143 lines
4.9 KiB
C++
143 lines
4.9 KiB
C++
// Special functions -*- C++ -*-
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// Copyright (C) 2006-2020 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 tr1/special_function_util.h
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* This is an internal header file, included by other library headers.
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* Do not attempt to use it directly. @headername{tr1/cmath}
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*/
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//
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// ISO C++ 14882 TR1: 5.2 Special functions
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//
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// Written by Edward Smith-Rowland based on numerous mathematics books.
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#ifndef _GLIBCXX_TR1_SPECIAL_FUNCTION_UTIL_H
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#define _GLIBCXX_TR1_SPECIAL_FUNCTION_UTIL_H 1
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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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#if _GLIBCXX_USE_STD_SPEC_FUNCS
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#elif defined(_GLIBCXX_TR1_CMATH)
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namespace tr1
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{
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#else
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# error do not include this header directly, use <cmath> or <tr1/cmath>
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#endif
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namespace __detail
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{
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/// A class to encapsulate type dependent floating point
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/// constants. Not everything will be able to be expressed as
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/// type logic.
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template<typename _Tp>
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struct __floating_point_constant
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{
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static const _Tp __value;
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};
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/// A structure for numeric constants.
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template<typename _Tp>
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struct __numeric_constants
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{
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/// Constant @f$ \pi @f$.
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static _Tp __pi() throw()
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{ return static_cast<_Tp>(3.1415926535897932384626433832795029L); }
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/// Constant @f$ \pi / 2 @f$.
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static _Tp __pi_2() throw()
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{ return static_cast<_Tp>(1.5707963267948966192313216916397514L); }
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/// Constant @f$ \pi / 3 @f$.
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static _Tp __pi_3() throw()
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{ return static_cast<_Tp>(1.0471975511965977461542144610931676L); }
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/// Constant @f$ \pi / 4 @f$.
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static _Tp __pi_4() throw()
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{ return static_cast<_Tp>(0.7853981633974483096156608458198757L); }
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/// Constant @f$ 1 / \pi @f$.
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static _Tp __1_pi() throw()
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{ return static_cast<_Tp>(0.3183098861837906715377675267450287L); }
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/// Constant @f$ 2 / \sqrt(\pi) @f$.
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static _Tp __2_sqrtpi() throw()
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{ return static_cast<_Tp>(1.1283791670955125738961589031215452L); }
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/// Constant @f$ \sqrt(2) @f$.
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static _Tp __sqrt2() throw()
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{ return static_cast<_Tp>(1.4142135623730950488016887242096981L); }
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/// Constant @f$ \sqrt(3) @f$.
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static _Tp __sqrt3() throw()
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{ return static_cast<_Tp>(1.7320508075688772935274463415058723L); }
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/// Constant @f$ \sqrt(\pi/2) @f$.
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static _Tp __sqrtpio2() throw()
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{ return static_cast<_Tp>(1.2533141373155002512078826424055226L); }
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/// Constant @f$ 1 / sqrt(2) @f$.
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static _Tp __sqrt1_2() throw()
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{ return static_cast<_Tp>(0.7071067811865475244008443621048490L); }
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/// Constant @f$ \log(\pi) @f$.
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static _Tp __lnpi() throw()
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{ return static_cast<_Tp>(1.1447298858494001741434273513530587L); }
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/// Constant Euler's constant @f$ \gamma_E @f$.
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static _Tp __gamma_e() throw()
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{ return static_cast<_Tp>(0.5772156649015328606065120900824024L); }
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/// Constant Euler-Mascheroni @f$ e @f$
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static _Tp __euler() throw()
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{ return static_cast<_Tp>(2.7182818284590452353602874713526625L); }
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};
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#if _GLIBCXX_USE_C99_MATH && !_GLIBCXX_USE_C99_FP_MACROS_DYNAMIC
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/// This is a wrapper for the isnan function. Otherwise, for NaN,
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/// all comparisons result in false. If/when we build a std::isnan
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/// out of intrinsics, this will disappear completely in favor of
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/// std::isnan.
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template<typename _Tp>
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inline bool __isnan(_Tp __x)
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{ return std::isnan(__x); }
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#else
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template<typename _Tp>
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inline bool __isnan(const _Tp __x)
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{ return __builtin_isnan(__x); }
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template<>
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inline bool __isnan<float>(float __x)
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{ return __builtin_isnanf(__x); }
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template<>
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inline bool __isnan<long double>(long double __x)
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{ return __builtin_isnanl(__x); }
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#endif
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} // namespace __detail
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#if ! _GLIBCXX_USE_STD_SPEC_FUNCS && defined(_GLIBCXX_TR1_CMATH)
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} // namespace tr1
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#endif
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_GLIBCXX_END_NAMESPACE_VERSION
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}
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#endif // _GLIBCXX_TR1_SPECIAL_FUNCTION_UTIL_H
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