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Update.
2001-05-15 Andreas Jaeger <aj@suse.de> * sysdeps/ieee754/ldbl-128/s_expm1l.c: New file, contributed by Stephen L Moshier <moshier@mediaone.net>. * sysdeps/i386/fpu/libm-test-ulps: Adjust for change. * math/libm-test.inc: Add comment with ToDo. * sysdeps/i386/fpu/e_expl.c: Rewritten to C and using a more accurate algorithm. Patch by Stephen L Moshier <moshier@mediaone.net>. * sysdeps/i386/fpu/e_expl.S: Removed.
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Andreas Jaeger
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14
ChangeLog
14
ChangeLog
@ -1,3 +1,17 @@
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2001-05-15 Andreas Jaeger <aj@suse.de>
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* sysdeps/ieee754/ldbl-128/s_expm1l.c: New file, contributed by
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Stephen L Moshier <moshier@mediaone.net>.
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* sysdeps/i386/fpu/libm-test-ulps: Adjust for change.
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* math/libm-test.inc: Add comment with ToDo.
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* sysdeps/i386/fpu/e_expl.c: Rewritten to C and using a more
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accurate algorithm. Patch by Stephen L Moshier <moshier@mediaone.net>.
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* sysdeps/i386/fpu/e_expl.S: Removed.
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2001-05-14 Roland McGrath <roland@frob.com>
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* csu/Makefile ($(objpfx)g$(start-installed-name)): Turn this into a
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4
NEWS
4
NEWS
@ -6,6 +6,10 @@ Please send GNU C library bug reports using the `glibcbug' script to
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<bugs@gnu.org>. Questions and suggestions should be send to
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<bug-glibc@gnu.org>.
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Version 2.2.4
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* Stephen Moshier implemented expm1 for the 128-bit long double format.
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Version 2.2.3
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* Intel's IA-64 math library is largely integrated. It provides fast and
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@ -104,7 +104,12 @@
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- Compiler has errors
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With e.g. gcc 2.7.2.2 the test for cexp fails because of a compiler error.
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*/
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To Do: All parameter should be numbers that can be represented as
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exact floating point values. Currently some values cannot be represented
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exactly and therefore the result is not the expected result.
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*/
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#ifndef _GNU_SOURCE
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# define _GNU_SOURCE
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@ -1,43 +0,0 @@
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/*
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* Written by J.T. Conklin <jtc@netbsd.org>.
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* Public domain.
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*
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* Adapted for `long double' by Ulrich Drepper <drepper@cygnus.com>.
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*/
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#include <machine/asm.h>
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RCSID("$NetBSD: $")
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/* e^x = 2^(x * log2l(e)) */
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ENTRY(__ieee754_expl)
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fldt 4(%esp)
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/* I added the following ugly construct because expl(+-Inf) resulted
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in NaN. The ugliness results from the bright minds at Intel.
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For the i686 the code can be written better.
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-- drepper@cygnus.com. */
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fxam /* Is NaN or +-Inf? */
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fstsw %ax
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movb $0x45, %dh
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andb %ah, %dh
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cmpb $0x05, %dh
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je 1f /* Is +-Inf, jump. */
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fldl2e
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fmulp /* x * log2(e) */
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fld %st
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frndint /* int(x * log2(e)) */
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fsubr %st,%st(1) /* fract(x * log2(e)) */
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fxch
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f2xm1 /* 2^(fract(x * log2(e))) - 1 */
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fld1
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faddp /* 2^(fract(x * log2(e))) */
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fscale /* e^x */
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fstp %st(1)
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ret
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1: testl $0x200, %eax /* Test sign. */
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jz 2f /* If positive, jump. */
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fstp %st
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fldz /* Set result to 0. */
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2: ret
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END (__ieee754_expl)
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75
sysdeps/i386/fpu/e_expl.c
Normal file
75
sysdeps/i386/fpu/e_expl.c
Normal file
@ -0,0 +1,75 @@
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/*
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* Written by J.T. Conklin <jtc@netbsd.org>.
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* Public domain.
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*
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* Adapted for `long double' by Ulrich Drepper <drepper@cygnus.com>.
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*/
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/*
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* The 8087 method for the exponential function is to calculate
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* exp(x) = 2^(x log2(e))
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* after separating integer and fractional parts
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* x log2(e) = i + f, |f| <= .5
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* 2^i is immediate but f needs to be precise for long double accuracy.
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* Suppress range reduction error in computing f by the following.
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* Separate x into integer and fractional parts
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* x = xi + xf, |xf| <= .5
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* Separate log2(e) into the sum of an exact number c0 and small part c1.
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* c0 + c1 = log2(e) to extra precision
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* Then
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* f = (c0 xi - i) + c0 xf + c1 x
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* where c0 xi is exact and so also is (c0 xi - i).
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* -- moshier@na-net.ornl.gov
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*/
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static long double c0 = 1.44268798828125L;
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static long double c1 = 7.05260771340735992468e-6L;
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long double
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__ieee754_expl (long double x)
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{
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long double res, t;
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/* I added the following ugly construct because expl(+-Inf) resulted
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in NaN. The ugliness results from the bright minds at Intel.
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For the i686 the code can be written better.
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-- drepper@cygnus.com. */
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asm ("fxam\n\t" /* Is NaN or +-Inf? */
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"fstsw %%ax\n\t"
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"movb $0x45, %%dh\n\t"
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"andb %%ah, %%dh\n\t"
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"cmpb $0x05, %%dh\n\t"
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"je 1f\n\t" /* Is +-Inf, jump. */
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"fldl2e\n\t" /* 1 log2(e) */
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"fmul %%st(1),%%st\n\t" /* 1 x log2(e) */
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"frndint\n\t" /* 1 i */
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"fld %%st(1)\n\t" /* 2 x */
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"frndint\n\t" /* 2 xi */
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"fld %%st(1)\n\t" /* 3 i */
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"fldt c0\n\t" /* 4 c0 */
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"fld %%st(2)\n\t" /* 5 xi */
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"fmul %%st(1),%%st\n\t" /* 5 c0 xi */
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"fsubp %%st,%%st(2)\n\t" /* 4 f = c0 xi - i */
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"fld %%st(4)\n\t" /* 5 x */
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"fsub %%st(3),%%st\n\t" /* 5 xf = x - xi */
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"fmulp %%st,%%st(1)\n\t" /* 4 c0 xf */
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"faddp %%st,%%st(1)\n\t" /* 3 f = f + c0 xf */
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"fldt c1\n\t" /* 4 */
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"fmul %%st(4),%%st\n\t" /* 4 c1 * x */
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"faddp %%st,%%st(1)\n\t" /* 3 f = f + c1 * x */
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"f2xm1\n\t" /* 3 2^(fract(x * log2(e))) - 1 */
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"fld1\n\t" /* 4 1.0 */
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"faddp\n\t" /* 3 2^(fract(x * log2(e))) */
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"fstp %%st(1)\n\t" /* 2 */
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"fscale\n\t" /* 2 scale factor is st(1); e^x */
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"fstp %%st(1)\n\t" /* 1 */
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"fstp %%st(1)\n\t" /* 0 */
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"jmp 2f\n\t"
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"1:\ttestl $0x200, %%eax\n\t" /* Test sign. */
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"jz 2f\n\t" /* If positive, jump. */
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"fstp %%st\n\t"
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"fldz\n\t" /* Set result to 0. */
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"2:\t\n"
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: "=t" (res) : "0" (x) : "ax", "dx");
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return res;
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}
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@ -484,13 +484,13 @@ ldouble: 128
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# ctan
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Test "Real part of: ctan (-2 - 3 i) == 0.0037640256415042482 - 1.0032386273536098014 i":
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ildouble: 437
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ldouble: 437
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ildouble: 439
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ldouble: 439
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Test "Imaginary part of: ctan (-2 - 3 i) == 0.0037640256415042482 - 1.0032386273536098014 i":
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float: 1
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ifloat: 1
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ildouble: 1
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ldouble: 1
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ildouble: 2
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ldouble: 2
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Test "Real part of: ctan (0.7 + 1.2 i) == 0.1720734197630349001 + 0.9544807059989405538 i":
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double: 1
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float: 1
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@ -506,13 +506,13 @@ ldouble: 367
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# ctanh
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Test "Real part of: ctanh (-2 - 3 i) == -0.9653858790221331242 + 0.0098843750383224937 i":
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ildouble: 2
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ldouble: 2
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ildouble: 5
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ldouble: 5
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Test "Imaginary part of: ctanh (-2 - 3 i) == -0.9653858790221331242 + 0.0098843750383224937 i":
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float: 1
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ifloat: 1
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ildouble: 23
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ldouble: 23
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ildouble: 25
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ldouble: 25
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Test "Real part of: ctanh (0 + pi/4 i) == 0.0 + 1.0 i":
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Test "Imaginary part of: ctanh (0 + pi/4 i) == 0.0 + 1.0 i":
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float: 1
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@ -551,8 +551,8 @@ double: 24
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float: 12
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idouble: 24
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ifloat: 12
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ldouble: 4
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ildouble: 4
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ldouble: 12
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ildouble: 12
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Test "erfc (9) == 0.41370317465138102381e-36":
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ldouble: 36
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ildouble: 36
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