1// Math extensions -*- C++ -*- 2 3// Copyright (C) 2013-2020 Free Software Foundation, Inc. 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 34#if __cplusplus < 201103L 35# include <bits/c++0x_warning.h> 36#else 37 38#include <cmath> 39#include <type_traits> 40 41namespace __gnu_cxx _GLIBCXX_VISIBILITY(default) 42{ 43_GLIBCXX_BEGIN_NAMESPACE_VERSION 44 45 // A class for math constants. 46 template<typename _RealType> 47 struct __math_constants 48 { 49 static_assert(std::is_floating_point<_RealType>::value, 50 "template argument not a floating point type"); 51 52 // Constant @f$ \pi @f$. 53 static constexpr _RealType __pi = 3.1415926535897932384626433832795029L; 54 // Constant @f$ \pi / 2 @f$. 55 static constexpr _RealType __pi_half = 1.5707963267948966192313216916397514L; 56 // Constant @f$ \pi / 3 @f$. 57 static constexpr _RealType __pi_third = 1.0471975511965977461542144610931676L; 58 // Constant @f$ \pi / 4 @f$. 59 static constexpr _RealType __pi_quarter = 0.7853981633974483096156608458198757L; 60 // Constant @f$ \sqrt(\pi / 2) @f$. 61 static constexpr _RealType __root_pi_div_2 = 1.2533141373155002512078826424055226L; 62 // Constant @f$ 1 / \pi @f$. 63 static constexpr _RealType __one_div_pi = 0.3183098861837906715377675267450287L; 64 // Constant @f$ 2 / \pi @f$. 65 static constexpr _RealType __two_div_pi = 0.6366197723675813430755350534900574L; 66 // Constant @f$ 2 / \sqrt(\pi) @f$. 67 static constexpr _RealType __two_div_root_pi = 1.1283791670955125738961589031215452L; 68 69 // Constant Euler's number @f$ e @f$. 70 static constexpr _RealType __e = 2.7182818284590452353602874713526625L; 71 // Constant @f$ 1 / e @f$. 72 static constexpr _RealType __one_div_e = 0.36787944117144232159552377016146087L; 73 // Constant @f$ \log_2(e) @f$. 74 static constexpr _RealType __log2_e = 1.4426950408889634073599246810018921L; 75 // Constant @f$ \log_10(e) @f$. 76 static constexpr _RealType __log10_e = 0.4342944819032518276511289189166051L; 77 // Constant @f$ \ln(2) @f$. 78 static constexpr _RealType __ln_2 = 0.6931471805599453094172321214581766L; 79 // Constant @f$ \ln(3) @f$. 80 static constexpr _RealType __ln_3 = 1.0986122886681096913952452369225257L; 81 // Constant @f$ \ln(10) @f$. 82 static constexpr _RealType __ln_10 = 2.3025850929940456840179914546843642L; 83 84 // Constant Euler-Mascheroni @f$ \gamma_E @f$. 85 static constexpr _RealType __gamma_e = 0.5772156649015328606065120900824024L; 86 // Constant Golden Ratio @f$ \phi @f$. 87 static constexpr _RealType __phi = 1.6180339887498948482045868343656381L; 88 89 // Constant @f$ \sqrt(2) @f$. 90 static constexpr _RealType __root_2 = 1.4142135623730950488016887242096981L; 91 // Constant @f$ \sqrt(3) @f$. 92 static constexpr _RealType __root_3 = 1.7320508075688772935274463415058724L; 93 // Constant @f$ \sqrt(5) @f$. 94 static constexpr _RealType __root_5 = 2.2360679774997896964091736687312762L; 95 // Constant @f$ \sqrt(7) @f$. 96 static constexpr _RealType __root_7 = 2.6457513110645905905016157536392604L; 97 // Constant @f$ 1 / \sqrt(2) @f$. 98 static constexpr _RealType __one_div_root_2 = 0.7071067811865475244008443621048490L; 99 }; 100 101 // And the template definitions for the constants. 102 template<typename _RealType> 103 constexpr _RealType __math_constants<_RealType>::__pi; 104 template<typename _RealType> 105 constexpr _RealType __math_constants<_RealType>::__pi_half; 106 template<typename _RealType> 107 constexpr _RealType __math_constants<_RealType>::__pi_third; 108 template<typename _RealType> 109 constexpr _RealType __math_constants<_RealType>::__pi_quarter; 110 template<typename _RealType> 111 constexpr _RealType __math_constants<_RealType>::__root_pi_div_2; 112 template<typename _RealType> 113 constexpr _RealType __math_constants<_RealType>::__one_div_pi; 114 template<typename _RealType> 115 constexpr _RealType __math_constants<_RealType>::__two_div_pi; 116 template<typename _RealType> 117 constexpr _RealType __math_constants<_RealType>::__two_div_root_pi; 118 template<typename _RealType> 119 constexpr _RealType __math_constants<_RealType>::__e; 120 template<typename _RealType> 121 constexpr _RealType __math_constants<_RealType>::__one_div_e; 122 template<typename _RealType> 123 constexpr _RealType __math_constants<_RealType>::__log2_e; 124 template<typename _RealType> 125 constexpr _RealType __math_constants<_RealType>::__log10_e; 126 template<typename _RealType> 127 constexpr _RealType __math_constants<_RealType>::__ln_2; 128 template<typename _RealType> 129 constexpr _RealType __math_constants<_RealType>::__ln_3; 130 template<typename _RealType> 131 constexpr _RealType __math_constants<_RealType>::__ln_10; 132 template<typename _RealType> 133 constexpr _RealType __math_constants<_RealType>::__gamma_e; 134 template<typename _RealType> 135 constexpr _RealType __math_constants<_RealType>::__phi; 136 template<typename _RealType> 137 constexpr _RealType __math_constants<_RealType>::__root_2; 138 template<typename _RealType> 139 constexpr _RealType __math_constants<_RealType>::__root_3; 140 template<typename _RealType> 141 constexpr _RealType __math_constants<_RealType>::__root_5; 142 template<typename _RealType> 143 constexpr _RealType __math_constants<_RealType>::__root_7; 144 template<typename _RealType> 145 constexpr _RealType __math_constants<_RealType>::__one_div_root_2; 146 147_GLIBCXX_END_NAMESPACE_VERSION 148} // namespace __gnu_cxx 149 150#endif // C++11 151 152#endif // _EXT_CMATH 153