2013-07-16 06:42:44 +00:00
|
|
|
///////////////////////////////////////////////////////////////////////////////////
|
|
|
|
/// OpenGL Mathematics (glm.g-truc.net)
|
|
|
|
///
|
|
|
|
/// Copyright (c) 2005 - 2012 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 gtc_reciprocal
|
|
|
|
/// @file glm/gtc/reciprocal.inl
|
|
|
|
/// @date 2008-10-09 / 2012-04-07
|
|
|
|
/// @author Christophe Riccio
|
|
|
|
///////////////////////////////////////////////////////////////////////////////////
|
|
|
|
|
|
|
|
namespace glm
|
|
|
|
{
|
|
|
|
// sec
|
|
|
|
template <typename genType>
|
|
|
|
GLM_FUNC_QUALIFIER genType sec
|
|
|
|
(
|
|
|
|
genType const & angle
|
|
|
|
)
|
|
|
|
{
|
|
|
|
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'sec' only accept floating-point values");
|
|
|
|
|
|
|
|
return genType(1) / glm::cos(angle);
|
|
|
|
}
|
|
|
|
|
|
|
|
VECTORIZE_VEC(sec)
|
|
|
|
|
|
|
|
// csc
|
|
|
|
template <typename genType>
|
|
|
|
GLM_FUNC_QUALIFIER genType csc
|
|
|
|
(
|
|
|
|
genType const & angle
|
|
|
|
)
|
|
|
|
{
|
|
|
|
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'csc' only accept floating-point values");
|
|
|
|
|
|
|
|
return genType(1) / glm::sin(angle);
|
|
|
|
}
|
|
|
|
|
|
|
|
VECTORIZE_VEC(csc)
|
|
|
|
|
|
|
|
// cot
|
|
|
|
template <typename genType>
|
|
|
|
GLM_FUNC_QUALIFIER genType cot
|
|
|
|
(
|
|
|
|
genType const & angle
|
|
|
|
)
|
|
|
|
{
|
|
|
|
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'cot' only accept floating-point values");
|
|
|
|
|
|
|
|
return genType(1) / glm::tan(angle);
|
|
|
|
}
|
|
|
|
|
|
|
|
VECTORIZE_VEC(cot)
|
|
|
|
|
|
|
|
// asec
|
|
|
|
template <typename genType>
|
|
|
|
GLM_FUNC_QUALIFIER genType asec
|
|
|
|
(
|
|
|
|
genType const & x
|
|
|
|
)
|
|
|
|
{
|
|
|
|
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'asec' only accept floating-point values");
|
|
|
|
|
|
|
|
return acos(genType(1) / x);
|
|
|
|
}
|
|
|
|
|
|
|
|
VECTORIZE_VEC(asec)
|
|
|
|
|
|
|
|
// acsc
|
|
|
|
template <typename genType>
|
|
|
|
GLM_FUNC_QUALIFIER genType acsc
|
|
|
|
(
|
|
|
|
genType const & x
|
|
|
|
)
|
|
|
|
{
|
|
|
|
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'acsc' only accept floating-point values");
|
|
|
|
|
|
|
|
return asin(genType(1) / x);
|
|
|
|
}
|
|
|
|
|
|
|
|
VECTORIZE_VEC(acsc)
|
|
|
|
|
|
|
|
// acot
|
|
|
|
template <typename genType>
|
|
|
|
GLM_FUNC_QUALIFIER genType acot
|
|
|
|
(
|
|
|
|
genType const & x
|
|
|
|
)
|
|
|
|
{
|
|
|
|
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'acot' only accept floating-point values");
|
|
|
|
|
|
|
|
genType const pi_over_2 = genType(3.1415926535897932384626433832795 / 2.0);
|
|
|
|
return pi_over_2 - atan(x);
|
|
|
|
}
|
|
|
|
|
|
|
|
VECTORIZE_VEC(acot)
|
|
|
|
|
|
|
|
// sech
|
|
|
|
template <typename genType>
|
|
|
|
GLM_FUNC_QUALIFIER genType sech
|
|
|
|
(
|
|
|
|
genType const & angle
|
|
|
|
)
|
|
|
|
{
|
|
|
|
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'sech' only accept floating-point values");
|
|
|
|
|
|
|
|
return genType(1) / glm::cosh(angle);
|
|
|
|
}
|
|
|
|
|
|
|
|
VECTORIZE_VEC(sech)
|
|
|
|
|
|
|
|
// csch
|
|
|
|
template <typename genType>
|
|
|
|
GLM_FUNC_QUALIFIER genType csch
|
|
|
|
(
|
|
|
|
genType const & angle
|
|
|
|
)
|
|
|
|
{
|
|
|
|
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'csch' only accept floating-point values");
|
|
|
|
|
|
|
|
return genType(1) / glm::sinh(angle);
|
|
|
|
}
|
|
|
|
|
|
|
|
VECTORIZE_VEC(csch)
|
|
|
|
|
|
|
|
// coth
|
|
|
|
template <typename genType>
|
|
|
|
GLM_FUNC_QUALIFIER genType coth
|
|
|
|
(
|
|
|
|
genType const & angle
|
|
|
|
)
|
|
|
|
{
|
|
|
|
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'coth' only accept floating-point values");
|
|
|
|
|
|
|
|
return glm::cosh(angle) / glm::sinh(angle);
|
|
|
|
}
|
|
|
|
|
|
|
|
VECTORIZE_VEC(coth)
|
|
|
|
|
|
|
|
// asech
|
|
|
|
template <typename genType>
|
|
|
|
GLM_FUNC_QUALIFIER genType asech
|
|
|
|
(
|
|
|
|
genType const & x
|
|
|
|
)
|
|
|
|
{
|
|
|
|
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'asech' only accept floating-point values");
|
|
|
|
|
|
|
|
return acosh(genType(1) / x);
|
|
|
|
}
|
|
|
|
|
|
|
|
VECTORIZE_VEC(asech)
|
|
|
|
|
|
|
|
// acsch
|
|
|
|
template <typename genType>
|
|
|
|
GLM_FUNC_QUALIFIER genType acsch
|
|
|
|
(
|
|
|
|
genType const & x
|
|
|
|
)
|
|
|
|
{
|
|
|
|
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'acsch' only accept floating-point values");
|
|
|
|
|
|
|
|
return asinh(genType(1) / x);
|
|
|
|
}
|
|
|
|
|
|
|
|
VECTORIZE_VEC(acsch)
|
|
|
|
|
|
|
|
// acoth
|
|
|
|
template <typename genType>
|
|
|
|
GLM_FUNC_QUALIFIER genType acoth
|
|
|
|
(
|
|
|
|
genType const & x
|
|
|
|
)
|
|
|
|
{
|
|
|
|
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'acoth' only accept floating-point values");
|
|
|
|
|
|
|
|
return atanh(genType(1) / x);
|
|
|
|
}
|
|
|
|
|
|
|
|
VECTORIZE_VEC(acoth)
|
|
|
|
}//namespace glm
|