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///////////////////////////////////////////////////////////////////////////////////
/// 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_geometric.inl
/// @date 2008-08-03 / 2011-06-15
/// @author Christophe Riccio
///////////////////////////////////////////////////////////////////////////////////
namespace glm
{
// length
template <typename genType>
GLM_FUNC_QUALIFIER genType length
(
genType const & x
)
{
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'length' only accept floating-point inputs");
genType sqr = x * x;
return sqrt(sqr);
}
template <typename T>
GLM_FUNC_QUALIFIER typename detail::tvec2<T>::value_type length
(
detail::tvec2<T> const & v
)
{
GLM_STATIC_ASSERT(detail::type<T>::is_float, "'length' only accept floating-point inputs");
typename detail::tvec2<T>::value_type sqr = v.x * v.x + v.y * v.y;
return sqrt(sqr);
}
template <typename T>
GLM_FUNC_QUALIFIER typename detail::tvec3<T>::value_type length
(
detail::tvec3<T> const & v
)
{
GLM_STATIC_ASSERT(detail::type<T>::is_float, "'length' only accept floating-point inputs");
typename detail::tvec3<T>::value_type sqr = v.x * v.x + v.y * v.y + v.z * v.z;
return sqrt(sqr);
}
template <typename T>
GLM_FUNC_QUALIFIER typename detail::tvec4<T>::value_type length
(
detail::tvec4<T> const & v
)
{
GLM_STATIC_ASSERT(detail::type<T>::is_float, "'length' only accept floating-point inputs");
typename detail::tvec4<T>::value_type sqr = v.x * v.x + v.y * v.y + v.z * v.z + v.w * v.w;
return sqrt(sqr);
}
// distance
template <typename genType>
GLM_FUNC_QUALIFIER genType distance
(
genType const & p0,
genType const & p1
)
{
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'distance' only accept floating-point inputs");
return length(p1 - p0);
}
template <typename T>
GLM_FUNC_QUALIFIER typename detail::tvec2<T>::value_type distance
(
detail::tvec2<T> const & p0,
detail::tvec2<T> const & p1
)
{
GLM_STATIC_ASSERT(detail::type<T>::is_float, "'distance' only accept floating-point inputs");
return length(p1 - p0);
}
template <typename T>
GLM_FUNC_QUALIFIER typename detail::tvec3<T>::value_type distance
(
detail::tvec3<T> const & p0,
detail::tvec3<T> const & p1
)
{
GLM_STATIC_ASSERT(detail::type<T>::is_float, "'distance' only accept floating-point inputs");
return length(p1 - p0);
}
template <typename T>
GLM_FUNC_QUALIFIER typename detail::tvec4<T>::value_type distance
(
detail::tvec4<T> const & p0,
detail::tvec4<T> const & p1
)
{
GLM_STATIC_ASSERT(detail::type<T>::is_float, "'distance' only accept floating-point inputs");
return length(p1 - p0);
}
// dot
template <typename genType>
GLM_FUNC_QUALIFIER genType dot
(
genType const & x,
genType const & y
)
{
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'dot' only accept floating-point inputs");
return x * y;
}
template <typename T>
GLM_FUNC_QUALIFIER typename detail::tvec2<T>::value_type dot
(
detail::tvec2<T> const & x,
detail::tvec2<T> const & y
)
{
GLM_STATIC_ASSERT(detail::type<T>::is_float, "'dot' only accept floating-point inputs");
return x.x * y.x + x.y * y.y;
}
template <typename T>
GLM_FUNC_QUALIFIER T dot
(
detail::tvec3<T> const & x,
detail::tvec3<T> const & y
)
{
GLM_STATIC_ASSERT(detail::type<T>::is_float, "'dot' only accept floating-point inputs");
return x.x * y.x + x.y * y.y + x.z * y.z;
}
/* // SSE3
GLM_FUNC_QUALIFIER float dot(const tvec4<float>& x, const tvec4<float>& y)
{
float Result;
__asm
{
mov esi, x
mov edi, y
movaps xmm0, [esi]
mulps xmm0, [edi]
haddps( _xmm0, _xmm0 )
haddps( _xmm0, _xmm0 )
movss Result, xmm0
}
return Result;
}
*/
template <typename T>
GLM_FUNC_QUALIFIER T dot
(
detail::tvec4<T> const & x,
detail::tvec4<T> const & y
)
{
GLM_STATIC_ASSERT(detail::type<T>::is_float, "'dot' only accept floating-point inputs");
return x.x * y.x + x.y * y.y + x.z * y.z + x.w * y.w;
}
// cross
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec3<T> cross
(
detail::tvec3<T> const & x,
detail::tvec3<T> const & y
)
{
GLM_STATIC_ASSERT(detail::type<T>::is_float, "'cross' only accept floating-point inputs");
return detail::tvec3<T>(
x.y * y.z - y.y * x.z,
x.z * y.x - y.z * x.x,
x.x * y.y - y.x * x.y);
}
// normalize
template <typename genType>
GLM_FUNC_QUALIFIER genType normalize
(
genType const & x
)
{
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'normalize' only accept floating-point inputs");
return x < genType(0) ? genType(-1) : genType(1);
}
// According to issue 10 GLSL 1.10 specification, if length(x) == 0 then result is undefine and generate an error
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec2<T> normalize
(
detail::tvec2<T> const & x
)
{
GLM_STATIC_ASSERT(detail::type<T>::is_float, "'normalize' only accept floating-point inputs");
typename detail::tvec2<T>::value_type sqr = x.x * x.x + x.y * x.y;
return x * inversesqrt(sqr);
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec3<T> normalize
(
detail::tvec3<T> const & x
)
{
GLM_STATIC_ASSERT(detail::type<T>::is_float, "'normalize' only accept floating-point inputs");
typename detail::tvec3<T>::value_type sqr = x.x * x.x + x.y * x.y + x.z * x.z;
return x * inversesqrt(sqr);
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec4<T> normalize
(
detail::tvec4<T> const & x
)
{
GLM_STATIC_ASSERT(detail::type<T>::is_float, "'normalize' only accept floating-point inputs");
typename detail::tvec4<T>::value_type sqr = x.x * x.x + x.y * x.y + x.z * x.z + x.w * x.w;
return x * inversesqrt(sqr);
}
// faceforward
template <typename genType>
GLM_FUNC_QUALIFIER genType faceforward
(
genType const & N,
genType const & I,
genType const & Nref
)
{
return dot(Nref, I) < 0 ? N : -N;
}
// reflect
template <typename genType>
GLM_FUNC_QUALIFIER genType reflect
(
genType const & I,
genType const & N
)
{
return I - N * dot(N, I) * genType(2);
}
// refract
template <typename genType>
GLM_FUNC_QUALIFIER genType refract
(
genType const & I,
genType const & N,
genType const & eta
)
{
//It could be a vector
//GLM_STATIC_ASSERT(detail::type<genType>::is_float);
genType dotValue = dot(N, I);
genType k = genType(1) - eta * eta * (genType(1) - dotValue * dotValue);
if(k < genType(0))
return genType(0);
else
return eta * I - (eta * dotValue + sqrt(k)) * N;
}
template <typename genType>
GLM_FUNC_QUALIFIER genType refract
(
genType const & I,
genType const & N,
typename genType::value_type const & eta
)
{
//It could be a vector
//GLM_STATIC_ASSERT(detail::type<genType>::is_float);
typename genType::value_type dotValue = dot(N, I);
typename genType::value_type k = typename genType::value_type(1) - eta * eta * (typename genType::value_type(1) - dotValue * dotValue);
if(k < typename genType::value_type(0))
return genType(0);
else
return eta * I - (eta * dotValue + sqrt(k)) * N;
}
}//namespace glm
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