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math: Consolidate acosf and asinf internal tables

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

Before:

 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

After:

 581972     844      12  582828   8e4ac aarch64-linux-gnu/math/libm.so
 974941    1076      12  976029   ee49d x86_64-linux-gnu/math/libm.so
1203394    5608     368 1209370  12741a powerpc64le-linux-gnu/math/libm.so
Reviewed-by: Andreas K. Huettel <dilfridge@gentoo.org>
This commit is contained in:
Adhemerval Zanella 2025-02-13 16:35:45 -03:00
parent 1faccf388a
commit 0242c9f9e6
5 changed files with 85 additions and 32 deletions
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1
math/Makefile
View file

@ -368,6 +368,7 @@ type-float-routines := \
e_powf_log2_data \
e_sincoshf_data \
math_errf \
s_asincosf_data \
s_asincoshf_data \
s_asincospif_data \
s_sincosf_data \

19
sysdeps/ieee754/flt-32/e_acosf.c
View file

@ -30,6 +30,7 @@ SOFTWARE.
#include <libm-alias-finite.h>
#include <math-barriers.h>
#include "math_config.h"
#include "s_asincosf_data.h"
static __attribute__ ((noinline)) float
as_special (float x)
@ -110,33 +111,19 @@ __ieee754_acosf (float x)
/* accurate path */
if (ax < (0x7eu << 24))
{
static const double c[] =
{
0x1.555555555529cp-3, 0x1.333333337e0ddp-4, 0x1.6db6db3b4465ep-5,
0x1.f1c72e13ac306p-6, 0x1.6e89cebe06bc4p-6, 0x1.1c6dcf5289094p-6,
0x1.c6dbbcc7c6315p-7, 0x1.8f8dc2615e996p-7, 0x1.a5833b7bf15e8p-8,
0x1.43f44ace1665cp-6, -0x1.0fb17df881c73p-6, 0x1.07520c026b2d6p-5
};
if (t == 0x328885a3u)
return 0x1.921fb6p+0f + 0x1p-25;
if (t == 0x39826222u)
return 0x1.920f6ap+0f + 0x1p-25;
double x2 = xs * xs;
r = (pi2 - xs) - (xs * x2) * poly12 (x2, c);
r = (pi2 - xs) - (xs * x2) * poly12 (x2, C0);
}
else
{
static const double c[] =
{
0x1.6a09e667f3bcbp+0, 0x1.e2b7dddff2db9p-4, 0x1.b27247ab42dbcp-6,
0x1.02995cc4e0744p-7, 0x1.5ffb0276ec8eap-9, 0x1.033885a928decp-10,
0x1.911f2be23f8c7p-12, 0x1.4c3c55d2437fdp-13, 0x1.af477e1d7b461p-15,
0x1.abd6bdff67dcbp-15, -0x1.1717e86d0fa28p-16, 0x1.6ff526de46023p-16
};
double bx = fabs (xs);
double z = 1.0 - bx;
double s = copysign (sqrt (z), xs);
r = o[t >> 31] + s * poly12 (z, c);
r = o[t >> 31] + s * poly12 (z, C1);
}
return r;
}

19
sysdeps/ieee754/flt-32/e_asinf.c
View file

@ -28,6 +28,7 @@ SOFTWARE.
#include <errno.h>
#include <libm-alias-finite.h>
#include "math_config.h"
#include "s_asincosf_data.h"
static __attribute__ ((noinline)) float
as_special (float x)
@ -95,16 +96,9 @@ __ieee754_asinf (float x)
}
if (ax < (0x7eu << 24))
{
static const double c[] =
{
0x1.555555555529cp-3, 0x1.333333337e0ddp-4, 0x1.6db6db3b4465ep-5,
0x1.f1c72e13ac306p-6, 0x1.6e89cebe06bc4p-6, 0x1.1c6dcf5289094p-6,
0x1.c6dbbcc7c6315p-7, 0x1.8f8dc2615e996p-7, 0x1.a5833b7bf15e8p-8,
0x1.43f44ace1665cp-6, -0x1.0fb17df881c73p-6, 0x1.07520c026b2d6p-5
};
double z = xs;
double z2 = z * z;
double c0 = poly12 (z2, c);
double c0 = poly12 (z2, C0);
r = z + (z * z2) * c0;
}
else
@ -116,14 +110,7 @@ __ieee754_asinf (float x)
double bx = fabs (xs);
double z = 1.0 - bx;
double s = sqrt (z);
static const double c[] =
{
0x1.6a09e667f3bcbp+0, 0x1.e2b7dddff2db9p-4, 0x1.b27247ab42dbcp-6,
0x1.02995cc4e0744p-7, 0x1.5ffb0276ec8eap-9, 0x1.033885a928decp-10,
0x1.911f2be23f8c7p-12, 0x1.4c3c55d2437fdp-13, 0x1.af477e1d7b461p-15,
0x1.abd6bdff67dcbp-15, -0x1.1717e86d0fa28p-16, 0x1.6ff526de46023p-16
};
r = pi2 - s * poly12 (z, c);
r = pi2 - s * poly12 (z, C1);
r = copysign (r, xs);
}
return r;

43
sysdeps/ieee754/flt-32/s_asincosf_data.c Normal file
View file

@ -0,0 +1,43 @@
/* Common data for asinf/acosf implementations.
Copyright (c) 2023-2024 Alexei Sibidanov.
The original version of this file was copied from the CORE-MATH
project (file src/binary32/asin/asinf.c, revision bc385c2).
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_asincosf_data.h"
const double __asincosf_c0[] =
{
0x1.555555555529cp-3, 0x1.333333337e0ddp-4, 0x1.6db6db3b4465ep-5,
0x1.f1c72e13ac306p-6, 0x1.6e89cebe06bc4p-6, 0x1.1c6dcf5289094p-6,
0x1.c6dbbcc7c6315p-7, 0x1.8f8dc2615e996p-7, 0x1.a5833b7bf15e8p-8,
0x1.43f44ace1665cp-6, -0x1.0fb17df881c73p-6, 0x1.07520c026b2d6p-5
};
const double __asincosf_c1[] =
{
0x1.6a09e667f3bcbp+0, 0x1.e2b7dddff2db9p-4, 0x1.b27247ab42dbcp-6,
0x1.02995cc4e0744p-7, 0x1.5ffb0276ec8eap-9, 0x1.033885a928decp-10,
0x1.911f2be23f8c7p-12, 0x1.4c3c55d2437fdp-13, 0x1.af477e1d7b461p-15,
0x1.abd6bdff67dcbp-15, -0x1.1717e86d0fa28p-16, 0x1.6ff526de46023p-16
};

35
sysdeps/ieee754/flt-32/s_asincosf_data.h Normal file
View file

@ -0,0 +1,35 @@
/* Common data for asinf/acosf implementations.
Copyright (c) 2023-2024 Alexei Sibidanov.
The original version of this file was copied from the CORE-MATH
project (file src/binary32/asin/asinf.c, revision bc385c2).
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_ASINCOSF_DATA_H
#define _S_ASINCOSF_DATA_H
extern const double __asincosf_c0[] attribute_hidden;
#define C0 __asincosf_c0
extern const double __asincosf_c1[] attribute_hidden;
#define C1 __asincosf_c1
#endif