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math: Consolidate coshf and sinhf internal tables 

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

Before:

   text    data     bss     dec     hex filename
 585192     860      12  586064   8f150 aarch64-linux-gnu/math/libm.so
 960775    1068      12  961855   ead3f x86_64-linux-gnu/math/libm.so
1189174    5544     368 1195086  123c4e powerpc64le-linux-gnu/math/libm.so

After:

   text    data     bss     dec     hex filename
 584952     860      12  585824   8f060 aarch64-linux-gnu/math/libm.so
 960615    1068      12  961695   eac9f x86_64-linux-gnu/math/libm.so
1189078    5544     368 1194990  123bee powerpc64le-linux-gnu/math/libm.so

The are small code changes for x86_64 and powerpc64le, which do not
affect performance; but on aarch64 with gcc-14 I see a slight better
code generation due the usage of ldq for floating point constant loading.
Reviewed-by: Andreas K. Huettel <dilfridge@gentoo.org>
This commit is contained in:
Adhemerval Zanella 2025-02-03 18:24:19 -03:00
parent 994007ff29
commit b81252c4b9
5 changed files with 101 additions and 60 deletions
Show Stats Download Patch File Download Diff File Expand all files Collapse all files

1
math/Makefile
View File

@ -366,6 +366,7 @@ type-float-routines := \
e_log2f_data \
e_logf_data \
e_powf_log2_data \
e_sincoshf_data \
math_errf \
s_asincoshf_data \
s_sincosf_data \

38
sysdeps/ieee754/flt-32/e_coshf.c
View File

@ -28,34 +28,11 @@ SOFTWARE.
#include <math.h>
#include <libm-alias-finite.h>
#include "math_config.h"
#include "e_sincoshf_data.h"
float
__ieee754_coshf (float x)
{
static const double c[] =
{
1, 0x1.62e42fef4c4e7p-6, 0x1.ebfd1b232f475p-13, 0x1.c6b19384ecd93p-20
};
static const double ch[] =
{
1, 0x1.62e42fefa39efp-6, 0x1.ebfbdff82c58fp-13,
0x1.c6b08d702e0edp-20, 0x1.3b2ab6fb92e5ep-27, 0x1.5d886e6d54203p-35,
0x1.430976b8ce6efp-43
};
static const uint64_t tb[] =
{
0x3fe0000000000000, 0x3fe059b0d3158574, 0x3fe0b5586cf9890f,
0x3fe11301d0125b51, 0x3fe172b83c7d517b, 0x3fe1d4873168b9aa,
0x3fe2387a6e756238, 0x3fe29e9df51fdee1, 0x3fe306fe0a31b715,
0x3fe371a7373aa9cb, 0x3fe3dea64c123422, 0x3fe44e086061892d,
0x3fe4bfdad5362a27, 0x3fe5342b569d4f82, 0x3fe5ab07dd485429,
0x3fe6247eb03a5585, 0x3fe6a09e667f3bcd, 0x3fe71f75e8ec5f74,
0x3fe7a11473eb0187, 0x3fe82589994cce13, 0x3fe8ace5422aa0db,
0x3fe93737b0cdc5e5, 0x3fe9c49182a3f090, 0x3fea5503b23e255d,
0x3feae89f995ad3ad, 0x3feb7f76f2fb5e47, 0x3fec199bdd85529c,
0x3fecb720dcef9069, 0x3fed5818dcfba487, 0x3fedfc97337b9b5f,
0x3feea4afa2a490da, 0x3fef50765b6e4540
};
const double iln2 = 0x1.71547652b82fep+5;
double z = x;
uint32_t ax = asuint (x) << 1;
@ -92,10 +69,10 @@ __ieee754_coshf (float x)
double h2 = h * h;
int64_t jp = asuint64 (ia + 0x1.8p52);
int64_t jm = -jp;
double sp = asdouble (tb[jp & 31] + ((jp >> 5) << 52));
double sm = asdouble (tb[jm & 31] + ((jm >> 5) << 52));
double te = c[0] + h2 * c[2];
double to = (c[1] + h2 * c[3]);
double sp = asdouble (TB[jp & 31] + ((jp >> 5) << 52));
double sm = asdouble (TB[jm & 31] + ((jm >> 5) << 52));
double te = C[0] + h2 * C[2];
double to = (C[1] + h2 * C[3]);
double rp = sp * (te + h * to);
double rm = sm * (te - h * to);
double r = rp + rm;
@ -107,8 +84,9 @@ __ieee754_coshf (float x)
const double iln2l = 0x1.5c17f0bbbe88p-26;
h = (iln2h * z - ia) + iln2l * z;
h2 = h * h;
te = ch[0] + h2 * ch[2] + (h2 * h2) * (ch[4] + h2 * ch[6]);
to = ch[1] + h2 * (ch[3] + h2 * ch[5]);
te = CH[0] + h2 * CH[2] + (h2 * h2) * (CH[4] + h2 * CH[6]);
to = CH[1] + h2 * (CH[3] + h2
* CH[5]);
r = sp * (te + h * to) + sm * (te - h * to);
ub = r;
}

49
sysdeps/ieee754/flt-32/e_sincoshf_data.c Normal file
View File

@ -0,0 +1,49 @@
/* Common data for sinhf/coshf implementations.
Copyright (c) 2022-2025 Alexei Sibidanov.
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 "e_sincoshf_data.h"
const double __sincoshf_c[] =
{
1, 0x1.62e42fef4c4e7p-6, 0x1.ebfd1b232f475p-13, 0x1.c6b19384ecd93p-20
};
const double __sincoshf_ch[] =
{
1, 0x1.62e42fefa39efp-6, 0x1.ebfbdff82c58fp-13,
0x1.c6b08d702e0edp-20, 0x1.3b2ab6fb92e5ep-27, 0x1.5d886e6d54203p-35,
0x1.430976b8ce6efp-43
};
const uint64_t __sincoshf_tb[] =
{
0x3fe0000000000000, 0x3fe059b0d3158574, 0x3fe0b5586cf9890f,
0x3fe11301d0125b51, 0x3fe172b83c7d517b, 0x3fe1d4873168b9aa,
0x3fe2387a6e756238, 0x3fe29e9df51fdee1, 0x3fe306fe0a31b715,
0x3fe371a7373aa9cb, 0x3fe3dea64c123422, 0x3fe44e086061892d,
0x3fe4bfdad5362a27, 0x3fe5342b569d4f82, 0x3fe5ab07dd485429,
0x3fe6247eb03a5585, 0x3fe6a09e667f3bcd, 0x3fe71f75e8ec5f74,
0x3fe7a11473eb0187, 0x3fe82589994cce13, 0x3fe8ace5422aa0db,
0x3fe93737b0cdc5e5, 0x3fe9c49182a3f090, 0x3fea5503b23e255d,
0x3feae89f995ad3ad, 0x3feb7f76f2fb5e47, 0x3fec199bdd85529c,
0x3fecb720dcef9069, 0x3fed5818dcfba487, 0x3fedfc97337b9b5f,
0x3feea4afa2a490da, 0x3fef50765b6e4540
};

36
sysdeps/ieee754/flt-32/e_sincoshf_data.h Normal file
View File

@ -0,0 +1,36 @@
/* Common data for sinhf/coshf implementations.
Copyright (c) 2022-2025 Alexei Sibidanov.
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 _SINCOSHF_H
#define _SINCOSHF_H
#include <stdint.h>
extern const double __sincoshf_c[] attribute_hidden;
#define C __sincoshf_c
extern const double __sincoshf_ch[] attribute_hidden;
#define CH __sincoshf_ch
extern const uint64_t __sincoshf_tb[] attribute_hidden;
#define TB __sincoshf_tb
#endif

37
sysdeps/ieee754/flt-32/e_sinhf.c
View File

@ -29,34 +29,11 @@ SOFTWARE.
#include <libm-alias-finite.h>
#include <math-narrow-eval.h>
#include "math_config.h"
#include "e_sincoshf_data.h"
float
__ieee754_sinhf (float x)
{
static const double c[] =
{
1, 0x1.62e42fef4c4e7p-6, 0x1.ebfd1b232f475p-13, 0x1.c6b19384ecd93p-20
};
static const double ch[] =
{
1, 0x1.62e42fefa39efp-6, 0x1.ebfbdff82c58fp-13,
0x1.c6b08d702e0edp-20, 0x1.3b2ab6fb92e5ep-27, 0x1.5d886e6d54203p-35,
0x1.430976b8ce6efp-43
};
static const uint64_t tb[] =
{
0x3fe0000000000000, 0x3fe059b0d3158574, 0x3fe0b5586cf9890f,
0x3fe11301d0125b51, 0x3fe172b83c7d517b, 0x3fe1d4873168b9aa,
0x3fe2387a6e756238, 0x3fe29e9df51fdee1, 0x3fe306fe0a31b715,
0x3fe371a7373aa9cb, 0x3fe3dea64c123422, 0x3fe44e086061892d,
0x3fe4bfdad5362a27, 0x3fe5342b569d4f82, 0x3fe5ab07dd485429,
0x3fe6247eb03a5585, 0x3fe6a09e667f3bcd, 0x3fe71f75e8ec5f74,
0x3fe7a11473eb0187, 0x3fe82589994cce13, 0x3fe8ace5422aa0db,
0x3fe93737b0cdc5e5, 0x3fe9c49182a3f090, 0x3fea5503b23e255d,
0x3feae89f995ad3ad, 0x3feb7f76f2fb5e47, 0x3fec199bdd85529c,
0x3fecb720dcef9069, 0x3fed5818dcfba487, 0x3fedfc97337b9b5f,
0x3feea4afa2a490da, 0x3fef50765b6e4540
};
static const struct
{
uint32_t uarg;
@ -106,10 +83,10 @@ __ieee754_sinhf (float x)
double h2 = h * h;
int64_t jp = asuint64 (ia + 0x1.8p52);
int64_t jm = -jp;
double sp = asdouble (tb[jp & 31] + ((jp >> 5) << 52));
double sm = asdouble (tb[jm & 31] + ((jm >> 5) << 52));
double te = c[0] + h2 * c[2];
double to = (c[1] + h2 * c[3]);
double sp = asdouble (TB[jp & 31] + ((jp >> 5) << 52));
double sm = asdouble (TB[jm & 31] + ((jm >> 5) << 52));
double te = C[0] + h2 * C[2];
double to = (C[1] + h2 * C[3]);
double rp = sp * (te + h * to);
double rm = sm * (te - h * to);
double r = rp - rm;
@ -121,8 +98,8 @@ __ieee754_sinhf (float x)
const double iln2l = 0x1.5c17f0bbbe88p-26;
h = (iln2h * z - ia) + iln2l * z;
h2 = h * h;
te = ch[0] + h2 * ch[2] + (h2 * h2) * (ch[4] + h2 * ch[6]);
to = ch[1] + h2 * (ch[3] + h2 * ch[5]);
te = CH[0] + h2 * CH[2] + (h2 * h2) * (CH[4] + h2 * CH[6]);
to = CH[1] + h2 * (CH[3] + h2 * CH[5]);
r = sp * (te + h * to) - sm * (te - h * to);
ub = r;
}