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// Special functions -*- C++ -*-
// Copyright (C) 2006
// 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 2, 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.
// You should have received a copy of the GNU General Public License along
// with this library; see the file COPYING. If not, write to the Free
// Software Foundation, 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301,
// USA.
// As a special exception, you may use this file as part of a free software
// library without restriction. Specifically, if other files instantiate
// templates or use macros or inline functions from this file, or you compile
// this file and link it with other files to produce an executable, this
// file does not by itself cause the resulting executable to be covered by
// the GNU General Public License. This exception does not however
// invalidate any other reasons why the executable file might be covered by
// the GNU General Public License.
/** @file tr1/special_function_util.h
* This is an internal header file, included by other library headers.
* You should not attempt to use it directly.
*/
//
// ISO C++ 14882 TR1: 5.2 Special functions
//
// Written by Edward Smith-Rowland based on numerous mathematics books.
#ifndef _TR1_SPECIAL_FUNCTION_UTIL_H
#define _TR1_SPECIAL_FUNCTION_UTIL_H 1
// namespace std::tr1
namespace std
{
_GLIBCXX_BEGIN_NAMESPACE(_GLIBCXX_TR1)
namespace __detail
{
///
/// @brief 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;
};
///
/// @brief 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); }
};
///
/// @brief 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.
///
#if _GLIBCXX_USE_C99_MATH && !_GLIBCXX_USE_C99_FP_MACROS_DYNAMIC
template <typename _Tp>
inline bool __isnan(const _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>(const float __x)
{
return __builtin_isnanf(__x);
}
template <>
inline bool __isnan<long double>(const long double __x)
{
return __builtin_isnanl(__x);
}
#endif
} // namespace __detail
_GLIBCXX_END_NAMESPACE
}
#endif // _TR1_SPECIAL_FUNCTION_UTIL_H
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