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+/// @ref gtx_matrix_query
+/// @file glm/gtx/matrix_query.inl
+
+namespace glm
+{
+ template<typename T, precision P>
+ GLM_FUNC_QUALIFIER bool isNull(tmat2x2<T, P> const & m, T const & epsilon)
+ {
+ bool result = true;
+ for(length_t i = 0; result && i < m.length() ; ++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(length_t i = 0; result && i < m.length() ; ++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(length_t i = 0; result && i < m.length() ; ++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(length_t i = 0; result && i < m[0].length() ; ++i)
+ {
+ for(length_t j = 0; result && j < i ; ++j)
+ result = abs(m[i][j]) <= epsilon;
+ if(result)
+ result = abs(m[i][i] - 1) <= epsilon;
+ for(length_t j = i + 1; result && j < m.length(); ++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(length_t i = 0; result && i < m.length(); ++i)
+ result = isNormalized(m[i], epsilon);
+ for(length_t i = 0; result && i < m.length(); ++i)
+ {
+ typename tmat2x2<T, P>::col_type v;
+ for(length_t j = 0; j < m.length(); ++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(length_t i = 0; result && i < m.length(); ++i)
+ result = isNormalized(m[i], epsilon);
+ for(length_t i = 0; result && i < m.length(); ++i)
+ {
+ typename tmat3x3<T, P>::col_type v;
+ for(length_t j = 0; j < m.length(); ++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(length_t i = 0; result && i < m.length(); ++i)
+ result = isNormalized(m[i], epsilon);
+ for(length_t i = 0; result && i < m.length(); ++i)
+ {
+ typename tmat4x4<T, P>::col_type v;
+ for(length_t j = 0; j < m.length(); ++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(length_t i(0); result && i < m.length() - 1; ++i)
+ for(length_t j(i + 1); result && j < m.length(); ++j)
+ result = areOrthogonal(m[i], m[j], epsilon);
+
+ if(result)
+ {
+ matType<T, P> tmp = transpose(m);
+ for(length_t i(0); result && i < m.length() - 1 ; ++i)
+ for(length_t j(i + 1); result && j < m.length(); ++j)
+ result = areOrthogonal(tmp[i], tmp[j], epsilon);
+ }
+ return result;
+ }
+}//namespace glm