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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_geometric.inl
+/// @date 2008-08-03 / 2011-06-15
+/// @author Christophe Riccio
+///////////////////////////////////////////////////////////////////////////////////
+
+#include "func_exponential.hpp"
+#include "func_common.hpp"
+#include "type_vec2.hpp"
+#include "type_vec4.hpp"
+#include "type_float.hpp"
+
+namespace glm{
+namespace detail
+{
+ template <template <class, precision> class vecType, typename T, precision P>
+ struct compute_dot{};
+
+ template <typename T, precision P>
+ struct compute_dot<tvec1, T, P>
+ {
+ GLM_FUNC_QUALIFIER static T call(tvec1<T, P> const & a, tvec1<T, P> const & b)
+ {
+ return a.x * b.x;
+ }
+ };
+
+ template <typename T, precision P>
+ struct compute_dot<tvec2, T, P>
+ {
+ GLM_FUNC_QUALIFIER static T call(tvec2<T, P> const & x, tvec2<T, P> const & y)
+ {
+ tvec2<T, P> tmp(x * y);
+ return tmp.x + tmp.y;
+ }
+ };
+
+ template <typename T, precision P>
+ struct compute_dot<tvec3, T, P>
+ {
+ GLM_FUNC_QUALIFIER static T call(tvec3<T, P> const & x, tvec3<T, P> const & y)
+ {
+ tvec3<T, P> tmp(x * y);
+ return tmp.x + tmp.y + tmp.z;
+ }
+ };
+
+ template <typename T, precision P>
+ struct compute_dot<tvec4, T, P>
+ {
+ GLM_FUNC_QUALIFIER static T call(tvec4<T, P> const & x, tvec4<T, P> const & y)
+ {
+ tvec4<T, P> tmp(x * y);
+ return (tmp.x + tmp.y) + (tmp.z + tmp.w);
+ }
+ };
+}//namespace detail
+
+ // length
+ template <typename genType>
+ GLM_FUNC_QUALIFIER genType length(genType x)
+ {
+ GLM_STATIC_ASSERT(std::numeric_limits<genType>::is_iec559, "'length' only accept floating-point inputs");
+
+ return abs(x);
+ }
+
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_QUALIFIER T length(vecType<T, P> const & v)
+ {
+ GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'length' only accept floating-point inputs");
+
+ return sqrt(dot(v, v));
+ }
+
+ // distance
+ template <typename genType>
+ GLM_FUNC_QUALIFIER genType distance(genType const & p0, genType const & p1)
+ {
+ GLM_STATIC_ASSERT(std::numeric_limits<genType>::is_iec559, "'distance' only accept floating-point inputs");
+
+ return length(p1 - p0);
+ }
+
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_QUALIFIER T distance(vecType<T, P> const & p0, vecType<T, P> const & p1)
+ {
+ return length(p1 - p0);
+ }
+
+ // dot
+ template <typename T>
+ GLM_FUNC_QUALIFIER T dot(T x, T y)
+ {
+ GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'dot' only accept floating-point inputs");
+ return x * y;
+ }
+
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_QUALIFIER T dot(vecType<T, P> const & x, vecType<T, P> const & y)
+ {
+ GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'dot' only accept floating-point inputs");
+ return detail::compute_dot<vecType, T, P>::call(x, y);
+ }
+
+ // cross
+ template <typename T, precision P>
+ GLM_FUNC_QUALIFIER tvec3<T, P> cross(tvec3<T, P> const & x, tvec3<T, P> const & y)
+ {
+ GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'cross' only accept floating-point inputs");
+
+ return tvec3<T, P>(
+ 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(std::numeric_limits<genType>::is_iec559, "'normalize' only accept floating-point inputs");
+
+ return x < genType(0) ? genType(-1) : genType(1);
+ }
+
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_QUALIFIER vecType<T, P> normalize(vecType<T, P> const & x)
+ {
+ GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'normalize' only accept floating-point inputs");
+
+ return x * inversesqrt(dot(x, x));
+ }
+
+ // faceforward
+ template <typename genType>
+ GLM_FUNC_QUALIFIER genType faceforward(genType const & N, genType const & I, genType const & Nref)
+ {
+ return dot(Nref, I) < static_cast<genType>(0) ? N : -N;
+ }
+
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_QUALIFIER vecType<T, P> faceforward(vecType<T, P> const & N, vecType<T, P> const & I, vecType<T, P> const & Nref)
+ {
+ return dot(Nref, I) < static_cast<T>(0) ? N : -N;
+ }
+
+ // reflect
+ template <typename genType>
+ GLM_FUNC_QUALIFIER genType reflect(genType const & I, genType const & N)
+ {
+ return I - N * dot(N, I) * static_cast<genType>(2);
+ }
+
+ // refract
+ template <typename genType>
+ GLM_FUNC_QUALIFIER genType refract(genType const & I, genType const & N, genType const & eta)
+ {
+ GLM_STATIC_ASSERT(std::numeric_limits<genType>::is_iec559, "'refract' only accept floating-point inputs");
+
+ genType const dotValue(dot(N, I));
+ genType const k(static_cast<genType>(1) - eta * eta * (static_cast<genType>(1) - dotValue * dotValue));
+ return (eta * I - (eta * dotValue + sqrt(k)) * N) * static_cast<genType>(k >= static_cast<genType>(0));
+ }
+
+ template <typename T, precision P, template <typename, precision> class vecType>
+ GLM_FUNC_QUALIFIER vecType<T, P> refract(vecType<T, P> const & I, vecType<T, P> const & N, T eta)
+ {
+ GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'refract' only accept floating-point inputs");
+
+ T const dotValue(dot(N, I));
+ T const k(static_cast<T>(1) - eta * eta * (static_cast<T>(1) - dotValue * dotValue));
+ return (eta * I - (eta * dotValue + std::sqrt(k)) * N) * static_cast<T>(k >= static_cast<T>(0));
+ }
+}//namespace glm