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authorRoland McGrath <roland@gnu.org>2006-01-28 00:15:15 +0000
committerRoland McGrath <roland@gnu.org>2006-01-28 00:15:15 +0000
commitf964490f3c4f094fd684960c2e98885b23e31376 (patch)
treee10f697bd55240b9be7a9c1a5109ee07893d3136 /sysdeps/ieee754/ldbl-128ibm/s_expm1l.c
parentd421a7801d1bdfd8175e53a79068833ae4de56b1 (diff)
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2006-01-27 Dwayne Grant McConnell <decimal@us.ibm.com> cvs/fedora-glibc-20060130T0922
	    Jakub Jelinek  <jakub@redhat.com>
	    Roland McGrath  <roland@redhat.com>
	    Steven Munroe  <sjmunroe@us.ibm.com>
	    Alan Modra  <amodra@bigpond.net.au>

	* sysdeps/powerpc/powerpc64/fpu/s_truncf.S: Comment fix.
	* sysdeps/powerpc/powerpc32/fpu/s_truncf.S: Likewise.
	* sysdeps/powerpc/powerpc64/fpu/s_llroundf.S: Likewise.

	* sysdeps/powerpc/fpu/libm-test-ulps: Update.

	* math/libm-test.inc (check_float_internal): Allow ulp <= 0.5.
	(erfc_test): Don't run erfcl (27.0L) test if erfcl (27.0L) is
	denormal.
	[TEST_LDOUBLE] (ceil_test, floor_test, llrint_test, llround_test,
	rint_test, round_test, trunc_test): Add new tests.

	* sysdeps/powerpc/powerpc32/fpu/s_copysignl.S: New file.
	* sysdeps/powerpc/powerpc32/fpu/s_fabs.S: New file.
	* sysdeps/powerpc/powerpc32/fpu/s_fabsl.S: New file.
	* sysdeps/powerpc/powerpc32/fpu/s_fdim.c: New file.
	* sysdeps/powerpc/powerpc32/fpu/s_fmax.S: New file.
	* sysdeps/powerpc/powerpc32/fpu/s_fmin.S: New file.
	* sysdeps/powerpc/powerpc32/fpu/s_isnan.c: New file.

	* sysdeps/powerpc/powerpc64/fpu/s_ceill.S: New file.
	* sysdeps/powerpc/powerpc64/fpu/s_copysignl.S: New file.
	* sysdeps/powerpc/powerpc64/fpu/s_fabs.S: New file.
	* sysdeps/powerpc/powerpc64/fpu/s_fabsl.S: New file.
	* sysdeps/powerpc/powerpc64/fpu/s_fdim.c: New file.
	* sysdeps/powerpc/powerpc64/fpu/s_floorl.S: New file.
	* sysdeps/powerpc/powerpc64/fpu/s_fmax.S: New file.
	* sysdeps/powerpc/powerpc64/fpu/s_fmin.S: New file.
	* sysdeps/powerpc/powerpc64/fpu/s_isnan.c: New file.
	* sysdeps/powerpc/powerpc64/fpu/s_llrintl.S: New file.
	* sysdeps/powerpc/powerpc64/fpu/s_llroundl.S: New file.
	* sysdeps/powerpc/powerpc64/fpu/s_lrintl.S: New file.
	* sysdeps/powerpc/powerpc64/fpu/s_lroundl.S: New file.
	* sysdeps/powerpc/powerpc64/fpu/s_nearbyintl.S: New file.
	* sysdeps/powerpc/powerpc64/fpu/s_rintl.S: New file.
	* sysdeps/powerpc/powerpc64/fpu/s_roundl.S: New file.
	* sysdeps/powerpc/powerpc64/fpu/s_truncl.S: New file.

	* sysdeps/unix/sysv/linux/powerpc/Implies: New file.
	* sysdeps/unix/sysv/linux/powerpc/powerpc64/fpu/Implies: New file.
	* sysdeps/unix/sysv/linux/powerpc/powerpc32/fpu/Implies: New file.
	* sysdeps/unix/sysv/linux/powerpc/configure.in: New file.
	* sysdeps/unix/sysv/linux/powerpc/configure: New file.
	* sysdeps/unix/sysv/linux/powerpc/bits/wordsize.h
	(__LONG_DOUBLE_MATH_OPTIONAL): Define.
	(__NO_LONG_DOUBLE_MATH): Define.
	* sysdeps/unix/sysv/linux/powerpc/nldbl-abi.h: New file.
	* sysdeps/powerpc/fpu/s_isnan.c: Include math_ldbl_opt.h.
	* sysdeps/powerpc/powerpc64/fpu/s_ceil.S: Include math_ldbl_opt.h.
	[LONG_DOUBLE_COMPAT] (ceill): Add compatibility symbols.
	* sysdeps/powerpc/powerpc64/fpu/s_copysign.S: Include math_ldbl_opt.h.
	[LONG_DOUBLE_COMPAT] (copysignl): Add compatibility symbols.
	* sysdeps/powerpc/powerpc64/fpu/s_floor.S: Include math_ldbl_opt.h.
	[LONG_DOUBLE_COMPAT] (floorl): Add compatibility symbols.
	* sysdeps/powerpc/powerpc64/fpu/s_llrint.S: Include math_ldbl_opt.h.
	[LONG_DOUBLE_COMPAT] (llrintl, lrintl): Add compatibility symbols.
	* sysdeps/powerpc/powerpc64/fpu/s_llround.S: Include math_ldbl_opt.h.
	[LONG_DOUBLE_COMPAT] (llroundl, lroundl): Add compatibility symbols.
	* sysdeps/powerpc/powerpc64/fpu/s_rint.S: Include math_ldbl_opt.h.
	[LONG_DOUBLE_COMPAT] (rintl): Add compatibility symbols.
	* sysdeps/powerpc/powerpc64/fpu/s_round.S: Include math_ldbl_opt.h.
	[LONG_DOUBLE_COMPAT] (roundl): Add compatibility symbols.
	* sysdeps/powerpc/powerpc64/fpu/s_trunc.S: Include math_ldbl_opt.h.
	[LONG_DOUBLE_COMPAT] (truncl): Add compatibility symbols.
	* sysdeps/powerpc/powerpc32/fpu/s_ceil.S: Include math_ldbl_opt.h.
	[LONG_DOUBLE_COMPAT] (ceill): Add compatibility symbols.
	* sysdeps/powerpc/powerpc32/fpu/s_copysign.S: Include math_ldbl_opt.h.
	[LONG_DOUBLE_COMPAT] (copysignl): Add compatibility symbols.
	* sysdeps/powerpc/powerpc32/fpu/s_floor.S: Include math_ldbl_opt.h.
	[LONG_DOUBLE_COMPAT] (floorl): Add compatibility symbols.
	* sysdeps/powerpc/powerpc32/fpu/s_lrint.S: Include math_ldbl_opt.h.
	[LONG_DOUBLE_COMPAT] (lrintl): Add compatibility symbols.
	* sysdeps/powerpc/powerpc32/fpu/s_llrint.c: Include math_ldbl_opt.h.
	[LONG_DOUBLE_COMPAT] (llrintl): Add compatibility symbols.
	* sysdeps/powerpc/powerpc32/fpu/s_lround.S: Include math_ldbl_opt.h.
	[LONG_DOUBLE_COMPAT] (lroundl): Add compatibility symbols.
	* sysdeps/powerpc/powerpc32/fpu/s_rint.S: Include math_ldbl_opt.h.
	[LONG_DOUBLE_COMPAT] (rintl): Add compatibility symbols.
	* sysdeps/powerpc/powerpc32/fpu/s_round.S: Include math_ldbl_opt.h.
	[LONG_DOUBLE_COMPAT] (roundl): Add compatibility symbols.
	* sysdeps/powerpc/powerpc32/fpu/s_trunc.S: Include math_ldbl_opt.h.
	[LONG_DOUBLE_COMPAT] (truncl): Add compatibility symbols.

	* misc/qefgcvt_r.c [LDBL_MIN_10_EXP == -291] (FLOAT_MIN_10_NORM): New.

	* sysdeps/powerpc/fpu/bits/mathdef.h (__NO_LONG_DOUBLE_MATH): Remove.
	* sysdeps/powerpc/Implies: Add ieee754/ldbl-128ibm.
	* sysdeps/powerpc/powerpc32/Implies: Remove powerpc/soft-fp.
	* sysdeps/ieee754/ldbl-128ibm/Makefile: New file.
	* sysdeps/ieee754/ldbl-128ibm/e_acoshl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/e_acosl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/e_asinl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/e_atan2l.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/e_atanhl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/e_coshl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/e_expl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/e_fmodl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/e_gammal_r.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/e_hypotl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/e_j0l.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/e_j1l.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/e_jnl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/e_lgammal_r.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/e_log10l.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/e_log2l.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/e_logl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/e_powl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/e_rem_pio2l.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/e_remainderl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/e_sinhl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/e_sqrtl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/ieee754.h: New file.
	* sysdeps/ieee754/ldbl-128ibm/k_cosl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/k_sincosl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/k_sinl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/k_tanl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/ldbl2mpn.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/math_ldbl.h: New file.
	* sysdeps/ieee754/ldbl-128ibm/mpn2ldbl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/printf_fphex.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/s_asinhl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/s_atanl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/s_cbrtl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/s_cosl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/s_erfl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/s_expm1l.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/s_fabsl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/s_finitel.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/s_fpclassifyl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/s_frexpl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/s_ilogbl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/s_isinfl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/s_isnanl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/s_log1pl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/s_logbl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/s_modfl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/s_nextafterl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/s_nexttoward.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/s_nexttowardf.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/s_remquol.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/s_rintl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/s_scalblnl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/s_scalbnl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/s_signbitl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/s_sincosl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/s_sinl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/s_tanhl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/s_tanl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/s_truncl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/strtold_l.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/t_sincosl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/w_expl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/s_copysignl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/s_floorl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/s_llrintl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/s_llroundl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/s_roundl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/s_ceill.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/s_nearbyintl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/s_lrintl.c: New file.
	* sysdeps/ieee754/ldbl-128ibm/s_lroundl.c: New file.

	* sysdeps/ieee754/ldbl-128/e_powl.c: Fix old comment.
Diffstat (limited to 'sysdeps/ieee754/ldbl-128ibm/s_expm1l.c')
-rw-r--r--sysdeps/ieee754/ldbl-128ibm/s_expm1l.c160
1 files changed, 160 insertions, 0 deletions
diff --git a/sysdeps/ieee754/ldbl-128ibm/s_expm1l.c b/sysdeps/ieee754/ldbl-128ibm/s_expm1l.c
new file mode 100644
index 0000000000..4908d4e4f3
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-128ibm/s_expm1l.c
@@ -0,0 +1,160 @@
+/*							expm1l.c
+ *
+ *	Exponential function, minus 1
+ *      128-bit long double precision
+ *
+ *
+ *
+ * SYNOPSIS:
+ *
+ * long double x, y, expm1l();
+ *
+ * y = expm1l( x );
+ *
+ *
+ *
+ * DESCRIPTION:
+ *
+ * Returns e (2.71828...) raised to the x power, minus one.
+ *
+ * Range reduction is accomplished by separating the argument
+ * into an integer k and fraction f such that
+ *
+ *     x    k  f
+ *    e  = 2  e.
+ *
+ * An expansion x + .5 x^2 + x^3 R(x) approximates exp(f) - 1
+ * in the basic range [-0.5 ln 2, 0.5 ln 2].
+ *
+ *
+ * ACCURACY:
+ *
+ *                      Relative error:
+ * arithmetic   domain     # trials      peak         rms
+ *    IEEE    -79,+MAXLOG    100,000     1.7e-34     4.5e-35
+ *
+ */
+
+/* Copyright 2001 by Stephen L. Moshier
+
+    This 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.
+
+    This 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 this library; if not, write to the Free Software
+    Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307  USA */
+
+#include "math.h"
+#include "math_private.h"
+#include <math_ldbl_opt.h>
+
+/* exp(x) - 1 = x + 0.5 x^2 + x^3 P(x)/Q(x)
+   -.5 ln 2  <  x  <  .5 ln 2
+   Theoretical peak relative error = 8.1e-36  */
+
+static const long double
+  P0 = 2.943520915569954073888921213330863757240E8L,
+  P1 = -5.722847283900608941516165725053359168840E7L,
+  P2 = 8.944630806357575461578107295909719817253E6L,
+  P3 = -7.212432713558031519943281748462837065308E5L,
+  P4 = 4.578962475841642634225390068461943438441E4L,
+  P5 = -1.716772506388927649032068540558788106762E3L,
+  P6 = 4.401308817383362136048032038528753151144E1L,
+  P7 = -4.888737542888633647784737721812546636240E-1L,
+  Q0 = 1.766112549341972444333352727998584753865E9L,
+  Q1 = -7.848989743695296475743081255027098295771E8L,
+  Q2 = 1.615869009634292424463780387327037251069E8L,
+  Q3 = -2.019684072836541751428967854947019415698E7L,
+  Q4 = 1.682912729190313538934190635536631941751E6L,
+  Q5 = -9.615511549171441430850103489315371768998E4L,
+  Q6 = 3.697714952261803935521187272204485251835E3L,
+  Q7 = -8.802340681794263968892934703309274564037E1L,
+  /* Q8 = 1.000000000000000000000000000000000000000E0 */
+/* C1 + C2 = ln 2 */
+
+  C1 = 6.93145751953125E-1L,
+  C2 = 1.428606820309417232121458176568075500134E-6L,
+/* ln (2^16384 * (1 - 2^-113)) */
+  maxlog = 1.1356523406294143949491931077970764891253E4L,
+/* ln 2^-114 */
+  minarg = -7.9018778583833765273564461846232128760607E1L, big = 2e307L;
+
+
+long double
+__expm1l (long double x)
+{
+  long double px, qx, xx;
+  int32_t ix, sign;
+  ieee854_long_double_shape_type u;
+  int k;
+
+  /* Detect infinity and NaN.  */
+  u.value = x;
+  ix = u.parts32.w0;
+  sign = ix & 0x80000000;
+  ix &= 0x7fffffff;
+  if (ix >= 0x7ff00000)
+    {
+      /* Infinity. */
+      if (((ix & 0xfffff) | u.parts32.w1 | (u.parts32.w2&0x7fffffff) | u.parts32.w3) == 0)
+	{
+	  if (sign)
+	    return -1.0L;
+	  else
+	    return x;
+	}
+      /* NaN. No invalid exception. */
+      return x;
+    }
+
+  /* expm1(+- 0) = +- 0.  */
+  if ((ix == 0) && (u.parts32.w1 | (u.parts32.w2&0x7fffffff) | u.parts32.w3) == 0)
+    return x;
+
+  /* Overflow.  */
+  if (x > maxlog)
+    return (big * big);
+
+  /* Minimum value.  */
+  if (x < minarg)
+    return (4.0/big - 1.0L);
+
+  /* Express x = ln 2 (k + remainder), remainder not exceeding 1/2. */
+  xx = C1 + C2;			/* ln 2. */
+  px = __floorl (0.5 + x / xx);
+  k = px;
+  /* remainder times ln 2 */
+  x -= px * C1;
+  x -= px * C2;
+
+  /* Approximate exp(remainder ln 2).  */
+  px = (((((((P7 * x
+	      + P6) * x
+	     + P5) * x + P4) * x + P3) * x + P2) * x + P1) * x + P0) * x;
+
+  qx = (((((((x
+	      + Q7) * x
+	     + Q6) * x + Q5) * x + Q4) * x + Q3) * x + Q2) * x + Q1) * x + Q0;
+
+  xx = x * x;
+  qx = x + (0.5 * xx + xx * px / qx);
+
+  /* exp(x) = exp(k ln 2) exp(remainder ln 2) = 2^k exp(remainder ln 2).
+
+  We have qx = exp(remainder ln 2) - 1, so
+  exp(x) - 1 = 2^k (qx + 1) - 1
+             = 2^k qx + 2^k - 1.  */
+
+  px = ldexpl (1.0L, k);
+  x = px * qx + (px - 1.0);
+  return x;
+}
+libm_hidden_def (__expm1l)
+long_double_symbol (libm, __expm1l, expm1l);