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// <numbers> -*- C++ -*- // Copyright (C) 2019-2024 Free Software Foundation, Inc. // // This file is part of the GNU ISO C++ Library. This library is free // software; you can redistribute it and/or modify it under the // terms of the GNU General Public License as published by the // Free Software Foundation; either version 3, or (at your option) // any later version. // This library is distributed in the hope that it will be useful, // but WITHOUT ANY WARRANTY; without even the implied warranty of // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the // GNU General Public License for more details. // Under Section 7 of GPL version 3, you are granted additional // permissions described in the GCC Runtime Library Exception, version // 3.1, as published by the Free Software Foundation. // You should have received a copy of the GNU General Public License and // a copy of the GCC Runtime Library Exception along with this program; // see the files COPYING3 and COPYING.RUNTIME respectively. If not, see // <http://www.gnu.org/licenses/>. /** @file include/numbers * This is a Standard C++ Library header. */ #ifndef _GLIBCXX_NUMBERS #define _GLIBCXX_NUMBERS 1 #pragma GCC system_header #define __glibcxx_want_math_constants #include <bits/version.h> #ifdef __cpp_lib_math_constants // C++ >= 20 #include <type_traits> namespace std _GLIBCXX_VISIBILITY(default) { _GLIBCXX_BEGIN_NAMESPACE_VERSION /** @defgroup math_constants Mathematical constants * @ingroup numerics * @{ */ /// Namespace for mathematical constants namespace numbers { /// @cond undocumented template<typename _Tp> using _Enable_if_floating = enable_if_t<is_floating_point_v<_Tp>, _Tp>; /// @endcond /// e template<typename _Tp> inline constexpr _Tp e_v = _Enable_if_floating<_Tp>(2.718281828459045235360287471352662498L); /// log_2 e template<typename _Tp> inline constexpr _Tp log2e_v = _Enable_if_floating<_Tp>(1.442695040888963407359924681001892137L); /// log_10 e template<typename _Tp> inline constexpr _Tp log10e_v = _Enable_if_floating<_Tp>(0.434294481903251827651128918916605082L); /// pi template<typename _Tp> inline constexpr _Tp pi_v = _Enable_if_floating<_Tp>(3.141592653589793238462643383279502884L); /// 1/pi template<typename _Tp> inline constexpr _Tp inv_pi_v = _Enable_if_floating<_Tp>(0.318309886183790671537767526745028724L); /// 1/sqrt(pi) template<typename _Tp> inline constexpr _Tp inv_sqrtpi_v = _Enable_if_floating<_Tp>(0.564189583547756286948079451560772586L); /// log_e 2 template<typename _Tp> inline constexpr _Tp ln2_v = _Enable_if_floating<_Tp>(0.693147180559945309417232121458176568L); /// log_e 10 template<typename _Tp> inline constexpr _Tp ln10_v = _Enable_if_floating<_Tp>(2.302585092994045684017991454684364208L); /// sqrt(2) template<typename _Tp> inline constexpr _Tp sqrt2_v = _Enable_if_floating<_Tp>(1.414213562373095048801688724209698079L); /// sqrt(3) template<typename _Tp> inline constexpr _Tp sqrt3_v = _Enable_if_floating<_Tp>(1.732050807568877293527446341505872367L); /// 1/sqrt(3) template<typename _Tp> inline constexpr _Tp inv_sqrt3_v = _Enable_if_floating<_Tp>(0.577350269189625764509148780501957456L); /// The Euler-Mascheroni constant template<typename _Tp> inline constexpr _Tp egamma_v = _Enable_if_floating<_Tp>(0.577215664901532860606512090082402431L); /// The golden ratio, (1+sqrt(5))/2 template<typename _Tp> inline constexpr _Tp phi_v = _Enable_if_floating<_Tp>(1.618033988749894848204586834365638118L); 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>; #define __glibcxx_numbers(TYPE, SUFFIX) \ /* e */ \ template<> \ inline constexpr TYPE e_v<TYPE> \ = 2.718281828459045235360287471352662498##SUFFIX; \ \ /* log_2 e */ \ template<> \ inline constexpr TYPE log2e_v<TYPE> \ = 1.442695040888963407359924681001892137##SUFFIX; \ \ /* log_10 e */ \ template<> \ inline constexpr TYPE log10e_v<TYPE> \ = 0.434294481903251827651128918916605082##SUFFIX; \ \ /* pi */ \ template<> \ inline constexpr TYPE pi_v<TYPE> \ = 3.141592653589793238462643383279502884##SUFFIX; \ \ /* 1/pi */ \ template<> \ inline constexpr TYPE inv_pi_v<TYPE> \ = 0.318309886183790671537767526745028724##SUFFIX; \ \ /* 1/sqrt(pi) */ \ template<> \ inline constexpr TYPE inv_sqrtpi_v<TYPE> \ = 0.564189583547756286948079451560772586##SUFFIX; \ \ /* log_e 2 */ \ template<> \ inline constexpr TYPE ln2_v<TYPE> \ = 0.693147180559945309417232121458176568##SUFFIX; \ \ /* log_e 10 */ \ template<> \ inline constexpr TYPE ln10_v<TYPE> \ = 2.302585092994045684017991454684364208##SUFFIX; \ \ /* sqrt(2) */ \ template<> \ inline constexpr TYPE sqrt2_v<TYPE> \ = 1.414213562373095048801688724209698079##SUFFIX; \ \ /* sqrt(3) */ \ template<> \ inline constexpr TYPE sqrt3_v<TYPE> \ = 1.732050807568877293527446341505872367##SUFFIX; \ \ /* 1/sqrt(3) */ \ template<> \ inline constexpr TYPE inv_sqrt3_v<TYPE> \ = 0.577350269189625764509148780501957456##SUFFIX; \ \ /* The Euler-Mascheroni constant */ \ template<> \ inline constexpr TYPE egamma_v<TYPE> \ = 0.577215664901532860606512090082402431##SUFFIX; \ \ /* The golden ratio, (1+sqrt(5))/2 */ \ template<> \ inline constexpr TYPE phi_v<TYPE> \ = 1.618033988749894848204586834365638118##SUFFIX #ifdef __STDCPP_FLOAT16_T__ __glibcxx_numbers (_Float16, F16); #endif #ifdef __STDCPP_FLOAT32_T__ __glibcxx_numbers (_Float32, F32); #endif #ifdef __STDCPP_FLOAT64_T__ __glibcxx_numbers (_Float64, F64); #endif #ifdef __STDCPP_FLOAT128_T__ __glibcxx_numbers (_Float128, F128); #endif #ifdef __STDCPP_BFLOAT128_T__ __glibcxx_numbers (__gnu_cxx::__bfloat16_t, BF16); #endif #if !defined(__STRICT_ANSI__) && defined(_GLIBCXX_USE_FLOAT128) __glibcxx_numbers (__float128, Q); #endif // USE_FLOAT128 #undef __glibcxx_numbers } // namespace numbers /// @} _GLIBCXX_END_NAMESPACE_VERSION } // namespace std #endif // __cpp_lib_math_constants #endif // _GLIBCXX_NUMBERS