Dengine/extern/glm-0.9.7.5/include/glm/detail/func_trigonometric.inl

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///////////////////////////////////////////////////////////////////////////////////
/// OpenGL Mathematics (glm.g-truc.net)
///
/// Copyright (c) 2005 - 2015 G-Truc Creation (www.g-truc.net)
/// Permission is hereby granted, free of charge, to any person obtaining a copy
/// of this software and associated documentation files (the "Software"), to deal
/// in the Software without restriction, including without limitation the rights
/// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
/// copies of the Software, and to permit persons to whom the Software is
/// furnished to do so, subject to the following conditions:
///
/// The above copyright notice and this permission notice shall be included in
/// all copies or substantial portions of the Software.
///
/// Restrictions:
/// By making use of the Software for military purposes, you choose to make
/// a Bunny unhappy.
///
/// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
/// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
/// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
/// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
/// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
/// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
/// THE SOFTWARE.
///
/// @ref core
/// @file glm/detail/func_trigonometric.inl
/// @date 2008-08-03 / 2011-06-15
/// @author Christophe Riccio
///////////////////////////////////////////////////////////////////////////////////
#include "_vectorize.hpp"
#include <cmath>
#include <limits>
namespace glm
{
// radians
template <typename genType>
GLM_FUNC_QUALIFIER GLM_CONSTEXPR genType radians(genType degrees)
{
GLM_STATIC_ASSERT(std::numeric_limits<genType>::is_iec559, "'radians' only accept floating-point input");
return degrees * static_cast<genType>(0.01745329251994329576923690768489);
}
template <typename T, precision P, template <typename, precision> class vecType>
GLM_FUNC_QUALIFIER GLM_CONSTEXPR vecType<T, P> radians(vecType<T, P> const & v)
{
return detail::functor1<T, T, P, vecType>::call(radians, v);
}
// degrees
template <typename genType>
GLM_FUNC_QUALIFIER GLM_CONSTEXPR genType degrees(genType radians)
{
GLM_STATIC_ASSERT(std::numeric_limits<genType>::is_iec559, "'degrees' only accept floating-point input");
return radians * static_cast<genType>(57.295779513082320876798154814105);
}
template <typename T, precision P, template <typename, precision> class vecType>
GLM_FUNC_QUALIFIER GLM_CONSTEXPR vecType<T, P> degrees(vecType<T, P> const & v)
{
return detail::functor1<T, T, P, vecType>::call(degrees, v);
}
// sin
using ::std::sin;
template <typename T, precision P, template <typename, precision> class vecType>
GLM_FUNC_QUALIFIER vecType<T, P> sin(vecType<T, P> const & v)
{
return detail::functor1<T, T, P, vecType>::call(sin, v);
}
// cos
using std::cos;
template <typename T, precision P, template <typename, precision> class vecType>
GLM_FUNC_QUALIFIER vecType<T, P> cos(vecType<T, P> const & v)
{
return detail::functor1<T, T, P, vecType>::call(cos, v);
}
// tan
using std::tan;
template <typename T, precision P, template <typename, precision> class vecType>
GLM_FUNC_QUALIFIER vecType<T, P> tan(vecType<T, P> const & v)
{
return detail::functor1<T, T, P, vecType>::call(tan, v);
}
// asin
using std::asin;
template <typename T, precision P, template <typename, precision> class vecType>
GLM_FUNC_QUALIFIER vecType<T, P> asin(vecType<T, P> const & v)
{
return detail::functor1<T, T, P, vecType>::call(asin, v);
}
// acos
using std::acos;
template <typename T, precision P, template <typename, precision> class vecType>
GLM_FUNC_QUALIFIER vecType<T, P> acos(vecType<T, P> const & v)
{
return detail::functor1<T, T, P, vecType>::call(acos, v);
}
// atan
template <typename genType>
GLM_FUNC_QUALIFIER genType atan(genType const & y, genType const & x)
{
GLM_STATIC_ASSERT(std::numeric_limits<genType>::is_iec559, "'atan' only accept floating-point input");
return ::std::atan2(y, x);
}
template <typename T, precision P, template <typename, precision> class vecType>
GLM_FUNC_QUALIFIER vecType<T, P> atan(vecType<T, P> const & a, vecType<T, P> const & b)
{
return detail::functor2<T, P, vecType>::call(atan2, a, b);
}
using std::atan;
template <typename T, precision P, template <typename, precision> class vecType>
GLM_FUNC_QUALIFIER vecType<T, P> atan(vecType<T, P> const & v)
{
return detail::functor1<T, T, P, vecType>::call(atan, v);
}
// sinh
using std::sinh;
template <typename T, precision P, template <typename, precision> class vecType>
GLM_FUNC_QUALIFIER vecType<T, P> sinh(vecType<T, P> const & v)
{
return detail::functor1<T, T, P, vecType>::call(sinh, v);
}
// cosh
using std::cosh;
template <typename T, precision P, template <typename, precision> class vecType>
GLM_FUNC_QUALIFIER vecType<T, P> cosh(vecType<T, P> const & v)
{
return detail::functor1<T, T, P, vecType>::call(cosh, v);
}
// tanh
using std::tanh;
template <typename T, precision P, template <typename, precision> class vecType>
GLM_FUNC_QUALIFIER vecType<T, P> tanh(vecType<T, P> const & v)
{
return detail::functor1<T, T, P, vecType>::call(tanh, v);
}
// asinh
# if GLM_HAS_CXX11_STL
using std::asinh;
# else
template <typename genType>
GLM_FUNC_QUALIFIER genType asinh(genType const & x)
{
GLM_STATIC_ASSERT(std::numeric_limits<genType>::is_iec559, "'asinh' only accept floating-point input");
return (x < static_cast<genType>(0) ? static_cast<genType>(-1) : (x > static_cast<genType>(0) ? static_cast<genType>(1) : static_cast<genType>(0))) * log(std::abs(x) + sqrt(static_cast<genType>(1) + x * x));
}
# endif
template <typename T, precision P, template <typename, precision> class vecType>
GLM_FUNC_QUALIFIER vecType<T, P> asinh(vecType<T, P> const & v)
{
return detail::functor1<T, T, P, vecType>::call(asinh, v);
}
// acosh
# if GLM_HAS_CXX11_STL
using std::acosh;
# else
template <typename genType>
GLM_FUNC_QUALIFIER genType acosh(genType const & x)
{
GLM_STATIC_ASSERT(std::numeric_limits<genType>::is_iec559, "'acosh' only accept floating-point input");
if(x < static_cast<genType>(1))
return static_cast<genType>(0);
return log(x + sqrt(x * x - static_cast<genType>(1)));
}
# endif
template <typename T, precision P, template <typename, precision> class vecType>
GLM_FUNC_QUALIFIER vecType<T, P> acosh(vecType<T, P> const & v)
{
return detail::functor1<T, T, P, vecType>::call(acosh, v);
}
// atanh
# if GLM_HAS_CXX11_STL
using std::atanh;
# else
template <typename genType>
GLM_FUNC_QUALIFIER genType atanh(genType const & x)
{
GLM_STATIC_ASSERT(std::numeric_limits<genType>::is_iec559, "'atanh' only accept floating-point input");
if(std::abs(x) >= static_cast<genType>(1))
return 0;
return static_cast<genType>(0.5) * log((static_cast<genType>(1) + x) / (static_cast<genType>(1) - x));
}
# endif
template <typename T, precision P, template <typename, precision> class vecType>
GLM_FUNC_QUALIFIER vecType<T, P> atanh(vecType<T, P> const & v)
{
return detail::functor1<T, T, P, vecType>::call(atanh, v);
}
}//namespace glm