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math: Use asinhf from CORE-MATH

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The CORE-MATH implementation is correctly rounded (for any rounding mode)
and shows slight better performance to the generic asinhf.

The code was adapted to glibc style and to use the definition of
math_config.h (to handle errno, overflow, and underflow).

Benchtest on x64_64 (Ryzen 9 5900X, gcc 14.2.1), aarch64 (Neoverse-N1,
gcc 13.3.1), and powerpc (POWER10, gcc 13.2.1):

Latency                      master        patched   improvement
x86_64                      64.5128        56.9717        11.69%
x86_64v2                    63.3065        57.2666         9.54%
x86_64v3                    62.8719        51.4170        18.22%
i686                       189.1630        137.635        27.24%
aarch64 (Neoverse)          25.3551        20.5757        18.85%
power10                     17.9712        13.3302        25.82%

reciprocal-throughput        master        patched   improvement
x86_64                      20.0844        15.4731        22.96%
x86_64v2                    19.2919        15.4000        20.17%
x86_64v3                    18.7226        11.9009        36.44%
i686                       103.7670        80.2681        22.65%
aarch64 (Neoverse)          12.5005        8.68969        30.49%
power10                      7.2220        5.03617        30.27%

Signed-off-by: Alexei Sibidanov <sibid@uvic.ca>
Signed-off-by: Paul Zimmermann <Paul.Zimmermann@inria.fr>
Signed-off-by: Adhemerval Zanella <adhemerval.zanella@linaro.org>:
Reviewed-by: DJ Delorie <dj@redhat.com>
This commit is contained in:
Adhemerval Zanella 2024-11-14 11:07:11 -03:00
parent 5fb4b566ef
commit ed608a40e2
28 changed files with 182 additions and 268 deletions
Show stats Download patch file Download diff file Expand all files Collapse all files

4
SHARED-FILES
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@ -306,3 +306,7 @@ sysdeps/ieee754/flt-32/e_asinf.c:
(src/binary32/asin/asinf.c in CORE-MATH)
- The code was adapted to use glibc code style and internal
functions to handle errno, overflow, and underflow.
sysdeps/ieee754/flt-32/s_asinhf.c:
(src/binary32/asinh/asinhf.c in CORE-MATH)
- The code was adapted to use glibc code style and internal
functions to handle errno, overflow, and underflow.

4
sysdeps/aarch64/libm-test-ulps
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@ -95,7 +95,6 @@ ldouble: 2
Function: "asinh":
double: 2
float: 2
ldouble: 4
Function: "asinh_advsimd":
@ -104,7 +103,6 @@ float: 2
Function: "asinh_downward":
double: 3
float: 3
ldouble: 4
Function: "asinh_sve":
@ -113,12 +111,10 @@ float: 2
Function: "asinh_towardzero":
double: 2
float: 2
ldouble: 2
Function: "asinh_upward":
double: 3
float: 3
ldouble: 4
Function: "asinpi":

4
sysdeps/alpha/fpu/libm-test-ulps
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@ -51,22 +51,18 @@ ldouble: 2
Function: "asinh":
double: 2
float: 2
ldouble: 4
Function: "asinh_downward":
double: 3
float: 3
ldouble: 4
Function: "asinh_towardzero":
double: 2
float: 2
ldouble: 2
Function: "asinh_upward":
double: 3
float: 3
ldouble: 4
Function: "atan":

4
sysdeps/arc/fpu/libm-test-ulps
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@ -39,19 +39,15 @@ double: 2
Function: "asinh":
double: 3
float: 2
Function: "asinh_downward":
double: 3
float: 3
Function: "asinh_towardzero":
double: 2
float: 2
Function: "asinh_upward":
double: 3
float: 3
Function: "atan":
double: 1

1
sysdeps/arc/nofpu/libm-test-ulps
View file

@ -12,7 +12,6 @@ double: 1
Function: "asinh":
double: 2
float: 2
Function: "atan":
double: 1

4
sysdeps/arm/libm-test-ulps
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@ -55,19 +55,15 @@ double: 2
Function: "asinh":
double: 2
float: 2
Function: "asinh_downward":
double: 3
float: 3
Function: "asinh_towardzero":
double: 2
float: 2
Function: "asinh_upward":
double: 3
float: 3
Function: "asinpi":
double: 1

4
sysdeps/csky/fpu/libm-test-ulps
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@ -37,19 +37,15 @@ double: 1
Function: "asinh":
double: 2
float: 2
Function: "asinh_downward":
double: 3
float: 3
Function: "asinh_towardzero":
double: 2
float: 2
Function: "asinh_upward":
double: 3
float: 3
Function: "atan":
float: 1

4
sysdeps/csky/nofpu/libm-test-ulps
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@ -37,19 +37,15 @@ double: 1
Function: "asinh":
double: 2
float: 2
Function: "asinh_downward":
double: 3
float: 3
Function: "asinh_towardzero":
double: 2
float: 2
Function: "asinh_upward":
double: 3
float: 3
Function: "atan":
float: 1

4
sysdeps/hppa/fpu/libm-test-ulps
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@ -55,19 +55,15 @@ double: 2
Function: "asinh":
double: 2
float: 2
Function: "asinh_downward":
double: 3
float: 3
Function: "asinh_towardzero":
double: 2
float: 2
Function: "asinh_upward":
double: 3
float: 3
Function: "asinpi":
double: 1

3
sysdeps/i386/fpu/libm-test-ulps
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@ -90,19 +90,16 @@ ldouble: 3
Function: "asinh_downward":
double: 1
float: 1
float128: 4
ldouble: 5
Function: "asinh_towardzero":
double: 1
float: 1
float128: 2
ldouble: 4
Function: "asinh_upward":
double: 1
float: 1
float128: 4
ldouble: 5

139
sysdeps/i386/fpu/s_asinhf.S
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@ -1,139 +0,0 @@
/* ix87 specific implementation of arcsinh.
Copyright (C) 1996-2024 Free Software Foundation, Inc.
This file is part of the GNU C Library.
The GNU C Library is free software; you can redistribute it and/or
modify it under the terms of the GNU Lesser General Public
License as published by the Free Software Foundation; either
version 2.1 of the License, or (at your option) any later version.
The GNU C Library is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
Lesser General Public License for more details.
You should have received a copy of the GNU Lesser General Public
License along with the GNU C Library; if not, see
<https://www.gnu.org/licenses/>. */
#include <machine/asm.h>
#include <libm-alias-float.h>
.section .rodata
.align ALIGNARG(4)
.type huge,@object
huge: .double 1e+36
ASM_SIZE_DIRECTIVE(huge)
.type one,@object
one: .double 1.0
ASM_SIZE_DIRECTIVE(one)
.type limit,@object
limit: .double 0.29
ASM_SIZE_DIRECTIVE(limit)
#ifdef PIC
#define MO(op) op##@GOTOFF(%edx)
#else
#define MO(op) op
#endif
.text
ENTRY(__asinhf)
movl 4(%esp), %ecx
movl $0x7fffffff, %eax
andl %ecx, %eax
andl $0x80000000, %ecx
movl %eax, %edx
orl $0x807fffff, %edx
incl %edx
jz 7f // x in ±Inf or NaN
xorl %ecx, 4(%esp)
flds 4(%esp) // |x|
cmpl $0x38000000, %eax
jb 2f // |x| < 2^-14
fldln2 // log(2) : |x|
cmpl $0x47000000, %eax
fxch // |x| : log(2)
ja 3f // |x| > 2^14
#ifdef PIC
LOAD_PIC_REG (dx)
#endif
cmpl $0x40000000, %eax
ja 5f // |x| > 2
// 2^-14 <= |x| <= 2 => y = sign(x)*log1p(|x|+|x|^2/(1+sqrt(1+|x|^2)))
fld %st // |x| : |x| : log(2)
fmul %st(1) // |x|^2 : |x| : log(2)
fld %st // |x|^2 : |x|^2 : |x| : log(2)
faddl MO(one) // 1+|x|^2 : |x|^2 : |x| : log(2)
fsqrt // sqrt(1+|x|^2) : |x|^2 : |x| : log(2)
faddl MO(one) // 1+sqrt(1+|x|^2) : |x|^2 : |x| : log(2)
fdivrp // |x|^2/(1+sqrt(1+|x|^2)) : |x| : log(2)
faddp // |x|+|x|^2/(1+sqrt(1+|x|^2)) : log(2)
fcoml MO(limit)
fnstsw
sahf
ja 6f
fyl2xp1
jecxz 4f
fchs
4: ret
7: flds 4(%esp)
ret
6: faddl MO(one)
fyl2x
jecxz 4f
fchs
4: ret
// |x| < 2^-14 => y = x (inexact iff |x| != 0.0)
.align ALIGNARG(4)
2:
#ifdef PIC
LOAD_PIC_REG (dx)
#endif
jecxz 4f
fchs // x
4: fld %st // x : x
faddl MO(huge) // huge+x : x
fstp %st(0) // x
cmpl $0x00800000, %eax
jae 8f
subl $4, %esp
cfi_adjust_cfa_offset (4)
fld %st(0)
fmul %st(0)
fstps (%esp)
addl $4, %esp
cfi_adjust_cfa_offset (-4)
8: ret
// |x| > 2^14 => y = sign(x) * (log(|x|) + log(2))
.align ALIGNARG(4)
3: fyl2x // log(|x|)
fldln2 // log(2) : log(|x|)
faddp // log(|x|)+log(2)
jecxz 4f
fchs
4: ret
// |x| > 2 => y = sign(x) * log(2*|x| + 1/(|x|+sqrt(x*x+1)))
.align ALIGNARG(4)
5: fld %st // |x| : |x| : log(2)
fadd %st, %st(1) // |x| : 2*|x| : log(2)
fld %st // |x| : |x| : 2*|x| : log(2)
fmul %st(1) // |x|^2 : |x| : 2*|x| : log(2)
faddl MO(one) // 1+|x|^2 : |x| : 2*|x| : log(2)
fsqrt // sqrt(1+|x|^2) : |x| : 2*|x| : log(2)
faddp // |x|+sqrt(1+|x|^2) : 2*|x| : log(2)
fdivrl MO(one) // 1/(|x|+sqrt(1+|x|^2)) : 2*|x| : log(2)
faddp // 2*|x|+1/(|x|+sqrt(1+|x|^2)) : log(2)
fyl2x // log(2*|x|+1/(|x|+sqrt(1+|x|^2)))
jecxz 4f
fchs
4: ret
END(__asinhf)
libm_alias_float (__asinh, asinh)

3
sysdeps/i386/i686/fpu/multiarch/libm-test-ulps
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@ -90,19 +90,16 @@ ldouble: 3
Function: "asinh_downward":
double: 1
float: 1
float128: 4
ldouble: 5
Function: "asinh_towardzero":
double: 1
float: 1
float128: 2
ldouble: 4
Function: "asinh_upward":
double: 1
float: 1
float128: 4
ldouble: 5

217
sysdeps/ieee754/flt-32/s_asinhf.c
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@ -1,51 +1,190 @@
/* s_asinhf.c -- float version of s_asinh.c.
*/
/* Correctly-rounded inverse hyperbolic sine function for binary32 format.
/*
* ====================================================
* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
*
* Developed at SunPro, a Sun Microsystems, Inc. business.
* Permission to use, copy, modify, and distribute this
* software is freely granted, provided that this notice
* is preserved.
* ====================================================
*/
Copyright (c) 2023-2024 Alexei Sibidanov.
The original version of this file was copied from the CORE-MATH
project (file src/binary32/asinh/asinhf.c, revision e8774b3).
Permission is hereby granted, free of charge, to any person obtaining a copy
of this software and associated documentation files (the "Software"), to deal
in the Software without restriction, including without limitation the rights
to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
copies of the Software, and to permit persons to whom the Software is
furnished to do so, subject to the following conditions:
The above copyright notice and this permission notice shall be included in all
copies or substantial portions of the Software.
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
SOFTWARE.
*/
#include <float.h>
#include <math.h>
#include <math_private.h>
#include <math-underflow.h>
#include <stdint.h>
#include <libm-alias-float.h>
static const float
one = 1.0000000000e+00, /* 0x3F800000 */
ln2 = 6.9314718246e-01, /* 0x3f317218 */
huge= 1.0000000000e+30;
#include "math_config.h"
float
__asinhf(float x)
__asinhf (float x)
{
float w;
int32_t hx,ix;
GET_FLOAT_WORD(hx,x);
ix = hx&0x7fffffff;
if(__builtin_expect(ix< 0x38000000, 0)) { /* |x|<2**-14 */
math_check_force_underflow (x);
if(huge+x>one) return x; /* return x inexact except 0 */
static const double ix[] =
{
0x1p+0, 0x1.fc07f01fcp-1, 0x1.f81f81f82p-1, 0x1.f44659e4ap-1,
0x1.f07c1f07cp-1, 0x1.ecc07b302p-1, 0x1.e9131abfp-1, 0x1.e573ac902p-1,
0x1.e1e1e1e1ep-1, 0x1.de5d6e3f8p-1, 0x1.dae6076bap-1, 0x1.d77b654b8p-1,
0x1.d41d41d42p-1, 0x1.d0cb58f6ep-1, 0x1.cd8568904p-1, 0x1.ca4b3055ep-1,
0x1.c71c71c72p-1, 0x1.c3f8f01c4p-1, 0x1.c0e070382p-1, 0x1.bdd2b8994p-1,
0x1.bacf914c2p-1, 0x1.b7d6c3ddap-1, 0x1.b4e81b4e8p-1, 0x1.b2036406cp-1,
0x1.af286bca2p-1, 0x1.ac5701ac6p-1, 0x1.a98ef606ap-1, 0x1.a6d01a6dp-1,
0x1.a41a41a42p-1, 0x1.a16d3f97ap-1, 0x1.9ec8e951p-1, 0x1.9c2d14ee4p-1,
0x1.99999999ap-1, 0x1.970e4f80cp-1, 0x1.948b0fcd6p-1, 0x1.920fb49dp-1,
0x1.8f9c18f9cp-1, 0x1.8d3018d3p-1, 0x1.8acb90f6cp-1, 0x1.886e5f0acp-1,
0x1.861861862p-1, 0x1.83c977ab2p-1, 0x1.818181818p-1, 0x1.7f405fd02p-1,
0x1.7d05f417ep-1, 0x1.7ad2208ep-1, 0x1.78a4c8178p-1, 0x1.767dce434p-1,
0x1.745d1745ep-1, 0x1.724287f46p-1, 0x1.702e05c0cp-1, 0x1.6e1f76b44p-1,
0x1.6c16c16c2p-1, 0x1.6a13cd154p-1, 0x1.681681682p-1, 0x1.661ec6a52p-1,
0x1.642c8590cp-1, 0x1.623fa7702p-1, 0x1.605816058p-1, 0x1.5e75bb8dp-1,
0x1.5c9882b94p-1, 0x1.5ac056b02p-1, 0x1.58ed23082p-1, 0x1.571ed3c5p-1,
0x1.555555556p-1, 0x1.5390948f4p-1, 0x1.51d07eae2p-1, 0x1.501501502p-1,
0x1.4e5e0a73p-1, 0x1.4cab88726p-1, 0x1.4afd6a052p-1, 0x1.49539e3b2p-1,
0x1.47ae147aep-1, 0x1.460cbc7f6p-1, 0x1.446f86562p-1, 0x1.42d6625d6p-1,
0x1.414141414p-1, 0x1.3fb013fbp-1, 0x1.3e22cbce4p-1, 0x1.3c995a47cp-1,
0x1.3b13b13b2p-1, 0x1.3991c2c18p-1, 0x1.381381382p-1, 0x1.3698df3dep-1,
0x1.3521cfb2cp-1, 0x1.33ae45b58p-1, 0x1.323e34a2cp-1, 0x1.30d19013p-1,
0x1.2f684bda2p-1, 0x1.2e025c04cp-1, 0x1.2c9fb4d82p-1, 0x1.2b404ad02p-1,
0x1.29e4129e4p-1, 0x1.288b01288p-1, 0x1.27350b882p-1, 0x1.25e22708p-1,
0x1.24924924ap-1, 0x1.23456789ap-1, 0x1.21fb78122p-1, 0x1.20b470c68p-1,
0x1.1f7047dc2p-1, 0x1.1e2ef3b4p-1, 0x1.1cf06ada2p-1, 0x1.1bb4a4046p-1,
0x1.1a7b9611ap-1, 0x1.19453808cp-1, 0x1.181181182p-1, 0x1.16e068942p-1,
0x1.15b1e5f76p-1, 0x1.1485f0e0ap-1, 0x1.135c81136p-1, 0x1.12358e75ep-1,
0x1.111111112p-1, 0x1.0fef010fep-1, 0x1.0ecf56be6p-1, 0x1.0db20a89p-1,
0x1.0c9714fbcp-1, 0x1.0b7e6ec26p-1, 0x1.0a6810a68p-1, 0x1.0953f3902p-1,
0x1.084210842p-1, 0x1.073260a48p-1, 0x1.0624dd2f2p-1, 0x1.05197f7d8p-1,
0x1.041041042p-1, 0x1.03091b52p-1, 0x1.020408102p-1, 0x1.01010101p-1,
0x1p-1
};
static const double lix[] =
{
0x0p+0, 0x1.fe02a6b146789p-8, 0x1.fc0a8b0fa03e4p-7,
0x1.7b91b07de311bp-6, 0x1.f829b0e7c33p-6, 0x1.39e87b9fd7d6p-5,
0x1.77458f63edcfcp-5, 0x1.b42dd7117b1bfp-5, 0x1.f0a30c01362a6p-5,
0x1.16536eea7fae1p-4, 0x1.341d7961791d1p-4, 0x1.51b073f07983fp-4,
0x1.6f0d28ae3eb4cp-4, 0x1.8c345d6383b21p-4, 0x1.a926d3a475563p-4,
0x1.c5e548f63a743p-4, 0x1.e27076e28f2e6p-4, 0x1.fec9131dbaabbp-4,
0x1.0d77e7ccf6e59p-3, 0x1.1b72ad52f87ap-3, 0x1.29552f81eb523p-3,
0x1.371fc201f7f74p-3, 0x1.44d2b6ccbfd1ep-3, 0x1.526e5e3a41438p-3,
0x1.5ff3070a613d4p-3, 0x1.6d60fe717221dp-3, 0x1.7ab890212b909p-3,
0x1.87fa065214911p-3, 0x1.9525a9cf296b4p-3, 0x1.a23bc1fe42563p-3,
0x1.af3c94e81bff3p-3, 0x1.bc2867430acd6p-3, 0x1.c8ff7c7989a22p-3,
0x1.d5c216b535b91p-3, 0x1.e27076e2f92e6p-3, 0x1.ef0adcbe0d936p-3,
0x1.fb9186d5ebe2bp-3, 0x1.0402594b51041p-2, 0x1.0a324e27370e3p-2,
0x1.1058bf9ad7ad5p-2, 0x1.1675cabaa660ep-2, 0x1.1c898c16b91fbp-2,
0x1.22941fbcfb966p-2, 0x1.2895a13dd2ea3p-2, 0x1.2e8e2bade7d31p-2,
0x1.347dd9a9afd55p-2, 0x1.3a64c556b05eap-2, 0x1.40430868877e4p-2,
0x1.4618bc219dec2p-2, 0x1.4be5f9579e0a1p-2, 0x1.51aad872c982dp-2,
0x1.5767717432a6cp-2, 0x1.5d1bdbf5669cap-2, 0x1.62c82f2b83795p-2,
0x1.686c81e9964afp-2, 0x1.6e08eaa2929e4p-2, 0x1.739d7f6b95007p-2,
0x1.792a55fdb7fa2p-2, 0x1.7eaf83b82efc3p-2, 0x1.842d1da1ecb17p-2,
0x1.89a3386be825bp-2, 0x1.8f11e87347ac7p-2, 0x1.947941c1f26fbp-2,
0x1.99d958119208bp-2, 0x1.9f323ecbd984cp-2, 0x1.a484090e5eb0ap-2,
0x1.a9cec9a9cf84ap-2, 0x1.af1293245606bp-2, 0x1.b44f77bc98f63p-2,
0x1.b9858969218fbp-2, 0x1.beb4d9da96b7cp-2, 0x1.c3dd7a7d0354dp-2,
0x1.c8ff7c79ada22p-2, 0x1.ce1af0b855bebp-2, 0x1.d32fe7e039bd5p-2,
0x1.d83e72587673ep-2, 0x1.dd46a04c204a1p-2, 0x1.e24881a7cac26p-2,
0x1.e744261d8a788p-2, 0x1.ec399d2457ccp-2, 0x1.f128f5fac86edp-2,
0x1.f6123fa71c8acp-2, 0x1.faf588f76631fp-2, 0x1.ffd2e08580c98p-2,
0x1.02552a5a4f0ffp-1, 0x1.04bdf9da8b6d2p-1, 0x1.0723e5c1b4f4p-1,
0x1.0986f4f589521p-1, 0x1.0be72e423ca83p-1, 0x1.0e44985d0f48cp-1,
0x1.109f39e2be497p-1, 0x1.12f71959283bcp-1, 0x1.154c3d2f4f5eap-1,
0x1.179eabbd9c9a1p-1, 0x1.19ee6b466516fp-1, 0x1.1c3b81f723c25p-1,
0x1.1e85f5e6ec0dp-1, 0x1.20cdcd193f76ep-1, 0x1.23130d7beb743p-1,
0x1.2555bce9887cbp-1, 0x1.2795e1288211bp-1, 0x1.29d37fec2308bp-1,
0x1.2c0e9ed45768cp-1, 0x1.2e47436e5ae68p-1, 0x1.307d7334ff0bep-1,
0x1.32b1339134571p-1, 0x1.34e289d9b39d3p-1, 0x1.37117b5481bb6p-1,
0x1.393e0d3549a1ap-1, 0x1.3b6844a017823p-1, 0x1.3d9026a70eefbp-1,
0x1.3fb5b84cfeb42p-1, 0x1.41d8fe844b2aep-1, 0x1.43f9fe2fb9267p-1,
0x1.4618bc21d86c2p-1, 0x1.48353d1e928dfp-1, 0x1.4a4f85db1debbp-1,
0x1.4c679afcc323ap-1, 0x1.4e7d811b77bb1p-1, 0x1.50913cbff8c6bp-1,
0x1.52a2d265be5abp-1, 0x1.54b2467998498p-1, 0x1.56bf9d5b34b99p-1,
0x1.58cadb5cbe989p-1, 0x1.5ad404c33af2dp-1, 0x1.5cdb1dc6ad765p-1,
0x1.5ee02a9241e75p-1, 0x1.60e32f447a8d9p-1, 0x1.62e42fefa39efp-1
};
uint32_t t = asuint (x);
t &= ~0u >> 1;
double xs = x;
if (__glibc_unlikely (t <= 0x3e815667u))
{
if (__glibc_unlikely (t <= 0x39ddb3d7u))
{
if (__glibc_unlikely (t == 0))
return x;
return fmaf (x, -0x1p-25f, x);
}
if(__builtin_expect(ix>0x47000000, 0)) { /* |x| > 2**14 */
if(ix>=0x7f800000) return x+x; /* x is inf or NaN */
w = __ieee754_logf(fabsf(x))+ln2;
} else {
float xa = fabsf(x);
if (ix>0x40000000) { /* 2**14 > |x| > 2.0 */
w = __ieee754_logf(2.0f*xa+one/(sqrtf(xa*xa+one)+xa));
} else { /* 2.0 > |x| > 2**-14 */
float t = xa*xa;
w =__log1pf(xa+t/(one+sqrtf(one+t)));
static const double c[] =
{
0x1.5555555555553p-3, -0x1.3333333330e9dp-4, 0x1.6db6db67cb37ap-5,
-0x1.f1c71699375dp-6, 0x1.6e8a374c39ff9p-6, -0x1.1c1e98f9d01e1p-6,
0x1.c277e96d84026p-7, -0x1.329ff5faf02abp-7
};
double x2 = xs * xs;
double x4 = x2 * x2;
double x8 = x4 * x4;
double f = x2 * (((c[0] + x2 * c[1]) + x4 * (c[2] + x2 * c[3]))
+ x8 * ((c[4] + x2 * c[5]) + x4 * (c[6] + x2 * c[7])));
double r = xs - xs * f;
return r;
}
else
{
if (__glibc_unlikely (t >= 0x7f800000u))
return x + x; /* +-inf or nan */
double xd = fabs (xs);
double x2 = xd * xd;
uint64_t tp = asuint64 (xd + sqrt (x2 + 1));
uint64_t m = tp & (~UINT64_C(0) >> 12);
int j = (m + (UINT64_C(1) << (52 - 8))) >> (52 - 7);
int e = (tp >> 52) - 0x3ff;
double w = asdouble (m | UINT64_C(0x3ff) << 52);
double z = w * ix[j] - 1.0;
static const double c[] =
{
0x1.0000000066947p+0, -0x1.00007f053d8cbp-1, 0x1.555280111d914p-2
};
double z2 = z * z;
double r = ((lix[128] * e + lix[j]) + z * c[0]) + z2 * (c[1] + z * c[2]);
if (__glibc_unlikely (((asuint64 (r) + 259000) & INT64_C(0xfffffff))
< 260000)) /* accurate path */
{
static const double cp[] =
{
0x1p+0, -0x1p-1,
0x1.55555555030bcp-2, -0x1.ffffffff2b4e5p-3,
0x1.999b5076a42f2p-3, -0x1.55570c45a647dp-3
};
z2 = z * z;
double c0 = cp[0] + z * cp[1];
double c2 = cp[2] + z * cp[3];
double c4 = cp[4] + z * cp[5];
c0 += z2 * (c2 + z2 * c4);
const double ln2l = 0x1.7f7d1cf79abcap-20;
const double ln2h = 0x1.62e4p-1;
double Lh = ln2h * e;
double Ll = ln2l * e;
r = fma (z, c0, Ll + lix[j]) + Lh;
if (__glibc_unlikely ((asuint64 (r) & INT64_C(0xfffffff)) == 0))
{
double h = fma (z, c0, Ll + lix[j]) + (Lh - r);
r = r + 64 * h;
}
}
return copysignf(w, x);
return copysign (r, xs);
}
}
libm_alias_float (__asinh, asinh)

4
sysdeps/loongarch/lp64/libm-test-ulps
View file

@ -51,22 +51,18 @@ ldouble: 2
Function: "asinh":
double: 2
float: 2
ldouble: 4
Function: "asinh_downward":
double: 3
float: 3
ldouble: 4
Function: "asinh_towardzero":
double: 2
float: 2
ldouble: 2
Function: "asinh_upward":
double: 3
float: 3
ldouble: 4
Function: "atan":

4
sysdeps/m68k/m680x0/fpu/libm-test-ulps
View file

@ -34,22 +34,18 @@ float: 1
Function: "asinh":
double: 1
float: 1
ldouble: 1
Function: "asinh_downward":
double: 2
float: 2
ldouble: 2
Function: "asinh_towardzero":
double: 2
float: 2
ldouble: 2
Function: "asinh_upward":
double: 2
float: 2
ldouble: 3
Function: "atan2":

1
sysdeps/microblaze/libm-test-ulps
View file

@ -10,7 +10,6 @@ Function: "asin":
Function: "asinh":
double: 1
float: 1
Function: "atan":
float: 1

4
sysdeps/mips/mips32/libm-test-ulps
View file

@ -39,19 +39,15 @@ double: 2
Function: "asinh":
double: 2
float: 2
Function: "asinh_downward":
double: 3
float: 3
Function: "asinh_towardzero":
double: 2
float: 2
Function: "asinh_upward":
double: 3
float: 3
Function: "atan":
double: 1

4
sysdeps/mips/mips64/libm-test-ulps
View file

@ -51,22 +51,18 @@ ldouble: 2
Function: "asinh":
double: 2
float: 2
ldouble: 4
Function: "asinh_downward":
double: 3
float: 3
ldouble: 4
Function: "asinh_towardzero":
double: 2
float: 2
ldouble: 2
Function: "asinh_upward":
double: 3
float: 3
ldouble: 4
Function: "atan":

4
sysdeps/or1k/fpu/libm-test-ulps
View file

@ -39,19 +39,15 @@ double: 2
Function: "asinh":
double: 2
float: 2
Function: "asinh_downward":
double: 3
float: 3
Function: "asinh_towardzero":
double: 2
float: 2
Function: "asinh_upward":
double: 3
float: 3
Function: "atan":
double: 1

4
sysdeps/or1k/nofpu/libm-test-ulps
View file

@ -43,19 +43,15 @@ double: 1
Function: "asinh":
double: 2
float: 2
Function: "asinh_downward":
double: 3
float: 3
Function: "asinh_towardzero":
double: 2
float: 2
Function: "asinh_upward":
double: 3
float: 3
Function: "asinpi":
double: 1

4
sysdeps/powerpc/fpu/libm-test-ulps
View file

@ -91,25 +91,21 @@ ldouble: 2
Function: "asinh":
double: 2
float: 2
float128: 4
ldouble: 2
Function: "asinh_downward":
double: 3
float: 3
float128: 4
ldouble: 5
Function: "asinh_towardzero":
double: 2
float: 2
float128: 2
ldouble: 5
Function: "asinh_upward":
double: 3
float: 3
float128: 4
ldouble: 7

4
sysdeps/powerpc/nofpu/libm-test-ulps
View file

@ -55,22 +55,18 @@ ldouble: 2
Function: "asinh":
double: 2
float: 2
ldouble: 2
Function: "asinh_downward":
double: 3
float: 3
ldouble: 5
Function: "asinh_towardzero":
double: 2
float: 2
ldouble: 5
Function: "asinh_upward":
double: 3
float: 3
ldouble: 7
Function: "atan":

4
sysdeps/riscv/nofpu/libm-test-ulps
View file

@ -51,22 +51,18 @@ ldouble: 2
Function: "asinh":
double: 2
float: 2
ldouble: 4
Function: "asinh_downward":
double: 3
float: 3
ldouble: 4
Function: "asinh_towardzero":
double: 2
float: 2
ldouble: 2
Function: "asinh_upward":
double: 3
float: 3
ldouble: 4
Function: "atan":

4
sysdeps/riscv/rvd/libm-test-ulps
View file

@ -51,22 +51,18 @@ ldouble: 2
Function: "asinh":
double: 2
float: 2
ldouble: 4
Function: "asinh_downward":
double: 3
float: 3
ldouble: 4
Function: "asinh_towardzero":
double: 2
float: 2
ldouble: 2
Function: "asinh_upward":
double: 3
float: 3
ldouble: 4
Function: "atan":

4
sysdeps/s390/fpu/libm-test-ulps
View file

@ -51,22 +51,18 @@ ldouble: 2
Function: "asinh":
double: 2
float: 2
ldouble: 4
Function: "asinh_downward":
double: 3
float: 3
ldouble: 4
Function: "asinh_towardzero":
double: 2
float: 2
ldouble: 2
Function: "asinh_upward":
double: 3
float: 3
ldouble: 4
Function: "atan":

2
sysdeps/sh/libm-test-ulps
View file

@ -19,11 +19,9 @@ double: 1
Function: "asinh":
double: 2
float: 2
Function: "asinh_towardzero":
double: 2
float: 2
Function: "atan":
float: 1

4
sysdeps/sparc/fpu/libm-test-ulps
View file

@ -51,22 +51,18 @@ ldouble: 2
Function: "asinh":
double: 2
float: 2
ldouble: 4
Function: "asinh_downward":
double: 3
float: 3
ldouble: 4
Function: "asinh_towardzero":
double: 2
float: 2
ldouble: 2
Function: "asinh_upward":
double: 3
float: 3
ldouble: 4
Function: "atan":

4
sysdeps/x86_64/fpu/libm-test-ulps
View file

@ -147,25 +147,21 @@ float: 1
Function: "asinh":
double: 2
float: 2
float128: 4
ldouble: 3
Function: "asinh_downward":
double: 3
float: 3
float128: 4
ldouble: 5
Function: "asinh_towardzero":
double: 2
float: 2
float128: 2
ldouble: 4
Function: "asinh_upward":
double: 3
float: 3
float128: 4
ldouble: 5