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///////////////////////////////////////////////////////////////////////////////////
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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 gtx_matrix_query
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/// @file glm/gtx/matrix_query.inl
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/// @date 2007-03-05 / 2007-03-05
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/// @author Christophe Riccio
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///////////////////////////////////////////////////////////////////////////////////
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namespace glm
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{
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template<typename T, precision P>
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GLM_FUNC_QUALIFIER bool isNull(tmat2x2<T, P> const & m, T const & epsilon)
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{
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bool result = true;
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for(detail::component_count_t i = 0; result && i < 2 ; ++i)
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result = isNull(m[i], epsilon);
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return result;
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}
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template<typename T, precision P>
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GLM_FUNC_QUALIFIER bool isNull(tmat3x3<T, P> const & m, T const & epsilon)
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{
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bool result = true;
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for(detail::component_count_t i = 0; result && i < 3 ; ++i)
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result = isNull(m[i], epsilon);
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return result;
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}
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template<typename T, precision P>
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GLM_FUNC_QUALIFIER bool isNull(tmat4x4<T, P> const & m, T const & epsilon)
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{
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bool result = true;
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for(detail::component_count_t i = 0; result && i < 4 ; ++i)
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result = isNull(m[i], epsilon);
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return result;
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}
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template<typename T, precision P, template <typename, precision> class matType>
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GLM_FUNC_QUALIFIER bool isIdentity(matType<T, P> const & m, T const & epsilon)
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{
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bool result = true;
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for(detail::component_count_t i(0); result && i < detail::component_count(m[0]); ++i)
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{
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for(detail::component_count_t j(0); result && j < i ; ++j)
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result = abs(m[i][j]) <= epsilon;
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if(result)
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result = abs(m[i][i] - 1) <= epsilon;
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for(detail::component_count_t j(i + 1); result && j < detail::component_count(m); ++j)
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result = abs(m[i][j]) <= epsilon;
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}
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return result;
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}
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template<typename T, precision P>
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GLM_FUNC_QUALIFIER bool isNormalized(tmat2x2<T, P> const & m, T const & epsilon)
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{
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bool result(true);
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for(detail::component_count_t i(0); result && i < detail::component_count(m); ++i)
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result = isNormalized(m[i], epsilon);
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for(detail::component_count_t i(0); result && i < detail::component_count(m); ++i)
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{
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typename tmat2x2<T, P>::col_type v;
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for(detail::component_count_t j(0); j < detail::component_count(m); ++j)
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v[j] = m[j][i];
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result = isNormalized(v, epsilon);
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}
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return result;
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}
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template<typename T, precision P>
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GLM_FUNC_QUALIFIER bool isNormalized(tmat3x3<T, P> const & m, T const & epsilon)
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{
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bool result(true);
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for(detail::component_count_t i(0); result && i < detail::component_count(m); ++i)
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result = isNormalized(m[i], epsilon);
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for(detail::component_count_t i(0); result && i < detail::component_count(m); ++i)
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{
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typename tmat3x3<T, P>::col_type v;
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for(detail::component_count_t j(0); j < detail::component_count(m); ++j)
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v[j] = m[j][i];
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result = isNormalized(v, epsilon);
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}
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return result;
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}
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template<typename T, precision P>
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GLM_FUNC_QUALIFIER bool isNormalized(tmat4x4<T, P> const & m, T const & epsilon)
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{
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bool result(true);
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for(detail::component_count_t i(0); result && i < detail::component_count(m); ++i)
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result = isNormalized(m[i], epsilon);
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for(detail::component_count_t i(0); result && i < detail::component_count(m); ++i)
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{
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typename tmat4x4<T, P>::col_type v;
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for(detail::component_count_t j(0); j < detail::component_count(m); ++j)
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v[j] = m[j][i];
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result = isNormalized(v, epsilon);
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}
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return result;
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}
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template<typename T, precision P, template <typename, precision> class matType>
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GLM_FUNC_QUALIFIER bool isOrthogonal(matType<T, P> const & m, T const & epsilon)
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{
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bool result(true);
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for(detail::component_count_t i(0); result && i < detail::component_count(m) - 1; ++i)
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for(detail::component_count_t j(i + 1); result && j < detail::component_count(m); ++j)
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result = areOrthogonal(m[i], m[j], epsilon);
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if(result)
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{
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matType<T, P> tmp = transpose(m);
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for(detail::component_count_t i(0); result && i < detail::component_count(m) - 1 ; ++i)
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for(detail::component_count_t j(i + 1); result && j < detail::component_count(m); ++j)
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result = areOrthogonal(tmp[i], tmp[j], epsilon);
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}
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return result;
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}
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}//namespace glm
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