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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