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+///////////////////////////////////////////////////////////////////////////////////////////////////
+// OpenGL Mathematics Copyright (c) 2005 - 2011 G-Truc Creation (www.g-truc.net)
+///////////////////////////////////////////////////////////////////////////////////////////////////
+// Created : 2007-03-05
+// Updated : 2007-03-05
+// Licence : This source is under MIT License
+// File : glm/gtx/matrix_query.inl
+///////////////////////////////////////////////////////////////////////////////////////////////////
+// Dependency:
+// - GLM core
+///////////////////////////////////////////////////////////////////////////////////////////////////
+
+namespace glm{
+namespace gtx{
+namespace matrix_query
+{
+ template<typename T>
+ GLM_FUNC_QUALIFIER bool isNull(
+ const detail::tmat2x2<T>& m,
+ const T epsilon)
+ {
+ bool result = true;
+ for(int i = 0; result && i < 2 ; ++i)
+ result = isNull(m[i], epsilon);
+ return result;
+ }
+
+ template<typename T>
+ GLM_FUNC_QUALIFIER bool isNull(
+ const detail::tmat3x3<T>& m,
+ const T epsilon)
+ {
+ bool result = true;
+ for(int i = 0; result && i < 3 ; ++i)
+ result = isNull(m[i], epsilon);
+ return result;
+ }
+
+ template<typename T>
+ GLM_FUNC_QUALIFIER bool isNull(
+ const detail::tmat4x4<T>& m,
+ const T epsilon)
+ {
+ bool result = true;
+ for(int i = 0; result && i < 4 ; ++i)
+ result = isNull(m[i], epsilon);
+ return result;
+ }
+
+ template<typename genType>
+ GLM_FUNC_QUALIFIER bool isIdentity(
+ const genType& m,
+ const typename genType::value_type epsilon)
+ {
+ bool result = true;
+ for(typename genType::value_type i = typename genType::value_type(0); result && i < genType::col_size(); ++i)
+ {
+ for(typename genType::value_type j = typename genType::value_type(0); result && j < i ; ++j)
+ result = abs(m[i][j]) <= epsilon;
+ if(result)
+ result = abs(m[i][i] - typename genType::value_type(1)) <= epsilon;
+ for(typename genType::value_type j = i + typename genType::value_type(1); result && j < genType::row_size(); ++j)
+ result = abs(m[i][j]) <= epsilon;
+ }
+ return result;
+ }
+
+ template<typename T>
+ GLM_FUNC_QUALIFIER bool isNormalized(
+ const detail::tmat2x2<T>& m,
+ const T epsilon)
+ {
+ bool result = true;
+ for(int i = 0; result && i < 2; ++i)
+ result = isNormalized(m[i], epsilon);
+ for(int i = 0; result && i < 2; ++i)
+ {
+ detail::tvec2<T> v;
+ for(int j = 0; j < 2; ++j)
+ v[j] = m[j][i];
+ result = isNormalized(v, epsilon);
+ }
+ return result;
+ }
+
+ template<typename T>
+ GLM_FUNC_QUALIFIER bool isNormalized(
+ const detail::tmat3x3<T>& m,
+ const T epsilon)
+ {
+ bool result = true;
+ for(int i = 0; result && i < 3; ++i)
+ result = isNormalized(m[i], epsilon);
+ for(int i = 0; result && i < 3; ++i)
+ {
+ detail::tvec3<T> v;
+ for(int j = 0; j < 3; ++j)
+ v[j] = m[j][i];
+ result = isNormalized(v, epsilon);
+ }
+ return result;
+ }
+
+ template<typename T>
+ GLM_FUNC_QUALIFIER bool isNormalized(
+ const detail::tmat4x4<T>& m,
+ const T epsilon)
+ {
+ bool result = true;
+ for(int i = 0; result && i < 4; ++i)
+ result = isNormalized(m[i], epsilon);
+ for(int i = 0; result && i < 4; ++i)
+ {
+ detail::tvec4<T> v;
+ for(int j = 0; j < 4; ++j)
+ v[j] = m[j][i];
+ result = isNormalized(v, epsilon);
+ }
+ return result;
+ }
+
+ template<typename genType>
+ GLM_FUNC_QUALIFIER bool isOrthogonal(
+ const genType& m,
+ const typename genType::value_type epsilon)
+ {
+ bool result = true;
+ for(int i = 0; result && i < genType::col_size() - 1; ++i)
+ for(int j= i + 1; result && j < genType::col_size(); ++j)
+ result = areOrthogonal(m[i], m[j], epsilon);
+
+ if(result)
+ {
+ genType tmp = transpose(m);
+ for(int i = 0; result && i < genType::col_size() - 1 ; ++i)
+ for(int j = i + 1; result && j < genType::col_size(); ++j)
+ result = areOrthogonal(tmp[i], tmp[j], epsilon);
+ }
+ return result;
+ }
+
+}//namespace matrix_query
+}//namespace gtx
+}//namespace glm