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math: Use log10p1f from CORE-MATH
The CORE-MATH implementation is correctly rounded (for any rounding mode) and shows slight better performance to the generic log10p1f. 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 (M1, gcc 13.2.1), and powerpc (POWER10, gcc 13.2.1): Latency master patched improvement x86_64 68.5251 32.2627 52.92% x86_64v2 68.8912 32.7887 52.41% x86_64v3 59.3427 27.0521 54.41% i686 162.026 103.383 36.19% aarch64 26.8513 14.5695 45.74% power10 12.7426 8.4929 33.35% powerpc 16.6768 9.29135 44.29% reciprocal-throughput master patched improvement x86_64 26.0969 12.4023 52.48% x86_64v2 25.0045 11.0748 55.71% x86_64v3 20.5610 10.2995 49.91% i686 89.8842 78.5211 12.64% aarch64 17.1200 9.4832 44.61% power10 6.7814 6.4258 5.24% powerpc 15.769 7.6825 51.28% 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
parent
8ae9e51376
commit
f338c7c5f5
@ -264,3 +264,7 @@ sysdeps/ieee754/flt-32/s_log1pf.c
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(file src/binary32/log1p/log1pf.c in CORE-MATH)
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- The code was adapted to use glibc code style and internal
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functions to handle errno, overflow, and underflow.
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sysdeps/ieee754/flt-32/s_log10p1f.c
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(file src/binary32/log10p1/log10p1f.c in CORE-MATH)
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- The code was adapted to use glibc code style and internal
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functions to handle errno, overflow, and underflow.
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@ -1346,22 +1346,18 @@ ldouble: 1
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Function: "log10p1":
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double: 2
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float: 2
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ldouble: 3
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Function: "log10p1_downward":
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double: 2
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float: 3
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ldouble: 4
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Function: "log10p1_towardzero":
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double: 3
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float: 2
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ldouble: 3
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Function: "log10p1_upward":
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double: 2
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float: 3
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ldouble: 4
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Function: "log1p":
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@ -965,19 +965,15 @@ float: 4
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Function: "log10p1":
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double: 2
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float: 2
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Function: "log10p1_downward":
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double: 2
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float: 3
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Function: "log10p1_towardzero":
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double: 3
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float: 2
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Function: "log10p1_upward":
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double: 2
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float: 3
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Function: "log1p":
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double: 1
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@ -234,7 +234,6 @@ float: 2
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Function: "log10p1":
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double: 1
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float: 2
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Function: "log1p":
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double: 1
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@ -958,19 +958,15 @@ float: 2
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Function: "log10p1":
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double: 1
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float: 2
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Function: "log10p1_downward":
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double: 2
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float: 3
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Function: "log10p1_towardzero":
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double: 3
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float: 2
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Function: "log10p1_upward":
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double: 2
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float: 3
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Function: "log1p":
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double: 1
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@ -981,19 +981,15 @@ float: 2
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Function: "log10p1":
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double: 2
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float: 2
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Function: "log10p1_downward":
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double: 2
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float: 3
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Function: "log10p1_towardzero":
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double: 3
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float: 2
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Function: "log10p1_upward":
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double: 2
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float: 3
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Function: "log1p":
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double: 1
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@ -1414,25 +1414,21 @@ ldouble: 1
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Function: "log10p1":
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double: 1
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float: 2
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float128: 3
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ldouble: 4
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Function: "log10p1_downward":
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double: 2
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float: 3
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float128: 4
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ldouble: 8
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Function: "log10p1_towardzero":
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double: 2
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float: 1
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float128: 3
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ldouble: 8
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Function: "log10p1_upward":
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double: 2
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float: 3
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float128: 4
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ldouble: 6
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@ -1417,25 +1417,21 @@ ldouble: 1
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Function: "log10p1":
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double: 1
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float: 2
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float128: 3
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ldouble: 4
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Function: "log10p1_downward":
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double: 2
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float: 1
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float128: 4
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ldouble: 8
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Function: "log10p1_towardzero":
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double: 2
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float: 1
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float128: 3
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ldouble: 8
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Function: "log10p1_upward":
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double: 2
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float: 2
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float128: 4
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ldouble: 6
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182
sysdeps/ieee754/flt-32/s_log10p1f.c
Normal file
182
sysdeps/ieee754/flt-32/s_log10p1f.c
Normal file
@ -0,0 +1,182 @@
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/* Correctly-rounded biased argument base-10 logarithm function for binary32 value.
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Copyright (c) 2022-2023 Alexei Sibidanov.
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This file is part of the CORE-MATH project
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project (file src/binary32/log10p1/log10p1f.c revision bc385c2).
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Permission is hereby granted, free of charge, to any person obtaining a copy
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of this software and associated documentation files (the "Software"), to deal
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in the Software without restriction, including without limitation the rights
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to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
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copies of the Software, and to permit persons to whom the Software is
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furnished to do so, subject to the following conditions:
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The above copyright notice and this permission notice shall be included in all
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copies or substantial portions of the Software.
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THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
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IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
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FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
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AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
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LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
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OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
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SOFTWARE.
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*/
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#include <stdint.h>
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#include <errno.h>
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#include <fenv.h>
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#include <libm-alias-float.h>
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#include "math_config.h"
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static __attribute__ ((noinline)) float
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as_special (float x)
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{
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uint32_t ux = asuint (x);
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if (ux == 0x7f800000u)
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return x; /* +inf */
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uint32_t ax = ux << 1;
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if (ax == 0x17fu << 24)
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/* x+1 = 0.0 */
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return __math_divzerof (1);
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if (ax > 0xff000000u)
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return x + x; /* nan */
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return __math_invalidf (x);
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}
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float
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__log10p1f (float x)
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{
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static const double tr[] =
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{
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0x1p+0, 0x1.f81f82p-1, 0x1.f07c1fp-1, 0x1.e9131acp-1,
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0x1.e1e1e1ep-1, 0x1.dae6077p-1, 0x1.d41d41dp-1, 0x1.cd85689p-1,
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0x1.c71c71cp-1, 0x1.c0e0704p-1, 0x1.bacf915p-1, 0x1.b4e81b5p-1,
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0x1.af286bdp-1, 0x1.a98ef6p-1, 0x1.a41a41ap-1, 0x1.9ec8e95p-1,
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0x1.999999ap-1, 0x1.948b0fdp-1, 0x1.8f9c19p-1, 0x1.8acb90fp-1,
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0x1.8618618p-1, 0x1.8181818p-1, 0x1.7d05f41p-1, 0x1.78a4c81p-1,
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0x1.745d174p-1, 0x1.702e05cp-1, 0x1.6c16c17p-1, 0x1.6816817p-1,
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0x1.642c859p-1, 0x1.605816p-1, 0x1.5c9882cp-1, 0x1.58ed231p-1,
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0x1.5555555p-1, 0x1.51d07ebp-1, 0x1.4e5e0a7p-1, 0x1.4afd6ap-1,
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0x1.47ae148p-1, 0x1.446f865p-1, 0x1.4141414p-1, 0x1.3e22cbdp-1,
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0x1.3b13b14p-1, 0x1.3813814p-1, 0x1.3521cfbp-1, 0x1.323e34ap-1,
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0x1.2f684bep-1, 0x1.2c9fb4ep-1, 0x1.29e412ap-1, 0x1.27350b9p-1,
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0x1.2492492p-1, 0x1.21fb781p-1, 0x1.1f7047ep-1, 0x1.1cf06aep-1,
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0x1.1a7b961p-1, 0x1.1811812p-1, 0x1.15b1e5fp-1, 0x1.135c811p-1,
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0x1.1111111p-1, 0x1.0ecf56cp-1, 0x1.0c9715p-1, 0x1.0a6810ap-1,
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0x1.0842108p-1, 0x1.0624dd3p-1, 0x1.041041p-1, 0x1.0204081p-1,
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0.5
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};
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static const double tl[] =
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{
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0x1.562ec497ef351p-43, 0x1.b9476892ea99cp-8, 0x1.b5e909c959eecp-7,
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0x1.45f4f59ec84fp-6, 0x1.af5f92cbcf2aap-6, 0x1.0ba01a6069052p-5,
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0x1.3ed119b99dd41p-5, 0x1.714834298a088p-5, 0x1.a30a9d98309c1p-5,
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0x1.d41d51266b9d9p-5, 0x1.02428c0f62dfcp-4, 0x1.1a23444eea521p-4,
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0x1.31b30543f2597p-4, 0x1.48f3ed39bd5e7p-4, 0x1.5fe8049a0bd06p-4,
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0x1.769140a6a78eap-4, 0x1.8cf1836c96595p-4, 0x1.a30a9d5551a84p-4,
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0x1.b8de4d1ee5b21p-4, 0x1.ce6e4202c7bc9p-4, 0x1.e3bc1accaa6eap-4,
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0x1.f8c9683b584b7p-4, 0x1.06cbd68ca86ep-3, 0x1.11142f19de3a2p-3,
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0x1.1b3e71fa795fp-3, 0x1.254b4d37a3354p-3, 0x1.2f3b6912cab79p-3,
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0x1.390f6831144f7p-3, 0x1.42c7e7fffb21ap-3, 0x1.4c65808c779aep-3,
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0x1.55e8c507508c7p-3, 0x1.5f52445deb049p-3, 0x1.68a288c3efe72p-3,
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0x1.71da17bdef98bp-3, 0x1.7af9736089c4bp-3, 0x1.84011952a11ebp-3,
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0x1.8cf1837a7d6d1p-3, 0x1.95cb2891e3048p-3, 0x1.9e8e7b0f85651p-3,
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0x1.a73beaa5d9dfep-3, 0x1.afd3e39454544p-3, 0x1.b856cf060c662p-3,
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0x1.c0c5134de0c6dp-3, 0x1.c91f1371bb611p-3, 0x1.d1652ffcd2bc5p-3,
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0x1.d997c6f634ae6p-3, 0x1.e1b733ab8fbadp-3, 0x1.e9c3ceadab4c8p-3,
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0x1.f1bdeec438f77p-3, 0x1.f9a5e7a5f906fp-3, 0x1.00be05ac02564p-2,
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0x1.04a054d81990cp-2, 0x1.087a083594e33p-2, 0x1.0c4b457098b4fp-2,
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0x1.101431aa1f48ap-2, 0x1.13d4f08b98411p-2, 0x1.178da53edaecbp-2,
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0x1.1b3e71e9f9391p-2, 0x1.1ee777defd526p-2, 0x1.2288d7b48d874p-2,
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0x1.2622b0f52dad8p-2, 0x1.29b522a4c594cp-2, 0x1.2d404b0e305b9p-2,
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0x1.30c4478f3f21dp-2, 0x1.34413509f6f4dp-2
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};
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static const union
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{
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float f;
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uint32_t u;
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} st[] =
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{
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{ 0x0p+0 }, { 0x1.2p+3 }, { 0x1.8cp+6 },
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{ 0x1.f38p+9 }, { 0x1.3878p+13 }, { 0x1.869fp+16 },
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{ 0x1.e847ep+19 }, { 0x1.312cfep+23 }
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};
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double z = x;
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uint32_t ux = asuint (x);
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if (__glibc_unlikely (ux >= 0x17fu << 23)) /* x <= -1 */
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return as_special (x);
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uint32_t ax = ux & (~0u >> 1);
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if (__glibc_unlikely (ax == 0))
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return copysign (0, x);
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if (__glibc_unlikely (ax >= (0xff << 23))) /* +inf, nan */
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return as_special (x);
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int ie = ux;
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ie >>= 23;
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unsigned int je = ie - 126;
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je = (je * 0x9a209a8) >> 29;
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if (__glibc_unlikely (ux == st[je].u))
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return je;
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uint64_t tz = asuint64 (z + 1.0);
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uint64_t m = tz & (~(uint64_t) 0 >> 12);
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int32_t e = (tz >> 52) - 1023, j = ((m + ((int64_t) 1 << 45)) >> 46);
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tz = m | ((uint64_t) 0x3ff << 52);
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double ix = tr[j], l = tl[j];
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double off = e * 0x1.34413509f79ffp-2 + l;
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double v = asdouble (tz) * ix - 1;
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static const double h[] =
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{
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0x1.bcb7b150bf6d8p-2, -0x1.bcb7b1738c07ep-3,
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0x1.287de19e795c5p-3, -0x1.bca44edc44bc4p-4
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};
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double v2 = v * v;
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double f = (h[0] + v * h[1]) + v2 * (h[2] + v * h[3]);
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double r = off + v * f;
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float ub = r;
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float lb = r + 0x1.5cp-42;
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if (__glibc_unlikely (ub != lb))
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{
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if (__glibc_unlikely (ax < 0x3d32743eu))
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{ /* 0x1.64e87cp-5f */
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if (__glibc_unlikely (ux == 0xa6aba8afu))
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return -0x1.2a33bcp-51f + 0x1p-76f;
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if (__glibc_unlikely (ux == 0xaf39b9a7u))
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return -0x1.42a342p-34f + 0x1p-59f;
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if (__glibc_unlikely (ux == 0x399a7c00u))
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return 0x1.0c53cap-13f + 0x1p-38f;
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z /= 2.0 + z;
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double z2 = z * z, z4 = z2 * z2;
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static const double c[] =
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{
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0x1.bcb7b1526e50fp-1, 0x1.287a76370129dp-2,
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0x1.63c62378fa3dbp-3, 0x1.fca4139a42374p-4
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};
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float ret = z * ((c[0] + z2 * c[1]) + z4 * (c[2] + z2 * c[3]));
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if (x != 0.0f && ret == 0.0)
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__set_errno (ERANGE);
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return ret;
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}
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if (__glibc_unlikely (ux == 0x7956ba5eu))
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return 0x1.16bebap+5f + 0x1p-20f;
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if (__glibc_unlikely (ux == 0xbd86ffb9u))
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return -0x1.e53536p-6f + 0x1p-31f;
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static const double c[] =
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{
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0x1.bcb7b1526e50ep-2, -0x1.bcb7b1526e53dp-3, 0x1.287a7636f3fa2p-3,
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-0x1.bcb7b146a14b3p-4, 0x1.63c627d5219cbp-4, -0x1.2880736c8762dp-4,
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0x1.fc1ecf913961ap-5
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};
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f = v
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* ((c[0] + v * c[1])
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+ v2 * ((c[2] + v * c[3]) + v2 * (c[4] + v * c[5] + v2 * c[6])));
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f += l - tl[0];
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double el = e * 0x1.34413509f79ffp-2;
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r = el + f;
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ub = r;
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}
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return ub;
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}
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libm_alias_float (__log10p1, log10p1)
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@ -1195,22 +1195,18 @@ ldouble: 1
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Function: "log10p1":
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double: 2
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float: 2
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ldouble: 3
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Function: "log10p1_downward":
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double: 2
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float: 3
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ldouble: 4
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Function: "log10p1_towardzero":
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double: 3
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float: 2
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ldouble: 3
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Function: "log10p1_upward":
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double: 2
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float: 3
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ldouble: 4
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Function: "log1p":
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@ -955,19 +955,15 @@ float: 2
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Function: "log10p1":
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double: 1
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||||
float: 2
|
||||
|
||||
Function: "log10p1_downward":
|
||||
double: 2
|
||||
float: 3
|
||||
|
||||
Function: "log10p1_towardzero":
|
||||
double: 3
|
||||
float: 2
|
||||
|
||||
Function: "log10p1_upward":
|
||||
double: 2
|
||||
float: 3
|
||||
|
||||
Function: "log1p":
|
||||
double: 1
|
||||
|
||||
@ -1200,22 +1200,18 @@ ldouble: 1
|
||||
|
||||
Function: "log10p1":
|
||||
double: 1
|
||||
float: 2
|
||||
ldouble: 3
|
||||
|
||||
Function: "log10p1_downward":
|
||||
double: 2
|
||||
float: 3
|
||||
ldouble: 4
|
||||
|
||||
Function: "log10p1_towardzero":
|
||||
double: 3
|
||||
float: 2
|
||||
ldouble: 3
|
||||
|
||||
Function: "log10p1_upward":
|
||||
double: 2
|
||||
float: 3
|
||||
ldouble: 4
|
||||
|
||||
Function: "log1p":
|
||||
|
||||
@ -1497,25 +1497,21 @@ ldouble: 2
|
||||
|
||||
Function: "log10p1":
|
||||
double: 2
|
||||
float: 2
|
||||
float128: 3
|
||||
ldouble: 3
|
||||
|
||||
Function: "log10p1_downward":
|
||||
double: 2
|
||||
float: 3
|
||||
float128: 4
|
||||
ldouble: 6
|
||||
|
||||
Function: "log10p1_towardzero":
|
||||
double: 3
|
||||
float: 2
|
||||
float128: 3
|
||||
ldouble: 6
|
||||
|
||||
Function: "log10p1_upward":
|
||||
double: 2
|
||||
float: 3
|
||||
float128: 4
|
||||
ldouble: 6
|
||||
|
||||
|
||||
@ -1257,22 +1257,18 @@ ldouble: 2
|
||||
|
||||
Function: "log10p1":
|
||||
double: 1
|
||||
float: 2
|
||||
ldouble: 3
|
||||
|
||||
Function: "log10p1_downward":
|
||||
double: 2
|
||||
float: 3
|
||||
ldouble: 6
|
||||
|
||||
Function: "log10p1_towardzero":
|
||||
double: 3
|
||||
float: 2
|
||||
ldouble: 6
|
||||
|
||||
Function: "log10p1_upward":
|
||||
double: 2
|
||||
float: 3
|
||||
ldouble: 6
|
||||
|
||||
Function: "log1p":
|
||||
|
||||
@ -1167,7 +1167,6 @@ ldouble: 1
|
||||
|
||||
Function: "log10p1":
|
||||
double: 1
|
||||
float: 1
|
||||
ldouble: 3
|
||||
|
||||
Function: "log1p":
|
||||
|
||||
@ -1195,22 +1195,18 @@ ldouble: 1
|
||||
|
||||
Function: "log10p1":
|
||||
double: 2
|
||||
float: 2
|
||||
ldouble: 3
|
||||
|
||||
Function: "log10p1_downward":
|
||||
double: 2
|
||||
float: 3
|
||||
ldouble: 4
|
||||
|
||||
Function: "log10p1_towardzero":
|
||||
double: 3
|
||||
float: 2
|
||||
ldouble: 3
|
||||
|
||||
Function: "log10p1_upward":
|
||||
double: 2
|
||||
float: 3
|
||||
ldouble: 4
|
||||
|
||||
Function: "log1p":
|
||||
|
||||
@ -1196,22 +1196,18 @@ ldouble: 1
|
||||
|
||||
Function: "log10p1":
|
||||
double: 2
|
||||
float: 2
|
||||
ldouble: 3
|
||||
|
||||
Function: "log10p1_downward":
|
||||
double: 2
|
||||
float: 3
|
||||
ldouble: 4
|
||||
|
||||
Function: "log10p1_towardzero":
|
||||
double: 3
|
||||
float: 2
|
||||
ldouble: 3
|
||||
|
||||
Function: "log10p1_upward":
|
||||
double: 2
|
||||
float: 3
|
||||
ldouble: 4
|
||||
|
||||
Function: "log1p":
|
||||
|
||||
@ -1200,22 +1200,18 @@ ldouble: 1
|
||||
|
||||
Function: "log10p1":
|
||||
double: 1
|
||||
float: 2
|
||||
ldouble: 3
|
||||
|
||||
Function: "log10p1_downward":
|
||||
double: 2
|
||||
float: 3
|
||||
ldouble: 4
|
||||
|
||||
Function: "log10p1_towardzero":
|
||||
double: 3
|
||||
float: 2
|
||||
ldouble: 3
|
||||
|
||||
Function: "log10p1_upward":
|
||||
double: 2
|
||||
float: 3
|
||||
ldouble: 4
|
||||
|
||||
Function: "log1p":
|
||||
|
||||
@ -1798,25 +1798,21 @@ float: 1
|
||||
|
||||
Function: "log10p1":
|
||||
double: 2
|
||||
float: 2
|
||||
float128: 3
|
||||
ldouble: 4
|
||||
|
||||
Function: "log10p1_downward":
|
||||
double: 2
|
||||
float: 3
|
||||
float128: 4
|
||||
ldouble: 8
|
||||
|
||||
Function: "log10p1_towardzero":
|
||||
double: 3
|
||||
float: 2
|
||||
float128: 3
|
||||
ldouble: 8
|
||||
|
||||
Function: "log10p1_upward":
|
||||
double: 2
|
||||
float: 3
|
||||
float128: 4
|
||||
ldouble: 6
|
||||
|
||||
|
||||
Loading…
Reference in New Issue
Block a user