You can not select more than 25 topics Topics must start with a letter or number, can include dashes ('-') and can be up to 35 characters long.
 
 

244 lines
5.7 KiB

///////////////////////////////////////////////////////////////////////////////////
/// OpenGL Mathematics (glm.g-truc.net)
///
/// Copyright (c) 2005 - 2013 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.
///
/// 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/core/func_trigonometric.inl
/// @date 2008-08-03 / 2011-06-15
/// @author Christophe Riccio
///////////////////////////////////////////////////////////////////////////////////
namespace glm
{
// radians
template <typename genType>
GLM_FUNC_QUALIFIER genType radians
(
genType const & degrees
)
{
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'radians' only accept floating-point input");
genType const pi = genType(3.1415926535897932384626433832795);
return degrees * (pi / genType(180));
}
VECTORIZE_VEC(radians)
// degrees
template <typename genType>
GLM_FUNC_QUALIFIER genType degrees
(
genType const & radians
)
{
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'degrees' only accept floating-point input");
const genType pi = genType(3.1415926535897932384626433832795);
return radians * (genType(180) / pi);
}
VECTORIZE_VEC(degrees)
// sin
template <typename genType>
GLM_FUNC_QUALIFIER genType sin
(
genType const & angle
)
{
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'sin' only accept floating-point input");
return genType(::std::sin(angle));
}
VECTORIZE_VEC(sin)
// cos
template <typename genType>
GLM_FUNC_QUALIFIER genType cos(genType const & angle)
{
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'cos' only accept floating-point input");
return genType(::std::cos(angle));
}
VECTORIZE_VEC(cos)
// tan
template <typename genType>
GLM_FUNC_QUALIFIER genType tan
(
genType const & angle
)
{
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'tan' only accept floating-point input");
return genType(::std::tan(angle));
}
VECTORIZE_VEC(tan)
// asin
template <typename genType>
GLM_FUNC_QUALIFIER genType asin
(
genType const & x
)
{
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'asin' only accept floating-point input");
return genType(::std::asin(x));
}
VECTORIZE_VEC(asin)
// acos
template <typename genType>
GLM_FUNC_QUALIFIER genType acos
(
genType const & x
)
{
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'acos' only accept floating-point input");
return genType(::std::acos(x));
}
VECTORIZE_VEC(acos)
// atan
template <typename genType>
GLM_FUNC_QUALIFIER genType atan
(
genType const & y,
genType const & x
)
{
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'atan' only accept floating-point input");
return genType(::std::atan2(y, x));
}
VECTORIZE_VEC_VEC(atan)
template <typename genType>
GLM_FUNC_QUALIFIER genType atan
(
genType const & x
)
{
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'atan' only accept floating-point input");
return genType(::std::atan(x));
}
VECTORIZE_VEC(atan)
// sinh
template <typename genType>
GLM_FUNC_QUALIFIER genType sinh
(
genType const & angle
)
{
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'sinh' only accept floating-point input");
return genType(std::sinh(angle));
}
VECTORIZE_VEC(sinh)
// cosh
template <typename genType>
GLM_FUNC_QUALIFIER genType cosh
(
genType const & angle
)
{
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'cosh' only accept floating-point input");
return genType(std::cosh(angle));
}
VECTORIZE_VEC(cosh)
// tanh
template <typename genType>
GLM_FUNC_QUALIFIER genType tanh
(
genType const & angle
)
{
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'tanh' only accept floating-point input");
return genType(std::tanh(angle));
}
VECTORIZE_VEC(tanh)
// asinh
template <typename genType>
GLM_FUNC_QUALIFIER genType asinh
(
genType const & x
)
{
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'asinh' only accept floating-point input");
return (x < genType(0) ? genType(-1) : (x > genType(0) ? genType(1) : genType(0))) * log(abs(x) + sqrt(genType(1) + x * x));
}
VECTORIZE_VEC(asinh)
// acosh
template <typename genType>
GLM_FUNC_QUALIFIER genType acosh
(
genType const & x
)
{
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'acosh' only accept floating-point input");
if(x < genType(1))
return genType(0);
return log(x + sqrt(x * x - genType(1)));
}
VECTORIZE_VEC(acosh)
// atanh
template <typename genType>
GLM_FUNC_QUALIFIER genType atanh
(
genType const & x
)
{
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'atanh' only accept floating-point input");
if(abs(x) >= genType(1))
return 0;
return genType(0.5) * log((genType(1) + x) / (genType(1) - x));
}
VECTORIZE_VEC(atanh)
}//namespace glm