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Implement ldbl-96 sinl / cosl / sincosl (bug 13851).

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This commit is contained in:
Joseph Myers 2012-03-16 12:28:25 +00:00
parent dd7f470327
commit 8848d99dce
23 changed files with 1072 additions and 372 deletions
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30
ChangeLog
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@ -1,3 +1,33 @@
2012-03-16 Joseph Myers <joseph@codesourcery.com>
[BZ #13851]
* sysdeps/ieee754/ldbl-96/e_rem_pio2l.c: New file.
* sysdeps/ieee754/ldbl-96/k_cosl.c: Likewise.
* sysdeps/ieee754/ldbl-96/k_sinl.c: Likewise.
* sysdeps/ieee754/ldbl-96/t_sincosl.c: Likewise.
* sysdeps/ieee754/ldbl-96/s_cosl.c (__cosl): Correct test for
infinite argument.
* sysdeps/ieee754/ldbl-96/s_sinl.c (__sinl): Likewise.
* sysdeps/ieee754/dbl-64/k_rem_pio2.c: Handle __FLT_EVAL_METHOD__
!= 0 for prec == 2.
* sysdeps/i386/fpu/e_rem_pio2l.c: Remove.
* sysdeps/i386/fpu/k_rem_pio2.c: Likewise.
* sysdeps/i386/fpu/s_cosl.S: Likewise.
* sysdeps/i386/fpu/s_sincosl.S: Likewise.
* sysdeps/i386/fpu/s_sinl.S: Likewise.
* sysdeps/x86_64/fpu/e_rem_pio2l.c: Likewise.
* sysdeps/x86_64/fpu/k_cosl.c: Likewise.
* sysdeps/x86_64/fpu/k_sinl.c: Likewise.
* sysdeps/x86_64/fpu/s_cosl.S: Likewise.
* sysdeps/x86_64/fpu/s_sincosl.S: Likewise.
* sysdeps/x86_64/fpu/s_sinl.S: Likewise.
* math/libm-test.inc (cos_test): Add more tests and enable more
tests for long double.
(sin_test): Likewise.
(sincos_test): Likewise.
* sysdeps/i386/fpu/libm-test-ulps: Update.
* sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
2012-03-16 David S. Miller <davem@davemloft.net>
* sysdeps/sparc/fpu/math_private.h: New file.

2
NEWS
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@ -15,7 +15,7 @@ Version 2.16
13526, 13527, 13528, 13529, 13530, 13531, 13532, 13533, 13547, 13551,
13552, 13553, 13555, 13559, 13566, 13583, 13618, 13637, 13656, 13658,
13673, 13695, 13704, 13706, 13726, 13738, 13786, 13792, 13806, 13840,
13841, 13844, 13846, 13852
13841, 13844, 13846, 13851, 13852
* ISO C11 support:

43
math/libm-test.inc
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@ -2112,16 +2112,20 @@ cos_test (void)
TEST_f_f (cos, 0.75L, 0.731688868873820886311838753000084544L);
#ifndef TEST_LDOUBLE
/* Enable for long double once x86 and x86-64 implementations are fixed. */
TEST_f_f (cos, 0x1p65, 0.99888622066058013610642172179340364209972L);
TEST_f_f (cos, -0x1p65, 0.99888622066058013610642172179340364209972L);
#endif
#ifdef TEST_DOUBLE
TEST_f_f (cos, 0.80190127184058835, 0.69534156199418473);
TEST_f_f (cos, 1e22, 0.5232147853951389454975944733847);
TEST_f_f (cos, 0x1p1023, -0.8263698346141479945007856808117);
#endif
#ifndef TEST_FLOAT
TEST_f_f (cos, 1e22, 0.5232147853951389454975944733847094921409L);
TEST_f_f (cos, 0x1p1023, -0.826369834614147994500785680811743734805L);
#endif
#if defined TEST_LDOUBLE && LDBL_MAX_EXP >= 16384
TEST_f_f (cos, 0x1p16383L, 0.9210843909921906206874509522505756251609L);
#endif
END (cos);
@ -6395,18 +6399,21 @@ sin_test (void)
TEST_f_f (sin, -M_PI_2l, -1);
TEST_f_f (sin, 0.75L, 0.681638760023334166733241952779893935L);
#ifndef TEST_LDOUBLE
/* Enable for long double once x86 and x86-64 implementations are fixed. */
TEST_f_f (sin, 0x1p65, -0.047183876212354673805106149805700013943218L);
TEST_f_f (sin, -0x1p65, 0.047183876212354673805106149805700013943218L);
#endif
#ifdef TEST_DOUBLE
TEST_f_f (sin, 0.80190127184058835, 0.71867942238767868);
TEST_f_f (sin, 2.522464e-1, 2.4957989804940911e-1);
TEST_f_f (sin, 1e22, -0.8522008497671888017727058937530);
TEST_f_f (sin, 0x1p1023, 0.5631277798508840248814522055909);
#endif
#ifndef TEST_FLOAT
TEST_f_f (sin, 1e22, -0.8522008497671888017727058937530293682618L);
TEST_f_f (sin, 0x1p1023, 0.5631277798508840134529434079444683477104L);
#endif
#if defined TEST_LDOUBLE && LDBL_MAX_EXP >= 16384
TEST_f_f (sin, 0x1p16383L, 0.3893629985894208126948115852610595405563L);
#endif
END (sin);
@ -6576,16 +6583,20 @@ sincos_test (void)
TEST_extra (sincos, M_PI_6l*2.0, 0.86602540378443864676372317075293616L, 0.5);
TEST_extra (sincos, 0.75L, 0.681638760023334166733241952779893935L, 0.731688868873820886311838753000084544L);
#ifndef TEST_LDOUBLE
/* Enable for long double once x86 and x86-64 implementations are fixed. */
TEST_extra (sincos, 0x1p65, -0.047183876212354673805106149805700013943218L, 0.99888622066058013610642172179340364209972L);
TEST_extra (sincos, -0x1p65, 0.047183876212354673805106149805700013943218L, 0.99888622066058013610642172179340364209972L);
#endif
#ifdef TEST_DOUBLE
TEST_extra (sincos, 0.80190127184058835, 0.71867942238767868, 0.69534156199418473);
TEST_extra (sincos, 1e22, -0.8522008497671888017727058937530, 0.5232147853951389454975944733847);
TEST_extra (sincos, 0x1p1023, 0.5631277798508840248814522055909, -0.8263698346141479945007856808117);
#endif
#ifndef TEST_FLOAT
TEST_extra (sincos, 1e22, -0.8522008497671888017727058937530293682618L, 0.5232147853951389454975944733847094921409L);
TEST_extra (sincos, 0x1p1023, 0.5631277798508840134529434079444683477104L, -0.826369834614147994500785680811743734805L);
#endif
#if defined TEST_LDOUBLE && LDBL_MAX_EXP >= 16384
TEST_extra (sincos, 0x1p16383L, 0.3893629985894208126948115852610595405563L, 0.9210843909921906206874509522505756251609L);
#endif
END (sincos);

3
sysdeps/i386/fpu/e_rem_pio2l.c
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@ -1,3 +0,0 @@
/* Empty. This file is only meant to avoid compiling the file with the
same name in the libm-ieee754 directory. The code is not used since
there is an assembler version for all users of this file. */

3
sysdeps/i386/fpu/k_rem_pio2.c
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@ -1,3 +0,0 @@
/* Empty. This file is only meant to avoid compiling the file with the
same name in the libm-ieee754 directory. The code is not used since
there is an assembler version for all users of this file. */

43
sysdeps/i386/fpu/libm-test-ulps
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@ -569,12 +569,18 @@ double: 1
float: 1
idouble: 1
ifloat: 1
ildouble: 1
ldouble: 1
Test "cos_downward (2) == -0.4161468365471423869975682295007621897660":
float: 1
ifloat: 1
ildouble: 1
ldouble: 1
Test "cos_downward (3) == -0.9899924966004454572715727947312613023937":
double: 1
idouble: 1
ildouble: 1
ldouble: 1
Test "cos_downward (4) == -0.6536436208636119146391681830977503814241":
float: 1
ifloat: 1
@ -649,6 +655,8 @@ double: 1
float: 1
idouble: 1
ifloat: 1
ildouble: 1
ldouble: 1
# cos_upward
Test "cos_upward (1) == 0.5403023058681397174009366074429766037323":
@ -672,6 +680,8 @@ ldouble: 1
Test "cos_upward (4) == -0.6536436208636119146391681830977503814241":
double: 1
idouble: 1
ildouble: 1
ldouble: 1
Test "cos_upward (5) == 0.2836621854632262644666391715135573083344":
double: 1
idouble: 1
@ -692,6 +702,11 @@ double: 1
float: 1
idouble: 1
ifloat: 1
ildouble: 1
ldouble: 1
Test "cos_upward (9) == -0.9111302618846769883682947111811653112463":
ildouble: 1
ldouble: 1
# cosh
Test "cosh (0.75) == 1.29468328467684468784170818539018176":
@ -1014,8 +1029,8 @@ double: 1
float: 2
idouble: 1
ifloat: 2
ildouble: 1
ldouble: 1
ildouble: 2
ldouble: 2
Test "j0 (10.0) == -0.245935764451348335197760862485328754":
double: 3
float: 1
@ -1031,8 +1046,8 @@ double: 1
float: 2
idouble: 1
ifloat: 2
ildouble: 1
ldouble: 1
ildouble: 2
ldouble: 2
Test "j0 (8.0) == 0.171650807137553906090869407851972001":
float: 1
ifloat: 1
@ -1065,8 +1080,8 @@ double: 1
float: 2
idouble: 1
ifloat: 2
ildouble: 1
ldouble: 1
ildouble: 2
ldouble: 2
Test "jn (0, 10.0) == -0.245935764451348335197760862485328754":
double: 3
float: 1
@ -1082,8 +1097,8 @@ double: 1
float: 2
idouble: 1
ifloat: 2
ildouble: 1
ldouble: 1
ildouble: 2
ldouble: 2
Test "jn (0, 8.0) == 0.171650807137553906090869407851972001":
float: 1
ifloat: 1
@ -1400,6 +1415,8 @@ ifloat: 1
Test "sin_upward (10) == -0.5440211108893698134047476618513772816836":
float: 1
ifloat: 1
ildouble: 1
ldouble: 1
Test "sin_upward (2) == 0.9092974268256816953960198659117448427023":
float: 1
ifloat: 1
@ -1410,12 +1427,18 @@ double: 1
float: 1
idouble: 1
ifloat: 1
ildouble: 1
ldouble: 1
Test "sin_upward (4) == -0.7568024953079282513726390945118290941359":
float: 1
ifloat: 1
ildouble: 1
ldouble: 1
Test "sin_upward (5) == -0.9589242746631384688931544061559939733525":
float: 1
ifloat: 1
ildouble: 1
ldouble: 1
Test "sin_upward (6) == -0.2794154981989258728115554466118947596280":
ildouble: 1
ldouble: 1
@ -2209,8 +2232,8 @@ double: 3
float: 2
idouble: 3
ifloat: 2
ildouble: 1
ldouble: 1
ildouble: 2
ldouble: 2
Function: "j1":
double: 2

54
sysdeps/i386/fpu/s_cosl.S
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@ -1,54 +0,0 @@
/*
* Written by J.T. Conklin <jtc@netbsd.org>.
* Public domain.
*
* Adapted for `long double' by Ulrich Drepper <drepper@cygnus.com>.
* Fixed errno handling by Ulrich Drepper <drepper@redhat.com>.
*/
#define __need_Emath
#include <bits/errno.h>
#include <machine/asm.h>
ENTRY(__cosl)
fldt 4(%esp)
fxam
fstsw %ax
movb $0x45, %dh
andb %ah, %dh
cmpb $0x05, %dh
je 3f
4: fcos
fnstsw %ax
testl $0x400,%eax
jnz 1f
ret
.align ALIGNARG(4)
1: fldpi
fadd %st(0)
fxch %st(1)
2: fprem1
fnstsw %ax
testl $0x400,%eax
jnz 2b
fstp %st(1)
fcos
ret
3:
#ifdef PIC
pushl %ebx
cfi_adjust_cfa_offset (4)
cfi_rel_offset (ebx, 0)
LOAD_PIC_REG (bx)
call __errno_location@PLT
movl $EDOM, (%eax)
popl %ebx
cfi_adjust_cfa_offset (-4)
cfi_restore (ebx)
#else
call __errno_location@PLT
movl $EDOM, (%eax)
#endif
jmp 4b
END (__cosl)
weak_alias (__cosl, cosl)

64
sysdeps/i386/fpu/s_sincosl.S
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@ -1,64 +0,0 @@
/* Compute sine and cosine of argument.
Copyright (C) 1997, 2000 Free Software Foundation, Inc.
This file is part of the GNU C Library.
Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997.
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, see
<http://www.gnu.org/licenses/>. */
#include <machine/asm.h>
#include "bp-sym.h"
#include "bp-asm.h"
#define PARMS LINKAGE /* no space for saved regs */
#define ANGLE PARMS
#define SINP ANGLE+12
#define COSP SINP+PTR_SIZE
.text
ENTRY (BP_SYM (__sincosl))
ENTER
fldt ANGLE(%esp)
fsincos
movl SINP(%esp), %ecx
CHECK_BOUNDS_BOTH_WIDE (%ecx, SINP(%esp), $12)
movl COSP(%esp), %edx
CHECK_BOUNDS_BOTH_WIDE (%edx, COSP(%esp), $12)
fnstsw %ax
testl $0x400,%eax
jnz 1f
fstpt (%edx)
fstpt (%ecx)
LEAVE
ret
.align ALIGNARG(4)
1: fldpi
fadd %st(0)
fxch %st(1)
2: fprem1
fnstsw %ax
testl $0x400,%eax
jnz 2b
fstp %st(1)
fsincos
fstpt (%edx)
fstpt (%ecx)
LEAVE
ret
END (BP_SYM (__sincosl))
weak_alias (BP_SYM (__sincosl), BP_SYM (sincosl))

54
sysdeps/i386/fpu/s_sinl.S
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@ -1,54 +0,0 @@
/*
* Written by J.T. Conklin <jtc@netbsd.org>.
* Public domain.
*
* Adapted for `long double' by Ulrich Drepper <drepper@cygnus.com>.
* Fixed errno handling by Ulrich Drepper <drepper@redhat.com>.
*/
#define __need_Emath
#include <bits/errno.h>
#include <machine/asm.h>
ENTRY(__sinl)
fldt 4(%esp)
fxam
fstsw %ax
movb $0x45, %dh
andb %ah, %dh
cmpb $0x05, %dh
je 3f
4: fsin
fnstsw %ax
testl $0x400,%eax
jnz 1f
ret
.align ALIGNARG(4)
1: fldpi
fadd %st(0)
fxch %st(1)
2: fprem1
fnstsw %ax
testl $0x400,%eax
jnz 2b
fstp %st(1)
fsin
ret
3:
#ifdef PIC
pushl %ebx
cfi_adjust_cfa_offset (4)
cfi_rel_offset (ebx, 0)
LOAD_PIC_REG (bx)
call __errno_location@PLT
movl $EDOM, (%eax)
popl %ebx
cfi_adjust_cfa_offset (-4)
cfi_restore (ebx)
#else
call __errno_location@PLT
movl $EDOM, (%eax)
#endif
jmp 4b
END (__sinl)
weak_alias (__sinl, sinl)

17
sysdeps/ieee754/dbl-64/k_rem_pio2.c
View File

@ -273,13 +273,16 @@ recompute:
y[0] = (ih==0)? fw: -fw;
break;
case 1:
case 2:
fw = 0.0;
for (i=jz;i>=0;i--) fw += fq[i];
y[0] = (ih==0)? fw: -fw;
fw = fq[0]-fw;
for (i=1;i<=jz;i++) fw += fq[i];
y[1] = (ih==0)? fw: -fw;
case 2:;
#if __FLT_EVAL_METHOD__ != 0
volatile
#endif
double fv = 0.0;
for (i=jz;i>=0;i--) fv += fq[i];
y[0] = (ih==0)? fv: -fv;
fv = fq[0]-fv;
for (i=1;i<=jz;i++) fv += fq[i];
y[1] = (ih==0)? fv: -fv;
break;
case 3: /* painful */
for (i=jz;i>0;i--) {

236
sysdeps/ieee754/ldbl-96/e_rem_pio2l.c Normal file
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@ -0,0 +1,236 @@
/* Extended-precision floating point argument reduction.
Copyright (C) 1999-2012 Free Software Foundation, Inc.
This file is part of the GNU C Library.
Based on quad-precision code by Jakub Jelinek <jj@ultra.linux.cz>
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, see
<http://www.gnu.org/licenses/>. */
#include <math.h>
#include <math_private.h>
/* Table of constants for 2/pi, 5628 hexadecimal digits of 2/pi. */
static const int32_t two_over_pi[] = {
0xa2f983, 0x6e4e44, 0x1529fc, 0x2757d1, 0xf534dd, 0xc0db62,
0x95993c, 0x439041, 0xfe5163, 0xabdebb, 0xc561b7, 0x246e3a,
0x424dd2, 0xe00649, 0x2eea09, 0xd1921c, 0xfe1deb, 0x1cb129,
0xa73ee8, 0x8235f5, 0x2ebb44, 0x84e99c, 0x7026b4, 0x5f7e41,
0x3991d6, 0x398353, 0x39f49c, 0x845f8b, 0xbdf928, 0x3b1ff8,
0x97ffde, 0x05980f, 0xef2f11, 0x8b5a0a, 0x6d1f6d, 0x367ecf,
0x27cb09, 0xb74f46, 0x3f669e, 0x5fea2d, 0x7527ba, 0xc7ebe5,
0xf17b3d, 0x0739f7, 0x8a5292, 0xea6bfb, 0x5fb11f, 0x8d5d08,
0x560330, 0x46fc7b, 0x6babf0, 0xcfbc20, 0x9af436, 0x1da9e3,
0x91615e, 0xe61b08, 0x659985, 0x5f14a0, 0x68408d, 0xffd880,
0x4d7327, 0x310606, 0x1556ca, 0x73a8c9, 0x60e27b, 0xc08c6b,
0x47c419, 0xc367cd, 0xdce809, 0x2a8359, 0xc4768b, 0x961ca6,
0xddaf44, 0xd15719, 0x053ea5, 0xff0705, 0x3f7e33, 0xe832c2,
0xde4f98, 0x327dbb, 0xc33d26, 0xef6b1e, 0x5ef89f, 0x3a1f35,
0xcaf27f, 0x1d87f1, 0x21907c, 0x7c246a, 0xfa6ed5, 0x772d30,
0x433b15, 0xc614b5, 0x9d19c3, 0xc2c4ad, 0x414d2c, 0x5d000c,
0x467d86, 0x2d71e3, 0x9ac69b, 0x006233, 0x7cd2b4, 0x97a7b4,
0xd55537, 0xf63ed7, 0x1810a3, 0xfc764d, 0x2a9d64, 0xabd770,
0xf87c63, 0x57b07a, 0xe71517, 0x5649c0, 0xd9d63b, 0x3884a7,
0xcb2324, 0x778ad6, 0x23545a, 0xb91f00, 0x1b0af1, 0xdfce19,
0xff319f, 0x6a1e66, 0x615799, 0x47fbac, 0xd87f7e, 0xb76522,
0x89e832, 0x60bfe6, 0xcdc4ef, 0x09366c, 0xd43f5d, 0xd7de16,
0xde3b58, 0x929bde, 0x2822d2, 0xe88628, 0x4d58e2, 0x32cac6,
0x16e308, 0xcb7de0, 0x50c017, 0xa71df3, 0x5be018, 0x34132e,
0x621283, 0x014883, 0x5b8ef5, 0x7fb0ad, 0xf2e91e, 0x434a48,
0xd36710, 0xd8ddaa, 0x425fae, 0xce616a, 0xa4280a, 0xb499d3,
0xf2a606, 0x7f775c, 0x83c2a3, 0x883c61, 0x78738a, 0x5a8caf,
0xbdd76f, 0x63a62d, 0xcbbff4, 0xef818d, 0x67c126, 0x45ca55,
0x36d9ca, 0xd2a828, 0x8d61c2, 0x77c912, 0x142604, 0x9b4612,
0xc459c4, 0x44c5c8, 0x91b24d, 0xf31700, 0xad43d4, 0xe54929,
0x10d5fd, 0xfcbe00, 0xcc941e, 0xeece70, 0xf53e13, 0x80f1ec,
0xc3e7b3, 0x28f8c7, 0x940593, 0x3e71c1, 0xb3092e, 0xf3450b,
0x9c1288, 0x7b20ab, 0x9fb52e, 0xc29247, 0x2f327b, 0x6d550c,
0x90a772, 0x1fe76b, 0x96cb31, 0x4a1679, 0xe27941, 0x89dff4,
0x9794e8, 0x84e6e2, 0x973199, 0x6bed88, 0x365f5f, 0x0efdbb,
0xb49a48, 0x6ca467, 0x427271, 0x325d8d, 0xb8159f, 0x09e5bc,
0x25318d, 0x3974f7, 0x1c0530, 0x010c0d, 0x68084b, 0x58ee2c,
0x90aa47, 0x02e774, 0x24d6bd, 0xa67df7, 0x72486e, 0xef169f,
0xa6948e, 0xf691b4, 0x5153d1, 0xf20acf, 0x339820, 0x7e4bf5,
0x6863b2, 0x5f3edd, 0x035d40, 0x7f8985, 0x295255, 0xc06437,
0x10d86d, 0x324832, 0x754c5b, 0xd4714e, 0x6e5445, 0xc1090b,
0x69f52a, 0xd56614, 0x9d0727, 0x50045d, 0xdb3bb4, 0xc576ea,
0x17f987, 0x7d6b49, 0xba271d, 0x296996, 0xacccc6, 0x5414ad,
0x6ae290, 0x89d988, 0x50722c, 0xbea404, 0x940777, 0x7030f3,
0x27fc00, 0xa871ea, 0x49c266, 0x3de064, 0x83dd97, 0x973fa3,
0xfd9443, 0x8c860d, 0xde4131, 0x9d3992, 0x8c70dd, 0xe7b717,
0x3bdf08, 0x2b3715, 0xa0805c, 0x93805a, 0x921110, 0xd8e80f,
0xaf806c, 0x4bffdb, 0x0f9038, 0x761859, 0x15a562, 0xbbcb61,
0xb989c7, 0xbd4010, 0x04f2d2, 0x277549, 0xf6b6eb, 0xbb22db,
0xaa140a, 0x2f2689, 0x768364, 0x333b09, 0x1a940e, 0xaa3a51,
0xc2a31d, 0xaeedaf, 0x12265c, 0x4dc26d, 0x9c7a2d, 0x9756c0,
0x833f03, 0xf6f009, 0x8c402b, 0x99316d, 0x07b439, 0x15200c,
0x5bc3d8, 0xc492f5, 0x4badc6, 0xa5ca4e, 0xcd37a7, 0x36a9e6,
0x9492ab, 0x6842dd, 0xde6319, 0xef8c76, 0x528b68, 0x37dbfc,
0xaba1ae, 0x3115df, 0xa1ae00, 0xdafb0c, 0x664d64, 0xb705ed,
0x306529, 0xbf5657, 0x3aff47, 0xb9f96a, 0xf3be75, 0xdf9328,
0x3080ab, 0xf68c66, 0x15cb04, 0x0622fa, 0x1de4d9, 0xa4b33d,
0x8f1b57, 0x09cd36, 0xe9424e, 0xa4be13, 0xb52333, 0x1aaaf0,
0xa8654f, 0xa5c1d2, 0x0f3f0b, 0xcd785b, 0x76f923, 0x048b7b,
0x721789, 0x53a6c6, 0xe26e6f, 0x00ebef, 0x584a9b, 0xb7dac4,
0xba66aa, 0xcfcf76, 0x1d02d1, 0x2df1b1, 0xc1998c, 0x77adc3,
0xda4886, 0xa05df7, 0xf480c6, 0x2ff0ac, 0x9aecdd, 0xbc5c3f,
0x6dded0, 0x1fc790, 0xb6db2a, 0x3a25a3, 0x9aaf00, 0x9353ad,
0x0457b6, 0xb42d29, 0x7e804b, 0xa707da, 0x0eaa76, 0xa1597b,
0x2a1216, 0x2db7dc, 0xfde5fa, 0xfedb89, 0xfdbe89, 0x6c76e4,
0xfca906, 0x70803e, 0x156e85, 0xff87fd, 0x073e28, 0x336761,
0x86182a, 0xeabd4d, 0xafe7b3, 0x6e6d8f, 0x396795, 0x5bbf31,
0x48d784, 0x16df30, 0x432dc7, 0x356125, 0xce70c9, 0xb8cb30,
0xfd6cbf, 0xa200a4, 0xe46c05, 0xa0dd5a, 0x476f21, 0xd21262,
0x845cb9, 0x496170, 0xe0566b, 0x015299, 0x375550, 0xb7d51e,
0xc4f133, 0x5f6e13, 0xe4305d, 0xa92e85, 0xc3b21d, 0x3632a1,
0xa4b708, 0xd4b1ea, 0x21f716, 0xe4698f, 0x77ff27, 0x80030c,
0x2d408d, 0xa0cd4f, 0x99a520, 0xd3a2b3, 0x0a5d2f, 0x42f9b4,
0xcbda11, 0xd0be7d, 0xc1db9b, 0xbd17ab, 0x81a2ca, 0x5c6a08,
0x17552e, 0x550027, 0xf0147f, 0x8607e1, 0x640b14, 0x8d4196,
0xdebe87, 0x2afdda, 0xb6256b, 0x34897b, 0xfef305, 0x9ebfb9,
0x4f6a68, 0xa82a4a, 0x5ac44f, 0xbcf82d, 0x985ad7, 0x95c7f4,
0x8d4d0d, 0xa63a20, 0x5f57a4, 0xb13f14, 0x953880, 0x0120cc,
0x86dd71, 0xb6dec9, 0xf560bf, 0x11654d, 0x6b0701, 0xacb08c,
0xd0c0b2, 0x485551, 0x0efb1e, 0xc37295, 0x3b06a3, 0x3540c0,
0x7bdc06, 0xcc45e0, 0xfa294e, 0xc8cad6, 0x41f3e8, 0xde647c,
0xd8649b, 0x31bed9, 0xc397a4, 0xd45877, 0xc5e369, 0x13daf0,
0x3c3aba, 0x461846, 0x5f7555, 0xf5bdd2, 0xc6926e, 0x5d2eac,
0xed440e, 0x423e1c, 0x87c461, 0xe9fd29, 0xf3d6e7, 0xca7c22,
0x35916f, 0xc5e008, 0x8dd7ff, 0xe26a6e, 0xc6fdb0, 0xc10893,
0x745d7c, 0xb2ad6b, 0x9d6ecd, 0x7b723e, 0x6a11c6, 0xa9cff7,
0xdf7329, 0xbac9b5, 0x5100b7, 0x0db2e2, 0x24ba74, 0x607de5,
0x8ad874, 0x2c150d, 0x0c1881, 0x94667e, 0x162901, 0x767a9f,
0xbefdfd, 0xef4556, 0x367ed9, 0x13d9ec, 0xb9ba8b, 0xfc97c4,
0x27a831, 0xc36ef1, 0x36c594, 0x56a8d8, 0xb5a8b4, 0x0ecccf,
0x2d8912, 0x34576f, 0x89562c, 0xe3ce99, 0xb920d6, 0xaa5e6b,
0x9c2a3e, 0xcc5f11, 0x4a0bfd, 0xfbf4e1, 0x6d3b8e, 0x2c86e2,
0x84d4e9, 0xa9b4fc, 0xd1eeef, 0xc9352e, 0x61392f, 0x442138,
0xc8d91b, 0x0afc81, 0x6a4afb, 0xd81c2f, 0x84b453, 0x8c994e,
0xcc2254, 0xdc552a, 0xd6c6c0, 0x96190b, 0xb8701a, 0x649569,
0x605a26, 0xee523f, 0x0f117f, 0x11b5f4, 0xf5cbfc, 0x2dbc34,
0xeebc34, 0xcc5de8, 0x605edd, 0x9b8e67, 0xef3392, 0xb817c9,
0x9b5861, 0xbc57e1, 0xc68351, 0x103ed8, 0x4871dd, 0xdd1c2d,
0xa118af, 0x462c21, 0xd7f359, 0x987ad9, 0xc0549e, 0xfa864f,
0xfc0656, 0xae79e5, 0x362289, 0x22ad38, 0xdc9367, 0xaae855,
0x382682, 0x9be7ca, 0xa40d51, 0xb13399, 0x0ed7a9, 0x480569,
0xf0b265, 0xa7887f, 0x974c88, 0x36d1f9, 0xb39221, 0x4a827b,
0x21cf98, 0xdc9f40, 0x5547dc, 0x3a74e1, 0x42eb67, 0xdf9dfe,
0x5fd45e, 0xa4677b, 0x7aacba, 0xa2f655, 0x23882b, 0x55ba41,
0x086e59, 0x862a21, 0x834739, 0xe6e389, 0xd49ee5, 0x40fb49,
0xe956ff, 0xca0f1c, 0x8a59c5, 0x2bfa94, 0xc5c1d3, 0xcfc50f,
0xae5adb, 0x86c547, 0x624385, 0x3b8621, 0x94792c, 0x876110,
0x7b4c2a, 0x1a2c80, 0x12bf43, 0x902688, 0x893c78, 0xe4c4a8,
0x7bdbe5, 0xc23ac4, 0xeaf426, 0x8a67f7, 0xbf920d, 0x2ba365,
0xb1933d, 0x0b7cbd, 0xdc51a4, 0x63dd27, 0xdde169, 0x19949a,
0x9529a8, 0x28ce68, 0xb4ed09, 0x209f44, 0xca984e, 0x638270,
0x237c7e, 0x32b90f, 0x8ef5a7, 0xe75614, 0x08f121, 0x2a9db5,
0x4d7e6f, 0x5119a5, 0xabf9b5, 0xd6df82, 0x61dd96, 0x023616,
0x9f3ac4, 0xa1a283, 0x6ded72, 0x7a8d39, 0xa9b882, 0x5c326b,
0x5b2746, 0xed3400, 0x7700d2, 0x55f4fc, 0x4d5901, 0x8071e0,
0xe13f89, 0xb295f3, 0x64a8f1, 0xaea74b, 0x38fc4c, 0xeab2bb,
0x47270b, 0xabc3a7, 0x34ba60, 0x52dd34, 0xf8563a, 0xeb7e8a,
0x31bb36, 0x5895b7, 0x47f7a9, 0x94c3aa, 0xd39225, 0x1e7f3e,
0xd8974e, 0xbba94f, 0xd8ae01, 0xe661b4, 0x393d8e, 0xa523aa,
0x33068e, 0x1633b5, 0x3bb188, 0x1d3a9d, 0x4013d0, 0xcc1be5,
0xf862e7, 0x3bf28f, 0x39b5bf, 0x0bc235, 0x22747e, 0xa247c0,
0xd52d1f, 0x19add3, 0x9094df, 0x9311d0, 0xb42b25, 0x496db2,
0xe264b2, 0x5ef135, 0x3bc6a4, 0x1a4ad0, 0xaac92e, 0x64e886,
0x573091, 0x982cfb, 0x311b1a, 0x08728b, 0xbdcee1, 0x60e142,
0xeb641d, 0xd0bba3, 0xe559d4, 0x597b8c, 0x2a4483, 0xf332ba,
0xf84867, 0x2c8d1b, 0x2fa9b0, 0x50f3dd, 0xf9f573, 0xdb61b4,
0xfe233e, 0x6c41a6, 0xeea318, 0x775a26, 0xbc5e5c, 0xcea708,
0x94dc57, 0xe20196, 0xf1e839, 0xbe4851, 0x5d2d2f, 0x4e9555,
0xd96ec2, 0xe7d755, 0x6304e0, 0xc02e0e, 0xfc40a0, 0xbbf9b3,
0x7125a7, 0x222dfb, 0xf619d8, 0x838c1c, 0x6619e6, 0xb20d55,
0xbb5137, 0x79e809, 0xaf9149, 0x0d73de, 0x0b0da5, 0xce7f58,
0xac1934, 0x724667, 0x7a1a13, 0x9e26bc, 0x4555e7, 0x585cb5,
0x711d14, 0x486991, 0x480d60, 0x56adab, 0xd62f64, 0x96ee0c,
0x212ff3, 0x5d6d88, 0xa67684, 0x95651e, 0xab9e0a, 0x4ddefe,
0x571010, 0x836a39, 0xf8ea31, 0x9e381d, 0xeac8b1, 0xcac96b,
0x37f21e, 0xd505e9, 0x984743, 0x9fc56c, 0x0331b7, 0x3b8bf8,
0x86e56a, 0x8dc343, 0x6230e7, 0x93cfd5, 0x6a8f2d, 0x733005,
0x1af021, 0xa09fcb, 0x7415a1, 0xd56b23, 0x6ff725, 0x2f4bc7,
0xb8a591, 0x7fac59, 0x5c55de, 0x212c38, 0xb13296, 0x5cff50,
0x366262, 0xfa7b16, 0xf4d9a6, 0x2acfe7, 0xf07403, 0xd4d604,
0x6fd916, 0x31b1bf, 0xcbb450, 0x5bd7c8, 0x0ce194, 0x6bd643,
0x4fd91c, 0xdf4543, 0x5f3453, 0xe2b5aa, 0xc9aec8, 0x131485,
0xf9d2bf, 0xbadb9e, 0x76f5b9, 0xaf15cf, 0xca3182, 0x14b56d,
0xe9fe4d, 0x50fc35, 0xf5aed5, 0xa2d0c1, 0xc96057, 0x192eb6,
0xe91d92, 0x07d144, 0xaea3c6, 0x343566, 0x26d5b4, 0x3161e2,
0x37f1a2, 0x209eff, 0x958e23, 0x493798, 0x35f4a6, 0x4bdc02,
0xc2be13, 0xbe80a0, 0x0b72a3, 0x115c5f, 0x1e1bd1, 0x0db4d3,
0x869e85, 0x96976b, 0x2ac91f, 0x8a26c2, 0x3070f0, 0x041412,
0xfc9fa5, 0xf72a38, 0x9c6878, 0xe2aa76, 0x50cfe1, 0x559274,
0x934e38, 0x0a92f7, 0x5533f0, 0xa63db4, 0x399971, 0xe2b755,
0xa98a7c, 0x008f19, 0xac54d2, 0x2ea0b4, 0xf5f3e0, 0x60c849,
0xffd269, 0xae52ce, 0x7a5fdd, 0xe9ce06, 0xfb0ae8, 0xa50cce,
0xea9d3e, 0x3766dd, 0xb834f5, 0x0da090, 0x846f88, 0x4ae3d5,
0x099a03, 0x2eae2d, 0xfcb40a, 0xfb9b33, 0xe281dd, 0x1b16ba,
0xd8c0af, 0xd96b97, 0xb52dc9, 0x9c277f, 0x5951d5, 0x21ccd6,
0xb6496b, 0x584562, 0xb3baf2, 0xa1a5c4, 0x7ca2cf, 0xa9b93d,
0x7b7b89, 0x483d38,
};
int32_t
__ieee754_rem_pio2l (long double x, long double *y)
{
double tx[3], ty[3];
int32_t se, j0;
u_int32_t i0, i1;
int sx;
int n, exp;
GET_LDOUBLE_WORDS (se, i0, i1, x);
sx = (se >> 15) & 1;
j0 = (se & 0x7fff) - 0x3fff;
if (j0 < -1)
{
/* |x| < pi/4. */
y[0] = x;
y[1] = 0;
return 0;
}
if (j0 >= 0x8000)
{
/* x is infinite or NaN. */
y[0] = x - x;
y[1] = y[0];
return 0;
}
/* Split the 64 bits of the mantissa into three 24-bit integers
stored in a double array. */
exp = j0 - 23;
tx[0] = (double) (i0 >> 8);
tx[1] = (double) (((i0 << 16) | (i1 >> 16)) & 0xffffff);
tx[2] = (double) ((i1 << 8) & 0xffffff);
n = __kernel_rem_pio2 (tx, ty, exp, 3, 2, two_over_pi);
/* The result is now stored in two double values, we need to convert
it into two long double values. */
if (sx == 0)
{
y[0] = (long double) ty[0] + (long double) ty[1];
y[1] = ty[1] - (y[0] - ty[0]);
return n;
}
else
{
y[0] = -((long double) ty[0] + (long double) ty[1]);
y[1] = -ty[1] - (y[0] + ty[0]);
return -n;
}
}

123
sysdeps/ieee754/ldbl-96/k_cosl.c Normal file
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/* Extended-precision floating point cosine on <-pi/4,pi/4>.
Copyright (C) 1999-2012 Free Software Foundation, Inc.
This file is part of the GNU C Library.
Based on quad-precision cosine by Jakub Jelinek <jj@ultra.linux.cz>
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, see
<http://www.gnu.org/licenses/>. */
#include <math.h>
#include <math_private.h>
/* The polynomials have not been optimized for extended-precision and
may contain more terms than needed. */
static const long double c[] = {
#define ONE c[0]
1.00000000000000000000000000000000000E+00L,
/* cos x ~ ONE + x^2 ( SCOS1 + SCOS2 * x^2 + ... + SCOS4 * x^6 + SCOS5 * x^8 )
x in <0,1/256> */
#define SCOS1 c[1]
#define SCOS2 c[2]
#define SCOS3 c[3]
#define SCOS4 c[4]
#define SCOS5 c[5]
-5.00000000000000000000000000000000000E-01L,
4.16666666666666666666666666556146073E-02L,
-1.38888888888888888888309442601939728E-03L,
2.48015873015862382987049502531095061E-05L,
-2.75573112601362126593516899592158083E-07L,
/* cos x ~ ONE + x^2 ( COS1 + COS2 * x^2 + ... + COS7 * x^12 + COS8 * x^14 )
x in <0,0.1484375> */
#define COS1 c[6]
#define COS2 c[7]
#define COS3 c[8]
#define COS4 c[9]
#define COS5 c[10]
#define COS6 c[11]
#define COS7 c[12]
#define COS8 c[13]
-4.99999999999999999999999999999999759E-01L,
4.16666666666666666666666666651287795E-02L,
-1.38888888888888888888888742314300284E-03L,
2.48015873015873015867694002851118210E-05L,
-2.75573192239858811636614709689300351E-07L,
2.08767569877762248667431926878073669E-09L,
-1.14707451049343817400420280514614892E-11L,
4.77810092804389587579843296923533297E-14L,
/* sin x ~ ONE * x + x^3 ( SSIN1 + SSIN2 * x^2 + ... + SSIN4 * x^6 + SSIN5 * x^8 )
x in <0,1/256> */
#define SSIN1 c[14]
#define SSIN2 c[15]
#define SSIN3 c[16]
#define SSIN4 c[17]
#define SSIN5 c[18]
-1.66666666666666666666666666666666659E-01L,
8.33333333333333333333333333146298442E-03L,
-1.98412698412698412697726277416810661E-04L,
2.75573192239848624174178393552189149E-06L,
-2.50521016467996193495359189395805639E-08L,
};
#define SINCOSL_COS_HI 0
#define SINCOSL_COS_LO 1
#define SINCOSL_SIN_HI 2
#define SINCOSL_SIN_LO 3
extern const long double __sincosl_table[];
long double
__kernel_cosl(long double x, long double y)
{
long double h, l, z, sin_l, cos_l_m1;
int index;
if (signbit (x))
{
x = -x;
y = -y;
}
if (x < 0.1484375L)
{
/* Argument is small enough to approximate it by a Chebyshev
polynomial of degree 16. */
if (x < 0x1p-33L)
if (!((int)x)) return ONE; /* generate inexact */
z = x * x;
return ONE + (z*(COS1+z*(COS2+z*(COS3+z*(COS4+
z*(COS5+z*(COS6+z*(COS7+z*COS8))))))));
}
else
{
/* So that we don't have to use too large polynomial, we find
l and h such that x = l + h, where fabsl(l) <= 1.0/256 with 83
possible values for h. We look up cosl(h) and sinl(h) in
pre-computed tables, compute cosl(l) and sinl(l) using a
Chebyshev polynomial of degree 10(11) and compute
cosl(h+l) = cosl(h)cosl(l) - sinl(h)sinl(l). */
index = (int) (128 * (x - (0.1484375L - 1.0L / 256.0L)));
h = 0.1484375L + index / 128.0;
index *= 4;
l = y - (h - x);
z = l * l;
sin_l = l*(ONE+z*(SSIN1+z*(SSIN2+z*(SSIN3+z*(SSIN4+z*SSIN5)))));
cos_l_m1 = z*(SCOS1+z*(SCOS2+z*(SCOS3+z*(SCOS4+z*SCOS5))));
return __sincosl_table [index + SINCOSL_COS_HI]
+ (__sincosl_table [index + SINCOSL_COS_LO]
- (__sincosl_table [index + SINCOSL_SIN_HI] * sin_l
- __sincosl_table [index + SINCOSL_COS_HI] * cos_l_m1));
}
}

126
sysdeps/ieee754/ldbl-96/k_sinl.c Normal file
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@ -0,0 +1,126 @@
/* Quad-precision floating point sine on <-pi/4,pi/4>.
Copyright (C) 1999-2012 Free Software Foundation, Inc.
This file is part of the GNU C Library.
Based on quad-precision sine by Jakub Jelinek <jj@ultra.linux.cz>
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, see
<http://www.gnu.org/licenses/>. */
/* The polynomials have not been optimized for extended-precision and
may contain more terms than needed. */
#include <math.h>
#include <math_private.h>
/* The polynomials have not been optimized for extended-precision and
may contain more terms than needed. */
static const long double c[] = {
#define ONE c[0]
1.00000000000000000000000000000000000E+00L,
/* cos x ~ ONE + x^2 ( SCOS1 + SCOS2 * x^2 + ... + SCOS4 * x^6 + SCOS5 * x^8 )
x in <0,1/256> */
#define SCOS1 c[1]
#define SCOS2 c[2]
#define SCOS3 c[3]
#define SCOS4 c[4]
#define SCOS5 c[5]
-5.00000000000000000000000000000000000E-01L,
4.16666666666666666666666666556146073E-02L,
-1.38888888888888888888309442601939728E-03L,
2.48015873015862382987049502531095061E-05L,
-2.75573112601362126593516899592158083E-07L,
/* sin x ~ ONE * x + x^3 ( SIN1 + SIN2 * x^2 + ... + SIN7 * x^12 + SIN8 * x^14 )
x in <0,0.1484375> */
#define SIN1 c[6]
#define SIN2 c[7]
#define SIN3 c[8]
#define SIN4 c[9]
#define SIN5 c[10]
#define SIN6 c[11]
#define SIN7 c[12]
#define SIN8 c[13]
-1.66666666666666666666666666666666538e-01L,
8.33333333333333333333333333307532934e-03L,
-1.98412698412698412698412534478712057e-04L,
2.75573192239858906520896496653095890e-06L,
-2.50521083854417116999224301266655662e-08L,
1.60590438367608957516841576404938118e-10L,
-7.64716343504264506714019494041582610e-13L,
2.81068754939739570236322404393398135e-15L,
/* sin x ~ ONE * x + x^3 ( SSIN1 + SSIN2 * x^2 + ... + SSIN4 * x^6 + SSIN5 * x^8 )
x in <0,1/256> */
#define SSIN1 c[14]
#define SSIN2 c[15]
#define SSIN3 c[16]
#define SSIN4 c[17]
#define SSIN5 c[18]
-1.66666666666666666666666666666666659E-01L,
8.33333333333333333333333333146298442E-03L,
-1.98412698412698412697726277416810661E-04L,
2.75573192239848624174178393552189149E-06L,
-2.50521016467996193495359189395805639E-08L,
};
#define SINCOSL_COS_HI 0
#define SINCOSL_COS_LO 1
#define SINCOSL_SIN_HI 2
#define SINCOSL_SIN_LO 3
extern const long double __sincosl_table[];
long double
__kernel_sinl(long double x, long double y, int iy)
{
long double absx, h, l, z, sin_l, cos_l_m1;
int index;
absx = fabsl (x);
if (absx < 0.1484375L)
{
/* Argument is small enough to approximate it by a Chebyshev
polynomial of degree 17. */
if (absx < 0x1p-33L)
if (!((int)x)) return x; /* generate inexact */
z = x * x;
return x + (x * (z*(SIN1+z*(SIN2+z*(SIN3+z*(SIN4+
z*(SIN5+z*(SIN6+z*(SIN7+z*SIN8)))))))));
}
else
{
/* So that we don't have to use too large polynomial, we find
l and h such that x = l + h, where fabsl(l) <= 1.0/256 with 83
possible values for h. We look up cosl(h) and sinl(h) in
pre-computed tables, compute cosl(l) and sinl(l) using a
Chebyshev polynomial of degree 10(11) and compute
sinl(h+l) = sinl(h)cosl(l) + cosl(h)sinl(l). */
index = (int) (128 * (absx - (0.1484375L - 1.0L / 256.0L)));
h = 0.1484375L + index / 128.0;
index *= 4;
if (iy)
l = (x < 0 ? -y : y) - (h - absx);
else
l = absx - h;
z = l * l;
sin_l = l*(ONE+z*(SSIN1+z*(SSIN2+z*(SSIN3+z*(SSIN4+z*SSIN5)))));
cos_l_m1 = z*(SCOS1+z*(SCOS2+z*(SCOS3+z*(SCOS4+z*SCOS5))));
z = __sincosl_table [index + SINCOSL_SIN_HI]
+ (__sincosl_table [index + SINCOSL_SIN_LO]
+ (__sincosl_table [index + SINCOSL_SIN_HI] * cos_l_m1)
+ (__sincosl_table [index + SINCOSL_COS_HI] * sin_l));
return (x < 0) ? -z : z;
}
}

2
sysdeps/ieee754/ldbl-96/s_cosl.c
View File

@ -68,7 +68,7 @@ long double __cosl(long double x)
/* cos(Inf or NaN) is NaN */
else if (se==0x7fff) {
if ((i0 | i1) == 0)
if (i1 == 0 && i0 == 0x80000000)
__set_errno (EDOM);
return x-x;
}

2
sysdeps/ieee754/ldbl-96/s_sinl.c
View File

@ -68,7 +68,7 @@ long double __sinl(long double x)
/* sin(Inf or NaN) is NaN */
else if (se==0x7fff) {
if ((i0 | i1) == 0)
if (i1 == 0 && i0 == 0x80000000)
__set_errno (EDOM);
return x-x;
}

444
sysdeps/ieee754/ldbl-96/t_sincosl.c Normal file
View File

@ -0,0 +1,444 @@
/* Extended-precision floating point sine and cosine tables.
Copyright (C) 1999-2012 Free Software Foundation, Inc.
This file is part of the GNU C Library.
Based on quad-precision tables by Jakub Jelinek <jj@ultra.linux.cz>
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, see
<http://www.gnu.org/licenses/>. */
/* For 0.1484375 + n/128.0, n=0..82 this table contains
first 64 bits of cosine, then at least 64 additional
bits and the same for sine.
0.1484375+82.0/128.0 is the smallest number among above defined numbers
larger than pi/4.
Computed using MPFR.
*/
const long double __sincosl_table[] = {
/* x = 0.1484375 + 0/128. */
0xf.d2f5320e1b7902100p-4L,
-0x6.4b225d06708635580p-68L,
0x2.5dc50bc95711d0d80p-4L,
0x1.787d108fd438cf5a0p-68L,
/* x = 0.1484375 + 1/128. */
0xf.ce1a053e621438b00p-4L,
0x6.d60c76e8c45bf0a80p-68L,
0x2.7d66258bacd96a400p-4L,
-0x1.4cca4c9a3782a6bc0p-68L,
/* x = 0.1484375 + 2/128. */
0xf.c8ffa01ba68074100p-4L,
0x7.e05962b0d9fdf2000p-68L,
0x2.9cfd49b8be4f66540p-4L,
-0x1.89354fe340fbd96c0p-68L,
/* x = 0.1484375 + 3/128. */
0xf.c3a6170f767ac7300p-4L,
0x5.d63d99a9d439e1d80p-68L,
0x2.bc89f9f424de54840p-4L,
0x1.de7ce03b2514952c0p-68L,
/* x = 0.1484375 + 4/128. */
0xf.be0d7f7fef11e7100p-4L,
-0x5.5bc47540b095ba800p-68L,
0x2.dc0bb80b49a97ffc0p-4L,
-0xc.b1722e07246208500p-72L,
/* x = 0.1484375 + 5/128. */
0xf.b835efcf670dd2d00p-4L,
-0x1.90186db968115ec20p-68L,
0x2.fb8205f75e56a2b40p-4L,
0x1.6a1c4792f85625880p-68L,
/* x = 0.1484375 + 6/128. */
0xf.b21f7f5c156696b00p-4L,
0xa.c1fe28ac5fd766700p-76L,
0x3.1aec65df552876f80p-4L,
0x2.ece9a235671324700p-72L,
/* x = 0.1484375 + 7/128. */
0xf.abca467fb3cb8f200p-4L,
-0x2.f960fe2715cc521c0p-68L,
0x3.3a4a5a19d86246700p-4L,
0x1.0f602c44df4fa5140p-68L,
/* x = 0.1484375 + 8/128. */
0xf.a5365e8f1d3ca2800p-4L,
-0x4.1e24a289519b26800p-68L,
0x3.599b652f40ec999c0p-4L,
0x1.f12a0a4c8561de160p-68L,
/* x = 0.1484375 + 9/128. */
0xf.9e63e1d9e8b6f6f00p-4L,
0x2.e296bae5b5ed9c100p-68L,
0x3.78df09db8c332ce00p-4L,
0xd.2b53d865582e45200p-72L,
/* x = 0.1484375 + 10/128. */
0xf.9752eba9fff6b9900p-4L,
-0x7.bd415254fab56cd00p-68L,
0x3.9814cb10513453cc0p-4L,
-0x6.84de43e3595cc8500p-72L,
/* x = 0.1484375 + 11/128. */
0xf.90039843324f9b900p-4L,
0x4.0416c1984b6cbed00p-68L,
0x3.b73c2bf6b4b9f6680p-4L,
0xe.f9499c81f0d965100p-72L,
/* x = 0.1484375 + 12/128. */
0xf.887604e2c39dbb200p-4L,
0xe.4ec5825059a78a000p-72L,
0x3.d654aff15cb457a00p-4L,
0xf.ca854698aba330400p-72L,
/* x = 0.1484375 + 13/128. */
0xf.80aa4fbef750ba800p-4L,
-0x7.c2cc346a06b075c00p-68L,
0x3.f55dda9e62aed7500p-4L,
0x1.3bd7b8e6a3d1635e0p-68L,
/* x = 0.1484375 + 14/128. */
0xf.78a098069792dab00p-4L,
-0x4.3611bda6e483a5980p-68L,
0x4.14572fd94556e6480p-4L,
-0xc.29dfd8ec7722b8400p-72L,
/* x = 0.1484375 + 15/128. */
0xf.7058fde0788dfc800p-4L,
0x5.b8fe88789e4f42500p-72L,
0x4.334033bcd90d66080p-4L,
-0x3.0a0c93e2b47bbae40p-68L,
/* x = 0.1484375 + 16/128. */
0xf.67d3a26af7d07aa00p-4L,
0x4.bd6d42af8c0068000p-68L,
0x4.52186aa5377ab2080p-4L,
0x3.bf2524f52e3a06a80p-68L,
/* x = 0.1484375 + 17/128. */
0xf.5f10a7bb77d3dfa00p-4L,
0xc.1da8b578427832800p-72L,
0x4.70df5931ae1d94600p-4L,
0x7.6fe0dcff47fe31b80p-72L,
/* x = 0.1484375 + 18/128. */
0xf.561030ddd7a789600p-4L,
0xe.a9f4a32c652155500p-72L,
0x4.8f948446abcd6b100p-4L,
-0x8.0334eff185e4d9100p-72L,
/* x = 0.1484375 + 19/128. */
0xf.4cd261d3e6c15bb00p-4L,
0x3.69c8758630d2ac000p-68L,
0x4.ae37710fad27c8a80p-4L,
0x2.9c4cf96c03519b9c0p-68L,
/* x = 0.1484375 + 20/128. */
0xf.43575f94d4f6b2700p-4L,
0x2.f5fb76b14d2a64ac0p-68L,
0x4.ccc7a50127e1de100p-4L,
-0x3.494bf3cfd39ae0840p-68L,
/* x = 0.1484375 + 21/128. */
0xf.399f500c9e9fd3800p-4L,
-0x5.166a8d9c254778900p-68L,
0x4.eb44a5da74f600200p-4L,
0x7.aaa090f0734e28880p-72L,
/* x = 0.1484375 + 22/128. */
0xf.2faa5a1b74e82fd00p-4L,
0x6.1fa05f9177380e900p-68L,
0x5.09adf9a7b9a5a0f80p-4L,
-0x1.c75705c59f5e66be0p-68L,
/* x = 0.1484375 + 23/128. */
0xf.2578a595224dd2e00p-4L,
0x6.bfa2eb2f99cc67500p-68L,
0x5.280326c3cf4818200p-4L,
0x3.ba6bb08eac82c2080p-68L,
/* x = 0.1484375 + 24/128. */
0xf.1b0a5b406b526d900p-4L,
-0x7.93aa0152372f23380p-68L,
0x5.4643b3da29de9b380p-4L,
-0x2.8eaa110f0ccd04c00p-68L,
/* x = 0.1484375 + 25/128. */
0xf.105fa4d66b607a600p-4L,
0x7.d44e0427252044380p-68L,
0x5.646f27e8bd65cbe00p-4L,
0x3.a5d61ff0657229100p-68L,
/* x = 0.1484375 + 26/128. */
0xf.0578ad01ede708000p-4L,
-0x5.c63f6239467b50100p-68L,
0x5.82850a41e1dd46c80p-4L,
-0x9.fd15dbb3244403200p-76L,
/* x = 0.1484375 + 27/128. */
0xe.fa559f5ec3aec3a00p-4L,
0x4.eb03319278a2d4200p-68L,
0x5.a084e28e35fda2780p-4L,
-0x9.202444aace28b3100p-72L,
/* x = 0.1484375 + 28/128. */
0xe.eef6a879146af0c00p-4L,
-0x6.46a15d15f53f2c200p-72L,
0x5.be6e38ce809554280p-4L,
0x3.c14ee9da0d3648400p-68L,
/* x = 0.1484375 + 29/128. */
0xe.e35bf5ccac8905300p-4L,
-0x3.26e2248cb2c5b81c0p-68L,
0x5.dc40955d9084f4880p-4L,
0x2.94675a2498de5d840p-68L,
/* x = 0.1484375 + 30/128. */
0xe.d785b5c44741b4500p-4L,
-0x6.c3a943462cc75eb00p-68L,
0x5.f9fb80f21b5364a00p-4L,
-0x3.bcdabf5af1dd3ad00p-68L,
/* x = 0.1484375 + 31/128. */
0xe.cb7417b8d4ee3ff00p-4L,
-0x3.c8545bf8c55b70e00p-68L,
0x6.179e84a09a5258a80p-4L,
-0x3.f164a0531fc1ada00p-68L,
/* x = 0.1484375 + 32/128. */
0xe.bf274bf0bda4f6200p-4L,
0x4.47e56a09362679900p-68L,
0x6.352929dd264bd4480p-4L,
0x2.02ea766325d8aa8c0p-68L,
/* x = 0.1484375 + 33/128. */
0xe.b29f839f201fd1400p-4L,
-0x4.6c8697d86e9587100p-68L,
0x6.529afa7d51b129600p-4L,
0x3.1ec197c0a840a11c0p-68L,
/* x = 0.1484375 + 34/128. */
0xe.a5dcf0e30cf03e700p-4L,
-0x6.8910f4e13d9aea080p-68L,
0x6.6ff380ba014410a00p-4L,
-0x1.c65cdf4f5c05a02a0p-68L,
/* x = 0.1484375 + 35/128. */
0xe.98dfc6c6be031e600p-4L,
0xd.d3089cbdd18a75b00p-72L,
0x6.8d324731433279700p-4L,
0x3.bc712bcc4ccddc480p-68L,
/* x = 0.1484375 + 36/128. */
0xe.8ba8393eca7821b00p-4L,
-0x5.a9c27cb6e49efee80p-68L,
0x6.aa56d8e8249db4e80p-4L,
0x3.60a761fe3f9e559c0p-68L,
/* x = 0.1484375 + 37/128. */
0xe.7e367d2956cfb1700p-4L,
-0x4.955ee1abe632ffa80p-68L,
0x6.c760c14c8585a5200p-4L,
-0x2.42cb99f5193ad5380p-68L,
/* x = 0.1484375 + 38/128. */
0xe.708ac84d4172a3e00p-4L,
0x2.737662213429e1400p-68L,
0x6.e44f8c36eb10a1c80p-4L,
-0xa.d2f6c3ff0b2b84600p-72L,
/* x = 0.1484375 + 39/128. */
0xe.62a551594b970a700p-4L,
0x7.0b15d41d4c0e48400p-68L,
0x7.0122c5ec5028c8d00p-4L,
-0xc.c540b02cbf333c800p-76L,
/* x = 0.1484375 + 40/128. */
0xe.54864fe33e8575d00p-4L,
-0x5.40a42f1a30e4e5780p-68L,
0x7.1dd9fb1ff46778500p-4L,
0x3.acb970a9f6729c700p-68L,
/* x = 0.1484375 + 41/128. */
0xe.462dfc670d421ab00p-4L,
0x3.d1a15901228f146c0p-68L,
0x7.3a74b8f52947b6800p-4L,
0x1.baf6928eb3fb02180p-68L,
/* x = 0.1484375 + 42/128. */
0xe.379c9045f29d51800p-4L,
-0x3.b7f755b683dfa84c0p-68L,
0x7.56f28d011d9852880p-4L,
0x2.44a75fc29c779bd80p-68L,
/* x = 0.1484375 + 43/128. */
0xe.28d245c58baef7200p-4L,
0x2.25e232abc003c4380p-68L,
0x7.7353054ca72690d80p-4L,
-0x3.391e8e0266194c600p-68L,
/* x = 0.1484375 + 44/128. */
0xe.19cf580eeec046b00p-4L,
-0x5.ebdd058b7f8131080p-68L,
0x7.8f95b0560a9a3bd80p-4L,
-0x1.2084267e23c739ee0p-68L,
/* x = 0.1484375 + 45/128. */
0xe.0a94032dbea7cee00p-4L,
-0x4.222625d0505267a80p-68L,
0x7.abba1d12c17bfa200p-4L,
-0x2.6d0f26c09f2126680p-68L,
/* x = 0.1484375 + 46/128. */
0xd.fb20840f3a9b36f00p-4L,
0x7.ae2c515342890b600p-68L,
0x7.c7bfdaf13e5ed1700p-4L,
0x2.12f8a7525bfb113c0p-68L,
/* x = 0.1484375 + 47/128. */
0xd.eb7518814a7a93200p-4L,
-0x4.433773ef632be3b00p-68L,
0x7.e3a679daaf25c6780p-4L,
-0x1.abd434bfd72f69be0p-68L,
/* x = 0.1484375 + 48/128. */
0xd.db91ff31879917300p-4L,
-0x4.2dbad2f5c7760ae80p-68L,
0x7.ff6d8a34bd5e8fa80p-4L,
-0x2.b368b7d24aea62100p-68L,
/* x = 0.1484375 + 49/128. */
0xd.cb7777ac420705100p-4L,
0x6.8f31e3eb780ce9c80p-68L,
0x8.1b149ce34caa5a500p-4L,
-0x1.9af072f602b295580p-68L,
/* x = 0.1484375 + 50/128. */
0xd.bb25c25b8260c1500p-4L,
-0x9.1843671366e48f400p-72L,
0x8.369b434a372da7f00p-4L,
-0x4.a3758e01c931e1f80p-68L,
/* x = 0.1484375 + 51/128. */
0xd.aa9d2086082706400p-4L,
-0x2.1ae3f617aa166cd00p-72L,
0x8.52010f4f080052100p-4L,
0x3.78bd8dd614753d080p-68L,
/* x = 0.1484375 + 52/128. */
0xd.99ddd44e44a43d500p-4L,
-0x2.b5c5c126adfbef900p-68L,
0x8.6d45935ab396cb500p-4L,
-0x1.bde17dd211ab0caa0p-68L,
/* x = 0.1484375 + 53/128. */
0xd.88e820b1526311e00p-4L,
-0x2.a9e1043f3e565ac80p-68L,
0x8.8868625b4e1dbb200p-4L,
0x3.13310133022527200p-68L,
/* x = 0.1484375 + 54/128. */
0xd.77bc4985e93a60800p-4L,
-0x3.6279746f944394400p-68L,
0x8.a3690fc5bfc11c000p-4L,
-0x6.aca1d8c657aed0b80p-68L,
/* x = 0.1484375 + 55/128. */
0xd.665a937b4ef2b1f00p-4L,
0x6.d51bad6d988a44180p-68L,
0x8.be472f9776d809b00p-4L,
-0xd.477e8edbc29c29900p-72L,
/* x = 0.1484375 + 56/128. */
0xd.54c3441844897fd00p-4L,
-0x7.07ac0f9aa0e459680p-68L,
0x8.d902565817ee78400p-4L,
-0x6.431c32ed7f9fee680p-68L,
/* x = 0.1484375 + 57/128. */
0xd.42f6a1b9f0168ce00p-4L,
-0xf.ce3d09c3726cfb200p-72L,
0x8.f39a191b2ba612300p-4L,
-0x5.c05b0be2a5c002c00p-68L,
/* x = 0.1484375 + 58/128. */
0xd.30f4f392c357ab000p-4L,
0x6.61c5fa8a7d9b26600p-68L,
0x9.0e0e0d81ca6787900p-4L,
0x6.cc92c8ea8c2815c00p-68L,
/* x = 0.1484375 + 59/128. */
0xd.1ebe81a95ee752e00p-4L,
0x4.8a26bcd32d6e92300p-68L,
0x9.285dc9bc45dd9ea00p-4L,
0x3.d02457bcce59c4180p-68L,
/* x = 0.1484375 + 60/128. */
0xd.0c5394d7722281900p-4L,
0x5.e25736c0357470800p-68L,
0x9.4288e48bd0335fc00p-4L,
0x4.1c4cbd2920497a900p-68L,
/* x = 0.1484375 + 61/128. */
0xc.f9b476c897c25c600p-4L,
-0x4.018af22c0cf715080p-68L,
0x9.5c8ef544210ec0c00p-4L,
-0x6.e3b642d55f617ae80p-68L,
/* x = 0.1484375 + 62/128. */
0xc.e6e171f92f2e27f00p-4L,
0x3.2225327ec440ddb00p-68L,
0x9.766f93cd18413a700p-4L,
-0x5.503e303903d754480p-68L,
/* x = 0.1484375 + 63/128. */
0xc.d3dad1b5328a2e400p-4L,
0x5.9f993f4f510881a00p-68L,
0x9.902a58a45e27bed00p-4L,
0x6.8412b426b675ed500p-68L,
/* x = 0.1484375 + 64/128. */
0xc.c0a0e21709883a400p-4L,
-0xf.f6ee1ee5f811c4300p-76L,
0x9.a9bedcdf01b38da00p-4L,
-0x6.c0c287df87e21d700p-68L,
/* x = 0.1484375 + 65/128. */
0xc.ad33f00658fe5e800p-4L,
0x2.04bbc0f3a66a0e6c0p-68L,
0x9.c32cba2b14156ef00p-4L,
0x5.256c4f857991ca680p-72L,
/* x = 0.1484375 + 66/128. */
0xc.99944936cf48c8900p-4L,
0x1.1ff93fe64b3ddb7a0p-68L,
0x9.dc738ad14204e6900p-4L,
-0x6.53a7d2f07a7d9a700p-68L,
/* x = 0.1484375 + 67/128. */
0xc.85c23c26ed7b6f000p-4L,
0x1.4ef546c4792968220p-68L,
0x9.f592e9b66a9cf9000p-4L,
0x6.a3c7aa3c101998480p-68L,
/* x = 0.1484375 + 68/128. */
0xc.71be181ecd6875d00p-4L,
-0x1.d25a9ea5fc335df80p-68L,
0xa.0e8a725d33c828c00p-4L,
0x1.1fa50fd9e9a15ffe0p-68L,
/* x = 0.1484375 + 69/128. */
0xc.5d882d2ee48030c00p-4L,
0x7.c07d28e981e348080p-68L,
0xa.2759c0e79c3558200p-4L,
0x5.27c32b55f5405c180p-68L,
/* x = 0.1484375 + 70/128. */
0xc.4920cc2ec38fb8900p-4L,
0x1.b38827db08884fc60p-68L,
0xa.400072188acf49d00p-4L,
-0x2.94e8c7da1fc7cb900p-68L,
/* x = 0.1484375 + 71/128. */
0xc.348846bbd36313400p-4L,
-0x7.001d401622ec7e600p-68L,
0xa.587e23555bb080800p-4L,
0x6.d02b9c662cdd29300p-68L,
/* x = 0.1484375 + 72/128. */
0xc.1fbeef380e4ffdd00p-4L,
0x5.a613ec8722f644000p-68L,
0xa.70d272a76a8d4b700p-4L,
-0x2.5f136f8ed448b7480p-68L,
/* x = 0.1484375 + 73/128. */
0xc.0ac518c8b6ae71100p-4L,
-0x4.5c85c1146f34ea500p-68L,
0xa.88fcfebd9a8dd4800p-4L,
-0x1.d0c3891061dbc66e0p-68L,
/* x = 0.1484375 + 74/128. */
0xb.f59b17550a4406800p-4L,
0x7.5969296567cf3e380p-68L,
0xa.a0fd66eddb9212300p-4L,
0x2.c28520d3911b8a040p-68L,
/* x = 0.1484375 + 75/128. */
0xb.e0413f84f2a771c00p-4L,
0x6.14946a88cbf4da200p-68L,
0xa.b8d34b36acd987200p-4L,
0x1.0ed343ec65d7e3ae0p-68L,
/* x = 0.1484375 + 76/128. */
0xb.cab7e6bfb2a14aa00p-4L,
-0x4.edd3a8b5c89413680p-68L,
0xa.d07e4c409d08c5000p-4L,
-0x5.c56fa844f53db4780p-68L,
/* x = 0.1484375 + 77/128. */
0xb.b4ff632a908f73f00p-4L,
-0x3.eae7c6346266c4b00p-68L,
0xa.e7fe0b5fc786b2e00p-4L,
-0x6.991e2950ebf5b7780p-68L,
/* x = 0.1484375 + 78/128. */
0xb.9f180ba77dd075100p-4L,
0x6.28e135a9508299000p-68L,
0xa.ff522a954f2ba1700p-4L,
-0x2.621023be91cc0a180p-68L,
/* x = 0.1484375 + 79/128. */
0xb.890237d3bb3c28500p-4L,
-0x4.9eb5fac6fe9405f00p-68L,
0xb.167a4c90d63c42400p-4L,
0x4.cf5493b7cc23bd400p-68L,
/* x = 0.1484375 + 80/128. */
0xb.72be40067aaf2c000p-4L,
0x5.0dbdb7a14c3d7d500p-68L,
0xb.2d7614b1f3aaa2500p-4L,
-0x2.0d291df5881e35c00p-68L,
/* x = 0.1484375 + 81/128. */
0xb.5c4c7d4f7dae91600p-4L,
-0x5.3879330b4e5b67300p-68L,
0xb.44452709a59752900p-4L,
0x5.913765434a59d1100p-72L,
/* x = 0.1484375 + 82/128. */
0xb.45ad4975b1294cb00p-4L,
-0x2.35b30bf1370dd5980p-68L,
0xb.5ae7285bc10cf5100p-4L,
0x5.753847e8f8b7a3100p-68L,
};

3
sysdeps/x86_64/fpu/e_rem_pio2l.c
View File

@ -1,3 +0,0 @@
/* Empty. This file is only meant to avoid compiling the file with the
same name in the libm-ieee754 directory. The code is not used since
there is an assembler version for all users of this file. */

1
sysdeps/x86_64/fpu/k_cosl.c
View File

@ -1 +0,0 @@
/* Not needed. */

1
sysdeps/x86_64/fpu/k_sinl.c
View File

@ -1 +0,0 @@
/* Not needed. */

50
sysdeps/x86_64/fpu/libm-test-ulps
View File

@ -621,12 +621,19 @@ float: 1
ifloat: 1
ildouble: 1
ldouble: 1
Test "cos_downward (10) == -0.8390715290764524522588639478240648345199":
ildouble: 1
ldouble: 1
Test "cos_downward (2) == -0.4161468365471423869975682295007621897660":
float: 1
ifloat: 1
ildouble: 1
ldouble: 1
Test "cos_downward (3) == -0.9899924966004454572715727947312613023937":
float: 1
ifloat: 1
ildouble: 1
ldouble: 1
Test "cos_downward (4) == -0.6536436208636119146391681830977503814241":
float: 1
ifloat: 1
@ -688,6 +695,8 @@ ldouble: 1
Test "cos_towardzero (8) == -0.1455000338086135258688413818311946826093":
float: 1
ifloat: 1
ildouble: 1
ldouble: 1
# cos_upward
Test "cos_upward (10) == -0.8390715290764524522588639478240648345199":
@ -701,6 +710,9 @@ ldouble: 1
Test "cos_upward (3) == -0.9899924966004454572715727947312613023937":
ildouble: 1
ldouble: 1
Test "cos_upward (4) == -0.6536436208636119146391681830977503814241":
ildouble: 1
ldouble: 1
Test "cos_upward (5) == 0.2836621854632262644666391715135573083344":
ildouble: 1
ldouble: 1
@ -712,9 +724,14 @@ ldouble: 1
Test "cos_upward (7) == 0.7539022543433046381411975217191820122183":
float: 1
ifloat: 1
Test "cos_upward (8) == -0.1455000338086135258688413818311946826093":
ildouble: 1
ldouble: 1
Test "cos_upward (9) == -0.9111302618846769883682947111811653112463":
float: 2
ifloat: 2
ildouble: 1
ldouble: 1
# cosh_downward
Test "cosh_downward (22) == 1792456423.065795780980053377632656584997":
@ -799,6 +816,8 @@ double: 1
float: 5
idouble: 1
ifloat: 5
ildouble: 1
ldouble: 1
Test "Imaginary part of: cpow (2 + 3 i, 4 + 0 i) == -119.0 - 120.0 i":
float: 2
ifloat: 2
@ -1059,8 +1078,8 @@ double: 1
float: 1
idouble: 1
ifloat: 1
ildouble: 1
ldouble: 1
ildouble: 2
ldouble: 2
Test "j0 (0.75) == 0.864242275166648623555731103820923211":
float: 1
ifloat: 1
@ -1077,8 +1096,8 @@ double: 1
float: 1
idouble: 1
ifloat: 1
ildouble: 1
ldouble: 1
ildouble: 2
ldouble: 2
Test "j0 (8.0) == 0.171650807137553906090869407851972001":
double: 2
float: 1
@ -1106,8 +1125,8 @@ double: 1
float: 1
idouble: 1
ifloat: 1
ildouble: 1
ldouble: 1
ildouble: 2
ldouble: 2
Test "jn (0, 0.75) == 0.864242275166648623555731103820923211":
float: 1
ifloat: 1
@ -1124,8 +1143,8 @@ double: 1
float: 1
idouble: 1
ifloat: 1
ildouble: 1
ldouble: 1
ildouble: 2
ldouble: 2
Test "jn (0, 8.0) == 0.171650807137553906090869407851972001":
double: 2
float: 1
@ -1409,14 +1428,25 @@ ldouble: 1
Test "sin_upward (1) == 0.8414709848078965066525023216302989996226":
float: 1
ifloat: 1
Test "sin_upward (10) == -0.5440211108893698134047476618513772816836":
ildouble: 1
ldouble: 1
Test "sin_upward (2) == 0.9092974268256816953960198659117448427023":
float: 2
ifloat: 2
ildouble: 1
ldouble: 1
Test "sin_upward (3) == 0.1411200080598672221007448028081102798469":
ildouble: 1
ldouble: 1
Test "sin_upward (4) == -0.7568024953079282513726390945118290941359":
float: 1
ifloat: 1
ildouble: 1
ldouble: 1
Test "sin_upward (5) == -0.9589242746631384688931544061559939733525":
ildouble: 1
ldouble: 1
Test "sin_upward (6) == -0.2794154981989258728115554466118947596280":
ildouble: 1
ldouble: 1
@ -2162,8 +2192,8 @@ double: 2
float: 2
idouble: 2
ifloat: 2
ildouble: 1
ldouble: 1
ildouble: 2
ldouble: 2
Function: "j1":
double: 1

42
sysdeps/x86_64/fpu/s_cosl.S
View File

@ -1,42 +0,0 @@
/*
* Written by J.T. Conklin <jtc@netbsd.org>.
* Public domain.
*
* Adapted for `long double' by Ulrich Drepper <drepper@cygnus.com>.
* Adapted for x86-64 by Andreas Jaeger <aj@suse.de>.
* Fixed errno handling by Ulrich Drepper <drepper@redhat.com>.
*/
#define __need_Emath
#include <bits/errno.h>
#include <machine/asm.h>
ENTRY(__cosl)
fldt 8(%rsp)
fxam
fstsw %ax
movb $0x45, %dh
andb %ah, %dh
cmpb $0x05, %dh
je 3f
4: fcos
fnstsw %ax
testl $0x400,%eax
jnz 1f
ret
.align ALIGNARG(4)
1: fldpi
fadd %st(0)
fxch %st(1)
2: fprem1
fnstsw %ax
testl $0x400,%eax
jnz 2b
fstp %st(1)
fcos
ret
3: call __errno_location@PLT
movl $EDOM, (%rax)
jmp 4b
END (__cosl)
weak_alias (__cosl, cosl)

59
sysdeps/x86_64/fpu/s_sincosl.S
View File

@ -1,59 +0,0 @@
/* Compute sine and cosine of argument.
Copyright (C) 1997, 2000, 2001, 2005 Free Software Foundation, Inc.
This file is part of the GNU C Library.
Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997.
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, see
<http://www.gnu.org/licenses/>. */
#include <machine/asm.h>
#include "bp-sym.h"
#include "bp-asm.h"
#define PARMS LINKAGE /* no space for saved regs */
#define ANGLE PARMS
#define SINP ANGLE+12
#define COSP SINP+PTR_SIZE
.text
ENTRY (BP_SYM (__sincosl))
ENTER
fldt 8(%rsp)
fsincos
fnstsw %ax
testl $0x400,%eax
jnz 1f
fstpt (%rsi)
fstpt (%rdi)
LEAVE
retq
1: fldpi
fadd %st(0)
fxch %st(1)
2: fprem1
fnstsw %ax
testl $0x400,%eax
jnz 2b
fstp %st(1)
fsincos
fstpt (%rsi)
fstpt (%rdi)
LEAVE
retq
END (BP_SYM (__sincosl))
weak_alias (BP_SYM (__sincosl), BP_SYM (sincosl))

42
sysdeps/x86_64/fpu/s_sinl.S
View File

@ -1,42 +0,0 @@
/*
* Written by J.T. Conklin <jtc@netbsd.org>.
* Public domain.
*
* Adapted for `long double' by Ulrich Drepper <drepper@cygnus.com>.
* Adapted for x86-64 by Andreas Jaeger <aj@suse.de>.
* Fixed errno handling by Ulrich Drepper <drepper@redhat.com>.
*/
#define __need_Emath
#include <bits/errno.h>
#include <machine/asm.h>
ENTRY(__sinl)
fldt 8(%rsp)
fxam
fstsw %ax
movb $0x45, %dh
andb %ah, %dh
cmpb $0x05, %dh
je 3f
4: fsin
fnstsw %ax
testl $0x400,%eax
jnz 1f
ret
.align ALIGNARG(4)
1: fldpi
fadd %st(0)
fxch %st(1)
2: fprem1
fnstsw %ax
testl $0x400,%eax
jnz 2b
fstp %st(1)
fsin
ret
3: call __errno_location@PLT
movl $EDOM, (%rax)
jmp 4b
END (__sinl)
weak_alias (__sinl, sinl)