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math: Consolidate cospif and sinpif 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 584500 844 12 585356 8ee8c aarch64-linux-gnu/math/libm.so 977341 1076 12 978429 eedfd x86_64-linux-gnu/math/libm.so 1205762 5608 368 1211738 127d5a powerpc64le-linux-gnu/math/libm.so After: 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 Reviewed-by: Andreas K. Huettel <dilfridge@gentoo.org>
This commit is contained in:
parent
4afbc1aa2e
commit
246e52574d
@ -370,6 +370,7 @@ type-float-routines := \
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math_errf \
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s_asincoshf_data \
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s_sincosf_data \
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s_sincospif_data \
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# type-float-routines
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# _Float128 support
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@ -28,67 +28,12 @@ SOFTWARE.
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#include <math.h>
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#include <stdint.h>
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#include <libm-alias-float.h>
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#include "s_sincospif_data.h"
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#include "math_config.h"
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float
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__cospif (float x)
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{
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static const double sn[] =
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{
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0x1.921fb54442d0fp-37, -0x1.4abbce6102b94p-112, 0x1.4669fa3c58463p-189
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};
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static const double cn[] =
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{
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-0x1.3bd3cc9be45cfp-74, 0x1.03c1f08088742p-150, -0x1.55d1e5eff55a5p-228
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};
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/* S[i] approximates sin(i*pi/2^6) */
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static const double S[] =
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{
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0x0p+0, 0x1.91f65f10dd814p-5, 0x1.917a6bc29b42cp-4,
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0x1.2c8106e8e613ap-3, 0x1.8f8b83c69a60bp-3, 0x1.f19f97b215f1bp-3,
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0x1.294062ed59f06p-2, 0x1.58f9a75ab1fddp-2, 0x1.87de2a6aea963p-2,
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0x1.b5d1009e15ccp-2, 0x1.e2b5d3806f63bp-2, 0x1.073879922ffeep-1,
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0x1.1c73b39ae68c8p-1, 0x1.30ff7fce17035p-1, 0x1.44cf325091dd6p-1,
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0x1.57d69348cecap-1, 0x1.6a09e667f3bcdp-1, 0x1.7b5df226aafafp-1,
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0x1.8bc806b151741p-1, 0x1.9b3e047f38741p-1, 0x1.a9b66290ea1a3p-1,
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0x1.b728345196e3ep-1, 0x1.c38b2f180bdb1p-1, 0x1.ced7af43cc773p-1,
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0x1.d906bcf328d46p-1, 0x1.e212104f686e5p-1, 0x1.e9f4156c62ddap-1,
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0x1.f0a7efb9230d7p-1, 0x1.f6297cff75cbp-1, 0x1.fa7557f08a517p-1,
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0x1.fd88da3d12526p-1, 0x1.ff621e3796d7ep-1, 0x1p+0,
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0x1.ff621e3796d7ep-1, 0x1.fd88da3d12526p-1, 0x1.fa7557f08a517p-1,
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0x1.f6297cff75cbp-1, 0x1.f0a7efb9230d7p-1, 0x1.e9f4156c62ddap-1,
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0x1.e212104f686e5p-1, 0x1.d906bcf328d46p-1, 0x1.ced7af43cc773p-1,
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0x1.c38b2f180bdb1p-1, 0x1.b728345196e3ep-1, 0x1.a9b66290ea1a3p-1,
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0x1.9b3e047f38741p-1, 0x1.8bc806b151741p-1, 0x1.7b5df226aafafp-1,
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0x1.6a09e667f3bcdp-1, 0x1.57d69348cecap-1, 0x1.44cf325091dd6p-1,
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0x1.30ff7fce17035p-1, 0x1.1c73b39ae68c8p-1, 0x1.073879922ffeep-1,
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0x1.e2b5d3806f63bp-2, 0x1.b5d1009e15ccp-2, 0x1.87de2a6aea963p-2,
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0x1.58f9a75ab1fddp-2, 0x1.294062ed59f06p-2, 0x1.f19f97b215f1bp-3,
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0x1.8f8b83c69a60bp-3, 0x1.2c8106e8e613ap-3, 0x1.917a6bc29b42cp-4,
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0x1.91f65f10dd814p-5, 0x0p+0, -0x1.91f65f10dd814p-5,
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-0x1.917a6bc29b42cp-4, -0x1.2c8106e8e613ap-3, -0x1.8f8b83c69a60bp-3,
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-0x1.f19f97b215f1bp-3, -0x1.294062ed59f06p-2, -0x1.58f9a75ab1fddp-2,
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-0x1.87de2a6aea963p-2, -0x1.b5d1009e15ccp-2, -0x1.e2b5d3806f63bp-2,
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-0x1.073879922ffeep-1, -0x1.1c73b39ae68c8p-1, -0x1.30ff7fce17035p-1,
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-0x1.44cf325091dd6p-1, -0x1.57d69348cecap-1, -0x1.6a09e667f3bcdp-1,
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-0x1.7b5df226aafafp-1, -0x1.8bc806b151741p-1, -0x1.9b3e047f38741p-1,
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-0x1.a9b66290ea1a3p-1, -0x1.b728345196e3ep-1, -0x1.c38b2f180bdb1p-1,
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-0x1.ced7af43cc773p-1, -0x1.d906bcf328d46p-1, -0x1.e212104f686e5p-1,
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-0x1.e9f4156c62ddap-1, -0x1.f0a7efb9230d7p-1, -0x1.f6297cff75cbp-1,
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-0x1.fa7557f08a517p-1, -0x1.fd88da3d12526p-1, -0x1.ff621e3796d7ep-1,
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-0x1p+0, -0x1.ff621e3796d7ep-1, -0x1.fd88da3d12526p-1,
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-0x1.fa7557f08a517p-1, -0x1.f6297cff75cbp-1, -0x1.f0a7efb9230d7p-1,
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-0x1.e9f4156c62ddap-1, -0x1.e212104f686e5p-1, -0x1.d906bcf328d46p-1,
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-0x1.ced7af43cc773p-1, -0x1.c38b2f180bdb1p-1, -0x1.b728345196e3ep-1,
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-0x1.a9b66290ea1a3p-1, -0x1.9b3e047f38741p-1, -0x1.8bc806b151741p-1,
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-0x1.7b5df226aafafp-1, -0x1.6a09e667f3bcdp-1, -0x1.57d69348cecap-1,
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-0x1.44cf325091dd6p-1, -0x1.30ff7fce17035p-1, -0x1.1c73b39ae68c8p-1,
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-0x1.073879922ffeep-1, -0x1.e2b5d3806f63bp-2, -0x1.b5d1009e15ccp-2,
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-0x1.87de2a6aea963p-2, -0x1.58f9a75ab1fddp-2, -0x1.294062ed59f06p-2,
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-0x1.f19f97b215f1bp-3, -0x1.8f8b83c69a60bp-3, -0x1.2c8106e8e613ap-3,
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-0x1.917a6bc29b42cp-4, -0x1.91f65f10dd814p-5
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};
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uint32_t ix = asuint (x);
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int32_t e = (ix >> 23) & 0xff;
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if (__glibc_unlikely (e == 0xff))
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@ -124,8 +69,8 @@ __cospif (float x)
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}
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double z = k;
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double z2 = z * z;
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double fs = sn[0] + z2 * (sn[1] + z2 * sn[2]);
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double fc = cn[0] + z2 * (cn[1] + z2 * cn[2]);
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double fs = SN[0] + z2 * (SN[1] + z2 * SN[2]);
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double fc = CN[0] + z2 * (CN[1] + z2 * CN[2]);
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uint32_t iq = m >> s;
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iq = (iq + 1) >> 1;
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uint32_t is = iq & 127, ic = (iq + 32) & 127;
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80
sysdeps/ieee754/flt-32/s_sincospif_data.c
Normal file
80
sysdeps/ieee754/flt-32/s_sincospif_data.c
Normal file
@ -0,0 +1,80 @@
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/* Common data for sinpif/cospif implementations.
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Copyright (c) 2022-2025 Alexei Sibidanov.
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The original version of this file was copied from the CORE-MATH
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project (src/binary32/sinpi/sinpif.c, revision f786e13).
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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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const double __sincospi_sn[] =
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{
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0x1.921fb54442d0fp-37, -0x1.4abbce6102b94p-112, 0x1.4669fa3c58463p-189
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};
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const double __sincospi_cn[] =
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{
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-0x1.3bd3cc9be45cfp-74, 0x1.03c1f08088742p-150, -0x1.55d1e5eff55a5p-228
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};
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const double __sincospi_S[] =
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{
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0x0p+0, 0x1.91f65f10dd814p-5, 0x1.917a6bc29b42cp-4,
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0x1.2c8106e8e613ap-3, 0x1.8f8b83c69a60bp-3, 0x1.f19f97b215f1bp-3,
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0x1.294062ed59f06p-2, 0x1.58f9a75ab1fddp-2, 0x1.87de2a6aea963p-2,
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0x1.b5d1009e15ccp-2, 0x1.e2b5d3806f63bp-2, 0x1.073879922ffeep-1,
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0x1.1c73b39ae68c8p-1, 0x1.30ff7fce17035p-1, 0x1.44cf325091dd6p-1,
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0x1.57d69348cecap-1, 0x1.6a09e667f3bcdp-1, 0x1.7b5df226aafafp-1,
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0x1.8bc806b151741p-1, 0x1.9b3e047f38741p-1, 0x1.a9b66290ea1a3p-1,
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0x1.b728345196e3ep-1, 0x1.c38b2f180bdb1p-1, 0x1.ced7af43cc773p-1,
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0x1.d906bcf328d46p-1, 0x1.e212104f686e5p-1, 0x1.e9f4156c62ddap-1,
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0x1.f0a7efb9230d7p-1, 0x1.f6297cff75cbp-1, 0x1.fa7557f08a517p-1,
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0x1.fd88da3d12526p-1, 0x1.ff621e3796d7ep-1, 0x1p+0,
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0x1.ff621e3796d7ep-1, 0x1.fd88da3d12526p-1, 0x1.fa7557f08a517p-1,
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0x1.f6297cff75cbp-1, 0x1.f0a7efb9230d7p-1, 0x1.e9f4156c62ddap-1,
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0x1.e212104f686e5p-1, 0x1.d906bcf328d46p-1, 0x1.ced7af43cc773p-1,
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0x1.c38b2f180bdb1p-1, 0x1.b728345196e3ep-1, 0x1.a9b66290ea1a3p-1,
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0x1.9b3e047f38741p-1, 0x1.8bc806b151741p-1, 0x1.7b5df226aafafp-1,
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0x1.6a09e667f3bcdp-1, 0x1.57d69348cecap-1, 0x1.44cf325091dd6p-1,
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0x1.30ff7fce17035p-1, 0x1.1c73b39ae68c8p-1, 0x1.073879922ffeep-1,
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0x1.e2b5d3806f63bp-2, 0x1.b5d1009e15ccp-2, 0x1.87de2a6aea963p-2,
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0x1.58f9a75ab1fddp-2, 0x1.294062ed59f06p-2, 0x1.f19f97b215f1bp-3,
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0x1.8f8b83c69a60bp-3, 0x1.2c8106e8e613ap-3, 0x1.917a6bc29b42cp-4,
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0x1.91f65f10dd814p-5, 0x0p+0, -0x1.91f65f10dd814p-5,
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-0x1.917a6bc29b42cp-4, -0x1.2c8106e8e613ap-3, -0x1.8f8b83c69a60bp-3,
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-0x1.f19f97b215f1bp-3, -0x1.294062ed59f06p-2, -0x1.58f9a75ab1fddp-2,
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-0x1.87de2a6aea963p-2, -0x1.b5d1009e15ccp-2, -0x1.e2b5d3806f63bp-2,
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-0x1.073879922ffeep-1, -0x1.1c73b39ae68c8p-1, -0x1.30ff7fce17035p-1,
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-0x1.44cf325091dd6p-1, -0x1.57d69348cecap-1, -0x1.6a09e667f3bcdp-1,
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-0x1.7b5df226aafafp-1, -0x1.8bc806b151741p-1, -0x1.9b3e047f38741p-1,
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-0x1.a9b66290ea1a3p-1, -0x1.b728345196e3ep-1, -0x1.c38b2f180bdb1p-1,
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-0x1.ced7af43cc773p-1, -0x1.d906bcf328d46p-1, -0x1.e212104f686e5p-1,
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-0x1.e9f4156c62ddap-1, -0x1.f0a7efb9230d7p-1, -0x1.f6297cff75cbp-1,
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-0x1.fa7557f08a517p-1, -0x1.fd88da3d12526p-1, -0x1.ff621e3796d7ep-1,
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-0x1p+0, -0x1.ff621e3796d7ep-1, -0x1.fd88da3d12526p-1,
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-0x1.fa7557f08a517p-1, -0x1.f6297cff75cbp-1, -0x1.f0a7efb9230d7p-1,
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-0x1.e9f4156c62ddap-1, -0x1.e212104f686e5p-1, -0x1.d906bcf328d46p-1,
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-0x1.ced7af43cc773p-1, -0x1.c38b2f180bdb1p-1, -0x1.b728345196e3ep-1,
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-0x1.a9b66290ea1a3p-1, -0x1.9b3e047f38741p-1, -0x1.8bc806b151741p-1,
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-0x1.7b5df226aafafp-1, -0x1.6a09e667f3bcdp-1, -0x1.57d69348cecap-1,
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-0x1.44cf325091dd6p-1, -0x1.30ff7fce17035p-1, -0x1.1c73b39ae68c8p-1,
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-0x1.073879922ffeep-1, -0x1.e2b5d3806f63bp-2, -0x1.b5d1009e15ccp-2,
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-0x1.87de2a6aea963p-2, -0x1.58f9a75ab1fddp-2, -0x1.294062ed59f06p-2,
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-0x1.f19f97b215f1bp-3, -0x1.8f8b83c69a60bp-3, -0x1.2c8106e8e613ap-3,
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-0x1.917a6bc29b42cp-4, -0x1.91f65f10dd814p-5
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};
|
37
sysdeps/ieee754/flt-32/s_sincospif_data.h
Normal file
37
sysdeps/ieee754/flt-32/s_sincospif_data.h
Normal file
@ -0,0 +1,37 @@
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/* Common data for sinpif/cospif implementations.
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Copyright (c) 2022-2025 Alexei Sibidanov.
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The original version of this file was copied from the CORE-MATH
|
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project (src/binary32/sinpi/sinpif.c, revision f786e13).
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|
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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,
|
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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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#ifndef _SINCOSPIF_H
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#define _SINCOSPIF_H
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extern const double __sincospi_sn[] attribute_hidden;
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#define SN __sincospi_sn
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extern const double __sincospi_cn[] attribute_hidden;
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#define CN __sincospi_cn
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extern const double __sincospi_S[] attribute_hidden;
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#define S __sincospi_S
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#endif
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@ -29,66 +29,12 @@ SOFTWARE.
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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 "s_sincospif_data.h"
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#include "math_config.h"
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float
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__sinpif (float x)
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{
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static const double sn[] =
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{
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0x1.921fb54442d0fp-37, -0x1.4abbce6102b94p-112, 0x1.4669fa3c58463p-189
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};
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static const double cn[] =
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{
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-0x1.3bd3cc9be45cfp-74, 0x1.03c1f08088742p-150, -0x1.55d1e5eff55a5p-228
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};
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static const double S[] =
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{
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0x0p+0, 0x1.91f65f10dd814p-5, 0x1.917a6bc29b42cp-4,
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0x1.2c8106e8e613ap-3, 0x1.8f8b83c69a60bp-3, 0x1.f19f97b215f1bp-3,
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0x1.294062ed59f06p-2, 0x1.58f9a75ab1fddp-2, 0x1.87de2a6aea963p-2,
|
||||
0x1.b5d1009e15ccp-2, 0x1.e2b5d3806f63bp-2, 0x1.073879922ffeep-1,
|
||||
0x1.1c73b39ae68c8p-1, 0x1.30ff7fce17035p-1, 0x1.44cf325091dd6p-1,
|
||||
0x1.57d69348cecap-1, 0x1.6a09e667f3bcdp-1, 0x1.7b5df226aafafp-1,
|
||||
0x1.8bc806b151741p-1, 0x1.9b3e047f38741p-1, 0x1.a9b66290ea1a3p-1,
|
||||
0x1.b728345196e3ep-1, 0x1.c38b2f180bdb1p-1, 0x1.ced7af43cc773p-1,
|
||||
0x1.d906bcf328d46p-1, 0x1.e212104f686e5p-1, 0x1.e9f4156c62ddap-1,
|
||||
0x1.f0a7efb9230d7p-1, 0x1.f6297cff75cbp-1, 0x1.fa7557f08a517p-1,
|
||||
0x1.fd88da3d12526p-1, 0x1.ff621e3796d7ep-1, 0x1p+0,
|
||||
0x1.ff621e3796d7ep-1, 0x1.fd88da3d12526p-1, 0x1.fa7557f08a517p-1,
|
||||
0x1.f6297cff75cbp-1, 0x1.f0a7efb9230d7p-1, 0x1.e9f4156c62ddap-1,
|
||||
0x1.e212104f686e5p-1, 0x1.d906bcf328d46p-1, 0x1.ced7af43cc773p-1,
|
||||
0x1.c38b2f180bdb1p-1, 0x1.b728345196e3ep-1, 0x1.a9b66290ea1a3p-1,
|
||||
0x1.9b3e047f38741p-1, 0x1.8bc806b151741p-1, 0x1.7b5df226aafafp-1,
|
||||
0x1.6a09e667f3bcdp-1, 0x1.57d69348cecap-1, 0x1.44cf325091dd6p-1,
|
||||
0x1.30ff7fce17035p-1, 0x1.1c73b39ae68c8p-1, 0x1.073879922ffeep-1,
|
||||
0x1.e2b5d3806f63bp-2, 0x1.b5d1009e15ccp-2, 0x1.87de2a6aea963p-2,
|
||||
0x1.58f9a75ab1fddp-2, 0x1.294062ed59f06p-2, 0x1.f19f97b215f1bp-3,
|
||||
0x1.8f8b83c69a60bp-3, 0x1.2c8106e8e613ap-3, 0x1.917a6bc29b42cp-4,
|
||||
0x1.91f65f10dd814p-5, 0x0p+0, -0x1.91f65f10dd814p-5,
|
||||
-0x1.917a6bc29b42cp-4, -0x1.2c8106e8e613ap-3, -0x1.8f8b83c69a60bp-3,
|
||||
-0x1.f19f97b215f1bp-3, -0x1.294062ed59f06p-2, -0x1.58f9a75ab1fddp-2,
|
||||
-0x1.87de2a6aea963p-2, -0x1.b5d1009e15ccp-2, -0x1.e2b5d3806f63bp-2,
|
||||
-0x1.073879922ffeep-1, -0x1.1c73b39ae68c8p-1, -0x1.30ff7fce17035p-1,
|
||||
-0x1.44cf325091dd6p-1, -0x1.57d69348cecap-1, -0x1.6a09e667f3bcdp-1,
|
||||
-0x1.7b5df226aafafp-1, -0x1.8bc806b151741p-1, -0x1.9b3e047f38741p-1,
|
||||
-0x1.a9b66290ea1a3p-1, -0x1.b728345196e3ep-1, -0x1.c38b2f180bdb1p-1,
|
||||
-0x1.ced7af43cc773p-1, -0x1.d906bcf328d46p-1, -0x1.e212104f686e5p-1,
|
||||
-0x1.e9f4156c62ddap-1, -0x1.f0a7efb9230d7p-1, -0x1.f6297cff75cbp-1,
|
||||
-0x1.fa7557f08a517p-1, -0x1.fd88da3d12526p-1, -0x1.ff621e3796d7ep-1,
|
||||
-0x1p+0, -0x1.ff621e3796d7ep-1, -0x1.fd88da3d12526p-1,
|
||||
-0x1.fa7557f08a517p-1, -0x1.f6297cff75cbp-1, -0x1.f0a7efb9230d7p-1,
|
||||
-0x1.e9f4156c62ddap-1, -0x1.e212104f686e5p-1, -0x1.d906bcf328d46p-1,
|
||||
-0x1.ced7af43cc773p-1, -0x1.c38b2f180bdb1p-1, -0x1.b728345196e3ep-1,
|
||||
-0x1.a9b66290ea1a3p-1, -0x1.9b3e047f38741p-1, -0x1.8bc806b151741p-1,
|
||||
-0x1.7b5df226aafafp-1, -0x1.6a09e667f3bcdp-1, -0x1.57d69348cecap-1,
|
||||
-0x1.44cf325091dd6p-1, -0x1.30ff7fce17035p-1, -0x1.1c73b39ae68c8p-1,
|
||||
-0x1.073879922ffeep-1, -0x1.e2b5d3806f63bp-2, -0x1.b5d1009e15ccp-2,
|
||||
-0x1.87de2a6aea963p-2, -0x1.58f9a75ab1fddp-2, -0x1.294062ed59f06p-2,
|
||||
-0x1.f19f97b215f1bp-3, -0x1.8f8b83c69a60bp-3, -0x1.2c8106e8e613ap-3,
|
||||
-0x1.917a6bc29b42cp-4, -0x1.91f65f10dd814p-5
|
||||
};
|
||||
|
||||
uint32_t ix = asuint (x);
|
||||
int32_t e = (ix >> 23) & 0xff;
|
||||
if (__glibc_unlikely (e == 0xff))
|
||||
@ -122,8 +68,8 @@ __sinpif (float x)
|
||||
|
||||
int32_t k = m << (31 - s);
|
||||
double z = k, z2 = z * z;
|
||||
double fs = sn[0] + z2 * (sn[1] + z2 * sn[2]);
|
||||
double fc = cn[0] + z2 * (cn[1] + z2 * cn[2]);
|
||||
double fs = SN[0] + z2 * (SN[1] + z2 * SN[2]);
|
||||
double fc = CN[0] + z2 * (CN[1] + z2 * CN[2]);
|
||||
uint32_t iq = m >> s;
|
||||
iq = (iq + 1) >> 1;
|
||||
uint32_t is = iq & 127, ic = (iq + 32) & 127;
|
||||
|
Loading…
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Reference in New Issue
Block a user