| 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) |
| 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 |
