projects / thirdparty / gcc.git / blame
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| d233c237 UD |
1 | // Math extensions -*- C++ -*- |
| 2 | ||
| 83ffe9cd | 3 | // Copyright (C) 2013-2023 Free Software Foundation, Inc. |
| d233c237 UD |
4 | // |
| 5 | // This file is part of the GNU ISO C++ Library. This library is free | |
| 6 | // software; you can redistribute it and/or modify it under the | |
| 7 | // terms of the GNU General Public License as published by the | |
| 8 | // Free Software Foundation; either version 3, or (at your option) | |
| 9 | // any later version. | |
| 10 | ||
| 11 | // This library is distributed in the hope that it will be useful, | |
| 12 | // but WITHOUT ANY WARRANTY; without even the implied warranty of | |
| 13 | // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the | |
| 14 | // GNU General Public License for more details. | |
| 15 | ||
| 16 | // Under Section 7 of GPL version 3, you are granted additional | |
| 17 | // permissions described in the GCC Runtime Library Exception, version | |
| 18 | // 3.1, as published by the Free Software Foundation. | |
| 19 | ||
| 20 | // You should have received a copy of the GNU General Public License and | |
| 21 | // a copy of the GCC Runtime Library Exception along with this program; | |
| 22 | // see the files COPYING3 and COPYING.RUNTIME respectively. If not, see | |
| 23 | // <http://www.gnu.org/licenses/>. | |
| 24 | ||
| 25 | /** @file ext/cmath | |
| 26 | * This file is a GNU extension to the Standard C++ Library. | |
| 27 | */ | |
| 28 | ||
| 29 | #ifndef _EXT_CMATH | |
| 30 | #define _EXT_CMATH 1 | |
| 31 | ||
| 32 | #pragma GCC system_header | |
| 33 | ||
| 18f176d0 AA |
34 | #include <bits/requires_hosted.h> // GNU extensions are currently omitted |
| 35 | ||
| d233c237 UD |
36 | #if __cplusplus < 201103L |
| 37 | # include <bits/c++0x_warning.h> | |
| 38 | #else | |
| 39 | ||
| 40 | #include <cmath> | |
| 41 | #include <type_traits> | |
| 42 | ||
| 43 | namespace __gnu_cxx _GLIBCXX_VISIBILITY(default) | |
| 44 | { | |
| 45 | _GLIBCXX_BEGIN_NAMESPACE_VERSION | |
| 46 | ||
| 47 | // A class for math constants. | |
| 48 | template<typename _RealType> | |
| 49 | struct __math_constants | |
| 50 | { | |
| 51 | static_assert(std::is_floating_point<_RealType>::value, | |
| 52 | "template argument not a floating point type"); | |
| 53 | ||
| 54 | // Constant @f$ \pi @f$. | |
| 55 | static constexpr _RealType __pi = 3.1415926535897932384626433832795029L; | |
| 56 | // Constant @f$ \pi / 2 @f$. | |
| 57 | static constexpr _RealType __pi_half = 1.5707963267948966192313216916397514L; | |
| 58 | // Constant @f$ \pi / 3 @f$. | |
| 59 | static constexpr _RealType __pi_third = 1.0471975511965977461542144610931676L; | |
| 60 | // Constant @f$ \pi / 4 @f$. | |
| 61 | static constexpr _RealType __pi_quarter = 0.7853981633974483096156608458198757L; | |
| 62 | // Constant @f$ \sqrt(\pi / 2) @f$. | |
| 63 | static constexpr _RealType __root_pi_div_2 = 1.2533141373155002512078826424055226L; | |
| 64 | // Constant @f$ 1 / \pi @f$. | |
| 65 | static constexpr _RealType __one_div_pi = 0.3183098861837906715377675267450287L; | |
| 66 | // Constant @f$ 2 / \pi @f$. | |
| 67 | static constexpr _RealType __two_div_pi = 0.6366197723675813430755350534900574L; | |
| 68 | // Constant @f$ 2 / \sqrt(\pi) @f$. | |
| 69 | static constexpr _RealType __two_div_root_pi = 1.1283791670955125738961589031215452L; | |
| 70 | ||
| 71 | // Constant Euler's number @f$ e @f$. | |
| 72 | static constexpr _RealType __e = 2.7182818284590452353602874713526625L; | |
| 73 | // Constant @f$ 1 / e @f$. | |
| 74 | static constexpr _RealType __one_div_e = 0.36787944117144232159552377016146087L; | |
| 75 | // Constant @f$ \log_2(e) @f$. | |
| 76 | static constexpr _RealType __log2_e = 1.4426950408889634073599246810018921L; | |
| 77 | // Constant @f$ \log_10(e) @f$. | |
| 78 | static constexpr _RealType __log10_e = 0.4342944819032518276511289189166051L; | |
| 79 | // Constant @f$ \ln(2) @f$. | |
| 80 | static constexpr _RealType __ln_2 = 0.6931471805599453094172321214581766L; | |
| 81 | // Constant @f$ \ln(3) @f$. | |
| 82 | static constexpr _RealType __ln_3 = 1.0986122886681096913952452369225257L; | |
| 83 | // Constant @f$ \ln(10) @f$. | |
| 84 | static constexpr _RealType __ln_10 = 2.3025850929940456840179914546843642L; | |
| 85 | ||
| 86 | // Constant Euler-Mascheroni @f$ \gamma_E @f$. | |
| 87 | static constexpr _RealType __gamma_e = 0.5772156649015328606065120900824024L; | |
| 88 | // Constant Golden Ratio @f$ \phi @f$. | |
| 89 | static constexpr _RealType __phi = 1.6180339887498948482045868343656381L; | |
| 90 | ||
| 91 | // Constant @f$ \sqrt(2) @f$. | |
| 92 | static constexpr _RealType __root_2 = 1.4142135623730950488016887242096981L; | |
| 93 | // Constant @f$ \sqrt(3) @f$. | |
| 94 | static constexpr _RealType __root_3 = 1.7320508075688772935274463415058724L; | |
| 95 | // Constant @f$ \sqrt(5) @f$. | |
| 96 | static constexpr _RealType __root_5 = 2.2360679774997896964091736687312762L; | |
| 97 | // Constant @f$ \sqrt(7) @f$. | |
| 98 | static constexpr _RealType __root_7 = 2.6457513110645905905016157536392604L; | |
| 99 | // Constant @f$ 1 / \sqrt(2) @f$. | |
| 100 | static constexpr _RealType __one_div_root_2 = 0.7071067811865475244008443621048490L; | |
| 101 | }; | |
| 102 | ||
| 103 | // And the template definitions for the constants. | |
| 104 | template<typename _RealType> | |
| 105 | constexpr _RealType __math_constants<_RealType>::__pi; | |
| 106 | template<typename _RealType> | |
| 107 | constexpr _RealType __math_constants<_RealType>::__pi_half; | |
| 108 | template<typename _RealType> | |
| 109 | constexpr _RealType __math_constants<_RealType>::__pi_third; | |
| 110 | template<typename _RealType> | |
| 111 | constexpr _RealType __math_constants<_RealType>::__pi_quarter; | |
| 112 | template<typename _RealType> | |
| 113 | constexpr _RealType __math_constants<_RealType>::__root_pi_div_2; | |
| 114 | template<typename _RealType> | |
| 115 | constexpr _RealType __math_constants<_RealType>::__one_div_pi; | |
| 116 | template<typename _RealType> | |
| 117 | constexpr _RealType __math_constants<_RealType>::__two_div_pi; | |
| 118 | template<typename _RealType> | |
| 119 | constexpr _RealType __math_constants<_RealType>::__two_div_root_pi; | |
| 120 | template<typename _RealType> | |
| 121 | constexpr _RealType __math_constants<_RealType>::__e; | |
| 122 | template<typename _RealType> | |
| 123 | constexpr _RealType __math_constants<_RealType>::__one_div_e; | |
| 124 | template<typename _RealType> | |
| 125 | constexpr _RealType __math_constants<_RealType>::__log2_e; | |
| 126 | template<typename _RealType> | |
| 127 | constexpr _RealType __math_constants<_RealType>::__log10_e; | |
| 128 | template<typename _RealType> | |
| 129 | constexpr _RealType __math_constants<_RealType>::__ln_2; | |
| 130 | template<typename _RealType> | |
| 131 | constexpr _RealType __math_constants<_RealType>::__ln_3; | |
| 132 | template<typename _RealType> | |
| 133 | constexpr _RealType __math_constants<_RealType>::__ln_10; | |
| 134 | template<typename _RealType> | |
| 135 | constexpr _RealType __math_constants<_RealType>::__gamma_e; | |
| 136 | template<typename _RealType> | |
| 137 | constexpr _RealType __math_constants<_RealType>::__phi; | |
| 138 | template<typename _RealType> | |
| 139 | constexpr _RealType __math_constants<_RealType>::__root_2; | |
| 140 | template<typename _RealType> | |
| 141 | constexpr _RealType __math_constants<_RealType>::__root_3; | |
| 142 | template<typename _RealType> | |
| 143 | constexpr _RealType __math_constants<_RealType>::__root_5; | |
| 144 | template<typename _RealType> | |
| 145 | constexpr _RealType __math_constants<_RealType>::__root_7; | |
| 146 | template<typename _RealType> | |
| 147 | constexpr _RealType __math_constants<_RealType>::__one_div_root_2; | |
| 148 | ||
| 149 | _GLIBCXX_END_NAMESPACE_VERSION | |
| 150 | } // namespace __gnu_cxx | |
| 151 | ||
| 152 | #endif // C++11 | |
| 153 | ||
| 154 | #endif // _EXT_CMATH |