1 1.1 mrg // Math extensions -*- C++ -*- 2 1.1 mrg 3 1.10 mrg // Copyright (C) 2013-2022 Free Software Foundation, Inc. 4 1.1 mrg // 5 1.1 mrg // This file is part of the GNU ISO C++ Library. This library is free 6 1.1 mrg // software; you can redistribute it and/or modify it under the 7 1.1 mrg // terms of the GNU General Public License as published by the 8 1.1 mrg // Free Software Foundation; either version 3, or (at your option) 9 1.1 mrg // any later version. 10 1.1 mrg 11 1.1 mrg // This library is distributed in the hope that it will be useful, 12 1.1 mrg // but WITHOUT ANY WARRANTY; without even the implied warranty of 13 1.1 mrg // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the 14 1.1 mrg // GNU General Public License for more details. 15 1.1 mrg 16 1.1 mrg // Under Section 7 of GPL version 3, you are granted additional 17 1.1 mrg // permissions described in the GCC Runtime Library Exception, version 18 1.1 mrg // 3.1, as published by the Free Software Foundation. 19 1.1 mrg 20 1.1 mrg // You should have received a copy of the GNU General Public License and 21 1.1 mrg // a copy of the GCC Runtime Library Exception along with this program; 22 1.1 mrg // see the files COPYING3 and COPYING.RUNTIME respectively. If not, see 23 1.1 mrg // <http://www.gnu.org/licenses/>. 24 1.1 mrg 25 1.1 mrg /** @file ext/cmath 26 1.1 mrg * This file is a GNU extension to the Standard C++ Library. 27 1.1 mrg */ 28 1.1 mrg 29 1.1 mrg #ifndef _EXT_CMATH 30 1.1 mrg #define _EXT_CMATH 1 31 1.1 mrg 32 1.1 mrg #pragma GCC system_header 33 1.1 mrg 34 1.1 mrg #if __cplusplus < 201103L 35 1.1 mrg # include <bits/c++0x_warning.h> 36 1.1 mrg #else 37 1.1 mrg 38 1.1 mrg #include <cmath> 39 1.1 mrg #include <type_traits> 40 1.1 mrg 41 1.1 mrg namespace __gnu_cxx _GLIBCXX_VISIBILITY(default) 42 1.1 mrg { 43 1.1 mrg _GLIBCXX_BEGIN_NAMESPACE_VERSION 44 1.1 mrg 45 1.1 mrg // A class for math constants. 46 1.1 mrg template<typename _RealType> 47 1.1 mrg struct __math_constants 48 1.1 mrg { 49 1.1 mrg static_assert(std::is_floating_point<_RealType>::value, 50 1.1 mrg "template argument not a floating point type"); 51 1.1 mrg 52 1.1 mrg // Constant @f$ \pi @f$. 53 1.1 mrg static constexpr _RealType __pi = 3.1415926535897932384626433832795029L; 54 1.1 mrg // Constant @f$ \pi / 2 @f$. 55 1.1 mrg static constexpr _RealType __pi_half = 1.5707963267948966192313216916397514L; 56 1.1 mrg // Constant @f$ \pi / 3 @f$. 57 1.1 mrg static constexpr _RealType __pi_third = 1.0471975511965977461542144610931676L; 58 1.1 mrg // Constant @f$ \pi / 4 @f$. 59 1.1 mrg static constexpr _RealType __pi_quarter = 0.7853981633974483096156608458198757L; 60 1.1 mrg // Constant @f$ \sqrt(\pi / 2) @f$. 61 1.1 mrg static constexpr _RealType __root_pi_div_2 = 1.2533141373155002512078826424055226L; 62 1.1 mrg // Constant @f$ 1 / \pi @f$. 63 1.1 mrg static constexpr _RealType __one_div_pi = 0.3183098861837906715377675267450287L; 64 1.1 mrg // Constant @f$ 2 / \pi @f$. 65 1.1 mrg static constexpr _RealType __two_div_pi = 0.6366197723675813430755350534900574L; 66 1.1 mrg // Constant @f$ 2 / \sqrt(\pi) @f$. 67 1.1 mrg static constexpr _RealType __two_div_root_pi = 1.1283791670955125738961589031215452L; 68 1.1 mrg 69 1.1 mrg // Constant Euler's number @f$ e @f$. 70 1.1 mrg static constexpr _RealType __e = 2.7182818284590452353602874713526625L; 71 1.1 mrg // Constant @f$ 1 / e @f$. 72 1.1 mrg static constexpr _RealType __one_div_e = 0.36787944117144232159552377016146087L; 73 1.1 mrg // Constant @f$ \log_2(e) @f$. 74 1.1 mrg static constexpr _RealType __log2_e = 1.4426950408889634073599246810018921L; 75 1.1 mrg // Constant @f$ \log_10(e) @f$. 76 1.1 mrg static constexpr _RealType __log10_e = 0.4342944819032518276511289189166051L; 77 1.1 mrg // Constant @f$ \ln(2) @f$. 78 1.1 mrg static constexpr _RealType __ln_2 = 0.6931471805599453094172321214581766L; 79 1.1 mrg // Constant @f$ \ln(3) @f$. 80 1.1 mrg static constexpr _RealType __ln_3 = 1.0986122886681096913952452369225257L; 81 1.1 mrg // Constant @f$ \ln(10) @f$. 82 1.1 mrg static constexpr _RealType __ln_10 = 2.3025850929940456840179914546843642L; 83 1.1 mrg 84 1.1 mrg // Constant Euler-Mascheroni @f$ \gamma_E @f$. 85 1.1 mrg static constexpr _RealType __gamma_e = 0.5772156649015328606065120900824024L; 86 1.1 mrg // Constant Golden Ratio @f$ \phi @f$. 87 1.1 mrg static constexpr _RealType __phi = 1.6180339887498948482045868343656381L; 88 1.1 mrg 89 1.1 mrg // Constant @f$ \sqrt(2) @f$. 90 1.1 mrg static constexpr _RealType __root_2 = 1.4142135623730950488016887242096981L; 91 1.1 mrg // Constant @f$ \sqrt(3) @f$. 92 1.1 mrg static constexpr _RealType __root_3 = 1.7320508075688772935274463415058724L; 93 1.1 mrg // Constant @f$ \sqrt(5) @f$. 94 1.1 mrg static constexpr _RealType __root_5 = 2.2360679774997896964091736687312762L; 95 1.1 mrg // Constant @f$ \sqrt(7) @f$. 96 1.1 mrg static constexpr _RealType __root_7 = 2.6457513110645905905016157536392604L; 97 1.1 mrg // Constant @f$ 1 / \sqrt(2) @f$. 98 1.1 mrg static constexpr _RealType __one_div_root_2 = 0.7071067811865475244008443621048490L; 99 1.1 mrg }; 100 1.1 mrg 101 1.1 mrg // And the template definitions for the constants. 102 1.1 mrg template<typename _RealType> 103 1.1 mrg constexpr _RealType __math_constants<_RealType>::__pi; 104 1.1 mrg template<typename _RealType> 105 1.1 mrg constexpr _RealType __math_constants<_RealType>::__pi_half; 106 1.1 mrg template<typename _RealType> 107 1.1 mrg constexpr _RealType __math_constants<_RealType>::__pi_third; 108 1.1 mrg template<typename _RealType> 109 1.1 mrg constexpr _RealType __math_constants<_RealType>::__pi_quarter; 110 1.1 mrg template<typename _RealType> 111 1.1 mrg constexpr _RealType __math_constants<_RealType>::__root_pi_div_2; 112 1.1 mrg template<typename _RealType> 113 1.1 mrg constexpr _RealType __math_constants<_RealType>::__one_div_pi; 114 1.1 mrg template<typename _RealType> 115 1.1 mrg constexpr _RealType __math_constants<_RealType>::__two_div_pi; 116 1.1 mrg template<typename _RealType> 117 1.1 mrg constexpr _RealType __math_constants<_RealType>::__two_div_root_pi; 118 1.1 mrg template<typename _RealType> 119 1.1 mrg constexpr _RealType __math_constants<_RealType>::__e; 120 1.1 mrg template<typename _RealType> 121 1.1 mrg constexpr _RealType __math_constants<_RealType>::__one_div_e; 122 1.1 mrg template<typename _RealType> 123 1.1 mrg constexpr _RealType __math_constants<_RealType>::__log2_e; 124 1.1 mrg template<typename _RealType> 125 1.1 mrg constexpr _RealType __math_constants<_RealType>::__log10_e; 126 1.1 mrg template<typename _RealType> 127 1.1 mrg constexpr _RealType __math_constants<_RealType>::__ln_2; 128 1.1 mrg template<typename _RealType> 129 1.1 mrg constexpr _RealType __math_constants<_RealType>::__ln_3; 130 1.1 mrg template<typename _RealType> 131 1.1 mrg constexpr _RealType __math_constants<_RealType>::__ln_10; 132 1.1 mrg template<typename _RealType> 133 1.1 mrg constexpr _RealType __math_constants<_RealType>::__gamma_e; 134 1.1 mrg template<typename _RealType> 135 1.1 mrg constexpr _RealType __math_constants<_RealType>::__phi; 136 1.1 mrg template<typename _RealType> 137 1.1 mrg constexpr _RealType __math_constants<_RealType>::__root_2; 138 1.1 mrg template<typename _RealType> 139 1.1 mrg constexpr _RealType __math_constants<_RealType>::__root_3; 140 1.1 mrg template<typename _RealType> 141 1.1 mrg constexpr _RealType __math_constants<_RealType>::__root_5; 142 1.1 mrg template<typename _RealType> 143 1.1 mrg constexpr _RealType __math_constants<_RealType>::__root_7; 144 1.1 mrg template<typename _RealType> 145 1.1 mrg constexpr _RealType __math_constants<_RealType>::__one_div_root_2; 146 1.1 mrg 147 1.1 mrg _GLIBCXX_END_NAMESPACE_VERSION 148 1.1 mrg } // namespace __gnu_cxx 149 1.1 mrg 150 1.1 mrg #endif // C++11 151 1.1 mrg 152 1.1 mrg #endif // _EXT_CMATH 153
Indexes created Mon Mar 02 05:31:46 UTC 2026