// Special functions -*- C++ -*- // Copyright (C) 2006-2021 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 tr1/special_function_util.h * This is an internal header file, included by other library headers. * Do not attempt to use it directly. @headername{tr1/cmath} */ // // ISO C++ 14882 TR1: 5.2 Special functions // // Written by Edward Smith-Rowland based on numerous mathematics books. #ifndef _GLIBCXX_TR1_SPECIAL_FUNCTION_UTIL_H #define _GLIBCXX_TR1_SPECIAL_FUNCTION_UTIL_H 1 namespace std _GLIBCXX_VISIBILITY(default) { _GLIBCXX_BEGIN_NAMESPACE_VERSION #if _GLIBCXX_USE_STD_SPEC_FUNCS #elif defined(_GLIBCXX_TR1_CMATH) namespace tr1 { #else # error do not include this header directly, use <cmath> or <tr1/cmath> #endif namespace __detail { /// A class to encapsulate type dependent floating point /// constants. Not everything will be able to be expressed as /// type logic. template<typename _Tp> struct __floating_point_constant { static const _Tp __value; }; /// A structure for numeric constants. template<typename _Tp> struct __numeric_constants { /// Constant @f$ \pi @f$. static _Tp __pi() throw() { return static_cast<_Tp>(3.1415926535897932384626433832795029L); } /// Constant @f$ \pi / 2 @f$. static _Tp __pi_2() throw() { return static_cast<_Tp>(1.5707963267948966192313216916397514L); } /// Constant @f$ \pi / 3 @f$. static _Tp __pi_3() throw() { return static_cast<_Tp>(1.0471975511965977461542144610931676L); } /// Constant @f$ \pi / 4 @f$. static _Tp __pi_4() throw() { return static_cast<_Tp>(0.7853981633974483096156608458198757L); } /// Constant @f$ 1 / \pi @f$. static _Tp __1_pi() throw() { return static_cast<_Tp>(0.3183098861837906715377675267450287L); } /// Constant @f$ 2 / \sqrt(\pi) @f$. static _Tp __2_sqrtpi() throw() { return static_cast<_Tp>(1.1283791670955125738961589031215452L); } /// Constant @f$ \sqrt(2) @f$. static _Tp __sqrt2() throw() { return static_cast<_Tp>(1.4142135623730950488016887242096981L); } /// Constant @f$ \sqrt(3) @f$. static _Tp __sqrt3() throw() { return static_cast<_Tp>(1.7320508075688772935274463415058723L); } /// Constant @f$ \sqrt(\pi/2) @f$. static _Tp __sqrtpio2() throw() { return static_cast<_Tp>(1.2533141373155002512078826424055226L); } /// Constant @f$ 1 / sqrt(2) @f$. static _Tp __sqrt1_2() throw() { return static_cast<_Tp>(0.7071067811865475244008443621048490L); } /// Constant @f$ \log(\pi) @f$. static _Tp __lnpi() throw() { return static_cast<_Tp>(1.1447298858494001741434273513530587L); } /// Constant Euler's constant @f$ \gamma_E @f$. static _Tp __gamma_e() throw() { return static_cast<_Tp>(0.5772156649015328606065120900824024L); } /// Constant Euler-Mascheroni @f$ e @f$ static _Tp __euler() throw() { return static_cast<_Tp>(2.7182818284590452353602874713526625L); } }; #if _GLIBCXX_USE_C99_MATH && !_GLIBCXX_USE_C99_FP_MACROS_DYNAMIC /// This is a wrapper for the isnan function. Otherwise, for NaN, /// all comparisons result in false. If/when we build a std::isnan /// out of intrinsics, this will disappear completely in favor of /// std::isnan. template<typename _Tp> inline bool __isnan(_Tp __x) { return std::isnan(__x); } #else template<typename _Tp> inline bool __isnan(const _Tp __x) { return __builtin_isnan(__x); } template<> inline bool __isnan<float>(float __x) { return __builtin_isnanf(__x); } template<> inline bool __isnan<long double>(long double __x) { return __builtin_isnanl(__x); } #endif } // namespace __detail #if ! _GLIBCXX_USE_STD_SPEC_FUNCS && defined(_GLIBCXX_TR1_CMATH) } // namespace tr1 #endif _GLIBCXX_END_NAMESPACE_VERSION } #endif // _GLIBCXX_TR1_SPECIAL_FUNCTION_UTIL_H SIMPAN PERUBAHAN