numbers 6.8 KB

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  1. // -*- C++ -*-
  2. //===----------------------------------------------------------------------===//
  3. //
  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
  7. //
  8. //===----------------------------------------------------------------------===//
  9. #ifndef _LIBCPP_NUMBERS
  10. #define _LIBCPP_NUMBERS
  11. /*
  12. numbers synopsis
  13. namespace std::numbers {
  14. template<class T> inline constexpr T e_v = unspecified;
  15. template<class T> inline constexpr T log2e_v = unspecified;
  16. template<class T> inline constexpr T log10e_v = unspecified;
  17. template<class T> inline constexpr T pi_v = unspecified;
  18. template<class T> inline constexpr T inv_pi_v = unspecified;
  19. template<class T> inline constexpr T inv_sqrtpi_v = unspecified;
  20. template<class T> inline constexpr T ln2_v = unspecified;
  21. template<class T> inline constexpr T ln10_v = unspecified;
  22. template<class T> inline constexpr T sqrt2_v = unspecified;
  23. template<class T> inline constexpr T sqrt3_v = unspecified;
  24. template<class T> inline constexpr T inv_sqrt3_v = unspecified;
  25. template<class T> inline constexpr T egamma_v = unspecified;
  26. template<class T> inline constexpr T phi_v = unspecified;
  27. template<floating_point T> inline constexpr T e_v<T> = see below;
  28. template<floating_point T> inline constexpr T log2e_v<T> = see below;
  29. template<floating_point T> inline constexpr T log10e_v<T> = see below;
  30. template<floating_point T> inline constexpr T pi_v<T> = see below;
  31. template<floating_point T> inline constexpr T inv_pi_v<T> = see below;
  32. template<floating_point T> inline constexpr T inv_sqrtpi_v<T> = see below;
  33. template<floating_point T> inline constexpr T ln2_v<T> = see below;
  34. template<floating_point T> inline constexpr T ln10_v<T> = see below;
  35. template<floating_point T> inline constexpr T sqrt2_v<T> = see below;
  36. template<floating_point T> inline constexpr T sqrt3_v<T> = see below;
  37. template<floating_point T> inline constexpr T inv_sqrt3_v<T> = see below;
  38. template<floating_point T> inline constexpr T egamma_v<T> = see below;
  39. template<floating_point T> inline constexpr T phi_v<T> = see below;
  40. inline constexpr double e = e_v<double>;
  41. inline constexpr double log2e = log2e_v<double>;
  42. inline constexpr double log10e = log10e_v<double>;
  43. inline constexpr double pi = pi_v<double>;
  44. inline constexpr double inv_pi = inv_pi_v<double>;
  45. inline constexpr double inv_sqrtpi = inv_sqrtpi_v<double>;
  46. inline constexpr double ln2 = ln2_v<double>;
  47. inline constexpr double ln10 = ln10_v<double>;
  48. inline constexpr double sqrt2 = sqrt2_v<double>;
  49. inline constexpr double sqrt3 = sqrt3_v<double>;
  50. inline constexpr double inv_sqrt3 = inv_sqrt3_v<double>;
  51. inline constexpr double egamma = egamma_v<double>;
  52. inline constexpr double phi = phi_v<double>;
  53. }
  54. */
  55. #include <__assert> // all public C++ headers provide the assertion handler
  56. #include <__concepts/arithmetic.h>
  57. #include <__config>
  58. #include <version>
  59. #if _LIBCPP_STD_VER >= 20
  60. #if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER)
  61. # pragma GCC system_header
  62. #endif
  63. _LIBCPP_BEGIN_NAMESPACE_STD
  64. namespace numbers {
  65. template <class _Tp>
  66. inline constexpr bool __false = false;
  67. template <class _Tp>
  68. struct __illformed
  69. {
  70. static_assert(__false<_Tp>, "A program that instantiates a primary template of a mathematical constant variable template is ill-formed.");
  71. };
  72. template <class _Tp> inline constexpr _Tp e_v = __illformed<_Tp>{};
  73. template <class _Tp> inline constexpr _Tp log2e_v = __illformed<_Tp>{};
  74. template <class _Tp> inline constexpr _Tp log10e_v = __illformed<_Tp>{};
  75. template <class _Tp> inline constexpr _Tp pi_v = __illformed<_Tp>{};
  76. template <class _Tp> inline constexpr _Tp inv_pi_v = __illformed<_Tp>{};
  77. template <class _Tp> inline constexpr _Tp inv_sqrtpi_v = __illformed<_Tp>{};
  78. template <class _Tp> inline constexpr _Tp ln2_v = __illformed<_Tp>{};
  79. template <class _Tp> inline constexpr _Tp ln10_v = __illformed<_Tp>{};
  80. template <class _Tp> inline constexpr _Tp sqrt2_v = __illformed<_Tp>{};
  81. template <class _Tp> inline constexpr _Tp sqrt3_v = __illformed<_Tp>{};
  82. template <class _Tp> inline constexpr _Tp inv_sqrt3_v = __illformed<_Tp>{};
  83. template <class _Tp> inline constexpr _Tp egamma_v = __illformed<_Tp>{};
  84. template <class _Tp> inline constexpr _Tp phi_v = __illformed<_Tp>{};
  85. template <floating_point _Tp> inline constexpr _Tp e_v<_Tp> = 2.718281828459045235360287471352662;
  86. template <floating_point _Tp> inline constexpr _Tp log2e_v<_Tp> = 1.442695040888963407359924681001892;
  87. template <floating_point _Tp> inline constexpr _Tp log10e_v<_Tp> = 0.434294481903251827651128918916605;
  88. template <floating_point _Tp> inline constexpr _Tp pi_v<_Tp> = 3.141592653589793238462643383279502;
  89. template <floating_point _Tp> inline constexpr _Tp inv_pi_v<_Tp> = 0.318309886183790671537767526745028;
  90. template <floating_point _Tp> inline constexpr _Tp inv_sqrtpi_v<_Tp> = 0.564189583547756286948079451560772;
  91. template <floating_point _Tp> inline constexpr _Tp ln2_v<_Tp> = 0.693147180559945309417232121458176;
  92. template <floating_point _Tp> inline constexpr _Tp ln10_v<_Tp> = 2.302585092994045684017991454684364;
  93. template <floating_point _Tp> inline constexpr _Tp sqrt2_v<_Tp> = 1.414213562373095048801688724209698;
  94. template <floating_point _Tp> inline constexpr _Tp sqrt3_v<_Tp> = 1.732050807568877293527446341505872;
  95. template <floating_point _Tp> inline constexpr _Tp inv_sqrt3_v<_Tp> = 0.577350269189625764509148780501957;
  96. template <floating_point _Tp> inline constexpr _Tp egamma_v<_Tp> = 0.577215664901532860606512090082402;
  97. template <floating_point _Tp> inline constexpr _Tp phi_v<_Tp> = 1.618033988749894848204586834365638;
  98. inline constexpr double e = e_v<double>;
  99. inline constexpr double log2e = log2e_v<double>;
  100. inline constexpr double log10e = log10e_v<double>;
  101. inline constexpr double pi = pi_v<double>;
  102. inline constexpr double inv_pi = inv_pi_v<double>;
  103. inline constexpr double inv_sqrtpi = inv_sqrtpi_v<double>;
  104. inline constexpr double ln2 = ln2_v<double>;
  105. inline constexpr double ln10 = ln10_v<double>;
  106. inline constexpr double sqrt2 = sqrt2_v<double>;
  107. inline constexpr double sqrt3 = sqrt3_v<double>;
  108. inline constexpr double inv_sqrt3 = inv_sqrt3_v<double>;
  109. inline constexpr double egamma = egamma_v<double>;
  110. inline constexpr double phi = phi_v<double>;
  111. } // namespace numbers
  112. _LIBCPP_END_NAMESPACE_STD
  113. #endif // _LIBCPP_STD_VER >= 20
  114. #if !defined(_LIBCPP_REMOVE_TRANSITIVE_INCLUDES) && _LIBCPP_STD_VER <= 20
  115. # include <concepts>
  116. # include <type_traits>
  117. #endif
  118. #endif // _LIBCPP_NUMBERS