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// -*- C++ -*- 
//===---------------------------- numbers ---------------------------------===// 
// 
// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions. 
// See https://llvm.org/LICENSE.txt for license information. 
// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception 
// 
//===----------------------------------------------------------------------===// 
 
#ifndef _LIBCPP_NUMBERS 
#define _LIBCPP_NUMBERS 
 
/* 
    numbers synopsis 
 
namespace std::numbers { 
  template<class T> inline constexpr T e_v          = unspecified; 
  template<class T> inline constexpr T log2e_v      = unspecified; 
  template<class T> inline constexpr T log10e_v     = unspecified; 
  template<class T> inline constexpr T pi_v         = unspecified; 
  template<class T> inline constexpr T inv_pi_v     = unspecified; 
  template<class T> inline constexpr T inv_sqrtpi_v = unspecified; 
  template<class T> inline constexpr T ln2_v        = unspecified; 
  template<class T> inline constexpr T ln10_v       = unspecified; 
  template<class T> inline constexpr T sqrt2_v      = unspecified; 
  template<class T> inline constexpr T sqrt3_v      = unspecified; 
  template<class T> inline constexpr T inv_sqrt3_v  = unspecified; 
  template<class T> inline constexpr T egamma_v     = unspecified; 
  template<class T> inline constexpr T phi_v        = unspecified; 
 
  template<floating_point T> inline constexpr T e_v<T>          = see below; 
  template<floating_point T> inline constexpr T log2e_v<T>      = see below; 
  template<floating_point T> inline constexpr T log10e_v<T>     = see below; 
  template<floating_point T> inline constexpr T pi_v<T>         = see below; 
  template<floating_point T> inline constexpr T inv_pi_v<T>     = see below; 
  template<floating_point T> inline constexpr T inv_sqrtpi_v<T> = see below; 
  template<floating_point T> inline constexpr T ln2_v<T>        = see below; 
  template<floating_point T> inline constexpr T ln10_v<T>       = see below; 
  template<floating_point T> inline constexpr T sqrt2_v<T>      = see below; 
  template<floating_point T> inline constexpr T sqrt3_v<T>      = see below; 
  template<floating_point T> inline constexpr T inv_sqrt3_v<T>  = see below; 
  template<floating_point T> inline constexpr T egamma_v<T>     = see below; 
  template<floating_point T> inline constexpr T phi_v<T>        = see below; 
 
  inline constexpr double e          = e_v<double>; 
  inline constexpr double log2e      = log2e_v<double>; 
  inline constexpr double log10e     = log10e_v<double>; 
  inline constexpr double pi         = pi_v<double>; 
  inline constexpr double inv_pi     = inv_pi_v<double>; 
  inline constexpr double inv_sqrtpi = inv_sqrtpi_v<double>; 
  inline constexpr double ln2        = ln2_v<double>; 
  inline constexpr double ln10       = ln10_v<double>; 
  inline constexpr double sqrt2      = sqrt2_v<double>; 
  inline constexpr double sqrt3      = sqrt3_v<double>; 
  inline constexpr double inv_sqrt3  = inv_sqrt3_v<double>; 
  inline constexpr double egamma     = egamma_v<double>; 
  inline constexpr double phi        = phi_v<double>; 
} 
*/ 
 
#include <__config> 
#include <concepts> 
#include <type_traits> 
#include <version> 
 
#if _LIBCPP_STD_VER > 17 && !defined(_LIBCPP_HAS_NO_CONCEPTS) 
 
#if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER) 
#pragma GCC system_header 
#endif 
 
_LIBCPP_BEGIN_NAMESPACE_STD 
 
namespace numbers { 
 
template <class T> 
inline constexpr bool __false = false; 
 
template <class T> 
struct __illformed 
{ 
  static_assert(__false<T>, "A program that instantiates a primary template of a mathematical constant variable template is ill-formed."); 
}; 
 
template <class T> inline constexpr T e_v =          __illformed<T>{}; 
template <class T> inline constexpr T log2e_v =      __illformed<T>{}; 
template <class T> inline constexpr T log10e_v =     __illformed<T>{}; 
template <class T> inline constexpr T pi_v =         __illformed<T>{}; 
template <class T> inline constexpr T inv_pi_v =     __illformed<T>{}; 
template <class T> inline constexpr T inv_sqrtpi_v = __illformed<T>{}; 
template <class T> inline constexpr T ln2_v =        __illformed<T>{}; 
template <class T> inline constexpr T ln10_v =       __illformed<T>{}; 
template <class T> inline constexpr T sqrt2_v =      __illformed<T>{}; 
template <class T> inline constexpr T sqrt3_v =      __illformed<T>{}; 
template <class T> inline constexpr T inv_sqrt3_v =  __illformed<T>{}; 
template <class T> inline constexpr T egamma_v =     __illformed<T>{}; 
template <class T> inline constexpr T phi_v =        __illformed<T>{}; 
 
template <floating_point T> inline constexpr T e_v<T>          = 2.718281828459045235360287471352662L; 
template <floating_point T> inline constexpr T log2e_v<T>      = 1.442695040888963407359924681001892L; 
template <floating_point T> inline constexpr T log10e_v<T>     = 0.434294481903251827651128918916605L; 
template <floating_point T> inline constexpr T pi_v<T>         = 3.141592653589793238462643383279502L; 
template <floating_point T> inline constexpr T inv_pi_v<T>     = 0.318309886183790671537767526745028L; 
template <floating_point T> inline constexpr T inv_sqrtpi_v<T> = 0.564189583547756286948079451560772L; 
template <floating_point T> inline constexpr T ln2_v<T>        = 0.693147180559945309417232121458176L; 
template <floating_point T> inline constexpr T ln10_v<T>       = 2.302585092994045684017991454684364L; 
template <floating_point T> inline constexpr T sqrt2_v<T>      = 1.414213562373095048801688724209698L; 
template <floating_point T> inline constexpr T sqrt3_v<T>      = 1.732050807568877293527446341505872L; 
template <floating_point T> inline constexpr T inv_sqrt3_v<T>  = 0.577350269189625764509148780501957L; 
template <floating_point T> inline constexpr T egamma_v<T>     = 0.577215664901532860606512090082402L; 
template <floating_point T> inline constexpr T phi_v<T>        = 1.618033988749894848204586834365638L; 
 
inline constexpr double e          = e_v<double>; 
inline constexpr double log2e      = log2e_v<double>; 
inline constexpr double log10e     = log10e_v<double>; 
inline constexpr double pi         = pi_v<double>; 
inline constexpr double inv_pi     = inv_pi_v<double>; 
inline constexpr double inv_sqrtpi = inv_sqrtpi_v<double>; 
inline constexpr double ln2        = ln2_v<double>; 
inline constexpr double ln10       = ln10_v<double>; 
inline constexpr double sqrt2      = sqrt2_v<double>; 
inline constexpr double sqrt3      = sqrt3_v<double>; 
inline constexpr double inv_sqrt3  = inv_sqrt3_v<double>; 
inline constexpr double egamma     = egamma_v<double>; 
inline constexpr double phi        = phi_v<double>; 
 
} // namespace numbers 
 
_LIBCPP_END_NAMESPACE_STD 
 
#endif //_LIBCPP_STD_VER > 17 && !defined(_LIBCPP_HAS_NO_CONCEPTS) 
 
#endif // _LIBCPP_NUMBERS