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authorUlrich Drepper <drepper@redhat.com>2001-02-19 09:09:18 +0000
committerUlrich Drepper <drepper@redhat.com>2001-02-19 09:09:18 +0000
commit8da2915d5dcfa51cb5f9e55f7716b49858c1d59d (patch)
treeaa219472cc41fcb82789b12723628cb6a33cc774 /sysdeps/ia64/fpu/e_remainder.S
parente208f556cad11f729533385e46e4191fcc49aa0a (diff)
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Update.
2001-02-19  Ulrich Drepper  <drepper@redhat.com>

	* libio/iogetline.c: Move return until after last statement.

	* localedata/show-ucs-data.c: Don't show < > for better readability.

	* sysdeps/ia64/fpu/Dist: New file.
	* sysdeps/ia64/fpu/Makefile: New file.
	* sysdeps/ia64/fpu/Versions: New file.
	* sysdeps/ia64/fpu/e_acos.S: New file.
	* sysdeps/ia64/fpu/e_acosf.S: New file.
	* sysdeps/ia64/fpu/e_acosl.S: New file.
	* sysdeps/ia64/fpu/e_asin.S: New file.
	* sysdeps/ia64/fpu/e_asinf.S: New file.
	* sysdeps/ia64/fpu/e_asinl.S: New file.
	* sysdeps/ia64/fpu/e_atan2.S: New file.
	* sysdeps/ia64/fpu/e_atan2f.S: New file.
	* sysdeps/ia64/fpu/e_atan2l.c: New file.
	* sysdeps/ia64/fpu/e_cosh.S: New file.
	* sysdeps/ia64/fpu/e_coshf.S: New file.
	* sysdeps/ia64/fpu/e_coshl.S: New file.
	* sysdeps/ia64/fpu/e_exp.S: New file.
	* sysdeps/ia64/fpu/e_expf.S: New file.
	* sysdeps/ia64/fpu/e_expl.c: New file.
	* sysdeps/ia64/fpu/e_fmod.S: New file.
	* sysdeps/ia64/fpu/e_fmodf.S: New file.
	* sysdeps/ia64/fpu/e_fmodl.S: New file.
	* sysdeps/ia64/fpu/e_hypot.S: New file.
	* sysdeps/ia64/fpu/e_hypotf.S: New file.
	* sysdeps/ia64/fpu/e_hypotl.S: New file.
	* sysdeps/ia64/fpu/e_log.S: New file.
	* sysdeps/ia64/fpu/e_log10.c: New file.
	* sysdeps/ia64/fpu/e_log10f.c: New file.
	* sysdeps/ia64/fpu/e_log10l.c: New file.
	* sysdeps/ia64/fpu/e_logf.S: New file.
	* sysdeps/ia64/fpu/e_logl.c: New file.
	* sysdeps/ia64/fpu/e_pow.S: New file.
	* sysdeps/ia64/fpu/e_powf.S: New file.
	* sysdeps/ia64/fpu/e_powl.S: New file.
	* sysdeps/ia64/fpu/e_rem_pio2.c: New file.
	* sysdeps/ia64/fpu/e_rem_pio2f.c: New file.
	* sysdeps/ia64/fpu/e_remainder.S: New file.
	* sysdeps/ia64/fpu/e_remainderf.S: New file.
	* sysdeps/ia64/fpu/e_remainderl.S: New file.
	* sysdeps/ia64/fpu/e_scalb.S: New file.
	* sysdeps/ia64/fpu/e_scalbf.S: New file.
	* sysdeps/ia64/fpu/e_scalbl.S: New file.
	* sysdeps/ia64/fpu/e_sinh.S: New file.
	* sysdeps/ia64/fpu/e_sinhf.S: New file.
	* sysdeps/ia64/fpu/e_sinhl.S: New file.
	* sysdeps/ia64/fpu/e_sqrt.S: New file.
	* sysdeps/ia64/fpu/e_sqrtf.S: New file.
	* sysdeps/ia64/fpu/e_sqrtl.S: New file.
	* sysdeps/ia64/fpu/k_rem_pio2.c: New file.
	* sysdeps/ia64/fpu/k_rem_pio2f.c: New file.
	* sysdeps/ia64/fpu/k_rem_pio2l.c: New file.
	* sysdeps/ia64/fpu/libm_atan2_reg.S: New file.
	* sysdeps/ia64/fpu/libm_error.c: New file.
	* sysdeps/ia64/fpu/libm_frexp4.S: New file.
	* sysdeps/ia64/fpu/libm_frexp4f.S: New file.
	* sysdeps/ia64/fpu/libm_frexp4l.S: New file.
	* sysdeps/ia64/fpu/libm_reduce.S: New file.
	* sysdeps/ia64/fpu/libm_support.h: New file.
	* sysdeps/ia64/fpu/libm_tan.S: New file.
	* sysdeps/ia64/fpu/s_atan.S: New file.
	* sysdeps/ia64/fpu/s_atanf.S: New file.
	* sysdeps/ia64/fpu/s_atanl.S: New file.
	* sysdeps/ia64/fpu/s_cbrt.S: New file.
	* sysdeps/ia64/fpu/s_cbrtf.S: New file.
	* sysdeps/ia64/fpu/s_cbrtl.S: New file.
	* sysdeps/ia64/fpu/s_ceil.S: New file.
	* sysdeps/ia64/fpu/s_ceilf.S: New file.
	* sysdeps/ia64/fpu/s_ceill.S: New file.
	* sysdeps/ia64/fpu/s_cos.S: New file.
	* sysdeps/ia64/fpu/s_cosf.S: New file.
	* sysdeps/ia64/fpu/s_cosl.S: New file.
	* sysdeps/ia64/fpu/s_expm1.S: New file.
	* sysdeps/ia64/fpu/s_expm1f.S: New file.
	* sysdeps/ia64/fpu/s_expm1l.S: New file.
	* sysdeps/ia64/fpu/s_floor.S: New file.
	* sysdeps/ia64/fpu/s_floorf.S: New file.
	* sysdeps/ia64/fpu/s_floorl.S: New file.
	* sysdeps/ia64/fpu/s_frexp.c: New file.
	* sysdeps/ia64/fpu/s_frexpf.c: New file.
	* sysdeps/ia64/fpu/s_frexpl.c: New file.
	* sysdeps/ia64/fpu/s_ilogb.S: New file.
	* sysdeps/ia64/fpu/s_ilogbf.S: New file.
	* sysdeps/ia64/fpu/s_ilogbl.S: New file.
	* sysdeps/ia64/fpu/s_ldexp.S: New file.
	* sysdeps/ia64/fpu/s_ldexpf.S: New file.
	* sysdeps/ia64/fpu/s_ldexpl.S: New file.
	* sysdeps/ia64/fpu/s_log1p.S: New file.
	* sysdeps/ia64/fpu/s_log1pf.S: New file.
	* sysdeps/ia64/fpu/s_log1pl.S: New file.
	* sysdeps/ia64/fpu/s_logb.S: New file.
	* sysdeps/ia64/fpu/s_logbf.S: New file.
	* sysdeps/ia64/fpu/s_logbl.S: New file.
	* sysdeps/ia64/fpu/s_matherrf.c: New file.
	* sysdeps/ia64/fpu/s_matherrl.c: New file.
	* sysdeps/ia64/fpu/s_modf.S: New file.
	* sysdeps/ia64/fpu/s_modff.S: New file.
	* sysdeps/ia64/fpu/s_modfl.S: New file.
	* sysdeps/ia64/fpu/s_nearbyint.S: New file.
	* sysdeps/ia64/fpu/s_nearbyintf.S: New file.
	* sysdeps/ia64/fpu/s_nearbyintl.S: New file.
	* sysdeps/ia64/fpu/s_rint.S: New file.
	* sysdeps/ia64/fpu/s_rintf.S: New file.
	* sysdeps/ia64/fpu/s_rintl.S: New file.
	* sysdeps/ia64/fpu/s_round.S: New file.
	* sysdeps/ia64/fpu/s_roundf.S: New file.
	* sysdeps/ia64/fpu/s_roundl.S: New file.
	* sysdeps/ia64/fpu/s_scalbn.S: New file.
	* sysdeps/ia64/fpu/s_scalbnf.S: New file.
	* sysdeps/ia64/fpu/s_scalbnl.S: New file.
	* sysdeps/ia64/fpu/s_significand.S: New file.
	* sysdeps/ia64/fpu/s_significandf.S: New file.
	* sysdeps/ia64/fpu/s_significandl.S: New file.
	* sysdeps/ia64/fpu/s_sin.c: New file.
	* sysdeps/ia64/fpu/s_sincos.c: New file.
	* sysdeps/ia64/fpu/s_sincosf.c: New file.
	* sysdeps/ia64/fpu/s_sincosl.c: New file.
	* sysdeps/ia64/fpu/s_sinf.c: New file.
	* sysdeps/ia64/fpu/s_sinl.c: New file.
	* sysdeps/ia64/fpu/s_tan.S: New file.
	* sysdeps/ia64/fpu/s_tanf.S: New file.
	* sysdeps/ia64/fpu/s_tanl.S: New file.
	* sysdeps/ia64/fpu/s_trunc.S: New file.
	* sysdeps/ia64/fpu/s_truncf.S: New file.
	* sysdeps/ia64/fpu/s_truncl.S: New file.
	* sysdeps/ia64/fpu/w_acos.c: New file.
	* sysdeps/ia64/fpu/w_acosf.c: New file.
	* sysdeps/ia64/fpu/w_acosl.c: New file.
	* sysdeps/ia64/fpu/w_asin.c: New file.
	* sysdeps/ia64/fpu/w_asinf.c: New file.
	* sysdeps/ia64/fpu/w_asinl.c: New file.
	* sysdeps/ia64/fpu/w_atan2.c: New file.
	* sysdeps/ia64/fpu/w_atan2f.c: New file.
	* sysdeps/ia64/fpu/w_atan2l.c: New file.
	* sysdeps/ia64/fpu/w_cosh.c: New file.
	* sysdeps/ia64/fpu/w_coshf.c: New file.
	* sysdeps/ia64/fpu/w_coshl.c: New file.
	* sysdeps/ia64/fpu/w_exp.c: New file.
	* sysdeps/ia64/fpu/w_expf.c: New file.
	* sysdeps/ia64/fpu/w_fmod.c: New file.
	* sysdeps/ia64/fpu/w_fmodf.c: New file.
	* sysdeps/ia64/fpu/w_fmodl.c: New file.
	* sysdeps/ia64/fpu/w_hypot.c: New file.
	* sysdeps/ia64/fpu/w_hypotf.c: New file.
	* sysdeps/ia64/fpu/w_hypotl.c: New file.
	* sysdeps/ia64/fpu/w_log.c: New file.
	* sysdeps/ia64/fpu/w_log10.c: New file.
	* sysdeps/ia64/fpu/w_log10f.c: New file.
	* sysdeps/ia64/fpu/w_log10l.c: New file.
	* sysdeps/ia64/fpu/w_logf.c: New file.
	* sysdeps/ia64/fpu/w_logl.c: New file.
	* sysdeps/ia64/fpu/w_pow.c: New file.
	* sysdeps/ia64/fpu/w_powf.c: New file.
	* sysdeps/ia64/fpu/w_powl.c: New file.
	* sysdeps/ia64/fpu/w_remainder.c: New file.
	* sysdeps/ia64/fpu/w_remainderf.c: New file.
	* sysdeps/ia64/fpu/w_remainderl.c: New file.
	* sysdeps/ia64/fpu/w_scalb.c: New file.
	* sysdeps/ia64/fpu/w_scalbf.c: New file.
	* sysdeps/ia64/fpu/w_scalbl.c: New file.
	* sysdeps/ia64/fpu/w_sqrt.c: New file.
	* sysdeps/ia64/fpu/w_sqrtf.c: New file.
	* sysdeps/ia64/fpu/w_sqrtl.c: New file.
	* sysdeps/ia64/fpu/libm-test-ulps: Adjust for long double
	implementation.
	* sysdeps/ia64/fpu/bits/mathdef.h: Correct float_t and double_t types.
	Change FP_ILOGBNAN for new implementation.
	* Verions.def: Add 2.2.3 versions.
Diffstat (limited to 'sysdeps/ia64/fpu/e_remainder.S')
-rw-r--r--sysdeps/ia64/fpu/e_remainder.S592
1 files changed, 592 insertions, 0 deletions
diff --git a/sysdeps/ia64/fpu/e_remainder.S b/sysdeps/ia64/fpu/e_remainder.S
new file mode 100644
index 0000000000..c8aca1742f
--- /dev/null
+++ b/sysdeps/ia64/fpu/e_remainder.S
@@ -0,0 +1,592 @@
+  .file "remainder.asm"
+// Copyright (c) 2000, 2001, 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.
+//
+// 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://developer.intel.com/opensource.
+//
+// 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
+//          set [the previously overwritten] GR_Parameter_RESULT.
+//11/29/00  Set FR_Y to f9
+//
+// API
+//====================================================================
+// double remainder(double,double);   
+//
+// Overview of operation
+//====================================================================
+//  remainder(a,b)=a-i*b,
+//  where i is an integer such that, if b!=0 and a is finite, 
+//  |a/b-i|<=1/2. If |a/b-i|=1/2, i is even.
+//
+// Algorithm
+//====================================================================
+// a). eliminate special cases
+// b). if |a/b|<0.25 (first quotient estimate), return a
+// c). use single precision divide algorithm to get quotient q
+//     rounded to 24 bits of precision 
+// d). calculate partial remainders (using both q and q-ulp); 
+//     select one and RZ(a/b) based on the sign of |a|-|b|*q   
+// e). if the exponent difference (exponent(a)-exponent(b))
+//     is less than 24 (quotient estimate<2^{24}-2), use RZ(a/b) 
+//     and sticky bits to round to integer; exit loop and
+//     calculate final remainder
+// f). if exponent(a)-exponent(b)>=24, select new value of a as
+//     the partial remainder calculated using RZ(a/b); 
+//     repeat from c). 
+//
+// Special cases
+//====================================================================
+// 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 
+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             = f9
+FR_RESULT        = f8
+
+
+
+  .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
+
+{ .mfi
+  alloc r32=ar.pfs,1,4,4,0
+  // f13=|a|
+  fmerge.s f13=f0,f8
+  nop.i 0
+}
+  {.mfi
+  nop.m 0
+  // f14=|b|
+  fmerge.s f14=f0,f9
+  nop.i 0;;
+}
+ {.mlx
+  mov r28=0x2ffdd
+  // r2=2^{23}
+  movl r3=0x4b000000;;
+}
+
+// Y +-NAN, +-inf, +-0?     p11
+{ .mfi
+	  setf.exp f32=r28
+(p0)  fclass.m.unc  p11,p0 = f9, 0xe7           
+      nop.i 999
+}
+// qnan snan inf norm     unorm 0 -+
+// 1    1    1   0        0     0 11
+// e                      3
+// X +-NAN, +-inf, ?        p9
+{ .mfi
+      nop.m 999
+(p0)  fclass.m.unc  p9,p0 = f8, 0xe3           
+      nop.i 999;; 
+}
+
+{.mfi
+  nop.m 0
+  mov f12=f0
+  nop.i 0
+}
+{ .mfi
+  // set p7=1
+  cmp.eq.unc p7,p0=r0,r0
+  // Step (1)
+  // y0 = 1 / b in f10
+  frcpa.s1 f10,p6=f13,f14
+  nop.i 0;;
+} 
+
+{.bbb
+  (p9) br.cond.spnt L(FREM_X_NAN_INF)
+  (p11) br.cond.spnt L(FREM_Y_NAN_INF_ZERO)
+  nop.b 0
+}  {.mfi
+   nop.m 0
+   // set D flag if a (f8) is denormal
+   fnma.s0 f6=f8,f1,f8
+   nop.i 0;;
+} 
+
+
+L(remloop24): 
+  { .mfi
+  nop.m 0
+  // Step (2)
+  // q0 = a * y0 in f12
+  (p6) fma.s1 f12=f13,f10,f0
+  nop.i 0
+} { .mfi
+  nop.m 0
+  // Step (3)
+  // e0 = 1 - b * y0 in f7
+  (p6) fnma.s1 f7=f14,f10,f1
+  nop.i 0;;
+}  {.mlx
+  nop.m 0
+  // r2=1.25*2^{-24}
+  movl r2=0x33a00000;;
+} 
+
+{.mfi
+  nop.m 0
+  // q1=q0*(1+e0)
+  fma.s1 f15=f12,f7,f12
+  nop.i 0
+}
+{ .mfi
+  nop.m 0
+  // Step (4)
+  // e1 = e0 * e0 + E in f7
+  (p6) fma.s1 f7=f7,f7,f32
+  nop.i 0;;
+}
+ {.mii
+  (p7) getf.exp r29=f12
+  (p7) mov r28=0xfffd
+  nop.i 0;;
+}
+ { .mfi
+  // f12=2^{23}
+  setf.s f12=r3
+  // Step (5)
+  // q2 = q1 + e1 * q1 in f11
+  (p6) fma.s.s1 f11=f7,f15,f15
+  nop.i 0
+} { .mfi
+   nop.m 0
+  // Step (6)
+  // q2 = q1 + e1 * q1 in f6
+  (p6) fma.s1 f6=f7,f15,f15
+  nop.i 0;;
+} 
+
+ {.mmi
+  // f15=1.25*2^{-24}
+  setf.s f15=r2
+  // q<1/4 ? (i.e. expon< -2) 
+  (p7) cmp.gt p7,p0=r28,r29
+  nop.i 0;;
+}
+
+{.mfb
+  // r29= -32+bias
+  mov r29=0xffdf
+ // if |a/b|<1/4, set D flag before returning 
+ (p7) fma.d.s0 f9=f9,f0,f8
+  nop.b 0;;
+}
+ {.mfb
+ nop.m 0
+ // can be combined with bundle above if sign of 0 or
+ // FTZ enabled are not important
+ (p7) fmerge.s f8=f8,f9
+ // return if |a|<4*|b| (estimated quotient < 1/4)
+ (p7) br.ret.spnt b0;;
+}
+  {.mfi
+  // f7=2^{-32}
+  setf.exp f7=r29
+  // set f8 to current a value | sign
+  fmerge.s f8=f8,f13
+  nop.i 0;;
+} 
+
+
+  {.mfi
+  getf.exp r28=f6
+  // last step ? (q<2^{23})
+  fcmp.lt.unc.s1 p0,p12=f6,f12
+  nop.i 0;;
+}
+  {.mfi
+  nop.m 0
+  // r=a-b*q
+  fnma.s1 f6=f14,f11,f13
+  nop.i 0
+} {.mfi
+  // r2=23+bias
+  mov r2=0xffff+23
+  // q'=q-q*(1.25*2^{-24})   (q'=q-ulp)
+  fnma.s.s1 f15=f11,f15,f11
+  nop.i 0;;
+}
+  {.mmi
+  nop.m 0
+  cmp.eq p11,p14=r2,r28
+  nop.i 0;;
+} 
+
+.pred.rel "mutex",p11,p14
+  {.mfi
+  nop.m 0
+  // if exp_q=2^23, then r=a-b*2^{23}
+  (p11) fnma.s1 f13=f12,f14,f13
+  nop.i 0
+} 
+{.mfi
+  nop.m 0
+  // r2=a-b*q'
+  (p14) fnma.s1 f13=f14,f15,f13
+  nop.i 0;;
+}
+  {.mfi
+  nop.m 0
+  // r>0 iff q=RZ(a/b) and inexact
+  fcmp.gt.unc.s1 p8,p0=f6,f0
+  nop.i 0
+} {.mfi
+  nop.m 0
+  // r<0 iff q'=RZ(a/b) and inexact
+  (p14) fcmp.lt.unc.s1 p9,p10=f6,f0
+  nop.i 0;;
+}
+
+.pred.rel "mutex",p8,p9
+  {.mfi
+   nop.m 0 
+  // (p8) Q=q+(last iteration ? sticky bits:0)
+  // i.e. Q=q+q*x  (x=2^{-32} or 0)
+  (p8) fma.s1 f11=f11,f7,f11
+  nop.i 0
+} {.mfi
+  nop.m 0
+  // (p9) Q=q'+(last iteration ? sticky bits:0)
+  // i.e. Q=q'+q'*x  (x=2^{-32} or 0)
+  (p9) fma.s1 f11=f15,f7,f15
+  nop.i 0;;
+}
+
+  {.mfb
+  nop.m 0
+  //  (p9) set r=r2 (new a, if not last iteration)
+  // (p10) new a =r
+  (p10) mov f13=f6
+  (p12) br.cond.sptk L(remloop24);;
+} 
+
+// last iteration
+  {.mfi
+  nop.m 0
+  // set f9=|b|*sgn(a)
+  fmerge.s f9=f8,f9
+  nop.i 0
+}
+  {.mfi
+  nop.m 0
+  // round to integer
+  fcvt.fx.s1 f11=f11
+  nop.i 0;;
+}
+  {.mfi
+  nop.m 0
+  // save sign of a
+  fmerge.s f7=f8,f8
+  nop.i 0
+} {.mfi 
+  nop.m 0
+  // normalize
+  fcvt.xf f11=f11
+  nop.i 0;;
+} 
+  {.mfi
+  nop.m 0
+  // This can be removed if sign of 0 is not important 
+  // get remainder using sf1
+  fnma.d.s1 f12=f9,f11,f8
+  nop.i 0
+}
+  {.mfi
+  nop.m 0
+  // get remainder
+  fnma.d.s0 f8=f9,f11,f8
+  nop.i 0;;
+}
+  {.mfi
+  nop.m 0
+  // f12=0?
+  // This can be removed if sign of 0 is not important 
+  fcmp.eq.unc.s1 p8,p0=f12,f0
+  nop.i 0;;
+}
+  {.mfb
+  nop.m 0
+  // if f8=0, set sign correctly
+  // This can be removed if sign of 0 is not important 
+  (p8) fmerge.s f8=f7,f8
+  // return
+  br.ret.sptk b0;;
+}
+
+
+L(FREM_X_NAN_INF): 
+
+// Y zero ?
+{.mfi 
+  nop.m 0
+  fma.s1 f10=f9,f1,f0
+  nop.i 0;;
+}
+{.mfi
+ nop.m 0
+ fcmp.eq.unc.s1 p11,p0=f10,f0
+ nop.i 0;;
+}
+{.mib
+  nop.m 0
+  nop.i 0
+  // if Y zero
+  (p11) br.cond.spnt L(FREM_Y_ZERO);;                        
+}
+
+// X infinity? Return QNAN indefinite
+{ .mfi
+      nop.m 999
+(p0)  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 
+      nop.i 999;; 
+}
+// Y NaN ?
+{.mfi
+	 nop.m 999
+(p8) fclass.m.unc p0,p8=f9,0xc3
+	 nop.i 0;;
+}
+{.mfi
+	nop.m 999
+	// also set Denormal flag if necessary
+(p8) fma.s0 f9=f9,f1,f0
+    nop.i 0
+} 
+{ .mfi
+      nop.m 999
+(p8)  frcpa.s0 f8,p7 = f8,f8           
+      nop.i 999 ;;
+}
+
+{.mfi
+      nop.m 999
+(p11) mov f10=f8
+	  nop.i 0
+}
+{ .mfi
+      nop.m 999
+(p8) fma.d 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);;                        
+}
+{ .mib
+	nop.m 0
+	nop.i 0
+	br.ret.spnt    b0 ;;                        
+}
+
+
+L(FREM_Y_NAN_INF_ZERO): 
+
+// Y INF
+{ .mfi
+      nop.m 999
+(p0)  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 ;;                        
+}
+
+// Y NAN?
+{ .mfi
+      nop.m 999
+(p0)  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 ;;                        
+}
+
+L(FREM_Y_ZERO):
+// Y zero? Must be zero at this point
+// because it is the only choice left.
+// Return QNAN indefinite
+
+// X NAN?
+{ .mfi
+      nop.m 999
+(p0)  fclass.m.unc  p9,p10 = f8, 0xc3           
+      nop.i 999 ;;
+}
+{ .mfi
+      nop.m 999
+(p10)  fclass.nm  p9,p10 = f8, 0xff           
+      nop.i 999 ;;
+}
+
+{.mfi
+ nop.m 999
+ (p9) frcpa f11,p7=f8,f0
+ nop.i 0;;
+}
+
+{ .mfi
+      nop.m 999
+(p10)  frcpa         f11,p7 = f0,f0  
+	  nop.i 999;;         
+}
+
+{ .mfi
+      nop.m 999
+(p0)  fmerge.s      f10 = f8, f8             
+      nop.i 999
+}
+
+{ .mfi
+      nop.m 999
+(p0)  fma.d f8=f11,f1,f0                     
+      nop.i 999
+}
+
+
+L(EXP_ERROR_RETURN): 
+
+{ .mib
+(p0)  mov   GR_Parameter_TAG = 124                                 
+	  nop.i 999
+(p0)  br.sptk __libm_error_region;; 
+}
+
+.endp remainder
+ASM_SIZE_DIRECTIVE(remainder)
+#ifdef _LIBC
+ASM_SIZE_DIRECTIVE(__remainder)
+#endif
+
+
+
+.proc __libm_error_region
+__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         // 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
+        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  
+        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
+};; 
+
+.endp __libm_error_region
+ASM_SIZE_DIRECTIVE(__libm_error_region)
+
+
+
+.type   __libm_error_support#,@function
+.global __libm_error_support#