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The C and C++ Include Header Files
/usr/include/c++/11/numbers
$ cat -n /usr/include/c++/11/numbers 1 // <numbers> -*- C++ -*- 2 3 // Copyright (C) 2019-2021 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 include/numbers 26 * This is a Standard C++ Library header. 27 */ 28 29 #ifndef _GLIBCXX_NUMBERS 30 #define _GLIBCXX_NUMBERS 1 31 32 #pragma GCC system_header 33 34 #if __cplusplus > 201703L 35 36 #include <type_traits> 37 38 namespace std _GLIBCXX_VISIBILITY(default) 39 { 40 _GLIBCXX_BEGIN_NAMESPACE_VERSION 41 42 /** @defgroup math_constants Mathematical constants 43 * @ingroup numerics 44 * @{ 45 */ 46 47 /// Namespace for mathematical constants 48 namespace numbers 49 { 50 #define __cpp_lib_math_constants 201907L 51 52 /// @cond undoc 53 template<typename _Tp> 54 using _Enable_if_floating = enable_if_t<is_floating_point_v<_Tp>, _Tp>; 55 /// @endcond 56 57 /// e 58 template<typename _Tp> 59 inline constexpr _Tp e_v 60 = _Enable_if_floating<_Tp>(2.718281828459045235360287471352662498L); 61 62 /// log_2 e 63 template<typename _Tp> 64 inline constexpr _Tp log2e_v 65 = _Enable_if_floating<_Tp>(1.442695040888963407359924681001892137L); 66 67 /// log_10 e 68 template<typename _Tp> 69 inline constexpr _Tp log10e_v 70 = _Enable_if_floating<_Tp>(0.434294481903251827651128918916605082L); 71 72 /// pi 73 template<typename _Tp> 74 inline constexpr _Tp pi_v 75 = _Enable_if_floating<_Tp>(3.141592653589793238462643383279502884L); 76 77 /// 1/pi 78 template<typename _Tp> 79 inline constexpr _Tp inv_pi_v 80 = _Enable_if_floating<_Tp>(0.318309886183790671537767526745028724L); 81 82 /// 1/sqrt(pi) 83 template<typename _Tp> 84 inline constexpr _Tp inv_sqrtpi_v 85 = _Enable_if_floating<_Tp>(0.564189583547756286948079451560772586L); 86 87 /// log_e 2 88 template<typename _Tp> 89 inline constexpr _Tp ln2_v 90 = _Enable_if_floating<_Tp>(0.693147180559945309417232121458176568L); 91 92 /// log_e 10 93 template<typename _Tp> 94 inline constexpr _Tp ln10_v 95 = _Enable_if_floating<_Tp>(2.302585092994045684017991454684364208L); 96 97 /// sqrt(2) 98 template<typename _Tp> 99 inline constexpr _Tp sqrt2_v 100 = _Enable_if_floating<_Tp>(1.414213562373095048801688724209698079L); 101 102 /// sqrt(3) 103 template<typename _Tp> 104 inline constexpr _Tp sqrt3_v 105 = _Enable_if_floating<_Tp>(1.732050807568877293527446341505872367L); 106 107 /// 1/sqrt(3) 108 template<typename _Tp> 109 inline constexpr _Tp inv_sqrt3_v 110 = _Enable_if_floating<_Tp>(0.577350269189625764509148780501957456L); 111 112 /// The Euler-Mascheroni constant 113 template<typename _Tp> 114 inline constexpr _Tp egamma_v 115 = _Enable_if_floating<_Tp>(0.577215664901532860606512090082402431L); 116 117 /// The golden ratio, (1+sqrt(5))/2 118 template<typename _Tp> 119 inline constexpr _Tp phi_v 120 = _Enable_if_floating<_Tp>(1.618033988749894848204586834365638118L); 121 122 inline constexpr double e = e_v<double>; 123 inline constexpr double log2e = log2e_v<double>; 124 inline constexpr double log10e = log10e_v<double>; 125 inline constexpr double pi = pi_v<double>; 126 inline constexpr double inv_pi = inv_pi_v<double>; 127 inline constexpr double inv_sqrtpi = inv_sqrtpi_v<double>; 128 inline constexpr double ln2 = ln2_v<double>; 129 inline constexpr double ln10 = ln10_v<double>; 130 inline constexpr double sqrt2 = sqrt2_v<double>; 131 inline constexpr double sqrt3 = sqrt3_v<double>; 132 inline constexpr double inv_sqrt3 = inv_sqrt3_v<double>; 133 inline constexpr double egamma = egamma_v<double>; 134 inline constexpr double phi = phi_v<double>; 135 136 #if !defined(__STRICT_ANSI__) && defined(_GLIBCXX_USE_FLOAT128) && !defined(__CUDACC__) 137 template<> 138 inline constexpr __float128 e_v<__float128> 139 = 2.718281828459045235360287471352662498Q; 140 141 /// log_2 e 142 template<> 143 inline constexpr __float128 log2e_v<__float128> 144 = 1.442695040888963407359924681001892137Q; 145 146 /// log_10 e 147 template<> 148 inline constexpr __float128 log10e_v<__float128> 149 = 0.434294481903251827651128918916605082Q; 150 151 /// pi 152 template<> 153 inline constexpr __float128 pi_v<__float128> 154 = 3.141592653589793238462643383279502884Q; 155 156 /// 1/pi 157 template<> 158 inline constexpr __float128 inv_pi_v<__float128> 159 = 0.318309886183790671537767526745028724Q; 160 161 /// 1/sqrt(pi) 162 template<> 163 inline constexpr __float128 inv_sqrtpi_v<__float128> 164 = 0.564189583547756286948079451560772586Q; 165 166 /// log_e 2 167 template<> 168 inline constexpr __float128 ln2_v<__float128> 169 = 0.693147180559945309417232121458176568Q; 170 171 /// log_e 10 172 template<> 173 inline constexpr __float128 ln10_v<__float128> 174 = 2.302585092994045684017991454684364208Q; 175 176 /// sqrt(2) 177 template<> 178 inline constexpr __float128 sqrt2_v<__float128> 179 = 1.414213562373095048801688724209698079Q; 180 181 /// sqrt(3) 182 template<> 183 inline constexpr __float128 sqrt3_v<__float128> 184 = 1.732050807568877293527446341505872367Q; 185 186 /// 1/sqrt(3) 187 template<> 188 inline constexpr __float128 inv_sqrt3_v<__float128> 189 = 0.577350269189625764509148780501957456Q; 190 191 /// The Euler-Mascheroni constant 192 template<> 193 inline constexpr __float128 egamma_v<__float128> 194 = 0.577215664901532860606512090082402431Q; 195 196 /// The golden ratio, (1+sqrt(5))/2 197 template<> 198 inline constexpr __float128 phi_v<__float128> 199 = 1.618033988749894848204586834365638118Q; 200 #endif // USE_FLOAT128 201 202 } // namespace numbers 203 /// @} 204 _GLIBCXX_END_NAMESPACE_VERSION 205 } // namespace std 206 207 #endif // C++20 208 #endif // _GLIBCXX_NUMBERS
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