math: Consolidate acospif and asinpif internal tables

The libm size improvement built with gcc-14, "--enable-stack-protector=strong
--enable-bind-now=yes --enable-fortify-source=2":

Before:

   text    data     bss     dec     hex filename
 583444     844      12  584300   8ea6c aarch64-linux-gnu/math/libm.so
 976349    1076      12  977437   eea1d x86_64-linux-gnu/math/libm.so
1204738    5608     368 1210714  12795a powerpc64le-linux-gnu/math/libm.so

After:

 582292     844      12  583148   8e5ec aarch64-linux-gnu/math/libm.so
 975133    1076      12  976221   ee55d x86_64-linux-gnu/math/libm.so
1203586    5608     368 1209562  1274da powerpc64le-linux-gnu/math/libm.so
Reviewed-by: Andreas K. Huettel <dilfridge@gentoo.org>
This commit is contained in:
Adhemerval Zanella 2025-02-13 16:35:44 -03:00
parent 246e52574d
commit 1faccf388a
5 changed files with 120 additions and 104 deletions

View File

@ -369,6 +369,7 @@ type-float-routines := \
e_sincoshf_data \
math_errf \
s_asincoshf_data \
s_asincospif_data \
s_sincosf_data \
s_sincospif_data \
# type-float-routines

View File

@ -29,6 +29,7 @@ SOFTWARE.
#include <stdint.h>
#include <libm-alias-float.h>
#include "math_config.h"
#include "s_asincospif_data.h"
float
__acospif (float x)
@ -52,57 +53,7 @@ __acospif (float x)
int i = 0;
if (__glibc_likely (s < 32))
i = ((t & (~0u >> 9)) | 1 << 23) >> s;
static const double ch[][8] = {
{ 0x1.45f306dc9c882p-2, 0x1.b2995e7b7dc2fp-5, 0x1.8723a1cf50c7ep-6,
0x1.d1a4591d16a29p-7, 0x1.3ce3aa68ddaeep-7, 0x1.d3182ab0cc1bfp-8,
0x1.62b379a8b88e3p-8, 0x1.6811411fcfec2p-8 },
{ 0x1.ffffffffd3cd9p-2, -0x1.17cc1b3355fd5p-4, 0x1.d067a1e8d5a99p-6,
-0x1.08e16fb09314ap-6, 0x1.5eed43d42dcb2p-7, -0x1.f58baca7acc71p-8,
0x1.5dab64e2dcf15p-8, -0x1.59270e30797acp-9 },
{ 0x1.fffffff7c4622p-2, -0x1.17cc149ded3a2p-4, 0x1.d0654d4cb2c1ap-6,
-0x1.08c3ba713d33ap-6, 0x1.5d2053481079cp-7, -0x1.e485ebc545e7ep-8,
0x1.303baca167dddp-8, -0x1.dee8d16d06b38p-10 },
{ 0x1.ffffffa749848p-2, -0x1.17cbe7155935p-4, 0x1.d05a312269adfp-6,
-0x1.0862b3ee617d7p-6, 0x1.5920708db2a73p-7, -0x1.cb0463b3862c3p-8,
0x1.02b82478f95d7p-8, -0x1.52a7b8579e729p-10 },
{ 0x1.fffffe1f92bb5p-2, -0x1.17cb3e74c64e3p-4, 0x1.d03af67311cbfp-6,
-0x1.079441cbfc7ap-6, 0x1.52b4287805a61p-7, -0x1.ac3286d604a98p-8,
0x1.b2f1210d9701bp-9, -0x1.e740ddc25afd6p-11 },
{ 0x1.fffff92beb6e2p-2, -0x1.17c986fe9518bp-4, 0x1.cff98167c9a5ep-6,
-0x1.0638b591eae52p-6, 0x1.4a0803828959ep-7, -0x1.8adeca229f11dp-8,
0x1.6b9a7ba05dfcep-9, -0x1.640521a43b2dp-11 },
{ 0x1.ffffeccee5bfcp-2, -0x1.17c5f1753f5eap-4, 0x1.cf874e4fe258fp-6,
-0x1.043e6cf77b256p-6, 0x1.3f7db42227d92p-7, -0x1.691a6fa2a2882p-8,
0x1.2f6543162bc61p-9, -0x1.07d5da05822b6p-11 },
{ 0x1.ffffd2f64431dp-2, -0x1.17bf8208c10c1p-4, 0x1.ced7487cdb124p-6,
-0x1.01a0d30932905p-6, 0x1.3388f99b254dap-7, -0x1.4844e245c65bdp-8,
0x1.fa777150197c6p-10, -0x1.8c1ecf16a05c8p-12 },
{ 0x1.ffffa36d1712ep-2, -0x1.17b523971bd4ep-4, 0x1.cddee26de2deep-6,
-0x1.fccb00abaaabcp-7, 0x1.269afc3622342p-7, -0x1.2933152686752p-8,
0x1.a76d4956cc9a3p-10, -0x1.2ce7d6dc651cep-12 },
{ 0x1.ffff5402ab3a1p-2, -0x1.17a5ba85da77ap-4, 0x1.cc96894e05c02p-6,
-0x1.f532143cb832ep-7, 0x1.19180b660ff09p-7, -0x1.0c57417a78b3cp-8,
0x1.62e26cbd7bb1ep-10, -0x1.ce28d33fe1df3p-13 },
{ 0x1.fffed8d639751p-2, -0x1.1790349f3ae76p-4, 0x1.caf9a4fd1b398p-6,
-0x1.ec986b111342ep-7, 0x1.0b53c3ad4baa4p-7, -0x1.e3c2282eeace4p-9,
0x1.2a55369f55bbep-10, -0x1.667fe48c396e8p-13 },
{ 0x1.fffe24b714161p-2, -0x1.177394fbcb719p-4, 0x1.c90652d920ebdp-6,
-0x1.e3239197bddf1p-7, 0x1.fb2188525b025p-8, -0x1.b3aadd451afc7p-9,
0x1.f74020f31fdabp-11, -0x1.18b0cb246768dp-13 },
{ 0x1.fffd298bec9e2p-2, -0x1.174efbfd34648p-4, 0x1.c6bcfe48ea92bp-6,
-0x1.d8f9f2a16157cp-7, 0x1.e0044f56c8864p-8, -0x1.883e2347fe76cp-9,
0x1.a9f0e3c1b7af5p-11, -0x1.bb5acc0e60825p-14 },
{ 0x1.fffbd8b784c4dp-2, -0x1.1721abdd3722ep-4, 0x1.c41fee756d4bp-6,
-0x1.ce40bccf8065fp-7, 0x1.c59b684b70ef9p-8, -0x1.6133d027996b3p-9,
0x1.69cad01106397p-11, -0x1.60f8e45494156p-14 },
{ 0x1.fffa23749cf88p-2, -0x1.16eb0a8285c06p-4, 0x1.c132d762e1b0dp-6,
-0x1.c31a959398f4ep-7, 0x1.ac1c5b46bc8ap-8, -0x1.3e34f1abe51dcp-9,
0x1.346738737c0b9p-11, -0x1.1b227a3f5c75p-14 },
{ 0x1.fff7fb25bb407p-2, -0x1.16aaa14d7564p-4, 0x1.bdfa75fca5ff2p-6,
-0x1.b7a6e260d079cp-7, 0x1.93ab06911033cp-8, -0x1.1ee5560967fd5p-9,
0x1.07d31060838bfp-11, -0x1.c96f33a283115p-15 },
};
const double *c = ch[i];
const double *c = CH[i];
double z2 = z * z;
double z4 = z2 * z2;
if (__glibc_unlikely (i == 0))

View File

@ -0,0 +1,81 @@
/* Common data for asinpif/acospif implementations.
Copyright (c) 2022-2025 Alexei Sibidanov.
The original version of this file was copied from the CORE-MATH
project (file src/binary32/asinpi/asinpif.c, revision 6ee58266).
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 "s_asincospif_data.h"
const double __asincospif_ch[][8] =
{
{ 0x1.45f306dc9c882p-2, 0x1.b2995e7b7dc2fp-5, 0x1.8723a1cf50c7ep-6,
0x1.d1a4591d16a29p-7, 0x1.3ce3aa68ddaeep-7, 0x1.d3182ab0cc1bfp-8,
0x1.62b379a8b88e3p-8, 0x1.6811411fcfec2p-8 },
{ 0x1.ffffffffd3cdap-2, -0x1.17cc1b3355fddp-4, 0x1.d067a1e8d5a99p-6,
-0x1.08e16fb09314ap-6, 0x1.5eed43d42dcb2p-7, -0x1.f58baca7acc71p-8,
0x1.5dab64e2dcf15p-8, -0x1.59270e30797acp-9 },
{ 0x1.fffffff7c4617p-2, -0x1.17cc149ded3a2p-4, 0x1.d0654d4cb2c1ap-6,
-0x1.08c3ba713d33ap-6, 0x1.5d2053481079cp-7, -0x1.e485ebc545e7ep-8,
0x1.303baca167dddp-8, -0x1.dee8d16d06b38p-10 },
{ 0x1.ffffffa749848p-2, -0x1.17cbe7155935p-4, 0x1.d05a312269adfp-6,
-0x1.0862b3ee617d7p-6, 0x1.5920708db2a73p-7, -0x1.cb0463b3862c3p-8,
0x1.02b82478f95d7p-8, -0x1.52a7b8579e729p-10 },
{ 0x1.fffffe1f92bb5p-2, -0x1.17cb3e74c64e3p-4, 0x1.d03af67311cbfp-6,
-0x1.079441cbfc7ap-6, 0x1.52b4287805a61p-7, -0x1.ac3286d604a98p-8,
0x1.b2f1210d9701bp-9, -0x1.e740ddc25afd6p-11 },
{ 0x1.fffff92beb6e2p-2, -0x1.17c986fe9518bp-4, 0x1.cff98167c9a5ep-6,
-0x1.0638b591eae52p-6, 0x1.4a0803828959ep-7, -0x1.8adeca229f11dp-8,
0x1.6b9a7ba05dfcep-9, -0x1.640521a43b2dp-11 },
{ 0x1.ffffeccee5bfcp-2, -0x1.17c5f1753f5eap-4, 0x1.cf874e4fe258fp-6,
-0x1.043e6cf77b256p-6, 0x1.3f7db42227d92p-7, -0x1.691a6fa2a2882p-8,
0x1.2f6543162bc61p-9, -0x1.07d5da05822b6p-11 },
{ 0x1.ffffd2f64431dp-2, -0x1.17bf8208c10c1p-4, 0x1.ced7487cdb124p-6,
-0x1.01a0d30932905p-6, 0x1.3388f99b254dap-7, -0x1.4844e245c65bdp-8,
0x1.fa777150197c6p-10, -0x1.8c1ecf16a05c8p-12 },
{ 0x1.ffffa36d1712ep-2, -0x1.17b523971bd4ep-4, 0x1.cddee26de2deep-6,
-0x1.fccb00abaaabcp-7, 0x1.269afc3622342p-7, -0x1.2933152686752p-8,
0x1.a76d4956cc9a3p-10, -0x1.2ce7d6dc651cep-12 },
{ 0x1.ffff5402ab3a1p-2, -0x1.17a5ba85da77ap-4, 0x1.cc96894e05c02p-6,
-0x1.f532143cb832ep-7, 0x1.19180b660ff09p-7, -0x1.0c57417a78b3cp-8,
0x1.62e26cbd7bb1ep-10, -0x1.ce28d33fe1df3p-13 },
{ 0x1.fffed8d639751p-2, -0x1.1790349f3ae76p-4, 0x1.caf9a4fd1b398p-6,
-0x1.ec986b111342ep-7, 0x1.0b53c3ad4baa4p-7, -0x1.e3c2282eeace4p-9,
0x1.2a55369f55bbep-10, -0x1.667fe48c396e8p-13 },
{ 0x1.fffe24b714161p-2, -0x1.177394fbcb719p-4, 0x1.c90652d920ebdp-6,
-0x1.e3239197bddf1p-7, 0x1.fb2188525b025p-8, -0x1.b3aadd451afc7p-9,
0x1.f74020f31fdabp-11, -0x1.18b0cb246768dp-13 },
{ 0x1.fffd298bec9e2p-2, -0x1.174efbfd34648p-4, 0x1.c6bcfe48ea92bp-6,
-0x1.d8f9f2a16157cp-7, 0x1.e0044f56c8864p-8, -0x1.883e2347fe76cp-9,
0x1.a9f0e3c1b7af5p-11, -0x1.bb5acc0e60825p-14 },
{ 0x1.fffbd8b784c4dp-2, -0x1.1721abdd3722ep-4, 0x1.c41fee756d4bp-6,
-0x1.ce40bccf8065fp-7, 0x1.c59b684b70ef9p-8, -0x1.6133d027996b3p-9,
0x1.69cad01106397p-11, -0x1.60f8e45494156p-14 },
{ 0x1.fffa23749cf88p-2, -0x1.16eb0a8285c06p-4, 0x1.c132d762e1b0dp-6,
-0x1.c31a959398f4ep-7, 0x1.ac1c5b46bc8ap-8, -0x1.3e34f1abe51dcp-9,
0x1.346738737c0b9p-11, -0x1.1b227a3f5c75p-14 },
{ 0x1.fff7fb25bb407p-2, -0x1.16aaa14d7564p-4, 0x1.bdfa75fca5ff2p-6,
-0x1.b7a6e260d079cp-7, 0x1.93ab06911033cp-8, -0x1.1ee5560967fd5p-9,
0x1.07d31060838bfp-11, -0x1.c96f33a283115p-15
}
};

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@ -0,0 +1,34 @@
/* Common data for asinpif/acospif implementations.
Copyright (c) 2022-2025 Alexei Sibidanov.
The original version of this file was copied from the CORE-MATH
project (file src/binary32/asinpi/asinpif.c, revision 6ee58266).
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.
*/
#ifndef _S_ASINCOSPIF_H
#define _S_ASINCOSPIF_H
extern const double __asincospif_ch[][8] attribute_hidden;
#define CH __asincospif_ch
#endif

View File

@ -30,6 +30,7 @@ SOFTWARE.
#include <stdint.h>
#include <libm-alias-float.h>
#include "math_config.h"
#include "s_asincospif_data.h"
float
__asinpif (float x)
@ -52,59 +53,7 @@ __asinpif (float x)
/* s<32 corresponds to |x| >= 2^-12 */
if (__glibc_likely (s < 32))
i = ((t & (~0u >> 9)) | 1 << 23) >> s;
static const double ch[][8] =
{
{ 0x1.45f306dc9c882p-2, 0x1.b2995e7b7dc2fp-5, 0x1.8723a1cf50c7ep-6,
0x1.d1a4591d16a29p-7, 0x1.3ce3aa68ddaeep-7, 0x1.d3182ab0cc1bfp-8,
0x1.62b379a8b88e3p-8, 0x1.6811411fcfec2p-8 },
{ 0x1.ffffffffd3cdap-2, -0x1.17cc1b3355fddp-4, 0x1.d067a1e8d5a99p-6,
-0x1.08e16fb09314ap-6, 0x1.5eed43d42dcb2p-7, -0x1.f58baca7acc71p-8,
0x1.5dab64e2dcf15p-8, -0x1.59270e30797acp-9 },
{ 0x1.fffffff7c4617p-2, -0x1.17cc149ded3a2p-4, 0x1.d0654d4cb2c1ap-6,
-0x1.08c3ba713d33ap-6, 0x1.5d2053481079cp-7, -0x1.e485ebc545e7ep-8,
0x1.303baca167dddp-8, -0x1.dee8d16d06b38p-10 },
{ 0x1.ffffffa749848p-2, -0x1.17cbe7155935p-4, 0x1.d05a312269adfp-6,
-0x1.0862b3ee617d7p-6, 0x1.5920708db2a73p-7, -0x1.cb0463b3862c3p-8,
0x1.02b82478f95d7p-8, -0x1.52a7b8579e729p-10 },
{ 0x1.fffffe1f92bb5p-2, -0x1.17cb3e74c64e3p-4, 0x1.d03af67311cbfp-6,
-0x1.079441cbfc7ap-6, 0x1.52b4287805a61p-7, -0x1.ac3286d604a98p-8,
0x1.b2f1210d9701bp-9, -0x1.e740ddc25afd6p-11 },
{ 0x1.fffff92beb6e2p-2, -0x1.17c986fe9518bp-4, 0x1.cff98167c9a5ep-6,
-0x1.0638b591eae52p-6, 0x1.4a0803828959ep-7, -0x1.8adeca229f11dp-8,
0x1.6b9a7ba05dfcep-9, -0x1.640521a43b2dp-11 },
{ 0x1.ffffeccee5bfcp-2, -0x1.17c5f1753f5eap-4, 0x1.cf874e4fe258fp-6,
-0x1.043e6cf77b256p-6, 0x1.3f7db42227d92p-7, -0x1.691a6fa2a2882p-8,
0x1.2f6543162bc61p-9, -0x1.07d5da05822b6p-11 },
{ 0x1.ffffd2f64431dp-2, -0x1.17bf8208c10c1p-4, 0x1.ced7487cdb124p-6,
-0x1.01a0d30932905p-6, 0x1.3388f99b254dap-7, -0x1.4844e245c65bdp-8,
0x1.fa777150197c6p-10, -0x1.8c1ecf16a05c8p-12 },
{ 0x1.ffffa36d1712ep-2, -0x1.17b523971bd4ep-4, 0x1.cddee26de2deep-6,
-0x1.fccb00abaaabcp-7, 0x1.269afc3622342p-7, -0x1.2933152686752p-8,
0x1.a76d4956cc9a3p-10, -0x1.2ce7d6dc651cep-12 },
{ 0x1.ffff5402ab3a1p-2, -0x1.17a5ba85da77ap-4, 0x1.cc96894e05c02p-6,
-0x1.f532143cb832ep-7, 0x1.19180b660ff09p-7, -0x1.0c57417a78b3cp-8,
0x1.62e26cbd7bb1ep-10, -0x1.ce28d33fe1df3p-13 },
{ 0x1.fffed8d639751p-2, -0x1.1790349f3ae76p-4, 0x1.caf9a4fd1b398p-6,
-0x1.ec986b111342ep-7, 0x1.0b53c3ad4baa4p-7, -0x1.e3c2282eeace4p-9,
0x1.2a55369f55bbep-10, -0x1.667fe48c396e8p-13 },
{ 0x1.fffe24b714161p-2, -0x1.177394fbcb719p-4, 0x1.c90652d920ebdp-6,
-0x1.e3239197bddf1p-7, 0x1.fb2188525b025p-8, -0x1.b3aadd451afc7p-9,
0x1.f74020f31fdabp-11, -0x1.18b0cb246768dp-13 },
{ 0x1.fffd298bec9e2p-2, -0x1.174efbfd34648p-4, 0x1.c6bcfe48ea92bp-6,
-0x1.d8f9f2a16157cp-7, 0x1.e0044f56c8864p-8, -0x1.883e2347fe76cp-9,
0x1.a9f0e3c1b7af5p-11, -0x1.bb5acc0e60825p-14 },
{ 0x1.fffbd8b784c4dp-2, -0x1.1721abdd3722ep-4, 0x1.c41fee756d4bp-6,
-0x1.ce40bccf8065fp-7, 0x1.c59b684b70ef9p-8, -0x1.6133d027996b3p-9,
0x1.69cad01106397p-11, -0x1.60f8e45494156p-14 },
{ 0x1.fffa23749cf88p-2, -0x1.16eb0a8285c06p-4, 0x1.c132d762e1b0dp-6,
-0x1.c31a959398f4ep-7, 0x1.ac1c5b46bc8ap-8, -0x1.3e34f1abe51dcp-9,
0x1.346738737c0b9p-11, -0x1.1b227a3f5c75p-14 },
{ 0x1.fff7fb25bb407p-2, -0x1.16aaa14d7564p-4, 0x1.bdfa75fca5ff2p-6,
-0x1.b7a6e260d079cp-7, 0x1.93ab06911033cp-8, -0x1.1ee5560967fd5p-9,
0x1.07d31060838bfp-11, -0x1.c96f33a283115p-15
}
};
const double *c = ch[i];
const double *c = CH[i];
double z2 = z * z;
double z4 = z2 * z2;
if (__glibc_unlikely (i == 0)) /* |x| < 2^-4 */