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1 // Math extensions -*- C++ -*-
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2
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145
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3 // Copyright (C) 2013-2020 Free Software Foundation, Inc.
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111
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4 //
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5 // This file is part of the GNU ISO C++ Library. This library is free
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6 // software; you can redistribute it and/or modify it under the
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7 // terms of the GNU General Public License as published by the
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8 // Free Software Foundation; either version 3, or (at your option)
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9 // any later version.
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10
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11 // This library is distributed in the hope that it will be useful,
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12 // but WITHOUT ANY WARRANTY; without even the implied warranty of
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13 // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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14 // GNU General Public License for more details.
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15
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16 // Under Section 7 of GPL version 3, you are granted additional
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17 // permissions described in the GCC Runtime Library Exception, version
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18 // 3.1, as published by the Free Software Foundation.
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19
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20 // You should have received a copy of the GNU General Public License and
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21 // a copy of the GCC Runtime Library Exception along with this program;
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22 // see the files COPYING3 and COPYING.RUNTIME respectively. If not, see
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23 // <http://www.gnu.org/licenses/>.
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24
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25 /** @file ext/cmath
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26 * This file is a GNU extension to the Standard C++ Library.
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27 */
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28
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29 #ifndef _EXT_CMATH
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30 #define _EXT_CMATH 1
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31
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32 #pragma GCC system_header
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33
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34 #if __cplusplus < 201103L
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35 # include <bits/c++0x_warning.h>
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36 #else
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37
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38 #include <cmath>
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39 #include <type_traits>
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40
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41 namespace __gnu_cxx _GLIBCXX_VISIBILITY(default)
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42 {
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43 _GLIBCXX_BEGIN_NAMESPACE_VERSION
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44
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45 // A class for math constants.
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46 template<typename _RealType>
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47 struct __math_constants
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48 {
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49 static_assert(std::is_floating_point<_RealType>::value,
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50 "template argument not a floating point type");
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51
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52 // Constant @f$ \pi @f$.
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53 static constexpr _RealType __pi = 3.1415926535897932384626433832795029L;
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54 // Constant @f$ \pi / 2 @f$.
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55 static constexpr _RealType __pi_half = 1.5707963267948966192313216916397514L;
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56 // Constant @f$ \pi / 3 @f$.
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57 static constexpr _RealType __pi_third = 1.0471975511965977461542144610931676L;
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58 // Constant @f$ \pi / 4 @f$.
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59 static constexpr _RealType __pi_quarter = 0.7853981633974483096156608458198757L;
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60 // Constant @f$ \sqrt(\pi / 2) @f$.
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61 static constexpr _RealType __root_pi_div_2 = 1.2533141373155002512078826424055226L;
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62 // Constant @f$ 1 / \pi @f$.
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63 static constexpr _RealType __one_div_pi = 0.3183098861837906715377675267450287L;
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64 // Constant @f$ 2 / \pi @f$.
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65 static constexpr _RealType __two_div_pi = 0.6366197723675813430755350534900574L;
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66 // Constant @f$ 2 / \sqrt(\pi) @f$.
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67 static constexpr _RealType __two_div_root_pi = 1.1283791670955125738961589031215452L;
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68
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69 // Constant Euler's number @f$ e @f$.
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70 static constexpr _RealType __e = 2.7182818284590452353602874713526625L;
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71 // Constant @f$ 1 / e @f$.
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72 static constexpr _RealType __one_div_e = 0.36787944117144232159552377016146087L;
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73 // Constant @f$ \log_2(e) @f$.
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74 static constexpr _RealType __log2_e = 1.4426950408889634073599246810018921L;
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75 // Constant @f$ \log_10(e) @f$.
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76 static constexpr _RealType __log10_e = 0.4342944819032518276511289189166051L;
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77 // Constant @f$ \ln(2) @f$.
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78 static constexpr _RealType __ln_2 = 0.6931471805599453094172321214581766L;
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79 // Constant @f$ \ln(3) @f$.
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80 static constexpr _RealType __ln_3 = 1.0986122886681096913952452369225257L;
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81 // Constant @f$ \ln(10) @f$.
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82 static constexpr _RealType __ln_10 = 2.3025850929940456840179914546843642L;
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83
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84 // Constant Euler-Mascheroni @f$ \gamma_E @f$.
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85 static constexpr _RealType __gamma_e = 0.5772156649015328606065120900824024L;
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86 // Constant Golden Ratio @f$ \phi @f$.
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87 static constexpr _RealType __phi = 1.6180339887498948482045868343656381L;
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88
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89 // Constant @f$ \sqrt(2) @f$.
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90 static constexpr _RealType __root_2 = 1.4142135623730950488016887242096981L;
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91 // Constant @f$ \sqrt(3) @f$.
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92 static constexpr _RealType __root_3 = 1.7320508075688772935274463415058724L;
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93 // Constant @f$ \sqrt(5) @f$.
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94 static constexpr _RealType __root_5 = 2.2360679774997896964091736687312762L;
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95 // Constant @f$ \sqrt(7) @f$.
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96 static constexpr _RealType __root_7 = 2.6457513110645905905016157536392604L;
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97 // Constant @f$ 1 / \sqrt(2) @f$.
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98 static constexpr _RealType __one_div_root_2 = 0.7071067811865475244008443621048490L;
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99 };
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100
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101 // And the template definitions for the constants.
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102 template<typename _RealType>
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103 constexpr _RealType __math_constants<_RealType>::__pi;
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104 template<typename _RealType>
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105 constexpr _RealType __math_constants<_RealType>::__pi_half;
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106 template<typename _RealType>
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107 constexpr _RealType __math_constants<_RealType>::__pi_third;
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108 template<typename _RealType>
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109 constexpr _RealType __math_constants<_RealType>::__pi_quarter;
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110 template<typename _RealType>
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111 constexpr _RealType __math_constants<_RealType>::__root_pi_div_2;
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112 template<typename _RealType>
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113 constexpr _RealType __math_constants<_RealType>::__one_div_pi;
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114 template<typename _RealType>
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115 constexpr _RealType __math_constants<_RealType>::__two_div_pi;
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116 template<typename _RealType>
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117 constexpr _RealType __math_constants<_RealType>::__two_div_root_pi;
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118 template<typename _RealType>
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119 constexpr _RealType __math_constants<_RealType>::__e;
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120 template<typename _RealType>
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121 constexpr _RealType __math_constants<_RealType>::__one_div_e;
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122 template<typename _RealType>
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123 constexpr _RealType __math_constants<_RealType>::__log2_e;
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124 template<typename _RealType>
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125 constexpr _RealType __math_constants<_RealType>::__log10_e;
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126 template<typename _RealType>
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127 constexpr _RealType __math_constants<_RealType>::__ln_2;
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128 template<typename _RealType>
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129 constexpr _RealType __math_constants<_RealType>::__ln_3;
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130 template<typename _RealType>
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131 constexpr _RealType __math_constants<_RealType>::__ln_10;
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132 template<typename _RealType>
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133 constexpr _RealType __math_constants<_RealType>::__gamma_e;
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134 template<typename _RealType>
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135 constexpr _RealType __math_constants<_RealType>::__phi;
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136 template<typename _RealType>
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137 constexpr _RealType __math_constants<_RealType>::__root_2;
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138 template<typename _RealType>
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139 constexpr _RealType __math_constants<_RealType>::__root_3;
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140 template<typename _RealType>
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141 constexpr _RealType __math_constants<_RealType>::__root_5;
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142 template<typename _RealType>
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143 constexpr _RealType __math_constants<_RealType>::__root_7;
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144 template<typename _RealType>
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145 constexpr _RealType __math_constants<_RealType>::__one_div_root_2;
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146
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147 _GLIBCXX_END_NAMESPACE_VERSION
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148 } // namespace __gnu_cxx
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149
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150 #endif // C++11
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151
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152 #endif // _EXT_CMATH
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