1*38fd1498Szrj// Math extensions -*- C++ -*- 2*38fd1498Szrj 3*38fd1498Szrj// Copyright (C) 2013-2018 Free Software Foundation, Inc. 4*38fd1498Szrj// 5*38fd1498Szrj// This file is part of the GNU ISO C++ Library. This library is free 6*38fd1498Szrj// software; you can redistribute it and/or modify it under the 7*38fd1498Szrj// terms of the GNU General Public License as published by the 8*38fd1498Szrj// Free Software Foundation; either version 3, or (at your option) 9*38fd1498Szrj// any later version. 10*38fd1498Szrj 11*38fd1498Szrj// This library is distributed in the hope that it will be useful, 12*38fd1498Szrj// but WITHOUT ANY WARRANTY; without even the implied warranty of 13*38fd1498Szrj// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the 14*38fd1498Szrj// GNU General Public License for more details. 15*38fd1498Szrj 16*38fd1498Szrj// Under Section 7 of GPL version 3, you are granted additional 17*38fd1498Szrj// permissions described in the GCC Runtime Library Exception, version 18*38fd1498Szrj// 3.1, as published by the Free Software Foundation. 19*38fd1498Szrj 20*38fd1498Szrj// You should have received a copy of the GNU General Public License and 21*38fd1498Szrj// a copy of the GCC Runtime Library Exception along with this program; 22*38fd1498Szrj// see the files COPYING3 and COPYING.RUNTIME respectively. If not, see 23*38fd1498Szrj// <http://www.gnu.org/licenses/>. 24*38fd1498Szrj 25*38fd1498Szrj/** @file ext/cmath 26*38fd1498Szrj * This file is a GNU extension to the Standard C++ Library. 27*38fd1498Szrj */ 28*38fd1498Szrj 29*38fd1498Szrj#ifndef _EXT_CMATH 30*38fd1498Szrj#define _EXT_CMATH 1 31*38fd1498Szrj 32*38fd1498Szrj#pragma GCC system_header 33*38fd1498Szrj 34*38fd1498Szrj#if __cplusplus < 201103L 35*38fd1498Szrj# include <bits/c++0x_warning.h> 36*38fd1498Szrj#else 37*38fd1498Szrj 38*38fd1498Szrj#include <cmath> 39*38fd1498Szrj#include <type_traits> 40*38fd1498Szrj 41*38fd1498Szrjnamespace __gnu_cxx _GLIBCXX_VISIBILITY(default) 42*38fd1498Szrj{ 43*38fd1498Szrj_GLIBCXX_BEGIN_NAMESPACE_VERSION 44*38fd1498Szrj 45*38fd1498Szrj // A class for math constants. 46*38fd1498Szrj template<typename _RealType> 47*38fd1498Szrj struct __math_constants 48*38fd1498Szrj { 49*38fd1498Szrj static_assert(std::is_floating_point<_RealType>::value, 50*38fd1498Szrj "template argument not a floating point type"); 51*38fd1498Szrj 52*38fd1498Szrj // Constant @f$ \pi @f$. 53*38fd1498Szrj static constexpr _RealType __pi = 3.1415926535897932384626433832795029L; 54*38fd1498Szrj // Constant @f$ \pi / 2 @f$. 55*38fd1498Szrj static constexpr _RealType __pi_half = 1.5707963267948966192313216916397514L; 56*38fd1498Szrj // Constant @f$ \pi / 3 @f$. 57*38fd1498Szrj static constexpr _RealType __pi_third = 1.0471975511965977461542144610931676L; 58*38fd1498Szrj // Constant @f$ \pi / 4 @f$. 59*38fd1498Szrj static constexpr _RealType __pi_quarter = 0.7853981633974483096156608458198757L; 60*38fd1498Szrj // Constant @f$ \sqrt(\pi / 2) @f$. 61*38fd1498Szrj static constexpr _RealType __root_pi_div_2 = 1.2533141373155002512078826424055226L; 62*38fd1498Szrj // Constant @f$ 1 / \pi @f$. 63*38fd1498Szrj static constexpr _RealType __one_div_pi = 0.3183098861837906715377675267450287L; 64*38fd1498Szrj // Constant @f$ 2 / \pi @f$. 65*38fd1498Szrj static constexpr _RealType __two_div_pi = 0.6366197723675813430755350534900574L; 66*38fd1498Szrj // Constant @f$ 2 / \sqrt(\pi) @f$. 67*38fd1498Szrj static constexpr _RealType __two_div_root_pi = 1.1283791670955125738961589031215452L; 68*38fd1498Szrj 69*38fd1498Szrj // Constant Euler's number @f$ e @f$. 70*38fd1498Szrj static constexpr _RealType __e = 2.7182818284590452353602874713526625L; 71*38fd1498Szrj // Constant @f$ 1 / e @f$. 72*38fd1498Szrj static constexpr _RealType __one_div_e = 0.36787944117144232159552377016146087L; 73*38fd1498Szrj // Constant @f$ \log_2(e) @f$. 74*38fd1498Szrj static constexpr _RealType __log2_e = 1.4426950408889634073599246810018921L; 75*38fd1498Szrj // Constant @f$ \log_10(e) @f$. 76*38fd1498Szrj static constexpr _RealType __log10_e = 0.4342944819032518276511289189166051L; 77*38fd1498Szrj // Constant @f$ \ln(2) @f$. 78*38fd1498Szrj static constexpr _RealType __ln_2 = 0.6931471805599453094172321214581766L; 79*38fd1498Szrj // Constant @f$ \ln(3) @f$. 80*38fd1498Szrj static constexpr _RealType __ln_3 = 1.0986122886681096913952452369225257L; 81*38fd1498Szrj // Constant @f$ \ln(10) @f$. 82*38fd1498Szrj static constexpr _RealType __ln_10 = 2.3025850929940456840179914546843642L; 83*38fd1498Szrj 84*38fd1498Szrj // Constant Euler-Mascheroni @f$ \gamma_E @f$. 85*38fd1498Szrj static constexpr _RealType __gamma_e = 0.5772156649015328606065120900824024L; 86*38fd1498Szrj // Constant Golden Ratio @f$ \phi @f$. 87*38fd1498Szrj static constexpr _RealType __phi = 1.6180339887498948482045868343656381L; 88*38fd1498Szrj 89*38fd1498Szrj // Constant @f$ \sqrt(2) @f$. 90*38fd1498Szrj static constexpr _RealType __root_2 = 1.4142135623730950488016887242096981L; 91*38fd1498Szrj // Constant @f$ \sqrt(3) @f$. 92*38fd1498Szrj static constexpr _RealType __root_3 = 1.7320508075688772935274463415058724L; 93*38fd1498Szrj // Constant @f$ \sqrt(5) @f$. 94*38fd1498Szrj static constexpr _RealType __root_5 = 2.2360679774997896964091736687312762L; 95*38fd1498Szrj // Constant @f$ \sqrt(7) @f$. 96*38fd1498Szrj static constexpr _RealType __root_7 = 2.6457513110645905905016157536392604L; 97*38fd1498Szrj // Constant @f$ 1 / \sqrt(2) @f$. 98*38fd1498Szrj static constexpr _RealType __one_div_root_2 = 0.7071067811865475244008443621048490L; 99*38fd1498Szrj }; 100*38fd1498Szrj 101*38fd1498Szrj // And the template definitions for the constants. 102*38fd1498Szrj template<typename _RealType> 103*38fd1498Szrj constexpr _RealType __math_constants<_RealType>::__pi; 104*38fd1498Szrj template<typename _RealType> 105*38fd1498Szrj constexpr _RealType __math_constants<_RealType>::__pi_half; 106*38fd1498Szrj template<typename _RealType> 107*38fd1498Szrj constexpr _RealType __math_constants<_RealType>::__pi_third; 108*38fd1498Szrj template<typename _RealType> 109*38fd1498Szrj constexpr _RealType __math_constants<_RealType>::__pi_quarter; 110*38fd1498Szrj template<typename _RealType> 111*38fd1498Szrj constexpr _RealType __math_constants<_RealType>::__root_pi_div_2; 112*38fd1498Szrj template<typename _RealType> 113*38fd1498Szrj constexpr _RealType __math_constants<_RealType>::__one_div_pi; 114*38fd1498Szrj template<typename _RealType> 115*38fd1498Szrj constexpr _RealType __math_constants<_RealType>::__two_div_pi; 116*38fd1498Szrj template<typename _RealType> 117*38fd1498Szrj constexpr _RealType __math_constants<_RealType>::__two_div_root_pi; 118*38fd1498Szrj template<typename _RealType> 119*38fd1498Szrj constexpr _RealType __math_constants<_RealType>::__e; 120*38fd1498Szrj template<typename _RealType> 121*38fd1498Szrj constexpr _RealType __math_constants<_RealType>::__one_div_e; 122*38fd1498Szrj template<typename _RealType> 123*38fd1498Szrj constexpr _RealType __math_constants<_RealType>::__log2_e; 124*38fd1498Szrj template<typename _RealType> 125*38fd1498Szrj constexpr _RealType __math_constants<_RealType>::__log10_e; 126*38fd1498Szrj template<typename _RealType> 127*38fd1498Szrj constexpr _RealType __math_constants<_RealType>::__ln_2; 128*38fd1498Szrj template<typename _RealType> 129*38fd1498Szrj constexpr _RealType __math_constants<_RealType>::__ln_3; 130*38fd1498Szrj template<typename _RealType> 131*38fd1498Szrj constexpr _RealType __math_constants<_RealType>::__ln_10; 132*38fd1498Szrj template<typename _RealType> 133*38fd1498Szrj constexpr _RealType __math_constants<_RealType>::__gamma_e; 134*38fd1498Szrj template<typename _RealType> 135*38fd1498Szrj constexpr _RealType __math_constants<_RealType>::__phi; 136*38fd1498Szrj template<typename _RealType> 137*38fd1498Szrj constexpr _RealType __math_constants<_RealType>::__root_2; 138*38fd1498Szrj template<typename _RealType> 139*38fd1498Szrj constexpr _RealType __math_constants<_RealType>::__root_3; 140*38fd1498Szrj template<typename _RealType> 141*38fd1498Szrj constexpr _RealType __math_constants<_RealType>::__root_5; 142*38fd1498Szrj template<typename _RealType> 143*38fd1498Szrj constexpr _RealType __math_constants<_RealType>::__root_7; 144*38fd1498Szrj template<typename _RealType> 145*38fd1498Szrj constexpr _RealType __math_constants<_RealType>::__one_div_root_2; 146*38fd1498Szrj 147*38fd1498Szrj_GLIBCXX_END_NAMESPACE_VERSION 148*38fd1498Szrj} // namespace __gnu_cxx 149*38fd1498Szrj 150*38fd1498Szrj#endif // C++11 151*38fd1498Szrj 152*38fd1498Szrj#endif // _EXT_CMATH 153