.unc.s1 p10,p0 = f8,f1 // p10 if 0 <= x < 1
+      mov           GR_OvfNzBound = 2
+}
+{ .mib
+      ldfpd         FR_S32,FR_S31 = [GR_ad_Data],16
+(p8)  add           GR_Offs = 0x7,GR_Offs // 40 <= |x|
+      // jump if 1 <= x < 2
+(p11) br.cond.spnt  tgammaf_from_1_to_2
+};;
+{ .mfi
+      shladd        GR_ad_Ce = GR_Offs,4,GR_ad_Ce
+      fcvt.xf       FR_Xt = FR_iXt // [x]
+(p13) cmp.eq.unc    p7,p0 = r0,GR_Offs // p7 if 2 <= |x| < 8
+}
+{ .mfi
+      shladd        GR_ad_Co = GR_Offs,4,GR_ad_Data
+      fma.s1        FR_6 = FR_2,FR_2,FR_2
+      mov           GR_ExpOf05 = 0x7FC
+};;
+{ .mfi
+(p13) getf.sig      GR_Sig = FR_iXt // if |x| >= 2
+      frcpa.s1      FR_Rcp0,p0 = f1,FR_NormX
+(p10) shr           GR_Arg = GR_Arg,51
+}
+{ .mib
+      ldfpd         FR_C01,FR_C11 = [GR_ad_Co],16
+(p7)  mov           GR_Correction = 2
+      // jump if 0 < x < 1
+(p10) br.cond.spnt  tgammaf_from_0_to_1
+};;
+{ .mfi
+      ldfpd         FR_C21,FR_C31 = [GR_ad_Ce],16
+      fma.s1        FR_Rq2 = f1,f1,FR_1mX // 2 - |x|
+(p14) sub           GR_Correction = r0,GR_Correction
+}
+{ .mfi
+      ldfpd         FR_C41,FR_C51 = [GR_ad_Co],16
+(p14) fcvt.xf       FR_rs = FR_rs
+(p14) add           GR_ad_SinO = 0x3A0,GR_ad_Data
+};;
+.pred.rel "mutex",p14,p15
+{ .mfi
+      ldfpd         FR_C00,FR_C10 = [GR_ad_Ce],16
+      nop.f         0
+(p14) sub           GR_Sig = GR_Correction,GR_Sig
+}
+{ .mfi
+      ldfpd         FR_C20,FR_C30 = [GR_ad_Co],16
+      fma.s1        FR_Rq1 = FR_1mX,FR_2,FR_X2mX // (x-1)*(x-2)
+(p15) sub           GR_Sig = GR_Sig,GR_Correction
+};;
+{ .mfi
+(p14) ldfpd         FR_S01,FR_S11 = [GR_ad_SinO],16
+      fma.s1        FR_Rq3 = FR_2,f1,FR_1mX // 3 - |x|
+      and           GR_RqDeg = 0x6,GR_Sig
+}
+{ .mfi
+      ldfpd         FR_C40,FR_C50 = [GR_ad_Ce],16
+(p14) fma.d.s0      FR_X = f0,f0,f8 // set deno flag
+      mov           GR_NanBound = 0x30016 // -2^23
+};;
+.pred.rel "mutex",p14,p15
+{ .mfi
+(p14) add           GR_ad_SinE = 0x3C0,GR_ad_Data
+(p15) fms.s1        FR_r = FR_NormX,f1,FR_Xt // r = x - [x]
+      cmp.eq        p8,p0 = 2,GR_RqDeg
+}
+{ .mfi
+      ldfpd         FR_An,FR_OvfBound = [GR_ad_Co]
+(p14) fms.s1        FR_r = FR_Xt,f1,FR_NormX // r = |x - [x]|
+      cmp.eq        p9,p0 = 4,GR_RqDeg
+};;
+.pred.rel "mutex",p8,p9
+{ .mfi
+(p14) ldfpd         FR_S21,FR_S00 = [GR_ad_SinE],16
+(p8)  fma.s1        FR_Rq0 = FR_2,f1,FR_1mX // (3-x)
+      tbit.z        p0,p6 = GR_Sig,0
+}
+{ .mfi
+(p14) ldfpd         FR_S10,FR_S20 = [GR_ad_SinO],16
+(p9)  fma.s1        FR_Rq0 = FR_2,FR_2,FR_1mX // (5-x)
+      cmp.eq        p10,p0 = 6,GR_RqDeg
+};;
+{ .mfi
+(p14) getf.s        GR_Arg = f8
+(p14) fcmp.eq.unc.s1 p13,p0 = FR_NormX,FR_Xt
+(p14) mov           GR_ZeroResBound = 0xC22C // -43
+}
+{ .mfi
+(p14) ldfe          FR_InvAn = [GR_ad_SinE]
+(p10) fma.s1        FR_Rq0 = FR_6,f1,FR_1mX // (7-x)
+      cmp.eq        p7,p0 = r0,GR_RqDeg
+};;
+{ .mfi
+(p14) cmp.ge.unc    p11,p0 = GR_SignExp,GR_NanBound
+      fma.s1        FR_Rq2 = FR_Rq2,FR_6,FR_X2mX // (x-3)*(x-4)
+(p14) shl           GR_ZeroResBound = GR_ZeroResBound,16
+}
+{ .mfb
+(p14) mov           GR_OvfNzBound = 0x802
+(p14) fms.s1        FR_rs = FR_rs,f1,FR_NormX // rs = round(x) - x
+      // jump if  x < -2^23 i.e. x is negative integer
+(p11) br.cond.spnt  tgammaf_singularity
+};;
+{ .mfi
+      nop.m         0
+(p7)  fma.s1        FR_Rq1 = f0,f0,f1
+(p14) shl           GR_OvfNzBound = GR_OvfNzBound,20
+}
+{ .mfb
+      nop.m         0
+      fma.s1        FR_Rq3 = FR_Rq3,FR_10,FR_X2mX // (x-5)*(x-6)
+      // jump if x is negative integer such that -2^23 < x < 0
+(p13) br.cond.spnt  tgammaf_singularity
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_C01 = FR_C01,f1,FR_r
+(p14) mov           GR_ExpOf05 = 0xFFFE
+}
+{ .mfi
+(p14) cmp.eq.unc    p7,p0 = GR_Arg,GR_OvfNzBound
+      fma.s1        FR_C11 = FR_C11,f1,FR_r
+(p14) cmp.ltu.unc   p11,p0 = GR_Arg,GR_OvfNzBound
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_C21 = FR_C21,f1,FR_r
+(p14) cmp.ltu.unc   p9,p0 = GR_ZeroResBound,GR_Arg
+}
+{ .mfb
+      nop.m         0
+      fma.s1        FR_C31 = FR_C31,f1,FR_r
+      // jump if argument is close to 0 negative
+(p11) br.cond.spnt  tgammaf_overflow
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_C41 = FR_C41,f1,FR_r
+      nop.i         0
+}
+{ .mfb
+      nop.m         0
+      fma.s1        FR_C51 = FR_C51,f1,FR_r
+      // jump if x is negative noninteger such that -2^23 < x < -43
+(p9)  br.cond.spnt  tgammaf_underflow
+};;
+{ .mfi
+      nop.m         0
+(p14) fma.s1        FR_rs2 = FR_rs,FR_rs,f0
+      nop.i         0 
+}
+{ .mfb
+      nop.m         0
+(p14) fma.s1        FR_S01 = FR_rs,FR_rs,FR_S01
+      // jump if argument is 0x80200000
+(p7)  br.cond.spnt  tgammaf_overflow_near0_bound
+};;
+{ .mfi
+      nop.m         0 
+(p6)  fnma.s1       FR_Rq1 = FR_Rq1,FR_Rq0,f0
+      nop.i         0 
+}
+{ .mfi
+      nop.m         0 
+(p10) fma.s1        FR_Rq2 = FR_Rq2,FR_Rq3,f0
+      and           GR_Sig = 0x7,GR_Sig
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_C01 = FR_C01,FR_r,FR_C00
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_C11 = FR_C11,FR_r,FR_C10
+      cmp.eq        p6,p7 = r0,GR_Sig // p6 if |x| from one of base intervals
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_C21 = FR_C21,FR_r,FR_C20
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_C31 = FR_C31,FR_r,FR_C30
+(p7)  cmp.lt.unc    p9,p0 = 2,GR_RqDeg
+};;
+{ .mfi
+      nop.m         0
+(p14) fma.s1        FR_S11 = FR_rs,FR_rs,FR_S11
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+(p14) fma.s1        FR_S21 = FR_rs,FR_rs,FR_S21
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_C41 = FR_C41,FR_r,FR_C40
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+(p14) fma.s1        FR_S32 = FR_rs2,FR_S32,FR_S31
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0 
+(p9)  fma.s1        FR_Rq1 = FR_Rq1,FR_Rq2,f0
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_C51 = FR_C51,FR_r,FR_C50
+      nop.i         0 
+};;
+{ .mfi
+(p14) getf.exp      GR_SignExp = FR_rs
+      fma.s1        FR_C01 = FR_C01,FR_C11,f0
+      nop.i         0 
+}
+{ .mfi
+      nop.m         0
+(p14) fma.s1        FR_S01 = FR_S01,FR_rs2,FR_S00
+      nop.i         0 
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_C21 = FR_C21,FR_C31,f0
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      // NR-iteration
+(p14) fnma.s1       FR_InvNormX1 = FR_Rcp0,FR_NormX,f1
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+(p14) fma.s1        FR_S11 = FR_S11,FR_rs2,FR_S10
+(p14) tbit.z.unc    p11,p12 = GR_SignExp,17 
+}
+{ .mfi
+      nop.m         0
+(p14) fma.s1        FR_S21 = FR_S21,FR_rs2,FR_S20
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+(p15) fcmp.lt.unc.s1 p0,p13 = FR_NormX,FR_OvfBound
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+(p14) fma.s1        FR_S32 = FR_rs2,FR_S32,f0
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_C41 = FR_C41,FR_C51,f0
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+(p7)  fma.s1        FR_An = FR_Rq1,FR_An,f0
+      nop.i         0 
+};;
+{ .mfb
+      nop.m         0
+      nop.f         0
+      // jump if x > 35.04010009765625
+(p13) br.cond.spnt  tgammaf_overflow
+};;
+{ .mfi
+      nop.m         0
+      // NR-iteration
+(p14) fma.s1        FR_InvNormX1 = FR_Rcp0,FR_InvNormX1,FR_Rcp0
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+(p14) fma.s1        FR_S01 = FR_S01,FR_S11,f0
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+(p14) fma.s1        FR_S21 = FR_S21,FR_S32,f0
+      nop.i         0
+};;
+{ .mfi
+(p14) getf.exp      GR_SignExp = FR_NormX
+      fma.s1        FR_C01 = FR_C01,FR_C21,f0
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_C41 = FR_C41,FR_An,f0
+(p14) mov           GR_ExpOf1 = 0x2FFFF
+};;
+{ .mfi
+      nop.m         0
+      // NR-iteration
+(p14) fnma.s1       FR_InvNormX2 = FR_InvNormX1,FR_NormX,f1
+      nop.i         0
+};;
+.pred.rel "mutex",p11,p12
+{ .mfi
+      nop.m         0
+(p12) fnma.s1       FR_S01 = FR_S01,FR_S21,f0
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+(p11) fma.s1        FR_S01 = FR_S01,FR_S21,f0
+      nop.i         0
+};;
+
+{ .mfi
+      nop.m         0 
+(p14) fma.s1        FR_GAMMA = FR_C01,FR_C41,f0
+(p14) tbit.z.unc    p6,p7 = GR_Sig,0
+}
+{ .mfb
+      nop.m         0
+(p15) fma.s.s0      f8 = FR_C01,FR_C41,f0
+(p15) br.ret.spnt   b0 // exit for positives
+};;
+.pred.rel "mutex",p11,p12
+{ .mfi
+      nop.m         0
+(p12) fms.s1        FR_S01 = FR_rs,FR_S01,FR_rs
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+(p11) fma.s1        FR_S01 = FR_rs,FR_S01,FR_rs
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      // NR-iteration
+      fma.s1        FR_InvNormX2 = FR_InvNormX1,FR_InvNormX2,FR_InvNormX1
+      cmp.eq        p10,p0 = 0x23,GR_Offs
+};;
+.pred.rel "mutex",p6,p7
+{ .mfi
+      nop.m         0
+(p6)  fma.s1        FR_GAMMA = FR_S01,FR_GAMMA,f0
+      cmp.gtu       p8,p0 = GR_SignExp,GR_ExpOf1
+}
+{ .mfi
+      nop.m         0
+(p7)  fnma.s1       FR_GAMMA = FR_S01,FR_GAMMA,f0
+      cmp.eq        p9,p0 = GR_SignExp,GR_ExpOf1
+};;
+{ .mfi
+      nop.m         0
+      // NR-iteration
+      fnma.s1       FR_InvNormX1 = FR_InvNormX2,FR_NormX,f1
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+(p10) fma.s1        FR_InvNormX2 = FR_InvNormX2,FR_InvAn,f0
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      frcpa.s1      FR_Rcp0,p0 = f1,FR_GAMMA
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fms.s1        FR_Multplr = FR_NormX,f1,f1 // x - 1
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      // NR-iteration
+      fnma.s1       FR_Rcp1 = FR_Rcp0,FR_GAMMA,f1
+      nop.i         0
+};;
+.pred.rel "mutex",p8,p9
+{ .mfi
+      nop.m         0
+      // 1/x or 1/(An*x)
+(p8)  fma.s1        FR_Multplr = FR_InvNormX2,FR_InvNormX1,FR_InvNormX2
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+(p9)  fma.s1        FR_Multplr = f1,f1,f0
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      // NR-iteration
+      fma.s1        FR_Rcp1 = FR_Rcp0,FR_Rcp1,FR_Rcp0
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      // NR-iteration
+      fnma.s1       FR_Rcp2 = FR_Rcp1,FR_GAMMA,f1
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      // NR-iteration
+      fma.s1        FR_Rcp1 = FR_Rcp1,FR_Multplr,f0
+      nop.i         0
+};;
+{ .mfb
+      nop.m         0
+      fma.s.s0      f8 = FR_Rcp1,FR_Rcp2,FR_Rcp1
+      br.ret.sptk   b0
+};;
+
+// here if 0 < x < 1
+//--------------------------------------------------------------------
+.align 32
+tgammaf_from_0_to_1:
+{ .mfi
+      cmp.lt        p7,p0 = GR_Arg,GR_ExpOf05
+      // NR-iteration
+      fnma.s1       FR_Rcp1 = FR_Rcp0,FR_NormX,f1
+      cmp.eq        p8,p0 = GR_Arg,GR_ExpOf05
+}
+{ .mfi
+      cmp.gt        p9,p0 = GR_Arg,GR_ExpOf05
+      fma.s1        FR_r = f0,f0,FR_NormX // reduced arg for (0;1)
+      mov           GR_ExpOf025 = 0x7FA       
+};;
+{ .mfi
+      getf.s        GR_ArgNz = f8
+      fma.d.s0      FR_X = f0,f0,f8 // set deno flag
+      shl           GR_OvfNzBound = GR_OvfNzBound,20
+}
+{ .mfi
+(p8)  mov           GR_Tbl12Offs = 0x80 // 0.5 <= x < 0.75
+      nop.f         0
+(p7)  cmp.ge.unc    p6,p0 = GR_Arg,GR_ExpOf025
+};;
+.pred.rel "mutex",p6,p9
+{ .mfi
+(p9)  mov           GR_Tbl12Offs = 0xC0 // 0.75 <= x < 1
+      nop.f         0
+(p6)  mov           GR_Tbl12Offs = 0x40 // 0.25 <= x < 0.5
+}
+{ .mfi
+      add           GR_ad_Ce = 0x2C0,GR_ad_Data      
+      nop.f         0
+      add           GR_ad_Co = 0x2A0,GR_ad_Data
+};;
+{ .mfi
+      add           GR_ad_Co = GR_ad_Co,GR_Tbl12Offs
+      nop.f         0
+      cmp.lt        p12,p0 = GR_ArgNz,GR_OvfNzBound
+}
+{ .mib
+      add           GR_ad_Ce = GR_ad_Ce,GR_Tbl12Offs
+      cmp.eq        p7,p0 = GR_ArgNz,GR_OvfNzBound
+      // jump if argument is 0x00200000
+(p7)  br.cond.spnt  tgammaf_overflow_near0_bound
+};;
+{ .mmb
+      ldfpd         FR_A7,FR_A6 = [GR_ad_Co],16
+      ldfpd         FR_A5,FR_A4 = [GR_ad_Ce],16
+      // jump if argument is close to 0 positive
+(p12) br.cond.spnt  tgammaf_overflow      
+};;
+{ .mfi
+      ldfpd         FR_A3,FR_A2 = [GR_ad_Co],16
+      // NR-iteration
+      fma.s1        FR_Rcp1 = FR_Rcp0,FR_Rcp1,FR_Rcp0
+      nop.i         0
+}
+{ .mfb
+      ldfpd         FR_A1,FR_A0 = [GR_ad_Ce],16
+      nop.f         0
+      br.cond.sptk  tgamma_from_0_to_2 
+};;
+
+// here if 1 < x < 2
+//--------------------------------------------------------------------
+.align 32
+tgammaf_from_1_to_2:
+{ .mfi
+      add           GR_ad_Co = 0x2A0,GR_ad_Data
+      fms.s1        FR_r = f0,f0,FR_1mX
+      shr           GR_TblOffs = GR_Arg,47
+}
+{ .mfi
+      add           GR_ad_Ce = 0x2C0,GR_ad_Data
+      nop.f         0
+      mov           GR_TblOffsMask = 0x18
+};;
+{ .mfi
+      nop.m         0
+      nop.f         0
+      and           GR_TblOffs = GR_TblOffs,GR_TblOffsMask 
+};;
+{ .mfi
+      shladd        GR_ad_Co = GR_TblOffs,3,GR_ad_Co
+      nop.f         0
+      nop.i         0
+}
+{ .mfi
+      shladd        GR_ad_Ce = GR_TblOffs,3,GR_ad_Ce
+      nop.f         0
+      cmp.eq        p6,p7 = 8,GR_TblOffs
+};;
+{ .mmi
+      ldfpd         FR_A7,FR_A6 = [GR_ad_Co],16
+      ldfpd         FR_A5,FR_A4 = [GR_ad_Ce],16
+      nop.i         0
+};;
+{ .mmi
+      ldfpd         FR_A3,FR_A2 = [GR_ad_Co],16
+      ldfpd         FR_A1,FR_A0 = [GR_ad_Ce],16
+      nop.i         0
+};;
+
+.align 32
+tgamma_from_0_to_2:
+{ .mfi
+      nop.m         0
+(p6)  fms.s1        FR_r = FR_r,f1,FR_LocalMin
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      // NR-iteration
+(p10) fnma.s1       FR_Rcp2 = FR_Rcp1,FR_NormX,f1
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fms.s1        FR_r2 = FR_r,FR_r,f0
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_A7 = FR_A7,FR_r,FR_A6
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_A5 = FR_A5,FR_r,FR_A4
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_A3 = FR_A3,FR_r,FR_A2
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_A1 = FR_A1,FR_r,FR_A0
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      // NR-iteration
+(p10) fma.s1        FR_Rcp2 = FR_Rcp1,FR_Rcp2,FR_Rcp1
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_A7 = FR_A7,FR_r2,FR_A5
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_r4 = FR_r2,FR_r2,f0
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fma.s1        FR_A3 = FR_A3,FR_r2,FR_A1
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0 
+(p10) fma.s1        FR_GAMMA = FR_A7,FR_r4,FR_A3
+      nop.i         0
+}
+{ .mfi
+      nop.m         0 
+(p11) fma.s.s0      f8 = FR_A7,FR_r4,FR_A3
+      nop.i         0
+};;
+{ .mfb
+      nop.m         0 
+(p10) fma.s.s0      f8 = FR_GAMMA,FR_Rcp2,f0
+      br.ret.sptk   b0
+};;
+
+
+// overflow
+//--------------------------------------------------------------------
+.align 32
+tgammaf_overflow_near0_bound:
+.pred.rel "mutex",p14,p15
+{ .mfi
+	  mov           GR_fpsr = ar.fpsr
+	  nop.f         0
+(p15) mov           r8 = 0x7f8
+}
+{ .mfi
+      nop.m         0
+      nop.f         0
+(p14) mov           r8 = 0xff8
+};;
+{ .mfi
+	  nop.m         0
+	  nop.f         0
+	  shl           r8 = r8,20 
+};;
+{ .mfi
+      sub           r8 = r8,r0,1
+      nop.f         0
+	  extr.u        GR_fpsr = GR_fpsr,10,2 // rounding mode
+};;
+.pred.rel "mutex",p14,p15
+{ .mfi
+      // set p8 to 0 in case of overflow and to 1 otherwise
+	  // for negative arg: 
+	  //    no overflow if rounding mode either Z or +Inf, i.e.
+	  //    GR_fpsr > 1
+(p14) cmp.lt        p8,p0 = 1,GR_fpsr
+      nop.f         0
+	  // for positive arg: 
+	  //    no overflow if rounding mode either Z or -Inf, i.e.
+	  //    (GR_fpsr & 1) == 0
+(p15) tbit.z        p0,p8 = GR_fpsr,0
+};;
+{ .mib
+(p8)  setf.s        f8 = r8 // set result to 0x7f7fffff without
+                            // OVERFLOW flag raising
+      nop.i         0
+(p8)  br.ret.sptk   b0
+};;
+
+.align 32
+tgammaf_overflow:
+{ .mfi
+      nop.m         0
+      nop.f         0
+      mov           r8 = 0x1FFFE
+};;
+{ .mfi
+      setf.exp      f9 = r8
+      fmerge.s      FR_X = f8,f8
+      nop.i         0
+};;
+.pred.rel "mutex",p14,p15
+{ .mfi
+      nop.m         0
+(p14) fnma.s.s0     f8 = f9,f9,f0 // set I,O and -INF result
+      mov           GR_TAG = 261 // overflow
+}
+{ .mfb
+      nop.m         0 
+(p15) fma.s.s0      f8 = f9,f9,f0 // set I,O and +INF result
+      br.cond.sptk  tgammaf_libm_err
+};;
+
+// x is negative integer or +/-0
+//--------------------------------------------------------------------
+.align 32
+tgammaf_singularity:
+{ .mfi
+      nop.m         0
+      fmerge.s      FR_X = f8,f8
+      mov           GR_TAG = 262 // negative
+}
+{ .mfb
+      nop.m         0
+      frcpa.s0      f8,p0 = f0,f0
+      br.cond.sptk  tgammaf_libm_err
+};;
+// x is negative noninteger with big absolute value
+//--------------------------------------------------------------------
+.align 32
+tgammaf_underflow:
+{ .mfi
+      mov           r8 = 0x00001
+      nop.f         0
+      tbit.z        p6,p7 = GR_Sig,0
+};;
+{ .mfi
+      setf.exp      f9 = r8
+      nop.f         0
+      nop.i         0
+};;
+.pred.rel "mutex",p6,p7
+{ .mfi
+      nop.m         0
+(p6)  fms.s.s0      f8 = f9,f9,f9
+      nop.i         0
+}
+{ .mfb
+      nop.m         0
+(p7)  fma.s.s0      f8 = f9,f9,f9
+      br.ret.sptk   b0
+};;
+
+//  x for natval, nan, +/-inf or +/-0
+//--------------------------------------------------------------------
+.align 32
+tgammaf_spec_args:
+{ .mfi
+      nop.m         0
+      fclass.m      p6,p0 =  f8,0x1E1 // Test x for natval, nan, +inf
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fclass.m      p7,p8 =  f8,0x7 // +/-0
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fmerge.s      FR_X = f8,f8
+      nop.i         0
+}
+{ .mfb
+      nop.m         0
+(p6)  fma.s.s0      f8 = f8,f1,f8
+(p6)  br.ret.spnt   b0
+};;
+.pred.rel "mutex",p7,p8
+{ .mfi
+(p7)  mov           GR_TAG = 262 // negative
+(p7)  frcpa.s0      f8,p0 = f1,f8
+      nop.i         0 
+}
+{ .mib
+      nop.m         0
+      nop.i         0
+(p8)  br.cond.spnt  tgammaf_singularity
+};;
+
+.align 32
+tgammaf_libm_err:
+{ .mfi
+      alloc        r32 = ar.pfs,1,4,4,0
+      nop.f        0
+      mov          GR_Parameter_TAG = GR_TAG
+};;
+
+GLOBAL_LIBM_END(tgammaf)
+LOCAL_LIBM_ENTRY(__libm_error_region)
+.prologue
+{ .mfi
+        add   GR_Parameter_Y=-32,sp             // Parameter 2 value
+        nop.f 0
+.save   ar.pfs,GR_SAVE_PFS
+        mov  GR_SAVE_PFS=ar.pfs                 // Save ar.pfs 
+}
+{ .mfi
+.fframe 64 
+        add sp=-64,sp                           // Create new stack
+        nop.f 0
+        mov GR_SAVE_GP=gp                       // Save gp
+};;
+{ .mmi
+        stfd [GR_Parameter_Y] = FR_Y,16         // STORE Parameter 2 on stack
+        add GR_Parameter_X = 16,sp              // Parameter 1 address
+.save   b0, GR_SAVE_B0                      
+        mov GR_SAVE_B0=b0                       // Save b0 
+};;
+.body
+{ .mib
+        stfd [GR_Parameter_X] = FR_X           // STORE Parameter 1 on stack 
+        add   GR_Parameter_RESULT = 0,GR_Parameter_Y  // Parameter 3 address 
+        nop.b 0                                      
+}
+{ .mib
+        stfd [GR_Parameter_Y] = FR_RESULT      // STORE Parameter 3 on stack
+        add   GR_Parameter_Y = -16,GR_Parameter_Y  
+        br.call.sptk b0=__libm_error_support# // Call error handling function
+};;
+{ .mmi
+        nop.m 0
+        nop.m 0
+        add   GR_Parameter_RESULT = 48,sp
+};;
+{ .mmi
+        ldfd  f8 = [GR_Parameter_RESULT]       // Get return result off stack
+.restore sp
+        add   sp = 64,sp                       // Restore stack pointer
+        mov   b0 = GR_SAVE_B0                  // Restore return address
+};;
+{ .mib
+        mov   gp = GR_SAVE_GP                  // Restore gp 
+        mov   ar.pfs = GR_SAVE_PFS             // Restore ar.pfs
+        br.ret.sptk     b0                     // Return
+};; 
+
+LOCAL_LIBM_END(__libm_error_region)
+.type   __libm_error_support#,@function
+.global __libm_error_support#
+
diff --git a/sysdeps/ia64/fpu/w_tgammal.S b/sysdeps/ia64/fpu/w_tgammal.S
new file mode 100644
index 0000000000..75b1069d21
--- /dev/null
+++ b/sysdeps/ia64/fpu/w_tgammal.S
@@ -0,0 +1,4485 @@
+.file "tgammal.s"
+
+
+// Copyright (c) 2002 - 2003, Intel Corporation
+// All rights reserved.
+//
+// Contributed 2002 by the Intel Numerics Group, Intel Corporation
+//
+// Redistribution and use in source and binary forms, with or without
+// modification, are permitted provided that the following conditions are
+// met:
+//
+// * Redistributions of source code must retain the above copyright
+// notice, this list of conditions and the following disclaimer.
+//
+// * Redistributions in binary form must reproduce the above copyright
+// notice, this list of conditions and the following disclaimer in the
+// documentation and/or other materials provided with the distribution.
+//
+// * The name of Intel Corporation may not be used to endorse or promote
+// products derived from this software without specific prior written
+// permission.
+
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
+// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL INTEL OR ITS 
+// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, 
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY 
+// OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY OR TORT (INCLUDING
+// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 
+// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 
+// 
+// Intel Corporation is the author of this code, and requests that all
+// problem reports or change requests be submitted to it directly at 
+// http://www.intel.com/software/products/opensource/libraries/num.htm.
+//
+// History
+//==============================================================
+// 01/16/02  Initial version
+// 05/20/02  Cleaned up namespace and sf0 syntax
+// 02/10/03  Reordered header: .section, .global, .proc, .align;
+//           used data8 for long double table values
+// 03/17/03  Moved tgammal_libm_err label into .proc region
+// 04/10/03  Changed error codes for overflow and negative integers
+//
+// API
+//==============================================================
+// long double tgammal(long double)
+//
+// Resources Used:
+//
+//    Floating-Point Registers:  f8-f15
+//                               f32-f127
+//
+//    General Purpose Registers: r32-r67 
+//
+//    Predicate Registers:       p6-p15
+//
+//*********************************************************************
+//
+// IEEE Special Conditions:
+//
+//    tgammal(+inf) = +inf
+//    tgammal(-inf) = QNaN 
+//    tgammal(+/-0) = +/-inf 
+//    tgammal(x<0, x - integer) = QNaN
+//    tgammal(SNaN) = QNaN
+//    tgammal(QNaN) = QNaN
+//
+//*********************************************************************
+// Overview of operation
+//==============================================================
+//
+// Algorithm description
+// ---------------------
+//
+// There are 3 main paths in the implementation 
+// (and additional special values branches)
+//
+// 1) |X| >= 13 - Stirling formula computation
+//    a) Positive arguments:
+//       TGAMMAL(X) = exp((X-0.5)*ln(X) - X + C + S(Z)), 
+//       where C = 0.5*ln(2*Pi) , Z = 1/Z, S(Z) - Bernulli polynomial 
+//       (up to 'B18' term).
+//       Some of these calculation done in multiprecision. 
+//       Ln returns multiprecision result too 
+//       and exp also accepts and returns pair of values.
+//     
+//    b) Negative arguments
+//       TGAMMAL(-X) = PI/(X*TGAMMAL(X)*sin(PI*X)).
+//       (X*sin(PI*X))/PI calculated in parallel with TGAMMAL.
+//       Here we use polynomial of 9th degree with 2 multiprecision steps.
+//       Argument range reduction is: 
+//       N = [x] with round to nearest, r = x - N, -0.5 <= r < 0.5
+//       After ((X-0.5)*ln(X) - X + C + S(Z)) completed we just invert
+//       its result and compute exp with negative argument (1/exp(x)=exp(-x))
+//       Then we multiply exp result to PI/(X*sin(PI*X)).
+//
+// 2) 1 <= |X| < 13 - Polynomial part
+//    a) Positive arguments:
+//       All values are splitted to such intervals as:
+//       #0->[2;3], #1->[3,4], #2->[5,6]...
+//       For even intervals we just use polynomial computation with degree 20
+//       and first 6 multiprecision computations.
+//       Range reduction looks like
+//       N = [x] with truncate, r = x - N - 0.5, -0.5 <= r < 0.5
+//       For odd intervals we use reccurent formula: 
+//       TGAMMAL(X) = TGAMMA(X-1)*(X-1)
+//       [1;2] interval is splitted to 3 subranges: 
+//       [1;1.25], [1.25;1.75], [1.75;2] with the same polynomial forms
+//
+//    b) Negative arguments
+//       TGAMMAL(-X) = PI/(X*TGAMMAL(X)*sin(PI*X)).
+//       (X*sin(PI*X))/PI calculated in parallel with TGAMMAL.
+//       After multiplication by TGAMMAL(X) result we calculate reciprocal
+//       and get final result.
+//
+// 3) 0 < |X| < 1 - Near 0 part
+//    a) Here we use reccurent formula TGAMMAL(X) = TGAMMAL(X+1)/X
+//       TGAMMAL(X+1) calculated as shown above, 
+//       1/X result obtained in parallel. Then we just multiply these values.
+//       There is only additional separated subrange: [0;0.125] with specific
+//       polynomial constants set.
+//
+//    b) Negative arguments
+//       TGAMMAL(-X) = PI/(TGAMMAL(X+1)*sin(PI*X)).
+//       There is no need to compute 1/X.
+
+
+
+RODATA
+
+.align 16
+LOCAL_OBJECT_START(Constants_Tgammal_log_80_Q)
+// log2_hi, log2_lo, Q_6, Q_5, Q_4, Q_3, Q_2, Q_1 
+data4 0x00000000,0xB1721800,0x00003FFE,0x00000000
+data4 0x4361C4C6,0x82E30865,0x0000BFE2,0x00000000
+data4 0xA51BE0AF,0x92492453,0x00003FFC,0x00000000
+data4 0xA0CFD29F,0xAAAAAB73,0x0000BFFC,0x00000000
+data4 0xCCCE3872,0xCCCCCCCC,0x00003FFC,0x00000000
+data4 0xFFFFB4FB,0xFFFFFFFF,0x0000BFFC,0x00000000
+data4 0xAAAAAAAB,0xAAAAAAAA,0x00003FFD,0x00000000
+data4 0x00000000,0x80000000,0x0000BFFE,0x00000000 
+LOCAL_OBJECT_END(Constants_Tgammal_log_80_Q)
+
+.align 64
+LOCAL_OBJECT_START(Constants_Tgammal_log_80_Z_G_H_h1)
+// Z1 - 16 bit fixed, G1 and H1 IEEE single, h1 IEEE double   
+data4 0x00008000,0x3F800000,0x00000000,0x00000000
+data4 0x00000000,0x00000000,0x00000000,0x00000000 
+data4 0x00007879,0x3F70F0F0,0x3D785196,0x00000000
+data4 0xEBA0E0D1,0x8B1D330B,0x00003FDA,0x00000000
+data4 0x000071C8,0x3F638E38,0x3DF13843,0x00000000
+data4 0x9EADD553,0xE2AF365E,0x00003FE2,0x00000000
+data4 0x00006BCB,0x3F579430,0x3E2FF9A0,0x00000000
+data4 0x752F34A2,0xF585FEC3,0x0000BFE3,0x00000000  
+data4 0x00006667,0x3F4CCCC8,0x3E647FD6,0x00000000
+data4 0x893B03F3,0xF3546435,0x00003FE2,0x00000000  
+data4 0x00006187,0x3F430C30,0x3E8B3AE7,0x00000000 
+data4 0x39CDD2AC,0xBABA62E0,0x00003FE4,0x00000000 
+data4 0x00005D18,0x3F3A2E88,0x3EA30C68,0x00000000 
+data4 0x457978A1,0x8718789F,0x00003FE2,0x00000000
+data4 0x0000590C,0x3F321640,0x3EB9CEC8,0x00000000 
+data4 0x3185E56A,0x9442DF96,0x0000BFE4,0x00000000 
+data4 0x00005556,0x3F2AAAA8,0x3ECF9927,0x00000000 
+data4 0x2BBE2CBD,0xCBF9A4BF,0x00003FE4,0x00000000 
+data4 0x000051EC,0x3F23D708,0x3EE47FC5,0x00000000 
+data4 0x852D5935,0xF3537535,0x00003FE3,0x00000000 
+data4 0x00004EC5,0x3F1D89D8,0x3EF8947D,0x00000000 
+data4 0x46CDF32F,0xA1F1E699,0x0000BFDF,0x00000000 
+data4 0x00004BDB,0x3F17B420,0x3F05F3A1,0x00000000 
+data4 0xD8484CE3,0x84A61856,0x00003FE4,0x00000000 
+data4 0x00004925,0x3F124920,0x3F0F4303,0x00000000
+data4 0xFF28821B,0xC7DD97E0,0x0000BFE2,0x00000000    
+data4 0x0000469F,0x3F0D3DC8,0x3F183EBF,0x00000000 
+data4 0xEF1FD32F,0xD3C4A887,0x00003FE3,0x00000000  
+data4 0x00004445,0x3F088888,0x3F20EC80,0x00000000 
+data4 0x464C76DA,0x84672BE6,0x00003FE5,0x00000000 
+data4 0x00004211,0x3F042108,0x3F29516A,0x00000000
+data4 0x18835FB9,0x9A43A511,0x0000BFE5,0x00000000 
+LOCAL_OBJECT_END(Constants_Tgammal_log_80_Z_G_H_h1)
+
+.align 64
+LOCAL_OBJECT_START(Constants_Tgammal_log_80_Z_G_H_h2)
+// Z2 - 16 bit fixed, G2 and H2 IEEE single, h2 IEEE double
+data4 0x00008000,0x3F800000,0x00000000,0x00000000 
+data4 0x00000000,0x00000000,0x00000000,0x00000000 
+data4 0x00007F81,0x3F7F00F8,0x3B7F875D,0x00000000 
+data4 0x211398BF,0xAD08B116,0x00003FDB,0x00000000
+data4 0x00007F02,0x3F7E03F8,0x3BFF015B,0x00000000 
+data4 0xC376958E,0xB106790F,0x00003FDE,0x00000000 
+data4 0x00007E85,0x3F7D08E0,0x3C3EE393,0x00000000 
+data4 0x79A7679A,0xFD03F242,0x0000BFDA,0x00000000 
+data4 0x00007E08,0x3F7C0FC0,0x3C7E0586,0x00000000 
+data4 0x05E7AE08,0xF03F81C3,0x0000BFDF,0x00000000 
+data4 0x00007D8D,0x3F7B1880,0x3C9E75D2,0x00000000 
+data4 0x049EB22F,0xD1B87D3C,0x00003FDE,0x00000000
+data4 0x00007D12,0x3F7A2328,0x3CBDC97A,0x00000000 
+data4 0x3A9E81E0,0xFABC8B95,0x00003FDF,0x00000000 
+data4 0x00007C98,0x3F792FB0,0x3CDCFE47,0x00000000
+data4 0x7C4B5443,0xF5F3653F,0x00003FDF,0x00000000 
+data4 0x00007C20,0x3F783E08,0x3CFC15D0,0x00000000 
+data4 0xF65A1773,0xE78AB204,0x00003FE0,0x00000000  
+data4 0x00007BA8,0x3F774E38,0x3D0D874D,0x00000000 
+data4 0x7B8EF695,0xDB7CBFFF,0x0000BFE0,0x00000000 
+data4 0x00007B31,0x3F766038,0x3D1CF49B,0x00000000 
+data4 0xCF773FB3,0xC0241AEA,0x0000BFE0,0x00000000 
+data4 0x00007ABB,0x3F757400,0x3D2C531D,0x00000000 
+data4 0xC9539FDF,0xFC8F4D48,0x00003FE1,0x00000000  
+data4 0x00007A45,0x3F748988,0x3D3BA322,0x00000000 
+data4 0x954665C2,0x9CD035FB,0x0000BFE1,0x00000000  
+data4 0x000079D1,0x3F73A0D0,0x3D4AE46F,0x00000000 
+data4 0xDD367A30,0xEC9017C7,0x00003FE1,0x00000000 
+data4 0x0000795D,0x3F72B9D0,0x3D5A1756,0x00000000 
+data4 0xCB11189C,0xEE6625D3,0x0000BFE1,0x00000000 
+data4 0x000078EB,0x3F71D488,0x3D693B9D,0x00000000 
+data4 0xBE11C424,0xA49C8DB5,0x0000BFE0,0x00000000 
+LOCAL_OBJECT_END(Constants_Tgammal_log_80_Z_G_H_h2)
+
+.align 64
+LOCAL_OBJECT_START(Constants_Tgammal_log_80_h3_G_H)
+// h3 IEEE double extended, H3 and G3 IEEE single   
+data4 0x112666B0,0xAAACAAB1,0x00003FD3,0x3F7FFC00 
+data4 0x9B7FAD21,0x90051030,0x00003FD8,0x3F7FF400
+data4 0xF4D783C4,0xA6B46F46,0x00003FDA,0x3F7FEC00 
+data4 0x11C6DDCA,0xDA148D88,0x0000BFD8,0x3F7FE400 
+data4 0xCA964D95,0xCE65C1D8,0x0000BFD8,0x3F7FDC00
+data4 0x23412D13,0x883838EE,0x0000BFDB,0x3F7FD400 
+data4 0x983ED687,0xB7E5CFA1,0x00003FDB,0x3F7FCC08 
+data4 0xE3C3930B,0xDBE23B16,0x0000BFD9,0x3F7FC408 
+data4 0x48AA4DFC,0x9B92F1FC,0x0000BFDC,0x3F7FBC10 
+data4 0xCE9C8F7E,0x9A8CEB15,0x0000BFD9,0x3F7FB410 
+data4 0x0DECE74A,0x8C220879,0x00003FDC,0x3F7FAC18 
+data4 0x2F053150,0xB25CA912,0x0000BFDA,0x3F7FA420
+data4 0xD9A5BE20,0xA5876555,0x00003FDB,0x3F7F9C20 
+data4 0x2053F087,0xC919BB6E,0x00003FD9,0x3F7F9428 
+data4 0x041E9A77,0xB70BDA79,0x00003FDC,0x3F7F8C30 
+data4 0xEA1C9C30,0xF18A5C08,0x00003FDA,0x3F7F8438 
+data4 0x796D89E5,0xA3790D84,0x0000BFDD,0x3F7F7C40 
+data4 0xA2915A3A,0xE1852369,0x0000BFDD,0x3F7F7448 
+data4 0xA39ED868,0xD803858F,0x00003FDC,0x3F7F6C50 
+data4 0x9417EBB7,0xB2EEE356,0x0000BFDD,0x3F7F6458 
+data4 0x9BB0D07F,0xED5C1F8A,0x0000BFDC,0x3F7F5C68 
+data4 0xE87C740A,0xD6D201A0,0x0000BFDD,0x3F7F5470 
+data4 0x1CA74025,0xE8DEBF5E,0x00003FDC,0x3F7F4C78 
+data4 0x1F34A7EB,0x9A995A97,0x0000BFDC,0x3F7F4488
+data4 0x359EED97,0x9CB0F742,0x0000BFDA,0x3F7F3C90 
+data4 0xBBC6A1C8,0xD6F833C2,0x0000BFDD,0x3F7F34A0 
+data4 0xE71090EC,0xE1F68F2A,0x00003FDC,0x3F7F2CA8 
+data4 0xC160A74F,0xD1881CF1,0x0000BFDB,0x3F7F24B8 
+data4 0xD78CB5A4,0x9AD05AE2,0x00003FD6,0x3F7F1CC8 
+data4 0x9A77DC4B,0xE658CB8E,0x0000BFDD,0x3F7F14D8 
+data4 0x6BD6D312,0xBA281296,0x00003FDC,0x3F7F0CE0 
+data4 0xF95210D0,0xB478BBEB,0x0000BFDB,0x3F7F04F0 
+data4 0x38800100,0x39400480,0x39A00640,0x39E00C41 // H's start here 
+data4 0x3A100A21,0x3A300F22,0x3A4FF51C,0x3A6FFC1D 
+data4 0x3A87F20B,0x3A97F68B,0x3AA7EB86,0x3AB7E101
+data4 0x3AC7E701,0x3AD7DD7B,0x3AE7D474,0x3AF7CBED 
+data4 0x3B03E1F3,0x3B0BDE2F,0x3B13DAAA,0x3B1BD766 
+data4 0x3B23CC5C,0x3B2BC997,0x3B33C711,0x3B3BBCC6 
+data4 0x3B43BAC0,0x3B4BB0F4,0x3B53AF6D,0x3B5BA620 
+data4 0x3B639D12,0x3B6B9444,0x3B7393BC,0x3B7B8B6D 
+LOCAL_OBJECT_END(Constants_Tgammal_log_80_h3_G_H)
+
+.align 64 
+LOCAL_OBJECT_START(Constants_Tgammal_stirling)
+//0.5*ln(2*Pi)=9.1893853320467266954096885e-01 + 7.2239360881843238220057778e-17
+data8 0x3FED67F1C864BEB4, 0x3C94D252F2400510
+// Bernulli numbers 
+data8 0xAAAAAAAAAAAAAAAB, 0x00003FFB //B2 = 8.3333333333333333333333333333e-02
+data8 0xBF66C16C16C16C17 //B4 = -2.7777777777777777777777777778e-03
+data8 0x3F4A01A01A01A01A //B6 = 7.9365079365079365079365079365e-04
+data8 0xBF43813813813814 //B8 = -5.9523809523809523809523809524e-04
+data8 0x3F4B951E2B18FF23 //B10 = 8.4175084175084175084175084175e-04
+data8 0xBF5F6AB0D9993C7D //B12 = -1.9175269175269175269175269175e-03
+data8 0x3F7A41A41A41A41A //B14 = 6.4102564102564102564102564103e-03
+data8 0xBF9E4286CB0F5398 //B16 = -2.9550653594771241830065359477e-02
+data8 0x3FC6FE96381E0680 //B18 = 1.7964437236883057316493849002e-01
+data8 0x3FE0000000000000 // 0.5
+LOCAL_OBJECT_END(Constants_Tgammal_stirling)
+
+.align 64 
+LOCAL_OBJECT_START(Constants_Tgammal_sin)
+// Polynomial coefficients for the sin(Pi*x)/Pi, 0 <= |x| < 0.5 
+//A2 = 8.1174242528335360802316245099e-01 + 5.1302254650266899774269946201e-18
+data8 0x3FE9F9CB402BC46C, 0x3C57A8B3819B7CEC
+//A1 = -1.6449340668482264060656916627e+00 + -3.0210280454695477893051351574e-17
+data8 0xBFFA51A6625307D3, 0xBC816A402079D0EF
+data8 0xF3AEF1FFCCE6C813, 0x0000BFE3 //A9 = -7.0921197799923779127089910470e-09
+data8 0x87D54408E6D4BB9D, 0x00003FE9 //A8 = 2.5300880778252693946712766029e-07
+data8 0xEA12033DCE7B8ED9, 0x0000BFED //A7 = -6.9758403885461690048189307819e-06
+data8 0x9BA38C952A59D1A8, 0x00003FF2 //A6 = 1.4842878710882320255092707181e-04
+data8 0x99C0B55178FF0E38, 0x0000BFF6 //A5 = -2.3460810348048124421268761990e-03
+data8 0xD63402E798FEC896, 0x00003FF9 //A4 = 2.6147847817611456327417812320e-02
+data8 0xC354723906D95E92, 0x0000BFFC //A3 = -1.9075182412208257558294507774e-01
+LOCAL_OBJECT_END(Constants_Tgammal_sin)
+
+.align 64 
+LOCAL_OBJECT_START(Constants_Tgammal_exp_64_Arg)
+data4 0x00000000,0xB17217F4,0x00003FF2,0x00000000 // L_hi = hi part log(2)/2^12
+data4 0xF278ECE6,0xF473DE6A,0x00003FD4,0x00000000 // L_lo = lo part log(2)/2^12
+LOCAL_OBJECT_END(Constants_Tgammal_exp_64_Arg)
+
+LOCAL_OBJECT_START(Constants_Tgammal_exp_64_A)
+data4 0xB1B736A0,0xAAAAAAAB,0x00003FFA,0x00000000 // A3
+data4 0x90CD6327,0xAAAAAAAB,0x00003FFC,0x00000000 // A2
+data4 0xFFFFFFFF,0xFFFFFFFF,0x00003FFD,0x00000000 // A1
+LOCAL_OBJECT_END(Constants_Tgammal_exp_64_A)
+
+LOCAL_OBJECT_START(Constants_Tgammal_exp_64_T1)
+data4 0x3F800000,0x3F8164D2,0x3F82CD87,0x3F843A29 
+data4 0x3F85AAC3,0x3F871F62,0x3F88980F,0x3F8A14D5 
+data4 0x3F8B95C2,0x3F8D1ADF,0x3F8EA43A,0x3F9031DC
+data4 0x3F91C3D3,0x3F935A2B,0x3F94F4F0,0x3F96942D
+data4 0x3F9837F0,0x3F99E046,0x3F9B8D3A,0x3F9D3EDA
+data4 0x3F9EF532,0x3FA0B051,0x3FA27043,0x3FA43516
+data4 0x3FA5FED7,0x3FA7CD94,0x3FA9A15B,0x3FAB7A3A
+data4 0x3FAD583F,0x3FAF3B79,0x3FB123F6,0x3FB311C4
+data4 0x3FB504F3,0x3FB6FD92,0x3FB8FBAF,0x3FBAFF5B
+data4 0x3FBD08A4,0x3FBF179A,0x3FC12C4D,0x3FC346CD
+data4 0x3FC5672A,0x3FC78D75,0x3FC9B9BE,0x3FCBEC15
+data4 0x3FCE248C,0x3FD06334,0x3FD2A81E,0x3FD4F35B
+data4 0x3FD744FD,0x3FD99D16,0x3FDBFBB8,0x3FDE60F5
+data4 0x3FE0CCDF,0x3FE33F89,0x3FE5B907,0x3FE8396A
+data4 0x3FEAC0C7,0x3FED4F30,0x3FEFE4BA,0x3FF28177
+data4 0x3FF5257D,0x3FF7D0DF,0x3FFA83B3,0x3FFD3E0C
+LOCAL_OBJECT_END(Constants_Tgammal_exp_64_T1)
+
+LOCAL_OBJECT_START(Constants_Tgammal_exp_64_T2)
+data4 0x3F800000,0x3F80058C,0x3F800B18,0x3F8010A4 
+data4 0x3F801630,0x3F801BBD,0x3F80214A,0x3F8026D7 
+data4 0x3F802C64,0x3F8031F2,0x3F803780,0x3F803D0E 
+data4 0x3F80429C,0x3F80482B,0x3F804DB9,0x3F805349 
+data4 0x3F8058D8,0x3F805E67,0x3F8063F7,0x3F806987 
+data4 0x3F806F17,0x3F8074A8,0x3F807A39,0x3F807FCA 
+data4 0x3F80855B,0x3F808AEC,0x3F80907E,0x3F809610 
+data4 0x3F809BA2,0x3F80A135,0x3F80A6C7,0x3F80AC5A 
+data4 0x3F80B1ED,0x3F80B781,0x3F80BD14,0x3F80C2A8 
+data4 0x3F80C83C,0x3F80CDD1,0x3F80D365,0x3F80D8FA 
+data4 0x3F80DE8F,0x3F80E425,0x3F80E9BA,0x3F80EF50 
+data4 0x3F80F4E6,0x3F80FA7C,0x3F810013,0x3F8105AA 
+data4 0x3F810B41,0x3F8110D8,0x3F81166F,0x3F811C07 
+data4 0x3F81219F,0x3F812737,0x3F812CD0,0x3F813269 
+data4 0x3F813802,0x3F813D9B,0x3F814334,0x3F8148CE 
+data4 0x3F814E68,0x3F815402,0x3F81599C,0x3F815F37
+LOCAL_OBJECT_END(Constants_Tgammal_exp_64_T2)
+
+LOCAL_OBJECT_START(Constants_Tgammal_exp_64_W1)
+data8 0x0000000000000000, 0xBE384454171EC4B4
+data8 0xBE6947414AA72766, 0xBE5D32B6D42518F8
+data8 0x3E68D96D3A319149, 0xBE68F4DA62415F36
+data8 0xBE6DDA2FC9C86A3B, 0x3E6B2E50F49228FE
+data8 0xBE49C0C21188B886, 0x3E64BFC21A4C2F1F
+data8 0xBE6A2FBB2CB98B54, 0x3E5DC5DE9A55D329
+data8 0x3E69649039A7AACE, 0x3E54728B5C66DBA5
+data8 0xBE62B0DBBA1C7D7D, 0x3E576E0409F1AF5F
+data8 0x3E6125001A0DD6A1, 0xBE66A419795FBDEF
+data8 0xBE5CDE8CE1BD41FC, 0xBE621376EA54964F
+data8 0x3E6370BE476E76EE, 0x3E390D1A3427EB92
+data8 0x3E1336DE2BF82BF8, 0xBE5FF1CBD0F7BD9E
+data8 0xBE60A3550CEB09DD, 0xBE5CA37E0980F30D
+data8 0xBE5C541B4C082D25, 0xBE5BBECA3B467D29
+data8 0xBE400D8AB9D946C5, 0xBE5E2A0807ED374A
+data8 0xBE66CB28365C8B0A, 0x3E3AAD5BD3403BCA
+data8 0x3E526055C7EA21E0, 0xBE442C75E72880D6
+data8 0x3E58B2BB85222A43, 0xBE5AAB79522C42BF
+data8 0xBE605CB4469DC2BC, 0xBE589FA7A48C40DC
+data8 0xBE51C2141AA42614, 0xBE48D087C37293F4
+data8 0x3E367A1CA2D673E0, 0xBE51BEBB114F7A38
+data8 0xBE6348E5661A4B48, 0xBDF526431D3B9962
+data8 0x3E3A3B5E35A78A53, 0xBE46C46C1CECD788
+data8 0xBE60B7EC7857D689, 0xBE594D3DD14F1AD7
+data8 0xBE4F9C304C9A8F60, 0xBE52187302DFF9D2
+data8 0xBE5E4C8855E6D68F, 0xBE62140F667F3DC4
+data8 0xBE36961B3BF88747, 0x3E602861C96EC6AA
+data8 0xBE3B5151D57FD718, 0x3E561CD0FC4A627B
+data8 0xBE3A5217CA913FEA, 0x3E40A3CC9A5D193A
+data8 0xBE5AB71310A9C312, 0x3E4FDADBC5F57719
+data8 0x3E361428DBDF59D5, 0x3E5DB5DB61B4180D
+data8 0xBE42AD5F7408D856, 0x3E2A314831B2B707
+LOCAL_OBJECT_END(Constants_Tgammal_exp_64_W1)
+
+LOCAL_OBJECT_START(Constants_Tgammal_exp_64_W2)
+data8 0x0000000000000000, 0xBE641F2537A3D7A2
+data8 0xBE68DD57AD028C40, 0xBE5C77D8F212B1B6
+data8 0x3E57878F1BA5B070, 0xBE55A36A2ECAE6FE
+data8 0xBE620608569DFA3B, 0xBE53B50EA6D300A3
+data8 0x3E5B5EF2223F8F2C, 0xBE56A0D9D6DE0DF4
+data8 0xBE64EEF3EAE28F51, 0xBE5E5AE2367EA80B
+data8 0x3E47CB1A5FCBC02D, 0xBE656BA09BDAFEB7
+data8 0x3E6E70C6805AFEE7, 0xBE6E0509A3415EBA
+data8 0xBE56856B49BFF529, 0x3E66DD3300508651
+data8 0x3E51165FC114BC13, 0x3E53333DC453290F
+data8 0x3E6A072B05539FDA, 0xBE47CD877C0A7696
+data8 0xBE668BF4EB05C6D9, 0xBE67C3E36AE86C93
+data8 0xBE533904D0B3E84B, 0x3E63E8D9556B53CE
+data8 0x3E212C8963A98DC8, 0xBE33138F032A7A22
+data8 0x3E530FA9BC584008, 0xBE6ADF82CCB93C97
+data8 0x3E5F91138370EA39, 0x3E5443A4FB6A05D8
+data8 0x3E63DACD181FEE7A, 0xBE62B29DF0F67DEC
+data8 0x3E65C4833DDE6307, 0x3E5BF030D40A24C1
+data8 0x3E658B8F14E437BE, 0xBE631C29ED98B6C7
+data8 0x3E6335D204CF7C71, 0x3E529EEDE954A79D
+data8 0x3E5D9257F64A2FB8, 0xBE6BED1B854ED06C
+data8 0x3E5096F6D71405CB, 0xBE3D4893ACB9FDF5
+data8 0xBDFEB15801B68349, 0x3E628D35C6A463B9
+data8 0xBE559725ADE45917, 0xBE68C29C042FC476
+data8 0xBE67593B01E511FA, 0xBE4A4313398801ED
+data8 0x3E699571DA7C3300, 0x3E5349BE08062A9E
+data8 0x3E5229C4755BB28E, 0x3E67E42677A1F80D
+data8 0xBE52B33F6B69C352, 0xBE6B3550084DA57F
+data8 0xBE6DB03FD1D09A20, 0xBE60CBC42161B2C1
+data8 0x3E56ED9C78A2B771, 0xBE508E319D0FA795
+data8 0xBE59482AFD1A54E9, 0xBE2A17CEB07FD23E
+data8 0x3E68BF5C17365712, 0x3E3956F9B3785569
+LOCAL_OBJECT_END(Constants_Tgammal_exp_64_W2)
+
+
+
+LOCAL_OBJECT_START(Constants_Tgammal_poly)
+
+// Polynomial coefficients for the tgammal(x), 2 <= |x| < 3 
+//A5 = 2.8360780594841213109180699803e-02 + 2.2504152891014320704380000000e-19
+data8 0x3F9D0A9BC49353D2, 0x3C109AEA0F23CE2D
+//A4 = 1.0967323400216015538699565468e-01 + 9.9225166000430644587276000000e-18
+data8 0x3FBC138B89492C5B, 0x3C66E138506D5652
+//A3 = 2.5387124684114281691904579930e-01 + 2.2667777637607113205546600000e-17
+data8 0x3FD03F6D2FA4F4F8, 0x3C7A2258DA8CD8B1
+data8 0xC5866457328BC39B, 0x00003FE3 //A20 = 5.7487331964156762795056629138e-09
+data8 0xE93D9F1ACD59C929, 0x0000BFE4 //A19= -1.3576396100397317396956445658e-08
+data8 0xE33389C8F6CBA813, 0x00003FE5 //A18 = 2.6449714924964597501721434271e-08
+data8 0x8FE7B25B9CD26D2A, 0x0000BFE7 //A17= -6.7011017946055513660266853311e-08
+data8 0xB89F4721BFBC15B0, 0x00003FE8 //A16 = 1.7194280320370423615174419192e-07
+data8 0xE49CBDC1874EBABA, 0x0000BFE9 //A15= -4.2582353660153782928729466776e-07
+data8 0x913AF50A336129CA, 0x00003FEB //A14 = 1.0820500665257088283172211622e-06
+data8 0xABCF0F7313B3B332, 0x0000BFEC //A13= -2.5601510627710417669568115706e-06
+//A2 = 6.5455857798133676439533701341e-01 + 1.3292075193155190798867000000e-18
+data8 0x3FE4F224D4B7E01C, 0x3C3885014A2B8319
+//A1 = 9.3473452162608550164435428087e-01 + 3.2785154201417136611642400000e-17
+data8 0x3FEDE9585F1A7093, 0x3C82E63C1B5028BF
+//A0 = 1.3293403881791368004172682049e+00 + 2.2005689328949279282607500000e-16
+data8 0x3FF544FA6D47B38F, 0x3CAFB6AA9829E81F
+data8 0xF3668F799997C76D, 0x00003FED //A12 = 7.2539039479124273660331538367e-06
+data8 0xD6C6BBD54CDEAEB1, 0x0000BFEE //A11= -1.2801665282681088568639378920e-05
+data8 0x809E4763B06F6883, 0x00003FF1 //A10 = 6.1329973609906572700697893187e-05
+data8 0x8443B000F8F9A71A, 0x00003FED //A9 = 3.9417864189995544394564413428e-06
+data8 0xC5C7E6D62A6991D8, 0x00003FF4 //A8 = 7.5447412886334708803357581519e-04
+data8 0xD2AF690725C62D88, 0x00003FF5 //A7 = 1.6074004848394703022110823298e-03
+data8 0xAA44E635D4B7B682, 0x00003FF8 //A6 = 1.0392403425906843901680697839e-02
+//
+// Polynomial coefficients for the tgammal(x), 4 <= |x| < 5 
+//A5 = 1.1600674810589555185913468449e+00 + 3.0229979112715124660731000000e-17
+data8 0x3FF28FA2EB44D22E, 0x3C816D285234C815
+//A4 = 3.1374268565470946334983182169e+00 + 1.3694868953995008497659600000e-16
+data8 0x400919734073B1E1, 0x3CA3BC83CD7E9565
+//A3 = 7.0834593993741057360580271052e+00 + 3.3899702569039156457249800000e-16
+data8 0x401C5576617B6C1F, 0x3CB86D6431213296
+data8 0xA4A5FB49C094966B, 0x00003FDA //A20 = 9.3591760106637809309720130828e-12
+data8 0xA9260DA0F51D7ED8, 0x00003FDD //A19 = 7.6919898428091669411809372180e-11
+data8 0xA16441DFB14BD6E1, 0x00003FE0 //A18 = 5.8713933014370867331213494535e-10
+data8 0x95F098D9C2234849, 0x00003FE3 //A17 = 4.3638234584169302324461091035e-09
+data8 0x8581817400E5AD2B, 0x00003FE6 //A16 = 3.1084260332429955234755367839e-08
+data8 0xE272940E373EBE15, 0x00003FE8 //A15 = 2.1089573544273993580820317236e-07
+data8 0xB6B3391145D226FB, 0x00003FEB //A14 = 1.3612217421122787182942706259e-06
+data8 0x8B9428C4DF95FCD5, 0x00003FEE //A13 = 8.3195416382628990683949003789e-06
+//A2 = 1.2665135075272345943631080445e+01 + 9.8721896915973874255877000000e-16
+data8 0x4029548C95A76F38, 0x3CD1C8BE715B8E13
+//A1 = 1.6154969393303069580269948347e+01 + 9.6850518810678379641029000000e-16
+data8 0x403027AC12FC1E1E, 0x3CD172711C15501B
+//A0 = 1.1631728396567448058362970187e+01 + 8.7078125362814179268673000000e-16
+data8 0x40274371E7866C65, 0x3CCF5F8A1A5FACA0
+data8 0xC94A903114272C03, 0x00003FF0 //A12 = 4.7991576836334427243159066630e-05
+data8 0x8844262960E04BE6, 0x00003FF3 //A11 = 2.5990716419283017929486175141e-04
+data8 0xAC5418A76767678D, 0x00003FF5 //A10 = 1.3147621245497801180184809726e-03
+data8 0xCA231B6EFE959132, 0x00003FF7 //A9 = 6.1687358811367989146517222415e-03
+data8 0xDA38E39C13819D2A, 0x00003FF9 //A8 = 2.6638454961912040754759086920e-02
+data8 0xD696DF8D8389FE53, 0x00003FFB //A7 = 1.0477995539298934056097943975e-01
+data8 0xBDD5C153048BC435, 0x00003FFD //A6 = 3.7077144754791605130056406006e-01
+//
+// Polynomial coefficients for the tgammal(x), 6 <= |x| < 7 
+//A5 = 6.7169398121054200601065531373e+01 + 2.9481001527213915901489600000e-15
+data8 0x4050CAD76B377BA0, 0x3CEA8DDB2B2DE93E
+//A4 = 1.6115104376855398982115730178e+02 + 1.3422421925418824418257300000e-14
+data8 0x406424D559BDC687, 0x3D0E397FDB5B33DC
+//A3 = 3.1812194028053562533386866562e+02 + 3.9881709875858650942409600000e-14
+data8 0x4073E1F377A6CF73, 0x3D26738F63FE9C4C
+data8 0xD6E1B5FF90CAABD3, 0x00003FE1 //A20 = 1.5634700199277480081025480635e-09
+data8 0xD451987B925DD37E, 0x00003FE4 //A19 = 1.2358576813211397717382327174e-08
+data8 0xBFC151B67FA58E6B, 0x00003FE7 //A18 = 8.9292951435632759686382657901e-08
+data8 0xA9034C5E1D67572E, 0x00003FEA //A17 = 6.2962205718327848327368724720e-07
+data8 0x8E40F6EAA30A71EC, 0x00003FED //A16 = 4.2394926442967995119170095258e-06
+data8 0xE3C3541B03A1C350, 0x00003FEF //A15 = 2.7151465666109594512258841637e-05
+data8 0xACE2E58436B2DDCE, 0x00003FF2 //A14 = 1.6487723793339152877117376243e-04
+data8 0xF7EAF8D8D1CAA3D1, 0x00003FF4 //A13 = 9.4573158112768812533636022369e-04
+//A2 = 4.8664351544258869353143381886e+02 + 4.7424047995944376868895400000e-14
+data8 0x407E6A4BD6D9463B, 0x3D2AB2868D79E192
+//A1 = 5.1615277644992545447166776285e+02 + 3.0901956935588717379242200000e-14
+data8 0x40802138E2DC003B, 0x3D216570FB601AEA
+//A0 = 2.8788527781504433278314536437e+02 + 2.8213174117085164944959600000e-14
+data8 0x4071FE2A1911F7D6, 0x3D1FC3E4CF4DB5AF
+data8 0xA72B88E48D3D1BAB, 0x00003FF7 //A12 = 5.1016252919939028020562237471e-03
+data8 0xD2EFB1067DB4FFB2, 0x00003FF9 //A11 = 2.5749059441230515023024615917e-02
+data8 0xF788AF9522205C24, 0x00003FFB //A10 = 1.2086617635601742290221382521e-01
+data8 0x861A6CE06CB29EAF, 0x00003FFE //A9 = 5.2384071807018493367136112163e-01
+data8 0x84FBDE0947718B58, 0x00004000 //A8 = 2.0778727617851237754568261869e+00
+data8 0xEEC1371E265A2C3A, 0x00004001 //A7 = 7.4610858525146049022238037342e+00
+data8 0xBF514B9BE68ED59D, 0x00004003 //A6 = 2.3914694993947572859629197920e+01
+//
+// Polynomial coefficients for the tgammal(x), 8 <= |x| < 9 
+//A5 = 5.8487447114416836484451778233e+03 + 4.7365465221455983144182900000e-13
+data8 0x40B6D8BEA568B6FD, 0x3D60AA4D44C2589B
+//A4 = 1.2796464063087094473303295672e+04 + 1.2373341702514898266244200000e-12
+data8 0x40C8FE3B666B532D, 0x3D75C4752C5B4783
+//A3 = 2.2837606581322281272150576115e+04 + 2.6598064610627891398831000000e-13
+data8 0x40D64D66D23A7764, 0x3D52B77B3A10EA5C
+data8 0xB23418F75B0BE22A, 0x00003FE9 //A20 = 3.3192989594206801808678663868e-07
+data8 0xA984A7BC8B856ED2, 0x00003FEC //A19 = 2.5260177918662350066375115788e-06
+data8 0x921A49729416372C, 0x00003FEF //A18 = 1.7416797068239475136398213598e-05
+data8 0xF5BB9415CC399CA4, 0x00003FF1 //A17 = 1.1717449586392814601938207599e-04
+data8 0xC50B91A40B81F9DF, 0x00003FF4 //A16 = 7.5166775151159345732094429036e-04
+data8 0x96002572326DB203, 0x00003FF7 //A15 = 4.5776541559407384162139204300e-03
+data8 0xD81A1A595E4157BA, 0x00003FF9 //A14 = 2.6379634345126284099420760736e-02
+data8 0x92B700D0CFECADD8, 0x00003FFC //A13 = 1.4327622675407940907282658100e-01
+//A2 = 3.1237895525940199149772524834e+04 + 3.1280450505163186432331700000e-12
+data8 0x40DE8179504C0878, 0x3D8B83BB33FBB766
+//A1 = 2.9192841741344487672904506326e+04 + 7.9300780509779689630767000000e-13
+data8 0x40DC8235DF171691, 0x3D6BE6C780EE54DF
+//A0 = 1.4034407293483411194756627083e+04 + 1.4038139346291543309253700000e-12
+data8 0x40CB693422315F90, 0x3D78B23746113FCE
+data8 0xBAE50807548BC711, 0x00003FFE //A12 = 7.3005724123917935346868107005e-01
+data8 0xDE28B1F57E68CFB6, 0x00004000 //A11 = 3.4712338349724065462763671443e+00
+data8 0xF4DCA5A5FF901118, 0x00004002 //A10 = 1.5303868912154033908205911714e+01
+data8 0xF85AAA1AD5E84E5E, 0x00004004 //A9 = 6.2088539523416399361048051373e+01
+data8 0xE5AA8BB1BF02934D, 0x00004006 //A8 = 2.2966619406617480799195651466e+02
+data8 0xBF6CFEFD67F59845, 0x00004008 //A7 = 7.6570306334640770654588802417e+02
+data8 0x8DB5D2F001635C29, 0x0000400A //A6 = 2.2673639984182571062068713002e+03
+//
+// Polynomial coefficients for the tgammal(x), 10 <= |x| < 11 
+//A5 = 7.2546009516580589115619659424e+05 + 1.0343348865365065212891728822e-10
+data8 0x412623A830B99290, 0x3DDC6E7C157611C4
+//A4 = 1.4756292870840241666883230209e+06 + 8.1516565365333844166705674775e-11
+data8 0x4136842D497E56AF, 0x3DD66837E4C3F9EE
+//A3 = 2.4356116926500420086085796356e+06 + 3.5508860076560925641351069404e-10
+data8 0x4142950DD8A8C1AF, 0x3DF866C8E3DD0980
+data8 0xB7FD0D1EEAC38EB4, 0x00003FF1 //A20 = 8.7732544640091602721643775932e-05
+data8 0xA9345C64AC750AE9, 0x00003FF4 //A19 = 6.4546407626804942279126469603e-04
+data8 0x8BEABC81BE1E93C9, 0x00003FF7 //A18 = 4.2699261134524096128048819443e-03
+data8 0xE1CD281EDD7315F8, 0x00003FF9 //A17 = 2.7563646660310313164706189622e-02
+data8 0xAD8A5BA6D0FD9758, 0x00003FFC //A16 = 1.6947310643831556048460963841e-01
+data8 0xFCDDA464AD3F182E, 0x00003FFE //A15 = 9.8775699098518676937088606052e-01
+data8 0xAE0DCE2F7B60D1AE, 0x00004001 //A14 = 5.4391852309591064073782104822e+00
+data8 0xE1745D9ABEB8D1A7, 0x00004003 //A13 = 2.8181819161363002758615770457e+01
+//A2 = 3.0619656223573554307222366333e+06 + 1.0819940302945474471259520006e-10
+data8 0x41475C66CFA967E4, 0x3DDDBDDB2A27334B
+//A1 = 2.6099413018962685018777847290e+06 + 3.6851882860056025385268615240e-10
+data8 0x4143E98AA6A48974, 0x3DF9530D42589AB6
+//A0 = 1.1332783889487853739410638809e+06 + 1.9339350553312096248591829758e-10
+data8 0x41314ADE639225C9, 0x3DEA946DD6C2C8D3
+data8 0x88BCFAAE71812A1C, 0x00004006 //A12 = 1.3673820009490115307300592012e+02
+data8 0x9A770F5AB540A326, 0x00004008 //A11 = 6.1786031215382040427126476507e+02
+data8 0xA170C1D2C6B413FC, 0x0000400A //A10 = 2.5830473201524594051391525170e+03
+data8 0x9AE56061CB02EB55, 0x0000400C //A9 = 9.9133441230507404119297200255e+03
+data8 0x872390769650FBE2, 0x0000400E //A8 = 3.4595564309496661629764193479e+04
+data8 0xD3E5E8D6923910C1, 0x0000400F //A7 = 1.0849181904819284819615140521e+05
+data8 0x930D70602F50B754, 0x00004011 //A6 = 3.0116351174131169193070583741e+05
+//
+// Polynomial coefficients for the tgammal(x), 12 <= |x| < 13 
+//A5 = 1.2249876249976964294910430908e+08 + 6.0051348061679753770848000000e-09
+data8 0x419D34BB29FFC39D, 0x3E39CAB72E01818D
+//A4 = 2.3482765927605420351028442383e+08 + 1.1874729051592862323641700000e-08
+data8 0x41ABFE5F168D56FA, 0x3E4980338AA7B04B
+//A3 = 3.6407329688125067949295043945e+08 + 2.6657200942150363994658700000e-08
+data8 0x41B5B35150E199A5, 0x3E5C9F79C0EB5300
+data8 0xE89AE0F8D726329D, 0x00003FF9 //A20 = 2.8394164465429105626588451540e-02
+data8 0xCF90981F86E38013, 0x00003FFC //A19 = 2.0270002071785908652476845915e-01
+data8 0xA56C658079CA8C4A, 0x00003FFF //A18 = 1.2923704984019263122675412350e+00
+data8 0x80AEF96A67C5615A, 0x00004002 //A17 = 8.0427183300456238315262463506e+00
+data8 0xBE886D7529678931, 0x00004004 //A16 = 4.7633230047847868242503413461e+01
+data8 0x858EDBA4CE2F7508, 0x00004007 //A15 = 2.6711607799594541057655957154e+02
+data8 0xB0B0A3AF388274F0, 0x00004009 //A14 = 1.4135199810126975119809102782e+03
+data8 0xDBA87137988751EF, 0x0000400B //A13 = 7.0290552818218513870879313985e+03
+//A2 = 4.2828433593031734228134155273e+08 + 3.9760422293645854535247300000e-08
+data8 0x41B98719AFEE2947, 0x3E6558A17E0D3007
+//A1 = 3.4008253676084774732589721680e+08 + 1.2558352335001093116071000000e-09
+data8 0x41B4453F68C2C6EB, 0x3E159338C5BC7EC3
+//A0 = 1.3684336546556583046913146973e+08 + 2.6786516700381562934240300000e-08
+data8 0x41A05020CAEE5EA5, 0x3E5CC3058A858579
+data8 0xFF5E3940FB4BA576, 0x0000400D //A12 = 3.2687111823895439312116108631e+04
+data8 0x8A08C124C7F74B6C, 0x00004010 //A11 = 1.4134701786994123329786229006e+05
+data8 0x89D701953540BFFB, 0x00004012 //A10 = 5.6459209892773907605385652281e+05
+data8 0xFC46344B3116C3AD, 0x00004013 //A9 = 2.0666305367147234406757715163e+06
+data8 0xD183EBD7A400151F, 0x00004015 //A8 = 6.8653979211730981618367536737e+06
+data8 0x9C083A40742112F4, 0x00004017 //A7 = 2.0451444503543981795037456447e+07
+data8 0xCD3C475B1A8B6662, 0x00004018 //A6 = 5.3801245423495149598177886823e+07
+LOCAL_OBJECT_END(Constants_Tgammal_poly)
+
+
+LOCAL_OBJECT_START(Constants_Tgammal_poly_splitted)
+
+// Polynomial coefficients for the tgammal(x), 1 <= |x| < 1.25 
+//A5 = -9.8199506890310417350775651357e-01+ -3.2546247786122976510752200000e-17
+data8 0xBFEF6C80EC38B509, 0xBC82C2FA7A3DE3BD
+//A4 = 9.8172808683439960475425323239e-01 + 4.4847611775298520359811400000e-17
+data8 0x3FEF6A51055096B0, 0x3C89DA56DE95EFE4
+//A3 = -9.0747907608088618225394839101e-01 +-1.0244057366544064435443970000e-16
+data8 0xBFED0A118F324B62, 0xBC9D86C7B9EBCFFF
+data8 0xB8E3FDAA66CC738E, 0x00003FFB //A20 = 9.0278608095877488976217714815e-02
+data8 0xA76067AE1738699C, 0x0000BFFD //A19 =-3.2690738678103132837070881737e-01
+data8 0x9D66B13718408C44, 0x00003FFE //A18 = 6.1484820933424283818320582920e-01
+data8 0xD4AC67BBB4AE5599, 0x0000BFFE //A17 =-8.3075569470082063491389474937e-01
+data8 0xF1426ED1C1488DB3, 0x00003FFE //A16 = 9.4241993542644505594957058785e-01
+data8 0xFC12EB07AA6F4B6B, 0x0000BFFE //A15 =-9.8466366707947121954333549690e-01
+data8 0xFF2B32CFE5B0DDC8, 0x00003FFE //A14 = 9.9675290656677214804168895915e-01
+data8 0xFFD8E7E6FF3662EA, 0x0000BFFE //A13 =-9.9940347089360552383472582319e-01
+//A2 = 9.8905599532797250361682017683e-01 + 5.1760162410376024240867300000e-17
+data8 0x3FEFA658C23B1578, 0x3C8DD673A61F6FE7
+//A1 = -5.7721566490153275452712478000e-01+ -1.0607935612223465065923310000e-16
+data8 0xBFE2788CFC6FB618, 0xBC9E9346622D53B7
+//A0 = 9.9999999999999988897769753748e-01 + 1.1102230245372554544790880000e-16
+data8 0x3FEFFFFFFFFFFFFF, 0x3C9FFFFFFFF51E4E
+data8 0xFFF360DF628F0BC9, 0x00003FFE //A12 = 9.9980740979895815468216470840e-01
+data8 0xFFEF8F9A72B40480, 0x0000BFFE //A11 = -9.9974916001038145045939523470e-01
+data8 0xFFE037B8C7E39952, 0x00003FFE //A10 = 9.9951504002809911822597567307e-01
+data8 0xFFC01E08F348BED2, 0x0000BFFE //A9 = -9.9902522772325406705059517941e-01
+data8 0xFF83DAC83119B52C, 0x00003FFE //A8 = 9.9810569179053383842734164901e-01
+data8 0xFEF9F8AB891ABB24, 0x0000BFFE //A7 = -9.9600176036720260345608796766e-01
+data8 0xFE3F0537573C8235, 0x00003FFE //A6 = 9.9314911461918778676646301341e-01
+//
+// Polynomial coefficients for the tgammal(x), 1.25 <= |x| < 1.75 
+//A5 = -7.7523052299853054125655660300e-02+ -1.2693512521686721504433600000e-17
+data8 0xBFB3D88CFE50601B, 0xBC6D44ED60EE2170
+//A4 = 1.4464535904462152982041800442e-01 + 2.5426820829345729856648800000e-17
+data8 0x3FC283BD374EB2A9, 0x3C7D50AC436187C3
+//A3 = -1.0729480456477220873257039102e-01+ -6.2429894945456418196551000000e-18
+data8 0xBFBB77AC1CA2EBA5, 0xBC5CCA6BCC422D41
+data8 0xF732D2689F323283, 0x00003FF2 //A20 = 2.3574688251652899567587145422e-04
+data8 0xB6B00E23DE89D13A, 0x0000BFF3 //A19 =-3.4844916488842618776630058875e-04
+data8 0xE98396FE4A1B2799, 0x00003FF3 //A18 =4.4539265198744452020440735977e-04
+data8 0xAF8D235A640DB1A2, 0x0000BFF4 //A17 =-6.6967514303333563295261178346e-04
+data8 0x8513B736C918B261, 0x00003FF5 //A16 = 1.0152970456990865810615917715e-03
+data8 0xC790A1A2C78D8E17, 0x0000BFF5 //A15 =-1.5225598630329403515321688394e-03
+data8 0x959706CFA638CDE2, 0x00003FF6 //A14 = 2.2825614575133879623648932383e-03
+data8 0xE050A6021E129860, 0x0000BFF6 //A13 =-3.4227757733947066666295285936e-03
+//A2 = 4.1481345368830113695679528973e-01 + 3.1252439808354284892632100000e-17
+data8 0x3FDA8C4DBA620D56, 0x3C82040BCB483C76
+//A1 = 3.2338397448885010387886751460e-02 + 3.4437825798552300531443100000e-18
+data8 0x3FA08EA88EE561B1, 0x3C4FC366D6C64806
+//A0 = 8.8622692545275794095971377828e-01 + 7.2689375867553992399219000000e-17
+data8 0x3FEC5BF891B4EF6A, 0x3C94F3877D311C0C
+data8 0xA8275AADC09D16FC, 0x00003FF7 //A12 = 5.1316445128621071486146117136e-03
+data8 0xFBFE2CE9215267A2, 0x0000BFF7 //A11= -7.6902121820788373000579382408e-03
+data8 0xBCC8EEAB67ECD91D, 0x00003FF8 //A10 = 1.1522515369164312742737727262e-02
+data8 0x8D1614BB97E5E8C2, 0x0000BFF9 //A9 = -1.7222443097804730395560633583e-02
+data8 0xD3A963578BE291E3, 0x00003FF9 //A8 = 2.5837606456090186343624210891e-02
+data8 0x9BA7EAE64C42FDF7, 0x0000BFFA //A7 = -3.8001935555045161419575037512e-02
+data8 0xF0115BA1A77607E7, 0x00003FFA //A6 = 5.8610303817173477119764956736e-02
+//
+// Polynomial coefficients for the tgammal(x), 1.75 <= |x| < 2.0 
+//A5 = 2.6698206874501426502654943818e-04 + 3.4033756836921062797887300000e-20
+data8 0x3F317F3740FE2A68, 0x3BE417093234B06E
+//A4 = 7.4249010753513894345090307070e-02 + 3.9810018444482764697014200000e-18
+data8 0x3FB301FBB0F25A92, 0x3C525BEFFABB622F
+//A3 = -8.1576919247086265851720554565e-02+ -5.2716624487804746360745000000e-19
+data8 0xBFB4E239984650AC, 0xBC2372F1C4F276FF
+data8 0xFEF3AEE71038E9A3, 0x00003FEB //A20 = 1.8995395865421509009969188571e-06
+data8 0xA11CFA2672BF876A, 0x0000BFEB //A19 =-1.2003868221414015771269244270e-06
+data8 0xF8E107215DAE2164, 0x00003FEC //A18 = 3.7085863210303833432006027217e-06
+data8 0xBCDDD3FC011EF7D6, 0x00003FEC //A17 = 2.8143303971756051015245433043e-06
+data8 0x8683C4687FA22E68, 0x00003FEE //A16 = 8.0177018464360416764308252462e-06
+data8 0xFDA09E5D33E32968, 0x00003FEE //A15 = 1.5117372062443781157389064848e-05
+data8 0xFFB00D0CFF4089B4, 0x00003FEF //A14 = 3.0480348961227424242198174995e-05
+data8 0xFEF6C39566785085, 0x00003FF0 //A13 = 6.0788135974125244644334004947e-05
+//A2 = 4.1184033042643969357854416558e-01 + 1.2103396182129232634761000000e-18
+data8 0x3FDA5B978B96BEBF, 0x3C3653AAD0A139E4
+//A1 = -4.2278433509846713445057275749e-01+ -4.9429151528135657430413000000e-18
+data8 0xBFDB0EE6072093CE, 0xBC56CB907027554F
+//A0 = 1.0000000000000000000000000000e+00 + 1.0969171200000000000000000000e-31
+data8 0x3FF0000000000000, 0x3981CC6A5B20B4D5
+data8 0xFF2B7BA9A8D68C37, 0x00003FF1 //A12 = 1.2167446884801403650547161615e-04
+data8 0xFCA53468E3692EF1, 0x00003FF2 //A11 = 2.4094136329542400976250900707e-04
+data8 0x808D698A9C993615, 0x00003FF4 //A10 = 4.9038845704938303659791698883e-04
+data8 0xF10F8E3FB8BB4AFB, 0x00003FF4 //A9 = 9.1957383840999861214472423976e-04
+data8 0x89E224E42F93F005, 0x00003FF6 //A8 = 2.1039333407187324139473634747e-03
+data8 0xBAF374824937A323, 0x00003FF6 //A7 = 2.8526458211545152218493600470e-03
+data8 0xB6BF7564F52140C6, 0x00003FF8 //A6 = 1.1154045718131014476684982178e-02
+//
+// Polynomial coefficients for the tgammal(x), 0.0 <= |x| < 0.125 
+//A5 = -9.8199506890314514073736518185e-01+ -5.9363811993837985890950900000e-17
+data8 0xBFEF6C80EC38B67A, 0xBC911C46B447C81F
+//A4 = 9.8172808683440015986576554496e-01 + 2.7457414262802803699834200000e-17
+data8 0x3FEF6A51055096B5, 0x3C7FA7FF90ACAD1F
+//A3 = -9.0747907608088618225394839101e-01 + -1.0676255850934306734701780000e-16
+data8 0xBFED0A118F324B62, 0xBC9EC5AFB633438D
+data8 0x9217E83FA207CB80, 0x00003FFD //A20 = 2.8533864762086088781083621561e-01
+data8 0xA8DABFA52FDF03EC, 0x0000BFFE //A19= -6.5958783896337186303285832783e-01
+data8 0xE331ED293AF39F9B, 0x00003FFE //A18 = 8.8748056656454687449654731184e-01
+data8 0xF9163C5DDB52419D, 0x0000BFFE //A17= -9.7299554149078295602977718525e-01
+data8 0xFEC0A1C672CB9265, 0x00003FFE //A16 = 9.9512683005268190987854104489e-01
+data8 0xFFD2D65B8EA7B5F4, 0x0000BFFE //A15= -9.9931087241443958201592847861e-01
+data8 0xFFF93AA39EE53445, 0x00003FFE //A14 = 9.9989668364186884793382816496e-01
+data8 0xFFFB99A9A3F5F480, 0x0000BFFE //A13= -9.9993286506283835663204999212e-01
+//A2 = 9.8905599532797250361682017683e-01 + 5.1778575360788420716540100000e-17
+data8 0x3FEFA658C23B1578, 0x3C8DD92B45408D07
+//A1 = -5.7721566490153275452712478000e-01+ -1.0607938730998824663273110000e-16
+data8 0xBFE2788CFC6FB618, 0xBC9E9346F8FDE55B
+//A0 = 9.9999999999999988897769753748e-01 + 1.1102230246251564036631420000e-16
+data8 0x3FEFFFFFFFFFFFFF, 0x3C9FFFFFFFFFFFFF
+data8 0xFFF7FEBB545812C1, 0x00003FFE //A12 = 9.9987785409425126648628395084e-01
+data8 0xFFF00C02E943A3F2, 0x0000BFFE //A11= -9.9975657530855116454438747397e-01
+data8 0xFFE0420AADC53820, 0x00003FFE //A10 = 9.9951565514290485919027183699e-01
+data8 0xFFC01EB42EF27EEB, 0x0000BFFE //A9 = -9.9902526759155739377365522320e-01
+data8 0xFF83DAD0BF23FF12, 0x00003FFE //A8 = 9.9810569378236378800364235948e-01
+data8 0xFEF9F8ABDBCDB2F3, 0x0000BFFE //A7 = -9.9600176044241699109053158187e-01
+data8 0xFE3F05375988491D, 0x00003FFE //A6 = 9.9314911462127599008937257662e-01
+LOCAL_OBJECT_END(Constants_Tgammal_poly_splitted)
+
+.align 64
+LOCAL_OBJECT_START(Constants_Tgammal_common)
+// Positive overflow value
+data8 0x3FE0000000000000 // 0.5
+data8 0x3FF8000000000000 // 1.5
+data8 0x3FD0000000000000 // 0.25
+data8 0x0000000000000000 // 0
+data8 0xDB718C066B352E21, 0x00004009 // Positive overflow value
+LOCAL_OBJECT_END(Constants_Tgammal_common)
+
+
+
+//=======================================================
+// Lgamma registers
+
+// General Purpose Registers
+GR_l_Log_Table        = r33
+GR_l_Log_Table1       = r34
+GR_l_BIAS             = r34
+GR_l_Index1           = r35
+GR_l_Index2           = r36
+GR_l_signif_Z         = r37 
+GR_l_X_0              = r38
+GR_l_X_1              = r39
+GR_l_X_2              = r40
+GR_l_Z_1              = r41
+GR_l_Z_2              = r42
+GR_l_N                = r43
+GR_l_Index3           = r44
+GR_l_Stirling_Table   = r45
+GR_l_N_Unbiased       = r46
+
+// Floating Point Registers
+FR_l_logl_X            = f8
+
+FR_l_h_3              = f10
+FR_l_poly_hi          = f10
+FR_l_W                = f11
+FR_l_S                = f12
+FR_l_GS_hi            = f13
+FR_l_Y_lo             = f13
+FR_l_r_cor            = f14
+FR_l_G_1              = f15
+FR_l_G                = f15
+FR_l_H_1              = f32
+FR_l_H                = f32
+FR_l_h                = f33
+FR_l_h_1              = f33
+FR_l_N                = f33
+FR_l_G_2              = f34
+FR_l_H_2              = f35
+FR_l_h_2              = f36
+FR_l_G_3              = f37
+FR_l_log2_hi          = f38
+FR_l_GS_lo            = f39
+FR_l_H_3              = f40
+FR_l_float_N          = f41
+FR_l_Q_4              = f42
+FR_l_Q_3              = f43
+FR_l_Q_2              = f44
+FR_l_Q_1              = f45
+FR_l_Q_5              = f46
+FR_l_Q_6              = f47
+FR_l_log2_lo          = f48
+FR_l_r                = f49
+FR_l_poly_lo          = f50
+FR_l_poly             = f51
+FR_l_rsq              = f52
+FR_l_Y_lo_res         = f53
+
+FR_l_Y0               = f55  
+FR_l_Q0               = f56  
+FR_l_E0               = f57  
+FR_l_E2               = f58  
+FR_l_E1               = f59  
+FR_l_Y1               = f60  
+FR_l_E3               = f61  
+FR_l_Y2               = f62  
+
+FR_l_Z                = f63    
+FR_l_Z2               = f64    
+FR_l_Z4               = f65    
+FR_l_Z8               = f66    
+                               
+FR_l_CH               = f67    
+FR_l_CL               = f68    
+
+FR_l_B2               = f69  
+FR_l_B4               = f70  
+FR_l_B6               = f71  
+FR_l_B8               = f72  
+FR_l_B10              = f73  
+FR_l_B12              = f74  
+FR_l_B14              = f75  
+FR_l_B16              = f76  
+FR_l_B18              = f77  
+FR_l_Half             = f78  
+FR_l_SS               = f79
+FR_l_AbsX_m_Half      = f80
+FR_l_CXH              = f81
+FR_l_CXL              = f82
+FR_l_SSCXH            = f83
+FR_l_SSCXL            = f84
+FR_l_XYH              = f85
+FR_l_XYL              = f86
+FR_l_Temp             = f87
+
+FR_l_logl_YHi         = f88
+FR_l_logl_YLo         = f89
+
+FR_l_SignedXYH        = f123
+
+FR_l_AbsX             = f127
+
+
+
+//=======================================================
+// Negative part registers
+
+// General Purpose Registers
+GR_n_sin_Table        = r47
+GR_n_XN               = r48
+
+// Float point registers
+FR_n_IXNS             = f125
+FR_n_IXN              = f126
+
+FR_n_XNS              = f90
+FR_n_XS               = f91
+FR_n_XS2              = f92
+FR_n_XS2L             = f93
+FR_n_XS4              = f94
+FR_n_XS7              = f95
+FR_n_XS8              = f96
+FR_n_TT               = f97
+FR_n_TH               = f98
+FR_n_TL               = f99
+
+FR_n_A2H              = f100     
+FR_n_A2L              = f101     
+FR_n_A1H              = f102     
+FR_n_A1L              = f103     
+FR_n_A9               = f104     
+FR_n_A8               = f105     
+FR_n_A7               = f106     
+FR_n_A6               = f107     
+FR_n_A5               = f108     
+FR_n_A4               = f109     
+FR_n_A3               = f110     
+
+FR_n_PolyH            = f111
+FR_n_PolyL            = f112
+
+FR_n_Poly1H           = f113
+FR_n_SinxH            = f113 // the same as FR_n_Poly1H
+FR_n_Poly1L           = f114
+FR_n_SinxL            = f114 // the same as FR_n_Poly1L
+
+FR_n_Tail             = f115
+FR_n_NegOne           = f116
+
+FR_n_Y0               = f117
+
+FR_n_Q0               = f118   
+FR_n_E0               = f119   
+                               
+FR_n_E2               = f120   
+FR_n_E1               = f121   
+                               
+FR_n_Y1               = f55    
+FR_n_E3               = f56    
+                               
+FR_n_Y2               = f57    
+FR_n_R0               = f58    
+
+FR_n_E4               = f59
+FR_n_RcpResH          = f60
+
+FR_n_Y3               = f61
+FR_n_R1               = f62
+FR_n_Temp             = f63
+
+FR_n_RcpResL          = f64
+
+FR_n_ResH             = f65
+FR_n_ResL             = f66
+
+
+
+
+//=======================================================
+// Exp registers
+
+// General Purpose Registers
+GR_e_ad_Arg           = r33
+GR_e_ad_A             = r34
+GR_e_signexp_x        = r35
+GR_e_exp_x            = r35
+GR_e_exp_mask         = r36
+GR_e_ad_W1            = r37
+GR_e_ad_W2            = r38
+GR_e_M2               = r39
+GR_e_M1               = r40
+GR_e_K                = r41
+GR_e_exp_2_mk         = r42
+GR_e_exp_2_k          = r43
+GR_e_ad_T1            = r44
+GR_e_ad_T2            = r45
+GR_e_N_fix            = r46
+GR_e_one              = r47
+GR_e_exp_bias         = r48
+GR_e_sig_inv_ln2      = r49
+GR_e_rshf_2to51       = r50
+GR_e_exp_2tom51       = r51
+GR_e_rshf             = r52
+
+// Floating Point Registers
+FR_e_RSHF_2TO51       = f10
+FR_e_INV_LN2_2TO63    = f11
+FR_e_W_2TO51_RSH      = f12
+FR_e_2TOM51           = f13
+FR_e_RSHF             = f14
+FR_e_Y_hi             = f15
+FR_e_Y_lo             = f32
+FR_e_scale            = f33
+FR_e_float_N          = f34
+FR_e_N_signif         = f35
+FR_e_L_hi             = f36
+FR_e_L_lo             = f37
+FR_e_r                = f38
+FR_e_W1               = f39
+FR_e_T1               = f40
+FR_e_W2               = f41
+FR_e_T2               = f42
+FR_e_W1_p1            = f43
+FR_e_rsq              = f44
+FR_e_A2               = f45
+FR_e_r4               = f46
+FR_e_A3               = f47
+FR_e_poly             = f48
+FR_e_T                = f49
+FR_e_W                = f50
+FR_e_Wp1              = f51
+FR_e_r6               = f52
+FR_e_2_mk             = f53
+FR_e_A1               = f54
+FR_e_T_scale          = f55
+FR_e_result_lo        = f56
+FR_e_W_T_scale        = f57
+FR_e_Wp1_T_scale      = f58
+
+FR_e_expl_Input_X     = f123
+FR_e_expl_Input_Y     = f124
+FR_e_expl_Output_X    = f123
+FR_e_expl_Output_Y    = f124
+
+
+FR_e_expl_Input_AbsX  = f122
+
+
+
+//=======================================================
+// Common registers
+
+// General Purpose Registers
+GR_c_Table            = r53
+GR_c_NegUnderflow     = r54
+GR_c_NegSingularity   = r55
+GR_c_X                = r56
+GR_c_SignBit          = r57
+GR_c_13               = r58
+
+
+// Floating Point Registers
+FR_c_PosOverflow      = f123
+FR_c_XN               = f124
+
+
+//=======================================================
+// Polynomial part registers
+
+// General Purpose Registers
+GR_p_Table            = r59
+GR_p_XN               = r33
+GR_p_Table2           = r34
+GR_p_Int              = r35
+GR_p_Offset           = r36
+GR_p_Offset2          = r38
+GR_p_X_Sgnd           = GR_l_signif_Z // = r37
+GR_p_Exp              = r61
+GR_p_Bias             = r62
+GR_p_0p75             = r63
+
+// Floating Point Registers
+FR_p_AbsX             = FR_l_AbsX // = f127
+FR_p_IXN              = FR_n_IXN  // = f126
+FR_p_XN               = f32
+FR_p_0p5              = f33
+FR_p_1p5              = f34
+FR_p_AbsXM1           = f35
+FR_p_2                = f36
+
+FR_p_A20              = f37 
+FR_p_A19              = f38 
+FR_p_A18              = f39 
+FR_p_A17              = f40 
+FR_p_A16              = f41 
+FR_p_A15              = f42 
+FR_p_A14              = f43 
+FR_p_A13              = f44 
+FR_p_A12              = f45 
+FR_p_A11              = f46 
+FR_p_A10              = f47 
+FR_p_A9               = f48 
+FR_p_A8               = f49 
+FR_p_A7               = f50 
+FR_p_A6               = f51 
+FR_p_A5H              = f52 
+FR_p_A5L              = f53 
+FR_p_A4H              = f54 
+FR_p_A4L              = f55 
+FR_p_A3H              = f56 
+FR_p_A3L              = f57 
+FR_p_A2H              = f58 
+FR_p_A2L              = f59 
+FR_p_A1H              = f60 
+FR_p_A1L              = f61 
+FR_p_A0H              = f62 
+FR_p_A0L              = f63 
+
+FR_p_XR               = f64
+FR_p_XR2              = f65 
+FR_p_XR2L             = f52 
+
+FR_p_XR3              = f58 
+FR_p_XR3L             = f38 
+
+FR_p_XR4              = f42 
+FR_p_XR6              = f40 
+FR_p_XR8              = f37 
+
+FR_p_Poly5H           = f66 
+FR_p_Poly5L           = f67 
+FR_p_Poly4H           = f53 
+FR_p_Poly4L           = f44 
+FR_p_Poly3H           = f41 
+FR_p_Poly3L           = f47 
+FR_p_Poly2H           = f68 
+FR_p_Poly2L           = f54 
+FR_p_Poly1H           = f55 
+FR_p_Poly1L           = f46 
+FR_p_Poly0H           = f39 
+FR_p_Poly0L           = f43 
+                            
+FR_p_Temp5H           = f69 
+FR_p_Temp5L           = f70 
+FR_p_Temp4H           = f71 
+FR_p_Temp4L           = f60 
+FR_p_Temp2H           = f72 
+FR_p_Temp2L           = f73 
+FR_p_Temp1H           = f59 
+FR_p_Temp1L           = f61 
+FR_p_Temp0H           = f49 
+FR_p_Temp0L           = f48 
+FR_p_PolyTail         = f45 
+FR_p_OddPoly0H        = f56 
+FR_p_OddPoly0L        = f51 
+
+FR_p_0p25             = f73
+
+
+//=======================================================
+// Negative polynomial part registers
+// General Purpose Registers
+GR_r_sin_Table        = r47 
+GR_r_sin_Table2       = r60 
+
+// Floating Point Registers
+FR_r_IXNS             = FR_n_IXNS 
+FR_r_IXN              = FR_n_IXN 
+
+FR_r_AbsX             = FR_l_AbsX
+
+FR_r_A9               = f74  
+FR_r_A8               = f75  
+FR_r_A7               = f76  
+FR_r_A6               = f77  
+FR_r_A5               = f78  
+FR_r_A4               = f79  
+FR_r_A3               = f80  
+FR_r_A2H              = f81  
+FR_r_A2L              = f82  
+FR_r_A1H              = f83  
+FR_r_A1L              = f84  
+
+FR_r_XNS              = f85 
+FR_r_XS               = f86 
+FR_r_XS2              = f87 
+FR_r_XS2L             = f88 
+FR_r_XS4              = f89 
+FR_r_XS7              = f90 
+FR_r_XS8              = f91 
+
+FR_r_Tail             = f92
+
+FR_r_TT               = f93 
+FR_r_TH               = f94 
+FR_r_TL               = f95 
+
+FR_r_ResH             = f96
+FR_r_ResL             = f97
+
+FR_r_Res3H            = f98   
+FR_r_Res3L            = f99   
+                              
+FR_r_Res1H            = f100  
+FR_r_Res1L            = f101  
+
+
+
+FR_r_Y0               = f102  
+FR_r_Q0               = f103  
+FR_r_E0               = f104  
+FR_r_E2               = f105  
+FR_r_E1               = f106  
+FR_r_Y1               = f107  
+FR_r_E3               = f108  
+FR_r_Y2               = f109  
+FR_r_R0               = f110  
+FR_r_E4               = f111  
+FR_r_ZH               = f112  
+FR_r_Y3               = f113  
+FR_r_R1               = f114  
+FR_r_ZHN              = f115
+FR_r_ZL               = f115
+FR_r_NegOne           = f116
+
+FR_z_Y0               = f102 
+FR_z_Q0               = f103 
+FR_z_E0               = f104 
+FR_z_E2               = f105 
+FR_z_E1               = f106 
+FR_z_Y1               = f107 
+FR_z_E3               = f108 
+FR_z_Y2               = f109 
+FR_z_R0               = f110 
+FR_z_E4               = f111 
+FR_z_ZH               = f112 
+FR_z_Y3               = f113 
+FR_z_R1               = f114 
+FR_z_ZL               = f115 
+
+
+// General Purpose Registers
+GR_SAVE_PFS           = r32
+GR_DenOverflow        = r33
+GR_u_XN               = r34
+
+GR_SAVE_B0            = r35 
+GR_SAVE_GP            = r36 
+GR_SAVE_SP            = r37 
+
+// Floating Point Registers
+FR_u_IXN              = f34
+
+
+// ERROR HANDLER REGISTERS
+GR_Parameter_X        = r64
+GR_Parameter_Y        = r65
+GR_Parameter_RESULT   = r66
+GR_Parameter_TAG      = r67
+
+FR_RESULT             = f8
+FR_X                  = f32 
+FR_Y                  = f1
+
+
+.section .text
+GLOBAL_LIBM_ENTRY(tgammal)
+{ .mfi
+      alloc         r32            = ar.pfs,0,32,4,0
+      fabs          FR_l_AbsX      = f8 // Get absolute value of X
+      addl          GR_n_sin_Table = @ltoff(Constants_Tgammal_sin), gp 
+}
+{ .mfi 
+      addl          GR_l_Log_Table=@ltoff(Constants_Tgammal_log_80_Z_G_H_h1#),gp
+      nop.f         0
+      addl          GR_l_Stirling_Table = @ltoff(Constants_Tgammal_stirling), gp
+};;
+
+{ .mfi
+      getf.sig      GR_l_signif_Z  = f8 // Significand of X
+      fcvt.fx.s1    FR_n_IXNS      = f8 // Convert to fixed point
+      addl          GR_c_Table     = @ltoff(Constants_Tgammal_common), gp
+}
+{ .mfi
+      ld8           GR_l_Log_Table = [GR_l_Log_Table]
+      nop.f         0
+      addl          GR_p_Table     = @ltoff(Constants_Tgammal_poly), gp
+};;
+
+{ .mfi
+      ld8           GR_n_sin_Table = [GR_n_sin_Table] 
+      fclass.m      p6,p0          = f8,0x1EF // Check x for NaN, 0, INF, denorm
+                                              // NatVal.
+      addl          GR_c_NegSingularity = 0x1003E, r0
+}
+{ .mlx
+      ld8           GR_l_Stirling_Table = [GR_l_Stirling_Table]
+      movl          GR_c_13        = 0x402A000000000000 // 13.0
+};;
+
+{ .mfi
+      getf.d        GR_c_X         = f8 // Double prec. X to general register
+      frcpa.s1      FR_z_Y0,p0     = f1,f8 // y = frcpa(x) (for negatives)
+      extr.u        GR_l_Index1    = GR_l_signif_Z, 59, 4 // = High 4 bits of Z
+}
+{ .mlx
+      ld8           GR_c_Table     = [GR_c_Table]
+      movl          GR_c_SignBit   = 0x8000000000000000 // High bit (sign)
+};;
+
+{ .mfi
+      ld8           GR_p_Table     = [GR_p_Table] 
+      fcmp.lt.s1    p15, p14       = f8,f0 // p14 - positive arg, p15 - negative
+      shl           GR_l_Index1    = GR_l_Index1,5 // Adjust Index1 ptr (x32) 
+}
+{ .mfb
+      adds          GR_c_NegUnderflow = 1765, r0
+      nop.f         0
+(p6)  br.cond.spnt  tgammal_spec  // Spec. values processing branch ////////////
+                                  // (0s, INFs, NANs, NatVals, denormals) //////
+};;
+
+{ .mfi
+      ldfpd         FR_l_CH,FR_l_CL= [GR_l_Stirling_Table], 16 // Load CH, CL
+      fcvt.fx.trunc.s1 FR_n_IXN    = FR_l_AbsX // Abs arg to int by trunc
+      extr.u        GR_l_X_0       = GR_l_signif_Z, 49, 15  //  High 15 bit of Z
+}
+{ .mfi
+      add           GR_l_Index1    = GR_l_Index1,GR_l_Log_Table  // Add offset
+      fma.s1        FR_p_2         = f1, f1, f1 // 2.0
+      andcm         GR_c_X         = GR_c_X, GR_c_SignBit // Remove sign
+};;
+
+{ .mfi 
+      addl       GR_l_Log_Table = @ltoff(Constants_Tgammal_log_80_Z_G_H_h2#), gp
+      fcmp.lt.s1    p10, p0        = FR_l_AbsX, f1 // If |X|<1 then p10 = 1
+      nop.i         0
+}
+{ .mlx
+      ld2           GR_l_Z_1       = [GR_l_Index1],4 // load Z_1 from Index1
+      movl          GR_l_BIAS      = 0x000000000000FFFF // Bias for exponent
+};;
+
+{ .mfi 
+      ld8           GR_l_Log_Table = [GR_l_Log_Table]
+      frcpa.s1      FR_l_Y0, p0    = f1, FR_l_AbsX // y = frcpa(x)
+      nop.i         0
+}
+{ .mfi
+      ldfs          FR_l_G_1       = [GR_l_Index1],4  //  Load G_1 
+      fsub.s1       FR_l_W         = FR_l_AbsX, f1 // W = |X|-1
+      nop.i         0
+};;
+
+{ .mfi 
+      getf.exp      GR_l_N_Unbiased=  FR_l_AbsX // exponent of |X|
+      fmerge.se     FR_l_S         = f1, FR_l_AbsX //  S = merging of X and 1.0
+      cmp.gtu       p11, p0        = GR_c_13, GR_c_X // If 1 <= |X| < 13 
+                                                     // then p11 = 1
+}
+{ .mfb
+      ldfs          FR_l_H_1       = [GR_l_Index1],8 // Load H_1
+      fcvt.xf       FR_n_XNS       = FR_n_IXNS // Convert to FP repr. of int X
+(p10) br.cond.spnt  tgamma_lt_1    // Branch to |X| < 1 path ///////////////////
+};;
+
+{ .mfi 
+      ldfpd         FR_n_A2H, FR_n_A2L = [GR_n_sin_Table], 16 
+      nop.f         0
+      pmpyshr2.u    GR_l_X_1       = GR_l_X_0,GR_l_Z_1,15 // Adjust Index2 (x32)
+}
+{ .mfb 
+      ldfe          FR_l_B2        = [GR_l_Stirling_Table], 16 
+      nop.f         0
+(p11) br.cond.spnt  tgamma_lt_13 // Branch to 1 <= |X| < 13 path ///////////////
+};;
+
+{ .mfi 
+      ldfe          FR_l_h_1       = [GR_l_Index1],0 
+      nop.f         0
+      sub           GR_l_N         = GR_l_N_Unbiased, GR_l_BIAS  //  N - BIAS
+}
+{ .mib 
+      ldfpd         FR_l_B4,FR_l_B6= [GR_l_Stirling_Table], 16 // Load C
+(p15) cmp.geu.unc   p8,p0          = GR_l_N_Unbiased, GR_c_NegSingularity
+(p8)  br.cond.spnt  tgammal_singularity // Singularity for arg < to -2^63 //////
+};;
+
+{ .mmi 
+(p15) ldfpd         FR_n_A1H, FR_n_A1L = [GR_n_sin_Table], 16 
+      ldfpd         FR_l_B8, FR_l_B10  = [GR_l_Stirling_Table], 16
+      add           GR_c_Table         = 0x20, GR_c_Table 
+};;
+
+{ .mfi
+(p15) ldfe          FR_n_A9        = [GR_n_sin_Table], 16 
+      fma.s1        FR_l_Q0        = f1,FR_l_Y0,f0 // Q0 = Y0 
+      nop.i         0
+}
+{ .mfi 
+      ldfpd         FR_l_B12, FR_l_B14 = [GR_l_Stirling_Table], 16 
+      fnma.s1       FR_l_E0        = FR_l_Y0,FR_l_AbsX,f1 // e = 1-b*y 
+      nop.i         0
+};;
+
+{ .mfi 
+(p15) ldfe          FR_n_A8        = [GR_n_sin_Table], 16 
+      fcvt.xf       FR_c_XN        = FR_n_IXN // Convert to FP repr. of int X
+      extr.u        GR_l_Index2    = GR_l_X_1, 6, 4  // Extract Index2 
+}
+{ .mfi 
+      ldfpd         FR_l_B16, FR_l_B18 = [GR_l_Stirling_Table], 16
+      nop.f         0
+      nop.i         0
+};;
+
+{ .mfi 
+(p15) ldfe          FR_n_A7        = [GR_n_sin_Table], 16 
+      fms.s1        FR_l_CXH       = FR_l_CH, f1, FR_l_AbsX // CXH = CH+|X|
+      shl           GR_l_Index2    = GR_l_Index2,5
+}
+{ .mfi 
+      ldfd          FR_l_Half      = [GR_l_Stirling_Table] // Load 0.5
+      nop.f         0
+      nop.i         0
+};;
+
+{ .mfi 
+      add           GR_l_Index2    = GR_l_Index2, GR_l_Log_Table  // Add offset
+      nop.f         0
+      nop.i         0
+}
+{ .mfi 
+(p15) ldfe          FR_n_A6        = [GR_n_sin_Table], 16 
+(p15) fma.s1        FR_n_XS        = FR_l_AbsX , f1, FR_n_XNS // xs = x - int(x)
+      nop.i         0
+};;
+
+{ .mmi 
+      ld2           GR_l_Z_2       = [GR_l_Index2],4 
+      addl          GR_l_Log_Table = @ltoff(Constants_Tgammal_log_80_h3_G_H#),gp
+      nop.i         0
+};;
+
+{ .mfi 
+      ld8           GR_l_Log_Table = [GR_l_Log_Table]
+      fma.s1        FR_l_E2        = FR_l_E0,FR_l_E0,FR_l_E0 // e2 = e+e^2
+      nop.i         0
+}
+{ .mfi 
+      ldfs          FR_l_G_2       = [GR_l_Index2],4 
+      fma.s1        FR_l_E1        = FR_l_E0,FR_l_E0,f0 // e1 = e^2
+      nop.i         0
+};;
+
+{ .mmi 
+      ldfs          FR_l_H_2       = [GR_l_Index2],8  
+(p15) ldfe          FR_n_A5        = [GR_n_sin_Table], 16 
+      nop.i         0
+};;
+
+{ .mfi 
+      setf.sig      FR_l_float_N   = GR_l_N //    float_N = Make N a fp number
+      nop.f         0
+      pmpyshr2.u    GR_l_X_2       = GR_l_X_1,GR_l_Z_2,15  // X_2 = X_1 * Z_2 
+}
+{ .mfi 
+      ldfe          FR_l_h_2       = [GR_l_Index2],0 
+      fma.s1        FR_l_CXL       = FR_l_AbsX, f1, FR_l_CXH // CXL = |X|+CXH
+      add           GR_l_Log_Table1= 0x200, GR_l_Log_Table
+};;
+
+{ .mfi 
+(p15) ldfe          FR_n_A4        = [GR_n_sin_Table], 16 
+(p15) fcmp.eq.unc.s1 p9,p0         = FR_l_AbsX, FR_c_XN //if argument is integer
+                                                        // and negative
+      nop.i         0
+}
+{ .mfi 
+      ldfe          FR_c_PosOverflow = [GR_c_Table],16 //Load pos overflow value
+(p15) fma.s1        FR_n_XS2         = FR_n_XS, FR_n_XS, f0 // xs^2 = xs*xs
+      nop.i         0
+};;
+
+{ .mfi 
+(p15) ldfe          FR_n_A3        = [GR_n_sin_Table], 16 
+      nop.f         0 
+      nop.i         0
+};;
+
+{ .mfi 
+(p15) getf.sig      GR_n_XN        = FR_n_IXN // int(x) to general reg
+      fma.s1        FR_l_Y1        = FR_l_Y0,FR_l_E2,FR_l_Y0 // y1 = y+y*e2
+      nop.i         0 
+}
+{ .mfb 
+      nop.m         0 
+      fma.s1        FR_l_E3        = FR_l_E1,FR_l_E1,FR_l_E0 // e3 = e+e1^2
+(p9)  br.cond.spnt  tgammal_singularity // Singularity for integer /////////////
+                                        // and negative arguments //////////////
+};;
+
+{ .mfi 
+      nop.m         0
+      fms.s1        FR_l_AbsX_m_Half = FR_l_AbsX, f1, FR_l_Half // |x|-0.5
+      extr.u        GR_l_Index2      = GR_l_X_2, 1, 5   //  Get Index3
+};;
+
+{ .mfi 
+      shladd        GR_l_Log_Table1= GR_l_Index2, 2, GR_l_Log_Table1 
+      nop.f         0
+      shladd        GR_l_Index3    = GR_l_Index2,4, GR_l_Log_Table  // Index3
+}
+{ .mfb
+(p15) cmp.gtu.unc   p11, p0        = GR_n_XN, GR_c_NegUnderflow // X < -1765
+      fms.s1        FR_l_CXL       = FR_l_CH, f1, FR_l_CXL // CXL = CH - CXL
+(p11) br.cond.spnt tgammal_underflow // Singularity for negative argument //////
+                                     // at underflow domain (X < -1765) //////
+};;
+
+{ .mfi 
+      addl          GR_l_Log_Table = @ltoff(Constants_Tgammal_log_80_Q#), gp 
+(p15) fma.s1        FR_n_TT        = FR_n_A2L, FR_n_XS2, f0 // T=A2L*x^2
+      tbit.nz.unc   p13, p12       = GR_n_XN, 0x0 // whether [X] odd or even 
+}
+{ .mfi
+      nop.m         0
+(p15) fms.s1        FR_n_XS2L      = FR_n_XS, FR_n_XS, FR_n_XS2 // xs^2 Low part
+      nop.i         0
+};;
+
+{ .mfi 
+      ld8           GR_l_Log_Table = [GR_l_Log_Table] 
+(p15) fma.s1        FR_n_A7        = FR_n_A8,  FR_n_XS2, FR_n_A7 // poly tail
+      nop.i 0 
+}
+{ .mfi 
+      ldfe          FR_l_h_3       = [GR_l_Index3],12 
+(p15) fma.s1        FR_n_XS4       = FR_n_XS2, FR_n_XS2, f0 // xs^4 = xs^2*xs^2
+      nop.i 0 
+};;
+
+{ .mfi 
+      ldfs          FR_l_H_3       = [GR_l_Log_Table1], 0 
+      fma.s1        FR_l_Y2        = FR_l_Y1, FR_l_E3, FR_l_Y0 // y2 = y+y1*e3
+      nop.i         0 
+}
+{ .mfi 
+      ldfs          FR_l_G_3       = [GR_l_Index3], 0 
+      fnma.s1       FR_l_Z         = FR_l_AbsX,FR_l_Q0,f1 // r = a-b*q
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0
+      fmpy.s1       FR_l_G         = FR_l_G_1, FR_l_G_2 // G = G1 * G_2
+      nop.i         0
+}
+{ .mfi 
+      nop.m         0
+      fadd.s1       FR_l_H         = FR_l_H_1, FR_l_H_2 // H = H_1 + H_2
+      nop.i         0
+};;
+
+{ .mfi 
+      ldfe          FR_l_log2_hi   = [GR_l_Log_Table],16 //  load log2_hi part
+      fadd.s1       FR_l_h         = FR_l_h_1, FR_l_h_2  //  h = h_1 + h_2 
+      nop.i         0
+}
+{ .mfi
+      nop.m         0 
+      fcvt.xf       FR_l_float_N   = FR_l_float_N // int(N)
+      nop.i         0 
+};;
+
+{ .mfi 
+      ldfe          FR_l_log2_lo   = [GR_l_Log_Table],16 //  Load log2_lo part
+      fma.s1        FR_l_CXL       = FR_l_CXL, f1, FR_l_CL
+      nop.i 0 
+}
+{ .mfi
+      nop.m         0 
+(p15) fma.s1        FR_n_TT        = FR_n_A2H, FR_n_XS2L, FR_n_TT // T=A2H*x2L+T
+      nop.i         0 
+};;
+
+{ .mfi 
+      ldfe          FR_l_Q_6       = [GR_l_Log_Table],16 
+(p15) fma.s1        FR_n_A3        = FR_n_A4,  FR_n_XS2, FR_n_A3 // poly tail
+      nop.i         0 
+}
+{ .mfi
+      nop.m         0 
+(p15) fma.s1        FR_n_A5        = FR_n_A6,  FR_n_XS2, FR_n_A5 // poly tail
+      nop.i 0 
+};;
+
+{ .mfi 
+      ldfe          FR_l_Q_5       = [GR_l_Log_Table],16  
+(p15) fabs          FR_n_XS        = FR_n_XS // abs(xs)
+      nop.i         0 
+}
+{ .mfi
+      nop.m         0 
+      fma.s1        FR_l_Z         = FR_l_Z,FR_l_Y2,FR_l_Q0 // x_hi = q+r*y2
+      nop.i         0 
+};;
+
+{ .mfi 
+      ldfe          FR_l_Q_4       = [GR_l_Log_Table],16 
+(p15) fma.s1        FR_n_A7        = FR_n_A9,  FR_n_XS4, FR_n_A7 // poly tail
+      nop.i         0 
+}
+{ .mfi
+      nop.m         0 
+(p15) fma.s1        FR_n_XS7       = FR_n_XS4, FR_n_XS2, f0 // = x^4*x^2
+      nop.i         0 
+};;
+
+{ .mfi 
+      ldfe          FR_l_Q_3       = [GR_l_Log_Table],16  
+      fneg          FR_n_NegOne    = f1 // -1.0
+      nop.i         0 
+}
+{ .mfi
+      nop.m         0 
+(p15) fma.s1        FR_n_XS8       = FR_n_XS4, FR_n_XS4, f0 // xs^8 = xs^4*xs^4
+      nop.i         0 
+};;
+
+{ .mfi 
+      ldfe          FR_l_Q_2       = [GR_l_Log_Table],16 
+      fadd.s1       FR_l_h         = FR_l_h, FR_l_h_3 //  h = h_1 + h_2 + h_3   
+      nop.i         0 
+}
+{ .mfi
+      nop.m         0 
+(p15) fma.s1        FR_n_TH        = FR_n_A2H, FR_n_XS2, FR_n_TT // A2H*xs2+T
+      nop.i         0 
+};;
+
+{ .mfi 
+      ldfe          FR_l_Q_1       = [GR_l_Log_Table],16 
+      fmpy.s1       FR_l_G         = FR_l_G, FR_l_G_3 // G = G_1 * G_2 * G_3 
+      nop.i         0 
+}
+{ .mfi
+      nop.m         0
+      fadd.s1       FR_l_H         = FR_l_H, FR_l_H_3 // H = H_1 + H_2 + H_3 
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0
+      fma.s1        FR_l_Z2        = FR_l_Z, FR_l_Z, f0 // Z^2
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+(p15) fma.s1        FR_n_A3        = FR_n_A5,  FR_n_XS4, FR_n_A3 // poly tail
+      nop.i         0
+};;
+
+{ .mfi 
+      nop.m         0
+(p14) fcmp.gt.unc.s1 p7,p0         = FR_l_AbsX, FR_c_PosOverflow //X > 1755.5483
+              // (overflow domain, result cannot be represented by normal value)
+      nop.i         0
+}
+{ .mfi 
+      nop.m         0
+(p15) fma.s1        FR_n_XS7       = FR_n_XS7, FR_n_XS,  f0 // x^7 construction
+      nop.i         0
+};;
+
+{ .mfi 
+      nop.m         0
+(p15) fms.s1        FR_n_TL        = FR_n_A2H, FR_n_XS2, FR_n_TH // A2H*xs2+TH
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+(p15) fma.s1        FR_n_PolyH     = FR_n_TH, f1, FR_n_A1H // PolyH=TH+A1H
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0
+      fmpy.s1       FR_l_GS_hi     = FR_l_G, FR_l_S // GS_hi = G*S
+      nop.i         0
+}
+{ .mfb
+      nop.m         0
+      fms.s1        FR_l_r         = FR_l_G, FR_l_S, f1 // r = G*S -1
+(p7)  br.cond.spnt  tgammal_overflow // Overflow path for arg > 1755.5483 //////
+};;
+
+{ .mfi 
+      nop.m         0
+      fma.s1        FR_l_B14       = FR_l_B16, FR_l_Z2, FR_l_B14// bernulli tail
+      nop.i         0
+}
+{ .mfi 
+      nop.m         0
+      fma.s1        FR_l_Z4        = FR_l_Z2, FR_l_Z2, f0 // Z^4 = Z^2*Z^2
+      nop.i         0
+};;
+
+{ .mfi 
+      nop.m         0
+      fma.s1        FR_l_B2        = FR_l_B4, FR_l_Z2, FR_l_B2 // bernulli tail
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_l_B6        = FR_l_B8, FR_l_Z2, FR_l_B6 // bernulli tail
+      nop.i         0
+};;
+
+{ .mfi 
+      nop.m         0
+      fma.s1        FR_l_B10       = FR_l_B12, FR_l_Z2, FR_l_B10// bernulli tail
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+(p15) fma.s1        FR_n_Tail      = FR_n_A7,  FR_n_XS8, FR_n_A3 // poly tail
+      nop.i         0
+};;
+
+{ .mfi 
+      nop.m         0
+(p15) fma.s1        FR_n_TL        = FR_n_TL, f1, FR_n_TT // TL = TL+T
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+(p15) fms.s1        FR_n_PolyL     = FR_n_A1H, f1, FR_n_PolyH // polyH+A1H
+      nop.i         0
+};;
+
+{ .mfi 
+      nop.m         0
+      fma.s1        FR_l_poly_lo   = FR_l_r, FR_l_Q_6, FR_l_Q_5 // Q_5+r*Q_6
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fsub.s1       FR_l_r_cor     = FR_l_GS_hi, f1 //     r_cor = GS_hi -1
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0
+      fms.s1        FR_l_GS_lo     = FR_l_G, FR_l_S, FR_l_GS_hi // G*S-GS_hi
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_l_poly      = FR_l_r, FR_l_Q_2, FR_l_Q_1 //poly=r*Q2+Q1
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0
+      fmpy.s1       FR_l_rsq       = FR_l_r, FR_l_r // rsq = r * r
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_l_G         = FR_l_float_N, FR_l_log2_hi, FR_l_H // Tbl =
+                                                        // float_N*log2_hi + H
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m 0 
+      fma.s1        FR_l_Y_lo      = FR_l_float_N, FR_l_log2_lo, FR_l_h // Y_lo=
+                                                       // float_N*log2_lo + h
+      nop.i 0 
+}
+{ .mfi
+      nop.m 0 
+      fma.s1        FR_l_B14       = FR_l_B18, FR_l_Z4, FR_l_B14 //bernulli tail
+      nop.i 0 
+};;
+
+{ .mfi 
+      nop.m 0 
+      fma.s1        FR_l_B2        = FR_l_B6, FR_l_Z4, FR_l_B2 //bernulli tail
+      nop.i 0 
+}
+{ .mfi
+      nop.m 0 
+      fma.s1        FR_l_Z8        = FR_l_Z4, FR_l_Z4, f0 //bernulli tail
+      nop.i 0 
+};;
+
+{ .mfi 
+      nop.m         0
+      fma.s1        FR_l_poly_lo   = FR_l_r, FR_l_poly_lo, FR_l_Q_4 // poly_lo =
+                                                            // Q_4 + r * poly_lo
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fsub.s1       FR_l_r_cor     = FR_l_r_cor, FR_l_r // r_cor = r_cor - r
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0
+(p15) fma.s1        FR_n_PolyL     = FR_n_PolyL, f1, FR_n_TH // polyL+TH
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+(p15) fma.s1        FR_n_TT        = FR_n_TL, f1, FR_n_A1L // TL+A1L
+      nop.i         0
+};;
+
+{ .mfi 
+      nop.m         0
+      fadd.s1       FR_l_logl_YHi  = FR_l_G, FR_l_r // Y_hi = Tbl + r 
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0
+      fma.s1        FR_l_B10       = FR_l_B14, FR_l_Z4, FR_l_B10 //bernulli tail
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0
+      fma.s1        FR_l_poly_lo   = FR_l_r, FR_l_poly_lo, FR_l_Q_3 // poly_lo =
+                                                          // Q_3 + r * poly_lo
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fadd.s1       FR_l_r_cor     = FR_l_r_cor, FR_l_GS_lo // r_cor=r_cor+GS_lo
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0
+(p15) fma.s1        FR_n_PolyL     = FR_n_PolyL, f1, FR_n_TT // polyL+TT
+      nop.i         0
+};;
+
+{ .mfi 
+      nop.m         0
+      fsub.s1       FR_l_Y_lo_res  = FR_l_G, FR_l_logl_YHi // Y_lo = Tbl - Y_hi 
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_l_XYH       = FR_l_logl_YHi, FR_l_AbsX_m_Half, f0 // XYH=
+                                          // YHi*|x-0.5|
+      nop.i         0
+};;
+
+{ .mfi 
+      nop.m         0
+      fma.s1        FR_l_SS        = FR_l_B10, FR_l_Z8, FR_l_B2 // bernulli tail
+      nop.i         0
+};;
+
+{ .mfi 
+      nop.m         0
+      fadd.s1       FR_l_r_cor     = FR_l_r_cor, FR_l_Y_lo // r_cor = r_cor+Y_lo
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_l_poly      = FR_l_rsq, FR_l_poly_lo, FR_l_poly //poly=
+                                                            // r^2*polyLo+poly
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0
+(p15) fma.s1        FR_n_TT        = FR_n_PolyL, FR_n_XS2, f0 // T=polyL*xs^2
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0
+      fadd.s1       FR_l_Y_lo      = FR_l_Y_lo_res, FR_l_r // Y_lo =  Y_lo + r
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fms.s1        FR_l_XYL       = FR_l_logl_YHi, FR_l_AbsX_m_Half, FR_l_XYH
+                                                      // XYL = YHi*|x-0.5|-XYH
+      nop.i         0
+};;
+
+{ .mfi 
+      nop.m         0
+      fma.s1        FR_l_SSCXH     = FR_l_SS, FR_l_Z, FR_l_CXH // SS*Z+CXH
+      nop.i         0
+}
+{ .mfi
+      mov           GR_e_exp_2tom51= 0xffff-51 // 2^-51
+(p15) fma.s1        FR_l_SignedXYH = FR_l_XYH, FR_n_NegOne, f0 // XYH = -XYH
+                                                            // for negatives
+      nop.i         0
+};;
+
+{ .mlx 
+      nop.m         0
+      movl          GR_e_rshf_2to51  = 0x4718000000000000   // 1.10000 2^(63+51)
+}
+{ .mlx
+      nop.m         0
+      movl          GR_e_sig_inv_ln2 = 0xb8aa3b295c17f0bc //significand of 1/ln2
+};;
+
+{ .mfi
+      nop.m         0
+      fma.s1        FR_l_poly      = FR_l_rsq, FR_l_poly, FR_l_r_cor // poly = 
+                                                        // rsq * poly + r_cor
+      nop.i         0 
+};;
+
+{ .mfi 
+      addl          GR_e_ad_Arg    = @ltoff(Constants_Tgammal_exp_64_Arg#),gp
+(p15) fma.s1        FR_n_TT        = FR_n_PolyH, FR_n_XS2L, FR_n_TT  
+      mov           GR_e_exp_mask  = 0x1FFFF          // Form exponent mask
+}
+{ .mlx
+      nop.m         0
+      movl          GR_e_rshf      = 0x43e8000000000000  // 1.10000 2^63 rshift
+};;
+
+
+{ .mmi 
+      setf.sig      FR_e_INV_LN2_2TO63 = GR_e_sig_inv_ln2 // form 1/ln2 * 2^63
+      setf.d        FR_e_RSHF_2TO51    = GR_e_rshf_2to51 //  1.1000 * 2^(63+51)
+      nop.i         0
+};;
+
+{ .mfi 
+      nop.m         0
+      fms.s1        FR_l_SSCXL     = FR_l_CXH, f1, FR_l_SSCXH // CXH+SS*CXH
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_e_expl_Input_AbsX = FR_l_XYH, f1, FR_l_SSCXH // HI EXP 
+      nop.i         0
+};;
+
+.pred.rel "mutex",p14,p15
+{ .mfi 
+      nop.m         0
+(p14) fma.s1        FR_e_expl_Input_X = FR_l_XYH, f1, FR_l_SSCXH // HI EXP
+      mov           GR_e_exp_bias     = 0x0FFFF  // Set exponent bias
+}
+{ .mfi
+      ld8           GR_e_ad_Arg       = [GR_e_ad_Arg] // Point to Arg table
+(p15) fms.s1        FR_e_expl_Input_X = FR_l_SignedXYH, f1, FR_l_SSCXH // HI EXP
+      nop.i         0
+};;
+
+{ .mfi 
+      nop.m         0
+      fadd.s1       FR_l_logl_YLo  = FR_l_Y_lo, FR_l_poly // YLo = YLo+poly
+      nop.i         0
+};;
+
+{ .mfi 
+      setf.exp      FR_e_2TOM51    = GR_e_exp_2tom51 //2^-51 for scaling float_N
+(p15) fma.s1        FR_n_TH        = FR_n_PolyH, FR_n_XS2, FR_n_TT // TH=
+                                                           // polyH*xs^2+T
+      nop.i         0
+}
+{ .mib
+      setf.d        FR_e_RSHF     = GR_e_rshf // Right shift const 1.1000*2^63
+      nop.i 0
+      nop.b 0
+};;
+
+{ .mfi 
+      add           GR_e_ad_A      = 0x20, GR_e_ad_Arg // Point to A table
+      nop.f         0
+      add           GR_e_ad_T1     = 0x50, GR_e_ad_Arg // Point to T1 table
+}
+{ .mfi
+      add           GR_e_ad_T2     = 0x150, GR_e_ad_Arg // Point to T2 table
+      nop.f         0
+      nop.i         0
+};;
+
+{ .mfi 
+      nop.m         0
+      fma.s1        FR_l_SSCXL     =   FR_l_SS, FR_l_Z,  FR_l_SSCXL
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fms.s1        FR_e_expl_Input_Y = FR_l_XYH, f1, FR_e_expl_Input_AbsX
+      nop.i         0
+};;
+
+{ .mfi 
+      ldfe          FR_e_L_hi      = [GR_e_ad_Arg],16 // Get L_hi
+      nop.f         0
+      nop.i         0
+};;
+
+{ .mfi 
+      nop.m         0
+      fma.s1        FR_l_XYL       = FR_l_logl_YLo, FR_l_AbsX_m_Half, FR_l_XYL
+                                                     // XYL = YLo*|x-0.5|+XYL
+      nop.i         0
+};;
+
+{ .mfi 
+      ldfe          FR_e_L_lo      = [GR_e_ad_Arg],16     // Get L_lo
+(p15) fms.s1        FR_n_TL        = FR_n_PolyH, FR_n_XS2, FR_n_TH // TL = 
+                                                          // = polyH*xs^2-TH
+      add           GR_e_ad_W1     = 0x100, GR_e_ad_T2   // Point to W1 table
+}
+{ .mfi
+      nop.m         0
+(p15) fma.s1        FR_n_Poly1H    = FR_n_TH, f1, f1 // poly1H = TH+1
+      add           GR_e_ad_W2     = 0x300, GR_e_ad_T2 // Point to W2 table
+};;
+
+{ .mmi 
+      getf.exp      GR_e_signexp_x = FR_e_expl_Input_X // Extract sign and exp
+      ldfe          FR_e_A3        = [GR_e_ad_A],16     // Get A3 
+      nop.i         0
+};;
+
+{ .mfi 
+      nop.m         0
+      fma.s1        FR_l_SSCXL     = FR_l_SSCXL, f1, FR_l_CXL
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_e_expl_Input_Y = FR_e_expl_Input_Y, f1, FR_l_SSCXH
+      nop.i         0
+};;
+
+{ .mfi 
+      nop.m         0
+      fma.s1  FR_e_N_signif=FR_e_expl_Input_X,FR_e_INV_LN2_2TO63,FR_e_RSHF_2TO51
+      and           GR_e_exp_x     = GR_e_signexp_x, GR_e_exp_mask
+};;
+
+{ .mmi 
+      sub           GR_e_exp_x     = GR_e_exp_x, GR_e_exp_bias // Get exponent
+      ldfe          FR_e_A2        = [GR_e_ad_A],16     // Get A2 for main path
+      nop.i         0
+};;
+
+{ .mfi 
+      nop.m         0
+(p15) fma.s1        FR_n_PolyH     =    FR_n_Poly1H, FR_n_XS, f0//sin(Pi*x) poly
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+(p15) fms.s1        FR_n_Poly1L    =    f1, f1, FR_n_Poly1H//sin(Pi*x) poly
+      nop.i         0
+};;
+
+{ .mfi 
+      nop.m         0
+(p15) fma.s1        FR_n_TL        =    FR_n_TL, f1, FR_n_TT//sin(Pi*x) poly
+      nop.i         0
+};;
+
+{ .mfi 
+      nop.m         0
+      fma.s1        FR_l_Temp      =   FR_l_XYL, f1, FR_l_SSCXL // XYL+SS*CXL
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+(p15) fma.s1        FR_e_expl_Input_Y = FR_e_expl_Input_Y, FR_n_NegOne, f0
+                     // Negate lo part of exp argument for negative input values
+      nop.i         0
+};;
+
+{ .mfi 
+      ldfe          FR_e_A1        = [GR_e_ad_A],16   // Get A1
+      nop.f         0
+      nop.i         0
+}
+{ .mfi
+      nop.m 0
+      fms.s1        FR_e_float_N   = FR_e_N_signif, FR_e_2TOM51, FR_e_RSHF 
+                                           // Get float N = signd*2^51-RSHIFTER
+      nop.i 0
+};;
+
+{ .mfi 
+      nop.m         0
+(p15) fma.s1        FR_n_Poly1L    = FR_n_Poly1L, f1, FR_n_TH //sin(Pi*x) poly
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+(p15) fms.s1        FR_n_PolyL     = FR_n_Poly1H, FR_n_XS, FR_n_PolyH//sin(Pi*x)
+      nop.i         0
+};;
+
+{ .mfi 
+      getf.sig      GR_e_N_fix     = FR_e_N_signif // Get N from significand
+      nop.f         0
+      nop.i         0
+};;
+
+.pred.rel "mutex",p14,p15
+{ .mfi 
+      nop.m 0
+(p14) fma.s1        FR_e_expl_Input_Y = FR_e_expl_Input_Y, f1, FR_l_Temp   
+      nop.i         0
+}
+{ .mfi 
+      nop.m 0
+(p15) fms.s1        FR_e_expl_Input_Y = FR_e_expl_Input_Y, f1, FR_l_Temp   
+      // arguments for exp computation
+      nop.i         0
+};;
+
+{ .mfi 
+      nop.m         0
+      fnma.s1       FR_e_r         = FR_e_L_hi, FR_e_float_N, FR_e_expl_Input_X
+                                                   // r = -L_hi * float_N + x
+      extr.u        GR_e_M1        = GR_e_N_fix, 6, 6   // Extract index M_1
+};;
+
+{ .mfi 
+      nop.m         0
+(p15) fma.s1        FR_n_Poly1L    =   FR_n_Poly1L, f1, FR_n_TL //sin(Pi*x) poly
+      nop.i         0
+};;
+
+
+{ .mmf 
+      nop.m         0
+      nop.m         0
+      fma.s1        FR_e_r         = FR_e_r, f1, FR_e_expl_Input_Y 
+                                                 // r =  r + FR_e_expl_Input_Y
+};;
+
+{ .mmi 
+      shladd        GR_e_ad_W1     = GR_e_M1,3,GR_e_ad_W1 // Point to W1
+      shladd        GR_e_ad_T1     = GR_e_M1,2,GR_e_ad_T1 // Point to T1
+      extr.u        GR_e_M2        = GR_e_N_fix, 0, 6      // Extract index M_2
+};;
+
+
+{ .mfi 
+      ldfs          FR_e_T1        = [GR_e_ad_T1],0         // Get T1
+      nop.f         0
+      extr          GR_e_K         = GR_e_N_fix, 12, 32 //Extract limit range K
+}
+{ .mfi
+      shladd        GR_e_ad_T2     = GR_e_M2,2,GR_e_ad_T2 // Point to T2
+(p15) fma.s1        FR_n_PolyL     = FR_n_Poly1L, FR_n_XS, FR_n_PolyL
+                                                              //sin(Pi*x) poly
+      shladd        GR_e_ad_W2     = GR_e_M2,3,GR_e_ad_W2 // Point to W2
+};;
+
+{ .mfi 
+      ldfs          FR_e_T2        = [GR_e_ad_T2],0         // Get T2
+      nop.f         0
+      add           GR_e_exp_2_k   = GR_e_exp_bias, GR_e_K // exp of 2^k
+}
+{ .mfi
+      ldfd          FR_e_W1        = [GR_e_ad_W1],0         // Get W1
+      nop.f         0
+      sub           GR_e_exp_2_mk  = GR_e_exp_bias, GR_e_K // exp of 2^-k
+};;
+
+{ .mmi 
+      ldfd          FR_e_W2        = [GR_e_ad_W2],0         // Get W2
+      nop.m 0
+      nop.i 0
+};;
+
+{ .mmf 
+      setf.exp      FR_e_scale     = GR_e_exp_2_k     // Set scale = 2^k
+      setf.exp      FR_e_2_mk      = GR_e_exp_2_mk     // Form 2^-k
+      fnma.s1       FR_e_r         = FR_e_L_lo, FR_e_float_N, FR_e_r 
+                                               // r = -L_lo * float_N + r
+};;
+
+{ .mfi 
+      nop.m         0
+(p15) fma.s1        FR_n_PolyL     = FR_n_Tail, FR_n_XS7, FR_n_PolyL 
+                                                               //sin(Pi*x) poly
+      nop.i         0
+};;
+
+{ .mfi 
+      nop.m 0
+      fma.s1        FR_e_poly      = FR_e_r, FR_e_A3, FR_e_A2 // poly=r*A3+A2
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+      fmpy.s1       FR_e_rsq       = FR_e_r, FR_e_r // rsq = r * r
+      nop.i 0
+};;
+
+{ .mfi 
+      nop.m 0
+      fmpy.s1       FR_e_T         = FR_e_T1, FR_e_T2         // T = T1 * T2
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+      fadd.s1       FR_e_W1_p1     = FR_e_W1, f1        // W1_p1 = W1 + 1.0
+      nop.i 0
+};;
+
+{ .mfi 
+      nop.m 0
+(p15) fma.s1        FR_n_TT        = FR_n_PolyL, FR_l_AbsX, f0 //sin(Pi*x) poly
+      nop.i 0
+};;
+
+{ .mfi 
+      nop.m         0
+      fma.s1        FR_e_poly      = FR_e_r, FR_e_poly, FR_e_A1 
+                                                 // poly = r * poly + A1
+      nop.i 0
+};;
+
+{ .mfi 
+      nop.m         0
+      fma.s1        FR_e_T_scale   = FR_e_T, FR_e_scale, f0 // T_scale=T*scale
+      nop.i         0
+}
+{ .mfi
+      nop.m         0
+      fma.s1        FR_e_W         = FR_e_W2, FR_e_W1_p1, FR_e_W1 
+                                                     // W = W2 * (W1+1.0) + W1
+      nop.i         0
+};;
+
+{ .mfi 
+      nop.m         0
+(p15) fma.s1        FR_n_SinxH     =    FR_n_PolyH, FR_l_AbsX, FR_n_TT 
+                                                              // sin(Pi*x) poly
+      nop.i         0
+};;
+
+{ .mfi 
+      nop.m         0
+      mov           FR_e_Y_hi      = FR_e_T  // Assume Y_hi = T
+      nop.i         0
+};;
+
+{ .mfi 
+      nop.m 0
+      fma.s1        FR_e_poly      = FR_e_rsq, FR_e_poly, FR_e_r 
+                                                     // poly = rsq * poly + r
+      nop.i 0
+};;
+
+{ .mfi 
+      nop.m 0
+      fma.s1        FR_e_Wp1_T_scale = FR_e_W, FR_e_T_scale, FR_e_T_scale 
+                                                              // (W+1)*T*scale
+      nop.i 0
+}
+{ .mfi
+      nop.m 0
+      fma.s1        FR_e_W_T_scale = FR_e_W, FR_e_T_scale, f0 // W*T*scale
+      nop.i 0
+};;
+
+{ .mfi 
+      nop.m 0
+(p15) fms.s1        FR_n_SinxL     =   FR_n_PolyH, FR_l_AbsX, FR_n_SinxH
+                                                             // Low part of sin
+      nop.i 0
+};;
+
+{ .mfi 
+      nop.m         0
+(p15) frcpa.s1      FR_n_Y0, p0    = f1, FR_n_SinxH //  y = frcpa(b)
+      nop.i         0
+};;
+
+{ .mfi 
+      nop.m         0
+      fma.s1        FR_e_result_lo = FR_e_Wp1_T_scale, FR_e_poly, FR_e_W_T_scale
+                                                       // Low part of exp result
+      nop.i         0
+};;
+
+{ .mfi 
+      nop.m         0
+(p15) fma.s1        FR_n_SinxL     = FR_n_SinxL, f1, FR_n_TT // sin low result
+      nop.i         0
+};;
+
+{ .mfi 
+      nop.m         0
+(p15) fma.s1        FR_n_Q0        = f1,FR_n_Y0,f0 // q = y
+      nop.i         0
+}
+{ .mfi 
+      nop.m         0
+(p15) fnma.s1       FR_n_E0        = FR_n_Y0, FR_n_SinxH, f1 // e = 1-b*y 
+      nop.i         0
+};;
+
+
+{ .mfb 
+      nop.m         0
+(p14) fma.s0        f8             = FR_e_Y_hi, FR_e_scale, FR_e_result_lo
+(p14) br.ret.spnt   b0 // Exit for positive Stirling path //////////////////////
+};;
+
+{ .mfi 
+      nop.m 0
+      fma.s1        FR_e_expl_Output_X = FR_e_Y_hi, FR_e_scale, f0 // exp result
+      nop.i         0
+}
+{ .mfi
+      nop.m 0
+      fma.s1        FR_e_expl_Output_Y = FR_e_result_lo, f1, f0// exp lo result
+      nop.i         0
+};;
+
+{ .mfi 
+      nop.m         0
+      fma.s1        FR_n_E2        = FR_n_E0,FR_n_E0,FR_n_E0 //  e2 = e+e^2
+      nop.i         0
+}
+{ .mfi 
+      nop.m         0
+      fma.s1        FR_n_E1        = FR_n_E0,FR_n_E0,f0 //  e1 = e^2
+      nop.i         0
+};;
+
+{ .mfi 
+      nop.m         0
+      fma.s1        FR_n_Y1        = FR_n_Y0,FR_n_E2,FR_n_Y0 //  y1 = y+y*e2
+      nop.i         0
+}
+{ .mfi 
+      nop.m         0
+      fma.s1        FR_n_E3        = FR_n_E1,FR_n_E1,FR_n_E0 //  e3 = e+e1^2
+      nop.i         0
+};;
+
+{ .mfi 
+      nop.m         0
+      fma.s1        FR_n_Y2        = FR_n_Y1,FR_n_E3,FR_n_Y0 //  y2 = y+y1*e3
+      nop.i         0
+}
+{ .mfi 
+      nop.m         0
+      fnma.s1       FR_n_R0        = FR_n_SinxH,FR_n_Q0,f1 //  r = a-b*q
+      nop.i         0
+};;
+
+{ .mfi 
+      nop.m         0
+      fnma.s1       FR_n_E4        = FR_n_SinxH,FR_n_Y2,f1 //  e4 = 1-b*y2
+      nop.i         0
+}
+{ .mfi 
+      nop.m         0
+      fma.s1        FR_n_RcpResH   = FR_n_R0,FR_n_Y2,FR_n_Q0 //  x = q+r*y2
+      nop.i         0
+};;
+
+{ .mfi 
+      nop.m         0
+      fma.s1        FR_n_Y3        = FR_n_Y2,FR_n_E4,FR_n_Y2 //  y3 = y2+y2*e4
+      nop.i         0
+}
+{ .mfi 
+      nop.m         0
+      fnma.s1       FR_n_R1        = FR_n_SinxH,FR_n_RcpResH,f1 //  r1 = a-b*x
+      nop.i         0
+};;
+
+{ .mfi 
+      nop.m         0
+      fnma.s1       FR_n_R1        = FR_n_SinxL,FR_n_RcpResH,FR_n_R1  
+                                                          // r1 = r1 - b_lo*X
+      nop.i         0
+};;
+
+{ .mfi 
+      nop.m         0
+      fma.s1        FR_n_RcpResL   = FR_n_R1,FR_n_Y3,f0 //  x_lo = r1*y3
+      nop.i         0
+}
+{ .mfi 
+      nop.m         0
+      fma.s1        FR_n_Temp      = FR_n_RcpResH, FR_e_expl_Output_Y, f0
+                                              // Multiplying exp and sin result
+      nop.i         0
+};;
+
+{ .mfi 
+      nop.m         0
+      fma.s1        FR_n_Temp      = FR_n_RcpResL, FR_e_expl_Output_X, FR_n_Temp
+                                              // Multiplying exp and sin result
+      nop.i         0
+};;
+
+{ .mfi 
+      nop.m         0
+      fma.s1        FR_n_ResH      = FR_n_RcpResH, FR_e_expl_Output_X, FR_n_Temp
+                                              // Multiplying exp and sin result
+      nop.i         0
+};;
+
+{ .mfi 
+      nop.m         0
+      fms.s1        FR_n_ResL      = FR_n_RcpResH, FR_e_expl_Output_X, FR_n_ResH
+                                              // Multiplying exp and sin result
+      nop.i         0
+}
+{ .mfi 
+      nop.m         0
+(p12) fma.s1        FR_n_ResH      = FR_n_ResH, FR_n_NegOne, f0 // Negate
+      nop.i         0
+};;
+
+{ .mfi 
+      nop.m         0
+      fma.s1        FR_n_ResL  = FR_n_ResL, f1, FR_n_Temp
+                      // Multiplying exp and sin result - low result obtained
+      nop.i         0
+};;
+
+.pred.rel "mutex",p12,p13
+{ .mfi 
+      nop.m         0
+(p13) fma.s0        f8             = FR_n_ResH, f1, FR_n_ResL // For odd
+      nop.i         0
+}
+{ .mfb 
+      nop.m         0
+(p12) fms.s0        f8             = FR_n_ResH, f1, FR_n_ResL // For even
+      br.ret.sptk   b0 // Exit for negative Stirling path //////////////////////
+};;
+
+
+//////////// 1 <= |X| < 13 path ////////////////////////////////////////////////
+//------------------------------------------------------------------------------
+.align 64
+tgamma_lt_13:
+{ .mfi 
+      getf.sig      GR_p_XN        = FR_p_IXN // Get significand
+      fcvt.xf       FR_p_XN        = FR_p_IXN  // xn = [x]
+      add           GR_r_sin_Table2= 0x40, GR_r_sin_Table // Shifted table addr.
+} 
+{ .mfi
+      ldfpd         FR_p_0p5, FR_p_1p5 = [GR_c_Table], 16  // 0.5 & 1.5
+      fms.s1        FR_p_AbsXM1    = FR_p_AbsX, f1, f1 // X-1
+      add           GR_p_Table2    = 0xB0, GR_p_Table
+};; 
+
+{ .mfi 
+      add           GR_r_sin_Table = -16, GR_r_sin_Table // For compensation
+      fcvt.xf       FR_r_XNS       = FR_r_IXNS // Convert int repr to float
+      shr.u         GR_p_X_Sgnd    = GR_p_X_Sgnd, 59 // Get only 5 bit of signd
+};; 
+
+{ .mfi 
+      ldfpd         FR_r_A2H,FR_r_A2L = [GR_r_sin_Table], 16 // Load A2
+      nop.f         0
+      add           GR_p_Int       = -2, GR_p_XN // int = int - 2 
+} 
+{ .mfi
+      ldfe          FR_r_A6 = [GR_r_sin_Table2], 16 
+      nop.f         0
+      cmp.gtu       p11, p12 = 0x2, GR_p_XN // p11: x < 2 (splitted intervals),
+                                            // p12: x > 2 (base intervals)
+};; 
+
+{ .mfi 
+      ldfpd         FR_r_A1H, FR_r_A1L = [GR_r_sin_Table], 16 
+      nop.f         0
+      shr           GR_p_Int       = GR_p_Int, 1 // int/2
+} 
+{ .mfi
+      ldfe          FR_r_A5        = [GR_r_sin_Table2], 16 
+      nop.f         0
+(p11) cmp.gtu.unc   p10, p11       = 0x1C, GR_p_X_Sgnd // sgnd(x) < 0.75
+};; 
+
+{ .mfi 
+      ldfe          FR_r_A9        = [GR_r_sin_Table], 16 
+      nop.f         0
+      shl           GR_p_Offset    = GR_p_Int, 4 // offset = int*16
+} 
+{ .mfi
+      ldfe          FR_r_A4        = [GR_r_sin_Table2], 16 
+      nop.f         0
+(p10) cmp.gtu.unc   p9, p10        = 0x14, GR_p_X_Sgnd // sgnd(x) < 0.25
+};; 
+
+
+{ .mfi 
+      ldfe          FR_r_A8        = [GR_r_sin_Table], 16 
+      nop.f         0
+(p12) tbit.nz.unc   p13, p12       = GR_p_XN, 0x0 // p13: reccurent computations
+                                      // X is at [3;4], [5;6], [7;8]... interval
+} 
+{ .mfi
+      ldfe          FR_r_A3        = [GR_r_sin_Table2], 16 
+      nop.f         0
+      shladd        GR_p_Offset    = GR_p_Int, 2, GR_p_Offset // +int*4
+};; 
+
+.pred.rel "mutex",p9,p11
+{ .mfi 
+      add           GR_p_Offset    = GR_p_Int, GR_p_Offset 
+                                                    // +int, so offset = int*21
+(p9)  fms.s1        FR_p_XR        = FR_p_AbsX, f1, f1 // r = x-1
+      nop.i         0 
+} 
+{ .mfi
+      ldfe          FR_r_A7        = [GR_r_sin_Table], 16 
+(p11) fms.s1        FR_p_XR        = FR_p_2, f1, FR_p_AbsX 
+                                                    // r = 2-x for 1.75 < x < 2
+      nop.i         0 
+};; 
+
+.pred.rel "mutex",p9,p10
+.pred.rel "mutex",p10,p11
+.pred.rel "mutex",p9,p11
+{ .mfi 
+(p9)  add           GR_p_Offset    = 126, r0 // 1.0 < x < 1.25 table
+(p15) fcmp.eq.unc.s1 p7,p0         = FR_p_AbsX, FR_p_XN 
+                          // If arg is integer and negative - singularity branch
+      nop.i         0 
+}
+{ .mfi 
+(p10) add           GR_p_Offset    = 147, r0 // 1.25 < x < 1.75 table
+      nop.f         0
+(p11) add           GR_p_Offset    = 168, r0 // 1.75 < x < 2.0 table
+};; 
+
+{ .mmf 
+      shladd        GR_p_Table     = GR_p_Offset, 4, GR_p_Table 
+      shladd        GR_p_Table2    = GR_p_Offset, 4, GR_p_Table2
+      fma.s1        FR_r_XS        = FR_r_AbsX , f1, FR_r_XNS // xs = x - [x]
+};; 
+
+{ .mmb 
+      ldfpd         FR_p_A5H, FR_p_A5L = [GR_p_Table], 16 
+      ldfpd         FR_p_A2H, FR_p_A2L = [GR_p_Table2], 16 
+(p7)  br.cond.spnt  tgammal_singularity // Singularity for integer /////////////
+                                        // and negative argument ///////////////
+};;
+
+{ .mfi 
+      ldfpd         FR_p_A4H, FR_p_A4L = [GR_p_Table], 16 
+      fma.s1        FR_p_XN        = FR_p_XN, f1, FR_p_0p5 // xn = xn+0.5
+      nop.i         0 
+}
+{ .mfi 
+      ldfpd         FR_p_A1H, FR_p_A1L = [GR_p_Table2], 16 
+(p10) fms.s1        FR_p_XR        = FR_p_AbsX, f1, FR_p_1p5 // r = x - 1.5
+      nop.i         0 
+};;
+
+{ .mmi 
+      ldfpd         FR_p_A3H, FR_p_A3L = [GR_p_Table], 16 
+      ldfpd         FR_p_A0H, FR_p_A0L = [GR_p_Table2], 16 
+      nop.i         0
+};;
+
+{ .mmi 
+      ldfe         FR_p_A20        = [GR_p_Table], 16 
+      ldfe         FR_p_A12        = [GR_p_Table2], 16 
+      nop.i         0
+};;
+
+{ .mmf 
+      ldfe         FR_p_A19        = [GR_p_Table], 16 
+      ldfe         FR_p_A11        = [GR_p_Table2], 16 
+      fma.s1       FR_r_XS2        = FR_r_XS, FR_r_XS, f0 // xs2 = xs*xs
+};;
+
+{ .mmi 
+      ldfe          FR_p_A18       = [GR_p_Table], 16 
+      ldfe          FR_p_A10       = [GR_p_Table2], 16 
+      nop.i         0
+};;
+
+.pred.rel "mutex",p12,p13
+{ .mfi 
+      ldfe          FR_p_A17       = [GR_p_Table], 16 
+(p12) fms.s1        FR_p_XR        = FR_p_AbsX, f1, FR_p_XN // r = x - xn
+      nop.i         0 
+}
+{ .mfi 
+      ldfe          FR_p_A9        = [GR_p_Table2], 16
+(p13) fms.s1        FR_p_XR        = FR_p_AbsX, f1, FR_p_XN
+      nop.i         0 
+};;
+
+{ .mmi 
+      ldfe          FR_p_A16       = [GR_p_Table], 16 
+      ldfe          FR_p_A8        = [GR_p_Table2], 16 
+(p9)  cmp.eq        p12, p0        = r0, r0 // clear p12
+};;
+
+{ .mmi 
+      ldfe          FR_p_A15       = [GR_p_Table], 16 
+      ldfe          FR_p_A7        = [GR_p_Table2], 16 
+(p10) cmp.eq        p12, p0        = r0, r0 // clear p12
+};;
+
+{ .mfi 
+      ldfe          FR_p_A14       = [GR_p_Table], 16 
+      fma.s1        FR_r_TH        = FR_r_A2H, FR_r_XS2, f0 // sin for neg
+(p11) cmp.eq        p12, p0        = r0, r0 // clear p12
+}
+{ .mfi 
+      ldfe          FR_p_A6        = [GR_p_Table2], 16
+      fma.s1        FR_r_TL        = FR_r_A2L, FR_r_XS2, f0 // sin for neg
+      nop.i         0 
+};;
+
+{ .mfi 
+      ldfe          FR_p_A13       = [GR_p_Table], 16
+      fms.s1        FR_r_XS2L      = FR_r_XS, FR_r_XS, FR_r_XS2 // x2Lo part
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_Temp5H    = FR_p_A5H, FR_p_XR, f0 // A5H*r
+                                                           // 'Low poly'
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_XR2       = FR_p_XR, FR_p_XR, f0 // r^2 = r*r
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fabs          FR_r_XS        = FR_r_XS // abs(xs)
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_Temp2H    = FR_p_A2H, FR_p_XR, f0 // A2H*r
+                                                           // 'High poly'
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fms.s1        FR_r_TT        = FR_r_A2H, FR_r_XS2, FR_r_TH // sin for neg
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_r_ResH      = FR_r_TH, f1, FR_r_A1H // sin for neg
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_r_TL        = FR_r_A2H, FR_r_XS2L, FR_r_TL // sin for neg
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fms.s1        FR_p_Temp5L    = FR_p_A5H,FR_p_XR,FR_p_Temp5H //A5H*r delta
+                                                                  // 'Low poly'
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_Poly5H    = FR_p_Temp5H, f1, FR_p_A4H // A5H*r+A4H
+                                                               // 'Low poly'
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fms.s1        FR_p_Temp2L    = FR_p_A2H, FR_p_XR, FR_p_Temp2H//A2H*r delta
+                                                                   //'High poly'
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_Poly2H    = FR_p_Temp2H, f1, FR_p_A1H // A2H*r+A1H
+                                                               //'High poly'
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_XR3       = FR_p_XR2, FR_p_XR,  f0 // r^3 = r^2*r
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fms.s1        FR_p_XR2L      = FR_p_XR, FR_p_XR, FR_p_XR2 // r^2 delta
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_A18       = FR_p_A19, FR_p_XR, FR_p_A18 // Poly tail
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_A14       = FR_p_A15, FR_p_XR, FR_p_A14 // Poly tail
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_XR4       = FR_p_XR2, FR_p_XR2, f0 // r^4 = r^2*r^2
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_Temp5L    = FR_p_A5L, FR_p_XR, FR_p_Temp5L// Low part
+                                                                   // of A5*r+A4
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fms.s1        FR_p_Poly5L    = FR_p_A4H, f1, FR_p_Poly5H // Low part
+                                                               // of A5*r+A4
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_Temp4H    = FR_p_Poly5H, FR_p_XR, f0 // (A5H*r+A4H)*r
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_Temp2L    = FR_p_A2L, FR_p_XR, FR_p_Temp2L // A2*r low
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fms.s1        FR_p_Poly2L    = FR_p_A1H, f1, FR_p_Poly2H // High poly
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_Temp1H    = FR_p_Poly2H, FR_p_XR, f0 // High poly
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fms.s1        FR_p_XR3L      = FR_p_XR2, FR_p_XR, FR_p_XR3 // x^3 delta
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_A16       = FR_p_A17, FR_p_XR, FR_p_A16 // Poly tail
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fms.s1        FR_r_ResL      = FR_r_A1H, f1, FR_r_ResH // sin for neg
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_r_TL        = FR_r_TL, f1, FR_r_TT // sin for neg
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_Temp5L    = FR_p_Temp5L, f1, FR_p_A4L // Low poly
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_Poly5L    = FR_p_Poly5L, f1, FR_p_Temp5H // Low poly
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fms.s1        FR_p_Temp4L    = FR_p_Poly5H,FR_p_XR,FR_p_Temp4H //Low poly
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_Poly4H    = FR_p_Temp4H, f1, FR_p_A3H // Low poly
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_Temp2L    = FR_p_Temp2L, f1, FR_p_A1L // High poly
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_Poly2L    = FR_p_Poly2L, f1, FR_p_Temp2H // High poly
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fms.s1        FR_p_Temp1L    = FR_p_Poly2H,FR_p_XR,FR_p_Temp1H //High poly
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_Poly1H    = FR_p_Temp1H, f1, FR_p_A0H // High poly
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_A12       = FR_p_A13, FR_p_XR, FR_p_A12 // Poly tail
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_XR3L      = FR_p_XR2L, FR_p_XR, FR_p_XR3L // x^3 low
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_Poly5L    = FR_p_Poly5L, f1, FR_p_Temp5L // Low poly
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_A10       = FR_p_A11, FR_p_XR, FR_p_A10 // Poly tail
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fms.s1        FR_p_Poly4L    = FR_p_A3H, f1, FR_p_Poly4H // Low poly
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_A6        = FR_p_A7, FR_p_XR, FR_p_A6 // Poly tail
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_A8        = FR_p_A9, FR_p_XR, FR_p_A8 // Poly tail
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_XR6       = FR_p_XR4, FR_p_XR2, f0 // Poly tail
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_Poly2L    = FR_p_Poly2L, f1, FR_p_Temp2L // High poly
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fms.s1        FR_p_Poly1L    = FR_p_A0H, f1, FR_p_Poly1H // High poly
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_r_ResL      = FR_r_ResL, f1, FR_r_TH // sin for neg
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_r_TT        = FR_r_TL, f1, FR_r_A1L // sin for neg
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_Temp4L    = FR_p_Poly5L,FR_p_XR,FR_p_Temp4L // Low poly
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_A18       = FR_p_A20, FR_p_XR2, FR_p_A18 // Poly tail
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_Poly4L    = FR_p_Poly4L, f1, FR_p_Temp4H // Low poly
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_A14       = FR_p_A16, FR_p_XR2, FR_p_A14 // Poly tail
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_A6        = FR_p_A8, FR_p_XR2, FR_p_A6 // Poly tail
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_A10       = FR_p_A12, FR_p_XR2, FR_p_A10 // Poly tail
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_Temp1L    = FR_p_Poly2L,FR_p_XR,FR_p_Temp1L //High poly
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_Poly1L    = FR_p_Poly1L, f1, FR_p_Temp1H // High poly
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_r_ResL      = FR_r_ResL, f1, FR_r_TT // sin for neg
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_r_TH        = FR_r_ResH, FR_r_XS2, f0 // sin for neg
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_Temp4L    = FR_p_Temp4L, f1, FR_p_A3L // Low poly
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_Poly3H    = FR_p_Poly4H, FR_p_XR3, f0 // Low poly
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_A14       = FR_p_A18, FR_p_XR4, FR_p_A14 // Poly tail
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_XR8       = FR_p_XR4, FR_p_XR4, f0 // Poly tail
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_r_TL        = FR_r_ResH, FR_r_XS2L, f0 // sin for neg
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_Temp1L    = FR_p_Temp1L, f1, FR_p_A0L // High poly
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_A6        = FR_p_A10, FR_p_XR4, FR_p_A6 // Poly tail
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fms.s1        FR_r_TT        = FR_r_ResH, FR_r_XS2, FR_r_TH // sin for neg
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_r_Res3H     = FR_r_TH, f1, f1 // sin for neg
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_Poly4L    = FR_p_Poly4L, f1, FR_p_Temp4L // Low poly
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_Poly3L    = FR_p_Poly4H, FR_p_XR3L, f0 // Low poly
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_Poly0H    = FR_p_Poly3H,f1,FR_p_Poly1H //Low & High add
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_r_A7        = FR_r_A8,  FR_r_XS2, FR_r_A7 // sin for neg
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_r_TL        = FR_r_ResL, FR_r_XS2, FR_r_TL // sin for neg
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_r_XS4       = FR_r_XS2, FR_r_XS2, f0 // sin for neg
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_Poly1L    = FR_p_Poly1L, f1, FR_p_Temp1L // High poly
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_PolyTail  = FR_p_A14, FR_p_XR8, FR_p_A6 // Poly tail
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fms.s1        FR_r_Res3L     = f1, f1, FR_r_Res3H // sin for neg
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_r_ResH      = FR_r_Res3H, FR_r_XS, f0 // sin for neg
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fms.s1        FR_p_Temp0L    = FR_p_Poly4H,FR_p_XR3,FR_p_Poly3H //Low poly
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_Poly3L    = FR_p_Poly4L,FR_p_XR3,FR_p_Poly3L //Low poly
+      nop.i         0 
+};;
+
+{ .mfi
+      nop.m         0 
+      fms.s1        FR_p_Poly0L    = FR_p_Poly1H,f1,FR_p_Poly0H //Low & High add
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+(p13) fma.s1        FR_p_OddPoly0H = FR_p_Poly0H, FR_p_AbsXM1, f0 
+                                 // Reccurent computations - multiplying by X-1
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_r_TL        = FR_r_TL, f1, FR_r_TT // sin for neg
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_r_A3        = FR_r_A4,  FR_r_XS2, FR_r_A3 // sin for neg
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_Poly1L    = FR_p_PolyTail,FR_p_XR6,FR_p_Poly1L//High
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_r_A5        = FR_r_A6, FR_r_XS2, FR_r_A5 // sin for neg
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_r_Res3L     = FR_r_Res3L, f1, FR_r_TH // sin for neg
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fms.s1        FR_r_ResL      = FR_r_Res3H, FR_r_XS, FR_r_ResH//sin for neg
+      nop.i         0 
+};;
+
+{ .mfi
+      nop.m         0 
+      fma.s1        FR_p_Poly3L    = FR_p_Poly3L, f1, FR_p_Temp0L // Low poly
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_r_A7        = FR_r_A9, FR_r_XS4, FR_r_A7 // sin for neg
+      nop.i         0 
+};;
+
+{ .mfi
+      nop.m         0 
+      fma.s1        FR_p_Poly0L    = FR_p_Poly0L,f1,FR_p_Poly3H //Low & High add
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+(p13) fms.s1        FR_p_OddPoly0L = FR_p_Poly0H, FR_p_AbsXM1, FR_p_OddPoly0H
+                       // Reccurent computations - multiplying by X-1 (low part)
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_r_A3        = FR_r_A5,  FR_r_XS4, FR_r_A3 // sin for neg
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_r_XS7       = FR_r_XS4, FR_r_XS2, f0 // xs^6
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_r_Res3L     = FR_r_Res3L, f1, FR_r_TL // sin for neg
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_r_XS8       = FR_r_XS4, FR_r_XS4, f0 // sin for neg
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_Temp0H    = FR_p_Poly3L,f1,FR_p_Poly1L //Low & High add
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_r_XS7       = FR_r_XS7, FR_r_XS,  f0 // xs^7
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_r_ResL      = FR_r_Res3L, FR_r_XS, FR_r_ResL//sin for neg
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_r_Tail      = FR_r_A7, FR_r_XS8, FR_r_A3 // sin tail res
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_Poly0L    = FR_p_Poly0L,f1,FR_p_Temp0H //Low & High add
+      nop.i         0 
+};;
+
+
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_r_ResL      = FR_r_Tail,FR_r_XS7,FR_r_ResL //sin for neg
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+(p13) fma.s1        FR_p_OddPoly0L  = FR_p_Poly0L, FR_p_AbsXM1, FR_p_OddPoly0L
+                       // Reccurent computations - multiplying by X-1 (low part)
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_r_TT        = FR_r_ResL, FR_r_AbsX, f0 // X*sin
+      nop.i         0 
+};;
+
+.pred.rel "mutex",p12,p13
+{ .mfi 
+      nop.m         0 
+(p12) fma.s0        f8             =   FR_p_Poly0H, f1, FR_p_Poly0L // Even
+      nop.i         0 
+}
+{ .mfb 
+      nop.m         0 
+(p13) fma.s0        f8             =   FR_p_OddPoly0H, f1, FR_p_OddPoly0L // Odd
+(p14) br.ret.spnt   b0  // Exit for 1 <= |X| < 13 path (positive arguments)/////
+};;
+
+{ .mfi 
+      nop.m         0 
+(p13) fma.s1        FR_p_Poly0H    = FR_p_OddPoly0H, f1, f0 
+                                                       // Reccurent computations
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+(p13) fma.s1        FR_p_Poly0L    = FR_p_OddPoly0L, f1, f0 
+                                                       // Reccurent computations
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_r_Res1H     = FR_r_ResH, FR_r_AbsX, FR_r_TT // X*sin
+(p11) cmp.eq        p13, p12       = r0, r0
+};;
+
+{ .mfi 
+      nop.m         0 
+      fms.s1        FR_r_Res1L     = FR_r_ResH,FR_r_AbsX,FR_r_Res1H// X*sin
+(p9)  cmp.eq        p13, p12       = r0, r0
+};;
+
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_r_Res1L     = FR_r_Res1L, f1, FR_r_TT // sin for neg
+(p10) cmp.eq        p13, p12       = r0, r0
+}
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_r_TL        = FR_p_Poly0L, FR_r_Res1H, f0 // mult by sin
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_r_TL        = FR_p_Poly0H,FR_r_Res1L,FR_r_TL//mult by sin
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_r_ResH      = FR_p_Poly0H,FR_r_Res1H,FR_r_TL//mult by sin
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fms.s1        FR_r_ResL      = FR_p_Poly0H,FR_r_Res1H,FR_r_ResH//sin mult
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      frcpa.s1      FR_r_Y0,p0     = f1,FR_r_ResH //  y = frcpa(b)
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fneg          FR_r_NegOne    = f1 // Form -1.0
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_r_ResL      = FR_r_ResL, f1, FR_r_TL //Low result of mult
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_r_Q0        = f1,FR_r_Y0,f0 //  q = a*y
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fnma.s1       FR_r_E0        = FR_r_Y0,FR_r_ResH,f1 //  e = 1-b*y 
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_r_E2        = FR_r_E0,FR_r_E0,FR_r_E0 //  e2 = e+e^2
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_r_E1        = FR_r_E0,FR_r_E0,f0 //  e1 = e^2
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_r_Y1        = FR_r_Y0,FR_r_E2,FR_r_Y0 //  y1 = y+y*e2
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_r_E3        = FR_r_E1,FR_r_E1,FR_r_E0 //  e3 = e+e1^2
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_r_Y2        = FR_r_Y1,FR_r_E3,FR_r_Y0 //  y2 = y+y1*e3
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fnma.s1       FR_r_R0        = FR_r_ResH,FR_r_Q0,f1 //  r = a-b*q
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fnma.s1       FR_r_E4        = FR_r_ResH,FR_r_Y2,f1 //  e4 = 1-b*y2
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_r_ZH        = FR_r_R0,FR_r_Y2,FR_r_Q0 //  x = q+r*y2
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_r_Y3        = FR_r_Y2,FR_r_E4,FR_r_Y2 //  y3 = y2+y2*e4
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fnma.s1       FR_r_R1        = FR_r_ResH,FR_r_ZH,f1 //  r1 = a-b*x
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fnma.s1       FR_r_R1        = FR_r_ResL,FR_r_ZH,FR_r_R1 // r1=r1-b_lo*X
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+(p12) fma.s1        FR_r_ZHN       = FR_r_ZH,FR_r_NegOne, f0 // Negate for evens
+      nop.i         0 
+};;
+
+.pred.rel "mutex",p13,p12
+{ .mfi 
+      nop.m         0 
+(p13) fma.s0        f8             = FR_r_R1,FR_r_Y3,FR_r_ZH // Final result
+      nop.i         0 
+}
+{ .mfb 
+      nop.m         0 
+(p12) fnma.s0       f8             = FR_r_R1,FR_r_Y3,FR_r_ZHN // Final result
+      br.ret.sptk   b0 // Exit for 1 <= |X| < 13 path (negative arguments)//////
+};;
+
+
+////////////  |X| < 1 path /////////////////////////////////////////////////////
+//------------------------------------------------------------------------------
+.align 64
+tgamma_lt_1:
+{ .mfi 
+      getf.exp      GR_p_Exp       = FR_p_AbsX // exp of abs X
+      fma.s1        FR_z_Q0        = f1,FR_z_Y0,f0 // q = a*y
+      add           GR_r_sin_Table2= 0x50, GR_r_sin_Table
+} 
+{ .mfi
+      ldfpd         FR_p_0p5, FR_p_1p5 = [GR_c_Table], 16 
+      fnma.s1       FR_z_E0        = FR_z_Y0,f8,f1 //  e = 1-b*y 
+      add           GR_p_Table2    = 0xB0, GR_p_Table
+};; 
+
+{ .mfi 
+      ldfd          FR_p_0p25      = [GR_c_Table]
+      fcvt.xf       FR_r_XNS       = FR_r_IXNS // Convert int repr to float
+      shr.u         GR_p_X_Sgnd    = GR_p_X_Sgnd, 60 
+                                       // Obtain only 4 bits of significand
+}
+{ .mfi 
+      nop.m        0
+      nop.f        0
+      add          GR_p_Bias           = 0xffff, r0 // Set bias
+};; 
+
+{ .mfi 
+      ldfpd        FR_r_A2H, FR_r_A2L  = [GR_r_sin_Table], 16 
+      nop.f        0
+      shl          GR_p_XN             = GR_p_Exp, 4
+                       // Shift exp to 4 bits left to set place for significand
+} 
+{ .mlx
+      ldfe         FR_r_A6         = [GR_r_sin_Table2], 16
+      movl         GR_p_0p75       = 0xfffec // 0.75
+};; 
+
+{ .mfi 
+      ldfpd        FR_r_A1H, FR_r_A1L = [GR_r_sin_Table], 16 
+      nop.f        0
+      or           GR_p_XN         = GR_p_XN, GR_p_X_Sgnd 
+                                 // Combine exp with 4 high bits of significand
+} 
+{ .mfi
+      ldfe         FR_r_A5         = [GR_r_sin_Table2], 16 
+      nop.f        0
+      sub          GR_p_Exp        = GR_p_Exp, GR_p_Bias // Unbiased exp
+};; 
+
+{ .mmi 
+      ldfe         FR_r_A9         = [GR_r_sin_Table], 16 
+      ldfe         FR_r_A4         = [GR_r_sin_Table2], 16 
+      cmp.gtu.unc  p10, p11        = GR_p_0p75, GR_p_XN // sgnd(x) < 0.75
+};; 
+
+{ .mfi 
+      ldfe          FR_r_A8        = [GR_r_sin_Table], 16 
+      fma.s1        FR_z_E2        = FR_z_E0,FR_z_E0,FR_z_E0 //  e2 = e+e^2
+(p10) cmp.gt.unc    p9, p10        = -2, GR_p_Exp //  x < 0.25
+} 
+{ .mfi
+      ldfe          FR_r_A3        = [GR_r_sin_Table2], 16 
+      fma.s1        FR_z_E1        = FR_z_E0,FR_z_E0,f0 // e1 = e^2
+(p11) add           GR_p_Offset    = 168, r0 // [0.75;1] interval
+};; 
+
+{ .mmi 
+(p10) add           GR_p_Offset    = 147, r0 // [0.25;0.75] interval
+      ldfe          FR_r_A7        = [GR_r_sin_Table], 16 
+(p9)  cmp.gt.unc    p8, p9         = -3, GR_p_Exp // x < 0.125
+};; 
+
+.pred.rel "mutex",p9,p8
+{ .mmi 
+(p9)  add           GR_p_Offset    = 126, r0 // [0.125;0.25] interval
+(p8)  add           GR_p_Offset    = 189, r0 // [0.;0.125] interval
+      nop.i         0 
+};; 
+
+{ .mmf 
+      shladd        GR_p_Table     = GR_p_Offset, 4, GR_p_Table //Make addresses
+      shladd        GR_p_Table2    = GR_p_Offset, 4, GR_p_Table2
+      fma.s1        FR_r_XS        = FR_r_AbsX , f1, FR_r_XNS // xs = |x|-[x]
+};; 
+
+.pred.rel "mutex",p8,p11
+{ .mfi 
+      ldfpd         FR_p_A5H, FR_p_A5L = [GR_p_Table], 16 
+(p11) fms.s1        FR_p_XR            = f1, f1, FR_p_AbsX // r = 1 - |x|
+                                                 // for [0.75;1] interval
+      nop.i         0 
+}
+{ .mfi 
+      ldfpd        FR_p_A2H, FR_p_A2L = [GR_p_Table2], 16 
+(p8)  fms.s1       FR_p_XR            = FR_p_AbsX, f1, f0 // r = |x|
+                                                      // for [0.;0.125] interval
+      nop.i         0 
+};;
+
+{ .mfi 
+      ldfpd         FR_p_A4H, FR_p_A4L = [GR_p_Table], 16 
+      fma.s1        FR_z_Y1        = FR_z_Y0,FR_z_E2,FR_z_Y0 // y1 = y+y*e2
+      nop.i         0 
+}
+{ .mfi 
+      ldfpd         FR_p_A1H, FR_p_A1L = [GR_p_Table2], 16 
+      fma.s1        FR_z_E3        = FR_z_E1,FR_z_E1,FR_z_E0 // e3 = e+e1^2
+      nop.i         0 
+};;
+
+.pred.rel "mutex",p9,p10
+{ .mfi 
+      ldfpd         FR_p_A3H, FR_p_A3L = [GR_p_Table], 16 
+(p9)  fms.s1        FR_p_XR        = FR_p_AbsX, f1, f0 // r = |x|
+                                                  // for [0.125;0.25] interval
+      nop.i         0 
+}
+{ .mfi 
+      ldfpd         FR_p_A0H, FR_p_A0L  = [GR_p_Table2], 16 
+(p10) fms.s1        FR_p_XR        = FR_p_AbsX, f1, FR_p_0p5 // r = |x| - 0.5
+                                                 // for [0.25;0.75] interval
+      nop.i         0 
+};;
+
+{ .mmi 
+      ldfe          FR_p_A20       = [GR_p_Table], 16 
+      ldfe          FR_p_A12       = [GR_p_Table2], 16 
+      nop.i         0
+};;
+
+{ .mfi 
+      ldfe          FR_p_A19       = [GR_p_Table], 16 
+      fma.s1        FR_r_XS2       = FR_r_XS, FR_r_XS, f0 // xs^2
+      nop.i         0 
+}
+{ .mfi 
+      ldfe          FR_p_A11       = [GR_p_Table2], 16 
+      nop.f         0
+      nop.i         0 
+};;
+
+{ .mmi 
+      ldfe          FR_p_A18       = [GR_p_Table], 16 
+      ldfe          FR_p_A10       = [GR_p_Table2], 16 
+      nop.i         0
+};;
+
+.pred.rel "mutex",p12,p13
+{ .mfi 
+      ldfe          FR_p_A17       = [GR_p_Table], 16 
+      fma.s1        FR_z_Y2        = FR_z_Y1,FR_z_E3,FR_z_Y0 // y2 = y+y1*e3
+      nop.i         0 
+}
+{ .mfi 
+      ldfe          FR_p_A9        = [GR_p_Table2], 16 
+      fnma.s1       FR_z_R0        = f8,FR_z_Q0,f1 //  r = a-b*q
+      nop.i         0 
+};;
+
+{ .mmi 
+      ldfe          FR_p_A16       = [GR_p_Table], 16 
+      ldfe          FR_p_A8        = [GR_p_Table2], 16 
+      nop.i         0 
+};;
+
+{ .mmi 
+      ldfe          FR_p_A15       = [GR_p_Table], 16 
+      ldfe          FR_p_A7        = [GR_p_Table2], 16 
+      nop.i         0
+};;
+
+{ .mfi 
+      ldfe          FR_p_A14       = [GR_p_Table], 16 
+      fma.s1        FR_r_TH        = FR_r_A2H, FR_r_XS2, f0 // neg sin
+      nop.i         0 
+}
+{ .mfi 
+      ldfe          FR_p_A6        = [GR_p_Table2], 16 
+      fma.s1        FR_r_TL        =   FR_r_A2L, FR_r_XS2, f0 // neg sin
+      nop.i         0 
+};;
+
+{ .mfi 
+      ldfe          FR_p_A13       = [GR_p_Table], 16 
+      fms.s1        FR_r_XS2L      = FR_r_XS, FR_r_XS, FR_r_XS2 // xs^2 delta
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_Temp5H     = FR_p_A5H, FR_p_XR, f0 // Low poly
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_XR2       = FR_p_XR, FR_p_XR, f0 // poly tail
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fabs          FR_r_XS        = FR_r_XS // Absolute value of xs
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_Temp2H    = FR_p_A2H, FR_p_XR, f0 // High poly
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fnma.s1       FR_z_E4        = f8,FR_z_Y2,f1 //  e4 = 1-b*y2
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_z_ZH        = FR_z_R0,FR_z_Y2,FR_z_Q0 // 1/x = q+r*y2
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fms.s1        FR_r_TT        = FR_r_A2H, FR_r_XS2, FR_r_TH // neg sin
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_r_ResH      = FR_r_TH, f1, FR_r_A1H // neg sin
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_r_TL        = FR_r_A2H, FR_r_XS2L, FR_r_TL // neg sin
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fms.s1        FR_p_Temp5L    = FR_p_A5H, FR_p_XR, FR_p_Temp5H // Low poly
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_Poly5H    = FR_p_Temp5H, f1, FR_p_A4H // Low poly
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fms.s1        FR_p_Temp2L    = FR_p_A2H, FR_p_XR, FR_p_Temp2H // High poly
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_Poly2H    = FR_p_Temp2H, f1, FR_p_A1H // High poly
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_XR3       = FR_p_XR2, FR_p_XR,  f0 // r^3
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fms.s1        FR_p_XR2L      = FR_p_XR, FR_p_XR, FR_p_XR2 // r^2 delta
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_A18       = FR_p_A19, FR_p_XR, FR_p_A18 // poly tail
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_A14       = FR_p_A15, FR_p_XR, FR_p_A14 // poly tail
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_XR4       = FR_p_XR2, FR_p_XR2, f0 // poly tail
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_z_Y3        = FR_z_Y2,FR_z_E4,FR_z_Y2 //  y3 = y2+y2*e4
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_Temp5L    = FR_p_A5L, FR_p_XR, FR_p_Temp5L // Low poly
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fms.s1        FR_p_Poly5L    = FR_p_A4H, f1, FR_p_Poly5H // Low poly
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_Temp4H    = FR_p_Poly5H, FR_p_XR, f0 // Low poly
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_Temp2L    = FR_p_A2L, FR_p_XR, FR_p_Temp2L // High poly
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fms.s1        FR_p_Poly2L    = FR_p_A1H, f1, FR_p_Poly2H // High poly
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_Temp1H    = FR_p_Poly2H, FR_p_XR, f0 // High poly
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fms.s1        FR_p_XR3L      = FR_p_XR2, FR_p_XR, FR_p_XR3 // x^3 delta
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_A16       = FR_p_A17, FR_p_XR, FR_p_A16 //poly tail
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fms.s1        FR_r_ResL      = FR_r_A1H, f1, FR_r_ResH // neg sin
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_r_TL        = FR_r_TL, f1, FR_r_TT // neg sin
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_Temp5L    = FR_p_Temp5L, f1, FR_p_A4L // Low poly
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_Poly5L    = FR_p_Poly5L, f1, FR_p_Temp5H //Low poly
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fms.s1        FR_p_Temp4L    = FR_p_Poly5H, FR_p_XR, FR_p_Temp4H//Low poly
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_Poly4H    = FR_p_Temp4H, f1, FR_p_A3H // Low poly
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_Temp2L    = FR_p_Temp2L, f1, FR_p_A1L // High poly
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_Poly2L    = FR_p_Poly2L, f1, FR_p_Temp2H // High poly
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fms.s1        FR_p_Temp1L    = FR_p_Poly2H,FR_p_XR,FR_p_Temp1H //High poly
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_Poly1H    = FR_p_Temp1H, f1, FR_p_A0H // High poly
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_A12       = FR_p_A13, FR_p_XR, FR_p_A12 // poly tail
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_XR3L      = FR_p_XR2L, FR_p_XR, FR_p_XR3L // x^3 low
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_Poly5L    = FR_p_Poly5L, f1, FR_p_Temp5L //Low poly
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_A10       = FR_p_A11, FR_p_XR, FR_p_A10 //poly tail
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fms.s1        FR_p_Poly4L    = FR_p_A3H, f1, FR_p_Poly4H /// Low poly
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_A6        = FR_p_A7, FR_p_XR, FR_p_A6 // poly tail
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_A8        = FR_p_A9, FR_p_XR, FR_p_A8 // poly tail
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_XR6       = FR_p_XR4, FR_p_XR2, f0 // r^6
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_Poly2L    = FR_p_Poly2L, f1, FR_p_Temp2L // High poly
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fms.s1        FR_p_Poly1L    = FR_p_A0H, f1, FR_p_Poly1H // High poly
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_r_ResL      = FR_r_ResL, f1, FR_r_TH // neg sin
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_r_TT        = FR_r_TL, f1, FR_r_A1L // neg sin
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_Temp4L    = FR_p_Poly5L,FR_p_XR,FR_p_Temp4L //Low poly
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_A18       = FR_p_A20, FR_p_XR2, FR_p_A18 // poly tail
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_Poly4L    = FR_p_Poly4L, f1, FR_p_Temp4H // Low poly
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_A14       = FR_p_A16, FR_p_XR2, FR_p_A14 // poly tail
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_A6        = FR_p_A8, FR_p_XR2, FR_p_A6 // poly tail
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_A10       = FR_p_A12, FR_p_XR2, FR_p_A10 // poly tail
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_Temp1L    = FR_p_Poly2L,FR_p_XR,FR_p_Temp1L //High poly
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_Poly1L    = FR_p_Poly1L, f1, FR_p_Temp1H // High poly
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_r_ResL      = FR_r_ResL, f1, FR_r_TT // neg sin
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_r_TH        = FR_r_ResH, FR_r_XS2, f0 // neg sin
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_Temp4L    = FR_p_Temp4L, f1, FR_p_A3L // Low poly
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_Poly3H    = FR_p_Poly4H, FR_p_XR3, f0 // Low poly
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_A14       = FR_p_A18, FR_p_XR4, FR_p_A14 // poly tail
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_XR8       = FR_p_XR4, FR_p_XR4, f0 // r^8
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_r_TL        = FR_r_ResH, FR_r_XS2L, f0 // neg sin
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fnma.s1       FR_z_R1        = f8,FR_z_ZH,f1 //  r1 = a-b*x
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_Temp1L    = FR_p_Temp1L, f1, FR_p_A0L // High poly
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_A6        = FR_p_A10, FR_p_XR4, FR_p_A6 // poly tail
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fms.s1        FR_r_TT        = FR_r_ResH, FR_r_XS2, FR_r_TH // neg sin
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_r_Res3H     = FR_r_TH, f1, f1 // neg sin
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_Poly4L    = FR_p_Poly4L, f1, FR_p_Temp4L // Low poly
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_Poly3L    = FR_p_Poly4H, FR_p_XR3L, f0 // Low poly
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_Poly0H    = FR_p_Poly3H, f1, FR_p_Poly1H // Result
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_r_A7        = FR_r_A8, FR_r_XS2, FR_r_A7 // neg sin
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_r_TL        = FR_r_ResL, FR_r_XS2, FR_r_TL // neg sin
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_r_XS4       = FR_r_XS2, FR_r_XS2, f0 // xs^4
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_Poly1L    = FR_p_Poly1L, f1, FR_p_Temp1L // High poly
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_PolyTail  = FR_p_A14, FR_p_XR8, FR_p_A6 // poly tail
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fms.s1        FR_r_Res3L     = f1, f1, FR_r_Res3H // neg sin
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_r_ResH      = FR_r_Res3H, FR_r_XS, f0 // neg sin
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fms.s1        FR_p_Temp0L    = FR_p_Poly4H,FR_p_XR3,FR_p_Poly3H //Low poly
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_Poly3L    = FR_p_Poly4L,FR_p_XR3,FR_p_Poly3L //Low poly
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fms.s1        FR_p_Poly0L    = FR_p_Poly1H, f1, FR_p_Poly0H // Result
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_z_ZL        = FR_z_R1,FR_z_Y3, f0 //  x_lo = r1*y3
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_r_TL        = FR_r_TL, f1, FR_r_TT // neg sin
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_r_A3        = FR_r_A4, FR_r_XS2, FR_r_A3 /// neg sin
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_Poly1L    = FR_p_PolyTail,FR_p_XR6,FR_p_Poly1L // High
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_r_A5        = FR_r_A6, FR_r_XS2, FR_r_A5 // neg sin
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_r_Res3L     = FR_r_Res3L, f1, FR_r_TH // neg sin
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fms.s1        FR_r_ResL      = FR_r_Res3H, FR_r_XS, FR_r_ResH // neg sin
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_Poly3L    = FR_p_Poly3L, f1, FR_p_Temp0L // Low poly
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_r_A7        = FR_r_A9,  FR_r_XS4, FR_r_A7 // neg sin
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_Poly0L    = FR_p_Poly0L, f1, FR_p_Poly3H // result
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+(p14) fma.s1        f8             = FR_p_Poly0H, FR_z_ZH, f0 // z*poly
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_Temp1L    = FR_p_Poly0H, FR_z_ZL, f0 // z*poly low
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_r_A3        = FR_r_A5, FR_r_XS4, FR_r_A3 // sin tail
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_r_XS7       = FR_r_XS4, FR_r_XS2, f0  // xs^6
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_r_Res3L     = FR_r_Res3L, f1, FR_r_TL // sin low
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_r_XS8       = FR_r_XS4, FR_r_XS4, f0 // xs^8
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_Temp0H    = FR_p_Poly3L, f1, FR_p_Poly1L // result
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+(p14) fms.s1        FR_p_Temp1H    = FR_p_Poly0H, FR_z_ZH, f8 // hi result
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_r_XS7       = FR_r_XS7, FR_r_XS,  f0 // xs^7
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_r_ResL      = FR_r_Res3L, FR_r_XS, FR_r_ResL // lo result
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_r_Tail      = FR_r_A7, FR_r_XS8, FR_r_A3 // tail result
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_p_Poly0L    = FR_p_Poly0L, f1, FR_p_Temp0H // lo result
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_r_ResL      = FR_r_Tail, FR_r_XS7, FR_r_ResL // lo result
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+(p14) fma.s1        FR_p_Temp1L    = FR_p_Poly0L,FR_z_ZH,FR_p_Temp1L //hi result
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_r_TT        = FR_r_ResL, f1, f0 // for low result
+      nop.i         0 
+};;
+
+.pred.rel "mutex",p12,p13
+{ .mfi 
+      nop.m         0 
+(p14) fma.s1        FR_p_Temp1L    = FR_p_Temp1L, f1, FR_p_Temp1H // for lo res
+      nop.i         0 
+};;
+
+{ .mfi 
+(p10) cmp.eq        p13, p12       = r0, r0 // set p13, clear p12
+      fma.s1        FR_r_Res1H     = FR_r_ResH, f1, FR_r_TT // hi res
+      nop.i         0 
+};;
+
+{ .mfb 
+(p9)  cmp.eq        p13, p12       = r0, r0 // set p13, clear p12
+(p14) fma.s0        f8             =   f8, f1, FR_p_Temp1L // Final result
+(p14) br.ret.spnt   b0 // Exit for  0 < |X| < 1 path (positive arguments)///////
+};;
+
+{ .mfi 
+(p11) cmp.eq        p13, p12       = r0, r0 // set p13, clear p12
+      fms.s1        FR_r_Res1L     = FR_r_ResH, f1, FR_r_Res1H // Low sin result
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_r_Res1L     = FR_r_Res1L, f1, FR_r_TT // Low sin result
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_r_TL        = FR_p_Poly0L,FR_r_Res1H,f0 //Low sin result
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_r_TL        = FR_p_Poly0H, FR_r_Res1L, FR_r_TL //Low sin
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_r_ResH      = FR_p_Poly0H, FR_r_Res1H, FR_r_TL //High sin
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fms.s1        FR_r_ResL      = FR_p_Poly0H,FR_r_Res1H,FR_r_ResH //Low res
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      frcpa.s1      FR_r_Y0,p0     = f1,FR_r_ResH //  y = frcpa(b)
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fneg          FR_r_NegOne    = f1 // Construct -1.0
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_r_ResL      = FR_r_ResL, f1, FR_r_TL // low sin
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_r_Q0        = f1,FR_r_Y0,f0 // q = a*y
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fnma.s1       FR_r_E0        = FR_r_Y0,FR_r_ResH,f1 // e = 1-b*y 
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_r_E2        = FR_r_E0,FR_r_E0,FR_r_E0 // e2 = e+e^2
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_r_E1        = FR_r_E0,FR_r_E0,f0 // e1 = e^2
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_r_Y1        = FR_r_Y0,FR_r_E2,FR_r_Y0 //  y1 = y+y*e2
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_r_E3        = FR_r_E1,FR_r_E1,FR_r_E0 //  e3 = e+e1^2
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_r_Y2        = FR_r_Y1,FR_r_E3,FR_r_Y0 //  y2 = y+y1*e3
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fnma.s1       FR_r_R0        = FR_r_ResH,FR_r_Q0,f1 //  r = a-b*q
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fnma.s1       FR_r_E4        = FR_r_ResH,FR_r_Y2,f1 //  e4 = 1-b*y2
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_r_ZH        = FR_r_R0,FR_r_Y2,FR_r_Q0 //  x = q+r*y2
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_r_Y3        = FR_r_Y2,FR_r_E4,FR_r_Y2 //  y3 = y2+y2*e4
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fnma.s1       FR_r_R1        = FR_r_ResH,FR_r_ZH,f1 //  r1 = a-b*x
+      nop.i         0 
+};;
+
+{ .mfi 
+      nop.m         0 
+      fnma.s1       FR_r_R1        = FR_r_ResL,FR_r_ZH,FR_r_R1 // r1=r1 - b_lo*X
+      nop.i         0 
+}
+{ .mfi 
+      nop.m         0 
+      fma.s1        FR_r_ZHN       = FR_r_ZH,FR_r_NegOne, f0 // Negate
+      nop.i         0 
+};;
+
+.pred.rel "mutex",p13,p12
+{ .mfb 
+      nop.m         0 
+      fnma.s0       f8             = FR_r_R1,FR_r_Y3,FR_r_ZHN // Result for neg
+      br.ret.sptk   b0  // Exit for  0 < |X| < 1 path (negative arguments)//////
+};;
+
+
+
+
+//  SPECIALS (x for natval, nan, +/-inf or +/-0) ///////////////////////////////
+//------------------------------------------------------------------------------
+.align 32
+tgammal_spec:
+{ .mlx
+      nop.m         0 
+      movl          GR_DenOverflow = 0x2000000000000001
+}
+{ .mfi
+      nop.m         0
+      fclass.m      p9,p0          =  f8,0xB // +/-denormals
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fclass.m      p6,p0          =  f8,0x1E1 // Test x for natval, nan, +inf
+      nop.i         0
+};;
+{ .mfi
+      nop.m         0
+      fclass.m      p7,p8          = f8,0x7 // +/-0
+      nop.i         0
+}
+
+{ .mfi
+(p9)  cmp.ltu.unc   p10,p11        = GR_l_signif_Z, GR_DenOverflow  
+(p9)  fnorm.s0      f8 = f8
+      nop.i         0 
+};;
+
+{ .mfb
+      nop.m         0 
+(p9)  fcvt.fx.trunc.s1 FR_n_IXN    = FR_l_AbsX // Round by truncate
+(p11) br.cond.sptk  tgamma_lt_1 // Return to gamma ('good' denormal)////////////
+};;
+
+{ .mfb
+      nop.m         0 
+      nop.f         0 
+(p10) br.cond.spnt  tgammal_overflow // "Bad" denormal - overflow! /////////////
+};;
+
+{ .mfi
+      nop.m         0
+      mov           FR_X           = f8 // for error handler
+      nop.i         0
+}
+{ .mfb
+      nop.m         0
+(p6)  fma.s0        f8             = f8,f1,f8 // res = x + x
+(p6)  br.ret.spnt   b0 // Exit for NAN, INF and NatVals ////////////////////////
+};;
+.pred.rel "mutex",p7,p8
+{ .mfi
+(p7)  mov           GR_Parameter_TAG = 256   // negative
+(p7)  frcpa.s0      f8,p0            = f1,f8 // Raise V flag
+      nop.i         0 
+}
+{ .mfb
+      nop.m         0
+      nop.f         0 
+(p8)  br.cond.spnt  tgammal_singularity // Branch for +ZERO ////////////////////
+};;
+
+{ .mfb
+      nop.m         0 
+      nop.f         0 
+      br.cond.spnt  tgammal_libm_err // Branch for -ZERO ///////////////////////
+};;
+
+
+
+
+// SINGULARITY (x is negative integer or 0) ////////////////////////////////////
+//------------------------------------------------------------------------------
+.align 32
+tgammal_singularity:
+{ .mfi
+      nop.m         0
+      mov           FR_X             = f8  // For error handler
+      mov           GR_Parameter_TAG = 256 // negative
+}
+{ .mfb
+      nop.m         0
+      frcpa.s0      f8,p0 = f0,f0 // Raise V flag
+      br.cond.sptk  tgammal_libm_err // Call error handler /////////////////////
+                                     // with singularity error /////////////////
+};;
+
+
+
+
+// OVERFLOW (result is too big and cannot be represented by normal value) //////
+// ( X > 1755.54 and for denormals with abs value less than 0x2000000000000001 )
+//------------------------------------------------------------------------------
+.align 32
+tgammal_overflow:
+{ .mfi
+      addl          r8             = 0x1FFFE, r0 // Exp of INF
+      fcmp.lt.s1    p15,p14        = f8,f0 // p14 - pos arg, p15 - neg arg
+      nop.i         0 
+};;
+
+{ .mfi
+      setf.exp      f9               = r8
+      mov           FR_X             = f8 // For error handler
+      mov           GR_Parameter_TAG = 255 // overflow
+};;
+
+.pred.rel "mutex",p14,p15
+{ .mfi
+      nop.m         0 
+(p14) fma.s0        f8             = f9,f9,f0 // Set I,O and +INF result
+      nop.i         0 
+}
+{ .mfb
+      nop.m         0 
+(p15) fnma.s0       f8             = f9,f9,f0 // Set I,O and -INF result
+      br.cond.sptk  tgammal_libm_err // Call error handler /////////////////////
+                                     // with overflow error ////////////////////
+};;
+
+
+
+
+
+// UNDERFLOW (x is negative noninteger with big absolute value) ////////////////
+//------------------------------------------------------------------------------
+.align 32
+tgammal_underflow:
+{ .mfi
+      nop.m         0 
+      fcvt.fx.trunc.s1 FR_u_IXN    = f8 // Convert arg to int repres. in FR
+      nop.i         0 
+};;
+
+{ .mmi
+      getf.sig      GR_u_XN        = FR_u_IXN
+      mov           r11            = 0x00001
+      nop.i         0
+};;
+
+{ .mfi
+      setf.exp      f9             = r11
+      nop.f         0
+      nop.i         0
+};;
+
+{ .mfi
+      nop.m         0
+      nop.f         0
+      tbit.z        p6,p7          = GR_u_XN,0 // even or odd
+};;
+
+.pred.rel "mutex",p6,p7
+{ .mfi
+      nop.m         0
+(p6)  fms.s0        f8             = f9,f9,f9 // for negatives
+      nop.i         0
+}
+{ .mfb
+      nop.m         0
+(p7)  fma.s0        f8             = f9,f9,f9 // for positives
+      br.ret.sptk   b0 // Exit for underflow path //////////////////////////////
+};;
+
+
+GLOBAL_LIBM_END(tgammal)
+
+
+
+////////////////// Tgammal error handler ///////////////////////////////////////
+//------------------------------------------------------------------------------
+LOCAL_LIBM_ENTRY(__libm_error_region)
+tgammal_libm_err:
+.prologue
+{ .mfi
+        add   GR_Parameter_Y=-32,sp             // Parameter 2 value
+        nop.f 0
+.save   ar.pfs,GR_SAVE_PFS
+        mov  GR_SAVE_PFS=ar.pfs                 // Save ar.pfs
+}
+{ .mfi
+.fframe 64
+        add sp=-64,sp                           // Create new stack
+        nop.f 0
+        mov GR_SAVE_GP=gp                       // Save gp
+};;
+{ .mmi
+        stfe [GR_Parameter_Y] = FR_Y,16         // Save Parameter 2 on stack
+        add GR_Parameter_X = 16,sp              // Parameter 1 address
+.save   b0, GR_SAVE_B0
+        mov GR_SAVE_B0=b0                       // Save b0
+};;
+.body
+{ .mib
+        stfe [GR_Parameter_X] = FR_X            // Store Parameter 1 on stack
+        add   GR_Parameter_RESULT = 0,GR_Parameter_Y
+        nop.b 0                                 // Parameter 3 address
+}
+{ .mib
+        stfe [GR_Parameter_Y] = FR_RESULT      // Store Parameter 3 on stack
+        add   GR_Parameter_Y = -16,GR_Parameter_Y
+        br.call.sptk b0=__libm_error_support#  // Call error handling function
+};;
+{ .mmi
+        nop.m 999
+        nop.m 999
+        add   GR_Parameter_RESULT = 48,sp
+};;
+{ .mmi
+        ldfe  f8 = [GR_Parameter_RESULT]       // Get return result off stack
+.restore sp
+        add   sp = 64,sp                       // Restore stack pointer
+        mov   b0 = GR_SAVE_B0                  // Restore return address
+};;
+{ .mib
+        mov   gp = GR_SAVE_GP                  // Restore gp
+        mov   ar.pfs = GR_SAVE_PFS             // Restore ar.pfs
+        br.ret.sptk     b0                     // Return
+};;
+
+LOCAL_LIBM_END(__libm_error_region#)
+
+.type   __libm_error_support#,@function
+.global __libm_error_support#