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+///////////////////////////////////////////////////////////////////////////////////////////////////
+// OpenGL Mathematics Copyright (c) 2005 - 2011 G-Truc Creation (www.g-truc.net)
+///////////////////////////////////////////////////////////////////////////////////////////////////
+// Created : 2008-08-03
+// Updated : 2010-02-04
+// Licence : This source is under MIT License
+// File : glm/core/func_geometric.inl
+///////////////////////////////////////////////////////////////////////////////////////////////////
+
+namespace glm
+{
+ namespace core{
+ namespace function{
+ namespace geometric{
+
+ // 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>
+ genType reflect
+ (
+ genType const & I,
+ genType const & N
+ )
+ {
+ return I - N * dot(N, I) * float(2);
+ }
+
+ // refract
+ 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 geometric
+ }//namespace function
+ }//namespace core
+}//namespace glm