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