1 | // Math extensions -*- C++ -*- |
2 | |
3 | // Copyright (C) 2013-2018 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 | |
41 | namespace __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 | |