2 //===----------------------------------------------------------------------===//
4 // Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
5 // See https://llvm.org/LICENSE.txt for license information.
6 // SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
8 //===----------------------------------------------------------------------===//
10 #ifndef _LIBCPP_NUMBERS
11 #define _LIBCPP_NUMBERS
16 namespace std::numbers {
17 template<class T> inline constexpr T e_v = unspecified;
18 template<class T> inline constexpr T log2e_v = unspecified;
19 template<class T> inline constexpr T log10e_v = unspecified;
20 template<class T> inline constexpr T pi_v = unspecified;
21 template<class T> inline constexpr T inv_pi_v = unspecified;
22 template<class T> inline constexpr T inv_sqrtpi_v = unspecified;
23 template<class T> inline constexpr T ln2_v = unspecified;
24 template<class T> inline constexpr T ln10_v = unspecified;
25 template<class T> inline constexpr T sqrt2_v = unspecified;
26 template<class T> inline constexpr T sqrt3_v = unspecified;
27 template<class T> inline constexpr T inv_sqrt3_v = unspecified;
28 template<class T> inline constexpr T egamma_v = unspecified;
29 template<class T> inline constexpr T phi_v = unspecified;
31 template<floating_point T> inline constexpr T e_v<T> = see below;
32 template<floating_point T> inline constexpr T log2e_v<T> = see below;
33 template<floating_point T> inline constexpr T log10e_v<T> = see below;
34 template<floating_point T> inline constexpr T pi_v<T> = see below;
35 template<floating_point T> inline constexpr T inv_pi_v<T> = see below;
36 template<floating_point T> inline constexpr T inv_sqrtpi_v<T> = see below;
37 template<floating_point T> inline constexpr T ln2_v<T> = see below;
38 template<floating_point T> inline constexpr T ln10_v<T> = see below;
39 template<floating_point T> inline constexpr T sqrt2_v<T> = see below;
40 template<floating_point T> inline constexpr T sqrt3_v<T> = see below;
41 template<floating_point T> inline constexpr T inv_sqrt3_v<T> = see below;
42 template<floating_point T> inline constexpr T egamma_v<T> = see below;
43 template<floating_point T> inline constexpr T phi_v<T> = see below;
45 inline constexpr double e = e_v<double>;
46 inline constexpr double log2e = log2e_v<double>;
47 inline constexpr double log10e = log10e_v<double>;
48 inline constexpr double pi = pi_v<double>;
49 inline constexpr double inv_pi = inv_pi_v<double>;
50 inline constexpr double inv_sqrtpi = inv_sqrtpi_v<double>;
51 inline constexpr double ln2 = ln2_v<double>;
52 inline constexpr double ln10 = ln10_v<double>;
53 inline constexpr double sqrt2 = sqrt2_v<double>;
54 inline constexpr double sqrt3 = sqrt3_v<double>;
55 inline constexpr double inv_sqrt3 = inv_sqrt3_v<double>;
56 inline constexpr double egamma = egamma_v<double>;
57 inline constexpr double phi = phi_v<double>;
61 #include <__concepts/arithmetic.h>
65 #if _LIBCPP_STD_VER >= 20
67 # if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER)
68 # pragma GCC system_header
71 _LIBCPP_BEGIN_NAMESPACE_STD
76 inline constexpr bool __false = false;
82 "A program that instantiates a primary template of a mathematical constant variable template is ill-formed.");
86 inline constexpr _Tp e_v = __illformed<_Tp>{};
88 inline constexpr _Tp log2e_v = __illformed<_Tp>{};
90 inline constexpr _Tp log10e_v = __illformed<_Tp>{};
92 inline constexpr _Tp pi_v = __illformed<_Tp>{};
94 inline constexpr _Tp inv_pi_v = __illformed<_Tp>{};
96 inline constexpr _Tp inv_sqrtpi_v = __illformed<_Tp>{};
98 inline constexpr _Tp ln2_v = __illformed<_Tp>{};
100 inline constexpr _Tp ln10_v = __illformed<_Tp>{};
102 inline constexpr _Tp sqrt2_v = __illformed<_Tp>{};
104 inline constexpr _Tp sqrt3_v = __illformed<_Tp>{};
106 inline constexpr _Tp inv_sqrt3_v = __illformed<_Tp>{};
108 inline constexpr _Tp egamma_v = __illformed<_Tp>{};
110 inline constexpr _Tp phi_v = __illformed<_Tp>{};
112 template <floating_point _Tp>
113 inline constexpr _Tp e_v<_Tp> = 2.718281828459045235360287471352662;
114 template <floating_point _Tp>
115 inline constexpr _Tp log2e_v<_Tp> = 1.442695040888963407359924681001892;
116 template <floating_point _Tp>
117 inline constexpr _Tp log10e_v<_Tp> = 0.434294481903251827651128918916605;
118 template <floating_point _Tp>
119 inline constexpr _Tp pi_v<_Tp> = 3.141592653589793238462643383279502;
120 template <floating_point _Tp>
121 inline constexpr _Tp inv_pi_v<_Tp> = 0.318309886183790671537767526745028;
122 template <floating_point _Tp>
123 inline constexpr _Tp inv_sqrtpi_v<_Tp> = 0.564189583547756286948079451560772;
124 template <floating_point _Tp>
125 inline constexpr _Tp ln2_v<_Tp> = 0.693147180559945309417232121458176;
126 template <floating_point _Tp>
127 inline constexpr _Tp ln10_v<_Tp> = 2.302585092994045684017991454684364;
128 template <floating_point _Tp>
129 inline constexpr _Tp sqrt2_v<_Tp> = 1.414213562373095048801688724209698;
130 template <floating_point _Tp>
131 inline constexpr _Tp sqrt3_v<_Tp> = 1.732050807568877293527446341505872;
132 template <floating_point _Tp>
133 inline constexpr _Tp inv_sqrt3_v<_Tp> = 0.577350269189625764509148780501957;
134 template <floating_point _Tp>
135 inline constexpr _Tp egamma_v<_Tp> = 0.577215664901532860606512090082402;
136 template <floating_point _Tp>
137 inline constexpr _Tp phi_v<_Tp> = 1.618033988749894848204586834365638;
139 inline constexpr double e = e_v<double>;
140 inline constexpr double log2e = log2e_v<double>;
141 inline constexpr double log10e = log10e_v<double>;
142 inline constexpr double pi = pi_v<double>;
143 inline constexpr double inv_pi = inv_pi_v<double>;
144 inline constexpr double inv_sqrtpi = inv_sqrtpi_v<double>;
145 inline constexpr double ln2 = ln2_v<double>;
146 inline constexpr double ln10 = ln10_v<double>;
147 inline constexpr double sqrt2 = sqrt2_v<double>;
148 inline constexpr double sqrt3 = sqrt3_v<double>;
149 inline constexpr double inv_sqrt3 = inv_sqrt3_v<double>;
150 inline constexpr double egamma = egamma_v<double>;
151 inline constexpr double phi = phi_v<double>;
153 } // namespace numbers
155 _LIBCPP_END_NAMESPACE_STD
157 #endif // _LIBCPP_STD_VER >= 20
159 #if !defined(_LIBCPP_REMOVE_TRANSITIVE_INCLUDES) && _LIBCPP_STD_VER <= 20
162 # include <type_traits>
165 #endif // _LIBCPP_NUMBERS