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1 | // <numbers> -*- C++ -*- |
2 | ||
8d9254fc | 3 | // Copyright (C) 2019-2020 Free Software Foundation, Inc. |
960b9ae0 JW |
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 | ||
a38b51bc JW |
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 | ||
960b9ae0 JW |
202 | } // namespace numbers |
203 | /// @} | |
204 | _GLIBCXX_END_NAMESPACE_VERSION | |
205 | } // namespace std | |
206 | ||
207 | #endif // C++20 | |
208 | #endif // _GLIBCXX_NUMBERS |