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([2804:1b3:a7c3:5d67:f7e1:d030:f4d6:f917]) by smtp.gmail.com with ESMTPSA id 5614622812f47-3f3daa1a4b8sm787005b6e.49.2025.02.13.11.37.43 (version=TLS1_3 cipher=TLS_AES_256_GCM_SHA384 bits=256/256); Thu, 13 Feb 2025 11:37:44 -0800 (PST) From: Adhemerval Zanella To: libc-alpha@sourceware.org Cc: "Andreas K . Huettel" , Paul Zimmermann , Alexei Sibidanov , DJ Delorie Subject: [PATCH v2 1/3] math: Consolidate cospif and sinpif internal tables Date: Thu, 13 Feb 2025 16:35:43 -0300 Message-ID: <20250213193737.3784065-2-adhemerval.zanella@linaro.org> X-Mailer: git-send-email 2.43.0 In-Reply-To: <20250213193737.3784065-1-adhemerval.zanella@linaro.org> References: <20250213193737.3784065-1-adhemerval.zanella@linaro.org> MIME-Version: 1.0 X-BeenThere: libc-alpha@sourceware.org X-Mailman-Version: 2.1.30 Precedence: list List-Id: Libc-alpha mailing list List-Unsubscribe: , List-Archive: List-Post: List-Help: List-Subscribe: , Errors-To: libc-alpha-bounces~patch=linaro.org@sourceware.org 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 --- math/Makefile | 1 + sysdeps/ieee754/flt-32/s_cospif.c | 61 +---------------- sysdeps/ieee754/flt-32/s_sincospif_data.c | 80 +++++++++++++++++++++++ sysdeps/ieee754/flt-32/s_sincospif_data.h | 37 +++++++++++ sysdeps/ieee754/flt-32/s_sinpif.c | 60 +---------------- 5 files changed, 124 insertions(+), 115 deletions(-) create mode 100644 sysdeps/ieee754/flt-32/s_sincospif_data.c create mode 100644 sysdeps/ieee754/flt-32/s_sincospif_data.h diff --git a/math/Makefile b/math/Makefile index ffffcd54bb..999f0cc19c 100644 --- a/math/Makefile +++ b/math/Makefile @@ -370,6 +370,7 @@ type-float-routines := \ math_errf \ s_asincoshf_data \ s_sincosf_data \ + s_sincospif_data \ # type-float-routines # _Float128 support diff --git a/sysdeps/ieee754/flt-32/s_cospif.c b/sysdeps/ieee754/flt-32/s_cospif.c index d4c652f8c0..1e838037e1 100644 --- a/sysdeps/ieee754/flt-32/s_cospif.c +++ b/sysdeps/ieee754/flt-32/s_cospif.c @@ -28,67 +28,12 @@ SOFTWARE. #include #include #include +#include "s_sincospif_data.h" #include "math_config.h" float __cospif (float x) { - static const double sn[] = - { - 0x1.921fb54442d0fp-37, -0x1.4abbce6102b94p-112, 0x1.4669fa3c58463p-189 - }; - static const double cn[] = - { - -0x1.3bd3cc9be45cfp-74, 0x1.03c1f08088742p-150, -0x1.55d1e5eff55a5p-228 - }; - /* S[i] approximates sin(i*pi/2^6) */ - static const double S[] = - { - 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, 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)) @@ -124,8 +69,8 @@ __cospif (float x) } double z = k; double 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; diff --git a/sysdeps/ieee754/flt-32/s_sincospif_data.c b/sysdeps/ieee754/flt-32/s_sincospif_data.c new file mode 100644 index 0000000000..7fa75e0176 --- /dev/null +++ b/sysdeps/ieee754/flt-32/s_sincospif_data.c @@ -0,0 +1,80 @@ +/* Common data for sinpif/cospif implementations. + +Copyright (c) 2022-2025 Alexei Sibidanov. + +The original version of this file was copied from the CORE-MATH +project (src/binary32/sinpi/sinpif.c, revision f786e13). + +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. +*/ + +const double __sincospi_sn[] = + { + 0x1.921fb54442d0fp-37, -0x1.4abbce6102b94p-112, 0x1.4669fa3c58463p-189 + }; +const double __sincospi_cn[] = + { + -0x1.3bd3cc9be45cfp-74, 0x1.03c1f08088742p-150, -0x1.55d1e5eff55a5p-228 + }; +const double __sincospi_S[] = + { + 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, 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 + }; diff --git a/sysdeps/ieee754/flt-32/s_sincospif_data.h b/sysdeps/ieee754/flt-32/s_sincospif_data.h new file mode 100644 index 0000000000..d09e238754 --- /dev/null +++ b/sysdeps/ieee754/flt-32/s_sincospif_data.h @@ -0,0 +1,37 @@ +/* Common data for sinpif/cospif implementations. + +Copyright (c) 2022-2025 Alexei Sibidanov. + +The original version of this file was copied from the CORE-MATH +project (src/binary32/sinpi/sinpif.c, revision f786e13). + +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 _SINCOSPIF_H +#define _SINCOSPIF_H + +extern const double __sincospi_sn[] attribute_hidden; +#define SN __sincospi_sn +extern const double __sincospi_cn[] attribute_hidden; +#define CN __sincospi_cn +extern const double __sincospi_S[] attribute_hidden; +#define S __sincospi_S + +#endif diff --git a/sysdeps/ieee754/flt-32/s_sinpif.c b/sysdeps/ieee754/flt-32/s_sinpif.c index 772ea428e2..99a8bbbcf3 100644 --- a/sysdeps/ieee754/flt-32/s_sinpif.c +++ b/sysdeps/ieee754/flt-32/s_sinpif.c @@ -29,66 +29,12 @@ SOFTWARE. #include #include #include +#include "s_sincospif_data.h" #include "math_config.h" float __sinpif (float x) { - static const double sn[] = - { - 0x1.921fb54442d0fp-37, -0x1.4abbce6102b94p-112, 0x1.4669fa3c58463p-189 - }; - static const double cn[] = - { - -0x1.3bd3cc9be45cfp-74, 0x1.03c1f08088742p-150, -0x1.55d1e5eff55a5p-228 - }; - static const double S[] = - { - 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, 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;