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202 lines
6.9 KiB
C++
202 lines
6.9 KiB
C++
///////////////////////////////////////////////////////////////////////////////////
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/// OpenGL Mathematics (glm.g-truc.net)
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///
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/// Copyright (c) 2005 - 2015 G-Truc Creation (www.g-truc.net)
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/// Permission is hereby granted, free of charge, to any person obtaining a copy
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/// of this software and associated documentation files (the "Software"), to deal
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/// in the Software without restriction, including without limitation the rights
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/// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
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/// copies of the Software, and to permit persons to whom the Software is
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/// furnished to do so, subject to the following conditions:
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///
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/// The above copyright notice and this permission notice shall be included in
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/// all copies or substantial portions of the Software.
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///
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/// Restrictions:
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/// By making use of the Software for military purposes, you choose to make
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/// a Bunny unhappy.
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///
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/// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
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/// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
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/// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
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/// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
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/// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
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/// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
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/// THE SOFTWARE.
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///
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/// @ref core
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/// @file glm/detail/func_geometric.inl
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/// @date 2008-08-03 / 2011-06-15
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/// @author Christophe Riccio
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///////////////////////////////////////////////////////////////////////////////////
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#include "func_exponential.hpp"
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#include "func_common.hpp"
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#include "type_vec2.hpp"
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#include "type_vec4.hpp"
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#include "type_float.hpp"
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namespace glm{
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namespace detail
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{
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template <template <class, precision> class vecType, typename T, precision P>
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struct compute_dot{};
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template <typename T, precision P>
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struct compute_dot<tvec1, T, P>
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{
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GLM_FUNC_QUALIFIER static T call(tvec1<T, P> const & a, tvec1<T, P> const & b)
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{
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return a.x * b.x;
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}
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};
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template <typename T, precision P>
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struct compute_dot<tvec2, T, P>
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{
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GLM_FUNC_QUALIFIER static T call(tvec2<T, P> const & x, tvec2<T, P> const & y)
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{
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tvec2<T, P> tmp(x * y);
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return tmp.x + tmp.y;
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}
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};
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template <typename T, precision P>
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struct compute_dot<tvec3, T, P>
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{
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GLM_FUNC_QUALIFIER static T call(tvec3<T, P> const & x, tvec3<T, P> const & y)
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{
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tvec3<T, P> tmp(x * y);
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return tmp.x + tmp.y + tmp.z;
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}
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};
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template <typename T, precision P>
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struct compute_dot<tvec4, T, P>
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{
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GLM_FUNC_QUALIFIER static T call(tvec4<T, P> const & x, tvec4<T, P> const & y)
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{
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tvec4<T, P> tmp(x * y);
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return (tmp.x + tmp.y) + (tmp.z + tmp.w);
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}
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};
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}//namespace detail
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// length
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template <typename genType>
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GLM_FUNC_QUALIFIER genType length(genType x)
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{
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GLM_STATIC_ASSERT(std::numeric_limits<genType>::is_iec559, "'length' only accept floating-point inputs");
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return abs(x);
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}
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template <typename T, precision P, template <typename, precision> class vecType>
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GLM_FUNC_QUALIFIER T length(vecType<T, P> const & v)
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{
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GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'length' only accept floating-point inputs");
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return sqrt(dot(v, v));
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}
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// distance
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template <typename genType>
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GLM_FUNC_QUALIFIER genType distance(genType const & p0, genType const & p1)
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{
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GLM_STATIC_ASSERT(std::numeric_limits<genType>::is_iec559, "'distance' only accept floating-point inputs");
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return length(p1 - p0);
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}
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template <typename T, precision P, template <typename, precision> class vecType>
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GLM_FUNC_QUALIFIER T distance(vecType<T, P> const & p0, vecType<T, P> const & p1)
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{
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return length(p1 - p0);
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}
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// dot
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template <typename T>
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GLM_FUNC_QUALIFIER T dot(T x, T y)
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{
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GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'dot' only accept floating-point inputs");
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return x * y;
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}
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template <typename T, precision P, template <typename, precision> class vecType>
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GLM_FUNC_QUALIFIER T dot(vecType<T, P> const & x, vecType<T, P> const & y)
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{
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GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'dot' only accept floating-point inputs");
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return detail::compute_dot<vecType, T, P>::call(x, y);
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}
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// cross
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template <typename T, precision P>
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GLM_FUNC_QUALIFIER tvec3<T, P> cross(tvec3<T, P> const & x, tvec3<T, P> const & y)
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{
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GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'cross' only accept floating-point inputs");
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return tvec3<T, P>(
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x.y * y.z - y.y * x.z,
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x.z * y.x - y.z * x.x,
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x.x * y.y - y.x * x.y);
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}
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// normalize
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template <typename genType>
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GLM_FUNC_QUALIFIER genType normalize(genType const & x)
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{
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GLM_STATIC_ASSERT(std::numeric_limits<genType>::is_iec559, "'normalize' only accept floating-point inputs");
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return x < genType(0) ? genType(-1) : genType(1);
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}
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template <typename T, precision P, template <typename, precision> class vecType>
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GLM_FUNC_QUALIFIER vecType<T, P> normalize(vecType<T, P> const & x)
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{
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GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'normalize' only accept floating-point inputs");
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return x * inversesqrt(dot(x, x));
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}
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// faceforward
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template <typename genType>
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GLM_FUNC_QUALIFIER genType faceforward(genType const & N, genType const & I, genType const & Nref)
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{
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return dot(Nref, I) < static_cast<genType>(0) ? N : -N;
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}
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template <typename T, precision P, template <typename, precision> class vecType>
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GLM_FUNC_QUALIFIER vecType<T, P> faceforward(vecType<T, P> const & N, vecType<T, P> const & I, vecType<T, P> const & Nref)
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{
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return dot(Nref, I) < static_cast<T>(0) ? N : -N;
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}
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// reflect
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template <typename genType>
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GLM_FUNC_QUALIFIER genType reflect(genType const & I, genType const & N)
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{
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return I - N * dot(N, I) * static_cast<genType>(2);
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}
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// refract
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template <typename genType>
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GLM_FUNC_QUALIFIER genType refract(genType const & I, genType const & N, genType const & eta)
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{
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GLM_STATIC_ASSERT(std::numeric_limits<genType>::is_iec559, "'refract' only accept floating-point inputs");
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genType const dotValue(dot(N, I));
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genType const k(static_cast<genType>(1) - eta * eta * (static_cast<genType>(1) - dotValue * dotValue));
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return (eta * I - (eta * dotValue + sqrt(k)) * N) * static_cast<genType>(k >= static_cast<genType>(0));
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}
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template <typename T, precision P, template <typename, precision> class vecType>
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GLM_FUNC_QUALIFIER vecType<T, P> refract(vecType<T, P> const & I, vecType<T, P> const & N, T eta)
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{
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GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559, "'refract' only accept floating-point inputs");
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T const dotValue(dot(N, I));
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T const k(static_cast<T>(1) - eta * eta * (static_cast<T>(1) - dotValue * dotValue));
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return (eta * I - (eta * dotValue + std::sqrt(k)) * N) * static_cast<T>(k >= static_cast<T>(0));
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}
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}//namespace glm
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