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math: Use sinhf from CORE-MATH
The CORE-MATH implementation is correctly rounded (for any rounding mode) and shows slight better performance to the generic sinhf. 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 (Neoverse-N1, gcc 13.3.1), and powerpc (POWER10, gcc 13.2.1): Latency master patched improvement x86_64 52.6819 49.1489 6.71% x86_64v2 49.1162 42.9447 12.57% x86_64v3 46.9732 39.9157 15.02% i686 141.1470 129.6410 8.15% aarch64 (Neoverse) 20.8539 17.1288 17.86% power10 14.5258 9.1906 36.73% reciprocal-throughput master patched improvement x86_64 27.5553 23.9395 13.12% x86_64v2 21.6423 20.3219 6.10% x86_64v3 21.4842 16.0224 25.42% i686 87.9709 86.1626 2.06% aarch64 (Neoverse) 15.1919 12.2744 19.20% power10 7.2188 5.2611 27.12% 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
9583836785
commit
1751c0519a
26 changed files with 124 additions and 139 deletions
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@ -326,3 +326,7 @@ sysdeps/ieee754/flt-32/e_coshf.c:
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(src/binary32/cosh/coshf.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/e_sinhf.c:
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(src/binary32/sinh/sinhf.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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@ -1598,7 +1598,6 @@ ldouble: 3
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Function: "sinh":
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double: 2
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float: 2
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ldouble: 2
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Function: "sinh_advsimd":
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@ -1607,7 +1606,6 @@ float: 1
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Function: "sinh_downward":
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double: 3
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float: 3
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ldouble: 3
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Function: "sinh_sve":
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@ -1616,12 +1614,10 @@ float: 1
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Function: "sinh_towardzero":
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double: 3
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float: 2
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ldouble: 3
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Function: "sinh_upward":
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double: 3
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float: 3
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ldouble: 4
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Function: "sinpi":
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@ -1287,22 +1287,18 @@ ldouble: 3
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Function: "sinh":
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double: 2
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float: 2
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ldouble: 2
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Function: "sinh_downward":
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double: 3
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float: 3
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ldouble: 3
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Function: "sinh_towardzero":
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double: 3
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float: 2
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ldouble: 3
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Function: "sinh_upward":
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double: 3
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float: 3
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ldouble: 4
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Function: "tan":
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@ -1029,19 +1029,15 @@ float: 1
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Function: "sinh":
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double: 3
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float: 3
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Function: "sinh_downward":
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double: 3
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float: 3
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Function: "sinh_towardzero":
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double: 3
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float: 2
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Function: "sinh_upward":
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double: 3
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float: 3
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Function: "tan":
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double: 1
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@ -248,7 +248,6 @@ float: 1
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Function: "sinh":
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double: 2
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float: 2
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Function: "tanh":
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double: 2
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@ -1106,19 +1106,15 @@ float: 2
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Function: "sinh":
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double: 2
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float: 2
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Function: "sinh_downward":
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double: 3
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float: 3
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Function: "sinh_towardzero":
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double: 3
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float: 2
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Function: "sinh_upward":
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double: 3
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float: 3
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Function: "sinpi":
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double: 1
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@ -950,19 +950,15 @@ float: 1
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Function: "sinh":
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double: 2
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float: 2
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Function: "sinh_downward":
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double: 3
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float: 3
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Function: "sinh_towardzero":
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double: 3
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float: 2
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Function: "sinh_upward":
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double: 3
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float: 3
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Function: "tan_downward":
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double: 1
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@ -981,19 +981,15 @@ float: 2
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Function: "sinh":
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double: 2
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float: 2
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Function: "sinh_downward":
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double: 3
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float: 3
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Function: "sinh_towardzero":
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double: 2
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float: 2
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Function: "sinh_upward":
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double: 3
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float: 3
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Function: "tan_downward":
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double: 1
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@ -1135,19 +1135,15 @@ float: 2
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Function: "sinh":
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double: 2
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float: 2
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Function: "sinh_downward":
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double: 3
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float: 3
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Function: "sinh_towardzero":
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double: 3
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float: 2
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Function: "sinh_upward":
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double: 3
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float: 3
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Function: "sinpi":
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double: 1
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@ -1691,25 +1691,21 @@ ldouble: 3
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Function: "sinh":
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double: 2
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float: 2
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float128: 2
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ldouble: 3
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Function: "sinh_downward":
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double: 3
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float: 3
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float128: 3
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ldouble: 5
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Function: "sinh_towardzero":
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double: 3
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float: 2
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float128: 3
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ldouble: 4
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Function: "sinh_upward":
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double: 4
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float: 3
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float128: 4
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ldouble: 5
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@ -1696,25 +1696,21 @@ ldouble: 3
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Function: "sinh":
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double: 2
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float: 2
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float128: 2
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ldouble: 3
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Function: "sinh_downward":
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double: 3
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float: 3
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float128: 3
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ldouble: 5
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Function: "sinh_towardzero":
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double: 3
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float: 2
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float128: 3
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ldouble: 4
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Function: "sinh_upward":
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double: 4
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float: 3
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float128: 4
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ldouble: 5
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@ -1,62 +1,131 @@
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/* e_sinhf.c -- float version of e_sinh.c.
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*/
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/* Correctly-rounded hyperbolic sine function for binary32 value.
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/*
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* ====================================================
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* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
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*
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* Developed at SunPro, a Sun Microsystems, Inc. business.
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* Permission to use, copy, modify, and distribute this
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* software is freely granted, provided that this notice
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* is preserved.
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* ====================================================
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*/
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Copyright (c) 2022-2024 Alexei Sibidanov.
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The original version of this file was copied from the CORE-MATH
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project (file src/binary32/sinh/sinhf.c, revision 572ecec).
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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 <float.h>
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#include <math.h>
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#include <math-narrow-eval.h>
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#include <math_private.h>
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#include <math-underflow.h>
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#include <stdint.h>
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#include <libm-alias-finite.h>
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static const float one = 1.0, shuge = 1.0e37;
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#include <math-narrow-eval.h>
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#include "math_config.h"
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float
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__ieee754_sinhf(float x)
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__ieee754_sinhf (float x)
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{
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float t,w,h;
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int32_t ix,jx;
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GET_FLOAT_WORD(jx,x);
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ix = jx&0x7fffffff;
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/* x is INF or NaN */
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if(__builtin_expect(ix>=0x7f800000, 0)) return x+x;
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h = 0.5;
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if (jx<0) h = -h;
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/* |x| in [0,22], return sign(x)*0.5*(E+E/(E+1))) */
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if (ix < 0x41b00000) { /* |x|<22 */
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if (__builtin_expect(ix<0x31800000, 0)) { /* |x|<2**-28 */
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math_check_force_underflow (x);
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if(shuge+x>one) return x;/* sinh(tiny) = tiny with inexact */
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static const double c[] =
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{
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1, 0x1.62e42fef4c4e7p-6, 0x1.ebfd1b232f475p-13, 0x1.c6b19384ecd93p-20
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};
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static const double ch[] =
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{
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1, 0x1.62e42fefa39efp-6, 0x1.ebfbdff82c58fp-13,
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0x1.c6b08d702e0edp-20, 0x1.3b2ab6fb92e5ep-27, 0x1.5d886e6d54203p-35,
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0x1.430976b8ce6efp-43
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};
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static const uint64_t tb[] =
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{
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0x3fe0000000000000, 0x3fe059b0d3158574, 0x3fe0b5586cf9890f,
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0x3fe11301d0125b51, 0x3fe172b83c7d517b, 0x3fe1d4873168b9aa,
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0x3fe2387a6e756238, 0x3fe29e9df51fdee1, 0x3fe306fe0a31b715,
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0x3fe371a7373aa9cb, 0x3fe3dea64c123422, 0x3fe44e086061892d,
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0x3fe4bfdad5362a27, 0x3fe5342b569d4f82, 0x3fe5ab07dd485429,
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0x3fe6247eb03a5585, 0x3fe6a09e667f3bcd, 0x3fe71f75e8ec5f74,
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0x3fe7a11473eb0187, 0x3fe82589994cce13, 0x3fe8ace5422aa0db,
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0x3fe93737b0cdc5e5, 0x3fe9c49182a3f090, 0x3fea5503b23e255d,
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0x3feae89f995ad3ad, 0x3feb7f76f2fb5e47, 0x3fec199bdd85529c,
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0x3fecb720dcef9069, 0x3fed5818dcfba487, 0x3fedfc97337b9b5f,
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0x3feea4afa2a490da, 0x3fef50765b6e4540
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};
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static const struct
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{
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uint32_t uarg;
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float rh, rl;
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} st = { 0x74250bfeu, 0x1.250bfep-11, 0x1p-36 };
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const double iln2 = 0x1.71547652b82fep+5;
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double z = x;
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uint32_t ux = asuint (x) << 1;
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if (__glibc_unlikely (ux > 0x8565a9f8u))
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{ /* |x| >~ 89.4 */
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float sgn = copysignf (2.0f, x);
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if (ux >= 0xff000000u)
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{
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if (ux << 8)
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return x + x; /* nan */
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return copysignf (INFINITY, x); /* +-inf */
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}
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float r = math_narrow_eval (sgn * 0x1.fffffep127f);
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return r;
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}
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if (__glibc_unlikely (ux < 0x7c000000u))
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{ /* |x| < 0.125 */
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if (__glibc_unlikely (ux <= 0x74250bfeu))
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{ /* |x| <= 0x1.250bfep-11 */
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if (__glibc_unlikely (ux < 0x66000000u)) /* |x| < 0x1p-24 */
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return fmaf (x, fabsf (x), x);
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if (__glibc_unlikely (st.uarg == asuint (ux)))
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{
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float sgn = copysignf (1.0f, x);
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return sgn * st.rh + sgn * st.rl;
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}
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t = __expm1f(fabsf(x));
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if(ix<0x3f800000) return h*((float)2.0*t-t*t/(t+one));
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return h*(t+t/(t+one));
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return (x * 0x1.555556p-3f) * (x * x) + x;
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}
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/* |x| in [22, log(maxdouble)] return 0.5*exp(|x|) */
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if (ix < 0x42b17180) return h*__ieee754_expf(fabsf(x));
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/* |x| in [log(maxdouble), overflowthresold] */
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if (ix<=0x42b2d4fc) {
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w = __ieee754_expf((float)0.5*fabsf(x));
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t = h*w;
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return t*w;
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}
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/* |x| > overflowthresold, sinh(x) overflow */
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return math_narrow_eval (x*shuge);
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static const double cp[] =
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{
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0x1.5555555555555p-3, 0x1.11111111146e1p-7,
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0x1.a01a00930dda6p-13, 0x1.71f92198aa6e9p-19
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};
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double z2 = z * z;
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double z4 = z2 * z2;
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return z + (z2 * z)
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* ((cp[0] + z2 * cp[1]) + z4 * (cp[2] + z2 * (cp[3])));
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}
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double a = iln2 * z;
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double ia = roundeven_finite (a);
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double h = a - ia;
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double h2 = h * h;
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int64_t jp = asuint64 (ia + 0x1.8p52);
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int64_t jm = -jp;
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double sp = asdouble (tb[jp & 31] + ((jp >> 5) << 52));
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double sm = asdouble (tb[jm & 31] + ((jm >> 5) << 52));
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double te = c[0] + h2 * c[2];
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double to = (c[1] + h2 * c[3]);
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double rp = sp * (te + h * to);
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double rm = sm * (te - h * to);
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double r = rp - rm;
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float ub = r;
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double lb = r - 1.52e-10 * r;
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if (__glibc_unlikely (ub != lb))
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{
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const double iln2h = 0x1.7154765p+5;
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const double iln2l = 0x1.5c17f0bbbe88p-26;
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h = (iln2h * z - ia) + iln2l * z;
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h2 = h * h;
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te = ch[0] + h2 * ch[2] + (h2 * h2) * (ch[4] + h2 * ch[6]);
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to = ch[1] + h2 * (ch[3] + h2 * ch[5]);
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r = sp * (te + h * to) - sm * (te - h * to);
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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_finite (__ieee754_sinhf, __sinhf)
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@ -1293,22 +1293,18 @@ ldouble: 3
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Function: "sinh":
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double: 2
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float: 2
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ldouble: 2
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Function: "sinh_downward":
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double: 3
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float: 3
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ldouble: 3
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Function: "sinh_towardzero":
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double: 3
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float: 2
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ldouble: 3
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Function: "sinh_upward":
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double: 3
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float: 3
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ldouble: 4
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Function: "tan":
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@ -230,7 +230,6 @@ float: 1
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Function: "sinh":
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double: 2
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float: 2
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Function: "tanh":
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double: 2
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@ -1029,19 +1029,15 @@ float: 2
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Function: "sinh":
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double: 2
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float: 2
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Function: "sinh_downward":
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double: 3
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float: 3
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Function: "sinh_towardzero":
|
||||
double: 3
|
||||
float: 2
|
||||
|
||||
Function: "sinh_upward":
|
||||
double: 3
|
||||
float: 3
|
||||
|
||||
Function: "tan_downward":
|
||||
double: 1
|
||||
|
|
|
|||
|
|
@ -1305,22 +1305,18 @@ ldouble: 3
|
|||
|
||||
Function: "sinh":
|
||||
double: 2
|
||||
float: 2
|
||||
ldouble: 2
|
||||
|
||||
Function: "sinh_downward":
|
||||
double: 3
|
||||
float: 3
|
||||
ldouble: 3
|
||||
|
||||
Function: "sinh_towardzero":
|
||||
double: 3
|
||||
float: 2
|
||||
ldouble: 3
|
||||
|
||||
Function: "sinh_upward":
|
||||
double: 3
|
||||
float: 3
|
||||
ldouble: 4
|
||||
|
||||
Function: "tan":
|
||||
|
|
|
|||
|
|
@ -963,19 +963,15 @@ float: 1
|
|||
|
||||
Function: "sinh":
|
||||
double: 2
|
||||
float: 2
|
||||
|
||||
Function: "sinh_downward":
|
||||
double: 3
|
||||
float: 3
|
||||
|
||||
Function: "sinh_towardzero":
|
||||
double: 3
|
||||
float: 2
|
||||
|
||||
Function: "sinh_upward":
|
||||
double: 3
|
||||
float: 3
|
||||
|
||||
Function: "tan_downward":
|
||||
double: 1
|
||||
|
|
|
|||
|
|
@ -988,19 +988,15 @@ float: 1
|
|||
|
||||
Function: "sinh":
|
||||
double: 2
|
||||
float: 2
|
||||
|
||||
Function: "sinh_downward":
|
||||
double: 3
|
||||
float: 3
|
||||
|
||||
Function: "sinh_towardzero":
|
||||
double: 2
|
||||
float: 2
|
||||
|
||||
Function: "sinh_upward":
|
||||
double: 3
|
||||
float: 3
|
||||
|
||||
Function: "sinpi":
|
||||
double: 1
|
||||
|
|
|
|||
|
|
@ -1779,25 +1779,21 @@ ldouble: 7
|
|||
|
||||
Function: "sinh":
|
||||
double: 2
|
||||
float: 2
|
||||
float128: 2
|
||||
ldouble: 3
|
||||
|
||||
Function: "sinh_downward":
|
||||
double: 3
|
||||
float: 3
|
||||
float128: 3
|
||||
ldouble: 6
|
||||
|
||||
Function: "sinh_towardzero":
|
||||
double: 3
|
||||
float: 2
|
||||
float128: 3
|
||||
ldouble: 6
|
||||
|
||||
Function: "sinh_upward":
|
||||
double: 3
|
||||
float: 3
|
||||
float128: 4
|
||||
ldouble: 6
|
||||
|
||||
|
|
|
|||
|
|
@ -1402,22 +1402,18 @@ ldouble: 7
|
|||
|
||||
Function: "sinh":
|
||||
double: 2
|
||||
float: 2
|
||||
ldouble: 3
|
||||
|
||||
Function: "sinh_downward":
|
||||
double: 3
|
||||
float: 3
|
||||
ldouble: 6
|
||||
|
||||
Function: "sinh_towardzero":
|
||||
double: 3
|
||||
float: 2
|
||||
ldouble: 6
|
||||
|
||||
Function: "sinh_upward":
|
||||
double: 3
|
||||
float: 3
|
||||
ldouble: 6
|
||||
|
||||
Function: "sqrt":
|
||||
|
|
|
|||
|
|
@ -1234,22 +1234,18 @@ ldouble: 3
|
|||
|
||||
Function: "sinh":
|
||||
double: 2
|
||||
float: 2
|
||||
ldouble: 2
|
||||
|
||||
Function: "sinh_downward":
|
||||
double: 3
|
||||
float: 3
|
||||
ldouble: 3
|
||||
|
||||
Function: "sinh_towardzero":
|
||||
double: 2
|
||||
float: 2
|
||||
ldouble: 3
|
||||
|
||||
Function: "sinh_upward":
|
||||
double: 3
|
||||
float: 3
|
||||
ldouble: 4
|
||||
|
||||
Function: "tan":
|
||||
|
|
|
|||
|
|
@ -1292,22 +1292,18 @@ ldouble: 3
|
|||
|
||||
Function: "sinh":
|
||||
double: 2
|
||||
float: 2
|
||||
ldouble: 2
|
||||
|
||||
Function: "sinh_downward":
|
||||
double: 3
|
||||
float: 3
|
||||
ldouble: 3
|
||||
|
||||
Function: "sinh_towardzero":
|
||||
double: 3
|
||||
float: 2
|
||||
ldouble: 3
|
||||
|
||||
Function: "sinh_upward":
|
||||
double: 3
|
||||
float: 3
|
||||
ldouble: 4
|
||||
|
||||
Function: "tan":
|
||||
|
|
|
|||
|
|
@ -1311,22 +1311,18 @@ ldouble: 3
|
|||
|
||||
Function: "sinh":
|
||||
double: 2
|
||||
float: 2
|
||||
ldouble: 2
|
||||
|
||||
Function: "sinh_downward":
|
||||
double: 3
|
||||
float: 3
|
||||
ldouble: 3
|
||||
|
||||
Function: "sinh_towardzero":
|
||||
double: 3
|
||||
float: 2
|
||||
ldouble: 3
|
||||
|
||||
Function: "sinh_upward":
|
||||
double: 3
|
||||
float: 3
|
||||
ldouble: 4
|
||||
|
||||
Function: "sinpi":
|
||||
|
|
|
|||
|
|
@ -477,11 +477,9 @@ float: 1
|
|||
|
||||
Function: "sinh":
|
||||
double: 2
|
||||
float: 2
|
||||
|
||||
Function: "sinh_towardzero":
|
||||
double: 3
|
||||
float: 2
|
||||
|
||||
Function: "tan_towardzero":
|
||||
double: 1
|
||||
|
|
|
|||
|
|
@ -1326,22 +1326,18 @@ ldouble: 3
|
|||
|
||||
Function: "sinh":
|
||||
double: 2
|
||||
float: 2
|
||||
ldouble: 2
|
||||
|
||||
Function: "sinh_downward":
|
||||
double: 3
|
||||
float: 3
|
||||
ldouble: 3
|
||||
|
||||
Function: "sinh_towardzero":
|
||||
double: 3
|
||||
float: 2
|
||||
ldouble: 3
|
||||
|
||||
Function: "sinh_upward":
|
||||
double: 3
|
||||
float: 3
|
||||
ldouble: 4
|
||||
|
||||
Function: "sinpi":
|
||||
|
|
|
|||
|
|
@ -2177,25 +2177,21 @@ float: 1
|
|||
|
||||
Function: "sinh":
|
||||
double: 2
|
||||
float: 2
|
||||
float128: 2
|
||||
ldouble: 3
|
||||
|
||||
Function: "sinh_downward":
|
||||
double: 3
|
||||
float: 3
|
||||
float128: 3
|
||||
ldouble: 5
|
||||
|
||||
Function: "sinh_towardzero":
|
||||
double: 3
|
||||
float: 2
|
||||
float128: 3
|
||||
ldouble: 4
|
||||
|
||||
Function: "sinh_upward":
|
||||
double: 3
|
||||
float: 3
|
||||
float128: 4
|
||||
ldouble: 5
|
||||
|
||||
|
|
|
|||
Loading…
Add table
Reference in a new issue