8d9254fc8a
From-SVN: r279813
209 lines
6.1 KiB
C++
209 lines
6.1 KiB
C++
// <numbers> -*- C++ -*-
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// Copyright (C) 2019-2020 Free Software Foundation, Inc.
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//
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// This file is part of the GNU ISO C++ Library. This library is free
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// software; you can redistribute it and/or modify it under the
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// terms of the GNU General Public License as published by the
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// Free Software Foundation; either version 3, or (at your option)
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// any later version.
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// This library is distributed in the hope that it will be useful,
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// but WITHOUT ANY WARRANTY; without even the implied warranty of
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// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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// GNU General Public License for more details.
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// Under Section 7 of GPL version 3, you are granted additional
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// permissions described in the GCC Runtime Library Exception, version
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// 3.1, as published by the Free Software Foundation.
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// You should have received a copy of the GNU General Public License and
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// a copy of the GCC Runtime Library Exception along with this program;
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// see the files COPYING3 and COPYING.RUNTIME respectively. If not, see
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// <http://www.gnu.org/licenses/>.
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/** @file include/numbers
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* This is a Standard C++ Library header.
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*/
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#ifndef _GLIBCXX_NUMBERS
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#define _GLIBCXX_NUMBERS 1
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#pragma GCC system_header
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#if __cplusplus > 201703L
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#include <type_traits>
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namespace std _GLIBCXX_VISIBILITY(default)
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{
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_GLIBCXX_BEGIN_NAMESPACE_VERSION
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/** @defgroup math_constants Mathematical constants
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* @ingroup numerics
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* @{
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*/
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/// Namespace for mathematical constants
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namespace numbers
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{
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#define __cpp_lib_math_constants 201907L
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/// @cond undoc
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template<typename _Tp>
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using _Enable_if_floating = enable_if_t<is_floating_point_v<_Tp>, _Tp>;
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/// @endcond
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/// e
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template<typename _Tp>
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inline constexpr _Tp e_v
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= _Enable_if_floating<_Tp>(2.718281828459045235360287471352662498L);
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/// log_2 e
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template<typename _Tp>
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inline constexpr _Tp log2e_v
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= _Enable_if_floating<_Tp>(1.442695040888963407359924681001892137L);
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/// log_10 e
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template<typename _Tp>
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inline constexpr _Tp log10e_v
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= _Enable_if_floating<_Tp>(0.434294481903251827651128918916605082L);
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/// pi
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template<typename _Tp>
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inline constexpr _Tp pi_v
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= _Enable_if_floating<_Tp>(3.141592653589793238462643383279502884L);
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/// 1/pi
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template<typename _Tp>
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inline constexpr _Tp inv_pi_v
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= _Enable_if_floating<_Tp>(0.318309886183790671537767526745028724L);
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/// 1/sqrt(pi)
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template<typename _Tp>
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inline constexpr _Tp inv_sqrtpi_v
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= _Enable_if_floating<_Tp>(0.564189583547756286948079451560772586L);
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/// log_e 2
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template<typename _Tp>
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inline constexpr _Tp ln2_v
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= _Enable_if_floating<_Tp>(0.693147180559945309417232121458176568L);
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/// log_e 10
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template<typename _Tp>
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inline constexpr _Tp ln10_v
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= _Enable_if_floating<_Tp>(2.302585092994045684017991454684364208L);
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/// sqrt(2)
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template<typename _Tp>
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inline constexpr _Tp sqrt2_v
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= _Enable_if_floating<_Tp>(1.414213562373095048801688724209698079L);
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/// sqrt(3)
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template<typename _Tp>
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inline constexpr _Tp sqrt3_v
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= _Enable_if_floating<_Tp>(1.732050807568877293527446341505872367L);
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/// 1/sqrt(3)
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template<typename _Tp>
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inline constexpr _Tp inv_sqrt3_v
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= _Enable_if_floating<_Tp>(0.577350269189625764509148780501957456L);
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/// The Euler-Mascheroni constant
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template<typename _Tp>
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inline constexpr _Tp egamma_v
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= _Enable_if_floating<_Tp>(0.577215664901532860606512090082402431L);
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/// The golden ratio, (1+sqrt(5))/2
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template<typename _Tp>
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inline constexpr _Tp phi_v
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= _Enable_if_floating<_Tp>(1.618033988749894848204586834365638118L);
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inline constexpr double e = e_v<double>;
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inline constexpr double log2e = log2e_v<double>;
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inline constexpr double log10e = log10e_v<double>;
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inline constexpr double pi = pi_v<double>;
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inline constexpr double inv_pi = inv_pi_v<double>;
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inline constexpr double inv_sqrtpi = inv_sqrtpi_v<double>;
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inline constexpr double ln2 = ln2_v<double>;
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inline constexpr double ln10 = ln10_v<double>;
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inline constexpr double sqrt2 = sqrt2_v<double>;
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inline constexpr double sqrt3 = sqrt3_v<double>;
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inline constexpr double inv_sqrt3 = inv_sqrt3_v<double>;
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inline constexpr double egamma = egamma_v<double>;
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inline constexpr double phi = phi_v<double>;
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#if !defined(__STRICT_ANSI__) && defined(_GLIBCXX_USE_FLOAT128)
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template<>
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inline constexpr __float128 e_v<__float128>
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= 2.718281828459045235360287471352662498Q;
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/// log_2 e
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template<>
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inline constexpr __float128 log2e_v<__float128>
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= 1.442695040888963407359924681001892137Q;
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/// log_10 e
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template<>
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inline constexpr __float128 log10e_v<__float128>
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= 0.434294481903251827651128918916605082Q;
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/// pi
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template<>
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inline constexpr __float128 pi_v<__float128>
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= 3.141592653589793238462643383279502884Q;
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/// 1/pi
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template<>
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inline constexpr __float128 inv_pi_v<__float128>
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= 0.318309886183790671537767526745028724Q;
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/// 1/sqrt(pi)
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template<>
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inline constexpr __float128 inv_sqrtpi_v<__float128>
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= 0.564189583547756286948079451560772586Q;
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/// log_e 2
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template<>
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inline constexpr __float128 ln2_v<__float128>
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= 0.693147180559945309417232121458176568Q;
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/// log_e 10
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template<>
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inline constexpr __float128 ln10_v<__float128>
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= 2.302585092994045684017991454684364208Q;
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/// sqrt(2)
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template<>
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inline constexpr __float128 sqrt2_v<__float128>
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= 1.414213562373095048801688724209698079Q;
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/// sqrt(3)
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template<>
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inline constexpr __float128 sqrt3_v<__float128>
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= 1.732050807568877293527446341505872367Q;
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/// 1/sqrt(3)
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template<>
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inline constexpr __float128 inv_sqrt3_v<__float128>
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= 0.577350269189625764509148780501957456Q;
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/// The Euler-Mascheroni constant
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template<>
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inline constexpr __float128 egamma_v<__float128>
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= 0.577215664901532860606512090082402431Q;
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/// The golden ratio, (1+sqrt(5))/2
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template<>
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inline constexpr __float128 phi_v<__float128>
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= 1.618033988749894848204586834365638118Q;
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#endif // USE_FLOAT128
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} // namespace numbers
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/// @}
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_GLIBCXX_END_NAMESPACE_VERSION
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} // namespace std
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#endif // C++20
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#endif // _GLIBCXX_NUMBERS
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